Your numbers are correct, but your interpretation of them may not be, if you think they are problematic.
When you (for example) say "50ft/59, RNT@21, TT@80" that should mean: after dive #1 to 83 ft for 18 minutes followed by a 3h surface interval, you did dive #2 to 60 ft for 32 minutes, followed by a 1h surface interval, and then you consider dive #3 to 50 ft, and you have a No Decompression Limit of 59 minutes. That is because the total time allowed at 50 ft is 80 minutes, and you have a residual nitrogen level already in your body of 21 minutes, so only 59 minutes still remain to be used.
If this is what you understand, then what is the problem?
Also, when you say "Navy tables," which ones do you mean? There are many.....
---------- Post added May 17th, 2015 at 10:08 PM ----------
Your numbers are correct, but your interpretation of them may not be, if you think they are problematic.
When you (for example) say "50ft/59, RNT@21, TT@80" that should mean: after dive #1 to 83 ft for 18 minutes followed by a 3h surface interval, you did dive #2 to 60 ft for 32 minutes, followed by a 1h surface interval, and then you consider dive #3 to 50 ft, and you have a No Decompression Limit of 59 minutes. That is because the total time allowed at 50 ft is 80 minutes, and you have a residual nitrogen level already in your body of 21 minutes, so only 59 minutes still remain to be used.
If this is what you understand, then what is the problem?
Also, when you say "Navy tables," which ones do you mean? There are many.....
Additional:
I had some old IANTD, TDI, and Navy tables lying around, so took a look at them.
The IANTD and TDI tables (c2004-2005) were both based on Buhlmann; they both said your dive #3 to 50 ft had 59 mins NDL (just like the PADI table!).
The Navy table gave 44 mins for dive #3 to 50 ft. The Navy table appears to be the same as the one in the NOAA Dive Manual, which is the 1999 Navy version.
I checked the NAUI website for their tables. They are essentially the same as the Navy tables, of course, except they give a shorter NDL. Thus, dives #1 and #2 come out the same as the Navy table, because neither dive hits the NDL. Dive #3 has the same RNT at 50 ft (56 mins), but only 24 mins NDL remain instead of the 44 mins on the Navy table....that is just NAUI's conservatism approach with the shorter NDLs than Navy uses.
In summary, for your dive #3 to 50 ft, your allowed NDL is 59 mins (PADI/IANTD/TDI), 44 mins (Navy), and 24 mins (NAUI).
Is this what you got?
Best of all, the differences are completely understandable and not a surprise.