from research import *
s=begin(576,'Generate the quarter-carrier ladder','Can all five source scales follow from40→40.25?',{'multipliers':[3,10,12,30,300],'base_pair':[40,F(161,4)]},['File63 §§1.1–1.4,4.6'])
rows=[[m,40*m,F(161*m,4),F(m,4)] for m in [3,10,12,30,300]]
finish(s,{'multiplier_base_carrier_excess':rows,'ratio':F(161,160)},'One source replacement40→40.25 generates the entire ladder, including480→483 and12000→12075. The quarter-phase carrier is a scalar construction, not an additional biological generation unit.','Compose the carrier replacement with existing Keys.',{'constant_ratio':all(F(b,a)==F(161,160) for m,a,b,d in rows),'excess':all(b-a==d for m,a,b,d in rows)})