Give examples of possible Gamma curves for Lambda stab

main.tex

@@ -440,4 +440,12 @@
 	\end{itemize}
 \end{frame}
 
+\begin{frame}
+	\resizebox{\hsize}{!}{ \sageplot{fig7.plot()} }
+\end{frame}
+
+\begin{frame}
+	\resizebox{\linewidth}{!}{ \sageplot{fig8.plot()} }
+\end{frame}
+
 \end{document}

sagetexscripts/fig7.sage

+from pseudowalls import *
+
+def plot():
+	plot_range = 4
+	v = Chern_Char(2,0,-1,1/2)
+	lam = stability.Lambda(s=1/3)
+	Theta = lam.rank(v)
+	Gamma = lam.degree(v)
+	mu = stability.Mumford().slope(v)
+	p = (
+	implicit_plot(Theta, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range))
+	+ implicit_plot(Gamma, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range), rgbcolor="green")
+	+ line([(mu,0),(mu,plot_range)], rgbcolor = "red")
+	+ text(r"$\beta=\mu$", (mu, -0.5), fontsize="x-large", rgbcolor="red")
+	+ text(r"$\nu = 0$", (mu+1, -0.5), fontsize="x-large", rgbcolor="blue")
+	+ text(r"$\lambda = 0$", (mu-1.5, -0.5), fontsize="x-large", rgbcolor="green")
+	)
+	p.tick_label_color("white")
+	p.ymin(0)
+	p
+	return p

sagetexscripts/fig8.sage

+from pseudowalls import *
+
+def plot():
+	plot_range = 4
+	v = Chern_Char(2,0,-1,1)
+	lam = stability.Lambda(s=1/3)
+	Theta = lam.rank(v)
+	Gamma = lam.degree(v)
+	mu = stability.Mumford().slope(v)
+	p = (
+	implicit_plot(Theta, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range))
+	+ implicit_plot(Gamma, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range), rgbcolor="green")
+	+ line([(mu,0),(mu,plot_range)], rgbcolor = "red")
+	+ text(r"$\beta=\mu$", (mu, -0.5), fontsize="x-large", rgbcolor="red")
+	+ text(r"$\nu = 0$", (mu-1, -0.5), fontsize="x-large", rgbcolor="blue")
+	+ text(r"$\lambda = 0$", (mu+2, -0.5), fontsize="x-large", rgbcolor="green")
+	)
+	p.tick_label_color("white")
+	p.ymin(0)
+	p
+	return p