from research import *
s=begin(1021,'Conditional NT metric recovery','Which retained source relation determines the70-year unit?',{'BJ_trunk':2450,'slots':35},['File54 §6','C1020'])
from algebra import Matrix
M=Matrix([[P-1,-1],[0,35]]);sol=M.gauss_jordan_solve(Matrix([0,2450]))[0]
finish(s,{'rank':M.rank(),'Enoch_radius_and_slot':list(sol),'retained_condition':'BJ2450 occupies35 supplied slots'},'The additional35-slot/2450 relation determines u=70 and w=4830. It supplies the metric information absent from the Key knot alone.','Separate metric identification from absolute placement.',{'rank_two':M.rank()==2,'source_metric':list(sol)==[4830,70]})