查看“︁0Yψ vs 拓展HPrSSψ vs 强LPrSS投影 vs 弱LPrSS投影分析”︁的源代码

上篇：[[0Yψ vs HPrSSψ vs 强LPrSS投影 vs 弱LPrSS投影 分析]]

== 分析1：(0)(1,1,1,1)~(0)(1,1,1,1)(2,1) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析1：(0)(1,1,1,1)~(0)(1,1,1,1)(2,1)
!0Yψ
!强LPrSS投影
!拓展HPrSSψ
!弱LPrSS投影
!弱LPrSS向上投影
!BMS
|-
|<math>\psi(\Omega_3)</math>
|<math>\psi(a)</math>
|<math>\psi(\Omega_\omega)</math>
|<math>\psi(\sigma^\omega a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega))</math>
|(0)(1,1,1,1)
|-
|<math>\psi(\Omega_3+\Omega)</math>
|<math>\psi(a+\Omega)</math>
|<math>\psi(\Omega_\omega+\Omega)</math>
|<math>\psi(\sigma^\omega a+\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\Omega)</math>
|(0)(1,1,1,1)(1,1)
|-
|<math>\psi(\Omega_3+\psi_1(\Omega_3))</math>
|<math>\psi(a+\psi_1(\Omega_3))</math>
|<math>\psi(\Omega_\omega+\psi_1(\Omega_3))</math>
|<math>\psi(\sigma^\omega a+\psi_1(\Omega_3))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(\Omega_3))</math>
|(0)(1,1,1,1)(1,1)(2,2,1)
|-
|<math>\psi(\Omega_3+\psi_1(\psi_3(\Omega_5)))</math>
|<math>\psi(a+\psi_1(\Omega_4))</math>
|<math>\psi(\Omega_\omega+\psi_1(\psi_3(\Omega_5)))</math>
|<math>\psi(\sigma^\omega a+\psi_1(\Omega_4))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(\Omega_4))</math>
|(0)(1,1,1,1)(1,1)(2,2,1)(3,3,1)
|-
|<math>\psi(\Omega_3+\psi_1(\psi_3(\Omega_6)))</math>
|<math>\psi(a+\psi_1(\psi_a(a_2)))</math>
|<math>\psi(\Omega_\omega+\psi_1(\Omega_4))</math>
|<math>\psi(\sigma^\omega a+\psi_1(a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(a))</math>
|(0)(1,1,1,1)(1,1)(2,2,1)(3,3,2)
|-
|<math>\psi(\Omega_3+\psi_1(\psi_3(\psi_6(\Omega_{10}))))</math>
|<math>\psi(a+\psi_1(\psi_a(\psi_{\sigma a}(\sigma a_2))))</math>
|<math>\psi(\Omega_\omega+\psi_1(\Omega_5))</math>
|<math>\psi(\sigma^\omega a+\psi_1(\sigma a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(\psi_S(\sigma S\times3)))</math>
|(0)(1,1,1,1)(1,1)(2,2,1)(3,3,2)(4,4,3)
|-
|<math>\psi(\Omega_3+\psi_1(\Omega_4))</math>
|<math>\psi(a+\psi_1(a))</math>
|<math>\psi(\Omega_\omega+\psi_1(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a+\psi_1(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(1,1)(2,2,1,1)
|-
|<math>\psi(\Omega_3+\psi_1(\Omega_4+\Omega_2))</math>
|<math>\psi(a+\psi_1(a+\Omega_2))</math>
|<math>\psi(\Omega_\omega+\psi_1(\Omega_\omega+\Omega_2))</math>
|<math>\psi(\sigma^\omega a+\psi_1(\sigma^\omega a+\Omega_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(\psi_S(\sigma S\times\omega)+\Omega_2))</math>
|(0)(1,1,1,1)(1,1)(2,2,1,1)(2,2)
|-
|<math>\psi(\Omega_3+\psi_1(\Omega_4+\psi_2(\Omega_5)))</math>
|<math>\psi(a+\psi_1(a+\psi_2(a)))</math>
|<math>\psi(\Omega_\omega+\psi_1(\Omega_\omega+\psi_2(\Omega_\omega)))</math>
|<math>\psi(\sigma^\omega a+\psi_1(\sigma^\omega a+\psi_2(\sigma^\omega a)))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_1(\psi_S(\sigma S\times\omega)+\psi_2(\psi_S(\sigma S\times\omega))))</math>
|(0)(1,1,1,1)(1,1)(2,2,1,1)(2,2)(3,3,1,1)
|-
|<math>\psi(\Omega_3+\Omega_2)</math>
|<math>\psi(a+\Omega_2)</math>
|<math>\psi(\Omega_\omega+\Omega_2)</math>
|<math>\psi(\sigma^\omega a+\Omega_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\Omega_2)</math>
|(0)(1,1,1,1)(1,1,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_4))</math>
|<math>\psi(a+\Omega_3)</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_4))</math>
|<math>\psi(\sigma^\omega a+\Omega_3)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\Omega_3)</math>
|(0)(1,1,1,1)(1,1,1)(2,2,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_4\omega))</math>
|<math>\psi(a+\Omega_\omega)</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_4\omega))</math>
|<math>\psi(\sigma^\omega a+\Omega_\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\Omega_\omega)</math>
|(0)(1,1,1,1)(1,1,1)(2,2,1)(3)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_4\Omega_3))</math>
|<math>\psi(a+\psi_a(\Omega_{a+1}a))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_4\Omega_3))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\Omega_{a+1}a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\Omega_{a+1}a))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,1)(3,2)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_4^2))</math>
|<math>\psi(a+\psi_a(\Omega_{a+1}^2))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_4^2))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\Omega_{a+1}^2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\Omega_{a+1}^2))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,1)(3,2,1)
|-
|<math>\psi(\Omega_3+\psi_2(\psi_4(\Omega_5)))</math>
|<math>\psi(a+\psi_a(\varepsilon_{\Omega_{a+1}+1}))</math>
|<math>\psi(\Omega_\omega+\psi_2(\psi_4(\Omega_5)))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\varepsilon_{\Omega_{a+1}+1}))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\varepsilon_{\Omega_{a+1}+1}))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,1)(3,3)
|-
|<math>\psi(\Omega_3+\psi_2(\psi_4(\Omega_6)))</math>
|<math>\psi(a+\psi_a(\Omega_{a+2}))</math>
|<math>\psi(\Omega_\omega+\psi_2(\psi_4(\Omega_6)))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\Omega_{a+2}))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\Omega_{a+2}))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,1)(3,3,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_5))</math>
|<math>\psi(a+\psi_a(a_2))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_5))</math>
|<math>\psi(\sigma^\omega a+\psi_a(a_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(a_2))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2)
|-
|<math>\psi(\Omega_3+\psi_2(\psi_5(\Omega_8)))</math>
|<math>\psi(a+\psi_a(a_3))</math>
|<math>\psi(\Omega_\omega+\psi_2(\psi_5(\Omega_8)))</math>
|<math>\psi(\sigma^\omega a+\psi_a(a_3))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(a_3))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2)(3,3,2)
|-
|<math>\psi(\Omega_3+\psi_2(\psi_5(\Omega_9)))</math>
|<math>\psi(a+\psi_a(\psi_{\sigma a}(\sigma a_2)))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_6))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\sigma a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\psi_S(\sigma S\times3)))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2)(3,3,3)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6))</math>
|<math>\psi(a+\psi_a(\sigma a))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\Omega_4))</math>
|<math>\psi(a+\psi_a(\sigma a+\Omega_{a+1}))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_\omega+\Omega_4))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\sigma^\omega a+\Omega_{a+1}))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\psi_S(\sigma S\times\omega)+\Omega_{a+1}))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\psi_4(\Omega_8)))</math>
|<math>\psi(a+\psi_a(\sigma a+\psi_{a_2}(\sigma a)))</math>
|<math>\psi(\Omega_\omega+\psi_2(\Omega_\omega+\psi_4(\Omega_\omega)))</math>
|<math>\psi(\sigma^\omega a+\psi_a(\sigma^\omega a+\psi_{a_2}(\sigma^\omega a)))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_a(\psi_S(\sigma S\times\omega)+\psi_{a_2}(\psi_S(\sigma S\times\omega))))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,1)(3,3,2,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\Omega_5))</math>
|<math>\psi(a+\psi_a(\sigma a+a_2))</math>
|<math>\psi(\Omega_\omega+\Omega_3)</math>
|<math>\psi(\sigma^\omega a+a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+a)</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\psi_5(\Omega_8)))</math>
|<math>\psi(a+\psi_a(\sigma a+a_3))</math>
|<math>\psi(\Omega_\omega+\psi_3(\Omega_6))</math>
|<math>\psi(\sigma^\omega a+a_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+a_2)</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2)(3,3,2)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\psi_5(\Omega_9)))</math>
|<math>\psi(a+\psi_a(\sigma a+\psi_{\sigma a}(\sigma a_2)))</math>
|<math>\psi(\Omega_\omega+\psi_3(\Omega_7))</math>
|<math>\psi(\sigma^\omega a+\psi_{\sigma a}(\sigma a_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_S(\sigma S\times2+S_2))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2)(3,3,3)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\psi_5(\Omega_{10})))</math>
|<math>\psi(a+\psi_a(\sigma a+\psi_{\sigma a}(\sigma^2a)))</math>
|<math>\psi(\Omega_\omega+\psi_3(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a+\psi_{\sigma a}(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_{\psi_S(\sigma S\times3)}(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2)(3,3,3,1)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\psi_5(\Omega_{10}+\Omega_9)))</math>
|<math>\psi(a+\psi_a(\sigma a+\psi_{\sigma a}(\sigma^2a+\sigma a_2)))</math>
|<math>\psi(\Omega_\omega+\Omega_4)</math>
|<math>\psi(\sigma^\omega a+\sigma a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_S(\sigma S\times3))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2)(3,3,3,1)(3,3,3)
|-
|<math>\psi(\Omega_3+\psi_2(\Omega_6+\psi_5(\Omega_{10}+\psi_9(\Omega_{15}))))</math>
|<math>\psi(a+\psi_a(\sigma a+\psi_{\sigma a}(\sigma^2a+\psi_{\sigma^2a}(\sigma^3a))))</math>
|<math>\psi(\Omega_\omega+\psi_4(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a+\psi_{\sigma^2a}(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)+\psi_{\psi_S(\sigma S\times4)}(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2)(3,3,3,1)(3,3,3)(4,4,4,1)
|-
|<math>\psi(\Omega_32)</math>
|<math>\psi(a2)</math>
|<math>\psi(\Omega_\omega2)</math>
|<math>\psi(\sigma^\omega a2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times2)</math>
|(0)(1,1,1,1)(1,1,1,1)
|-
|<math>\psi(\Omega_32+\Omega_2)</math>
|<math>\psi(a2+\Omega_2)</math>
|<math>\psi(\Omega_\omega2+\Omega_2)</math>
|<math>\psi(\sigma^\omega a2+\Omega_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times2+\Omega_2)</math>
|(0)(1,1,1,1)(1,1,1,1)(1,1,1)
|-
|<math>\psi(\Omega_32+\psi_2(\Omega_6))</math>
|<math>\psi(a2+\psi_a(\sigma a))</math>
|<math>\psi(\Omega_\omega2+\psi_2(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a2+\psi_a(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times2+\psi_a(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(1,1,1,1)(1,1,1)(2,2,2,1)
|-
|<math>\psi(\Omega_32+\psi_2(\Omega_62))</math>
|<math>\psi(a2+\psi_a(\sigma a2))</math>
|<math>\psi(\Omega_\omega2+\psi_2(\Omega_\omega2))</math>
|<math>\psi(\sigma^\omega a2+\psi_a(\sigma^\omega a2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times2+\psi_a(\psi_S(\sigma S\times\omega)\times2))</math>
|(0)(1,1,1,1)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2,1)
|-
|<math>\psi(\Omega_32+\psi_2(\Omega_62+\Omega_5))</math>
|<math>\psi(a2+\psi_a(\sigma a2+a_2))</math>
|<math>\psi(\Omega_\omega2+\Omega_3)</math>
|<math>\psi(\sigma^\omega a2+a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times2+a)</math>
|(0)(1,1,1,1)(1,1,1,1)(1,1,1)(2,2,2,1)(2,2,2,1)(2,2,2)
|-
|<math>\psi(\Omega_33)</math>
|<math>\psi(a3)</math>
|<math>\psi(\Omega_\omega3)</math>
|<math>\psi(\sigma^\omega a3)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times3)</math>
|(0)(1,1,1,1)(1,1,1,1)(1,1,1,1)
|-
|<math>\psi(\Omega_3\omega)</math>
|<math>\psi(a\omega)</math>
|<math>\psi(\Omega_\omega\omega)</math>
|<math>\psi(\sigma^\omega a\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\omega)</math>
|(0)(1,1,1,1)(2)
|-
|<math>\psi(\Omega_3\times(\omega+1))</math>
|<math>\psi(a\times(\omega+1))</math>
|<math>\psi(\Omega_\omega\times(\omega+1))</math>
|<math>\psi(\sigma^\omega a\times(\omega+1))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times(\omega+1))</math>
|(0)(1,1,1,1)(2)(1,1,1,1)
|-
|<math>\psi(\Omega_3\times\omega2)</math>
|<math>\psi(a\times\omega2)</math>
|<math>\psi(\Omega_\omega\times\omega2)</math>
|<math>\psi(\sigma^\omega a\times\omega2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\omega2)</math>
|(0)(1,1,1,1)(2)(1,1,1,1)(2)
|-
|<math>\psi(\Omega_3\times\omega^2)</math>
|<math>\psi(a\times\omega^2)</math>
|<math>\psi(\Omega_\omega\times\omega^2)</math>
|<math>\psi(\sigma^\omega a\times\omega^2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\omega^2)</math>
|(0)(1,1,1,1)(2)(2)
|-
|<math>\psi(\Omega_3\times\omega^\omega)</math>
|<math>\psi(a\times\omega^\omega)</math>
|<math>\psi(\Omega_\omega\times\omega^\omega)</math>
|<math>\psi(\sigma^\omega a\times\omega^\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\omega^\omega)</math>
|(0)(1,1,1,1)(2)(3)
|-
|<math>\psi(\Omega_3\times\varepsilon_0)</math>
|<math>\psi(a\times\varepsilon_0)</math>
|<math>\psi(\Omega_\omega\times\varepsilon_0)</math>
|<math>\psi(\sigma^\omega a\times\varepsilon_0)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\varepsilon_0)</math>
|(0)(1,1,1,1)(2)(3,1)
|-
|<math>\psi(\Omega_3\times\psi(\Omega_2))</math>
|<math>\psi(a\times\psi(\Omega_2))</math>
|<math>\psi(\Omega_\omega\times\psi(\Omega_2))</math>
|<math>\psi(\sigma^\omega a\times\psi(\Omega_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi(\Omega_2))</math>
|(0)(1,1,1,1)(2)(3,1,1)
|-
|<math>\psi(\Omega_3\times\psi(\Omega_3))</math>
|<math>\psi(a\times\psi(a))</math>
|<math>\psi(\Omega_\omega\times\psi(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a\times\psi(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2)(3,1,1,1)
|-
|<math>\psi(\Omega_3\Omega)</math>
|<math>\psi(a\Omega)</math>
|<math>\psi(\Omega_\omega\Omega)</math>
|<math>\psi(\sigma^\omega a\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega)</math>
|(0)(1,1,1,1)(2,1)
|}

== 分析2：(0)(1,1,1,1)(2,1)~(0)(1,1,1,1)(2,1)(1,1,1,1) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析2：(0)(1,1,1,1)(2,1)~(0)(1,1,1,1)(2,1)(1,1,1,1)
!0Yψ
!强LPrSS投影
!拓展HPrSSψ
!弱LPrSS投影
!弱LPrSS向上投影
!BMS
|-
|<math>\psi(\Omega_3\Omega)</math>
|<math>\psi(a\Omega)</math>
|<math>\psi(\Omega_\omega\Omega)</math>
|<math>\psi(\sigma^\omega a\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega)</math>
|(0)(1,1,1,1)(2,1)
|-
|<math>\psi(\Omega_3\Omega+\Omega)</math>
|<math>\psi(a\Omega+\Omega)</math>
|<math>\psi(\Omega_\omega\Omega+\Omega)</math>
|<math>\psi(\sigma^\omega a\Omega+\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\Omega)</math>
|(0)(1,1,1,1)(2,1)(1,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_1(\Omega_4))</math>
|<math>\psi(a\Omega+\psi_1(a))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_1(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_1(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_1(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1)(2,2,1,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_1(\Omega_4\Omega))</math>
|<math>\psi(a\Omega+\psi_1(a\Omega))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_1(\Omega_\omega\Omega))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_1(\sigma^\omega a\Omega))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_1(\psi_S(\sigma S\times\omega)\times\Omega))</math>
|(0)(1,1,1,1)(2,1)(1,1)(2,2,1,1)(3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_1(\Omega_4\Omega_2))</math>
|<math>\psi(a\Omega+\psi_1(a\Omega_2))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_1(\Omega_\omega\Omega_2))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_1(\sigma^\omega a\Omega_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_1(\psi_S(\sigma S\times\omega)\times\Omega_2))</math>
|(0)(1,1,1,1)(2,1)(1,1)(2,2,1,1)(3,2)
|-
|<math>\psi(\Omega_3\Omega+\Omega_2)</math>
|<math>\psi(a\Omega+\Omega_2)</math>
|<math>\psi(\Omega_\omega\Omega+\Omega_2)</math>
|<math>\psi(\sigma^\omega a\Omega+\Omega_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\Omega_2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_4))</math>
|<math>\psi(a\Omega+\Omega_3)</math>
|<math>\psi(\Omega_\omega\Omega+\psi_2(\Omega_4))</math>
|<math>\psi(\sigma^\omega a\Omega+\Omega_3)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\Omega_3)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_5))</math>
|<math>\psi(a\Omega+\psi_a(a_2))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_2(\Omega_5))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_a(a_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_a(a_2))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\psi_5(\Omega_9)))</math>
|<math>\psi(a\Omega+\psi_a(\psi_{\sigma a}(\sigma a_2)))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_2(\Omega_6))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_a(\sigma a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_a(\psi_S(\sigma S\times3)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2)(3,3,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_2(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_a(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_a(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_2(\Omega_\omega\Omega))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_a(\sigma^\omega a\Omega))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_a(\psi_S(\sigma S\times\omega)\times\Omega))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega+\Omega_5))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega+a_2))</math>
|<math>\psi(\Omega_\omega\Omega+\Omega_3)</math>
|<math>\psi(\sigma^\omega a\Omega+a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+a)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(2,2,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega+\psi_5(\Omega_{10}\Omega)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega+\psi_{\sigma a}(\sigma^2 a\Omega)))</math>
|<math>\psi(\Omega_\omega\Omega+\psi_3(\Omega_\omega\Omega))</math>
|<math>\psi(\sigma^\omega a\Omega+\psi_{\sigma a}(\sigma^\omega a\Omega))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_{\psi_S(\sigma S\times3)}(\psi_S(\sigma S\times\omega)\times\Omega))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(2,2,2)(3,3,3,1)(4,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega+\psi_5(\Omega_{10}\Omega+\Omega_9)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega+\psi_{\sigma a}(\sigma^2 a\Omega+\sigma a_2)))</math>
|<math>\psi(\Omega_\omega\Omega+\Omega_4)</math>
|<math>\psi(\sigma^\omega a\Omega+\sigma a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega+\psi_S(\sigma S\times3))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(2,2,2)(3,3,3,1)(4,1)(3,3,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times(\Omega+1)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times(\Omega+1)))</math>
|<math>\psi(\Omega_\omega\times(\Omega+1))</math>
|<math>\psi(\sigma^\omega a\times(\Omega+1))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times(\Omega+1))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times(\Omega+2)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times(\Omega+2)))</math>
|<math>\psi(\Omega_\omega\times(\Omega+2))</math>
|<math>\psi(\sigma^\omega a\times(\Omega+2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times(\Omega+2))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(2,2,2,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\Omega2))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\Omega2))</math>
|<math>\psi(\Omega_\omega\times\Omega2)</math>
|<math>\psi(\sigma^\omega a\times\Omega2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(2,2,2,1)(3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\Omega^2))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\Omega^2))</math>
|<math>\psi(\Omega_\omega\times\Omega^2)</math>
|<math>\psi(\sigma^\omega a\times\Omega^2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega^2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_1(\Omega_2)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_1(\Omega_2)))</math>
|<math>\psi(\Omega_\omega\times\psi_1(\Omega_2))</math>
|<math>\psi(\sigma^\omega a\times\psi_1(\Omega_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_1(\Omega_2))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(4,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_1(\Omega_3)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_1(\Omega_3)))</math>
|<math>\psi(\Omega_\omega\times\psi_1(\Omega_3))</math>
|<math>\psi(\sigma^\omega a\times\psi_1(\Omega_3))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_1(\Omega_3))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(4,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_1(\psi_3(\Omega_5))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_1(\Omega_4)))</math>
|<math>\psi(\Omega_\omega\times\psi_1(\psi_3(\Omega_5)))</math>
|<math>\psi(\sigma^\omega a\times\psi_1(\Omega_4))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_1(\Omega_4))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(4,2,1)(5,3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_1(\psi_3(\Omega_6))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_1(\psi_a(a_2))))</math>
|<math>\psi(\Omega_\omega\times\psi_1(\Omega_4))</math>
|<math>\psi(\sigma^\omega a\times\psi_1(a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_1(a))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(4,2,1)(5,3,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_1(\Omega_4)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_1(a)))</math>
|<math>\psi(\Omega_\omega\times\psi_1(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a\times\psi_1(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_1(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1)(4,2,1,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_2))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega_2))</math>
|<math>\psi(\Omega_\omega\Omega_2)</math>
|<math>\psi(\sigma^\omega a\Omega_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega_2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times(\Omega_2+1)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times(\Omega_2+1)))</math>
|<math>\psi(\Omega_\omega\times(\Omega_2+1))</math>
|<math>\psi(\sigma^\omega a\times(\Omega_2+1))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times(\Omega_2+1))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_3)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_2(\Omega_3)))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_3))</math>
|<math>\psi(\sigma^\omega a\times\psi_2(\Omega_3))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_2(\Omega_3))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_4)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega_3))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_4))</math>
|<math>\psi(\sigma^\omega a\Omega_3)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega_3)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_4\omega)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\Omega_\omega))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_4\omega))</math>
|<math>\psi(\sigma^\omega a\Omega_\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega_\omega)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,1)(5)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_4\Omega_3)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(\Omega_{a+1}a)))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_4\Omega_3))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(\Omega_{a+1}a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(\Omega_{a+1}a))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,1)(5,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_4^2)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(\Omega_{a+1}^2)))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_4^2))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(\Omega_{a+1}^2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(\Omega_{a+1}^2))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,1)(5,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\psi_4(\Omega_5))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(\varepsilon_{\Omega_{a+1}+1})))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\psi_4(\Omega_5)))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(\varepsilon_{\Omega_{a+1}+1}))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(\varepsilon_{\Omega_{a+1}+1}))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,1)(5,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\psi_4(\Omega_6))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(\Omega_{a+2})))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\psi_4(\Omega_6)))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(\Omega_{a+2}))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(\Omega_{a+2}))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,1)(5,3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_5)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(a_2)))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_5))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(a_2))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(a_2))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\psi_5(\Omega_9))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(\psi_{\sigma a}(\sigma a_2))))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_6))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(\sigma a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(\psi_S(\sigma S\times3)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,2)(5,3,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\times\psi_2(\Omega_6)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma a\times\psi_a(\sigma a)))</math>
|<math>\psi(\Omega_\omega\times\psi_2(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a\times\psi_a(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_a(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,1,1)(4,2,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa))</math>
|<math>\psi(\Omega_\omega\Omega_3)</math>
|<math>\psi(\sigma^\omega aa)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times a)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\Omega_5))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+a_2))</math>
|<math>\psi(\Omega_\omega\Omega_3+\Omega_3)</math>
|<math>\psi(\sigma^\omega aa+a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times a+a)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10})))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a)))</math>
|<math>\psi(\Omega_\omega\Omega_3+\psi_3(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega aa+\psi_{\sigma a}(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times a+\psi_{\psi_S(\sigma S\times3)}(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\Omega_3)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2aa)))</math>
|<math>\psi(\Omega_\omega\Omega_3+\psi_3(\Omega_\omega\Omega_3))</math>
|<math>\psi(\sigma^\omega aa+\psi_{\sigma a}(\sigma^\omega aa))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times a+\psi_{\psi_S(\sigma S\times3)}(\psi_S(\sigma S\times\omega)\times a))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\Omega_3+\Omega_9)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2aa+\sigma a)))</math>
|<math>\psi(\Omega_\omega\Omega_3+\Omega_4)</math>
|<math>\psi(\sigma^\omega aa+\sigma a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times a+\psi_S(\sigma S\times3))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2)(3,3,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\times(\Omega_3+1))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a\times(a+1))))</math>
|<math>\psi(\Omega_\omega\times(\Omega_3+1))</math>
|<math>\psi(\sigma^\omega a\times(a+1))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times(a+1))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2)(3,3,3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\times\psi_3(\Omega_4))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a\times\varepsilon_{a+1})))</math>
|<math>\psi(\Omega_\omega\times\psi_3(\Omega_4))</math>
|<math>\psi(\sigma^\omega a\times\varepsilon_{a+1})</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\varepsilon_{a+1})</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2)(5,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\Omega_4)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a\times\Omega_{a+1})))</math>
|<math>\psi(\Omega_\omega\times\psi_3(\Omega_5))</math>
|<math>\psi(\sigma^\omega a\times\Omega_{a+1})</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\Omega_{a+1})</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\Omega_5)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a\times a_2)))</math>
|<math>\psi(\Omega_\omega\times\psi_3(\Omega_6))</math>
|<math>\psi(\sigma^\omega a\times a_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times a_2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2,2)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\times\psi_5(\Omega_{10}))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a\times\psi_{\sigma a}(\sigma^2a))))</math>
|<math>\psi(\Omega_\omega\times\psi_3(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a\times\psi_{\sigma a}(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times\psi_{\psi_S(\sigma S\times3)}(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,2,2)(5,3,3,1)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\Omega_6)))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2a\sigma a)))</math>
|<math>\psi(\Omega_\omega\Omega_4)</math>
|<math>\psi(\sigma^\omega a\sigma a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times \psi_S(\sigma S\times3))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,3)
|-
|<math>\psi(\Omega_3\Omega+\psi_2(\Omega_6\Omega_3+\psi_5(\Omega_{10}\Omega_6+\psi_9(\Omega_{15}\Omega_{10}))))</math>
|<math>\psi(a\Omega+\psi_a(\sigma aa+\psi_{\sigma a}(\sigma^2 a\sigma a+\psi_{\sigma^2a}(\sigma^3a\sigma^2a))))</math>
|<math>\psi(\Omega_\omega\Omega_5)</math>
|<math>\psi(\sigma^\omega a\sigma^2a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)\times \psi_S(\sigma S\times4))</math>
|(0)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2)(3,3,3,1)(4,3)(3,3,3)(4,4,4,1)(5,4)
|-
|<math>\psi(\Omega_3\times(\Omega+1))</math>
|<math>\psi(a\times(\Omega+1))</math>
|<math>\psi(\Omega_\omega^2)</math>
|<math>\psi(\sigma^\omega a^2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)
|}

== 分析3：(0)(1,1,1,1)(2,1)(1,1,1,1)~(0)(1,1,1,1)(2,1)(3,2) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析3：(0)(1,1,1,1)(2,1)(1,1,1,1)~(0)(1,1,1,1)(2,1)(3,2)
!0Yψ
!强LPrSS投影
!拓展HPrSSψ
!弱LPrSS投影
!弱LPrSS向上投影
!BMS
|-
|<math>\psi(\Omega_3\times(\Omega+1))</math>
|<math>\psi(a\times(\Omega+1))</math>
|<math>\psi(\Omega_\omega^2)</math>
|<math>\psi(\sigma^\omega a^2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)
|-
|<math>\psi(\Omega_3\times(\Omega+2))</math>
|<math>\psi(a\times(\Omega+2))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega))</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(1,1,1,1)
|-
|<math>\psi(\Omega_3\times(\Omega+\omega))</math>
|<math>\psi(a\times(\Omega+\omega))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\omega)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\omega)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2)
|-
|<math>\psi(\Omega_3\times\Omega2)</math>
|<math>\psi(a\times\Omega2)</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\Omega)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)
|-
|<math>\psi(\Omega_3\times\Omega2+\Omega_2)</math>
|<math>\psi(a\times\Omega2+\Omega_2)</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega+\Omega_2)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\Omega+\Omega_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\Omega+\Omega_2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)
|-
|<math>\psi(\Omega_3\times\Omega2+\psi_2(\Omega_6))</math>
|<math>\psi(a\times\Omega2+\psi_a(\sigma a))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega+\psi_2(\Omega_\omega))</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\Omega+\psi_a(\sigma^\omega a))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\Omega+\psi_a(\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3\times\Omega2+\psi_2(\Omega_6\times(\Omega_3+\Omega)))</math>
|<math>\psi(a\times\Omega2+\psi_a(\sigma a\times(a+\Omega)))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega+\psi_2(\Omega_\omega^2+\Omega_\omega\Omega))</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\Omega+\psi_a(\sigma^\omega a^2+\sigma^\omega a\Omega))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\Omega+\psi_a(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)))</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2,1)(3,1)
|-
|<math>\psi(\Omega_3\times\Omega2+\psi_2(\Omega_6\times(\Omega_3+\Omega)+\Omega_5))</math>
|<math>\psi(a\times\Omega2+\psi_a(\sigma a\times(a+\Omega)+a_2))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega+\Omega_3)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\Omega+a)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\Omega+a)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2,1)(3,1)(2,2,2)
|-
|<math>\psi(\Omega_3\times\Omega2+\psi_2(\Omega_6\times(\Omega_3+\Omega+1)))</math>
|<math>\psi(a\times\Omega2+\psi_a(\sigma a\times(a+\Omega+1)))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\times(\Omega+1))</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\times(\Omega+1))</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times(\Omega+1))</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2,1)(3,1)(2,2,2,1)
|-
|<math>\psi(\Omega_3\times\Omega2+\psi_2(\Omega_6\times(\Omega_3+\Omega_2)))</math>
|<math>\psi(a\times\Omega2+\psi_a(\sigma a\times(a+\Omega_2)))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega_2)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega a\Omega_2)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times\Omega_2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2,1)(3,1,1)
|-
|<math>\psi(\Omega_3\times\Omega2+\psi_2(\Omega_6\times\Omega_32))</math>
|<math>\psi(a\times\Omega2+\psi_a(\sigma a\times a2))</math>
|<math>\psi(\Omega_\omega^2+\Omega_\omega\Omega_3)</math>
|<math>\psi(\sigma^\omega a^2+\sigma^\omega aa)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2+\psi_S(\sigma S\times\omega)\times a)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1)(2,2,2,1)(3,2)(2,2,2,1)(3,2)
|-
|<math>\psi(\Omega_3\times(\Omega2+1))</math>
|<math>\psi(a\times(\Omega2+1))</math>
|<math>\psi(\Omega_\omega^22)</math>
|<math>\psi(\sigma^\omega a^22)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2\times2)</math>
|(0)(1,1,1,1)(2,1)(1,1,1,1)(2,1)(1,1,1,1)
|-
|<math>\psi(\Omega_3\times\Omega\omega)</math>
|<math>\psi(a\times\Omega\omega)</math>
|<math>\psi(\Omega_\omega^2\omega)</math>
|<math>\psi(\sigma^\omega a^2\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2\times\omega)</math>
|(0)(1,1,1,1)(2,1)(2)
|-
|<math>\psi(\Omega_3\times\Omega^2)</math>
|<math>\psi(a\times\Omega^2)</math>
|<math>\psi(\Omega_\omega^2\Omega)</math>
|<math>\psi(\sigma^\omega a^2\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^2\times\Omega)</math>
|(0)(1,1,1,1)(2,1)(2,1)
|-
|<math>\psi(\Omega_3\times(\Omega^2+1))</math>
|<math>\psi(a\times(\Omega^2+1))</math>
|<math>\psi(\Omega_\omega^3)</math>
|<math>\psi(\sigma^\omega a^3)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^3)</math>
|(0)(1,1,1,1)(2,1)(2,1)(1,1,1,1)
|-
|<math>\psi(\Omega_3\times\Omega^\omega)</math>
|<math>\psi(a\times\Omega^\omega)</math>
|<math>\psi(\Omega_\omega^\omega)</math>
|<math>\psi(\sigma^\omega a^\omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^\omega)</math>
|(0)(1,1,1,1)(2,1)(3)
|-
|<math>\psi(\Omega_3\times\Omega^\Omega)</math>
|<math>\psi(a\times\Omega^\Omega)</math>
|<math>\psi(\Omega_\omega^\Omega)</math>
|<math>\psi(\sigma^\omega a^\Omega)</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^\Omega)</math>
|(0)(1,1,1,1)(2,1)(3,1)
|-
|<math>\psi(\Omega_3\times(\Omega^\Omega+1))</math>
|<math>\psi(a\times(\Omega^\Omega+1))</math>
|<math>\psi(\Omega_\omega^{\Omega_\omega})</math>
|<math>\psi(\sigma^\omega a^{\sigma^\omega a})</math>
|<math>\psi(\psi_S(\sigma S\times\omega)^{\psi_S(\sigma S\times\omega)})</math>
|(0)(1,1,1,1)(2,1)(3,1)(1,1,1,1)
|-
|<math>\psi(\Omega_3\times\psi_1(\Omega_2))</math>
|<math>\psi(a\times\psi_1(\Omega_2))</math>
|<math>\psi(\psi_\omega(\Omega_{\omega+1}))=\psi(\varepsilon_{\Omega_\omega+1})</math>
|<math>\psi(\psi_{\sigma^\omega a+1}(\Omega_{\sigma^\omega a+1}))=\psi(\varepsilon_{\sigma^\omega a+1})</math>
|<math>\psi(\psi_S(\sigma S\times\omega+S))</math>
|(0)(1,1,1,1)(2,1)(3,2)
|}



未完待续
[[分类:分析]]