LPrSSψ分析Part2

上篇：LPrSSψ分析

分析1：EBO~JO

分析至此，LPrSSψ继续多项式Ω_2阶段，与BMS对应，而BOCF已经引入了不可达序数I。

分析1：EBO~JO

LPrSSψ	BOCF	BMS
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\omega )$	$\psi (I)$	(0)(1,1,1)(2,1,1)(3,1)(2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\omega +{\mathrm{\Omega }}_2)$	$\psi (I+{\mathrm{\Omega }}_{\omega })$	(0)(1,1,1)(2,1,1)(3,1)(2)(1,1,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times (\omega +1))$	$\psi (I+{\mathrm{\Omega }}_{\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(2)(1,1,1)(2,1,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times \omega 2)$	$\psi (I+{\psi }_I(I))$	(0)(1,1,1)(2,1,1)(3,1)(2)(1,1,1)(2,1,1)(3,1)(2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\omega }^2)$	$\psi (I+{\psi }_I(I)\times \omega )$	(0)(1,1,1)(2,1,1)(3,1)(2)(2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\mathrm{\Omega })$	$\psi (I+{\psi }_I(I)\times \mathrm{\Omega })$	(0)(1,1,1)(2,1,1)(3,1)(2,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\mathrm{\Omega }+{\mathrm{\Omega }}_2)$	$\psi (I+{\psi }_I(I)\times {\mathrm{\Omega }}_{\omega })$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(1,1,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times (\mathrm{\Omega }+1))$	$\psi (I+{\psi }_I(I{)}^2)$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(1,1,1)(2,1,1)(3,1)(2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_2))$	$\psi (I+{\psi }_I(I+1))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\psi }_2({\mathrm{\Omega }}_3)))$	$\psi (I+{\psi }_I(I+2))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2)(4,3)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3))$	$\psi (I+{\psi }_I(I+\omega ))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_3)))$	$\psi (I+{\psi }_I(I+\omega +1))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2)(5,3)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_4)))$	$\psi (I+{\psi }_I(I+\omega 2))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2)(5,3,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^2))$	$\psi (I+{\psi }_I(I+{\omega }^2))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{\omega }))$	$\psi (I+{\psi }_I(I+{\omega }^{\omega }))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{\mathrm{\Omega }}))$	$\psi (I+{\psi }_I(I+\mathrm{\Omega }))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{\mathrm{\Omega }+1}))$	$\psi (I+{\psi }_I(I+{\psi }_I(I)\times \omega ))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,1)(4,2,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}))$	$\psi (I+{\psi }_I(I+{\psi }_I(I+1)))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}\omega ))$	$\psi (I2)$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,2)(4)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}\times {\psi }_2({\mathrm{\Omega }}_4^{{\mathrm{\Omega }}_3})))$	$\psi (I2+{\psi }_I(I2+{\psi }_I(I2+1)))$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,2)(4,2)(5,3,1)(6,3,1)(7,3)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}\times {\psi }_2({\mathrm{\Omega }}_4^{{\mathrm{\Omega }}_3}\omega )))$	$\psi (I3)$	(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,2)(4,2)(5,3,1)(6,3,1)(7,3)(6)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }+1})$	$\psi (I\omega )$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }+1}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}\omega ))$	$\psi (I\times (\omega +1))$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(2,1)(3,2,1)(4,2,1)(5,2)(4)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }+1}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2+1}))$	$\psi (I\times \omega 2)$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(2,1)(3,2,1)(4,2,1)(5,2)(4,2,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }+2})$	$\psi (I\times {\omega }^2)$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(2,1,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }+\omega })$	$\psi (I\times {\omega }^{\omega })$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }2})$	$\psi (I\mathrm{\Omega })$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }2}+{\mathrm{\Omega }}_2^{\mathrm{\Omega }}\omega )$	$\psi (I\times {\psi }_I(I))$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)(1,1,1)(2,1,1)(3,1)(2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }2}+{\mathrm{\Omega }}_2^{\mathrm{\Omega }+1})$	$\psi (I\times {\psi }_I(I\omega ))$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)(1,1,1)(2,1,1)(3,1)(2,1,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }2}2)$	$\psi (I\times {\psi }_I(I\mathrm{\Omega }))$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }2}\omega )$	$\psi (I^2)$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)(2)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }2+1})$	$\psi (I^2\omega )$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)(2,1,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }3})$	$\psi (I^2\mathrm{\Omega })$	(0)(1,1,1)(2,1,1)(3,1)(2,1,1)(3,1)(2,1,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{\mathrm{\Omega }\omega })$	$\psi (I^{\omega })$	(0)(1,1,1)(2,1,1)(3,1)(3)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^2})$	$\psi (I^{\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^2}\omega )$	$\psi (I^I)$	(0)(1,1,1)(2,1,1)(3,1)(3,1)(2)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^{2}2})$	$\psi (I^{I+\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(3,1)(2,1,1)(3,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^3})$	$\psi (I^{I\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(3,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^{\omega }})$	$\psi (I^{I^{\omega }})$	(0)(1,1,1)(2,1,1)(3,1)(4)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^{\mathrm{\Omega }}})$	$\psi (I^{I^{\mathrm{\Omega }}})$	(0)(1,1,1)(2,1,1)(3,1)(4,1)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^{\mathrm{\Omega }}}\omega )$	$\psi (I^{I^I})$	(0)(1,1,1)(2,1,1)(3,1)(4,1)(2)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\mathrm{\Omega }}}})$	$\psi (I^{I^{I^{\mathrm{\Omega }}}})$	(0)(1,1,1)(2,1,1)(3,1)(4,1)(5,1)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\mathrm{\Omega }}}}\omega )$	$\psi (I\uparrow \uparrow 4)$	(0)(1,1,1)(2,1,1)(3,1)(4,1)(5,1)(2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)})$	$\psi ({\mathrm{\Omega }}_{I+1})$	(0)(1,1,1)(2,1,1)(3,1)(4,2)

分析2：JO~SIO

LPrSSψ在Ω_2的指数上引入了ψ_1，与此同时，BOCF引入了Ω_(I+X)甚至I_n。

分析2：JO~SIO

LPrSSψ	BOCF	BMS
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)})$	$\psi ({\mathrm{\Omega }}_{I+1})$	(0)(1,1,1)(2,1,1)(3,1)(4,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}2)$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1}))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(1,1,1)(2,1,1)(3,1)(4,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\omega )$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1})\times \omega )$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\mathrm{\Omega })$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1})\times \mathrm{\Omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\times {\psi }_1({\mathrm{\Omega }}_2))$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1}+1))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)(3,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\times {\psi }_1({\mathrm{\Omega }}_3))$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1}+\omega ))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)(3,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\times {\psi }_1({\mathrm{\Omega }}_3^{\mathrm{\Omega }}))$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1}+\mathrm{\Omega }))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)(3,2,1)(4,2,1)(5,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}))$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_I({\mathrm{\Omega }}_{I+1}+1+{\psi }_I({\mathrm{\Omega }}_{I+1}+1)))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)(3,2,1)(4,2,1)(5,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\times {\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}\omega ))$	$\psi ({\mathrm{\Omega }}_{I+1}+I)$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)(3,2,1)(4,2,1)(5,2)(4)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)}\times {\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_3)}))$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1)(3,2,1)(4,2,1)(5,2)(6,3)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)+1})$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+1))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)+\mathrm{\Omega }})$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+\mathrm{\Omega }))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1,1)(3,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)\times 2})$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1})))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(2,1,1)(3,1)(4,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2+1)})$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+1)))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(3)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2+\mathrm{\Omega })})$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+\mathrm{\Omega })))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(3,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2))})$	$\psi ({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}+{\psi }_{I+1}({\mathrm{\Omega }}_{I+1}))))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(3,1)(4,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_{2}2)})$	$\psi ({\mathrm{\Omega }}_{I+1}2)$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(4,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2\omega )})$	$\psi ({\mathrm{\Omega }}_{I+1}\omega )$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2\mathrm{\Omega })})$	$\psi ({\mathrm{\Omega }}_{I+1}\mathrm{\Omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2\mathrm{\Omega })}\omega )$	$\psi ({\mathrm{\Omega }}_{I+1}I)$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,1)(2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2))})$	$\psi ({\mathrm{\Omega }}_{I+1}\times {\psi }_{I+1}({\mathrm{\Omega }}_{I+1}))$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,1)(6,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2^2)})$	$\psi ({\mathrm{\Omega }}_{I+1}^2)$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2^{\omega })})$	$\psi ({\mathrm{\Omega }}_{I+1}^{\omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,2)(6)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2^{\mathrm{\Omega }})})$	$\psi ({\mathrm{\Omega }}_{I+1}^{\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,2)(6,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2^{\mathrm{\Omega }})}\omega )$	$\psi ({\mathrm{\Omega }}_{I+1}^I)$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,2)(6,1)(2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2})})$	$\psi ({\mathrm{\Omega }}_{I+1}^{{\mathrm{\Omega }}_{I+1}})$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,2)(6,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\psi }_2({\mathrm{\Omega }}_3))})$	$\psi ({\mathrm{\Omega }}_{I+2})$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,3)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\psi }_2({\psi }_3({\mathrm{\Omega }}_4)))})$	$\psi ({\mathrm{\Omega }}_{I+3})$	(0)(1,1,1)(2,1,1)(3,1)(4,2)(5,3)(6,4)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3)})$	$\psi ({\mathrm{\Omega }}_{I+\omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_{3}2)})$	$\psi ({\mathrm{\Omega }}_{I+\omega }2)$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(4,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3\mathrm{\Omega })})$	$\psi ({\mathrm{\Omega }}_{I+\omega }\mathrm{\Omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3{\mathrm{\Omega }}_2)})$	$\psi ({\mathrm{\Omega }}_{I+\omega }{\mathrm{\Omega }}_{I+1})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3\times ({\mathrm{\Omega }}_2+1))})$	$\psi ({\mathrm{\Omega }}_{I+\omega }^2)$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2)(4,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_3))})$	$\psi ({\mathrm{\Omega }}_{I+\omega +1})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2)(6,3)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_4))})$	$\psi ({\mathrm{\Omega }}_{I+\omega 2})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2)(6,3,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^2)})$	$\psi ({\mathrm{\Omega }}_{I+{\omega }^2})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{\omega })})$	$\psi ({\mathrm{\Omega }}_{I+{\omega }^{\omega }})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{\mathrm{\Omega }})})$	$\psi ({\mathrm{\Omega }}_{I+\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{\mathrm{\Omega }})}\omega )$	$\psi ({\mathrm{\Omega }}_{I2})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,1)(2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{\mathrm{\Omega }+1})})$	$\psi ({\mathrm{\Omega }}_{I\omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,1)(5,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2})})$	$\psi ({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{I+1}})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}\omega )})$	$\psi (I_2)$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(5)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2+1})})$	$\psi (I_2\omega )$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(5,2,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_{2}2})})$	$\psi (I_2{\mathrm{\Omega }}_{I+1})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(5,2,1)(6,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2^2})})$	$\psi (I_2^{{\mathrm{\Omega }}_{I+1}})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(6,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_3)})})$	$\psi ({\mathrm{\Omega }}_{I_2+1})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\psi }_3({\mathrm{\Omega }}_4))})})$	$\psi ({\mathrm{\Omega }}_{I_2+2})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3)(8,4)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4)})})$	$\psi ({\mathrm{\Omega }}_{I_2+\omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4^2)})})$	$\psi ({\mathrm{\Omega }}_{I_2+{\omega }^2})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)(8,4,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4^{\mathrm{\Omega }})})})$	$\psi ({\mathrm{\Omega }}_{I_2+\mathrm{\Omega }})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)(8,4,1)(9,1)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4^{{\mathrm{\Omega }}_2})})})$	$\psi ({\mathrm{\Omega }}_{I_2+{\mathrm{\Omega }}_{I+1}})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)(8,4,1)(9,2)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4^{{\mathrm{\Omega }}_3})})})$	$\psi ({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{I_2+1}})$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)(8,4,1)(9,3)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4^{{\mathrm{\Omega }}_3}\omega )})})$	$\psi (I_3)$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)(8,4,1)(9,3)(8)
$\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4^{{\psi }_3({\mathrm{\Omega }}_5)})})})$	$\psi ({\mathrm{\Omega }}_{I_3+\omega })$	(0)(1,1,1)(2,1,1)(3,1)(4,2,1)(5,2,1)(6,2)(7,3,1)(8,4,1)(9,3)(10,4,1)
$\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2})$	$\psi (I_{\omega })$	(0)(1,1,1)(2,1,1)(3,1,1)