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## up to phi(3,0)

• $\zeta_{1}$
• $\zeta_{2}$
• $\zeta_{3}$
• $\zeta_{\omega}$
• $\zeta_{\omega+1}$
• $\zeta_{\omega2}$
• $\zeta_{\omega^2}$
• $\zeta_{\omega^3}$
• $\zeta_{\omega^{\omega}}$
• $\zeta_{\omega^{\omega^{\omega}}}$
• $\zeta_{\epsilon_0}$
• $\zeta_{\epsilon_1}$
• $\zeta_{\epsilon_2}$
• $\zeta_{\epsilon_{\omega}}$
• $\zeta_{\epsilon_{\omega^{\omega}}}$
• $\zeta_{\epsilon_{\epsilon_0}}$
• $\zeta_{\epsilon_{\epsilon_{\epsilon_0}}}$
• $\zeta_{\zeta_{0}}$
• $\zeta_{\zeta_{1}}$
• $\zeta_{\zeta_{\omega}}$
• $\zeta_{\zeta_{\omega^\omega}}$
• $\zeta_{\zeta_{\epsilon_0}}$
• $\zeta_{\zeta_{\epsilon_{\epsilon_0}}}$
• $\zeta_{\zeta_{\zeta_{0}}}$
• $\eta_{0}=\varphi(3,0)$

## up to phi(w,0)

• $\varphi(3,1)$
• $\varphi(3,2)$
• $\varphi(3,\omega)$
• $\varphi(3,\omega^{\omega})$
• $\varphi(3,\epsilon_0)$
• $\varphi(3,\epsilon_{\omega})$
• $\varphi(3,\epsilon_{\omega^{\omega}})$
• $\varphi(3,\epsilon_{\epsilon_0})$
• $\varphi(3,\zeta_0)$
• $\varphi(3,\varphi(3,0))$
• $\varphi(3,\varphi(3,1))$
• $\varphi(3,\varphi(3,\omega))$
• $\varphi(3,\varphi(3,\epsilon_0))$
• $\varphi(3,\varphi(3,\varphi(3,0)))$
• $\varphi(4,0)$
• $\varphi(4,1)$
• $\varphi(4,\omega)$
• $\varphi(4,\epsilon_0)$
• $\varphi(4,\zeta_0)$
• $\varphi(4,\varphi(3,0))$
• $\varphi(4,\varphi(4,0))$
• $\varphi(4,\varphi(4,\varphi(4,0)))$
• $\varphi(5,0)$
• $\varphi(5,\varphi(5,0))$
• $\varphi(6,0)$
• $\varphi(7,0)$
• $\varphi(\omega,0)$

## up to phi(1,0,0)

• $\varphi(\omega,\varphi(\omega,0))$
• $\varphi(\omega+1,0)$
• $\varphi(\omega+2,0)$
• $\varphi(\omega2,0)$
• $\varphi(\omega^2,0)$
• $\varphi(\omega^{\omega},0)$
• $\varphi(\epsilon_0,0)$
• $\varphi(\zeta_0,0)$
• $\varphi(\varphi(3,0),0)$
• $\varphi(\varphi(4,0),0)$
• $\varphi(\varphi(\omega,0),0)$
• $\varphi(\varphi(\omega^{\omega},0),0)$
• $\varphi(\varphi(\epsilon_0,0),0)$
• $\varphi(\varphi(\varphi(3,0),0),0)$
• $\varphi(\varphi(\varphi(4,0),0),0)$
• $\varphi(\varphi(\varphi(\omega,0),0),0)$
• $\Gamma_0=\varphi(1,0,0)$