  We present a detailed X-ray spectral analysis of a complete sample of hard
X-ray selected AGN in the Northern Galactic Cap of the 58-month Swift Burst
Alert Telescope (Swift/BAT) catalog, consisting of 100 AGN with b>50deg. This
region has excellent potential for further study due to the availability of a
wide range of archival multi-wavelength data, and we propose it as a
low-redshift analog to the `deep fields' work on AGN at higher redshifts. We
present distributions of luminosity, absorption, and other key quantities, from
fitting new and archival X-ray data gathered from XMM-Newton, Swift/XRT, ASCA
and Swift/BAT. We probe to deeper redshifts than the 9-month BAT catalog
(<z>=0.043), and uncover a broader absorbing column density distribution. The
fraction of obscured (log N_H >= 22) objects in the sample is ~60%, and 43--56%
of the sample exhibits `complex' 0.4--10keV spectra.
  The soft excess is either well-detected in AGN or undetected, suggesting that
the process responsible for producing the soft excess is not ubiquitous. The
fraction of Compton-thick sources in our sample is ~9%, and `hidden/buried AGN'
constitute ~14% of our sample. Compton reflection is found to be important in a
large fraction of our sample using joint XMM-Newton+BAT fits (reflection
amplitude <R> = 2.7 +/- 0.75), indicating light bending or extremely complex
absorption. The average 1--10keV spectrum for the sample reproduces the
1--10keV X-ray background slope as found for the 9-month BAT AGN sample. The
completeness limit for the sample is ~4 times fainter than that for the 9-month
catalog (abridged).
