s1161.py

from research import *
from algebra import Matrix
s=begin(1161,'Parametrize the early six-row source block','How much of the Arphaxad/Shelah field follows from equal remainders and shared changes?',{},['C1160','C1154'])
def outputs(s,g,r,u,a):
 return [s+g,s+g+r,s,s+r,s+g+u,s+g+r,s+u,s+r,s+g+u,s+g+r+a,s+u,s+r+a]
basis=[outputs(*[int(i==j) for i in range(5)]) for j in range(5)];M=Matrix(basis).T;params=[30,5,403,100,27];v=outputs(*params)
a=artifact('model/postflood_early_block_rank.json',json.dumps(clean({'parameters':['MT_Shelah_b','Arphaxad_minus_Shelah_b','MT_shared_r','u','a'],'source_parameters':params,'output_order':'MT,SP,LXX; Arphaxad b,L then Shelah b,L','matrix':M.tolist(),'rank':M.rank(),'outputs':v,'scope':'source-conditioned early block, not independent origins of its5 coordinates'}),indent=2)+'\n')
finish(s,{'early_block_model':a,'rank':M.rank(),'outputs':v},'Five coordinates describe the twelve early b/L values once the equal-remainder and shared-change relations are held. The source35/30 difference and common403 remainder have distinct roles from the100 and27 transformation amplitudes.','Compare the late Peleg/Reu/Serug block, where the conserved quantity changes.',{'rank5':M.rank()==5,'source_block':v==[35,438,30,433,135,438,130,433,135,465,130,460]})