This is pdfTeX, Version 3.141592653-2.6-1.40.27 (TeX Live 2025) (preloaded format=pdflatex 2025.6.14) 15 DEC 2025 16:06 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **out.tex (./out.tex LaTeX2e <2024-11-01> patch level 2 L3 programming layer <2025-01-18> (/usr/local/texlive/2025/texmf-dist/tex/latex/base/article.cls Document Class: article 2024/06/29 v1.4n Standard LaTeX document class (/usr/local/texlive/2025/texmf-dist/tex/latex/base/size11.clo File: size11.clo 2024/06/29 v1.4n Standard LaTeX file (size option) ) \c@part=\count196 \c@section=\count197 \c@subsection=\count198 \c@subsubsection=\count199 \c@paragraph=\count266 \c@subparagraph=\count267 \c@figure=\count268 \c@table=\count269 \abovecaptionskip=\skip49 \belowcaptionskip=\skip50 \bibindent=\dimen141 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/base/fontenc.sty Package: fontenc 2021/04/29 v2.0v Standard LaTeX package ) (/usr/local/texlive/2025/texmf-dist/tex/latex/base/inputenc.sty Package: inputenc 2024/02/08 v1.3d Input encoding file \inpenc@prehook=\toks17 \inpenc@posthook=\toks18 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/lmodern.sty Package: lmodern 2015/05/01 v1.6.1 Latin Modern Fonts LaTeX Font Info: Overwriting symbol font `operators' in version `normal' (Font) OT1/cmr/m/n --> OT1/lmr/m/n on input line 22. LaTeX Font Info: Overwriting symbol font `letters' in version `normal' (Font) OML/cmm/m/it --> OML/lmm/m/it on input line 23. LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' (Font) OMS/cmsy/m/n --> OMS/lmsy/m/n on input line 24. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' (Font) OMX/cmex/m/n --> OMX/lmex/m/n on input line 25. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' (Font) OT1/cmr/bx/n --> OT1/lmr/bx/n on input line 26. LaTeX Font Info: Overwriting symbol font `letters' in version `bold' (Font) OML/cmm/b/it --> OML/lmm/b/it on input line 27. LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' (Font) OMS/cmsy/b/n --> OMS/lmsy/b/n on input line 28. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' (Font) OMX/cmex/m/n --> OMX/lmex/m/n on input line 29. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' (Font) OT1/cmr/bx/n --> OT1/lmr/bx/n on input line 31. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' (Font) OT1/cmss/m/n --> OT1/lmss/m/n on input line 32. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' (Font) OT1/cmr/m/it --> OT1/lmr/m/it on input line 33. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' (Font) OT1/cmtt/m/n --> OT1/lmtt/m/n on input line 34. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/cmr/bx/n --> OT1/lmr/bx/n on input line 35. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/cmss/bx/n --> OT1/lmss/bx/n on input line 36. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/cmr/bx/it --> OT1/lmr/bx/it on input line 37. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/lmtt/m/n on input line 38. ) (/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/microtype.sty Package: microtype 2025/02/11 v3.2a Micro-typographical refinements (RS) (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks19 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/etoolbox/etoolbox.sty Package: etoolbox 2025/02/11 v2.5l e-TeX tools for LaTeX (JAW) \etb@tempcnta=\count270 ) \MT@toks=\toks20 \MT@tempbox=\box52 \MT@count=\count271 LaTeX Info: Redefining \noprotrusionifhmode on input line 1087. LaTeX Info: Redefining \leftprotrusion on input line 1088. \MT@prot@toks=\toks21 LaTeX Info: Redefining \rightprotrusion on input line 1107. LaTeX Info: Redefining \textls on input line 1449. \MT@outer@kern=\dimen142 LaTeX Info: Redefining \microtypecontext on input line 2053. LaTeX Info: Redefining \textmicrotypecontext on input line 2070. \MT@listname@count=\count272 (/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/microtype-pdftex.def File: microtype-pdftex.def 2025/02/11 v3.2a Definitions specific to pdftex (RS) LaTeX Info: Redefining \lsstyle on input line 944. LaTeX Info: Redefining \lslig on input line 944. \MT@outer@space=\skip51 ) Package microtype Info: Loading configuration file microtype.cfg. (/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/microtype.cfg File: microtype.cfg 2025/02/11 v3.2a microtype main configuration file (RS) ) LaTeX Info: Redefining \microtypesetup on input line 3065. ) (/usr/local/texlive/2025/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry (/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. (/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/iftex.sty Package: iftex 2024/12/12 v1.0g TeX engine tests )) \Gm@cnth=\count273 \Gm@cntv=\count274 \c@Gm@tempcnt=\count275 \Gm@bindingoffset=\dimen143 \Gm@wd@mp=\dimen144 \Gm@odd@mp=\dimen145 \Gm@even@mp=\dimen146 \Gm@layoutwidth=\dimen147 \Gm@layoutheight=\dimen148 \Gm@layouthoffset=\dimen149 \Gm@layoutvoffset=\dimen150 \Gm@dimlist=\toks22 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2024/11/05 v2.17t AMS math features \@mathmargin=\skip52 For additional information on amsmath, use the `?' option. (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2021/08/26 v2.01 AMS text (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks23 \ex@=\dimen151 )) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen152 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count276 LaTeX Info: Redefining \frac on input line 233. \uproot@=\count277 \leftroot@=\count278 LaTeX Info: Redefining \overline on input line 398. LaTeX Info: Redefining \colon on input line 409. \classnum@=\count279 \DOTSCASE@=\count280 LaTeX Info: Redefining \ldots on input line 495. LaTeX Info: Redefining \dots on input line 498. LaTeX Info: Redefining \cdots on input line 619. \Mathstrutbox@=\box53 \strutbox@=\box54 LaTeX Info: Redefining \big on input line 721. LaTeX Info: Redefining \Big on input line 722. LaTeX Info: Redefining \bigg on input line 723. LaTeX Info: Redefining \Bigg on input line 724. \big@size=\dimen153 LaTeX Font Info: Redeclaring font encoding OML on input line 742. LaTeX Font Info: Redeclaring font encoding OMS on input line 743. \macc@depth=\count281 LaTeX Info: Redefining \bmod on input line 904. LaTeX Info: Redefining \pmod on input line 909. LaTeX Info: Redefining \smash on input line 939. LaTeX Info: Redefining \relbar on input line 969. LaTeX Info: Redefining \Relbar on input line 970. \c@MaxMatrixCols=\count282 \dotsspace@=\muskip17 \c@parentequation=\count283 \dspbrk@lvl=\count284 \tag@help=\toks24 \row@=\count285 \column@=\count286 \maxfields@=\count287 \andhelp@=\toks25 \eqnshift@=\dimen154 \alignsep@=\dimen155 \tagshift@=\dimen156 \tagwidth@=\dimen157 \totwidth@=\dimen158 \lineht@=\dimen159 \@envbody=\toks26 \multlinegap=\skip53 \multlinetaggap=\skip54 \mathdisplay@stack=\toks27 LaTeX Info: Redefining \[ on input line 2953. LaTeX Info: Redefining \] on input line 2954. ) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 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/local/texlive/2025/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks28 \thm@bodyfont=\toks29 \thm@headfont=\toks30 \thm@notefont=\toks31 \thm@headpunct=\toks32 \thm@preskip=\skip55 \thm@postskip=\skip56 \thm@headsep=\skip57 \dth@everypar=\toks33 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/mathtools/mathtools.sty Package: mathtools 2024/10/04 v1.31 mathematical typesetting tools (/usr/local/texlive/2025/texmf-dist/tex/latex/tools/calc.sty Package: calc 2023/07/08 v4.3 Infix arithmetic (KKT,FJ) \calc@Acount=\count288 \calc@Bcount=\count289 \calc@Adimen=\dimen160 \calc@Bdimen=\dimen161 \calc@Askip=\skip58 \calc@Bskip=\skip59 LaTeX Info: Redefining \setlength on input line 80. LaTeX Info: Redefining \addtolength on input line 81. \calc@Ccount=\count290 \calc@Cskip=\skip60 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/mathtools/mhsetup.sty Package: mhsetup 2021/03/18 v1.4 programming setup (MH) ) \g_MT_multlinerow_int=\count291 \l_MT_multwidth_dim=\dimen162 \origjot=\skip61 \l_MT_shortvdotswithinadjustabove_dim=\dimen163 \l_MT_shortvdotswithinadjustbelow_dim=\dimen164 \l_MT_above_intertext_sep=\dimen165 \l_MT_below_intertext_sep=\dimen166 \l_MT_above_shortintertext_sep=\dimen167 \l_MT_below_shortintertext_sep=\dimen168 \xmathstrut@box=\box55 \xmathstrut@dim=\dimen169 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hyperref.sty Package: hyperref 2024-11-05 v7.01l Hypertext links for LaTeX (/usr/local/texlive/2025/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pdfescape/pdfescape.sty Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO) (/usr/local/texlive/2025/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty Package: ltxcmds 2023-12-04 v1.26 LaTeX kernel commands for general use (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO ) (/usr/local/texlive/2025/texmf-dist/tex/generic/infwarerr/infwarerr.sty Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) ) Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. )) (/usr/local/texlive/2025/texmf-dist/tex/latex/hycolor/hycolor.sty Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2023-11-26 v2.56 Cross-referencing by name of section (/usr/local/texlive/2025/texmf-dist/tex/latex/refcount/refcount.sty Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/gettitlestring/gettitlestring.s ty Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) (/usr/local/texlive/2025/texmf-dist/tex/latex/kvoptions/kvoptions.sty Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO) )) \c@section@level=\count292 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/stringenc/stringenc.sty Package: stringenc 2019/11/29 v1.12 Convert strings between diff. encodings (HO ) ) \@linkdim=\dimen170 \Hy@linkcounter=\count293 \Hy@pagecounter=\count294 (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2024-11-05 v7.01l Hyperref: PDFDocEncoding definition (HO) Now handling font encoding PD1 ... ... no UTF-8 mapping file for font encoding PD1 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/intcalc/intcalc.sty Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO) ) \Hy@SavedSpaceFactor=\count295 (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/puenc.def File: puenc.def 2024-11-05 v7.01l Hyperref: PDF Unicode definition (HO) Now handling font encoding PU ... ... no UTF-8 mapping file for font encoding PU ) Package hyperref Info: Hyper figures OFF on input line 4157. Package hyperref Info: Link nesting OFF on input line 4162. Package hyperref Info: Hyper index ON on input line 4165. Package hyperref Info: Plain pages OFF on input line 4172. Package hyperref Info: Backreferencing OFF on input line 4177. Package hyperref Info: Implicit mode ON; LaTeX internals redefined. Package hyperref Info: Bookmarks ON on input line 4424. \c@Hy@tempcnt=\count296 (/usr/local/texlive/2025/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip18 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 4763. \XeTeXLinkMargin=\dimen171 (/usr/local/texlive/2025/texmf-dist/tex/generic/bitset/bitset.sty Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO) (/usr/local/texlive/2025/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO ) )) \Fld@menulength=\count297 \Field@Width=\dimen172 \Fld@charsize=\dimen173 Package hyperref Info: Hyper figures OFF on input line 6042. Package hyperref Info: Link nesting OFF on input line 6047. Package hyperref Info: Hyper index ON on input line 6050. Package hyperref Info: backreferencing OFF on input line 6057. Package hyperref Info: Link coloring OFF on input line 6062. Package hyperref Info: Link coloring with OCG OFF on input line 6067. Package hyperref Info: PDF/A mode OFF on input line 6072. (/usr/local/texlive/2025/texmf-dist/tex/latex/base/atbegshi-ltx.sty Package: atbegshi-ltx 2021/01/10 v1.0c Emulation of the original atbegshi package with kernel methods ) \Hy@abspage=\count298 \c@Item=\count299 \c@Hfootnote=\count300 ) Package hyperref Info: Driver (autodetected): hpdftex. (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2024-11-05 v7.01l Hyperref driver for pdfTeX (/usr/local/texlive/2025/texmf-dist/tex/latex/base/atveryend-ltx.sty Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atveryend pac kage with kernel methods ) \Fld@listcount=\count301 \c@bookmark@seq@number=\count302 (/usr/local/texlive/2025/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty Package: rerunfilecheck 2022-07-10 v1.10 Rerun checks for auxiliary files (HO) (/usr/local/texlive/2025/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 85. ) \Hy@SectionHShift=\skip62 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/enumitem/enumitem.sty Package: enumitem 2025/02/06 v3.11 Customized lists \labelindent=\skip63 \enit@outerparindent=\dimen174 \enit@toks=\toks34 \enit@inbox=\box56 \enit@count@id=\count303 \enitdp@description=\count304 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.te x \pgfutil@everybye=\toks35 \pgfutil@tempdima=\dimen175 \pgfutil@tempdimb=\dimen176 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def \pgfutil@abb=\box57 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/pgf.revision.tex) Package: pgfrcs 2023-01-15 v3.1.10 (3.1.10) )) Package: pgf 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2024/08/06 v1.4g Standard LaTeX Graphics (DPC,SPQR) (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2023/12/02 v1.11 sin cos tan (DPC) ) (/usr/local/texlive/2025/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 106. (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-def/pdftex.def File: pdftex.def 2024/04/13 v1.2c Graphics/color driver for pdftex )) \Gin@req@height=\dimen177 \Gin@req@width=\dimen178 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex Package: pgfsys 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex \pgfkeys@pathtoks=\toks36 \pgfkeys@temptoks=\toks37 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfil tered.code.tex \pgfkeys@tmptoks=\toks38 )) \pgf@x=\dimen179 \pgf@y=\dimen180 \pgf@xa=\dimen181 \pgf@ya=\dimen182 \pgf@xb=\dimen183 \pgf@yb=\dimen184 \pgf@xc=\dimen185 \pgf@yc=\dimen186 \pgf@xd=\dimen187 \pgf@yd=\dimen188 \w@pgf@writea=\write3 \r@pgf@reada=\read2 \c@pgf@counta=\count305 \c@pgf@countb=\count306 \c@pgf@countc=\count307 \c@pgf@countd=\count308 \t@pgf@toka=\toks39 \t@pgf@tokb=\toks40 \t@pgf@tokc=\toks41 \pgf@sys@id@count=\count309 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg File: pgf.cfg 2023-01-15 v3.1.10 (3.1.10) ) Driver file for pgf: pgfsys-pdftex.def (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.d ef File: pgfsys-pdftex.def 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-p df.def File: pgfsys-common-pdf.def 2023-01-15 v3.1.10 (3.1.10) ))) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath. code.tex File: pgfsyssoftpath.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfsyssoftpath@smallbuffer@items=\count310 \pgfsyssoftpath@bigbuffer@items=\count311 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol. code.tex File: pgfsysprotocol.code.tex 2023-01-15 v3.1.10 (3.1.10) )) (/usr/local/texlive/2025/texmf-dist/tex/latex/xcolor/xcolor.sty Package: xcolor 2024/09/29 v3.02 LaTeX color extensions (UK) (/usr/local/texlive/2025/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 274. (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/mathcolor.ltx) Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1349. Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1353. Package xcolor Info: Model `RGB' extended on input line 1365. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1367. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1368. Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1369. Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1370. Package xcolor Info: Model `Gray' substituted by `gray' on input line 1371. Package xcolor Info: Model `wave' substituted by `hsb' on input line 1372. ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex Package: pgfcore 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex \pgfmath@dimen=\dimen189 \pgfmath@count=\count312 \pgfmath@box=\box58 \pgfmath@toks=\toks42 \pgfmath@stack@operand=\toks43 \pgfmath@stack@operation=\toks44 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code. tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic .code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigo nometric.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.rando m.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.compa rison.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base. code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round .code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc. code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integ erarithmetics.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex \c@pgfmathroundto@lastzeros=\count313 )) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.co de.tex File: pgfcorepoints.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgf@picminx=\dimen190 \pgf@picmaxx=\dimen191 \pgf@picminy=\dimen192 \pgf@picmaxy=\dimen193 \pgf@pathminx=\dimen194 \pgf@pathmaxx=\dimen195 \pgf@pathminy=\dimen196 \pgf@pathmaxy=\dimen197 \pgf@xx=\dimen198 \pgf@xy=\dimen199 \pgf@yx=\dimen256 \pgf@yy=\dimen257 \pgf@zx=\dimen258 \pgf@zy=\dimen259 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconst ruct.code.tex File: pgfcorepathconstruct.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgf@path@lastx=\dimen260 \pgf@path@lasty=\dimen261 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage .code.tex File: pgfcorepathusage.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgf@shorten@end@additional=\dimen262 \pgf@shorten@start@additional=\dimen263 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.co de.tex File: pgfcorescopes.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfpic=\box59 \pgf@hbox=\box60 \pgf@layerbox@main=\box61 \pgf@picture@serial@count=\count314 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicst ate.code.tex File: pgfcoregraphicstate.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgflinewidth=\dimen264 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransform ations.code.tex File: pgfcoretransformations.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgf@pt@x=\dimen265 \pgf@pt@y=\dimen266 \pgf@pt@temp=\dimen267 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.cod e.tex File: pgfcorequick.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.c ode.tex File: pgfcoreobjects.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathproce ssing.code.tex File: pgfcorepathprocessing.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.co de.tex File: pgfcorearrows.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfarrowsep=\dimen268 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.cod e.tex File: pgfcoreshade.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgf@max=\dimen269 \pgf@sys@shading@range@num=\count315 \pgf@shadingcount=\count316 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.cod e.tex File: pgfcoreimage.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal. code.tex File: pgfcoreexternal.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfexternal@startupbox=\box62 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.co de.tex File: pgfcorelayers.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretranspare ncy.code.tex File: pgfcoretransparency.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns. code.tex File: pgfcorepatterns.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code. tex File: pgfcorerdf.code.tex 2023-01-15 v3.1.10 (3.1.10) ))) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.cod e.tex File: pgfmoduleshapes.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfnodeparttextbox=\box63 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code. tex File: pgfmoduleplot.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version -0-65.sty Package: pgfcomp-version-0-65 2023-01-15 v3.1.10 (3.1.10) \pgf@nodesepstart=\dimen270 \pgf@nodesepend=\dimen271 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version -1-18.sty Package: pgfcomp-version-1-18 2023-01-15 v3.1.10 (3.1.10) )) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgffor.sty (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex) ) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/math/pgfmath.sty (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex Package: pgffor 2023-01-15 v3.1.10 (3.1.10) \pgffor@iter=\dimen272 \pgffor@skip=\dimen273 \pgffor@stack=\toks45 \pgffor@toks=\toks46 )) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.cod e.tex Package: tikz 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothan dlers.code.tex File: pgflibraryplothandlers.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgf@plot@mark@count=\count317 \pgfplotmarksize=\dimen274 ) \tikz@lastx=\dimen275 \tikz@lasty=\dimen276 \tikz@lastxsaved=\dimen277 \tikz@lastysaved=\dimen278 \tikz@lastmovetox=\dimen279 \tikz@lastmovetoy=\dimen280 \tikzleveldistance=\dimen281 \tikzsiblingdistance=\dimen282 \tikz@figbox=\box64 \tikz@figbox@bg=\box65 \tikz@tempbox=\box66 \tikz@tempbox@bg=\box67 \tikztreelevel=\count318 \tikznumberofchildren=\count319 \tikznumberofcurrentchild=\count320 \tikz@fig@count=\count321 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.cod e.tex File: pgfmodulematrix.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfmatrixcurrentrow=\count322 \pgfmatrixcurrentcolumn=\count323 \pgf@matrix@numberofcolumns=\count324 ) \tikz@expandcount=\count325 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarytopaths.code.tex File: tikzlibrarytopaths.code.tex 2023-01-15 v3.1.10 (3.1.10) ))) (/usr/local/texlive/2025/texmf-dist/tex/latex/pgfplots/pgfplots.sty (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplots.revision.tex) Package: pgfplots 2021/05/15 v1.18.1 Data Visualization (1.18.1) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplots.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotscore.code.tex \t@pgfplots@toka=\toks47 \t@pgfplots@tokb=\toks48 \t@pgfplots@tokc=\toks49 \pgfplots@tmpa=\dimen283 \c@pgfplots@coordindex=\count326 \c@pgfplots@scanlineindex=\count327 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/sys/pgfplotssysgeneric .code.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/libs/pgfplotslibrary.c ode.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplot soldpgfsupp_loader.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryfpu.cod e.tex) Package pgfplots: loading complementary utilities for your pgf version... \t@pgf@toka=\toks50 \t@pgf@tokb=\toks51 \t@pgf@tokc=\toks52 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplot soldpgfsupp_pgfutil-common-lists.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.code .tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/liststructure/pgfplots liststructure.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/liststructure/pgfplots liststructureext.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/liststructure/pgfplots array.code.tex \c@pgfplotsarray@tmp=\count328 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/liststructure/pgfplots matrix.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/numtable/pgfplotstable shared.code.tex \c@pgfplotstable@counta=\count329 \t@pgfplotstable@a=\toks53 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/liststructure/pgfplots deque.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.co de.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.da ta.code.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.verb .code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/libs/pgflibrarypgfplot s.surfshading.code.tex \c@pgfplotslibrarysurf@no=\count330 (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/sys/pgflibrarypgfplots .surfshading.pgfsys-pdftex.def))) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/util/pgfplotscolormap. code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/util/pgfplotscolor.cod e.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotsstackedplots.c ode.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotsplothandlers.c ode.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplothandle r.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplotimage. code.tex))) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplots.scaling.code. tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotscoordprocessin g.code.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplots.errorbars.cod e.tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplots.markers.code. tex) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplotsticks.code.tex ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/pgfplots.paths.code.te x) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarydecorations.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduledecoration s.code.tex \pgfdecoratedcompleteddistance=\dimen284 \pgfdecoratedremainingdistance=\dimen285 \pgfdecoratedinputsegmentcompleteddistance=\dimen286 \pgfdecoratedinputsegmentremainingdistance=\dimen287 \pgf@decorate@distancetomove=\dimen288 \pgf@decorate@repeatstate=\count331 \pgfdecorationsegmentamplitude=\dimen289 \pgfdecorationsegmentlength=\dimen290 ) \tikz@lib@dec@box=\box68 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarydecorations.pathmorphing.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/decorations/pgfli brarydecorations.pathmorphing.code.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarydecorations.pathreplacing.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/decorations/pgfli brarydecorations.pathreplacing.code.tex)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgfplots/libs/tikzlibrarypgfplo ts.contourlua.code.tex) \pgfplots@numplots=\count332 \pgfplots@xmin@reg=\dimen291 \pgfplots@xmax@reg=\dimen292 \pgfplots@ymin@reg=\dimen293 \pgfplots@ymax@reg=\dimen294 \pgfplots@zmin@reg=\dimen295 \pgfplots@zmax@reg=\dimen296 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibraryplotmarks.code.tex File: tikzlibraryplotmarks.code.tex 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmar ks.code.tex File: pgflibraryplotmarks.code.tex 2023-01-15 v3.1.10 (3.1.10) ))) (/usr/local/texlive/2025/texmf-dist/tex/latex/tikz-3dplot/tikz-3dplot.sty (/usr/local/texlive/2025/texmf-dist/tex/latex/base/ifthen.sty Package: ifthen 2024/03/16 v1.1e Standard LaTeX ifthen package (DPC) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarycalc.code.tex File: tikzlibrarycalc.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrary3d.code.tex File: tikzlibrary3d.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibraryarrows.code.tex File: tikzlibraryarrows.code.tex 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows. code.tex File: pgflibraryarrows.code.tex 2023-01-15 v3.1.10 (3.1.10) \arrowsize=\dimen297 ))) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows. meta.code.tex File: pgflibraryarrows.meta.code.tex 2023-01-15 v3.1.10 (3.1.10) \pgfarrowinset=\dimen298 \pgfarrowlength=\dimen299 \pgfarrowwidth=\dimen300 \pgfarrowlinewidth=\dimen301 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarypositioning.code.tex File: tikzlibrarypositioning.code.tex 2023-01-15 v3.1.10 (3.1.10) ) \c@problem=\count333 \c@subproblem=\count334 LaTeX Font Info: Trying to load font information for T1+lmr on input line 53 . (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/t1lmr.fd File: t1lmr.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) (/usr/local/texlive/2025/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2024-05-08 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count335 \l__pdf_internal_box=\box69 ) (./out.aux) \openout1 = `out.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 53. LaTeX Font Info: ... okay on input line 53. LaTeX Info: Redefining \microtypecontext on input line 53. Package microtype Info: Applying patch `item' on input line 53. Package microtype Info: Applying patch `toc' on input line 53. Package microtype Info: Applying patch `eqnum' on input line 53. Package microtype Info: Applying patch `footnote' on input line 53. Package microtype Info: Applying patch `verbatim' on input line 53. LaTeX Info: Redefining \microtypesetup on input line 53. Package microtype Info: Generating PDF output. Package microtype Info: Character protrusion enabled (level 2). Package microtype Info: Using default protrusion set `alltext'. Package microtype Info: Automatic font expansion enabled (level 2), (microtype) stretch: 20, shrink: 20, step: 1, non-selected. Package microtype Info: Using default expansion set `alltext-nott'. LaTeX Info: Redefining \showhyphens on input line 53. Package microtype Info: No adjustment of tracking. Package microtype Info: No adjustment of interword spacing. Package microtype Info: No adjustment of character kerning. (/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/mt-cmr.cfg File: mt-cmr.cfg 2013/05/19 v2.2 microtype config. file: Computer Modern Roman (RS) ) *geometry* driver: auto-detecting *geometry* detected driver: pdftex *geometry* verbose mode - [ preamble ] result: * driver: pdftex * paper: a4paper * layout: * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: * h-part:(L,W,R)=(62.59596pt, 472.31595pt, 62.59596pt) * v-part:(T,H,B)=(62.59596pt, 719.85492pt, 62.59596pt) * \paperwidth=597.50787pt * \paperheight=845.04684pt * \textwidth=472.31595pt * \textheight=719.85492pt * \oddsidemargin=-9.67403pt * \evensidemargin=-9.67403pt * \topmargin=-46.67403pt * \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) Package hyperref Info: Link coloring OFF on input line 53. (./out.out) (./out.out) \@outlinefile=\write4 \openout4 = `out.out'. (/usr/local/texlive/2025/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count336 \scratchdimen=\dimen302 \scratchbox=\box70 \nofMPsegments=\count337 \nofMParguments=\count338 \everyMPshowfont=\toks54 \MPscratchCnt=\count339 \MPscratchDim=\dimen303 \MPnumerator=\count340 \makeMPintoPDFobject=\count341 \everyMPtoPDFconversion=\toks55 ) (/usr/local/texlive/2025/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/local/texlive/2025/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 pgfplots notification 'compat/show suggested version=true': document ha s been generated with the most recent feature set (\pgfplotsset{compat=1.18}). LaTeX Font Info: Trying to load font information for OT1+lmr on input line 5 5. (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/ot1lmr.fd File: ot1lmr.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) LaTeX Font Info: Trying to load font information for OML+lmm on input line 5 5. (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/omllmm.fd File: omllmm.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) LaTeX Font Info: Trying to load font information for OMS+lmsy on input line 55. (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/omslmsy.fd File: omslmsy.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) LaTeX Font Info: Trying to load font information for OMX+lmex on input line 55. (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/omxlmex.fd File: omxlmex.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) LaTeX Font Info: External font `lmex10' loaded for size (Font) <12> on input line 55. LaTeX Font Info: External font `lmex10' loaded for size (Font) <8> on input line 55. LaTeX Font Info: External font `lmex10' loaded for size (Font) <6> on input line 55. LaTeX Font Info: Trying to load font information for U+msa on input line 55. (/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) (/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/mt-msa.cfg File: mt-msa.cfg 2006/02/04 v1.1 microtype config. file: AMS symbols (a) (RS) ) LaTeX Font Info: Trying to load font information for U+msb on input line 55. (/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) (/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/mt-msb.cfg File: mt-msb.cfg 2005/06/01 v1.0 microtype config. file: AMS symbols (b) (RS) ) LaTeX Font Info: External font `lmex10' loaded for size (Font) <10.95> on input line 58. Missing character: There is no = in font nullfont! [1 {/usr/local/texlive/2025/texmf-var/fonts/map/pdftex/updmap/pdftex.map}{/usr/loc al/texlive/2025/texmf-dist/fonts/enc/dvips/lm/lm-ec.enc}{/usr/local/texlive/202 5/texmf-dist/fonts/enc/dvips/lm/lm-mathit.enc}{/usr/local/texlive/2025/texmf-di st/fonts/enc/dvips/lm/lm-rm.enc}{/usr/local/texlive/2025/texmf-dist/fonts/enc/d vips/lm/lm-mathsy.enc}] LaTeX Font Info: Trying to load font information for TS1+lmr on input line 1 40. (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/ts1lmr.fd File: ts1lmr.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) [2{/usr/local/texlive/2025/texmf-dist/fonts/enc/dvips/lm/lm-ts1.enc}] LaTeX Font Warning: Command \large invalid in math mode on input line 243. LaTeX Font Info: Calculating math sizes for size <> on input line 243. LaTeX Font Info: External font `lmex10' loaded for size (Font) <> on input line 243. LaTeX Font Info: External font `lmex10' loaded for size (Font) <0.7> on input line 243. LaTeX Font Info: External font `lmex10' loaded for size (Font) <0.5> on input line 243. [3{/usr/local/texlive/2025/texmf-dist/fonts/enc/dvips/lm/lm-mathex.enc}] (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibraryshapes.geometric.code.tex File: tikzlibraryshapes.geometric.code.tex 2023-01-15 v3.1.10 (3.1.10) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibrary shapes.geometric.code.tex File: pgflibraryshapes.geometric.code.tex 2023-01-15 v3.1.10 (3.1.10) )) LaTeX Font Info: Trying to load font information for T1+lmss on input line 3 18. (/usr/local/texlive/2025/texmf-dist/tex/latex/lm/t1lmss.fd File: t1lmss.fd 2015/05/01 v1.6.1 Font defs for Latin Modern ) Package microtype Info: Loading generic protrusion settings for font family (microtype) `lmss' (encoding: T1). (microtype) For optimal results, create family-specific settings. (microtype) See the microtype manual for details. [4] Overfull \hbox (20.16843pt too wide) in paragraph at lines 365--367 []\T1/lmr/m/n/10.95 (-20) where $\OML/lmm/m/it/10.95 P\OT1/lmr/m/n/10.95 (-20) (\OML/lmm/m/it/10.95 M\OT1/lmr/m/n/10.95 (-20) ) = \OML/lmm/m/it/10.95 P\OT1/lm r/m/n/10.95 (-20) (\OML/lmm/m/it/10.95 M\OMS/lmsy/m/n/10.95 j[]\OT1/lmr/m/n/10. 95 (-20) )\OML/lmm/m/it/10.95 P\OT1/lmr/m/n/10.95 (-20) ([]) + \OML/lmm/m/it/10 .95 P\OT1/lmr/m/n/10.95 (-20) (\OML/lmm/m/it/10.95 M\OMS/lmsy/m/n/10.95 j[]\OT1 /lmr/m/n/10.95 (-20) )\OML/lmm/m/it/10.95 P\OT1/lmr/m/n/10.95 (-20) ([]) + \OML /lmm/m/it/10.95 P\OT1/lmr/m/n/10.95 (-20) (\OML/lmm/m/it/10.95 M\OMS/lmsy/m/n/1 0.95 j[]\OT1/lmr/m/n/10.95 (-20) )\OML/lmm/m/it/10.95 P\OT1/lmr/m/n/10.95 (-20) ([])$ [] [5] (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibraryintersections.code.tex (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryinterse ctions.code.tex \pgf@intersect@solutions=\count342 )) [6] (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibrarymatrix.code.tex File: tikzlibrarymatrix.code.tex 2023-01-15 v3.1.10 (3.1.10) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie s/tikzlibraryfit.code.tex File: tikzlibraryfit.code.tex 2023-01-15 v3.1.10 (3.1.10) ) LaTeX Font Info: External font `lmex10' loaded for size (Font) <10> on input line 552. LaTeX Font Info: External font `lmex10' loaded for size (Font) <7> on input line 552. LaTeX Font Info: External font `lmex10' loaded for size (Font) <5> on input line 552. [7] [8] [9] [10] [11] [12] [13] [14] LaTeX Font Warning: Command \large invalid in math mode on input line 1149. LaTeX Font Warning: Command \large invalid in math mode on input line 1155. LaTeX Font Warning: Command \large invalid in math mode on input line 1155. [15] [16] [17] [18] [19] LaTeX Font Warning: Command \large invalid in math mode on input line 1499. [20] LaTeX Font Warning: Command \large invalid in math mode on input line 1554. [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] LaTeX Font Warning: Command \tiny invalid in math mode on input line 2549. LaTeX Font Warning: Command \tiny invalid in math mode on input line 2551. LaTeX Font Warning: Command \tiny invalid in math mode on input line 2553. LaTeX Font Warning: Command \tiny invalid in math mode on input line 2565. LaTeX Font Warning: Command \tiny invalid in math mode on input line 2567. LaTeX Font Warning: Command \tiny invalid in math mode on input line 2569. [33] [34] [35] [36] [37] [38] [39] [40] (./out.aux) *********** LaTeX2e <2024-11-01> patch level 2 L3 programming layer <2025-01-18> *********** LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Info: File `out.out' has not changed. (rerunfilecheck) Checksum: D41D8CD98F00B204E9800998ECF8427E;0. ) Here is how much of TeX's memory you used: 37840 strings out of 473190 866426 string characters out of 5715800 1772924 words of memory out of 5000000 60121 multiletter control sequences out of 15000+600000 658140 words of font info for 210 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 102i,16n,107p,1000b,2175s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on out.pdf (40 pages, 520438 bytes). PDF statistics: 491 PDF objects out of 1000 (max. 8388607) 383 compressed objects within 4 object streams 167 named destinations out of 1000 (max. 500000) 55309 words of extra memory for PDF output out of 61914 (max. 10000000)