GRB 080721***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), J. R. Cummings (GSFC/UMBC), N. Gehrels (GSFC), H. A. Krimm (GSFC/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-789 to T+962 sec from the recent telemetry downlink, we report further analysis of BAT GRB 080721***A*** (trigger #317508) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 224.477, -11.709 deg which is RA(J2000) = 00h 00m 00.0s Dec(J2000) = +00d 00' 00.0" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 4%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 129.7 +- 114.5 sec (estimated error including systematics). The time-averaged spectrum from T-10.2 to T+360.1 sec is best fit by a simple power-law model. The power law index of the time-averaged spectrum is 1.13 +- 0.08. The fluence in the 15-150 keV band is 1.6 +- 0.1 x 10^-05 erg/cm2. The 1-sec peak photon flux measured from T-0.15 sec in the 15-150 keV band is 20.5 +- 1.8 ph/cm2/sec. All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/317508/BA/