Have first sage plot working

.gitignore

 main*
 !main.tex
+sage-plots-for-main.tex/*
+**/__pycache__/
+sagetexscripts/*.py

Makefile

+# Requires GNU make, xargs, a latex distribution, sage
+# and sagetex.sty visible in TEXINPUTS
+
+MAINTEXFILE = main.tex
+TEXFILES = ${MAINTEXFILE}
+SAGESCRIPT = main.sagetex.sage
+SAGEPLOTFILES = sagetexscripts/fig1
+
+main.pdf: ${TEXFILES}  main.sagetex.sout
+	latexmk
+
+main.sagetex.sout: ${SAGESCRIPT} pymodules
+	sage $?
+
+${SAGESCRIPT}: ${TEXFILES}
+	pdflatex -interaction=nonstopmode ${MAINTEXFILE}
+
+pymodules: $(addsuffix .py,${SAGEPLOTFILES})
+
+$(addsuffix .py,${SAGEPLOTFILES}): $(addsuffix .sage,${SAGEPLOTFILES})
+	# Preparse Sagemath scripts in sagetexscripts,
+	# converting them to python files of form <basename>.py
+	# (ready to be imported as python modules)
+	sage --preparse $^
+	echo ${SAGEPLOTFILES} | xargs -I % sh -c 'mv %.sage.py %.py'
+
+.PHONY: clean
+clean:
+	latexmk -C
+	rm -f main.pdf
+	rm -f *.sagetex.*
+	rm -f *.xml
+	rm -f *.sta
+	rm -f *.bbl
+	rm -rf sage-plots-for-main.tex
+	rm -f *.tmp
+

main.tex

@@ -7,6 +7,7 @@
 \usepackage{amsmath}
 \usepackage{amsfonts}
 \usepackage{mathtools}
+\usepackage{sagetex}
 
 \usepackage{ulem}
 \usepackage{xcolor}
@@ -16,7 +17,7 @@
 \title{Bridgeland Stabilities and Finding Walls}
 \subtitle{}
 \author{Luke Naylor}
-\institute{University of Edinburgh}
+\institute{Hodge Club}
 \date{March 2023}
 
 \newcommand\RR{\mathbb{R}}
@@ -32,7 +33,7 @@
 	\titlepage
 \end{frame}
 
-\section{Transitioning to Stab on $D^b(X)$}
+\section{Transitioning to Stab on Triangulated Categories}
 
 \begin{frame}{Central Charge}
 	\begin{align*}
@@ -41,6 +42,14 @@
 	\end{align*}
 \end{frame}
 
+\begin{sagesilent}
+	import sagetexscripts.fig1
+\end{sagesilent}
+
+\begin{frame}{plot}
+	\sageplot{sagetexscripts.fig1.plot()}
+\end{frame}
+
 \section{Section 1}
 
 \section{Section 2}

sagetexscripts/fig1.sage

+#!/usr/bin/env sage
+
+from pseudowalls import *
+
+def plot():
+    O = Chern_Char(1,0)
+    O1 = exponential_chern(1,1)
+    O1inv = exponential_chern(-1,1)
+    O2 = O1 * O1
+    O_x = Chern_Char(0,1)
+
+    def plot_central_charge(chern, name, argument = None, radius = None):
+        Z = stability.Mumford().central_charge(chern)
+        x = Z.real()
+        y = Z.imag()
+
+        if not argument:
+            argument = arctan(y/x) if x != 0 else pi / 2
+            if argument <= 0:
+                argument += pi
+
+        if not radius:
+            radius = (pi-argument/2)/pi
+
+        return point(
+            Z,
+            marker = "o",
+            size = 600,
+            rgbcolor = "white",
+            #markeredgecolor = "purple",
+            zorder = 100
+        ) + point(
+            Z,
+            marker = name,
+            size = 500,
+            rgbcolor = "red",
+            zorder = 101
+        ) + line(
+            (0, Z),
+            rgbcolor = "red",
+            linestyle = "dashed",
+            zorder = 99
+        ) + disk(
+            (0,0),
+            float(radius),
+            (0, float(argument)),
+            alpha=.2,
+            fill=False,
+            thickness=1,
+            rgbcolor="purple"
+        )
+
+    p = sum(
+        plot_central_charge(chern, name)
+        for chern, name in [
+            (O1, r"$\mathcal{O}(1)$"),
+            (O, r"$\mathcal{O}_X$"),
+            (O1inv, r"$\mathcal{O}(-1)$"),
+            (O2, r"$\mathcal{O}(2)$"),
+            (O_x, r"$\mathcal{O}_p$")
+        ]
+    )
+
+    xmax = (2.5)
+    xmin = (-2.5)
+    ymin = (-0.25)
+    ymax = (1.5)
+    aspect_ratio = (1)
+
+    p += polygon(
+        [
+            (xmax + 1,0),
+            (xmin - 1,0),
+            (xmin - 1,ymax + 1),
+            (xmax + 1,ymax + 1)
+        ],
+        rgbcolor = "yellow",
+        alpha = 0.2,
+        zorder = 102
+    )
+
+    p.xmax(xmax)
+    p.xmin(xmin)
+    p.ymin(ymin)
+    p.ymax(ymax)
+    p.set_aspect_ratio(aspect_ratio)
+
+    p.axes_labels([r"$\mathcal{R}$",r"$\mathcal{I}$"])
+    return p