diff --git a/BSEdyn.tex b/BSEdyn.tex
index 5bba572..c3c3e7b 100644
--- a/BSEdyn.tex
+++ b/BSEdyn.tex
@@ -69,6 +69,7 @@
 \newcommand{\GW}{GW}
 \newcommand{\stat}{\text{stat}}
 \newcommand{\dyn}{\text{dyn}}
+\newcommand{\TDA}{\text{TDA}}
 
 % energies
 \newcommand{\Enuc}{E^\text{nuc}}
@@ -586,12 +587,12 @@ From a practical point of view, if one enforces the TDA, we obtain the very simp
 \label{eq:Om1-TDA}
 	\Om{m}{(1)} = \T{(\bX{m}{(0)})} \cdot \bA{(1)}(\Om{m}{(0)}) \cdot \bX{m}{(0)}.
 \end{equation}
-This correction can be renormalized by computing, at basically no extra cost, the renormalization factor
+This correction can be renormalized by computing, at basically no extra cost, the renormalization factor which reads, in the TDA,
 \begin{equation}
 \label{eq:Z}
-	Z_{m} = \qty[ 1 - \T{(\bX{m}{(0)})} \cdot \left. \pdv{\bA{(1)}(\omega)}{\omega} \right|_{\omega = \Om{m}{(0)}} \cdot \bX{m}{(0)} ]^{-1},
+	Z_{m} = \qty[ 1 - \T{(\bX{m}{(0)})} \cdot \left. \pdv{\bA{(1)}(\omega)}{\omega} \right|_{\omega = \Om{m}{(0)}} \cdot \bX{m}{(0)} ]^{-1}.
 \end{equation}
-which finally yields
+This finally yields
 \begin{equation}
 	\Om{m}{\text{dyn}} = \Om{m}{\text{stat}} + \Delta\Om{m}{\text{dyn}} = \Om{m}{(0)} + Z_{m} \Om{m}{(1)}.
 \end{equation}
@@ -637,6 +638,38 @@ All the BSE calculations have been performed with our locally developed $GW$ sof
 \label{sec:resdis}
 %%%%%%%%%%%%%%%%%%%%%%%%
 
+%%% TABLE I %%%
+\begin{table*}
+	\caption{
+	Excitation energies (in eV) of \ce{N2} at the BSE@{\GOWO}@HF level for various basis sets.
+	\label{tab:N2}
+	}
+	\begin{ruledtabular}
+		\begin{tabular}{lddddddddd}
+											&	\mc{3}{c}{aug-cc-pVDZ ($\Eg^{\GW} = 19.49$ eV)}	
+											&	\mc{3}{c}{aug-cc-pVTZ ($\Eg^{\GW} = 19.20$ eV)}
+											&	\mc{3}{c}{aug-cc-pVQZ ($\Eg^{\GW} = $ eV)}		\\
+											\cline{2-4} \cline{5-7} \cline{8-10}
+			State							&	\tabc{$\Om{m}{\stat}$}	&	\tabc{$\Delta\Om{m}{\dyn,\TDA}$}	&	\tabc{$\Delta\Om{m}{\dyn}$} 	
+											&	\tabc{$\Om{m}{\stat}$}	&	\tabc{$\Delta\Om{m}{\dyn,\TDA}$}	&	\tabc{$\Delta\Om{m}{\dyn}$}	
+											&	\tabc{$\Om{m}{\stat}$}	&	\tabc{$\Delta\Om{m}{\dyn,\TDA}$}	&	\tabc{$\Delta\Om{m}{\dyn}$}	\\
+			\hline
+			$^1\Pi_g(n \ra \pis)$			&	10.18	&	-0.41	&	-0.43	&	10.42	&	-0.42	&	-0.40	&		&		&	\\
+			$^1\Sigma_u^-(\pi \ra \pis)$	&	9.95	&	-0.44	&	-0.44	&	10.11	&	-0.45	&	-0.45	&		&		&	\\
+			$^1\Delta_u(\pi \ra \pis)$		&	10.57	&	-0.41	&	-0.40	&	10.75	&	-0.42	&	-0.41	&		&		&	\\
+			$^1\Sigma_g^+$(R)				&	13.72	&	-0.04	&	-0.04	&	13.60	&	-0.03	&	-0.03	&		&		&	\\
+			$^1\Pi_u$(R)					&	14.07	&	-0.05	&	-0.05	&	13.98	&	-0.04	&	-0.04	&		&		&	\\
+			$^1\Sigma_u^+$(R)				&	13.80	&	-0.08	&	-0.08	&	13.98	&	-0.07	&	-0.08	&		&		&	\\  
+			$^1\Pi_u$(R)					&	14.22	&	-0.04	&	-0.03	&	14.24	&	-0.03	&	-0.03	&		&		&	\\  
+			$^3\Sigma_u^+(\pi \ra \pis)$	&	9.21	&	-1.01	&	-0.71	&	9.50	&	-1.04	&	-0.73	&		&		&	\\  
+			$^3\Pi_g(n \ra \pis)$			&	9.58	&	-0.57	&	-0.34	&	9.85	&	-0.58	&	-0.33	&		&		&	\\  
+			$^3\Delta_u(\pi \ra \pis)$		&	9.97	&	-0.92	&	-0.58	&	10.19	&	-0.95	&	-0.36	&		&		&	\\  
+			$^3\Sigma_u^-(\pi \ra \pis)$	&	10.71	&	-0.81	&	-0.68	&	10.89	&	-0.82	&	-0.30	&		&		&	\\
+		\end{tabular} 
+	\end{ruledtabular}
+\end{table*}
+
+
 %%% TABLE I %%%
 \begin{table*}
 	\caption{
@@ -656,8 +689,8 @@ All the BSE calculations have been performed with our locally developed $GW$ sof
 			\ce{H2O}	&	$^1B_1(n \ra 3s)$	&	13.58	&	8.09	&	8.00	&	-0.09	&	1.007	&	&	&	&	&	&	7.62	&	7.18	&	7.60	&	7.23	&	7.65	\\
 						&	$^1A_2(n \ra 3p)$	&			&	9.79	&	9.72	&	-0.07	&	1.005	&	&	&	&	&	&	9.41	&	8.84	&	9.36	&	8.89	&	9.43	\\
 						&	$^1A_1(n \ra 3s)$	&			&	10.42	&	10.35	&	-0.07	&	1.006	&	&	&	&	&	&	9.99	&	9.52	&	9.96	&	9.58	&	10.00	\\
-			\ce{N2}		&	$^1\Pi_g(n \ra \pis)$			&	19.20	&	10.11	&	9.66	&	-0.45	&	1.029	&	&	&	&	&	&	9.66	&	9.48	&	9.41	&	9.44	&	9.34	\\
-						&	$^1\Sigma_u^-(\pi \ra \pis)$	&			&	10.42	&	9.99	&	-0.42	&	1.031	&	&	&	&	&	&	10.31	&	10.26	&	10.00	&	10.32	&	9.88	\\
+			\ce{N2}		&	$^1\Pi_g(n \ra \pis)$			&	19.20	&	10.42	&	9.99	&	-0.42	&	1.031	&	&	&	&	&	&	9.66	&	9.48	&	9.41	&	9.44	&	9.34	\\
+						&	$^1\Sigma_u^-(\pi \ra \pis)$	&			&	10.11	&	9.66	&	-0.45	&	1.029		&	&	&	&	&	&	10.31	&	10.26	&	10.00	&	10.32	&	9.88	\\
 						&	$^1\Delta_u(\pi \ra \pis)$		&			&	10.75	&	10.33	&	-0.42	&	1.030	&	&	&	&	&	&	10.85	&	10.79	&	10.44	&	10.86	&	10.29	\\
 						&	$^1\Sigma_g^+$(R)				&			&	13.60	&	13.57	&	-0.03	&	1.003	&	&	&	&	&	&	13.67	&	12.99	&	13.15	&	12.83	&	13.01	\\
 						&	$^1\Pi_u$(R)					&			&	13.98	&	13.94	&	-0.04	&	1.004	&	&	&	&	&	&	13.64	&	13.32	&	13.43	&	13.15	&	13.22	\\
@@ -726,6 +759,25 @@ All the BSE calculations have been performed with our locally developed $GW$ sof
 	\end{ruledtabular}
 \end{table*}
 
+%%% TABLE III %%%
+\begin{table}
+	\caption{
+	Excitation energies (in eV) of CN3 obtained with the aug-cc-pVDZ basis set  at various levels of theory.
+	%$\Eg^{\GW} = 13.79$ eV.		
+	\label{tab:CN3}
+	}
+	\begin{ruledtabular}
+		\begin{tabular}{lcc}
+							&	\mc{2}{c}{Excitation}	\\
+		Method				&	$^1B_2(\pi \ra \pis)$	&	$^3B_2(\pi \ra \pis)$		\\
+		\hline
+		BSE@{\GOWO}@HF			&	7.66					&	6.52	\\			
+		dBSE(TDA)@{\GOWO}@HF	&	7.51					&	6.11	\\			
+		FCI						&	7.14					&	5.47	\\			
+		\end{tabular} 
+	\end{ruledtabular}
+\end{table}
+
 %%%%%%%%%%%%%%%%%%%%%%%%
 \section{Conclusion}
 \label{sec:conclusion}
@@ -735,7 +787,7 @@ This is the conclusion
 %%%%%%%%%%%%%%%%%%%%%%%%
 \acknowledgements{
 %%%%%%%%%%%%%%%%%%%%%%%%
-%PFL thanks the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No.~863481) for financial support.
+PFL thanks the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No.~863481) for financial support.
 This work was performed using HPC resources from GENCI-TGCC (Grant No.~2019-A0060801738) and CALMIP (Toulouse) under allocation 2020-18005.
 Funding from the \textit{``Centre National de la Recherche Scientifique''} is acknowledged.
 This work has also been supported through the EUR grant NanoX ANR-17-EURE-0009 in the framework of the \textit{``Programme des Investissements d'Avenir''.}}