(*^
::[	Information =

	"This is a Mathematica Notebook file.  It contains ASCII text, and can be
	transferred by email, ftp, or other text-file transfer utility.  It should
	be read or edited using a copy of Mathematica or MathReader.  If you 
	received this as email, use your mail application or copy/paste to save 
	everything from the line containing (*^ down to the line containing ^*)
	into a plain text file.  On some systems you may have to give the file a 
	name ending with ".ma" to allow Mathematica to recognize it as a Notebook.
	The line below identifies what version of Mathematica created this file,
	but it can be opened using any other version as well.";

	FrontEndVersion = "Macintosh Mathematica Notebook Front End Version 2.2";

	MacintoshStandardFontEncoding; 
	
	fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e8,  24, "Times"; 
	fontset = subtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e6,  18, "Times"; 
	fontset = subsubtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, italic, e6,  14, "Times"; 
	fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, a20,  18, "Times"; 
	fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, a15,  14, "Times"; 
	fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, a12,  12, "Times"; 
	fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Monaco"; 
	fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  10, "Times"; 
	fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L-5,  12, "Courier"; 
	fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5,  12, "Courier"; 
	fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, R65535, L-5,  12, "Courier"; 
	fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5,  12, "Courier"; 
	fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, B65535, L-5,  12, "Courier"; 
	fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287,  12, "Courier"; 
	fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic,  10, "Geneva"; 
	fontset = header, inactive, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = leftheader, inactive, L2,  12, "Times"; 
	fontset = footer, inactive, noKeepOnOnePage, preserveAspect, center, M7,  12, "Times"; 
	fontset = leftfooter, inactive, L2,  12, "Times"; 
	fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  10, "Times"; 
	fontset = clipboard, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = completions, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = special1, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7,  12, "Times"; 
	paletteColors = 128; currentKernel; 
]
:[font = section; inactive; initialization; preserveAspect; cellOutline; backColorRed = 58981; backColorGreen = 58981; backColorBlue = 58981]
Your Assignment:
1) Execute the entire notebook.  Experiment if you like. 
2) Generate plots as described at the end of this Notebook.
3) Hand in the plots.
;[s]
2:0,0;16,1;157,-1;
2:1,19,14,Times,1,18,0,0,0;1,16,12,Times,1,14,0,0,0;
:[font = subsubsection; inactive; preserveAspect; cellOutline; backColorRed = 58981; backColorGreen = 58981; backColorBlue = 58981]
 Suggestion: if you want to save this file on you disk, CUT the graphics first so it will fit. (Graphics take up over 1MB.)
:[font = section; inactive; initialization; Cclosed; preserveAspect; startGroup]
**********************************
Initialization Stuff:
(Just execute this, don't read it!!!)
;[s]
2:0,0;56,1;95,-1;
2:1,19,14,Times,1,18,0,0,0;1,16,12,Times,1,14,0,0,0;
:[font = subsection; inactive; initialization; Cclosed; preserveAspect; startGroup]
Packages  
:[font = special5; inactive; initialization; preserveAspect]
    You may wish to turn off the spell checker before starting this chapter:
:[font = input; initialization; preserveAspect]
*)
Clear["Global`*"];
Off[General::spell ]; 
Off[General::spell1];
(*
:[font = special5; inactive; initialization; preserveAspect]
Load package:
:[font = input; initialization; preserveAspect; endGroup]
*)
Needs["Graphics`PlotField`"] 
(*
:[font = subsubsection; inactive; initialization; Cclosed; preserveAspect; startGroup]
3. Monopole
:[font = input; initialization; preserveAspect]
*)
Monopole::usage="Monopole[q,{x0,y0,z0},{x,y,z}] 
computes the potential due to a monopole of charge q 
located at position {x0,y0,z0} in {x,y,z} coordinates.";
(*
:[font = input; initialization; preserveAspect; endGroup]
*)
Monopole[q_:1,r0_:{0,0,0},r_:{x,y,z}]:= 
   q/Sqrt[ Sum[(r0[[i]]-r[[i]])^2,{i,1,Length[r0]}] ]; 
(*
:[font = subsubsection; inactive; initialization; preserveAspect]
5. VEPlot
:[font = input; initialization; preserveAspect]
*)
VEPlot::usage= 
"VEPlot[potential,xlim:{x,-2,2},ylim:{y,-2,2}] 
plots the electric field and equipotential surfaces 
xlim and ylim.";

VEPlot[potentialIN_,xlim_:{x,-2,2.1},ylim_:{y,-2,2.1}]:=
Module[{plot1,plot2},

  potential=potentialIN /.{z->0} //Evaluate;

  plot1=PlotGradientField[-potential 
            ,xlim,ylim
            ,Graphics`PlotField`ScaleFunction->(1&)
            ,DisplayFunction->Identity];
            
  plot2=ContourPlot[potential 
            ,xlim,ylim
            ,ContourShading->False
            ,ContourSmoothing->True
            ,DisplayFunction->Identity];
            
  Return[  Show[plot1,plot2
               ,DisplayFunction->$DisplayFunction]
         ]
];
(*
:[font = input; initialization; preserveAspect; endGroup]
*)
Protect[{Monopole,VEPlot}];
Off[Clear::wrsym];
(*
:[font = section; inactive; preserveAspect; cellOutline; backColorRed = 58981; backColorGreen = 58981; backColorBlue = 58981; startGroup]
**********************************
Single Charge: Monopole
:[font = text; inactive; preserveAspect]
 The Monopole[q,{x,y,z}] function places a single charge q 
  at position {x,y,z}.  An example would be:  Monopole[+1,{1,0,0}]
Let's look at the field due to a single charge located at the origin, {x,y,z}={0,0,0}. 

The function VEPlot automatically plots the electric field vector and the equipotential lines in the {x,y} plane. 
(This automatically plots the region from {-2,2}.)
;[s]
7:0,0;5,1;24,0;105,1;127,0;229,1;235,0;382,-1;
2:4,16,12,Monaco,0,12,0,0,0;3,13,10,Courier,1,12,0,0,0;
:[font = input; preserveAspect; startGroup]
Monopole[+1,{0,0,0}]
:[font = output; output; inactive; preserveAspect; endGroup]
(x^2 + y^2 + z^2)^(-1/2)
;[o]
        1
------------------
      2    2    2
Sqrt[x  + y  + z ]
:[font = input; preserveAspect; startGroup]
VEPlot[ Monopole[+1,{0,0,0}] ];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 282; endGroup; endGroup]
%!
%%Creator: Mathematica
%%AspectRatio: 1 
MathPictureStart
%% Graphics
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.489836 0.20326 0.489836 0.20326 [
[ 0 0 0 0 ]
[ 1 1 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
p
P
% Start of user PostScript
/mathtops {
gsave
MBeginOrig
moveto
MEndOrig
currentpoint
grestore
} bind def
/MAtocoords {
mathtops 4 2 roll mathtops
4 copy pop pop
3 -1 roll sub
/arry exch def
exch sub
/arrx exch def
arrx dup mul
arry dup mul
add sqrt
/arrl exch def
translate
} bind def
/MAarrowhead1 {
gsave
MAtocoords
[ arrx arrl div
arry arrl div
-1 arry mul arrl div
arrx arrl div
0 0 ]
concat
-0.0142857 0.00357143 moveto 0 0 lineto -0.0142857 -0.00357143 lineto fill
-0.0142857 0.00357143 moveto 0 0 lineto -0.0142857 -0.00357143 lineto
-0.0142857 0.00357143 lineto stroke
grestore
} def
% End of user PostScript
p
p
p
.004 w
.08332 .08332 m
.04123 .04123 L
s
% Start of user PostScript
-2. -2. -2.20708 -2.20708 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .14284 m
.03804 .1042 L
s
% Start of user PostScript
-2. -1.70714 -2.22275 -1.89727 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .20237 m
.03471 .168 L
s
% Start of user PostScript
-2. -1.41429 -2.23911 -1.58337 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .2619 m
.0314 .23278 L
s
% Start of user PostScript
-2. -1.12143 -2.25544 -1.26466 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .32142 m
.02832 .29864 L
s
% Start of user PostScript
-2. -0.828571 -2.27056 -0.94066 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .38095 m
.02582 .36555 L
s
% Start of user PostScript
-2. -0.535714 -2.28288 -0.611487 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .44047 m
.02422 .4333 L
s
% Start of user PostScript
-2. -0.242857 -2.29072 -0.278159 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .5 m
.02381 .50149 L
s
% Start of user PostScript
-2. 0.05 -2.29277 0.0573191 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .55953 m
.02465 .56958 L
s
% Start of user PostScript
-2. 0.342857 -2.28865 0.392339 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .61905 m
.02659 .63708 L
s
% Start of user PostScript
-2. 0.635714 -2.2791 0.724427 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .67858 m
.02933 .70364 L
s
% Start of user PostScript
-2. 0.928571 -2.26562 1.0519 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .7381 m
.03252 .76913 L
s
% Start of user PostScript
-2. 1.22143 -2.24993 1.37407 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .79763 m
.03586 .83356 L
s
% Start of user PostScript
-2. 1.51429 -2.23348 1.69107 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .85716 m
.03915 .89706 L
s
% Start of user PostScript
-2. 1.80714 -2.21729 2.00348 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08332 .91668 m
.04226 .95979 L
s
% Start of user PostScript
-2. 2.1 -2.20197 2.31207 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .08332 m
.1042 .03804 L
s
% Start of user PostScript
-1.70714 -2. -1.89727 -2.22275 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .14284 m
.10075 .10075 L
s
% Start of user PostScript
-1.70714 -1.70714 -1.91422 -1.91422 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .20237 m
.097 .16439 L
s
% Start of user PostScript
-1.70714 -1.41429 -1.93266 -1.60112 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .2619 m
.09309 .22921 L
s
% Start of user PostScript
-1.70714 -1.12143 -1.95191 -1.28222 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .32142 m
.08929 .29543 L
s
% Start of user PostScript
-1.70714 -0.828571 -1.97061 -0.956445 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .38095 m
.08605 .36312 L
s
% Start of user PostScript
-1.70714 -0.535714 -1.98656 -0.623399 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .44047 m
.08391 .43209 L
s
% Start of user PostScript
-1.70714 -0.242857 -1.99708 -0.284104 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .5 m
.08334 .50174 L
s
% Start of user PostScript
-1.70714 0.05 -1.99987 0.0585737 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .55953 m
.08448 .57125 L
s
% Start of user PostScript
-1.70714 0.342857 -1.99427 0.400522 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .61905 m
.08706 .63982 L
s
% Start of user PostScript
-1.70714 0.635714 -1.98159 0.737914 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .67858 m
.09055 .70702 L
s
% Start of user PostScript
-1.70714 0.928571 -1.96441 1.0685 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .7381 m
.09443 .77274 L
s
% Start of user PostScript
-1.70714 1.22143 -1.94532 1.39184 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .79763 m
.09831 .83713 L
s
% Start of user PostScript
-1.70714 1.51429 -1.92623 1.70862 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .85716 m
.10197 .90043 L
s
% Start of user PostScript
-1.70714 1.80714 -1.90825 2.02003 MAarrowhead1
% End of user PostScript
P
p
.004 w
.14284 .91668 m
.10529 .96287 L
s
% Start of user PostScript
-1.70714 2.1 -1.89187 2.32724 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .08332 m
.168 .03471 L
s
% Start of user PostScript
-1.41429 -2. -1.58337 -2.23911 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .14284 m
.16439 .097 L
s
% Start of user PostScript
-1.41429 -1.70714 -1.60112 -1.93266 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .20237 m
.16028 .16028 L
s
% Start of user PostScript
-1.41429 -1.41429 -1.62137 -1.62137 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .2619 m
.15573 .22491 L
s
% Start of user PostScript
-1.41429 -1.12143 -1.64376 -1.30338 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .32142 m
.15101 .29133 L
s
% Start of user PostScript
-1.41429 -0.828571 -1.66697 -0.976609 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .38095 m
.1467 .35986 L
s
% Start of user PostScript
-1.41429 -0.535714 -1.68815 -0.639452 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .44047 m
.1437 .4304 L
s
% Start of user PostScript
-1.41429 -0.242857 -1.70292 -0.29242 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .5 m
.14288 .5021 L
s
% Start of user PostScript
-1.41429 0.05 -1.70696 0.0603471 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .55953 m
.14452 .57355 L
s
% Start of user PostScript
-1.41429 0.342857 -1.6989 0.411854 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .61905 m
.14808 .64346 L
s
% Start of user PostScript
-1.41429 0.635714 -1.6814 0.75578 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .67858 m
.15261 .71125 L
s
% Start of user PostScript
-1.41429 0.928571 -1.65909 1.0893 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .7381 m
.15732 .77701 L
s
% Start of user PostScript
-1.41429 1.22143 -1.63593 1.41285 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .79763 m
.16174 .84113 L
s
% Start of user PostScript
-1.41429 1.51429 -1.61418 1.72831 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .85716 m
.16568 .90403 L
s
% Start of user PostScript
-1.41429 1.80714 -1.59478 2.03777 MAarrowhead1
% End of user PostScript
P
p
.004 w
.20237 .91668 m
.16912 .96605 L
s
% Start of user PostScript
-1.41429 2.1 -1.57788 2.34291 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .08332 m
.23278 .0314 L
s
% Start of user PostScript
-1.12143 -2. -1.26466 -2.25544 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .14284 m
.22921 .09309 L
s
% Start of user PostScript
-1.12143 -1.70714 -1.28222 -1.95191 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .20237 m
.22491 .15573 L
s
% Start of user PostScript
-1.12143 -1.41429 -1.30338 -1.64376 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .2619 m
.2198 .2198 L
s
% Start of user PostScript
-1.12143 -1.12143 -1.32851 -1.32851 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .32142 m
.21402 .28605 L
s
% Start of user PostScript
-1.12143 -0.828571 -1.35697 -1.0026 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .38095 m
.20818 .35529 L
s
% Start of user PostScript
-1.12143 -0.535714 -1.38568 -0.66195 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .44047 m
.20372 .42787 L
s
% Start of user PostScript
-1.12143 -0.242857 -1.40765 -0.304842 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .5 m
.20243 .50265 L
s
% Start of user PostScript
-1.12143 0.05 -1.414 0.0630444 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .55953 m
.20497 .57693 L
s
% Start of user PostScript
-1.12143 0.342857 -1.40149 0.428481 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .61905 m
.21011 .64841 L
s
% Start of user PostScript
-1.12143 0.635714 -1.3762 0.780137 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .67858 m
.21605 .71654 L
s
% Start of user PostScript
-1.12143 0.928571 -1.347 1.11535 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .7381 m
.22164 .78195 L
s
% Start of user PostScript
-1.12143 1.22143 -1.31949 1.43715 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .79763 m
.22647 .84547 L
s
% Start of user PostScript
-1.12143 1.51429 -1.29572 1.74963 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .85716 m
.23051 .90773 L
s
% Start of user PostScript
-1.12143 1.80714 -1.27585 2.05598 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2619 .91668 m
.23385 .96919 L
s
% Start of user PostScript
-1.12143 2.1 -1.25938 2.35833 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .08332 m
.29864 .02832 L
s
% Start of user PostScript
-0.828571 -2. -0.94066 -2.27056 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .14284 m
.29543 .08929 L
s
% Start of user PostScript
-0.828571 -1.70714 -0.956445 -1.97061 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .20237 m
.29133 .15101 L
s
% Start of user PostScript
-0.828571 -1.41429 -0.976609 -1.66697 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .2619 m
.28605 .21402 L
s
% Start of user PostScript
-0.828571 -1.12143 -1.0026 -1.35697 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .32142 m
.27933 .27933 L
s
% Start of user PostScript
-0.828571 -0.828571 -1.03565 -1.03565 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .38095 m
.27143 .34863 L
s
% Start of user PostScript
-0.828571 -0.535714 -1.0745 -0.694721 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .44047 m
.2643 .42373 L
s
% Start of user PostScript
-0.828571 -0.242857 -1.10961 -0.325229 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .5 m
.262 .50358 L
s
% Start of user PostScript
-0.828571 0.05 -1.1209 0.0676403 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .55953 m
.26642 .58229 L
s
% Start of user PostScript
-0.828571 0.342857 -1.09918 0.454832 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .61905 m
.27419 .65529 L
s
% Start of user PostScript
-0.828571 0.635714 -1.06092 0.813982 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .67858 m
.28179 .72299 L
s
% Start of user PostScript
-0.828571 0.928571 -1.02355 1.14708 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .7381 m
.288 .78736 L
s
% Start of user PostScript
-0.828571 1.22143 -0.992976 1.46378 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .79763 m
.29285 .84985 L
s
% Start of user PostScript
-0.828571 1.51429 -0.969146 1.7712 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .85716 m
.29661 .91126 L
s
% Start of user PostScript
-0.828571 1.80714 -0.950628 2.07335 MAarrowhead1
% End of user PostScript
P
p
.004 w
.32142 .91668 m
.29957 .97205 L
s
% Start of user PostScript
-0.828571 2.1 -0.936057 2.37242 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .08332 m
.36555 .02582 L
s
% Start of user PostScript
-0.535714 -2. -0.611487 -2.28288 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .14284 m
.36312 .08605 L
s
% Start of user PostScript
-0.535714 -1.70714 -0.623399 -1.98656 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .20237 m
.35986 .1467 L
s
% Start of user PostScript
-0.535714 -1.41429 -0.639452 -1.68815 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .2619 m
.35529 .20818 L
s
% Start of user PostScript
-0.535714 -1.12143 -0.66195 -1.38568 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .32142 m
.34863 .27143 L
s
% Start of user PostScript
-0.535714 -0.828571 -0.694721 -1.0745 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .38095 m
.33886 .33886 L
s
% Start of user PostScript
-0.535714 -0.535714 -0.742796 -0.742796 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .44047 m
.32673 .4159 L
s
% Start of user PostScript
-0.535714 -0.242857 -0.802443 -0.363774 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .5 m
.32168 .50553 L
s
% Start of user PostScript
-0.535714 0.05 -0.827304 0.0772151 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .55953 m
.33081 .59161 L
s
% Start of user PostScript
-0.535714 0.342857 -0.782379 0.500723 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .61905 m
.34259 .66457 L
s
% Start of user PostScript
-0.535714 0.635714 -0.724432 0.859659 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .67858 m
.3512 .73014 L
s
% Start of user PostScript
-0.535714 0.928571 -0.682062 1.18224 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .7381 m
.35704 .79262 L
s
% Start of user PostScript
-0.535714 1.22143 -0.653344 1.48962 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .79763 m
.36109 .85375 L
s
% Start of user PostScript
-0.535714 1.51429 -0.633387 1.79037 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .85716 m
.36403 .91423 L
s
% Start of user PostScript
-0.535714 1.80714 -0.618949 2.08792 MAarrowhead1
% End of user PostScript
P
p
.004 w
.38095 .91668 m
.36623 .97436 L
s
% Start of user PostScript
-0.535714 2.1 -0.608104 2.38377 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .08332 m
.4333 .02422 L
s
% Start of user PostScript
-0.242857 -2. -0.278159 -2.29072 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .14284 m
.43209 .08391 L
s
% Start of user PostScript
-0.242857 -1.70714 -0.284104 -1.99708 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .20237 m
.4304 .1437 L
s
% Start of user PostScript
-0.242857 -1.41429 -0.29242 -1.70292 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .2619 m
.42787 .20372 L
s
% Start of user PostScript
-0.242857 -1.12143 -0.304842 -1.40765 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .32142 m
.42373 .2643 L
s
% Start of user PostScript
-0.242857 -0.828571 -0.325229 -1.10961 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .38095 m
.4159 .32673 L
s
% Start of user PostScript
-0.242857 -0.535714 -0.363774 -0.802443 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .44047 m
.39838 .39838 L
s
% Start of user PostScript
-0.242857 -0.242857 -0.449938 -0.449938 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .5 m
.38217 .512 L
s
% Start of user PostScript
-0.242857 0.05 -0.529698 0.109055 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .55953 m
.40607 .6081 L
s
% Start of user PostScript
-0.242857 0.342857 -0.412134 0.581836 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .61905 m
.41923 .67466 L
s
% Start of user PostScript
-0.242857 0.635714 -0.347369 0.909288 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .67858 m
.42541 .73617 L
s
% Start of user PostScript
-0.242857 0.928571 -0.316958 1.2119 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .7381 m
.42886 .79649 L
s
% Start of user PostScript
-0.242857 1.22143 -0.299968 1.50866 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .79763 m
.43105 .8564 L
s
% Start of user PostScript
-0.242857 1.51429 -0.289232 1.80345 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .85716 m
.43254 .91615 L
s
% Start of user PostScript
-0.242857 1.80714 -0.281863 2.09739 MAarrowhead1
% End of user PostScript
P
p
.004 w
.44047 .91668 m
.43363 .97581 L
s
% Start of user PostScript
-0.242857 2.1 -0.276501 2.39092 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .08332 m
.50149 .02381 L
s
% Start of user PostScript
0.05 -2. 0.0573191 -2.29277 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .14284 m
.50174 .08334 L
s
% Start of user PostScript
0.05 -1.70714 0.0585737 -1.99987 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .20237 m
.5021 .14288 L
s
% Start of user PostScript
0.05 -1.41429 0.0603471 -1.70696 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .2619 m
.50265 .20243 L
s
% Start of user PostScript
0.05 -1.12143 0.0630444 -1.414 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .32142 m
.50358 .262 L
s
% Start of user PostScript
0.05 -0.828571 0.0676403 -1.1209 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .38095 m
.50553 .32168 L
s
% Start of user PostScript
0.05 -0.535714 0.0772151 -0.827304 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .44047 m
.512 .38217 L
s
% Start of user PostScript
0.05 -0.242857 0.109055 -0.529698 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .5 m
.54209 .54209 L
s
% Start of user PostScript
0.05 0.05 0.257081 0.257081 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .55953 m
.50859 .61843 L
s
% Start of user PostScript
0.05 0.342857 0.0922613 0.632649 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .61905 m
.50467 .67839 L
s
% Start of user PostScript
0.05 0.635714 0.0729628 0.92767 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .67858 m
.5032 .73802 L
s
% Start of user PostScript
0.05 0.928571 0.0657464 1.221 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .7381 m
.50243 .79758 L
s
% Start of user PostScript
0.05 1.22143 0.0619783 1.51404 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .79763 m
.50196 .85712 L
s
% Start of user PostScript
0.05 1.51429 0.0596645 1.80698 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .85716 m
.50165 .91666 L
s
% Start of user PostScript
0.05 1.80714 0.0580997 2.09989 MAarrowhead1
% End of user PostScript
P
p
.004 w
.5 .91668 m
.50142 .97619 L
s
% Start of user PostScript
0.05 2.1 0.0569708 2.39277 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .08332 m
.56958 .02465 L
s
% Start of user PostScript
0.342857 -2. 0.392339 -2.28865 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .14284 m
.57125 .08448 L
s
% Start of user PostScript
0.342857 -1.70714 0.400522 -1.99427 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .20237 m
.57355 .14452 L
s
% Start of user PostScript
0.342857 -1.41429 0.411854 -1.6989 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .2619 m
.57693 .20497 L
s
% Start of user PostScript
0.342857 -1.12143 0.428481 -1.40149 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .32142 m
.58229 .26642 L
s
% Start of user PostScript
0.342857 -0.828571 0.454832 -1.09918 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .38095 m
.59161 .33081 L
s
% Start of user PostScript
0.342857 -0.535714 0.500723 -0.782379 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .44047 m
.6081 .40607 L
s
% Start of user PostScript
0.342857 -0.242857 0.581836 -0.412134 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .5 m
.61843 .50859 L
s
% Start of user PostScript
0.342857 0.05 0.632649 0.0922613 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .55953 m
.60162 .60162 L
s
% Start of user PostScript
0.342857 0.342857 0.549938 0.549938 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .61905 m
.58778 .67144 L
s
% Start of user PostScript
0.342857 0.635714 0.481873 0.893473 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .67858 m
.58014 .73442 L
s
% Start of user PostScript
0.342857 0.928571 0.444295 1.2033 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .7381 m
.57561 .79541 L
s
% Start of user PostScript
0.342857 1.22143 0.422004 1.50339 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .79763 m
.57267 .85569 L
s
% Start of user PostScript
0.342857 1.51429 0.407528 1.79991 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .85716 m
.57062 .91564 L
s
% Start of user PostScript
0.342857 1.80714 0.397445 2.09487 MAarrowhead1
% End of user PostScript
P
p
.004 w
.55953 .91668 m
.56912 .97543 L
s
% Start of user PostScript
0.342857 2.1 0.390046 2.38903 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .08332 m
.63708 .02659 L
s
% Start of user PostScript
0.635714 -2. 0.724427 -2.2791 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .14284 m
.63982 .08706 L
s
% Start of user PostScript
0.635714 -1.70714 0.737914 -1.98159 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .20237 m
.64346 .14808 L
s
% Start of user PostScript
0.635714 -1.41429 0.75578 -1.6814 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .2619 m
.64841 .21011 L
s
% Start of user PostScript
0.635714 -1.12143 0.780137 -1.3762 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .32142 m
.65529 .27419 L
s
% Start of user PostScript
0.635714 -0.828571 0.813982 -1.06092 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .38095 m
.66457 .34259 L
s
% Start of user PostScript
0.635714 -0.535714 0.859659 -0.724432 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .44047 m
.67466 .41923 L
s
% Start of user PostScript
0.635714 -0.242857 0.909288 -0.347369 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .5 m
.67839 .50467 L
s
% Start of user PostScript
0.635714 0.05 0.92767 0.0729628 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .55953 m
.67144 .58778 L
s
% Start of user PostScript
0.635714 0.342857 0.893473 0.481873 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .61905 m
.66114 .66114 L
s
% Start of user PostScript
0.635714 0.635714 0.842796 0.842796 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .67858 m
.65268 .7277 L
s
% Start of user PostScript
0.635714 0.928571 0.801153 1.17022 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .7381 m
.64653 .79091 L
s
% Start of user PostScript
0.635714 1.22143 0.77092 1.48121 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .79763 m
.64209 .85251 L
s
% Start of user PostScript
0.635714 1.51429 0.749075 1.78431 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .85716 m
.6388 .91331 L
s
% Start of user PostScript
0.635714 1.80714 0.732897 2.0834 MAarrowhead1
% End of user PostScript
P
p
.004 w
.61905 .91668 m
.6363 .97365 L
s
% Start of user PostScript
0.635714 2.1 0.720566 2.3803 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .08332 m
.70364 .02933 L
s
% Start of user PostScript
0.928571 -2. 1.0519 -2.26562 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .14284 m
.70702 .09055 L
s
% Start of user PostScript
0.928571 -1.70714 1.0685 -1.96441 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .20237 m
.71125 .15261 L
s
% Start of user PostScript
0.928571 -1.41429 1.0893 -1.65909 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .2619 m
.71654 .21605 L
s
% Start of user PostScript
0.928571 -1.12143 1.11535 -1.347 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .32142 m
.72299 .28179 L
s
% Start of user PostScript
0.928571 -0.828571 1.14708 -1.02355 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .38095 m
.73014 .3512 L
s
% Start of user PostScript
0.928571 -0.535714 1.18224 -0.682062 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .44047 m
.73617 .42541 L
s
% Start of user PostScript
0.928571 -0.242857 1.2119 -0.316958 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .5 m
.73802 .5032 L
s
% Start of user PostScript
0.928571 0.05 1.221 0.0657464 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .55953 m
.73442 .58014 L
s
% Start of user PostScript
0.928571 0.342857 1.2033 0.444295 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .61905 m
.7277 .65268 L
s
% Start of user PostScript
0.928571 0.635714 1.17022 0.801153 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .67858 m
.72067 .72067 L
s
% Start of user PostScript
0.928571 0.928571 1.13565 1.13565 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .7381 m
.7146 .78549 L
s
% Start of user PostScript
0.928571 1.22143 1.10581 1.45456 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .79763 m
.70969 .84837 L
s
% Start of user PostScript
0.928571 1.51429 1.08166 1.76394 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .85716 m
.70578 .9101 L
s
% Start of user PostScript
0.928571 1.80714 1.06242 2.06762 MAarrowhead1
% End of user PostScript
P
p
.004 w
.67858 .91668 m
.70265 .97112 L
s
% Start of user PostScript
0.928571 2.1 1.047 2.36784 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .08332 m
.76913 .03252 L
s
% Start of user PostScript
1.22143 -2. 1.37407 -2.24993 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .14284 m
.77274 .09443 L
s
% Start of user PostScript
1.22143 -1.70714 1.39184 -1.94532 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .20237 m
.77701 .15732 L
s
% Start of user PostScript
1.22143 -1.41429 1.41285 -1.63593 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .2619 m
.78195 .22164 L
s
% Start of user PostScript
1.22143 -1.12143 1.43715 -1.31949 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .32142 m
.78736 .288 L
s
% Start of user PostScript
1.22143 -0.828571 1.46378 -0.992976 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .38095 m
.79262 .35704 L
s
% Start of user PostScript
1.22143 -0.535714 1.48962 -0.653344 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .44047 m
.79649 .42886 L
s
% Start of user PostScript
1.22143 -0.242857 1.50866 -0.299968 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .5 m
.79758 .50243 L
s
% Start of user PostScript
1.22143 0.05 1.51404 0.0619783 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .55953 m
.79541 .57561 L
s
% Start of user PostScript
1.22143 0.342857 1.50339 0.422004 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .61905 m
.79091 .64653 L
s
% Start of user PostScript
1.22143 0.635714 1.48121 0.77092 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .67858 m
.78549 .7146 L
s
% Start of user PostScript
1.22143 0.928571 1.45456 1.10581 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .7381 m
.78019 .78019 L
s
% Start of user PostScript
1.22143 1.22143 1.42851 1.42851 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .79763 m
.77548 .84396 L
s
% Start of user PostScript
1.22143 1.51429 1.40529 1.74223 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .85716 m
.77144 .90647 L
s
% Start of user PostScript
1.22143 1.80714 1.38542 2.04978 MAarrowhead1
% End of user PostScript
P
p
.004 w
.7381 .91668 m
.76803 .96814 L
s
% Start of user PostScript
1.22143 2.1 1.36867 2.35315 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .08332 m
.83356 .03586 L
s
% Start of user PostScript
1.51429 -2. 1.69107 -2.23348 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .14284 m
.83713 .09831 L
s
% Start of user PostScript
1.51429 -1.70714 1.70862 -1.92623 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .20237 m
.84113 .16174 L
s
% Start of user PostScript
1.51429 -1.41429 1.72831 -1.61418 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .2619 m
.84547 .22647 L
s
% Start of user PostScript
1.51429 -1.12143 1.74963 -1.29572 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .32142 m
.84985 .29285 L
s
% Start of user PostScript
1.51429 -0.828571 1.7712 -0.969146 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .38095 m
.85375 .36109 L
s
% Start of user PostScript
1.51429 -0.535714 1.79037 -0.633387 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .44047 m
.8564 .43105 L
s
% Start of user PostScript
1.51429 -0.242857 1.80345 -0.289232 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .5 m
.85712 .50196 L
s
% Start of user PostScript
1.51429 0.05 1.80698 0.0596645 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .55953 m
.85569 .57267 L
s
% Start of user PostScript
1.51429 0.342857 1.79991 0.407528 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .61905 m
.85251 .64209 L
s
% Start of user PostScript
1.51429 0.635714 1.78431 0.749075 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .67858 m
.84837 .70969 L
s
% Start of user PostScript
1.51429 0.928571 1.76394 1.08166 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .7381 m
.84396 .77548 L
s
% Start of user PostScript
1.51429 1.22143 1.74223 1.40529 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .79763 m
.83972 .83972 L
s
% Start of user PostScript
1.51429 1.51429 1.72137 1.72137 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .85716 m
.83586 .90278 L
s
% Start of user PostScript
1.51429 1.80714 1.70238 2.03161 MAarrowhead1
% End of user PostScript
P
p
.004 w
.79763 .91668 m
.83245 .96496 L
s
% Start of user PostScript
1.51429 2.1 1.68557 2.33754 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .08332 m
.89706 .03915 L
s
% Start of user PostScript
1.80714 -2. 2.00348 -2.21729 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .14284 m
.90043 .10197 L
s
% Start of user PostScript
1.80714 -1.70714 2.02003 -1.90825 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .20237 m
.90403 .16568 L
s
% Start of user PostScript
1.80714 -1.41429 2.03777 -1.59478 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .2619 m
.90773 .23051 L
s
% Start of user PostScript
1.80714 -1.12143 2.05598 -1.27585 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .32142 m
.91126 .29661 L
s
% Start of user PostScript
1.80714 -0.828571 2.07335 -0.950628 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .38095 m
.91423 .36403 L
s
% Start of user PostScript
1.80714 -0.535714 2.08792 -0.618949 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .44047 m
.91615 .43254 L
s
% Start of user PostScript
1.80714 -0.242857 2.09739 -0.281863 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .5 m
.91666 .50165 L
s
% Start of user PostScript
1.80714 0.05 2.09989 0.0580997 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .55953 m
.91564 .57062 L
s
% Start of user PostScript
1.80714 0.342857 2.09487 0.397445 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .61905 m
.91331 .6388 L
s
% Start of user PostScript
1.80714 0.635714 2.0834 0.732897 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .67858 m
.9101 .70578 L
s
% Start of user PostScript
1.80714 0.928571 2.06762 1.06242 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .7381 m
.90647 .77144 L
s
% Start of user PostScript
1.80714 1.22143 2.04978 1.38542 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .79763 m
.90278 .83586 L
s
% Start of user PostScript
1.80714 1.51429 2.03161 1.70238 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .85716 m
.89925 .89925 L
s
% Start of user PostScript
1.80714 1.80714 2.01422 2.01422 MAarrowhead1
% End of user PostScript
P
p
.004 w
.85716 .91668 m
.89598 .9618 L
s
% Start of user PostScript
1.80714 2.1 1.99817 2.32198 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .08332 m
.95979 .04226 L
s
% Start of user PostScript
2.1 -2. 2.31207 -2.20197 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .14284 m
.96287 .10529 L
s
% Start of user PostScript
2.1 -1.70714 2.32724 -1.89187 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .20237 m
.96605 .16912 L
s
% Start of user PostScript
2.1 -1.41429 2.34291 -1.57788 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .2619 m
.96919 .23385 L
s
% Start of user PostScript
2.1 -1.12143 2.35833 -1.25938 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .32142 m
.97205 .29957 L
s
% Start of user PostScript
2.1 -0.828571 2.37242 -0.936057 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .38095 m
.97436 .36623 L
s
% Start of user PostScript
2.1 -0.535714 2.38377 -0.608104 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .44047 m
.97581 .43363 L
s
% Start of user PostScript
2.1 -0.242857 2.39092 -0.276501 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .5 m
.97619 .50142 L
s
% Start of user PostScript
2.1 0.05 2.39277 0.0569708 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .55953 m
.97543 .56912 L
s
% Start of user PostScript
2.1 0.342857 2.38903 0.390046 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .61905 m
.97365 .6363 L
s
% Start of user PostScript
2.1 0.635714 2.3803 0.720566 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .67858 m
.97112 .70265 L
s
% Start of user PostScript
2.1 0.928571 2.36784 1.047 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .7381 m
.96814 .76803 L
s
% Start of user PostScript
2.1 1.22143 2.35315 1.36867 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .79763 m
.96496 .83245 L
s
% Start of user PostScript
2.1 1.51429 2.33754 1.68557 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .85716 m
.9618 .89598 L
s
% Start of user PostScript
2.1 1.80714 2.32198 1.99817 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91668 .91668 m
.95877 .95877 L
s
% Start of user PostScript
2.1 2.1 2.30708 2.30708 MAarrowhead1
% End of user PostScript
P
P
p
p
.001 w
.44047 .3767 m
.5 .36866 L
.54922 .38095 L
.55953 .38684 L
.60223 .44047 L
.58494 .5 L
.59158 .55953 L
.55953 .59158 L
.5 .58494 L
.44047 .60223 L
.38684 .55953 L
.38095 .54922 L
.36866 .5 L
.3767 .44047 L
.38095 .42507 L
.42507 .38095 L
.44047 .3767 L
s
P
p
.001 w
.44047 .36568 m
.5 .35908 L
.55953 .37463 L
.57065 .38095 L
.6153 .44047 L
.61905 .45166 L
.62369 .5 L
.61905 .52827 L
.60502 .55953 L
.55953 .60502 L
.52827 .61905 L
.5 .62369 L
.45166 .61905 L
.44047 .6153 L
.38095 .57065 L
.37463 .55953 L
.35908 .5 L
.36568 .44047 L
.38095 .40211 L
.40211 .38095 L
.44047 .36568 L
s
P
p
.001 w
.44047 .35159 m
.5 .34651 L
.55953 .36004 L
.5915 .38095 L
.61905 .40696 L
.62873 .44047 L
.63596 .5 L
.6206 .55953 L
.61905 .56304 L
.56304 .61905 L
.55953 .6206 L
.5 .63596 L
.44047 .62873 L
.40696 .61905 L
.38095 .5915 L
.36004 .55953 L
.34651 .5 L
.35159 .44047 L
.38095 .38655 L
.38655 .38095 L
.44047 .35159 L
s
P
p
.001 w
.38095 .36702 m
.44047 .33385 L
.5 .32769 L
.55953 .34185 L
.6131 .38095 L
.61905 .38496 L
.64529 .44047 L
.65231 .5 L
.63775 .55953 L
.61905 .5931 L
.5931 .61905 L
.55953 .63775 L
.5 .65231 L
.44047 .64529 L
.38496 .61905 L
.38095 .6131 L
.34185 .55953 L
.32769 .5 L
.33385 .44047 L
.36702 .38095 L
.38095 .36702 L
s
P
p
.001 w
.44047 .31284 m
.5 .30675 L
.55953 .31942 L
.56545 .32142 L
.61905 .3586 L
.63806 .38095 L
.66676 .44047 L
.67346 .5 L
.65972 .55953 L
.6211 .61905 L
.61905 .6211 L
.55953 .65972 L
.5 .67346 L
.44047 .66676 L
.38095 .63806 L
.3586 .61905 L
.32142 .56545 L
.31942 .55953 L
.30675 .5 L
.31284 .44047 L
.32142 .40186 L
.34153 .38095 L
.38095 .34153 L
.40186 .32142 L
.44047 .31284 L
s
P
p
.001 w
.38095 .31098 m
.44047 .28679 L
.5 .28114 L
.55953 .29276 L
.61525 .32142 L
.61905 .32484 L
.66875 .38095 L
.67858 .38667 L
.69303 .44047 L
.69849 .5 L
.68721 .55953 L
.67858 .58437 L
.65467 .61905 L
.61905 .65467 L
.58437 .67858 L
.55953 .68721 L
.5 .69849 L
.44047 .69303 L
.38667 .67858 L
.38095 .66875 L
.32484 .61905 L
.32142 .61525 L
.29276 .55953 L
.28114 .5 L
.28679 .44047 L
.31098 .38095 L
.32142 .3648 L
.3648 .32142 L
.38095 .31098 L
s
P
p
.001 w
.44047 .25206 m
.5 .24733 L
.55953 .25708 L
.57753 .2619 L
.61905 .28415 L
.66514 .32142 L
.67858 .33635 L
.70686 .38095 L
.72761 .44047 L
.73255 .5 L
.72241 .55953 L
.69553 .61905 L
.67858 .64318 L
.64318 .67858 L
.61905 .69553 L
.55953 .72241 L
.5 .73255 L
.44047 .72761 L
.38095 .70686 L
.33635 .67858 L
.32142 .66514 L
.28415 .61905 L
.2619 .57753 L
.25708 .55953 L
.24733 .5 L
.25206 .44047 L
.2619 .40545 L
.27267 .38095 L
.31459 .32142 L
.32142 .31459 L
.38095 .27267 L
.40545 .2619 L
.44047 .25206 L
s
P
p
.001 w
.5 .20074 m
.52173 .20237 L
.55953 .20914 L
.61905 .23117 L
.66816 .2619 L
.67858 .27059 L
.725 .32142 L
.7381 .34058 L
.75768 .38095 L
.77464 .44047 L
.77872 .5 L
.77037 .55953 L
.74858 .61905 L
.7381 .63874 L
.70903 .67858 L
.67858 .70903 L
.63874 .7381 L
.61905 .74858 L
.55953 .77037 L
.5 .77872 L
.44047 .77464 L
.38095 .75768 L
.34058 .7381 L
.32142 .725 L
.27059 .67858 L
.2619 .66816 L
.23117 .61905 L
.20914 .55953 L
.20237 .52173 L
.20074 .5 L
.20237 .45796 L
.20481 .44047 L
.22198 .38095 L
.25465 .32142 L
.2619 .31164 L
.31164 .2619 L
.32142 .25465 L
.38095 .22198 L
.44047 .20481 L
.45796 .20237 L
.5 .20074 L
s
P
p
.001 w
.44047 .13595 m
.5 .13263 L
.55953 .13942 L
.57898 .14284 L
.61905 .15685 L
.67858 .18657 L
.70203 .20237 L
.7381 .23296 L
.76488 .2619 L
.79763 .30835 L
.80486 .32142 L
.82996 .38095 L
.84356 .44047 L
.84686 .5 L
.84011 .55953 L
.82279 .61905 L
.79763 .67142 L
.79314 .67858 L
.74671 .7381 L
.7381 .74671 L
.67858 .79314 L
.67142 .79763 L
.61905 .82279 L
.55953 .84011 L
.5 .84686 L
.44047 .84356 L
.38095 .82996 L
.32142 .80486 L
.30835 .79763 L
.2619 .76488 L
.23296 .7381 L
.20237 .70203 L
.18657 .67858 L
.15685 .61905 L
.14284 .57898 L
.13942 .55953 L
.13263 .5 L
.13595 .44047 L
.14284 .40497 L
.14963 .38095 L
.17487 .32142 L
.20237 .27762 L
.21478 .2619 L
.2619 .21478 L
.27762 .20237 L
.32142 .17487 L
.38095 .14963 L
.40497 .14284 L
.44047 .13595 L
s
P
p
.001 w
.91668 .67905 m
.88531 .7381 L
.85716 .77809 L
.84091 .79763 L
.79763 .84091 L
.77809 .85716 L
.7381 .88531 L
.67905 .91668 L
s
P
p
.001 w
.08332 .71964 m
.09438 .7381 L
.13875 .79763 L
.14284 .80223 L
.20161 .85716 L
.20237 .85775 L
.2619 .89737 L
.30034 .91668 L
s
P
p
.001 w
.91668 .30034 m
.89737 .2619 L
.85775 .20237 L
.85716 .20161 L
.80223 .14284 L
.79763 .13875 L
.7381 .09438 L
.71964 .08332 L
s
P
p
.001 w
.08332 .26018 m
.12191 .20237 L
.14284 .17744 L
.17744 .14284 L
.20237 .12191 L
.26018 .08332 L
s
P
P
P
0 0 m
1 0 L
1 1 L
0 1 L
closepath
clip
newpath
% End of Graphics
MathPictureEnd

:[font = section; inactive; pageBreak; preserveAspect; cellOutline; backColorRed = 58981; backColorGreen = 58981; backColorBlue = 58981; startGroup]
**********************************
Two Charges: Dipole
:[font = text; inactive; preserveAspect]
We can create a dipole from two Monopole functions:
(Notice that the signs are opposite)
:[font = input; preserveAspect; startGroup]
dipole= Monopole[+1,{1,0,0}]+Monopole[-1,{-1,0,0}]
:[font = output; output; inactive; preserveAspect; endGroup]
-((-1 - x)^2 + y^2 + z^2)^(-1/2) + ((1 - x)^2 + y^2 + z^2)^(-1/2)
;[o]
              1                           1
-(-------------------------) + ------------------------
               2    2    2                 2    2    2
  Sqrt[(-1 - x)  + y  + z ]    Sqrt[(1 - x)  + y  + z ]
:[font = input; preserveAspect; startGroup]
VEPlot[dipole];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 36; pictureTop = 74; pictureWidth = 206; pictureHeight = 218; endGroup; endGroup]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06649 
MathPictureStart
%% Graphics
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.457449 0.21682 0.522332 0.21682 [
[ 0 0 0 0 ]
[ 1 1.06649 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
p
P
% Start of user PostScript
/mathtops {
gsave
MBeginOrig
moveto
MEndOrig
currentpoint
grestore
} bind def
/MAtocoords {
mathtops 4 2 roll mathtops
4 copy pop pop
3 -1 roll sub
/arry exch def
exch sub
/arrx exch def
arrx dup mul
arry dup mul
add sqrt
/arrl exch def
translate
} bind def
/MAarrowhead1 {
gsave
MAtocoords
[ arrx arrl div
arry arrl div
-1 arry mul arrl div
arrx arrl div
0 0 ]
concat
-0.0142857 0.00357143 moveto 0 0 lineto -0.0142857 -0.00357143 lineto fill
-0.0142857 0.00357143 moveto 0 0 lineto -0.0142857 -0.00357143 lineto
-0.0142857 0.00357143 lineto stroke
grestore
} def
% End of user PostScript
p
p
p
.004 w
.02381 .08869 m
.03547 .15111 L
s
% Start of user PostScript
-2. -2. -1.94624 -1.71212 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .15219 m
.04283 .21277 L
s
% Start of user PostScript
-2. -1.70714 -1.91227 -1.42773 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .21569 m
.05092 .2731 L
s
% Start of user PostScript
-2. -1.41429 -1.87496 -1.14947 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .27918 m
.05974 .33154 L
s
% Start of user PostScript
-2. -1.12143 -1.83427 -0.879975 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .34268 m
.0691 .38718 L
s
% Start of user PostScript
-2. -0.828571 -1.7911 -0.623324 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .40618 m
.07823 .43889 L
s
% Start of user PostScript
-2. -0.535714 -1.749 -0.384836 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .46968 m
.08519 .48594 L
s
% Start of user PostScript
-2. -0.242857 -1.71691 -0.167862 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .53317 m
.08721 .52974 L
s
% Start of user PostScript
-2. 0.05 -1.70757 0.0341556 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .59667 m
.08323 .57429 L
s
% Start of user PostScript
-2. 0.342857 -1.72594 0.239636 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .66017 m
.07523 .62292 L
s
% Start of user PostScript
-2. 0.635714 -1.76283 0.463906 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .72367 m
.06588 .6761 L
s
% Start of user PostScript
-2. 0.928571 -1.80599 0.709199 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .78716 m
.05665 .73282 L
s
% Start of user PostScript
-2. 1.22143 -1.84852 0.970791 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .85066 m
.04807 .79198 L
s
% Start of user PostScript
-2. 1.51429 -1.88808 1.24366 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .91416 m
.04024 .85282 L
s
% Start of user PostScript
-2. 1.80714 -1.92424 1.52426 MAarrowhead1
% End of user PostScript
P
p
.004 w
.02381 .97765 m
.03311 .91484 L
s
% Start of user PostScript
-2. 2.1 -1.9571 1.8103 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .08869 m
.08855 .15218 L
s
% Start of user PostScript
-1.70714 -2. -1.7014 -1.7072 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .15219 m
.0958 .21512 L
s
% Start of user PostScript
-1.70714 -1.70714 -1.66796 -1.41692 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .21569 m
.10398 .27696 L
s
% Start of user PostScript
-1.70714 -1.41429 -1.63023 -1.13171 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .27918 m
.11329 .33712 L
s
% Start of user PostScript
-1.70714 -1.12143 -1.58729 -0.854219 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .34268 m
.12399 .39451 L
s
% Start of user PostScript
-1.70714 -0.828571 -1.53797 -0.589516 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .40618 m
.13595 .44699 L
s
% Start of user PostScript
-1.70714 -0.535714 -1.48281 -0.347465 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .46968 m
.14695 .49147 L
s
% Start of user PostScript
-1.70714 -0.242857 -1.43207 -0.142346 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .53317 m
.15063 .52845 L
s
% Start of user PostScript
-1.70714 0.05 -1.4151 0.0282247 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .59667 m
.14362 .56734 L
s
% Start of user PostScript
-1.70714 0.342857 -1.44741 0.207562 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .66017 m
.13178 .61485 L
s
% Start of user PostScript
-1.70714 0.635714 -1.50202 0.426691 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .72367 m
.12017 .66933 L
s
% Start of user PostScript
-1.70714 0.928571 -1.55558 0.677982 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .78716 m
.10997 .72785 L
s
% Start of user PostScript
-1.70714 1.22143 -1.60261 0.947861 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .85066 m
.10107 .78867 L
s
% Start of user PostScript
-1.70714 1.51429 -1.64364 1.2284 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .91416 m
.09323 .85094 L
s
% Start of user PostScript
-1.70714 1.80714 -1.67982 1.51556 MAarrowhead1
% End of user PostScript
P
p
.004 w
.08731 .97765 m
.08626 .91417 L
s
% Start of user PostScript
-1.70714 2.1 -1.71196 1.80718 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .08869 m
.13986 .15124 L
s
% Start of user PostScript
-1.41429 -2. -1.46478 -1.71153 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .15219 m
.14649 .21554 L
s
% Start of user PostScript
-1.41429 -1.70714 -1.4342 -1.41496 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .21569 m
.15404 .2791 L
s
% Start of user PostScript
-1.41429 -1.41429 -1.39938 -1.12181 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .27918 m
.16276 .34154 L
s
% Start of user PostScript
-1.41429 -1.12143 -1.35912 -0.833814 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .34268 m
.1733 .40206 L
s
% Start of user PostScript
-1.41429 -0.828571 -1.31054 -0.554706 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .40618 m
.18704 .45832 L
s
% Start of user PostScript
-1.41429 -0.535714 -1.24714 -0.29524 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .46968 m
.20503 .50271 L
s
% Start of user PostScript
-1.41429 -0.242857 -1.16418 -0.0904982 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .53317 m
.21382 .52537 L
s
% Start of user PostScript
-1.41429 0.05 -1.12365 0.014022 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .59667 m
.19863 .5549 L
s
% Start of user PostScript
-1.41429 0.342857 -1.1937 0.150223 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .66017 m
.18186 .60479 L
s
% Start of user PostScript
-1.41429 0.635714 -1.27104 0.380282 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .72367 m
.16943 .66296 L
s
% Start of user PostScript
-1.41429 0.928571 -1.32837 0.6486 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .78716 m
.15962 .72428 L
s
% Start of user PostScript
-1.41429 1.22143 -1.37361 0.93141 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .85066 m
.15134 .78716 L
s
% Start of user PostScript
-1.41429 1.51429 -1.4118 1.22144 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .91416 m
.14413 .85101 L
s
% Start of user PostScript
-1.41429 1.80714 -1.44509 1.51591 MAarrowhead1
% End of user PostScript
P
p
.004 w
.1508 .97765 m
.13778 .91551 L
s
% Start of user PostScript
-1.41429 2.1 -1.47436 1.81337 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .08869 m
.18972 .14724 L
s
% Start of user PostScript
-1.12143 -2. -1.2348 -1.72998 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .15219 m
.19518 .21274 L
s
% Start of user PostScript
-1.12143 -1.70714 -1.20962 -1.42788 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .21569 m
.20131 .27784 L
s
% Start of user PostScript
-1.12143 -1.41429 -1.18136 -1.12763 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .27918 m
.20808 .34238 L
s
% Start of user PostScript
-1.12143 -1.12143 -1.15012 -0.82998 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .34268 m
.21559 .40617 L
s
% Start of user PostScript
-1.12143 -0.828571 -1.11549 -0.535774 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .40618 m
.22474 .46881 L
s
% Start of user PostScript
-1.12143 -0.535714 -1.07329 -0.246841 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .46968 m
.24192 .52685 L
s
% Start of user PostScript
-1.12143 -0.242857 -0.994051 0.0208476 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .53317 m
.27298 .50892 L
s
% Start of user PostScript
-1.12143 0.05 -0.850784 -0.0618787 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .59667 m
.23397 .5363 L
s
% Start of user PostScript
-1.12143 0.342857 -1.03072 0.064401 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .66017 m
.22127 .59705 L
s
% Start of user PostScript
-1.12143 0.635714 -1.08927 0.344628 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .72367 m
.21292 .66018 L
s
% Start of user PostScript
-1.12143 0.928571 -1.1278 0.635784 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .78716 m
.2057 .72425 L
s
% Start of user PostScript
-1.12143 1.22143 -1.16112 0.931274 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .85066 m
.19914 .789 L
s
% Start of user PostScript
-1.12143 1.51429 -1.19135 1.2299 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .91416 m
.19324 .85425 L
s
% Start of user PostScript
-1.12143 1.80714 -1.21857 1.53087 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2143 .97765 m
.18801 .91985 L
s
% Start of user PostScript
-1.12143 2.1 -1.24268 1.83342 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .08869 m
.23905 .13899 L
s
% Start of user PostScript
-0.828571 -2. -1.00731 -1.76801 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .15219 m
.24288 .20522 L
s
% Start of user PostScript
-0.828571 -1.70714 -0.989617 -1.46254 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .21569 m
.24706 .27125 L
s
% Start of user PostScript
-0.828571 -1.41429 -0.970364 -1.15804 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .27918 m
.25114 .33682 L
s
% Start of user PostScript
-0.828571 -1.12143 -0.951503 -0.855622 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .34268 m
.2541 .40159 L
s
% Start of user PostScript
-0.828571 -0.828571 -0.937861 -0.556871 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .40618 m
.25328 .46475 L
s
% Start of user PostScript
-0.828571 -0.535714 -0.941647 -0.265568 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .46968 m
.24001 .52071 L
s
% Start of user PostScript
-0.828571 -0.242857 -1.00285 -0.00750181 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .53317 m
.21679 .51557 L
s
% Start of user PostScript
-0.828571 0.05 -1.10995 -0.0311868 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .59667 m
.24714 .54107 L
s
% Start of user PostScript
-0.828571 0.342857 -0.969995 0.0864109 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .66017 m
.25429 .60118 L
s
% Start of user PostScript
-0.828571 0.635714 -0.936984 0.363663 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .72367 m
.25333 .66507 L
s
% Start of user PostScript
-0.828571 0.928571 -0.941421 0.65833 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .78716 m
.2498 .73017 L
s
% Start of user PostScript
-0.828571 1.22143 -0.957687 0.95857 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .85066 m
.24561 .79593 L
s
% Start of user PostScript
-0.828571 1.51429 -0.977032 1.26185 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .91416 m
.24152 .86204 L
s
% Start of user PostScript
-0.828571 1.80714 -0.995883 1.56678 MAarrowhead1
% End of user PostScript
P
p
.004 w
.2778 .97765 m
.23784 .9283 L
s
% Start of user PostScript
-0.828571 2.1 -1.01285 1.87239 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .08869 m
.28956 .12551 L
s
% Start of user PostScript
-0.535714 -2. -0.774324 -1.8302 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .15219 m
.29157 .19168 L
s
% Start of user PostScript
-0.535714 -1.70714 -0.765058 -1.52503 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .21569 m
.2937 .25772 L
s
% Start of user PostScript
-0.535714 -1.41429 -0.755219 -1.22042 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .27918 m
.29551 .32318 L
s
% Start of user PostScript
-0.535714 -1.12143 -0.746887 -0.918521 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .34268 m
.29586 .38704 L
s
% Start of user PostScript
-0.535714 -0.828571 -0.745277 -0.624002 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .40618 m
.29245 .44675 L
s
% Start of user PostScript
-0.535714 -0.535714 -0.760976 -0.348572 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .46968 m
.28332 .49557 L
s
% Start of user PostScript
-0.535714 -0.242857 -0.803123 -0.123451 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .53317 m
.27809 .52712 L
s
% Start of user PostScript
-0.535714 0.05 -0.827237 0.0220789 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .59667 m
.28693 .56386 L
s
% Start of user PostScript
-0.535714 0.342857 -0.786448 0.191537 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .66017 m
.29423 .61755 L
s
% Start of user PostScript
-0.535714 0.635714 -0.752795 0.43914 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .72367 m
.29602 .67915 L
s
% Start of user PostScript
-0.535714 0.928571 -0.744541 0.723251 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .78716 m
.29498 .74373 L
s
% Start of user PostScript
-0.535714 1.22143 -0.749331 1.0211 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .85066 m
.29298 .80946 L
s
% Start of user PostScript
-0.535714 1.51429 -0.758558 1.32427 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .91416 m
.29086 .87558 L
s
% Start of user PostScript
-0.535714 1.80714 -0.768338 1.62923 MAarrowhead1
% End of user PostScript
P
p
.004 w
.3413 .97765 m
.28893 .94174 L
s
% Start of user PostScript
-0.535714 2.1 -0.777218 1.93435 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .08869 m
.34393 .10679 L
s
% Start of user PostScript
-0.242857 -2. -0.523572 -1.91655 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .15219 m
.34441 .17184 L
s
% Start of user PostScript
-0.242857 -1.70714 -0.521334 -1.6165 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .21569 m
.34493 .23685 L
s
% Start of user PostScript
-0.242857 -1.41429 -0.518966 -1.31667 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .27918 m
.34533 .30145 L
s
% Start of user PostScript
-0.242857 -1.12143 -0.517122 -1.01875 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .34268 m
.34527 .36479 L
s
% Start of user PostScript
-0.242857 -0.828571 -0.517392 -0.72661 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .40618 m
.34421 .4252 L
s
% Start of user PostScript
-0.242857 -0.535714 -0.522268 -0.447994 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .46968 m
.34221 .48042 L
s
% Start of user PostScript
-0.242857 -0.242857 -0.531495 -0.193322 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .53317 m
.34134 .53081 L
s
% Start of user PostScript
-0.242857 0.05 -0.535512 0.0391167 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .59667 m
.34291 .58242 L
s
% Start of user PostScript
-0.242857 0.342857 -0.528247 0.277147 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .66017 m
.34471 .63962 L
s
% Start of user PostScript
-0.242857 0.635714 -0.519956 0.540945 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .72367 m
.34537 .70128 L
s
% Start of user PostScript
-0.242857 0.928571 -0.516912 0.825329 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .78716 m
.34522 .76519 L
s
% Start of user PostScript
-0.242857 1.22143 -0.517619 1.12008 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .85066 m
.34475 .82999 L
s
% Start of user PostScript
-0.242857 1.51429 -0.519763 1.41895 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .91416 m
.34424 .89504 L
s
% Start of user PostScript
-0.242857 1.80714 -0.522128 1.71898 MAarrowhead1
% End of user PostScript
P
p
.004 w
.40479 .97765 m
.34378 .96007 L
s
% Start of user PostScript
-0.242857 2.1 -0.524266 2.01892 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .08869 m
.40491 .08489 L
s
% Start of user PostScript
0.05 -2. -0.242331 -2.01755 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .15219 m
.40493 .14804 L
s
% Start of user PostScript
0.05 -1.70714 -0.242231 -1.72628 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .21569 m
.40495 .2112 L
s
% Start of user PostScript
0.05 -1.41429 -0.242126 -1.43497 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .27918 m
.40497 .27446 L
s
% Start of user PostScript
0.05 -1.12143 -0.242045 -1.14322 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .34268 m
.40497 .33801 L
s
% Start of user PostScript
0.05 -0.828571 -0.242063 -0.850127 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .40618 m
.40492 .40222 L
s
% Start of user PostScript
0.05 -0.535714 -0.242286 -0.553989 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .46968 m
.40483 .46749 L
s
% Start of user PostScript
0.05 -0.242857 -0.242684 -0.252936 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .53317 m
.40479 .53365 L
s
% Start of user PostScript
0.05 0.05 -0.242849 0.0521927 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .59667 m
.40486 .59959 L
s
% Start of user PostScript
0.05 0.342857 -0.242547 0.356335 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .66017 m
.40494 .66448 L
s
% Start of user PostScript
0.05 0.635714 -0.242182 0.655586 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .72367 m
.40497 .72841 L
s
% Start of user PostScript
0.05 0.928571 -0.242039 0.950447 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .78716 m
.40496 .79182 L
s
% Start of user PostScript
0.05 1.22143 -0.242067 1.24293 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .85066 m
.40494 .85503 L
s
% Start of user PostScript
0.05 1.51429 -0.242161 1.53446 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .91416 m
.40492 .91819 L
s
% Start of user PostScript
0.05 1.80714 -0.242267 1.82573 MAarrowhead1
% End of user PostScript
P
p
.004 w
.46829 .97765 m
.4049 .98135 L
s
% Start of user PostScript
0.05 2.1 -0.242361 2.11704 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .08869 m
.47342 .06369 L
s
% Start of user PostScript
0.342857 -2. 0.0736506 -2.1153 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .15219 m
.47434 .12513 L
s
% Start of user PostScript
0.342857 -1.70714 0.0779175 -1.83193 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .21569 m
.47532 .18664 L
s
% Start of user PostScript
0.342857 -1.41429 0.0824281 -1.54823 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .27918 m
.4761 .24868 L
s
% Start of user PostScript
0.342857 -1.12143 0.086008 -1.26212 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .34268 m
.47605 .31227 L
s
% Start of user PostScript
0.342857 -0.828571 0.0857782 -0.968842 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .40618 m
.47412 .3796 L
s
% Start of user PostScript
0.342857 -0.535714 0.0768884 -0.658295 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .46968 m
.47019 .45426 L
s
% Start of user PostScript
0.342857 -0.242857 0.0587668 -0.313977 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .53317 m
.46838 .5366 L
s
% Start of user PostScript
0.342857 0.05 0.0504273 0.0658135 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .59667 m
.47161 .61693 L
s
% Start of user PostScript
0.342857 0.342857 0.0653092 0.436305 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .66017 m
.47505 .68868 L
s
% Start of user PostScript
0.342857 0.635714 0.0811883 0.767224 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .72367 m
.47622 .75439 L
s
% Start of user PostScript
0.342857 0.928571 0.0865621 1.07027 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .78716 m
.47588 .81727 L
s
% Start of user PostScript
0.342857 1.22143 0.0850221 1.3603 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .85066 m
.47499 .87905 L
s
% Start of user PostScript
0.342857 1.51429 0.0809081 1.64524 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .91416 m
.47402 .94051 L
s
% Start of user PostScript
0.342857 1.80714 0.0764047 1.92867 MAarrowhead1
% End of user PostScript
P
p
.004 w
.53179 .97765 m
.47313 1.00197 L
s
% Start of user PostScript
0.342857 2.1 0.0723251 2.21215 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .08869 m
.5477 .04665 L
s
% Start of user PostScript
0.635714 -2. 0.416245 -2.1939 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .15219 m
.55033 .10734 L
s
% Start of user PostScript
0.635714 -1.70714 0.428382 -1.91397 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .21569 m
.55314 .16819 L
s
% Start of user PostScript
0.635714 -1.41429 0.44135 -1.63335 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .27918 m
.55564 .22959 L
s
% Start of user PostScript
0.635714 -1.12143 0.452854 -1.35018 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .34268 m
.55656 .29236 L
s
% Start of user PostScript
0.635714 -0.828571 0.45709 -1.06065 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .40618 m
.55306 .35875 L
s
% Start of user PostScript
0.635714 -0.535714 0.440981 -0.754447 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .46968 m
.54093 .43685 L
s
% Start of user PostScript
0.635714 -0.242857 0.385031 -0.394261 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .53317 m
.53231 .5413 L
s
% Start of user PostScript
0.635714 0.05 0.345268 0.0875027 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .59667 m
.54612 .63686 L
s
% Start of user PostScript
0.635714 0.342857 0.408979 0.528212 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .66017 m
.55502 .70927 L
s
% Start of user PostScript
0.635714 0.635714 0.450023 0.862175 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .72367 m
.55655 .77398 L
s
% Start of user PostScript
0.635714 0.928571 0.457067 1.16063 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .78716 m
.55488 .83614 L
s
% Start of user PostScript
0.635714 1.22143 0.449346 1.44733 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .85066 m
.55218 .89729 L
s
% Start of user PostScript
0.635714 1.51429 0.436923 1.72934 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .91416 m
.5494 .95805 L
s
% Start of user PostScript
0.635714 1.80714 0.424087 2.00958 MAarrowhead1
% End of user PostScript
P
p
.004 w
.59529 .97765 m
.54688 1.01875 L
s
% Start of user PostScript
0.635714 2.1 0.412446 2.28952 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .08869 m
.62484 .03503 L
s
% Start of user PostScript
0.928571 -2. 0.772035 -2.24751 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .15219 m
.62927 .09597 L
s
% Start of user PostScript
0.928571 -1.70714 0.792459 -1.96645 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .21569 m
.63414 .15716 L
s
% Start of user PostScript
0.928571 -1.41429 0.81494 -1.6842 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .27918 m
.63916 .2188 L
s
% Start of user PostScript
0.928571 -1.12143 0.838055 -1.39995 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .34268 m
.6436 .28103 L
s
% Start of user PostScript
0.928571 -0.828571 0.858536 -1.11293 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .40618 m
.64583 .34402 L
s
% Start of user PostScript
0.928571 -0.535714 0.86885 -0.822417 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .46968 m
.63985 .40907 L
s
% Start of user PostScript
0.928571 -0.242857 0.841258 -0.522396 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .53317 m
.60672 .56952 L
s
% Start of user PostScript
0.928571 0.05 0.68845 0.217652 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .59667 m
.64386 .65839 L
s
% Start of user PostScript
0.928571 0.342857 0.859725 0.627507 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .66017 m
.6455 .72226 L
s
% Start of user PostScript
0.928571 0.635714 0.867316 0.922094 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .72367 m
.64222 .78496 L
s
% Start of user PostScript
0.928571 0.928571 0.852166 1.21129 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .78716 m
.63746 .84697 L
s
% Start of user PostScript
0.928571 1.22143 0.830241 1.49728 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .85066 m
.63244 .90844 L
s
% Start of user PostScript
0.928571 1.51429 0.807094 1.78076 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .91416 m
.6277 .96953 L
s
% Start of user PostScript
0.928571 1.80714 0.785216 2.06251 MAarrowhead1
% End of user PostScript
P
p
.004 w
.65878 .97765 m
.62345 1.03042 L
s
% Start of user PostScript
0.928571 2.1 0.765633 2.34334 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .08869 m
.70247 .02836 L
s
% Start of user PostScript
1.22143 -2. 1.13008 -2.27825 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .15219 m
.70839 .09023 L
s
% Start of user PostScript
1.22143 -1.70714 1.15737 -1.99291 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .21569 m
.71508 .1526 L
s
% Start of user PostScript
1.22143 -1.41429 1.18824 -1.70526 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .27918 m
.72266 .21569 L
s
% Start of user PostScript
1.22143 -1.12143 1.2232 -1.41428 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .34268 m
.73153 .27986 L
s
% Start of user PostScript
1.22143 -0.828571 1.26411 -1.1183 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .40618 m
.74333 .34627 L
s
% Start of user PostScript
1.22143 -0.535714 1.31851 -0.812011 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .46968 m
.76437 .42214 L
s
% Start of user PostScript
1.22143 -0.242857 1.41557 -0.462112 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .53317 m
.78419 .54729 L
s
% Start of user PostScript
1.22143 0.05 1.50696 0.115102 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .59667 m
.75537 .65086 L
s
% Start of user PostScript
1.22143 0.342857 1.37406 0.592793 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .66017 m
.73875 .72149 L
s
% Start of user PostScript
1.22143 0.635714 1.29738 0.918551 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .72367 m
.7283 .78688 L
s
% Start of user PostScript
1.22143 0.928571 1.24921 1.22011 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .78716 m
.71996 .85062 L
s
% Start of user PostScript
1.22143 1.22143 1.21074 1.51409 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .85066 m
.71271 .91343 L
s
% Start of user PostScript
1.22143 1.51429 1.17728 1.8038 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .91416 m
.70629 .97561 L
s
% Start of user PostScript
1.22143 1.80714 1.14766 2.09056 MAarrowhead1
% End of user PostScript
P
p
.004 w
.72228 .97765 m
.70062 1.03734 L
s
% Start of user PostScript
1.22143 2.1 1.12154 2.3753 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .08869 m
.77918 .02554 L
s
% Start of user PostScript
1.51429 -2. 1.48386 -2.29127 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .15219 m
.78608 .08869 L
s
% Start of user PostScript
1.51429 -1.70714 1.51571 -2. MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .21569 m
.79394 .15272 L
s
% Start of user PostScript
1.51429 -1.41429 1.55194 -1.70471 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .27918 m
.80302 .21807 L
s
% Start of user PostScript
1.51429 -1.12143 1.59383 -1.40328 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .34268 m
.81389 .28574 L
s
% Start of user PostScript
1.51429 -0.828571 1.64393 -1.09117 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .40618 m
.82739 .35822 L
s
% Start of user PostScript
1.51429 -0.535714 1.70623 -0.756901 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .46968 m
.8427 .44153 L
s
% Start of user PostScript
1.51429 -0.242857 1.77681 -0.372654 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .53317 m
.84895 .53953 L
s
% Start of user PostScript
1.51429 0.05 1.80567 0.0793271 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .59667 m
.83763 .63333 L
s
% Start of user PostScript
1.51429 0.342857 1.75342 0.511918 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .66017 m
.82244 .71201 L
s
% Start of user PostScript
1.51429 0.635714 1.68338 0.874822 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .72367 m
.80993 .78239 L
s
% Start of user PostScript
1.51429 0.928571 1.62566 1.19942 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .78716 m
.79976 .8491 L
s
% Start of user PostScript
1.51429 1.22143 1.57877 1.5071 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .85066 m
.79114 .91393 L
s
% Start of user PostScript
1.51429 1.51429 1.53902 1.8061 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .91416 m
.78363 .97762 L
s
% Start of user PostScript
1.51429 1.80714 1.50438 2.09983 MAarrowhead1
% End of user PostScript
P
p
.004 w
.78578 .97765 m
.77701 1.04054 L
s
% Start of user PostScript
1.51429 2.1 1.47387 2.39005 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .08869 m
.85428 .02539 L
s
% Start of user PostScript
1.80714 -2. 1.83023 -2.29195 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .15219 m
.86162 .0899 L
s
% Start of user PostScript
1.80714 -1.70714 1.86409 -1.99441 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .21569 m
.86984 .15561 L
s
% Start of user PostScript
1.80714 -1.41429 1.90199 -1.69136 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .27918 m
.87907 .22311 L
s
% Start of user PostScript
1.80714 -1.12143 1.94458 -1.38003 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .34268 m
.8894 .29347 L
s
% Start of user PostScript
1.80714 -0.828571 1.9922 -1.05555 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .40618 m
.90037 .36848 L
s
% Start of user PostScript
1.80714 -0.535714 2.0428 -0.709586 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .46968 m
.9097 .45016 L
s
% Start of user PostScript
1.80714 -0.242857 2.08583 -0.332844 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .53317 m
.91263 .53735 L
s
% Start of user PostScript
1.80714 0.05 2.09937 0.0692713 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .59667 m
.90697 .6232 L
s
% Start of user PostScript
1.80714 0.342857 2.07322 0.465199 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .66017 m
.89663 .70246 L
s
% Start of user PostScript
1.80714 0.635714 2.02557 0.830787 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .72367 m
.88576 .77564 L
s
% Start of user PostScript
1.80714 0.928571 1.97541 1.16826 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .78716 m
.8758 .84485 L
s
% Start of user PostScript
1.80714 1.22143 1.92947 1.48751 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .85066 m
.86693 .91165 L
s
% Start of user PostScript
1.80714 1.51429 1.88856 1.7956 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .91416 m
.85902 .9769 L
s
% Start of user PostScript
1.80714 1.80714 1.8521 2.09653 MAarrowhead1
% End of user PostScript
P
p
.004 w
.84927 .97765 m
.85195 1.04109 L
s
% Start of user PostScript
1.80714 2.1 1.8195 2.3926 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .08869 m
.92757 .02694 L
s
% Start of user PostScript
2.1 -2. 2.16825 -2.28479 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .15219 m
.93488 .09266 L
s
% Start of user PostScript
2.1 -1.70714 2.20196 -1.98168 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .21569 m
.94282 .15975 L
s
% Start of user PostScript
2.1 -1.41429 2.23859 -1.67227 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .27918 m
.95134 .22874 L
s
% Start of user PostScript
2.1 -1.12143 2.27787 -1.35408 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .34268 m
.96014 .3004 L
s
% Start of user PostScript
2.1 -0.828571 2.31849 -1.02358 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .40618 m
.96842 .3756 L
s
% Start of user PostScript
2.1 -0.535714 2.35667 -0.67674 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .46968 m
.97448 .45469 L
s
% Start of user PostScript
2.1 -0.242857 2.38459 -0.31196 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .53317 m
.97619 .53632 L
s
% Start of user PostScript
2.1 0.05 2.3925 0.0645347 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .59667 m
.9728 .61738 L
s
% Start of user PostScript
2.1 0.342857 2.37685 0.438366 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .66017 m
.96574 .69518 L
s
% Start of user PostScript
2.1 0.635714 2.3443 0.797217 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .72367 m
.95714 .76909 L
s
% Start of user PostScript
2.1 0.928571 2.30463 1.13808 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .78716 m
.94837 .83974 L
s
% Start of user PostScript
2.1 1.22143 2.26421 1.46392 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .85066 m
.94004 .908 L
s
% Start of user PostScript
2.1 1.51429 2.22576 1.77877 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .91416 m
.93231 .97457 L
s
% Start of user PostScript
2.1 1.80714 2.19012 2.08579 MAarrowhead1
% End of user PostScript
P
p
.004 w
.91277 .97765 m
.92522 1.03992 L
s
% Start of user PostScript
2.1 2.1 2.1574 2.38718 MAarrowhead1
% End of user PostScript
P
P
p
p
.001 w
.65878 .42757 m
.72228 .43542 L
.76222 .46968 L
.77752 .53317 L
.75251 .59667 L
.72228 .60841 L
.65878 .60987 L
.61202 .59667 L
.59529 .57505 L
.58778 .53317 L
.59529 .47084 L
.59571 .46968 L
.65878 .42757 L
s
P
p
.001 w
.65878 .4044 m
.71277 .40618 L
.72228 .40888 L
.78578 .45882 L
.7887 .46968 L
.79794 .53317 L
.78578 .58192 L
.77793 .59667 L
.72228 .63311 L
.65878 .62216 L
.59529 .603 L
.58949 .59667 L
.57885 .53317 L
.57654 .46968 L
.59529 .43848 L
.65063 .40618 L
.65878 .4044 L
s
P
p
.001 w
.59529 .40438 m
.65878 .37644 L
.72228 .37435 L
.78578 .40404 L
.78828 .40618 L
.82963 .46968 L
.8354 .53317 L
.82003 .59667 L
.78578 .64116 L
.75755 .66017 L
.72228 .67103 L
.65878 .67055 L
.62421 .66017 L
.59529 .63951 L
.56067 .59667 L
.56438 .53317 L
.55191 .46968 L
.59273 .40618 L
.59529 .40438 L
s
P
p
.001 w
.91277 .56771 m
.90539 .59667 L
.86954 .66017 L
.84927 .68196 L
.78578 .72315 L
.78457 .72367 L
.72228 .73702 L
.65878 .73055 L
.63717 .72367 L
.59529 .69804 L
.55579 .66017 L
.53179 .61503 L
.52561 .59667 L
.51628 .53317 L
.51968 .46968 L
.53179 .42215 L
.54282 .40618 L
.59529 .3453 L
.59858 .34268 L
.65878 .31508 L
.72228 .30793 L
.78578 .32212 L
.82548 .34268 L
.84927 .36252 L
.88528 .40618 L
.91145 .46968 L
.91277 .4765 L
s
P
p
.001 w
.91277 .91019 m
.90008 .91416 L
.84927 .92507 L
.78578 .92768 L
.72228 .91746 L
.70622 .91416 L
.65878 .89214 L
.59761 .85066 L
.59529 .84784 L
.54356 .78716 L
.53179 .76536 L
.51179 .72367 L
.49254 .66017 L
.48204 .59667 L
.47945 .53317 L
.48 .46968 L
.48813 .40618 L
.504 .34268 L
.53139 .27918 L
.53179 .27851 L
.57567 .21569 L
.59529 .19749 L
.65835 .15219 L
.65878 .15198 L
.72228 .12677 L
.78578 .11677 L
.84927 .11942 L
.91277 .13433 L
s
P
p
.001 w
.02381 .94491 m
.08731 .95244 L
.1508 .94834 L
.2143 .93132 L
.25621 .91416 L
.2778 .89781 L
.33447 .85066 L
.3413 .84174 L
.38048 .78716 L
.40479 .73304 L
.40844 .72367 L
.42575 .66017 L
.43531 .59667 L
.43907 .53317 L
.43721 .46968 L
.42974 .40618 L
.41542 .34268 L
.40479 .31199 L
.39163 .27918 L
.35234 .21569 L
.3413 .20321 L
.2867 .15219 L
.2778 .14623 L
.2143 .1131 L
.1508 .09652 L
.08731 .09246 L
.02381 .09981 L
s
P
p
.001 w
.02381 .64329 m
.03808 .66017 L
.08731 .70682 L
.10939 .72367 L
.1508 .7357 L
.2143 .74166 L
.2778 .72771 L
.29201 .72367 L
.3413 .68296 L
.36164 .66017 L
.39155 .59667 L
.4016 .53317 L
.39681 .46968 L
.37481 .40618 L
.3413 .36121 L
.33191 .34268 L
.2778 .31822 L
.2143 .30298 L
.1508 .30922 L
.08731 .33778 L
.08144 .34268 L
.02381 .40468 L
s
P
p
.001 w
.1508 .38669 m
.2143 .37018 L
.2778 .37944 L
.32526 .40618 L
.3413 .42161 L
.36499 .46968 L
.37309 .53317 L
.35578 .59667 L
.3413 .61941 L
.2955 .66017 L
.2778 .66687 L
.2143 .67582 L
.15284 .66017 L
.1508 .65898 L
.09055 .59667 L
.08731 .59041 L
.04158 .53317 L
.08026 .46968 L
.08731 .44463 L
.12247 .40618 L
.1508 .38669 L
s
P
p
.001 w
.2143 .40223 m
.26673 .40618 L
.2778 .41005 L
.3403 .46968 L
.3413 .475 L
.35069 .53317 L
.3413 .57022 L
.32877 .59667 L
.2778 .63358 L
.2143 .63617 L
.1508 .61202 L
.13815 .59667 L
.12508 .53317 L
.12682 .46968 L
.1508 .42865 L
.19478 .40618 L
.2143 .40223 L
s
P
p
.001 w
.2143 .42186 m
.2778 .43591 L
.33308 .46968 L
.33301 .53317 L
.30578 .59667 L
.2778 .61263 L
.2143 .61582 L
.16598 .59667 L
.1508 .57511 L
.14166 .53317 L
.1508 .46996 L
.1509 .46968 L
.2143 .42186 L
s
P
P
P
0 0 m
1 0 L
1 1.06649 L
0 1.06649 L
closepath
clip
newpath
% End of Graphics
MathPictureEnd

:[font = section; inactive; preserveAspect; cellOutline; backColorRed = 58981; backColorGreen = 58981; backColorBlue = 58981]
**********************************
Your Assignment:

1) Modify the dipole solution above for the case where the two charges are the same sign. 

2) Make a configuration of charges of your own choice. Plot the fields. 

3) Hand in the plot of the fields for 1) and 2). 

(Hint: Use the PRINT SELECTION command from the FILE menu to print only the parts you want.)
;[s]
3:0,0;53,1;270,2;363,-1;
3:1,19,14,Times,1,18,0,0,0;1,16,12,Times,1,14,0,0,0;1,13,9,Times,1,12,0,0,0;
^*)