This is pdfTeX, Version 3.141592-1.40.0-rc4 (Web2C 7.5.5) (format=pdflatex 2007.1.7) 18 JAN 2008 15:55 entering extended mode **manual (./manual.tex LaTeX2e <2005/12/01> Babel <v3.8h> and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, basque, bulgarian, coptic, welsh, czech, slovak, german, ngerman, d anish, spanish, catalan, galician, esperanto, estonian, finnish, french, greek, monogreek, ancientgreek, croatian, hungarian, interlingua, ibycus, indonesian, icelandic, italian, latin, mongolian, dutch, norsk, polish, portuguese, pinyin , romanian, russian, slovene, uppersorbian, serbian, swedish, turkish, ukenglis h, ukrainian, loaded. (/usr/local/gwTeX/texmf.texlive/tex/latex/base/report.cls Document Class: report 2005/09/16 v1.4f Standard LaTeX document class (/usr/local/gwTeX/texmf.texlive/tex/latex/base/size11.clo File: size11.clo 2005/09/16 v1.4f Standard LaTeX file (size option) ) \c@part=\count79 \c@chapter=\count80 \c@section=\count81 \c@subsection=\count82 \c@subsubsection=\count83 \c@paragraph=\count84 \c@subparagraph=\count85 \c@figure=\count86 \c@table=\count87 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (/usr/local/gwTeX/texmf.texlive/tex/latex/ltxmisc/a4wide.sty Package: a4wide 1994/08/30 (/usr/local/gwTeX/texmf.texlive/tex/latex/ntgclass/a4.sty Package: a4 2004/04/15 v1.2g A4 based page layout )) (/usr/local/gwTeX/texmf.texlive/tex/latex/amsfonts/amssymb.sty Package: amssymb 2002/01/22 v2.2d (/usr/local/gwTeX/texmf.texlive/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \@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 132. )) (/usr/local/gwTeX/texmf.texlive/tex/latex/base/inputenc.sty Package: inputenc 2006/05/05 v1.1b Input encoding file \inpenc@prehook=\toks15 \inpenc@posthook=\toks16 (/usr/local/gwTeX/texmf.texlive/tex/latex/base/latin1.def File: latin1.def 2006/05/05 v1.1b Input encoding file )) (/usr/local/gwTeX/texmf.texlive/tex/latex/base/makeidx.sty Package: makeidx 2000/03/29 v1.0m Standard LaTeX package ) \@indexfile=\write3 \openout3 = `manual.idx'. Writing index file manual.idx (/usr/local/gwTeX/texmf.texlive/tex/latex/graphics/color.sty Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC) (/usr/local/gwTeX/texmf.texlive/tex/latex/config/color.cfg File: color.cfg 2001/08/31 v1.1 color configuration of teTeX/TeXLive ) Package color Info: Driver file: pdftex.def on input line 130. (/usr/local/gwTeX/texmf.texlive/tex/latex/pdftex-def/pdftex.def File: pdftex.def 2006/08/14 v0.03t Graphics/color for pdfTeX \Gread@gobject=\count88 )) (/usr/local/gwTeX/texmf.texlive/tex/latex/fancyvrb/fancyvrb.sty Package: fancyvrb 1998/07/17 Style option: `fancyvrb' v2.6, with DG/SPQR fixes <1998/07/17> (tvz) (/usr/local/gwTeX/texmf.texlive/tex/latex/graphics/keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks17 ) \FV@CodeLineNo=\count89 \FV@InFile=\read1 \FV@TabBox=\box26 \c@FancyVerbLine=\count90 \FV@StepNumber=\count91 \FV@OutFile=\write4 No file fancyvrb.cfg. ) (/usr/local/gwTeX/texmf.texlive/tex/latex/pslatex/pslatex.sty Package: pslatex 1996/07/24 v1.2 pslatex emulation (DPC) LaTeX Font Info: Redeclaring symbol font `operators' on input line 65. LaTeX Font Info: Overwriting symbol font `operators' in version `normal' (Font) OT1/cmr/m/n --> OT1/ptmcm/m/n on input line 65. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' (Font) OT1/cmr/bx/n --> OT1/ptmcm/m/n on input line 65. LaTeX Font Info: Redeclaring symbol font `letters' on input line 66. LaTeX Font Info: Overwriting symbol font `letters' in version `normal' (Font) OML/cmm/m/it --> OML/ptmcm/m/it on input line 66. LaTeX Font Info: Overwriting symbol font `letters' in version `bold' (Font) OML/cmm/b/it --> OML/ptmcm/m/it on input line 66. LaTeX Font Info: Redeclaring symbol font `symbols' on input line 67. LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' (Font) OMS/cmsy/m/n --> OMS/pzccm/m/n on input line 67. LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' (Font) OMS/cmsy/b/n --> OMS/pzccm/m/n on input line 67. LaTeX Font Info: Redeclaring symbol font `largesymbols' on input line 68. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' (Font) OMX/cmex/m/n --> OMX/psycm/m/n on input line 68. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' (Font) OMX/cmex/m/n --> OMX/psycm/m/n on input line 68. \symbold=\mathgroup6 \symitalic=\mathgroup7 LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 74. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' (Font) OT1/cmr/bx/n --> OT1/ptm/bx/n on input line 74. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/cmr/bx/n --> OT1/ptm/bx/n on input line 74. LaTeX Font Info: Redeclaring math alphabet \mathit on input line 75. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' (Font) OT1/cmr/m/it --> OT1/ptm/m/it on input line 75. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/cmr/bx/it --> OT1/ptm/m/it on input line 75. ) (/usr/local/gwTeX/texmf.texlive/tex/latex/hyperref/hyperref.sty Package: hyperref 2006/12/21 v6.75j Hypertext links for LaTeX \@linkdim=\dimen103 \Hy@linkcounter=\count92 \Hy@pagecounter=\count93 (/usr/local/gwTeX/texmf.texlive/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2006/12/21 v6.75j Hyperref: PDFDocEncoding definition (HO) ) (/usr/local/gwTeX/texmf.texlive/tex/latex/config/hyperref.cfg File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive ) (/usr/local/gwTeX/texmf.texlive/tex/latex/oberdiek/kvoptions.sty Package: kvoptions 2006/08/22 v2.4 Connects package keyval with LaTeX options ( HO) ) Package hyperref Info: Option `bookmarks' set `false' on input line 2212. Package hyperref Info: Option `colorlinks' set `true' on input line 2212. Package hyperref Info: Option `breaklinks' set `true' on input line 2212. Package hyperref Info: Hyper figures OFF on input line 2262. Package hyperref Info: Link nesting OFF on input line 2267. Package hyperref Info: Hyper index ON on input line 2270. Package hyperref Info: Plain pages OFF on input line 2277. Package hyperref Info: Backreferencing ON on input line 2280. Implicit mode ON; LaTeX internals redefined Package hyperref Info: Bookmarks OFF on input line 2418. (/usr/local/gwTeX/texmf.texlive/tex/latex/hyperref/backref.sty Package: backref 2006/10/06 v1.27 Bibliographical back referencing ) (/usr/local/gwTeX/texmf.texlive/tex/latex/ltxmisc/url.sty \Urlmuskip=\muskip10 Package: url 2005/06/27 ver 3.2 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 2567. \Fld@menulength=\count94 \Field@Width=\dimen104 \Fld@charsize=\dimen105 \Choice@toks=\toks18 \Field@toks=\toks19 Package hyperref Info: Hyper figures OFF on input line 3045. Package hyperref Info: Link nesting OFF on input line 3050. Package hyperref Info: Hyper index ON on input line 3053. Package hyperref Info: backreferencing ON on input line 3058. Package hyperref Info: Link coloring ON on input line 3063. \Hy@abspage=\count95 \c@Item=\count96 \c@Hfootnote=\count97 ) *hyperref using driver hpdftex* (/usr/local/gwTeX/texmf.texlive/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2006/12/21 v6.75j Hyperref driver for pdfTeX \Fld@listcount=\count98 ) \pagenrlog=\write5 \openout5 = `manual.pnr'. (./manual.aux) \openout1 = `manual.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 43. LaTeX Font Info: ... okay on input line 43. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 43. LaTeX Font Info: ... okay on input line 43. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 43. LaTeX Font Info: ... okay on input line 43. LaTeX Font Info: Checking defaults for OMS/pzccm/m/n on input line 43. LaTeX Font Info: Try loading font information for OMS+pzccm on input line 43 . (/usr/local/gwTeX/texmf.texlive/tex/latex/psnfss/omspzccm.fd File: omspzccm.fd 2000/01/03 Fontinst v1.801 font definitions for OMS/pzccm. ) LaTeX Font Info: ... okay on input line 43. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 43. LaTeX Font Info: ... okay on input line 43. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 43. LaTeX Font Info: ... okay on input line 43. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 43. LaTeX Font Info: ... okay on input line 43. (/usr/local/gwTeX/texmf.texlive/tex/context/base/supp-pdf.tex [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count99 \scratchdimen=\dimen106 \scratchbox=\box27 \nofMPsegments=\count100 \nofMParguments=\count101 \MPscratchCnt=\count102 \MPscratchDim=\dimen107 \MPnumerator=\count103 \everyMPtoPDFconversion=\toks20 ) Package hyperref Info: Link coloring ON on input line 43. (/usr/local/gwTeX/texmf.texlive/tex/latex/hyperref/nameref.sty Package: nameref 2006/12/21 v2.27 Cross-referencing by name of section (/usr/local/gwTeX/texmf.texlive/tex/latex/oberdiek/refcount.sty Package: refcount 2006/02/20 v3.0 Data extraction from references (HO) ) \c@section@level=\count104 ) LaTeX Info: Redefining \ref on input line 43. LaTeX Info: Redefining \pageref on input line 43. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <24.88> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 47. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <24.88> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 47. LaTeX Font Info: Font shape `OT1/phv/b/n' will be (Font) scaled to size 22.39185pt on input line 47. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <14.4> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 50. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <12> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 54. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <10> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 61. Underfull \hbox (badness 10000) in paragraph at lines 59--76 [] [1 {/usr/local/gwTeX/texmf.local/fonts/map/pdftex/updmap/pdftex.map}] LaTeX Font Info: Font shape `OT1/phv/m/n' will be (Font) scaled to size 8.99994pt on input line 82. LaTeX Font Info: Try loading font information for OT1+ptmcm on input line 84 . (/usr/local/gwTeX/texmf.texlive/tex/latex/psnfss/ot1ptmcm.fd File: ot1ptmcm.fd 2000/01/03 Fontinst v1.801 font definitions for OT1/ptmcm. ) LaTeX Font Info: Try loading font information for OML+ptmcm on input line 84 . (/usr/local/gwTeX/texmf.texlive/tex/latex/psnfss/omlptmcm.fd File: omlptmcm.fd 2000/01/03 Fontinst v1.801 font definitions for OML/ptmcm. ) LaTeX Font Info: Try loading font information for OMX+psycm on input line 84 . (/usr/local/gwTeX/texmf.texlive/tex/latex/psnfss/omxpsycm.fd File: omxpsycm.fd 2000/01/03 Fontinst v1.801 font definitions for OMX/psycm. ) LaTeX Font Info: Try loading font information for U+msa on input line 84. (/usr/local/gwTeX/texmf.texlive/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 84. (/usr/local/gwTeX/texmf.texlive/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <7.4> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 84. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <6> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 84. Underfull \hbox (badness 10000) in paragraph at lines 86--88 [] LaTeX Font Info: Font shape `OMS/ptm/m/n' in size <10> not available (Font) Font shape `OMS/pzccm/m/n' tried instead on input line 90. Underfull \hbox (badness 4752) in paragraph at lines 101--103 []\OT1/ptm/m/n/10 A. Kono-valov, P. Soules. \OT1/ptm/m/it/10 Cir-cle --- Ad-joi nt groups of fi-nite rings, Ver-sion 1.3.1; \OT1/ptm/m/n/10 2008 [] Underfull \hbox (badness 10000) in paragraph at lines 101--103 [] Underfull \hbox (badness 10000) in paragraph at lines 109--110 [] LaTeX Font Info: Font shape `OT1/phv/m/sl' will be (Font) scaled to size 7.19995pt on input line 110. [2] (./manual.toc LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <10.95> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 1. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <8> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 2. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <10.95> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 8. LaTeX Font Info: Font shape `OT1/phv/b/n' will be (Font) scaled to size 9.85492pt on input line 8. ) \tf@toc=\write6 \openout6 = `manual.toc'. [3 ] Chapter 1. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <20.74> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 118. LaTeX Font Info: Font shape `OT1/phv/m/n' will be (Font) scaled to size 9.85492pt on input line 157. [4 ] Underfull \hbox (badness 1292) in paragraph at lines 175--177 []\OT1/ptm/m/n/10.95 To use the \OT1/phv/m/n/10.95 Cir-cle \OT1/ptm/m/n/10.95 o n-line help it is nec-es-sary to in-stall the \OT1/phv/m/n/10.95 GAP\OT1/ptm/m/ n/10.95 4 pack-age \OT1/phv/m/n/10.95 GAP-Doc \OT1/ptm/m/n/10.95 by [] Underfull \hbox (badness 2689) in paragraph at lines 175--177 \OT1/ptm/m/n/10.95 Frank L\OT1/pcr/m/n/10.95 \\OT1/ptm/m/n/10.95 "ubeck and Max Ne-unh\OT1/pcr/m/n/10.95 \\OT1/ptm/m/n/10.95 "offer, which is avail-able from the \OT1/phv/m/n/10.95 GAP \OT1/ptm/m/n/10.95 site or from [] [5] Chapter 2. [6 ] Underfull \hbox (badness 10000) in paragraph at lines 262--263 []\OT1/ptm/m/n/10.95 We start with declar-ing the cat-e-gory \OT1/pcr/m/n/10.95 IsCircleObject \OT1/ptm/m/n/10.95 as a sub-cat-e-gory of [] Underfull \hbox (badness 1783) in paragraph at lines 262--263 \OT1/pcr/m/n/10.95 IsMultiplicativeElementWithInverse\OT1/ptm/m/n/10.95 . Thus, each cir-cle ob-ject will "know" that it is [] [7] [8] LaTeX Font Info: Try loading font information for OML+pcr on input line 344. (/usr/local/gwTeX/texmf.texlive/tex/latex/psnfss/omlpcr.fd File: omlpcr.fd ) LaTeX Font Info: Font shape `OML/pcr/m/n' in size <10.95> not available (Font) Font shape `OML/cmm/m/it' tried instead on input line 344. [9] [10] [11] Underfull \hbox (badness 1184) in paragraph at lines 514--515 \OT1/ptm/m/n/10.95 The \OT1/phv/m/n/10.95 GAP \OT1/ptm/m/n/10.95 code used in t his Chap-ter, is con-tained in the files \OT1/pcr/m/n/10.95 circle/lib/circle.g d \OT1/ptm/m/n/10.95 and [] [12] Chapter 3. Underfull \hbox (badness 10000) in paragraph at lines 548--551 [] Underfull \hbox (badness 10000) in paragraph at lines 567--570 [] [13 ] Underfull \hbox (badness 10000) in paragraph at lines 588--594 [] Underfull \hbox (badness 10000) in paragraph at lines 617--623 [] Underfull \hbox (badness 2503) in paragraph at lines 625--628 \OT1/ptm/m/n/10.95 for a more gen-eral case. Then we de-fined \OT1/pcr/m/n/10.9 5 IsDefaultCircleObject \OT1/ptm/m/n/10.95 as a syn-onym of [] Underfull \hbox (badness 10000) in paragraph at lines 643--646 [] [14] Underfull \hbox (badness 10000) in paragraph at lines 671--674 [] Underfull \hbox (badness 10000) in paragraph at lines 696--699 [] [15] Underfull \hbox (badness 10000) in paragraph at lines 735--738 [] Underfull \hbox (badness 10000) in paragraph at lines 777--780 [] [16] Underfull \hbox (badness 10000) in paragraph at lines 828--831 [] Underfull \hbox (badness 10000) in paragraph at lines 853--856 [] [17] Underfull \hbox (badness 3746) in paragraph at lines 864--865 []\OT1/ptm/m/n/10.95 The warn-ing is dis-played by \OT1/pcr/m/n/10.95 IsGenerat orsOfMagmaWithInverses \OT1/ptm/m/n/10.95 method de-fined in [] [18] [19] [20] Underfull \hbox (badness 10000) in paragraph at lines 1072--1075 [] [21] Underfull \hbox (badness 10000) in paragraph at lines 1100--1103 [] Underfull \hbox (badness 10000) in paragraph at lines 1116--1119 [] [22] Chapter 4. Underfull \hbox (badness 1320) in paragraph at lines 1171--1173 \OT1/ptm/m/n/10.95 Then we com-pute the ad-joint group of \OT1/pcr/m/n/10.95 R\ OT1/ptm/m/n/10.95 . Dur-ing the com-pu-ta-tion a warn-ing will be dis- [] [23 ] [24] (./manual.bbl (./manual.brf) \tf@brf=\write7 \openout7 = `manual.brf'. [25]) (./manual.ind [26 ] [27 ]) (./manual.aux) ) Here is how much of TeX's memory you used: 3937 strings out of 94087 55759 string characters out of 1163859 2102425 words of memory out of 4553638 7032 multiletter control sequences out of 10000+50000 56497 words of font info for 109 fonts, out of 2000000 for 2000 645 hyphenation exceptions out of 5000 27i,7n,27p,776b,629s stack positions out of 5000i,500n,6000p,200000b,50000s {/usr/local/gwTeX/texmf.texlive/fonts/enc/dvips/base/8r.enc}</u sr/local/gwTeX/texmf.texlive/fonts/type1/bluesky/cm/cmmi10.pfb></usr/local/gwTe X/texmf.texlive/fonts/type1/bluesky/cm/cmr10.pfb></usr/local/gwTeX/texmf.texliv e/fonts/type1/bluesky/cm/cmsy10.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1 /bluesky/ams/msam10.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/urw/courier /ucrr8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/urw/courier/ucrro8a.pfb ></usr/local/gwTeX/texmf.texlive/fonts/type1/urw/helvetic/uhvb8a.pfb></usr/loca l/gwTeX/texmf.texlive/fonts/type1/urw/helvetic/uhvr8a.pfb></usr/local/gwTeX/tex mf.texlive/fonts/type1/urw/helvetic/uhvro8a.pfb></usr/local/gwTeX/texmf.texlive /fonts/type1/urw/times/utmb8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/u rw/times/utmr8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/urw/times/utmri 8a.pfb> Output written on manual.pdf (27 pages, 194677 bytes). PDF statistics: 336 PDF objects out of 1000 (max. 8388607) 97 named destinations out of 1000 (max. 131072) 17 words of extra memory for PDF output out of 10000 (max. 10000000)