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This category contains numbers that can be defined or estimated using fast-growing hierarchy in the form fα(n) with α made from triple exponentiation of polynomial of ω (note that addition of smaller ordinals is also allowed) and reasonably small values of n, which is roughly equivalent to Jonathan Bowers' trimensional array.

The lower bound of this category is \(f_{\omega^{\omega^{\omega^\omega}}}(10^{10^6})\), and the upper bound is \(f_{\omega^{\omega^{\omega^{\omega^\omega}}}}(10^{10^6})\).

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