This is TeX, Version 3.14159 (Web2C 7.4.5) (format=latex 2010.5.6) 5 OCT 2011 11:09 **lecture12 (./lecture12.tex LaTeX2e <2001/06/01> Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2001/04/21 v1.4e Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo File: size12.clo 2001/04/21 v1.4e 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 ) \@input{preamble.aux} \openout2 = `preamble.aux'. 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LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. Overfull \hbox (14.63324pt too wide) in paragraph at lines 20--21 [] [] LaTeX Font Info: Try loading font information for U+msa on input line 27. (/usr/share/texmf/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 27. 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(/usr/share/texmf/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) Overfull \hbox (35.65253pt too wide) in paragraph at lines 31--32 []\OT1/cmr/m/n/12 Let $\U/msb/m/n/12 T[]$ \OT1/cmr/m/n/12 be the al-ge-bra gen- er-ated over $\U/msb/m/n/12 C$ \OT1/cmr/m/n/12 by the Hecke Op-er-a-tor $(\OML/ cmm/m/it/12 T[]; T[]; ::::\OT1/cmr/m/n/12 )$ in $\OML/cmm/m/it/12 End[]\OT1/cmr /m/n/12 (\OML/cmm/m/it/12 M[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 SL[]\OT1/cmr/m/n /12 (\U/msb/m/n/12 Z\OT1/cmr/m/n/12 )))$, [] [1 ] Underfull \hbox (badness 10000) in paragraph at lines 55--56 [] Underfull \hbox (badness 10000) in paragraph at lines 58--59 [] Underfull \hbox (badness 10000) in paragraph at lines 60--63 [] Underfull \hbox (badness 10000) in paragraph at lines 60--63 [] [2] Underfull \hbox (badness 10000) in paragraph at lines 65--66 [] Underfull \hbox (badness 10000) in paragraph at lines 65--66 [] Underfull \hbox (badness 10000) in paragraph at lines 69--70 [] Underfull \hbox (badness 10000) in paragraph at lines 69--70 [] [3] Underfull \hbox (badness 10000) in paragraph at lines 92--93 [] Underfull \hbox (badness 10000) in paragraph at lines 94--100 [] Underfull \hbox (badness 10000) in paragraph at lines 103--104 [] Underfull \hbox (badness 10000) in paragraph at lines 103--104 [] [4] [5] (./lecture12.aux) ) Here is how much of TeX's memory you used: 1441 strings out of 95847 15865 string characters out of 1195949 64348 words of memory out of 1000001 4385 multiletter control sequences out of 10000+50000 9866 words of font info for 39 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 1000 31i,12n,26p,326b,182s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on lecture12.dvi (5 pages, 11156 bytes).