strong fffz分析Part3

${\psi }_Z[{\omega }^3]({\psi }_Z(\omega ))=(0)(1,1,1)(2,2)$

${\psi }_Z[{\omega }^3]({\psi }_Z(\omega )+{\omega }^2)=(0)(1,1,1)(2,2)(1,1,1)$

${\psi }_Z[{\omega }^3]({\psi }_Z(\omega )\times 2)=(0)(1,1,1)(2,2)(1,1,1)(2,2)$

${\psi }_Z[{\omega }^3]({\psi }_Z(\omega +1))=(0)(1,1,1)(2,2)(2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[\omega \times 2](\omega \times 2)]({\psi }_Z[\omega \times 2](\omega \times 2))=(0)(1,1,1)(2,2)(2)(3)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2](\omega \times 2))=(0)(1,1,1)(2,2)(2,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[\omega \times 2]({\omega }^2)]({\psi }_Z[\omega \times 2]({\omega }^2))=(0)(1,1,1)(2,2)(2,1)(3)$

${\psi }_Z[{\omega }^3,{\psi }_Z[\omega \times 2]({\omega }^2)]({\psi }_Z[\omega \times 2]({\omega }^{\omega }))=(0)(1,1,1)(2,2)(2,1)(3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[\omega \times 2]({\omega }^2)]({\psi }_Z({\omega }^2))=(0)(1,1,1)(2,2)(2,1)(3,2,1)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2]({\omega }^2))=(0)(1,1,1)(2,2)(2,1,1)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2]({\omega }^3))=(0)(1,1,1)(2,2)(2,1,1)(3)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2]({\omega }^{\omega }))=(0)(1,1,1)(2,2)(2,1,1)(3,1)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(2,1,1)(3,1,1)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2]({\psi }_Z(\omega )))=(0)(1,1,1)(2,2)(2,1,1)(3,2)$

${\psi }_Z[{\omega }^3]({\psi }_Z[\omega \times 2]({\psi }_Z[\omega \times 2]({\omega }^2)))=(0)(1,1,1)(2,2)(2,1,1)(3,2)(3,1,1)$

${\psi }_Z[{\omega }^3]({\psi }_Z(\omega \times 2))=(0)(1,1,1)(2,2)(2,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\omega }^2))=(0)(1,1,1)(2,2)(3)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1,1,1)(2,2)(3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2),{\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2})]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(3,1)(4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2),{\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2})]({\psi }_Z({\omega }^2))=(0)(1,1,1)(2,2)(3,1)(4,2,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(3,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2+\omega }))=(0)(1,1,1)(2,2)(3,1,1)(3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2\times 2}))=(0)(1,1,1)(2,2)(3,1,1)(3,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^3}))=(0)(1,1,1)(2,2)(3,1,1)(4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,1,1)(4,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1,1,1)(2,2)(3,1,1)(4,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z(\omega )))=(0)(1,1,1)(2,2)(3,1,1)(4,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z(\omega +1)))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[\omega \times 2](\omega \times 2)))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(4,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2),{\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[\omega \times 2]({\omega }^2))]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[\omega \times 2]({\omega }^2)))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(4,1)(5)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[\omega \times 2]({\omega }^2)))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(4,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z(\omega \times 2)))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(4,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[{\omega }^2]({\omega }^2)))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(5)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{\omega })))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(5,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\psi }_Z[{\omega }^2,{\omega }^{\omega }]({\omega }^{{\omega }^2})))=(0)(1,1,1)(2,2)(3,1,1)(4,2)(5,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\omega }^{\omega }))=(0)(1,1,1)(2,2)(3,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\omega }^{\omega \times 2}))=(0)(1,1,1)(2,2)(3,2)(3,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(3,2)(4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2,{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,2)(4,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,2)(4,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\psi }_Z(\omega )))=(0)(1,1,1)(2,2)(3,3)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z({\omega }^2))=(0)(1,1,1)(2,2)(3,3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^3))=(0)(1,1,1)(2,2)(3,3,1)(4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1,1,1)(2,2)(3,3,1)(4,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{\omega }]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(3,3,1)(4,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{\omega }]({\psi }_Z(\omega )))=(0)(1,1,1)(2,2)(3,3,1)(4,1,1)(5,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{\omega }]({\psi }_Z({\omega }^2)))=(0)(1,1,1)(2,2)(3,3,1)(4,1,1)(5,2)(6,3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{\omega }))=(0)(1,1,1)(2,2)(3,3,1)(4,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{\omega \times 2}))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(4,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2}]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2},{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2},{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2}]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2}]({\psi }_Z({\omega }^2)))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5,3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2}]({\psi }_Z[{\omega }^3]({\omega }^3)))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5,3,1)(6)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2}]({\psi }_Z[{\omega }^3]({\omega }^{\omega })))=(0)(1,1,1)(2,2)(3,3,1)(4,2)(5,3,1)(6,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^2}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^2}+{\omega }^2))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(3,3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^2+1}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2+\omega }]({\omega }^{{\omega }^2+\omega }))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2+\omega }]({\omega }^{{\omega }^2\times 2}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^2+\omega }))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2\times 2}]({\omega }^{{\omega }^2\times 2}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4,2)(5)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^2\times 2}]({\psi }_Z({\omega }^2)))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4,2)(5,3,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^2\times 2}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(4,3)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^3}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2),{\psi }_Z[{\omega }^3,{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{{\omega }^2}})]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,1)(6)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\omega }^{{\omega }^{\omega }}]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,1,1)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^{\omega }}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,2)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,3)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3]({\psi }_Z(\omega )))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,4)$

${\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^3,{\psi }_Z[{\omega }^2]({\omega }^2)]({\psi }_Z[{\omega }^2]({\omega }^2)))=(0)(1,1,1)(2,2)(3,3,1)(4,3)(5,4)(6)$