A table
environment should never be enclosed in a center
environment.
There is also no need to enclose a tabular
in a table
environment: this denotes a floating object, which LaTeX is allowed to place differently than where typed in order to accomodate it and don't ruin the typesetting.
You have a rather big object, which can be treated in various ways.
The codes below are typeset with the common preamble
\documentclass[a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage[spanish,es-noquoting,es-nodecimaldot]{babel}
\usepackage{amsmath}
First case: the typesetting poses no real problem in pagination.
Just use a display.
\section{No typesetting problems}
Para encontrar $\gamma\gamma'$ tenemos que hacer una larga computación.
Multiplicando cada término de $\gamma'$ por cada término de $\gamma$,
obtenemos la suma de $\zeta$ elevado a cada una de las potencias que
aparecen en la siguiente tabla
\[
\begin{matrix}
4 & 6 & 7 & 8 & -2 & -4 & -5 & -6 \\
5 & 7 & 8 & 9 & -1 & -3 & -4 & -5 \\
7 & 9 & 10 & 11 & 1 & -1 & -2 & -3 \\
11 & 13 & 14 & 15 & 5 & 3 & 2 & 1 \\
2 & 4 & 5 & 6 & -4 & -6 & -7 & -8 \\
1 & 3 & 4 & 5 & -5 & -7 & -8 & -9 \\
-1 & 1 & 2 & 3 & -7 & -9 & -10 & -11 \\
-5 & -3 & -2 & -1 & -11 & -13 & -14 & -15
\end{matrix}
\]

Second case: the table doesn't really fit
You can use a display in a table
environment, but also the wording needs to be changed, because you don't know where the table will actually be printed.
\section{Typesetting problems}
Para encontrar $\gamma\gamma'$ tenemos que hacer una larga computación.
Multiplicando cada término de $\gamma'$ por cada término de $\gamma$,
obtenemos la suma de $\zeta$ elevado a cada una de las potencias que
aparecen en el cuadro~\ref{exponents}.
\begin{table}[htp]
\caption{Tabla de potencias}\label{exponents}
\[
\begin{matrix}
4 & 6 & 7 & 8 & -2 & -4 & -5 & -6 \\
5 & 7 & 8 & 9 & -1 & -3 & -4 & -5 \\
7 & 9 & 10 & 11 & 1 & -1 & -2 & -3 \\
11 & 13 & 14 & 15 & 5 & 3 & 2 & 1 \\
2 & 4 & 5 & 6 & -4 & -6 & -7 & -8 \\
1 & 3 & 4 & 5 & -5 & -7 & -8 & -9 \\
-1 & 1 & 2 & 3 & -7 & -9 & -10 & -11 \\
-5 & -3 & -2 & -1 & -11 & -13 & -14 & -15
\end{matrix}
\]
\end{table}
In the picture it happens to be at the spot, in your real document it may not.

center
environment, and instead use\centering
after\begin{table}