from research import *
s=begin(986,'Second calibration compatibility','Does the336/364 and last-twenty-sixth pair recover the same E?',{},['C984','File63 §§7.3–7.4'])
from algebra import Matrix
M=Matrix([[336,-364],[1,-26]]);sol=M.gauss_jordan_solve(Matrix([0,-25]))[0]
finish(s,{'solution':list(sol),'determinant':M.det()},'The second retained pair recovers the same E and J=300/299. The agreement concerns compatibility of calendar and allocation constraints, not a fresh derivation from the partitions alone.','Find the exact dependency among the four equations.',{'unique':M.det()!=0,'same_E':list(sol)==[E,J]})