This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2010.8.16) 19 FEB 2011 00:40 entering extended mode %&-line parsing enabled. **mestre-fr.tex (./mestre-fr.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, croatian, ukrainian, russian, bulgarian, czech, slovak, danish, dut ch, finnish, basque, french, german, ngerman, ibycus, greek, monogreek, ancient greek, hungarian, italian, latin, mongolian, norsk, icelandic, interlingua, tur kish, coptic, romanian, welsh, serbian, slovenian, estonian, esperanto, upperso rbian, indonesian, polish, portuguese, spanish, catalan, galician, swedish, loa ded. 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(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks22 \ex@=\dimen105 )) (/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen106 ) (/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count89 LaTeX Info: Redefining \frac on input line 211. LaTeX Info: Redefining \binom on input line 214. \uproot@=\count90 \leftroot@=\count91 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count92 \DOTSCASE@=\count93 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=\dimen107 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count94 \c@MaxMatrixCols=\count95 \dotsspace@=\muskip10 \c@parentequation=\count96 \dspbrk@lvl=\count97 \tag@help=\toks23 \row@=\count98 \column@=\count99 \maxfields@=\count100 \andhelp@=\toks24 \eqnshift@=\dimen108 \alignsep@=\dimen109 \tagshift@=\dimen110 \tagwidth@=\dimen111 \totwidth@=\dimen112 \lineht@=\dimen113 \@envbody=\toks25 \multlinegap=\skip47 \multlinetaggap=\skip48 \mathdisplay@stack=\toks26 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) (./mestre-fr.aux) \openout1 = `mestre-fr.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 34. LaTeX Font Info: ... okay on input line 34. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 34. LaTeX Font Info: ... okay on input line 34. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 34. LaTeX Font Info: ... okay on input line 34. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 34. LaTeX Font Info: ... okay on input line 34. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 34. LaTeX Font Info: ... okay on input line 34. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 34. LaTeX Font Info: ... okay on input line 34. LaTeX Font Info: Try loading font information for U+lasy on input line 35. (/usr/share/texmf-texlive/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) LaTeX Font Info: Try loading font information for U+msa on input line 35. (/usr/share/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 35. (/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) Overfull \hbox (6.7181pt too wide) in paragraph at lines 65--70 []\OT1/cmr/m/n/12 Nous d^^Secrivons dans le para-graphe suiv-ant une m^^Sethode , la ``m^^Sethode des graphes'', [] [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] LaTeX Font Info: Try loading font information for OMS+cmr on input line 119. (/usr/share/texmf-texlive/tex/latex/base/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 119. Overfull \hbox (12.97922pt too wide) in paragraph at lines 126--131 []\OT1/cmr/m/n/12 Enfin, on d^^Sefinit une in-vo-lu-tion $\OML/cmm/m/it/12 W[]$ \OT1/cmr/m/n/12 par $\OML/cmm/m/it/12 W[] \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 ^ ^@ [][]$\OT1/cmr/m/n/12 , o^^Ru $[][]$ est l'endomorphisme [] [2] [3] [4] [5] [6] [7] Overfull \hbox (13.63281pt too wide) in paragraph at lines 447--455 \OML/cmm/m/it/12 X[]\OT1/cmr/m/n/12 (1)[]37$ sont form^^Sees de trois points su -per-sin-guliers dis-tincts de $\OML/cmm/m/it/12 X[]\OT1/cmr/m/n/12 (2)[]2$. [] Overfull \hbox (0.71921pt too wide) in paragraph at lines 447--455 \OT1/cmr/m/n/12 guliers de $\OML/cmm/m/it/12 X[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/ 12 qM\OT1/cmr/m/n/12 )[]\OML/cmm/m/it/12 p$ \OT1/cmr/m/n/12 au-dessus d'un poin t su-per-sin-gulier $\OML/cmm/m/it/12 S$ \OT1/cmr/m/n/12 de $\OML/cmm/m/it/12 X []\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 M\OT1/cmr/m/n/12 )[]\OML/cmm/m/it/12 p$ [] [8] [9] [10] [11] [12] Overfull \hbox (195.34851pt too wide) in paragraph at lines 790--793 \OT1/cmr/m/n/12 seize corps de dis-crim-i-nant $\OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/ n/12 23\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 31\OML/cmm/m/it/1 2 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 59\OML/cmm/m/it/12 : \OMS/cmsy/m/n/12 ^ ^@ \OT1/cmr/m/n/12 83\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 107 \OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 139\OML/cmm/m/it/12 ; \O MS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 211\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT 1/cmr/m/n/12 283\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 307\OML/ cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 331\OML/cmm/m/it/12 ; \OMS/cm sy/m/n/12 ^^@\OT1/cmr/m/n/12 379\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr /m/n/12 499\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 547\OML/cmm/m /it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 643\OML/cmm/m/it/12 ; \OMS/cmsy/m/ n/12 ^^@\OT1/cmr/m/n/12 883\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/ 12 907$. [] Overfull \hbox (0.42094pt too wide) in paragraph at lines 806--808 []\OT1/cmr/m/n/12 Dans [[]], Serre d^^Sefinit le niveau, le car-act^^Rere et le poids d'une telle repr^^Sesentation: [] [13] [14] Overfull \hbox (4.67656pt too wide) in paragraph at lines 933--939 \OT1/cmr/m/n/12 recherche syst^^Sematique sur or-di-na-teur (l'IBM 4341 de l'EN S, rue d'Ulm) de polyn^omes [] [15] [16] [17] Overfull \hbox (54.53038pt too wide) detected at line 1080 \OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y[] \OMS/cmsy/m/n/12 ^^ @ \OML/cmm/m/it/12 x[]y[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2[]3[]\OML/cmm/m /it/12 x[]y[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x \OT1/cmr/m/n/12 + \OML/cmm/m/i t/12 y\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2[]3[]5[]\OML/cmm/ m/it/12 xy\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \OML/cmm/m/it /12 y[]\OT1/cmr/m/n/12 ) + 2 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 3[]1579\OML/c mm/m/it/12 x[]y[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2[]3[]\OML/cmm/m/it/12 x y\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y\OT1/c mr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2[]\OML/cmm/m/it/12 xy \OT1/cm r/m/n/12 = 0 [] Overfull \hbox (35.6252pt too wide) detected at line 1094 \OML/cmm/m/it/12 T[] \OT1/cmr/m/n/12 : \OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \ OML/cmm/m/it/12 y[] \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 x[]y[] \OMS/cmsy/m/n/ 12 ^^@ \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 3[]\OML/cmm/m/it/ 12 x[]y[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 3[]\OML/cmm/m/it/12 xy \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y[]\OT 1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12 ^^A \OT1 /cmr/m/n/12 3[]23\OML/cmm/m/it/12 x[]y[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2 250\OML/cmm/m/it/12 xy\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x \OT1/cmr/m/n/12 + \OM L/cmm/m/it/12 y\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 5[]\OML/c mm/m/it/12 xy \OT1/cmr/m/n/12 = 0 [] Overfull \hbox (42.29189pt too wide) detected at line 1101 \OML/cmm/m/it/12 T[] \OT1/cmr/m/n/12 : \OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \ OML/cmm/m/it/12 y[] \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 x[]y[] \OMS/cmsy/m/n/ 12 ^^@ \OT1/cmr/m/n/12 2[]3\OML/cmm/m/it/12 x[]y[]\OT1/cmr/m/n/12 (\OML/cmm/m/i t/12 x \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^ ^@ \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 3 \OMS/cmsy/m/n/12 ^^ A \OT1/cmr/m/n/12 7\OML/cmm/m/it/12 xy\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[] \OT 1/cmr/m/n/12 + \OML/cmm/m/it/12 y[]\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/ cmr/m/n/12 3 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 53\OML/cmm/m/it/12 x[]y[] \OM S/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 2[]3 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 7[] \OML/cmm/m/it/12 xy\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x \OT1/cmr/m/n/12 + \OML/c mm/m/it/12 y\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 7[]\OML/cmm/ m/it/12 xy \OT1/cmr/m/n/12 = 0 [] Overfull \hbox (37.24998pt too wide) detected at line 1108 \OML/cmm/m/it/12 T[] \OT1/cmr/m/n/12 : \OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \ OML/cmm/m/it/12 y[] \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 x[]y[] \OMS/cmsy/m/n/ 12 ^^@ \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 3\OML/cmm/m/it/12 x[]y[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y \OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 3 \OMS/cmsy/m/n/12 ^^A \ OT1/cmr/m/n/12 5\OML/cmm/m/it/12 xy\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[] \OT1/c mr/m/n/12 + \OML/cmm/m/it/12 y[]\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr /m/n/12 3 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 11\OML/cmm/m/it/12 x[]y[] \OMS/c msy/m/n/12 ^^@ \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12 ^^A \OT1/cmr/m/n/12 3 \OMS/cm sy/m/n/12 ^^A \OT1/cmr/m/n/12 13\OML/cmm/m/it/12 xy\OT1/cmr/m/n/12 (\OML/cmm/m/ it/12 x \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 y\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 13[]\OML/cmm/m/it/12 xy \OT1/cmr/m/n/12 = 0 [] [18] Overfull \hbox (5.67688pt too wide) in alignment at lines 1122--1127 [][][] [] [] [19] [20] (./mestre-fr.aux) ) Here is how much of TeX's memory you used: 1532 strings out of 94101 17760 string characters out of 1165810 72643 words of memory out of 1500000 4792 multiletter control sequences out of 10000+50000 18394 words of font info for 74 fonts, out of 1200000 for 2000 637 hyphenation exceptions out of 8191 29i,8n,24p,236b,224s stack positions out of 5000i,500n,6000p,200000b,5000s Output written on mestre-fr.pdf (20 pages, 206792 bytes). 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