Alignment inside the \align enviroment-horizontally and vertically

Is it possible to make both expressions for omega's aligned with one another and do the same for the coefficients a,b,r and d,c,t? I tried to align them manually by using center but it does not work.

 \usepackage[pdftex]{graphicx}
\usepackage[T1]{fontenc}
\usepackage{fouriernc}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amssymb}
\begin{document}
\begin{align*}
\omega_{1}^2&=1-2\sqrt[3]{19}+\sqrt[3]{19^2}\\
\omega_{1}^{2}&=b\omega_{1}+a\omega_{2}+r
\end{align*}
\begin{center}
$a=3,\hspace{1cm}b=-3,\hspace{1cm}r=-3$
\end{center}
similarly
\begin{align*}
\omega_{2}^2&=\frac{1}{3}(13+7\sqrt[3]{19}+\sqrt[3]{19})\\
\omega_{2}^{2}&=d\omega_{1}+c\omega_{2}+t
\end{align*}
\begin{center}
$d=2,\hspace{1cm}c=1,\hspace{1cm}t=6$
\end{center}
\end{document}


I get something like this

Is it possible to use align within align environment? Thank you

-

 \documentclass{article}
\usepackage[T1]{fontenc}
\usepackage{fouriernc}
\usepackage{mathtools}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amssymb}
\begin{document}
\begin{align*}
\omega_{1}^2&=1-2\sqrt[3]{19}+\sqrt[3]{19^2}\\
\omega_{1}^{2}&=b\omega_{1}+a\omega_{2}+r\\
\shortintertext{similarly}
\omega_{2}^2&=\frac{1}{3}(13+7\sqrt[3]{19}+\sqrt[3]{19})\\
\omega_{2}^{2}&=d\omega_{1}+c\omega_{2}+t\\
d=2, & \qquad c=1, \text{\phantom{$-$}}\qquad t=6
\end{align*}
\end{document}


-
Thank you. Your solution looks better. Is it possible to push the third line in each system a little bit to the right? –  user124471 Aug 27 '14 at 15:20
yes. as you please you can shift the line either center or right or keep it left adjusted. It will not look nice if it is centered. –  murugan Aug 27 '14 at 16:36
@user124471 Pushed now. Please see the updated answer. –  Harish Kumar Aug 28 '14 at 0:00
Great. Thank you. –  user124471 Aug 28 '14 at 9:39

The code could be written as shown below

\documentclass{article}
\usepackage[pdftex]{graphicx}
\usepackage[T1]{fontenc}
\usepackage{fouriernc}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amssymb}
\begin{document}
\begin{align*}
\omega_{1}^2&=1-2\sqrt[3]{19}+\sqrt[3]{19^2}\\
\omega_{1}^{2}&=b\omega_{1}+a\omega_{2}+r
\end{align*}
\flushright
Where
$a=3,\hspace{0.8cm}b=-3,\hspace{0.6cm}r=-3$\\
\vspace{0.3cm}
\flushleft
Similarly
\begin{align*}
\omega_{2}^2&=\frac{1}{3}(13+7\sqrt[3]{19}+\sqrt[3]{19})\\
\omega_{2}^{2}&=d\omega_{1}+c\omega_{2}+t
\end{align*}
\flushright
Where
$d=2,\hspace{1cm}c=1,\hspace{0.9cm}t=6$

\end{document}


OUTPUT:

-
Thank you, also a nice solution. –  user124471 Aug 28 '14 at 9:36