step,expression,value,classification,meaning,source Input,460 = 20 × 23,460,Source-retained Nativity model input,Associated with John-conception / Jesus-birth comparison; not an exact Gospel interval,File_13 §7.3 Operator,25/23,25/23,Exact-rational Key-of-23 expansion,Same declared units on input and output; no dated endpoint assigned,File_13 §7.3; File_17 Output,460 × 25/23 = 500,500,Arithmetic fact under declared operator,20 units of 25,File_13 §7.3 Gain,500 − 460 = 40,40,Arithmetic fact; typological correspondence,Matches the counted purification total; does not change its 39 elapsed days,File_13 §§7.2–7.3