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We present a detailed X-ray spectral analysis of a complete sample of hardX-ray selected AGN in the Northern Galactic Cap of the 58-month Swift BurstAlert Telescope (Swift/BAT) catalog, consisting of 100 AGN with b>50deg. Thisregion has excellent potential for further study due to the availability of awide range of archival multi-wavelength data, and we propose it as alow-redshift analog to the `deep fields' work on AGN at higher redshifts. Wepresent distributions of luminosity, absorption, and other key quantities, fromfitting new and archival X-ray data gathered from XMM-Newton, Swift/XRT, ASCAand Swift/BAT. We probe to deeper redshifts than the 9-month BAT catalog(<z>=0.043), and uncover a broader absorbing column density distribution. Thefraction 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 thatthe process responsible for producing the soft excess is not ubiquitous. Thefraction 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 alarge fraction of our sample using joint XMM-Newton+BAT fits (reflectionamplitude <R> = 2.7 +/- 0.75), indicating light bending or extremely complexabsorption. The average 1--10keV spectrum for the sample reproduces the1--10keV X-ray background slope as found for the 9-month BAT AGN sample. Thecompleteness limit for the sample is ~4 times fainter than that for the 9-monthcatalog (abridged).

X-ray properties of the Northern Galactic Cap AGNs in the 58-month Swift-BAT catalog