<=Incomplete=>
f 0 ( ω ) = ω + 1 {\displaystyle f_{0}(\omega )=\omega +1}
f 0 n ( ω ) = ω + n {\displaystyle f_{0}^{n}(\omega )=\omega +n}
f 1 ( ω ) = f 0 ω ( ω ) = ω + ω = ω ∗ 2 {\displaystyle f_{1}(\omega )=f_{0}^{\omega }(\omega )=\omega +\omega =\omega *2}
f 1 ( ω ∗ k + n ) ( k , n < ω ) = ω ∗ 2 k + n {\displaystyle f_{1}(\omega *k+n)\;\;(k,n<\omega )=\omega *2k+n}
f 1 n ( ω ) = ω ∗ 2 n {\displaystyle f_{1}^{n}(\omega )=\omega *2^{n}}
f 2 ( ω ) = ω 2 {\displaystyle f_2(\omega)=\omega^2}
f 1 ( f 2 ( ω ) ) = f 1 ( ω 2 ) = ω 2 ∗ 2 {\displaystyle f_{1}(f_{2}(\omega ))=f_{1}(\omega ^{2})=\omega ^{2}*2}
f 2 ( ω ∗ 2 ) = ω 3 {\displaystyle f_{2}(\omega *2)=\omega ^{3}}
f 2 ( ω ∗ 3 ) = ω 4 {\displaystyle f_{2}(\omega *3)=\omega ^{4}}
f 2 ( ω ∗ 4 ) = ω 5 {\displaystyle f_{2}(\omega *4)=\omega ^{5}}
f 2 ( ω ∗ 5 ) = ω 6 {\displaystyle f_{2}(\omega *5)=\omega ^{6}}
f 2 ( f 2 ( ω ) ) = f 2 ( ω 2 ) = ω ω {\displaystyle f_{2}(f_{2}(\omega ))=f_{2}(\omega ^{2})=\omega ^{\omega }}
f 2 ( ω 2 + 1 ) = ω ω ∗ 2 {\displaystyle f_{2}(\omega ^{2}+1)=\omega ^{\omega }*2}
f 2 ( ω 2 + ω ) = ω ω + 1 {\displaystyle f_{2}(\omega ^{2}+\omega )=\omega ^{\omega +1}}
f 2 ( ω 2 ∗ 2 ) = ω ω ∗ 2 {\displaystyle f_{2}(\omega ^{2}*2)=\omega ^{\omega *2}}
f 2 ( ω 3 ) = ω ω 2 {\displaystyle f_{2}(\omega ^{3})=\omega ^{\omega ^{2}}}
f 2 ( ω 3 + ω ) = ω ω 2 + 1 {\displaystyle f_{2}(\omega ^{3}+\omega )=\omega ^{\omega ^{2}+1}}
f 2 ( ω 3 + ω 2 ) = ω ω 2 + ω {\displaystyle f_{2}(\omega ^{3}+\omega ^{2})=\omega ^{\omega ^{2}+\omega }}
f 2 ( ω 3 ∗ 2 ) = ω ω 2 ∗ 2 {\displaystyle f_{2}(\omega ^{3}*2)=\omega ^{\omega ^{2}*2}}
f 2 ( f 2 ( f 2 ( ω ) ) ) = f 2 ( ω ω ) = ω ω ω {\displaystyle f_{2}(f_{2}(f_{2}(\omega )))=f_{2}(\omega ^{\omega })=\omega ^{\omega ^{\omega }}}
f 3 ( ω ) = ε 0 {\displaystyle f_3(\omega)=\varepsilon_0}
f 3 ( ω + 1 ) = ε 0 2 {\displaystyle f_{3}(\omega +1)=\varepsilon _{0}^{2}}
f 3 ( ω + 2 ) = ε 0 ε 0 {\displaystyle f_{3}(\omega +2)=\varepsilon _{0}^{\varepsilon _{0}}}
f 3 ( ω + 3 ) = ε 0 ε 0 ε 0 {\displaystyle f_{3}(\omega +3)=\varepsilon _{0}^{\varepsilon _{0}^{\varepsilon _{0}}}}
f 3 ( ω ∗ 2 ) = ε 1 {\displaystyle f_{3}(\omega *2)=\varepsilon _{1}}
f 3 ( ω 2 ) = ε ω {\displaystyle f_{3}(\omega ^{2})=\varepsilon _{\omega }}
f 3 ( f 3 ( ω ) ) = ε ε 0 {\displaystyle f_{3}(f_{3}(\omega ))=\varepsilon _{\varepsilon _{0}}}
f 4 ( ω ) = ζ 0 {\displaystyle f_4(\omega)=\zeta_0}