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I am following this (dated) video on using Latex with SageMath.

https youtu dot be/Cjcn44CGfQI

This video makes it all so simple but my output is anything but expected with lots of warning and errors.

I am on Windows 10 Pro, using SageMath 8.2 and I installed the latest MikTex 2.9.

The Sage notebook is set to Latex in the drop-down. The input box has:

Hello World!

What I get as output is the following. So why am I not getting Hello World! displaying in notebook?

An error occurred.

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (MiKTeX 2.9.6730 64-bit) (preloaded format=pdflatex 2018.7.30) 31 JUL 2018 06:38 entering extended mode **\nonstopmode \input{sage80.tex} (sage80.tex ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\article.cls" Document Class: article 2014/09/29 v1.4h Standard LaTeX document class ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\size10.clo" File: size10.clo 2014/09/29 v1.4h Standard LaTeX file (size option) ) \c@part=\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 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsmath.sty " Package: amsmath 2017/09/02 v2.17a AMS math features \@mathmargin=\skip43

For additional information on amsmath, use the `?' option. ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amstext.sty " Package: amstext 2000/06/29 v2.01 AMS text ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsgen.sty " File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks14 \ex@=\dimen103 )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen104 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsopn.st y" Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count88 LaTeX Info: Redefining \frac on input line 213. \uproot@=\count89 \leftroot@=\count90 LaTeX Info: Redefining \overline on input line 375. \classnum@=\count91 \DOTSCASE@=\count92 LaTeX Info: Redefining \ldots on input line 472. LaTeX Info: Redefining \dots on input line 475. LaTeX Info: Redefining \cdots on input line 596. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen105 LaTeX Font Info: Redeclaring font encoding OML on input line 712. LaTeX Font Info: Redeclaring font encoding OMS on input line 713. \macc@depth=\count93 \c@MaxMatrixCols=\count94 \dotsspace@=\muskip10 \c@parentequation=\count95 \dspbrk@lvl=\count96 \tag@help=\toks15 \row@=\count97 \column@=\count98 \maxfields@=\count99 \andhelp@=\toks16 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks17 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks18 LaTeX Info: Redefining [ on input line 2817. LaTeX Info: Redefining ] on input line 2818. ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amssymb.st y" Package: amssymb 2013/01/14 v3.01 AMS font symbols

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amsfonts.s ty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet \mathfrak' in versionbold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphicx.s ty" Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\keyval.sty " Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks19 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphics.s ty" Package: graphics 2017/06/25 v1.2c Standard LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\trig.sty" Package: trig 2016/01/03 v1.10 sin cos tan (DPC) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-cfg\graphi cs.cfg" File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 99.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-def\pdftex .def" File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex )) \Gin@req@height=\dimen112 \Gin@req@width=\dimen113 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\jknappen\mathrsfs.s ty" Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk) \symrsfs=\mathgroup6 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\inputenc.sty" Package: inputenc 2018/04/06 v1.3b Input encoding file \inpenc@prehook=\toks20 \inpenc@posthook=\toks21 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\fontenc.sty" Package: fontenc 2017/04/05 v2.0i Standard LaTeX package

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\t1enc.def" File: t1enc.def 2017/04/05 v2.0i Standard LaTeX file LaTeX Font Info: Redeclaring font encoding T1 on input line 48. )) No file sage80.aux. \openout1 = `sage80.aux'.

LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\context\base\supp-pdf.mki i" [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count100 \scratchdimen=\dimen114 \scratchbox=\box28 \nofMPsegments=\count101 \nofMParguments=\count102 \everyMPshowfont=\toks22 \MPscratchCnt=\count103 \MPscratchDim=\dimen115 \MPnumerator=\count104 \makeMPintoPDFobject=\count105 \everyMPtoPDFconversion=\toks23 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\epstopdf-b ase.sty" Package: epstopdf-base 2016/05/15 v2.6 Base part for package epstopdf

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\infwarer r.sty" Package: infwarerr 2016/05/16 v1.4 Providing info/warning/error messages (HO) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\grfext.sty " Package: grfext 2016/05/16 v1.2 Manage graphics extensions (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvdefine keys.sty" Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ltxcmds. sty" Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO) ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\kvoptions. sty" Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvsetkey s.sty" Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\etexcmds .sty" Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifluatex .sty" Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) Package ifluatex Info: LuaTeX not detected. ) Package etexcmds Info: Could not find \expanded. (etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\pdftexcm ds.sty" Package: pdftexcmds 2018/01/30 v0.27 Utility functions of pdfTeX for LuaTeX (HO )

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifpdf.st y" Package: ifpdf 2017/03/15 v3.2 Provides the ifpdf switch ) Package pdftexcmds Info: LuaTeX not detected. Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. ) Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 38. Package grfext Info: Graphics extension search list: (grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 456. ) [1

{C:/Users/Mark/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] (sage80.aux) ) Here is how much of TeX's memory you used: 2528 strings out of 492973 33336 string characters out of 3127135 91925 words of memory out of 3000000 6388 multiletter control sequences out of 15000+200000 4403 words of font info for 15 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,4n,27p,294b,110s stack positions out of 5000i,500n,10000p,200000b,50000s <c:\users\mark\appdata\local\miktex\2.9\fonts\pk\ljfour\jknappen \ec\dpi600\ecrm1000.pk=""> Output written on sage80.pdf (1 page, 3968 bytes). PDF statistics: 18 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)

None

I am following this (dated) video on using Latex with SageMath.

https youtu dot be/Cjcn44CGfQI

This video makes it all so simple but my output is anything but expected with lots of warning and errors.

I am on Windows 10 Pro, using SageMath 8.2 and I installed the latest MikTex 2.9.

The Sage notebook is set to Latex in the drop-down. The input box has:

Hello World!

What I get as output is the following. So why am I not getting Hello World! displaying in notebook?

An error occurred.

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (MiKTeX 2.9.6730 64-bit) (preloaded format=pdflatex 2018.7.30) 31 JUL 2018 06:38 entering extended mode **\nonstopmode \input{sage80.tex} (sage80.tex ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\article.cls" Document Class: article 2014/09/29 v1.4h Standard LaTeX document class ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\size10.clo" File: size10.clo 2014/09/29 v1.4h Standard LaTeX file (size option) ) \c@part=\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 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsmath.sty " Package: amsmath 2017/09/02 v2.17a AMS math features \@mathmargin=\skip43

For additional information on amsmath, use the `?' option. ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amstext.sty " Package: amstext 2000/06/29 v2.01 AMS text ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsgen.sty " File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks14 \ex@=\dimen103 )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen104 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsopn.st y" Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count88 LaTeX Info: Redefining \frac on input line 213. \uproot@=\count89 \leftroot@=\count90 LaTeX Info: Redefining \overline on input line 375. \classnum@=\count91 \DOTSCASE@=\count92 LaTeX Info: Redefining \ldots on input line 472. LaTeX Info: Redefining \dots on input line 475. LaTeX Info: Redefining \cdots on input line 596. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen105 LaTeX Font Info: Redeclaring font encoding OML on input line 712. LaTeX Font Info: Redeclaring font encoding OMS on input line 713. \macc@depth=\count93 \c@MaxMatrixCols=\count94 \dotsspace@=\muskip10 \c@parentequation=\count95 \dspbrk@lvl=\count96 \tag@help=\toks15 \row@=\count97 \column@=\count98 \maxfields@=\count99 \andhelp@=\toks16 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks17 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks18 LaTeX Info: Redefining [ on input line 2817. LaTeX Info: Redefining ] on input line 2818. ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amssymb.st y" Package: amssymb 2013/01/14 v3.01 AMS font symbols

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amsfonts.s ty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet \mathfrak' in versionbold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphicx.s ty" Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\keyval.sty " Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks19 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphics.s ty" Package: graphics 2017/06/25 v1.2c Standard LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\trig.sty" Package: trig 2016/01/03 v1.10 sin cos tan (DPC) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-cfg\graphi cs.cfg" File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 99.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-def\pdftex .def" File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex )) \Gin@req@height=\dimen112 \Gin@req@width=\dimen113 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\jknappen\mathrsfs.s ty" Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk) \symrsfs=\mathgroup6 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\inputenc.sty" Package: inputenc 2018/04/06 v1.3b Input encoding file \inpenc@prehook=\toks20 \inpenc@posthook=\toks21 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\fontenc.sty" Package: fontenc 2017/04/05 v2.0i Standard LaTeX package

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\t1enc.def" File: t1enc.def 2017/04/05 v2.0i Standard LaTeX file LaTeX Font Info: Redeclaring font encoding T1 on input line 48. )) No file sage80.aux. \openout1 = `sage80.aux'.

LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\context\base\supp-pdf.mki i" [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count100 \scratchdimen=\dimen114 \scratchbox=\box28 \nofMPsegments=\count101 \nofMParguments=\count102 \everyMPshowfont=\toks22 \MPscratchCnt=\count103 \MPscratchDim=\dimen115 \MPnumerator=\count104 \makeMPintoPDFobject=\count105 \everyMPtoPDFconversion=\toks23 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\epstopdf-b ase.sty" Package: epstopdf-base 2016/05/15 v2.6 Base part for package epstopdf

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\infwarer r.sty" Package: infwarerr 2016/05/16 v1.4 Providing info/warning/error messages (HO) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\grfext.sty " Package: grfext 2016/05/16 v1.2 Manage graphics extensions (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvdefine keys.sty" Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ltxcmds. sty" Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO) ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\kvoptions. sty" Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvsetkey s.sty" Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\etexcmds .sty" Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifluatex .sty" Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) Package ifluatex Info: LuaTeX not detected. ) Package etexcmds Info: Could not find \expanded. (etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\pdftexcm ds.sty" Package: pdftexcmds 2018/01/30 v0.27 Utility functions of pdfTeX for LuaTeX (HO )

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifpdf.st y" Package: ifpdf 2017/03/15 v3.2 Provides the ifpdf switch ) Package pdftexcmds Info: LuaTeX not detected. Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. ) Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 38. Package grfext Info: Graphics extension search list: (grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 456. ) [1

{C:/Users/Mark/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] (sage80.aux) ) Here is how much of TeX's memory you used: 2528 strings out of 492973 33336 string characters out of 3127135 91925 words of memory out of 3000000 6388 multiletter control sequences out of 15000+200000 4403 words of font info for 15 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,4n,27p,294b,110s stack positions out of 5000i,500n,10000p,200000b,50000s <c:\users\mark\appdata\local\miktex\2.9\fonts\pk\ljfour\jknappen \ec\dpi600\ecrm1000.pk=""> Output written on sage80.pdf (1 page, 3968 bytes). PDF statistics: 18 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)

None

I am following this (dated) video on using Latex with SageMath.

https youtu dot be/Cjcn44CGfQI

https://youtu.be/Cjcn44CGfQI

This video makes it all so simple but my output is anything but expected with lots of warning and errors.

I am on Windows 10 Pro, using SageMath 8.2 and I installed the latest MikTex 2.9.

The Sage notebook is set to Latex in the drop-down. The input box has:

Hello World!

What I get as output is the following. So why am I not getting Hello World! displaying in notebook?

An error occurred.

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (MiKTeX 2.9.6730 64-bit) (preloaded format=pdflatex 2018.7.30) 31 JUL 2018 06:38 entering extended mode **\nonstopmode \input{sage80.tex} (sage80.tex ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\article.cls" Document Class: article 2014/09/29 v1.4h Standard LaTeX document class ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\size10.clo" File: size10.clo 2014/09/29 v1.4h Standard LaTeX file (size option) ) \c@part=\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 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsmath.sty " Package: amsmath 2017/09/02 v2.17a AMS math features \@mathmargin=\skip43

For additional information on amsmath, use the `?' option. ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amstext.sty " Package: amstext 2000/06/29 v2.01 AMS text ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsgen.sty " File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks14 \ex@=\dimen103 )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen104 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsopn.st y" Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count88 LaTeX Info: Redefining \frac on input line 213. \uproot@=\count89 \leftroot@=\count90 LaTeX Info: Redefining \overline on input line 375. \classnum@=\count91 \DOTSCASE@=\count92 LaTeX Info: Redefining \ldots on input line 472. LaTeX Info: Redefining \dots on input line 475. LaTeX Info: Redefining \cdots on input line 596. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen105 LaTeX Font Info: Redeclaring font encoding OML on input line 712. LaTeX Font Info: Redeclaring font encoding OMS on input line 713. \macc@depth=\count93 \c@MaxMatrixCols=\count94 \dotsspace@=\muskip10 \c@parentequation=\count95 \dspbrk@lvl=\count96 \tag@help=\toks15 \row@=\count97 \column@=\count98 \maxfields@=\count99 \andhelp@=\toks16 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks17 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks18 LaTeX Info: Redefining [ on input line 2817. LaTeX Info: Redefining ] on input line 2818. ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amssymb.st y" Package: amssymb 2013/01/14 v3.01 AMS font symbols

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amsfonts.s ty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet \mathfrak' in versionbold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphicx.s ty" Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\keyval.sty " Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks19 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphics.s ty" Package: graphics 2017/06/25 v1.2c Standard LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\trig.sty" Package: trig 2016/01/03 v1.10 sin cos tan (DPC) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-cfg\graphi cs.cfg" File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 99.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-def\pdftex .def" File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex )) \Gin@req@height=\dimen112 \Gin@req@width=\dimen113 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\jknappen\mathrsfs.s ty" Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk) \symrsfs=\mathgroup6 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\inputenc.sty" Package: inputenc 2018/04/06 v1.3b Input encoding file \inpenc@prehook=\toks20 \inpenc@posthook=\toks21 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\fontenc.sty" Package: fontenc 2017/04/05 v2.0i Standard LaTeX package

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\t1enc.def" File: t1enc.def 2017/04/05 v2.0i Standard LaTeX file LaTeX Font Info: Redeclaring font encoding T1 on input line 48. )) No file sage80.aux. \openout1 = `sage80.aux'.

LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\context\base\supp-pdf.mki i" [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count100 \scratchdimen=\dimen114 \scratchbox=\box28 \nofMPsegments=\count101 \nofMParguments=\count102 \everyMPshowfont=\toks22 \MPscratchCnt=\count103 \MPscratchDim=\dimen115 \MPnumerator=\count104 \makeMPintoPDFobject=\count105 \everyMPtoPDFconversion=\toks23 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\epstopdf-b ase.sty" Package: epstopdf-base 2016/05/15 v2.6 Base part for package epstopdf

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\infwarer r.sty" Package: infwarerr 2016/05/16 v1.4 Providing info/warning/error messages (HO) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\grfext.sty " Package: grfext 2016/05/16 v1.2 Manage graphics extensions (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvdefine keys.sty" Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ltxcmds. sty" Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO) ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\kvoptions. sty" Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvsetkey s.sty" Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\etexcmds .sty" Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifluatex .sty" Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) Package ifluatex Info: LuaTeX not detected. ) Package etexcmds Info: Could not find \expanded. (etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\pdftexcm ds.sty" Package: pdftexcmds 2018/01/30 v0.27 Utility functions of pdfTeX for LuaTeX (HO )

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifpdf.st y" Package: ifpdf 2017/03/15 v3.2 Provides the ifpdf switch ) Package pdftexcmds Info: LuaTeX not detected. Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. ) Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 38. Package grfext Info: Graphics extension search list: (grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 456. ) [1

{C:/Users/Mark/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] (sage80.aux) ) Here is how much of TeX's memory you used: 2528 strings out of 492973 33336 string characters out of 3127135 91925 words of memory out of 3000000 6388 multiletter control sequences out of 15000+200000 4403 words of font info for 15 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,4n,27p,294b,110s stack positions out of 5000i,500n,10000p,200000b,50000s <c:\users\mark\appdata\local\miktex\2.9\fonts\pk\ljfour\jknappen \ec\dpi600\ecrm1000.pk=""> Output written on sage80.pdf (1 page, 3968 bytes). PDF statistics: 18 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)

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I am following this (dated) video on using Latex with SageMath.

https youtu dot be/Cjcn44CGfQI

https://youtu.be/Cjcn44CGfQI

This video makes it all so simple but my output is anything but expected with lots of warning and errors.

I am on Windows 10 Pro, using SageMath 8.2 and I installed the latest MikTex 2.9.

The Sage notebook is set to Latex in the drop-down. The input box has:

Hello World!

What I get as output is the following. So why am I not getting Hello World! displaying in notebook?

An error occurred.

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (MiKTeX 2.9.6730 64-bit) (preloaded format=pdflatex 2018.7.30) 31 JUL 2018 06:38 entering extended mode **\nonstopmode \input{sage80.tex} (sage80.tex ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\article.cls" Document Class: article 2014/09/29 v1.4h Standard LaTeX document class ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\size10.clo" File: size10.clo 2014/09/29 v1.4h Standard LaTeX file (size option) ) \c@part=\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 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsmath.sty " Package: amsmath 2017/09/02 v2.17a AMS math features \@mathmargin=\skip43

For additional information on amsmath, use the `?' option. ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amstext.sty " Package: amstext 2000/06/29 v2.01 AMS text ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsgen.sty " File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks14 \ex@=\dimen103 )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen104 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsmath\amsopn.st y" Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count88 LaTeX Info: Redefining \frac on input line 213. \uproot@=\count89 \leftroot@=\count90 LaTeX Info: Redefining \overline on input line 375. \classnum@=\count91 \DOTSCASE@=\count92 LaTeX Info: Redefining \ldots on input line 472. LaTeX Info: Redefining \dots on input line 475. LaTeX Info: Redefining \cdots on input line 596. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen105 LaTeX Font Info: Redeclaring font encoding OML on input line 712. LaTeX Font Info: Redeclaring font encoding OMS on input line 713. \macc@depth=\count93 \c@MaxMatrixCols=\count94 \dotsspace@=\muskip10 \c@parentequation=\count95 \dspbrk@lvl=\count96 \tag@help=\toks15 \row@=\count97 \column@=\count98 \maxfields@=\count99 \andhelp@=\toks16 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks17 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks18 LaTeX Info: Redefining [ on input line 2817. LaTeX Info: Redefining ] on input line 2818. ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amssymb.st y" Package: amssymb 2013/01/14 v3.01 AMS font symbols

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\amsfonts\amsfonts.s ty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet \mathfrak' in versionbold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphicx.s ty" Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\keyval.sty " Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks19 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\graphics.s ty" Package: graphics 2017/06/25 v1.2c Standard LaTeX Graphics (DPC,SPQR)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics\trig.sty" Package: trig 2016/01/03 v1.10 sin cos tan (DPC) ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-cfg\graphi cs.cfg" File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 99.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\graphics-def\pdftex .def" File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex )) \Gin@req@height=\dimen112 \Gin@req@width=\dimen113 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\jknappen\mathrsfs.s ty" Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk) \symrsfs=\mathgroup6 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\inputenc.sty" Package: inputenc 2018/04/06 v1.3b Input encoding file \inpenc@prehook=\toks20 \inpenc@posthook=\toks21 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\fontenc.sty" Package: fontenc 2017/04/05 v2.0i Standard LaTeX package

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\base\t1enc.def" File: t1enc.def 2017/04/05 v2.0i Standard LaTeX file LaTeX Font Info: Redeclaring font encoding T1 on input line 48. )) No file sage80.aux. \openout1 = `sage80.aux'.

LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35.

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\context\base\supp-pdf.mki i" [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count100 \scratchdimen=\dimen114 \scratchbox=\box28 \nofMPsegments=\count101 \nofMParguments=\count102 \everyMPshowfont=\toks22 \MPscratchCnt=\count103 \MPscratchDim=\dimen115 \MPnumerator=\count104 \makeMPintoPDFobject=\count105 \everyMPtoPDFconversion=\toks23 ) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\epstopdf-b ase.sty" Package: epstopdf-base 2016/05/15 v2.6 Base part for package epstopdf

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("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvdefine keys.sty" Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ltxcmds. sty" Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO) ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\latex\oberdiek\kvoptions. sty" Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\kvsetkey s.sty" Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\etexcmds .sty" Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO)

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifluatex .sty" Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) Package ifluatex Info: LuaTeX not detected. ) Package etexcmds Info: Could not find \expanded. (etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. ))) ("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\pdftexcm ds.sty" Package: pdftexcmds 2018/01/30 v0.27 Utility functions of pdfTeX for LuaTeX (HO )

("C:\Users\Mark\AppData\Local\Programs\MiKTeX 2.9\tex\generic\oberdiek\ifpdf.st y" Package: ifpdf 2017/03/15 v3.2 Provides the ifpdf switch ) Package pdftexcmds Info: LuaTeX not detected. Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. ) Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 38. Package grfext Info: Graphics extension search list: (grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 456. ) [1

{C:/Users/Mark/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] (sage80.aux) ) Here is how much of TeX's memory you used: 2528 strings out of 492973 33336 string characters out of 3127135 91925 words of memory out of 3000000 6388 multiletter control sequences out of 15000+200000 4403 words of font info for 15 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 42i,4n,27p,294b,110s stack positions out of 5000i,500n,10000p,200000b,50000s <c:\users\mark\appdata\local\miktex\2.9\fonts\pk\ljfour\jknappen \ec\dpi600\ecrm1000.pk=""> Output written on sage80.pdf (1 page, 3968 bytes). PDF statistics: 18 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)

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