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## $$\psi(\Omega_\omega)$$ to TFB

(0,0,0)(1,1,1) has level $$\psi(\Omega_\omega)$$

(0,0,0)(1,1,1)(1,1,0) has level $$\psi(\Omega_\omega+1)$$

(0,0,0)(1,1,1)(1,1,0)(2,1,0) has level $$\psi(\Omega_\omega+\Omega)$$

(0,0,0)(1,1,1)(1,1,0)(2,2,0) has level $$\psi(\Omega_\omega+\psi_1(0))$$

(0,0,0)(1,1,1)(1,1,0)(2,2,1) has level $$\psi(\Omega_\omega+\psi_1(\Omega_\omega))$$

(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0) has level $$\psi(\Omega_\omega+\psi_1(\Omega_\omega+1))$$

(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0)(3,2,0) has level $$\psi(\Omega_\omega+\Omega_2)$$

(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0)(3,3,1)(3,3,0)(4,3,0) has level $$\psi(\Omega_\omega+\Omega_3)$$

(0,0,0)(1,1,1)(1,1,1) has level $$\psi(\Omega_\omega*2)$$

(0,0,0)(1,1,1)(2,0,0) has level $$\psi(\Omega_\omega*\omega)$$

(0,0,0)(1,1,1)(2,1,0) has level $$\psi(\Omega_\omega*\Omega)$$

(0,0,0)(1,1,1)(2,1,0)(3,2,1) has level $$\psi(\Omega_\omega*\psi_1(\Omega_\omega))$$

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,1) has level $$\psi(\Omega_\omega*\psi_1(\Omega_\omega*2))$$

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0) has level $$\psi(\Omega_\omega*\Omega_2)$$

(0,0,0)(1,1,1)(2,1,1) has level $$\psi(\Omega_\omega^2)$$

(0,0,0)(1,1,1)(2,1,1)(2,1,1) has level $$\psi(\Omega_\omega^3)$$

(0,0,0)(1,1,1)(2,1,1)(3,0,0) has level $$\psi(\Omega_\omega^\omega)$$

(0,0,0)(1,1,1)(2,1,1)(3,1,1) has level $$\psi(\Omega_\omega^{\Omega_\omega})$$

(0,0,0)(1,1,1)(2,1,1)(3,1,1)(4,1,1) has level $$\psi(\Omega_\omega^{\Omega_\omega^2})$$

(0,0,0)(1,1,1)(2,1,1)(3,1,1)(4,1,1)(5,1,1) has level $$\psi(\Omega_\omega^{\Omega_\omega^{\Omega_\omega}})$$

## TFB to  $$\psi(\psi_I(0))$$

(0,0,0)(1,1,1)(2,2,0) has level TFB

(0,0,0)(1,1,1)(2,2,0)(2,2,0) has level $$\psi(\psi_\omega(1))$$

(0,0,0)(1,1,1)(2,2,0)(3,1,0) has level $$\psi(\psi_\omega(\Omega))$$

(0,0,0)(1,1,1)(2,2,0)(3,1,1) has level $$\psi(\psi_\omega(\Omega_\omega))$$

(0,0,0)(1,1,1)(2,2,0)(3,2,0) has level $$\psi(\Omega_{\omega+1})$$

(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,2,0) has level $$\psi(\Omega_{\omega+1}^{\Omega_{\omega+1}})$$

(0,0,0)(1,1,1)(2,2,0)(3,3,0) has level $$\psi(\psi_{\omega+1}(0))$$

(0,0,0)(1,1,1)(2,2,0)(3,3,1) has level $$\psi(\Omega_{\omega*2})$$

(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,4,0)(5,5,1) has level $$\psi(\Omega_{\omega*3})$$

(0,0,0)(1,1,1)(2,2,1) has level $$\psi(\Omega_{\omega^2})$$

(0,0,0)(1,1,1)(2,2,1)(1,1,1) has level $$\psi(\Omega_{\omega^2}+\Omega_\omega)$$

(0,0,0)(1,1,1)(2,2,1)(2,2,0) has level $$\psi(\Omega_{\omega^2}+\psi_\omega(\Omega_{\omega^2}+1))$$

(0,0,0)(1,1,1)(2,2,1)(2,2,0)(3,2,0) has level $$\psi(\Omega_{\omega^2}+\Omega_{\omega+1})$$

(0,0,0)(1,1,1)(2,2,1)(2,2,0)(3,3,0) has level $$\psi(\Omega_{\omega^2}+\psi_{\omega+1}(0))$$

(0,0,0)(1,1,1)(2,2,1)(2,2,0)(3,3,0)(4,3,0) has level $$\psi(\Omega_{\omega^2}+\psi_{\omega+1}(0))$$

If this pattern countiunes, (0,0,0)(1,1,1)(2,2,2) might be equal to $$\psi(\Omega_{\omega^\omega})$$.