from research import *
s=begin(540,'Joseph’s double147 and the household bracket','How does the14-year household interval fit inside the larger lattice?',{'Jacob_call':1714,'Levi_birth':1704,'Joseph_birth':1700,'Levi_death':1567,'Conquest':1406},['File60 §§2.5,2.7'])
finish(s,{'household_parts':[1714-1704,1704-1700],'call_Levi_death_parts':[1714-1700,1700-1567],'Joseph_Conquest_parts':[1700-1567,1567-1406],'double147':1700-1406},
 'The14=10+4 bracket lies inside the147 call-to-Levi-death span, leaving133. Joseph’s294 then decomposes as133+161=2×147. This joins the household and Covenant structures through an existing hinge, while its double-portion interpretation remains a separate reading.',
 'Test the full biography translations linking the principal, full430 and localized−33 states.',{'household':10+4==14 and 14+133==147,'double':133+161==2*147==294})