from research import *
s=begin(685,'Close the three-calendar micro triangle','Do all three existing Keys yield one calibrated volume at34.5?',{'seed':F(69,2),'calendar_lengths':[336,360,364],'operators':['E','P','J']},['Supplement A §6; C631 common calibration'])
u=F(69,2); outputs=[E*u,P*u,J*u]; volumes=[d*x for d,x in zip([336,360,364],outputs)]
finish(s,{'converted_counts':outputs,'calendar_volumes':volumes,'common_volume':volumes[0]},'At the micro seed34.5, all three calibrated routes meet at12600:336×E(s)=360×P(s)=364×J(s). The Priestly route completes the source’s P/J comparison using the already established common-calibration identity.','Explain the exact twentyfold relation between the micro seed and the native690 core.',{'three_routes':volumes==[12600]*3,'P_count':outputs[1]==35,'E_count':outputs[0]==F(75,2)})