from research import *
s=begin(586,'Unify calendar and paired-endpoint equalities','What single normalized comparison underlies the calendar Keys and earlier common endpoints?',{'calendars':[336,360,364],'Keys':[E,P,J]},['File12 §§2,6.3; C535; C568–C575'])
K=[336*E,360*P,364*J];ratios=[E/P,E/J,P/J]
finish(s,{'calibration_constant':K,'Key_ratios':ratios,'calendar_decomposition':[2*24*7,336+28,364-4]},'All Keys satisfy d×K_d=8400/23, hence K_d(s)=(8400/23)(s/d). Equal normalized durations explain the calendar-volume agreements and the earlier1566/2926 paired endpoints when anchor and direction also agree.','Test the Enochic source family for a similarly compact parameter rule.',{'constant':len(set(K))==1,'ratios':ratios==[F(15,14),F(13,12),F(91,90)],'calendars':[2*24*7,336+28,364-4]==[336,364,360]})