This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 2004.5.14) 23 AUG 2005 13:54 **cameron45 (cameron45.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/base/article.cls Document Class: article 1999/01/07 v1.4a Standard LaTeX document class (/software/tetex-1.0/data/texmf/tex/latex/base/size12.clo File: size12.clo 1999/01/07 v1.4a Standard LaTeX file (size option) ) \c@part=\count79 \c@section=\count80 \c@subsection=\count81 \c@subsubsection=\count82 \c@paragraph=\count83 \c@subparagraph=\count84 \c@figure=\count85 \c@table=\count86 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (/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/amsfonts/amssymb.sty Package: amssymb 1996/11/03 v2.2b (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 1997/09/17 v2.2e \@emptytoks=\toks14 \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. )) (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amscd.sty Package: amscd 1999/11/29 v2.0 (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks15 \ex@=\dimen103 ) \athelp@=\toks16 \minaw@=\dimen104 \bigaw@=\dimen105 \minCDarrowwidth=\dimen106 ) (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip43 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/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen107 ) (/software/tetex-1.0/data/texmf/tex/latex/amslatex/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@=\box26 \strutbox@=\box27 \big@size=\dimen108 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=\toks17 \row@=\count96 \column@=\count97 \maxfields@=\count98 \andhelp@=\toks18 \eqnshift@=\dimen109 \alignsep@=\dimen110 \tagshift@=\dimen111 \tagwidth@=\dimen112 \totwidth@=\dimen113 \lineht@=\dimen114 \@envbody=\toks19 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks20 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) (/software/tetex-1.0/data/texmf/tex/latex/amslatex/amsthm.sty Package: amsthm 2000/10/26 v2.08 \thm@style=\toks21 \thm@bodyfont=\toks22 \thm@headfont=\toks23 \thm@notefont=\toks24 \thm@headpunct=\toks25 \thm@preskip=\skip46 \thm@postskip=\skip47 \thm@headsep=\skip48 \dth@everypar=\toks26 ) (/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@=\toks27 ) \@linkdim=\dimen115 \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/html/url.sty Package: url 1999/03/02 ver 1.4 Verb mode for urls, email addresses, and file names ) LaTeX Info: Redefining \url on input line 2046. \Fld@menulength=\count101 \Field@Width=\dimen116 \Fld@charsize=\dimen117 \Choice@toks=\toks28 \Field@toks=\toks29 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/latex/misc/fullpage.sty Style Option FULLPAGE Version 2 as of 15 Dec 1988 ) (/software/tetex-1.0/data/texmf/tex/latex/misc/float.sty Package: float 1999/05/29 v1.2d Float enhancements (AL) \c@float@type=\count104 \float@box=\box28 \@floatcapt=\box29 ) (/software/tetex-1.0/data/texmf/tex/generic/misc/psfig.sty \@unused=\write3 \ps@stream=\read1 \p@intvaluex=\dimen118 \p@intvaluey=\dimen119 psfig/tex 1.10-dvips ) (/software/tetex-1.0/data/texmf/tex/latex/graphics/graphics.sty Package: graphics 1999/02/16 v1.0l Standard LaTeX Graphics (DPC,SPQR) (/software/tetex-1.0/data/texmf/tex/latex/graphics/trig.sty Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) (/software/tetex-1.0/data/texmf/tex/latex/config/graphics.cfg) Package graphics Info: Driver file: dvips.def on input line 80. ) (/software/tetex-1.0/data/texmf/tex/latex/base/latexsym.sty Package: latexsym 1998/08/17 v2.2e Standard LaTeX package (lasy symbols) \symlasy=\mathgroup6 LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' (Font) U/lasy/m/n --> U/lasy/b/n on input line 29. ) (/software/tetex-1.0/data/texmf/tex/plain/dvips/epsf.tex This is `epsf.tex' v2.7k <10 July 1997> \epsffilein=\read2 \epsfframemargin=\dimen120 \epsfframethickness=\dimen121 \epsfrsize=\dimen122 \epsftmp=\dimen123 \epsftsize=\dimen124 \epsfxsize=\dimen125 \epsfysize=\dimen126 \pspoints=\dimen127 \epsfnoopenhelp=\toks30 ) \c@lemma=\count105 \c@identity=\count106 \c@question=\count107 \c@definition=\count108 \c@prop=\count109 \c@example=\count110 (cameron45.aux) \openout1 = `cameron45.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 64. LaTeX Font Info: ... okay on input line 64. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 64. LaTeX Font Info: ... okay on input line 64. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 64. LaTeX Font Info: ... okay on input line 64. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 64. LaTeX Font Info: ... okay on input line 64. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 64. LaTeX Font Info: ... okay on input line 64. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 64. LaTeX Font Info: ... okay on input line 64. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 64. LaTeX Font Info: ... okay on input line 64. Package hyperref Info: Link coloring ON on input line 64. (/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=\count111 ) LaTeX Info: Redefining \ref on input line 64. LaTeX Info: Redefining \pageref on input line 64. LaTeX Warning: Citation `Riordangroup' on page 1 undefined on input line 106. LaTeX Warning: Citation `sprugnoli' on page 1 undefined on input line 106. LaTeX Font Info: Try loading font information for U+msa on input line 106. (/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 106. (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for U+lasy on input line 106. (/software/tetex-1.0/data/texmf/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2eLaTeX symbol font definitions ) Package amsmath Warning: Foreign command \over; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 120. [1 ] LaTeX Warning: Citation `merlini' on page 2 undefined on input line 127. LaTeX Warning: Citation `rogers' on page 2 undefined on input line 127. LaTeX Warning: Citation `nkwanta1' on page 2 undefined on input line 136. LaTeX Warning: Citation `nkwanta2' on page 2 undefined on input line 136. LaTeX Warning: Citation `nkwanta3' on page 2 undefined on input line 136. LaTeX Warning: Citation `sprugnoli' on page 2 undefined on input line 136. LaTeX Warning: Citation `sprugnoli2' on page 2 undefined on input line 136. LaTeX Warning: Citation `Shapiro' on page 2 undefined on input line 143. LaTeX Warning: Citation `cameron' on page 2 undefined on input line 151. LaTeX Warning: Citation `Shapiro' on page 2 undefined on input line 151. [2] Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 207. LaTeX Warning: Citation `Shapiro' on page 3 undefined on input line 211. LaTeX Warning: Reference `rna' on page 3 undefined on input line 215. LaTeX Warning: Reference `motgf' on page 3 undefined on input line 216. LaTeX Warning: Citation `Shapiro2' on page 3 undefined on input line 246. [3] LaTeX Warning: Citation `nkwanta3' on page 4 undefined on input line 277. [4] LaTeX Warning: Citation `PW' on page 5 undefined on input line 303. LaTeX Warning: Citation `PW' on page 5 undefined on input line 337. [5] LaTeX Warning: Reference `R*' on page 6 undefined on input line 379. LaTeX Warning: Reference `thetaclass' on page 6 undefined on input line 379. LaTeX Warning: Reference `R*' on page 6 undefined on input line 385. LaTeX Warning: Reference `thetaclass' on page 6 undefined on input line 385. LaTeX Warning: Reference `catgf' on page 6 undefined on input line 385. [6] LaTeX Warning: Citation `ballsonthelawn' on page 7 undefined on input line 435. LaTeX Warning: Citation `Stanley2' on page 7 undefined on input line 435. LaTeX Warning: Reference `4^n' on page 7 undefined on input line 443. LaTeX Warning: Citation `callan' on page 7 undefined on input line 443. LaTeX Warning: Reference `4^n_identity' on page 7 undefined on input line 452. LaTeX Warning: Reference `4^n_identity' on page 7 undefined on input line 452. [7] LaTeX Warning: Reference `phi map 1' on page 8 undefined on input line 455. LaTeX Warning: Reference `phi map 2' on page 8 undefined on input line 455. [8] LaTeX Warning: Reference `4^n_identity' on page 9 undefined on input line 589. LaTeX Warning: Reference `4^n_generalidentity' on page 9 undefined on input lin e 596. LaTeX Warning: Reference `thetaclass' on page 9 undefined on input line 596. LaTeX Warning: Reference `4^n_identity' on page 9 undefined on input line 596. LaTeX Warning: Reference `R*' on page 9 undefined on input line 601. LaTeX Warning: Reference `thetaclass' on page 9 undefined on input line 601. LaTeX Warning: Reference `schgf' on page 9 undefined on input line 601. [9] LaTeX Warning: Reference `6^n-1' on page 10 undefined on input line 651. [10] LaTeX Warning: Reference `6^n-1' on page 11 undefined on input line 658. LaTeX Warning: Reference `schform' on page 11 undefined on input line 658. LaTeX Warning: Reference `thetaclass' on page 11 undefined on input line 666. ! Missing $ inserted. $ l.671 Note that $D_ {n}=A^{-n}D_{0}A^{n}$, where $D_{0}=\left( g\left( z\rig... ? e Here is how much of TeX's memory you used: 3581 strings out of 10901 44757 string characters out of 272121 288856 words of memory out of 507901 6489 multiletter control sequences out of 10000+30000 13578 words of font info for 53 fonts, out of 400000 for 1000 14 hyphenation exceptions out of 1000 25i,12n,25p,1471b,540s stack positions out of 300i,100n,500p,300000b,4000s Output written on cameron45.dvi (10 pages, 54716 bytes).