15-pin to RS232 wiring diagram

anybody should confirm me the wiring diagram between db9 (pc) and db15 (ax 2550)?
mine was badly damage

so
#2 (of db9)>> connected to >> #2 (of db15)
#3 (of db9)>> connected to >> #3 (of db15)
#5 (of db9)>> connected to >> #5 (of db15)

and inside the 15db plug

# 13 > connected to > #6
# 14 > connected to > #7

is that good?;

Best regards

This is correct

merci beaucoup, thanks a lot.