\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
mchrzasz