\section{Correlation matrices for the \boldmath{\CP}-averaged observables from the method of moments}
\label{sec:appendix:bootstrap:correlation}

Correlation matrices between the \CP-averaged observables in the different \qsq bins are in Tables~\ref{appendix:moments:correlation:average:1}--\ref{appendix:moments:correlation:average:15} for the moment analysis. 
The correlations are determined by a bootstrapping technique. 


\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $0.10<q^2<0.98\gevgevcccc$. 
\label{appendix:moments:correlation:average:1}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $0.02 $ & $0.00$ & $-0.05 $ &  $0.23 $ & $0.02 $ & $-0.01 $ & $0.05$ \\
$S_{3}$ & & $1.00$ &  $0.04 $ &  $0.09 $ & $-0.01 $ &  $0.01 $ &  $-0.04 $ &  $0.05 $ \\
$S_{4}$ & & & $1.00$ & $-0.24 $ & $-0.05 $ &  $-0.07 $ &  $0.06 $ &  $0.03 $  \\
$S_{5}$ & & & & $1.00$ &  $0.12 $ & $0.00$ & $-0.09 $ &   $-0.02 $ \\
$A_{\rm FB}$ & & & & & $1.00$ &  $0.09 $ & $-0.07 $ &   $-0.04 $  \\ 
$S_{7}$ & & & & & & $1.00$ &  $-0.09$ &  $0.10$  \\ 
$S_{8}$ & & & & & & & $1.00$ & $0.03$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $1.1<q^2<2.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:2}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $-0.02 $ &  $0.06 $ &   $0.16 $ &  $-0.05 $ &  $-0.03 $ &  $-0.04 $ & $0.09 $\\
$S_{3}$ & & $1.00$ & $-0.01 $ &  $0.03 $ &  $0.08 $ & $0.10$ &    $-0.03 $ & $0.08 $\\
$S_{4}$ & & & $1.00$ & $0.00$ &  $-0.03 $ &  $-0.13 $ &  $0.00 $ &  $-0.06 $ \\
$S_{5}$ & & & & $1.00$ &  $-0.07 $ &  $-0.05 $ &  $-0.11 $ & $-0.06 $ \\
$A_{\rm FB}$ & & & & & $1.00$ & $0.04 $ &  $-0.06 $ & $-0.10$ \\
$S_{7}$ & & & & & & $1.00$ & $-0.05 $ & $0.01 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.01$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}




\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $2.0<q^2<3.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:3}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $-0.12 $ &  $-0.14 $ &  $-0.04 $ & $0.11 $ & $-0.18 $ &  $0.04 $ &  $0.01 $\\
$S_{3}$ & & $1.00$ & $-0.09 $ &  $0.06 $ &  $0.04 $ & $0.08 $ &   $-0.04 $ &   $-0.01 $ \\
$S_{4}$ & & & $1.00$ & $-0.08 $ & $0.00$ &  $0.03 $ &   $-0.05 $ &   $-0.06 $\\
$S_{5}$ & & & & $1.00$ &  $-0.10$ & $-0.08 $ &  $0.04 $ &  $-0.08 $\\
$A_{\rm FB}$ & & & & & $1.00$ & $-0.01 $ &  $-0.10$ &  $0.04 $\\
$S_{7}$ & & & & & & $1.00$ & $-0.12 $ &   $0.01 $\\
$S_{8}$ & & & & & & & $1.00$ &  $-0.07 $\\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $3.0<q^2<4.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:4}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $0.10 $ &  $-0.01 $ &  $-0.03 $ & $0.01 $ & $0.01 $ &  $-0.16 $ &  $0.05 $\\
$S_{3}$ & & $1.00$ &  $-0.01 $ &  $-0.04 $ & $0.03 $ & $-0.08 $ &  $-0.04 $ & $-0.11 $ \\
$S_{4}$ & & & $1.00$ &  $0.18 $ &  $0.05 $ & $0.01 $ & $-0.05 $ & $-0.02 $\\
$S_{5}$ & & & & $1.00$ &  $0.00$ &  $-0.01 $ &  $0.02 $ &  $-0.03 $ \\
$A_{\rm FB}$ & & & & & $1.00$ & $0.04 $ & $-0.03 $ & $-0.01 $\\
$S_{7}$ & & & & & & $1.00$ & $0.18 $ &  $-0.08 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.03$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $4.0<q^2<5.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:5}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $-0.01 $ &  $0.03 $ &   $-0.12 $ & $-0.02 $ &  $-0.07 $ &  $0.04 $ &  $0.10$ \\
$S_{3}$ & & $1.00$ & $-0.10$ &   $-0.11 $ & $0.03 $ & $0.08 $ &   $-0.12 $ &  $0.07 $\\
$S_{4}$ & & & $1.00$ & $0.15 $ &  $-0.03 $ &  $-0.07 $ &  $0.21 $ &   $0.04 $\\
$S_{5}$ & & & & $1.00$ & $-0.03 $ &  $0.10$ &    $-0.02 $ &  $-0.09 $\\
$A_{\rm FB}$ & & & & & $1.00$ & $0.11 $ &   $-0.15 $ &  $0.00$ \\
$S_{7}$ & & & & & & $1.00$ & $0.07 $ &   $-0.07 $\\
$S_{8}$ & & & & & & & $1.00$ & $0.0$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $5.0<q^2<6.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:6}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $-0.03 $ &  $-0.06 $ &  $-0.04 $ & $-0.01 $ &  $-0.03 $ &  $-0.09 $ & $-0.02 $ \\
$S_{3}$ &  & $1.00$ & $-0.01 $ &  $-0.06 $ & $-0.11 $ &  $-0.05 $ &  $0.02 $ &  $0.11 $\\
$S_{4}$ & & & $1.00$ &  $0.10$ & $-0.03 $ &  $0.08 $ &   $0.02 $ &  $0.01 $\\
$S_{5}$ & & & & $1.00$ & $-0.08 $ &  $-0.03 $ &  $0.06 $ &  $0.07 $\\
$A_{\rm FB}$ & & & & & $1.00$ &  $0.01$ &   $0.00$ &   $0.00 $\\
$S_{7}$ & & & & & & $1.00$ & $0.07$ &  $-0.09 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.13$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $6.0<q^2<7.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:7}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $0.00$ & $-0.24 $ &  $-0.14 $ & $-0.04 $ &  $0.08 $ &  $0.07 $ & $-0.03 $ \\
$S_{3}$ & & $1.00$ & $-0.09 $ &  $-0.17 $ & $-0.08 $ &  $0.02 $ &  $-0.04 $ &  $-0.02 $\\
$S_{4}$ & & & $1.00$ & $0.13 $ &  $-0.12 $ &  $-0.03 $ &  $-0.01 $ &  $-0.04 $\\
$S_{5}$ & & & & $1.00$ &  $-0.07 $ &  $-0.01 $ &  $-0.01 $ &  $-0.04 $\\
$A_{\rm FB}$ & & & & & $1.00$ & $0.02 $ & $-0.01 $ &  $-0.05 $\\
$S_{7}$ & & & & & & $1.00$ & $0.21$ & $-0.11$  \\
$S_{8}$ & & & & & & & $1.00$ & $-0.06$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}


\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $7.0<q^2<8.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:8}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $0.07 $ & $-0.13 $ &  $-0.22 $ &  $-0.08 $ &  $-0.07 $ &  $-0.01 $ &  $0.09 $ \\
$S_{3}$ & & $1.00$ & $-0.12 $ &  $-0.15 $ &  $0.07 $ & $0.05 $ & $0.02 $ & $-0.01 $  \\
$S_{4}$ & & & $1.00$ &  $0.15 $ & $-0.09 $ &  $-0.05 $ &  $0.06 $ & $0.00$  \\
$S_{5}$ & & & & $1.00$ & $-0.15 $ &  $0.13 $ & $0.00$ &  $0.03 $ \\
$A_{\rm FB}$ & & & & & $1.00$ &  $-0.02 $ &  $-0.16 $ &  $0.04 $ \\
$S_{7}$ & & & & & & $1.00$ & $0.07 $ & $-0.11 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.07$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}




\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $11.00 <q^2<11.75\gevgevcccc$. 
\label{appendix:moments:correlation:average:9}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $0.15 $ & $0.16 $ & $0.03 $ & $-0.34 $ &  $-0.05 $ &  $-0.12 $ &  $-0.01 $ \\
$S_{3}$ & & $1.00$ & $-0.06 $ &  $-0.21 $ &  $-0.06 $ &  $0.04 $ & $0.00$ & $-0.02 $ \\
$S_{4}$ & & & $1.00$ & $0.19 $ & $-0.19 $ &  $-0.11 $ &  $-0.15 $ &  $-0.04 $\\
$S_{5}$ & & & & $1.00$ & $-0.11 $ &  $-0.13 $ &  $-0.10$ & $-0.09 $\\
$A_{\rm FB}$ & & & & & $1.00$ & $0.03 $ & $-0.03 $ &  $-0.04 $ \\
$S_{7}$ & & & & & & $1.00$ & $0.24 $ & $-0.03 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.10$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $11.75 <q^2<12.50\gevgevcccc$. 
\label{appendix:moments:correlation:average:10}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $0.04 $ & $-0.05 $ &  $-0.01 $ &  $-0.17 $ &  $-0.08 $ &  $0.05 $ & $0.00$\\
$S_{3}$ & & $1.00$ &  $-0.13 $ &  $-0.14 $ &  $0.00$ &  $0.02 $ & $0.00$ & $0.05 $  \\
$S_{4}$ & & & $1.00$ &  $0.16 $ & $-0.22 $ &  $0.10$ &  $0.18 $ & $-0.02 $\\
$S_{5}$ & & & & $1.00$ &  $-0.17 $ &  $0.16 $ & $0.08 $ & $-0.10$ \\
$A_{\rm FB}$ & & & & & $1.00$ &  $-0.08 $ &  $-0.12 $ &  $0.07 $ \\
$S_{7}$ & & & & & & $1.00$ & $0.16 $ & $-0.16 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.08$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table} 




\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $15.0 <q^2<16.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:11}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
& $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ & $0.05 $ & $-0.01 $ &  $-0.09 $ &  $-0.34 $ &  $0.01 $ & $0.03 $ & $-0.01 $\\
$S_{3}$ & & $1.00$ & $-0.15 $ &  $-0.29 $ &  $0.06 $ & $-0.03 $ &  $0.02 $ & $-0.09 $\\
$S_{4}$ & & & $1.00$ & $0.33 $ & $-0.06 $ &  $-0.02 $ &  $-0.17 $ &  $-0.01 $ \\
$S_{5}$ & & & & $1.00$ & $-0.10$ & $-0.13 $ &  $-0.02 $ &  $-0.05 $\\
$A_{\rm FB}$ & & & & & $1.00$ & $-0.01 $ &  $-0.03 $ &  $-0.04 $ \\
$S_{7}$ & & & & & & $1.00$ & $0.12 $ & $-0.10$ \\
$S_{8}$ & & & & & & & $1.00$ & $-0.12$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $16.0 <q^2<17.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:12}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $0.16 $ & $-0.02 $ &  $0.01 $ & $-0.33 $ &  $0.16 $ & $0.03 $ & $-0.01 $\\
$S_{3}$ & & $1.00$ & $-0.12 $ &  $-0.13 $ &  $0.04 $ & $0.05 $ & $-0.01 $ &  $-0.03 $\\
$S_{4}$ & & & $1.00$ &  $0.21 $ & $-0.20 $ & $0.08 $ & $-0.02 $ &  $0.06 $ \\
$S_{5}$ & & & & $1.00$ &  $-0.14 $ &  $0.02 $ & $0.07 $ & $0.20 $ \\
$A_{\rm FB}$ & & & & & $1.00$ &  $-0.05 $ &  $0.01 $ & $-0.02 $ \\
$S_{7}$ & & & & & & $1.00$ & $0.15$ & $-0.13$  \\
$S_{8}$ & & & & & & & $1.00$ & $-0.08$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table} 


\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $17.0 <q^2<18.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:13}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $0.06 $ & $-0.08 $ &  $0.05 $ & $-0.21 $ &  $-0.05 $ &  $0.06 $ & $0.00$\\
$S_{3}$ & & $1.00$ &  $-0.12 $ &  $-0.19 $ &  $0.03 $ & $0.09 $ & $0.01 $ & $-0.08 $\\
$S_{4}$ & & & $1.00$ &  $0.14 $ & $-0.07 $ &  $0.05 $ & $-0.12 $ &  $0.00$\\
$S_{5}$ & & & & $1.00$ & $-0.06 $ &  $-0.17 $ &  $0.07 $ & $0.06 $\\
$A_{\rm FB}$ & & & & & $1.00$ & $0.01 $ & $0.03 $ & $0.03 $\\
$S_{7}$ & & & & & & $1.00$ &  $0.11 $ & $-0.20$\\
$S_{8}$ & & & & & & & $1.00$ & $-0.05$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table} 


\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $18.0 <q^2<19.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:14}
}
\centering 
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\ 
\hline
$F_{\rm L}$ & $1.00$ &  $0.20 $ &  $-0.21 $ &  $-0.16 $ &  $-0.21 $ &  $0.01 $ & $0.10$ &  $0.02 $\\
$S_{3}$ & & $1.00$ & $-0.18 $ &  $-0.21 $ &  $-0.03 $ &  $0.00$ & $0.05 $ & $-0.02 $\\
$S_{4}$ & & & $1.00$ & $0.36 $ & $-0.18 $ &  $0.03 $ & $0.00$ &  $0.00$\\
$S_{5}$ & & & & $1.00$ & $-0.24 $ &  $-0.01 $ &  $-0.03 $ &  $0.02 $\\
$A_{\rm FB}$ & & & & & $1.00$ &  $-0.04 $ &  $0.02 $ & $0.05 $ \\
$S_{7}$ & & & & & & $1.00$ & $0.19 $ & $-0.17 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.01$  \\
$S_{9}$ & & & & & & & & $1.00$  \\
\end{tabular}
\end{table} 


       
\begin{table}[!htb]
\caption{
Correlation matrix for the \CP-averaged observables obtained for the method of moments in the bin $15.0 <q^2<19.0\gevgevcccc$. 
\label{appendix:moments:correlation:average:15}
}
\centering                          
\begin{tabular}{l|rrrrrrrr}                         
 & $F_{\rm L}$ & $S_{3}$ & $S_{4}$ & $S_{5}$ & $A_{\rm FB}$ & $S_{7}$ & $S_{8}$ & $S_{9}$ \\            
\hline                              
$F_{\rm L}$ & $1.00$ &  $0.11 $ & $-0.07 $ & $-0.04 $ & $-0.28 $ & $0.04 $ & $0.04 $ & $-0.01 $ \\
$S_{3}$ & & $1.00$ & $-0.15 $ & $-0.21 $ & $0.04 $ & $0.02 $ & $0.01 $ & $-0.06 $ \\
$S_{4}$ & & & $1.00$ &$0.24 $ & $-0.11 $ & $0.04 $ & $-0.07 $ & $0.02 $\\
$S_{5}$ & & & & $1.00$ & $-0.11 $ & $-0.08 $ & $0.03 $ & $0.07 $\\
$A_{\rm FB}$ & & & & & $1.00$ &  $-0.02 $ & $0.00$ & $0.00$ \\
$S_{7}$ & & & & & & $1.00$ &  $0.14 $ & $-0.15 $\\
$S_{8}$ & & & & & & & $1.00$ & $-0.07$  \\                      
$S_{9}$ & & & & & & & & $1.00$  \\                      
\end{tabular} 
\end{table}                 
                  
\clearpage