(***********************************************************************

                    Mathematica-Compatible Notebook

This notebook can be used on any computer system with Mathematica 4.0,
MathReader 4.0, or any compatible application. The data for the notebook 
starts with the line containing stars above.

To get the notebook into a Mathematica-compatible application, do one of 
the following:

* Save the data starting with the line of stars above into a file
  with a name ending in .nb, then open the file inside the application;

* Copy the data starting with the line of stars above to the
  clipboard, then use the Paste menu command inside the application.

Data for notebooks contains only printable 7-bit ASCII and can be
sent directly in email or through ftp in text mode.  Newlines can be
CR, LF or CRLF (Unix, Macintosh or MS-DOS style).

NOTE: If you modify the data for this notebook not in a Mathematica-
compatible application, you must delete the line below containing the 
word CacheID, otherwise Mathematica-compatible applications may try to 
use invalid cache data.

For more information on notebooks and Mathematica-compatible 
applications, contact Wolfram Research:
  web: http://www.wolfram.com
  email: info@wolfram.com
  phone: +1-217-398-0700 (U.S.)

Notebook reader applications are available free of charge from 
Wolfram Research.
***********************************************************************)

(*CacheID: 232*)


(*NotebookFileLineBreakTest
NotebookFileLineBreakTest*)
(*NotebookOptionsPosition[     19531,        543]*)
(*NotebookOutlinePosition[     20376,        570]*)
(*  CellTagsIndexPosition[     20332,        566]*)
(*WindowFrame->Normal*)



Notebook[{
Cell[BoxData[{
    \(\(M\  = \ 
        0.5 {{\(-1\), 3, \(-3\), 1}, {2, \(-5\), 4, \(-1\)}, {\(-1\), 0, 1, 
              0}, {0, 2, 0, 0}};\)\), "\[IndentingNewLine]", 
    \(Clear[u]; U = {u^3, u^2, u, 1};\), "\[IndentingNewLine]", 
    \(\(B\  = \ {P1, P2, P3, P4};\)\[IndentingNewLine]\)}], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(MatrixForm[M]\), "\[IndentingNewLine]", 
    \(MatrixForm[B]\)}], "Input"],

Cell[BoxData[
    TagBox[
      RowBox[{"(", "\[NoBreak]", GridBox[{
            {\(-0.5`\), "1.5`", \(-1.5`\), "0.5`"},
            {"1.`", \(-2.5`\), "2.`", \(-0.5`\)},
            {\(-0.5`\), "0", "0.5`", "0"},
            {"0", "1.`", "0", "0"}
            }], "\[NoBreak]", ")"}],
      (MatrixForm[ #]&)]], "Output"],

Cell[BoxData[
    TagBox[
      RowBox[{"(", "\[NoBreak]", GridBox[{
            {"0", "0"},
            {"1", "1"},
            {"2", "0"},
            {"3", "2"}
            }], "\[NoBreak]", ")"}],
      (MatrixForm[ #]&)]], "Output"]
}, Open  ]],

Cell[BoxData[{
    \(\(P1 = {0, 0};\)\), "\[IndentingNewLine]", 
    \(\(P2 = {1, 1};\)\), "\[IndentingNewLine]", 
    \(\(P3 = {2, 0};\)\), "\[IndentingNewLine]", 
    \(\(P4 = {3, 2};\)\)}], "Input"],

Cell[BoxData[
    \(For[u = 0; plist = {}, u \[LessEqual] 1.0, u = u + 0.05, 
      plist = Append[plist, U . M . B]]\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(plist\)], "Input"],

Cell[BoxData[
    \({{1.`, 1.`}, {1.05`, 0.9915625`}, {1.1`, 
        0.9675`}, {1.1500000000000001`, 0.9296875`}, {1.2`, 
        0.8799999999999999`}, {1.25`, 0.8203125`}, {1.2999999999999998`, 
        0.7525`}, {1.35`, 0.6784375`}, {1.4000000000000001`, 
        0.6000000000000001`}, {1.45`, 0.5190625000000001`}, {1.5`, 
        0.4375000000000001`}, {1.55`, 
        0.35718750000000005`}, {1.5999999999999999`, 
        0.28`}, {1.6500000000000001`, 
        0.20781249999999996`}, {1.7000000000000002`, 
        0.14249999999999985`}, {1.7500000000000002`, 
        0.08593749999999978`}, {1.8`, 0.0399999999999997`}, {1.85`, 
        0.006562499999999916`}, {1.9000000000000004`, \
\(-0.012500000000000067`\)}, {1.95`, \(-0.01531249999999984`\)}, {2.`, 
        0.`}}\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Graphics[{PointSize[0.025], Thickness[0.01], Line[plist], Point[P1], 
        Point[P2], Point[P3], Point[P4]}]\)], "Input"],

Cell[BoxData[
    TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
      False,
      Editable->False]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Show[%, Axes \[Rule] Automatic]\)], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.31746 0.0191874 0.292066 [
[.18254 .00669 -9 -9 ]
[.18254 .00669 9 0 ]
[.34127 .00669 -3 -9 ]
[.34127 .00669 3 0 ]
[.5 .00669 -9 -9 ]
[.5 .00669 9 0 ]
[.65873 .00669 -3 -9 ]
[.65873 .00669 3 0 ]
[.81746 .00669 -9 -9 ]
[.81746 .00669 9 0 ]
[.97619 .00669 -3 -9 ]
[.97619 .00669 3 0 ]
[.01131 .16522 -18 -4.5 ]
[.01131 .16522 0 4.5 ]
[.01131 .31125 -6 -4.5 ]
[.01131 .31125 0 4.5 ]
[.01131 .45729 -18 -4.5 ]
[.01131 .45729 0 4.5 ]
[.01131 .60332 -6 -4.5 ]
[.01131 .60332 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.18254 .01919 m
.18254 .02544 L
s
[(0.5)] .18254 .00669 0 1 Mshowa
.34127 .01919 m
.34127 .02544 L
s
[(1)] .34127 .00669 0 1 Mshowa
.5 .01919 m
.5 .02544 L
s
[(1.5)] .5 .00669 0 1 Mshowa
.65873 .01919 m
.65873 .02544 L
s
[(2)] .65873 .00669 0 1 Mshowa
.81746 .01919 m
.81746 .02544 L
s
[(2.5)] .81746 .00669 0 1 Mshowa
.97619 .01919 m
.97619 .02544 L
s
[(3)] .97619 .00669 0 1 Mshowa
.125 Mabswid
.05556 .01919 m
.05556 .02294 L
s
.0873 .01919 m
.0873 .02294 L
s
.11905 .01919 m
.11905 .02294 L
s
.15079 .01919 m
.15079 .02294 L
s
.21429 .01919 m
.21429 .02294 L
s
.24603 .01919 m
.24603 .02294 L
s
.27778 .01919 m
.27778 .02294 L
s
.30952 .01919 m
.30952 .02294 L
s
.37302 .01919 m
.37302 .02294 L
s
.40476 .01919 m
.40476 .02294 L
s
.43651 .01919 m
.43651 .02294 L
s
.46825 .01919 m
.46825 .02294 L
s
.53175 .01919 m
.53175 .02294 L
s
.56349 .01919 m
.56349 .02294 L
s
.59524 .01919 m
.59524 .02294 L
s
.62698 .01919 m
.62698 .02294 L
s
.69048 .01919 m
.69048 .02294 L
s
.72222 .01919 m
.72222 .02294 L
s
.75397 .01919 m
.75397 .02294 L
s
.78571 .01919 m
.78571 .02294 L
s
.84921 .01919 m
.84921 .02294 L
s
.88095 .01919 m
.88095 .02294 L
s
.9127 .01919 m
.9127 .02294 L
s
.94444 .01919 m
.94444 .02294 L
s
.25 Mabswid
0 .01919 m
1 .01919 L
s
.02381 .16522 m
.03006 .16522 L
s
[(0.5)] .01131 .16522 1 0 Mshowa
.02381 .31125 m
.03006 .31125 L
s
[(1)] .01131 .31125 1 0 Mshowa
.02381 .45729 m
.03006 .45729 L
s
[(1.5)] .01131 .45729 1 0 Mshowa
.02381 .60332 m
.03006 .60332 L
s
[(2)] .01131 .60332 1 0 Mshowa
.125 Mabswid
.02381 .04839 m
.02756 .04839 L
s
.02381 .0776 m
.02756 .0776 L
s
.02381 .10681 m
.02756 .10681 L
s
.02381 .13601 m
.02756 .13601 L
s
.02381 .19443 m
.02756 .19443 L
s
.02381 .22363 m
.02756 .22363 L
s
.02381 .25284 m
.02756 .25284 L
s
.02381 .28205 m
.02756 .28205 L
s
.02381 .34046 m
.02756 .34046 L
s
.02381 .36967 m
.02756 .36967 L
s
.02381 .39887 m
.02756 .39887 L
s
.02381 .42808 m
.02756 .42808 L
s
.02381 .48649 m
.02756 .48649 L
s
.02381 .5157 m
.02756 .5157 L
s
.02381 .54491 m
.02756 .54491 L
s
.02381 .57411 m
.02756 .57411 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
.01 w
.34127 .31125 m
.35714 .30879 L
.37302 .30176 L
.38889 .29072 L
.40476 .27621 L
.42063 .25877 L
.43651 .23897 L
.45238 .21734 L
.46825 .19443 L
.48413 .17079 L
.5 .14697 L
.51587 .12351 L
.53175 .10097 L
.54762 .07988 L
.56349 .06081 L
.57937 .04429 L
.59524 .03087 L
.61111 .0211 L
.62698 .01554 L
.64286 .01472 L
.65873 .01919 L
s
.025 w
.02381 .01919 Mdot
.34127 .31125 Mdot
.65873 .01919 Mdot
.97619 .60332 Mdot
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003oo`3ooolQ
0?ooo`00>@3oool2000000@0oooo00<000000?ooo`3oool00P3oool300000280oooo0`00000R0?oo
o`<00000103oool00`000000oooo0?ooo`020?ooo`<000008P3oool500000200oooo1@0000030?oo
o`030000003oool0oooo0080oooo0`00000R0?ooo`<000001`3oool003P0oooo00@000000?ooo`3o
ool000001`3oool01@000000oooo0?ooo`3oool000000280oooo00<000000?ooo`3oool08P3oool0
0`000000oooo0?ooo`070?ooo`050000003oool0oooo0?ooo`0000008P3oool010000000oooo0?oo
o`00000Q0?ooo`040000003oool0oooo000000L0oooo00D000000?ooo`3oool0oooo0000000P0?oo
o`050000003oool0oooo0?ooo`0000001P3oool003P0oooo00@000000?ooo`3oool000002`3oool0
0`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool02`3oool0
0`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool02`3oool0
0`000000oooo0?ooo`0R0?ooo`030000003oool0oooo00@0oooo000h0?ooo`040000003oool0oooo
000000/0oooo00<000000?ooo`3oool0803oool00`000000oooo0?ooo`0R0?ooo`030000003oool0
oooo00/0oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0
oooo00X0oooo00<000000?ooo`3oool0803oool2000000L0oooo000h0?ooo`040000003oool0oooo
000000L0oooo1000000S0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool01`3oool4
00000280oooo00D000000?ooo`3oool0oooo0000000P0?ooo`050000003oool0oooo0?ooo`000000
1`3oool4000002D0oooo00<000000?ooo`3oool0103oool003P0oooo00@000000?ooo`3oool00000
1`3oool00`000000oooo0?ooo`0S0?ooo`8000008`3oool2000000T0oooo00<000000?ooo`3oool0
8`3oool01@000000oooo0?ooo`3oool000000200oooo00D000000?ooo`3oool0oooo000000070?oo
o`030000003oool0oooo0280oooo00D000000?ooo`3oool0oooo000000060?ooo`005@3oool00`00
0000oooo0?ooo`0Q0?ooo`800000203oool500000280oooo00<000000?ooo`3oool08P3oool00`00
0000oooo0?ooo`070?ooo`D000008P3oool300000280oooo0`0000080?ooo`D000008@3oool30000
00L0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0
o`3oool90?ooo`004`3oool400000:T0oooo1000001L0?ooo`004P3oool600000:80oooo2`00001K
0?ooo`004P3oool6000009h0oooo3`00001K0?ooo`003P3ooooo000001<00000000B0?ooo`H00000
1P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0
1P3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00D0oooo1`0000020?ooo`030000
003oool0oooo00<0oooo1P0000050?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00D0oooo000C0?ooo`@00000V@3o
ool4000000`0oooo1000001L0?ooo`005@3oool00`000000oooo0?ooo`2F0?ooo`@00000KP3oool0
01D0oooo00<000000?ooo`3oool0U@3oool4000006l0oooo000E0?ooo`030000003oool0oooo09@0
oooo0`00001a0?ooo`005@3oool00`000000oooo0?ooo`2C0?ooo`<00000LP3oool001D0oooo0P00
002D0?ooo`800000L`3oool001D0oooo00<000000?ooo`3oool0TP3oool3000007<0oooo000E0?oo
o`030000003oool0oooo0940oooo0`00001d0?ooo`005@3oool00`000000oooo0?ooo`2@0?ooo`<0
0000M@3oool001D0oooo00<000000?ooo`3oool0S`3oool3000007H0oooo000E0?ooo`030000003o
ool0oooo08h0oooo0`00001g0?ooo`005@3oool00`000000oooo0?ooo`2=0?ooo`<00000N03oool0
01D0oooo00<000000?ooo`3oool0S03oool3000007T0oooo000E0?ooo`800000S03oool3000007X0
oooo000E0?ooo`030000003oool0oooo08X0oooo0`00001k0?ooo`005@3oool00`000000oooo0?oo
o`2:0?ooo`800000O03oool001D0oooo00<000000?ooo`3oool0R@3oool3000007`0oooo000E0?oo
o`030000003oool0oooo08P0oooo0`00001m0?ooo`005@3oool00`000000oooo0?ooo`280?ooo`80
0000OP3oool001D0oooo00<000000?ooo`3oool0Q`3oool3000007h0oooo000E0?ooo`030000003o
ool0oooo08H0oooo0`00001o0?ooo`005@3oool2000008L0oooo0P0000200?ooo`005@3oool00`00
0000oooo0?ooo`250?ooo`<00000P03oool001D0oooo00<000000?ooo`3oool0Q03oool300000840
oooo000E0?ooo`030000003oool0oooo08@0oooo0P0000220?ooo`005@3oool00`000000oooo0?oo
o`230?ooo`<00000PP3oool001D0oooo00<000000?ooo`3oool0PP3oool3000008<0oooo000E0?oo
o`030000003oool0oooo0880oooo0P0000240?ooo`005@3oool00`000000oooo0?ooo`210?ooo`<0
0000Q03oool001D0oooo0P0000210?ooo`<00000Q@3oool001D0oooo00<000000?ooo`3oool0O`3o
ool3000008H0oooo000E0?ooo`030000003oool0oooo07h0oooo0`0000270?ooo`005@3oool00`00
0000oooo0?ooo`1m0?ooo`<00000R03oool001D0oooo00<000000?ooo`3oool0O@3oool2000008T0
oooo000E0?ooo`030000003oool0oooo07`0oooo0`0000290?ooo`000P3oool2000000@0oooo00<0
00000?ooo`3oool00P3oool3000000D0oooo00<000000?ooo`3oool0O03oool2000008X0oooo0000
1@3oool000000?ooo`3oool0000000L0oooo00D000000?ooo`3oool0oooo000000040?ooo`030000
003oool0oooo07/0oooo0`00002:0?ooo`0000D0oooo0000003oool0oooo0000000;0?ooo`030000
003oool0oooo0080oooo0`00001j0?ooo`<00000R`3oool000050?ooo`000000oooo0?ooo`000000
2`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo07X0oooo0P00002<0?ooo`0000D0
oooo0000003oool0oooo000000070?ooo`@000001@3oool00`000000oooo0?ooo`1i0?ooo`<00000
S03oool000050?ooo`000000oooo0?ooo`0000001`3oool00`000000oooo0?ooo`060?ooo`030000
003oool0oooo07T0oooo0P00002=0?ooo`000P3oool2000000P0oooo1@0000040?ooo`030000003o
ool0oooo07P0oooo0`00002=0?ooo`005@3oool00`000000oooo0?ooo`1g0?ooo`<00000SP3oool0
01D0oooo00<000000?ooo`3oool0M`3oool2000008l0oooo000E0?ooo`030000003oool0oooo07H0
oooo0`00002?0?ooo`005@3oool2000007H0oooo0`00002@0?ooo`005@3oool00`000000oooo0?oo
o`1e0?ooo`800000T@3oool001D0oooo00<000000?ooo`3oool0M03oool300000940oooo000E0?oo
o`030000003oool0oooo07<0oooo0`00002B0?ooo`005@3oool00`000000oooo0?ooo`1c0?ooo`80
0000T`3oool001D0oooo00<000000?ooo`3oool0LP3oool3000009<0oooo000E0?ooo`030000003o
ool0oooo0740oooo0`00002D0?ooo`005@3oool00`000000oooo0?ooo`1a0?ooo`800000U@3oool0
01D0oooo0P00001a0?ooo`<00000U@3oool001D0oooo00<000000?ooo`3oool0K`3oool3000009H0
oooo000E0?ooo`030000003oool0oooo06h0oooo0`00002G0?ooo`005@3oool00`000000oooo0?oo
o`1]0?ooo`<00000V03oool001D0oooo00<000000?ooo`3oool0K03oool3000009T0oooo000E0?oo
o`030000003oool0oooo06`0oooo0P00002J0?ooo`005@3oool00`000000oooo0?ooo`1[0?ooo`<0
0000VP3oool001D0oooo00<000000?ooo`3oool0JP3oool3000009/0oooo000E0?ooo`800000J`3o
ool2000009`0oooo000E0?ooo`030000003oool0oooo06T0oooo0`00002L0?ooo`005@3oool00`00
0000oooo0?ooo`1X0?ooo`<00000W@3oool001D0oooo00<000000?ooo`3oool0I`3oool3000009h0
oooo000E0?ooo`030000003oool0oooo06H0oooo0`00002O0?ooo`005@3oool00`000000oooo0?oo
o`1U0?ooo`<00000X03oool001D0oooo00<000000?ooo`3oool0H`3oool400000:40oooo000E0?oo
o`030000003oool0oooo0680oooo1000002R0?ooo`005@3oool200000680oooo0`00002T0?ooo`00
5@3oool00`000000oooo0?ooo`1P0?ooo`<00000Y@3oool001D0oooo00<000000?ooo`3oool0GP3o
ool400000:H0oooo000E0?ooo`030000003oool0oooo05d0oooo1000002W0?ooo`005@3oool00`00
0000oooo0?ooo`1L0?ooo`<00000Z@3oool000d0oooo0`0000050?ooo`030000003oool0oooo05X0
oooo1000002Z0?ooo`003P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0540oooo
100000030?ooo`D00000Z`3oool000h0oooo00<000000?ooo`3oool0103oool00`000000oooo0?oo
o`1@0?ooo`/00000[@3oool000h0oooo00<000000?ooo`3oool0103oool300000500oooo2@00002_
0?ooo`003P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0500oooo1P00002b0?oo
o`003@3oool2000000H0oooo00<000000?ooo`3oool0D03oool600000;80oooo000>0?ooo`030000
003oool0oooo00@0oooo00<000000?ooo`3oool0D@3oool400000;<0oooo000E0?ooo`030000003o
ool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`00
0000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo
0P00003o0?ooo`X0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<00000
0?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`03
0000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3o
ool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool0
01D0oooo0P00003o0?ooo`X0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo
00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E
0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?oo
o`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo
2@3oool001D0oooo0P00003o0?ooo`X0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool0
01D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0
oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3o
ool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo
0?l0oooo2@3oool001D0oooo0P00003o0?ooo`X0oooo000E0?ooo`030000003oool0oooo0?l0oooo
2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o
0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool000040?ooo`00000000000000
00@0oooo00<000000?ooo`3oool00P3oool3000000D0oooo00<000000?ooo`3oool0o`3oool90?oo
o`000P3oool00`000000oooo0?ooo`070?ooo`050000003oool0oooo0?ooo`000000103oool00`00
0000oooo0?ooo`3o0?ooo`T0oooo00020?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3o
ool00P3oool00`000000oooo0?ooo`3o0?ooo`T0oooo00020?ooo`030000003oool0oooo00/0oooo
00<000000?ooo`3oool00P3oool300000?l0oooo2@3oool00080oooo00<000000?ooo`3oool01`3o
ool4000000D0oooo00<000000?ooo`3oool0o`3oool90?ooo`0000<0oooo0000000000002@3oool0
0`000000oooo0?ooo`060?ooo`030000003oool0oooo0?l0oooo2@3oool00080oooo00<000000?oo
o`3oool01`3oool5000000@0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000
oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<0
00000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?oo
o`800000o`3oool:0?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000
003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool0
0`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0
oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo
000E0?ooo`800000o`3oool:0?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?oo
o`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`00
5@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3o
ool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?oo
o`T0oooo000E0?ooo`800000o`3oool:0?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo
000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool9
0?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000E0?ooo`030000003oool0oooo0?l0
oooo2@3oool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool200000?l0oooo2P3o
ool001D0oooo00<000000?ooo`3oool0o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?oo
o`T0oooo000E0?ooo`030000003oool0oooo0?l0oooo2@3oool001D0oooo00<000000?ooo`3oool0
o`3oool90?ooo`005@3oool00`000000oooo0?ooo`3o0?ooo`T0oooo000<0?ooo`D00000103oool0
0`000000oooo0?ooo`3n0?ooo`@000001P3oool000d0oooo00@000000?ooo`3oool00000103oool0
0`000000oooo0?ooo`3m0?ooo`H000001@3oool000h0oooo00<000000?ooo`3oool0103oool30000
0?d0oooo1P0000050?ooo`003`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo0?d0
oooo1P0000050?ooo`00303oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3o
ool0o@3oool6000000D0oooo000<0?ooo`050000003oool0oooo0?ooo`000000103oool00`000000
oooo0?ooo`3n0?ooo`@000001P3oool000d0oooo0`0000050?ooo`030000003oool0oooo0?l0oooo
2@3oool00?l0oooo8@3oool00001\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.247788, -0.163031, \
0.0115777, 0.0125844}}],

Cell[BoxData[
    TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
      False,
      Editable->False]], "Output"]
}, Open  ]]
},
FrontEndVersion->"4.0 for Macintosh",
ScreenRectangle->{{0, 1024}, {0, 748}},
WindowSize->{520, 626},
WindowMargins->{{Automatic, 60}, {Automatic, 30}},
MacintoshSystemPageSetup->"\<\
02P0001804P000000^L2D_ogooL33`9K8085:0?l0000005X0FP000003X<;VP5d
038;VTRX04/00@4100000BL?00400@000000000000000000000000000040I0<0
00000000000@XP404@000000000eDflP\>"
]


(***********************************************************************
Cached data follows.  If you edit this Notebook file directly, not using
Mathematica, you must remove the line containing CacheID at the top of 
the file.  The cache data will then be recreated when you save this file 
from within Mathematica.
***********************************************************************)

(*CellTagsOutline
CellTagsIndex->{}
*)

(*CellTagsIndex
CellTagsIndex->{}
*)

(*NotebookFileOutline
Notebook[{
Cell[1717, 49, 304, 5, 91, "Input"],

Cell[CellGroupData[{
Cell[2046, 58, 95, 2, 43, "Input"],
Cell[2144, 62, 322, 8, 73, "Output"],
Cell[2469, 72, 237, 8, 73, "Output"]
}, Open  ]],
Cell[2721, 83, 201, 4, 75, "Input"],
Cell[2925, 89, 130, 2, 43, "Input"],

Cell[CellGroupData[{
Cell[3080, 95, 38, 1, 27, "Input"],
Cell[3121, 98, 791, 14, 116, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[3949, 117, 144, 2, 59, "Input"],
Cell[4096, 121, 130, 3, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[4263, 129, 64, 1, 27, "Input"],
Cell[4330, 132, 15052, 403, 186, 3602, 257, "GraphicsData", "PostScript", \
"Graphics"],
Cell[19385, 537, 130, 3, 26, "Output"]
}, Open  ]]
}
]
*)




(***********************************************************************
End of Mathematica Notebook file.
***********************************************************************)