Physics aside. The rear wheel max hp and tq of a stock 2005 Rocket III with the cat installed and stock mufflers was about 127 and 145, respectively.
For my 2005 RIII with cat removed and Triumph off road mufflers, the numbers were 139 and 150. This was with a custom dyno tune for this configuration by Wayne MacDonald (Tuneboy).
For my 2007 RIII with full Jardine Rumbler exhaust and individual K&an filters on the throttle bodies, the numbers with a stock tune were 146 and 153. After a dyno tune, the numbers were 152 and 162. Dyno charts attached.