\section{Correlation matrices for the optimised observables from the method of moments}
\label{sec:appendix:bootstrap:correlation:optimised}

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



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $0.10<q^2<0.98\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:1}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $0.00 $ &       $0.12 $ &       $0.09 $ &       $-0.04 $ &      $-0.23 $ &      $-0.04 $ &      $-0.08 $ \\
$P_1$ &  &        $1.00 $ &        $-0.02 $ &      $-0.05 $ &      $0.04 $ &       $0.08 $ &       $0.01 $ &       $-0.04 $ \\    
$P_2$ &  &  &     $1.00 $ &        $0.06 $ &       $-0.05 $ &      $0.11 $ &       $0.08 $ &       $-0.08 $ \\    
$P_3$ &  &  & &   $1.00 $ &        $-0.04 $ &      $-0.01 $ &      $-0.10 $ &       $-0.03 $ \\    
$P'_4$ & &  & & & $1.00 $ &        $-0.22 $ &      $-0.07 $ &      $0.07 $ \\     
$P'_5$ & & & & & &  $1.00 $ &        $0.01 $ &       $-0.07 $ \\    
$P'_6$ & & & & & & &  $1.00 $ &        $-0.08 $ \\    
$P'_8$ & & & & & & & &      $1.00 $ \\      
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $1.1<q^2<2.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:2}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $0.02 $ &       $-0.09 $ &      $0.03 $ &       $0.21 $ &       $0.44 $ &       $-0.35 $ &      $-0.17 $ \\    
$P_1$ &  &        $1.00 $ &        $-0.17 $ &      $0.03 $ &       $0.01 $ &       $0.08 $ &       $0.04 $ &       $-0.04 $ \\    
$P_2$ &  & &      $1.00 $ &        $-0.31 $ &      $-0.17 $ &      $-0.40 $ &       $0.31 $ &       $0.11 $ \\     
$P_3$ &  & & &     $1.00 $ &        $0.10 $ &        $0.18 $ &       $-0.10 $ &       $-0.04 $ \\    
$P'_4$ & & & & &    $1.00 $ &        $0.16 $ &       $-0.24 $ &      $-0.07 $ \\    
$P'_5$ & & & & & &    $1.00 $ &        $-0.32 $ &      $-0.21 $ \\    
$P'_6$ & & & & & & &      $1.00 $ &        $0.09 $ \\     
$P'_8$ & & & & & & & &    $1.00 $ \\      
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $2.0<q^2<3.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:3}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.09 $ &      $-0.39 $ &      $0.00 $ &       $-0.45 $ &      $0.20 $ &        $-0.40 $ &       $-0.12 $ \\   
$P_1$ & &   $1.00 $ &        $0.11 $ &       $0.01 $ &       $-0.03 $ &      $0.02 $ &       $0.11 $ &       $-0.01 $ \\   
$P_2$ & & &       $1.00 $ &        $-0.03 $ &      $0.35 $ &       $-0.24 $ &      $0.31 $ &       $0.04 $ \\    
$P_3$ & & & &      $1.00 $ &        $0.04 $ &       $0.07 $ &       $-0.01 $ &      $0.06 $ \\    
$P'_4$ & & & & &       $1.00 $ &        $-0.23 $ &      $0.30 $ &        $0.08 $ \\    
$P'_5$ & & & & & &      $1.00 $ &        $-0.23 $ &      $-0.03 $ \\   
$P'_6$ & & & & & & &    $1.00 $ &        $0.00 $ \\     
$P'_8$ & & & & & & & &    $1.00 $ \\     
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $3.0<q^2<4.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:4}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.23 $ &      $0.08 $ &       $-0.33 $ &      $-0.08 $ &      $-0.23 $ &      $0.30 $ &        $0.07 $ \\    
$P_1$ & &       $1.00 $ &        $-0.11 $ &      $0.38 $ &       $-0.01 $ &      $-0.05 $ &      $-0.04 $ &      $-0.03 $ \\   
$P_2$ & & &      $1.00 $ &        $-0.28 $ &      $0.06 $ &       $0.07 $ &       $-0.05 $ &      $-0.05 $ \\   
$P_3$ & & & &      $1.00 $ &        $-0.03 $ &      $-0.11 $ &      $0.18 $ &       $0.04 $ \\    
$P'_4$ & & & & &    $1.00 $ &        $0.18 $ &       $-0.03 $ &      $-0.06 $ \\   
$P'_5$ & & & & & &    $1.00 $ &    $-0.14 $ &      $-0.03 $ \\   
$P'_6$ & & & & & & &      $1.00 $ &        $0.21 $ \\    
$P'_8$ & & & & & & & &  $1.00 $ \\     
\end{tabular}
\end{table}




\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $4.0<q^2<5.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:5}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.34 $ &      $-0.08 $ &      $0.24 $ &       $-0.27 $ &      $-0.55 $ &      $-0.24 $ &      $0.25 $ \\     
$P_1$ & &       $1.00 $ &        $0.31 $ &       $-0.64 $ &      $-0.14 $ &      $-0.24 $ &      $-0.03 $ &      $0.00 $ \\     
$P_2$ & & &       $1.00 $ &        $-0.37 $ &      $-0.13 $ &      $-0.23 $ &      $-0.01 $ &      $-0.01 $ \\    
$P_3$ & & & &      $1.00 $ &        $0.13 $ &       $0.38 $ &       $0.17 $ &       $-0.13 $ \\    
$P'_4$ & & & & &     $1.00 $ &        $0.36 $ &       $0.07 $ &       $0.03 $ \\     
$P'_5$ & & & & & &     $1.00 $ &        $0.28 $ &       $-0.25 $ \\    
$P'_6$ & & & & & & &       $1.00 $ &        $-0.05 $ \\    
$P'_8$ & & & & & & & &   $1.00 $ \\      
\end{tabular}
\end{table}




\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $5.0<q^2<6.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:6}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.28 $ &      $0.14 $ &       $0.19 $ &       $-0.25 $ &      $-0.14 $ &      $0.01 $ &       $-0.13 $ \\ 
$P_1$ & &  $1.00 $ &        $-0.18 $ &      $-0.21 $ &      $0.08 $ &       $0.00 $ &       $-0.04 $ &      $0.06 $ \\  
$P_2$ & & &  $1.00 $ &        $0.13 $ &       $-0.14 $ &      $-0.11 $ &      $0.01 $ &       $-0.04 $ \\ 
$P_3$ & & & &    $1.00 $ &        $-0.11 $ &      $-0.11 $ &      $0.08 $ &       $0.07 $ \\  
$P'_4$ & & & & &    $1.00 $ &        $0.17 $ &       $0.06 $ &       $0.06 $ \\  
$P'_5$ & & & & & &     $1.00 $ &        $-0.04 $ &      $0.07 $ \\  
$P'_6$ & & & & & & &     $1.00 $ &        $0.07 $ \\  
$P'_8$ & & & & & & & &      $1.00 $ \\   
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $6.0<q^2<7.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:7}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.21 $ &      $0.20 $ &        $-0.15 $ &      $-0.41 $ &      $-0.33 $ &      $0.09 $ &       $0.12 $ \\   
$P_1$ & &     $1.00 $ &        $-0.13 $ &      $0.06 $ &       $0.02 $ &       $-0.07 $ &      $0.00 $ &        $-0.07 $ \\  
$P_2$ & & &      $1.00 $ &        $0.00 $ &        $-0.22 $ &      $-0.16 $ &      $0.05 $ &       $0.02 $ \\   
$P_3$ & & & &     $1.00 $ &        $0.12 $ &       $0.10 $ &        $0.09 $ &       $0.04 $ \\   
$P'_4$ & & & & &      $1.00 $ &        $0.25 $ &       $-0.04 $ &      $-0.05 $ \\  
$P'_5$ & & & & & &       $1.00 $ &        $-0.03 $ &      $-0.04 $ \\  
$P'_6$ & & & & & & &     $1.00 $ &        $0.21 $ \\   
$P'_8$ & & & & & & & &      $1.00 $ \\    
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $7.0<q^2<8.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:8}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.08 $ &      $0.58 $ &       $-0.18 $ &      $-0.26 $ &      $-0.41 $ &      $-0.13 $ &      $-0.16 $ \\ 
$P_1$ & &       $1.00 $ &        $-0.01 $ &      $0.03 $ &       $-0.08 $ &      $-0.09 $ &      $0.06 $ &       $0.03 $ \\  
$P_2$ & & &      $1.00 $ &        $-0.19 $ &      $-0.28 $ &      $-0.45 $ &      $-0.12 $ &      $-0.26 $ \\ 
$P_3$ & & & &     $1.00 $ &        $0.05 $ &       $0.06 $ &       $0.12 $ &       $0.11 $ \\  
$P'_4$ & & & & &       $1.00 $ &        $0.26 $ &       $-0.01 $ &      $0.13 $ \\  
$P'_5$ & & & & & &       $1.00 $ &        $0.17 $ &       $0.11 $ \\  
$P'_6$ & & & & & & &       $1.00 $ &        $0.10 $ \\   
$P'_8$ & & & & & & & &        $1.00 $ \\   
\end{tabular}
\end{table}




\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $11.00 <q^2<11.75\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:9}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.32 $ &      $0.60 $ &        $0.17 $ &       $0.15 $ &       $0.02 $ &       $-0.06 $ &      $-0.13 $ \\   
$P_1$ & &       $1.00 $ &        $-0.24 $ &      $-0.05 $ &      $-0.12 $ &      $-0.19 $ &      $0.06 $ &       $0.06 $ \\    
$P_2$ & & &      $1.00 $ &        $0.16 $ &       $-0.03 $ &      $-0.09 $ &      $-0.03 $ &      $-0.14 $ \\   
$P_3$ & & & &       $1.00 $ &        $0.05 $ &       $0.09 $ &       $0.01 $ &       $0.07 $ \\    
$P'_4$ & & & & &      $1.00 $ &        $0.19 $ &       $-0.11 $ &      $-0.14 $ \\   
$P'_5$ & & & & & &        $1.00 $ &        $-0.12 $ &      $-0.10 $ \\    
$P'_6$ & & & & & & &      $1.00 $ &        $0.24 $ \\    
$P'_8$ & & & & & & & &      $1.00 $ \\     
\end{tabular}
\end{table}





\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $11.75 <q^2<12.50\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:10}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.41 $ &      $0.55 $ &       $-0.10 $ &       $-0.46 $ &      $-0.47 $ &      $-0.37 $ &      $-0.10 $ \\    
$P_1$ & &     $1.00 $ &        $-0.48 $ &      $0.05 $ &       $0.15 $ &       $0.16 $ &       $0.20 $ &        $0.04 $ \\    
$P_2$ & & &      $1.00 $ &        $-0.19 $ &      $-0.55 $ &      $-0.57 $ &      $-0.40 $ &       $-0.13 $ \\   
$P_3$ & & & &     $1.00 $ &        $0.11 $ &       $0.18 $ &       $0.20 $ &        $0.09 $ \\    
$P'_4$ & & & & &       $1.00 $ &        $0.52 $ &       $0.40 $ &        $0.23 $ \\    
$P'_5$ & & & & & &       $1.00 $ &        $0.45 $ &       $0.16 $ \\    
$P'_6$ & & & & & & &      $1.00 $ &        $0.22 $ \\    
$P'_8$ & & & & & & & &       $1.00 $ \\     
\end{tabular}
\end{table}




\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $15.0 <q^2<16.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:11}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.03 $ &      $0.41 $ &       $0.09 $ &       $0.12 $ &       $0.06 $ &       $0.00 $ &       $0.05 $ \\    
$P_1$ & &       $1.00 $ &        $0.07 $ &       $0.09 $ &       $-0.15 $ &      $-0.28 $ &      $-0.03 $ &      $0.01 $ \\    
$P_2$ & & &      $1.00 $ &        $0.08 $ &       $-0.02 $ &      $-0.11 $ &      $-0.01 $ &      $-0.01 $ \\   
$P_3$ & & & &       $1.00 $ &        $0.02 $ &       $0.06 $ &       $0.10 $ &        $0.12 $ \\    
$P'_4$ & & & & &       $1.00 $ &        $0.34 $ &       $-0.02 $ &      $-0.16 $ \\   
$P'_5$ & & & & & &       $1.00 $ &        $-0.13 $ &      $-0.02 $ \\   
$P'_6$ & & & & & & &      $1.00 $ &        $0.12 $ \\    
$P'_8$ & & & & & & & &   $1.00 $ \\     
\end{tabular}
\end{table}





\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $16.0 <q^2<17.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:12}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.09 $ &      $0.33 $ &       $0.03 $ &       $0.17 $ &       $0.23 $ &       $0.06 $ &       $-0.01 $ \\  
$P_1$ & &       $1.00 $ &        $0.07 $ &       $0.03 $ &       $-0.12 $ &      $-0.14 $ &      $0.01 $ &       $-0.02 $ \\  
$P_2$ & & &       $1.00 $ &        $0.04 $ &       $-0.15 $ &      $-0.06 $ &      $0.02 $ &       $0.02 $ \\   
$P_3$ & & & &        $1.00 $ &        $-0.06 $ &      $-0.18 $ &      $0.13 $ &       $0.08 $ \\   
$P'_4$ & & & & &     $1.00 $ &        $0.25 $ &       $0.09 $ &       $-0.02 $ \\  
$P'_5$ & & & & & &       $1.00 $ &        $0.02 $ &       $0.06 $ \\   
$P'_6$ & & & & & & &     $1.00 $ &        $0.14 $ \\   
$P'_8$ & & & & & & & &      $1.00 $ \\    
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $17.0 <q^2<18.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:13}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $-0.07 $ &      $0.28 $ &       $0.11 $ &       $0.04 $ &       $0.21 $ &       $-0.06 $ &      $0.06 $ \\  
$P_1$ & &      $1.00 $ &        $0.02 $ &       $0.07 $ &       $-0.12 $ &      $-0.20 $ &       $0.10 $ &        $0.00 $ \\  
$P_2$ & & &   $1.00 $ &        $0.00 $ &        $-0.07 $ &      $0.01 $ &       $-0.01 $ &      $0.06 $ \\  
$P_3$ & & & &  $1.00 $ &        $0.00 $ &        $-0.03 $ &      $0.19 $ &       $0.05 $ \\  
$P'_4$ & & & & &       $1.00 $ &        $0.15 $ &       $0.04 $ &       $-0.12 $ \\ 
$P'_5$ & & & & & &       $1.00 $ &        $-0.17 $ &      $0.08 $ \\  
$P'_6$ & & & & & & &      $1.00 $ &        $0.11 $ \\  
$P'_8$ & & & & & & & &       $1.00 $ \\   
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $18.0 <q^2<19.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:14}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ & $1.00 $ &         $0.03 $ &       $0.39 $ &       $0.10 $ &        $-0.06 $ &      $-0.01 $ &      $0.00 $ &       $0.06 $ \\   
$P_1$ & &        $1.00 $ &        $0.02 $ &       $0.03 $ &       $-0.14 $ &      $-0.18 $ &      $0.00 $ &       $0.03 $ \\   
$P_2$ & & &  $1.00 $ &        $0.00 $ &        $-0.27 $ &      $-0.29 $ &      $-0.03 $ &      $0.07 $ \\   
$P_3$ & & & &        $1.00 $ &        $-0.01 $ &      $-0.03 $ &      $0.17 $ &       $0.02 $ \\   
$P'_4$ & & & & &      $1.00 $ &        $0.38 $ &       $0.03 $ &       $0.01 $ \\   
$P'_5$ & & & & & &       $1.00 $ &        $-0.01 $ &      $-0.03 $ \\  
$P'_6$ & & & & & & &      $1.00 $ &        $0.19 $ \\   
$P'_8$ & & & & & & & &     $1.00 $ \\    
\end{tabular}
\end{table}



\begin{table}[!htb]
\caption{
Correlation matrix for the optimised angular observables obtained for the method of moments in the bin $15.0 <q^2<19.0\gevgevcccc$. 
\label{appendix:moments:correlation:optimised:15}
}
\centering
\begin{tabular}{l|rrrrrrrr}
 & $F_{\rm L}$ & $P_1$ & $P_2$ & $P_3$ & $P'_4$ & $P'_5$ & $P'_6$ & $P'_8$ \\
\hline
$F_{\rm L}$ &  $1.00 $ &   $-0.05 $ &   $0.33 $ &   $0.08 $ &   $0.08 $ &   $0.13 $ &   $0.01 $ &   $0.03 $ \\     
$P_1$ & &   $1.00 $ &   $0.05 $ &   $0.05 $ &   $-0.14 $ &   $-0.21 $ &   $0.02 $ &   $0.01 $ \\   
$P_2$ & & &   $1.00 $ &   $0.03 $ &   $-0.10 $ &   $-0.07 $ &   $-0.01 $ &   $0.02 $ \\    
$P_3$ & & & &  $1.00 $ &   $-0.02 $ &   $-0.06 $ &   $0.15 $ &   $0.07 $ \\    
$P'_4$ & & & & &   $1.00 $ &   $0.24 $ &   $0.04 $ &   $-0.07 $ \\   
$P'_5$ &  &  &  & & &   $1.00 $ &   $-0.07 $ &   $0.03 $ \\  
$P'_6$ &  &  & & &  & &  $1.00 $ &   $0.14 $ \\    
$P'_8$ & &  & & &  &  & &   $1.00 $ \\     
\end{tabular}
\end{table}

\clearpage

 
