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0Yψ vs HPrSSψ vs 强LPrSS投影 vs 弱LPrSS投影 分析:修订间差异

来自Googology Wiki
量子杰克留言 | 贡献
到0,111,222,332,43
量子杰克留言 | 贡献
到0,1111
 
(未显示同一用户的3个中间版本)
第52行: 第52行:
|<math>\psi(a+\Omega_3)</math>
|<math>\psi(a+\Omega_3)</math>
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)
|-
|<math>\psi(\psi_2(\Omega_5)+\psi_2(\Omega_4\omega))</math>
|<math>\psi(\psi_a(a_2)+\Omega_\omega)</math>
|<math>\psi(\Omega_3+\psi_2(\Omega_4\omega))</math>
|<math>\psi(a+\Omega_\omega)</math>
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)(3)
|-
|<math>\psi(\psi_2(\Omega_5)+\psi_2(\Omega_4\Omega_3))</math>
|<math>\psi(\psi_a(a_2)+\psi_a(\Omega_{a+1}a))</math>
|<math>\psi(\Omega_3+\psi_2(\Omega_4\Omega_3))</math>
|<math>\psi(a+\psi_a(\Omega_{a+1}a))</math>
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)(3,2)
|-
|<math>\psi(\psi_2(\Omega_5)+\psi_2(\Omega_4^2))</math>
|<math>\psi(\psi_a(a_2)+\psi_a(\Omega_{a+1}^2))</math>
|<math>\psi(\Omega_3+\psi_2(\Omega_4^2))</math>
|<math>\psi(a+\psi_a(\Omega_{a+1}^2))</math>
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)(3,2,1)
|-
|-
|<math>\psi(\psi_2(\Omega_5)+\psi_2(\psi_4(\Omega_5)))</math>
|<math>\psi(\psi_2(\Omega_5)+\psi_2(\psi_4(\Omega_5)))</math>
第88行: 第70行:
|<math>\psi(a+\psi_a(a_2))</math>
|<math>\psi(a+\psi_a(a_2))</math>
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,2)
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,2)
|-
|<math>\psi(\psi_2(\Omega_5)\times3)</math>
|<math>\psi(\psi_a(a_2)\times3)</math>
|<math>\psi(\Omega_3+\psi_2(\Omega_5)\times2)</math>
|<math>\psi(a+\psi_a(a_2)\times2)</math>
|(0)(1,1,1)(2,2,2)(1,1,1)(2,2,2)(1,1,1)(2,2,2)
|-
|-
|<math>\psi(\psi_2(\Omega_5+1))</math>
|<math>\psi(\psi_2(\Omega_5+1))</math>
第292行: 第268行:
|<math>\psi(a2)</math>
|<math>\psi(a2)</math>
|(0)(1,1,1)(2,2,2)(2,2,2)
|(0)(1,1,1)(2,2,2)(2,2,2)
|-
|<math>\psi(\psi_2(\Omega_52)\times2)</math>
|<math>\psi(\psi_a(a_22)\times2)</math>
|<math>\psi(\Omega_32+\psi_2(\Omega_52))</math>
|<math>\psi(a2+\psi_a(a_22))</math>
|(0)(1,1,1)(2,2,2)(2,2,2)(1,1,1)(2,2,2)(2,2,2)
|-
|-
|<math>\psi(\psi_2(\Omega_52+1))</math>
|<math>\psi(\psi_2(\Omega_52+1))</math>
第560行: 第530行:
|<math>\psi(\psi_{a+1}(\Omega_{a+3}))</math>
|<math>\psi(\psi_{a+1}(\Omega_{a+3}))</math>
|(0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)
|(0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_6(\psi_8(\Omega_{10}\omega)))))</math>
|<math>\psi(\psi_a(\psi_{a_2+1}(\Omega_{a_2+\omega})))</math>
|<math>\psi(\psi_3(\psi_4(\psi_6(\Omega_8\omega))))</math>
|<math>\psi(\psi_{a+1}(\Omega_{a+\omega}))</math>
|(0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)(6)
|-
|<math>\psi(\psi_2(\psi_5(\psi_6(\psi_8(\Omega_{10}\Omega_9)))))</math>
|<math>\psi(\psi_a(\psi_{a_2+1}(\psi_{a_3}(\Omega_{a_3+1}a_3))))</math>
|<math>\psi(\psi_3(\psi_4(\psi_6(\Omega_8\Omega_7))))</math>
|<math>\psi(\psi_{a+1}(\psi_{a_2}(\Omega_{a_2+1}a_2)))</math>
|(0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)(6,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_6(\psi_8(\Omega_{10}^2)))))</math>
|<math>\psi(\psi_a(\psi_{a_2+1}(\psi_{a_3}(\Omega_{a_3+1}^2))))</math>
|<math>\psi(\psi_3(\psi_4(\psi_6(\Omega_8^2))))</math>
|<math>\psi(\psi_{a+1}(\psi_{a_2}(\Omega_{a_2+1}^2)))</math>
|(0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)(6,5,1)
|-
|-
|<math>\psi(\psi_2(\psi_5(\psi_6(\psi_8(\psi_{10}(\Omega_{11}))))))</math>
|<math>\psi(\psi_2(\psi_5(\psi_6(\psi_8(\psi_{10}(\Omega_{11}))))))</math>
第824行: 第776行:
|<math>\psi(\psi_{a_2}(\Omega_{a_2+2}))</math>
|<math>\psi(\psi_{a_2}(\Omega_{a_2+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)
|(0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_7(\Omega_9\omega))))</math>
|<math>\psi(\psi_a(\psi_{a_3}(\Omega_{a_3+\omega})))</math>
|<math>\psi(\psi_3(\psi_5(\Omega_7\omega)))</math>
|<math>\psi(\psi_{a_2}(\Omega_{a_2+\omega}))</math>
|(0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)(5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_7(\Omega_9\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{a_3}(\psi_{a_4}(\Omega_{a_4+1}a_4))))</math>
|<math>\psi(\psi_3(\psi_5(\Omega_7\Omega_6)))</math>
|<math>\psi(\psi_{a_2}(\psi_{a_3}(\Omega_{a_3+1}a_3)))</math>
|(0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_7(\Omega_9^2))))</math>
|<math>\psi(\psi_a(\psi_{a_3}(\psi_{a_4}(\Omega_{a_4+1}^2))))</math>
|<math>\psi(\psi_3(\psi_5(\Omega_7^2)))</math>
|<math>\psi(\psi_{a_2}(\psi_{a_3}(\Omega_{a_3+1}^2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)(5,4,1)
|-
|-
|<math>\psi(\psi_2(\psi_5(\psi_7(\psi_9(\Omega_{10})))))</math>
|<math>\psi(\psi_2(\psi_5(\psi_7(\psi_9(\Omega_{10})))))</math>
第978行: 第912行:
|<math>\psi(a_2+\psi_a(a_3+\Omega_{a+1}))</math>
|<math>\psi(a_2+\psi_a(a_3+\Omega_{a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\Omega_4\omega))</math>
|<math>\psi(\psi_a(a_3+\Omega_{a+\omega}))</math>
|<math>\psi(\psi_3(\Omega_6)+\psi_2(\psi_5(\Omega_8)+\Omega_4\omega))</math>
|<math>\psi(a_2+\psi_a(a_3+\Omega_{a+\omega}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\Omega_4\Omega_3))</math>
|<math>\psi(\psi_a(a_3+\psi_{a_2}(\Omega_{a_2+1}a_2)))</math>
|<math>\psi(\psi_3(\Omega_6)+\psi_2(\psi_5(\Omega_8)+\Omega_4\Omega_3))</math>
|<math>\psi(a_2+\psi_a(a_3+\psi_{a_2}(\Omega_{a_2+1}a_2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\Omega_4^2))</math>
|<math>\psi(\psi_a(a_3+\psi_{a_2}(\Omega_{a_2+1}^2)))</math>
|<math>\psi(\psi_3(\Omega_6)+\psi_2(\psi_5(\Omega_8)+\Omega_4^2))</math>
|<math>\psi(a_2+\psi_a(a_3+\psi_{a_2}(\Omega_{a_2+1}^2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,2,1)
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_4(\Omega_5)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_4(\Omega_5)))</math>
第1,038行: 第954行:
|<math>\psi(a_2+a)</math>
|<math>\psi(a_2+a)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\Omega_52))</math>
|<math>\psi(\psi_a(a_3+a_22))</math>
|<math>\psi(\psi_3(\Omega_6)+\Omega_32)</math>
|<math>\psi(a_2+a2)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(2,2,2)
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\Omega_5\omega))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\Omega_5\omega))</math>
第1,086行: 第996行:
|<math>\psi(a_2+\Omega_{a+1})</math>
|<math>\psi(a_2+\Omega_{a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_5(\Omega_7\omega)))</math>
|<math>\psi(\psi_a(a_3+\Omega_{a_2+\omega}))</math>
|<math>\psi(\psi_3(\Omega_6)+\psi_3(\Omega_5\omega))</math>
|<math>\psi(a_2+\Omega_{a+\omega})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_5(\Omega_7\Omega_6)))</math>
|<math>\psi(\psi_a(a_3+\psi_{a_3}(\Omega_{a_3+1}a_3)))</math>
|<math>\psi(\psi_3(\Omega_6)+\psi_3(\Omega_5\Omega_4))</math>
|<math>\psi(a_2+\psi_{a_2}(\Omega_{a_2+1}a_2))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_5(\Omega_7^2)))</math>
|<math>\psi(\psi_a(a_3+\psi_{a_3}(\Omega_{a_3+1}^2)))</math>
|<math>\psi(\psi_3(\Omega_6)+\psi_3(\Omega_5^2))</math>
|<math>\psi(a_2+\psi_{a_2}(\Omega_{a_2+1}^2))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4,3,1)
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_5(\psi_7(\Omega_8))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8)+\psi_5(\psi_7(\Omega_8))))</math>
第1,182行: 第1,074行:
|<math>\psi(\Omega_{a_2+1})</math>
|<math>\psi(\Omega_{a_2+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8+\Omega_7\omega)))</math>
|<math>\psi(\psi_a(\Omega_{a_3+\omega}))</math>
|<math>\psi(\psi_3(\Omega_6+\Omega_5\omega))</math>
|<math>\psi(\Omega_{a_2+\omega})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8+\Omega_7\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{a_4}(\Omega_{a_4+1}a_4)))</math>
|<math>\psi(\psi_3(\Omega_6+\Omega_5\Omega_4))</math>
|<math>\psi(\psi_{a_3}(\Omega_{a_3+1}a_3))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8+\Omega_7^2)))</math>
|<math>\psi(\psi_a(\psi_{a_4}(\Omega_{a_4+1}^2)))</math>
|<math>\psi(\psi_3(\Omega_6+\Omega_5^2))</math>
|<math>\psi(\psi_{a_3}(\Omega_{a_3+1}^2))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4,3,1)
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8+\psi_7(\Omega_8))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8+\psi_7(\Omega_8))))</math>
第1,230行: 第1,104行:
|<math>\psi(a_3)</math>
|<math>\psi(a_3)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,2)
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_82+\Omega_6)))</math>
|<math>\psi(\psi_a(\varepsilon_{a_4+1}))</math>
|<math>\psi(\psi_3(\Omega_62+\Omega_4))</math>
|<math>\psi(\varepsilon_{a_3+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,2)(3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_82+\Omega_7)))</math>
|<math>\psi(\psi_a(\Omega_{a_4+1}))</math>
|<math>\psi(\psi_3(\Omega_62+\Omega_5))</math>
|<math>\psi(\Omega_{a_3+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,2)(3,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_83)))</math>
|<math>\psi(\psi_a(a_5))</math>
|<math>\psi(\psi_3(\Omega_63))</math>
|<math>\psi(a_4)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(3,3,2)(3,3,2)
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\omega)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\omega)))</math>
第1,254行: 第1,110行:
|<math>\psi(a_\omega)</math>
|<math>\psi(a_\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4)
|(0)(1,1,1)(2,2,2)(3,3,2)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times(\omega+1))))</math>
|<math>\psi(\psi_a(a_{\omega+1}))</math>
|<math>\psi(\psi_3(\Omega_6\times(\omega+1)))</math>
|<math>\psi(a_{\omega+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4)(3,3,2)
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega)))</math>
第1,322行: 第1,172行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_3)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_3)))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_a)}))</math>
|<math>\psi(\psi_a(a_a))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_3))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_3))))</math>
|<math>\psi(a_{\psi_a(a_a)})</math>
|<math>\psi(a_{\psi_a(a_a)})</math>
第1,328行: 第1,178行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_3(\Omega_5))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_3(\Omega_5))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a+1}(\Omega_{a+2})})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a+1}(\Omega_{a+2})}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_3(\Omega_5)))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_3(\Omega_5)))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a+1}(\Omega_{a+2})})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a+1}(\Omega_{a+2})})})</math>
第1,334行: 第1,184行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_3(\psi_5(\Omega_8)))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_3(\psi_5(\Omega_8)))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a+1}(\psi_{a+2}(a_3))})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a+1}(\psi_{a+2}(a_3))}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_3(\Omega_6)))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_3(\Omega_6)))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a+1}(a_2)})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a+1}(a_2)})})</math>
第1,340行: 第1,190行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_3(\psi_5(\psi_8(\Omega_{11}))))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_3(\psi_5(\psi_8(\Omega_{11}))))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a+1}(\psi_{a+2}(a_4))})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a+1}(\psi_{a+2}(a_4))}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_3(\psi_6(\Omega_9))))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_3(\psi_6(\Omega_9))))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a+1}(a_3)})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a+1}(a_3)})})</math>
第1,346行: 第1,196行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4)))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\Omega_{a+1}})}))</math>
|<math>\psi(\psi_a(a_{\Omega_{a+1}}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4))))</math>
|<math>\psi(a_{\psi_a(a_{\Omega_{a+1}})})</math>
|<math>\psi(a_{\psi_a(a_{\Omega_{a+1}})})</math>
第1,352行: 第1,202行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4\omega)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4\omega)))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\Omega_{a+\omega}})}))</math>
|<math>\psi(\psi_a(a_{\Omega_{a+\omega}}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4\omega))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4\omega))))</math>
|<math>\psi(a_{\psi_a(a_{\Omega_{a+\omega}})})</math>
|<math>\psi(a_{\psi_a(a_{\Omega_{a+\omega}})})</math>
第1,358行: 第1,208行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4\Omega_3)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4\Omega_3)))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}a_2)})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}a_2)}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4\Omega_3))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4\Omega_3))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}a_2)})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}a_2)})})</math>
第1,364行: 第1,214行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4^2)))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_4^2)))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}^2)})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}^2)}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4^2))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\Omega_4^2))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}^2)})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+1}^2)})})</math>
第1,370行: 第1,220行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_5))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_5))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a_2}(\varepsilon_{\Omega_{a_2+1}+1})})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a_2}(\varepsilon_{\Omega_{a_2+1}+1})}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_5)))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_5)))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\varepsilon_{\Omega_{a_2+1}+1})})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\varepsilon_{\Omega_{a_2+1}+1})})})</math>
第1,376行: 第1,226行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_6))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_6))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+2})})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a_2}(\Omega_{a_2+2})}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_6)))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_6)))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+2})})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(\Omega_{a_2+2})})})</math>
第1,382行: 第1,232行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\psi_6(\Omega_9)))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\psi_6(\Omega_9)))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a_2}(a_3)})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a_2}(a_3)}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_7)))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\Omega_7)))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(a_3)})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(a_3)})})</math>
第1,388行: 第1,238行:
|-
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\psi_6(\psi_9(\Omega_{12}))))))</math>
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_4(\psi_6(\psi_9(\Omega_{12}))))))</math>
|<math>\psi(\psi_a(a_{\psi_a(a_{\psi_{a_2}(a_4)})}))</math>
|<math>\psi(\psi_a(a_{\psi_{a_2}(a_4)}))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\psi_7(\Omega_{10}))))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_2(\psi_5(\Omega_8\times\psi_4(\psi_7(\Omega_{10}))))))</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(a_4)})})</math>
|<math>\psi(a_{\psi_a(a_{\psi_{a_2}(a_4)})})</math>
第1,464行: 第1,314行:
|<math>\psi(a-\Phi(1,0))=\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a))</math>
|<math>\psi(a-\Phi(1,0))=\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)
|}
== 分析4:(0)(1,1,1)(2,2,2)(3,3,2)(4,3)~(0)(1,1,1)(2,2,2)(3,3,2)(4,4) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析1:(0)(1,1,1)(2,2,2)~(0)(1,1,1)(2,2,2)(3,3)
!0Yψ
!强LPrSS投影
!HPrSSψ
!弱LPrSS投影
!BMS
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6)+\Omega_5))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a)+a_2))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4)+\Omega_3)</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a)+a)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(2,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6)\times2))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a)\times2))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4)\times2)</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a)\times2)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(2,2,2)(3,3,2)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+1)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+1)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+1))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+1))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_5)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+a_2)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_3))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+a))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_5(\Omega_8\Omega_6))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a}(a_{\sigma a+1}\sigma a))))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_3(\Omega_6\Omega_4)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a}(a_{\sigma a+1}\sigma a)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,2,2)(4,3,2)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_4))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_62)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a2)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_42))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a2))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_6\omega)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a\omega)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_4\omega))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a\omega))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_6\Omega_5)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma aa_2)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_4\Omega_3))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma aa))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_6^2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a^2)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_4^2))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\sigma a^2))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_6(\Omega_7))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\varepsilon_{\sigma a+1})))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_4(\Omega_5)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\varepsilon_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_6(\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a+1}(\Omega_{\sigma a+2}))))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_4(\Omega_6)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a+1}(\Omega_{\sigma a+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_6(\psi_8(\Omega_{11})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a+1}(\psi_{a_{\sigma a+1}}(a_{\sigma a+2})))))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_4(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a+1}(a_{\sigma a+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4,1)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_6(\psi_8(\psi_{11}(\Omega_{14}\Omega_{12}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a+1}(\psi_{a_{\sigma a+1}}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2))))))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_4(\psi_7(\Omega_{10}\Omega_8))))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{\sigma a+1}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4,1)(5,5,2)(6,6,2)(7,6)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\Omega_{\sigma a+1})))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\Omega_5))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\Omega_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_7(\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\varepsilon_{\Omega_{\sigma a+1}+1})))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_5(\Omega_6)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\varepsilon_{\Omega_{\sigma a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_7(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\Omega_{\sigma a+2})))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_5(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\Omega_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_7(\Omega_{10}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{a_{\sigma a+1}}(a_{\sigma a+2}))))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_5(\Omega_8)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{a_{\sigma a+1}}(a_{\sigma a+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_6+\psi_7(\psi_{10}(\Omega_{13}\Omega_{11})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{a_{\sigma a+1}}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2)))))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_4+\psi_5(\psi_8(\Omega_{11}\Omega_9))))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\sigma a+\psi_{a_{\sigma a+1}}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4,2)(5,5,2)(6,5)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times(\Omega_6+1))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times(\sigma a+1))))=\psi(\psi_a(a_{a-\Phi(1,0)+1}))</math>
|<math>\psi(\psi_3(\Omega_6\times(\Omega_4+1)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times(\sigma a+1)))=\psi(a_{a-\Phi(1,0)+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\Omega_62)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\sigma a2)))=\psi(\psi_a(a-\Phi(1,1)))</math>
|<math>\psi(\psi_3(\Omega_6\times\Omega_42))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\sigma a2))=\psi(a-\Phi(1,1))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,2)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\Omega_6^2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\sigma a^2)))=\psi(\psi_a(a-\Phi(2,0)))</math>
|<math>\psi(\psi_3(\Omega_6\times\Omega_4^2))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\sigma a^2))=\psi(a-\Phi(2,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\Omega_6^{\Omega_6})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\sigma a^{\sigma a})))=\psi(\psi_a(a-\Phi(1,0,0)))</math>
|<math>\psi(\psi_3(\Omega_6\times\Omega_4^{\Omega_4}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\sigma a^{\sigma a}))=\psi(a-\Phi(1,0,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_6(\Omega_7))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\varepsilon_{\sigma a+1})))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_4(\Omega_5)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\varepsilon_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_6(\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{\sigma a+1}(\Omega_{\sigma a+2}))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_4(\Omega_6)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{\sigma a+1}(\Omega_{\sigma a+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_6(\psi_8(\Omega_{11})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{\sigma a+1}(\psi_{a_{\sigma a+1}}(a_{\sigma a+2})))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_4(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{\sigma a+1}(a_{\sigma a+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4,1)(6,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_6(\psi_8(\psi_{11}(\Omega_{14}\Omega_{12}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{\sigma a+1}(\psi_{a_{\sigma a+1}}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2))))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_4(\psi_7(\Omega_{10}\Omega_8))))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{\sigma a+1}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4,1)(6,5,2)(7,6,2)(8,6)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\Omega_{\sigma a+1})))=\psi(\psi_a(a-I(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6\Omega_5))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\Omega_{\sigma a+1}))=\psi(a-I(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times(\Omega_7+1))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times(\Omega_{\sigma a+1}+1))))</math>
|<math>\psi(\psi_3(\Omega_6\times(\Omega_5+1)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times(\Omega_{\sigma a+1}+1)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\Omega_72)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+1}2)))=\psi(\psi_a(a-I(1,1)))</math>
|<math>\psi(\psi_3(\Omega_6\times\Omega_52))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+1}2))=\psi(a-I(1,1))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(3,3,2)(4,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\Omega_7^2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+1}^2)))=\psi(\psi_a(a-I(2,0)))</math>
|<math>\psi(\psi_3(\Omega_6\times\Omega_5^2))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+1}^2))=\psi(a-I(2,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(4,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\Omega_7^{\Omega_7})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+1}^{\Omega_{\sigma a+1}})))=\psi(\psi_a(a-M(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6\times\Omega_5^{\Omega_5}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+1}^{\Omega_{\sigma a+1}}))=\psi(a-M(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_7(\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\varepsilon_{\Omega_{\sigma a+1}+1})))=\psi(\psi_a(a-\Pi_\omega))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_5(\Omega_6)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\varepsilon_{\Omega_{\sigma a+1}+1}))=\psi(a-\Pi_\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_7(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+2})))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_5(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\Omega_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_7(\psi_9(\Omega_{12})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{a_{\sigma a+1}}(a_{\sigma a+2}))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_5(\Omega_8)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{a_{\sigma a+1}}(a_{\sigma a+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_7(\psi_9(\psi_{12}(\Omega_{15}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{a_{\sigma a+1}}(a_{\sigma a+3}))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_5(\psi_8(\Omega_{11}))))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{a_{\sigma a+1}}(a_{\sigma a+3})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,2)(6,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8\times\psi_7(\psi_9(\psi_{12}(\Omega_{15}\Omega_{14}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{a_{\sigma a+1}}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\Omega_{\sigma a_2+1})))))</math>
|<math>\psi(\psi_3(\Omega_6\times\psi_5(\psi_8(\Omega_{11}\Omega_{10}))))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}\times\psi_{a_{\sigma a+1}}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\Omega_{\sigma a_2+1}))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,2)(6,5,2)(7,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^2)))=\psi(\psi_a(a(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6^2))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^2))=\psi(a(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^2+\Omega_8)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^2+a_{\sigma a+1})))=\psi(\psi_a(a_{a(1,0)+1}))</math>
|<math>\psi(\psi_3(\Omega_6^2+\Omega_6))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^2+a_{\sigma a+1}))=\psi(a_{a(1,0)+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^22)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^22)))=\psi(\psi_a(a(1,1)))</math>
|<math>\psi(\psi_3(\Omega_6^22))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^22))=\psi(a(1,1))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(3,3,2)(4,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^2\omega)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^2\omega)))=\psi(\psi_a(a(1,\omega)))</math>
|<math>\psi(\psi_3(\Omega_6^2\omega))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^2\omega))=\psi(a(1,\omega))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^2\Omega_5)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^2a_2)))=\psi(\psi_a(a(1,a_2)))</math>
|<math>\psi(\psi_3(\Omega_6^2\Omega_3))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^2a))=\psi(a(1,a))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^2\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^2\sigma a)))=\psi(\psi_a(a(1,x)-\Phi(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6^2\Omega_4))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^2\sigma a))=\psi(a(1,x)-\Phi(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^2\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^2\Omega_{\sigma a+1})))=\psi(\psi_a(a(1,x)-I(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6^2\Omega_5))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^2\Omega_{\sigma a+1}))=\psi(a(1,x)-I(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^3)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^3)))=\psi(\psi_a(a(2,0)))</math>
|<math>\psi(\psi_3(\Omega_6^3))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^3))=\psi(a(2,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^\omega)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^\omega)))=\psi(\psi_a(a(\omega,0)))</math>
|<math>\psi(\psi_3(\Omega_6^\omega))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^\omega))=\psi(a(\omega,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^{\Omega_5})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^{a_2})))=\psi(\psi_a(a(a_2,0)))</math>
|<math>\psi(\psi_3(\Omega_6^{\Omega_3}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^a))=\psi(a(a,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^{\Omega_6})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^{\sigma a})))=\psi(\psi_a(a(x,0)-\Phi(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6^{\Omega_4}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^{\sigma a}))=\psi(a(x,0)-\Phi(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^{\Omega_7})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^{\Omega_{\sigma a+1}})))=\psi(\psi_a(a(x,0)-I(1,0)))</math>
|<math>\psi(\psi_3(\Omega_6^{\Omega_5}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^{\Omega_{\sigma a+1}}))=\psi(a(x,0)-I(1,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^{\Omega_8})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^{a_{\sigma a+1}})))=\psi(\psi_a(a(1,0,0)))</math>
|<math>\psi(\psi_3(\Omega_6^{\Omega_6}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^{a_{\sigma a+1}}))=\psi(a(1,0,0))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_8^{\Omega_8^{\Omega_8}})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+1}^{a_{\sigma a+1}^{a_{\sigma a+1}}})))</math>
|<math>\psi(\psi_3(\Omega_6^{\Omega_6^{\Omega_6}}))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+1}^{a_{\sigma a+1}^{a_{\sigma a+1}}}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3,2)(6,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\varepsilon_{a_{\sigma a+1}+1})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(\varepsilon_{a_{\sigma a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)
|}
== 分析4:(0)(1,1,1)(2,2,2)(3,3,2)(4,4)~(0)(1,1,1)(2,2,2)(3,3,3) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析4:(0)(1,1,1)(2,2,2)(3,3,2)(4,4)~(0)(1,1,1)(2,2,2)(3,3,3)
!0Yψ
!强LPrSS投影
!HPrSSψ
!弱LPrSS投影
!BMS
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_9+1))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}+1))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_7+1)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}+1)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_92))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}2))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_72)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(4,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_9\omega))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}\omega))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_7\omega)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}\omega)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_9^2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}^2))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_7^2)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+1}^2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_9(\Omega_{10})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\varepsilon_{\Omega_{a_{\sigma a+1}+1}+1}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_7(\Omega_8))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\varepsilon_{\Omega_{a_{\sigma a+1}+1}+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_9(\Omega_{11})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+2}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_7(\Omega_9))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_9(\psi_{11}(\Omega_{13}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+3}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_7(\psi_9(\Omega_{11})))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\Omega_{a_{\sigma a+1}+3})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_9(\psi_{11}(\Omega_{14}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\psi_{a_{\sigma a+2}}(a_{\sigma a+3})))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_7(\Omega_{10}))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(a_{\sigma a+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_9(\psi_{11}(\psi_{14}(\Omega_{17})))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\psi_{a_{\sigma a+2}}(a_{\sigma a+4})))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_7(\psi_{10}(\Omega_{13})))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(a_{\sigma a+3})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,2)(7,7,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_9(\psi_{11}(\psi_{14}(\psi_{17}(\Omega_{18}))))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\psi_{a_{\sigma a+2}}(\psi_{\sigma a_2}(\varepsilon_{a_{\sigma a_2+1}+1}))))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_7(\psi_{10}(\psi_{13}(\Omega_{14}))))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+1}+1}(\psi_{\sigma a_2}(\varepsilon_{a_{\sigma a_2+1}+1}))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,2)(7,7,2)(8,8)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{10}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\Omega_{a_{\sigma a+1}+1})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_8)))</math>
|<math>\psi(\psi_{\sigma a}(\Omega_{a_{\sigma a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{10}(\Omega_{11})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\varepsilon_{\Omega_{a_{\sigma a+1}+1}+1})))</math>
|<math>\psi(\psi_3(\psi_6(\psi_8(\Omega_9))))</math>
|<math>\psi(\psi_{\sigma a}(\varepsilon_{\Omega_{a_{\sigma a+1}+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{10}(\Omega_{12})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\Omega_{a_{\sigma a+1}+2})))</math>
|<math>\psi(\psi_3(\psi_6(\psi_8(\Omega_{10}))))</math>
|<math>\psi(\psi_{\sigma a}(\Omega_{a_{\sigma a+1}+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{10}(\Omega_{13})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+2}}(a_{\sigma a+3}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_8(\Omega_{11}))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+2}}(a_{\sigma a+3})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{10}(\psi_{13}(\Omega_{16}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+2}}(a_{\sigma a+4}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_8(\psi_{11}(\Omega_{14})))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+2}}(a_{\sigma a+4})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,2)(6,6,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{10}(\psi_{13}(\psi_{16}(\Omega_{18})))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a+2}}(\psi_{\sigma a_2}(\Omega_{a_{\sigma a_2+1}+1})))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_8(\psi_{11}(\psi_{14}(\Omega_{16}))))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{a_{\sigma a+2}}(\psi_{\sigma a_2}(\Omega_{a_{\sigma a_2+1}+1}))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,2)(6,6,2)(7,7,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+2})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+3})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_92)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+3}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(4,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\omega))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+\omega})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\omega)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+\omega}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\Omega_5))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a+a_2})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\Omega_3)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a+a}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\Omega_6))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a2})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\Omega_4)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\sigma a2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\Omega_7))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\Omega_{\sigma a+1}})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\Omega_5)))</math>
|<math>\psi(\psi_{\sigma a}(a_{\Omega_{\sigma a+1}}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{a_{\sigma a+1}})))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\Omega_6)))</math>
|<math>\psi(\psi_{\sigma a}(a_{a_{\sigma a+1}}))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\sigma a_2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}\Omega_{10}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\Omega_{\sigma a_2+1}))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9\Omega_8)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+1}\Omega_{\sigma a_2+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\Omega_{11}^2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+1}^2))))</math>
|<math>\psi(\psi_3(\psi_6(\Omega_9^2)))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+1}^2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{11}(\Omega_{12})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(\varepsilon_{a_{\sigma a_2+1}+1}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_9(\Omega_{10}))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(\varepsilon_{a_{\sigma a_2+1}+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{11}(\Omega_{13})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(\Omega_{a_{\sigma a_2+1}+1}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_9(\Omega_{11}))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(\Omega_{a_{\sigma a_2+1}+1})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{11}(\Omega_{14})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+2}))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_9(\Omega_{12}))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(a_{\sigma a_2+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_8(\psi_{11}(\psi_{14}(\Omega_{17}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(\psi_{\sigma a_3}(a_{\sigma a_3+2})))))</math>
|<math>\psi(\psi_3(\psi_6(\psi_9(\psi_{12}(\Omega_{15})))))</math>
|<math>\psi(\psi_{\sigma a}(\psi_{\sigma a_2}(\psi_{\sigma a_3}(a_{\sigma a_3+2}))))</math>
|(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5,2)(6,6,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)))</math>
|<math>\psi(\Omega_4)</math>
|<math>\psi(\sigma a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)
|}
== 分析5:(0)(1,1,1)(2,2,2)(3,3,3)~(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析5:(0)(1,1,1)(2,2,2)(3,3,3)~(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)
!0Yψ
!强LPrSS投影
!HPrSSψ
!弱LPrSS投影
!BMS
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)))</math>
|<math>\psi(\Omega_4)</math>
|<math>\psi(\sigma a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9))+\Omega_2)</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2))+\Omega_2)</math>
|<math>\psi(\Omega_4+\Omega_2)</math>
|<math>\psi(\sigma a+\Omega_2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(1,1,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9))+\psi_2(\Omega_5))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2))+\psi_a(a_2))</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_5))</math>
|<math>\psi(\sigma a+\psi_a(a_2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(1,1,1)(2,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9))\times2)</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2))\times2)</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_6))</math>
|<math>\psi(\sigma a+\psi_a(\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(1,1,1)(2,2,2)(3,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+1))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+1))</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_6+1))</math>
|<math>\psi(\sigma a+\psi_a(\sigma a+1))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\Omega_3))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+a))</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_6+\Omega_3))</math>
|<math>\psi(\sigma a+\psi_a(\sigma a+a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\Omega_4))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\Omega_{a+1}))</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_6+\Omega_4))</math>
|<math>\psi(\sigma a+\psi_a(\sigma a+\Omega_{a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_4(\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{a_2}(a_3)))</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_6+\psi_4(\Omega_7)))</math>
|<math>\psi(\sigma a+\psi_a(\sigma a+\psi_{a_2}(a_3)))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,1)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_4(\psi_7(\Omega_{11}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{a_2}(\psi_{\sigma a}(\sigma a_2))))</math>
|<math>\psi(\Omega_4+\psi_2(\Omega_6+\psi_4(\Omega_8)))</math>
|<math>\psi(\sigma a+\psi_a(\sigma a+\psi_{a_2}(\sigma a)))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,1)(3,3,2)(4,4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\Omega_5))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+a_2))</math>
|<math>\psi(\Omega_4+\Omega_3)</math>
|<math>\psi(\sigma a+a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\varepsilon_{a_2+1}))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_4))</math>
|<math>\psi(\sigma a+\varepsilon_{a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\Omega_{a_2+1}))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_5))</math>
|<math>\psi(\sigma a+\Omega_{a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_8)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+a_3))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_6))</math>
|<math>\psi(\sigma a+a_2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_8\omega)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+a_\omega))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_6\omega))</math>
|<math>\psi(\sigma a+a_\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_8\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{\sigma a}(a_{\sigma a+1}\sigma a)))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_6\Omega_4))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(a_{\sigma a+1}\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_8\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{\sigma a}(a_{\sigma a+1}\Omega_{\sigma a+1})))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_6\Omega_5))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(a_{\sigma a+1}\Omega_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\Omega_8^2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{\sigma a}(a_{\sigma a+1}^2)))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_6^2))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(a_{\sigma a+1}^2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\psi_8(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{\sigma a}(\varepsilon_{a_{\sigma a+1}+1})))</math>
|<math>\psi(\Omega_4+\psi_3(\psi_6(\Omega_7)))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\varepsilon_{a_{\sigma a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\psi_8(\Omega_{10}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{\sigma a}(\Omega_{a_{\sigma a+1}+1})))</math>
|<math>\psi(\Omega_4+\psi_3(\psi_6(\Omega_8)))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\Omega_{a_{\sigma a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)+\psi_5(\psi_8(\Omega_{11}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)+\psi_{\sigma a}(a_{\sigma a+2})))</math>
|<math>\psi(\Omega_4+\psi_3(\psi_6(\Omega_9)))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(a_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9)\times2))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2)\times2))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+1)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+1)))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+1))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+1))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\Omega_5)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+a_2)))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\Omega_3))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\psi_5(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+\psi_{\sigma a}(\sigma a_2))))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\psi_3(\Omega_7)))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+\psi_{\sigma a}(\sigma a_2)))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,2,2)(4,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+\sigma a)))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\Omega_4))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+\Omega_{\sigma a+1})))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\Omega_5))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+\Omega_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\Omega_8)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+a_{\sigma a+1})))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\Omega_6))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+a_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\psi_8(\Omega_{11}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+a_{\sigma a+2})))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\psi_6(\Omega_9)))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+a_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)(4,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9+\psi_8(\Omega_{12}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2+\psi_{\sigma a_2}(\sigma a_3))))</math>
|<math>\psi(\Omega_4+\psi_3(\Omega_7+\psi_6(\Omega_{10})))</math>
|<math>\psi(\sigma a+\psi_{\sigma a}(\sigma a_2+\psi_{\sigma a_2}(\sigma a_3)))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)(4,4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_92)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_22)))</math>
|<math>\psi(\Omega_42)</math>
|<math>\psi(\sigma a2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(3,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\omega)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\omega)))</math>
|<math>\psi(\Omega_4\omega)</math>
|<math>\psi(\sigma a\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\Omega)))</math>
|<math>\psi(\Omega_4\Omega)</math>
|<math>\psi(\sigma a\Omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\Omega_2)))</math>
|<math>\psi(\Omega_4\Omega_2)</math>
|<math>\psi(\sigma a\Omega_2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,1,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\times\psi_2(\psi_5(\Omega_9)))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\times\psi_a(\psi_{\sigma a}(\sigma a_2)))))</math>
|<math>\psi(\Omega_4\times\psi_2(\Omega_6))</math>
|<math>\psi(\sigma a\times\psi_a(\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,1,1)(5,2,2)(6,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_3)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2a)))</math>
|<math>\psi(\Omega_4\times\psi_2(\Omega_6\Omega_3))</math>
|<math>\psi(\sigma a\times\psi_a(\sigma aa))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_4)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\Omega_{a+1})))</math>
|<math>\psi(\Omega_4\times\psi_2(\Omega_6\Omega_4))</math>
|<math>\psi(\sigma a\times\psi_a(\sigma a\Omega_{a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,2,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_5)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2a_2)))</math>
|<math>\psi(\Omega_4\Omega_3)</math>
|<math>\psi(\sigma aa)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\times\psi_5(\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\times\psi_{\sigma a}(\sigma a_2))))</math>
|<math>\psi(\Omega_4\times\psi_3(\Omega_7))</math>
|<math>\psi(\sigma a\times\psi_{\sigma a}(\sigma a_2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,2,2)(5,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_6)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\sigma a)))</math>
|<math>\psi(\Omega_4\times\psi_3(\Omega_7\Omega_4))</math>
|<math>\psi(\sigma a\times\psi_{\sigma a}(\sigma a_2\sigma a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_7)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2\Omega_{\sigma a+1})))</math>
|<math>\psi(\Omega_4\times\psi_3(\Omega_7\Omega_5))</math>
|<math>\psi(\sigma a\times\psi_{\sigma a}(\sigma a_2\Omega_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9\Omega_8)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2a_{\sigma a+1})))</math>
|<math>\psi(\Omega_4\times\psi_3(\Omega_7\Omega_6))</math>
|<math>\psi(\sigma a\times\psi_{\sigma a}(\sigma a_2a_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9^2)))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2^2)))</math>
|<math>\psi(\Omega_4^2)</math>
|<math>\psi(\sigma a^2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\Omega_9^{\Omega_9})))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_2^{\sigma a_2})))</math>
|<math>\psi(\Omega_4^{\Omega_4})</math>
|<math>\psi(\sigma a^{\sigma a})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,3,3)(5,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{10}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\varepsilon_{\sigma a_2+1})))</math>
|<math>\psi(\psi_4(\Omega_5))</math>
|<math>\psi(\varepsilon_{\sigma a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{10}(\Omega_{12})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2+1}(\Omega_{\sigma a_2+2}))))</math>
|<math>\psi(\psi_4(\psi_5(\Omega_7)))</math>
|<math>\psi(\psi_{\sigma a+1}(\Omega_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{10}(\psi_{12}(\Omega_{15}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2+1}(\psi_{a_{\sigma a_2+1}}(a_{\sigma a_2+2})))))</math>
|<math>\psi(\psi_4(\psi_5(\Omega_8)))</math>
|<math>\psi(\psi_{\sigma a+1}(a_{\sigma a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4)(5,5,1)(6,6,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{10}(\psi_{12}(\psi_{15}(\Omega_{18})))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2+1}(\psi_{a_{\sigma a_2+1}}(\psi_{\sigma a_3}(\sigma a_4))))))</math>
|<math>\psi(\psi_4(\psi_5(\Omega_9)))</math>
|<math>\psi(\psi_{\sigma a+1}(\sigma a_2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4)(5,5,1)(6,6,2)(7,7,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{11}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\Omega_{\sigma a_2+1})))</math>
|<math>\psi(\psi_4(\Omega_6))</math>
|<math>\psi(\Omega_{\sigma a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{11}(\Omega_{14})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a_2+1}}(a_{\sigma a_2+2}))))</math>
|<math>\psi(\psi_4(\psi_6(\Omega_9)))</math>
|<math>\psi(\psi_{a_{\sigma a+1}}(a_{\sigma a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{11}(\psi_{14}(\Omega_{18}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{a_{\sigma a_2+1}}(\psi_{\sigma a_3}(\sigma a_4)))))</math>
|<math>\psi(\psi_4(\psi_6(\Omega_{10})))</math>
|<math>\psi(\psi_{a_{\sigma a+1}}(\sigma a_2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)(5,5,2)(6,6,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{12}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a_2+1})))</math>
|<math>\psi(\psi_4(\Omega_7))</math>
|<math>\psi(a_{\sigma a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{12}(\Omega_{15})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(a_{\sigma a_2+2})))</math>
|<math>\psi(\psi_4(\psi_7(\Omega_{10})))</math>
|<math>\psi(a_{\sigma a+2})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{12}(\Omega_{16})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma a_2}(\sigma a_3))))</math>
|<math>\psi(\psi_4(\psi_7(\Omega_{11})))</math>
|<math>\psi(\psi_{\sigma a_2}(\sigma a_3))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)(5,5,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_3)))</math>
|<math>\psi(\psi_4(\Omega_8))</math>
|<math>\psi(\sigma a_2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_4)))</math>
|<math>\psi(\psi_4(\Omega_82))</math>
|<math>\psi(\sigma a_3)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(4,4,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\omega))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_\omega)))</math>
|<math>\psi(\psi_4(\Omega_8\omega))</math>
|<math>\psi(\sigma a_\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_\Omega)))</math>
|<math>\psi(\psi_4(\Omega_8\Omega))</math>
|<math>\psi(\sigma a_\Omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\Omega_2})))</math>
|<math>\psi(\psi_4(\Omega_8\Omega_2))</math>
|<math>\psi(\sigma a_{\Omega_2})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,1,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\times\psi_2(\psi_5(\Omega_9))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\psi_a(\psi_{\sigma a}(\sigma a_2))})))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_2(\Omega_6)))</math>
|<math>\psi(\sigma a_{\psi_a(\sigma a)})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,1,1)(6,2,2)(7,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_3))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_a)))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_2(\psi_6(\Omega_{10}\Omega_3))))</math>
|<math>\psi(\sigma a_{\psi_a(\sigma a_a)})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_4))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\Omega_{a+1}})))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_2(\psi_6(\Omega_{10}\Omega_4))))</math>
|<math>\psi(\sigma a_{\psi_a(\sigma a_{\Omega_{a+1}})})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_5))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{a_2})))</math>
|<math>\psi(\psi_4(\Omega_8\Omega_3))</math>
|<math>\psi(\sigma a_a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\times\psi_5(\Omega_9)))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\psi_{\sigma a}(\sigma a_2)})))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_3(\Omega_7)))</math>
|<math>\psi(\sigma a_{\psi_{\sigma a}(\sigma a_2)})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2,2)(6,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_6))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\sigma a})))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_3(\Omega_7\Omega_4)))</math>
|<math>\psi(\sigma a_{\psi_{\sigma a}(\sigma a_{\sigma a})})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_7))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\Omega_{\sigma a+1}})))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_3(\Omega_7\Omega_5)))</math>
|<math>\psi(\sigma a_{\psi_{\sigma a}(\sigma a_{\Omega_{\sigma a+1}})})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,3,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_8))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{a_{\sigma a+1}})))</math>
|<math>\psi(\psi_4(\Omega_8\times\psi_3(\Omega_7\Omega_6)))</math>
|<math>\psi(\sigma a_{\psi_{\sigma a}(\sigma a_{a_{\sigma a+1}})})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,3,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_9))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\sigma a_{\sigma a_2})))</math>
|<math>\psi(\psi_4(\Omega_8\Omega_4))</math>
|<math>\psi(\sigma a_{\sigma a})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,3,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_{10}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}\sigma^2a))))</math>
|<math>\psi(\psi_4(\Omega_8\Omega_5))</math>
|<math>\psi(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}\sigma^2a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_{11}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}\Omega_{\sigma^2a+1}))))</math>
|<math>\psi(\psi_4(\Omega_8\Omega_6))</math>
|<math>\psi(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}\Omega_{\sigma^2a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}\Omega_{12}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}a_{\sigma^2a+1}))))</math>
|<math>\psi(\psi_4(\Omega_8\Omega_7))</math>
|<math>\psi(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}a_{\sigma^2a+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{13}^2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}^2))))</math>
|<math>\psi(\psi_4(\Omega_8^2))</math>
|<math>\psi(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+1}^2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{13}(\Omega_{14})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\varepsilon_{\sigma a_{\sigma^2a+1}+1}))))</math>
|<math>\psi(\psi_4(\psi_8(\Omega_9)))</math>
|<math>\psi(\psi_{\sigma^2a}(\varepsilon_{\sigma a_{\sigma^2a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{13}(\Omega_{15})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\Omega_{\sigma a_{\sigma^2a+1}+1}))))</math>
|<math>\psi(\psi_4(\psi_8(\Omega_{10})))</math>
|<math>\psi(\psi_{\sigma^2a}(\Omega_{\sigma a_{\sigma^2a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{13}(\Omega_{16})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(a_{\sigma a_{\sigma^2a+1}+1}))))</math>
|<math>\psi(\psi_4(\psi_8(\Omega_{11})))</math>
|<math>\psi(\psi_{\sigma^2a}(a_{\sigma a_{\sigma^2a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{13}(\Omega_{17})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+2}))))</math>
|<math>\psi(\psi_4(\psi_8(\Omega_{12})))</math>
|<math>\psi(\psi_{\sigma^2a}(\sigma a_{\sigma^2a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{13}(\psi_{17}(\Omega_{21}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^2a_2}(\sigma a_{\sigma^2a_2+2})))))</math>
|<math>\psi(\psi_4(\psi_8(\psi_{12}(\Omega_{16}))))</math>
|<math>\psi(\psi_{\sigma^2a}(\psi_{\sigma^2a_2}(\sigma a_{\sigma^2a_2+2})))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,3)(6,6,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{14}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_2))))</math>
|<math>\psi(\Omega_5)</math>
|<math>\psi(\sigma^2a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)
|}
== 分析6:(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)~(0)(1,1,1,1) ==
{| class="wikitable" style="white-space: nowrap;"
|+分析6:(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)~(0)(1,1,1,1)
!0Yψ
!强LPrSS投影
!HPrSSψ
!弱LPrSS投影
!BMS
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{14}))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_2))))</math>
|<math>\psi(\Omega_5)</math>
|<math>\psi(\sigma^2a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{14}2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_22))))</math>
|<math>\psi(\Omega_52)</math>
|<math>\psi(\sigma^2a2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(4,4,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{14}\omega))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_2\omega))))</math>
|<math>\psi(\Omega_5\omega)</math>
|<math>\psi(\sigma^2a\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\Omega_{14}^2))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_2^2))))</math>
|<math>\psi(\Omega_5^2)</math>
|<math>\psi(\sigma^2a^2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,4,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{15})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\varepsilon_{\sigma^2a_2+1}))))</math>
|<math>\psi(\psi_5(\Omega_6))</math>
|<math>\psi(\varepsilon_{\sigma^2a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{16})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\Omega_{\sigma^2a_2+1}))))</math>
|<math>\psi(\psi_5(\Omega_7))</math>
|<math>\psi(\Omega_{\sigma^2a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,1)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{17})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(a_{\sigma^2a_2+1}))))</math>
|<math>\psi(\psi_5(\Omega_8))</math>
|<math>\psi(a_{\sigma^2a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,2)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{18})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma a_{\sigma^2a_2+1}))))</math>
|<math>\psi(\psi_5(\Omega_9))</math>
|<math>\psi(\sigma a_{\sigma^2a+1})</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,3)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{19})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_3))))</math>
|<math>\psi(\psi_5(\Omega_{10}))</math>
|<math>\psi(\sigma^2a_2)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{19}\omega)))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\sigma^2a_\omega))))</math>
|<math>\psi(\psi_5(\Omega_{10}\omega))</math>
|<math>\psi(\sigma^2a_\omega)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{19}\Omega_{15})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^3a}(\sigma^2a_{\sigma^3a+1}\sigma^3a)))))</math>
|<math>\psi(\psi_5(\Omega_{10}\Omega_6))</math>
|<math>\psi(\psi_{\sigma^3a}(\sigma^2a_{\sigma^3a+1}\sigma^3a))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{19}^2)))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^3a}(\sigma^2a_{\sigma^3a+1}^2)))))</math>
|<math>\psi(\psi_5(\Omega_{10}^2))</math>
|<math>\psi(\psi_{\sigma^3a}(\sigma^2a_{\sigma^3a+1}^2))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,5,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\psi_{19}(\Omega_{20}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^3a}(\varepsilon_{\sigma^2a_{\sigma^3a+1}+1})))))</math>
|<math>\psi(\psi_5(\psi_{10}(\Omega_{11})))</math>
|<math>\psi(\psi_{\sigma^3a}(\varepsilon_{\sigma^2a_{\sigma^3a+1}+1}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,6)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\psi_{19}(\Omega_{24}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^3a}(\sigma^2a_{\sigma^3a+2})))))</math>
|<math>\psi(\psi_5(\psi_{10}(\Omega_{15})))</math>
|<math>\psi(\psi_{\sigma^3a}(\sigma^2a_{\sigma^3a+2}))</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,6,4)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\Omega_{20})))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^3a}(\sigma^3a_2)))))</math>
|<math>\psi(\Omega_6)</math>
|<math>\psi(\sigma^3a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,5)
|-
|<math>\psi(\psi_2(\psi_5(\psi_9(\psi_{14}(\psi_{20}(\Omega_{27}))))))</math>
|<math>\psi(\psi_a(\psi_{\sigma a}(\psi_{\sigma^2a}(\psi_{\sigma^3a}(\psi_{\sigma^4a}(\sigma^4a_2))))))</math>
|<math>\psi(\Omega_7)</math>
|<math>\psi(\sigma^4a)</math>
|(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,5)(6,6,6)
|-
|<math>\psi(\Omega_3)</math>
|<math>\psi(a)</math>
|<math>\psi(\Omega_\omega)</math>
|<math>\psi(\sigma^\omega a)=\psi(\psi_S(\sigma S\omega))</math>
|(0)(1,1,1,1)
|}
|}
未完待续
未完待续
[[分类:分析]]
[[分类:分析]]

2026年6月3日 (三) 11:51的最新版本

上篇:HPrSSψ vs LPrSS投影 分析Part2

分析1:(0)(1,1,1)(2,2,2)~(0)(1,1,1)(2,2,2)(3,3)

分析1:(0)(1,1,1)(2,2,2)~(0)(1,1,1)(2,2,2)(3,3)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(Ω5)) ψ(ψa(a2)) ψ(Ω3) ψ(a) (0)(1,1,1)(2,2,2)
ψ(ψ2(Ω5)+Ω) ψ(ψa(a2)+Ω) ψ(Ω3+Ω) ψ(a+Ω) (0)(1,1,1)(2,2,2)(1,1)
ψ(ψ2(Ω5)+ψ1(Ω3)) ψ(ψa(a2)+ψ1(Ω3)) ψ(Ω3+ψ1(Ω3)) ψ(a+ψ1(Ω3)) (0)(1,1,1)(2,2,2)(1,1)(2,2,1)
ψ(ψ2(Ω5)+ψ1(ψ3(Ω5))) ψ(ψa(a2)+ψ1(Ω4)) ψ(Ω3+ψ1(ψ3(Ω5))) ψ(a+ψ1(Ω4)) (0)(1,1,1)(2,2,2)(1,1)(2,2,1)(3,3,1)
ψ(ψ2(Ω5)+ψ1(ψ3(Ω6))) ψ(ψa(a2)+ψ1(ψa(a2))) ψ(Ω3+ψ1(Ω4)) ψ(a+ψ1(a)) (0)(1,1,1)(2,2,2)(1,1)(2,2,1)(3,3,2)
ψ(ψ2(Ω5)+Ω2) ψ(ψa(a2)+Ω2) ψ(Ω3+Ω2) ψ(a+Ω2) (0)(1,1,1)(2,2,2)(1,1,1)
ψ(ψ2(Ω5)+ψ2(Ω4)) ψ(ψa(a2)+Ω3) ψ(Ω3+ψ2(Ω4)) ψ(a+Ω3) (0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)
ψ(ψ2(Ω5)+ψ2(ψ4(Ω5))) ψ(ψa(a2)+ψa(εΩa+1+1)) ψ(Ω3+ψ2(ψ4(Ω5))) ψ(a+ψa(εΩa+1+1)) (0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)(3,3)
ψ(ψ2(Ω5)+ψ2(ψ4(Ω6))) ψ(ψa(a2)+ψa(Ωa+2)) ψ(Ω3+ψ2(ψ4(Ω6))) ψ(a+ψa(Ωa+2)) (0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)(3,3,1)
ψ(ψ2(Ω5)×2) ψ(ψa(a2)×2) ψ(Ω3+ψ2(Ω5)) ψ(a+ψa(a2)) (0)(1,1,1)(2,2,2)(1,1,1)(2,2,2)
ψ(ψ2(Ω5+1)) ψ(ψa(a2+1)) ψ(Ω3+ψ2(Ω5+1)) ψ(a+ψa(a2+1)) (0)(1,1,1)(2,2,2)(2)
ψ(ψ2(Ω5+Ω)) ψ(ψa(a2+Ω)) ψ(Ω3+ψ2(Ω5+Ω)) ψ(a+ψa(a2+Ω)) (0)(1,1,1)(2,2,2)(2,1)
ψ(ψ2(Ω5+Ω2)) ψ(ψa(a2+Ω2)) ψ(Ω3+ψ2(Ω5+Ω2)) ψ(a+ψa(a2+Ω2)) (0)(1,1,1)(2,2,2)(2,1,1)
ψ(ψ2(Ω5+ψ2(Ω4))) ψ(ψa(a2+Ω3)) ψ(Ω3+ψ2(Ω5+ψ2(Ω4))) ψ(a+ψa(a2+Ω3)) (0)(1,1,1)(2,2,2)(2,1,1)(3,2,1)
ψ(ψ2(Ω5+ψ2(Ω5))) ψ(ψa(a2+ψa(a2))) ψ(Ω3+ψ2(Ω5+ψ2(Ω5))) ψ(a+ψa(a2+ψa(a2))) (0)(1,1,1)(2,2,2)(2,1,1)(3,2,2)
ψ(ψ2(Ω5+Ω3)) ψ(ψa(a2+a)) ψ(Ω3+ψ2(Ω5+Ω3)) ψ(a+ψa(a2+a)) (0)(1,1,1)(2,2,2)(2,2)
ψ(ψ2(Ω5+ψ3(Ω4))) ψ(ψa(a2+ψa+1(Ωa+1))) ψ(Ω3+ψ2(Ω5+ψ3(Ω4))) ψ(a+ψa(a2+ψa+1(Ωa+1))) (0)(1,1,1)(2,2,2)(2,2)(3,3)
ψ(ψ2(Ω5+ψ3(Ω5))) ψ(ψa(a2+ψa+1(Ωa+2))) ψ(Ω3+ψ2(Ω5+ψ3(Ω5))) ψ(a+ψa(a2+ψa+1(Ωa+2))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)
ψ(ψ2(Ω5+ψ3(ψ5(Ω7)))) ψ(ψa(a2+ψa+1(Ωa+3))) ψ(Ω3+ψ2(Ω5+ψ3(ψ5(Ω7)))) ψ(a+ψa(a2+ψa+1(Ωa+3))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,1)
ψ(ψ2(Ω5+ψ3(ψ5(Ω7ω)))) ψ(ψa(a2+ψa+1(Ωa+ω))) ψ(Ω3+ψ2(Ω5+ψ3(ψ5(Ω7ω)))) ψ(a+ψa(a2+ψa+1(Ωa+ω))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,1)(5)
ψ(ψ2(Ω5+ψ3(ψ5(Ω7Ω6)))) ψ(ψa(a2+ψa+1(ψa2(Ωa2+1a2)))) ψ(Ω3+ψ2(Ω5+ψ3(ψ5(Ω7Ω6)))) ψ(a+ψa(a2+ψa+1(ψa2(Ωa2+1a2)))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,1)(5,4)
ψ(ψ2(Ω5+ψ3(ψ5(Ω72)))) ψ(ψa(a2+ψa+1(ψa2(Ωa2+12)))) ψ(Ω3+ψ2(Ω5+ψ3(ψ5(Ω72)))) ψ(a+ψa(a2+ψa+1(ψa2(Ωa2+12)))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,1)(5,4,1)
ψ(ψ2(Ω5+ψ3(ψ5(ψ7(Ω8))))) ψ(ψa(a2+ψa+1(ψa2(εΩa2+1+1)))) ψ(Ω3+ψ2(Ω5+ψ3(ψ5(ψ7(Ω8))))) ψ(a+ψa(a2+ψa+1(ψa2(εΩa2+1+1)))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,1)(5,5)
ψ(ψ2(Ω5+ψ3(ψ5(ψ7(Ω9))))) ψ(ψa(a2+ψa+1(ψa2(Ωa2+2)))) ψ(Ω3+ψ2(Ω5+ψ3(ψ5(ψ7(Ω9))))) ψ(a+ψa(a2+ψa+1(ψa2(Ωa2+2)))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,1)(5,5,1)
ψ(ψ2(Ω5+ψ3(ψ5(Ω8)))) ψ(ψa(a2+ψa+1(a2))) ψ(Ω3+ψ2(Ω5+ψ3(Ω6))) ψ(a+ψa(a2+ψa+1(a2))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,2)
ψ(ψ2(Ω5+ψ3(ψ5(Ω8+Ω6)))) ψ(ψa(a2+ψa+1(a2+a))) ψ(Ω3+ψ2(Ω5+ψ3(Ω6+Ω4))) ψ(a+ψa(a2+ψa+1(a2+a))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,2)(5,5)
ψ(ψ2(Ω5+ψ3(ψ5(Ω8)+ψ6(ψ8(Ω11))))) ψ(ψa(a2+ψa+1(a2+ψa+2(a2)))) ψ(Ω3+ψ2(Ω5+ψ3(Ω6+ψ4(Ω7)))) ψ(a+ψa(a2+ψa+1(a2+ψa+2(a2)))) (0)(1,1,1)(2,2,2)(2,2)(3,3,1)(4,4,2)(5,5)(6,6,1)(7,7,2)
ψ(ψ2(Ω5+Ω4)) ψ(ψa(a2+Ωa+1)) ψ(Ω3+ψ2(Ω5+Ω4)) ψ(a+ψa(a2+Ωa+1)) (0)(1,1,1)(2,2,2)(2,2,1)
ψ(ψ2(Ω5+Ω4ω)) ψ(ψa(a2+Ωa+1ω)) ψ(Ω3+ψ2(Ω5+Ω4ω)) ψ(a+ψa(a2+Ωa+1ω)) (0)(1,1,1)(2,2,2)(2,2,1)(3)
ψ(ψ2(Ω5+Ω4Ω3)) ψ(ψa(a2+Ωa+1a)) ψ(Ω3+ψ2(Ω5+Ω4Ω3)) ψ(a+ψa(a2+Ωa+1a)) (0)(1,1,1)(2,2,2)(2,2,1)(3,2)
ψ(ψ2(Ω5+Ω42)) ψ(ψa(a2+Ωa+12)) ψ(Ω3+ψ2(Ω5+Ω42)) ψ(a+ψa(a2+Ωa+12)) (0)(1,1,1)(2,2,2)(2,2,1)(3,2,1)
ψ(ψ2(Ω5+ψ4(Ω5))) ψ(ψa(a2+εΩa+1+1)) ψ(Ω3+ψ2(Ω5+ψ4(Ω5))) ψ(a+ψa(a2+εΩa+1+1)) (0)(1,1,1)(2,2,2)(2,2,1)(3,3)
ψ(ψ2(Ω5+ψ4(Ω6))) ψ(ψa(a2+Ωa+2)) ψ(Ω3+ψ2(Ω5+ψ4(Ω6))) ψ(a+ψa(a2+Ωa+2)) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)
ψ(ψ2(Ω5+ψ4(Ω6ω))) ψ(ψa(a2+Ωa+ω)) ψ(Ω3+ψ2(Ω5+ψ4(Ω6ω))) ψ(a+ψa(a2+Ωa+ω)) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)(4)
ψ(ψ2(Ω5+ψ4(Ω6Ω5))) ψ(ψa(a2+ψa2(Ωa2+1a2))) ψ(Ω3+ψ2(Ω5+ψ4(Ω6Ω5))) ψ(a+ψa(a2+ψa2(Ωa2+1a2))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)(4,3)
ψ(ψ2(Ω5+ψ4(Ω62))) ψ(ψa(a2+ψa2(Ωa2+12))) ψ(Ω3+ψ2(Ω5+ψ4(Ω62))) ψ(a+ψa(a2+ψa2(Ωa2+12))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)(4,3,1)
ψ(ψ2(Ω5+ψ4(ψ6(Ω7)))) ψ(ψa(a2+ψa2(εΩa2+1+1))) ψ(Ω3+ψ2(Ω5+ψ4(ψ6(Ω7)))) ψ(a+ψa(a2+ψa2(εΩa2+1+1))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)(4,4)
ψ(ψ2(Ω5+ψ4(ψ6(Ω8)))) ψ(ψa(a2+ψa2(Ωa2+2))) ψ(Ω3+ψ2(Ω5+ψ4(ψ6(Ω8)))) ψ(a+ψa(a2+ψa2(Ωa2+2))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)(4,4,1)
ψ(ψ2(Ω5+ψ4(Ω7))) ψ(ψa(a2+ψa2(a3))) ψ(Ω3+ψ2(Ω5+ψ4(Ω7))) ψ(a+ψa(a2+ψa2(a3))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)
ψ(ψ2(Ω5+ψ4(Ω7+Ω5))) ψ(ψa(a2+ψa2(a3+a2))) ψ(Ω3+ψ2(Ω5+ψ4(Ω7+Ω5))) ψ(a+ψa(a2+ψa2(a3+a2))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)(3,3)
ψ(ψ2(Ω5+ψ4(Ω7+Ω6))) ψ(ψa(a2+ψa2(a3+Ωa2+1))) ψ(Ω3+ψ2(Ω5+ψ4(Ω7+Ω6))) ψ(a+ψa(a2+ψa2(a3+Ωa2+1))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)(3,3,1)
ψ(ψ2(Ω5+ψ4(Ω7+ψ6(Ω9)))) ψ(ψa(a2+ψa2(a3+ψa3(a4)))) ψ(Ω3+ψ2(Ω5+ψ4(Ω7+ψ6(Ω9)))) ψ(a+ψa(a2+ψa2(a3+ψa3(a4)))) (0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)(3,3,1)(4,4,2)
ψ(ψ2(Ω52)) ψ(ψa(a22)) ψ(Ω32) ψ(a2) (0)(1,1,1)(2,2,2)(2,2,2)
ψ(ψ2(Ω52+1)) ψ(ψa(a22+1)) ψ(Ω32+ψ2(Ω52+1)) ψ(a2+ψa(a22+1)) (0)(1,1,1)(2,2,2)(2,2,2)(2)
ψ(ψ2(Ω52+Ω3)) ψ(ψa(a22+a)) ψ(Ω32+ψ2(Ω52+Ω3)) ψ(a2+ψa(a22+a)) (0)(1,1,1)(2,2,2)(2,2,2)(2,2)
ψ(ψ2(Ω52+Ω4)) ψ(ψa(a22+Ωa+1)) ψ(Ω32+ψ2(Ω52+Ω4)) ψ(a2+ψa(a22+Ωa+1)) (0)(1,1,1)(2,2,2)(2,2,2)(2,2,1)
ψ(ψ2(Ω52+ψ4(Ω7))) ψ(ψa(a22+ψa2(a3))) ψ(Ω32+ψ2(Ω52+ψ4(Ω7))) ψ(a2+ψa(a22+ψa2(a3))) (0)(1,1,1)(2,2,2)(2,2,2)(2,2,1)(3,3,2)
ψ(ψ2(Ω52+ψ4(Ω72))) ψ(ψa(a22+ψa2(a32))) ψ(Ω32+ψ2(Ω52+ψ4(Ω72))) ψ(a2+ψa(a22+ψa2(a32))) (0)(1,1,1)(2,2,2)(2,2,2)(2,2,1)(3,3,2)(3,3,2)
ψ(ψ2(Ω53)) ψ(ψa(a23)) ψ(Ω33) ψ(a3) (0)(1,1,1)(2,2,2)(2,2,2)(2,2,2)
ψ(ψ2(Ω5ω)) ψ(ψa(a2ω)) ψ(Ω3ω) ψ(aω) (0)(1,1,1)(2,2,2)(3)
ψ(ψ2(Ω5Ω)) ψ(ψa(a2Ω)) ψ(Ω3Ω) ψ(aΩ) (0)(1,1,1)(2,2,2)(3,1)
ψ(ψ2(Ω5Ω2)) ψ(ψa(a2Ω2)) ψ(Ω3Ω2) ψ(aΩ2) (0)(1,1,1)(2,2,2)(3,1,1)
ψ(ψ2(Ω5×ψ2(Ω4))) ψ(ψa(a2Ω3)) ψ(Ω3×ψ2(Ω4)) ψ(aΩ3) (0)(1,1,1)(2,2,2)(3,1,1)(4,2,1)
ψ(ψ2(Ω5×ψ2(Ω5))) ψ(ψa(a2×ψa(a2))) ψ(Ω3×ψ2(Ω5)) ψ(a×ψa(a2)) (0)(1,1,1)(2,2,2)(3,1,1)(4,2,2)
ψ(ψ2(Ω5×ψ2(Ω5×ψ2(Ω5)))) ψ(ψa(a2×ψa(a2×ψa(a2)))) ψ(Ω3×ψ2(Ω5×ψ2(Ω5))) ψ(a×ψa(a2×ψa(a2))) (0)(1,1,1)(2,2,2)(3,1,1)(4,2,2)(5,1,1)(6,2,2)
ψ(ψ2(Ω5Ω3)) ψ(ψa(a2a)) ψ(Ω3×ψ2(Ω5Ω3)) ψ(a×ψa(a2a)) (0)(1,1,1)(2,2,2)(3,2)
ψ(ψ2(Ω5×ψ3(Ω5))) ψ(ψa(a2×ψa+1(Ωa+2))) ψ(Ω3×ψ2(Ω5×ψ3(Ω5))) ψ(a×ψa(a2×ψa+1(Ωa+2))) (0)(1,1,1)(2,2,2)(3,2)(4,3,1)
ψ(ψ2(Ω5×ψ3(ψ5(Ω7)))) ψ(ψa(a2×ψa+1(Ωa+3))) ψ(Ω3×ψ2(Ω5×ψ3(ψ5(Ω7)))) ψ(a×ψa(a2×ψa+1(Ωa+3))) (0)(1,1,1)(2,2,2)(3,2)(4,3,1)(5,4,1)
ψ(ψ2(Ω5×ψ3(ψ5(Ω8)))) ψ(ψa(a2×ψa+1(ψa2(a3)))) ψ(Ω3×ψ2(Ω5×ψ3(Ω6))) ψ(a×ψa(a2×ψa+1(ψa2(a3)))) (0)(1,1,1)(2,2,2)(3,2)(4,3,1)(5,4,2)
ψ(ψ2(Ω5×ψ3(ψ5(Ω8Ω6)))) ψ(ψa(a2×ψa+1(ψa2(a3a2)))) ψ(Ω3×ψ2(Ω5×ψ3(Ω6Ω4))) ψ(a×ψa(a2×ψa+1(ψa2(a3a2)))) (0)(1,1,1)(2,2,2)(3,2)(4,3,1)(5,4,2)(6,4)
ψ(ψ2(Ω5×ψ3(ψ5(Ω8×ψ6(ψ8(Ω11)))))) ψ(ψa(a2×ψa+1(ψa2(a3×ψa2+1(ψa3(a4)))))) ψ(Ω3×ψ2(Ω5×ψ3(Ω6×ψ4(Ω7)))) ψ(a×ψa(a2×ψa+1(ψa2(a3×ψa2+1(ψa3(a4)))))) (0)(1,1,1)(2,2,2)(3,2)(4,3,1)(5,4,2)(6,4)(7,5,1)(8,6,2)
ψ(ψ2(Ω5Ω4)) ψ(ψa(a2×Ωa+1)) ψ(Ω3×ψ2(Ω5Ω4)) ψ(a×ψa(a2×Ωa+1)) (0)(1,1,1)(2,2,2)(3,2,1)
ψ(ψ2(Ω5×ψ4(Ω6))) ψ(ψa(a2×Ωa+2)) ψ(Ω3×ψ2(Ω5×ψ4(Ω6))) ψ(a×ψa(a2×Ωa+2)) (0)(1,1,1)(2,2,2)(3,2,1)(4,3,1)
ψ(ψ2(Ω5×ψ4(Ω7))) ψ(ψa(a2×ψa2(a3))) ψ(Ω3×ψ2(Ω5×ψ4(Ω7))) ψ(a×ψa(a2×ψa2(a3))) (0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)
ψ(ψ2(Ω5×ψ4(Ω7×ψ6(Ω9)))) ψ(ψa(a2×ψa2(a3×ψa3(a4)))) ψ(Ω3×ψ2(Ω5×ψ4(Ω7×ψ6(Ω9)))) ψ(a×ψa(a2×ψa2(a3×ψa3(a4)))) (0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,3,1)(6,4,2)
ψ(ψ2(Ω52)) ψ(ψa(a22)) ψ(Ω32) ψ(a2) (0)(1,1,1)(2,2,2)(3,2,2)
ψ(ψ2(Ω5ω)) ψ(ψa(a2ω)) ψ(Ω3ω) ψ(aω) (0)(1,1,1)(2,2,2)(3,2,2)(4)
ψ(ψ2(Ω5Ω5)) ψ(ψa(a2a2)) ψ(Ω3Ω3) ψ(aa) (0)(1,1,1)(2,2,2)(3,2,2)(4,2,2)
ψ(ψ2(ψ5(Ω6)))=ψ(ψ2(εΩ5+1)) ψ(ψa(ψa2+1(Ωa2+1)))=ψ(ψa(εa2+1)) ψ(ψ3(Ω4))=ψ(εΩ3+1) ψ(ψa+1(Ωa+1))=ψ(εa+1) (0)(1,1,1)(2,2,2)(3,3)

分析2:(0)(1,1,1)(2,2,2)(3,3)~(0)(1,1,1)(2,2,2)(3,3,2)

分析2:(0)(1,1,1)(2,2,2)(3,3)~(0)(1,1,1)(2,2,2)(3,3,2)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(ψ5(Ω6))) ψ(ψa(ψa2+1(Ωa2+1))) ψ(ψ3(Ω4)) ψ(ψa+1(Ωa+1)) (0)(1,1,1)(2,2,2)(3,3)
ψ(ψ2(ψ5(Ω6)+Ω5)) ψ(ψa(ψa2+1(Ωa2+1)+a2)) ψ(ψ3(Ω4)+Ω3) ψ(ψa+1(Ωa+1)+a) (0)(1,1,1)(2,2,2)(3,3)(2,2,2)
ψ(ψ2(ψ5(Ω6)×2)) ψ(ψa(ψa2+1(Ωa2+1)×2)) ψ(ψ3(Ω4)×2) ψ(ψa+1(Ωa+1)×2) (0)(1,1,1)(2,2,2)(3,3)(2,2,2)(3,3)
ψ(ψ2(ψ5(Ω6+1))) ψ(ψa(ψa2+1(Ωa2+1+1))) ψ(ψ3(Ω4+1)) ψ(ψa+1(Ωa+1+1)) (0)(1,1,1)(2,2,2)(3,3)(3)
ψ(ψ2(ψ5(Ω6+Ω5))) ψ(ψa(ψa2+1(Ωa2+1+a2))) ψ(ψ3(Ω4+Ω3)) ψ(ψa+1(Ωa+1+a)) (0)(1,1,1)(2,2,2)(3,3)(3,2,2)
ψ(ψ2(ψ5(Ω62))) ψ(ψa(ψa2+1(Ωa2+12))) ψ(ψ3(Ω42)) ψ(ψa+1(Ωa+12)) (0)(1,1,1)(2,2,2)(3,3)(3,3)
ψ(ψ2(ψ5(Ω6ω))) ψ(ψa(ψa2+1(Ωa2+1ω))) ψ(ψ3(Ω4ω)) ψ(ψa+1(Ωa+1ω)) (0)(1,1,1)(2,2,2)(3,3)(4)
ψ(ψ2(ψ5(Ω6Ω5))) ψ(ψa(ψa2+1(Ωa2+1a2))) ψ(ψ3(Ω4Ω3)) ψ(ψa+1(Ωa+1a)) (0)(1,1,1)(2,2,2)(3,3)(4,2,2)
ψ(ψ2(ψ5(Ω62))) ψ(ψa(ψa2+1(Ωa2+12))) ψ(ψ3(Ω42)) ψ(ψa+1(Ωa+12)) (0)(1,1,1)(2,2,2)(3,3)(4,3)
ψ(ψ2(ψ5(ψ6(Ω7)))) ψ(ψa(ψa2+1(εΩa2+1+1))) ψ(ψ3(ψ4(Ω5))) ψ(ψa+1(εΩa+1+1)) (0)(1,1,1)(2,2,2)(3,3)(4,4)
ψ(ψ2(ψ5(ψ6(Ω8)))) ψ(ψa(ψa2+1(Ωa2+2))) ψ(ψ3(ψ4(Ω6))) ψ(ψa+1(Ωa+2)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)
ψ(ψ2(ψ5(ψ6(Ω82)))) ψ(ψa(ψa2+1(Ωa2+22))) ψ(ψ3(ψ4(Ω62))) ψ(ψa+1(Ωa+22)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(4,4,1)
ψ(ψ2(ψ5(ψ6(Ω8ω)))) ψ(ψa(ψa2+1(Ωa2+2ω))) ψ(ψ3(ψ4(Ω6ω))) ψ(ψa+1(Ωa+2ω)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5)
ψ(ψ2(ψ5(ψ6(Ω82)))) ψ(ψa(ψa2+1(Ωa2+22))) ψ(ψ3(ψ4(Ω62))) ψ(ψa+1(Ωa+22)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,4,1)
ψ(ψ2(ψ5(ψ6(ψ8(Ω9))))) ψ(ψa(ψa2+1(εΩa2+2+1))) ψ(ψ3(ψ4(ψ6(Ω7)))) ψ(ψa+1(εΩa+2+1)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5)
ψ(ψ2(ψ5(ψ6(ψ8(Ω10))))) ψ(ψa(ψa2+1(Ωa2+3))) ψ(ψ3(ψ4(ψ6(Ω8)))) ψ(ψa+1(Ωa+3)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)
ψ(ψ2(ψ5(ψ6(ψ8(ψ10(Ω11)))))) ψ(ψa(ψa2+1(ψa3(εΩa3+1+1)))) ψ(ψ3(ψ4(ψ6(ψ8(Ω9))))) ψ(ψa+1(ψa2(εΩa2+1+1))) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)(6,6)
ψ(ψ2(ψ5(ψ6(ψ8(ψ10(Ω12)))))) ψ(ψa(ψa2+1(ψa3(Ωa3+2)))) ψ(ψ3(ψ4(ψ6(ψ8(Ω10))))) ψ(ψa+1(ψa2(Ωa2+2))) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,1)(6,6,1)
ψ(ψ2(ψ5(ψ6(ψ8(Ω11))))) ψ(ψa(ψa2+1(a3))) ψ(ψ3(ψ4(Ω7))) ψ(ψa+1(a2)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(ψ6(ψ8(ψ11(Ω12)))))) ψ(ψa(ψa2+1(εa3+1))) ψ(ψ3(ψ4(ψ7(Ω8)))) ψ(ψa+1(εa2+1)) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,2)(6,6)
ψ(ψ2(ψ5(ψ6(ψ8(ψ11(ψ12(Ω14))))))) ψ(ψa(ψa2+1(ψa3(ψa4+1(Ωa4+2))))) ψ(ψ3(ψ4(ψ7(ψ8(Ω10))))) ψ(ψa+1(ψa2+1(Ωa2+2))) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,2)(6,6)(7,7,1)
ψ(ψ2(ψ5(ψ6(ψ8(ψ11(ψ12(ψ14(Ω17)))))))) ψ(ψa(ψa2+1(ψa3(ψa4+1(a5))))) ψ(ψ3(ψ4(ψ7(ψ8(Ω11))))) ψ(ψa+1(ψa2+1(a3))) (0)(1,1,1)(2,2,2)(3,3)(4,4,1)(5,5,2)(6,6)(7,7,1)(8,8,2)
ψ(ψ2(ψ5(Ω7))) ψ(ψa(Ωa2+1)) ψ(ψ3(Ω5)) ψ(Ωa+1) (0)(1,1,1)(2,2,2)(3,3,1)
ψ(ψ2(ψ5(Ω7)+Ω5)) ψ(ψa(Ωa2+1+a2)) ψ(ψ3(Ω5)+Ω3) ψ(Ωa+1+a) (0)(1,1,1)(2,2,2)(3,3,1)(2,2,2)
ψ(ψ2(ψ5(Ω7)×2)) ψ(ψa(Ωa2+12)) ψ(ψ3(Ω5)×2) ψ(Ωa+12) (0)(1,1,1)(2,2,2)(3,3,1)(2,2,2)(3,3,1)
ψ(ψ2(ψ5(Ω7+1))) ψ(ψa(Ωa2+1ω)) ψ(ψ3(Ω5+1)) ψ(Ωa+1ω) (0)(1,1,1)(2,2,2)(3,3,1)(3)
ψ(ψ2(ψ5(Ω7+ψ5(Ω7)))) ψ(ψa(Ωa2+12)) ψ(ψ3(Ω5+ψ3(Ω5))) ψ(Ωa+12) (0)(1,1,1)(2,2,2)(3,3,1)(3,2,2)(4,3,1)
ψ(ψ2(ψ5(Ω7+Ω6))) ψ(ψa(εΩa2+1+1)) ψ(ψ3(Ω5+Ω4)) ψ(εΩa+1+1) (0)(1,1,1)(2,2,2)(3,3,1)(3,3)
ψ(ψ2(ψ5(Ω7+ψ6(Ω8)))) ψ(ψa(ψa2+2(Ωa2+3))) ψ(ψ3(Ω5+ψ4(Ω6))) ψ(ψa+2(Ωa+3)) (0)(1,1,1)(2,2,2)(3,3,1)(3,3)(4,4,1)
ψ(ψ2(ψ5(Ω7+ψ6(ψ8(Ω11))))) ψ(ψa(ψa2+2(a3))) ψ(ψ3(Ω5+ψ4(Ω7))) ψ(ψa+2(a2)) (0)(1,1,1)(2,2,2)(3,3,1)(3,3)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(Ω7+ψ6(ψ8(ψ11(Ω13)))))) ψ(ψa(ψa2+2(Ωa3+1))) ψ(ψ3(Ω5+ψ4(ψ7(Ω9)))) ψ(ψa+2(Ωa2+1)) (0)(1,1,1)(2,2,2)(3,3,1)(3,3)(4,4,1)(5,5,2)(6,6,1)
ψ(ψ2(ψ5(Ω72))) ψ(ψa(Ωa2+2)) ψ(ψ3(Ω52)) ψ(Ωa+2) (0)(1,1,1)(2,2,2)(3,3,1)(3,3,1)
ψ(ψ2(ψ5(Ω7ω))) ψ(ψa(Ωa2+ω)) ψ(ψ3(Ω5ω)) ψ(Ωa+ω) (0)(1,1,1)(2,2,2)(3,3,1)(4)
ψ(ψ2(ψ5(Ω7Ω))) ψ(ψa(Ωa2+Ω)) ψ(ψ3(Ω5Ω)) ψ(Ωa+Ω) (0)(1,1,1)(2,2,2)(3,3,1)(4,1)
ψ(ψ2(ψ5(Ω7Ω2))) ψ(ψa(Ωa2+Ω2)) ψ(ψ3(Ω5Ω2)) ψ(Ωa+Ω2) (0)(1,1,1)(2,2,2)(3,3,1)(4,1,1)
ψ(ψ2(ψ5(Ω7×ψ2(Ω5)))) ψ(ψa(Ωa2+ψa(a2))) ψ(ψ3(Ω5×ψ2(Ω5))) ψ(Ωa+ψa(a2)) (0)(1,1,1)(2,2,2)(3,3,1)(4,1,1)(5,2,2)
ψ(ψ2(ψ5(Ω7×ψ2(ψ5(Ω7))))) ψ(ψa(Ωa2+ψa(Ωa2+1))) ψ(ψ3(Ω5×ψ2(ψ5(Ω7)))) ψ(Ωa+ψa(Ωa2+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,1,1)(5,2,2)(6,3,1)
ψ(ψ2(ψ5(Ω7Ω3))) ψ(ψa(Ωa2+a)) ψ(ψ3(Ω5×ψ2(ψ5(Ω7Ω3)))) ψ(Ωa+ψa(Ωa2+a)) (0)(1,1,1)(2,2,2)(3,3,1)(4,2)
ψ(ψ2(ψ5(Ω7Ω4))) ψ(ψa(Ωa2+Ωa+1)) ψ(ψ3(Ω5×ψ2(ψ5(Ω7Ω4)))) ψ(Ωa+ψa(Ωa2+Ωa+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,2,1)
ψ(ψ2(ψ5(Ω7Ω5))) ψ(ψa(Ωa22)) ψ(ψ3(Ω5Ω3)) ψ(Ωa2) (0)(1,1,1)(2,2,2)(3,3,1)(4,2,2)
ψ(ψ2(ψ5(Ω7×ψ5(Ω7)))) ψ(ψa(ΩΩa2+1)) ψ(ψ3(Ω5×ψ3(Ω5))) ψ(ΩΩa+1) (0)(1,1,1)(2,2,2)(3,3,1)(4,2,2)(5,3,1)
ψ(ψ2(ψ5(Ω7×ψ5(Ω7Ω5)))) ψ(ψa(ΩΩa22)) ψ(ψ3(Ω5×ψ3(Ω5Ω3))) ψ(ΩΩa2) (0)(1,1,1)(2,2,2)(3,3,1)(4,2,2)(5,3,1)(6,4,2)
ψ(ψ2(ψ5(Ω7Ω6))) ψ(ψa(ψa3(Ωa3+1a3)))=ψ(ψa(Φ(1,a2+1))) ψ(ψ3(Ω5Ω4)) ψ(ψa2(Ωa2+1a2))=ψ(Φ(1,a+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)
ψ(ψ2(ψ5(Ω7×(Ω6+1)))) ψ(ψa(ψa3(Ωa3+1×(a3+1)))) ψ(ψ3(Ω5×(Ω4+1))) ψ(ψa2(Ωa2+1×(a2+1))) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(3,3,1)
ψ(ψ2(ψ5(Ω7×Ω62))) ψ(ψa(ψa3(Ωa3+1×a32))) ψ(ψ3(Ω5×Ω42)) ψ(ψa2(Ωa2+1×a22)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(3,3,1)(4,3)
ψ(ψ2(ψ5(Ω7×Ω6ω))) ψ(ψa(ψa3(Ωa3+1×a3ω))) ψ(ψ3(Ω5×Ω4ω)) ψ(ψa2(Ωa2+1×a2ω)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(4)
ψ(ψ2(ψ5(Ω7×Ω62))) ψ(ψa(ψa3(Ωa3+1×a32))) ψ(ψ3(Ω5×Ω42)) ψ(ψa2(Ωa2+1×a22)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(4,3)
ψ(ψ2(ψ5(Ω7×ψ6(Ω7)))) ψ(ψa(ψa3(Ωa3+1×εa3+1))) ψ(ψ3(Ω5×ψ4(Ω5))) ψ(ψa2(Ωa2+1×εa2+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(5,4)
ψ(ψ2(ψ5(Ω7×ψ6(Ω8)))) ψ(ψa(ψa3(Ωa3+1×ψa3+1(Ωa3+2)))) ψ(ψ3(Ω5×ψ4(Ω6))) ψ(ψa2(Ωa2+1×ψa2+1(Ωa2+2))) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(5,4,1)
ψ(ψ2(ψ5(Ω7×ψ6(ψ8(Ω10))))) ψ(ψa(ψa3(Ωa3+1×ψa3+1(Ωa3+3)))) ψ(ψ3(Ω5×ψ4(ψ6(Ω8)))) ψ(ψa2(Ωa2+1×ψa2+1(Ωa2+3))) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(5,4,1)(6,5,1)
ψ(ψ2(ψ5(Ω7×ψ6(ψ8(Ω11))))) ψ(ψa(ψa3(Ωa3+1×ψa3+1(a4)))) ψ(ψ3(Ω5×ψ4(Ω7))) ψ(ψa2(Ωa2+1×ψa2+1(a3))) (0)(1,1,1)(2,2,2)(3,3,1)(4,3)(5,4,1)(6,5,2)
ψ(ψ2(ψ5(Ω72))) ψ(ψa(ψa3(Ωa3+12)))=ψ(ψa(Ia2+1)) ψ(ψ3(Ω52)) ψ(ψa2(Ωa2+12))=ψ(Ia+1) (0)(1,1,1)(2,2,2)(3,3,1)(4,3,1)
ψ(ψ2(ψ5(Ω7ω))) ψ(ψa(ψa3(Ωa3+1ω)))=ψ(ψa(I(ω,a2+1))) ψ(ψ3(Ω5ω)) ψ(ψa2(Ωa2+1ω))=ψ(I(ω,a+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3,1)(5)
ψ(ψ2(ψ5(Ω7Ω6))) ψ(ψa(ψa3(Ωa3+1a3))) ψ(ψ3(Ω5Ω4)) ψ(ψa2(Ωa2+1a2)) (0)(1,1,1)(2,2,2)(3,3,1)(4,3,1)(5,3)
ψ(ψ2(ψ5(Ω7Ω7))) ψ(ψa(ψa3(Ωa3+1Ωa3+1)))=ψ(ψa(Ma2+1)) ψ(ψ3(Ω5Ω7)) ψ(ψa2(Ωa2+1Ωa2+1))=ψ(Ma+1) (0)(1,1,1)(2,2,2)(3,3,1)(4,3,1)(5,3,1)
ψ(ψ2(ψ5(ψ7(Ω8)))) ψ(ψa(ψa3(εΩa3+1+1)))=ψ(ψa(Πω aft a2+1)) ψ(ψ3(ψ5(Ω6))) ψ(ψa2(εΩa2+1+1))=ψ(Πω aft a+1) (0)(1,1,1)(2,2,2)(3,3,1)(4,4)
ψ(ψ2(ψ5(ψ7(Ω9)))) ψ(ψa(ψa3(Ωa3+2))) ψ(ψ3(ψ5(Ω7))) ψ(ψa2(Ωa2+2)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)
ψ(ψ2(ψ5(ψ7(ψ9(Ω10))))) ψ(ψa(ψa3(ψa4(εΩa4+1+1)))) ψ(ψ3(ψ5(ψ7(Ω8)))) ψ(ψa2(ψa3(εΩa3+1+1))) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)(5,5)
ψ(ψ2(ψ5(ψ7(ψ9(Ω11))))) ψ(ψa(ψa3(ψa4(Ωa4+2)))) ψ(ψ3(ψ5(ψ7(Ω9)))) ψ(ψa2(ψa3(Ωa3+2))) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)(5,5,1)
ψ(ψ2(ψ5(ψ7(Ω10)))) ψ(ψa(ψa3(ψa4(a5)))) ψ(ψ3(ψ5(Ω8))) ψ(ψa2(a3)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)
ψ(ψ2(ψ5(ψ7(Ω102)))) ψ(ψa(ψa3(ψa4(a52)))) ψ(ψ3(ψ5(Ω82))) ψ(ψa2(a32)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)(4,4,2)
ψ(ψ2(ψ5(ψ7(Ω10ω)))) ψ(ψa(ψa3(ψa4(a5ω)))) ψ(ψ3(ψ5(Ω8ω))) ψ(ψa2(a3ω)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)(5)
ψ(ψ2(ψ5(ψ7(Ω102)))) ψ(ψa(ψa3(ψa4(a52)))) ψ(ψ3(ψ5(Ω82))) ψ(ψa2(a32)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)(5,4,2)
ψ(ψ2(ψ5(ψ7(ψ10(Ω11))))) ψ(ψa(ψa3(ψa4(εa5+1)))) ψ(ψ3(ψ5(ψ8(Ω9)))) ψ(ψa2(εa3+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)(5,5)
ψ(ψ2(ψ5(ψ7(ψ10(Ω12))))) ψ(ψa(ψa3(ψa4(Ωa5+1)))) ψ(ψ3(ψ5(ψ8(Ω10)))) ψ(ψa2(Ωa3+1)) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)(5,5,1)
ψ(ψ2(ψ5(ψ7(ψ10(ψ12(Ω15)))))) ψ(ψa(ψa3(ψa4(ψa6(a7))))) ψ(ψ3(ψ5(ψ8(ψ10(Ω13))))) ψ(ψa2(ψa4(a5))) (0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)(5,5,1)(6,6,2)
ψ(ψ2(ψ5(Ω8))) ψ(ψa(a3)) ψ(ψ3(Ω6)) ψ(a2) (0)(1,1,1)(2,2,2)(3,3,2)

分析3:(0)(1,1,1)(2,2,2)(3,3,2)~(0)(1,1,1)(2,2,2)(3,3,2)(4,3)

分析3:(0)(1,1,1)(2,2,2)(3,3,2)~(0)(1,1,1)(2,2,2)(3,3,2)(4,3)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(ψ5(Ω8))) ψ(ψa(a3)) ψ(ψ3(Ω6)) ψ(a2) (0)(1,1,1)(2,2,2)(3,3,2)
ψ(ψ2(ψ5(Ω8))+Ω2) ψ(ψa(a3)+Ω2) ψ(ψ3(Ω6)+Ω2) ψ(a2+Ω2) (0)(1,1,1)(2,2,2)(3,3,2)(1,1,1)
ψ(ψ2(ψ5(Ω8))+ψ2(Ω5)) ψ(ψa(a3)+ψa(a2)) ψ(ψ3(Ω6)+ψ2(Ω5)) ψ(a2+ψa(a2)) (0)(1,1,1)(2,2,2)(3,3,2)(1,1,1)(2,2,2)
ψ(ψ2(ψ5(Ω8))×2) ψ(ψa(a3)×2) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8))) ψ(a2+ψa(a3)) (0)(1,1,1)(2,2,2)(3,3,2)(1,1,1)(2,2,2)(3,3,2)
ψ(ψ2(ψ5(Ω8)+1)) ψ(ψa(a3+1)) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+1)) ψ(a2+ψa(a3+1)) (0)(1,1,1)(2,2,2)(3,3,2)(2)
ψ(ψ2(ψ5(Ω8)+ψ2(ψ5(Ω8)))) ψ(ψa(a3+ψa(a3))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ2(ψ5(Ω8)))) ψ(a2+ψa(a3+ψa(a3))) (0)(1,1,1)(2,2,2)(3,3,2)(2,1,1)(3,2,2)(4,3,2)
ψ(ψ2(ψ5(Ω8)+Ω3)) ψ(ψa(a3+a)) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+Ω3)) ψ(a2+ψa(a3+a)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2)
ψ(ψ2(ψ5(Ω8)+ψ3(Ω5))) ψ(ψa(a3+ψa+1(Ωa+2))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ3(Ω5))) ψ(a2+ψa(a3+ψa+1(Ωa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2)(3,3,1)
ψ(ψ2(ψ5(Ω8)+ψ3(ψ5(Ω8)))) ψ(ψa(a3+ψa+1(ψa2(a3)))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ3(Ω6))) ψ(a2+ψa(a3+ψa+1(a2))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2)(3,3,1)(4,4,2)
ψ(ψ2(ψ5(Ω8)+ψ3(ψ5(ψ8(Ω11))))) ψ(ψa(a3+ψa+1(ψa2(a4)))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ3(ψ6(Ω9)))) ψ(a2+ψa(a3+ψa+1(a3))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2)(3,3,1)(4,4,2)(5,5,2)
ψ(ψ2(ψ5(Ω8)+Ω4)) ψ(ψa(a3+Ωa+1)) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+Ω4)) ψ(a2+ψa(a3+Ωa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)
ψ(ψ2(ψ5(Ω8)+ψ4(Ω5))) ψ(ψa(a3+ψa2(εΩa2+1+1))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ4(Ω5))) ψ(a2+ψa(a3+ψa2(εΩa2+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,3)
ψ(ψ2(ψ5(Ω8)+ψ4(Ω6))) ψ(ψa(a3+ψa2(Ωa2+2))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ4(Ω6))) ψ(a2+ψa(a3+ψa2(Ωa2+2))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,3,1)
ψ(ψ2(ψ5(Ω8)+ψ4(Ω7))) ψ(ψa(a3+ψa2(a3))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ4(Ω7))) ψ(a2+ψa(a3+ψa2(a3))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,3,2)
ψ(ψ2(ψ5(Ω8)+ψ4(ψ7(Ω8)))) ψ(ψa(a3+ψa2(εa3+1))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ4(ψ7(Ω8)))) ψ(a2+ψa(a3+ψa2(εa3+1))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,3,2)(4,4)
ψ(ψ2(ψ5(Ω8)+ψ4(ψ7(Ω9)))) ψ(ψa(a3+ψa2(Ωa3+1))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ4(ψ7(Ω9)))) ψ(a2+ψa(a3+ψa2(Ωa3+1))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,3,2)(4,4,1)
ψ(ψ2(ψ5(Ω8)+ψ4(ψ7(Ω10)))) ψ(ψa(a3+ψa2(ψa4(a5)))) ψ(ψ3(Ω6)+ψ2(ψ5(Ω8)+ψ4(ψ7(Ω10)))) ψ(a2+ψa(a3+ψa2(a4))) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,1)(3,3,2)(4,4,2)
ψ(ψ2(ψ5(Ω8)+Ω5)) ψ(ψa(a3+a2)) ψ(ψ3(Ω6)+Ω3) ψ(a2+a) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)
ψ(ψ2(ψ5(Ω8)+Ω5ω)) ψ(ψa(a3+a2ω)) ψ(ψ3(Ω6)+Ω3ω) ψ(a2+aω) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3)
ψ(ψ2(ψ5(Ω8)+Ω52)) ψ(ψa(a3+a22)) ψ(ψ3(Ω6)+Ω32) ψ(a2+a2) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,2,2)
ψ(ψ2(ψ5(Ω8)+ψ5(Ω6))) ψ(ψa(a3+εa2+1)) ψ(ψ3(Ω6)+ψ3(Ω4)) ψ(a2+εa+1) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ6(Ω8)))) ψ(ψa(a3+ψa2+1(Ωa2+2))) ψ(ψ3(Ω6)+ψ3(ψ4(Ω6))) ψ(a2+ψa+1(Ωa+2)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3)(4,4,1)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ6(ψ8(Ω11))))) ψ(ψa(a3+ψa2+1(ψa3(a4)))) ψ(ψ3(Ω6)+ψ3(ψ4(Ω7))) ψ(a2+ψa+1(a2)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ6(ψ8(ψ11(Ω14)))))) ψ(ψa(a3+ψa2+1(ψa3(a5)))) ψ(ψ3(Ω6)+ψ3(ψ4(ψ7(Ω10)))) ψ(a2+ψa+1(a3)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3)(4,4,1)(5,5,2)(6,6,2)
ψ(ψ2(ψ5(Ω8)+ψ5(Ω7))) ψ(ψa(a3+Ωa2+1)) ψ(ψ3(Ω6)+ψ3(Ω5)) ψ(a2+Ωa+1) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ7(Ω8)))) ψ(ψa(a3+ψa3(εΩa3+1+1))) ψ(ψ3(Ω6)+ψ3(ψ5(Ω6))) ψ(a2+ψa2(εΩa2+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4,4)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ7(Ω9)))) ψ(ψa(a3+ψa3(Ωa3+2))) ψ(ψ3(Ω6)+ψ3(ψ5(Ω7))) ψ(a2+ψa2(Ωa2+2)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4,4,1)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ7(Ω10)))) ψ(ψa(a3+ψa3(ψa4(a5)))) ψ(ψ3(Ω6)+ψ3(ψ5(Ω8))) ψ(a2+ψa2(a3)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4,4,2)
ψ(ψ2(ψ5(Ω8)+ψ5(ψ7(ψ10(Ω13))))) ψ(ψa(a3+ψa3(ψa4(a6)))) ψ(ψ3(Ω6)+ψ3(ψ5(ψ8(Ω11)))) ψ(a2+ψa2(a4)) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,1)(4,4,2)(5,5,2)
ψ(ψ2(ψ5(Ω8)×2)) ψ(ψa(a32)) ψ(ψ3(Ω6)×2) ψ(a22) (0)(1,1,1)(2,2,2)(3,3,2)(2,2,2)(3,3,2)
ψ(ψ2(ψ5(Ω8+1))) ψ(ψa(a3ω)) ψ(ψ3(Ω6+1)) ψ(a2ω) (0)(1,1,1)(2,2,2)(3,3,2)(3)
ψ(ψ2(ψ5(Ω8+Ω5))) ψ(ψa(a3a2)) ψ(ψ3(Ω6+Ω3)) ψ(a2a) (0)(1,1,1)(2,2,2)(3,3,2)(3,2,2)
ψ(ψ2(ψ5(Ω8+ψ5(Ω8)))) ψ(ψa(a32)) ψ(ψ3(Ω6+ψ3(Ω6))) ψ(a22) (0)(1,1,1)(2,2,2)(3,3,2)(3,2,2)(4,3,2)
ψ(ψ2(ψ5(Ω8+Ω6))) ψ(ψa(εa3+1)) ψ(ψ3(Ω6+Ω4)) ψ(εa2+1) (0)(1,1,1)(2,2,2)(3,3,2)(3,3)
ψ(ψ2(ψ5(Ω8+ψ6(Ω8)))) ψ(ψa(ψa3+1(Ωa3+2))) ψ(ψ3(Ω6+ψ4(Ω6))) ψ(ψa2+1(Ωa2+2)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3)(4,4,1)
ψ(ψ2(ψ5(Ω8+ψ6(ψ8(Ω11))))) ψ(ψa(ψa3+1(ψa4(a5)))) ψ(ψ3(Ω6+ψ4(Ω7))) ψ(ψa2+1(a3)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(Ω8+ψ6(ψ8(ψ11(Ω14)))))) ψ(ψa(ψa3+1(ψa4(a6)))) ψ(ψ3(Ω6+ψ4(ψ7(Ω10)))) ψ(ψa2+1(a4)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3)(4,4,1)(5,5,2)(6,6,2)
ψ(ψ2(ψ5(Ω8+Ω7))) ψ(ψa(Ωa3+1)) ψ(ψ3(Ω6+Ω5)) ψ(Ωa2+1) (0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)
ψ(ψ2(ψ5(Ω8+ψ7(Ω8)))) ψ(ψa(ψa4(εΩa4+1+1))) ψ(ψ3(Ω6+ψ5(Ω6))) ψ(ψa3(εΩa3+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4,4)
ψ(ψ2(ψ5(Ω8+ψ7(Ω9)))) ψ(ψa(ψa4(Ωa4+2))) ψ(ψ3(Ω6+ψ5(Ω7))) ψ(ψa3(Ωa3+2)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4,4,1)
ψ(ψ2(ψ5(Ω8+ψ7(ψ9(Ω12))))) ψ(ψa(ψa4(ψa5(a6)))) ψ(ψ3(Ω6+ψ5(Ω8))) ψ(ψa3(a4)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4,4,2)
ψ(ψ2(ψ5(Ω8+ψ7(ψ9(ψ12(Ω15)))))) ψ(ψa(ψa4(ψa5(a7)))) ψ(ψ3(Ω6+ψ5(ψ8(Ω11)))) ψ(ψa3(a5)) (0)(1,1,1)(2,2,2)(3,3,2)(3,3,1)(4,4,2)(5,5,2)
ψ(ψ2(ψ5(Ω82))) ψ(ψa(a4)) ψ(ψ3(Ω62)) ψ(a3) (0)(1,1,1)(2,2,2)(3,3,2)(3,3,2)
ψ(ψ2(ψ5(Ω8ω))) ψ(ψa(aω)) ψ(ψ3(Ω6ω)) ψ(aω) (0)(1,1,1)(2,2,2)(3,3,2)(4)
ψ(ψ2(ψ5(Ω8Ω))) ψ(ψa(aΩ)) ψ(ψ3(Ω6Ω)) ψ(aΩ) (0)(1,1,1)(2,2,2)(3,3,2)(4,1)
ψ(ψ2(ψ5(Ω8Ω2))) ψ(ψa(aΩ2)) ψ(ψ3(Ω6Ω2)) ψ(aΩ2) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)
ψ(ψ2(ψ5(Ω8×ψ2(Ω4)))) ψ(ψa(aΩ3)) ψ(ψ3(Ω6×ψ2(Ω4))) ψ(aΩ3) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,1)
ψ(ψ2(ψ5(Ω8×ψ2(Ω4ω)))) ψ(ψa(aΩω)) ψ(ψ3(Ω6×ψ2(Ω4ω))) ψ(aΩω) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,1)(6)
ψ(ψ2(ψ5(Ω8×ψ2(Ω4Ω3)))) ψ(ψa(aψa(Ωa+1a))) ψ(ψ3(Ω6×ψ2(Ω4Ω3))) ψ(aψa(Ωa+1a)) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,1)(6,2)
ψ(ψ2(ψ5(Ω8×ψ2(Ω42)))) ψ(ψa(aψa(Ωa+12))) ψ(ψ3(Ω6×ψ2(Ω42))) ψ(aψa(Ωa+12)) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,1)(6,2,1)
ψ(ψ2(ψ5(Ω8×ψ2(ψ4(Ω5))))) ψ(ψa(aψa(εΩa+1+1))) ψ(ψ3(Ω6×ψ2(ψ4(Ω5)))) ψ(aψa(εΩa+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,1)(6,3)
ψ(ψ2(ψ5(Ω8×ψ2(ψ4(Ω6))))) ψ(ψa(aψa(Ωa+2))) ψ(ψ3(Ω6×ψ2(ψ4(Ω6)))) ψ(aψa(Ωa+2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,1)(6,3,1)
ψ(ψ2(ψ5(Ω8×ψ2(Ω5)))) ψ(ψa(aψa(a2))) ψ(ψ3(Ω6×ψ2(Ω5))) ψ(aψa(a2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,2)
ψ(ψ2(ψ5(Ω8×ψ2(ψ5(Ω8))))) ψ(ψa(aψa(a3))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8)))) ψ(aψa(a3)) (0)(1,1,1)(2,2,2)(3,3,2)(4,1,1)(5,2,2)(6,3,2)
ψ(ψ2(ψ5(Ω8Ω3))) ψ(ψa(aa)) ψ(ψ3(Ω6×ψ2(ψ5(Ω8Ω3)))) ψ(aψa(aa)) (0)(1,1,1)(2,2,2)(3,3,2)(4,2)
ψ(ψ2(ψ5(Ω8×ψ3(Ω5)))) ψ(ψa(aψa+1(Ωa+2))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ3(Ω5))))) ψ(aψa(aψa+1(Ωa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2)(5,3,1)
ψ(ψ2(ψ5(Ω8×ψ3(ψ5(Ω8))))) ψ(ψa(aψa+1(ψa+2(a3)))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ3(Ω6))))) ψ(aψa(aψa+1(a2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2)(5,3,1)(6,4,2)
ψ(ψ2(ψ5(Ω8×ψ3(ψ5(ψ8(Ω11)))))) ψ(ψa(aψa+1(ψa+2(a4)))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ3(ψ6(Ω9)))))) ψ(aψa(aψa+1(a3))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2)(5,3,1)(6,4,2)(7,5,2)
ψ(ψ2(ψ5(Ω8Ω4))) ψ(ψa(aΩa+1)) ψ(ψ3(Ω6×ψ2(ψ5(Ω8Ω4)))) ψ(aψa(aΩa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)
ψ(ψ2(ψ5(Ω8Ω4ω))) ψ(ψa(aΩa+ω)) ψ(ψ3(Ω6×ψ2(ψ5(Ω8Ω4ω)))) ψ(aψa(aΩa+ω)) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5)
ψ(ψ2(ψ5(Ω8Ω4Ω3))) ψ(ψa(aψa2(Ωa2+1a2))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8Ω4Ω3)))) ψ(aψa(aψa2(Ωa2+1a2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5,2)
ψ(ψ2(ψ5(Ω8Ω42))) ψ(ψa(aψa2(Ωa2+12))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8Ω42)))) ψ(aψa(aψa2(Ωa2+12))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5,2,1)
ψ(ψ2(ψ5(Ω8×ψ4(Ω5)))) ψ(ψa(aψa2(εΩa2+1+1))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ4(Ω5))))) ψ(aψa(aψa2(εΩa2+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5,3)
ψ(ψ2(ψ5(Ω8×ψ4(Ω6)))) ψ(ψa(aψa2(Ωa2+2))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ4(Ω6))))) ψ(aψa(aψa2(Ωa2+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5,3,1)
ψ(ψ2(ψ5(Ω8×ψ4(ψ6(Ω9))))) ψ(ψa(aψa2(a3))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ4(Ω7))))) ψ(aψa(aψa2(a3))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5,3,2)
ψ(ψ2(ψ5(Ω8×ψ4(ψ6(ψ9(Ω12)))))) ψ(ψa(aψa2(a4))) ψ(ψ3(Ω6×ψ2(ψ5(Ω8×ψ4(ψ7(Ω10)))))) ψ(aψa(aψa2(a4))) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,1)(5,3,2)(6,4,2)
ψ(ψ2(ψ5(Ω8Ω5))) ψ(ψa(aa2)) ψ(ψ3(Ω6Ω3)) ψ(aa) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)
ψ(ψ2(ψ5(Ω8×(Ω5+1)))) ψ(ψa(aa2+1)) ψ(ψ3(Ω6×(Ω3+1))) ψ(aa+1) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(3,3,2)
ψ(ψ2(ψ5(Ω8×Ω52))) ψ(ψa(aa22)) ψ(ψ3(Ω6×Ω32)) ψ(aa2) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(3,3,2)(4,2,2)
ψ(ψ2(ψ5(Ω8×Ω5ω))) ψ(ψa(aa2ω)) ψ(ψ3(Ω6×Ω3ω)) ψ(aaω) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(4)
ψ(ψ2(ψ5(Ω8×Ω52))) ψ(ψa(aa22)) ψ(ψ3(Ω6×Ω32)) ψ(aa2) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(4,2,2)
ψ(ψ2(ψ5(Ω8×ψ5(Ω6)))) ψ(ψa(aεa2+1)) ψ(ψ3(Ω6×ψ3(Ω4))) ψ(aεa+1) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(5,3)
ψ(ψ2(ψ5(Ω8×ψ5(Ω7)))) ψ(ψa(aΩa2+1)) ψ(ψ3(Ω6×ψ3(Ω5))) ψ(aΩa+1) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(5,3,1)
ψ(ψ2(ψ5(Ω8×ψ5(Ω8)))) ψ(ψa(aa3)) ψ(ψ3(Ω6×ψ3(Ω6))) ψ(aa2) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(5,3,2)
ψ(ψ2(ψ5(Ω8×ψ5(Ω8ω)))) ψ(ψa(aaω)) ψ(ψ3(Ω6×ψ3(Ω6ω))) ψ(aaω) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(5,3,2)(6)
ψ(ψ2(ψ5(Ω8×ψ5(Ω8Ω5)))) ψ(ψa(aaa2)) ψ(ψ3(Ω6×ψ3(Ω6Ω3))) ψ(aaa) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(5,3,2)(6,2,2)
ψ(ψ2(ψ5(Ω8×ψ5(Ω8×ψ5(Ω8))))) ψ(ψa(aaa3)) ψ(ψ3(Ω6×ψ3(Ω6×ψ3(Ω6)))) ψ(aaa2) (0)(1,1,1)(2,2,2)(3,3,2)(4,2,2)(5,3,2)(6,2,2)(7,3,2)
ψ(ψ2(ψ5(Ω8Ω6))) ψ(ψa(aΦ(1,0)))=ψ(ψa(ψσa(aσa+1σa))) ψ(ψ3(Ω6Ω4)) ψ(aΦ(1,0))=ψ(ψσa(aσa+1σa)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)

分析4:(0)(1,1,1)(2,2,2)(3,3,2)(4,3)~(0)(1,1,1)(2,2,2)(3,3,2)(4,4)

分析1:(0)(1,1,1)(2,2,2)~(0)(1,1,1)(2,2,2)(3,3)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(ψ5(Ω8Ω6))) ψ(ψa(ψσa(aσa+1σa))) ψ(ψ3(Ω6Ω4)) ψ(ψσa(aσa+1σa)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)
ψ(ψ2(ψ5(Ω8Ω6)+Ω5)) ψ(ψa(ψσa(aσa+1σa)+a2)) ψ(ψ3(Ω6Ω4)+Ω3) ψ(ψσa(aσa+1σa)+a) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(2,2,2)
ψ(ψ2(ψ5(Ω8Ω6)×2)) ψ(ψa(ψσa(aσa+1σa)×2)) ψ(ψ3(Ω6Ω4)×2) ψ(ψσa(aσa+1σa)×2) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(2,2,2)(3,3,2)(4,3)
ψ(ψ2(ψ5(Ω8Ω6+1))) ψ(ψa(ψσa(aσa+1σa+1))) ψ(ψ3(Ω6Ω4+1)) ψ(ψσa(aσa+1σa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3)
ψ(ψ2(ψ5(Ω8Ω6+Ω5))) ψ(ψa(ψσa(aσa+1σa+a2))) ψ(ψ3(Ω6Ω4+Ω3)) ψ(ψσa(aσa+1σa+a)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,2,2)
ψ(ψ2(ψ5(Ω8Ω6+ψ5(Ω8Ω6)))) ψ(ψa(ψσa(aσa+1σa+ψσa(aσa+1σa)))) ψ(ψ3(Ω6Ω4+ψ3(Ω6Ω4))) ψ(ψσa(aσa+1σa+ψσa(aσa+1σa))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,2,2)(4,3,2)(5,4)
ψ(ψ2(ψ5(Ω8Ω6+Ω6))) ψ(ψa(ψσa(aσa+1σa+σa))) ψ(ψ3(Ω6Ω4+Ω4)) ψ(ψσa(aσa+1σa+σa)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)
ψ(ψ2(ψ5(Ω8Ω6+Ω62))) ψ(ψa(ψσa(aσa+1σa+σa2))) ψ(ψ3(Ω6Ω4+Ω42)) ψ(ψσa(aσa+1σa+σa2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(3,3)
ψ(ψ2(ψ5(Ω8Ω6+Ω6ω))) ψ(ψa(ψσa(aσa+1σa+σaω))) ψ(ψ3(Ω6Ω4+Ω4ω)) ψ(ψσa(aσa+1σa+σaω)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4)
ψ(ψ2(ψ5(Ω8Ω6+Ω6Ω5))) ψ(ψa(ψσa(aσa+1σa+σaa2))) ψ(ψ3(Ω6Ω4+Ω4Ω3)) ψ(ψσa(aσa+1σa+σaa)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,2,2)
ψ(ψ2(ψ5(Ω8Ω6+Ω62))) ψ(ψa(ψσa(aσa+1σa+σa2))) ψ(ψ3(Ω6Ω4+Ω42)) ψ(ψσa(aσa+1σa+σa2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,3)
ψ(ψ2(ψ5(Ω8Ω6+ψ6(Ω7)))) ψ(ψa(ψσa(aσa+1σa+εσa+1))) ψ(ψ3(Ω6Ω4+ψ4(Ω5))) ψ(ψσa(aσa+1σa+εσa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4)
ψ(ψ2(ψ5(Ω8Ω6+ψ6(Ω8)))) ψ(ψa(ψσa(aσa+1σa+ψσa+1(Ωσa+2)))) ψ(ψ3(Ω6Ω4+ψ4(Ω6))) ψ(ψσa(aσa+1σa+ψσa+1(Ωσa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4,1)
ψ(ψ2(ψ5(Ω8Ω6+ψ6(ψ8(Ω11))))) ψ(ψa(ψσa(aσa+1σa+ψσa+1(ψaσa+1(aσa+2))))) ψ(ψ3(Ω6Ω4+ψ4(Ω7))) ψ(ψσa(aσa+1σa+ψσa+1(aσa+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(Ω8Ω6+ψ6(ψ8(ψ11(Ω14Ω12)))))) ψ(ψa(ψσa(aσa+1σa+ψσa+1(ψaσa+1(ψσa2(aσa2+1σa2)))))) ψ(ψ3(Ω6Ω4+ψ4(ψ7(Ω10Ω8)))) ψ(ψσa(aσa+1σa+ψσa+1(ψσa2(aσa2+1σa2)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3)(4,4,1)(5,5,2)(6,6,2)(7,6)
ψ(ψ2(ψ5(Ω8Ω6+Ω7))) ψ(ψa(ψσa(aσa+1σa+Ωσa+1))) ψ(ψ3(Ω6Ω4+Ω5)) ψ(ψσa(aσa+1σa+Ωσa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)
ψ(ψ2(ψ5(Ω8Ω6+ψ7(Ω8)))) ψ(ψa(ψσa(aσa+1σa+εΩσa+1+1))) ψ(ψ3(Ω6Ω4+ψ5(Ω6))) ψ(ψσa(aσa+1σa+εΩσa+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4)
ψ(ψ2(ψ5(Ω8Ω6+ψ7(Ω9)))) ψ(ψa(ψσa(aσa+1σa+Ωσa+2))) ψ(ψ3(Ω6Ω4+ψ5(Ω7))) ψ(ψσa(aσa+1σa+Ωσa+2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4,1)
ψ(ψ2(ψ5(Ω8Ω6+ψ7(Ω10)))) ψ(ψa(ψσa(aσa+1σa+ψaσa+1(aσa+2)))) ψ(ψ3(Ω6Ω4+ψ5(Ω8))) ψ(ψσa(aσa+1σa+ψaσa+1(aσa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4,2)
ψ(ψ2(ψ5(Ω8Ω6+ψ7(ψ10(Ω13Ω11))))) ψ(ψa(ψσa(aσa+1σa+ψaσa+1(ψσa2(aσa2+1σa2))))) ψ(ψ3(Ω6Ω4+ψ5(ψ8(Ω11Ω9)))) ψ(ψσa(aσa+1σa+ψaσa+1(ψσa2(aσa2+1σa2)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,1)(4,4,2)(5,5,2)(6,5)
ψ(ψ2(ψ5(Ω8×(Ω6+1)))) ψ(ψa(ψσa(aσa+1×(σa+1))))=ψ(ψa(aaΦ(1,0)+1)) ψ(ψ3(Ω6×(Ω4+1))) ψ(ψσa(aσa+1×(σa+1)))=ψ(aaΦ(1,0)+1) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,2)
ψ(ψ2(ψ5(Ω8×Ω62))) ψ(ψa(ψσa(aσa+1×σa2)))=ψ(ψa(aΦ(1,1))) ψ(ψ3(Ω6×Ω42)) ψ(ψσa(aσa+1×σa2))=ψ(aΦ(1,1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(3,3,2)(4,3)
ψ(ψ2(ψ5(Ω8×Ω62))) ψ(ψa(ψσa(aσa+1×σa2)))=ψ(ψa(aΦ(2,0))) ψ(ψ3(Ω6×Ω42)) ψ(ψσa(aσa+1×σa2))=ψ(aΦ(2,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(4,3)
ψ(ψ2(ψ5(Ω8×Ω6Ω6))) ψ(ψa(ψσa(aσa+1×σaσa)))=ψ(ψa(aΦ(1,0,0))) ψ(ψ3(Ω6×Ω4Ω4)) ψ(ψσa(aσa+1×σaσa))=ψ(aΦ(1,0,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,3)
ψ(ψ2(ψ5(Ω8×ψ6(Ω7)))) ψ(ψa(ψσa(aσa+1×εσa+1))) ψ(ψ3(Ω6×ψ4(Ω5))) ψ(ψσa(aσa+1×εσa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4)
ψ(ψ2(ψ5(Ω8×ψ6(Ω8)))) ψ(ψa(ψσa(aσa+1×ψσa+1(Ωσa+2)))) ψ(ψ3(Ω6×ψ4(Ω6))) ψ(ψσa(aσa+1×ψσa+1(Ωσa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4,1)
ψ(ψ2(ψ5(Ω8×ψ6(ψ8(Ω11))))) ψ(ψa(ψσa(aσa+1×ψσa+1(ψaσa+1(aσa+2))))) ψ(ψ3(Ω6×ψ4(Ω7))) ψ(ψσa(aσa+1×ψσa+1(aσa+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4,1)(6,5,2)
ψ(ψ2(ψ5(Ω8×ψ6(ψ8(ψ11(Ω14Ω12)))))) ψ(ψa(ψσa(aσa+1×ψσa+1(ψaσa+1(ψσa2(aσa2+1σa2)))))) ψ(ψ3(Ω6×ψ4(ψ7(Ω10Ω8)))) ψ(ψσa(aσa+1×ψσa+1(ψσa2(aσa2+1σa2)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3)(5,4,1)(6,5,2)(7,6,2)(8,6)
ψ(ψ2(ψ5(Ω8Ω7))) ψ(ψa(ψσa(aσa+1Ωσa+1)))=ψ(ψa(aI(1,0))) ψ(ψ3(Ω6Ω5)) ψ(ψσa(aσa+1Ωσa+1))=ψ(aI(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)
ψ(ψ2(ψ5(Ω8×(Ω7+1)))) ψ(ψa(ψσa(aσa+1×(Ωσa+1+1)))) ψ(ψ3(Ω6×(Ω5+1))) ψ(ψσa(aσa+1×(Ωσa+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(3,3,2)
ψ(ψ2(ψ5(Ω8×Ω72))) ψ(ψa(ψσa(aσa+1×Ωσa+12)))=ψ(ψa(aI(1,1))) ψ(ψ3(Ω6×Ω52)) ψ(ψσa(aσa+1×Ωσa+12))=ψ(aI(1,1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(3,3,2)(4,3,1)
ψ(ψ2(ψ5(Ω8×Ω72))) ψ(ψa(ψσa(aσa+1×Ωσa+12)))=ψ(ψa(aI(2,0))) ψ(ψ3(Ω6×Ω52)) ψ(ψσa(aσa+1×Ωσa+12))=ψ(aI(2,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(4,3,1)
ψ(ψ2(ψ5(Ω8×Ω7Ω7))) ψ(ψa(ψσa(aσa+1×Ωσa+1Ωσa+1)))=ψ(ψa(aM(1,0))) ψ(ψ3(Ω6×Ω5Ω5)) ψ(ψσa(aσa+1×Ωσa+1Ωσa+1))=ψ(aM(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,3,1)
ψ(ψ2(ψ5(Ω8×ψ7(Ω8)))) ψ(ψa(ψσa(aσa+1×εΩσa+1+1)))=ψ(ψa(aΠω)) ψ(ψ3(Ω6×ψ5(Ω6))) ψ(ψσa(aσa+1×εΩσa+1+1))=ψ(aΠω) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4)
ψ(ψ2(ψ5(Ω8×ψ7(Ω9)))) ψ(ψa(ψσa(aσa+1×Ωσa+2))) ψ(ψ3(Ω6×ψ5(Ω7))) ψ(ψσa(aσa+1×Ωσa+2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,1)
ψ(ψ2(ψ5(Ω8×ψ7(ψ9(Ω12))))) ψ(ψa(ψσa(aσa+1×ψaσa+1(aσa+2)))) ψ(ψ3(Ω6×ψ5(Ω8))) ψ(ψσa(aσa+1×ψaσa+1(aσa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,2)
ψ(ψ2(ψ5(Ω8×ψ7(ψ9(ψ12(Ω15)))))) ψ(ψa(ψσa(aσa+1×ψaσa+1(aσa+3)))) ψ(ψ3(Ω6×ψ5(ψ8(Ω11)))) ψ(ψσa(aσa+1×ψaσa+1(aσa+3))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,2)(6,5,2)
ψ(ψ2(ψ5(Ω8×ψ7(ψ9(ψ12(Ω15Ω14)))))) ψ(ψa(ψσa(aσa+1×ψaσa+1(ψσa2(aσa2+1Ωσa2+1))))) ψ(ψ3(Ω6×ψ5(ψ8(Ω11Ω10)))) ψ(ψσa(aσa+1×ψaσa+1(ψσa2(aσa2+1Ωσa2+1)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,1)(5,4,2)(6,5,2)(7,5,1)
ψ(ψ2(ψ5(Ω82))) ψ(ψa(ψσa(aσa+12)))=ψ(ψa(a(1,0))) ψ(ψ3(Ω62)) ψ(ψσa(aσa+12))=ψ(a(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)
ψ(ψ2(ψ5(Ω82+Ω8))) ψ(ψa(ψσa(aσa+12+aσa+1)))=ψ(ψa(aa(1,0)+1)) ψ(ψ3(Ω62+Ω6)) ψ(ψσa(aσa+12+aσa+1))=ψ(aa(1,0)+1) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(3,3,2)
ψ(ψ2(ψ5(Ω822))) ψ(ψa(ψσa(aσa+122)))=ψ(ψa(a(1,1))) ψ(ψ3(Ω622)) ψ(ψσa(aσa+122))=ψ(a(1,1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(3,3,2)(4,3,2)
ψ(ψ2(ψ5(Ω82ω))) ψ(ψa(ψσa(aσa+12ω)))=ψ(ψa(a(1,ω))) ψ(ψ3(Ω62ω)) ψ(ψσa(aσa+12ω))=ψ(a(1,ω)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4)
ψ(ψ2(ψ5(Ω82Ω5))) ψ(ψa(ψσa(aσa+12a2)))=ψ(ψa(a(1,a2))) ψ(ψ3(Ω62Ω3)) ψ(ψσa(aσa+12a))=ψ(a(1,a)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,2,2)
ψ(ψ2(ψ5(Ω82Ω6))) ψ(ψa(ψσa(aσa+12σa)))=ψ(ψa(a(1,x)Φ(1,0))) ψ(ψ3(Ω62Ω4)) ψ(ψσa(aσa+12σa))=ψ(a(1,x)Φ(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,3)
ψ(ψ2(ψ5(Ω82Ω7))) ψ(ψa(ψσa(aσa+12Ωσa+1)))=ψ(ψa(a(1,x)I(1,0))) ψ(ψ3(Ω62Ω5)) ψ(ψσa(aσa+12Ωσa+1))=ψ(a(1,x)I(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,3,1)
ψ(ψ2(ψ5(Ω83))) ψ(ψa(ψσa(aσa+13)))=ψ(ψa(a(2,0))) ψ(ψ3(Ω63)) ψ(ψσa(aσa+13))=ψ(a(2,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(4,3,2)
ψ(ψ2(ψ5(Ω8ω))) ψ(ψa(ψσa(aσa+1ω)))=ψ(ψa(a(ω,0))) ψ(ψ3(Ω6ω)) ψ(ψσa(aσa+1ω))=ψ(a(ω,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5)
ψ(ψ2(ψ5(Ω8Ω5))) ψ(ψa(ψσa(aσa+1a2)))=ψ(ψa(a(a2,0))) ψ(ψ3(Ω6Ω3)) ψ(ψσa(aσa+1a))=ψ(a(a,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,2,2)
ψ(ψ2(ψ5(Ω8Ω6))) ψ(ψa(ψσa(aσa+1σa)))=ψ(ψa(a(x,0)Φ(1,0))) ψ(ψ3(Ω6Ω4)) ψ(ψσa(aσa+1σa))=ψ(a(x,0)Φ(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3)
ψ(ψ2(ψ5(Ω8Ω7))) ψ(ψa(ψσa(aσa+1Ωσa+1)))=ψ(ψa(a(x,0)I(1,0))) ψ(ψ3(Ω6Ω5)) ψ(ψσa(aσa+1Ωσa+1))=ψ(a(x,0)I(1,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3,1)
ψ(ψ2(ψ5(Ω8Ω8))) ψ(ψa(ψσa(aσa+1aσa+1)))=ψ(ψa(a(1,0,0))) ψ(ψ3(Ω6Ω6)) ψ(ψσa(aσa+1aσa+1))=ψ(a(1,0,0)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3,2)
ψ(ψ2(ψ5(Ω8Ω8Ω8))) ψ(ψa(ψσa(aσa+1aσa+1aσa+1))) ψ(ψ3(Ω6Ω6Ω6)) ψ(ψσa(aσa+1aσa+1aσa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,3,2)(5,3,2)(6,3,2)
ψ(ψ2(ψ5(ψ8(Ω9)))) ψ(ψa(ψσa(εaσa+1+1))) ψ(ψ3(ψ6(Ω7))) ψ(ψσa(εaσa+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)

分析4:(0)(1,1,1)(2,2,2)(3,3,2)(4,4)~(0)(1,1,1)(2,2,2)(3,3,3)

分析4:(0)(1,1,1)(2,2,2)(3,3,2)(4,4)~(0)(1,1,1)(2,2,2)(3,3,3)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(ψ5(ψ8(Ω9)))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+1)))) ψ(ψ3(ψ6(Ω7))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)
ψ(ψ2(ψ5(ψ8(Ω9+1)))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+1+1)))) ψ(ψ3(ψ6(Ω7+1))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(4)
ψ(ψ2(ψ5(ψ8(Ω92)))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+12)))) ψ(ψ3(ψ6(Ω72))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+12))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(4,4)
ψ(ψ2(ψ5(ψ8(Ω9ω)))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+1ω)))) ψ(ψ3(ψ6(Ω7ω))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+1ω))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5)
ψ(ψ2(ψ5(ψ8(Ω92)))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+12)))) ψ(ψ3(ψ6(Ω72))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+12))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,4)
ψ(ψ2(ψ5(ψ8(ψ9(Ω10))))) ψ(ψa(ψσa(ψaσa+1+1(εΩaσa+1+1+1)))) ψ(ψ3(ψ6(ψ7(Ω8)))) ψ(ψσa(ψaσa+1+1(εΩaσa+1+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5)
ψ(ψ2(ψ5(ψ8(ψ9(Ω11))))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+2)))) ψ(ψ3(ψ6(ψ7(Ω9)))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)
ψ(ψ2(ψ5(ψ8(ψ9(ψ11(Ω13)))))) ψ(ψa(ψσa(ψaσa+1+1(Ωaσa+1+3)))) ψ(ψ3(ψ6(ψ7(ψ9(Ω11))))) ψ(ψσa(ψaσa+1+1(Ωaσa+1+3))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,1)
ψ(ψ2(ψ5(ψ8(ψ9(ψ11(Ω14)))))) ψ(ψa(ψσa(ψaσa+1+1(ψaσa+2(aσa+3))))) ψ(ψ3(ψ6(ψ7(Ω10)))) ψ(ψσa(ψaσa+1+1(aσa+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,2)
ψ(ψ2(ψ5(ψ8(ψ9(ψ11(ψ14(Ω17))))))) ψ(ψa(ψσa(ψaσa+1+1(ψaσa+2(aσa+4))))) ψ(ψ3(ψ6(ψ7(ψ10(Ω13))))) ψ(ψσa(ψaσa+1+1(aσa+3))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,2)(7,7,2)
ψ(ψ2(ψ5(ψ8(ψ9(ψ11(ψ14(ψ17(Ω18)))))))) ψ(ψa(ψσa(ψaσa+1+1(ψaσa+2(ψσa2(εaσa2+1+1)))))) ψ(ψ3(ψ6(ψ7(ψ10(ψ13(Ω14)))))) ψ(ψσa(ψaσa+1+1(ψσa2(εaσa2+1+1)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4)(5,5,1)(6,6,2)(7,7,2)(8,8)
ψ(ψ2(ψ5(ψ8(Ω10)))) ψ(ψa(ψσa(Ωaσa+1+1))) ψ(ψ3(ψ6(Ω8))) ψ(ψσa(Ωaσa+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)
ψ(ψ2(ψ5(ψ8(ψ10(Ω11))))) ψ(ψa(ψσa(εΩaσa+1+1+1))) ψ(ψ3(ψ6(ψ8(Ω9)))) ψ(ψσa(εΩaσa+1+1+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5)
ψ(ψ2(ψ5(ψ8(ψ10(Ω12))))) ψ(ψa(ψσa(Ωaσa+1+2))) ψ(ψ3(ψ6(ψ8(Ω10)))) ψ(ψσa(Ωaσa+1+2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,1)
ψ(ψ2(ψ5(ψ8(ψ10(Ω13))))) ψ(ψa(ψσa(ψaσa+2(aσa+3)))) ψ(ψ3(ψ6(ψ8(Ω11)))) ψ(ψσa(ψaσa+2(aσa+3))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(ψ8(ψ10(ψ13(Ω16)))))) ψ(ψa(ψσa(ψaσa+2(aσa+4)))) ψ(ψ3(ψ6(ψ8(ψ11(Ω14))))) ψ(ψσa(ψaσa+2(aσa+4))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,2)(6,6,2)
ψ(ψ2(ψ5(ψ8(ψ10(ψ13(ψ16(Ω18))))))) ψ(ψa(ψσa(ψaσa+2(ψσa2(Ωaσa2+1+1))))) ψ(ψ3(ψ6(ψ8(ψ11(ψ14(Ω16)))))) ψ(ψσa(ψaσa+2(ψσa2(Ωaσa2+1+1)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)(5,5,2)(6,6,2)(7,7,1)
ψ(ψ2(ψ5(ψ8(Ω11)))) ψ(ψa(ψσa(aσa+2))) ψ(ψ3(ψ6(Ω9))) ψ(ψσa(aσa+2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)
ψ(ψ2(ψ5(ψ8(Ω112)))) ψ(ψa(ψσa(aσa+3))) ψ(ψ3(ψ6(Ω92))) ψ(ψσa(aσa+3)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(4,4,2)
ψ(ψ2(ψ5(ψ8(Ω11ω)))) ψ(ψa(ψσa(aσa+ω))) ψ(ψ3(ψ6(Ω9ω))) ψ(ψσa(aσa+ω)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5)
ψ(ψ2(ψ5(ψ8(Ω11Ω5)))) ψ(ψa(ψσa(aσa+a2))) ψ(ψ3(ψ6(Ω9Ω3))) ψ(ψσa(aσa+a)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,2,2)
ψ(ψ2(ψ5(ψ8(Ω11Ω6)))) ψ(ψa(ψσa(aσa2))) ψ(ψ3(ψ6(Ω9Ω4))) ψ(ψσa(aσa2)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,3)
ψ(ψ2(ψ5(ψ8(Ω11Ω7)))) ψ(ψa(ψσa(aΩσa+1))) ψ(ψ3(ψ6(Ω9Ω5))) ψ(ψσa(aΩσa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,3,1)
ψ(ψ2(ψ5(ψ8(Ω11Ω8)))) ψ(ψa(ψσa(aaσa+1))) ψ(ψ3(ψ6(Ω9Ω6))) ψ(ψσa(aaσa+1)) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,3,2)
ψ(ψ2(ψ5(ψ8(Ω11Ω9)))) ψ(ψa(ψσa(ψσa2(aσa2+1σa2)))) ψ(ψ3(ψ6(Ω9Ω7))) ψ(ψσa(ψσa2(aσa2+1σa2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,4)
ψ(ψ2(ψ5(ψ8(Ω11Ω10)))) ψ(ψa(ψσa(ψσa2(aσa2+1Ωσa2+1)))) ψ(ψ3(ψ6(Ω9Ω8))) ψ(ψσa(ψσa2(aσa2+1Ωσa2+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,4,1)
ψ(ψ2(ψ5(ψ8(Ω112)))) ψ(ψa(ψσa(ψσa2(aσa2+12)))) ψ(ψ3(ψ6(Ω92))) ψ(ψσa(ψσa2(aσa2+12))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,4,2)
ψ(ψ2(ψ5(ψ8(ψ11(Ω12))))) ψ(ψa(ψσa(ψσa2(εaσa2+1+1)))) ψ(ψ3(ψ6(ψ9(Ω10)))) ψ(ψσa(ψσa2(εaσa2+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5)
ψ(ψ2(ψ5(ψ8(ψ11(Ω13))))) ψ(ψa(ψσa(ψσa2(Ωaσa2+1+1)))) ψ(ψ3(ψ6(ψ9(Ω11)))) ψ(ψσa(ψσa2(Ωaσa2+1+1))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5,1)
ψ(ψ2(ψ5(ψ8(ψ11(Ω14))))) ψ(ψa(ψσa(ψσa2(aσa2+2)))) ψ(ψ3(ψ6(ψ9(Ω12)))) ψ(ψσa(ψσa2(aσa2+2))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5,2)
ψ(ψ2(ψ5(ψ8(ψ11(ψ14(Ω17)))))) ψ(ψa(ψσa(ψσa2(ψσa3(aσa3+2))))) ψ(ψ3(ψ6(ψ9(ψ12(Ω15))))) ψ(ψσa(ψσa2(ψσa3(aσa3+2)))) (0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)(5,5,2)(6,6,2)
ψ(ψ2(ψ5(Ω9))) ψ(ψa(ψσa(σa2))) ψ(Ω4) ψ(σa) (0)(1,1,1)(2,2,2)(3,3,3)

分析5:(0)(1,1,1)(2,2,2)(3,3,3)~(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)

分析5:(0)(1,1,1)(2,2,2)(3,3,3)~(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(ψ5(Ω9))) ψ(ψa(ψσa(σa2))) ψ(Ω4) ψ(σa) (0)(1,1,1)(2,2,2)(3,3,3)
ψ(ψ2(ψ5(Ω9))+Ω2) ψ(ψa(ψσa(σa2))+Ω2) ψ(Ω4+Ω2) ψ(σa+Ω2) (0)(1,1,1)(2,2,2)(3,3,3)(1,1,1)
ψ(ψ2(ψ5(Ω9))+ψ2(Ω5)) ψ(ψa(ψσa(σa2))+ψa(a2)) ψ(Ω4+ψ2(Ω5)) ψ(σa+ψa(a2)) (0)(1,1,1)(2,2,2)(3,3,3)(1,1,1)(2,2,2)
ψ(ψ2(ψ5(Ω9))×2) ψ(ψa(ψσa(σa2))×2) ψ(Ω4+ψ2(Ω6)) ψ(σa+ψa(σa)) (0)(1,1,1)(2,2,2)(3,3,3)(1,1,1)(2,2,2)(3,3,3)
ψ(ψ2(ψ5(Ω9)+1)) ψ(ψa(ψσa(σa2)+1)) ψ(Ω4+ψ2(Ω6+1)) ψ(σa+ψa(σa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(2)
ψ(ψ2(ψ5(Ω9)+Ω3)) ψ(ψa(ψσa(σa2)+a)) ψ(Ω4+ψ2(Ω6+Ω3)) ψ(σa+ψa(σa+a)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2)
ψ(ψ2(ψ5(Ω9)+Ω4)) ψ(ψa(ψσa(σa2)+Ωa+1)) ψ(Ω4+ψ2(Ω6+Ω4)) ψ(σa+ψa(σa+Ωa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,1)
ψ(ψ2(ψ5(Ω9)+ψ4(Ω7))) ψ(ψa(ψσa(σa2)+ψa2(a3))) ψ(Ω4+ψ2(Ω6+ψ4(Ω7))) ψ(σa+ψa(σa+ψa2(a3))) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,1)(3,3,2)
ψ(ψ2(ψ5(Ω9)+ψ4(ψ7(Ω11)))) ψ(ψa(ψσa(σa2)+ψa2(ψσa(σa2)))) ψ(Ω4+ψ2(Ω6+ψ4(Ω8))) ψ(σa+ψa(σa+ψa2(σa))) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,1)(3,3,2)(4,4,3)
ψ(ψ2(ψ5(Ω9)+Ω5)) ψ(ψa(ψσa(σa2)+a2)) ψ(Ω4+Ω3) ψ(σa+a) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω6))) ψ(ψa(ψσa(σa2)+εa2+1)) ψ(Ω4+ψ3(Ω4)) ψ(σa+εa+1) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω7))) ψ(ψa(ψσa(σa2)+Ωa2+1)) ψ(Ω4+ψ3(Ω5)) ψ(σa+Ωa+1) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,1)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω8))) ψ(ψa(ψσa(σa2)+a3)) ψ(Ω4+ψ3(Ω6)) ψ(σa+a2) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω8ω))) ψ(ψa(ψσa(σa2)+aω)) ψ(Ω4+ψ3(Ω6ω)) ψ(σa+aω) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω8Ω6))) ψ(ψa(ψσa(σa2)+ψσa(aσa+1σa))) ψ(Ω4+ψ3(Ω6Ω4)) ψ(σa+ψσa(aσa+1σa)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,3)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω8Ω7))) ψ(ψa(ψσa(σa2)+ψσa(aσa+1Ωσa+1))) ψ(Ω4+ψ3(Ω6Ω5)) ψ(σa+ψσa(aσa+1Ωσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,3,1)
ψ(ψ2(ψ5(Ω9)+ψ5(Ω82))) ψ(ψa(ψσa(σa2)+ψσa(aσa+12))) ψ(Ω4+ψ3(Ω62)) ψ(σa+ψσa(aσa+12)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,3,2)
ψ(ψ2(ψ5(Ω9)+ψ5(ψ8(Ω9)))) ψ(ψa(ψσa(σa2)+ψσa(εaσa+1+1))) ψ(Ω4+ψ3(ψ6(Ω7))) ψ(σa+ψσa(εaσa+1+1)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4)
ψ(ψ2(ψ5(Ω9)+ψ5(ψ8(Ω10)))) ψ(ψa(ψσa(σa2)+ψσa(Ωaσa+1+1))) ψ(Ω4+ψ3(ψ6(Ω8))) ψ(σa+ψσa(Ωaσa+1+1)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4,1)
ψ(ψ2(ψ5(Ω9)+ψ5(ψ8(Ω11)))) ψ(ψa(ψσa(σa2)+ψσa(aσa+2))) ψ(Ω4+ψ3(ψ6(Ω9))) ψ(σa+ψσa(aσa+2)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4,2)
ψ(ψ2(ψ5(Ω9)×2)) ψ(ψa(ψσa(σa2)×2)) ψ(Ω4+ψ3(Ω7)) ψ(σa+ψσa(σa2)) (0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,3)
ψ(ψ2(ψ5(Ω9+1))) ψ(ψa(ψσa(σa2+1))) ψ(Ω4+ψ3(Ω7+1)) ψ(σa+ψσa(σa2+1)) (0)(1,1,1)(2,2,2)(3,3,3)(3)
ψ(ψ2(ψ5(Ω9+Ω5))) ψ(ψa(ψσa(σa2+a2))) ψ(Ω4+ψ3(Ω7+Ω3)) ψ(σa+ψσa(σa2+a)) (0)(1,1,1)(2,2,2)(3,3,3)(3,2,2)
ψ(ψ2(ψ5(Ω9+ψ5(Ω9)))) ψ(ψa(ψσa(σa2+ψσa(σa2)))) ψ(Ω4+ψ3(Ω7+ψ3(Ω7))) ψ(σa+ψσa(σa2+ψσa(σa2))) (0)(1,1,1)(2,2,2)(3,3,3)(3,2,2)(4,3,3)
ψ(ψ2(ψ5(Ω9+Ω6))) ψ(ψa(ψσa(σa2+σa))) ψ(Ω4+ψ3(Ω7+Ω4)) ψ(σa+ψσa(σa2+σa)) (0)(1,1,1)(2,2,2)(3,3,3)(3,3)
ψ(ψ2(ψ5(Ω9+Ω7))) ψ(ψa(ψσa(σa2+Ωσa+1))) ψ(Ω4+ψ3(Ω7+Ω5)) ψ(σa+ψσa(σa2+Ωσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(3,3,1)
ψ(ψ2(ψ5(Ω9+Ω8))) ψ(ψa(ψσa(σa2+aσa+1))) ψ(Ω4+ψ3(Ω7+Ω6)) ψ(σa+ψσa(σa2+aσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)
ψ(ψ2(ψ5(Ω9+ψ8(Ω11)))) ψ(ψa(ψσa(σa2+aσa+2))) ψ(Ω4+ψ3(Ω7+ψ6(Ω9))) ψ(σa+ψσa(σa2+aσa+2)) (0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)(4,4,2)
ψ(ψ2(ψ5(Ω9+ψ8(Ω12)))) ψ(ψa(ψσa(σa2+ψσa2(σa3)))) ψ(Ω4+ψ3(Ω7+ψ6(Ω10))) ψ(σa+ψσa(σa2+ψσa2(σa3))) (0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)(4,4,3)
ψ(ψ2(ψ5(Ω92))) ψ(ψa(ψσa(σa22))) ψ(Ω42) ψ(σa2) (0)(1,1,1)(2,2,2)(3,3,3)(3,3,3)
ψ(ψ2(ψ5(Ω9ω))) ψ(ψa(ψσa(σa2ω))) ψ(Ω4ω) ψ(σaω) (0)(1,1,1)(2,2,2)(3,3,3)(4)
ψ(ψ2(ψ5(Ω9Ω))) ψ(ψa(ψσa(σa2Ω))) ψ(Ω4Ω) ψ(σaΩ) (0)(1,1,1)(2,2,2)(3,3,3)(4,1)
ψ(ψ2(ψ5(Ω9Ω2))) ψ(ψa(ψσa(σa2Ω2))) ψ(Ω4Ω2) ψ(σaΩ2) (0)(1,1,1)(2,2,2)(3,3,3)(4,1,1)
ψ(ψ2(ψ5(Ω9×ψ2(ψ5(Ω9))))) ψ(ψa(ψσa(σa2×ψa(ψσa(σa2))))) ψ(Ω4×ψ2(Ω6)) ψ(σa×ψa(σa)) (0)(1,1,1)(2,2,2)(3,3,3)(4,1,1)(5,2,2)(6,3,3)
ψ(ψ2(ψ5(Ω9Ω3))) ψ(ψa(ψσa(σa2a))) ψ(Ω4×ψ2(Ω6Ω3)) ψ(σa×ψa(σaa)) (0)(1,1,1)(2,2,2)(3,3,3)(4,2)
ψ(ψ2(ψ5(Ω9Ω4))) ψ(ψa(ψσa(σa2Ωa+1))) ψ(Ω4×ψ2(Ω6Ω4)) ψ(σa×ψa(σaΩa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,2,1)
ψ(ψ2(ψ5(Ω9Ω5))) ψ(ψa(ψσa(σa2a2))) ψ(Ω4Ω3) ψ(σaa) (0)(1,1,1)(2,2,2)(3,3,3)(4,2,2)
ψ(ψ2(ψ5(Ω9×ψ5(Ω9)))) ψ(ψa(ψσa(σa2×ψσa(σa2)))) ψ(Ω4×ψ3(Ω7)) ψ(σa×ψσa(σa2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,2,2)(5,3,3)
ψ(ψ2(ψ5(Ω9Ω6))) ψ(ψa(ψσa(σa2σa))) ψ(Ω4×ψ3(Ω7Ω4)) ψ(σa×ψσa(σa2σa)) (0)(1,1,1)(2,2,2)(3,3,3)(4,3)
ψ(ψ2(ψ5(Ω9Ω7))) ψ(ψa(ψσa(σa2Ωσa+1))) ψ(Ω4×ψ3(Ω7Ω5)) ψ(σa×ψσa(σa2Ωσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,3,1)
ψ(ψ2(ψ5(Ω9Ω8))) ψ(ψa(ψσa(σa2aσa+1))) ψ(Ω4×ψ3(Ω7Ω6)) ψ(σa×ψσa(σa2aσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,3,2)
ψ(ψ2(ψ5(Ω92))) ψ(ψa(ψσa(σa22))) ψ(Ω42) ψ(σa2) (0)(1,1,1)(2,2,2)(3,3,3)(4,3,3)
ψ(ψ2(ψ5(Ω9Ω9))) ψ(ψa(ψσa(σa2σa2))) ψ(Ω4Ω4) ψ(σaσa) (0)(1,1,1)(2,2,2)(3,3,3)(4,3,3)(5,3,3)
ψ(ψ2(ψ5(ψ9(Ω10)))) ψ(ψa(ψσa(εσa2+1))) ψ(ψ4(Ω5)) ψ(εσa+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4)
ψ(ψ2(ψ5(ψ9(ψ10(Ω12))))) ψ(ψa(ψσa(ψσa2+1(Ωσa2+2)))) ψ(ψ4(ψ5(Ω7))) ψ(ψσa+1(Ωσa+2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4)(5,5,1)
ψ(ψ2(ψ5(ψ9(ψ10(ψ12(Ω15)))))) ψ(ψa(ψσa(ψσa2+1(ψaσa2+1(aσa2+2))))) ψ(ψ4(ψ5(Ω8))) ψ(ψσa+1(aσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4)(5,5,1)(6,6,2)
ψ(ψ2(ψ5(ψ9(ψ10(ψ12(ψ15(Ω18))))))) ψ(ψa(ψσa(ψσa2+1(ψaσa2+1(ψσa3(σa4)))))) ψ(ψ4(ψ5(Ω9))) ψ(ψσa+1(σa2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4)(5,5,1)(6,6,2)(7,7,3)
ψ(ψ2(ψ5(ψ9(Ω11)))) ψ(ψa(ψσa(Ωσa2+1))) ψ(ψ4(Ω6)) ψ(Ωσa+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)
ψ(ψ2(ψ5(ψ9(ψ11(Ω14))))) ψ(ψa(ψσa(ψaσa2+1(aσa2+2)))) ψ(ψ4(ψ6(Ω9))) ψ(ψaσa+1(aσa+2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)(5,5,2)
ψ(ψ2(ψ5(ψ9(ψ11(ψ14(Ω18)))))) ψ(ψa(ψσa(ψaσa2+1(ψσa3(σa4))))) ψ(ψ4(ψ6(Ω10))) ψ(ψaσa+1(σa2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)(5,5,2)(6,6,3)
ψ(ψ2(ψ5(ψ9(Ω12)))) ψ(ψa(ψσa(aσa2+1))) ψ(ψ4(Ω7)) ψ(aσa+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)
ψ(ψ2(ψ5(ψ9(ψ12(Ω15))))) ψ(ψa(ψσa(aσa2+2))) ψ(ψ4(ψ7(Ω10))) ψ(aσa+2) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)(5,5,2)
ψ(ψ2(ψ5(ψ9(ψ12(Ω16))))) ψ(ψa(ψσa(ψσa2(σa3)))) ψ(ψ4(ψ7(Ω11))) ψ(ψσa2(σa3)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)(5,5,3)
ψ(ψ2(ψ5(ψ9(Ω13)))) ψ(ψa(ψσa(σa3))) ψ(ψ4(Ω8)) ψ(σa2) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)
ψ(ψ2(ψ5(ψ9(Ω132)))) ψ(ψa(ψσa(σa4))) ψ(ψ4(Ω82)) ψ(σa3) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(4,4,3)
ψ(ψ2(ψ5(ψ9(Ω13ω)))) ψ(ψa(ψσa(σaω))) ψ(ψ4(Ω8ω)) ψ(σaω) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5)
ψ(ψ2(ψ5(ψ9(Ω13Ω)))) ψ(ψa(ψσa(σaΩ))) ψ(ψ4(Ω8Ω)) ψ(σaΩ) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,1)
ψ(ψ2(ψ5(ψ9(Ω13Ω2)))) ψ(ψa(ψσa(σaΩ2))) ψ(ψ4(Ω8Ω2)) ψ(σaΩ2) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,1,1)
ψ(ψ2(ψ5(ψ9(Ω13×ψ2(ψ5(Ω9)))))) ψ(ψa(ψσa(σaψa(ψσa(σa2))))) ψ(ψ4(Ω8×ψ2(Ω6))) ψ(σaψa(σa)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,1,1)(6,2,2)(7,3,3)
ψ(ψ2(ψ5(ψ9(Ω13Ω3)))) ψ(ψa(ψσa(σaa))) ψ(ψ4(Ω8×ψ2(ψ6(Ω10Ω3)))) ψ(σaψa(σaa)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2)
ψ(ψ2(ψ5(ψ9(Ω13Ω4)))) ψ(ψa(ψσa(σaΩa+1))) ψ(ψ4(Ω8×ψ2(ψ6(Ω10Ω4)))) ψ(σaψa(σaΩa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2,1)
ψ(ψ2(ψ5(ψ9(Ω13Ω5)))) ψ(ψa(ψσa(σaa2))) ψ(ψ4(Ω8Ω3)) ψ(σaa) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2,2)
ψ(ψ2(ψ5(ψ9(Ω13×ψ5(Ω9))))) ψ(ψa(ψσa(σaψσa(σa2)))) ψ(ψ4(Ω8×ψ3(Ω7))) ψ(σaψσa(σa2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,2,2)(6,3,3)
ψ(ψ2(ψ5(ψ9(Ω13Ω6)))) ψ(ψa(ψσa(σaσa))) ψ(ψ4(Ω8×ψ3(Ω7Ω4))) ψ(σaψσa(σaσa)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,3)
ψ(ψ2(ψ5(ψ9(Ω13Ω7)))) ψ(ψa(ψσa(σaΩσa+1))) ψ(ψ4(Ω8×ψ3(Ω7Ω5))) ψ(σaψσa(σaΩσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,3,1)
ψ(ψ2(ψ5(ψ9(Ω13Ω8)))) ψ(ψa(ψσa(σaaσa+1))) ψ(ψ4(Ω8×ψ3(Ω7Ω6))) ψ(σaψσa(σaaσa+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,3,2)
ψ(ψ2(ψ5(ψ9(Ω13Ω9)))) ψ(ψa(ψσa(σaσa2))) ψ(ψ4(Ω8Ω4)) ψ(σaσa) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,3,3)
ψ(ψ2(ψ5(ψ9(Ω13Ω10)))) ψ(ψa(ψσa(ψσ2a(σaσ2a+1σ2a)))) ψ(ψ4(Ω8Ω5)) ψ(ψσ2a(σaσ2a+1σ2a)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4)
ψ(ψ2(ψ5(ψ9(Ω13Ω11)))) ψ(ψa(ψσa(ψσ2a(σaσ2a+1Ωσ2a+1)))) ψ(ψ4(Ω8Ω6)) ψ(ψσ2a(σaσ2a+1Ωσ2a+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4,1)
ψ(ψ2(ψ5(ψ9(Ω13Ω12)))) ψ(ψa(ψσa(ψσ2a(σaσ2a+1aσ2a+1)))) ψ(ψ4(Ω8Ω7)) ψ(ψσ2a(σaσ2a+1aσ2a+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4,2)
ψ(ψ2(ψ5(ψ9(Ω132)))) ψ(ψa(ψσa(ψσ2a(σaσ2a+12)))) ψ(ψ4(Ω82)) ψ(ψσ2a(σaσ2a+12)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,4,3)
ψ(ψ2(ψ5(ψ9(ψ13(Ω14))))) ψ(ψa(ψσa(ψσ2a(εσaσ2a+1+1)))) ψ(ψ4(ψ8(Ω9))) ψ(ψσ2a(εσaσ2a+1+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5)
ψ(ψ2(ψ5(ψ9(ψ13(Ω15))))) ψ(ψa(ψσa(ψσ2a(Ωσaσ2a+1+1)))) ψ(ψ4(ψ8(Ω10))) ψ(ψσ2a(Ωσaσ2a+1+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,1)
ψ(ψ2(ψ5(ψ9(ψ13(Ω16))))) ψ(ψa(ψσa(ψσ2a(aσaσ2a+1+1)))) ψ(ψ4(ψ8(Ω11))) ψ(ψσ2a(aσaσ2a+1+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,2)
ψ(ψ2(ψ5(ψ9(ψ13(Ω17))))) ψ(ψa(ψσa(ψσ2a(σaσ2a+2)))) ψ(ψ4(ψ8(Ω12))) ψ(ψσ2a(σaσ2a+2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,3)
ψ(ψ2(ψ5(ψ9(ψ13(ψ17(Ω21)))))) ψ(ψa(ψσa(ψσ2a(ψσ2a2(σaσ2a2+2))))) ψ(ψ4(ψ8(ψ12(Ω16)))) ψ(ψσ2a(ψσ2a2(σaσ2a2+2))) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)(5,5,3)(6,6,3)
ψ(ψ2(ψ5(ψ9(Ω14)))) ψ(ψa(ψσa(ψσ2a(σ2a2)))) ψ(Ω5) ψ(σ2a) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)

分析6:(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)~(0)(1,1,1,1)

分析6:(0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)~(0)(1,1,1,1)
0Yψ 强LPrSS投影 HPrSSψ 弱LPrSS投影 BMS
ψ(ψ2(ψ5(ψ9(Ω14)))) ψ(ψa(ψσa(ψσ2a(σ2a2)))) ψ(Ω5) ψ(σ2a) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)
ψ(ψ2(ψ5(ψ9(Ω142)))) ψ(ψa(ψσa(ψσ2a(σ2a22)))) ψ(Ω52) ψ(σ2a2) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(4,4,4)
ψ(ψ2(ψ5(ψ9(Ω14ω)))) ψ(ψa(ψσa(ψσ2a(σ2a2ω)))) ψ(Ω5ω) ψ(σ2aω) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5)
ψ(ψ2(ψ5(ψ9(Ω142)))) ψ(ψa(ψσa(ψσ2a(σ2a22)))) ψ(Ω52) ψ(σ2a2) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,4,4)
ψ(ψ2(ψ5(ψ9(ψ14(Ω15))))) ψ(ψa(ψσa(ψσ2a(εσ2a2+1)))) ψ(ψ5(Ω6)) ψ(εσ2a+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5)
ψ(ψ2(ψ5(ψ9(ψ14(Ω16))))) ψ(ψa(ψσa(ψσ2a(Ωσ2a2+1)))) ψ(ψ5(Ω7)) ψ(Ωσ2a+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,1)
ψ(ψ2(ψ5(ψ9(ψ14(Ω17))))) ψ(ψa(ψσa(ψσ2a(aσ2a2+1)))) ψ(ψ5(Ω8)) ψ(aσ2a+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,2)
ψ(ψ2(ψ5(ψ9(ψ14(Ω18))))) ψ(ψa(ψσa(ψσ2a(σaσ2a2+1)))) ψ(ψ5(Ω9)) ψ(σaσ2a+1) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,3)
ψ(ψ2(ψ5(ψ9(ψ14(Ω19))))) ψ(ψa(ψσa(ψσ2a(σ2a3)))) ψ(ψ5(Ω10)) ψ(σ2a2) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)
ψ(ψ2(ψ5(ψ9(ψ14(Ω19ω))))) ψ(ψa(ψσa(ψσ2a(σ2aω)))) ψ(ψ5(Ω10ω)) ψ(σ2aω) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6)
ψ(ψ2(ψ5(ψ9(ψ14(Ω19Ω15))))) ψ(ψa(ψσa(ψσ2a(ψσ3a(σ2aσ3a+1σ3a))))) ψ(ψ5(Ω10Ω6)) ψ(ψσ3a(σ2aσ3a+1σ3a)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,5)
ψ(ψ2(ψ5(ψ9(ψ14(Ω192))))) ψ(ψa(ψσa(ψσ2a(ψσ3a(σ2aσ3a+12))))) ψ(ψ5(Ω102)) ψ(ψσ3a(σ2aσ3a+12)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,5,4)
ψ(ψ2(ψ5(ψ9(ψ14(ψ19(Ω20)))))) ψ(ψa(ψσa(ψσ2a(ψσ3a(εσ2aσ3a+1+1))))) ψ(ψ5(ψ10(Ω11))) ψ(ψσ3a(εσ2aσ3a+1+1)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,6)
ψ(ψ2(ψ5(ψ9(ψ14(ψ19(Ω24)))))) ψ(ψa(ψσa(ψσ2a(ψσ3a(σ2aσ3a+2))))) ψ(ψ5(ψ10(Ω15))) ψ(ψσ3a(σ2aσ3a+2)) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,4)(6,6,4)
ψ(ψ2(ψ5(ψ9(ψ14(Ω20))))) ψ(ψa(ψσa(ψσ2a(ψσ3a(σ3a2))))) ψ(Ω6) ψ(σ3a) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,5)
ψ(ψ2(ψ5(ψ9(ψ14(ψ20(Ω27)))))) ψ(ψa(ψσa(ψσ2a(ψσ3a(ψσ4a(σ4a2)))))) ψ(Ω7) ψ(σ4a) (0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,5)(6,6,6)
ψ(Ω3) ψ(a) ψ(Ωω) ψ(σωa)=ψ(ψS(σSω)) (0)(1,1,1,1)

未完待续