(*********************************************************************** 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[ 301443, 5033]*) (*NotebookOutlinePosition[ 302161, 5058]*) (* CellTagsIndexPosition[ 302117, 5054]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[{ \( (*\ GeH4\ computation; \ coordinates\ and\ radii\ from\ GeH4ime5 . exe\ 20.04 .2012\ *) \[IndentingNewLine]\(Clear[t, u];\)\), "\[IndentingNewLine]", \(\(t = {{0.00000, 0.00000, 0.00000, 0.96466}, {1.40253, 1.40253, 1.40253, 1.46459}, {\(-1.40253\), \(-1.40253\), 1.40253, 1.46459}, {1.40253, \(-1.40253\), \(-1.40253\), 1.46459}, {\(-1.40253\), 1.40253, \(-1.40253\), 1.46459}};\)\), "\[IndentingNewLine]", \(\(u = {{0.00000, 0.00000, 0.00000}, {1.68436, 1.68436, 1.68436}, {\(-1.68436\), \(-1.68436\), 1.68436}, {1.68436, \(-1.68436\), \(-1.68436\)}, {\(-1.68436\), 1.68436, \(-1.68436\)}};\)\)}], "Input"], Cell[BoxData[{ \(\(x = Table[t[\([i, 1]\)], {i, 1, 5}];\)\), "\[IndentingNewLine]", \(\(y = Table[t[\([i, 2]\)], {i, 1, 5}];\)\), "\[IndentingNewLine]", \(\(z = Table[t[\([i, 3]\)], {i, 1, 5}];\)\), "\[IndentingNewLine]", \(\(r = Table[t[\([i, 4]\)], {i, 1, 5}];\)\), "\[IndentingNewLine]", \(\(ux = Table[u[\([i, 1]\)], {i, 1, 5}];\)\), "\[IndentingNewLine]", \(\(uy = Table[u[\([i, 2]\)], {i, 1, 5}];\)\), "\[IndentingNewLine]", \(\(uz = Table[u[\([i, 3]\)], {i, 1, 5}];\)\[IndentingNewLine]\), "\[IndentingNewLine]", \(\(sq = Sqrt[2]/2;\)\[IndentingNewLine]\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[{ \( (*\ yz\ plane\ projection, \ rotated\ 45 \[Degree]\ around\ z - axis\ *) \[IndentingNewLine]plot1 = Graphics[{Circle[{y[\([1]\)], z[\([1]\)]}, r[\([1]\)]], Disk[{y[\([1]\)], z[\([1]\)]}, 0.08], \[IndentingNewLine]Circle[{sq*x[\([2]\)] - sq*y[\([2]\)], z[\([2]\)]}, r[\([2]\)]], Circle[{sq*x[\([3]\)] - sq*y[\([3]\)], z[\([3]\)]}, r[\([3]\)]], Circle[{sq*x[\([4]\)] - sq*y[\([4]\)], z[\([4]\)]}, r[\([4]\)]], Circle[{sq*x[\([5]\)] - sq*y[\([5]\)], z[\([5]\)]}, r[\([5]\)]], Circle[{sq*x[\([2]\)] - sq*y[\([2]\)], z[\([2]\)]}, 0.1], Circle[{sq*x[\([3]\)] - sq*y[\([3]\)], z[\([3]\)]}, 0.1], Circle[{sq*x[\([4]\)] - sq*y[\([4]\)], z[\([4]\)]}, 0.1], Circle[{sq*x[\([5]\)] - sq*y[\([5]\)], z[\([5]\)]}, 0.1], Disk[{sq*ux[\([2]\)] - sq*uy[\([2]\)], uz[\([2]\)]}, 0.08], Disk[{sq*ux[\([3]\)] - sq*uy[\([3]\)], uz[\([3]\)]}, 0.08], Disk[{sq*ux[\([4]\)] - sq*uy[\([4]\)], uz[\([4]\)]}, 0.08], Disk[{sq*ux[\([5]\)] - sq*uy[\([5]\)], uz[\([5]\)]}, 0.08], {Thickness[0.006], Line[{{0, 0}, {sq*ux[\([2]\)] - sq*uy[\([2]\)], uz[\([2]\)]}}]\ , Line[{{0, 0}, {sq*ux[\([3]\)] - sq*uy[\([3]\)], uz[\([3]\)]}}], Line[{{0, 0}, {sq*ux[\([4]\)] - sq*uy[\([4]\)], uz[\([4]\)]}}], Line[{{0, 0}, {sq*ux[\([5]\)] - sq*uy[\([5]\)], uz[\([5]\)]}}]}}\ ]\[IndentingNewLine]\), "\ \[IndentingNewLine]", \(Show[ plot1, {AspectRatio\ \[Rule] \ Automatic, Axes\ -> \ True, GridLines\ -> \ Automatic, \ PlotRange\ \[Rule] \ {{\(-4\), 4}, {\(-4\), 4}}, \ Frame\ -> \ True}]\[IndentingNewLine]\[IndentingNewLine] (*\ xy\ plane\ *) \), "\[IndentingNewLine]", \(plot2 = Graphics[{Circle[{x[\([1]\)], y[\([1]\)]}, r[\([1]\)]], Disk[{x[\([1]\)], y[\([1]\)]}, 0.08], \[IndentingNewLine]Circle[{\(-y[\([2]\)]\), x[\([2]\)]}, r[\([2]\)]], Circle[{\(-y[\([3]\)]\), x[\([3]\)]}, r[\([3]\)]], Circle[{\(-y[\([4]\)]\), x[\([4]\)]}, r[\([4]\)]], Circle[{\(-y[\([5]\)]\), x[\([5]\)]}, r[\([5]\)]], Circle[{\(-y[\([2]\)]\), x[\([2]\)]}, 0.1], Circle[{\(-y[\([3]\)]\), x[\([3]\)]}, 0.1], Circle[{\(-y[\([4]\)]\), x[\([4]\)]}, 0.1], Circle[{\(-y[\([5]\)]\), x[\([5]\)]}, 0.1], Disk[{\(-uy[\([2]\)]\), ux[\([2]\)]}, 0.08], Disk[{\(-uy[\([3]\)]\), ux[\([3]\)]}, 0.08], Disk[{\(-uy[\([4]\)]\), ux[\([4]\)]}, 0.08], Disk[{\(-uy[\([5]\)]\), ux[\([5]\)]}, 0.08], {Thickness[0.006], Line[{{0, 0}, {\(-uy[\([2]\)]\), ux[\([2]\)]}}]\ , Line[{{0, 0}, {\(-uy[\([3]\)]\), ux[\([3]\)]}}], Line[{{0, 0}, {\(-uy[\([4]\)]\), ux[\([4]\)]}}], Line[{{0, 0}, {\(-uy[\([5]\)]\), ux[\([5]\)]}}]}}\ ]\[IndentingNewLine]\), "\ \[IndentingNewLine]", \(Show[ plot2, {AspectRatio\ \[Rule] \ Automatic, Axes\ -> \ True, GridLines\ -> \ Automatic, \ PlotRange\ \[Rule] \ {{\(-4\), 4}, {\(-4.0\), 4.0}}, \ Frame\ -> \ True}]\[IndentingNewLine]\[IndentingNewLine]\[IndentingNewLine]\)}],\ "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 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 0.5 0.125 0.5 0.125 [ [.125 -0.0125 -6 -9 ] [.125 -0.0125 6 0 ] [.25 -0.0125 -6 -9 ] [.25 -0.0125 6 0 ] [.375 -0.0125 -6 -9 ] [.375 -0.0125 6 0 ] [.5 -0.0125 -3 -9 ] [.5 -0.0125 3 0 ] [.625 -0.0125 -3 -9 ] [.625 -0.0125 3 0 ] [.75 -0.0125 -3 -9 ] [.75 -0.0125 3 0 ] [.875 -0.0125 -3 -9 ] [.875 -0.0125 3 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [ 0 0 -0.125 0 ] [-0.0125 .125 -12 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -12 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -6 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -6 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 .5 r .25 Mabswid [ ] 0 setdash .125 0 m .125 1 L s .25 0 m .25 1 L s .375 0 m .375 1 L s .5 0 m .5 1 L s .625 0 m .625 1 L s .75 0 m .75 1 L s .875 0 m .875 1 L s 0 .125 m 1 .125 L s 0 .25 m 1 .25 L s 0 .375 m 1 .375 L s 0 .5 m 1 .5 L s 0 .625 m 1 .625 L s 0 .75 m 1 .75 L s 0 .875 m 1 .875 L s 0 g .125 0 m .125 .00625 L s [(-3)] .125 -0.0125 0 1 Mshowa .25 0 m .25 .00625 L s [(-2)] .25 -0.0125 0 1 Mshowa .375 0 m .375 .00625 L s [(-1)] .375 -0.0125 0 1 Mshowa .5 0 m .5 .00625 L s [(0)] .5 -0.0125 0 1 Mshowa .625 0 m .625 .00625 L s [(1)] .625 -0.0125 0 1 Mshowa .75 0 m .75 .00625 L s [(2)] .75 -0.0125 0 1 Mshowa .875 0 m .875 .00625 L s [(3)] .875 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(4)] 1 -0.0125 0 1 Mshowa .125 Mabswid .025 0 m .025 .00375 L s .05 0 m .05 .00375 L s .075 0 m .075 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .175 0 m .175 .00375 L s .2 0 m .2 .00375 L s .225 0 m .225 .00375 L s .275 0 m .275 .00375 L s .3 0 m .3 .00375 L s .325 0 m .325 .00375 L s .35 0 m .35 .00375 L s .4 0 m .4 .00375 L s .425 0 m .425 .00375 L s .45 0 m .45 .00375 L s .475 0 m .475 .00375 L s .525 0 m .525 .00375 L s .55 0 m .55 .00375 L s .575 0 m .575 .00375 L s .6 0 m .6 .00375 L s .65 0 m .65 .00375 L s .675 0 m .675 .00375 L s .7 0 m .7 .00375 L s .725 0 m .725 .00375 L s .775 0 m .775 .00375 L s .8 0 m .8 .00375 L s .825 0 m .825 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .925 0 m .925 .00375 L s .95 0 m .95 .00375 L s .975 0 m .975 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-3)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-2)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-1)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(1)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(2)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(3)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(4)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 .99375 m 0 1 L s .125 .99375 m .125 1 L s .25 .99375 m .25 1 L s .375 .99375 m .375 1 L s .5 .99375 m .5 1 L s .625 .99375 m .625 1 L s .75 .99375 m .75 1 L s .875 .99375 m .875 1 L s .125 Mabswid .025 .99625 m .025 1 L s .05 .99625 m .05 1 L s .075 .99625 m .075 1 L s .1 .99625 m .1 1 L s .15 .99625 m .15 1 L s .175 .99625 m .175 1 L s .2 .99625 m .2 1 L s .225 .99625 m .225 1 L s .275 .99625 m .275 1 L s .3 .99625 m .3 1 L s .325 .99625 m .325 1 L s .35 .99625 m .35 1 L s .4 .99625 m .4 1 L s .425 .99625 m .425 1 L s .45 .99625 m .45 1 L s .475 .99625 m .475 1 L s .525 .99625 m .525 1 L s .55 .99625 m .55 1 L s .575 .99625 m .575 1 L s .6 .99625 m .6 1 L s .65 .99625 m .65 1 L s .675 .99625 m .675 1 L s .7 .99625 m .7 1 L s .725 .99625 m .725 1 L s .775 .99625 m .775 1 L s .8 .99625 m .8 1 L s .825 .99625 m .825 1 L s .85 .99625 m .85 1 L s .9 .99625 m .9 1 L s .925 .99625 m .925 1 L s .95 .99625 m .95 1 L s .975 .99625 m .975 1 L s .25 Mabswid 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 .5 m 1 .5 L s .5 0 m .5 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 Mabswid newpath .5 .5 .12058 0 365.73 arc s .5 .5 m .5 .5 .01 0 365.73 arc F newpath .5 .67532 .18307 0 365.73 arc s newpath .5 .67532 .18307 0 365.73 arc s newpath .74793 .32468 .18307 0 365.73 arc s newpath .25207 .32468 .18307 0 365.73 arc s newpath .5 .67532 .0125 0 365.73 arc s newpath .5 .67532 .0125 0 365.73 arc s newpath .74793 .32468 .0125 0 365.73 arc s newpath .25207 .32468 .0125 0 365.73 arc s .5 .71055 m .5 .71055 .01 0 365.73 arc F .5 .71055 m .5 .71055 .01 0 365.73 arc F .79776 .28946 m .79776 .28946 .01 0 365.73 arc F .20224 .28946 m .20224 .28946 .01 0 365.73 arc F .006 w .5 .5 m .5 .71055 L s .5 .5 m .5 .71055 L s .5 .5 m .79776 .28946 L s .5 .5 m .20224 .28946 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{450, 450}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`030000O`3oool0oooo00T0oooo1P00000T 0?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140oooo00<000000?oo o`3oool00?ooo`030000O`3oool0oooo 0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0;0?ooo`030000003oool0oooo 02@0oooo00<000000?ooo`3oool00P3oool00140oooo00<000000?ooo`3oool08`3oool00`000000 oooo0?ooo`0<0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0>0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool08P3oool00`000000 oooo0?ooo`0>0?ooo`030000O`3oool0oooo0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0<0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3oool00P3oool00140oooo 00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`0=0?ooo`030000O`3oool0oooo03<0oooo 00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0>0?ooo`030000003oool0oooo0240oooo 00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`0?0?ooo`030000O`3oool0oooo0380oooo 00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0<0?ooo`030000003oool0oooo02<0oooo 00<000000?ooo`3oool00P3oool000H0oooo00H0okmd00000000000000000000M02oool50?ooo`03 0000003oool0oooo0280oooo00<000000?ooo`3oool03@3oool00`0007l0oooo0?ooo`0c0?ooo`03 0000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool03`3oool00`000000oooo0?ooo`0P0?ooo`03 0000003oool0oooo0240oooo00<000000?ooo`3oool03`3oool00`0007l0oooo0?ooo`0b0?ooo`03 0000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool03@3oool00`000000oooo0?ooo`0R0?ooo`03 0000003oool0oooo0080oooo00070?ooo`0309a8000007@0_ooo00L0oooo00<000000?ooo`3oool0 8@3oool00`000000oooo0?ooo`0>0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool0 <`3oool00`0007l0oooo0?ooo`0?0?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool0 803oool00`000000oooo0?ooo`0@0?ooo`030000O`3oool0oooo0380oooo00<0001o0?ooo`3oool0 <`3oool00`0007l0oooo0?ooo`0=0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool0 0P3oool000P0oooo00<0okmd0000001d_ol01P3oool400000200001o00<000000000O`0007l0S000 07l00`000000001o0000O`0P0000O`030000000007l0001o01l0001o00<000000000O`0007l0S@00 07l00`000000001o0000O`0O0000O`<00000103oool000030?noM000000000000080000000H0M;oo 0?ooo`3oool0oooo0?oo_`2o_ol60?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool0 3P3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool0 403oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3oool0 4@3oool00`0007l0oooo0?ooo`0b0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool0 3`3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0080oooo00060?ooo`060?oOW018 B9`0oooo0?oo_`1d07@0_ooo1@3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo00l0 oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo0100 oooo00<000000?ooo`3oool07`3oool00`000000oooo0?ooo`0N0?ooo`030000003oool0oooo0180 oooo00<0001o0?ooo`3oool00?oo o`P000007@3oool00`0007l0oooo0?ooo`0C0?ooo`030000003oool0oooo01`0oooo00<000000?oo o`3oool00P3oool00140oooo00<000000?ooo`3oool0703oool00`000000oooo0?ooo`0C0?ooo`03 0000O`3oool0oooo01/0oooo2000000@0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3o ool05@3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3o ool05P3oool00`0007l0oooo0?ooo`0b0?ooo`030000O`3oool0oooo00h0oooo2000000M0?ooo`03 0000O`3oool0oooo01@0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`020?ooo`00 4@3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo01@0oooo00<0001o0?ooo`3oool0 6`3oool9000000l0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0E0?ooo`030000 003oool0oooo01X0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`0F0?ooo`030000 O`3oool0oooo0380oooo00<0001o0?ooo`3oool03P3oool8000001d0oooo00<0001o0?ooo`3oool0 503oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003o ool0oooo01/0oooo00<000000?ooo`3oool0503oool00`0007l0oooo0?ooo`0K0?ooo`/000003@3o ool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo01H0oooo00<000000?ooo`3oool06@3o ool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo01H0oooo00<0001o0?ooo`3oool00?ooo`030000O`3oool0oooo0180oooo00<000000?ooo`3oool0303oool30000 00h0oooo00<000000?ooo`3oool03@3oool2000000h0oooo00<000000?ooo`3oool04`3oool00`00 07l0oooo0?ooo`0;0?ooo`@000008`3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo 0100oooo00<000000?ooo`3oool07`3oool00`000000oooo0?ooo`020?ooo`004@3oool00`000000 oooo0?ooo`0O0?ooo`030000003oool0oooo0100oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0S0?ooo`@00000303oool00`0007l0oooo0?ooo`0B0?ooo`030000003oool0oooo00X0 oooo0P00000A0?ooo`030000003oool0oooo00l0oooo0P00000=0?ooo`030000003oool0oooo0180 oooo00<0001o0?ooo`3oool02P3oool4000002@0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0@0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3oool00P3oool00140oooo 00<000000?ooo`3oool0803oool00`000000oooo0?ooo`0?0?ooo`030000O`3oool0oooo03<0oooo 00<0001o0?ooo`3oool0903oool4000000/0oooo00<0001o0?ooo`3oool04@3oool00`000000oooo 0?ooo`090?ooo`8000004`3oool00`000000oooo0?ooo`0A0?ooo`<000002P3oool00`000000oooo 0?ooo`0B0?ooo`030000O`3oool0oooo00P0oooo1000000V0?ooo`030000O`3oool0oooo03<0oooo 00<0001o0?ooo`3oool03`3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0080oooo 000A0?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool03`3oool00`0007l0oooo0?oo o`0c0?ooo`030000O`3oool0oooo02H0oooo0`00000:0?ooo`030000O`3oool0oooo0100oooo00<0 00000?ooo`3oool01`3oool3000001D0oooo00<000000?ooo`3oool0503oool2000000P0oooo00<0 00000?ooo`3oool04P3oool00`0007l0oooo0?ooo`070?ooo`@000009`3oool00`0007l0oooo0?oo o`0c0?ooo`030000O`3oool0oooo00l0oooo00<000000?ooo`3oool0803oool00`000000oooo0?oo o`020?ooo`004@3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo00h0oooo00<0001o 0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0W0?ooo`@00000203oool00`0007l0oooo0?ooo`0@ 0?ooo`030000003oool0oooo00D0oooo0P00000H0?ooo`030000003oool0oooo01H0oooo0P000007 0?ooo`030000003oool0oooo0140oooo00<0001o0?ooo`3oool01P3oool3000002T0oooo00<0001o 0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0?0?ooo`030000003oool0oooo0200oooo00<00000 0?ooo`3oool00P3oool00140oooo00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`0>0?oo o`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool0:03oool4000000L0oooo00<0001o0?oo o`3oool03`3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo01P0oooo00<000000?oo o`3oool0603oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0140oooo00<0001o0?oo o`3oool0103oool4000002X0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0>0?oo o`030000003oool0oooo0240oooo00<000000?ooo`3oool00P3oool00140oooo0P00000R0?ooo`03 0000003oool0oooo00h0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0Z0?ooo`@0 00001@3oool00`0007l0oooo0?ooo`0?0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3o ool06@3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3o ool0403oool00`0007l0oooo0?ooo`030?ooo`@00000:`3oool00`0007l0oooo0?ooo`0c0?ooo`03 0000O`3oool0oooo00h0oooo00<000000?ooo`3oool0803oool2000000@0oooo000A0?ooo`030000 003oool0oooo0240oooo00<000000?ooo`3oool03P3oool00`0007l0oooo0?ooo`0c0?ooo`030000 O`3oool0oooo02/0oooo100000040?ooo`030000O`3oool0oooo00l0oooo00<000000?ooo`3oool0 0P3oool2000001`0oooo00<000000?ooo`3oool06P3oool2000000@0oooo00<000000?ooo`3oool0 403oool0100007l0oooo0?ooo`3oool4000002d0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0=0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool00P3oool00140oooo 00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`0=0?ooo`030000O`3oool0oooo03<0oooo 00<0001o0?ooo`3oool0;@3oool400000080oooo00<0001o0?ooo`3oool03`3oool01@000000oooo 0?ooo`3oool0000001h0oooo00<000000?ooo`3oool0703oool00`000000oooo0?ooo`020?ooo`03 0000003oool0oooo00l0oooo00<0001o0?ooo`3oool01000000^0?ooo`030000O`3oool0oooo03<0 oooo00<0001o0?ooo`3oool03@3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo0080 oooo000A0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool03@3oool00`0007l0oooo 0?ooo`0c0?ooo`030000O`3oool0oooo02h0oooo100000000`3oool0001o0?ooo`0?0?ooo`050000 003oool0oooo0?ooo`0000007`3oool00`000000oooo0?ooo`0M0?ooo`050000003oool0oooo0?oo o`0000004@3oool00`0007l000000000000200000300oooo00<0001o0?ooo`3oool0<`3oool00`00 07l0oooo0?ooo`0<0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3oool00P3oool00140 oooo00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`0<0?ooo`030000O`3oool0oooo03<0 oooo00<0001o0?ooo`3oool0<03oool3000000030000O`3oool0oooo00h0oooo00@000000?ooo`00 00000000803oool00`000000oooo0?ooo`0N0?ooo`8000000P3oool00`000000oooo0?ooo`0>0?oo o`@00000<@3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo00`0oooo00<000000?oo o`3oool08`3oool00`000000oooo0?ooo`020?ooo`004@3oool00`000000oooo0?ooo`0T0?ooo`03 0000003oool0oooo00/0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0a0?ooo`@0 00003P3oool00`000000oooo0000000R0?ooo`030000003oool0oooo0200oooo00@000000?ooo`3o ool000003P3oool3000003<0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0;0?oo o`030000003oool0oooo02@0oooo00<000000?ooo`3oool00P3oool00140oooo00<000000?ooo`3o ool0903oool00`000000oooo0?ooo`0;0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3o ool00?ooo`8000008@3oool2 00000280oooo0P00000?0?ooo`030000003oool0001o03@0oooo00<0001o0?ooo`3oool0<`3oool0 0`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo 0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool00000 00d0oooo00<000000?ooo`3oool08@3oool2000002@0oooo0P00000=0?ooo`030000003oool0001o 03@0oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo 0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0c0?ooo`030000O`3oool0000000/0oooo0P00000T0?ooo`8000009P3oool00`000000 oooo0?ooo`090?ooo`040000003oool0oooo0000Oc@0oooo00<0001o0?ooo`3oool0<`3oool00`00 07l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380 oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0000000T0 oooo0P00000V0?ooo`8000009`3oool2000000T0oooo00@000000?ooo`3oool0001o=03oool00`00 07l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140 oooo00<000000?ooo`3oool00?ooo`030000003oool0oooo0240 oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080 oooo000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo 0?ooo`0Q0?ooo`030000003oool0oooo00l0oooo00<0001o0?ooo`3oool0503oool00`000000oooo 0?ooo`0J0?ooo`8000007@3oool00`000000oooo0?ooo`0E0?ooo`030000O`3oool0oooo00h0oooo 00<000000?ooo`3oool08@3oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo0380oooo 00<000000?ooo`3oool00P3oool00140oooo0P00000c0?ooo`030000O`3oool0oooo03<0oooo00<0 001o0?ooo`3oool08@3oool00`000000oooo0?ooo`0?0?ooo`030000O`3oool0oooo01D0oooo0P00 000J0?ooo`8000006`3oool2000001P0oooo00<0001o0?ooo`3oool03`3oool00`000000oooo0?oo o`0P0?ooo`030000O`3oool0oooo03<0oooo00<0001o0?ooo`3oool0<@3oool2000000@0oooo000A 0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0P 0?ooo`030000003oool0oooo0100oooo00<0001o0?ooo`3oool05`3oool00`000000oooo0?ooo`0G 0?ooo`8000006P3oool00`000000oooo0?ooo`0H0?ooo`030000O`3oool0oooo00l0oooo00<00000 0?ooo`3oool0803oool00`0007l0oooo0?ooo`0c0?ooo`030000O`3oool0oooo0380oooo00<00000 0?ooo`3oool00P3oool00140oooo00<000000?ooo`3oool00?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool0<`3o ool00`0007l0oooo0?ooo`0<0?ooo`030000003oool0oooo02<0oooo00<0001o0?ooo`3oool0<`3o ool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0 oooo0380oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0S0?ooo`030000003oool0 oooo00d0oooo00<0001o0?ooo`3oool0"], ImageRangeCache->{{{0, 449}, {449, 0}} -> {-4.32401, -4.28201, 0.0186638, \ 0.0186638}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 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 0.5 0.125 0.5 0.125 [ [.125 -0.0125 -6 -9 ] [.125 -0.0125 6 0 ] [.25 -0.0125 -6 -9 ] [.25 -0.0125 6 0 ] [.375 -0.0125 -6 -9 ] [.375 -0.0125 6 0 ] [.5 -0.0125 -3 -9 ] [.5 -0.0125 3 0 ] [.625 -0.0125 -3 -9 ] [.625 -0.0125 3 0 ] [.75 -0.0125 -3 -9 ] [.75 -0.0125 3 0 ] [.875 -0.0125 -3 -9 ] [.875 -0.0125 3 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [ 0 0 -0.125 0 ] [-0.0125 .125 -12 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -12 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -6 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -6 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 .5 r .25 Mabswid [ ] 0 setdash .125 0 m .125 1 L s .25 0 m .25 1 L s .375 0 m .375 1 L s .5 0 m .5 1 L s .625 0 m .625 1 L s .75 0 m .75 1 L s .875 0 m .875 1 L s 0 .125 m 1 .125 L s 0 .25 m 1 .25 L s 0 .375 m 1 .375 L s 0 .5 m 1 .5 L s 0 .625 m 1 .625 L s 0 .75 m 1 .75 L s 0 .875 m 1 .875 L s 0 g .125 0 m .125 .00625 L s [(-3)] .125 -0.0125 0 1 Mshowa .25 0 m .25 .00625 L s [(-2)] .25 -0.0125 0 1 Mshowa .375 0 m .375 .00625 L s [(-1)] .375 -0.0125 0 1 Mshowa .5 0 m .5 .00625 L s [(0)] .5 -0.0125 0 1 Mshowa .625 0 m .625 .00625 L s [(1)] .625 -0.0125 0 1 Mshowa .75 0 m .75 .00625 L s [(2)] .75 -0.0125 0 1 Mshowa .875 0 m .875 .00625 L s [(3)] .875 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(4)] 1 -0.0125 0 1 Mshowa .125 Mabswid .025 0 m .025 .00375 L s .05 0 m .05 .00375 L s .075 0 m .075 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .175 0 m .175 .00375 L s .2 0 m .2 .00375 L s .225 0 m .225 .00375 L s .275 0 m .275 .00375 L s .3 0 m .3 .00375 L s .325 0 m .325 .00375 L s .35 0 m .35 .00375 L s .4 0 m .4 .00375 L s .425 0 m .425 .00375 L s .45 0 m .45 .00375 L s .475 0 m .475 .00375 L s .525 0 m .525 .00375 L s .55 0 m .55 .00375 L s .575 0 m .575 .00375 L s .6 0 m .6 .00375 L s .65 0 m .65 .00375 L s .675 0 m .675 .00375 L s .7 0 m .7 .00375 L s .725 0 m .725 .00375 L s .775 0 m .775 .00375 L s .8 0 m .8 .00375 L s .825 0 m .825 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .925 0 m .925 .00375 L s .95 0 m .95 .00375 L s .975 0 m .975 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-3)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-2)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-1)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(1)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(2)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(3)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(4)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 .99375 m 0 1 L s .125 .99375 m .125 1 L s .25 .99375 m .25 1 L s .375 .99375 m .375 1 L s .5 .99375 m .5 1 L s .625 .99375 m .625 1 L s .75 .99375 m .75 1 L s .875 .99375 m .875 1 L s .125 Mabswid .025 .99625 m .025 1 L s .05 .99625 m .05 1 L s .075 .99625 m .075 1 L s .1 .99625 m .1 1 L s .15 .99625 m .15 1 L s .175 .99625 m .175 1 L s .2 .99625 m .2 1 L s .225 .99625 m .225 1 L s .275 .99625 m .275 1 L s .3 .99625 m .3 1 L s .325 .99625 m .325 1 L s .35 .99625 m .35 1 L s .4 .99625 m .4 1 L s .425 .99625 m .425 1 L s .45 .99625 m .45 1 L s .475 .99625 m .475 1 L s .525 .99625 m .525 1 L s .55 .99625 m .55 1 L s .575 .99625 m .575 1 L s .6 .99625 m .6 1 L s .65 .99625 m .65 1 L s .675 .99625 m .675 1 L s .7 .99625 m .7 1 L s .725 .99625 m .725 1 L s .775 .99625 m .775 1 L s .8 .99625 m .8 1 L s .825 .99625 m .825 1 L s .85 .99625 m .85 1 L s .9 .99625 m .9 1 L s .925 .99625 m .925 1 L s .95 .99625 m .95 1 L s .975 .99625 m .975 1 L s .25 Mabswid 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 .5 m 1 .5 L s .5 0 m .5 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 Mabswid newpath .5 .5 .12058 0 365.73 arc s .5 .5 m .5 .5 .01 0 365.73 arc F newpath .32468 .67532 .18307 0 365.73 arc s newpath .67532 .32468 .18307 0 365.73 arc s newpath .67532 .67532 .18307 0 365.73 arc s newpath .32468 .32468 .18307 0 365.73 arc s newpath .32468 .67532 .0125 0 365.73 arc s newpath .67532 .32468 .0125 0 365.73 arc s newpath .67532 .67532 .0125 0 365.73 arc s newpath .32468 .32468 .0125 0 365.73 arc s .28946 .71055 m .28946 .71055 .01 0 365.73 arc F .71055 .28946 m .71055 .28946 .01 0 365.73 arc F .71055 .71055 m .71055 .71055 .01 0 365.73 arc F .28946 .28946 m .28946 .28946 .01 0 365.73 arc F .006 w .5 .5 m .28946 .71055 L s .5 .5 m .71055 .28946 L s .5 .5 m .71055 .71055 L s .5 .5 m .28946 .28946 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{450, 450}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`030000O`3oool0oooo0380oooo00<0001o0?ooo`3o ool00P3oool2000002l0oooo00<0001o0?ooo`3oool00?ooo`030000O`3oool0oooo02T0oooo00<000000?ooo`3oool01`3oool00`0007l0 oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo 00<0001o0?ooo`3oool01`3oool00`000000oooo0?ooo`0Y0?ooo`030000O`3oool0oooo00/0oooo 1P00000R0?ooo`030000O`3oool0oooo0340oooo0P0000000`3oool000000?ooo`0b0?ooo`030000 O`3oool0oooo01l0oooo1P00000=0?ooo`030000O`3oool0oooo02X0oooo00<000000?ooo`3oool0 1P3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003o ool0oooo0380oooo00<0001o0?ooo`3oool01P3oool00`000000oooo0?ooo`0Z0?ooo`030000O`3o ool0oooo00/0oooo1`00000Q0?ooo`030000O`3oool0oooo0300oooo00D000000?ooo`000000oooo 0000000c0?ooo`030000O`3oool0oooo01h0oooo2000000<0?ooo`030000O`3oool0oooo02X0oooo 00<000000?ooo`3oool01P3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo 000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool01P3oool00`000000oooo0?oo o`0Z0?ooo`030000O`3oool0oooo00X0oooo2000000Q0?ooo`030000O`3oool0oooo0300oooo00D0 00000?ooo`000000oooo0000000c0?ooo`030000O`3oool0oooo01d0oooo2@00000<0?ooo`030000 O`3oool0oooo02X0oooo00<000000?ooo`3oool01P3oool00`0007l0oooo0?ooo`0b0?ooo`030000 003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool01P3o ool00`000000oooo0?ooo`0Z0?ooo`030000O`3oool0oooo00X0oooo2000000Q0?ooo`030000O`3o ool0oooo0300oooo00D000000?ooo`000000oooo0000000c0?ooo`030000O`3oool0oooo01d0oooo 2@00000<0?ooo`030000O`3oool0oooo02X0oooo00<000000?ooo`3oool01P3oool00`0007l0oooo 0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0 001o0?ooo`3oool01P3oool00`000000oooo0?ooo`0Z0?ooo`030000O`3oool0oooo00X0oooo2000 000Q0?ooo`030000O`3oool0oooo0300oooo00D000000?ooo`000000oooo0000000c0?ooo`030000 O`3oool0oooo01d0oooo2000000=0?ooo`030000O`3oool0oooo02/0oooo00<000000?ooo`3oool0 1@3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003o ool0oooo0380oooo00<0001o0?ooo`3oool01@3oool00`000000oooo0?ooo`0[0?ooo`030000O`3o ool0oooo00/0oooo1`00000Q0?ooo`030000O`3oool0oooo0300oooo00D000000?ooo`000000oooo 0000000c0?ooo`030000O`3oool0oooo01h0oooo1`00000=0?ooo`030000O`3oool0oooo02/0oooo 00<000000?ooo`3oool01@3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo 000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool01@3oool00`000000oooo0?oo o`0[0?ooo`030000O`3oool0oooo00/0oooo2000000P0?ooo`030000O`3oool0oooo0300oooo00<0 00000?ooo`0000000P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0oooo01d0oooo1`00 000>0?ooo`030000O`3oool0oooo02/0oooo00<000000?ooo`3oool01@3oool00`0007l0oooo0?oo o`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`800000<`3oool00`0007l0oooo0?ooo`05 0?ooo`030000003oool0oooo02/0oooo00<0001o0?ooo`3oool0303oool4000000040?ooo`000000 0000000001l0oooo00<0001o0?ooo`3oool0;`3oool010000000oooo0?ooo`0000020?ooo`030000 003oool0oooo0300oooo00<0001o0?ooo`3oool0703oool3000000040?ooo`0000000000000000l0 oooo00<0001o0?ooo`3oool0:`3oool00`000000oooo0?ooo`050?ooo`030000O`3oool0oooo0340 oooo0P0000040?ooo`004@3oool00`000000oooo0?ooo`0b0?ooo`030000O`3oool0oooo00D0oooo 00<000000?ooo`3oool0:`3oool00`0007l0oooo0?ooo`0B0?ooo`<000007P3oool00`0007l0oooo 0?ooo`0_0?ooo`040000003oool0oooo00000080oooo00<000000?ooo`3oool0<03oool00`0007l0 oooo0?ooo`0K0?ooo`<00000503oool00`0007l0oooo0?ooo`0[0?ooo`030000003oool0oooo00D0 oooo00<0001o0?ooo`3oool00?ooo`030000O`3oool0oooo 02l0oooo00@000000?ooo`3oool000000P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0 oooo00h0oooo00<000000?ooo`3oool00P3oool3000000030?ooo`000000oooo01T0oooo00<0001o 0?ooo`3oool0;03oool00`000000oooo0?ooo`040?ooo`030000O`3oool0oooo0380oooo00<00000 0?ooo`3oool00P3oool00140oooo00<000000?ooo`3oool0 0?ooo`030000O`3oool0oooo02l0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?oo o`0_0?ooo`030000O`3oool0oooo00d0oooo00@000000?ooo`3oool0oooo0`0000040?ooo`030000 003oool0oooo01L0oooo00<0001o0?ooo`3oool0;03oool00`000000oooo0?ooo`040?ooo`030000 O`3oool0oooo0340oooo0P0000040?ooo`004@3oool00`000000oooo0?ooo`0b0?ooo`030000O`3o ool0oooo00D0oooo00<000000?ooo`3oool0:`3oool00`0007l0oooo0?ooo`0H0?ooo`030000003o ool0oooo0080oooo0`0000020?ooo`030000003oool0oooo00h0oooo00<0001o0?ooo`3oool0;`3o ool010000000oooo0?ooo`0000020?ooo`030000003oool0oooo0300oooo00<0001o0?ooo`3oool0 3@3oool00`000000oooo0?ooo`03000000@0oooo00<000000?ooo`3oool0603oool00`0007l0oooo 0?ooo`0/0?ooo`030000003oool0oooo00@0oooo00<0001o0?ooo`3oool00?ooo`<000001@3oool00`000000oooo0?ooo`0I0?ooo`030000O`3oool0oooo02`0oooo 00<000000?ooo`3oool0103oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo 000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool01@3oool00`000000oooo0?oo o`0[0?ooo`030000O`3oool0oooo01X0oooo00<000000?ooo`3oool00`3oool300000100oooo00<0 001o0?ooo`3oool0;`3oool010000000oooo0?ooo`0000020?ooo`030000003oool0oooo0300oooo 00<0001o0?ooo`3oool03@3oool3000000H0oooo00<000000?ooo`3oool06@3oool00`0007l0oooo 0?ooo`0/0?ooo`030000003oool0oooo00@0oooo00<0001o0?ooo`3oool00?ooo`030000O`3oool0oooo02l0oooo00@0 00000?ooo`3oool000000P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0oooo00/0oooo 0`00000T0?ooo`030000O`3oool0oooo02`0oooo00<000000?ooo`3oool0103oool00`0007l0oooo 0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0 001o0?ooo`3oool01@3oool00`000000oooo0?ooo`0[0?ooo`030000O`3oool0oooo02<0oooo0`00 000=0?ooo`030000O`3oool0oooo02l0oooo00@000000?ooo`3oool000000P3oool00`000000oooo 0?ooo`0`0?ooo`030000O`3oool0oooo00X0oooo0`00000U0?ooo`030000O`3oool0oooo02/0oooo 00<000000?ooo`3oool01@3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo 000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool01@3oool00`000000oooo0?oo o`0[0?ooo`030000O`3oool0oooo02@0oooo0`00000<0?ooo`030000O`3oool0oooo02l0oooo00@0 00000?ooo`3oool000000P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0oooo00T0oooo 0`00000V0?ooo`030000O`3oool0oooo02/0oooo00<000000?ooo`3oool01@3oool00`0007l0oooo 0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0 001o0?ooo`3oool01@3oool00`000000oooo0?ooo`0[0?ooo`030000O`3oool0oooo02D0oooo0`00 000;0?ooo`030000O`3oool0oooo02l0oooo00@000000?ooo`3oool000000P3oool00`000000oooo 0?ooo`0`0?ooo`030000O`3oool0oooo00P0oooo0`00000W0?ooo`030000O`3oool0oooo02/0oooo 00<000000?ooo`3oool01@3oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo 000A0?ooo`030000003oool0oooo0380oooo00<0001o0?ooo`3oool01@3oool00`000000oooo0?oo o`0[0?ooo`030000O`3oool0oooo02H0oooo0`00000:0?ooo`030000O`3oool0oooo02l0oooo00@0 00000?ooo`3oool000000P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0oooo00L0oooo 0`00000X0?ooo`030000O`3oool0oooo02/0oooo00<000000?ooo`3oool01@3oool00`0007l0oooo 0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`800000<`3oool00`0007l0oooo0?oo o`050?ooo`030000003oool0oooo02/0oooo00<0001o0?ooo`3oool09`3oool3000000T0oooo00<0 001o0?ooo`3oool0<03oool00`000000oooo000000020?ooo`030000003oool0oooo0300oooo00<0 001o0?ooo`3oool01P3oool3000002T0oooo00<0001o0?ooo`3oool0:`3oool00`000000oooo0?oo o`050?ooo`030000O`3oool0oooo0340oooo0P0000040?ooo`004@3oool00`000000oooo0?ooo`0b 0?ooo`030000O`3oool0oooo00D0oooo00<000000?ooo`3oool0:`3oool00`0007l0oooo0?ooo`0X 0?ooo`<00000203oool00`0007l0oooo0?ooo`0`0?ooo`050000003oool000000?ooo`000000<`3o ool00`0007l0oooo0?ooo`050?ooo`<00000:P3oool00`0007l0oooo0?ooo`0[0?ooo`030000003o ool0oooo00D0oooo00<0001o0?ooo`3oool0P0007l3000000@0oooo00000`3o _g@00000000000020000000507Boo`3oool0oooo0?noM018W=l01`3oool00`000000oooo0?ooo`0b 0?ooo`030000O`3oool0oooo00L0oooo00<000000?ooo`3oool0:@3oool00`0007l0oooo0?ooo`0b 0?ooo`<00000<`3oool00`000000oooo0?ooo`0a0?ooo`<00000=03oool00`0007l0oooo0?ooo`0X 0?ooo`030000003oool0oooo00P0oooo00<0001o0?ooo`3oool00?ooo`030000003oool0 oooo0280oooo00<0001o0?ooo`3oool0<`3oool00`0007l0oooo0?ooo`0;0?ooo`<0000000<0oooo 0000003oool06`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00<0oooo00<00000 0?ooo`3oool06P3oool00`000000oooo00000002000000h0oooo00<0001o0?ooo`3oool00?ooo`030000003o ool0oooo00`0oooo0`0000050?ooo`030000003oool0oooo01P0oooo00D000000?ooo`3oool0oooo 0000O`0d0?ooo`030000O`3oool0oooo0140oooo00<000000?ooo`3oool07`3oool00`0007l0oooo 0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0 001o0?ooo`3oool0803oool200000140oooo00<0001o0?ooo`3oool0<`3oool01@0007l0oooo0?oo o`3oool0000001L0oooo0P0000070?ooo`<000003@3oool00`000000oooo0?ooo`0;0?ooo`<00000 1`3oool2000001P0oooo00D000000?ooo`3oool0oooo0000O`0d0?ooo`030000O`3oool0oooo00l0 oooo0P00000R0?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140oooo 00<000000?ooo`3oool00?ooo`040000003oool0oooo0000Oc@0 oooo00<0001o0?ooo`3oool01P3oool2000002/0oooo00<0001o0?ooo`3oool00?ooo`<000000P3oool0 0`000000oooo0?ooo`0H0?ooo`030000003oool0oooo0080oooo00<0001o0?ooo`3oool00?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02P3oool0 0`000000oooo0?ooo`0;0?ooo`<000003@3oool00`000000oooo0?ooo`080?ooo`030000O`3oool0 oooo0380oooo00<0001o0?ooo`3oool0703oool00`000000oooo0?ooo`0D0?ooo`030000O`3oool0 oooo0380oooo00<000000?ooo`3oool00P3oool00140oooo00<000000?ooo`3oool00?ooo`030000O`3oool0oooo0380oooo00<0001o0?ooo`3oool0803oool00`00 0000oooo0?ooo`0@0?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140 oooo00<000000?ooo`3oool00?ooo`030000O`3oool0oooo0380oooo00<0001o0?ooo`3oool08P3oool00`000000oooo0?oo o`0>0?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140oooo00<00000 0?ooo`3oool0P0007l3000000@0oooo00080?ooo`030?noM018W=l0oooo00H0oooo00<0 00000?ooo`3oool00?ooo`03 0000O`3oool0oooo02l0oooo00@000000?ooo`3oool000000P3oool00`000000oooo0?ooo`0`0?oo o`030000O`3oool0oooo00/0oooo0`00000T0?ooo`030000O`3oool0oooo02`0oooo00<000000?oo o`3oool0103oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0oooo0080oooo000A0?ooo`03 0000003oool0oooo0380oooo00<0001o0?ooo`3oool01@3oool00`000000oooo0?ooo`0[0?ooo`03 0000O`3oool0oooo01/0oooo1@000000103oool0000000000000000?0?ooo`030000O`3oool0oooo 02l0oooo00@000000?ooo`3oool000000P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0 oooo00`0oooo0`0000020?ooo`D00000703oool00`0007l0oooo0?ooo`0/0?ooo`030000003oool0 oooo00@0oooo00<0001o0?ooo`3oool00?ooo`@000001@3oool00`000000oooo0?ooo`0H 0?ooo`030000O`3oool0oooo02`0oooo00<000000?ooo`3oool0103oool00`0007l0oooo0?ooo`0b 0?ooo`030000003oool0oooo0080oooo000A0?ooo`030000003oool0oooo0380oooo00<0001o0?oo o`3oool01@3oool00`000000oooo0?ooo`0[0?ooo`030000O`3oool0oooo01P0oooo00<000000?oo o`3oool00P3oool300000080oooo00<000000?ooo`3oool03P3oool00`0007l0oooo0?ooo`0_0?oo o`040000003oool0oooo00000080oooo00<000000?ooo`3oool0<03oool00`0007l0oooo0?ooo`0= 0?ooo`030000003oool0oooo00<00000103oool00`000000oooo0?ooo`0H0?ooo`030000O`3oool0 oooo02`0oooo00<000000?ooo`3oool0103oool00`0007l0oooo0?ooo`0b0?ooo`030000003oool0 oooo0080oooo000A0?ooo`800000<`3oool00`0007l0oooo0?ooo`050?ooo`030000003oool0oooo 02/0oooo00<0001o0?ooo`3oool0603oool010000000oooo0?ooo`3oool3000000<0oooo00<00000 0?ooo`3oool03P3oool00`0007l0oooo0?ooo`0_0?ooo`040000003oool0oooo000000<0oooo00<0 00000?ooo`3oool0;`3oool00`0007l0oooo0?ooo`0=0?ooo`040000003oool0oooo0?ooo`<00000 103oool00`000000oooo0?ooo`0G0?ooo`030000O`3oool0oooo02`0oooo00<000000?ooo`3oool0 103oool00`0007l0oooo0?ooo`0a0?ooo`800000103oool00140oooo00<000000?ooo`3oool00?ooo`030000O`3oool0oooo02l0oooo00@000000?ooo`3oool00000 0P3oool00`000000oooo0?ooo`0`0?ooo`030000O`3oool0oooo00d0oooo00<000000?ooo`3oool0 0`3oool3000000030?ooo`000000oooo01T0oooo00<0001o0?ooo`3oool0;03oool00`000000oooo 0?ooo`040?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140oooo00<0 00000?ooo`3oool00?ooo`030000O`3oool0oooo 0380oooo00<000000?ooo`3oool00P3oool00140oooo00<000000?ooo`3oool00?ooo`030000003oool0oooo0280oooo00<0001o0?ooo`3oool0<`3oool00`0007l0 oooo0?ooo`0/0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool00`3oool00`000000 oooo0?ooo`0]0?ooo`030000O`3oool0oooo0380oooo00<0001o0?ooo`3oool08P3oool00`000000 oooo0?ooo`0>0?ooo`030000O`3oool0oooo0380oooo00<000000?ooo`3oool00P3oool00140oooo 00<000000?ooo`3oool00?ooo`030000003oool0oooo0280oooo00<0001o 0?ooo`3oool0"], ImageRangeCache->{{{0, 449}, {449, 0}} -> {-4.32401, -4.28201, 0.0186638, \ 0.0186638}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, FrontEndVersion->"4.0 for Microsoft Windows", ScreenRectangle->{{0, 1920}, {0, 1023}}, WindowSize->{702, 824}, WindowMargins->{{148, Automatic}, {Automatic, 3}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic} ] (*********************************************************************** 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, 759, 13, 170, "Input"], Cell[2479, 64, 635, 10, 210, "Input"], Cell[CellGroupData[{ Cell[3139, 78, 3330, 58, 790, "Input"], Cell[6472, 138, 130, 3, 29, "Output"], Cell[6605, 143, 142630, 2379, 458, 6713, 696, "GraphicsData", "PostScript", \ "Graphics"], Cell[149238, 2524, 130, 3, 29, "Output"], Cell[149371, 2529, 130, 3, 29, "Output"], Cell[149504, 2534, 151790, 2491, 458, 6753, 696, "GraphicsData", \ "PostScript", "Graphics"], Cell[301297, 5027, 130, 3, 29, "Output"] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)