  In this paper we study properties of some sums of members of the sequence
$\{Z[t_\nu(\tau)]\}$. Our results are expressed in statements proving essential
influence of the Lindel\" of hypothesis on corresponding formulae. In this
paper: the parts 1 -- 6 are English version of our paper \cite{6}, and the part
7 of this work contains current results, namely new set of metamorphosis of the
main multiform from our paper \cite{7}.
