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In the second paper of this series, I obtained the twisted BRST systems andextended physical-state conditions of all twisted open and closed $\hat{c} =52$ strings. In this paper, I supplement the extended physical-state conditionswith the explicit form of the extended (twisted) Virasoro generators of all$\hat{c} = 52$ strings, which allows us to discuss the physical spectra ofthese systems. Surprisingly, all the $\hat{c}=52$ spectra admit an equivalentdescription in terms of generically-unconventional Virasoro generators at$c=26$. This description strongly supports our prior conjecture that the$\hat{c}=52$ strings are free of negative-norm states, and moreover shows thatthe spectra of some of the simpler cases are equivalent to those of ordinaryuntwisted open and closed $c=26$ strings.

The Orbifolds of Permutation-Type as Physical String Systems at Multiples of $c=26$ III. The Spectra of $\hat{c}=52$ Strings