This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2007.10.14) 16 OCT 2007 17:01 entering extended mode %&-line parsing enabled. **talk (./talk.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, croatian, bulgarian, russian, ukrainian, czech, slovak, danish, dut ch, finnish, finnish, french, basque, french, german, ngerman, german, ngerman, greek, monogreek, ancientgreek, ibycus, hungarian, hungarian, italian, italian , latin, latin, mongolian, mongolian, norsk, norsk, coptic, esperanto, estonian , icelandic, indonesian, interlingua, romanian, serbian, slovenian, turkish, up persorbian, welsh, polish, polish, portuguese, portuguese, spanish, catalan, ga lician, spanish, catalan, galician, swedish, swedish, loaded. 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LaTeX Font Info: Try loading font information for OT1+phv on input line 107. (/usr/share/texmf-texlive/tex/latex/psnfss/ot1phv.fd File: ot1phv.fd 2001/06/04 scalable font definitions for OT1/phv. ) -------------------- Geometry parameters paper: user defined landscape: -- twocolumn: -- twoside: -- asymmetric: -- h-parts: 28.45274pt, 307.28987pt, 28.45274pt v-parts: 0.0pt, 273.14662pt, 0.0pt hmarginratio: -- vmarginratio: -- lines: -- heightrounded: -- bindingoffset: 0.0pt truedimen: -- includehead: true includefoot: true includemp: -- driver: pdftex -------------------- Page layout dimensions and switches \paperwidth 364.19536pt \paperheight 273.14662pt \textwidth 307.28987pt \textheight 244.6939pt \oddsidemargin -43.81725pt \evensidemargin -43.81725pt \topmargin -72.26999pt \headheight 14.22636pt \headsep 0.0pt \footskip 14.22636pt \marginparwidth 4.0pt \marginparsep 10.0pt \columnsep 10.0pt \skip\footins 10.0pt plus 4.0pt minus 2.0pt \hoffset 0.0pt \voffset 0.0pt \mag 1000 (1in=72.27pt, 1cm=28.45pt) ----------------------- Package hyperref Info: Link coloring OFF on input line 107. (/usr/share/texmf-texlive/tex/latex/hyperref/nameref.sty Package: nameref 2006/12/27 v2.28 Cross-referencing by name of section (/usr/share/texmf-texlive/tex/latex/oberdiek/refcount.sty Package: refcount 2006/02/20 v3.0 Data extraction from references (HO) ) \c@section@level=\count148 ) LaTeX Info: Redefining \ref on input line 107. LaTeX Info: Redefining \pageref on input line 107. (./talk.out) (./talk.out) \@outlinefile=\write4 \openout4 = `talk.out'. LaTeX Font Info: Overwriting symbol font `operators' in version `normal' (Font) OT1/cmr/m/n --> OT1/cmss/m/n on input line 107. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' (Font) OT1/cmr/bx/n --> OT1/cmss/bx/n on input line 107. \symnumbers=\mathgroup7 \sympureletters=\mathgroup8 LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `normal' (Font) OT1/cmss/m/n --> OT1/ptm/m/n on input line 107. LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 107. 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LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' (Font) OT1/cmtt/m/n --> OT1/pcr/m/n on input line 107. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/pcr/m/n on input line 107. LaTeX Font Info: Overwriting symbol font `numbers' in version `bold' (Font) OT1/phv/m/n --> OT1/phv/bx/n on input line 107. LaTeX Font Info: Overwriting symbol font `pureletters' in version `bold' (Font) OT1/phv/m/it --> OT1/phv/bx/it on input line 107. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `bold' (Font) OT1/cmss/bx/n --> OT1/ptm/bx/n on input line 107. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/phv/bx/n --> OT1/phv/bx/n on input line 107. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/phv/m/n --> OT1/phv/bx/n on input line 107. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/phv/m/it --> OT1/phv/bx/it on input line 107. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/pcr/m/n --> OT1/pcr/bx/n on input line 107. (./talk.nav) LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <14.4> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 109. [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2 ] LaTeX Font Info: Try loading font information for U+msa on input line 147. (/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 147. (/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+rsfs on input line 147. (/usr/share/texmf-texlive/tex/latex/jknapltx/ursfs.fd File: ursfs.fd 1998/03/24 rsfs font definition file (jk) ) LaTeX Font Info: Font shape `OT1/phv/m/it' in size <12> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 147. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <8> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 147. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <6> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 147. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <12> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 147. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <8> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 147. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <6> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 147. File: graphics/mikio_sato.png Graphic file (type png) File: graphics/tate_on_slide.png Graphic file (type png) [3 <./graphics/mikio_sato.png (PNG copy)> <./graphics/tate_on_slide.png (PNG copy )>] [4 ] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/hist-1000.png Graphic file (type png) ) LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <10> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 171. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <7> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 171. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <14.4> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 171. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <10> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 171. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <7> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 171. [5 <./graphics/hist-1000.png>] File: graphics/hist-10000.png Graphic file (type png) [6 <./graphics/hist-10000.png>] File: graphics/hist-100000.png Graphic file (type png) [7 <./graphics/hist-100000.png>] File: graphics/hist-1000000.png Graphic file (type png) [8 <./graphics/hist-1000000.png>] [9 ] 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 215. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <10.95> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 215. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <5> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 215. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <5> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 215. [10 ] 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 234. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <20.74> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 234. LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <17.28> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 234. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <24.88> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 234. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <20.74> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 234. LaTeX Font Info: Font shape `OT1/phv/m/it' in size <17.28> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 234. [11 ] \openout3 = `talk.vrb'. (./talk.vrb LaTeX Font Info: Try loading font information for OT1+pcr on input line 3. (/usr/share/texmf-texlive/tex/latex/psnfss/ot1pcr.fd File: ot1pcr.fd 2001/06/04 font definitions for OT1/pcr. ) Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: e37a = SatoTate(EllipticCurve('37a'), 10^6)[] [] Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: show(e37a.plot_Delta(10^3, plot_points=400,[] [] Overfull \hbox (27.77972pt too wide) in paragraph at lines 7--7 [] \OT1/pcr/m/n/10.95 max_points=100), ymax=0.1, ymin=0, figsize=[10,3])[] [] File: graphics/37a-plot_Delta-1000.png Graphic file (type png) Overfull \hbox (61.45703pt too wide) in paragraph at lines 10--11 [][] [] ) [12 <./graphics/37a-plot_Delta-1000.png>] \openout3 = `talk.vrb'. (./talk.vrb Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: e37a = SatoTate(EllipticCurve('37a'), 10^6)[] [] Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: show(e37a.plot_Delta(10^4, plot_points=200,[] [] Overfull \hbox (27.77972pt too wide) in paragraph at lines 7--7 [] \OT1/pcr/m/n/10.95 max_points=100), ymax=0.1, ymin=0, figsize=[10,3])[] [] File: graphics/37a-plot_Delta-10000.png Graphic file (type png) Overfull \hbox (61.45703pt too wide) in paragraph at lines 10--11 [][] [] ) [13 <./graphics/37a-plot_Delta-10000.png>] \openout3 = `talk.vrb'. (./talk.vrb Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: e37a = SatoTate(EllipticCurve('37a'), 10^6)[] [] Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: show(e37a.plot_Delta(10^5, plot_points=200,[] [] Overfull \hbox (27.77972pt too wide) in paragraph at lines 7--7 [] \OT1/pcr/m/n/10.95 max_points=100), ymax=0.1, ymin=0, figsize=[10,3])[] [] File: graphics/37a-plot_Delta-100000.png Graphic file (type png) Overfull \hbox (61.45703pt too wide) in paragraph at lines 10--11 [][] [] ) [14 <./graphics/37a-plot_Delta-100000.png>] \openout3 = `talk.vrb'. (./talk.vrb Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: e37a = SatoTate(EllipticCurve('37a'), 10^6)[] [] Overfull \hbox (14.63974pt too wide) in paragraph at lines 7--7 []\OT1/pcr/m/n/10.95 sage: show(e37a.plot_Delta(10^6, plot_points=200,[] [] Overfull \hbox (27.77972pt too wide) in paragraph at lines 7--7 [] \OT1/pcr/m/n/10.95 max_points=100), ymax=0.1, ymin=0, figsize=[10,3])[] [] File: graphics/37a-plot_Delta-1000000.png Graphic file (type png) Overfull \hbox (61.45703pt too wide) in paragraph at lines 10--11 [][] [] ) [15 <./graphics/37a-plot_Delta-1000000.png>] File: graphics/37a-plot_Delta-1000000.png Graphic file (type png) [16 ] [17 ] \openout3 = `talk.vrb'. (./talk.vrb Overfull \hbox (22.71013pt too wide) in paragraph at lines 21--21 []\OT1/pcr/m/n/10 From: Shigeki Akiyama [] [] Overfull \hbox (4.71013pt too wide) in paragraph at lines 21--21 []\OT1/pcr/m/n/10 I feel very honored to have your comments on our old[] [] Overfull \hbox (4.71013pt too wide) in paragraph at lines 21--21 []\OT1/pcr/m/n/10 If we assume Riemann hypothesis for all symmetric L,[] [] ) [18 ] [19 ] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/11a-theta-1000000.png Graphic file (type png) ) [20 <./graphics/11a-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/37a-theta-1000000.png Graphic file (type png) ) [21 <./graphics/37a-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/389a-theta-1000000.png Graphic file (type png) ) [22 <./graphics/389a-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/5077a-theta-1000000.png Graphic file (type png) ) [23 <./graphics/5077a-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank4-theta-1000000.png Graphic file (type png) ) [24 <./graphics/rank4-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank5-theta-1000000.png Graphic file (type png) ) [25 <./graphics/rank5-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank6-theta-1000000.png Graphic file (type png) ) [26 <./graphics/rank6-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank7-theta-1000000.png Graphic file (type png) ) [27 <./graphics/rank7-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank8-theta-1000000.png Graphic file (type png) ) [28 <./graphics/rank8-theta-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank28-theta-1000000.png Graphic file (type png) ) [29 <./graphics/rank28-theta-1000000.png>] [30 ] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank0-large_cond-fit.png Graphic file (type png) ) [31 <./graphics/rank0-large_cond-fit.png>] \openout3 = `talk.vrb'. (./talk.vrb) [32 ] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank3-fit-1000000.png Graphic file (type png) ) [33 <./graphics/rank3-fit-1000000.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank4-fit.png Graphic file (type png) ) [34 <./graphics/rank4-fit.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank8-fit.png Graphic file (type png) ) [35 <./graphics/rank8-fit.png>] \openout3 = `talk.vrb'. (./talk.vrb File: graphics/rank28-fit.png Graphic file (type png) ) [36 <./graphics/rank28-fit.png>] [37 ] [38 ] [39 ] [40 ] [41 ] [42 ] [43 ] \openout3 = `talk.vrb'. (./talk.vrb Overfull \hbox (80.33966pt too wide) in paragraph at lines 19--19 []\OT1/pcr/m/n/10.95 curve rank log(R_E(C)) / log(log(C)) for C=10^ 6[] [] ) [44 ] \openout3 = `talk.vrb'. (./talk.vrb Overfull \hbox (80.33966pt too wide) in paragraph at lines 16--16 []\OT1/pcr/m/n/10.95 curve rank log(R_E(C)) / log(log(C)) for C=10^ 6[] [] ) [45 ] [46 ] \tf@nav=\write5 \openout5 = `talk.nav'. \tf@toc=\write6 \openout6 = `talk.toc'. \tf@snm=\write7 \openout7 = `talk.snm'. (./talk.aux) ) Here is how much of TeX's memory you used: 12138 strings out of 93945 212129 string characters out of 1162042 269601 words of memory out of 1500000 14927 multiletter control sequences out of 10000+50000 67550 words of font info for 146 fonts, out of 1200000 for 2000 743 hyphenation exceptions out of 8191 41i,14n,51p,308b,526s stack positions out of 5000i,500n,6000p,200000b,5000s {/usr/share/texmf-texlive/fonts/enc/dvips/base/8r.enc} Output written on talk.pdf (46 pages, 1804946 bytes). PDF statistics: 1311 PDF objects out of 1440 (max. 8388607) 93 named destinations out of 1000 (max. 131072) 162 words of extra memory for PDF output out of 10000 (max. 10000000)