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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.0: CMMI12 003.002
%%Title: CMMI12
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI12.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMMI12 known{/CMMI12 findfont dup/UniqueID known{dup
/UniqueID get 5087386 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMMI12 def
/FontBBox {-31 -250 1026 750 }readonly def
/PaintType 0 def
/FontInfo 10 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI12.) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/ascent 750 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 88 /X put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMSY9
%!PS-AdobeFont-1.0: CMSY9 003.002
%%Title: CMSY9
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSY9.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMSY9 known{/CMSY9 findfont dup/UniqueID known{dup
/UniqueID get 5096650 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMSY9 def
/FontBBox {-29 -958 1146 777 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSY9.) readonly def
/FullName (CMSY9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMR6
%!PS-AdobeFont-1.0: CMR6 003.002
%%Title: CMR6
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR6.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR6 known{/CMR6 findfont dup/UniqueID known{dup
/UniqueID get 5000789 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR6 def
/FontBBox {-20 -250 1193 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR6.) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 50 /two put
dup 51 /three put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMMI9
%!PS-AdobeFont-1.0: CMMI9 003.002
%%Title: CMMI9
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI9.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMMI9 known{/CMMI9 findfont dup/UniqueID known{dup
/UniqueID get 5087384 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMMI9 def
/FontBBox {-29 -250 1075 750 }readonly def
/PaintType 0 def
/FontInfo 10 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI9.) readonly def
/FullName (CMMI9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/ascent 750 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 120 /x put
dup 121 /y put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMR9
%!PS-AdobeFont-1.0: CMR9 003.002
%%Title: CMR9
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR9.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR9 known{/CMR9 findfont dup/UniqueID known{dup
/UniqueID get 5000792 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR9 def
/FontBBox {-39 -250 1036 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR9.) readonly def
/FullName (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 45 /hyphen put
dup 49 /one put
dup 50 /two put
dup 55 /seven put
dup 58 /colon put
dup 61 /equal put
dup 97 /a put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 111 /o put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMBX9
%!PS-AdobeFont-1.0: CMBX9 003.002
%%Title: CMBX9
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX9.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMBX9 known{/CMBX9 findfont dup/UniqueID known{dup
/UniqueID get 5000767 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMBX9 def
/FontBBox {-58 -250 1195 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX9.) readonly def
/FullName (CMBX9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 55 /seven put
dup 56 /eight put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.0: CMR12 003.002
%%Title: CMR12
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR12.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR12 known{/CMR12 findfont dup/UniqueID known{dup
/UniqueID get 5000794 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR12 def
/FontBBox {-34 -251 988 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR12.) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 74 /J put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
currentdict end
currentfile eexec
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% Polyline
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% Polyline
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1906 3961 l 1878 3990 l 1850 4019 l 1823 4047 l 1797 4075 l
1771 4103 l 1746 4131 l 1721 4159 l 1697 4186 l 1674 4213 l
1652 4240 l 1630 4267 l 1609 4293 l 1589 4319 l 1569 4346 l
1550 4372 l 1531 4398 l 1513 4425 l 1493 4453 l 1475 4482 l
1456 4512 l 1438 4542 l 1421 4573 l 1403 4604 l 1386 4636 l
1369 4669 l 1352 4703 l 1335 4737 l 1319 4772 l 1304 4808 l
1289 4844 l 1274 4880 l 1260 4917 l 1246 4954 l 1233 4991 l
1221 5029 l 1209 5066 l 1198 5103 l 1188 5140 l 1178 5177 l
1169 5213 l 1162 5249 l 1154 5284 l 1148 5319 l 1143 5353 l
1138 5387 l 1134 5420 l 1131 5453 l 1128 5484 l 1126 5516 l
1125 5547 l 1125 5578 l 1125 5610 l 1127 5642 l 1128 5674 l
1131 5707 l 1134 5740 l 1138 5773 l 1143 5806 l 1148 5840 l
1153 5875 l 1159 5909 l 1166 5945 l 1173 5980 l 1180 6017 l
1188 6053 l 1196 6090 l 1203 6127 l 1211 6164 l 1219 6201 l
1227 6238 l 1235 6275 l 1243 6312 l 1250 6349 l 1257 6386 l
1264 6422 l 1270 6458 l 1276 6494 l 1282 6530 l 1286 6566 l
1291 6602 l 1294 6638 l 1298 6674 l 1300 6710 l 1302 6741 l
1303 6772 l 1303 6804 l 1304 6837 l 1304 6870 l 1303 6904 l
1303 6939 l 1301 6974 l 1300 7010 l 1298 7048 l 1297 7085 l
1294 7124 l 1292 7163 l 1289 7203 l 1287 7244 l 1284 7285 l
1281 7327 l 1278 7369 l 1275 7412 l 1272 7455 l 1269 7498 l
1266 7541 l 1263 7584 l 1261 7627 l 1258 7670 l 1256 7713 l
1253 7755 l 1252 7798 l 1250 7839 l 1249 7881 l 1247 7922 l
1247 7963 l 1246 8003 l 1246 8044 l 1247 8084 l 1247 8123 l
1248 8163 l 1250 8203 l 1252 8240 l 1254 8278 l 1257 8316 l
1260 8355 l 1264 8394 l 1269 8433 l 1273 8473 l 1279 8514 l
1285 8555 l 1292 8596 l 1299 8638 l 1307 8680 l 1315 8723 l
1325 8767 l 1334 8810 l 1345 8855 l 1356 8899 l 1368 8943 l
1381 8988 l 1394 9032 l 1407 9076 l 1422 9121 l 1437 9165 l
1452 9208 l 1468 9252 l 1485 9295 l 1502 9337 l 1520 9379 l
1538 9420 l 1556 9461 l 1575 9501 l 1594 9540 l 1614 9579 l
1634 9617 l 1655 9654 l 1676 9691 l 1697 9727 l 1719 9763 l
1742 9798 l 1765 9833 l 1787 9865 l 1809 9897 l 1831 9928 l
1855 9960 l 1879 9991 l 1905 10023 l 1931 10055 l 1959 10088 l
1988 10121 l 2018 10155 l 2049 10189 l 2082 10224 l 2117 10261 l
2153 10298 l 2192 10337 l 2231 10376 l 2273 10417 l 2316 10459 l
2361 10502 l 2408 10546 l 2456 10590 l 2505 10636 l 2555 10682 l
2606 10729 l 2657 10775 l 2708 10821 l 2758 10866 l 2807 10910 l
2855 10953 l 2900 10993 l 2943 11031 l 2983 11066 l 3019 11097 l
3051 11125 l 3078 11150 l 3102 11170 l 3121 11187 l 3137 11201 l
3148 11210 l 3156 11217 l 3161 11222 l 3164 11224 l 3165 11225 l gs col0 s gr
/Times-Italic ff 180.00 scf sf
3495 10350 m
gs 1 -1 sc (3) col0 sh gr
/Times-Italic ff 180.00 scf sf
6825 9900 m
gs 1 -1 sc (3) col0 sh gr
/Times-Italic ff 180.00 scf sf
6300 11625 m
gs 1 -1 sc (3) col0 sh gr
/Times-Italic ff 180.00 scf sf
5400 7125 m
gs 1 -1 sc (3) col0 sh gr
/Times-Italic ff 180.00 scf sf
1566 3947 m
gs 1 -1 sc (2) col0 sh gr
/Times-Italic ff 180.00 scf sf
6246 1867 m
gs 1 -1 sc (2) col0 sh gr
/Times-Italic ff 180.00 scf sf
4352 1182 m
gs 1 -1 sc (3) col0 sh gr
/Times-Italic ff 180.00 scf sf
3520 4122 m
gs 1 -1 sc (3) col0 sh gr
/Times-Italic ff 180.00 scf sf
1865 9494 m
gs 1 -1 sc (3) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 6075 m
gs 1 -1 sc (B) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 3225 m
gs 1 -1 sc (A) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 1770 m
gs 1 -1 sc (D) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 7821 m
gs 1 -1 sc (F) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 10740 m
gs 1 -1 sc (G) col0 sh gr
/Times-Roman ff 180.00 scf sf
750 12600 m
gs 1 -1 sc (H) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 600 m
gs 1 -1 sc (E) col0 sh gr
/Times-Roman ff 180.00 scf sf
7500 4650 m
gs 1 -1 sc (C) col0 sh gr
45.000 slw
% Ellipse
n 1866 3987 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 3785 4178 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 4363 1482 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 6390 2100 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 5570 7335 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 6900 10395 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 6519 11845 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 3426 10476 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
% Ellipse
n 1504 9417 85 85 0 360 DrawEllipse gs col8 1.00 shd ef gr gs col0 s gr
$F2psEnd
rs
%%EndDocument
@endspecial 515 2891 a
/End PSfrag
515 2891 a 515 1623 a
/Hide PSfrag
515 1623
a -354 1692 a Fh(PSfrag)32 b(replacemen)m(ts)p -354 1725
869 4 v 515 1728 a
/Unhide PSfrag
515 1728 a 466 1844 a
{
466 1844 a Fh(2)466
1844 y
} 0/Place PSfrag
466 1844 a 466 1961 a
{
466 1961 a Fh(3)466 1961
y
} 1/Place PSfrag
466 1961 a -254 2062 a
{
-254 2062 a Fg(243A)p Ff(:)27
b Fe(y)34 2031 y Fd(2)85 2062 y Ff(+)16 b Fe(y)24 b Ff(=)d
Fe(x)348 2031 y Fd(3)400 2062 y Fc(\000)16 b Ff(1)-254
2062 y
} 2/Place PSfrag
-254 2062 a -250 2178 a
{
-250 2178 a Fg(243B)p
Ff(:)27 b Fe(y)34 2147 y Fd(2)85 2178 y Ff(+)16 b Fe(y)24
b Ff(=)d Fe(x)348 2147 y Fd(3)400 2178 y Ff(+)16 b(2)-250
2178 y
} 3/Place PSfrag
-250 2178 a 38 2309 a
{
38 2309 a Fg(243C)p Ff(:)27
b(surface)38 2309 y
} 4/Place PSfrag
38 2309 a 34 2426 a
{
34 2426 a Fg(243D)p
Ff(:)g(surface)34 2426 y
} 5/Place PSfrag
34 2426 a -45 2542 a
{
-45 2542
a Fg(243E)p Ff(:)f(three-fold)-45 2542 y
} 6/Place PSfrag
-45 2542 a -43
2658 a
{
-43 2658 a Fg(243F)p Ff(:)g(three-fold)-43 2658
y
} 7/Place PSfrag
-43 2658 a -313 2759 a
{
-313 2759 a Ff(images)h(of)g
Fg(81A)p Ff(:)f(four-fold)-313 2759 y
} 8/Place PSfrag
-313 2759 a -965
2872 a
{
-965 2872 a Ff(images)h(of)f Fg(27A)g Ff(\()p
Fe(y)-374 2840 y Fd(2)-323 2872 y Ff(+)17 b Fe(y)24 b
Ff(=)d Fe(x)-59 2840 y Fd(3)-8 2872 y Fc(\000)c Ff(7\):)34
b(three-fold)-965 2872 y
} 9/Place PSfrag
-965 2872 a 1445 3209 a Fh(The)f(Jacobian)g
(of)f Fb(X)2245 3224 y Fa(0)2284 3209 y Fh(\(243\))p
eop end
%%Trailer
userdict /end-hook known{end-hook}if
%%EOF
