{"text_format":"3","workbook":"xlsx","n_sheets":18,"sheets":["Setup","Chart","LD","LD whole secs","LW5","LW6","LW7","LW8","LW9","LW10","LM28","LM35","LM30","LS 49yerm","Cross","Scale","Astro","Data"],"not_rendered":{"charts":2,"macros":1,"defined_names":33,"comments":1},"unopened":[{"sheet":"Chart","index":1,"reason":"not_a_worksheet"}],"read":"whole","date_system":"1900"}

{"sheet":"Setup","index":0,"n_rows":53,"n_cols":10,"rows_kept":53,"merged":[[21,6,21,7],[22,6,22,7],[23,6,23,7],[24,6,24,7],[25,6,25,7],[26,6,26,7],[27,6,27,7],[28,6,28,7],[29,6,29,7],[30,6,30,7],[31,6,31,7]]}
["Find Solar Calendar Seasons"]
[]
["by Dr. Irv Bromberg, University of Toronto, Canada",{"$nulls":4},"Version 5.06(38), revised 2022.03.14"]
["http://individual.utoronto.ca/kalendis/leap/",{"$nulls":3},"http://individual.utoronto.ca/kalendis/seasons.htm"]
[]
["Leap Days Per Cycle: ",71," LPC"]
["Years Per Cycle: ",293," YPC",null,null,true]
["Step Size (years): ",500," prefer lunar cycle multiples (19, 38, 57, 76, 95, 114, 277, 296, 315, 334, 353, 372, 391), see below"]
["Middle Year: ",2500," middle year will be start of step (or cycle if step size equals years per cycle) containing specified year"]
["Longest Solar Year: ",{"$f":"5/24+2.13489604E-16*y*y*y-1.72478985E-12*y*y-0.000000140497374*y+0.0346954352","v":"05:49:26.695"},"h:mm:ss >365d =",null,{"$f":"365+B10","v":{"v":365.2426700809368,"d":"365.242670080937"}},"days"]
["Average Solar Year: ",{"$f":"5/24+2.11082817E-16*y*y*y-1.23968308E-12*y*y-0.000000130773181*y+0.0341008455","v":"05:48:37.682"},"h:mm:ss >365d =",null,{"$f":"365+B11","v":{"v":365.2421027960306,"d":"365.242102796031"}},"days"]
["Shortest Solar Year: ",{"$f":"5/24+2.0867603E-16*y*y*y-7.54576297E-13*y*y-0.000000121048988*y+0.0335062557","v":"05:47:48.668"},"h:mm:ss >365d =",null,{"$f":"365+B12","v":{"v":365.24153551102444,"d":"365.241535511024"}},"days"]
["Longest – Shortest: ",{"$f":"B10-B12","v":"00:01:38.027"},"m:ss =",null,{"$f":"B13","v":{"v":1.1345699123875286E-3,"d":"0.001134569912"}},"days =",{"$f":"E13*1440","v":{"v":1.6337806738380412,"d":"1.634"}},"minutes =",{"$f":"G13*60","v":{"v":98.02684043028248,"d":"98.0"}},"seconds"]
["Cycle Mean Year: ",{"$f":"IF(LPC/YPC<Shortest,REPT(\"ê\",MIN(5,CEILING((Shortest-LPC/YPC)/Span,1))),IF(LPC/YPC>Longest,REPT(\"é\",MIN(5,CEILING((LPC/YPC-Longest)/Span,1))),\"J\"))","v":"J"},{"$f":"\"365+\"&B6&\"/\"&B7&\" days ≡ 365 days \"&ExactTime(LPC,YPC)&\" = 365\"&MID(B6/B7,2,30)&\" days\"","v":"365+71/293 days ≡ 365 days 5h 48m 56+152/293s = 365.242320819112628 days"}]
[]
["Delta T Multiplier: ",1," 1=normal, 0 to <1 = less Earth rotation slowing, >1 to 2 = more Earth rotation slowing"]
[]
["Use this Continued Fraction calculator to help you choose LPC and YPC values:"]
[{"$nulls":5}," Enter as fraction expression like \"=71/293\""]
[{"$nulls":3},"Fraction or Time to Approximate: ","05:49:05.166"," or as decimal number or as time like 5:49:12"]
[]
["Convergent","alpha","LPC","YPC","LPC / YPC","ppt Error","Exact Time",null,"DPC","DPC / 7"]
[{"v":3,"d":"3   "},{"$f":"ContinuedFraction(MOD(E20,1),A23,A32)","v":1},8,33,{"v":0.24242424242424243,"d":"0.24242424242424"},{"v":13762106.143021349,"d":"13762106"},{"$f":"ExactTime(C23,D23)","v":"5h 49m 5+5/11s"},null,{"$f":"365*D23+C23","v":12053},{"$f":"ReduceFraction(I23,7,FALSE,FALSE,TRUE)","v":"1721+6/7"}]
[{"$f":"A23+1","v":{"v":4,"d":"4   "}},274,2199,9071,{"v":0.242420901774887,"d":"0.24242090177489"},{"v":18262.09237117191,"d":"18262"},"5h 49m 5+1505/9071s",null,3313114,{"$f":"ReduceFraction(I24,7,FALSE,FALSE,TRUE)","v":"473302"}]
[{"$f":"A24+1","v":{"v":5,"d":"5   "}},2,4406,18175,{"v":0.24242090784044015,"d":"0.24242090784044"},{"v":6758.658677552581,"d":"6759"},"5h 49m 5+121/727s",null,6638281,"948325+6/7"]
[{"v":6,"d":"6   "},1,6605,27246,{"v":0.24242090582103795,"d":"0.24242090582104"},{"v":1571.4900404453472,"d":"1571"},"5h 49m 5+755/4541s",null,9951395,"1421627+6/7"]
[{"v":7,"d":"7   "},2,17616,72667,{"v":0.24242090632611776,"d":"0.24242090632612"},{"v":511.9928539191477,"d":"512"},"5h 49m 5+12085/72667s",null,26541071,"3791581+4/7"]
[{"v":8,"d":"8   "},1,24221,99913,{"v":0.24242090618838388,"d":"0.24242090618838"},{"v":56.16721946235334,"d":"56"},"5h 49m 5+16615/99913s",null,36492466,"5213209+3/7"]
[{"v":9,"d":"9   "},6,162942,672145,{"v":0.24242090620327458,"d":"0.24242090620328"},{"v":5.257762473500709,"d":"5"},"5h 49m 5+22355/134429s",null,245495867,"35070838+1/7"]
[{"v":10,"d":"10   "},1,187163,772058,{"v":0.24242090620134757,"d":"0.24242090620135"},{"v":2.691280098909187,"d":"3"},"5h 49m 5+64195/386029s",null,281988333,"40284047+4/7"]
[{"$f":"A30+1","v":{"v":11,"d":"11   "}},1,350105,1444203,{"v":0.24242090620224443,"d":"0.24242090620224"},{"v":1.008342713821714,"d":"1"},"5h 49m 5+8895/53489s",null,527484200,"75354885+5/7"]
[{"$f":"A31+1","v":{"v":12,"d":"12   "}},1,537268,2216261,{"v":0.242420906201932,"d":"0.24242090620193"},{"v":0.28050864640208917,"d":"0"},"5h 49m 5+368555/2216261s",null,809472533,"115638933+2/7"]
[]
[{"$f":"\"Continued Fraction calculator to find a Step Size multiple of the lunar cycle in the era of Middle Year \"&MiddleYear&\":\"","v":"Continued Fraction calculator to find a Step Size multiple of the lunar cycle in the era of Middle Year 2500:"}]
[]
["Mean Synodic Month","Days","HH:MM","Seconds","Description"]
[{"$f":"\"at Middle Year \"&MiddleYear&\":\"","v":"at Middle Year 2500:"},29,{"$f":"INT(MOD(E39,1)*1440)/1440","v":"12:44:00"},{"$f":"MOD(86400*MOD(E39,1),60)","v":{"v":2.783502797705296,"d":"2.78"}},"mean lunar conjunction interval (same ecliptic longitude as Sun)"]
[]
[{"$nulls":3},"Mean Synodic Month (MSM) = ",{"$f":"SynodicMonth(MiddleYear)","v":{"v":29.53058777202312,"d":"29.53058777202310"}}," days"]
[{"$nulls":3},{"$f":"\"Cycle Mean Year (CMY) = 365+\"&LPC&\"/\"&YPC&\" = \"","v":"Cycle Mean Year (CMY) = 365+71/293 = "},{"$f":"365+LPC/YPC","v":{"v":365.24232081911265,"d":"365.24232081911300"}}," days"]
[{"$nulls":3},"Ratio MSM / CMY = ",{"$f":"E39/E40","v":{"v":0.0808520428459555,"d":"0.08085204284596"}}," Prefer step size in Years shown in boldface, or multiples."]
[]
["Convergent","alpha","Years","Lunations","LPC / YPC","ppt Error"]
[{"v":3,"d":"3   "},{"$f":"ContinuedFraction(E41,A44,A53)","v":1},3,37,{"v":0.08108108108108109,"d":"0.08108108108108"},{"v":2832807027.052673,"d":"2832807027"}]
[{"$f":"A44+1","v":{"v":4,"d":"4   "}},2,8,99,{"v":0.08080808080808081,"d":"0.08080808080808"},{"v":543734410.7488219,"d":"543734411"}]
[{"$f":"A45+1","v":{"v":5,"d":"5   "}},1,11,136,{"v":0.08088235294117647,"d":"0.08088235294118"},{"v":374883480.41773474,"d":"374883480"}]
[{"v":6,"d":"6   "},1,19,235,{"v":0.08085106382978724,"d":"0.08085106382979"},{"v":12108737.56306485,"d":"12108738"}]
[{"v":7,"d":"7   "},17,334,4131,{"v":0.08085209392398934,"d":"0.08085209392399"},{"v":631746.9793744675,"d":"631747"}]
[{"v":8,"d":"8   "},1,353,4366,{"v":0.08085203847915712,"d":"0.08085203847916"},{"v":54009.747033204745,"d":"54010"}]
[{"v":9,"d":"9   "},11,4217,52157,{"v":0.08085204287056387,"d":"0.08085204287056"},{"v":304.3630071717322,"d":"304"}]
[{"v":10,"d":"10   "},14,59391,734564,{"v":0.08085204284446283,"d":"0.08085204284446"},{"v":18.46171164625775,"d":"18"}]
[{"$f":"A51+1","v":{"v":11,"d":"11   "}},1,63608,786721,{"v":0.08085204284619325,"d":"0.08085204284619"},{"v":2.9406091961889196,"d":"3"}]
[{"$f":"A52+1","v":{"v":12,"d":"12   "}},5,377431,4668169,{"v":0.08085204284592096,"d":"0.08085204284592"},{"v":0.42722252447549736,"d":"0"}]

{"sheet":"LD","index":2,"n_rows":2546,"n_cols":7,"rows_kept":2546,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Common) Year has 365 and a Long (Leap) Year 366 days (maximum of 2000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 6 long in 25 years and 1 long in 4 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  If the number of days per cycle MOD 6 = 0 then each cycle starts on the same weekday."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","25","4","Mean Year","Decimal","Exact Time"]
[1,4,0,1,"365+1/4",0.25,"06h 00m 0s"]
[35,144,4,11,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[481,1979,55,151,"365+481/1979",0.2430520464881253,"05h 49m 59+1379/1979s"]
[446,1835,51,140,"365+446/1835",0.24305177111716622,"05h 49m 59+247/367s"]
[411,1691,47,129,"365+411/1691",0.2430514488468362,"05h 49m 59+1091/1691s"]
[376,1547,43,118,"365+376/1547",0.24305106658047834,"05h 49m 59+947/1547s"]
[341,1403,39,107,"365+341/1403",0.24305060584461868,"05h 49m 59+803/1403s"]
[306,1259,35,96,"365+306/1259",0.24305003971405878,"05h 49m 59+659/1259s"]
[271,1115,31,85,"365+271/1115",0.2430493273542601,"05h 49m 59+103/223s"]
[236,971,27,74,"365+236/971",0.243048403707518,"05h 49m 59+371/971s"]
[437,1798,50,137,"365+437/1798",0.24304783092324805,"05h 49m 59+299/899s"]
[201,827,23,63,"365+201/827",0.2430471584038694,"05h 49m 59+227/827s"]
[367,1510,42,115,"365+367/1510",0.24304635761589405,"05h 49m 59+31/151s"]
[166,683,19,52,"365+166/683",0.2430453879941435,"05h 49m 59+83/683s"]
[463,1905,53,145,"365+463/1905",0.2430446194225722,"05h 49m 59+7/127s"]
[297,1222,34,93,"365+297/1222",0.2430441898527005,"05h 49m 59+11/611s"]
[428,1761,49,134,"365+428/1761",0.24304372515616127,"05h 49m 58+574/587s"]
[131,539,15,41,"365+131/539",0.24304267161410018,"05h 49m 58+478/539s"]
[358,1473,41,112,"365+358/1473",0.24304141208418195,"05h 49m 58+382/491s"]
[227,934,26,71,"365+227/934",0.2430406852248394,"05h 49m 58+334/467s"]
[323,1329,37,101,"365+323/1329",0.24303987960872836,"05h 49m 58+286/443s"]
[419,1724,48,131,"365+419/1724",0.24303944315545242,"05h 49m 58+262/431s"]
[96,395,11,30,"365+96/395",0.2430379746835443,"05h 49m 58+38/79s"]
[445,1831,51,139,"365+445/1831",0.2430365920262152,"05h 49m 58+662/1831s"]
[349,1436,40,109,"365+349/1436",0.24303621169916434,"05h 49m 58+118/359s"]
[253,1041,29,79,"365+253/1041",0.2430355427473583,"05h 49m 58+94/347s"]
[410,1687,47,128,"365+410/1687",0.24303497332542975,"05h 49m 58+374/1687s"]
[157,646,18,49,"365+157/646",0.24303405572755418,"05h 49m 58+46/323s"]
[375,1543,43,117,"365+375/1543",0.24303305249513935,"05h 49m 58+86/1543s"]
[218,897,25,68,"365+218/897",0.24303232998885171,"05h 49m 57+297/299s"]
[279,1148,32,87,"365+279/1148",0.24303135888501742,"05h 49m 57+261/287s"]
[340,1399,39,106,"365+340/1399",0.24303073624017155,"05h 49m 57+1197/1399s"]
[401,1650,46,125,"365+401/1650",0.24303030303030304,"05h 49m 57+9/11s"]
[462,1901,53,144,"365+462/1901",0.2430299842188322,"05h 49m 57+1503/1901s"]
[61,251,7,19,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[453,1864,52,141,"365+453/1864",0.24302575107296137,"05h 49m 57+99/233s"]
[392,1613,45,122,"365+392/1613",0.2430254184748915,"05h 49m 57+639/1613s"]
[331,1362,38,103,"365+331/1362",0.24302496328928047,"05h 49m 57+81/227s"]
[270,1111,31,84,"365+270/1111",0.24302430243024303,"05h 49m 57+333/1111s"]
[479,1971,55,149,"365+479/1971",0.24302384576357178,"05h 49m 57+19/73s"]
[209,860,24,65,"365+209/860",0.24302325581395348,"05h 49m 57+9/43s"]
[357,1469,41,111,"365+357/1469",0.2430224642614023,"05h 49m 57+207/1469s"]
[148,609,17,46,"365+148/609",0.24302134646962234,"05h 49m 57+9/203s"]
[383,1576,44,119,"365+383/1576",0.2430203045685279,"05h 49m 56+188/197s"]
[235,967,27,73,"365+235/967",0.24301964839710444,"05h 49m 56+868/967s"]
[322,1325,37,100,"365+322/1325",0.24301886792452831,"05h 49m 56+44/53s"]
[409,1683,47,127,"365+409/1683",0.24301841948900774,"05h 49m 56+148/187s"]
[87,358,10,27,"365+87/358",0.2430167597765363,"05h 49m 56+116/179s"]
[461,1897,53,143,"365+461/1897",0.2430152872957301,"05h 49m 56+988/1897s"]
[374,1539,43,116,"365+374/1539",0.24301494476933072,"05h 49m 56+28/57s"]
[287,1181,33,89,"365+287/1181",0.24301439458086369,"05h 49m 56+524/1181s"]
[200,823,23,62,"365+200/823",0.24301336573511542,"05h 49m 56+292/823s"]
[313,1288,36,97,"365+313/1288",0.24301242236024845,"05h 49m 56+44/161s"]
[426,1753,49,132,"365+426/1753",0.2430119794637764,"05h 49m 56+412/1753s"]
[113,465,13,35,"365+113/465",0.24301075268817204,"05h 49m 56+4/31s"]
[478,1967,55,148,"365+478/1967",0.24300965937976615,"05h 49m 56+68/1967s"]
[365,1502,42,113,"365+365/1502",0.24300932090545938,"05h 49m 56+4/751s"]
[252,1037,29,78,"365+252/1037",0.24300867888138863,"05h 49m 55+985/1037s"]
[391,1609,45,121,"365+391/1609",0.2430080795525171,"05h 49m 55+1445/1609s"]
[139,572,16,43,"365+139/572",0.243006993006993,"05h 49m 55+115/143s"]
[443,1823,51,137,"365+443/1823",0.24300603400987383,"05h 49m 55+1315/1823s"]
[304,1251,35,94,"365+304/1251",0.24300559552358114,"05h 49m 55+95/139s"]
[469,1930,54,145,"365+469/1930",0.24300518134715027,"05h 49m 55+125/193s"]
[165,679,19,51,"365+165/679",0.24300441826215022,"05h 49m 55+395/679s"]
[356,1465,41,110,"365+356/1465",0.24300341296928327,"05h 49m 55+145/293s"]
[191,786,22,59,"365+191/786",0.2430025445292621,"05h 49m 55+55/131s"]
[408,1679,47,126,"365+408/1679",0.24300178677784395,"05h 49m 55+595/1679s"]
[217,893,25,67,"365+217/893",0.24300111982082867,"05h 49m 55+265/893s"]
[460,1893,53,142,"365+460/1893",0.24300052826201796,"05h 49m 55+155/631s"]
[243,1000,28,75,"365+243/1000",0.243,"05h 49m 55+1/5s"]
[269,1107,31,83,"365+269/1107",0.24299909665763325,"05h 49m 55+5/41s"]
[295,1214,34,91,"365+295/1214",0.24299835255354202,"05h 49m 55+35/607s"]
[321,1321,37,99,"365+321/1321",0.24299772899318697,"05h 49m 55+5/1321s"]
[347,1428,40,107,"365+347/1428",0.24299719887955182,"05h 49m 54+114/119s"]
[373,1535,43,115,"365+373/1535",0.24299674267100976,"05h 49m 54+282/307s"]
[399,1642,46,123,"365+399/1642",0.24299634591961022,"05h 49m 54+726/821s"]
[425,1749,49,131,"365+425/1749",0.24299599771297883,"05h 49m 54+498/583s"]
[451,1856,52,139,"365+451/1856",0.2429956896551724,"05h 49m 54+24/29s"]
[477,1963,55,147,"365+477/1963",0.24299541518084564,"05h 49m 54+1578/1963s"]
[26,107,3,8,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[485,1996,56,149,"365+485/1996",0.24298597194388777,"05h 49m 53+493/499s"]
[459,1889,53,141,"365+459/1889",0.24298570672313394,"05h 49m 53+1823/1889s"]
[433,1782,50,133,"365+433/1782",0.24298540965207632,"05h 49m 53+31/33s"]
[407,1675,47,125,"365+407/1675",0.24298507462686567,"05h 49m 53+61/67s"]
[381,1568,44,117,"365+381/1568",0.24298469387755103,"05h 49m 53+43/49s"]
[355,1461,41,109,"365+355/1461",0.242984257357974,"05h 49m 53+409/487s"]
[329,1354,38,101,"365+329/1354",0.2429837518463811,"05h 49m 53+539/677s"]
[303,1247,35,93,"365+303/1247",0.2429831595829992,"05h 49m 53+929/1247s"]
[277,1140,32,85,"365+277/1140",0.24298245614035088,"05h 49m 53+13/19s"]
[251,1033,29,77,"365+251/1033",0.24298160696999033,"05h 49m 53+631/1033s"]
[476,1959,55,146,"365+476/1959",0.24298111281265952,"05h 49m 53+371/653s"]
[225,926,26,69,"365+225/926",0.24298056155507558,"05h 49m 53+241/463s"]
[424,1745,49,130,"365+424/1745",0.24297994269340975,"05h 49m 53+163/349s"]
[199,819,23,61,"365+199/819",0.24297924297924298,"05h 49m 53+37/91s"]
[372,1531,43,114,"365+372/1531",0.24297844546048333,"05h 49m 53+517/1531s"]
[173,712,20,53,"365+173/712",0.24297752808988765,"05h 49m 53+23/89s"]
[320,1317,37,98,"365+320/1317",0.24297646165527714,"05h 49m 53+73/439s"]
[467,1922,54,143,"365+467/1922",0.24297606659729448,"05h 49m 53+127/961s"]
[147,605,17,45,"365+147/605",0.24297520661157024,"05h 49m 53+7/121s"]
[415,1708,48,127,"365+415/1708",0.2429742388758782,"05h 49m 52+416/427s"]
[268,1103,31,82,"365+268/1103",0.242973708068903,"05h 49m 52+1024/1103s"]
[389,1601,45,119,"365+389/1601",0.24297314178638352,"05h 49m 52+1408/1601s"]
[121,498,14,37,"365+121/498",0.2429718875502008,"05h 49m 52+64/83s"]
[458,1885,53,140,"365+458/1885",0.24297082228116712,"05h 49m 52+256/377s"]
[337,1387,39,103,"365+337/1387",0.24297043979812544,"05h 49m 52+896/1387s"]
[216,889,25,66,"365+216/889",0.24296962879640044,"05h 49m 52+512/889s"]
[311,1280,36,95,"365+311/1280",0.24296875,"05h 49m 52+1/2s"]
[406,1671,47,124,"365+406/1671",0.24296828246558946,"05h 49m 52+256/557s"]
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[287,1191,43,29,"365+287/1191",0.2409739714525609,"05h 47m 60/397s"]
[307,1274,46,31,"365+307/1274",0.24097331240188383,"05h 47m 60/637s"]
[327,1357,49,33,"365+327/1357",0.24097273397199706,"05h 47m 60/1357s"]
[347,1440,52,35,"365+347/1440",0.24097222222222223,"05h 47m 0s"]
[6,25,1,0,"365+6/25",0.24,"05h 45m 36s"]

{"sheet":"LD whole secs","index":3,"n_rows":191,"n_cols":7,"rows_kept":191,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Common) Year has 365 and a Long (Leap) Year 366 days (mean year to exact 1 / 86400th of a day)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 20 long in 83 years and 9 long in 37 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  If the number of days per cycle MOD 7 = 0 then each cycle starts on the same weekday."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","83","37","Mean Year","Decimal","Exact Time"]
[9,37,0,7,"365+9/37",0.24324324324324326,"05h 50m 16+8/37s"]
[35,144,1,25,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[20999,86400,637,14917,"365+20999/86400",0.24304398148148149,"05h 49m 59s"]
[10499,43200,337,7417,"365+10499/43200",0.24303240740740742,"05h 49m 58s"]
[2333,9600,79,1639,"365+2333/9600",0.24302083333333332,"05h 49m 57s"]
[5249,21600,187,3667,"365+5249/21600",0.24300925925925926,"05h 49m 56s"]
[4199,17280,157,2917,"365+4199/17280",0.2429976851851852,"05h 49m 55s"]
[3499,14400,137,2417,"365+3499/14400",0.24298611111111112,"05h 49m 54s"]
[20993,86400,859,14419,"365+20993/86400",0.24297453703703703,"05h 49m 53s"]
[164,675,7,112,"365+164/675",0.24296296296296296,"05h 49m 52s"]
[6997,28800,311,4751,"365+6997/28800",0.2429513888888889,"05h 49m 51s"]
[2099,8640,97,1417,"365+2099/8640",0.2429398148148148,"05h 49m 50s"]
[20989,86400,1007,14087,"365+20989/86400",0.24292824074074074,"05h 49m 49s"]
[583,2400,29,389,"365+583/2400",0.24291666666666667,"05h 49m 48s"]
[20987,86400,1081,13921,"365+20987/86400",0.2429050925925926,"05h 49m 47s"]
[10493,43200,559,6919,"365+10493/43200",0.2428935185185185,"05h 49m 46s"]
[1399,5760,77,917,"365+1399/5760",0.24288194444444444,"05h 49m 45s"]
[2623,10800,149,1709,"365+2623/10800",0.24287037037037038,"05h 49m 44s"]
[20983,86400,1229,13589,"365+20983/86400",0.2428587962962963,"05h 49m 43s"]
[3497,14400,211,2251,"365+3497/14400",0.24284722222222221,"05h 49m 42s"]
[20981,86400,1303,13423,"365+20981/86400",0.24283564814814815,"05h 49m 41s"]
[1049,4320,67,667,"365+1049/4320",0.24282407407407408,"05h 49m 40s"]
[777,3200,51,491,"365+777/3200",0.2428125,"05h 49m 39s"]
[10489,43200,707,6587,"365+10489/43200",0.24280092592592592,"05h 49m 38s"]
[20977,86400,1451,13091,"365+20977/86400",0.24278935185185185,"05h 49m 37s"]
[437,1800,31,271,"365+437/1800",0.2427777777777778,"05h 49m 36s"]
[839,3456,61,517,"365+839/3456",0.2427662037037037,"05h 49m 35s"]
[10487,43200,781,6421,"365+10487/43200",0.24275462962962963,"05h 49m 34s"]
[6991,28800,533,4253,"365+6991/28800",0.24274305555555556,"05h 49m 33s"]
[5243,21600,409,3169,"365+5243/21600",0.2427314814814815,"05h 49m 32s"]
[20971,86400,1673,12593,"365+20971/86400",0.2427199074074074,"05h 49m 31s"]
[233,960,19,139,"365+233/960",0.24270833333333333,"05h 49m 30s"]
[20969,86400,1747,12427,"365+20969/86400",0.24269675925925926,"05h 49m 29s"]
[2621,10800,223,1543,"365+2621/10800",0.2426851851851852,"05h 49m 28s"]
[6989,28800,607,4087,"365+6989/28800",0.2426736111111111,"05h 49m 27s"]
[10483,43200,929,6089,"365+10483/43200",0.24266203703703704,"05h 49m 26s"]
[4193,17280,379,2419,"365+4193/17280",0.24265046296296297,"05h 49m 25s"]
[1747,7200,161,1001,"365+1747/7200",0.24263888888888888,"05h 49m 24s"]
[20963,86400,1969,11929,"365+20963/86400",0.2426273148148148,"05h 49m 23s"]
[10481,43200,1003,5923,"365+10481/43200",0.24261574074074074,"05h 49m 22s"]
[2329,9600,227,1307,"365+2329/9600",0.24260416666666668,"05h 49m 21s"]
[131,540,13,73,"365+131/540",0.24259259259259258,"05h 49m 20s"]
[20959,86400,2117,11597,"365+20959/86400",0.24258101851851852,"05h 49m 19s"]
[3493,14400,359,1919,"365+3493/14400",0.24256944444444445,"05h 49m 18s"]
[20957,86400,2191,11431,"365+20957/86400",0.24255787037037038,"05h 49m 17s"]
[5239,21600,557,2837,"365+5239/21600",0.2425462962962963,"05h 49m 16s"]
[1397,5760,151,751,"365+1397/5760",0.24253472222222222,"05h 49m 15s"]
[10477,43200,1151,5591,"365+10477/43200",0.24252314814814815,"05h 49m 14s"]
[20953,86400,2339,11099,"365+20953/86400",0.2425115740740741,"05h 49m 13s"]
[97,400,11,51,"365+97/400",0.2425,"05h 49m 12s"]
[20951,86400,2413,10933,"365+20951/86400",0.24248842592592593,"05h 49m 11s"]
[419,1728,49,217,"365+419/1728",0.24247685185185186,"05h 49m 10s"]
[6983,28800,829,3589,"365+6983/28800",0.24246527777777777,"05h 49m 9s"]
[5237,21600,631,2671,"365+5237/21600",0.2424537037037037,"05h 49m 8s"]
[20947,86400,2561,10601,"365+20947/86400",0.24244212962962963,"05h 49m 7s"]
[3491,14400,433,1753,"365+3491/14400",0.24243055555555557,"05h 49m 6s"]
[4189,17280,527,2087,"365+4189/17280",0.24241898148148147,"05h 49m 5s"]
[1309,5400,167,647,"365+1309/5400",0.2424074074074074,"05h 49m 4s"]
[2327,9600,301,1141,"365+2327/9600",0.24239583333333334,"05h 49m 3s"]
[10471,43200,1373,5093,"365+10471/43200",0.24238425925925927,"05h 49m 2s"]
[20941,86400,2783,10103,"365+20941/86400",0.24237268518518518,"05h 49m 1s"]
[349,1440,47,167,"365+349/1440",0.2423611111111111,"05h 49m 0s"]
[20939,86400,2857,9937,"365+20939/86400",0.24234953703703704,"05h 48m 59s"]
[10469,43200,1447,4927,"365+10469/43200",0.24233796296296295,"05h 48m 58s"]
[6979,28800,977,3257,"365+6979/28800",0.24232638888888888,"05h 48m 57s"]
[2617,10800,371,1211,"365+2617/10800",0.24231481481481482,"05h 48m 56s"]
[4187,17280,601,1921,"365+4187/17280",0.24230324074074075,"05h 48m 55s"]
[1163,4800,169,529,"365+1163/4800",0.24229166666666666,"05h 48m 54s"]
[20933,86400,3079,9439,"365+20933/86400",0.2422800925925926,"05h 48m 53s"]
[5233,21600,779,2339,"365+5233/21600",0.24226851851851852,"05h 48m 52s"]
[6977,28800,1051,3091,"365+6977/28800",0.24225694444444446,"05h 48m 51s"]
[2093,8640,319,919,"365+2093/8640",0.24224537037037036,"05h 48m 50s"]
[20929,86400,3227,9107,"365+20929/86400",0.2422337962962963,"05h 48m 49s"]
[109,450,17,47,"365+109/450",0.24222222222222223,"05h 48m 48s"]
[20927,86400,3301,8941,"365+20927/86400",0.24221064814814816,"05h 48m 47s"]
[10463,43200,1669,4429,"365+10463/43200",0.24219907407407407,"05h 48m 46s"]
[31,128,5,13,"365+31/128",0.2421875,"05h 48m 45s"]
[5231,21600,853,2173,"365+5231/21600",0.24217592592592593,"05h 48m 44s"]
[20923,86400,3449,8609,"365+20923/86400",0.24216435185185184,"05h 48m 43s"]
[3487,14400,581,1421,"365+3487/14400",0.24215277777777777,"05h 48m 42s"]
[20921,86400,3523,8443,"365+20921/86400",0.2421412037037037,"05h 48m 41s"]
[523,2160,89,209,"365+523/2160",0.24212962962962964,"05h 48m 40s"]
[6973,28800,1199,2759,"365+6973/28800",0.24211805555555554,"05h 48m 39s"]
[10459,43200,1817,4097,"365+10459/43200",0.24210648148148148,"05h 48m 38s"]
[20917,86400,3671,8111,"365+20917/86400",0.2420949074074074,"05h 48m 37s"]
[581,2400,103,223,"365+581/2400",0.24208333333333334,"05h 48m 36s"]
[4183,17280,749,1589,"365+4183/17280",0.24207175925925925,"05h 48m 35s"]
[10457,43200,1891,3931,"365+10457/43200",0.24206018518518518,"05h 48m 34s"]
[6971,28800,1273,2593,"365+6971/28800",0.24204861111111112,"05h 48m 33s"]
[1307,5400,241,481,"365+1307/5400",0.24203703703703705,"05h 48m 32s"]
[20911,86400,3893,7613,"365+20911/86400",0.24202546296296296,"05h 48m 31s"]
[697,2880,131,251,"365+697/2880",0.2420138888888889,"05h 48m 30s"]
[20909,86400,3967,7447,"365+20909/86400",0.24200231481481482,"05h 48m 29s"]
[5227,21600,1001,1841,"365+5227/21600",0.24199074074074073,"05h 48m 28s"]
[2323,9600,449,809,"365+2323/9600",0.24197916666666666,"05h 48m 27s"]
[10453,43200,2039,3599,"365+10453/43200",0.2419675925925926,"05h 48m 26s"]
[4181,17280,823,1423,"365+4181/17280",0.24195601851851853,"05h 48m 25s"]
[871,3600,173,293,"365+871/3600",0.24194444444444443,"05h 48m 24s"]
[20903,86400,4189,6949,"365+20903/86400",0.24193287037037037,"05h 48m 23s"]
[10451,43200,2113,3433,"365+10451/43200",0.2419212962962963,"05h 48m 22s"]
[6967,28800,1421,2261,"365+6967/28800",0.24190972222222223,"05h 48m 21s"]
[209,864,43,67,"365+209/864",0.24189814814814814,"05h 48m 20s"]
[20899,86400,4337,6617,"365+20899/86400",0.24188657407407407,"05h 48m 19s"]
[387,1600,81,121,"365+387/1600",0.241875,"05h 48m 18s"]
[20897,86400,4411,6451,"365+20897/86400",0.2418634259259259,"05h 48m 17s"]
[653,2700,139,199,"365+653/2700",0.24185185185185185,"05h 48m 16s"]
[1393,5760,299,419,"365+1393/5760",0.24184027777777778,"05h 48m 15s"]
[10447,43200,2261,3101,"365+10447/43200",0.2418287037037037,"05h 48m 14s"]
[20893,86400,4559,6119,"365+20893/86400",0.24181712962962962,"05h 48m 13s"]
[1741,7200,383,503,"365+1741/7200",0.24180555555555555,"05h 48m 12s"]
[20891,86400,4633,5953,"365+20891/86400",0.24179398148148148,"05h 48m 11s"]
[2089,8640,467,587,"365+2089/8640",0.24178240740740742,"05h 48m 10s"]
[2321,9600,523,643,"365+2321/9600",0.24177083333333332,"05h 48m 9s"]
[2611,10800,593,713,"365+2611/10800",0.24175925925925926,"05h 48m 8s"]
[20887,86400,4781,5621,"365+20887/86400",0.2417476851851852,"05h 48m 7s"]
[3481,14400,803,923,"365+3481/14400",0.24173611111111112,"05h 48m 6s"]
[4177,17280,971,1091,"365+4177/17280",0.24172453703703703,"05h 48m 5s"]
[5221,21600,1223,1343,"365+5221/21600",0.24171296296296296,"05h 48m 4s"]
[6961,28800,1643,1763,"365+6961/28800",0.2417013888888889,"05h 48m 3s"]
[10441,43200,2483,2603,"365+10441/43200",0.2416898148148148,"05h 48m 2s"]
[20881,86400,5003,5123,"365+20881/86400",0.24167824074074074,"05h 48m 1s"]
[29,120,7,7,"365+29/120",0.24166666666666667,"05h 48m 0s"]
[20879,86400,5077,4957,"365+20879/86400",0.2416550925925926,"05h 47m 59s"]
[10439,43200,2557,2437,"365+10439/43200",0.2416435185185185,"05h 47m 58s"]
[6959,28800,1717,1597,"365+6959/28800",0.24163194444444444,"05h 47m 57s"]
[5219,21600,1297,1177,"365+5219/21600",0.24162037037037037,"05h 47m 56s"]
[835,3456,209,185,"365+835/3456",0.2416087962962963,"05h 47m 55s"]
[3479,14400,877,757,"365+3479/14400",0.2415972222222222,"05h 47m 54s"]
[20873,86400,5299,4459,"365+20873/86400",0.24158564814814815,"05h 47m 53s"]
[2609,10800,667,547,"365+2609/10800",0.24157407407407408,"05h 47m 52s"]
[773,3200,199,159,"365+773/3200",0.2415625,"05h 47m 51s"]
[2087,8640,541,421,"365+2087/8640",0.24155092592592592,"05h 47m 50s"]
[20869,86400,5447,4127,"365+20869/86400",0.24153935185185185,"05h 47m 49s"]
[1739,7200,457,337,"365+1739/7200",0.24152777777777779,"05h 47m 48s"]
[20867,86400,5521,3961,"365+20867/86400",0.2415162037037037,"05h 47m 47s"]
[10433,43200,2779,1939,"365+10433/43200",0.24150462962962962,"05h 47m 46s"]
[1391,5760,373,253,"365+1391/5760",0.24149305555555556,"05h 47m 45s"]
[163,675,44,29,"365+163/675",0.2414814814814815,"05h 47m 44s"]
[20863,86400,5669,3629,"365+20863/86400",0.2414699074074074,"05h 47m 43s"]
[1159,4800,317,197,"365+1159/4800",0.24145833333333333,"05h 47m 42s"]
[20861,86400,5743,3463,"365+20861/86400",0.24144675925925926,"05h 47m 41s"]
[1043,4320,289,169,"365+1043/4320",0.2414351851851852,"05h 47m 40s"]
[6953,28800,1939,1099,"365+6953/28800",0.2414236111111111,"05h 47m 39s"]
[10429,43200,2927,1607,"365+10429/43200",0.24141203703703704,"05h 47m 38s"]
[20857,86400,5891,3131,"365+20857/86400",0.24140046296296297,"05h 47m 37s"]
[869,3600,247,127,"365+869/3600",0.24138888888888888,"05h 47m 36s"]
[4171,17280,1193,593,"365+4171/17280",0.2413773148148148,"05h 47m 35s"]
[10427,43200,3001,1441,"365+10427/43200",0.24136574074074074,"05h 47m 34s"]
[2317,9600,671,311,"365+2317/9600",0.24135416666666668,"05h 47m 33s"]
[5213,21600,1519,679,"365+5213/21600",0.24134259259259258,"05h 47m 32s"]
[20851,86400,6113,2633,"365+20851/86400",0.24133101851851851,"05h 47m 31s"]
[139,576,41,17,"365+139/576",0.24131944444444445,"05h 47m 30s"]
[20849,86400,6187,2467,"365+20849/86400",0.24130787037037038,"05h 47m 29s"]
[1303,5400,389,149,"365+1303/5400",0.2412962962962963,"05h 47m 28s"]
[6949,28800,2087,767,"365+6949/28800",0.24128472222222222,"05h 47m 27s"]
[10423,43200,3149,1109,"365+10423/43200",0.24127314814814815,"05h 47m 26s"]
[4169,17280,1267,427,"365+4169/17280",0.2412615740740741,"05h 47m 25s"]
[193,800,59,19,"365+193/800",0.24125,"05h 47m 24s"]
[20843,86400,6409,1969,"365+20843/86400",0.24123842592592593,"05h 47m 23s"]
[10421,43200,3223,943,"365+10421/43200",0.24122685185185186,"05h 47m 22s"]
[6947,28800,2161,601,"365+6947/28800",0.24121527777777776,"05h 47m 21s"]
[521,2160,163,43,"365+521/2160",0.2412037037037037,"05h 47m 20s"]
[20839,86400,6557,1637,"365+20839/86400",0.24119212962962963,"05h 47m 19s"]
[3473,14400,1099,259,"365+3473/14400",0.24118055555555556,"05h 47m 18s"]
[20837,86400,6631,1471,"365+20837/86400",0.24116898148148147,"05h 47m 17s"]
[5209,21600,1667,347,"365+5209/21600",0.2411574074074074,"05h 47m 16s"]
[463,1920,149,29,"365+463/1920",0.24114583333333334,"05h 47m 15s"]
[10417,43200,3371,611,"365+10417/43200",0.24113425925925927,"05h 47m 14s"]
[20833,86400,6779,1139,"365+20833/86400",0.24112268518518518,"05h 47m 13s"]
[217,900,71,11,"365+217/900",0.2411111111111111,"05h 47m 12s"]
[20831,86400,6853,973,"365+20831/86400",0.24109953703703704,"05h 47m 11s"]
[2083,8640,689,89,"365+2083/8640",0.24108796296296298,"05h 47m 10s"]
[6943,28800,2309,269,"365+6943/28800",0.24107638888888888,"05h 47m 9s"]
[5207,21600,1741,181,"365+5207/21600",0.24106481481481482,"05h 47m 8s"]
[20827,86400,7001,641,"365+20827/86400",0.24105324074074075,"05h 47m 7s"]
[1157,4800,391,31,"365+1157/4800",0.24104166666666665,"05h 47m 6s"]
[833,3456,283,19,"365+833/3456",0.2410300925925926,"05h 47m 5s"]
[2603,10800,889,49,"365+2603/10800",0.24101851851851852,"05h 47m 4s"]
[6941,28800,2383,103,"365+6941/28800",0.24100694444444445,"05h 47m 3s"]
[10411,43200,3593,113,"365+10411/43200",0.24099537037037036,"05h 47m 2s"]
[20821,86400,7223,143,"365+20821/86400",0.2409837962962963,"05h 47m 1s"]
[347,1440,121,1,"365+347/1440",0.24097222222222223,"05h 47m 0s"]
[20,83,7,0,"365+20/83",0.24096385542168675,"05h 46m 59+23/83s"]

{"sheet":"LW5","index":4,"n_rows":139,"n_cols":7,"rows_kept":139,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Common) Year has 365 and a Long (Leap) Year 370 days (maximum of 1000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 1 long in 21 years and 2 long in 41 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  These are leap week cycles, so the number of days per cycle MOD 5 is always zero."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","21","41","Mean Year","Decimal","Exact Time"]
[2,41,0,1,"365+10/41",0.24390243902439024,"05h 51m 13+7/41s"]
[7,144,1,3,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[47,967,7,20,"365+235/967",0.24301964839710444,"05h 49m 56+868/967s"]
[40,823,6,17,"365+200/823",0.24301336573511542,"05h 49m 56+292/823s"]
[33,679,5,14,"365+165/679",0.24300441826215022,"05h 49m 55+395/679s"]
[26,535,4,11,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[45,926,7,19,"365+225/926",0.24298056155507558,"05h 49m 53+241/463s"]
[19,391,3,8,"365+95/391",0.24296675191815856,"05h 49m 52+128/391s"]
[31,638,5,13,"365+155/638",0.24294670846394983,"05h 49m 50+190/319s"]
[43,885,7,18,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[12,247,2,5,"365+60/247",0.242914979757085,"05h 49m 47+211/247s"]
[41,844,7,17,"365+205/844",0.24289099526066352,"05h 49m 45+165/211s"]
[29,597,5,12,"365+145/597",0.24288107202680068,"05h 49m 44+184/199s"]
[46,947,8,19,"365+230/947",0.24287222808870115,"05h 49m 44+152/947s"]
[17,350,3,7,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[39,803,7,16,"365+195/803",0.24283935242839352,"05h 49m 41+257/803s"]
[22,453,4,9,"365+110/453",0.24282560706401765,"05h 49m 40+20/151s"]
[27,556,5,11,"365+135/556",0.24280575539568344,"05h 49m 38+58/139s"]
[32,659,6,13,"365+160/659",0.24279210925644917,"05h 49m 37+157/659s"]
[37,762,7,15,"365+185/762",0.24278215223097113,"05h 49m 36+48/127s"]
[42,865,8,17,"365+42/173",0.24277456647398843,"05h 49m 35+125/173s"]
[47,968,9,19,"365+235/968",0.2427685950413223,"05h 49m 35+25/121s"]
[5,103,1,2,"365+25/103",0.24271844660194175,"05h 49m 30+90/103s"]
[48,989,10,19,"365+240/989",0.24266936299292213,"05h 49m 26+626/989s"]
[43,886,9,17,"365+215/886",0.24266365688487584,"05h 49m 26+62/443s"]
[38,783,8,15,"365+190/783",0.24265644955300128,"05h 49m 25+15/29s"]
[33,680,7,13,"365+33/136",0.2426470588235294,"05h 49m 24+12/17s"]
[28,577,6,11,"365+140/577",0.24263431542461006,"05h 49m 23+349/577s"]
[23,474,5,9,"365+115/474",0.24261603375527427,"05h 49m 22+2/79s"]
[41,845,9,16,"365+41/169",0.24260355029585798,"05h 49m 20+160/169s"]
[18,371,4,7,"365+90/371",0.24258760107816713,"05h 49m 19+211/371s"]
[31,639,7,12,"365+155/639",0.24256651017214398,"05h 49m 17+53/71s"]
[44,907,10,17,"365+220/907",0.24255788313120177,"05h 49m 17+1/907s"]
[13,268,3,5,"365+65/268",0.24253731343283583,"05h 49m 15+15/67s"]
[47,969,11,18,"365+235/969",0.24251805985552116,"05h 49m 13+181/323s"]
[34,701,8,13,"365+170/701",0.24251069900142652,"05h 49m 12+648/701s"]
[21,433,5,8,"365+105/433",0.24249422632794457,"05h 49m 11+217/433s"]
[29,598,7,11,"365+145/598",0.24247491638795987,"05h 49m 9+249/299s"]
[37,763,9,14,"365+185/763",0.24246395806028834,"05h 49m 8+676/763s"]
[45,928,11,17,"365+225/928",0.24245689655172414,"05h 49m 8+8/29s"]
[8,165,2,3,"365+8/33",0.24242424242424243,"05h 49m 5+5/11s"]
[43,887,11,16,"365+215/887",0.24239007891770012,"05h 49m 2+446/887s"]
[35,722,9,13,"365+175/722",0.24238227146814403,"05h 49m 1+299/361s"]
[27,557,7,10,"365+135/557",0.24236983842010773,"05h 49m 420/557s"]
[46,949,12,17,"365+230/949",0.24236037934668073,"05h 48m 59+889/949s"]
[19,392,5,7,"365+95/392",0.2423469387755102,"05h 48m 58+38/49s"]
[30,619,8,11,"365+150/619",0.24232633279483037,"05h 48m 56+616/619s"]
[41,846,11,15,"365+205/846",0.24231678486997635,"05h 48m 56+8/47s"]
[11,227,3,4,"365+55/227",0.2422907488986784,"05h 48m 53+209/227s"]
[47,970,13,17,"365+47/194",0.2422680412371134,"05h 48m 51+93/97s"]
[36,743,10,13,"365+180/743",0.24226110363391656,"05h 48m 51+267/743s"]
[25,516,7,9,"365+125/516",0.24224806201550386,"05h 48m 50+10/43s"]
[39,805,11,14,"365+39/161",0.2422360248447205,"05h 48m 49+31/161s"]
[14,289,4,5,"365+70/289",0.2422145328719723,"05h 48m 47+97/289s"]
[45,929,13,16,"365+225/929",0.24219590958019377,"05h 48m 45+675/929s"]
[31,640,9,11,"365+31/128",0.2421875,"05h 48m 45s"]
[48,991,14,17,"365+240/991",0.24217961654894046,"05h 48m 44+316/991s"]
[17,351,5,6,"365+85/351",0.24216524216524216,"05h 48m 43+1/13s"]
[37,764,11,13,"365+185/764",0.24214659685863874,"05h 48m 41+89/191s"]
[20,413,6,7,"365+100/413",0.24213075060532688,"05h 48m 40+40/413s"]
[43,888,13,15,"365+215/888",0.24211711711711711,"05h 48m 38+34/37s"]
[23,475,7,8,"365+23/95",0.24210526315789474,"05h 48m 37+17/19s"]
[26,537,8,9,"365+130/537",0.24208566108007448,"05h 48m 36+36/179s"]
[29,599,9,10,"365+145/599",0.24207011686143573,"05h 48m 34+514/599s"]
[32,661,10,11,"365+160/661",0.24205748865355523,"05h 48m 33+507/661s"]
[35,723,11,12,"365+175/723",0.24204702627939143,"05h 48m 32+208/241s"]
[38,785,12,13,"365+38/157",0.24203821656050956,"05h 48m 32+16/157s"]
[41,847,13,14,"365+205/847",0.24203069657615112,"05h 48m 31+383/847s"]
[44,909,14,15,"365+220/909",0.24202420242024203,"05h 48m 30+90/101s"]
[47,971,15,16,"365+235/971",0.2420185375901133,"05h 48m 30+390/971s"]
[3,62,1,1,"365+15/62",0.24193548387096775,"05h 48m 23+7/31s"]
[46,951,16,15,"365+230/951",0.24185068349106204,"05h 48m 15+285/317s"]
[43,889,15,14,"365+215/889",0.24184476940382452,"05h 48m 15+345/889s"]
[40,827,14,13,"365+200/827",0.2418379685610641,"05h 48m 14+662/827s"]
[37,765,13,12,"365+37/153",0.24183006535947713,"05h 48m 14+2/17s"]
[34,703,12,11,"365+170/703",0.24182076813655762,"05h 48m 13+221/703s"]
[31,641,11,10,"365+155/641",0.24180967238689546,"05h 48m 12+228/641s"]
[28,579,10,9,"365+140/579",0.24179620034542315,"05h 48m 11+37/193s"]
[25,517,9,8,"365+125/517",0.24177949709864605,"05h 48m 9+387/517s"]
[47,972,17,15,"365+235/972",0.2417695473251029,"05h 48m 8+8/9s"]
[22,455,8,7,"365+22/91",0.24175824175824176,"05h 48m 7+83/91s"]
[41,848,15,13,"365+205/848",0.2417452830188679,"05h 48m 6+42/53s"]
[19,393,7,6,"365+95/393",0.24173027989821882,"05h 48m 5+65/131s"]
[35,724,13,11,"365+175/724",0.24171270718232044,"05h 48m 3+177/181s"]
[16,331,6,5,"365+80/331",0.24169184290030213,"05h 48m 2+58/331s"]
[45,931,17,14,"365+225/931",0.24167561761546724,"05h 48m 720/931s"]
[29,600,11,9,"365+29/120",0.24166666666666667,"05h 48m 0s"]
[42,869,16,13,"365+210/869",0.24165707710011508,"05h 47m 59+149/869s"]
[13,269,5,4,"365+65/269",0.241635687732342,"05h 47m 57+87/269s"]
[36,745,14,11,"365+36/149",0.24161073825503357,"05h 47m 55+25/149s"]
[23,476,9,7,"365+115/476",0.2415966386554622,"05h 47m 53+113/119s"]
[33,683,13,10,"365+165/683",0.24158125915080528,"05h 47m 52+424/683s"]
[43,890,17,13,"365+43/178",0.24157303370786518,"05h 47m 51+81/89s"]
[10,207,4,3,"365+50/207",0.24154589371980675,"05h 47m 49+13/23s"]
[47,973,19,14,"365+235/973",0.24152106885919836,"05h 47m 47+409/973s"]
[37,766,15,11,"365+185/766",0.24151436031331594,"05h 47m 46+322/383s"]
[27,559,11,8,"365+135/559",0.24150268336314848,"05h 47m 45+465/559s"]
[44,911,18,13,"365+220/911",0.2414928649835346,"05h 47m 44+896/911s"]
[17,352,7,5,"365+85/352",0.24147727272727273,"05h 47m 43+7/11s"]
[41,849,17,12,"365+205/849",0.2414605418138987,"05h 47m 42+54/283s"]
[24,497,10,7,"365+120/497",0.2414486921529175,"05h 47m 41+83/497s"]
[31,642,13,9,"365+155/642",0.24143302180685358,"05h 47m 39+87/107s"]
[38,787,16,11,"365+190/787",0.241423125794155,"05h 47m 38+754/787s"]
[45,932,19,13,"365+225/932",0.24141630901287553,"05h 47m 38+86/233s"]
[7,145,3,2,"365+7/29",0.2413793103448276,"05h 47m 35+5/29s"]
[46,953,20,13,"365+230/953",0.24134312696747115,"05h 47m 32+44/953s"]
[39,808,17,11,"365+195/808",0.24133663366336633,"05h 47m 31+49/101s"]
[32,663,14,9,"365+160/663",0.24132730015082957,"05h 47m 30+150/221s"]
[25,518,11,7,"365+125/518",0.2413127413127413,"05h 47m 29+109/259s"]
[43,891,19,12,"365+215/891",0.24130190796857465,"05h 47m 28+16/33s"]
[18,373,8,5,"365+90/373",0.24128686327077747,"05h 47m 27+69/373s"]
[47,974,21,13,"365+235/974",0.24127310061601642,"05h 47m 25+485/487s"]
[29,601,13,8,"365+145/601",0.24126455906821964,"05h 47m 25+155/601s"]
[40,829,18,11,"365+200/829",0.24125452352231605,"05h 47m 24+324/829s"]
[11,228,5,3,"365+55/228",0.2412280701754386,"05h 47m 22+2/19s"]
[48,995,22,13,"365+48/199",0.24120603015075376,"05h 47m 20+40/199s"]
[37,767,17,10,"365+185/767",0.24119947848761408,"05h 47m 19+487/767s"]
[26,539,12,7,"365+130/539",0.24118738404452691,"05h 47m 18+318/539s"]
[41,850,19,11,"365+41/170",0.2411764705882353,"05h 47m 17+11/17s"]
[15,311,7,4,"365+75/311",0.24115755627009647,"05h 47m 16+4/311s"]
[34,705,16,9,"365+34/141",0.24113475177304963,"05h 47m 14+2/47s"]
[19,394,9,5,"365+95/394",0.24111675126903553,"05h 47m 12+96/197s"]
[42,871,20,11,"365+210/871",0.24110218140068887,"05h 47m 11+199/871s"]
[23,477,11,6,"365+115/477",0.24109014675052412,"05h 47m 10+10/53s"]
[27,560,13,7,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[31,643,15,8,"365+155/643",0.2410575427682737,"05h 47m 7+239/643s"]
[35,726,17,9,"365+175/726",0.24104683195592286,"05h 47m 6+54/121s"]
[39,809,19,10,"365+195/809",0.24103831891223734,"05h 47m 5+575/809s"]
[43,892,21,11,"365+215/892",0.24103139013452915,"05h 47m 5+25/223s"]
[47,975,23,12,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[1,21,1,0,"365+5/21",0.23809523809523808,"05h 42m 51+3/7s"]

{"sheet":"LW6","index":5,"n_rows":436,"n_cols":7,"rows_kept":436,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Leap) Year has 360 and a Long (Common) Year 366 days (maximum of 2000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 10 short in 79 years and 1 short in 8 years."]
["For symmetrical cycle, year y is short if and only if the remainder of (S x Y + K ) MOD C < S, where S=Short Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  These are leap week cycles, so the number of days per cycle MOD 6 is always zero."]
[]
["Short","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","79","8","Mean Year","Decimal","Exact Time"]
[1,8,0,1,"365+1/4",0.25,"06h 00m 0s"]
[109,864,8,29,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[177,1403,13,47,"365+341/1403",0.24305060584461868,"05h 49m 59+803/1403s"]
[245,1942,18,65,"365+236/971",0.243048403707518,"05h 49m 59+371/971s"]
[68,539,5,18,"365+131/539",0.24304267161410018,"05h 49m 58+478/539s"]
[231,1831,17,61,"365+445/1831",0.2430365920262152,"05h 49m 58+662/1831s"]
[163,1292,12,43,"365+157/646",0.24303405572755418,"05h 49m 58+46/323s"]
[95,753,7,25,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[217,1720,16,57,"365+209/860",0.24302325581395348,"05h 49m 57+9/43s"]
[122,967,9,32,"365+235/967",0.24301964839710444,"05h 49m 56+868/967s"]
[149,1181,11,39,"365+287/1181",0.24301439458086369,"05h 49m 56+524/1181s"]
[176,1395,13,46,"365+113/465",0.24301075268817204,"05h 49m 56+4/31s"]
[203,1609,15,53,"365+391/1609",0.2430080795525171,"05h 49m 55+1445/1609s"]
[230,1823,17,60,"365+443/1823",0.24300603400987383,"05h 49m 55+1315/1823s"]
[27,214,2,7,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[229,1815,17,59,"365+147/605",0.24297520661157024,"05h 49m 53+7/121s"]
[202,1601,15,52,"365+389/1601",0.24297314178638352,"05h 49m 52+1408/1601s"]
[175,1387,13,45,"365+337/1387",0.24297043979812544,"05h 49m 52+896/1387s"]
[148,1173,11,38,"365+95/391",0.24296675191815856,"05h 49m 52+128/391s"]
[121,959,9,31,"365+233/959",0.2429614181438999,"05h 49m 51+831/959s"]
[215,1704,16,55,"365+69/284",0.24295774647887325,"05h 49m 51+39/71s"]
[94,745,7,24,"365+181/745",0.24295302013422818,"05h 49m 51+21/149s"]
[161,1276,12,41,"365+155/638",0.24294670846394983,"05h 49m 50+190/319s"]
[228,1807,17,58,"365+439/1807",0.24294410625345877,"05h 49m 50+670/1807s"]
[67,531,5,17,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[241,1910,18,61,"365+232/955",0.24293193717277486,"05h 49m 49+61/191s"]
[174,1379,13,44,"365+335/1379",0.242929659173314,"05h 49m 49+169/1379s"]
[107,848,8,27,"365+103/424",0.2429245283018868,"05h 49m 48+36/53s"]
[147,1165,11,37,"365+283/1165",0.2429184549356223,"05h 49m 48+36/233s"]
[187,1482,14,47,"365+60/247",0.242914979757085,"05h 49m 47+211/247s"]
[227,1799,17,57,"365+437/1799",0.24291272929405225,"05h 49m 47+1187/1799s"]
[40,317,3,10,"365+77/317",0.24290220820189273,"05h 49m 46+238/317s"]
[213,1688,16,53,"365+205/844",0.24289099526066352,"05h 49m 45+165/211s"]
[173,1371,13,43,"365+111/457",0.24288840262582057,"05h 49m 45+255/457s"]
[133,1054,10,33,"365+128/527",0.2428842504743833,"05h 49m 45+105/527s"]
[226,1791,17,56,"365+145/597",0.24288107202680068,"05h 49m 44+184/199s"]
[93,737,7,23,"365+179/737",0.24287652645861602,"05h 49m 44+392/737s"]
[239,1894,18,59,"365+230/947",0.24287222808870115,"05h 49m 44+152/947s"]
[146,1157,11,36,"365+281/1157",0.2428694900605013,"05h 49m 43+1069/1157s"]
[199,1577,15,49,"365+383/1577",0.24286620164870007,"05h 49m 43+1009/1577s"]
[252,1997,19,62,"365+485/1997",0.242864296444667,"05h 49m 43+949/1997s"]
[53,420,4,13,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[225,1783,17,55,"365+433/1783",0.2428491306786315,"05h 49m 42+294/1783s"]
[172,1363,13,42,"365+331/1363",0.24284666177549524,"05h 49m 41+1297/1363s"]
[119,943,9,29,"365+229/943",0.24284199363732767,"05h 49m 41+517/943s"]
[185,1466,14,45,"365+178/733",0.24283765347885403,"05h 49m 41+127/733s"]
[251,1989,19,61,"365+161/663",0.24283559577677225,"05h 49m 40+220/221s"]
[66,523,5,16,"365+127/523",0.24282982791587,"05h 49m 40+260/523s"]
[211,1672,16,51,"365+203/836",0.24282296650717702,"05h 49m 39+189/209s"]
[145,1149,11,35,"365+93/383",0.24281984334203655,"05h 49m 39+243/383s"]
[224,1775,17,54,"365+431/1775",0.2428169014084507,"05h 49m 39+27/71s"]
[79,626,6,19,"365+76/313",0.24281150159744408,"05h 49m 38+286/313s"]
[250,1981,19,60,"365+481/1981",0.24280666330136294,"05h 49m 38+982/1981s"]
[171,1355,13,41,"365+329/1355",0.24280442804428043,"05h 49m 38+82/271s"]
[92,729,7,22,"365+59/243",0.24279835390946503,"05h 49m 37+7/9s"]
[197,1561,15,47,"365+379/1561",0.2427930813581038,"05h 49m 37+503/1561s"]
[105,832,8,25,"365+101/416",0.24278846153846154,"05h 49m 36+12/13s"]
[223,1767,17,53,"365+143/589",0.2427843803056027,"05h 49m 36+336/589s"]
[118,935,9,28,"365+227/935",0.2427807486631016,"05h 49m 36+48/187s"]
[249,1973,19,59,"365+479/1973",0.24277749619868222,"05h 49m 35+1925/1973s"]
[131,1038,10,31,"365+42/173",0.24277456647398843,"05h 49m 35+125/173s"]
[144,1141,11,34,"365+277/1141",0.2427695004382121,"05h 49m 35+325/1141s"]
[157,1244,12,37,"365+151/622",0.2427652733118971,"05h 49m 34+286/311s"]
[170,1347,13,40,"365+109/449",0.24276169265033407,"05h 49m 34+274/449s"]
[183,1450,14,43,"365+176/725",0.24275862068965517,"05h 49m 34+10/29s"]
[196,1553,15,46,"365+377/1553",0.2427559562137798,"05h 49m 34+178/1553s"]
[209,1656,16,49,"365+67/276",0.2427536231884058,"05h 49m 33+21/23s"]
[222,1759,17,52,"365+427/1759",0.2427515633882888,"05h 49m 33+1293/1759s"]
[235,1862,18,55,"365+226/931",0.24274973147153597,"05h 49m 33+537/931s"]
[248,1965,19,58,"365+159/655",0.24274809160305344,"05h 49m 33+57/131s"]
[13,103,1,3,"365+25/103",0.24271844660194175,"05h 49m 30+90/103s"]
[246,1949,19,56,"365+473/1949",0.2426885582349923,"05h 49m 28+568/1949s"]
[233,1846,18,53,"365+224/923",0.24268689057421453,"05h 49m 28+136/923s"]
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[251,1986,22,31,"365+80/331",0.24169184290030213,"05h 48m 2+58/331s"]
[57,451,5,7,"365+109/451",0.24168514412416853,"05h 48m 1+269/451s"]
[205,1622,18,25,"365+196/811",0.24167694204685575,"05h 48m 720/811s"]
[148,1171,13,18,"365+283/1171",0.24167378309137488,"05h 48m 720/1171s"]
[239,1891,21,29,"365+457/1891",0.24167107350608144,"05h 48m 720/1891s"]
[91,720,8,11,"365+29/120",0.24166666666666667,"05h 48m 0s"]
[216,1709,19,26,"365+413/1709",0.24166179052077238,"05h 47m 59+989/1709s"]
[125,989,11,15,"365+239/989",0.2416582406471183,"05h 47m 59+269/989s"]
[159,1258,14,19,"365+152/629",0.24165341812400637,"05h 47m 58+538/629s"]
[193,1527,17,23,"365+123/509",0.24165029469548133,"05h 47m 58+298/509s"]
[227,1796,20,27,"365+217/898",0.24164810690423164,"05h 47m 58+178/449s"]
[34,269,3,4,"365+65/269",0.241635687732342,"05h 47m 57+87/269s"]
[249,1970,22,29,"365+238/985",0.2416243654822335,"05h 47m 56+68/197s"]
[215,1701,19,25,"365+137/567",0.24162257495590828,"05h 47m 56+4/21s"]
[181,1432,16,21,"365+173/716",0.24162011173184358,"05h 47m 55+175/179s"]
[147,1163,13,17,"365+281/1163",0.2416165090283749,"05h 47m 55+775/1163s"]
[113,894,10,13,"365+36/149",0.24161073825503357,"05h 47m 55+25/149s"]
[192,1519,17,22,"365+367/1519",0.24160631994733378,"05h 47m 54+1194/1519s"]
[79,625,7,9,"365+151/625",0.2416,"05h 47m 54+6/25s"]
[203,1606,18,23,"365+194/803",0.24159402241594022,"05h 47m 53+581/803s"]
[124,981,11,14,"365+79/327",0.2415902140672783,"05h 47m 53+43/109s"]
[169,1337,15,19,"365+323/1337",0.24158563949139866,"05h 47m 52+1336/1337s"]
[214,1693,19,24,"365+409/1693",0.24158298877731837,"05h 47m 52+1304/1693s"]
[45,356,4,5,"365+43/178",0.24157303370786518,"05h 47m 51+81/89s"]
[236,1867,21,26,"365+451/1867",0.24156400642742368,"05h 47m 51+243/1867s"]
[191,1511,17,21,"365+365/1511",0.2415618795499669,"05h 47m 50+1430/1511s"]
[146,1155,13,16,"365+93/385",0.24155844155844156,"05h 47m 50+50/77s"]
[247,1954,22,27,"365+236/977",0.24155578300921188,"05h 47m 50+410/977s"]
[101,799,9,11,"365+193/799",0.24155193992490614,"05h 47m 50+70/799s"]
[157,1242,14,17,"365+50/207",0.24154589371980675,"05h 47m 49+13/23s"]
[213,1685,19,23,"365+407/1685",0.24154302670623146,"05h 47m 49+107/337s"]
[56,443,5,6,"365+107/443",0.24153498871331827,"05h 47m 48+276/443s"]
[235,1859,21,25,"365+449/1859",0.2415277030661646,"05h 47m 47+1847/1859s"]
[179,1416,16,19,"365+57/236",0.24152542372881355,"05h 47m 47+47/59s"]
[123,973,11,13,"365+235/973",0.24152106885919836,"05h 47m 47+409/973s"]
[190,1503,17,20,"365+121/501",0.24151696606786427,"05h 47m 47+11/167s"]
[67,530,6,7,"365+64/265",0.24150943396226415,"05h 47m 46+22/53s"]
[212,1677,19,22,"365+135/559",0.24150268336314848,"05h 47m 45+465/559s"]
[145,1147,13,15,"365+277/1147",0.24149956408020923,"05h 47m 45+645/1147s"]
[223,1764,20,23,"365+71/294",0.24149659863945577,"05h 47m 45+15/49s"]
[78,617,7,8,"365+149/617",0.24149108589951376,"05h 47m 44+512/617s"]
[245,1938,22,25,"365+78/323",0.24148606811145512,"05h 47m 44+128/323s"]
[167,1321,15,17,"365+319/1321",0.24148372445117336,"05h 47m 44+256/1321s"]
[89,704,8,9,"365+85/352",0.24147727272727273,"05h 47m 43+7/11s"]
[189,1495,17,19,"365+361/1495",0.24147157190635452,"05h 47m 43+43/299s"]
[100,791,9,10,"365+191/791",0.24146649810366624,"05h 47m 42+558/791s"]
[211,1669,19,21,"365+403/1669",0.2414619532654284,"05h 47m 42+522/1669s"]
[111,878,10,11,"365+106/439",0.24145785876993167,"05h 47m 41+421/439s"]
[233,1843,21,23,"365+445/1843",0.24145415084102007,"05h 47m 41+1177/1843s"]
[122,965,11,12,"365+233/965",0.24145077720207253,"05h 47m 41+67/193s"]
[133,1052,12,13,"365+127/526",0.2414448669201521,"05h 47m 40+220/263s"]
[144,1139,13,14,"365+275/1139",0.2414398595258999,"05h 47m 40+460/1139s"]
[155,1226,14,15,"365+148/613",0.24143556280587275,"05h 47m 40+20/613s"]
[166,1313,15,16,"365+317/1313",0.24143183549124142,"05h 47m 39+933/1313s"]
[177,1400,16,17,"365+169/700",0.24142857142857144,"05h 47m 39+3/7s"]
[188,1487,17,18,"365+359/1487",0.2414256893073302,"05h 47m 39+267/1487s"]
[199,1574,18,19,"365+190/787",0.241423125794155,"05h 47m 38+754/787s"]
[210,1661,19,20,"365+401/1661",0.24142083082480434,"05h 47m 38+1262/1661s"]
[221,1748,20,21,"365+211/874",0.2414187643020595,"05h 47m 38+254/437s"]
[232,1835,21,22,"365+443/1835",0.24141689373297004,"05h 47m 38+154/367s"]
[243,1922,22,23,"365+232/961",0.24141519250780438,"05h 47m 38+262/961s"]
[11,87,1,1,"365+7/29",0.2413793103448276,"05h 47m 35+5/29s"]
[252,1993,23,22,"365+481/1993",0.2413447064726543,"05h 47m 32+364/1993s"]
[241,1906,22,21,"365+230/953",0.24134312696747115,"05h 47m 32+44/953s"]
[230,1819,21,20,"365+439/1819",0.24134139637163277,"05h 47m 31+1631/1819s"]
[219,1732,20,19,"365+209/866",0.24133949191685913,"05h 47m 31+317/433s"]
[208,1645,19,18,"365+397/1645",0.2413373860182371,"05h 47m 31+181/329s"]
[197,1558,18,17,"365+188/779",0.24133504492939667,"05h 47m 31+271/779s"]
[186,1471,17,16,"365+355/1471",0.24133242692046228,"05h 47m 31+179/1471s"]
[175,1384,16,15,"365+167/692",0.24132947976878613,"05h 47m 30+150/173s"]
[164,1297,15,14,"365+313/1297",0.2413261372397841,"05h 47m 30+750/1297s"]
[153,1210,14,13,"365+146/605",0.2413223140495868,"05h 47m 30+30/121s"]
[142,1123,13,12,"365+271/1123",0.2413178984861977,"05h 47m 29+973/1123s"]
[131,1036,12,11,"365+125/518",0.2413127413127413,"05h 47m 29+109/259s"]
[251,1985,23,21,"365+479/1985",0.24130982367758186,"05h 47m 29+67/397s"]
[120,949,11,10,"365+229/949",0.24130663856691253,"05h 47m 28+848/949s"]
[229,1811,21,19,"365+437/1811",0.2413031474323578,"05h 47m 28+1072/1811s"]
[109,862,10,9,"365+104/431",0.24129930394431554,"05h 47m 28+112/431s"]
[207,1637,19,17,"365+395/1637",0.24129505192425169,"05h 47m 27+1461/1637s"]
[98,775,9,8,"365+187/775",0.24129032258064517,"05h 47m 27+15/31s"]
[185,1463,17,15,"365+353/1463",0.24128503075871496,"05h 47m 27+39/1463s"]
[87,688,8,7,"365+83/344",0.24127906976744187,"05h 47m 26+22/43s"]
[250,1977,23,20,"365+159/659",0.24127465857359637,"05h 47m 26+86/659s"]
[163,1289,15,13,"365+311/1289",0.24127230411171452,"05h 47m 25+1195/1289s"]
[239,1890,22,19,"365+76/315",0.24126984126984127,"05h 47m 25+5/7s"]
[76,601,7,6,"365+145/601",0.24126455906821964,"05h 47m 25+155/601s"]
[217,1716,20,17,"365+69/286",0.24125874125874125,"05h 47m 24+108/143s"]
[141,1115,13,11,"365+269/1115",0.24125560538116592,"05h 47m 24+108/223s"]
[206,1629,19,16,"365+131/543",0.24125230202578268,"05h 47m 24+36/181s"]
[65,514,6,5,"365+62/257",0.24124513618677043,"05h 47m 23+149/257s"]
[249,1969,23,19,"365+475/1969",0.24123920771965465,"05h 47m 23+133/1969s"]
[184,1455,17,14,"365+117/485",0.24123711340206186,"05h 47m 22+86/97s"]
[119,941,11,9,"365+227/941",0.2412327311370882,"05h 47m 22+478/941s"]
[173,1368,16,13,"365+55/228",0.2412280701754386,"05h 47m 22+2/19s"]
[227,1795,21,17,"365+433/1795",0.24122562674094708,"05h 47m 21+321/359s"]
[54,427,5,4,"365+103/427",0.24121779859484777,"05h 47m 21+93/427s"]
[205,1621,19,15,"365+391/1621",0.24120913016656384,"05h 47m 20+760/1621s"]
[151,1194,14,11,"365+48/199",0.24120603015075376,"05h 47m 20+40/199s"]
[248,1961,23,18,"365+473/1961",0.24120346761856196,"05h 47m 19+1921/1961s"]
[97,767,9,7,"365+185/767",0.24119947848761408,"05h 47m 19+487/767s"]
[237,1874,22,17,"365+226/937",0.24119530416221985,"05h 47m 19+257/937s"]
[140,1107,13,10,"365+89/369",0.24119241192411925,"05h 47m 19+1/41s"]
[183,1447,17,13,"365+349/1447",0.24118866620594334,"05h 47m 18+1014/1447s"]
[226,1787,21,16,"365+431/1787",0.24118634583100168,"05h 47m 18+894/1787s"]
[43,340,4,3,"365+41/170",0.2411764705882353,"05h 47m 17+11/17s"]
[247,1953,23,17,"365+157/651",0.2411674347158218,"05h 47m 16+188/217s"]
[204,1613,19,14,"365+389/1613",0.2411655300681959,"05h 47m 16+1132/1613s"]
[161,1273,15,11,"365+307/1273",0.24116260801256872,"05h 47m 16+572/1273s"]
[118,933,11,8,"365+75/311",0.24115755627009647,"05h 47m 16+4/311s"]
[193,1526,18,13,"365+184/763",0.24115334207077327,"05h 47m 15+495/763s"]
[75,593,7,5,"365+143/593",0.2411467116357504,"05h 47m 15+45/593s"]
[182,1439,17,12,"365+347/1439",0.24113968033356498,"05h 47m 14+674/1439s"]
[107,846,10,7,"365+34/141",0.24113475177304963,"05h 47m 14+2/47s"]
[246,1945,23,16,"365+469/1945",0.24113110539845758,"05h 47m 13+283/389s"]
[139,1099,13,9,"365+265/1099",0.2411282984531392,"05h 47m 13+533/1099s"]
[171,1352,16,11,"365+163/676",0.2411242603550296,"05h 47m 13+23/169s"]
[203,1605,19,13,"365+129/535",0.2411214953271028,"05h 47m 12+96/107s"]
[235,1858,22,15,"365+224/929",0.2411194833153929,"05h 47m 12+672/929s"]
[32,253,3,2,"365+61/253",0.24110671936758893,"05h 47m 11+157/253s"]
[245,1937,23,15,"365+467/1937",0.24109447599380485,"05h 47m 10+1090/1937s"]
[213,1684,20,13,"365+203/842",0.24109263657957244,"05h 47m 10+170/421s"]
[181,1431,17,11,"365+115/477",0.24109014675052412,"05h 47m 10+10/53s"]
[149,1178,14,9,"365+142/589",0.24108658743633277,"05h 47m 9+519/589s"]
[117,925,11,7,"365+223/925",0.2410810810810811,"05h 47m 9+15/37s"]
[202,1597,19,12,"365+385/1597",0.24107701941139636,"05h 47m 9+87/1597s"]
[85,672,8,5,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[223,1763,21,13,"365+425/1763",0.2410663641520136,"05h 47m 8+236/1763s"]
[138,1091,13,8,"365+263/1091",0.24106324472960586,"05h 47m 7+943/1091s"]
[191,1510,18,11,"365+182/755",0.2410596026490066,"05h 47m 7+83/151s"]
[244,1929,23,14,"365+155/643",0.2410575427682737,"05h 47m 7+239/643s"]
[53,419,5,3,"365+101/419",0.24105011933174225,"05h 47m 6+306/419s"]
[233,1842,22,13,"365+74/307",0.24104234527687296,"05h 47m 6+18/307s"]
[180,1423,17,10,"365+343/1423",0.2410400562192551,"05h 47m 5+1225/1423s"]
[127,1004,12,7,"365+121/502",0.2410358565737052,"05h 47m 5+125/251s"]
[201,1589,19,11,"365+383/1589",0.24103209565764633,"05h 47m 5+275/1589s"]
[74,585,7,4,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[243,1921,23,13,"365+463/1921",0.24102030192608018,"05h 47m 4+296/1921s"]
[169,1336,16,9,"365+161/668",0.2410179640718563,"05h 47m 3+159/167s"]
[95,751,9,5,"365+181/751",0.24101198402130491,"05h 47m 3+327/751s"]
[211,1668,20,11,"365+67/278",0.24100719424460432,"05h 47m 3+3/139s"]
[116,917,11,6,"365+221/917",0.2410032715376227,"05h 47m 2+626/917s"]
[253,2000,24,13,"365+241/1000",0.241,"05h 47m 2+2/5s"]
[137,1083,13,7,"365+87/361",0.2409972299168975,"05h 47m 2+58/361s"]
[158,1249,15,8,"365+301/1249",0.2409927942353883,"05h 47m 1+971/1249s"]
[179,1415,17,9,"365+341/1415",0.24098939929328622,"05h 47m 1+137/283s"]
[200,1581,19,10,"365+127/527",0.2409867172675522,"05h 47m 1+133/527s"]
[221,1747,21,11,"365+421/1747",0.24098454493417287,"05h 47m 1+113/1747s"]
[242,1913,23,12,"365+461/1913",0.24098274960794563,"05h 47m 1740/1913s"]
[10,79,1,0,"365+19/79",0.24050632911392406,"05h 46m 19+59/79s"]

{"sheet":"LW7","index":6,"n_rows":1457,"n_cols":7,"rows_kept":1457,"merged":[[6,2,6,3],[6,5,6,6]]}
["Perpetual Leap Cycles where a Short (Common) Year has 364 and a Long (Leap) Year 371 days (maximum of 4000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 3 long in 17 years and 8 long in 45 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  These are leap week cycles, so the number of days per cycle MOD 7 is always zero."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","17","45","Mean Year","Decimal","Exact Time"]
[8,45,0,1,"365+11/45",0.24444444444444444,"05h 52m 0s"]
[179,1008,9,19,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[556,3131,28,59,"365+761/3131",0.2430533375918237,"05h 49m 59+2531/3131s"]
[377,2123,19,40,"365+516/2123",0.2430522845030617,"05h 49m 59+1523/2123s"]
[575,3238,29,61,"365+787/3238",0.24305126621371217,"05h 49m 59+1019/1619s"]
[198,1115,10,21,"365+271/1115",0.2430493273542601,"05h 49m 59+103/223s"]
[613,3452,31,65,"365+839/3452",0.24304750869061414,"05h 49m 59+263/863s"]
[415,2337,21,44,"365+568/2337",0.24304664099272572,"05h 49m 59+179/779s"]
[632,3559,32,67,"365+865/3559",0.24304579938184884,"05h 49m 59+559/3559s"]
[217,1222,11,23,"365+297/1222",0.2430441898527005,"05h 49m 59+11/611s"]
[670,3773,34,71,"365+131/539",0.24304267161410018,"05h 49m 58+478/539s"]
[453,2551,23,48,"365+620/2551",0.24304194433555468,"05h 49m 58+2102/2551s"]
[689,3880,35,73,"365+943/3880",0.24304123711340206,"05h 49m 58+74/97s"]
[236,1329,12,25,"365+323/1329",0.24303987960872836,"05h 49m 58+286/443s"]
[491,2765,25,52,"365+96/395",0.2430379746835443,"05h 49m 58+38/79s"]
[255,1436,13,27,"365+349/1436",0.24303621169916434,"05h 49m 58+118/359s"]
[529,2979,27,56,"365+724/2979",0.24303457536085935,"05h 49m 58+62/331s"]
[274,1543,14,29,"365+375/1543",0.24303305249513935,"05h 49m 58+86/1543s"]
[567,3193,29,60,"365+776/3193",0.24303163169433134,"05h 49m 57+2979/3193s"]
[293,1650,15,31,"365+401/1650",0.24303030303030304,"05h 49m 57+9/11s"]
[605,3407,31,64,"365+828/3407",0.2430290578221309,"05h 49m 57+2421/3407s"]
[312,1757,16,33,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[643,3621,33,68,"365+880/3621",0.24302678818006077,"05h 49m 57+621/1207s"]
[331,1864,17,35,"365+453/1864",0.24302575107296137,"05h 49m 57+99/233s"]
[681,3835,35,72,"365+932/3835",0.24302477183833116,"05h 49m 57+261/767s"]
[350,1971,18,37,"365+479/1971",0.24302384576357178,"05h 49m 57+19/73s"]
[369,2078,19,39,"365+505/2078",0.24302213666987488,"05h 49m 57+117/1039s"]
[388,2185,20,41,"365+531/2185",0.24302059496567505,"05h 49m 56+428/437s"]
[407,2292,21,43,"365+557/2292",0.2430191972076789,"05h 49m 56+164/191s"]
[426,2399,22,45,"365+583/2399",0.24301792413505627,"05h 49m 56+1796/2399s"]
[445,2506,23,47,"365+87/358",0.2430167597765363,"05h 49m 56+116/179s"]
[464,2613,24,49,"365+635/2613",0.2430156907768848,"05h 49m 56+484/871s"]
[483,2720,25,51,"365+661/2720",0.24301470588235294,"05h 49m 56+8/17s"]
[502,2827,26,53,"365+687/2827",0.24301379554297842,"05h 49m 56+1108/2827s"]
[521,2934,27,55,"365+713/2934",0.24301295160190867,"05h 49m 56+52/163s"]
[540,3041,28,57,"365+739/3041",0.2430121670503124,"05h 49m 56+764/3041s"]
[559,3148,29,59,"365+765/3148",0.24301143583227447,"05h 49m 56+148/787s"]
[578,3255,30,61,"365+113/465",0.24301075268817204,"05h 49m 56+4/31s"]
[597,3362,31,63,"365+817/3362",0.24301011302795955,"05h 49m 56+124/1681s"]
[616,3469,32,65,"365+843/3469",0.24300951282790428,"05h 49m 56+76/3469s"]
[635,3576,33,67,"365+869/3576",0.2430089485458613,"05h 49m 55+145/149s"]
[654,3683,34,69,"365+895/3683",0.24300841705131687,"05h 49m 55+3415/3683s"]
[673,3790,35,71,"365+921/3790",0.24300791556728232,"05h 49m 55+335/379s"]
[692,3897,36,73,"365+947/3897",0.24300744162176033,"05h 49m 55+365/433s"]
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[487,2747,61,38,"365+662/2747",0.2409901710957408,"05h 47m 1+1513/2747s"]
[423,2386,53,33,"365+575/2386",0.240989103101425,"05h 47m 1+547/1193s"]
[359,2025,45,28,"365+488/2025",0.24098765432098765,"05h 47m 1+1/3s"]
[654,3689,82,51,"365+127/527",0.2409867172675522,"05h 47m 1+133/527s"]
[295,1664,37,23,"365+401/1664",0.24098557692307693,"05h 47m 1+2/13s"]
[526,2967,66,41,"365+715/2967",0.24098415908324908,"05h 47m 1+31/989s"]
[231,1303,29,18,"365+314/1303",0.2409823484267076,"05h 47m 1140/1303s"]
[629,3548,79,49,"365+855/3548",0.24098083427282976,"05h 47m 660/887s"]
[398,2245,50,31,"365+541/2245",0.24097995545657017,"05h 47m 300/449s"]
[565,3187,71,44,"365+768/3187",0.24097897709444618,"05h 47m 1860/3187s"]
[167,942,21,13,"365+227/942",0.24097664543524416,"05h 47m 60/157s"]
[604,3407,76,47,"365+821/3407",0.2409744643381274,"05h 47m 660/3407s"]
[437,2465,55,34,"365+594/2465",0.240973630831643,"05h 47m 60/493s"]
[707,3988,89,55,"365+961/3988",0.2409729187562688,"05h 47m 60/997s"]
[3,17,1,0,"365+4/17",0.23529411764705882,"05h 38m 49+7/17s"]

{"sheet":"LW8","index":7,"n_rows":324,"n_cols":7,"rows_kept":324,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Leap) Year has 360 and a Long (Common) Year 368 days (maximum of 2000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 9 short in 26 years and 1 short in 3 years."]
["For symmetrical cycle, year y is short if and only if the remainder of (S x Y + K ) MOD C < S, where S=Short Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  These are leap week cycles, so the number of days per cycle MOD 8 is always zero."]
[]
["Short","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","26","3","Mean Year","Decimal","Exact Time"]
[1,3,0,1,"365+1/3",0.33333333333333337,"08h 00m 0s"]
[397,1152,39,46,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[682,1979,67,79,"365+481/1979",0.2430520464881253,"05h 49m 59+1379/1979s"]
[285,827,28,33,"365+201/827",0.2430471584038694,"05h 49m 59+227/827s"]
[458,1329,45,53,"365+323/1329",0.24303987960872836,"05h 49m 58+286/443s"]
[631,1831,62,73,"365+445/1831",0.2430365920262152,"05h 49m 58+662/1831s"]
[173,502,17,20,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[580,1683,57,67,"365+409/1683",0.24301841948900774,"05h 49m 56+148/187s"]
[407,1181,40,47,"365+287/1181",0.24301439458086369,"05h 49m 56+524/1181s"]
[641,1860,63,74,"365+113/465",0.24301075268817204,"05h 49m 56+4/31s"]
[234,679,23,27,"365+165/679",0.24300441826215022,"05h 49m 55+395/679s"]
[529,1535,52,61,"365+373/1535",0.24299674267100976,"05h 49m 54+282/307s"]
[295,856,29,34,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[651,1889,64,75,"365+459/1889",0.24298570672313394,"05h 49m 53+1823/1889s"]
[356,1033,35,41,"365+251/1033",0.24298160696999033,"05h 49m 53+631/1033s"]
[417,1210,41,48,"365+147/605",0.24297520661157024,"05h 49m 53+7/121s"]
[478,1387,47,55,"365+337/1387",0.24297043979812544,"05h 49m 52+896/1387s"]
[539,1564,53,62,"365+95/391",0.24296675191815856,"05h 49m 52+128/391s"]
[600,1741,59,69,"365+423/1741",0.24296381390005745,"05h 49m 52+128/1741s"]
[661,1918,65,76,"365+233/959",0.2429614181438999,"05h 49m 51+831/959s"]
[61,177,6,7,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[681,1976,67,78,"365+60/247",0.242914979757085,"05h 49m 47+211/247s"]
[620,1799,61,71,"365+437/1799",0.24291272929405225,"05h 49m 47+1187/1799s"]
[559,1622,55,64,"365+197/811",0.24290998766954378,"05h 49m 47+343/811s"]
[498,1445,49,57,"365+351/1445",0.24290657439446367,"05h 49m 47+37/289s"]
[437,1268,43,50,"365+77/317",0.24290220820189273,"05h 49m 46+238/317s"]
[376,1091,37,43,"365+265/1091",0.24289642529789185,"05h 49m 46+274/1091s"]
[315,914,31,36,"365+111/457",0.24288840262582057,"05h 49m 45+255/457s"]
[569,1651,56,65,"365+401/1651",0.24288310115081768,"05h 49m 45+165/1651s"]
[254,737,25,29,"365+179/737",0.24287652645861602,"05h 49m 44+392/737s"]
[447,1297,44,51,"365+315/1297",0.24286815728604472,"05h 49m 43+1049/1297s"]
[640,1857,63,73,"365+451/1857",0.24286483575659665,"05h 49m 43+323/619s"]
[193,560,19,22,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[518,1503,51,59,"365+365/1503",0.2428476380572189,"05h 49m 42+6/167s"]
[325,943,32,37,"365+229/943",0.24284199363732767,"05h 49m 41+517/943s"]
[457,1326,45,52,"365+161/663",0.24283559577677225,"05h 49m 40+220/221s"]
[589,1709,58,67,"365+415/1709",0.24283206553540082,"05h 49m 40+1180/1709s"]
[132,383,13,15,"365+93/383",0.24281984334203655,"05h 49m 39+243/383s"]
[599,1738,59,68,"365+211/869",0.2428078250863061,"05h 49m 38+518/869s"]
[467,1355,46,53,"365+329/1355",0.24280442804428043,"05h 49m 38+82/271s"]
[335,972,33,38,"365+59/243",0.24279835390946503,"05h 49m 37+7/9s"]
[538,1561,53,61,"365+379/1561",0.2427930813581038,"05h 49m 37+503/1561s"]
[203,589,20,23,"365+143/589",0.2427843803056027,"05h 49m 36+336/589s"]
[680,1973,67,77,"365+479/1973",0.24277749619868222,"05h 49m 35+1925/1973s"]
[477,1384,47,54,"365+42/173",0.24277456647398843,"05h 49m 35+125/173s"]
[274,795,27,31,"365+193/795",0.24276729559748428,"05h 49m 35+5/53s"]
[619,1796,61,70,"365+109/449",0.24276169265033407,"05h 49m 34+274/449s"]
[345,1001,34,39,"365+243/1001",0.24275724275724275,"05h 49m 34+226/1001s"]
[416,1207,41,47,"365+293/1207",0.2427506213753107,"05h 49m 33+789/1207s"]
[487,1413,48,55,"365+343/1413",0.2427459306440198,"05h 49m 33+39/157s"]
[558,1619,55,63,"365+393/1619",0.24274243360098827,"05h 49m 32+1532/1619s"]
[629,1825,62,71,"365+443/1825",0.24273972602739727,"05h 49m 32+52/73s"]
[71,206,7,8,"365+25/103",0.24271844660194175,"05h 49m 30+90/103s"]
[649,1883,64,73,"365+457/1883",0.24269782262347317,"05h 49m 29+173/1883s"]
[578,1677,57,65,"365+407/1677",0.2426952892069171,"05h 49m 28+488/559s"]
[507,1471,50,57,"365+357/1471",0.24269204622705642,"05h 49m 28+872/1471s"]
[436,1265,43,49,"365+307/1265",0.2426877470355731,"05h 49m 28+56/253s"]
[365,1059,36,41,"365+257/1059",0.24268177525967893,"05h 49m 27+249/353s"]
[659,1912,65,74,"365+58/239",0.24267782426778242,"05h 49m 27+87/239s"]
[294,853,29,33,"365+207/853",0.24267291910902697,"05h 49m 26+802/853s"]
[517,1500,51,58,"365+91/375",0.24266666666666667,"05h 49m 26+2/5s"]
[223,647,22,25,"365+157/647",0.2426584234930448,"05h 49m 25+445/647s"]
[598,1735,59,67,"365+421/1735",0.2426512968299712,"05h 49m 25+25/347s"]
[375,1088,37,42,"365+33/136",0.2426470588235294,"05h 49m 24+12/17s"]
[527,1529,52,59,"365+371/1529",0.24264224983649443,"05h 49m 24+444/1529s"]
[679,1970,67,76,"365+239/985",0.24263959390862944,"05h 49m 24+12/197s"]
[152,441,15,17,"365+107/441",0.24263038548752835,"05h 49m 23+13/49s"]
[689,1999,68,77,"365+485/1999",0.24262131065532766,"05h 49m 22+962/1999s"]
[537,1558,53,60,"365+189/779",0.24261874197689345,"05h 49m 22+202/779s"]
[385,1117,38,43,"365+271/1117",0.24261414503133394,"05h 49m 21+963/1117s"]
[618,1793,61,69,"365+435/1793",0.2426101505856107,"05h 49m 21+927/1793s"]
[233,676,23,26,"365+41/169",0.24260355029585798,"05h 49m 20+160/169s"]
[547,1587,54,61,"365+385/1587",0.24259609325771897,"05h 49m 20+160/529s"]
[314,911,31,35,"365+221/911",0.24259055982436883,"05h 49m 19+751/911s"]
[395,1146,39,44,"365+139/573",0.2425828970331588,"05h 49m 19+31/191s"]
[476,1381,47,53,"365+335/1381",0.24257784214337436,"05h 49m 18+1002/1381s"]
[557,1616,55,62,"365+49/202",0.24257425742574257,"05h 49m 18+42/101s"]
[638,1851,63,71,"365+449/1851",0.24257158292814696,"05h 49m 18+114/617s"]
[81,235,8,9,"365+57/235",0.2425531914893617,"05h 49m 16+28/47s"]
[658,1909,65,73,"365+463/1909",0.2425353588266108,"05h 49m 15+105/1909s"]
[577,1674,57,64,"365+203/837",0.24253285543608125,"05h 49m 14+26/31s"]
[496,1439,49,55,"365+349/1439",0.2425295343988881,"05h 49m 14+794/1439s"]
[415,1204,41,46,"365+73/301",0.2425249169435216,"05h 49m 14+46/301s"]
[334,969,33,37,"365+235/969",0.24251805985552116,"05h 49m 13+181/323s"]
[587,1703,58,65,"365+413/1703",0.24251321197886083,"05h 49m 13+241/1703s"]
[253,734,25,28,"365+89/367",0.24250681198910082,"05h 49m 12+216/367s"]
[678,1967,67,75,"365+477/1967",0.24250127097102187,"05h 49m 12+216/1967s"]
[425,1233,42,47,"365+299/1233",0.24249797242497972,"05h 49m 11+113/137s"]
[597,1732,59,66,"365+105/433",0.24249422632794457,"05h 49m 11+217/433s"]
[172,499,17,19,"365+121/499",0.24248496993987975,"05h 49m 10+350/499s"]
[607,1761,60,67,"365+427/1761",0.24247586598523566,"05h 49m 9+537/587s"]
[435,1262,43,48,"365+153/631",0.24247226624405704,"05h 49m 9+381/631s"]
[263,763,26,29,"365+185/763",0.24246395806028834,"05h 49m 8+676/763s"]
[617,1790,61,68,"365+217/895",0.2424581005586592,"05h 49m 8+68/179s"]
[354,1027,35,39,"365+249/1027",0.24245374878286272,"05h 49m 8+4/1027s"]
[445,1291,44,49,"365+313/1291",0.24244771494965142,"05h 49m 7+623/1291s"]
[536,1555,53,59,"365+377/1555",0.24244372990353696,"05h 49m 7+43/311s"]
[627,1819,62,69,"365+441/1819",0.24244090159428258,"05h 49m 6+1626/1819s"]
[91,264,9,10,"365+8/33",0.24242424242424243,"05h 49m 5+5/11s"]
[647,1877,64,71,"365+455/1877",0.2424080980287693,"05h 49m 4+112/1877s"]
[556,1613,55,61,"365+391/1613",0.24240545567265964,"05h 49m 3+1341/1613s"]
[465,1349,46,51,"365+327/1349",0.24240177909562638,"05h 49m 3+693/1349s"]
[374,1085,37,41,"365+263/1085",0.2423963133640553,"05h 49m 3+9/217s"]
[657,1906,65,72,"365+231/953",0.24239244491080797,"05h 49m 2+674/953s"]
[283,821,28,31,"365+199/821",0.24238733252131547,"05h 49m 2+218/821s"]
[475,1378,47,52,"365+167/689",0.24238026124818576,"05h 49m 1+451/689s"]
[667,1935,66,73,"365+469/1935",0.24237726098191215,"05h 49m 1+17/43s"]
[192,557,19,21,"365+135/557",0.24236983842010773,"05h 49m 420/557s"]
[677,1964,67,74,"365+119/491",0.24236252545824846,"05h 49m 60/491s"]
[485,1407,48,53,"365+341/1407",0.24235963041933192,"05h 48m 59+409/469s"]
[293,850,29,32,"365+103/425",0.24235294117647058,"05h 48m 59+5/17s"]
[687,1993,68,75,"365+483/1993",0.24234821876567988,"05h 48m 58+1766/1993s"]
[394,1143,39,43,"365+277/1143",0.24234470691163604,"05h 48m 58+74/127s"]
[495,1436,49,54,"365+87/359",0.24233983286908078,"05h 48m 58+58/359s"]
[596,1729,59,65,"365+419/1729",0.24233661075766338,"05h 48m 57+1527/1729s"]
[101,293,10,11,"365+71/293",0.24232081911262798,"05h 48m 56+152/293s"]
[616,1787,61,67,"365+433/1787",0.24230554001119195,"05h 48m 55+355/1787s"]
[515,1494,51,56,"365+181/747",0.24230254350736277,"05h 48m 54+78/83s"]
[414,1201,41,45,"365+291/1201",0.24229808492922564,"05h 48m 54+666/1201s"]
[313,908,31,34,"365+55/227",0.2422907488986784,"05h 48m 53+209/227s"]
[525,1523,52,57,"365+369/1523",0.242284963887065,"05h 48m 53+641/1523s"]
[212,615,21,23,"365+149/615",0.24227642276422764,"05h 48m 52+28/41s"]
[535,1552,53,58,"365+47/194",0.2422680412371134,"05h 48m 51+93/97s"]
[323,937,32,35,"365+227/937",0.24226254002134473,"05h 48m 51+453/937s"]
[434,1259,43,47,"365+305/1259",0.24225575853852263,"05h 48m 50+1130/1259s"]
[545,1581,54,59,"365+383/1581",0.2422517394054396,"05h 48m 50+290/527s"]
[656,1903,65,71,"365+461/1903",0.2422490803993694,"05h 48m 50+610/1903s"]
[111,322,11,12,"365+39/161",0.2422360248447205,"05h 48m 49+31/161s"]
[676,1961,67,73,"365+475/1961",0.2422233554309026,"05h 48m 48+192/1961s"]
[565,1639,56,61,"365+397/1639",0.2422208663819402,"05h 48m 47+1447/1639s"]
[454,1317,45,49,"365+319/1317",0.2422171602126044,"05h 48m 47+247/439s"]
[343,995,34,37,"365+241/995",0.2422110552763819,"05h 48m 47+7/199s"]
[575,1668,57,62,"365+101/417",0.2422062350119904,"05h 48m 46+86/139s"]
[232,673,23,25,"365+163/673",0.24219910846953938,"05h 48m 46+2/673s"]
[585,1697,58,63,"365+411/1697",0.24219210371243372,"05h 48m 45+675/1697s"]
[353,1024,35,38,"365+31/128",0.2421875,"05h 48m 45s"]
[474,1375,47,51,"365+333/1375",0.2421818181818182,"05h 48m 44+28/55s"]
[595,1726,59,64,"365+209/863",0.2421784472769409,"05h 48m 44+188/863s"]
[121,351,12,13,"365+85/351",0.24216524216524216,"05h 48m 43+1/13s"]
[615,1784,61,66,"365+54/223",0.242152466367713,"05h 48m 41+217/223s"]
[494,1433,49,53,"365+347/1433",0.2421493370551291,"05h 48m 41+1007/1433s"]
[373,1082,37,40,"365+131/541",0.24214417744916822,"05h 48m 41+139/541s"]
[625,1813,62,67,"365+439/1813",0.24214009928295643,"05h 48m 40+1640/1813s"]
[252,731,25,27,"365+177/731",0.2421340629274966,"05h 48m 40+280/731s"]
[635,1842,63,68,"365+223/921",0.24212812160694897,"05h 48m 39+267/307s"]
[383,1111,38,41,"365+269/1111",0.24212421242124213,"05h 48m 39+591/1111s"]
[514,1491,51,55,"365+361/1491",0.2421193829644534,"05h 48m 39+57/497s"]
[645,1871,64,69,"365+453/1871",0.242116515232496,"05h 48m 38+1622/1871s"]
[131,380,13,14,"365+23/95",0.24210526315789474,"05h 48m 37+17/19s"]
[665,1929,66,71,"365+467/1929",0.24209434940383617,"05h 48m 36+612/643s"]
[534,1549,53,57,"365+375/1549",0.2420916720464816,"05h 48m 36+1116/1549s"]
[403,1169,40,43,"365+283/1169",0.24208725406330198,"05h 48m 36+396/1169s"]
[675,1958,67,72,"365+237/979",0.24208375893769152,"05h 48m 36+36/979s"]
[272,789,27,29,"365+191/789",0.2420785804816223,"05h 48m 35+155/263s"]
[685,1987,68,73,"365+481/1987",0.2420734776044288,"05h 48m 35+295/1987s"]
[413,1198,41,44,"365+145/599",0.24207011686143573,"05h 48m 34+514/599s"]
[554,1607,55,59,"365+389/1607",0.24206596141879277,"05h 48m 34+802/1607s"]
[141,409,14,15,"365+99/409",0.24205378973105135,"05h 48m 33+183/409s"]
[574,1665,57,61,"365+403/1665",0.24204204204204205,"05h 48m 32+16/37s"]
[433,1256,43,46,"365+38/157",0.24203821656050956,"05h 48m 32+16/157s"]
[292,847,29,31,"365+205/847",0.24203069657615112,"05h 48m 31+383/847s"]
[443,1285,44,47,"365+311/1285",0.24202334630350195,"05h 48m 30+210/257s"]
[594,1723,59,63,"365+417/1723",0.2420197330237957,"05h 48m 30+870/1723s"]
[151,438,15,16,"365+53/219",0.2420091324200913,"05h 48m 29+43/73s"]
[614,1781,61,65,"365+431/1781",0.24199887703537337,"05h 48m 28+1252/1781s"]
[463,1343,46,49,"365+325/1343",0.24199553239017127,"05h 48m 28+556/1343s"]
[312,905,31,33,"365+219/905",0.2419889502762431,"05h 48m 27+153/181s"]
[473,1372,47,50,"365+83/343",0.24198250728862974,"05h 48m 27+99/343s"]
[634,1839,63,67,"365+445/1839",0.24197933659597606,"05h 48m 27+9/613s"]
[161,467,16,17,"365+113/467",0.24197002141327623,"05h 48m 26+98/467s"]
[654,1897,65,69,"365+459/1897",0.24196099103848182,"05h 48m 25+815/1897s"]
[493,1430,49,52,"365+173/715",0.24195804195804196,"05h 48m 25+25/143s"]
[332,963,33,35,"365+233/963",0.24195223260643822,"05h 48m 24+72/107s"]
[503,1459,50,53,"365+353/1459",0.2419465387251542,"05h 48m 24+264/1459s"]
[674,1955,67,71,"365+473/1955",0.24194373401534527,"05h 48m 23+367/391s"]
[171,496,17,18,"365+15/62",0.24193548387096775,"05h 48m 23+7/31s"]
[523,1517,52,55,"365+367/1517",0.24192485168094924,"05h 48m 22+466/1517s"]
[352,1021,35,37,"365+247/1021",0.24191968658178256,"05h 48m 21+879/1021s"]
[533,1546,53,56,"365+187/773",0.24191461836998707,"05h 48m 21+327/773s"]
[181,525,18,19,"365+127/525",0.2419047619047619,"05h 48m 20+4/7s"]
[553,1604,55,58,"365+97/401",0.24189526184538654,"05h 48m 19+301/401s"]
[372,1079,37,39,"365+261/1079",0.24189063948100092,"05h 48m 19+379/1079s"]
[563,1633,56,59,"365+395/1633",0.24188609920391918,"05h 48m 18+1566/1633s"]
[191,554,19,20,"365+67/277",0.24187725631768953,"05h 48m 18+54/277s"]
[583,1691,58,61,"365+409/1691",0.24186871673565938,"05h 48m 17+773/1691s"]
[392,1137,39,41,"365+275/1137",0.2418645558487247,"05h 48m 17+37/379s"]
[593,1720,59,62,"365+52/215",0.24186046511627907,"05h 48m 16+32/43s"]
[201,583,20,21,"365+141/583",0.241852487135506,"05h 48m 16+32/583s"]
[613,1778,61,64,"365+215/889",0.24184476940382452,"05h 48m 15+345/889s"]
[412,1195,41,43,"365+289/1195",0.24184100418410043,"05h 48m 15+15/239s"]
[623,1807,62,65,"365+437/1807",0.24183729939125623,"05h 48m 14+1342/1807s"]
[211,612,21,22,"365+37/153",0.24183006535947713,"05h 48m 14+2/17s"]
[643,1865,64,67,"365+451/1865",0.2418230563002681,"05h 48m 13+191/373s"]
[432,1253,43,45,"365+303/1253",0.2418196328810854,"05h 48m 13+271/1253s"]
[653,1894,65,68,"365+229/947",0.24181626187961985,"05h 48m 12+876/947s"]
[221,641,22,23,"365+155/641",0.24180967238689546,"05h 48m 12+228/641s"]
[673,1952,67,70,"365+59/244",0.24180327868852458,"05h 48m 11+49/61s"]
[452,1311,45,47,"365+317/1311",0.2418001525553013,"05h 48m 11+233/437s"]
[683,1981,68,71,"365+479/1981",0.24179707218576477,"05h 48m 11+529/1981s"]
[231,670,23,24,"365+81/335",0.2417910447761194,"05h 48m 10+50/67s"]
[472,1369,47,49,"365+331/1369",0.24178232286340395,"05h 48m 9+1359/1369s"]
[241,699,24,25,"365+169/699",0.24177396280400573,"05h 48m 9+63/233s"]
[492,1427,49,51,"365+345/1427",0.24176594253679046,"05h 48m 8+824/1427s"]
[251,728,25,26,"365+22/91",0.24175824175824176,"05h 48m 7+83/91s"]
[512,1485,51,53,"365+359/1485",0.24175084175084174,"05h 48m 7+3/11s"]
[261,757,26,27,"365+183/757",0.24174372523117568,"05h 48m 6+498/757s"]
[532,1543,53,55,"365+373/1543",0.24173687621516526,"05h 48m 6+102/1543s"]
[271,786,27,28,"365+95/393",0.24173027989821882,"05h 48m 5+65/131s"]
[552,1601,55,57,"365+387/1601",0.24172392254840724,"05h 48m 4+1516/1601s"]
[281,815,28,29,"365+197/815",0.24171779141104294,"05h 48m 4+68/163s"]
[572,1659,57,59,"365+401/1659",0.24171187462326701,"05h 48m 3+501/553s"]
[291,844,29,30,"365+51/211",0.24170616113744076,"05h 48m 3+87/211s"]
[592,1717,59,61,"365+415/1717",0.2417006406523005,"05h 48m 2+1606/1717s"]
[301,873,30,31,"365+211/873",0.24169530355097366,"05h 48m 2+46/97s"]
[612,1775,61,63,"365+429/1775",0.24169014084507043,"05h 48m 2+2/71s"]
[311,902,31,32,"365+109/451",0.24168514412416853,"05h 48m 1+269/451s"]
[632,1833,63,65,"365+443/1833",0.24168030551009276,"05h 48m 1+109/611s"]
[321,931,32,33,"365+225/931",0.24167561761546724,"05h 48m 720/931s"]
[652,1891,65,67,"365+457/1891",0.24167107350608144,"05h 48m 720/1891s"]
[331,960,33,34,"365+29/120",0.24166666666666667,"05h 48m 0s"]
[672,1949,67,69,"365+471/1949",0.24166239096972805,"05h 47m 59+1229/1949s"]
[341,989,34,35,"365+239/989",0.2416582406471183,"05h 47m 59+269/989s"]
[351,1018,35,36,"365+123/509",0.24165029469548133,"05h 47m 58+298/509s"]
[361,1047,36,37,"365+253/1047",0.24164278892072588,"05h 47m 57+327/349s"]
[371,1076,37,38,"365+65/269",0.241635687732342,"05h 47m 57+87/269s"]
[381,1105,38,39,"365+267/1105",0.2416289592760181,"05h 47m 56+164/221s"]
[391,1134,39,40,"365+137/567",0.24162257495590828,"05h 47m 56+4/21s"]
[401,1163,40,41,"365+281/1163",0.2416165090283749,"05h 47m 55+775/1163s"]
[411,1192,41,42,"365+36/149",0.24161073825503357,"05h 47m 55+25/149s"]
[421,1221,42,43,"365+295/1221",0.2416052416052416,"05h 47m 54+282/407s"]
[431,1250,43,44,"365+151/625",0.2416,"05h 47m 54+6/25s"]
[441,1279,44,45,"365+309/1279",0.24159499609069585,"05h 47m 53+1033/1279s"]
[451,1308,45,46,"365+79/327",0.2415902140672783,"05h 47m 53+43/109s"]
[461,1337,46,47,"365+323/1337",0.24158563949139866,"05h 47m 52+1336/1337s"]
[471,1366,47,48,"365+165/683",0.24158125915080528,"05h 47m 52+424/683s"]
[481,1395,48,49,"365+337/1395",0.24157706093189965,"05h 47m 52+8/31s"]
[491,1424,49,50,"365+43/178",0.24157303370786518,"05h 47m 51+81/89s"]
[501,1453,50,51,"365+351/1453",0.2415691672401927,"05h 47m 51+837/1453s"]
[511,1482,51,52,"365+179/741",0.24156545209176788,"05h 47m 51+63/247s"]
[521,1511,52,53,"365+365/1511",0.2415618795499669,"05h 47m 50+1430/1511s"]
[531,1540,53,54,"365+93/385",0.24155844155844156,"05h 47m 50+50/77s"]
[541,1569,54,55,"365+379/1569",0.24155513065646908,"05h 47m 50+190/523s"]
[551,1598,55,56,"365+193/799",0.24155193992490614,"05h 47m 50+70/799s"]
[561,1627,56,57,"365+393/1627",0.24154886293792255,"05h 47m 49+1337/1627s"]
[571,1656,57,58,"365+50/207",0.24154589371980675,"05h 47m 49+13/23s"]
[581,1685,58,59,"365+407/1685",0.24154302670623146,"05h 47m 49+107/337s"]
[591,1714,59,60,"365+207/857",0.24154025670945156,"05h 47m 49+67/857s"]
[601,1743,60,61,"365+421/1743",0.24153757888697647,"05h 47m 48+492/581s"]
[611,1772,61,62,"365+107/443",0.24153498871331827,"05h 47m 48+276/443s"]
[621,1801,62,63,"365+435/1801",0.24153248195446975,"05h 47m 48+732/1801s"]
[631,1830,63,64,"365+221/915",0.24153005464480876,"05h 47m 48+12/61s"]
[641,1859,64,65,"365+449/1859",0.2415277030661646,"05h 47m 47+1847/1859s"]
[651,1888,65,66,"365+57/236",0.24152542372881355,"05h 47m 47+47/59s"]
[661,1917,66,67,"365+463/1917",0.24152321335419927,"05h 47m 47+43/71s"]
[671,1946,67,68,"365+235/973",0.24152106885919836,"05h 47m 47+409/973s"]
[681,1975,68,69,"365+477/1975",0.24151898734177216,"05h 47m 47+19/79s"]
[10,29,1,1,"365+7/29",0.2413793103448276,"05h 47m 35+5/29s"]
[689,1998,69,68,"365+241/999",0.24124124124124124,"05h 47m 23+9/37s"]
[679,1969,68,67,"365+475/1969",0.24123920771965465,"05h 47m 23+133/1969s"]
[669,1940,67,66,"365+117/485",0.24123711340206186,"05h 47m 22+86/97s"]
[659,1911,66,65,"365+461/1911",0.2412349555206698,"05h 47m 22+446/637s"]
[649,1882,65,64,"365+227/941",0.2412327311370882,"05h 47m 22+478/941s"]
[639,1853,64,63,"365+447/1853",0.24123043712898004,"05h 47m 22+574/1853s"]
[629,1824,63,62,"365+55/228",0.2412280701754386,"05h 47m 22+2/19s"]
[619,1795,62,61,"365+433/1795",0.24122562674094708,"05h 47m 21+321/359s"]
[609,1766,61,60,"365+213/883",0.24122310305775765,"05h 47m 21+597/883s"]
[599,1737,60,59,"365+419/1737",0.24122049510650548,"05h 47m 21+87/193s"]
[589,1708,59,58,"365+103/427",0.24121779859484777,"05h 47m 21+93/427s"]
[579,1679,58,57,"365+405/1679",0.24121500893388922,"05h 47m 20+1640/1679s"]
[569,1650,57,56,"365+199/825",0.2412121212121212,"05h 47m 20+8/11s"]
[559,1621,56,55,"365+391/1621",0.24120913016656384,"05h 47m 20+760/1621s"]
[549,1592,55,54,"365+48/199",0.24120603015075376,"05h 47m 20+40/199s"]
[539,1563,54,53,"365+377/1563",0.24120281509916827,"05h 47m 19+481/521s"]
[529,1534,53,52,"365+185/767",0.24119947848761408,"05h 47m 19+487/767s"]
[519,1505,52,51,"365+363/1505",0.24119601328903653,"05h 47m 19+101/301s"]
[509,1476,51,50,"365+89/369",0.24119241192411925,"05h 47m 19+1/41s"]
[499,1447,50,49,"365+349/1447",0.24118866620594334,"05h 47m 18+1014/1447s"]
[489,1418,49,48,"365+171/709",0.24118476727785615,"05h 47m 18+258/709s"]
[479,1389,48,47,"365+335/1389",0.24118070554355653,"05h 47m 18+6/463s"]
[469,1360,47,46,"365+41/170",0.2411764705882353,"05h 47m 17+11/17s"]
[459,1331,46,45,"365+321/1331",0.24117205108940645,"05h 47m 17+353/1331s"]
[449,1302,45,44,"365+157/651",0.2411674347158218,"05h 47m 16+188/217s"]
[439,1273,44,43,"365+307/1273",0.24116260801256872,"05h 47m 16+572/1273s"]
[429,1244,43,42,"365+75/311",0.24115755627009647,"05h 47m 16+4/311s"]
[419,1215,42,41,"365+293/1215",0.2411522633744856,"05h 47m 15+5/9s"]
[409,1186,41,40,"365+143/593",0.2411467116357504,"05h 47m 15+45/593s"]
[399,1157,40,39,"365+279/1157",0.2411408815903198,"05h 47m 14+662/1157s"]
[389,1128,39,38,"365+34/141",0.24113475177304963,"05h 47m 14+2/47s"]
[379,1099,38,37,"365+265/1099",0.2411282984531392,"05h 47m 13+533/1099s"]
[369,1070,37,36,"365+129/535",0.2411214953271028,"05h 47m 12+96/107s"]
[359,1041,36,35,"365+251/1041",0.24111431316042267,"05h 47m 12+96/347s"]
[349,1012,35,34,"365+61/253",0.24110671936758893,"05h 47m 11+157/253s"]
[688,1995,69,67,"365+481/1995",0.24110275689223057,"05h 47m 11+37/133s"]
[339,983,34,33,"365+237/983",0.24109867751780265,"05h 47m 10+910/983s"]
[668,1937,67,65,"365+467/1937",0.24109447599380485,"05h 47m 10+1090/1937s"]
[329,954,33,32,"365+115/477",0.24109014675052412,"05h 47m 10+10/53s"]
[648,1879,65,63,"365+453/1879",0.24108568387440127,"05h 47m 9+1509/1879s"]
[319,925,32,31,"365+223/925",0.2410810810810811,"05h 47m 9+15/37s"]
[628,1821,63,61,"365+439/1821",0.24107633168588688,"05h 47m 8+604/607s"]
[309,896,31,30,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[608,1763,61,59,"365+425/1763",0.2410663641520136,"05h 47m 8+236/1763s"]
[299,867,30,29,"365+209/867",0.24106113033448673,"05h 47m 7+197/289s"]
[588,1705,59,57,"365+411/1705",0.24105571847507332,"05h 47m 7+73/341s"]
[289,838,29,28,"365+101/419",0.24105011933174225,"05h 47m 6+306/419s"]
[568,1647,57,55,"365+397/1647",0.24104432301153614,"05h 47m 6+14/61s"]
[279,809,28,27,"365+195/809",0.24103831891223734,"05h 47m 5+575/809s"]
[548,1589,55,53,"365+383/1589",0.24103209565764633,"05h 47m 5+275/1589s"]
[269,780,27,26,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[528,1531,53,51,"365+369/1531",0.24101894186806008,"05h 47m 4+56/1531s"]
[259,751,26,25,"365+181/751",0.24101198402130491,"05h 47m 3+327/751s"]
[508,1473,51,49,"365+355/1473",0.24100475220638154,"05h 47m 2+398/491s"]
[249,722,25,24,"365+87/361",0.2409972299168975,"05h 47m 2+58/361s"]
[488,1415,49,47,"365+341/1415",0.24098939929328622,"05h 47m 1+137/283s"]
[239,693,24,23,"365+167/693",0.240981240981241,"05h 47m 60/77s"]
[468,1357,47,45,"365+327/1357",0.24097273397199706,"05h 47m 60/1357s"]
[9,26,1,0,"365+3/13",0.23076923076923078,"05h 32m 18+6/13s"]

{"sheet":"LW9","index":8,"n_rows":294,"n_cols":7,"rows_kept":294,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Leap) Year has 360 and a Long (Common) Year 369 days (maximum of 2000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 33 short in 79 years and 5 short in 12 years."]
["For symmetrical cycle, year y is short if and only if the remainder of (S x Y + K ) MOD C < S, where S=Short Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  These are leap week cycles, so the number of days per cycle MOD 9 is always zero."]
[]
["Short","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","79","12","Mean Year","Decimal","Exact Time"]
[5,12,0,1,"365+1/4",0.25,"06h 00m 0s"]
[541,1296,12,29,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[766,1835,17,41,"365+446/1835",0.24305177111716622,"05h 49m 59+247/367s"]
[225,539,5,12,"365+131/539",0.24304267161410018,"05h 49m 58+478/539s"]
[809,1938,18,43,"365+157/646",0.24303405572755418,"05h 49m 58+46/323s"]
[584,1399,13,31,"365+340/1399",0.24303073624017155,"05h 49m 57+1197/1399s"]
[359,860,8,19,"365+209/860",0.24302325581395348,"05h 49m 57+9/43s"]
[493,1181,11,26,"365+287/1181",0.24301439458086369,"05h 49m 56+524/1181s"]
[627,1502,14,33,"365+365/1502",0.24300932090545938,"05h 49m 56+4/751s"]
[761,1823,17,40,"365+443/1823",0.24300603400987383,"05h 49m 55+1315/1823s"]
[134,321,3,7,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[713,1708,16,37,"365+415/1708",0.2429742388758782,"05h 49m 52+416/427s"]
[579,1387,13,30,"365+337/1387",0.24297043979812544,"05h 49m 52+896/1387s"]
[445,1066,10,23,"365+259/1066",0.24296435272045028,"05h 49m 52+64/533s"]
[756,1811,17,39,"365+440/1811",0.24295969077857538,"05h 49m 51+1299/1811s"]
[311,745,7,16,"365+181/745",0.24295302013422818,"05h 49m 51+21/149s"]
[799,1914,18,41,"365+155/638",0.24294670846394983,"05h 49m 50+190/319s"]
[488,1169,11,25,"365+284/1169",0.24294268605645852,"05h 49m 50+290/1169s"]
[665,1593,15,34,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[177,424,4,9,"365+103/424",0.2429245283018868,"05h 49m 48+36/53s"]
[751,1799,17,38,"365+437/1799",0.24291272929405225,"05h 49m 47+1187/1799s"]
[574,1375,13,29,"365+334/1375",0.2429090909090909,"05h 49m 47+19/55s"]
[397,951,9,20,"365+77/317",0.24290220820189273,"05h 49m 46+238/317s"]
[617,1478,14,31,"365+359/1478",0.2428958051420839,"05h 49m 46+146/739s"]
[220,527,5,11,"365+128/527",0.2428842504743833,"05h 49m 45+105/527s"]
[703,1684,16,35,"365+409/1684",0.24287410926365796,"05h 49m 44+136/421s"]
[483,1157,11,24,"365+281/1157",0.2428694900605013,"05h 49m 43+1069/1157s"]
[746,1787,17,37,"365+434/1787",0.24286513710128707,"05h 49m 43+979/1787s"]
[263,630,6,13,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[832,1993,19,41,"365+484/1993",0.24284997491219268,"05h 49m 42+474/1993s"]
[569,1363,13,28,"365+331/1363",0.24284666177549524,"05h 49m 41+1297/1363s"]
[306,733,7,15,"365+178/733",0.24283765347885403,"05h 49m 41+127/733s"]
[655,1569,15,32,"365+127/523",0.24282982791587,"05h 49m 40+260/523s"]
[349,836,8,17,"365+203/836",0.24282296650717702,"05h 49m 39+189/209s"]
[741,1775,17,36,"365+431/1775",0.2428169014084507,"05h 49m 39+27/71s"]
[392,939,9,19,"365+76/313",0.24281150159744408,"05h 49m 38+286/313s"]
[827,1981,19,40,"365+481/1981",0.24280666330136294,"05h 49m 38+982/1981s"]
[435,1042,10,21,"365+253/1042",0.24280230326295585,"05h 49m 38+62/521s"]
[478,1145,11,23,"365+278/1145",0.2427947598253275,"05h 49m 37+107/229s"]
[521,1248,12,25,"365+101/416",0.24278846153846154,"05h 49m 36+12/13s"]
[564,1351,13,27,"365+328/1351",0.24278312361213916,"05h 49m 36+624/1351s"]
[607,1454,14,29,"365+353/1454",0.24277854195323245,"05h 49m 36+48/727s"]
[650,1557,15,31,"365+42/173",0.24277456647398843,"05h 49m 35+125/173s"]
[693,1660,16,33,"365+403/1660",0.2427710843373494,"05h 49m 35+35/83s"]
[736,1763,17,35,"365+428/1763",0.24276800907543958,"05h 49m 35+275/1763s"]
[779,1866,18,37,"365+151/622",0.2427652733118971,"05h 49m 34+286/311s"]
[822,1969,19,39,"365+478/1969",0.24276282376841035,"05h 49m 34+1394/1969s"]
[43,103,1,2,"365+25/103",0.24271844660194175,"05h 49m 30+90/103s"]
[812,1945,19,37,"365+472/1945",0.24267352185089974,"05h 49m 26+386/389s"]
[769,1842,18,35,"365+149/614",0.24267100977198697,"05h 49m 26+238/307s"]
[726,1739,17,33,"365+422/1739",0.24266820011500861,"05h 49m 26+926/1739s"]
[683,1636,16,31,"365+397/1636",0.24266503667481662,"05h 49m 26+106/409s"]
[640,1533,15,29,"365+124/511",0.24266144814090018,"05h 49m 25+485/511s"]
[597,1430,14,27,"365+347/1430",0.24265734265734265,"05h 49m 25+85/143s"]
[554,1327,13,25,"365+322/1327",0.2426525998492841,"05h 49m 25+245/1327s"]
[511,1224,12,23,"365+33/136",0.2426470588235294,"05h 49m 24+12/17s"]
[468,1121,11,21,"365+272/1121",0.24264049955396966,"05h 49m 24+156/1121s"]
[425,1018,10,19,"365+247/1018",0.24263261296660119,"05h 49m 23+233/509s"]
[807,1933,19,36,"365+469/1933",0.24262803931712365,"05h 49m 23+121/1933s"]
[382,915,9,17,"365+74/305",0.24262295081967214,"05h 49m 22+38/61s"]
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[388,929,11,5,"365+224/929",0.2411194833153929,"05h 47m 12+672/929s"]
[705,1688,20,9,"365+407/1688",0.2411137440758294,"05h 47m 12+48/211s"]
[317,759,9,4,"365+61/253",0.24110671936758893,"05h 47m 11+157/253s"]
[563,1348,16,7,"365+325/1348",0.2410979228486647,"05h 47m 10+290/337s"]
[809,1937,23,10,"365+467/1937",0.24109447599380485,"05h 47m 10+1090/1937s"]
[246,589,7,3,"365+142/589",0.24108658743633277,"05h 47m 9+519/589s"]
[667,1597,19,8,"365+385/1597",0.24107701941139636,"05h 47m 9+87/1597s"]
[421,1008,12,5,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[596,1427,17,7,"365+344/1427",0.24106517168885774,"05h 47m 8+44/1427s"]
[771,1846,22,9,"365+445/1846",0.24106175514626219,"05h 47m 7+679/923s"]
[175,419,5,2,"365+101/419",0.24105011933174225,"05h 47m 6+306/419s"]
[804,1925,23,9,"365+464/1925",0.24103896103896105,"05h 47m 5+59/77s"]
[629,1506,18,7,"365+121/502",0.2410358565737052,"05h 47m 5+125/251s"]
[454,1087,13,5,"365+262/1087",0.24103035878564857,"05h 47m 5+25/1087s"]
[733,1755,21,8,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[279,668,8,3,"365+161/668",0.2410179640718563,"05h 47m 3+159/167s"]
[662,1585,19,7,"365+382/1585",0.24100946372239748,"05h 47m 3+69/317s"]
[383,917,11,4,"365+221/917",0.2410032715376227,"05h 47m 2+626/917s"]
[487,1166,14,5,"365+281/1166",0.24099485420240138,"05h 47m 1+557/583s"]
[591,1415,17,6,"365+341/1415",0.24098939929328622,"05h 47m 1+137/283s"]
[695,1664,20,7,"365+401/1664",0.24098557692307693,"05h 47m 1+2/13s"]
[799,1913,23,8,"365+461/1913",0.24098274960794563,"05h 47m 1740/1913s"]
[33,79,1,0,"365+19/79",0.24050632911392406,"05h 46m 19+59/79s"]

{"sheet":"LW10","index":9,"n_rows":1030,"n_cols":7,"rows_kept":1030,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Leap) Year has 360 and a Long (Common) Year 370 days (maximum of 4000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 10 short in 21 years and 39 short in 82 years."]
["For symmetrical cycle, year y is short if and only if the remainder of (S x Y + K ) MOD C < S, where S=Short Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  These are leap week cycles, so the number of days per cycle MOD 10 is always zero."]
[]
["Short","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","21","82","Mean Year","Decimal","Exact Time"]
[39,82,0,1,"365+10/41",0.24390243902439024,"05h 51m 13+7/41s"]
[137,288,2,3,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[1830,3847,27,40,"365+935/3847",0.24304652976345203,"05h 49m 59+847/3847s"]
[1693,3559,25,37,"365+865/3559",0.24304579938184884,"05h 49m 59+559/3559s"]
[1556,3271,23,34,"365+795/3271",0.2430449403852033,"05h 49m 59+271/3271s"]
[1419,2983,21,31,"365+725/2983",0.2430439155212873,"05h 49m 58+2966/2983s"]
[1282,2695,19,28,"365+131/539",0.24304267161410018,"05h 49m 58+478/539s"]
[1145,2407,17,25,"365+585/2407",0.24304113003739095,"05h 49m 58+1814/2407s"]
[1008,2119,15,22,"365+515/2119",0.24303916941953752,"05h 49m 58+1238/2119s"]
[1879,3950,28,41,"365+96/395",0.2430379746835443,"05h 49m 58+38/79s"]
[871,1831,13,19,"365+445/1831",0.2430365920262152,"05h 49m 58+662/1831s"]
[1605,3374,24,35,"365+410/1687",0.24303497332542975,"05h 49m 58+374/1687s"]
[734,1543,11,16,"365+375/1543",0.24303305249513935,"05h 49m 58+86/1543s"]
[1331,2798,20,29,"365+340/1399",0.24303073624017155,"05h 49m 57+1197/1399s"]
[597,1255,9,13,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[1654,3477,25,36,"365+845/3477",0.24302559677883231,"05h 49m 57+477/1159s"]
[1057,2222,16,23,"365+270/1111",0.24302430243024303,"05h 49m 57+333/1111s"]
[1517,3189,23,33,"365+775/3189",0.24302289118846032,"05h 49m 57+189/1063s"]
[460,967,7,10,"365+235/967",0.24301964839710444,"05h 49m 56+868/967s"]
[1703,3580,26,37,"365+87/358",0.2430167597765363,"05h 49m 56+116/179s"]
[1243,2613,19,27,"365+635/2613",0.2430156907768848,"05h 49m 56+484/871s"]
[783,1646,12,17,"365+200/823",0.24301336573511542,"05h 49m 56+292/823s"]
[1889,3971,29,41,"365+965/3971",0.24301183580961974,"05h 49m 56+884/3971s"]
[1106,2325,17,24,"365+113/465",0.24301075268817204,"05h 49m 56+4/31s"]
[1429,3004,22,31,"365+365/1502",0.24300932090545938,"05h 49m 56+4/751s"]
[1752,3683,27,38,"365+895/3683",0.24300841705131687,"05h 49m 55+3415/3683s"]
[323,679,5,7,"365+165/679",0.24300441826215022,"05h 49m 55+395/679s"]
[1801,3786,28,39,"365+460/1893",0.24300052826201796,"05h 49m 55+155/631s"]
[1478,3107,23,32,"365+755/3107",0.24299967814612167,"05h 49m 55+535/3107s"]
[1155,2428,18,25,"365+295/1214",0.24299835255354202,"05h 49m 55+35/607s"]
[832,1749,13,18,"365+425/1749",0.24299599771297883,"05h 49m 54+498/583s"]
[1341,2819,21,29,"365+685/2819",0.24299396949272792,"05h 49m 54+1914/2819s"]
[1850,3889,29,40,"365+945/3889",0.24299305734121882,"05h 49m 54+2334/3889s"]
[509,1070,8,11,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[1713,3601,27,37,"365+875/3601",0.2429880588725354,"05h 49m 54+606/3601s"]
[1204,2531,19,26,"365+615/2531",0.24298696167522718,"05h 49m 54+186/2531s"]
[1899,3992,30,41,"365+485/1996",0.24298597194388777,"05h 49m 53+493/499s"]
[695,1461,11,15,"365+355/1461",0.242984257357974,"05h 49m 53+409/487s"]
[1576,3313,25,34,"365+805/3313",0.24298219136734078,"05h 49m 53+2191/3313s"]
[881,1852,14,19,"365+225/926",0.24298056155507558,"05h 49m 53+241/463s"]
[1067,2243,17,23,"365+545/2243",0.2429781542576906,"05h 49m 53+701/2243s"]
[1253,2634,20,27,"365+320/1317",0.24297646165527714,"05h 49m 53+73/439s"]
[1439,3025,23,31,"365+147/605",0.24297520661157024,"05h 49m 53+7/121s"]
[1625,3416,26,35,"365+415/1708",0.2429742388758782,"05h 49m 52+416/427s"]
[1811,3807,29,39,"365+925/3807",0.24297346992382454,"05h 49m 52+128/141s"]
[186,391,3,4,"365+95/391",0.24296675191815856,"05h 49m 52+128/391s"]
[1723,3622,28,37,"365+440/1811",0.24295969077857538,"05h 49m 51+1299/1811s"]
[1537,3231,25,33,"365+785/3231",0.24295883627359952,"05h 49m 51+231/359s"]
[1351,2840,22,29,"365+69/284",0.24295774647887325,"05h 49m 51+39/71s"]
[1165,2449,19,25,"365+595/2449",0.24295630869742751,"05h 49m 51+1041/2449s"]
[979,2058,16,21,"365+250/1029",0.24295432458697766,"05h 49m 51+87/343s"]
[1772,3725,29,38,"365+181/745",0.24295302013422818,"05h 49m 51+21/149s"]
[793,1667,13,17,"365+405/1667",0.2429514097180564,"05h 49m 51+3/1667s"]
[1400,2943,23,30,"365+715/2943",0.24294937138973835,"05h 49m 50+90/109s"]
[607,1276,10,13,"365+155/638",0.24294670846394983,"05h 49m 50+190/319s"]
[1635,3437,27,35,"365+835/3437",0.24294442828047716,"05h 49m 50+1370/3437s"]
[1028,2161,17,22,"365+525/2161",0.24294308190652475,"05h 49m 50+610/2161s"]
[1449,3046,24,31,"365+370/1523",0.24294156270518713,"05h 49m 50+230/1523s"]
[1870,3931,31,40,"365+955/3931",0.24294072755024168,"05h 49m 50+310/3931s"]
[421,885,7,9,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[1498,3149,25,32,"365+765/3149",0.24293426484598285,"05h 49m 49+1639/3149s"]
[1077,2264,18,23,"365+275/1132",0.24293286219081273,"05h 49m 49+113/283s"]
[1733,3643,29,37,"365+885/3643",0.2429316497392259,"05h 49m 49+1073/3643s"]
[656,1379,11,14,"365+335/1379",0.242929659173314,"05h 49m 49+169/1379s"]
[1547,3252,26,33,"365+395/1626",0.24292742927429276,"05h 49m 48+252/271s"]
[891,1873,15,19,"365+455/1873",0.2429257875066738,"05h 49m 48+1476/1873s"]
[1126,2367,19,24,"365+575/2367",0.24292353189691593,"05h 49m 48+156/263s"]
[1361,2861,23,29,"365+695/2861",0.24292205522544566,"05h 49m 48+1332/2861s"]
[1596,3355,27,34,"365+163/671",0.2429210134128167,"05h 49m 48+252/671s"]
[1831,3849,31,39,"365+935/3849",0.2429202390231229,"05h 49m 48+396/1283s"]
[235,494,4,5,"365+60/247",0.242914979757085,"05h 49m 47+211/247s"]
[1694,3561,29,36,"365+865/3561",0.24290929514181409,"05h 49m 47+431/1187s"]
[1459,3067,25,31,"365+745/3067",0.2429083795239648,"05h 49m 47+871/3067s"]
[1224,2573,21,26,"365+625/2573",0.24290711232024872,"05h 49m 47+449/2573s"]
[989,2079,17,21,"365+505/2079",0.2429052429052429,"05h 49m 47+1/77s"]
[1743,3664,30,37,"365+445/1832",0.24290393013100436,"05h 49m 46+206/229s"]
[754,1585,13,16,"365+77/317",0.24290220820189273,"05h 49m 46+238/317s"]
[1273,2676,22,27,"365+325/1338",0.2428998505231689,"05h 49m 46+122/223s"]
[1792,3767,31,38,"365+915/3767",0.24289885850809662,"05h 49m 46+1738/3767s"]
[519,1091,9,11,"365+265/1091",0.24289642529789185,"05h 49m 46+274/1091s"]
[1841,3870,32,39,"365+94/387",0.24289405684754523,"05h 49m 46+2/43s"]
[1322,2779,23,28,"365+675/2779",0.2428931270241094,"05h 49m 45+2685/2779s"]
[803,1688,14,17,"365+205/844",0.24289099526066352,"05h 49m 45+165/211s"]
[1890,3973,33,40,"365+965/3973",0.24288950415303298,"05h 49m 45+2595/3973s"]
[1087,2285,19,23,"365+111/457",0.24288840262582057,"05h 49m 45+255/457s"]
[1371,2882,24,29,"365+350/1441",0.24288688410825815,"05h 49m 45+615/1441s"]
[1655,3479,29,35,"365+845/3479",0.24288588674906583,"05h 49m 45+1185/3479s"]
[284,597,5,6,"365+145/597",0.24288107202680068,"05h 49m 44+184/199s"]
[1753,3685,31,37,"365+179/737",0.24287652645861602,"05h 49m 44+392/737s"]
[1469,3088,26,31,"365+375/1544",0.24287564766839378,"05h 49m 44+88/193s"]
[1185,2491,21,25,"365+605/2491",0.24287434765154556,"05h 49m 44+856/2491s"]
[901,1894,16,19,"365+230/947",0.24287222808870115,"05h 49m 44+152/947s"]
[1518,3191,27,32,"365+775/3191",0.2428705734879348,"05h 49m 44+56/3191s"]
[617,1297,11,13,"365+315/1297",0.24286815728604472,"05h 49m 43+1049/1297s"]
[1567,3294,28,33,"365+400/1647",0.24286581663630843,"05h 49m 43+37/61s"]
[950,1997,17,20,"365+485/1997",0.242864296444667,"05h 49m 43+949/1997s"]
[1283,2697,23,27,"365+655/2697",0.242862439747868,"05h 49m 43+283/899s"]
[1616,3397,29,34,"365+825/3397",0.2428613482484545,"05h 49m 43+749/3397s"]
[333,700,6,7,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[1714,3603,31,36,"365+875/3603",0.24285317790729946,"05h 49m 42+618/1201s"]
[1381,2903,25,29,"365+705/2903",0.2428522218394764,"05h 49m 42+1254/2903s"]
[1048,2203,19,22,"365+535/2203",0.24285065819337268,"05h 49m 42+654/2203s"]
[1763,3706,32,37,"365+450/1853",0.24284943335132217,"05h 49m 42+354/1853s"]
[715,1503,13,15,"365+365/1503",0.2428476380572189,"05h 49m 42+6/167s"]
[1812,3809,33,38,"365+925/3809",0.24284589131005513,"05h 49m 41+3371/3809s"]
[1097,2306,20,23,"365+280/1153",0.24284475281873374,"05h 49m 41+907/1153s"]
[1479,3109,27,31,"365+755/3109",0.24284335799292378,"05h 49m 41+2071/3109s"]
[1861,3912,34,39,"365+475/1956",0.24284253578732107,"05h 49m 41+97/163s"]
[382,803,7,8,"365+195/803",0.24283935242839352,"05h 49m 41+257/803s"]
[1577,3315,29,33,"365+161/663",0.24283559577677225,"05h 49m 40+220/221s"]
[1195,2512,22,25,"365+305/1256",0.2428343949044586,"05h 49m 40+140/157s"]
[813,1709,15,17,"365+415/1709",0.24283206553540082,"05h 49m 40+1180/1709s"]
[1244,2615,23,26,"365+127/523",0.24282982791587,"05h 49m 40+260/523s"]
[1675,3521,31,35,"365+855/3521",0.24282874183470604,"05h 49m 40+1420/3521s"]
[431,906,8,9,"365+110/453",0.24282560706401765,"05h 49m 40+20/151s"]
[1773,3727,33,37,"365+905/3727",0.24282264555943117,"05h 49m 39+3267/3727s"]
[1342,2821,25,28,"365+685/2821",0.24282169443459767,"05h 49m 39+2241/2821s"]
[911,1915,17,19,"365+93/383",0.24281984334203655,"05h 49m 39+243/383s"]
[1391,2924,26,29,"365+355/1462",0.24281805745554036,"05h 49m 39+351/731s"]
[1871,3933,35,39,"365+955/3933",0.24281718789727944,"05h 49m 39+177/437s"]
[480,1009,9,10,"365+245/1009",0.24281466798810702,"05h 49m 39+189/1009s"]
[1489,3130,28,31,"365+76/313",0.24281150159744408,"05h 49m 38+286/313s"]
[1009,2121,19,21,"365+515/2121",0.2428099952852428,"05h 49m 38+554/707s"]
[1538,3233,29,32,"365+785/3233",0.24280853696257346,"05h 49m 38+2126/3233s"]
[529,1112,10,11,"365+135/556",0.24280575539568344,"05h 49m 38+58/139s"]
[1636,3439,31,34,"365+835/3439",0.2428031404478046,"05h 49m 38+658/3439s"]
[1107,2327,21,23,"365+565/2327",0.24280189084658357,"05h 49m 38+194/2327s"]
[1685,3542,32,35,"365+430/1771",0.24280067758328627,"05h 49m 37+1733/1771s"]
[578,1215,11,12,"365+59/243",0.24279835390946503,"05h 49m 37+7/9s"]
[1783,3748,34,37,"365+455/1874",0.24279615795090714,"05h 49m 37+551/937s"]
[1205,2533,23,25,"365+615/2533",0.2427951046190288,"05h 49m 37+1259/2533s"]
[1832,3851,35,38,"365+935/3851",0.24279407945988055,"05h 49m 37+1573/3851s"]
[627,1318,12,13,"365+160/659",0.24279210925644917,"05h 49m 37+157/659s"]
[1303,2739,25,27,"365+665/2739",0.24278933917488135,"05h 49m 36+912/913s"]
[676,1421,13,14,"365+345/1421",0.24278676988036593,"05h 49m 36+1104/1421s"]
[1401,2945,27,29,"365+143/589",0.2427843803056027,"05h 49m 36+336/589s"]
[725,1524,14,15,"365+185/762",0.24278215223097113,"05h 49m 36+48/127s"]
[1499,3151,29,31,"365+765/3151",0.24278006981910505,"05h 49m 36+624/3151s"]
[774,1627,15,16,"365+395/1627",0.2427781192378611,"05h 49m 36+48/1627s"]
[1597,3357,31,33,"365+815/3357",0.24277628835269585,"05h 49m 35+325/373s"]
[823,1730,16,17,"365+42/173",0.24277456647398843,"05h 49m 35+125/173s"]
[1695,3563,33,35,"365+865/3563",0.24277294414818973,"05h 49m 35+2075/3563s"]
[872,1833,17,18,"365+445/1833",0.24277141298417895,"05h 49m 35+275/611s"]
[1793,3769,35,37,"365+915/3769",0.24276996550809232,"05h 49m 35+1225/3769s"]
[921,1936,18,19,"365+235/968",0.2427685950413223,"05h 49m 35+25/121s"]
[1891,3975,37,39,"365+193/795",0.24276729559748428,"05h 49m 35+5/53s"]
[970,2039,19,20,"365+495/2039",0.24276606179499755,"05h 49m 34+2014/2039s"]
[1019,2142,20,21,"365+260/1071",0.24276377217553688,"05h 49m 34+94/119s"]
[1068,2245,21,22,"365+109/449",0.24276169265033407,"05h 49m 34+274/449s"]
[1117,2348,22,23,"365+285/1174",0.24275979557069846,"05h 49m 34+262/587s"]
[1166,2451,23,24,"365+595/2451",0.2427580579355365,"05h 49m 34+242/817s"]
[1215,2554,24,25,"365+310/1277",0.2427564604541895,"05h 49m 34+202/1277s"]
[1264,2657,25,26,"365+645/2657",0.24275498682724878,"05h 49m 34+82/2657s"]
[1313,2760,26,27,"365+67/276",0.2427536231884058,"05h 49m 33+21/23s"]
[1362,2863,27,28,"365+695/2863",0.2427523576667831,"05h 49m 33+2301/2863s"]
[1411,2966,28,29,"365+360/1483",0.24275118004045854,"05h 49m 33+1041/1483s"]
[1460,3069,29,30,"365+745/3069",0.24275008145975888,"05h 49m 33+207/341s"]
[1509,3172,30,31,"365+385/1586",0.24274905422446405,"05h 49m 33+411/793s"]
[1558,3275,31,32,"365+159/655",0.24274809160305344,"05h 49m 33+57/131s"]
[1607,3378,32,33,"365+410/1689",0.2427471876850207,"05h 49m 33+201/563s"]
[1656,3481,33,34,"365+845/3481",0.24274633725940822,"05h 49m 33+987/3481s"]
[1705,3584,34,35,"365+435/1792",0.24274553571428573,"05h 49m 33+3/14s"]
[1754,3687,35,36,"365+895/3687",0.2427447789530784,"05h 49m 33+183/1229s"]
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[898,1887,43,12,"365+455/1887",0.24112347641759407,"05h 47m 13+43/629s"]
[1273,2675,61,17,"365+129/535",0.2411214953271028,"05h 47m 12+96/107s"]
[1648,3463,79,22,"365+835/3463",0.2411204158244297,"05h 47m 12+2784/3463s"]
[375,788,18,5,"365+95/394",0.24111675126903553,"05h 47m 12+96/197s"]
[1727,3629,83,23,"365+875/3629",0.24111325434003858,"05h 47m 12+672/3629s"]
[1352,2841,65,18,"365+685/2841",0.24111228440689897,"05h 47m 12+96/947s"]
[977,2053,47,13,"365+495/2053",0.24111056989771068,"05h 47m 11+1957/2053s"]
[1579,3318,76,21,"365+400/1659",0.24110910186859555,"05h 47m 11+457/553s"]
[602,1265,29,8,"365+61/253",0.24110671936758893,"05h 47m 11+157/253s"]
[1431,3007,69,19,"365+725/3007",0.2411040904556036,"05h 47m 11+1183/3007s"]
[829,1742,40,11,"365+210/871",0.24110218140068887,"05h 47m 11+199/871s"]
[1885,3961,91,25,"365+955/3961",0.2411007321383489,"05h 47m 11+409/3961s"]
[1056,2219,51,14,"365+535/2219",0.24109959441189724,"05h 47m 11+11/2219s"]
[1283,2696,62,17,"365+325/1348",0.2410979228486647,"05h 47m 10+290/337s"]
[1510,3173,73,20,"365+765/3173",0.24109675386069965,"05h 47m 10+2410/3173s"]
[1737,3650,84,23,"365+88/365",0.2410958904109589,"05h 47m 10+50/73s"]
[227,477,11,3,"365+115/477",0.24109014675052412,"05h 47m 10+10/53s"]
[1895,3982,92,25,"365+480/1991",0.24108488196885988,"05h 47m 9+1461/1991s"]
[1668,3505,81,22,"365+169/701",0.24108416547788872,"05h 47m 9+471/701s"]
[1441,3028,70,19,"365+365/1514",0.24108322324966974,"05h 47m 9+447/757s"]
[1214,2551,59,16,"365+615/2551",0.24108192865542924,"05h 47m 9+1221/2551s"]
[987,2074,48,13,"365+250/1037",0.24108003857280616,"05h 47m 9+327/1037s"]
[1747,3671,85,23,"365+885/3671",0.2410787251430128,"05h 47m 9+741/3671s"]
[760,1597,37,10,"365+385/1597",0.24107701941139636,"05h 47m 9+87/1597s"]
[1293,2717,63,17,"365+655/2717",0.24107471475892528,"05h 47m 8+2324/2717s"]
[1826,3837,89,24,"365+925/3837",0.24107375553818086,"05h 47m 8+988/1279s"]
[533,1120,26,7,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[1372,2883,67,18,"365+695/2883",0.2410683315990288,"05h 47m 8+292/961s"]
[839,1763,41,11,"365+425/1763",0.2410663641520136,"05h 47m 8+236/1763s"]
[1145,2406,56,15,"365+290/1203",0.24106400665004157,"05h 47m 7+373/401s"]
[1451,3049,71,19,"365+735/3049",0.24106264348966874,"05h 47m 7+2477/3049s"]
[1757,3692,86,23,"365+445/1846",0.24106175514626219,"05h 47m 7+679/923s"]
[306,643,15,4,"365+155/643",0.2410575427682737,"05h 47m 7+239/643s"]
[1609,3381,79,21,"365+815/3381",0.24105294291629695,"05h 47m 6+1098/1127s"]
[1303,2738,64,17,"365+330/1369",0.2410518626734843,"05h 47m 6+1206/1369s"]
[997,2095,49,13,"365+101/419",0.24105011933174225,"05h 47m 6+306/419s"]
[1688,3547,83,22,"365+855/3547",0.24104877361150268,"05h 47m 6+2178/3547s"]
[691,1452,34,9,"365+175/726",0.24104683195592286,"05h 47m 6+54/121s"]
[1767,3713,87,23,"365+895/3713",0.24104497710746028,"05h 47m 6+1062/3713s"]
[1076,2261,53,14,"365+545/2261",0.2410437859354268,"05h 47m 6+414/2261s"]
[1461,3070,72,19,"365+74/307",0.24104234527687296,"05h 47m 6+18/307s"]
[1846,3879,91,24,"365+935/3879",0.24104150554266562,"05h 47m 5+425/431s"]
[385,809,19,5,"365+195/809",0.24103831891223734,"05h 47m 5+575/809s"]
[1619,3402,80,21,"365+410/1701",0.24103468547912993,"05h 47m 5+25/63s"]
[1234,2593,61,16,"365+625/2593",0.24103355187042036,"05h 47m 5+775/2593s"]
[849,1784,42,11,"365+215/892",0.24103139013452915,"05h 47m 5+25/223s"]
[1313,2759,65,17,"365+665/2759",0.2410293584632113,"05h 47m 4+2584/2759s"]
[1777,3734,88,23,"365+450/1867",0.241028387787895,"05h 47m 4+1592/1867s"]
[464,975,23,6,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[1471,3091,73,19,"365+745/3091",0.2410223228728567,"05h 47m 4+1016/3091s"]
[1007,2116,50,13,"365+255/1058",0.24102079395085066,"05h 47m 4+104/529s"]
[1550,3257,77,20,"365+785/3257",0.2410193429536383,"05h 47m 4+232/3257s"]
[543,1141,27,7,"365+275/1141",0.24101665205959685,"05h 47m 3+957/1141s"]
[1708,3589,85,22,"365+865/3589",0.24101421008637502,"05h 47m 3+2253/3589s"]
[1165,2448,58,15,"365+295/1224",0.24101307189542484,"05h 47m 3+9/17s"]
[1787,3755,89,23,"365+181/751",0.24101198402130491,"05h 47m 3+327/751s"]
[622,1307,31,8,"365+315/1307",0.2410099464422341,"05h 47m 3+339/1307s"]
[1323,2780,66,17,"365+67/278",0.24100719424460432,"05h 47m 3+3/139s"]
[701,1473,35,9,"365+355/1473",0.24100475220638154,"05h 47m 2+398/491s"]
[1481,3112,74,19,"365+375/1556",0.2410025706940874,"05h 47m 2+242/389s"]
[780,1639,39,10,"365+395/1639",0.2410006101281269,"05h 47m 2+742/1639s"]
[1639,3444,82,21,"365+415/1722",0.24099883855981416,"05h 47m 2+86/287s"]
[859,1805,43,11,"365+87/361",0.2409972299168975,"05h 47m 2+58/361s"]
[1797,3776,90,23,"365+455/1888",0.2409957627118644,"05h 47m 2+2/59s"]
[938,1971,47,12,"365+475/1971",0.24099441907661084,"05h 47m 1+67/73s"]
[1017,2137,51,13,"365+515/2137",0.24099204492278894,"05h 47m 1+1523/2137s"]
[1096,2303,55,14,"365+555/2303",0.2409900130264872,"05h 47m 1+1237/2303s"]
[1175,2469,59,15,"365+595/2469",0.24098825435398946,"05h 47m 1+317/823s"]
[1254,2635,63,16,"365+127/527",0.2409867172675522,"05h 47m 1+133/527s"]
[1333,2801,67,17,"365+675/2801",0.24098536237058193,"05h 47m 1+379/2801s"]
[1412,2967,71,18,"365+715/2967",0.24098415908324908,"05h 47m 1+31/989s"]
[1491,3133,75,19,"365+755/3133",0.24098308330673476,"05h 47m 2940/3133s"]
[1570,3299,79,20,"365+795/3299",0.24098211579266443,"05h 47m 2820/3299s"]
[1649,3465,83,21,"365+167/693",0.240981240981241,"05h 47m 60/77s"]
[1728,3631,87,22,"365+875/3631",0.24098044615808317,"05h 47m 2580/3631s"]
[1807,3797,91,23,"365+915/3797",0.24097972083223598,"05h 47m 2460/3797s"]
[1886,3963,95,24,"365+955/3963",0.24097905627050215,"05h 47m 780/1321s"]
[10,21,1,0,"365+5/21",0.23809523809523808,"05h 42m 51+3/7s"]

{"sheet":"LM28","index":10,"n_rows":371,"n_cols":7,"rows_kept":371,"merged":[[6,2,6,3],[6,5,6,6]]}
["Perpetual Leap Cycles where a Short (Common) Year has 364 and a Long (Leap) Year 392 days (maximum of 4000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 7 long in 158 years and 2 long in 45 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  If the number of days per cycle MOD 10 = 0 then each cycle starts on the same weekday."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","158","45","Mean Year","Decimal","Exact Time"]
[2,45,0,1,"365+11/45",0.24444444444444444,"05h 52m 0s"]
[139,3131,7,45,"365+761/3131",0.2430533375918237,"05h 49m 59+2531/3131s"]
[99,2230,5,32,"365+271/1115",0.2430493273542601,"05h 49m 59+103/223s"]
[158,3559,8,51,"365+865/3559",0.24304579938184884,"05h 49m 59+559/3559s"]
[59,1329,3,19,"365+323/1329",0.24303987960872836,"05h 49m 58+286/443s"]
[137,3086,7,44,"365+375/1543",0.24303305249513935,"05h 49m 58+86/1543s"]
[78,1757,4,25,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[175,3942,9,56,"365+479/1971",0.24302384576357178,"05h 49m 57+19/73s"]
[97,2185,5,31,"365+531/2185",0.24302059496567505,"05h 49m 56+428/437s"]
[116,2613,6,37,"365+635/2613",0.2430156907768848,"05h 49m 56+484/871s"]
[135,3041,7,43,"365+739/3041",0.2430121670503124,"05h 49m 56+764/3041s"]
[154,3469,8,49,"365+843/3469",0.24300951282790428,"05h 49m 56+76/3469s"]
[173,3897,9,55,"365+947/3897",0.24300744162176033,"05h 49m 55+365/433s"]
[19,428,1,6,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[169,3807,9,53,"365+925/3807",0.24297346992382454,"05h 49m 52+128/141s"]
[150,3379,8,47,"365+821/3379",0.2429712932820361,"05h 49m 52+2432/3379s"]
[131,2951,7,41,"365+717/2951",0.24296848525923415,"05h 49m 52+1408/2951s"]
[112,2523,6,35,"365+613/2523",0.24296472453428458,"05h 49m 52+128/841s"]
[93,2095,5,29,"365+509/2095",0.24295942720763722,"05h 49m 51+291/419s"]
[167,3762,9,52,"365+457/1881",0.2429558745348219,"05h 49m 51+81/209s"]
[74,1667,4,23,"365+405/1667",0.2429514097180564,"05h 49m 51+3/1667s"]
[129,2906,7,40,"365+353/1453",0.2429456297315898,"05h 49m 50+730/1453s"]
[55,1239,3,17,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[146,3289,8,45,"365+799/3289",0.24293098206141683,"05h 49m 49+779/3289s"]
[91,2050,5,28,"365+249/1025",0.24292682926829268,"05h 49m 48+36/41s"]
[127,2861,7,39,"365+695/2861",0.24292205522544566,"05h 49m 48+1332/2861s"]
[163,3672,9,50,"365+223/918",0.2429193899782135,"05h 49m 48+4/17s"]
[36,811,2,11,"365+197/811",0.24290998766954378,"05h 49m 47+343/811s"]
[161,3627,9,49,"365+881/3627",0.2429004687069203,"05h 49m 46+242/403s"]
[125,2816,7,38,"365+171/704",0.24289772727272727,"05h 49m 46+4/11s"]
[89,2005,5,27,"365+487/2005",0.2428927680798005,"05h 49m 45+375/401s"]
[142,3199,8,43,"365+111/457",0.24288840262582057,"05h 49m 45+255/457s"]
[53,1194,3,16,"365+145/597",0.24288107202680068,"05h 49m 44+184/199s"]
[176,3965,10,53,"365+963/3965",0.242875157629256,"05h 49m 44+328/793s"]
[123,2771,7,37,"365+673/2771",0.24287260916636594,"05h 49m 44+536/2771s"]
[70,1577,4,21,"365+383/1577",0.24286620164870007,"05h 49m 43+1009/1577s"]
[157,3537,9,47,"365+859/3537",0.2428611817924795,"05h 49m 43+27/131s"]
[87,1960,5,26,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[104,2343,6,31,"365+569/2343",0.24285104566794707,"05h 49m 42+258/781s"]
[121,2726,7,36,"365+331/1363",0.24284666177549524,"05h 49m 41+1297/1363s"]
[138,3109,8,41,"365+755/3109",0.24284335799292378,"05h 49m 41+2071/3109s"]
[155,3492,9,46,"365+212/873",0.24284077892325315,"05h 49m 41+43/97s"]
[172,3875,10,51,"365+941/3875",0.24283870967741936,"05h 49m 41+41/155s"]
[17,383,1,5,"365+93/383",0.24281984334203655,"05h 49m 39+243/383s"]
[168,3785,10,49,"365+919/3785",0.2428005284015852,"05h 49m 37+731/757s"]
[151,3402,9,44,"365+59/243",0.24279835390946503,"05h 49m 37+7/9s"]
[134,3019,8,39,"365+733/3019",0.2427956276912885,"05h 49m 37+1637/3019s"]
[117,2636,7,34,"365+160/659",0.24279210925644917,"05h 49m 37+157/659s"]
[100,2253,6,29,"365+547/2253",0.2427873945849978,"05h 49m 36+624/751s"]
[83,1870,5,24,"365+227/935",0.2427807486631016,"05h 49m 36+48/187s"]
[149,3357,9,43,"365+815/3357",0.24277628835269585,"05h 49m 35+325/373s"]
[66,1487,4,19,"365+361/1487",0.24277067921990586,"05h 49m 35+575/1487s"]
[115,2591,7,33,"365+629/2591",0.24276341181011193,"05h 49m 34+1966/2591s"]
[164,3695,10,47,"365+897/3695",0.24276048714479026,"05h 49m 34+374/739s"]
[49,1104,3,14,"365+67/276",0.2427536231884058,"05h 49m 33+21/23s"]
[130,2929,8,37,"365+711/2929",0.24274496415158758,"05h 49m 33+483/2929s"]
[81,1825,5,23,"365+443/1825",0.24273972602739727,"05h 49m 32+52/73s"]
[113,2546,7,32,"365+309/1273",0.24273369992144542,"05h 49m 32+244/1273s"]
[145,3267,9,41,"365+793/3267",0.24273033363942456,"05h 49m 31+109/121s"]
[177,3988,11,50,"365+242/997",0.242728184553661,"05h 49m 31+713/997s"]
[32,721,2,9,"365+25/103",0.24271844660194175,"05h 49m 30+90/103s"]
[175,3943,11,49,"365+957/3943",0.2427085975145828,"05h 49m 30+90/3943s"]
[143,3222,9,40,"365+391/1611",0.24270639354438237,"05h 49m 29+149/179s"]
[111,2501,7,31,"365+607/2501",0.242702918832467,"05h 49m 29+1331/2501s"]
[79,1780,5,22,"365+108/445",0.24269662921348314,"05h 49m 28+88/89s"]
[126,2839,8,35,"365+689/2839",0.24269108841141246,"05h 49m 28+1448/2839s"]
[173,3898,11,48,"365+473/1949",0.2426885582349923,"05h 49m 28+568/1949s"]
[47,1059,3,13,"365+257/1059",0.24268177525967893,"05h 49m 27+249/353s"]
[156,3515,10,43,"365+853/3515",0.24267425320056898,"05h 49m 27+39/703s"]
[109,2456,7,30,"365+149/614",0.24267100977198697,"05h 49m 26+238/307s"]
[171,3853,11,47,"365+935/3853",0.24266805086945237,"05h 49m 26+2002/3853s"]
[62,1397,4,17,"365+339/1397",0.24266284896206156,"05h 49m 26+98/1397s"]
[139,3132,9,38,"365+190/783",0.24265644955300128,"05h 49m 25+15/29s"]
[77,1735,5,21,"365+421/1735",0.2426512968299712,"05h 49m 25+25/347s"]
[169,3808,11,46,"365+33/136",0.2426470588235294,"05h 49m 24+12/17s"]
[92,2073,6,25,"365+503/2073",0.24264351181862034,"05h 49m 24+276/691s"]
[107,2411,7,29,"365+585/2411",0.2426379095810867,"05h 49m 23+2207/2411s"]
[122,2749,8,33,"365+667/2749",0.24263368497635504,"05h 49m 23+1513/2749s"]
[137,3087,9,37,"365+107/441",0.24263038548752835,"05h 49m 23+13/49s"]
[152,3425,10,41,"365+831/3425",0.24262773722627737,"05h 49m 23+5/137s"]
[167,3763,11,45,"365+913/3763",0.24262556470900876,"05h 49m 22+3194/3763s"]
[15,338,1,4,"365+41/169",0.24260355029585798,"05h 49m 20+160/169s"]
[163,3673,11,43,"365+891/3673",0.24258099646065887,"05h 49m 18+3666/3673s"]
[148,3335,10,39,"365+809/3335",0.24257871064467765,"05h 49m 18+534/667s"]
[133,2997,9,35,"365+727/2997",0.2425759092425759,"05h 49m 18+62/111s"]
[118,2659,8,31,"365+645/2659",0.2425723956374577,"05h 49m 18+678/2659s"]
[103,2321,7,27,"365+563/2321",0.24256785868160274,"05h 49m 17+2003/2321s"]
[88,1983,6,23,"365+481/1983",0.24256177508825014,"05h 49m 17+223/661s"]
[161,3628,11,42,"365+220/907",0.24255788313120177,"05h 49m 17+1/907s"]
[73,1645,5,19,"365+57/235",0.2425531914893617,"05h 49m 16+28/47s"]
[131,2952,9,34,"365+179/738",0.24254742547425473,"05h 49m 16+4/41s"]
[58,1307,4,15,"365+317/1307",0.24254016832440703,"05h 49m 15+615/1307s"]
[159,3583,11,41,"365+869/3583",0.24253418922690484,"05h 49m 14+3418/3583s"]
[101,2276,7,26,"365+138/569",0.24253075571177504,"05h 49m 14+374/569s"]
[144,3245,10,37,"365+787/3245",0.24252696456086287,"05h 49m 14+214/649s"]
[43,969,3,11,"365+235/969",0.24251805985552116,"05h 49m 13+181/323s"]
[157,3538,11,40,"365+429/1769",0.24250989259468628,"05h 49m 12+1512/1769s"]
[114,2569,8,29,"365+89/367",0.24250681198910082,"05h 49m 12+216/367s"]
[71,1600,5,18,"365+97/400",0.2425,"05h 49m 12s"]
[170,3831,12,43,"365+929/3831",0.24249543200208823,"05h 49m 11+773/1277s"]
[99,2231,7,25,"365+541/2231",0.24249215598386373,"05h 49m 11+719/2231s"]
[127,2862,9,32,"365+347/1431",0.24248777078965758,"05h 49m 10+50/53s"]
[155,3493,11,39,"365+121/499",0.24248496993987975,"05h 49m 10+350/499s"]
[28,631,2,7,"365+153/631",0.24247226624405704,"05h 49m 9+381/631s"]
[153,3448,11,38,"365+209/862",0.24245939675174014,"05h 49m 8+212/431s"]
[125,2817,9,31,"365+683/2817",0.24245651402200924,"05h 49m 8+76/313s"]
[97,2186,7,24,"365+265/1093",0.242451967063129,"05h 49m 7+929/1093s"]
[166,3741,12,41,"365+907/3741",0.24244854317027534,"05h 49m 7+691/1247s"]
[69,1555,5,17,"365+377/1555",0.24244372990353696,"05h 49m 7+43/311s"]
[110,2479,8,27,"365+601/2479",0.24243646631706334,"05h 49m 6+1266/2479s"]
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[174,3925,20,17,"365+947/3925",0.24127388535031846,"05h 47m 26+10/157s"]
[113,2549,13,11,"365+615/2549",0.24127108670066694,"05h 47m 25+2095/2549s"]
[165,3722,19,16,"365+449/1861",0.2412681354110693,"05h 47m 25+1055/1861s"]
[52,1173,6,5,"365+283/1173",0.2412617220801364,"05h 47m 25+5/391s"]
[147,3316,17,14,"365+200/829",0.24125452352231605,"05h 47m 24+324/829s"]
[95,2143,11,9,"365+517/2143",0.24125058329444704,"05h 47m 24+108/2143s"]
[138,3113,16,13,"365+751/3113",0.2412463861227112,"05h 47m 23+2141/3113s"]
[43,970,5,4,"365+117/485",0.24123711340206186,"05h 47m 22+86/97s"]
[163,3677,19,15,"365+887/3677",0.24122926298613,"05h 47m 22+766/3677s"]
[120,2707,14,11,"365+653/2707",0.2412264499445881,"05h 47m 21+2613/2707s"]
[77,1737,9,7,"365+419/1737",0.24122049510650548,"05h 47m 21+87/193s"]
[111,2504,13,10,"365+151/626",0.24121405750798722,"05h 47m 20+280/313s"]
[145,3271,17,13,"365+789/3271",0.24121063894833383,"05h 47m 20+1960/3271s"]
[34,767,4,3,"365+185/767",0.24119947848761408,"05h 47m 19+487/767s"]
[161,3632,19,14,"365+219/908",0.24118942731277532,"05h 47m 18+174/227s"]
[127,2865,15,11,"365+691/2865",0.2411867364746946,"05h 47m 18+102/191s"]
[93,2098,11,8,"365+253/1049",0.24118207816968543,"05h 47m 18+138/1049s"]
[152,3429,18,13,"365+827/3429",0.24117818606007582,"05h 47m 17+101/127s"]
[59,1331,7,5,"365+321/1331",0.24117205108940645,"05h 47m 17+353/1331s"]
[143,3226,17,12,"365+389/1613",0.2411655300681959,"05h 47m 16+1132/1613s"]
[84,1895,10,7,"365+457/1895",0.24116094986807388,"05h 47m 16+116/379s"]
[109,2459,13,9,"365+593/2459",0.24115494103294022,"05h 47m 15+1935/2459s"]
[134,3023,16,11,"365+729/3023",0.24115117433013564,"05h 47m 15+1395/3023s"]
[159,3587,19,13,"365+865/3587",0.2411485921382771,"05h 47m 15+855/3587s"]
[25,564,3,2,"365+34/141",0.24113475177304963,"05h 47m 14+2/47s"]
[166,3745,20,13,"365+129/535",0.2411214953271028,"05h 47m 12+96/107s"]
[141,3181,17,11,"365+767/3181",0.2411191449229802,"05h 47m 12+2208/3181s"]
[116,2617,14,9,"365+631/2617",0.2411157814291173,"05h 47m 12+1056/2617s"]
[91,2053,11,7,"365+495/2053",0.24111056989771068,"05h 47m 11+1957/2053s"]
[157,3542,19,12,"365+61/253",0.24110671936758893,"05h 47m 11+157/253s"]
[66,1489,8,5,"365+359/1489",0.24110141034251176,"05h 47m 11+241/1489s"]
[173,3903,21,13,"365+941/3903",0.24109659236484754,"05h 47m 10+970/1301s"]
[107,2414,13,8,"365+291/1207",0.24109362054681027,"05h 47m 10+590/1207s"]
[148,3339,18,11,"365+115/477",0.24109014675052412,"05h 47m 10+10/53s"]
[41,925,5,3,"365+223/925",0.2410810810810811,"05h 47m 9+15/37s"]
[139,3136,17,10,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[98,2211,12,7,"365+533/2211",0.24106739032112168,"05h 47m 8+164/737s"]
[155,3497,19,11,"365+843/3497",0.24106376894480983,"05h 47m 7+3181/3497s"]
[57,1286,7,4,"365+155/643",0.2410575427682737,"05h 47m 7+239/643s"]
[130,2933,16,9,"365+101/419",0.24105011933174225,"05h 47m 6+306/419s"]
[73,1647,9,5,"365+397/1647",0.24104432301153614,"05h 47m 6+14/61s"]
[162,3655,20,11,"365+881/3655",0.24103967168262655,"05h 47m 5+605/731s"]
[89,2008,11,6,"365+121/502",0.2410358565737052,"05h 47m 5+125/251s"]
[105,2369,13,7,"365+571/2369",0.24102997045166738,"05h 47m 4+2344/2369s"]
[121,2730,15,8,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[137,3091,17,9,"365+745/3091",0.2410223228728567,"05h 47m 4+1016/3091s"]
[153,3452,19,10,"365+208/863",0.2410196987253766,"05h 47m 4+88/863s"]
[169,3813,21,11,"365+919/3813",0.24101757146603725,"05h 47m 3+1167/1271s"]
[16,361,2,1,"365+87/361",0.2409972299168975,"05h 47m 2+58/361s"]
[167,3768,21,10,"365+227/942",0.24097664543524416,"05h 47m 60/157s"]
[151,3407,19,9,"365+821/3407",0.2409744643381274,"05h 47m 660/3407s"]
[7,158,1,0,"365+19/79",0.24050632911392406,"05h 46m 19+59/79s"]

{"sheet":"LM35","index":11,"n_rows":299,"n_cols":7,"rows_kept":299,"merged":[[6,2,6,3],[6,5,6,6]]}
["Perpetual Leap Cycles where a Short (Common) Year has 350 and a Long (Leap) Year 385 days (maximum of 4000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 10 long in 23 years and 17 long in 39 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  If the number of days per cycle MOD 10 = 0 then each cycle starts on the same weekday."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","23","39","Mean Year","Decimal","Exact Time"]
[17,39,0,1,"365+10/39",0.2564102564102564,"06h 09m 13+11/13s"]
[439,1008,15,17,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[1550,3559,53,60,"365+865/3559",0.24304579938184884,"05h 49m 59+559/3559s"]
[1111,2551,38,43,"365+620/2551",0.24304194433555468,"05h 49m 58+2102/2551s"]
[672,1543,23,26,"365+375/1543",0.24303305249513935,"05h 49m 58+86/1543s"]
[1577,3621,54,61,"365+880/3621",0.24302678818006077,"05h 49m 57+621/1207s"]
[905,2078,31,35,"365+505/2078",0.24302213666987488,"05h 49m 57+117/1039s"]
[1138,2613,39,44,"365+635/2613",0.2430156907768848,"05h 49m 56+484/871s"]
[1371,3148,47,53,"365+765/3148",0.24301143583227447,"05h 49m 56+148/787s"]
[1604,3683,55,62,"365+895/3683",0.24300841705131687,"05h 49m 55+3415/3683s"]
[233,535,8,9,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[1658,3807,57,64,"365+925/3807",0.24297346992382454,"05h 49m 52+128/141s"]
[1425,3272,49,55,"365+795/3272",0.24297066014669927,"05h 49m 52+272/409s"]
[1192,2737,41,46,"365+95/391",0.24296675191815856,"05h 49m 52+128/391s"]
[959,2202,33,37,"365+535/2202",0.242960944595822,"05h 49m 51+303/367s"]
[1685,3869,58,65,"365+940/3869",0.24295683639183252,"05h 49m 51+1821/3869s"]
[726,1667,25,28,"365+405/1667",0.2429514097180564,"05h 49m 51+3/1667s"]
[1219,2799,42,47,"365+680/2799",0.24294390853876385,"05h 49m 50+110/311s"]
[1712,3931,59,66,"365+955/3931",0.24294072755024168,"05h 49m 50+310/3931s"]
[493,1132,17,19,"365+275/1132",0.24293286219081273,"05h 49m 49+113/283s"]
[1739,3993,60,67,"365+970/3993",0.2429251189581768,"05h 49m 48+972/1331s"]
[1246,2861,43,48,"365+695/2861",0.24292205522544566,"05h 49m 48+1332/2861s"]
[753,1729,26,29,"365+60/247",0.242914979757085,"05h 49m 47+211/247s"]
[1013,2326,35,39,"365+565/2326",0.24290627687016336,"05h 49m 47+119/1163s"]
[1273,2923,44,49,"365+710/2923",0.24290112897707836,"05h 49m 46+1922/2923s"]
[1533,3520,53,59,"365+171/704",0.24289772727272727,"05h 49m 46+4/11s"]
[260,597,9,10,"365+145/597",0.24288107202680068,"05h 49m 44+184/199s"]
[1587,3644,55,61,"365+885/3644",0.2428649835345774,"05h 49m 43+487/911s"]
[1327,3047,46,51,"365+740/3047",0.24286183130948474,"05h 49m 43+799/3047s"]
[1067,2450,37,41,"365+17/70",0.24285714285714285,"05h 49m 42+6/7s"]
[807,1853,28,31,"365+450/1853",0.24284943335132217,"05h 49m 42+354/1853s"]
[1354,3109,47,52,"365+755/3109",0.24284335799292378,"05h 49m 41+2071/3109s"]
[547,1256,19,21,"365+305/1256",0.2428343949044586,"05h 49m 40+140/157s"]
[1381,3171,48,53,"365+110/453",0.24282560706401765,"05h 49m 40+20/151s"]
[834,1915,29,32,"365+93/383",0.24281984334203655,"05h 49m 39+243/383s"]
[1121,2574,39,43,"365+625/2574",0.24281274281274282,"05h 49m 39+3/143s"]
[1408,3233,49,54,"365+785/3233",0.24280853696257346,"05h 49m 38+2126/3233s"]
[1695,3892,59,65,"365+135/556",0.24280575539568344,"05h 49m 38+58/139s"]
[287,659,10,11,"365+160/659",0.24279210925644917,"05h 49m 37+157/659s"]
[1462,3357,51,56,"365+815/3357",0.24277628835269585,"05h 49m 35+325/373s"]
[1175,2698,41,45,"365+655/2698",0.24277242401779095,"05h 49m 35+725/1349s"]
[888,2039,31,34,"365+495/2039",0.24276606179499755,"05h 49m 34+2014/2039s"]
[1489,3419,52,57,"365+830/3419",0.2427610412401287,"05h 49m 34+1894/3419s"]
[601,1380,21,23,"365+67/276",0.2427536231884058,"05h 49m 33+21/23s"]
[1516,3481,53,58,"365+845/3481",0.24274633725940822,"05h 49m 33+987/3481s"]
[915,2101,32,35,"365+510/2101",0.2427415516420752,"05h 49m 32+1828/2101s"]
[1229,2822,43,47,"365+685/2822",0.24273564847625798,"05h 49m 32+508/1411s"]
[1543,3543,54,59,"365+860/3543",0.24273214789726222,"05h 49m 32+68/1181s"]
[314,721,11,12,"365+25/103",0.24271844660194175,"05h 49m 30+90/103s"]
[1597,3667,56,61,"365+890/3667",0.24270520861739842,"05h 49m 29+2677/3667s"]
[1283,2946,45,49,"365+715/2946",0.24270196877121522,"05h 49m 29+221/491s"]
[969,2225,34,37,"365+108/445",0.24269662921348314,"05h 49m 28+88/89s"]
[1624,3729,57,62,"365+905/3729",0.24269241083400375,"05h 49m 28+776/1243s"]
[655,1504,23,25,"365+365/1504",0.24268617021276595,"05h 49m 28+4/47s"]
[1651,3791,58,63,"365+920/3791",0.24268003165391716,"05h 49m 27+2103/3791s"]
[996,2287,35,38,"365+555/2287",0.24267599475295146,"05h 49m 27+471/2287s"]
[1337,3070,47,51,"365+149/614",0.24267100977198697,"05h 49m 26+238/307s"]
[1678,3853,59,64,"365+935/3853",0.24266805086945237,"05h 49m 26+2002/3853s"]
[341,783,12,13,"365+190/783",0.24265644955300128,"05h 49m 25+15/29s"]
[1732,3977,61,66,"365+965/3977",0.24264520995725422,"05h 49m 24+2172/3977s"]
[1391,3194,49,53,"365+775/3194",0.24264245460237946,"05h 49m 24+492/1597s"]
[1050,2411,37,40,"365+585/2411",0.2426379095810867,"05h 49m 23+2207/2411s"]
[709,1628,25,27,"365+395/1628",0.24262899262899262,"05h 49m 23+59/407s"]
[1077,2473,38,41,"365+600/2473",0.2426202992317024,"05h 49m 22+974/2473s"]
[1445,3318,51,55,"365+115/474",0.24261603375527427,"05h 49m 22+2/79s"]
[368,845,13,14,"365+41/169",0.24260355029585798,"05h 49m 20+160/169s"]
[1499,3442,53,57,"365+835/3442",0.24259151656013944,"05h 49m 19+1561/1721s"]
[1131,2597,40,43,"365+90/371",0.24258760107816713,"05h 49m 19+211/371s"]
[763,1752,27,29,"365+425/1752",0.2425799086757991,"05h 49m 18+66/73s"]
[1158,2659,41,44,"365+645/2659",0.2425723956374577,"05h 49m 18+678/2659s"]
[1553,3566,55,59,"365+865/3566",0.24256870443073472,"05h 49m 17+1669/1783s"]
[395,907,14,15,"365+220/907",0.24255788313120177,"05h 49m 17+1/907s"]
[1607,3690,57,61,"365+179/738",0.24254742547425473,"05h 49m 16+4/41s"]
[1212,2783,43,46,"365+675/2783",0.24254401724757457,"05h 49m 15+2235/2783s"]
[817,1876,29,31,"365+65/268",0.24253731343283583,"05h 49m 15+15/67s"]
[1239,2845,44,47,"365+138/569",0.24253075571177504,"05h 49m 14+374/569s"]
[1661,3814,59,63,"365+925/3814",0.24252753015207132,"05h 49m 14+722/1907s"]
[422,969,15,16,"365+235/969",0.24251805985552116,"05h 49m 13+181/323s"]
[1715,3938,61,65,"365+955/3938",0.2425088877602844,"05h 49m 12+1512/1969s"]
[1293,2969,46,49,"365+720/2969",0.24250589424048502,"05h 49m 12+1512/2969s"]
[871,2000,31,33,"365+97/400",0.2425,"05h 49m 12s"]
[1320,3031,47,50,"365+105/433",0.24249422632794457,"05h 49m 11+217/433s"]
[449,1031,16,17,"365+250/1031",0.24248302618816683,"05h 49m 10+550/1031s"]
[1374,3155,49,52,"365+153/631",0.24247226624405704,"05h 49m 9+381/631s"]
[925,2124,33,35,"365+515/2124",0.24246704331450095,"05h 49m 9+9/59s"]
[1401,3217,50,53,"365+780/3217",0.24246192104445136,"05h 49m 8+2284/3217s"]
[476,1093,17,18,"365+265/1093",0.242451967063129,"05h 49m 7+929/1093s"]
[1455,3341,52,55,"365+810/3341",0.24244238252020353,"05h 49m 7+73/3341s"]
[979,2248,35,37,"365+545/2248",0.24243772241992884,"05h 49m 6+174/281s"]
[1482,3403,53,56,"365+825/3403",0.2424331472230385,"05h 49m 6+762/3403s"]
[503,1155,18,19,"365+8/33",0.24242424242424243,"05h 49m 5+5/11s"]
[1536,3527,55,58,"365+855/3527",0.24241565069464133,"05h 49m 4+2512/3527s"]
[1033,2372,37,39,"365+575/2372",0.2424114671163575,"05h 49m 4+208/593s"]
[1563,3589,56,59,"365+870/3589",0.24240735580941766,"05h 49m 3+3573/3589s"]
[530,1217,19,20,"365+295/1217",0.24239934264585045,"05h 49m 3+369/1217s"]
[1617,3713,58,61,"365+900/3713",0.24239159709130084,"05h 49m 2+2354/3713s"]
[1087,2496,39,41,"365+605/2496",0.2423878205128205,"05h 49m 2+4/13s"]
[1644,3775,59,62,"365+183/755",0.2423841059602649,"05h 49m 1+149/151s"]
[557,1279,20,21,"365+310/1279",0.24237685691946834,"05h 49m 1+461/1279s"]
[1698,3899,61,64,"365+135/557",0.24236983842010773,"05h 49m 420/557s"]
[1141,2620,41,43,"365+127/524",0.24236641221374045,"05h 49m 60/131s"]
[1725,3961,62,65,"365+960/3961",0.24236303963645545,"05h 49m 660/3961s"]
[584,1341,21,22,"365+325/1341",0.24235645041014167,"05h 48m 59+89/149s"]
[1195,2744,43,45,"365+95/392",0.2423469387755102,"05h 48m 58+38/49s"]
[611,1403,22,23,"365+340/1403",0.24233784746970777,"05h 48m 57+1389/1403s"]
[1249,2868,45,47,"365+695/2868",0.24232914923291493,"05h 48m 57+57/239s"]
[638,1465,23,24,"365+71/293",0.24232081911262798,"05h 48m 56+152/293s"]
[1303,2992,47,49,"365+725/2992",0.24231283422459893,"05h 48m 55+155/187s"]
[665,1527,24,25,"365+370/1527",0.24230517354289458,"05h 48m 55+85/509s"]
[1357,3116,49,51,"365+755/3116",0.24229781771501926,"05h 48m 54+414/779s"]
[692,1589,25,26,"365+55/227",0.2422907488986784,"05h 48m 53+209/227s"]
[1411,3240,51,53,"365+157/648",0.24228395061728394,"05h 48m 53+1/3s"]
[719,1651,26,27,"365+400/1651",0.24227740763173833,"05h 48m 52+1268/1651s"]
[1465,3364,53,55,"365+815/3364",0.24227110582639716,"05h 48m 52+188/841s"]
[746,1713,27,28,"365+415/1713",0.2422650321074139,"05h 48m 51+399/571s"]
[1519,3488,55,57,"365+845/3488",0.24225917431192662,"05h 48m 51+21/109s"]
[773,1775,28,29,"365+86/355",0.24225352112676057,"05h 48m 50+50/71s"]
[1573,3612,57,59,"365+125/516",0.24224806201550386,"05h 48m 50+10/43s"]
[800,1837,29,30,"365+445/1837",0.2422427871529668,"05h 48m 49+1427/1837s"]
[1627,3736,59,61,"365+905/3736",0.24223768736616702,"05h 48m 49+157/467s"]
[827,1899,30,31,"365+460/1899",0.24223275408109532,"05h 48m 48+192/211s"]
[1681,3860,61,63,"365+187/772",0.2422279792746114,"05h 48m 48+96/193s"]
[854,1961,31,32,"365+475/1961",0.2422233554309026,"05h 48m 48+192/1961s"]
[1735,3984,63,65,"365+965/3984",0.24221887550200802,"05h 48m 47+59/83s"]
[881,2023,32,33,"365+70/289",0.2422145328719723,"05h 48m 47+97/289s"]
[908,2085,33,34,"365+101/417",0.2422062350119904,"05h 48m 46+86/139s"]
[935,2147,34,35,"365+520/2147",0.24219841639496972,"05h 48m 45+2025/2147s"]
[962,2209,35,36,"365+535/2209",0.24219103666817565,"05h 48m 45+675/2209s"]
[989,2271,36,37,"365+550/2271",0.242184059885513,"05h 48m 44+532/757s"]
[1016,2333,37,38,"365+565/2333",0.24217745392198886,"05h 48m 44+308/2333s"]
[1043,2395,38,39,"365+116/479",0.24217118997912318,"05h 48m 43+283/479s"]
[1070,2457,39,40,"365+85/351",0.24216524216524216,"05h 48m 43+1/13s"]
[1097,2519,40,41,"365+610/2519",0.24215958713775307,"05h 48m 42+1482/2519s"]
[1124,2581,41,42,"365+625/2581",0.2421542037969779,"05h 48m 42+318/2581s"]
[1151,2643,42,43,"365+640/2643",0.24214907302307984,"05h 48m 41+599/881s"]
[1178,2705,43,44,"365+131/541",0.24214417744916822,"05h 48m 41+139/541s"]
[1205,2767,44,45,"365+670/2767",0.24213950126490785,"05h 48m 40+2360/2767s"]
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[27,62,1,1,"365+15/62",0.24193548387096775,"05h 48m 23+7/31s"]
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[1144,2627,43,42,"365+635/2627",0.24172059383326988,"05h 48m 4+1732/2627s"]
[1117,2565,42,41,"365+124/513",0.24171539961013644,"05h 48m 4+4/19s"]
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[1009,2317,38,37,"365+80/331",0.24169184290030213,"05h 48m 2+58/331s"]
[982,2255,37,36,"365+109/451",0.24168514412416853,"05h 48m 1+269/451s"]
[955,2193,36,35,"365+530/2193",0.2416780665754674,"05h 48m 720/731s"]
[928,2131,35,34,"365+515/2131",0.24167057719380572,"05h 48m 720/2131s"]
[901,2069,34,33,"365+500/2069",0.2416626389560174,"05h 47m 59+1349/2069s"]
[874,2007,33,32,"365+485/2007",0.24165421026407574,"05h 47m 58+206/223s"]
[1721,3952,65,63,"365+955/3952",0.2416497975708502,"05h 47m 58+134/247s"]
[847,1945,32,31,"365+94/389",0.2416452442159383,"05h 47m 58+58/389s"]
[1667,3828,63,61,"365+925/3828",0.2416405433646813,"05h 47m 57+237/319s"]
[820,1883,31,30,"365+65/269",0.241635687732342,"05h 47m 57+87/269s"]
[1613,3704,61,59,"365+895/3704",0.24163066954643628,"05h 47m 56+412/463s"]
[793,1821,30,29,"365+440/1821",0.24162548050521693,"05h 47m 56+268/607s"]
[1559,3580,59,57,"365+173/716",0.24162011173184358,"05h 47m 55+175/179s"]
[766,1759,29,28,"365+425/1759",0.24161455372370666,"05h 47m 55+875/1759s"]
[1505,3456,57,55,"365+835/3456",0.2416087962962963,"05h 47m 55s"]
[739,1697,28,27,"365+410/1697",0.24160282852091927,"05h 47m 54+822/1697s"]
[1451,3332,55,53,"365+115/476",0.2415966386554622,"05h 47m 53+113/119s"]
[712,1635,27,26,"365+79/327",0.2415902140672783,"05h 47m 53+43/109s"]
[1397,3208,53,51,"365+775/3208",0.24158354114713218,"05h 47m 52+328/401s"]
[685,1573,26,25,"365+380/1573",0.24157660521296884,"05h 47m 52+344/1573s"]
[1343,3084,51,49,"365+745/3084",0.24156939040207523,"05h 47m 51+153/257s"]
[658,1511,25,24,"365+365/1511",0.2415618795499669,"05h 47m 50+1430/1511s"]
[1289,2960,49,47,"365+143/592",0.24155405405405406,"05h 47m 50+10/37s"]
[631,1449,24,23,"365+50/207",0.24154589371980675,"05h 47m 49+13/23s"]
[1235,2836,47,45,"365+685/2836",0.2415373765867419,"05h 47m 48+588/709s"]
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[577,1325,22,21,"365+64/265",0.24150943396226415,"05h 47m 46+22/53s"]
[1704,3913,65,62,"365+135/559",0.24150268336314848,"05h 47m 45+465/559s"]
[1127,2588,43,41,"365+625/2588",0.24149922720247297,"05h 47m 45+345/647s"]
[1677,3851,64,61,"365+930/3851",0.24149571539859777,"05h 47m 45+885/3851s"]
[550,1263,21,20,"365+305/1263",0.2414885193982581,"05h 47m 44+256/421s"]
[1623,3727,62,59,"365+900/3727",0.24148108398175477,"05h 47m 43+3599/3727s"]
[1073,2464,41,39,"365+85/352",0.24147727272727273,"05h 47m 43+7/11s"]
[1596,3665,61,58,"365+177/733",0.24147339699863574,"05h 47m 43+221/733s"]
[523,1201,20,19,"365+290/1201",0.2414654454621149,"05h 47m 42+738/1201s"]
[1542,3541,59,56,"365+855/3541",0.24145721547585428,"05h 47m 41+3199/3541s"]
[1019,2340,39,37,"365+113/468",0.24145299145299146,"05h 47m 41+7/13s"]
[1515,3479,58,55,"365+120/497",0.2414486921529175,"05h 47m 41+83/497s"]
[496,1139,19,18,"365+275/1139",0.2414398595258999,"05h 47m 40+460/1139s"]
[1461,3355,56,53,"365+162/671",0.2414307004470939,"05h 47m 39+411/671s"]
[965,2216,37,35,"365+535/2216",0.24142599277978338,"05h 47m 39+57/277s"]
[1434,3293,55,52,"365+795/3293",0.24142119647737625,"05h 47m 38+2606/3293s"]
[469,1077,18,17,"365+260/1077",0.2414113277623027,"05h 47m 37+337/359s"]
[1380,3169,53,50,"365+765/3169",0.2414010728936573,"05h 47m 37+167/3169s"]
[911,2092,35,33,"365+505/2092",0.24139579349904397,"05h 47m 36+312/523s"]
[1353,3107,52,49,"365+750/3107",0.2413904087544255,"05h 47m 36+408/3107s"]
[442,1015,17,16,"365+7/29",0.2413793103448276,"05h 47m 35+5/29s"]
[1741,3998,67,63,"365+965/3998",0.24137068534267134,"05h 47m 34+854/1999s"]
[1299,2983,50,47,"365+720/2983",0.24136775058665771,"05h 47m 34+518/2983s"]
[857,1968,33,31,"365+475/1968",0.24136178861788618,"05h 47m 33+27/41s"]
[1272,2921,49,46,"365+705/2921",0.24135570010270455,"05h 47m 33+387/2921s"]
[1687,3874,65,61,"365+935/3874",0.2413526071244192,"05h 47m 32+1676/1937s"]
[415,953,16,15,"365+230/953",0.24134312696747115,"05h 47m 32+44/953s"]
[1633,3750,63,59,"365+181/750",0.24133333333333334,"05h 47m 31+1/5s"]
[1218,2797,47,44,"365+675/2797",0.2413299964247408,"05h 47m 30+2550/2797s"]
[803,1844,31,29,"365+445/1844",0.2413232104121475,"05h 47m 30+150/461s"]
[1191,2735,46,43,"365+132/547",0.2413162705667276,"05h 47m 29+397/547s"]
[1579,3626,61,57,"365+125/518",0.2413127413127413,"05h 47m 29+109/259s"]
[388,891,15,14,"365+215/891",0.24130190796857465,"05h 47m 28+16/33s"]
[1525,3502,59,55,"365+845/3502",0.24129069103369502,"05h 47m 27+903/1751s"]
[1137,2611,44,41,"365+90/373",0.24128686327077747,"05h 47m 27+69/373s"]
[749,1720,29,27,"365+83/344",0.24127906976744187,"05h 47m 26+22/43s"]
[1110,2549,43,40,"365+615/2549",0.24127108670066694,"05h 47m 25+2095/2549s"]
[1471,3378,57,53,"365+815/3378",0.24126702190645352,"05h 47m 25+265/563s"]
[361,829,14,13,"365+200/829",0.24125452352231605,"05h 47m 24+324/829s"]
[1417,3254,55,51,"365+785/3254",0.24124154886293792,"05h 47m 23+439/1627s"]
[1056,2425,41,38,"365+117/485",0.24123711340206186,"05h 47m 22+86/97s"]
[695,1596,27,25,"365+55/228",0.2412280701754386,"05h 47m 22+2/19s"]
[1724,3959,67,62,"365+955/3959",0.24122253094215712,"05h 47m 21+2481/3959s"]
[1029,2363,40,37,"365+570/2363",0.24121878967414304,"05h 47m 21+717/2363s"]
[1363,3130,53,49,"365+151/626",0.24121405750798722,"05h 47m 20+280/313s"]
[1697,3897,66,61,"365+940/3897",0.2412111880934052,"05h 47m 20+280/433s"]
[334,767,13,12,"365+185/767",0.24119947848761408,"05h 47m 19+487/767s"]
[1643,3773,64,59,"365+130/539",0.24118738404452691,"05h 47m 18+318/539s"]
[1309,3006,51,47,"365+725/3006",0.2411842980705256,"05h 47m 18+54/167s"]
[975,2239,38,35,"365+540/2239",0.241179097811523,"05h 47m 17+1957/2239s"]
[1616,3711,63,58,"365+895/3711",0.24117488547561305,"05h 47m 17+631/1237s"]
[641,1472,25,23,"365+355/1472",0.24116847826086957,"05h 47m 16+22/23s"]
[1589,3649,62,57,"365+880/3649",0.24116196218141955,"05h 47m 16+1436/3649s"]
[948,2177,37,34,"365+75/311",0.24115755627009647,"05h 47m 16+4/311s"]
[1255,2882,49,45,"365+695/2882",0.24115197779319916,"05h 47m 15+765/1441s"]
[1562,3587,61,56,"365+865/3587",0.2411485921382771,"05h 47m 15+855/3587s"]
[307,705,12,11,"365+34/141",0.24113475177304963,"05h 47m 14+2/47s"]
[1508,3463,59,54,"365+835/3463",0.2411204158244297,"05h 47m 12+2784/3463s"]
[1201,2758,47,43,"365+95/394",0.24111675126903553,"05h 47m 12+96/197s"]
[894,2053,35,32,"365+495/2053",0.24111056989771068,"05h 47m 11+1957/2053s"]
[1481,3401,58,53,"365+820/3401",0.24110555718906204,"05h 47m 11+1769/3401s"]
[587,1348,23,21,"365+325/1348",0.2410979228486647,"05h 47m 10+290/337s"]
[1454,3339,57,52,"365+115/477",0.24109014675052412,"05h 47m 10+10/53s"]
[867,1991,34,31,"365+480/1991",0.24108488196885988,"05h 47m 9+1461/1991s"]
[1147,2634,45,41,"365+635/2634",0.24107820804859528,"05h 47m 9+69/439s"]
[1427,3277,56,51,"365+790/3277",0.24107415318889228,"05h 47m 8+2644/3277s"]
[1707,3920,67,61,"365+27/112",0.24107142857142858,"05h 47m 8+4/7s"]
[280,643,11,10,"365+155/643",0.2410575427682737,"05h 47m 7+239/643s"]
[1653,3796,65,59,"365+915/3796",0.2410432033719705,"05h 47m 6+126/949s"]
[1373,3153,54,49,"365+760/3153",0.24104027909927053,"05h 47m 5+925/1051s"]
[1093,2510,43,39,"365+121/502",0.2410358565737052,"05h 47m 5+125/251s"]
[813,1867,32,29,"365+450/1867",0.241028387787895,"05h 47m 4+1592/1867s"]
[1346,3091,53,48,"365+745/3091",0.2410223228728567,"05h 47m 4+1016/3091s"]
[533,1224,21,19,"365+295/1224",0.24101307189542484,"05h 47m 3+9/17s"]
[1319,3029,52,47,"365+730/3029",0.24100363156157148,"05h 47m 2+2162/3029s"]
[786,1805,31,28,"365+87/361",0.2409972299168975,"05h 47m 2+58/361s"]
[1039,2386,41,37,"365+575/2386",0.240989103101425,"05h 47m 1+547/1193s"]
[1292,2967,51,46,"365+715/2967",0.24098415908324908,"05h 47m 1+31/989s"]
[1545,3548,61,55,"365+855/3548",0.24098083427282976,"05h 47m 660/887s"]
[10,23,1,0,"365+5/23",0.21739130434782608,"05h 13m 2+14/23s"]

{"sheet":"LM30","index":12,"n_rows":350,"n_cols":7,"rows_kept":350,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Leap Cycles where a Short (Common) Year has 360 and a Long (Leap) Year 390 days (maximum of 4000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 11 long in 63 years and 7 long in 40 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  If the number of days per cycle MOD 10 = 0 then each cycle starts on the same weekday."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","63","40","Mean Year","Decimal","Exact Time"]
[7,40,0,1,"365+1/4",0.25,"06h 00m 0s"]
[151,864,8,9,"365+35/144",0.24305555555555555,"05h 50m 0s"]
[622,3559,33,37,"365+865/3559",0.24304579938184884,"05h 49m 59+559/3559s"]
[471,2695,25,28,"365+131/539",0.24304267161410018,"05h 49m 58+478/539s"]
[320,1831,17,19,"365+445/1831",0.2430365920262152,"05h 49m 58+662/1831s"]
[489,2798,26,29,"365+340/1399",0.24303073624017155,"05h 49m 57+1197/1399s"]
[658,3765,35,39,"365+61/251",0.24302788844621515,"05h 49m 57+153/251s"]
[169,967,9,10,"365+235/967",0.24301964839710444,"05h 49m 56+868/967s"]
[694,3971,37,41,"365+965/3971",0.24301183580961974,"05h 49m 56+884/3971s"]
[525,3004,28,31,"365+365/1502",0.24300932090545938,"05h 49m 56+4/751s"]
[356,2037,19,21,"365+165/679",0.24300441826215022,"05h 49m 55+395/679s"]
[543,3107,29,32,"365+755/3107",0.24299967814612167,"05h 49m 55+535/3107s"]
[187,1070,10,11,"365+26/107",0.24299065420560748,"05h 49m 54+42/107s"]
[579,3313,31,34,"365+805/3313",0.24298219136734078,"05h 49m 53+2191/3313s"]
[392,2243,21,23,"365+545/2243",0.2429781542576906,"05h 49m 53+701/2243s"]
[597,3416,32,35,"365+415/1708",0.2429742388758782,"05h 49m 52+416/427s"]
[205,1173,11,12,"365+95/391",0.24296675191815856,"05h 49m 52+128/391s"]
[633,3622,34,37,"365+440/1811",0.24295969077857538,"05h 49m 51+1299/1811s"]
[428,2449,23,25,"365+595/2449",0.24295630869742751,"05h 49m 51+1041/2449s"]
[651,3725,35,38,"365+181/745",0.24295302013422818,"05h 49m 51+21/149s"]
[223,1276,12,13,"365+155/638",0.24294670846394983,"05h 49m 50+190/319s"]
[687,3931,37,40,"365+955/3931",0.24294072755024168,"05h 49m 50+310/3931s"]
[464,2655,25,27,"365+43/177",0.24293785310734464,"05h 49m 49+49/59s"]
[241,1379,13,14,"365+335/1379",0.242929659173314,"05h 49m 49+169/1379s"]
[500,2861,27,29,"365+695/2861",0.24292205522544566,"05h 49m 48+1332/2861s"]
[259,1482,14,15,"365+60/247",0.242914979757085,"05h 49m 47+211/247s"]
[536,3067,29,31,"365+745/3067",0.2429083795239648,"05h 49m 47+871/3067s"]
[277,1585,15,16,"365+77/317",0.24290220820189273,"05h 49m 46+238/317s"]
[572,3273,31,33,"365+265/1091",0.24289642529789185,"05h 49m 46+274/1091s"]
[295,1688,16,17,"365+205/844",0.24289099526066352,"05h 49m 45+165/211s"]
[608,3479,33,35,"365+845/3479",0.24288588674906583,"05h 49m 45+1185/3479s"]
[313,1791,17,18,"365+145/597",0.24288107202680068,"05h 49m 44+184/199s"]
[644,3685,35,37,"365+179/737",0.24287652645861602,"05h 49m 44+392/737s"]
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[623,3566,42,23,"365+430/1783",0.2411665731912507,"05h 47m 16+1412/1783s"]
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[366,2095,25,13,"365+101/419",0.24105011933174225,"05h 47m 6+306/419s"]
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[453,2593,31,16,"365+625/2593",0.24103355187042036,"05h 47m 5+775/2593s"]
[482,2759,33,17,"365+665/2759",0.2410293584632113,"05h 47m 4+2584/2759s"]
[511,2925,35,18,"365+47/195",0.24102564102564103,"05h 47m 4+8/13s"]
[540,3091,37,19,"365+745/3091",0.2410223228728567,"05h 47m 4+1016/3091s"]
[569,3257,39,20,"365+785/3257",0.2410193429536383,"05h 47m 4+232/3257s"]
[598,3423,41,21,"365+275/1141",0.24101665205959685,"05h 47m 3+957/1141s"]
[627,3589,43,22,"365+865/3589",0.24101421008637502,"05h 47m 3+2253/3589s"]
[656,3755,45,23,"365+181/751",0.24101198402130491,"05h 47m 3+327/751s"]
[685,3921,47,24,"365+315/1307",0.2410099464422341,"05h 47m 3+339/1307s"]
[11,63,1,0,"365+5/21",0.23809523809523808,"05h 42m 51+3/7s"]

{"sheet":"LS 49yerm","index":13,"n_rows":356,"n_cols":7,"rows_kept":356,"merged":[[6,2,6,3],[6,5,6,6]]}
["Candidate Lunisolar Leap Cycles where a Short (Common) Year has 354.367041198502 and a Long (Leap) Year 383.897627965044 days (maximum of 4000 years per cycle)"]
["Target Year = 2001 AD.  Minimum and Maximum Mean Year 365.240972222222 to 365.243055555556 days = Time in Excess of 365 days from 5h 47m 0.0s to 5h 50m 0.0s."]
["Short \"mixer\" cycles have 95 long in 258 years and 7 long in 19 years."]
["For symmetrical cycle, year y is long if and only if the remainder of (L x Y + K ) MOD C < L, where L=Long Years per Cycle and C=Years per Cycle.  If C is even then alternative K = K-1."]
["See 'Symmetrical Leap Cycles' at <http://individual.utoronto.ca/kalendis/leap/>.  If the number of days per cycle MOD 10 = 0 then each cycle starts on the same weekday."]
[]
["Long","Years","Mixers",null,"Calendar","Mean Year >365 days"]
["/cycle","/cycle","258","19","Mean Year","Decimal","Time"]
[7,19,0,1,365.24673105985937,0.24673105985936827,"5h 55m 17.6s"]
[467,1268,3,26,365.24305383255154,0.2430538325515638,"5h 49m 59.9s"]
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[1382,3753,13,21,365.2413473299596,0.2413473299595682,"5h 47m 32.4s"]
[531,1442,5,8,365.2413418732825,0.24134187328251197,"5h 47m 31.9s"]
[1273,3457,12,19,365.2413359493864,0.24133594938636155,"5h 47m 31.4s"]
[742,2015,7,11,365.24133171005224,0.24133171005224296,"5h 47m 31.1s"]
[953,2588,9,14,365.2413260472323,0.24132604723228626,"5h 47m 30.6s"]
[1164,3161,11,17,365.2413224374309,0.24132243743089027,"5h 47m 30.3s"]
[1375,3734,13,20,365.24131993551174,0.24131993551176528,"5h 47m 30.0s"]
[211,573,2,3,365.24130613347626,0.2413061334762431,"5h 47m 28.8s"]
[1368,3715,13,19,365.2412922608516,0.24129226085157562,"5h 47m 27.7s"]
[1157,3142,11,16,365.2412897309299,0.24128973092989056,"5h 47m 27.4s"]
[946,2569,9,13,365.2412860724406,0.24128607244057176,"5h 47m 27.1s"]
[735,1996,7,10,365.2412803134358,0.24128031343584247,"5h 47m 26.6s"]
[1259,3419,12,17,365.24127598618134,0.24127598618133833,"5h 47m 26.2s"]
[524,1423,5,7,365.2412699164695,0.2412699164694689,"5h 47m 25.7s"]
[1361,3696,13,18,365.24126430165757,0.24126430165754206,"5h 47m 25.2s"]
[837,2273,8,11,365.2412607865333,0.24126078653331334,"5h 47m 24.9s"]
[1150,3123,11,15,365.24125662646316,0.24125662646314064,"5h 47m 24.6s"]
[1463,3973,14,19,365.2412542464381,0.24125424643809593,"5h 47m 24.4s"]
[313,850,3,4,365.2412455019461,0.24124550194607877,"5h 47m 23.6s"]
[1354,3677,13,17,365.2412360535189,0.241236053518887,"5h 47m 22.8s"]
[1041,2827,10,13,365.2412332126405,0.2412332126405308,"5h 47m 22.5s"]
[728,1977,7,9,365.2412279289229,0.24122792892292036,"5h 47m 22.1s"]
[1143,3104,11,14,365.2412231167226,0.24122311672263538,"5h 47m 21.7s"]
[415,1127,4,5,365.24121467509,0.24121467509001474,"5h 47m 20.9s"]
[1347,3658,13,16,365.24120751193317,0.24120751193319287,"5h 47m 20.3s"]
[932,2531,9,11,365.24120432233315,0.24120432233313824,"5h 47m 20.1s"]
[1449,3935,14,17,365.24120135726145,0.24120135726147374,"5h 47m 19.8s"]
[517,1404,5,6,365.24119601210737,0.2411960121073549,"5h 47m 19.3s"]
[1136,3085,11,13,365.24118919422034,0.24118919422033458,"5h 47m 18.7s"]
[619,1681,6,7,365.24118349980427,0.2411834998042867,"5h 47m 18.3s"]
[1340,3639,13,15,365.241178672304,0.24117867230400974,"5h 47m 17.8s"]
[721,1958,7,8,365.2411745277545,0.24117452775448703,"5h 47m 17.5s"]
[823,2235,8,9,365.241167779649,0.24116777964902247,"5h 47m 16.9s"]
[925,2512,9,10,365.2411625197802,0.241162519780193,"5h 47m 16.4s"]
[1027,2789,10,11,365.24115830471857,0.24115830471858177,"5h 47m 16.1s"]
[1129,3066,11,12,365.2411548512826,0.24115485128258451,"5h 47m 15.8s"]
[1231,3343,12,13,365.241151970148,0.241151970147976,"5h 47m 15.5s"]
[1333,3620,13,14,365.2411495299384,0.2411495299383877,"5h 47m 15.3s"]
[1435,3897,14,15,365.24114743663057,0.24114743663054736,"5h 47m 15.1s"]
[102,277,1,1,365.2411200800443,0.2411200800443309,"5h 47m 12.8s"]
[1421,3859,14,13,365.24109245407476,0.2410924540747829,"5h 47m 10.4s"]
[1319,3582,13,12,365.24109031772815,0.24109031772817074,"5h 47m 10.2s"]
[1217,3305,12,11,365.24108782327687,0.2410878232768617,"5h 47m 10.0s"]
[1115,3028,11,10,365.24108487244314,0.2410848724431137,"5h 47m 9.7s"]
[1013,2751,10,9,365.2410813273666,0.24108132736658253,"5h 47m 9.4s"]
[911,2474,9,8,365.2410769884451,0.24107698844510464,"5h 47m 9.1s"]
[809,2197,8,7,365.24107155541236,0.2410715554123392,"5h 47m 8.6s"]
[707,1920,7,6,365.24106455472327,0.24106455472324456,"5h 47m 8.0s"]
[1312,3563,13,11,365.24106023799186,0.24106023799185505,"5h 47m 7.6s"]
[605,1643,6,5,365.2410551934853,0.24105519348530124,"5h 47m 7.2s"]
[1108,3009,11,9,365.24104922021286,0.2410492202128349,"5h 47m 6.7s"]
[503,1366,5,4,365.2410420356692,0.24104203566915833,"5h 47m 6.0s"]
[1407,3821,14,11,365.24103637791154,0.24103637791152346,"5h 47m 5.5s"]
[904,2455,9,7,365.2410332298476,0.24103322984760117,"5h 47m 5.3s"]
[1305,3544,13,10,365.24102983573016,0.24102983573014997,"5h 47m 5.0s"]
[401,1089,4,3,365.2410221841614,0.2410221841614239,"5h 47m 4.3s"]
[1101,2990,11,8,365.24101311487726,0.24101311487728835,"5h 47m 3.5s"]
[700,1901,7,5,365.2410079194799,0.24100791947990616,"5h 47m 3.1s"]
[999,2713,10,7,365.24100219362725,0.2410021936272807,"5h 47m 2.6s"]
[1298,3525,13,9,365.2409991057277,0.24099910572775135,"5h 47m 2.3s"]
[299,812,3,2,365.2409887886447,0.24098878864471793,"5h 47m 1.4s"]
[1393,3783,14,9,365.2409791751851,0.24097917518511108,"5h 47m 0.6s"]
[1094,2971,11,7,365.24097654774346,0.24097654774344132,"5h 47m 0.4s"]
[95,258,1,0,365.2407068683525,0.2407068683525258,"5h 46m 37.1s"]

{"sheet":"Cross","index":14,"n_rows":114,"n_cols":7,"rows_kept":114}
[{"$f":"Data!A378","v":"Cross-Over Analysis for 293-Year Leap Cycle"}]
[{"$f":"Data!A377","v":"Mean Year ≡ 365+71/293 days ≡ 365d 5h 48m 56+152/293s ≈ 365.242320819112628 days"}]
[]
["Month Day Time","Elapsed","Low Year","High Year","Solar Long","±180¡","Drift"]
["2000-12-31T15:46:56.173",{"v":-0.3424054050153009,"d":"-0.342"},3500,4500,{"v":279.50589571194723,"d":"279.5"},{"v":-80.49410428805277,"d":"-80.5"},{"v":5.4130983447207495,"d":"5.41"}]
["2001-01-01T19:11:41.567",{"v":0.7997866544970388,"d":"0.800"},3000,5000,{"v":280.7517518422683,"d":"280.8"},{"v":-79.24824815773172,"d":"-79.2"},{"v":3.406597216875988,"d":"3.41"}]
["2001-01-10T18:12:36.839",{"v":9.75875971498805,"d":"9.759"},4000,4500,{"v":289.69723447272554,"d":"289.7"},{"v":-70.30276552727446,"d":"-70.3"},{"v":7.838743748274998,"d":"7.84"}]
["2001-01-11T12:56:32.581",{"v":10.539265985592166,"d":"10.539"},3500,5000,{"v":290.5494259573752,"d":"290.5"},{"v":-69.4505740426248,"d":"-69.5"},{"v":6.448554869653915,"d":"6.45"}]
["2001-01-21T23:45:13.162",{"v":20.9897356682175,"d":"20.990"},4000,5000,{"v":301.1011669820873,"d":"301.1"},{"v":-58.89883301791269,"d":"-58.9"},{"v":8.656717932335575,"d":"8.66"}]
["2001-02-03T09:01:39.966",{"v":33.37615700927527,"d":"33.376"},4500,5000,{"v":313.64481703354977,"d":"313.6"},{"v":-46.35518296645023,"d":"-46.4"},{"v":10.149562117829234,"d":"10.15"}]
["2001-03-17T21:50:28.121",{"v":75.91004770177666,"d":"75.910"},0,500,{"v":357.0805636640871,"d":"357.1"},{"v":-2.9194363359129056,"d":"-2.9"},{"v":-2.528171880183759,"d":"-2.53"}]
["2001-03-19T04:48:15.246",{"v":77.20017646264894,"d":"77.200"},0,1000,{"v":358.3386642714031,"d":"358.3"},{"v":-1.661335728596896,"d":"-1.7"},{"v":-1.7838289199871045,"d":"-1.78"}]
["2001-03-20T09:33:43.028",{"v":78.39841467281434,"d":"78.398"},0,1500,{"v":359.5063880952075,"d":"359.5"},{"v":-0.4936119047924876,"d":"-0.5"},{"v":-1.0912488615840514,"d":"-1.09"}]
["2001-03-20T12:50:45.901",{"v":78.53525348862401,"d":"78.535"},500,1000,{"v":359.6528469232144,"d":"359.7"},{"v":-0.3471530767856166,"d":"-0.3"},{"v":-1.3320955791788252,"d":"-1.33"}]
["2001-03-21T04:30:50.673",{"v":79.18808649625099,"d":"79.188"},4500,5000,{"v":0.17646090465132147,"d":"0.2"},{"v":0.17646090465132147,"d":"+0.2"},{"v":1.7784096577124144,"d":"1.78"}]
["2001-03-21T12:03:50.034",{"v":79.50266243106346,"d":"79.503"},0,2000,{"v":0.581844984088093,"d":"0.6"},{"v":0.581844984088093,"d":"+0.6"},{"v":-0.4510619782693242,"d":"-0.45"}]
["2001-03-21T16:55:03.265",{"v":79.70489890409934,"d":"79.705"},500,1500,{"v":0.7976047864649445,"d":"0.8"},{"v":0.7976047864649445,"d":"+0.8"},{"v":-0.7928344060425533,"d":"-0.79"}]
["2001-03-22T06:40:44.127",{"v":80.27828851231597,"d":"80.278"},0,2500,{"v":1.33685783657711,"d":"1.3"},{"v":1.33685783657711,"d":"+1.3"},{"v":0,"d":"0.00"}]
["2001-03-22T16:56:58.367",{"v":80.70623109587429,"d":"80.706"},0,3000,{"v":1.7532881554216146,"d":"1.8"},{"v":1.7532881554216146,"d":"+1.8"},{"v":0.24946623615825608,"d":"0.25"}]
["2001-03-22T18:09:11.686",{"v":80.75638525426959,"d":"80.756"},500,2000,{"v":1.8260100317420438,"d":"1.8"},{"v":1.8260100317420438,"d":"+1.8"},{"v":-0.3036564001321331,"d":"-0.30"}]
["2001-03-22T21:23:39.924",{"v":80.89143430706241,"d":"80.891"},1000,1500,{"v":1.969325361715164,"d":"2.0"},{"v":1.969325361715164,"d":"+2.0"},{"v":-0.5152849705395829,"d":"-0.52"}]
["2001-03-23T08:02:33.235",{"v":81.33510689211852,"d":"81.335"},0,3500,{"v":2.365065763005987,"d":"2.4"},{"v":2.365065763005987,"d":"+2.4"},{"v":0.6168377806087303,"d":"0.62"}]
["2001-03-23T09:41:44.596",{"v":81.4039883795669,"d":"81.404"},500,2500,{"v":2.459058897336945,"d":"2.5"},{"v":2.459058897336945,"d":"+2.5"},{"v":0,"d":"0.00"}]
["2001-03-23T14:21:50.344",{"v":81.59849935723281,"d":"81.598"},0,4000,{"v":2.6212329218396917,"d":"2.6"},{"v":2.6212329218396917,"d":"+2.6"},{"v":0.7709879371354126,"d":"0.77"}]
["2001-03-23T16:06:22.012",{"v":81.67108810130536,"d":"81.671"},0,5000,{"v":2.691823768080212,"d":"2.7"},{"v":2.691823768080212,"d":"+2.7"},{"v":0.8134704214236513,"d":"0.81"}]
["2001-03-23T16:43:21.482",{"v":81.69677641554524,"d":"81.697"},500,3000,{"v":2.7451812183717266,"d":"2.7"},{"v":2.7451812183717266,"d":"+2.7"},{"v":0.13774100381011858,"d":"0.14"}]
["2001-03-23T18:38:28.223",{"v":81.77671554437852,"d":"81.777"},0,4500,{"v":2.794538822141476,"d":"2.8"},{"v":2.794538822141476,"d":"+2.8"},{"v":0.8752887687183453,"d":"0.88"}]
["2001-03-23T20:35:37.149",{"v":81.85806885253913,"d":"81.858"},1000,2000,{"v":2.9186060474603437,"d":"2.9"},{"v":2.9186060474603437,"d":"+2.9"},{"v":-0.17170804354184682,"d":"-0.17"}]
["2001-03-24T06:32:41.675",{"v":82.27270457292042,"d":"82.273"},4000,5000,{"v":3.300973862176761,"d":"3.3"},{"v":3.300973862176761,"d":"+3.3"},{"v":0.5766151035727602,"d":"0.58"}]
["2001-03-24T06:56:12.051",{"v":82.28902836991738,"d":"82.289"},500,3500,{"v":3.3237858255160972,"d":"3.3"},{"v":3.3237858255160972,"d":"+3.3"},{"v":0.41757347270537254,"d":"0.42"}]
["2001-03-24T08:03:18.162",{"v":82.33562686984413,"d":"82.336"},1000,2500,{"v":3.3873618812067434,"d":"3.4"},{"v":3.3873618812067434,"d":"+3.4"},{"v":0,"d":"0.00"}]
["2001-03-24T11:08:39.637",{"v":82.46434764769684,"d":"82.464"},500,5000,{"v":3.4950229588430375,"d":"3.5"},{"v":3.4950229588430375,"d":"+3.5"},{"v":0.5007856050156124,"d":"0.50"}]
["2001-03-24T11:22:42.380",{"v":82.47410161678565,"d":"82.474"},1000,3000,{"v":3.52325615985319,"d":"3.5"},{"v":3.52325615985319,"d":"+3.5"},{"v":0.04999598302282391,"d":"0.05"}]
["2001-03-24T11:47:26.780",{"v":82.49128217214496,"d":"82.491"},500,4000,{"v":3.5213286243379116,"d":"3.5"},{"v":3.5213286243379116,"d":"+3.5"},{"v":0.5135695911264263,"d":"0.51"}]
["2001-03-24T15:01:05",{"v":82.62575230995905,"d":"82.626"},500,4500,{"v":3.652652361197397,"d":"3.7"},{"v":3.652652361197397,"d":"+3.7"},{"v":0.577393416100413,"d":"0.58"}]
["2001-03-24T18:57:47.301",{"v":82.79013080268858,"d":"82.790"},1500,2000,{"v":3.8424955966474954,"d":"3.8"},{"v":3.8424955966474954,"d":"+3.8"},{"v":-0.058754962430613566,"d":"-0.06"}]
["2001-03-24T22:00:27.954",{"v":82.91699021216333,"d":"82.917"},2500,3000,{"v":3.9664198850514367,"d":"4.0"},{"v":3.9664198850514367,"d":"+4.0"},{"v":0,"d":"0.00"}]
["2001-03-24T23:53:39.815",{"v":82.99559971262761,"d":"82.996"},1500,3000,{"v":4.045073426794261,"d":"4.0"},{"v":4.045073426794261,"d":"+4.0"},{"v":-0.008873922904457696,"d":"-0.01"}]
["2001-03-25T00:45:46.492",{"v":83.03178809885024,"d":"83.032"},1500,2500,{"v":4.080750081746373,"d":"4.1"},{"v":4.080750081746373,"d":"+4.1"},{"v":0,"d":"0.00"}]
["2001-03-25T01:13:04.455",{"v":83.05074600801555,"d":"83.051"},1000,3500,{"v":4.089019554085098,"d":"4.1"},{"v":4.089019554085098,"d":"+4.1"},{"v":0.2584225381356637,"d":"0.26"}]
["2001-03-25T01:32:06.919",{"v":83.06396897454616,"d":"83.064"},1000,5000,{"v":4.101990462804679,"d":"4.1"},{"v":4.101990462804679,"d":"+4.1"},{"v":0.2632567075222867,"d":"0.26"}]
["2001-03-25T02:26:38.469",{"v":83.10183412760534,"d":"83.102"},2000,3000,{"v":4.151362471743312,"d":"4.2"},{"v":4.151362471743312,"d":"+4.2"},{"v":-0.0208494101540987,"d":"-0.02"}]
["2001-03-25T02:29:20.974",{"v":83.10371497900135,"d":"83.104"},3500,5000,{"v":4.142219835659489,"d":"4.1"},{"v":4.142219835659489,"d":"+4.1"},{"v":0.24736208412689875,"d":"0.25"}]
["2001-03-25T04:39:32.928",{"v":83.1941311139604,"d":"83.194"},1000,4000,{"v":4.229665371472947,"d":"4.2"},{"v":4.229665371472947,"d":"+4.2"},{"v":0.3108425369348676,"d":"0.31"}]
["2001-03-25T06:32:32.735",{"v":83.27260110324704,"d":"83.273"},2000,2500,{"v":4.320559314408342,"d":"4.3"},{"v":4.320559314408342,"d":"+4.3"},{"v":0,"d":"0.00"}]
["2001-03-25T06:53:28.463",{"v":83.28713498914897,"d":"83.287"},1000,4500,{"v":4.320885331835598,"d":"4.3"},{"v":4.320885331835598,"d":"+4.3"},{"v":0.3448437185330567,"d":"0.34"}]
["2001-03-25T11:01:48.262",{"v":83.45958636099702,"d":"83.460"},1500,5000,{"v":4.502441902295686,"d":"4.5"},{"v":4.502441902295686,"d":"+4.5"},{"v":0.10504736163962662,"d":"0.11"}]
["2001-03-25T14:37:19.864",{"v":83.6092576891576,"d":"83.609"},1500,3500,{"v":4.649952184525318,"d":"4.6"},{"v":4.649952184525318,"d":"+4.6"},{"v":0.14179968049540842,"d":"0.14"}]
["2001-03-25T14:48:36.788",{"v":83.6170924542644,"d":"83.617"},2000,5000,{"v":4.661839662552438,"d":"4.7"},{"v":4.661839662552438,"d":"+4.7"},{"v":0.04205989738303032,"d":"0.04"}]
["2001-03-25T16:50:17.342",{"v":83.70158960737625,"d":"83.702"},1500,4000,{"v":4.7409446562232915,"d":"4.7"},{"v":4.7409446562232915,"d":"+4.7"},{"v":0.16447210640785156,"d":"0.16"}]
["2001-03-25T17:20:03.886",{"v":83.72226719336865,"d":"83.722"},2500,5000,{"v":4.768275394279044,"d":"4.8"},{"v":4.768275394279044,"d":"+4.8"},{"v":0,"d":"0.00"}]
["2001-03-25T18:13:06.827",{"v":83.75910679585184,"d":"83.759"},1500,4500,{"v":4.797625030798372,"d":"4.8"},{"v":4.797625030798372,"d":"+4.8"},{"v":0.17859565349280085,"d":"0.18"}]
["2001-03-25T21:55:32.070",{"v":83.91356562261552,"d":"83.914"},2000,3500,{"v":4.955502973559476,"d":"5.0"},{"v":4.955502973559476,"d":"+5.0"},{"v":0.07825712265688699,"d":"0.08"}]
["2001-03-25T23:23:28.911",{"v":83.97464017650286,"d":"83.975"},2000,4000,{"v":5.015993367131443,"d":"5.0"},{"v":5.015993367131443,"d":"+5.0"},{"v":0.08571388307084114,"d":"0.09"}]
["2001-03-26T00:14:55.427",{"v":84.01036374345541,"d":"84.010"},2000,4500,{"v":5.0513744074903,"d":"5.1"},{"v":5.0513744074903,"d":"+5.1"},{"v":0.09007808091201083,"d":"0.09"}]
["2001-03-26T00:54:17.327",{"v":84.03770053851646,"d":"84.038"},3000,5000,{"v":5.087473754771054,"d":"5.1"},{"v":5.087473754771054,"d":"+5.1"},{"v":-0.12632958815601028,"d":"-0.13"}]
["2001-03-26T05:28:12.709",{"v":84.22792486713121,"d":"84.228"},3500,4000,{"v":5.271108613349497,"d":"5.3"},{"v":5.271108613349497,"d":"+5.3"},{"v":0.01269242509530145,"d":"0.01"}]
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[1500,274.3516468873324,359.2074593694997,-10.196808305049615,94.35164688733238,176.5821217687917,16.746750722496863,null,33.93679163901834,-8.970553187122759,78.90515364089515,-0.7979700464969851,124.22345236560795,-8.883270133532736,170.55453757068608,-17.584590493455853,217.59402159473393,-19.76909594345002,264.50845030567143,-14.522611478376504,310.19837512273807,-13.103663849648973,354.93987391440896,-9.940195696046512]
[2000,282.9373433750366,2.6197855604512483,-4.6638587448564905,102.93734337503662,185.238943735259,8.975943707971535,null,34.128437891791975,-4.227411261101317,78.91664017755858,-0.5190887858809935,124.39936611999292,-4.713427275671297,170.93257305969018,-8.783013362739611,218.03728840698022,-9.448859317235828,264.8458974157693,-6.517941710911056,310.35616888827644,-9.26770057069001,355.1683129223095,-4.284141712703137]
[2500,291.54587970447835,11.257456419873051,0,111.54587970447835,193.87852155964356,0,null,34.29925604580785,0,78.93800802945043,0,124.59822149990941,0,171.3098322939768,0,218.44310065030004,0,265.12062712429906,0,310.44431392196566,-7.1249019521937,355.2984419011045,-1.0619015125382958]
[3000,300.17721829271704,19.888963558827527,3.8649866653142224,120.17721829271704,202.5099047209369,-9.7094378467058,null,34.44550679076929,3.619261231853344,78.95635197509546,0.4458377078773117,124.80186356623042,4.8259494009680575,171.67536057550777,8.509500748425483,218.81110848505367,8.569127398181909,265.3183425752213,4.691458191687508,310.5552833440015,-4.4269701385991365,355.3413340639963,0]
[3500,308.83127469020735,28.506903979810886,6.758132180836967,128.83127469020735,211.13023886445444,-19.989037509806256,null,34.56826475879643,6.657059172989241,78.9835517766187,1.1065745268638747,125.0082237526658,9.716118385132923,172.01469157187967,16.408906393839402,219.11215899436502,15.579439879598656,265.32814110834465,4.923928651173545,310.6114094063523,-3.0625353051964574,355.4443547548726,2.5509553115708443]
[4000,317.5079216274116,37.12304685229901,8.78514814807687,137.50792162741158,219.75052068347577,-30.620635968165903,null,34.657398365205154,8.862460522747156,79.00047316378914,1.5177242589805588,125.22212115768343,14.783824318966197,172.33686915878206,23.908620713196008,219.3655003691092,21.479156143586994,265.43617953557987,7.487559700790799,310.6787545477273,-1.4251562221520881,355.44908497680444,2.668216051077534]
[4500,326.20699369170796,45.729184805299155,9.445438927250084,146.20699369170796,228.34229630127084,-42.12785539886288,null,34.70986531395465,10.160716898725989,79.01370595116168,1.839026589490753,125.4299787451746,19.708233406673482,172.61626185674686,30.41223989940398,219.53902568120975,25.52029619093193,265.44003031699685,7.579127462104967,310.7172345073925,-0.4895234354601514,355.5119140507886,4.223885530157256]
[5000,334.9282926184294,54.326968224020675,8.75917578431056,154.9282926184294,236.94480994460173,-53.29913215087218,null,34.71178151597269,10.208291087352826,79.01397229661234,1.845565660283567,125.6381076661637,24.638035178861863,172.86895597854163,36.29409453058075,219.65314138808753,28.1779692883616,265.4852799559012,8.652759749441545,310.7373625826731,0,355.5139867288526,4.2753744376136735]
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{"sheet":"Data","index":17,"n_rows":378,"n_cols":23,"rows_kept":378}
[null,"Perihelion:",248.73120288632165,257.2486701062203,265.78877742845765,274.3516468873324,282.9373433750366,291.54587970447835,300.17721829271704,308.83127469020735,317.5079216274116,326.20699369170796,334.9282926184294,"Average =",{"$f":"ROUND(AVERAGE(C1:M1),1)","v":291.7}]
["2001-01-01","Elapsed","Year 0","Year 500","Year 1000","Year 1500","Year 2000","Year 2500","Year 3000","Year 3500","Year 4000","Year 4500","Year 5000","SoLong 2500","SD (hours)","Log(SD Hours)","FindMin1","Min2 List","FindMin2"]
[{"$f":"A$2+B3","v":"2000-12-31"},-1,-32.83581236961104,-24.87637216099808,-17.153700646888403,-10.398825857083635,-4.5910151702499205,0,3.323986979515797,5.337743067030982,6.075201328270099,5.225259299755872,2.731480365660067,279.0584642632748,{"$f":"STDEVP(C3:M3)","v":12.868680336272375},{"$f":"LOG(O3)","v":{"v":1.109534012944767,"d":"1.110"}}]
[{"$f":"A$2+B4","v":"2001-01-01"},0,-32.761936473002365,-24.848778788587268,-17.160508715667294,-10.41896768161779,-4.6118749288903595,0,3.369943425727614,5.452335367917398,6.268834092215486,5.510904964117283,3.110374989594991,280.07696846479666,{"$f":"STDEVP(C4:M4)","v":12.927996669156899},{"$f":"LOG(O4)","v":{"v":1.1115312315364079,"d":"1.112"}},{"$f":"AND(P4<P3,P4<P5)","v":false},{"$f":"IF(S4,P4,9)","v":9},{"$f":"AND(Q4,ROW()<>Min1row)","v":false},"Min 1 Log SD"]
["2001-01-02",1,-32.67484036339256,-24.810863233846217,-17.16022326110039,-10.435756967849425,-4.631967567783648,0,3.415772886549793,5.565459914991486,6.458526978364259,5.79031702278042,3.480751546412236,281.0956128168036,12.982264423858823,{"v":1.113350450631898,"d":"1.113"},{"$f":"AND(P5<P4,P5<P6)","v":false},{"$f":"IF(S5,P5,9)","v":9},false,{"$f":"MIN(P:P)","v":-0.3854052817726435}]
["2001-01-03",2,-32.575472600878385,-24.76361408217893,-17.153856863933473,-10.45003986267942,-4.651694934327429,0,3.461126732201802,5.676371971080906,6.643325782824569,6.062439728896181,3.841444727070725,282.1143608391576,13.03150694159771,{"v":1.1149946397017525,"d":"1.115"},false,9,false,{"$f":"10^T5/24","v":"00:24:42.167"}]
["2001-01-04",3,-32.4647283711574,-24.70791344586108,-17.142450418140033,-10.462578815612433,-4.671313208734822,0,3.505596924943964,5.784332457690344,6.822415537757913,6.326258203523462,4.191433178280788,283.1331778373278,13.075742049209573,{"v":1.1164663444786989,"d":"1.116"},false,9,false]
["2001-01-05",4,-32.34332521573637,-24.644556467873347,-17.12691973931706,-10.47395731384847,-4.690876649801682,0,3.5487858861993122,5.888682978358056,6.995159038572028,6.580882192553107,4.529954335734299,284.1520340787247,13.114976690848614,{"v":1.1177675230586772,"d":"1.118"},false,9,false,"Row of Min 1 Log SD"]
["2001-01-06",5,-32.21177408728453,-24.57420283231881,-17.10796205230111,-10.48451645974572,-4.7102360011517455,0,3.5903320991438927,5.988873272274904,7.161036627376833,6.825581080347789,4.856539091916831,285.1709058304259,13.149191244430284,{"v":1.1188990418841374,"d":"1.119"},false,9,false,{"$f":"MATCH(T5,P:P,0)","v":86}]
["2001-01-07",6,-32.07044704045016,-24.497401085041254,-17.086036023160492,-10.494321565137884,-4.729084857256804,0,3.6298970246549263,6.084441375253252,7.31954199183087,7.0597764863357675,5.170985071703239,286.1897744842281,13.178339590162286,{"v":1.1198606946087974,"d":"1.120"},false,9,false]
["2001-01-08",7,-31.91968808523729,-24.414625760499202,-17.061384372643445,-10.503155946277667,-4.747027230927921,0,3.667148142996317,6.1749745341073465,7.470114265268974,7.283018432661681,5.473306111745861,287.2086249675194,13.202360585961337,{"v":1.1206515901300556,"d":"1.121"},false,9,false,"SoLong @ Min 1 Log SD Row"]
["2001-01-09",8,-31.75989712038675,-24.326295970714853,-17.03406040073951,-10.510549924467966,-4.763639767649354,0,3.7017707282605774,6.260082326342952,7.612152484143725,7.494970953359457,5.763686368143212,288.2274445868388,13.221194200212226,{"v":1.1212706844339633,"d":"1.121"},false,9,false,{"$f":"INDEX(N:N,Min1row)","v":3.052960333414376}]
["2001-01-10",9,-31.591545737986756,-24.232767866513097,-17.003941972859828,-10.515854403745136,-4.778515621552178,0,3.733508773678564,6.339393486762769,7.745096266515706,7.695420877526136,6.042447010678821,289.2462226614589,13.23479464114738,{"v":1.121717206921203,"d":"1.122"},false,9,false,{"$f":"IF(T12>180,FIXED(T12-360,1),FIXED(T12,1))","v":"3.1"}]
["2001-01-11",10,-31.415130830116556,-24.134310465013932,-16.97073964253672,-10.51834910078381,-4.7912904508643175,0,3.762202302746017,6.412566748598699,7.868518055929983,7.884311863588989,6.310019241172006,290.26495060668094,13.243135748696913,{"v":1.1219908308070745,"d":"1.122"},false,9,false,{"$f":"TEXT(INDEX(A:A,Min1row),\"mmm d\")","v":"Mar 24"}]
["2001-01-12",11,-31.23110197778003,-24.03107255080098,-16.934010209571316,-10.517349961256201,-4.801657124157893,0,3.787784225592841,6.479302129684709,7.982181516695297,8.061794695979676,6.566915897336557,291.2836220160825,13.246207514270038,{"v":1.1220915543947336,"d":"1.122"},false,9,false]
["2001-01-13",12,-31.0397978023049,-23.923039674936753,-16.893178405841407,-10.51227477001306,-4.809374615955548,0,3.8102290622274944,6.539349659646261,8.086057251328985,8.228271547539808,6.813699023636159,292.3022326042119,13.244005008266903,{"v":1.122019336310042,"d":"1.122"},{"$f":"AND(P16<P15,P16<P17)","v":false},9,false,"For Marker 1 Line Plot"]
["2001-01-14",13,-30.841406704683283,-23.80998389868228,-16.847564104431605,-10.50264973102309,-4.814271506611221,0,3.8294835296683587,6.5925212861536195,8.180314308643792,8.384401453945488,7.050945311897743,293.3207801155804,13.236512722506959,{"v":1.1217735814133822,"d":"1.122"},false,9,false,{"$f":"T19&\" days (\"&FIXED(T12,1)&\"°)\n= \"&TEXT(INDEX(A:A,T9),\"mmm d\")","v":"82 days (3.1°)\n= Mar 24"}]
["2001-01-15",14,-30.63595015741535,-23.69142668150499,-16.796415392244267,-10.48807506814421,-4.816239107889276,0,3.8454236401718607,6.638708039457391,8.26530547827425,8.531041353623424,7.279212809014913,294.3392642479739,13.223689196027397,{"v":1.1213526332103585,"d":"1.121"},false,9,false,"Date","Hours"]
["2001-01-16",15,-30.423281344584325,-23.566646541021097,-16.73895092468324,-10.468185598636842,-4.8152076340423475,0,3.8578648953550774,6.677897731256242,8.34154907165003,8.669127884826468,7.4990117816707444,295.3576864838542,13.205458042157497,{"v":1.12075346966498,"d":"1.121"},false,9,false,{"$f":"INDEX(B:B,T9)","v":82},{"$f":"-U20","v":-56}]
["2001-01-17",16,-30.203094095266948,-23.43474898531448,-16.674409658231998,-10.442631558859054,-4.811105408891554,0,3.866618049499156,6.710189690643051,8.409701931842765,8.7995431151845,7.710782046196505,296.3760497462936,13.181710204323238,{"v":1.1199717595840246,"d":"1.120"},false,9,false,{"$f":"T19","v":82},{"$f":"SelMax","v":56}]
["2001-01-18",17,-29.974938685309347,-23.294781366009392,-16.602097310424295,-10.411080772776486,-4.8038150849743095,0,3.871559274309782,6.735812297854064,8.470523460395952,8.923022365859637,7.914877694041338,297.3943579751649,13.152317737505863,{"v":1.1190022921347416,"d":"1.119"},false,9,false]
["2001-01-19",18,-29.738241555176696,-23.14584744929514,-16.52141822276672,-10.373228939628522,-4.79315250101692,0,3.872683757962659,6.755151135212688,8.524837102888013,9.040137685516392,8.111560007973189,298.4126157957071,13.117154074321236,{"v":1.1178396198042893,"d":"1.118"},false,9,false]
["2001-01-20",19,-29.492328269937815,-22.987179160297217,-16.431890817395484,-10.328808925213744,-4.778889956229371,0,3.8701285885524563,6.7687805545393935,8.573493190168374,9.151342814303966,8.301000708465722,299.43082828770275,13.076112923010376,{"v":1.1164786624152545,"d":"1.116"},false,9,false,"Min 2 Log SD"]
["2001-01-21",20,-29.236453948561707,-22.8181531792648,-16.33315365118763,-10.277600606641519,-4.760822562514988,0,3.864168008174207,6.777471030951531,8.617329701792556,9.257031847718855,8.483299500912066,300.4490006490669,13.029119666175635,{"v":1.1149150728854134,"d":"1.115"},false,9,false,{"$f":"MIN(R:R)","v":0.897719624842534}]
["2001-01-22",21,-28.969846687265655,-22.638272294511466,-16.22496617899146,-10.219445602608838,-4.738847697846424,0,3.855191763965953,6.782141966591414,8.65712641904531,9.357568026054333,8.65851641689513,301.46713755943347,12.976133396848835,{"v":1.1131453015108514,"d":"1.113"},false,9,false,{"$f":"10^T24/24","v":"07:54:06.060"}]
["2001-01-23",22,-28.691764947075125,-22.447142770541706,-16.10719897974133,-10.154265226678186,-4.71301629062557,0,3.8436752804674197,6.7837551445056565,8.693556225593694,9.453271684288476,8.82670752515225,302.48524228771566,12.917141653137906,{"v":1.1111664222034932,"d":"1.111"},false,9,false]
["2001-01-24",23,-28.401562318569304,-22.244468300317735,-15.979808369300999,-10.082076812755641,-4.683532640020773,0,3.8301450711781473,6.783181107331722,8.72714315319812,9.544384814663584,8.987938057438155,303.5033157505968,12.852151296784832,{"v":1.108975829466784,"d":"1.109"},false,9,false,"Row of Min 2 Log SD"]
["2001-01-25",24,-28.098750510007626,-22.030065331522234,-15.84280739983245,-10.003009462299671,-4.650714285128259,0,3.815138005295533,6.781087912030442,8.75823171430493,9.631032912958885,9.142245700470976,304.5213556000963,12.781178877975629,{"v":1.106570913023286,"d":"1.107"},false,9,false,{"$f":"MATCH(T24,P:P,0)","v":319}]
["2001-01-26",25,-27.783054118504456,-21.80389489121306,-15.696263524041425,-9.917327283519088,-4.614947100388841,0,3.7991518912005713,6.777885627370716,8.786962042135304,9.71318970406253,9.28954863126911,305.5393551752495,12.70424332942154,{"v":1.103948803377497,"d":"1.104"},false,9,false]
["2001-01-27",26,-27.4544529372324,-21.566102543098808,-15.540347783502076,-9.825463015324065,-4.576664019420723,0,3.7825885707890747,6.773725489202772,8.813246791093983,9.790641448014883,9.42953049541664,306.55730220722035,12.621363577772193,{"v":1.1011062774367548,"d":"1.101"},false,9,false,"SoLong @ Min 2 Log SD Row"]
["2001-01-28",27,-27.113201823508614,-21.317051765583646,-15.375424420557687,-9.728046956382304,-4.536345472880721,0,3.765700212709364,6.768530724480201,8.836762014854344,9.862956824649837,9.561562462596369,307.5751776594552,12.532562056971907,{"v":1.0980398637685334,"d":"1.098"},false,9,false,{"$f":"INDEX(N:N,Min2row)","v":229.26147728264914}]
["2001-01-29",28,-26.759811204174095,-21.057329393593346,-15.202129325229967,-9.625902572823467,-4.494513658500136,0,3.7485583203870156,6.7620397492531215,8.856977778490085,9.929483047993568,9.684715617568877,308.5929555736948,12.437872014741478,{"v":1.0947460836257987,"d":"1.095"},false,9,false,{"$f":"IF(T31>180,FIXED(T31-360,1),FIXED(T31,1))","v":"-130.7"}]
["2001-01-30",29,-26.39497548783716,-20.78770583279625,-15.021377062325051,-9.51998783012458,-4.451693844146228,0,3.731063656146724,6.753858696214645,8.873241977761547,9.989387109055448,9.79787429954027,309.61060466992785,12.33734338731233,{"v":1.0912216526922622,"d":"1.091"},false,9,false,{"$f":"TEXT(INDEX(A:A,Min2row),\"mmm d\")","v":"Nov 12"}]
["2001-01-31",30,-26.019459459048285,-20.509054066466465,-14.834273531507549,-9.411289019746318,-4.408342682821032,0,3.712998498049358,6.74352566920882,8.884893074702255,10.04173809841733,9.899908436338318,310.6280915563693,12.231041967485742,{"v":1.0874634563374808,"d":"1.087"},false,9,false]
["2001-02-01",31,-25.633982199239753,-20.22225855255544,-14.641968303113705,-9.30070019352485,-4.364772359143036,0,3.694098679775709,6.730576943728195,8.891345225097835,10.08560064208182,9.989835743285054,311.6453843525378,12.119040690395506,{"v":1.0834682436457304,"d":"1.083"},false,9,false,"For Marker 2 Line Plot"]
["2001-02-02",32,-25.23914956740555,-19.928154510374853,-14.44551335815547,-9.188925499229219,-4.32110671336525,0,3.674110341097988,6.7145917494782905,8.892096425988791,10.120103753079524,10.0669184819676,312.6624551875575,12.00140734521799,{"v":1.0792321765830069,"d":"1.079"},false,9,false,{"$f":"IF(ISNA(T28),\"Not Found\",T38&\" days (\"&FIXED(T31,1)&\"°)\n= \"&TEXT(INDEX(A:A,T28),\"mmm d\"))","v":"315 days (229.3°)\n= Nov 12"}]
["2001-02-03",33,-24.835465249580682,-19.62751942514013,-14.245780495021798,-9.076423747495053,-4.277287512358144,0,3.6528080158037333,6.695197276375654,8.886659874536301,10.144468979578173,10.13068124485415,313.67928073822986,11.878196079682576,{"v":1.074750490129527,"d":"1.075"},false,9,false,"Date","Hours"]
["2001-02-04",34,-24.423406800546974,-19.32110340640063,-14.04344470777927,-8.963393328633357,-4.233122055587265,0,3.6299796625994043,6.672038582575097,8.874473316512315,10.158008906059603,10.180875372597407,314.69584117655177,11.749447903690992,{"v":1.070017459968288,"d":"1.070"},false,9,false,{"$f":"INDEX(B:B,T28)","v":315},{"$f":"U19","v":-56}]
["2001-02-05",35,-24.00351698132909,-19.00966159875899,-13.839003278271997,-8.849788294328414,-4.188346879308084,0,3.6054072810411646,6.644739423101806,8.854856496024718,10.160121048184799,10.21742886925075,315.71211868486716,11.615199803305293,{"v":1.0650266848832726,"d":"1.065"},false,9,false,{"$f":"T38","v":315},{"$f":"U20","v":56}]
["2001-02-06",36,-23.57645662689944,-18.69395613353,-13.632795156647513,-8.735361872403486,-4.142683791983695,0,3.5788691381551963,6.6128807816031445,8.827050521767639,10.150297526048922,10.240408838857537,316.7280965669779,11.475497158093447,{"v":1.0597715097508675,"d":"1.060"},false,9,false]
["2001-02-07",37,-23.14299344008426,-18.374719481631708,-13.42500570585805,-8.619735982445619,-4.095876554927948,0,3.550163933150025,6.5760051485494335,8.790316862333883,10.12815695190707,10.250001827837842,317.74375923967455,11.330402887196618,{"v":1.0542453528091569,"d":"1.054"},false,9,false]
["2001-02-08",38,-22.703938317450984,-18.05259329097571,-13.215662807555322,-8.50248495871376,-4.047707821295017,0,3.5191317589704023,6.533636399950203,8.744041725951677,10.093493443459062,10.24650350897573,318.7590927448182,11.179999117394134,{"v":1.0484417692649954,"d":"1.048"},false,9,false]
["2001-02-09",39,-22.26006224931523,-17.72806211297731,-13.004635808308079,-8.3832072165569,-3.998001039492477,0,3.4856453680212423,6.485302249935802,8.687803428150783,10.046329427065976,10.230307035954072,319.77408530624234,11.024380734106531,{"v":1.0423542034628848,"d":"1.042"},false,9,false,"Hours","Log Hours","2002-01-02","Labels"]
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["2001-02-11",41,-21.36032156903049,-17.072608230610413,-12.576263071675768,-8.137235781945028,-3.8934154735140005,0,3.4107118451882013,6.369006710650507,8.54482159919293,9.915903803450929,10.161761631528965,321.80301363934996,10.697865874146693,{"v":1.0292971485708575,"d":"1.029"},false,9,false,{"$f":"1/8","v":0.125},-0.9030899869919435,{"$f":"V44","v":"2002-01-02"},"1/8"]
["2001-02-12",42,-20.905268827861068,-16.741447659837775,-12.357966300250117,-8.00994151712478,-3.8382829119892854,0,3.3688089074013887,6.300348710245532,8.458287783496324,9.833927662688094,10.110490451680986,322.81693969265325,10.527102447596732,{"v":1.0223088494202448,"d":"1.022"},false,9,false,{"$f":"1/6","v":0.16666666666666666},-0.7781512503836436,{"$f":"V45","v":"2002-01-02"},"1/6"]
["2001-02-13",43,-20.446987276761902,-16.407424505027457,-12.136145159496795,-7.87934104145263,-3.781062412422655,0,3.3235509935100547,6.22440429328553,8.362185544635205,9.741854546436684,10.04862390189883,323.8305055189121,10.35137138786897,{"v":1.0149978905397552,"d":"1.015"},false,9,false,0.25,-0.6020599913279624,{"$f":"V46","v":"2002-01-02"},"1/4"]
["2001-02-14",44,-19.985410538069594,-16.069882854291496,-11.910164905302768,-7.745051162926728,-3.721554457202381,0,3.2746492069692956,6.141153913417374,8.25707384367893,9.640498520406727,9.976698881143754,324.84371353531606,10.170661420458652,{"v":1.0073491969655093,"d":"1.007"},false,9,false,{"$f":"1/3","v":0.3333333333333333},-0.47712125471966244,{"$f":"V46","v":"2002-01-02"},"1/3"]
["2001-02-15",45,-19.520294686308155,-15.728092040968805,-11.679407854625676,-7.60664861179688,-3.6594981280820056,0,3.221907508104512,6.05076458062929,8.143652407045765,9.530592782604874,9.89522915406124,325.85656863296754,9.984944475131808,{"v":0.9993456541630648,"d":"0.999"},false,9,false,0.5,-0.3010299956639812,{"$f":"V47","v":"2002-01-02"},"1/2"]
["2001-02-16",46,-19.0512323980706,-15.381326860775568,-11.443301632107195,-7.463689294948367,-3.5945787967821095,0,3.1652756505566346,5.953614424232,8.022732323350912,9.412793383108445,9.80470719137976,326.8690779178869,9.79419375752357,{"v":0.9909686913700657,"d":"0.991"},false,9,false,{"$f":"3/4","v":0.75},-0.12493873660829995,{"$f":"V49","v":"2002-01-02"},"3/4"]
["2001-02-17",47,-18.57767144104628,-15.028911243894205,-11.201325502688917,-7.31572877273008,-3.5264666589376445,0,3.104870840869431,5.850307080142499,7.895204685052297,9.287730181213856,9.705611960955899,327.8812504828966,9.5983996660823,{"v":0.9821988294847557,"d":"0.982"},false,9,false,1,0,{"$f":"V50","v":"2002-01-02"},{"$f":"T51","v":1}]
["2001-02-18",48,-18.09894351662016,-14.670224346643721,-10.953003025607845,-7.1623448957886175,-3.4548809001918155,0,3.040970647603801,5.741656349739378,7.762002133541349,9.15605799675881,9.59841901347146,328.8930969745561,9.3975781621339,{"v":0.9730159465425172,"d":"0.973"},false,9,false,{"$f":"3/2","v":1.5},0.17609125905568124,{"$f":"V51","v":"2002-01-02"},{"$f":"T52","v":1.5}]
["2001-02-19",49,-17.614310697166236,-14.304689612551895,-10.697894664454742,-7.003167276960597,-3.3796573972786486,0,2.973985734805878,5.62862228409597,7.624048164200019,9.018467894877839,9.483607450011743,329.9046287063102,9.191770255902824,{"v":0.963399160823769,"d":"0.963"},false,9,false,2,0.3010299956639812,{"$f":"V52","v":"2002-01-02"},{"$f":"T53","v":2}]
["2001-02-20",50,-17.12303204040453,-13.931772266521593,-10.435599466706325,-6.837913418222702,-3.3007921139422387,0,2.90442017260621,5.512201080369563,7.482197941670595,8.875650018025762,9.361653314488256,330.91585630143527,8.981035322231872,{"v":0.9533264044640349,"d":"0.953"},false,9,false,{"$f":"5/2","v":2.5},0.3979400086720376,{"$f":"V53","v":"2002-01-02"},{"$f":"T54","v":2.5}]
["2001-02-21",51,-16.62444301355716,-13.550998661340827,-10.165768416360523,-6.666426159298912,-3.218444824129539,0,2.832824635673346,5.3932998071251435,7.337183012774075,8.728228111151422,9.232994789763199,331.9267881065316,8.765442419781412,{"v":0.9427738412079882,"d":"0.943"},false,9,false,3,0.47712125471966244,{"$f":"V54","v":"2002-01-02"},{"$f":"T55","v":3}]
["2001-02-22",52,-16.118032642695002,-13.161995065663767,-9.888131850705015,-6.488708442559548,-3.1329106731728356,0,2.7597467443367,5.272639273516294,7.1895710983677565,8.576692509071888,9.097960425640453,332.937428664678,8.54506302795469,{"v":0.9317152704028033,"d":"0.932"},false,9,false,4,0.6020599913279624,"2002-01-02",4]
["2001-02-23",53,-15.603501364472084,-12.764534525793529,-9.602545976272305,-6.304955526023512,-3.0445826148773265,0,2.6856824453185877,5.150713137282637,7.039743235408179,8.421346604750006,8.95667086497248,333.9477774084662,8.31996691202722,{"v":0.9201215991329632,"d":"0.920"},false,9,false,5,0.6989700043360189,"2002-01-02",5]
["2001-02-24",54,-15.080786434542102,-12.358579089263225,-9.309058542091737,-6.115582749497864,-2.9539236769488983,0,2.611032851300212,5.027800835021724,6.887885467164415,8.262270011554978,8.808948737112551,334.9578276742541,8.09022162814511,{"v":0.9079604190859503,"d":"0.908"},false,9,false,6,{"$f":"LOG(T58)","v":0.7781512503836436},"2002-01-02",6]
["2001-02-25",55,-14.550048608939028,-11.944305255772298,-9.007976850113314,-5.921236945475442,-2.861449125330847,0,2.5360729066620076,4.904010262149275,6.733996827019626,8.09930148872709,8.654282619547633,335.9675662833615,7.855895401753635,{"v":0.8951956923522602,"d":"0.895"},false,9,false,7,0.8450980400142568,"2002-01-02",7]
["2001-02-26",56,-14.011622008978176,-11.522101515289968,-8.699904978459974,-5.722772075996795,-2.767702790863787,0,2.4609402331221633,4.779326258229772,6.577921053991612,7.932049462194126,8.491875302126003,336.976974090212,7.617061955972335,{"v":0.8817874880900994,"d":"0.882"},false,9,false,8,0.9030899869919435,"2002-01-02",8]
["2001-02-27",57,-13.465939362231108,-11.092532707248264,-8.38571927797418,-5.521176738513208,-2.6732135932376146,0,2.385650750803332,4.653654799933002,6.419402745092421,7.759935134690281,8.320768747795627,337.9860277310363,7.373804558198817,{"v":0.8676916224997376,"d":"0.868"},false,9,false,{"$f":"T60+2","v":10},1,"2002-01-02",10]
["2001-02-28",58,-12.913455478928716,-10.65627982454921,-8.066477982913472,-5.317463047469969,-2.57843595277719,0,2.310138728343103,4.526861985314816,6.258148767387514,7.582258849954964,8.14000156540074,338.9947022460983,7.126216395066281,{"v":0.8528590060245805,"d":"0.853"},false,9,false,{"$f":"T61+2","v":12},1.0791812460476249,"2002-01-02",12]
["2001-03-01",59,-12.35459733513063,-10.214079455445034,-7.7432958398959935,-5.1125482442947705,-2.4836955333669297,0,2.2343065424013324,4.398803937994103,6.09386078706186,7.398266926775416,7.948741423432897,340.0029736578872,6.874396392706409,{"v":0.8372345708913518,"d":"0.837"},false,9,false,14,1.146128035678238,"2002-01-02",14]
["2001-03-02",60,-11.789761722797477,-9.766690550060662,-7.417231893890184,-4.907165123056144,-2.3891641380356257,0,2.158062941230255,4.2693370827716866,5.926214732355422,7.207197231710841,7.7463540880166875,341.0108204969729,6.618442912181474,{"v":0.8207558271755985,"d":"0.821"},false,9,false,17,1.2304489213782739,"2002-01-02",17]
["2001-03-03",61,-11.219361224327136,-9.314900902537598,-7.089225275517972,-4.701822120668335,-2.29487339787877,0,2.081335271243642,4.138301620309149,5.754797320710908,7.008298665209143,7.532406289453075,342.01822383498074,6.358449947925932,{"v":0.8033512569834791,"d":"0.803"},false,9,false,20,1.3010299956639813,"2002-01-02",20]
["2001-03-04",62,-10.643895298577592,-8.859558628443565,-6.760081041960599,-4.4968110214794885,-2.2007577199115476,0,2.004058034937994,4.005485361202306,5.579043867893568,6.800838725879763,7.306628986527514,343.0251662431983,6.094509345294302,{"v":0.7849387473278858,"d":"0.785"},false,9,false,24,1.380211241711606,"2002-01-02",24]
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[]
["Leap Days Per Cycle:",null,71]
["Cycle Length:",null,293,"years = ",15288,"weeks =",107016,"days"]
["Cycle Mean Year:",null,"365+71/293","days =",365.24232081911265,"days =","365d 5h 48m 56+152/293s"]
["Step Size:",null,500,"years =",0,"cycles",{"$f":"C371/C372","v":0.24232081911262798}]
[]
[{"$f":"\"Solar Calendar Seasons for \"&IF(StepSize=YPC,\"Symmetrical \",\"\")&C372&\"-Year Leap Cycle\"","v":"Solar Calendar Seasons for 293-Year Leap Cycle"}]
[{"$f":"\"Mean Year ≡ \"&C373&\" days ≡ \"&G373&\" \"&IF(LEN(G374)<17,\"≡\",\"≈\")&\" 365\"&MID(G374,2,30)&\" days\"","v":"Mean Year ≡ 365+71/293 days ≡ 365d 5h 48m 56+152/293s ≈ 365.242320819112628 days"}]
[{"$f":"\"Cross-Over Analysis for \"&IF(StepSize=YPC,\"Symmetrical \",\"\")&C372&\"-Year Leap Cycle\"","v":"Cross-Over Analysis for 293-Year Leap Cycle"}]