s590.py

from research import *
s=begin(590,'Prove the ordinary Enoch center condition','When is Matthew birth the center of Luke birth and Enochic ascension?',{'birth_counts':[70,56,43],'local_gap':'g'},['File69 §§2.12–2.13,3.4–3.5'])
out=[]
for g in [70,72]:
 u=g;L,M,Q=[n*u-64 for n in [70,56,43]];out.append([L,M,Q-g,L-M,M-(Q-g)])
finish(s,{'triples_and_arms':out,'symbolic_residual':'(u−g)/2','condition':'u=g'},'The ordinary center follows from the count relation70+43−2×56=1 and the local ascension subtraction g. Equal arms are980 or1008. It is a derived center, not an independently fitted midpoint.','Determine which endpoint roles preserve a center at generation resolution.',{'count_identity':70+43-2*56==1,'centers':all(a==b for L,M,Q,a,b in out)})