This is e-TeX, Version 3.14159-2.1 (Web2C 7.4.5) (format=latex 2005.5.18) 11 JUL 2005 15:49 entering extended mode **\nonstopmode\input bsd.tex (./bsd.tex (/usr/share/texmf/tex/latex/base/slides.cls Document Class: slides 1997/08/15 v2.3z Standard LaTeX document class (/usr/share/texmf/tex/latex/base/slides.def File: slides.def 1997/08/15 v2.3z SLiTeX definitions hacks, slides, \c@page=\count79 picture, mods, \@smashboxa=\box26 \@smashboxb=\box27 \@smashboxc=\box28 output, init) (/usr/share/texmf/tex/latex/base/sfonts.def File: sfonts.def 1998/06/12 v2.2e Standard LaTeX slide font definitions (/usr/share/texmf/tex/latex/base/ot1lcmss.fd File: ot1lcmss.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions )) \c@minutes=\count80 \c@seconds=\count81 \c@mv@invisible=\count82 LaTeX Font Info: Overwriting symbol font `operators' in version `normal' (Font) OT1/cmr/m/n --> OT1/lcmss/m/n on input line 364. 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(/usr/share/texmf/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texmf/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks21 \ex@=\dimen102 )) (/usr/share/texmf/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen103 ) (/usr/share/texmf/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count87 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count88 \leftroot@=\count89 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count90 \DOTSCASE@=\count91 LaTeX Info: Redefining \ldots on input line 379. LaTeX Info: Redefining \dots on input line 382. LaTeX Info: Redefining \cdots on input line 467. \Mathstrutbox@=\box29 \strutbox@=\box30 \big@size=\dimen104 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count92 \c@MaxMatrixCols=\count93 \dotsspace@=\muskip10 \c@parentequation=\count94 \dspbrk@lvl=\count95 \tag@help=\toks22 \row@=\count96 \column@=\count97 \maxfields@=\count98 \andhelp@=\toks23 \eqnshift@=\dimen105 \alignsep@=\dimen106 \tagshift@=\dimen107 \tagwidth@=\dimen108 \totwidth@=\dimen109 \lineht@=\dimen110 \@envbody=\toks24 \multlinegap=\skip46 \multlinetaggap=\skip47 \mathdisplay@stack=\toks25 LaTeX Info: Redefining \[ on input line 2666. 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Package hyperref Info: Link coloring OFF on input line 2533. \c@Item=\count102 \c@Hfootnote=\count103 ) *hyperref using driver hypertex* (/usr/share/texmf/tex/latex/hyperref/hypertex.def File: hypertex.def 2003/01/22 v6.73n Hyperref driver for HyperTeX specials ) (/usr/share/texmf/tex/latex/pstricks/pstricks.sty Package: pstricks 1997/03/25 package wrapper for PSTricks pstricks.tex (/usr/share/texmf/tex/generic/pstricks/pstricks.tex `PSTricks' v97 patch 14 <1999/12/23> (tvz) \pst@dima=\dimen117 \pst@dimb=\dimen118 \pst@dimc=\dimen119 \pst@dimd=\dimen120 \pst@dimg=\dimen121 \pst@dimh=\dimen122 \pst@hbox=\box33 \pst@boxg=\box34 \pst@cnta=\count104 \pst@cntb=\count105 \pst@cntc=\count106 \pst@cntd=\count107 \pst@cntg=\count108 \pst@cnth=\count109 \pst@toks=\toks33 (/usr/share/texmf/tex/generic/pstricks/pstricks.con) \psunit=\dimen123 \psxunit=\dimen124 \psyunit=\dimen125 \pslinewidth=\dimen126 \pst@customdefs=\toks34 \pslinearc=\dimen127 \everypsbox=\toks35 \psframesep=\dimen128 \pslabelsep=\dimen129 \theoverlaybox=\box35 )) LaTeX Warning: Unused global option(s): [10pt]. (./bsd.aux) \openout1 = `bsd.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 128. LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 128. LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for OT1/lcmss/m/n on input line 128. LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 128. LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 128. LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 128. LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for OT2/lcmss/m/n on input line 128. LaTeX Font Info: Try loading font information for OT2+lcmss on input line 12 8. (/usr/share/texmf/tex/latex/cyrillic/ot2lcmss.fd File: ot2lcmss.fd 2001/08/11 v3.2c Computer Modern Cyrillic font definitions ) LaTeX Font Info: ... okay on input line 128. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 128. LaTeX Font Info: ... okay on input line 128. Package hyperref Info: Link coloring OFF on input line 128. (/usr/share/texmf/tex/latex/hyperref/nameref.sty Package: nameref 2001/01/27 v2.19 Cross-referencing by name of section \c@section@level=\count110 ) LaTeX Info: Redefining \ref on input line 128. LaTeX Info: Redefining \pageref on input line 128. File: pics/cremona2.eps Graphic file (type eps) File: pics/cremona2mirror.eps Graphic file (type eps) LaTeX Font Info: Try loading font information for OT1+lcmtt on input line 13 8. (/usr/share/texmf/tex/latex/base/ot1lcmtt.fd File: ot1lcmtt.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions ) [1 ] File: pics/group2.eps Graphic file (type eps) [2] LaTeX Font Warning: Font shape `OT1/lcmss/m/sc' undefined (Font) using `OT1/lcmss/m/n' instead on input line 171. LaTeX Font Info: Try loading font information for OML+lcmm on input line 171 . (/usr/share/texmf/tex/latex/base/omllcmm.fd File: omllcmm.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions ) LaTeX Font Info: Try loading font information for OMS+lcmsy on input line 17 1. (/usr/share/texmf/tex/latex/base/omslcmsy.fd File: omslcmsy.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions ) LaTeX Font Info: Try loading font information for OMX+lcmex on input line 17 1. (/usr/share/texmf/tex/latex/base/omxlcmex.fd File: omxlcmex.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions ) LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <19.907> on input line 171. LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <16.59> on input line 171. LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <13.82> on input line 171. LaTeX Font Info: Try loading font information for U+msa on input line 171. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Warning: Font shape `U/msa/m/n' in size <19.907> not available (Font) size <20.74> substituted on input line 171. LaTeX Font Warning: Font shape `U/msa/m/n' in size <16.59> not available (Font) size <17.28> substituted on input line 171. LaTeX Font Warning: Font shape `U/msa/m/n' in size <13.82> not available (Font) size <14.4> substituted on input line 171. LaTeX Font Info: Try loading font information for U+msb on input line 171. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Warning: Font shape `U/msb/m/n' in size <19.907> not available (Font) size <20.74> substituted on input line 171. LaTeX Font Warning: Font shape `U/msb/m/n' in size <16.59> not available (Font) size <17.28> substituted on input line 171. LaTeX Font Warning: Font shape `U/msb/m/n' in size <13.82> not available (Font) size <14.4> substituted on input line 171. [3] [4] [5] File: pics/birch1.eps Graphic file (type eps) [6] File: pics/bsd1.eps Graphic file (type eps) [7] LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <28.66> on input line 255. LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <23.89> on input line 255. LaTeX Font Warning: Font shape `U/msa/m/n' in size <28.66> not available (Font) size <24.88> substituted on input line 255. LaTeX Font Warning: Font shape `U/msa/m/n' in size <23.89> not available (Font) size <24.88> substituted on input line 255. LaTeX Font Warning: Font shape `U/msb/m/n' in size <28.66> not available (Font) size <24.88> substituted on input line 255. LaTeX Font Warning: Font shape `U/msb/m/n' in size <23.89> not available (Font) size <24.88> substituted on input line 255. File: pics/wiles1.eps Graphic file (type eps) File: pics/hecke_in_front.eps Graphic file (type eps) Overfull \hbox (13.52698pt too wide) detected at line 255 \OML/lcmm/m/it/19.907 L[]\OT1/lcmss/m/n/19.907 (\OML/lcmm/m/it/19.907 E; \OT1/l cmss/m/n/19.907 1) = [] [] = [] [] = [] [] [] [8] File: pics/lser.eps Graphic file (type eps) [9] File: pics/many_lser.eps Graphic file (type eps) [10] File: pics/abs_elseries-37A.eps Graphic file (type eps) [11] File: pics/birch_and_swinnerton-dyer.eps Graphic file (type eps) [12] File: pics/koly.eps Graphic file (type eps) File: pics/zagier.eps Graphic file (type eps) File: pics/gross.eps Graphic file (type eps) [13] LaTeX Font Info: Try loading font information for OT2+wncyr on input line 36 8. (/usr/share/texmf/tex/latex/cyrillic/ot2wncyr.fd File: ot2wncyr.fd 1999/12/17 v3.2a Computer Modern Cyrillic font definitions ) LaTeX Font Warning: Font shape `OT2/wncyr/m/n' in size <23.89> not available (Font) size <24.88> substituted on input line 368. LaTeX Font Warning: Font shape `OT2/wncyr/m/n' in size <19.907> not available (Font) size <20.74> substituted on input line 368. [14] [15] File: pics/cremona-2005-07.eps Graphic file (type eps) [16] [17] [18] ! Missing number, treated as zero. \c@section l.447 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.447 } Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.447 } Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.447 } I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. [19] Overfull \hbox (8.71252pt too wide) in paragraph at lines 465--465 []\OT1/lcmss/m/n/19.907 All of the quan-ti-ties in the BSD con-jec-ture, []\OT1 /lcmss/bx/n/19.907 ex-cept[] \OT1/lcmss/m/n/19.907 for $#[](\OML/lcmm/m/it/19.9 07 E=\U/msb/m/n/20.74 Q\OT1/lcmss/m/n/19.907 )$, [] Overfull \hbox (3.41922pt too wide) in paragraph at lines 465--465 \OT1/lcmss/m/n/19.907 four op-ti-mal curves with con-jec-turally non-triv-ial $ [](\OML/lcmm/m/it/19.907 E\OT1/lcmss/m/n/19.907 )$: 571A, [] [20] ! Missing number, treated as zero. \c@section l.488 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) [21] File: pics/kolyvagin-ny.eps Graphic file (type eps) ! LaTeX Error: \begin{slide} on input line 495 ended by \end{center}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.495 } Your command was ignored. Type I to replace it with another command, or to continue without it. [22] ! LaTeX Error: \begin{document} ended by \end{slide}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.495 } Your command was ignored. Type I to replace it with another command, or to continue without it. ! Extra \endgroup. \endgroup l.495 } Things are pretty mixed up, but I think the worst is over. ! Missing number, treated as zero. \c@section l.516 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) [23] LaTeX Font Warning: Font shape `OT2/wncyr/m/n' in size <28.66> not available (Font) size <24.88> substituted on input line 538. [24] [25] Overfull \hbox (39.34528pt too wide) in paragraph at lines 574--574 []\OT1/lcmss/m/n/19.907 Using MAGMA's \OT1/lcmtt/m/n/19.907 FourDescent \OT1/lc mss/m/n/19.907 com-mand, we com-pute $[][](\OML/lcmm/m/it/19.907 E=\U/msb/m/n/2 0.74 Q\OT1/lcmss/m/n/19.907 )$ [] [26] [27] [28] ! Missing number, treated as zero. \c@section l.666 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <12> on input line 666. LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <7> on input line 666. LaTeX Font Warning: Font shape `OT1/lcmss/m/sl' in size <12> not available (Font) size <13.82> substituted on input line 666. LaTeX Font Warning: Font shape `OT1/lcmss/m/sl' in size <7> not available (Font) size <13.82> substituted on input line 666. ! Missing number, treated as zero. \c@section l.666 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) [29] ! Missing number, treated as zero. \c@section l.696 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Missing number, treated as zero. \c@section l.696 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Missing number, treated as zero. \c@section l.696 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) [30] Overfull \hbox (8.4941pt too wide) in paragraph at lines 730--730 []\OT1/lcmss/m/n/19.907 If $\OML/lcmm/m/it/19.907 E\OT1/lcmss/m/n/19.907 (\OML/ lcmm/m/it/19.907 K\OT1/lcmss/m/n/19.907 )$ too dif-fi-cult to com-pute, can som e-times use the Cremona- [] ! Missing number, treated as zero. \c@section l.730 } A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) [31] Overfull \hbox (14.43547pt too wide) in paragraph at lines 753--753 []\OT1/lcmss/m/n/19.907 In many cases with $\OML/lcmm/m/it/19.907 r[] \OT1/lcms s/m/n/19.907 = 1$, there is a big Tam-a-gawa number--- [] [32] [33] LaTeX Font Warning: Font shape `OT2/wncyr/m/n' in size <16.59> not available (Font) size <17.28> substituted on input line 806. [34] (./bsd.aux) LaTeX Font Warning: Size substitutions with differences (Font) up to 6.82pt have occurred. LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) Here is how much of TeX's memory you used: 4289 strings out of 95755 54142 string characters out of 1194953 107976 words of memory out of 1000001 7215 multiletter control sequences out of 10000+50000 16563 words of font info for 60 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 1000 27i,9n,24p,237b,285s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on bsd.dvi (34 pages, 32488 bytes).