s513.py

from research import *
xs={'Mahalalel':1731,'Shem':5526,'Shelah':2421,'Eber':9321,'Terah':3226,'Abraham':2076,'Moses':1616,'Flood_countdown':8516,'Affliction_hub':1846}
s=begin(513,'One rule generates the14726 family','Can the complete set of Creation-held results be compressed into one affine formula?',{'inverse_coordinates':xs,'held_anchor':14726},['File52c §§3.7.3,3.11.4','C509,C512'])
r={n:{'k':F(x-6,115),'complement_k':F(14726-x,115),'Creation_held':14726-E*(14726-x),'Nativity_held':6+E*(x-6)} for n,x in xs.items()}
finish(s,{'normal_form':'X=6+115k;14726=6+115*128;Creation-held result=125k−1274;Nativity-held result=125k+6','members':r},
 'Nine outputs follow from one formula and the supplied member coefficients. The1280 anchor-change difference is uniform. This compresses the calculation, while the nine source selections and their k values remain inputs needing explanation.',
 'Test a whole three-node relation under the formula: the Abraham–affliction–Moses midpoint.',{'integral_k':all(v['k'].denominator==1 for v in r.values()),'formula':all(v['Creation_held']==125*v['k']-1274 for v in r.values()),'shift':all(v['Nativity_held']-v['Creation_held']==1280 for v in r.values())})