from research import *
nodes={'MT':(4114,3056),'LXX':(5494,3836),'SP_equalized':(4414,3706)}
s=begin(504,'Cross-tradition range of the tenfold529 placement','Does12026=1446+10(Creation−NoahG1) transfer to the declared comparison states?',nodes,['File18 comparison rows','File52c §§3.14–3.15','C481'])
r={k:{'Creation_Noah_width':r-n,'tenfold_width':10*(r-n),'residual_against_10580':10*(r-n)-10580,'width_mod529':(r-n)%529} for k,(r,n) in nodes.items()}
finish(s,r,'Only the selected MT width1058=2×529 satisfies the fixed tenfold placement. LXX1658 and SP708 miss by6000 and−3500 after scaling. The shared529 duration rule can still organize other sourced families without making this MT input universal.',
 'Derive that duration rule independently of endpoints and compare C480’s smaller ladder with the rounded macro ladder.',{'MT':r['MT']['residual_against_10580']==0,'misses':[r[k]['residual_against_10580'] for k in ['LXX','SP_equalized']]==[6000,-3500]})