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[
    {
        "index": 0,
        "tikz_code": "\\documentclass[11pt]{amsart}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\draw[fill=black] (0,0) circle (0.05);\n\\draw[fill=black] (0,5) circle (0.05);\n\\draw[fill=black] (5,0) circle (0.05);\n\\draw[fill=black] (5,5) circle (0.05);\n\\draw[fill=black] (2.5,2.5) circle (0.05);\n\\draw[fill=black] (2.5,4.1) circle (0.05);\n\\draw[fill=black] (4.1,2.5) circle (0.05);\n\\draw[fill=black] (4.1,4.1) circle (0.05);\n\\draw[fill=black] (4,4) circle (0.05);\n\\draw (0,0) -- (5,0) -- (5,5) -- (0,5) -- (0,0);\n\\draw[dashed] (0,5.5) -- (5,5.5);\n\\draw[thick, dotted] (2.5,5.5) -- (4.1,5.5);\n\\draw[thick,violet] (1.3,3.6) -- (1.3,4.4) -- (2.8,4.4) -- (2.8,3.6) -- (1.3,3.6);\n\\draw[thick,violet] (3.4,1.7) -- (3.4,2.5) -- (4.9,2.5) -- (4.9,1.7) -- (3.4,1.7);\n\\draw[thick,violet] (0.7,2.5) -- (0.7,4.4) -- (2.2,4.4) -- (2.2,2.5) -- (0.7,2.5);\n\\draw[thick,violet] (3.6,2.5) -- (3.6,4.4) -- (5.1,4.4) -- (5.1,2.5) -- (3.6,2.5);\n\\draw[thick,violet] (0.9,3.6) -- (0.9,4.4) -- (2.4,4.4) -- (2.4,3.6) -- (0.9,3.6);\n\\draw[thick,violet] (1.3,1.7) -- (1.3,2.5) -- (2.8,2.5) -- (2.8,1.7) -- (1.3,1.7);\n\\node[below] at (5,0) {$Q_2$};\n\\node[below] at (0,0) {$Q_0$};\n\\node[below] at (2.5,0) {$Q_1$};\n\\node[below] at (4.1,0) {$Q_3$};\n\\node[right] at (5,2.5) {$Q_4$};\n\\node[left] at (0,2.5) {$Q_5$};\n\\node[right] at (2.5,4.1) {$Q_6$};\n\\node[left] at (0,4.1) {$Q_7$};\n\\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 1,
        "tikz_code": "\\documentclass[11pt]{article}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tikz}\n\\usepackage{tikz-cd}\n\\usetikzlibrary{arrows}\n\\usetikzlibrary{intersections}\n\\usetikzlibrary{shapes.geometric}\n\\usetikzlibrary{decorations.pathreplacing}\n\\usetikzlibrary{decorations.pathmorphing, patterns,shapes}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.7]\n\\filldraw[black] (0,0) circle (2pt);\n\\draw[red] (0,0) circle (40pt);\n\\draw[red] (0,0) circle (60pt);\n\\draw (-4,0) -- (4,0);\n\\draw (4,0) arc (0:120:4cm);\n\\draw (-4,0) arc (180:300:4cm);\n\\draw[<->] (0,-0.1) -- (3.9,-0.1);\n\\draw[<->] (0,-0.1) -- (-3.9,-0.1);\n\\draw[<->] (0.5,-0.5) -- (3.5,-0.5);\n\\draw[<->] (0.5,-0.5) -- (-3.5,-0.5);\n\\draw (2.5,2.5) node {$\\star$};\n\\draw (0,0) node[right] {\\footnotesize $\\mathcal{R}_{\\epsilon}$};\n\\draw[gray] (1,-1.5) node {$a$};\n\\draw[gray] (-1,-1.5) node {$b$};\n\\draw (4,2) node {$\\gamma$};\n\\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 2,
        "tikz_code": "\\documentclass[a4paper,12pt]{article}\n\\usepackage{color,makeidx,bm,latexsym,amscd,amsmath,amssymb,enumerate,stmaryrd,amsthm,float,graphicx,psfrag,geometry}\n\\usepackage{tikz,epic,eso-pic}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\n\\coordinate (B) at (0,1.5);\n\\coordinate (C) at (0,0);\n\\coordinate (D) at (0,-1.5);\n\\coordinate (A) at (3,1.5);\n\\coordinate (E) at (3,0);\n\\coordinate (F) at (3,-1.5);\n\n\\draw (B)--(C)--(D);\n\\draw (A)--(E)--(F);\n\\draw [fill=white] (3.5,-0.75)--(3.5,0.75)--++(0.15,0);\n\\draw [fill=blue!20!white] (3.45,-0.75)--(3.45,0.75)--++(-0.15,0);\n\\draw [fill=blue!20!white] (0.5,-0.75)--(0.5,0.75)--++(-0.15,0);\n\\draw [fill=red!20!white] (0.45,-0.75)--(0.45,0.75)--++(0.15,0);\n\\draw [fill=red!20!white] (-0.5,-0.75)--(-0.5,0.75)--++(0.15,0);\n\n\\draw [fill=red!20!white] (0,-0.75)--(0,0.75)--++(-0.15,0)--++(-0.15,-0.15)--++(-0.15,0)--++(-0.15,0.15)--++(-0.15,-0.15)--cycle;\n\\draw [fill=red!20!white] (0.15,-0.75)--(0.15,0.75)--++(-0.15,0)--++(-0.15,-0.15)--++(-0.15,0)--++(-0.15,0.15)--++(-0.15,-0.15)--cycle;\n\\draw [fill=red!20!white] (2.85,-0.75)--(2.85,0.75)--++(0.15,0)--++(0.15,-0.15)--++(0.15,0)--++(0.15,0.15)--++(0.15,-0.15)--cycle;\n\\draw [fill=red!20!white] (3,-0.75)--(3,0.75)--++(0.15,0)--++(0.15,-0.15)--++(0.15,0)--++(0.15,0.15)--++(0.15,-0.15)--cycle;\n\n\\draw [fill=red!20!white] (0,-0.75)--(0,-1.5)--++(3,0)--++(0,0.15)--++(-3,0)--cycle;\n\n\\draw [->, very thick] (0,0.75)--(2.5,0.75);\n\\draw [->, very thick] (0,-0.75)--(2.5,-0.75);\n\n\\draw [->, very thick] (0,0)--++(0,0.15);\n\n\\draw [->, very thick] (0.15,-0.75)--(0.15,-1.5);\n\\draw [->, very thick] (0.15,0.75)--(0.15,1.5);\n\n\\draw [->, very thick] (2.85,-0.75)--(2.85,-1.5);\n\\draw [->, very thick] (2.85,0.75)--(2.85,1.5);\n\n\\draw [->, very thick] (3,-0.75)--(3,-1.5);\n\\draw [->, very thick] (3,0.75)--(3,1.5);\n\n\\draw [->, very thick] (0.5,-0.75)--(0.5,-1.5);\n\\draw [->, very thick] (0.5,0.75)--(0.5,1.5);\n\n\\draw [->, very thick] (-0.5,-0.75)--(-0.5,-1.5);\n\\draw [->, very thick] (-0.5,0.75)--(-0.5,1.5);\n\n\\node at (2.5,0.9) {$\\bm{e}_0$};\n\\node at (2.5,-0.9) {$\\bm{e}_1$};\n\\node at (2.5,0) {$\\bm{e}_2$};\n\\node at (2.5,1.5) {$\\bm{e}_3$};\n\\node at (2.5,-1.5) {$\\bm{e}_4$};\n\\node at (2.5,-0.15) {$\\bm{e}_5$};\n\\node at (2.5,0.15) {$\\bm{e}_6$};\n\\node at (2.5,-0.75) {$\\bm{d}_{1,0}$};\n\\node at (2.5,0.75) {$\\bm{d}_{2,0}$};\n\\node at (2.5,-1.75) {$\\bm{d}_{3,0}$};\n\\node at (2.5,1.75) {$\\bm{d}_{4,0}$};\n\n\\node at (2.5,-2.25) {$\\bm{d}_{1,1}$};\n\\node at (2.5,-2.5) {$\\bm{d}_{2,1}$};\n\\node at (2.5,-2.75) {$\\bm{d}_{3,1}$};\n\\node at (2.5,2.25) {$\\bm{d}_{4,1}$};\n\n\\node at (0.5,-2.25) {$\\bm{y}$};\n\n\\node at (-1,0) {$\\bm{y}$};\n\n\\node at (-0.5,-2.75) {$\\bm{x}$};\n\n\\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 3,
        "tikz_code": "\\documentclass[11pt,a4paper]{article}\n\\usepackage{amsmath,amssymb}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n        \\node at (0,0) {\\includegraphics[width=6.4cm]{example-image}};\n        \\node at (6.4,0) {\\includegraphics[width=6.4cm]{example-image}};\n        \\node at (-2.38,-0.7) {$a$};\n        \\node at (4.2,-0.7) {$a$};\n        \\node at (0,1.2) {$b$};\n        \\node at (6.4,1.2) {$b$};\n        \\node at (-2.38,1.7) {$c$};\n        \\node at (4.2,1.7) {$c$};\n        \\node at (-0.25,-1.6) {$\\frac{b}{c}$};\n        \\node at (6.3,-1.6) {$\\frac{b}{c}$};\n        \\node at (-2.38,-2.2) {$a$};\n        \\node at (4.2,-2.2) {$a$};\n        \\node at (0,-2.8) {$b$};\n        \\node at (6.4,-2.8) {$b$};\n        \\draw[->,thick] (0,0.5) -- (0,1);\n        \\draw[->,thick] (0.5,0) -- (1,0);\n        \\draw[->,thick] (0.5,-2.5) -- (1,-2.5);\n        \\draw[->,thick] (6.4,0.5) -- (6.4,1);\n        \\draw[->,thick] (6.9,0) -- (7.4,0);\n        \\draw[->,thick] (6.9,-2.5) -- (7.4,-2.5);\n        \\node at (-2.38,0.9) {Outgoing DP};\n        \\node at (4.2,0.9) {Outgoing DP};\n        \\node at (-2.38,-0.9) {Incoming DP};\n        \\node at (4.2,-0.9) {Incoming DP};\n    \\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 4,
        "tikz_code": "\\documentclass[a4paper,11pt]{article}\n\\usepackage[T1]{fontenc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{tikz-feynman}\n\\tikzfeynmanset{compat=1.1.0}\n\n\\begin{document}\n\n\\begin{tikzpicture}[baseline=(a)]\n      \\begin{feynman}\n        \\vertex (a) {$1$};\n        \\vertex [right=3.5cm of a] (b) {$5$};\n        \\vertex [above=2em of a] (i1) {$2$};\n        \\vertex [right=3em of i1] (i2);\n        \\vertex [right=3em of i2] (i3);\n        \\vertex [below=2em of a] (d1) {$3$};\n        \\vertex [right=3em of d1] (d2);\n        \\vertex [right=3em of d2] (d3);\n        \\vertex [right=3em of d3] (d4) {$4$};\n        \\vertex [above=1.7em of b] (f1) {$3$};\n        \\vertex [right=3em of f1] (f2);\n        \\vertex [right=3em of f2] (f3);\n        \\vertex [below=1.7em of b] (g1) {$2$};\n        \\vertex [right=3em of g1] (g2);\n        \\vertex [right=3em of g2] (g3);\n        \\vertex [right=3em of g3] (g4) {$5$};\n        \\diagram* {\n          (a) -- [scalar] (i1),\n          (d1) -- [scalar] (i2),\n          (d2) -- [scalar] (i3),\n          (d3) -- [scalar] (i2),\n          (d4) -- [scalar] (i3),\n          (f1) -- [scalar] (g1),\n          (g2) -- [scalar] (f2),\n          (g3) -- [scalar] (f2),\n          (g4) -- [scalar] (f3),\n        };\n      \\end{feynman}\n    \\draw[fill=white] (2.7,0.5) circle (0.2cm);\n    \\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 5,
        "tikz_code": "\\documentclass{article}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.text}\n\\usetikzlibrary{automata,positioning}\n\n\\begin{document}\n\n\\begin{tikzpicture}[shorten >=1pt,node distance=2cm,on grid,auto] \n   \\node[state] (a) {$A$};\n   \\node[state] (b) [right =of a] {$B$};\n   \\node[state] (c) [right =of b] {$C$};\n   \\node[state] (d) [below =of c] {$D$};\n   \\node[state] (e) [left =of d] {$E$};\n   \\node[state] (f) [left =of e] {$F$};\n   \\node[state] (g) [below =of f] {$G$};\n   \\node[state] (h) [below =of g] {$H$};\n   \\node[state] (i) [left =of h] {$I$};\n   \\node[state] (j) [left =of i] {$J$};\n    \\node[state] (k) [right =of i] {$K$};\n   \\node[state] (l) [right =of k] {$L$};\n    \\node[state] (m) [right =of l] {$M$};\n    \\node[state] (n) [right =of m] {$N$};\n    \\node[state] (o) [right =of n] {$O$};\n    \\node[state] (p) [right =of o] {$P$};\n    \\path[->]\n    (a) edge  node {} (b)\n    (b) edge  node {} (c)\n    (c) edge  node {} (d)\n    (d) edge  node {} (e)\n    (e) edge  node {} (f)\n    (f) edge  node {} (g)\n    (g) edge  node {} (h)\n    (h) edge  node {} (i)\n    (i) edge  node {} (j)\n    (k) edge  node {} (l)\n    (l) edge  node {} (m)\n    (m) edge  node {} (n)\n    (n) edge  node {} (o)\n    (o) edge  node {} (p)\n    (p) edge[bend right]  node {} (a)\n    (i) edge[bend left]  node {} (a)\n    (k) edge[bend left]  node {} (a)\n    (l) edge[bend left]  node {} (a)\n    (m) edge[bend left]  node {} (a)\n    (n) edge[bend left]  node {} (a);\n    \\draw[decorate,decoration={brace,amplitude=7pt}] \n    (a.north west) -- (k.north east) node[midway,above=3pt] {($1$)};\n    \\draw[decorate,decoration={brace,amplitude=7pt}] \n    (k.south west) -- (l.south east) node[midway,below=3pt] {($2$)};\n    \\draw[decorate,decoration={brace,amplitude=7pt}] \n    (l.south west) -- (n.south east) node[midway,below=3pt] {($3$)};\n    \\draw[decorate,decoration={brace,amplitude=7pt}] \n    (n.south west) -- (o.south east) node[midway,below=3pt] {($4$)};\n    \\draw[decorate,decoration={brace,amplitude=7pt}] \n    (o.south west) -- (p.south east) node[midway,below=3pt] {($5$)};\n\\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 6,
        "tikz_code": "\\documentclass[10pt,twocolumn,letterpaper]{article}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{amsmath,amsfonts,bm}\n\\usepackage{color,soul}\n\\usepackage{colortbl}\n\\usepackage{tikz}\n\\usepackage{pgfplots}\n\\pgfplotsset{compat=default}\n\\usetikzlibrary{pgfplots.groupplots}\n\\usepackage[pagebackref,breaklinks,colorlinks]{hyperref}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\begin{axis} [xticklabels={Unnecessary, Illegal, Unregulated, Recreation, Unclassified, Education, Personal, Healthcare, Business, Shopping, Unspecified},\nxtick=data,\nylabel=Percentage,\nenlargelimits=0.05,\nlegend style={at={(0.5,1.15)},\n\tanchor=north,legend columns=-1},\nybar,\nbar width = 6pt,\nymajorgrids=true,\ngrid style=dashed\n]\n\\addplot\n\tcoordinates {(1,12.67) (2,24.77) (3,8.49) (4,15.51) (5,1.06) (6,5.63) (7,11.93) (8,8.57) (9,1.45) (10,2.25)};\n\t\n\\addplot\n\tcoordinates {(1,10.45) (2,24.40) (3,8.66) (4,15.34) (5,1.03) (6,5.38) (7,11.90) (8,8.51) (9,1.57) (10,2.18)};\n\\legend{Old, New}\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 7,
        "tikz_code": "\\documentclass{article}\n\\usepackage{amsmath, amssymb, amsthm}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{tikz-cd,tikz, tikz-3dplot}\n\\usetikzlibrary{calc,positioning,}\n\\usepackage{pgfplots}\n\\usepgfplotslibrary{fillbetween}\n\\tikzset{\n  partial ellipse/.style args={#1:#2:#3}{\n    insert path={+ (#1:#3) arc (#1:#2:#3)}\n  }\n}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.9, >=stealth]\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+3}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y-3}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({1.5*\\y*\\y-0.5}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({1.5*\\y*\\y+0.5}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-0.5*\\y*\\y+1.5}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-0.5*\\y*\\y+1.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({1.5*\\y*\\y-0.3}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-1.5*\\y*\\y-0.3}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({1.5*\\y*\\y-0.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-1.5*\\y*\\y-0.8}, {\\y});\n      \\draw (-1.45,0.9) node {$c^{n_1}_\\gamma$};\n      \\draw (-1.45,0.1) node {$c^{n_1}_\\gamma$};\n      \\draw (1.2,1.3) node {$c^{n_2}_\\gamma$};\n      \\draw (1.2,-1.3) node {$c^{n_2}_\\gamma$};\n      \\draw (-0.2,0.5) node {$\\gamma_n$};\n      \\draw (0.7,-0.6) node {$\\gamma_n$};\n      \\draw (-0.9,1.65) node {$\\gamma_n$};\n      \\draw (-0.9,-1.65) node {$\\gamma_n$};\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+0.3}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+1.15}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+0.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y-0.5}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y-0.3}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y-0.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+1.6}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+1.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+1.5}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({-\\y*\\y+1.2}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-1.4}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-1.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-1.2}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-0.5}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-0.8}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-1.6}, {\\y});\n      \\draw[domain=-1.2:1.2, smooth, variable=\\y, black, ->] plot ({0.3*\\y*\\y-1.15}, {\\y});\n    \\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 8,
        "tikz_code": "\\documentclass[11pt,a4paper]{article}\n\\usepackage{amssymb}\n\\usepackage[dvipsnames]{xcolor}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\\usetikzlibrary{intersections}\n\\usetikzlibrary{arrows}\n\\usetikzlibrary{decorations.markings}\n\\usetikzlibrary{matrix,arrows,decorations.pathmorphing}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.8,font=\\small]\n\t\t\\draw[dotted,very thick] (0,1) node[above]{$\\sigma^N-1$} -- (2,1);\n\t\t\\draw[very thick] (2,1) node[right]{$\\sigma^N$} -- (3,0) node[right]{$\\sigma^N-1$};\n\t\t\\draw[very thick] (2,1) -- (3,2) node[right]{$\\sigma^N-1$};\n\t\t\\draw[dotted,very thick] (2,1) -- (1,2) node[above]{$\\sigma^N$};\n\t\t\\fill (2,1) circle (2pt);\n\t\t\\node[left=2pt] at (0,1) {$A_\\nu^a=$};\n\t\t\\node at (1,1) {$v_1$};\n\t\\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 9,
        "tikz_code": "\\documentclass[12pt,oneside,reqno]{amsart}\n\\usepackage{amssymb, amsmath, amsthm}\n\\usepackage{color}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=5]\n        % circle\n        \\draw [densely dashed] (0, 0) circle (1cm);\n        \\draw [fill=gray!30] (0, 0) circle (0.5cm);\n\n        % geodesics\n        \\draw [thick] (0, 0) -- (0, 1) arc (90:270:0.5cm);\n        \\draw [thick] (0, 0) -- (0, -1) arc (270:450:0.5cm);\n\n        % radius\n        \\draw [fill=white] (0, 0) circle (0.05cm);\n        \\node at (0, 0) {$R$};\n\n        % angles\n        \\draw [dashed] (0.5, 0) arc (0:38:0.5cm);\n        \\node at (0.35, 0.15) {$\\delta$};\n        \\draw [dashed] (-0.5, 0) arc (180:152:0.5cm);\n        \\node at (-0.35, 0.15) {$\\delta$};\n        \\draw [dashed] (0, 0.5) arc (90:112:0.5cm);\n        \\node at (0.15, 0.35) {$\\delta$};\n        \\draw [dashed] (0, -0.5) arc (270:292:0.5cm);\n        \\node at (0.15, -0.35) {$\\delta$};\n\n        % infinity\n        \\draw [fill=white] (0, -0.5) -- (0, 0.5) -- (0, 0.75) -- cycle;\n        \\node at (0, 0.5) {$\\mathbf{\\oplus}_{s}$};\n\n        % projections\n        \\draw [fill=gray!30] (0, 0) -- (0, 1) -- (0.5, 1) -- cycle;\n        \\draw [fill=gray!30] (0, 0) -- (0, -1) -- (0.5, -1) -- cycle;\n    \\end{tikzpicture}\n\n\\end{document}"
    },
    {
        "index": 10,
        "tikz_code": "\\documentclass[11pt,a4paper]{article}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[usenames]{color}\n\\usepackage{microtype,colortbl}\n\\usepackage{color}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1,cm={cos(45),sin(45),-sin(45),cos(45),(15,0)}]\n  \\draw[step = 1, gray, ultra thin] (0, 0) grid (8, 5);\n\n  \\draw[fill, red] (0, 0) circle[radius=0.04];\n  \\draw[fill, blue] (1, 1) circle[radius=0.04] node[above=2pt] {$u$};\n  \\draw[fill, blue] (2, 2) circle[radius=0.04];\n  \\draw[fill, blue] (3, 3) circle[radius=0.04];\n  \\draw[fill, red] (4, 4) circle[radius=0.04];\n  \\draw[fill, blue] (5, 3) circle[radius=0.04];\n  \\draw[fill, blue] (6, 2) circle[radius=0.04];\n  \\draw[fill, blue] (7, 1) circle[radius=0.04] node[above=2pt] {$v$};\n\\end{tikzpicture}\n\n\\end{document}"
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]