Let $s = \left\{ z \in C : 4 z ^ { 2 } + \bar { z } = 0 \right\}$ Then $16 \sum _ { z \in s } | z | ^ { 2 }$ is equal to

let $\mathrm { z } = ( 1 + i ) ( 1 + 2 i ) ( 1 + 3 i )$ and $( 1 + \mathrm { n } i )$, where $i = \sqrt { - 1 }$ if If $| z | ^ { 2 } = 44200$, then $n$ is equal to:

Let $z$ be a complex number and
$$z \cdot | \operatorname { Re } ( z ) | = - 4 + 3 i$$
Accordingly, what is $| \mathbf { z } |$?
A) $\frac { 5 } { 2 }$
B) $\frac { 7 } { 2 }$
C) $\frac { 9 } { 2 }$
D) $\frac { 8 } { 3 }$
E) $\frac { 10 } { 3 }$