This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 1999.11.16) 25 FEB 2003 15:55 **campbell4 (campbell4.tex LaTeX2e <1998/12/01> patch level 1 Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsart.cls Document Class: amsart 2000/10/26 v2.08 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip42 For additional information on amsmath, use the `?' option. (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amstext.sty Package: amstext 2000/06/29 v2.01 (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen104 )) (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count79 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count80 \leftroot@=\count81 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count82 \DOTSCASE@=\count83 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@=\box26 \strutbox@=\box27 \big@size=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count84 \c@MaxMatrixCols=\count85 \dotsspace@=\muskip10 \c@parentequation=\count86 \dspbrk@lvl=\count87 \tag@help=\toks15 \row@=\count88 \column@=\count89 \maxfields@=\count90 \andhelp@=\toks16 \eqnshift@=\dimen107 \alignsep@=\dimen108 \tagshift@=\dimen109 \tagwidth@=\dimen110 \totwidth@=\dimen111 \lineht@=\dimen112 \@envbody=\toks17 \multlinegap=\skip43 \multlinetaggap=\skip44 \mathdisplay@stack=\toks18 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) LaTeX Font Info: Try loading font information for U+msa on input line 395. (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 1995/01/05 v2.2e AMS font definitions ) (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 1997/09/17 v2.2e \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 133. ) \copyins=\insert233 \abstractbox=\box28 \listisep=\skip45 \c@part=\count91 \c@section=\count92 \c@subsection=\count93 \c@subsubsection=\count94 \c@paragraph=\count95 \c@subparagraph=\count96 \c@figure=\count97 \c@table=\count98 \abovecaptionskip=\skip46 \belowcaptionskip=\skip47 \captionindent=\dimen113 \thm@style=\toks19 \thm@bodyfont=\toks20 \thm@headfont=\toks21 \thm@notefont=\toks22 \thm@headpunct=\toks23 \thm@preskip=\skip48 \thm@postskip=\skip49 \thm@headsep=\skip50 \dth@everypar=\toks24 ) (/software/tetex-1.0/data/texmf/tex/latex/graphics/color.sty Package: color 1999/02/16 v1.0i Standard LaTeX Color (DPC) (/software/tetex-1.0/data/texmf/tex/latex/config/color.cfg) Package color Info: Driver file: dvips.def on input line 125. (/software/tetex-1.0/data/texmf/tex/latex/graphics/dvips.def File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR) ) (/software/tetex-1.0/data/texmf/tex/latex/graphics/dvipsnam.def File: dvipsnam.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR) )) (/software/tetex-1.0/data/texmf/tex/latex/hyperref/hyperref.sty Package: hyperref 2002/04/20 v6.72o Hypertext links for LaTeX (/software/tetex-1.0/data/texmf/tex/latex/graphics/keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks25 ) \@linkdim=\dimen114 \Hy@linkcounter=\count99 \Hy@pagecounter=\count100 (/software/tetex-1.0/data/texmf/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2002/04/20 v6.72o Hyperref: PDFDocEncoding definition (HO) ) Package hyperref Info: Option `colorlinks' set `true' on input line 1739. Package hyperref Info: Bookmarks ON on input line 1797. Package hyperref Info: Hyper figures OFF on input line 1816. Package hyperref Info: Link nesting OFF on input line 1821. Package hyperref Info: Hyper index ON on input line 1824. Package hyperref Info: Plain pages ON on input line 1829. Package hyperref Info: Backreferencing OFF on input line 1836. Implicit mode ON; LaTeX internals redefined (/software/tetex-1.0/data/texmf.local/tex/latex/uwpkgs/latex2html-98/url.sty Package: url 1996/02/06 ver 1.1 Verb mode for urls, email addresses, and file names ) LaTeX Info: Redefining \url on input line 2046. \Fld@menulength=\count101 \Field@Width=\dimen115 \Fld@charsize=\dimen116 \Choice@toks=\toks26 \Field@toks=\toks27 Package hyperref Info: Hyper figures OFF on input line 2504. Package hyperref Info: Link nesting OFF on input line 2509. Package hyperref Info: Hyper index ON on input line 2512. Package hyperref Info: backreferencing OFF on input line 2519. Package hyperref Info: Link coloring ON on input line 2522. \c@Item=\count102 \c@Hfootnote=\count103 ) *hyperref using default driver hypertex* (/software/tetex-1.0/data/texmf/tex/latex/hyperref/hypertex.def File: hypertex.def 2002/04/20 v6.72o Hyperref driver for HyperTeX specials ) (/software/tetex-1.0/data/texmf/tex/plain/dvips/epsf.tex This is `epsf.tex' v2.7k <10 July 1997> \epsffilein=\read1 \epsfframemargin=\dimen117 \epsfframethickness=\dimen118 \epsfrsize=\dimen119 \epsftmp=\dimen120 \epsftsize=\dimen121 \epsfxsize=\dimen122 \epsfysize=\dimen123 \pspoints=\dimen124 \epsfnoopenhelp=\toks28 ) \c@theorem=\count104 (campbell4.aux) \openout1 = `campbell4.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 66. LaTeX Font Info: ... okay on input line 66. LaTeX Font Info: Try loading font information for U+msa on input line 66. (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 66. (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 1995/01/05 v2.2e AMS font definitions ) Package hyperref Info: Link coloring ON on input line 66. (/software/tetex-1.0/data/texmf/tex/latex/hyperref/nameref.sty Package: nameref 2001/01/27 v2.19 Cross-referencing by name of section \c@section@level=\count105 ) LaTeX Info: Redefining \ref on input line 66. LaTeX Info: Redefining \pageref on input line 66. Class amsart Warning: Abstract should precede \maketitle in AMS documentclasses ; reported on input line 108. [1] Package amsfonts Warning: Obsolete command \Bbb; \mathbb should be used instead on input line 180. [2] [3] [4] Underfull \hbox (badness 7759) in paragraph at lines 377--380 []\OT1/cmr/m/n/10 C. Batut, K. Be-labas, D. Bernardi, H. Co-hen, and M. Olivier . The Pari sys-tem. [] Underfull \hbox (badness 10000) in paragraph at lines 393--398 []\OT1/cmr/m/n/10 Garikai Camp-bell. \OT1/cmr/m/it/10 Find-ing el-lip-tic curve s and in-fi-nite fam-i-lies of el-lip-tic curves de- [] Underfull \hbox (badness 6125) in paragraph at lines 393--398 \OT1/cmr/m/it/10 fined over $\OML/cmm/m/it/10 Q$ \OT1/cmr/m/it/10 of large rank \OT1/cmr/m/n/10 . PhD the-sis, Rut-gers Uni-ver-sity, June 1999. Avail-able at [] [5] (campbell4.aux) ) Here is how much of TeX's memory you used: 3138 strings out of 10901 39401 string characters out of 72120 283392 words of memory out of 502437 5911 multiletter control sequences out of 10000+0 12539 words of font info for 49 fonts, out of 400000 for 1000 175 hyphenation exceptions out of 1000 34i,7n,40p,242b,396s stack positions out of 300i,100n,500p,300000b,4000s Output written on campbell4.dvi (5 pages, 22940 bytes).