HPrSSψ vs LPrSS投影 vs LPrSS反射 分析

上篇：HPrSSψ vs 拓展LPrSSψ分析

分析1：LDO~(0)(1,1,1)(2,2,1)(3,2)(2,2,1)

分析1：LDO~(0)(1,1,1)(2,2,1)(3,2)(2,2,1)

HPrSSψ	LPrSS投影	LPrSS反射	BMS
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a))$	$\psi ({\psi }_I(I))=\psi (\mathrm{\Phi }(1,0))$	(0)(1,1,1)(2,2,1)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+\mathrm{\Omega })$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+\mathrm{\Omega })$	$\psi ({\psi }_I(I)+\mathrm{\Omega })$	(0)(1,1,1)(2,2,1)(3,2)(1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+{\psi }_1({\psi }_3({\mathrm{\Omega }}_5{\mathrm{\Omega }}_4)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+{\psi }_1({\psi }_a({\mathrm{\Omega }}_{a+1}a)))$	$\psi ({\psi }_I(I)+{\psi }_1({\psi }_I(I)))$	(0)(1,1,1)(2,2,1)(3,2)(1,1)(2,2,1)(3,3,1)(4,3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+{\mathrm{\Omega }}_2)$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+{\mathrm{\Omega }}_2)$	$\psi ({\psi }_I(I)+{\mathrm{\Omega }}_2)$	(0)(1,1,1)(2,2,1)(3,2)(1,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+{\psi }_2({\mathrm{\Omega }}_4))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+{\mathrm{\Omega }}_3)$	$\psi ({\psi }_I(I)+{\mathrm{\Omega }}_3)$	(0)(1,1,1)(2,2,1)(3,2)(1,1,1)(2,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+{\psi }_2({\mathrm{\Omega }}_4\omega ))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+{\mathrm{\Omega }}_{\omega })$	$\psi ({\psi }_I(I)+{\mathrm{\Omega }}_{\omega })$	(0)(1,1,1)(2,2,1)(3,2)(1,1,1)(2,2,1)(3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+{\psi }_2({\mathrm{\Omega }}_4\mathrm{\Omega }))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+{\mathrm{\Omega }}_{\mathrm{\Omega }})$	$\psi ({\psi }_I(I)+{\mathrm{\Omega }}_{\mathrm{\Omega }})$	(0)(1,1,1)(2,2,1)(3,2)(1,1,1)(2,2,1)(3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)+{\mathrm{\Omega }}_{{\mathrm{\Omega }}_2})$	$\psi ({\psi }_I(I)+{\mathrm{\Omega }}_{{\mathrm{\Omega }}_2})$	(0)(1,1,1)(2,2,1)(3,2)(1,1,1)(2,2,1)(3,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)\times 2)$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a)\times 2)$	$\psi ({\psi }_I(I)\times 2)$	(0)(1,1,1)(2,2,1)(3,2)(1,1,1)(2,2,1)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+1))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+1))$	$\psi ({\psi }_I(I)\times \omega )$	(0)(1,1,1)(2,2,1)(3,2)(2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+\mathrm{\Omega }))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+\mathrm{\Omega }))$	$\psi ({\psi }_I(I)\times \mathrm{\Omega })$	(0)(1,1,1)(2,2,1)(3,2)(2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\mathrm{\Omega }}_2))$	$\psi ({\psi }_I(I)\times {\mathrm{\Omega }}_2)$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\mathrm{\Omega }}_3))$	$\psi ({\psi }_I(I)\times {\mathrm{\Omega }}_3)$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4\omega )))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\mathrm{\Omega }}_{\omega }))$	$\psi ({\psi }_I(I)\times {\mathrm{\Omega }}_{\omega })$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)(4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4\mathrm{\Omega })))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\mathrm{\Omega }}_{\mathrm{\Omega }}))$	$\psi ({\psi }_I(I)\times {\mathrm{\Omega }}_{\mathrm{\Omega }})$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)(4,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_2)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\mathrm{\Omega }}_{{\mathrm{\Omega }}_2}))$	$\psi ({\psi }_I(I)\times {\mathrm{\Omega }}_{{\mathrm{\Omega }}_2})$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)(4,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_a({\mathrm{\Omega }}_{a+1}a)))$	$\psi ({\psi }_I(I{)}^2)$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)(4,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+1)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_a({\mathrm{\Omega }}_{a+1}a+1)))$	$\psi ({\psi }_I(I{)}^{\omega })$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)(4,2)(3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_a({\mathrm{\Omega }}_{a+1}a))))$	$\psi ({\psi }_I(I{)}^{{\psi }_I(I)})$	(0)(1,1,1)(2,2,1)(3,2)(2,1,1)(3,2,1)(4,2)(3,1,1)(4,2,1)(5,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_3))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1)))=\psi ({\epsilon }_{\mathrm{\Phi }(1,0)+1})$	(0)(1,1,1)(2,2,1)(3,2)(2,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_3+1))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a+1))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1)+1))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_{3}2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a2))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1)\times 2))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(2,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_3\omega ))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a\omega ))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1)\times \omega ))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_3^2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a^2))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1{)}^2))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_3^{\omega }))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a^{\omega }))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1{)}^{\omega }))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,2)(4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+a^a))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+1{)}^{{\psi }_I(I+1)}))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,2)(4,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\mathrm{\Omega }}_4)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+1})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_{{\psi }_I(I+1)}({\psi }_I(I+2))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\mathrm{\Omega }}_5)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+2})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+2)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+3})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+3)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7\omega ))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+\omega })))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+\omega )))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7\mathrm{\Omega }))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+\mathrm{\Omega }})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+\mathrm{\Omega })))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_2))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+{\mathrm{\Omega }}_2})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\mathrm{\Omega }}_2)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7\times {\psi }_2({\mathrm{\Omega }}_4)))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+{\mathrm{\Omega }}_3})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\mathrm{\Omega }}_3)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,1,1)(6,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7\times {\psi }_2({\mathrm{\Omega }}_4\omega )))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+{\mathrm{\Omega }}_{\omega }})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\mathrm{\Omega }}_{\omega })))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,1,1)(6,2,1)(7)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7\times {\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a+{\psi }_a({\mathrm{\Omega }}_{a+1}a)})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\psi }_I(I))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,1,1)(6,2,1)(7,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_3))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{a2})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\psi }_I(I+1))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_4))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+1}})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\psi }_{{\psi }_I(I+1)}({\psi }_I(I+2)))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_5))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+2}})))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I+{\psi }_I(I+2))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_6))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2))))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_I(I2)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_6+{\mathrm{\Omega }}_6))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2+a_2))))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_{{\psi }_I(I2)}({\psi }_I(I2+1))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,4)(4,4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_6+{\psi }_6({\mathrm{\Omega }}_8)))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2+{\psi }_{a_2+1}({\mathrm{\Omega }}_{a_2+2})))))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_{{\psi }_I(I2)}({\psi }_I(I2+2))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,4)(4,4)(5,5,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_6+{\psi }_6({\psi }_8({\mathrm{\Omega }}_{10}{\mathrm{\Omega }}_9))))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}a+{\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2+{\psi }_{a_2+1}({\psi }_{a_3}({\mathrm{\Omega }}_{a_3+1}{a}_3))))))$	$\psi ({\psi }_{{\psi }_I(I)}({\psi }_{{\psi }_I(I2)}({\psi }_I(I3))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,4,1)(5,4)(4,4)(5,5,1)(6,6,1)(7,6)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)))$	$\psi ({\psi }_I(I+1))=\psi ({\mathrm{\Omega }}_{\mathrm{\Phi }(1,0)+1})$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)

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

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

HPrSSψ	LPrSS投影	LPrSS反射	BMS
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)))$	$\psi ({\psi }_I(I+1))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)+1))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)+1))$	$\psi ({\psi }_I(I+1)\times \omega )$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)+{\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)+{\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1))))$	$\psi ({\psi }_I(I+1{)}^2)$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(2,1,1)(3,2,1)(4,2)(3,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)+{\mathrm{\Omega }}_3))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)+a))$	$\psi ({\epsilon }_{{\psi }_I(I+1)+1})$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(2,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_6))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)+{\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2))))$	$\psi ({\psi }_{{\psi }_I(I+1)}({\psi }_I(I2)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(2,2)(3,3,1)(4,4,1)(5,4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)+{\psi }_3({\psi }_5({\mathrm{\Omega }}_7\times ({\mathrm{\Omega }}_6+1)))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)+{\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}\times (a_2+1)))))$	$\psi ({\psi }_{{\psi }_I(I+1)}({\psi }_I(I2+1)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(2,2)(3,3,1)(4,4,1)(5,4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+2)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+2)))$	$\psi ({\psi }_I(I+2))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(2,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+\omega )))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+\omega )))$	$\psi ({\psi }_I(I+\omega ))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+\mathrm{\Omega })))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+\mathrm{\Omega })))$	$\psi ({\psi }_I(I+\mathrm{\Omega }))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+{\mathrm{\Omega }}_2)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+{\mathrm{\Omega }}_2)))$	$\psi ({\psi }_I(I+{\mathrm{\Omega }}_2))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+{\psi }_a({\mathrm{\Omega }}_{a+1}a))))$	$\psi ({\psi }_I(I+{\psi }_I(I)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+1)))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+{\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+1)))))$	$\psi ({\psi }_I(I+{\psi }_I(I+1)))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3))))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+{\psi }_a({\mathrm{\Omega }}_{a+1}\times (a+{\psi }_a({\mathrm{\Omega }}_{a+1}a))))))$	$\psi ({\psi }_I(I+{\psi }_I(I+{\psi }_I(I))))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1)(5,1,1)(6,2,1)(7,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_{3}2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a2))$	$\psi ({\psi }_I(I2))=\psi (\mathrm{\Phi }(1,1))$	(0)(1,1,1)(2,2,1)(3,2)(2,2,1)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3\omega ))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a\omega ))$	$\psi ({\psi }_I(I\omega ))$	(0)(1,1,1)(2,2,1)(3,2)(3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3\mathrm{\Omega }))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a\mathrm{\Omega }))$	$\psi ({\psi }_I(I\mathrm{\Omega }))$	(0)(1,1,1)(2,2,1)(3,2)(3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3{\mathrm{\Omega }}_2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a{\mathrm{\Omega }}_2))$	$\psi ({\psi }_I(I{\mathrm{\Omega }}_2))$	(0)(1,1,1)(2,2,1)(3,2)(3,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a\times {\psi }_a({\mathrm{\Omega }}_{a+1}a)))$	$\psi ({\psi }_I(I\times {\psi }_I(I)))$	(0)(1,1,1)(2,2,1)(3,2)(3,1,1)(4,2,1)(5,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^2))$	$\psi ({\psi }_I(I^2))=\psi (\mathrm{\Phi }(2,0))$	(0)(1,1,1)(2,2,1)(3,2)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3^2+1)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a^2+1)))$	$\psi ({\psi }_I(I^2+1))$	(0)(1,1,1)(2,2,1)(3,2)(3,2)(2,2,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3^2+{\mathrm{\Omega }}_3)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a^2+a)))$	$\psi ({\psi }_I(I^2+I))$	(0)(1,1,1)(2,2,1)(3,2)(3,2)(2,2,1)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3^{2}2)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a^{2}2)))$	$\psi ({\psi }_I(I^{2}2))$	(0)(1,1,1)(2,2,1)(3,2)(3,2)(2,2,1)(3,2)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times ({\mathrm{\Omega }}_3^2\omega )))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times (a^2\omega )))$	$\psi ({\psi }_I(I^2\omega ))$	(0)(1,1,1)(2,2,1)(3,2)(3,2)(3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^3))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^3))$	$\psi ({\psi }_I(I^3))$	(0)(1,1,1)(2,2,1)(3,2)(3,2)(3,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{\omega }))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^{\omega }))$	$\psi ({\psi }_I(I^{\omega }))$	(0)(1,1,1)(2,2,1)(3,2)(4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{\mathrm{\Omega }}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^{\mathrm{\Omega }}))$	$\psi ({\psi }_I(I^{\mathrm{\Omega }}))$	(0)(1,1,1)(2,2,1)(3,2)(4,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_2}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^{{\mathrm{\Omega }}_2}))$	$\psi ({\psi }_I(I^{{\mathrm{\Omega }}_2}))$	(0)(1,1,1)(2,2,1)(3,2)(4,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{{\psi }_2({\mathrm{\Omega }}_4{\mathrm{\Omega }}_3)}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^{{\psi }_a({\mathrm{\Omega }}_{a+1}a)}))$	$\psi ({\psi }_I(I^{{\psi }_I(I)}))$	(0)(1,1,1)(2,2,1)(3,2)(4,1,1)(5,2,1)(6,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^a))$	$\psi ({\psi }_I(I^I))=\psi (\mathrm{\Phi }(1,0,0))$	(0)(1,1,1)(2,2,1)(3,2)(4,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3^{\omega }}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^{a^{\omega }}))$	$\psi ({\psi }_I(I^{I^{\omega }}))$	(0)(1,1,1)(2,2,1)(3,2)(4,2)(5)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3}}))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times a^{a^a}))$	$\psi ({\psi }_I(I^{I^I}))$	(0)(1,1,1)(2,2,1)(3,2)(4,2)(5,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\mathrm{\Omega }}_4)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a+1})))=\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\epsilon }_{a+1}))$	$\psi ({\psi }_I({\psi }_{I+1}({\mathrm{\Omega }}_{I+1})))=\psi ({\psi }_I({\epsilon }_{I+1}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\mathrm{\Omega }}_5)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a+2})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{I+1}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a+3})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{I+2}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7\omega ))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a+\omega })))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{I+\omega }))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7\mathrm{\Omega }))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a+\mathrm{\Omega }})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{I+\mathrm{\Omega }}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_2))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a+{\mathrm{\Omega }}_2})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{I+{\mathrm{\Omega }}_2}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,1,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_3))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{a2})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{I2}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,2)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_4))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+1}})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{I+1}}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,3)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_5))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+2}})))$	$\psi ({\psi }_I({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{I+2}}))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,3,1)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7{\mathrm{\Omega }}_6))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2))))$	$\psi ({\psi }_I({\psi }_{I_2}(I_2)))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,4)
$\psi ({\psi }_2({\mathrm{\Omega }}_4\times {\psi }_3({\psi }_5({\mathrm{\Omega }}_7\times {\psi }_6({\psi }_8({\mathrm{\Omega }}_{10}{\mathrm{\Omega }}_9))))))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}\times {\psi }_{a+1}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}\times {\psi }_{a_2+1}({\psi }_{a_3}({\mathrm{\Omega }}_{a_3+1}{a}_3))))))$	$\psi ({\psi }_I({\psi }_{I_2}({\psi }_{I_3}(I_3))))$	(0)(1,1,1)(2,2,1)(3,2)(4,3,1)(5,4,1)(6,4)(7,5,1)(8,6,1)(9,6)
$\psi ({\psi }_2({\mathrm{\Omega }}_4^2))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+1}^2))$	$\psi (I)$	(0)(1,1,1)(2,2,1)(3,2,1)

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