User blog:Bubby3/Matrix system analysis (new blog post)

For analysis before

\(\psi(\Omega_{\omega 2} \Omega + \Omega_{\omega + 1})\) , see this blog post.

Here is my analysis

\(\psi(\Omega_{\omega 2} \Omega + \Omega_{\omega + 1})\) to \(\psi(\psi_I(0))\)

 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,0)(2,2,1)(3,2,0)(4,3,1)(5,1,0)(4,3,0)(5,3,0) has level \(\psi(\Omega_{\omega 2} \Omega + \Omega_{\omega + 1})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,0)(2,2,1)(3,2,0)(4,3,1)(5,1,0)(4,3,0)(5,4,1)(6,1,0)(5,4,0)(6,5,0) has level \(\psi(\Omega_{\omega 2} \Omega + \Omega_{\omega + 2})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,0)(2,2,1)(3,2,0)(4,3,1)(5,1,0)(4,3,1) has level \(\psi(\Omega_{\omega 2} \Omega + \Omega_{\omega 2})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,0)(2,2,1)(3,2,0)(4,3,1)(5,1,0)(4,3,1)(5,1,0) has level \(\psi(\Omega_{\omega 2} \Omega + \Omega_{\omega 2} \Omega)\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,0)(2,2,1)(3,2,0)(4,3,1)(5,2,0) has level \(\psi(\Omega_{\omega 2} \Omega_2)\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,0)(2,2,1)(3,2,0)(4,3,1)(5,2,0)(2,2,0)(3,3,1)(4,3,0)(5,4,1)(6,3,0) has level \(\psi(\Omega_{\omega 2} \Omega_3)\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,1) has level \(\psi(\Omega_{\omega 2} \Omega_\omega)\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(3,2,1) has level \(\psi(\Omega_{\omega 2} \Omega_\omega + \Omega_{\omega 2})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0) has level \(\psi(\Omega_{\omega 2} \Omega_{\omega + 1})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,0)(4,3,0) has level \(\psi(\Omega_{\omega 2} \Omega_{\omega + 1})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,0)(4,3,1)(5,3,0) has level \(\psi(\Omega_{\omega 2} \Omega_{\omega + 2})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,1) has level \(\psi(\Omega_{\omega 2} ^ 2)\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(4,2,0)(3,2,1) has level \(\psi(\Omega_{\omega 2} ^ 3)\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(4,2,0)(3,2,1) has level \(\psi(\Omega_{\omega 2} ^ {\Omega_{\omega 2}})\)
 * (0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(5,3,1) has level \(\psi(\Omega_{\omega 3})\)
 * (0,0,0)(1,1,1)(2,1,1) has level \(\psi(\Omega_{\omega ^ 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(1,1,1) has level \(\psi(\Omega_{\omega ^ 2} + \Omega_\omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(3,2,0)(4,3,0) has level \(\psi(\Omega_{\omega ^ 2} + \Omega_{\omega + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(3,2,1) has level \(\psi(\Omega_{\omega ^ 2} + \Omega_{\omega 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(3,2,1)(4,2,0)(5,3,1)(6,3,1)(5,3,1) has level \(\psi(\Omega_{\omega ^ 2} + \Omega_{\omega 3})\)
 * (0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,1) has level \(\psi(\Omega_{\omega ^ 2} 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0) has level \(\psi(\Omega_{\omega ^ 2} \Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1) has level \(\psi(\Omega_{\omega ^ 2} \Omega_\omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,1,0) has level \(\psi(\Omega_{\omega ^ 2} \Omega_\omega + \psi_\omega(\Omega_{\omega ^ 2}))\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,1,0)(1,1,1) has level \(\psi(\Omega_{\omega ^ 2} \Omega_\omega + \psi_\omega(\Omega_{\omega ^ 2} \Omega_\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,1,0)(3,2,0)(4,2,0) has level \(\psi(\Omega_{\omega ^ 2} \Omega_\omega + \Omega_{\omega + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,1,0)(3,2,1)(4,2,1) has level \(\psi(\Omega_{\omega ^ 2} \Omega_\omega + \Omega_{\omega ^ 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,2,0) has level \(\psi(\Omega_{\omega ^ 2} \Omega_{\omega + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,2,0)(3,2,1) has level \(\psi(\Omega_{\omega ^ 2} \Omega_{\omega 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,0)(3,2,1)(4,2,1)(4,2,0)(3,2,1)(4,2,0)(5,3,1)(6,3,1)(6,3,0)(5,3,1) has level \(\psi(\Omega_{\omega ^ 2} \Omega_{\omega 3})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,1) has level \(\psi(\Omega_{\omega ^ 2} ^ 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(2,1,0)(1,1,1)(2,1,1) has level \(\psi(\Omega_{\omega ^ 2} ^ 3)\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,1,0)(1,1,1)(2,1,1) has level \(\psi(\Omega_{\omega ^ 2} ^ {\Omega_{\omega ^ 2}})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,0) has level \(\psi(\psi_{\omega ^ 2}(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,0)(4,2,0) has level \(\psi(\Omega_{\omega^2 + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,1) has level \(\psi(\Omega_{\omega^2 + \omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,1)(4,2,1) has level \(\psi(\Omega_{\omega^2 2})\)
 * (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)(3,1,0) has level \(\psi(\Omega_{\Omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,0)(2,2,1)(3,2,1)(4,2,0) has level \(\psi(\Omega_{\Omega_2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1) has level \(\psi(\Omega_{\Omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1)(2,1,1) has level \(\psi(\Omega_{\Omega_{\omega ^ 2}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1)(2,1,1)(3,1,0) has level \(\psi(\Omega_{\Omega_{\Omega}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1) has level \(\psi(\Omega_{\Omega_{\Omega_\omega}})\)

\(\psi(\psi_I(0))\) to \(\psi(I_\omega)\)

 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0) has level \(\psi(\psi_I(0) \Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(1,1,1) has level \(\psi(\psi_I(0) \Omega_\omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(0) ^ 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(0) ^ 3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,0)(4,2,0) has level \(\psi(\Omega_{\psi_I(0) + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1) has level \(\psi(\Omega_{\psi_I(0) + \omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1) has level \(\psi(\Omega_{\psi_I(0) + \omega^2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(1,1,1) has level \(\psi(\Omega_{\psi_I(0) + \Omega_\omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_I(0) 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_I(0) 2} + \psi_I(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(3,2,0)(4,2,0) has level \(\psi(\Omega_{\psi_I(0) 2} + \Omega_{\psi_I(0) + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(3,2,1)(4,2,1)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_I(0) 2} 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,0,0) has level \(\psi(\Omega_{\psi_I(0) 2} \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,1,0) has level \(\psi(\Omega_{\psi_I(0) 2} \Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,0) has level \(\psi(\Omega_{\psi_I(0) 2} \Omega_{\psi_I(0) + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,0)(3,2,1)(4,2,1)(5,1,0)(4,0,0) has level \(\psi(\Omega_{\psi_I(0) 2} ^ 2 )\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,0)(5,3,0) has level \(\psi(\psi_{\psi_I(0) 2}(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,0)(5,3,1)(6,3,1)(7,1,0)(6,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_I(0) 3})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,1) has level \(\psi(\Omega_{\psi_I(0) \omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,1)(4,2,1) has level \(\psi(\Omega_{\psi_I(0) \omega^2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,1)(5,0,0) has level \(\psi(\Omega_{\psi_I(0) \omega^\omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(4,2,1)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_I(0)^2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(5,0,0) has level \(\psi(\Omega_{\psi_I(0)^\omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_I(0)^{\psi_I(0)}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(6,2,0) has level \(\psi(\Omega_{\psi_{\psi_I(0)}(0)})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(6,2,1) has level \(\psi(\Omega_{\psi_{\psi_I(0)}(\Omega_{\psi_I(0)+\omega})})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(6,2,1)(7,2,1)(8,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\psi_{\psi_I(0)}(\Omega_{\psi_I(0) 2})})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(6,2,1)(7,2,1)(8,1,0)(8,0,0) has level \(\psi(\Omega_{\psi_{\psi_I(0)}(\Omega_{\psi_I(0) \omega})})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)(6,2,1)(7,2,1)(8,1,0)(8,2,0) has level \(\psi(\Omega_{\psi_{\psi_I(0)}(\Omega_{\psi_{\psi_I(0)}(0)})})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0) has level \(\psi(\Omega_{\Omega{\psi_I(0) + 1}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,0)(4,3,1)(5,3,1)(6,3,0) has level \(\psi(\Omega_{\Omega{\psi_I(0) + 2}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1) has level \(\psi(\Omega_{\Omega{\psi_I(0) + \omega}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)(4,2,1) has level \(\psi(\Omega_{\Omega{\psi_I(0) + \omega^2}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,1,0) has level \(\psi(\Omega_{\Omega{\psi_I(0) + \Omega}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\Omega_{\Omega_{\psi_I(0) 2}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0) has level \(\psi(\Omega_{\Omega_{\Omega_{\psi_I(0)+1}}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0) has level \(\psi(\Omega_{\Omega_{\Omega_{\Omega_{\psi_I(0)+1}}}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(\psi_I(1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,0)(3,2,1)(4,2,1)(5,1,0)(4,0,0) has level \(\psi(\psi_I(1)^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,0)(5,3,0)(6,3,0) has level \(\psi(\Omega_{\psi_I(1) + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,0)(5,3,1)(6,3,1)(7,3,0) has level \(\psi(\Omega_{\Omega_{\psi_I(1) + 1}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(6,0,0) has level \(\psi(\psi_I(2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(6,3,0)(7,4,1)(8,4,1)(9,4,0)(8,0,0) has level \(\psi(\psi_I(2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(6,3,0)(7,4,1)(8,4,1)(9,4,0)(8,0,0) has level \(\psi(\psi_I(2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(\omega)+\psi_I(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(3,2,0)(4,2,0) has level \(\psi(\psi_I(\omega)+\Omega_{\psi_I(0)+1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(3,2,1) has level \(\psi(\psi_I(\omega)+\Omega_{\psi_I(0)+\omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(3,2,1) has level \(\psi(\psi_I(\omega)+\Omega_{\psi_I(0)+\omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(3,2,1)(4,2,1)(5,2,0) has level \(\psi(\psi_I(\omega)+\Omega_{\Omega_{\psi_I(0)+1}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(\psi_I(\omega)+\psi_I(1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(\psi_I(\omega)+\psi_I(1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega) 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0) has level \(\psi(\psi_I(\omega) \Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(\omega) \psi_I(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(\omega) \psi_I(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,1,0)(3,2,0)(4,2,0) has level \(\psi(\psi_I(\omega) \psi_I(0) + \Omega_{\psi_I(0)+1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(\psi_I(\omega) \psi_I(0) + psi_I(\omega)})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,0) has level \(\psi(\psi_I(\omega) \Omega_{\psi_I(0)+1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,0)(3,2,1)(4,2,1)(5,2,0) has level \(\psi(\psi_I(\omega) \Omega_{\Omega_{\psi_I(0)+1}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,0)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(\psi_I(\omega) \psi_I(1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega)^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega)^3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega)^{\psi_I(\omega)})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,0)(4,2,0) has level \(\psi(\Omega_{\psi_I{\omega} + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0) has level \(\psi(\Omega_{\Omega_{\psi_I(\omega) + 1}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(\psi_I(\omega + 1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(\psi_I(\omega 2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(6,3,1) has level \(\psi(\psi_I(\omega 3))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1) has level \(\psi(\psi_I(\omega ^ 2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega ^ 2) + \psi_I(\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,1)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(\psi_I(\omega ^ 2) + \psi_I(\omega 2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1) has level \(\psi(\psi_I(\omega ^ 2) 2\)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(\psi_I(\omega ^ 2) \psi_I(\omega)\)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,1)(4,2,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(\psi_I(\omega ^ 2) \psi_I(\omega 2)\)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1) has level \(\psi(\psi_I(\omega ^ 2) ^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(\psi_I(\omega ^ 2 + \omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(4,2,1)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(6,3,1)(6,3,1) has level \(\psi(\psi_I(\omega ^ 2 3))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,1) has level \(\psi(\psi_I(\omega ^ 3))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,1)(2,1,1) has level \(\psi(\psi_I(\omega ^ 4))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,0,0) has level \(\psi(\psi_I(\omega ^ \omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0) has level \(\psi(\psi_I(\Omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(1,1,1) has level \(\psi(\psi_I(\Omega_\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(\psi_I(0)))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(\psi_I(\psi_I(\psi_I(0))))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,0,0) has level \(\psi(I + \psi_I(\omega^\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I + \psi_I(I))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0)(2,0,0) has level \(\psi(I + \psi_I(I) \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0) has level \(\psi(I + \psi_I(I) \Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I + \psi_I(I)^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,0)(4,2,0) has level \(\psi(I + \Omega_{\psi_I(I)+1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(I + \psi_I(I + 1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(I + \psi_I(I + \omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,1,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I + \psi_I(I + \psi_I(I)))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0) has level \(\psi(I + \psi_I(I + \Omega_{\psi_I(I)+1}))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(I + \psi_I(I + \psi_I(I + 1)))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(I + \psi_I(I + \psi_I(I + \omega)))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(I + \psi_I(I + \psi_I(I + \psi_I(I + \omega))))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(4,0,0) has level \(\psi(I 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(6,3,1)(7,3,0)(6,3,1)(7,3,0)(6,0,0) has level \(\psi(I 3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(I \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,2,1)(5,2,0)(4,2,1) has level \(\psi(I \omega 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(2,1,1) has level \(\psi(I \omega^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(2,1,1)(2,1,1) has level \(\psi(I \omega^3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,0,0) has level \(\psi(I \omega^\omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0) has level \(\psi(I \Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(I^2 \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(2,1,1) has level \(\psi(I^2 \omega^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I^3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,0,0) has level \(\psi(I^\omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0) has level \(\psi(I^\Omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,0,0) has level \(\psi(I^I)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(5,0,0) has level \(\psi(I^I + I^\omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(5,2,0)(3,2,1)(4,2,1)(5,2,0)(5,0,0) has level \(\psi(I^I + I^{\psi_I(I^I + I^\omega)})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(5,2,0)(4,0,0) has level \(\psi(I^I 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(5,2,0)(4,2,0)(5,3,1)(6,3,1)(7,3,0)(7,3,0)(6,0,0) has level \(\psi(I^I 3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,1) has level \(\psi(I^I \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,1)(2,1,1) has level \(\psi(I^I \omega^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I^{I + 1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,1)(3,1,0)(2,1,1) has level \(\psi(I^{I + 1} \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0) has level \(\psi(I^{I + 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(2,1,1)(3,1,0)(3,1,0)(2,0,0) has level \(\psi(I^{I 2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(3,1,0)(2,0,0) has level \(\psi(I^{I^2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)(3,1,0)(3,1,0)(2,0,0) has level \(\psi(I^{I^3})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,1,0)(2,0,0) has level \(\psi(I^{I^I})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,1,0)(5,1,0)(2,0,0) has level \(\psi(I^{I^{I^I}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,0) has level \(\psi(\psi_{\Omega_{I+1}}(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,0)(5,2,0) has level \(\psi(\Omega_{I+1})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,0)(5,3,0)(6,3,0) has level \(\psi(\Omega_{I+2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1) has level \(\psi(\Omega_{I+\omega})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1) has level \(\psi(\Omega_{I+\omega^2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0) has level \(\psi(\Omega_{\Omega_{I+1}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,0,0) has level \(\psi(\psi_{I_2}(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,0)(6,3,1)(7,3,1)(8,3,0)(7,0,0) has level \(\psi(\psi_{I_2}(1))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,0)(6,3,1)(7,3,1)(8,3,0)(7,3,0)(8,4,1)(9,4,1)(10,4,0)(9,0,0) has level \(\psi(\psi_{I_2}(2))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1) has level \(\psi(\psi_{I_2}(\omega))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1)(6,1,0)(2,0,0) has level \(\psi(\psi_{I_2}(I))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,0,0) has level \(\psi(I_2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,2,0)(6,3,1)(7,3,1)(8,3,0)(7,3,1)(8,3,0)(7,0,0) has level \(\psi(I_2 2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,2,1) has level \(\psi(I_2 \omega)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,0,0) has level \(\psi(I_2^2)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,2,1)(6,2,0)(5,0,0) has level \(\psi(I_2^3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(6,2,0)(5,0,0) has level \(\psi(I_2^{I_2})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(7,2,0)(5,0,0) has level \(\psi(I_2^{I_2^{I_2}})\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(7,3,1)(8,3,1)(9,3,0)(8,0,0) has level \(\psi(\psi_{I_3}(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(7,3,1)(8,3,1)(9,3,0)(8,3,1)(9,3,0)(8,0,0) has level \(\psi(I_3)\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(7,3,1)(8,3,1)(9,3,0)(10,4,1)(11,4,1)(12,4,0)(11,0,0) has level \(\psi(\psi_{I_4}(0))\)
 * (0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)(7,3,1)(8,3,1)(9,3,0)(10,4,1)(11,4,1)(12,4,0)(13,5,1)(14,5,1)(15,5,0)(14,0,0) has level \(\psi(\psi_{I_5}(0))\)