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In this paper we apply the REFORM method for the deduction of the system of canonical equationsK  66   -   K  69${K_{66}-K_{69}}$    for normalized spectral functions of the matricesA  ⁢  U  ⁢  B  ⁢   U  *${AUBU^{*}}$   , where  A  and  B  are unitary nonrandom matrices and  U  is a random unitary matrix.

The canonical equations K 66 , K 67 , K 68 and K 69