Added files

1 files changed, 967 insertions, 0 deletions

diff --git a/src/Lecture5/notebook/7-SageAlgebra.log b/src/Lecture5/notebook/7-SageAlgebra.log
new file mode 100644
index 0000000..615d65f
--- /dev/null
+++ b/src/Lecture5/notebook/7-SageAlgebra.log
@@ -0,0 +1,967 @@
+This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/VoidLinux) (preloaded format=pdflatex 2021.4.20)  22 APR 2021 15:19
+entering extended mode
+ \write18 enabled.
+ %&-line parsing enabled.
+**7-SageAlgebra.tex
+(./7-SageAlgebra.tex
+LaTeX2e <2020-10-01> patch level 2
+L3 programming layer <2020-12-03> xparse <2020-03-03>
+(/usr/share/texmf-dist/tex/latex/base/article.cls
+Document Class: article 2020/04/10 v1.4m Standard LaTeX document class
+(/usr/share/texmf-dist/tex/latex/base/size11.clo
+File: size11.clo 2020/04/10 v1.4m Standard LaTeX file (size option)
+)
+\c@part=\count177
+\c@section=\count178
+\c@subsection=\count179
+\c@subsubsection=\count180
+\c@paragraph=\count181
+\c@subparagraph=\count182
+\c@figure=\count183
+\c@table=\count184
+\abovecaptionskip=\skip47
+\belowcaptionskip=\skip48
+\bibindent=\dimen138
+)
+(/usr/share/texmf-dist/tex/latex/tcolorbox/tcolorbox.sty
+Package: tcolorbox 2020/10/09 version 4.42 text color boxes
+
+(/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
+(/usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
+\pgfutil@everybye=\toks15
+\pgfutil@tempdima=\dimen139
+\pgfutil@tempdimb=\dimen140
+
+(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex))
+(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
+\pgfutil@abb=\box47
+)
+(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
+(/usr/share/texmf-dist/tex/generic/pgf/pgf.revision.tex)
+Package: pgfrcs 2020/12/01 v3.1.7a (3.1.7a)
+))
+Package: pgf 2020/12/01 v3.1.7a (3.1.7a)
+
+(/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
+(/usr/share/texmf-dist/tex/latex/graphics/graphicx.sty
+Package: graphicx 2020/09/09 v1.2b Enhanced LaTeX Graphics (DPC,SPQR)
+
+(/usr/share/texmf-dist/tex/latex/graphics/keyval.sty
+Package: keyval 2014/10/28 v1.15 key=value parser (DPC)
+\KV@toks@=\toks16
+)
+(/usr/share/texmf-dist/tex/latex/graphics/graphics.sty
+Package: graphics 2020/08/30 v1.4c Standard LaTeX Graphics (DPC,SPQR)
+
+(/usr/share/texmf-dist/tex/latex/graphics/trig.sty
+Package: trig 2016/01/03 v1.10 sin cos tan (DPC)
+)
+(/usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
+File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration
+)
+Package graphics Info: Driver file: pdftex.def on input line 105.
+
+(/usr/share/texmf-dist/tex/latex/graphics-def/pdftex.def
+File: pdftex.def 2020/10/05 v1.2a Graphics/color driver for pdftex
+))
+\Gin@req@height=\dimen141
+\Gin@req@width=\dimen142
+)
+(/usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
+(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
+Package: pgfsys 2020/12/01 v3.1.7a (3.1.7a)
+
+(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+\pgfkeys@pathtoks=\toks17
+\pgfkeys@temptoks=\toks18
+
+(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex
+\pgfkeys@tmptoks=\toks19
+))
+\pgf@x=\dimen143
+\pgf@y=\dimen144
+\pgf@xa=\dimen145
+\pgf@ya=\dimen146
+\pgf@xb=\dimen147
+\pgf@yb=\dimen148
+\pgf@xc=\dimen149
+\pgf@yc=\dimen150
+\pgf@xd=\dimen151
+\pgf@yd=\dimen152
+\w@pgf@writea=\write3
+\r@pgf@reada=\read2
+\c@pgf@counta=\count185
+\c@pgf@countb=\count186
+\c@pgf@countc=\count187
+\c@pgf@countd=\count188
+\t@pgf@toka=\toks20
+\t@pgf@tokb=\toks21
+\t@pgf@tokc=\toks22
+\pgf@sys@id@count=\count189
+
+(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
+File: pgf.cfg 2020/12/01 v3.1.7a (3.1.7a)
+)
+Driver file for pgf: pgfsys-pdftex.def
+
+(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
+File: pgfsys-pdftex.def 2020/12/01 v3.1.7a (3.1.7a)
+
+(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
+File: pgfsys-common-pdf.def 2020/12/01 v3.1.7a (3.1.7a)
+)))
+(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
+File: pgfsyssoftpath.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgfsyssoftpath@smallbuffer@items=\count190
+\pgfsyssoftpath@bigbuffer@items=\count191
+)
+(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
+File: pgfsysprotocol.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+))
+(/usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty
+Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK)
+
+(/usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg
+File: color.cfg 2016/01/02 v1.6 sample color configuration
+)
+Package xcolor Info: Driver file: pdftex.def on input line 225.
+Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348.
+Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352.
+Package xcolor Info: Model `RGB' extended on input line 1364.
+Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366.
+Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367.
+Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368.
+Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369.
+Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370.
+Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371.
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
+Package: pgfcore 2020/12/01 v3.1.7a (3.1.7a)
+
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex
+\pgfmath@dimen=\dimen153
+\pgfmath@count=\count192
+\pgfmath@box=\box48
+\pgfmath@toks=\toks23
+\pgfmath@stack@operand=\toks24
+\pgfmath@stack@operation=\toks25
+)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code
+.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.te
+x) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics
+.code.tex))) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex
+\c@pgfmathroundto@lastzeros=\count193
+)) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfint.code.tex)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
+File: pgfcorepoints.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgf@picminx=\dimen154
+\pgf@picmaxx=\dimen155
+\pgf@picminy=\dimen156
+\pgf@picmaxy=\dimen157
+\pgf@pathminx=\dimen158
+\pgf@pathmaxx=\dimen159
+\pgf@pathminy=\dimen160
+\pgf@pathmaxy=\dimen161
+\pgf@xx=\dimen162
+\pgf@xy=\dimen163
+\pgf@yx=\dimen164
+\pgf@yy=\dimen165
+\pgf@zx=\dimen166
+\pgf@zy=\dimen167
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
+File: pgfcorepathconstruct.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgf@path@lastx=\dimen168
+\pgf@path@lasty=\dimen169
+) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
+File: pgfcorepathusage.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgf@shorten@end@additional=\dimen170
+\pgf@shorten@start@additional=\dimen171
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
+File: pgfcorescopes.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgfpic=\box49
+\pgf@hbox=\box50
+\pgf@layerbox@main=\box51
+\pgf@picture@serial@count=\count194
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
+File: pgfcoregraphicstate.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgflinewidth=\dimen172
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.t
+ex
+File: pgfcoretransformations.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgf@pt@x=\dimen173
+\pgf@pt@y=\dimen174
+\pgf@pt@temp=\dimen175
+) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
+File: pgfcorequick.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
+File: pgfcoreobjects.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.te
+x
+File: pgfcorepathprocessing.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
+File: pgfcorearrows.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgfarrowsep=\dimen176
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
+File: pgfcoreshade.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgf@max=\dimen177
+\pgf@sys@shading@range@num=\count195
+\pgf@shadingcount=\count196
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex
+File: pgfcoreimage.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex
+File: pgfcoreexternal.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgfexternal@startupbox=\box52
+))
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex
+File: pgfcorelayers.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex
+File: pgfcoretransparency.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex
+File: pgfcorepatterns.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+)
+(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex
+File: pgfcorerdf.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+)))
+(/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
+File: pgfmoduleshapes.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+\pgfnodeparttextbox=\box53
+)
+(/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
+File: pgfmoduleplot.code.tex 2020/12/01 v3.1.7a (3.1.7a)
+)
+(/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+Package: pgfcomp-version-0-65 2020/12/01 v3.1.7a (3.1.7a)
+\pgf@nodesepstart=\dimen178
+\pgf@nodesepend=\dimen179
+)
+(/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty
+Package: pgfcomp-version-1-18 2020/12/01 v3.1.7a (3.1.7a)
+))
+(/usr/share/texmf-dist/tex/latex/tools/verbatim.sty
+Package: verbatim 2020-07-07 v1.5u LaTeX2e package for verbatim enhancements
+\every@verbatim=\toks26
+\verbatim@line=\toks27
+\verbatim@in@stream=\read3
+)
+(/usr/share/texmf-dist/tex/latex/environ/environ.sty
+Package: environ 2014/05/04 v0.3 A new way to define environments
+
+(/usr/share/texmf-dist/tex/latex/trimspaces/trimspaces.sty
+Package: trimspaces 2009/09/17 v1.1 Trim spaces around a token list
+)
+\@envbody=\toks28
+)
+(/usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty
+Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW)
+\etb@tempcnta=\count197
+)
+\tcb@titlebox=\box54
+\tcb@upperbox=\box55
+\tcb@lowerbox=\box56
+\tcb@phantombox=\box57
+\c@tcbbreakpart=\count198
+\c@tcblayer=\count199
+\c@tcolorbox@number=\count266
+\tcb@temp=\box58
+\tcb@temp=\box59
+\tcb@temp=\box60
+\tcb@temp=\box61
+\tcb@out=\write4
+\tcb@record@out=\write5
+
+(/usr/share/texmf-dist/tex/latex/tcolorbox/tcbbreakable.code.tex
+Library (tcolorbox): 'tcbbreakable.code.tex' version '4.42'
+(/usr/share/texmf-dist/tex/generic/oberdiek/pdfcol.sty
+Package: pdfcol 2019/12/29 v1.6 Handle new color stacks for pdfTeX (HO)
+
+(/usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
+Package: ltxcmds 2020-05-10 v1.25 LaTeX kernel commands for general use (HO)
+)
+(/usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty
+Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO)
+)
+(/usr/share/texmf-dist/tex/generic/iftex/iftex.sty
+Package: iftex 2020/03/06 v1.0d TeX engine tests
+))
+Package pdfcol Info: New color stack `tcb@breakable' = 1 on input line 23.
+\tcb@testbox=\box62
+\tcb@totalupperbox=\box63
+\tcb@totallowerbox=\box64
+))
+(/usr/share/texmf-dist/tex/latex/parskip/parskip.sty
+Package: parskip 2020-06-15 v2.0f non-zero parskip adjustments
+
+(/usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty
+Package: kvoptions 2020-10-07 v3.14 Key value format for package options (HO)
+
+(/usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty
+Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO)
+)))
+(/usr/share/texmf-dist/tex/latex/base/fontenc.sty
+Package: fontenc 2020/08/10 v2.0s Standard LaTeX package
+)
+(/usr/share/texmf-dist/tex/latex/psnfss/mathpazo.sty
+Package: mathpazo 2020/03/25 PSNFSS-v9.3 Palatino w/ Pazo Math (D.Puga, WaS) 
+\symupright=\mathgroup4
+)
+(/usr/share/texmf-dist/tex/latex/caption/caption.sty
+Package: caption 2020/10/26 v3.5g Customizing captions (AR)
+
+(/usr/share/texmf-dist/tex/latex/caption/caption3.sty
+Package: caption3 2020/10/21 v2.2e caption3 kernel (AR)
+\captionmargin=\dimen180
+\captionmargin@=\dimen181
+\captionwidth=\dimen182
+\caption@tempdima=\dimen183
+\caption@indent=\dimen184
+\caption@parindent=\dimen185
+\caption@hangindent=\dimen186
+Package caption Info: Standard document class detected.
+)
+\c@caption@flags=\count267
+\c@continuedfloat=\count268
+)
+(/usr/share/texmf-dist/tex/latex/adjustbox/adjustbox.sty
+Package: adjustbox 2020/08/19 v1.3 Adjusting TeX boxes (trim, clip, ...)
+
+(/usr/share/texmf-dist/tex/latex/xkeyval/xkeyval.sty
+Package: xkeyval 2020/11/20 v2.8 package option processing (HA)
+
+(/usr/share/texmf-dist/tex/generic/xkeyval/xkeyval.tex
+(/usr/share/texmf-dist/tex/generic/xkeyval/xkvutils.tex
+\XKV@toks=\toks29
+\XKV@tempa@toks=\toks30
+)
+\XKV@depth=\count269
+File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA)
+))
+(/usr/share/texmf-dist/tex/latex/adjustbox/adjcalc.sty
+Package: adjcalc 2012/05/16 v1.1 Provides advanced setlength with multiple back
+-ends (calc, etex, pgfmath)
+)
+(/usr/share/texmf-dist/tex/latex/adjustbox/trimclip.sty
+Package: trimclip 2020/08/19 v1.2 Trim and clip general TeX material
+
+(/usr/share/texmf-dist/tex/latex/collectbox/collectbox.sty
+Package: collectbox 2012/05/17 v0.4b Collect macro arguments as boxes
+\collectedbox=\box65
+)
+\tc@llx=\dimen187
+\tc@lly=\dimen188
+\tc@urx=\dimen189
+\tc@ury=\dimen190
+Package trimclip Info: Using driver 'tc-pdftex.def'.
+
+(/usr/share/texmf-dist/tex/latex/adjustbox/tc-pdftex.def
+File: tc-pdftex.def 2019/01/04 v2.2 Clipping driver for pdftex
+))
+\adjbox@Width=\dimen191
+\adjbox@Height=\dimen192
+\adjbox@Depth=\dimen193
+\adjbox@Totalheight=\dimen194
+\adjbox@pwidth=\dimen195
+\adjbox@pheight=\dimen196
+\adjbox@pdepth=\dimen197
+\adjbox@ptotalheight=\dimen198
+
+(/usr/share/texmf-dist/tex/latex/ifoddpage/ifoddpage.sty
+Package: ifoddpage 2016/04/23 v1.1 Conditionals for odd/even page detection
+\c@checkoddpage=\count270
+)
+(/usr/share/texmf-dist/tex/latex/varwidth/varwidth.sty
+Package: varwidth 2009/03/30 ver 0.92;  Variable-width minipages
+\@vwid@box=\box66
+\sift@deathcycles=\count271
+\@vwid@loff=\dimen199
+\@vwid@roff=\dimen256
+))
+(/usr/share/texmf-dist/tex/latex/float/float.sty
+Package: float 2001/11/08 v1.3d Float enhancements (AL)
+\c@float@type=\count272
+\float@exts=\toks31
+\float@box=\box67
+\@float@everytoks=\toks32
+\@floatcapt=\box68
+)
+(/usr/share/texmf-dist/tex/latex/tools/enumerate.sty
+Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC)
+\@enLab=\toks33
+)
+(/usr/share/texmf-dist/tex/latex/geometry/geometry.sty
+Package: geometry 2020/01/02 v5.9 Page Geometry
+
+(/usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty
+Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead.
+)
+\Gm@cnth=\count273
+\Gm@cntv=\count274
+\c@Gm@tempcnt=\count275
+\Gm@bindingoffset=\dimen257
+\Gm@wd@mp=\dimen258
+\Gm@odd@mp=\dimen259
+\Gm@even@mp=\dimen260
+\Gm@layoutwidth=\dimen261
+\Gm@layoutheight=\dimen262
+\Gm@layouthoffset=\dimen263
+\Gm@layoutvoffset=\dimen264
+\Gm@dimlist=\toks34
+)
+(/usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty
+Package: amsmath 2020/09/23 v2.17i AMS math features
+\@mathmargin=\skip49
+
+For additional information on amsmath, use the `?' option.
+(/usr/share/texmf-dist/tex/latex/amsmath/amstext.sty
+Package: amstext 2000/06/29 v2.01 AMS text
+
+(/usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty
+File: amsgen.sty 1999/11/30 v2.0 generic functions
+\@emptytoks=\toks35
+\ex@=\dimen265
+))
+(/usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty
+Package: amsbsy 1999/11/29 v1.2d Bold Symbols
+\pmbraise@=\dimen266
+)
+(/usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty
+Package: amsopn 2016/03/08 v2.02 operator names
+)
+\inf@bad=\count276
+LaTeX Info: Redefining \frac on input line 234.
+\uproot@=\count277
+\leftroot@=\count278
+LaTeX Info: Redefining \overline on input line 399.
+\classnum@=\count279
+\DOTSCASE@=\count280
+LaTeX Info: Redefining \ldots on input line 496.
+LaTeX Info: Redefining \dots on input line 499.
+LaTeX Info: Redefining \cdots on input line 620.
+\Mathstrutbox@=\box69
+\strutbox@=\box70
+\big@size=\dimen267
+LaTeX Font Info:    Redeclaring font encoding OML on input line 743.
+LaTeX Font Info:    Redeclaring font encoding OMS on input line 744.
+\macc@depth=\count281
+\c@MaxMatrixCols=\count282
+\dotsspace@=\muskip16
+\c@parentequation=\count283
+\dspbrk@lvl=\count284
+\tag@help=\toks36
+\row@=\count285
+\column@=\count286
+\maxfields@=\count287
+\andhelp@=\toks37
+\eqnshift@=\dimen268
+\alignsep@=\dimen269
+\tagshift@=\dimen270
+\tagwidth@=\dimen271
+\totwidth@=\dimen272
+\lineht@=\dimen273
+\@envbody=\toks38
+\multlinegap=\skip50
+\multlinetaggap=\skip51
+\mathdisplay@stack=\toks39
+LaTeX Info: Redefining \[ on input line 2923.
+LaTeX Info: Redefining \] on input line 2924.
+)
+(/usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty
+Package: amssymb 2013/01/14 v3.01 AMS font symbols
+
+(/usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty
+Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support
+\symAMSa=\mathgroup5
+\symAMSb=\mathgroup6
+LaTeX Font Info:    Redeclaring math symbol \hbar on input line 98.
+LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
+(Font)                  U/euf/m/n --> U/euf/b/n on input line 106.
+))
+(/usr/share/texmf-dist/tex/latex/base/textcomp.sty
+Package: textcomp 2020/02/02 v2.0n Standard LaTeX package
+)
+(/usr/share/texmf-dist/tex/latex/upquote/upquote.sty
+Package: upquote 2012/04/19 v1.3 upright-quote and grave-accent glyphs in verba
+tim
+)
+(/usr/share/texmf-dist/tex/latex/eurosym/eurosym.sty
+Package: eurosym 1998/08/06 v1.1 European currency symbol ``Euro''
+\@eurobox=\box71
+)
+(/usr/share/texmf-dist/tex/latex/ucs/ucs.sty
+Package: ucs 2013/05/11 v2.2 UCS: Unicode input support
+
+(/usr/share/texmf-dist/tex/latex/ucs/data/uni-global.def
+File: uni-global.def 2013/05/13 UCS: Unicode global data
+)
+\uc@secondtry=\count288
+\uc@combtoks=\toks40
+\uc@combtoksb=\toks41
+\uc@temptokena=\toks42
+)
+(/usr/share/texmf-dist/tex/latex/fancyvrb/fancyvrb.sty
+Package: fancyvrb 2020/05/03 v3.6 verbatim text (tvz,hv)
+\FV@CodeLineNo=\count289
+\FV@InFile=\read4
+\FV@TabBox=\box72
+\c@FancyVerbLine=\count290
+\FV@StepNumber=\count291
+\FV@OutFile=\write6
+)
+(/usr/share/texmf-dist/tex/latex/grffile/grffile.sty
+Package: grffile 2019/11/11 v2.1 Extended file name support for graphics (legac
+y)
+Package grffile Info: This package is an empty stub for compatibility on input 
+line 40.
+)
+(/usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty
+Package: hyperref 2020-05-15 v7.00e Hypertext links for LaTeX
+
+(/usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty
+Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO
+)
+Package pdftexcmds Info: \pdf@primitive is available.
+Package pdftexcmds Info: \pdf@ifprimitive is available.
+Package pdftexcmds Info: \pdfdraftmode found.
+)
+(/usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty
+Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO)
+)
+(/usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty
+Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO)
+)
+(/usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty
+Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO)
+)
+(/usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty
+Package: letltxmacro 2019/12/03 v1.6 Let assignment for LaTeX macros (HO)
+)
+(/usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty
+Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO)
+)
+\@linkdim=\dimen274
+\Hy@linkcounter=\count292
+\Hy@pagecounter=\count293
+
+(/usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def
+File: pd1enc.def 2020-05-15 v7.00e Hyperref: PDFDocEncoding definition (HO)
+Now handling font encoding PD1 ...
+... no UTF-8 mapping file for font encoding PD1
+)
+(/usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty
+Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO)
+)
+(/usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty
+Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO)
+)
+\Hy@SavedSpaceFactor=\count294
+Package hyperref Info: Hyper figures OFF on input line 4464.
+Package hyperref Info: Link nesting OFF on input line 4469.
+Package hyperref Info: Hyper index ON on input line 4472.
+Package hyperref Info: Plain pages OFF on input line 4479.
+Package hyperref Info: Backreferencing OFF on input line 4484.
+Package hyperref Info: Implicit mode ON; LaTeX internals redefined.
+Package hyperref Info: Bookmarks ON on input line 4717.
+\c@Hy@tempcnt=\count295
+
+(/usr/share/texmf-dist/tex/latex/url/url.sty
+\Urlmuskip=\muskip17
+Package: url 2013/09/16  ver 3.4  Verb mode for urls, etc.
+)
+LaTeX Info: Redefining \url on input line 5076.
+\XeTeXLinkMargin=\dimen275
+
+(/usr/share/texmf-dist/tex/generic/bitset/bitset.sty
+Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO)
+
+(/usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
+Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO
+)
+))
+\Fld@menulength=\count296
+\Field@Width=\dimen276
+\Fld@charsize=\dimen277
+Package hyperref Info: Hyper figures OFF on input line 6347.
+Package hyperref Info: Link nesting OFF on input line 6352.
+Package hyperref Info: Hyper index ON on input line 6355.
+Package hyperref Info: backreferencing OFF on input line 6362.
+Package hyperref Info: Link coloring OFF on input line 6367.
+Package hyperref Info: Link coloring with OCG OFF on input line 6372.
+Package hyperref Info: PDF/A mode OFF on input line 6377.
+LaTeX Info: Redefining \ref on input line 6417.
+LaTeX Info: Redefining \pageref on input line 6421.
+
+(/usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty
+Package: atbegshi-ltx 2020/08/17 v1.0a Emulation of the original atbegshi packa
+ge
+with kernel methods
+)
+\Hy@abspage=\count297
+\c@Item=\count298
+\c@Hfootnote=\count299
+)
+Package hyperref Info: Driver (autodetected): hpdftex.
+
+(/usr/share/texmf-dist/tex/latex/hyperref/hpdftex.def
+File: hpdftex.def 2020-05-15 v7.00e Hyperref driver for pdfTeX
+
+(/usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty
+Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atvery packag
+e
+with kernel methods
+)
+\Fld@listcount=\count300
+\c@bookmark@seq@number=\count301
+
+(/usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
+Package: rerunfilecheck 2019/12/05 v1.9 Rerun checks for auxiliary files (HO)
+
+(/usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty
+Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO)
+)
+Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2
+86.
+)
+\Hy@SectionHShift=\skip52
+)
+(/usr/share/texmf-dist/tex/latex/titling/titling.sty
+Package: titling 2009/09/04 v2.1d maketitle typesetting
+\thanksmarkwidth=\skip53
+\thanksmargin=\skip54
+\droptitle=\skip55
+)
+(/usr/share/texmf-dist/tex/latex/tools/longtable.sty
+Package: longtable 2020/01/07 v4.13 Multi-page Table package (DPC)
+\LTleft=\skip56
+\LTright=\skip57
+\LTpre=\skip58
+\LTpost=\skip59
+\LTchunksize=\count302
+\LTcapwidth=\dimen278
+\LT@head=\box73
+\LT@firsthead=\box74
+\LT@foot=\box75
+\LT@lastfoot=\box76
+\LT@cols=\count303
+\LT@rows=\count304
+\c@LT@tables=\count305
+\c@LT@chunks=\count306
+\LT@p@ftn=\toks43
+)
+(/usr/share/texmf-dist/tex/latex/booktabs/booktabs.sty
+Package: booktabs 2020/01/12 v1.61803398 Publication quality tables
+\heavyrulewidth=\dimen279
+\lightrulewidth=\dimen280
+\cmidrulewidth=\dimen281
+\belowrulesep=\dimen282
+\belowbottomsep=\dimen283
+\aboverulesep=\dimen284
+\abovetopsep=\dimen285
+\cmidrulesep=\dimen286
+\cmidrulekern=\dimen287
+\defaultaddspace=\dimen288
+\@cmidla=\count307
+\@cmidlb=\count308
+\@aboverulesep=\dimen289
+\@belowrulesep=\dimen290
+\@thisruleclass=\count309
+\@lastruleclass=\count310
+\@thisrulewidth=\dimen291
+)
+(/usr/share/texmf-dist/tex/latex/enumitem/enumitem.sty
+Package: enumitem 2019/06/20 v3.9 Customized lists
+\labelindent=\skip60
+\enit@outerparindent=\dimen292
+\enit@toks=\toks44
+\enit@inbox=\box77
+\enit@count@id=\count311
+\enitdp@description=\count312
+)
+(/usr/share/texmf-dist/tex/generic/ulem/ulem.sty
+\UL@box=\box78
+\UL@hyphenbox=\box79
+\UL@skip=\skip61
+\UL@hook=\toks45
+\UL@height=\dimen293
+\UL@pe=\count313
+\UL@pixel=\dimen294
+\ULC@box=\box80
+Package: ulem 2019/11/18
+\ULdepth=\dimen295
+)
+(/usr/share/texmf-dist/tex/latex/jknapltx/mathrsfs.sty
+Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk)
+\symrsfs=\mathgroup7
+)
+\Wrappedcontinuationbox=\box81
+\Wrappedvisiblespacebox=\box82
+Package hyperref Info: Option `breaklinks' set `true' on input line 361.
+Package hyperref Info: Option `colorlinks' set `true' on input line 361.
+LaTeX Font Info:    Trying to load font information for T1+ppl on input line 36
+8.
+
+(/usr/share/texmf-dist/tex/latex/psnfss/t1ppl.fd
+File: t1ppl.fd 2001/06/04 font definitions for T1/ppl.
+)
+(/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def
+File: l3backend-pdftex.def 2020-09-24 L3 backend support: PDF output (pdfTeX)
+\l__kernel_color_stack_int=\count314
+\l__pdf_internal_box=\box83
+)
+No file 7-SageAlgebra.aux.
+\openout1 = `7-SageAlgebra.aux'.
+
+LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 368.
+LaTeX Font Info:    ... okay on input line 368.
+(/usr/share/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
+[Loading MPS to PDF converter (version 2006.09.02).]
+\scratchcounter=\count315
+\scratchdimen=\dimen296
+\scratchbox=\box84
+\nofMPsegments=\count316
+\nofMParguments=\count317
+\everyMPshowfont=\toks46
+\MPscratchCnt=\count318
+\MPscratchDim=\dimen297
+\MPnumerator=\count319
+\makeMPintoPDFobject=\count320
+\everyMPtoPDFconversion=\toks47
+) (/usr/share/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
+Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf
+Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4
+85.
+
+(/usr/share/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
+File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv
+e
+))
+Package caption Info: Begin \AtBeginDocument code.
+Package caption Info: float package is loaded.
+Package caption Info: hyperref package is loaded.
+Package caption Info: longtable package is loaded.
+
+(/usr/share/texmf-dist/tex/latex/caption/ltcaption.sty
+Package: ltcaption 2020/05/30 v1.4b longtable captions (AR)
+)
+Package caption Info: End \AtBeginDocument code.
+
+*geometry* driver: auto-detecting
+*geometry* detected driver: pdftex
+*geometry* verbose mode - [ preamble ] result:
+* driver: pdftex
+* paper: <default>
+* layout: <same size as paper>
+* layoutoffset:(h,v)=(0.0pt,0.0pt)
+* modes: 
+* h-part:(L,W,R)=(72.26999pt, 469.75502pt, 72.26999pt)
+* v-part:(T,H,B)=(72.26999pt, 650.43001pt, 72.26999pt)
+* \paperwidth=614.295pt
+* \paperheight=794.96999pt
+* \textwidth=469.75502pt
+* \textheight=650.43001pt
+* \oddsidemargin=0.0pt
+* \evensidemargin=0.0pt
+* \topmargin=-37.0pt
+* \headheight=12.0pt
+* \headsep=25.0pt
+* \topskip=11.0pt
+* \footskip=30.0pt
+* \marginparwidth=59.0pt
+* \marginparsep=10.0pt
+* \columnsep=10.0pt
+* \skip\footins=10.0pt plus 4.0pt minus 2.0pt
+* \hoffset=0.0pt
+* \voffset=0.0pt
+* \mag=1000
+* \@twocolumnfalse
+* \@twosidefalse
+* \@mparswitchfalse
+* \@reversemarginfalse
+* (1in=72.27pt=25.4mm, 1cm=28.453pt)
+
+(/usr/share/texmf-dist/tex/latex/ucs/ucsencs.def
+File: ucsencs.def 2011/01/21 Fixes to fontencodings LGR, T3
+)
+Package hyperref Info: Link coloring ON on input line 368.
+
+(/usr/share/texmf-dist/tex/latex/hyperref/nameref.sty
+Package: nameref 2019/09/16 v2.46 Cross-referencing by name of section
+
+(/usr/share/texmf-dist/tex/latex/refcount/refcount.sty
+Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO)
+)
+(/usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
+Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO)
+)
+\c@section@level=\count321
+)
+LaTeX Info: Redefining \ref on input line 368.
+LaTeX Info: Redefining \pageref on input line 368.
+LaTeX Info: Redefining \nameref on input line 368.
+\@outlinefile=\write7
+\openout7 = `7-SageAlgebra.out'.
+
+LaTeX Font Info:    Trying to load font information for OT1+ppl on input line 3
+70.
+
+(/usr/share/texmf-dist/tex/latex/psnfss/ot1ppl.fd
+File: ot1ppl.fd 2001/06/04 font definitions for OT1/ppl.
+)
+LaTeX Font Info:    Trying to load font information for OML+zplm on input line 
+370.
+
+(/usr/share/texmf-dist/tex/latex/psnfss/omlzplm.fd
+File: omlzplm.fd 2002/09/08 Fontinst v1.914 font definitions for OML/zplm.
+)
+LaTeX Font Info:    Trying to load font information for OMS+zplm on input line 
+370.
+
+(/usr/share/texmf-dist/tex/latex/psnfss/omszplm.fd
+File: omszplm.fd 2002/09/08 Fontinst v1.914 font definitions for OMS/zplm.
+)
+LaTeX Font Info:    Trying to load font information for OMX+zplm on input line 
+370.
+
+(/usr/share/texmf-dist/tex/latex/psnfss/omxzplm.fd
+File: omxzplm.fd 2002/09/08 Fontinst v1.914 font definitions for OMX/zplm.
+)
+LaTeX Font Info:    Trying to load font information for OT1+zplm on input line 
+370.
+
+(/usr/share/texmf-dist/tex/latex/psnfss/ot1zplm.fd
+File: ot1zplm.fd 2002/09/08 Fontinst v1.914 font definitions for OT1/zplm.
+)
+LaTeX Font Info:    Font shape `U/msa/m/n' will be
+(Font)              scaled to size 12.50409pt on input line 370.
+LaTeX Font Info:    Font shape `U/msa/m/n' will be
+(Font)              scaled to size 9.37807pt on input line 370.
+LaTeX Font Info:    Font shape `U/msa/m/n' will be
+(Font)              scaled to size 7.29405pt on input line 370.
+LaTeX Font Info:    Font shape `U/msb/m/n' will be
+(Font)              scaled to size 12.50409pt on input line 370.
+LaTeX Font Info:    Font shape `U/msb/m/n' will be
+(Font)              scaled to size 9.37807pt on input line 370.
+LaTeX Font Info:    Font shape `U/msb/m/n' will be
+(Font)              scaled to size 7.29405pt on input line 370.
+LaTeX Font Info:    Trying to load font information for U+rsfs on input line 37
+0.
+
+(/usr/share/texmf-dist/tex/latex/jknapltx/ursfs.fd
+File: ursfs.fd 1998/03/24 rsfs font definition file (jk)
+)
+LaTeX Font Info:    Trying to load font information for T1+cmtt on input line 3
+70.
+
+(/usr/share/texmf-dist/tex/latex/base/t1cmtt.fd
+File: t1cmtt.fd 2019/12/16 v2.5j Standard LaTeX font definitions
+)
+LaTeX Font Info:    Font shape `U/msa/m/n' will be
+(Font)              scaled to size 11.40997pt on input line 376.
+LaTeX Font Info:    Font shape `U/msa/m/n' will be
+(Font)              scaled to size 8.33606pt on input line 376.
+LaTeX Font Info:    Font shape `U/msa/m/n' will be
+(Font)              scaled to size 6.25204pt on input line 376.
+LaTeX Font Info:    Font shape `U/msb/m/n' will be
+(Font)              scaled to size 11.40997pt on input line 376.
+LaTeX Font Info:    Font shape `U/msb/m/n' will be
+(Font)              scaled to size 8.33606pt on input line 376.
+LaTeX Font Info:    Font shape `U/msb/m/n' will be
+(Font)              scaled to size 6.25204pt on input line 376.
+ [1
+
+{/usr/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]
+LaTeX Font Info:    Trying to load font information for TS1+cmtt on input line 
+496.
+ (/usr/share/texmf-dist/tex/latex/base/ts1cmtt.fd
+File: ts1cmtt.fd 2019/12/16 v2.5j Standard LaTeX font definitions
+) [2]
+LaTeX Font Info:    Trying to load font information for U+fplmbb on input line 
+562.
+ (/usr/share/texmf-dist/tex/latex/psnfss/ufplmbb.fd
+File: ufplmbb.fd 2003/10/30 Fontinst v1.914 font definitions for U/fplmbb.
+)
+
+Package longtable Warning: Column widths have changed
+(longtable)                in table 1 on input line 587.
+
+[3] [4]
+LaTeX Font Info:    Font shape `T1/cmtt/bx/n' in size <10.95> not available
+(Font)              Font shape `T1/cmtt/m/n' tried instead on input line 798.
+ [5] [6] [7] [8] [9] [10] [11] [12]
+
+Package longtable Warning: Table widths have changed. Rerun LaTeX.
+
+(./7-SageAlgebra.aux)
+
+Package rerunfilecheck Warning: File `7-SageAlgebra.out' has changed.
+(rerunfilecheck)                Rerun to get outlines right
+(rerunfilecheck)                or use package `bookmark'.
+
+Package rerunfilecheck Info: Checksums for `7-SageAlgebra.out':
+(rerunfilecheck)             Before: <no file>
+(rerunfilecheck)             After:  961D93ACE9582C324C6D1EA7B5DE7C92;970.
+
+LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.
+
+ ) 
+Here is how much of TeX's memory you used:
+ 21321 strings out of 479383
+ 388521 string characters out of 5875798
+ 751012 words of memory out of 5000000
+ 37920 multiletter control sequences out of 15000+600000
+ 445530 words of font info for 135 fonts, out of 8000000 for 9000
+ 1141 hyphenation exceptions out of 8191
+ 107i,14n,111p,506b,616s stack positions out of 5000i,500n,10000p,200000b,80000s
+{/usr/share/texmf-dist/fonts/enc/dvips/cm-super/cm-super-ts1.enc}{/usr/share/
+texmf-dist/fonts/enc/dvips/cm-super/cm-super-t1.enc}{/usr/share/texmf-dist/font
+s/enc/dvips/base/8r.enc}</usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/c
+mex10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></us
+r/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texmf-d
+ist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texmf-dist/fonts/type
+1/public/mathpazo/fplmbb.pfb></usr/share/texmf-dist/fonts/type1/public/mathpazo
+/fplmr.pfb></usr/share/texmf-dist/fonts/type1/public/mathpazo/fplmri.pfb></usr/
+share/texmf-dist/fonts/type1/public/cm-super/sfit1095.pfb></usr/share/texmf-dis
+t/fonts/type1/public/cm-super/sftt1095.pfb></usr/share/texmf-dist/fonts/type1/p
+ublic/cm-super/sftt1200.pfb></usr/share/texmf-dist/fonts/type1/urw/palatino/upl
+b8a.pfb></usr/share/texmf-dist/fonts/type1/urw/palatino/uplr8a.pfb></usr/share/
+texmf-dist/fonts/type1/urw/palatino/uplri8a.pfb>
+Output written on 7-SageAlgebra.pdf (12 pages, 226346 bytes).
+PDF statistics:
+ 184 PDF objects out of 1000 (max. 8388607)
+ 155 compressed objects within 2 object streams
+ 46 named destinations out of 1000 (max. 500000)
+ 13 words of extra memory for PDF output out of 10000 (max. 10000000)
+