aboutsummaryrefslogtreecommitdiffstats
path: root/buch/buch.fdb_latexmk
diff options
context:
space:
mode:
authorAndreas Müller <andreas.mueller@ost.ch>2021-07-28 18:04:53 +0200
committerGitHub <noreply@github.com>2021-07-28 18:04:53 +0200
commitc106f9a72f89b9c83287770785f74ba79441b6c3 (patch)
tree50763e956858f49dfb840d16b62921d4d2c4a9c1 /buch/buch.fdb_latexmk
parentMerge pull request #53 from Lukaszogg/master (diff)
parentMerge remote-tracking branch 'upstream/master' into Baer (diff)
downloadSeminarMatrizen-c106f9a72f89b9c83287770785f74ba79441b6c3.tar.gz
SeminarMatrizen-c106f9a72f89b9c83287770785f74ba79441b6c3.zip
Merge pull request #54 from JODBaer/Baer
rewrite some texts
Diffstat (limited to '')
-rw-r--r--buch/buch.fdb_latexmk537
1 files changed, 537 insertions, 0 deletions
diff --git a/buch/buch.fdb_latexmk b/buch/buch.fdb_latexmk
new file mode 100644
index 0000000..f134656
--- /dev/null
+++ b/buch/buch.fdb_latexmk
@@ -0,0 +1,537 @@
+# Fdb version 3
+["bibtex buch"] 0 "buch.aux" "buch.bbl" "buch" 0
+ "buch-blx.bib" 1626975915 340 2f52f1f530ba6b5adc70fa4723f31a54 "pdflatex"
+ "buch.aux" 0 -1 0 "pdflatex"
+ "c:/texlive/2019/texmf-dist/bibtex/bst/biblatex/biblatex.bst" 1572020807 64965 69a9b5cd41a72f970d6b09ef293df7d7 ""
+ "chapters/references.bib" 1624097835 5138 b960dfcb0de83e9e8f8f3069c9375978 ""
+ "papers/clifford/references.bib" 1617288101 882 fc3a2de90065ad3355d6feb3e32d6590 ""
+ "papers/erdbeben/references.bib" 1626875294 2810 35c86ade2ee7ffbd8d2c17a9a69fcac8 ""
+ "papers/ifs/references.bib" 1624462097 3387 102d440dfef6b76edc1bfcef9286df16 ""
+ "papers/mceliece/references.bib" 1617288102 882 26b9bed1d376319cfdb70a05b9effc85 ""
+ "papers/multiplikation/references.bib" 1617288103 906 6f04b44fd8203281e79bd4b1d72d1cdf ""
+ "papers/punktgruppen/references.bib" 1624097835 875 c9e56ac2b002eee9bc7e364c4fbbd108 ""
+ "papers/reedsolomon/references.bib" 1626875294 1742 ccf87406646d84ea519c39fd92f457e5 ""
+ "papers/spannung/references.bib" 1624097835 1468 8a716916c129a78a71e9b15399fddd43 ""
+ "papers/verkehr/references.bib" 1617288104 878 e59fa309d2c6a84aa650cfdaef592901 ""
+ (generated)
+ "buch.blg"
+ "buch.bbl"
+["makeindex buch.idx"] 0 "buch.idx" "buch.ind" "buch" 0
+ "buch.idx" 0 -1 0 "pdflatex"
+ (generated)
+ "buch.ilg"
+ "buch.ind"
+["pdflatex"] 1626975907 "c:/JB/LaTex/SeminarMatrizen/buch/buch.tex" "c:/JB/LaTex/SeminarMatrizen/buch/buch.pdf" "buch" 1626975907
+ "buch.aux" 0 -1 0 "pdflatex"
+ "buch.bbl" 0 -1 0 "bibtex buch"
+ "buch.ind" 0 -1 0 "makeindex buch.idx"
+ "buch.tex" 1626109319 1116 8c6f673a90a3e92f548441ca71316946 ""
+ "c:/JB/LaTex/SeminarMatrizen/buch/buch.aux" 1626975907 9 a94a2480d3289e625eea47cd1b285758 ""
+ "c:/JB/LaTex/SeminarMatrizen/buch/buch.tex" 1626109319 1116 8c6f673a90a3e92f548441ca71316946 ""
+ "c:/texlive/2019/texmf-dist/fonts/map/fontname/texfonts.map" 1572022227 3332 103109f5612ad95229751940c61aada0 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm" 1572021830 3584 adb004a0c8e7c46ee66cad73671f37b4 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/cm/cmr10.tfm" 1572021195 1296 45809c5a464d5f32c8f98ba97c1bb47f ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxb.tfm" 1572037353 1020 c53143d3e3747b5c1149bd9a5ecd7b55 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxi.tfm" 1572037354 1048 a97cff5f6b833b712079817ce7a40d4c ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm" 1572037354 1056 e2202af076e43d03fc17f87e104021b0 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxptmb.tfm" 1572037354 4572 2c370d27bbb031f7592de9d41dc8cfca ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm" 1572037354 4452 0fd0a792eaab7113e4d4f1b941ff0367 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm" 1572037354 4640 ce59980bcbe9e6236fab46d0b5212c7e ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm" 1572037354 1004 c0e991f864f31f017ea4ff9e451b76d4 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/t1xb.tfm" 1572037354 6892 772bf8e6c154137db8568fa8a47a6ceb ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/t1xi.tfm" 1572037354 6956 cab20301c4a0fe2075f774c8a2433c5d ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm" 1572037354 6716 6d25a377562601272906e3bfe6b2817a ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/t1xtt.tfm" 1572037354 1384 8943063000d26272532f74ca134dfecd ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/tcxr.tfm" 1572037354 1468 26982ed5d4aefc6c98ed466c7d6869d8 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txex.tfm" 1572037354 1080 b674b4ba143004461509a754a0984b67 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm" 1572037354 688 f56006d6e56f46e63d9f63252958b828 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txi.tfm" 1572037354 2584 cf4a6a7c2a518d47468fe29ef0913ba0 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm" 1572037354 1944 f854e259cb2839e49d4aa2949544a6e1 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm" 1572037354 1180 72784d0ee5a983fba99a0986b31b0493 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txr.tfm" 1572037354 2408 aec793a3c45e495f7ad15b227c91f508 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txss.tfm" 1572037354 2812 58673a2de05c4f3a942b32b7ff5d1117 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm" 1572037354 1268 1d124f224979493f8fd017a7597ea1cd ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm" 1572037354 972 2c9ffac4bbd20f91c01aaef9bf3f8710 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm" 1572037354 988 098ca7e8cc5647b9ac21b82dbdce1f01 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm" 1572037354 1084 75e807e9e71f7a312e4e1187dce5e93b ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/txfonts/txtt.tfm" 1572037354 1200 1032be7d597a4dce33bcda3c08fc1be0 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/wasy/wasy10.tfm" 1572037674 884 cb2a5aeb15d2c2fa75963576ff22778d ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/wasy/wasy5.tfm" 1572037674 888 4cc43129a7cedbe8878dca9c1b7906f3 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/wasy/wasy6.tfm" 1572037674 892 ce84734a3ce970a47ce7803be6d89b0f ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/wasy/wasy7.tfm" 1572037674 888 5f102ebf31506247d60c56d7d473e774 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/wasy/wasy8.tfm" 1572037674 884 df491db60492d6d4b55157a114e1a6bd ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm" 1572037875 608 50246cc71b0635b0ba0a5c10a0bf4257 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm" 1572037875 608 4db60f15ea23b4ec2d796c6d568a63fa ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm" 1572037875 608 50246cc71b0635b0ba0a5c10a0bf4257 ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm" 1572037875 844 3393210079fb4ed9347e214b3bfd7c1a ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm" 1572037875 608 f124f78ed50a1817738d2adb190cf2bd ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm" 1572037875 608 f124f78ed50a1817738d2adb190cf2bd ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm" 1572037875 984 5c01c46b93e3ba8369f3f8edc6e62aef ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm" 1572037875 608 a3a3bc08980c5126ff2a7a68fb5a64ff ""
+ "c:/texlive/2019/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm" 1572037875 608 a3a3bc08980c5126ff2a7a68fb5a64ff ""
+ "c:/texlive/2019/texmf-dist/fonts/vf/public/txfonts/t1xb.vf" 1572037354 2144 bab2875eda5b2344ea7b1db74ccc03a4 ""
+ "c:/texlive/2019/texmf-dist/fonts/vf/public/txfonts/t1xi.vf" 1572037355 2120 35084608d79b6b13dd746dfcffe98243 ""
+ "c:/texlive/2019/texmf-dist/fonts/vf/public/txfonts/t1xr.vf" 1572037355 2140 99e5b3a34695df6221a167ffa8b498d6 ""
+ "c:/texlive/2019/texmf-dist/fonts/vf/public/txfonts/txmi.vf" 1572037355 960 cfcc9d587b40b769f64408b3ca115941 ""
+ "c:/texlive/2019/texmf-dist/fonts/vf/public/txfonts/txr.vf" 1572037355 904 e582cae2d8ae3f48a0a520440ebcdb51 ""
+ "c:/texlive/2019/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1572023574 71627 94eb9990bed73c364d7f53f960cc8c5b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel-english/english.ldf" 1572020659 7008 9ff5fdcc865b01beca2b0fe4a46231d4 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel-german/ngerman.ldf" 1572020666 2164 da22692bce498dcc4f70209c7185a346 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel-german/ngermanb.ldf" 1572020666 7584 40e9a51a28a966f337267407ea4ab873 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel/babel.def" 1572020641 81804 3bb5472a03aeb22f281905fcc1b735b2 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel/babel.sty" 1572020641 19267 b3fa1edb8df025e71f6c509aae11febb ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel/switch.def" 1572020647 14543 c96dc306f16879b3fe9b42eccb82621a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/babel/txtbabel.def" 1572020647 5178 5b21c28f495420030a8aa1a19d21f35f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcirc.defines.tex" 1572021160 84822 f9304f7960db1e049c1437278e051070 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircbipoles.tex" 1572021160 188580 f9942dd51e3a127b80d56eb8654ffc82 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcirccurrent.tex" 1572021160 7608 20446c4d92baf533e0b4a4b08fa75f9b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircflow.tex" 1572021160 7340 1de74e39d2bd67fa5c240598472fe065 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcirclabel.tex" 1572021160 13583 5d73da3563231afaef41d7bcadf15344 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircmonopoles.tex" 1572021160 46073 70a8df563c8f29b090534d963745cce9 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircmultipoles.tex" 1572021160 47441 9dab08d51d358598296429966427fb78 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircpath.tex" 1572021160 57742 892bfd41486d2470ff21fd5a7cc40b01 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircquadpoles.tex" 1572021160 33854 814f1ea774b5034cc992a0e8c8ebc9d3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircshapes.tex" 1572021160 26135 9e81301c79e7eb111ecf11ce0984ea40 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcirctripoles.tex" 1572021160 184990 f5266a7eef05c2bcf0a97b9d1b69c25d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircutils.tex" 1572021160 1442 8643a3387b99ca03e3598ce273d346ec ""
+ "c:/texlive/2019/texmf-dist/tex/generic/circuitikz/pgfcircvoltage.tex" 1572021160 22911 dd44590bd4f65305e95cbb8979bd012d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/ifxetex/ifxetex.sty" 1572022591 1458 43ab4710dc82f3edeabecd0d099626b2 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/oberdiek/gettitlestring.sty" 1572035815 8237 3b62ef1f7e2c23a328c814b3893bc11f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty" 1572035815 185392 ed78c0cbc4fc8c3af82e7bffbdeeb1a9 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty" 1572035815 70864 bcd5b216757bd619ae692a151d90085d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifpdf.sty" 1572035815 1300 96620a7d94bc0ceb261d968770ce8315 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifvtex.sty" 1572035815 6797 90b7f83b0ad46826bc16058b1e3d48df ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1572035985 992 fb3cda354707a54fda62787a411c7c22 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1572035985 43820 bc6cf5aa959817914ace33f5c6232161 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1572035985 19324 c9a64402f22bd8d81821141a357af653 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1572035985 6038 d639d02574be9a72f3c602c2a3510e02 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1572035985 6948 284bbe3c9a7ca0a826c1c03895e69b9f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1572035985 4883 a6f3eb1f71d8c4affaf43a169828b043 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1572035985 2544 3b1b198fd49f01e328adc9162a07b213 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1572035985 44195 134d5eb267e64d2a6b6dc75008e7c5fd ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1572035985 17311 3092579be20ef0f229c42ad3f09da85c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1572035985 21302 d6c4b340248adbe650ebf6ca76bdccca ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1572035985 9690 7585efa5a591822837f837bc5bc35621 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1572035985 33356 19ca73d4aa24857120b230a5d06f6b4c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1572035985 2965 502761b60f43ab2de5ecb2f4625163ae ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1572035985 5196 f8c5c775d4d6e2cb050392127cabda72 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1572035985 20817 1763e1bd1795e073004fa1b1d2d3a6ff ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1572035985 35249 144a6b9c4df4644618bb3a0a40472608 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1572035985 21989 266e83c51fe41eb8b8d5e6896dc71cc1 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1572035985 8842 5cc856e132fac404805c6da091779283 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/datavisualization/tikzlibrarydatavisualization.code.tex" 1572035985 93709 233f19649f8c898adef02fa24663315b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/graphs/tikzlibrarygraphs.code.tex" 1572035985 86563 b08e5287b936d25a56c508b76fc6ee77 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzexternalshared.code.tex" 1572035985 68832 d3fb188b0bd28ad6bf7cbf96d9d92059 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryangles.code.tex" 1572035985 3614 59f4355ade5fd6073a4e2be9b54c0b95 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex" 1572035985 319 8fc6edce901e074ba09de320a8fc686b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybabel.code.tex" 1572035985 380 da9c51fa5041ab6902735fb3486588a8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex" 1572035985 4572 980c82f01c0e3983edadbbc373d304cb ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybending.code.tex" 1572035985 345 6b38ae970b98b6801fe4ff50b7ef406b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarycalc.code.tex" 1572035985 16976 905e5807909a67b2d43e9d0f29353b5f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecorations.code.tex" 1572035985 5493 6342997a7484f1ea9feacd1b25ead9ea ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecorations.pathmorphing.code.tex" 1572035985 321 61aafaff3134e44ce6305fdd6927cdc5 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecorations.pathreplacing.code.tex" 1572035985 1319 b38e66120927828ef91b8bfec59e82f3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex" 1572035985 3643 4a4bd51bd85886cc39d4073af8cf77a9 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfpu.code.tex" 1572035985 283 089230eb299a474ce2824678bcd1743a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryintersections.code.tex" 1572035985 5056 925c1e52f24a98ec0bd8c6ee6a9d0cd3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymath.code.tex" 1572035985 25517 40478218403d8186f231a45c46d0954b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex" 1572035985 4202 e655aa2657da1088ec7745ece2876c4c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypatterns.code.tex" 1572035985 770 618a89f4ac550a393f10702d3046162f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryplotmarks.code.tex" 1572035985 325 dd99a5daacaad68231ba39fa31c3e277 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex" 1572035985 3937 20cd45386ca23052ce976464f0ada984 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryquotes.code.tex" 1572035985 3931 5fb0eaae891015bd03ff91a20998aec4 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.arrows.code.tex" 1572035985 410 0baf109afdeb5efd4e82375fc951e906 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.callouts.code.tex" 1572035985 1201 c97b39982196228cedd4fe1beaba358a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.code.tex" 1572035985 494 6bd09f53d3585526ad2f70d59c84f151 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.geometric.code.tex" 1572035985 339 153f95b6d1982135aac9ba139d8a4870 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.misc.code.tex" 1572035985 329 b7a8d335163f5b4dbd019ac579f101d8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex" 1572035985 919 da625675781832f2b61a7048a51ef656 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.symbols.code.tex" 1572035985 475 11d7e76bce6c5f2e43a1ca0426176e02 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarythrough.code.tex" 1572035985 1040 0a5dc9d58f9fa2ab1b79c0e76a2a8c9c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1572035985 11541 e321ec3e21e160e06435fdfa0d0d8a91 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1572035985 186348 e8665e6a32e2904287878bd61eb45f16 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.pathmorphing.code.tex" 1572035987 8843 8328b4068b5b11eaa173e0957cd0eac5 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.pathreplacing.code.tex" 1572035987 7474 acce7114514030373cc6cb938a73a92e ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex" 1572035987 31874 d843d507175f2bdfa3abf01f0349dac8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.meta.code.tex" 1572035987 58801 c503519b1e019b14dc7fb801de6de024 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibrarycurvilinear.code.tex" 1572035987 14117 7aa00d7855a2ab24d9dba045971a6e4c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryfpu.code.tex" 1572035987 83819 462261f65d4a9a752cd15bfdf76d688a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryintersections.code.tex" 1572035987 44145 6117af84f1a02fc43cb1f8055867429e ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibrarypatterns.code.tex" 1572035987 7936 1d559f55663b722daf7ce26cef4c3906 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1572035987 32995 a4d54c043ae5274ceaaddeb36ad43a6f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code.tex" 1572035987 14524 f7f259aa362ad7d5bf9235db788feef3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.arrows.code.tex" 1572035987 91587 284e5410f9da89780999100af9508505 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.callouts.code.tex" 1572035987 33336 1455fcb963023436e4ae5922b22b67c5 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.geometric.code.tex" 1572035987 160992 a39094cdc3a2bf5a131b9fd00f9002aa ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.misc.code.tex" 1572035987 46241 d4ce0f60786a8555b975b7d1ddfb331c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex" 1572035987 62281 fd68e6d2c2dc178611c8f4d2d86e79ae ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.symbols.code.tex" 1572035987 90515 5bf95af0bc1f3f00a514d280bb1b458a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1572035987 3063 8c415c68a0f3394e45cfeca0b65f6ee6 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1572035987 521 c70cf6ad609de83a27ee7929eb356332 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1572035987 13391 933cab19c6d27039dbfc487330d1005a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1572035987 104938 15f2d8bdabd6bf9ca70f62cd8e3d4940 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1572035987 10157 218d58ab074e5bd0d027de45ec64cc00 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1572035987 28177 7c47c337a1d5dbef1983ad718b752780 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1572035987 9054 388d21239a1b6df2cc8beaae31c976b0 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1572035987 3865 cddf7ddc80f018587c55afdcc79fc333 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1572035987 3177 27d85c44fbfe09ff3b2cf2879e3ea434 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1572035987 10925 df50b8a6e5660a585e3a2bf55726dcc8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1572035987 7787 1750fc3f164703caf31fc8ea9218c67e ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1572035987 3379 cbd0948a550bd7a495a160ca6beee9ed ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1572035987 92405 bba89470858d7b0788a9c09331c39653 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1572035987 36525 1a0afe71ab0664595ccf348e415006df ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1572035987 7431 af3d75e118d051d25f998b340bda2432 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmodulebending.code.tex" 1572035987 10901 373b629dee187417370a2097c6a7ff18 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduledatavisualization.code.tex" 1572035987 95375 a8c89d05c52335982aa2c447fa9ee710 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduledecorations.code.tex" 1572035987 71722 1aa2adb2b5cb7aafc25e92426626ab63 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1572035987 20905 32f5da2d6cf180962acc32cfde9fb2bc ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmodulenonlineartransformations.code.tex" 1572035987 12243 a19282a48187a1d7ddedd48a547f94f3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleoo.code.tex" 1572035987 27080 1bfeba23b1ab3083d5a8f0762ec1e3b0 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1572035987 16121 9e240115374a8d489f2f786115df83a9 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1572035987 43288 2af229b54b2b6653a0fe74a56326e98a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1572035988 465 5de5005b4b42af76f0a1bf6846c2c46e ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1572035988 926 70ff613fabeb70f5d1673dc0c93987bd ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1572035988 5546 3586827e6032c95512b2a6682d2979a3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-luatex.def" 1572035988 13214 dd7528d1b54531af922516f1e20068a2 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1572035988 12603 c02869ea216d842c29d52fae8738264e ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1572035988 60269 e86bc0081af83a4ad47e4500ee09a2e4 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1572035988 1896 82c274ff520f9e450ccea4e3ef4edc12 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1572035988 7778 a25a32a10ca820357491d4c7b3ac02ea ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1572035988 23777 cb6c8f02f87d86d621f5cb92c44f4998 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1572035988 36451 8396330cd99122375b9c7ec93aabe055 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1572035988 37439 bd44d50aef702b03193f731207931834 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1572035988 4494 7e5ace0ccf59408f2cf63219a5d36927 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1572035988 7250 03b2b9fb5fa38e7ca5cc3c45860fb210 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1572035988 27585 2311d713b44b84f56b9f0b06b703324e ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1572035988 6286 1bd76fc45da9929ab2a64f51cba3ab6f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/libs/pgflibrarypgfplots.surfshading.code.tex" 1572036010 22701 5fab7b8ebb90b053dc067d1bd37e43c2 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/libs/pgfplotslibrary.code.tex" 1572036010 3047 aa82404aec57311271f4991c44bd71dc ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsarray.code.tex" 1572036010 23537 54be8160344d894595f6d145b1311658 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsdeque.code.tex" 1572036010 4288 b8d6247899b21e3bb66bb11b24d30f2c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsliststructure.code.tex" 1572036010 13828 11d1b09335a4a8baa693dd1e6cac3edf ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsliststructureext.code.tex" 1572036010 24373 6544c1554e5da33118301011eb03058d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsmatrix.code.tex" 1572036010 18861 7dc35832c8ccea3aa73cdcd75ec0a60b ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/numtable/pgfplotstable.code.tex" 1572036010 121113 9df0278e98c01331aae8902c7b0291b6 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/numtable/pgfplotstable.coltype.code.tex" 1572036010 2713 fd4cc0a81e533baadca64f656777ffd6 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/numtable/pgfplotstableshared.code.tex" 1572036010 79639 86777dd9ea988e5800e7d2826d481305 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_loader.code.tex" 1572036010 11930 011a1d7d82c7446501c720a1fa4637a3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.code.tex" 1572036010 481695 ebf89fad86a29ee0f5494f7b8902726d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.errorbars.code.tex" 1572036010 22428 72578a4c9324bc5dfafe23fe64f64024 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.markers.code.tex" 1572036010 12462 43d76eeeb8efa51f11a058cb813ba410 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.paths.code.tex" 1572036010 2419 026baafbf72a109e199ede6fbbfd9caa ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.revision.tex" 1572036010 516 984b5334f6dc5efb409e12ecc5d0fd99 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.scaling.code.tex" 1572036010 123680 d33fda4929d7200c3e6f0ec83c006aef ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotscoordprocessing.code.tex" 1572036010 364778 01f6e73e3b25a88c502f2fe8fbaf8fa6 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotscore.code.tex" 1572036010 19944 7957349fbe31c4e8dea9de4cd41cb086 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplothandler.code.tex" 1572036010 133871 7247b31742a2240343a6739cb76d6821 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplotimage.code.tex" 1572036010 24402 288fc3f6c7980728b8a519dfd1737d22 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsplothandlers.code.tex" 1572036010 117673 ba2a69982abb70115c5431acf313d1e6 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsstackedplots.code.tex" 1572036010 26190 c428334c805ae1d15110eb8670292947 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsticks.code.tex" 1572036010 91093 a67c3943f1672f56f56272bb501f7093 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgflibrarypgfplots.surfshading.pgfsys-pdftex.def" 1572036011 5907 9dc460712c23e5b3338820499d47608c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgfplotssysgeneric.code.tex" 1572036011 3095 c82d281b748902a65be2ccca97360b11 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.code.tex" 1572036011 23050 a369aa910ef860a3621fe0459faa335c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.data.code.tex" 1572036011 26859 7a4ee9d206fb0a0daa0d3108445afb57 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotscolor.code.tex" 1572036011 23958 1b96260863091af1669c3a38b1c4c9af ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotscolormap.code.tex" 1572036011 88956 018b2512ef27998e97af72e8b1dcdbd5 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.code.tex" 1572036011 69300 d69422610b847918ed9c5f4455896b9f ""
+ "c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.verb.code.tex" 1572036011 3286 c17079ba50483e1ac1721268ea016041 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/tikz-cd/tikzlibrarycd.code.tex" 1572037151 23113 777d022ec96400121479223b4e174a8d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/unicode-data/UnicodeData.txt" 1572037490 1797778 755f6af699f8c8d2d958da411f78f6c6 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xkeyval/xkeyval.tex" 1572037818 19231 26434a5656c684f5ffb1f26f98006baa ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xkeyval/xkvutils.tex" 1572037818 7677 6f5ce7c1124cad7ec57d05b2562bd8fe ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xstring/xstring.sty" 1572037860 123 a302f2c651a95033260db60e51527ae8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xstring/xstring.tex" 1572037860 47762 87512aefe2c24c8c3ff58ba167aba4d9 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xy.sty" 1572037875 4692 1e1bcf75c622af1eefd9169948208302 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xy.tex" 1572037875 115380 413d5f789929a45aab7d12ce0d0aee7d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyall.tex" 1572037875 1449 24340b6befc66d28ee1ebb657efb5892 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyarrow.tex" 1572037875 22657 990ce136a3cc15728ba417a2e78b25c8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xycmtip.tex" 1572037875 1374 43fb8dc80dd748631d78096701166d76 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xycolor.tex" 1572037875 4586 edd672434f45626662368282c0322160 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xycurve.tex" 1572037875 109670 d412ee1ff259daefee5e927172e2f9a8 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyframe.tex" 1572037875 24249 186931a828664624939ab0b347e3952c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xygraph.tex" 1572037875 9619 b7e4d9a6936ba2ad6119a280abde9641 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyidioms.tex" 1572037875 2907 1ee562fde0b53c9cd16f7a604f33fdf0 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyline.tex" 1572037875 10928 c3a572983ccc9fc596b4e9ce454d5652 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xymatrix.tex" 1572037875 22583 25b1e7edeee41f181ee9733429da4a9c ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xypdf-co.tex" 1572037875 8442 90cb8a3b00c2081384c1ce988d2ba0a3 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xypdf-cu.tex" 1572037875 39762 25a964ebb390bcfcd35c040f477eef1d ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xypdf-fr.tex" 1572037875 16485 5686b19cc46d046c885428794ed9c114 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xypdf-li.tex" 1572037875 2619 1a12b316e2132654e44ba2cd21def637 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xypdf-ro.tex" 1572037875 5290 e16fc85c85f64d0a5c04708bf3312d00 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xypdf.tex" 1572037875 18763 e61049d36bdfccb226f22e582d70d368 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyrecat.tex" 1572037876 1391 c8763fc8e281cb6ecf697988b6608e4a ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xyrotate.tex" 1572037876 7008 cb768d8d63a12d35607cbb3c4e7ba163 ""
+ "c:/texlive/2019/texmf-dist/tex/generic/xypic/xytips.tex" 1572037876 3689 0d51788a4141bc66ab896f7ac63495fd ""
+ "c:/texlive/2019/texmf-dist/tex/latex/adjustbox/adjcalc.sty" 1572020417 5608 e823b3adfbc2ea70e453a21ea6e2ee12 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/adjustbox/adjustbox.sty" 1572020417 55974 e90ddd9a6114a7008a6915da904f2847 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/adjustbox/tc-pdftex.def" 1572020417 4061 aa67e478bd1a58a42e026c354f10b158 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/adjustbox/trimclip.sty" 1572020417 7142 42aaa49a4afcdc52e9d95e3b19f439be ""
+ "c:/texlive/2019/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty" 1572020477 26750 ce139c05a983e19ddca355b43e29c395 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty" 1572020477 3457 d9077efe6b74c5a094199256af8d7d9a ""
+ "c:/texlive/2019/texmf-dist/tex/latex/algorithms/algorithm.sty" 1572020477 3249 15763257e50278eef5db1952ccde229c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amscls/amsthm.sty" 1572020496 12604 3dec726c041422879dc3268237f09026 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1572020503 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1572020503 13829 94730e64147574077f8ecfea9bb69af4 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1572020507 2211 ca7ce284ab93c8eecdc6029dc5ccbd73 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsmath/amscd.sty" 1572020507 5309 0c9ef5db85b924cdbb316f080dfd826e ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsgen.sty" 1572020507 4161 7f6eb9092061a11f87d08ed13515b48d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsmath.sty" 1572020507 85514 eb45164c0234a1f8e9b74aa2f583bc21 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsopn.sty" 1572020507 4116 32e6abd27229755a83a8b7f18e583890 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/amsmath/amstext.sty" 1572020507 2432 8ff93b1137020e8f21930562a874ae66 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/appendix/appendix.sty" 1572020533 8526 d0d9b5e2dd0c996c69c3bd05eb25b943 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/bk10.clo" 1572022871 8245 8a337a6bb3da7b88a37a4c3136e6834d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/book.cls" 1572022871 23055 a0c51513e424517b35c8e02a06953cfc ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/fontenc.sty" 1572022871 4571 68999fcec19eaab44a6e13159b4dca8a ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/ifthen.sty" 1572022871 5159 069c1682fef6225a1e2967ca0fe174f6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/inputenc.sty" 1572022871 5050 aae684508bdbe288a555910330f17c1b ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/makeidx.sty" 1572022872 1940 56d7e65bf2f613c7fbe5d4befdc5fdf6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/t1enc.def" 1572022872 10687 a7567925dae1870ed1d4a2e413995d60 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/textcomp.sty" 1572022872 16154 aa2e2ccb4112a609f28cbe297c11ef1d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/ts1cmr.fd" 1572022872 2431 cc3b740992f1bf33ee159b31f0710d60 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/ts1enc.def" 1572022872 7767 e781dcaece5057ee9243d19755558b5a ""
+ "c:/texlive/2019/texmf-dist/tex/latex/base/ts1enc.dfu" 1572022872 5059 63136e20674995b16bae7eab2e006347 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/bbx/numeric.bbx" 1572020808 1687 3a9153990dd5fa0af9f2af7749897393 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/bbx/standard.bbx" 1572020808 25703 d3ef9d5e51205b85b7c5803f5bc4945e ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/biblatex.cfg" 1572020808 69 249fa6df04d948e51b6d5c67bea30c42 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/biblatex.def" 1572020808 89841 f62b06d56749b219e24521443b5d62fa ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/biblatex.sty" 1572020808 486351 35bd8b4d043ca2e145d6acbaf9bbccc3 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/blx-bibtex.def" 1572020808 15868 e9bdfbf22934cf3cf970201ecfee5b82 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/blx-compat.def" 1572020808 13136 44dd5518476508a5daf59afd6ef412e0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/blx-dm.def" 1572020808 31423 d09ac6e211af72fef55df039a2b3c3d6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/cbx/numeric.cbx" 1572020808 4578 2d37f6a8c72f47aacef79870545a713d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/lbx/english.lbx" 1572020808 38102 0107e531be1e2d63345edc3b268e7658 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/lbx/german.lbx" 1572020808 31969 85ee28750f096a5af49dc49511d7abd9 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/biblatex/lbx/ngerman.lbx" 1572020808 520 79db3ad588d8a32d9a5aa90a48bd8364 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/cancel/cancel.sty" 1572021005 7592 dd751af313a16a0308545d5bfd7aaaa2 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/caption/caption.sty" 1572021019 68688 0117141b30e5c5fec86154f541dec0d0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/caption/caption3.sty" 1572021019 68575 41af57b9d23e31041c5fb63021aa6d56 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/circuitikz/circuitikz.sty" 1572021160 10465 78f9265b3932855b06abf20fe97dd2eb ""
+ "c:/texlive/2019/texmf-dist/tex/latex/collectbox/collectbox.sty" 1572021283 9116 495d44b5a3e7be0c46c5d1f053f457f0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/csquotes/csquotes.cfg" 1572021502 7068 06f8d141725d114847527a66439066b6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/csquotes/csquotes.def" 1572021502 19820 93221daf51aa801243ec22c065084f9c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/csquotes/csquotes.sty" 1572021502 61418 900e3c73f3da1f59a4c66f0bbd6341e3 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/currfile/currfile.sty" 1572021526 10656 96a2572aabaf4a47b8885127d7edcae1 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/doublestroke/dsfont.sty" 1572021671 230 7bc61880b468bfd38aedc173be7c3486 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/eepic/epic.sty" 1572021869 25873 0e813d2f6e266780f0cedef5eb5e2525 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/environ/environ.sty" 1572021976 4378 f429f0da968c278653359293040a8f52 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/etex-pkg/etex.sty" 1572022025 19013 c49da619eb7bd8093706fabc7ba9ceae ""
+ "c:/texlive/2019/texmf-dist/tex/latex/etoolbox/etoolbox.sty" 1572022032 45259 743c52a37a6e5ed83cfe0e128b2da10d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty" 1572022075 11128 a53805799bebfed6358fc1658a18e41f ""
+ "c:/texlive/2019/texmf-dist/tex/latex/filecontents/filecontents.sty" 1572022144 3408 71173360dc73c4a3f80bb0bc7b926ba0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/filehook/filehook.sty" 1572022147 13431 ea0e11ceec9d42295f42c12486dac890 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/filemod/filemod-expmin.sty" 1572022149 2845 2b7393c472a738889b77cb266b9ef35d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/float/float.sty" 1572022198 6749 16d2656a1984957e674b149555f1ea1d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/geometry/geometry.sty" 1572022319 41645 0653033a985e06c69a2a9cea9a95e31a ""
+ "c:/texlive/2019/texmf-dist/tex/latex/gincltex/gincltex.sty" 1572022351 3594 7c105130ddd1211e8275b3c1288d84c8 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1572022412 1213 620bba36b25224fa9b7e1ccb4ecb76fd ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1572022412 1224 978390e9c2234eab29404bc21b268d1e ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics-def/pdftex.def" 1572022413 17334 520b9b85ad8a2a48eda3f643e27a5179 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics/graphics.sty" 1572022410 16458 1bb0e1418e20f598314cbad8ab796f2f ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics/graphicx.sty" 1572022410 9057 e434b0c2dbde71054f2dde205cf3bde4 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics/keyval.sty" 1572022410 2590 3aa06f747eb7e19c8d68947f1828fd06 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/graphics/trig.sty" 1572022410 3976 f6c84526d8a14dceb492f9a764e82175 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/hyperref/hpdftex.def" 1572022529 50230 309aa2909ff6290dbda5045c1337012c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/hyperref/hyperref.sty" 1572022529 237978 e4178d76d356458ee5b5bd9824c0b5ad ""
+ "c:/texlive/2019/texmf-dist/tex/latex/hyperref/nameref.sty" 1572022529 13244 a88fa0a3a6ad5b15d16d610d96a714c3 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/hyperref/pd1enc.def" 1572022529 14125 9a4c1cce42012c8e8ca01d29ccf79db0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/ifoddpage/ifoddpage.sty" 1572022586 2148 0426cd8bb94163c1e23726d0c15e2c21 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def" 1572022844 25404 0825d673bb6474ecfa27715c709e4f08 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/l3kernel/expl3-code.tex" 1572022849 1018114 e3dfe1c1b943733676e2f9a37498ae07 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/l3kernel/expl3.sty" 1572022849 4381 0d422a3245e7ef6ef6d2a5419023d536 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/l3kernel/l3deprecation.def" 1572022849 9892 1ec016acc4d32bf498c20738383470b5 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/l3packages/l3keys2e/l3keys2e.sty" 1572022854 4520 1161269abe88ec94dddd509a3b3582fd ""
+ "c:/texlive/2019/texmf-dist/tex/latex/l3packages/xparse/xparse.sty" 1572022854 81717 03294ce0fabc3e7b7749bf6850c22be8 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1572022953 678 4792914a8f45be57bb98413425e4c7af ""
+ "c:/texlive/2019/texmf-dist/tex/latex/latexconfig/hyperref.cfg" 1572022953 235 6031e5765137be07eed51a510b2b8fb7 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/listings/listings.cfg" 1572023106 1830 bbaba8afaf42cc048ec4d4ff73467521 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/listings/listings.sty" 1572023106 80511 830f3f1d3ab7448dd84233e9c2f6462c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/listings/lstmisc.sty" 1572023106 77022 32914f01b528131c47be2a1040d3856d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/logreq/logreq.def" 1572023149 1620 fb1c32b818f2058eca187e5c41dfae77 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/logreq/logreq.sty" 1572023149 6187 b27afc771af565d3a9ff1ca7d16d0d46 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/mathtools/mathtools.sty" 1572023363 55028 f5cc7f943da0d539d33e527fd34088c8 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/mathtools/mhsetup.sty" 1572023363 5317 cf75154a8a7e6436f05a5be497f0b05e ""
+ "c:/texlive/2019/texmf-dist/tex/latex/ms/everyshi.sty" 1572023576 3878 6aa7c08ff2621006e0603349e40a30a8 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/multirow/multirow.sty" 1572023602 5486 a1d954b09782ba0acd8a8abfd98e1028 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/oberdiek/atveryend.sty" 1572035815 19205 dcac4af7cbae59b1f2163f96c36a1de6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/oberdiek/auxhook.sty" 1572035815 3834 4363110eb0ef1eb2b71c8fcbcdb6c357 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty" 1572035815 12095 5337833c991d80788a43d3ce26bd1c46 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/oberdiek/grfext.sty" 1572035815 7075 2fe3d848bba95f139de11ded085e74aa ""
+ "c:/texlive/2019/texmf-dist/tex/latex/oberdiek/kvoptions.sty" 1572035815 22417 1d9df1eb66848aa31b18a593099cf45c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty" 1572035816 9581 023642318cef9f4677efe364de1e2a27 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/paralist/paralist.sty" 1572035907 14857 82c76ebe8f06becf69ab309565b2a0cb ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1572035988 1090 d20f587ea9464d1841bd0d13d3ff9856 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1572035988 410 5bf12ea7330e5f12c445332a4fe9a263 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1572035988 21013 e98e1aaaf40d31632787c2bd25d24b57 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1572035988 989 2cf3da8e8ec55131c49389428d565e37 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/frontendlayer/libraries/tikzlibraryexternal.code.tex" 1572035988 4032 5195761335c7fffcd19348b024d9d881 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1572035988 339 592cf35cba3d400082b8a9a5d0199d70 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1572035988 306 0796eafca5e159e6ec2167a6d22d81b1 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1572035988 443 0b2e781830192df35c0fd357cf13e26e ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1572035988 348 8927fde343487e003b01a4c2ca34073b ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1572035988 274 4cad6e665cc93ac2ac979039a94fa1e1 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1572035988 325 2bcd023400636339210573e2b3ee298b ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgfplots/pgfplots.sty" 1572036011 4904 ee78b44e85d6fccf08cd99370557481e ""
+ "c:/texlive/2019/texmf-dist/tex/latex/pgfplots/pgfplotstable.sty" 1572036011 1440 4c1495abf57fc4dd215ebbf2a95b1cf8 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/placeins/placeins.sty" 1572036059 4087 636308456f60d2b31cbf97867db5708d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/psnfss/times.sty" 1572036179 857 6c716f26c5eadfb81029fcd6ce2d45e6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/siunitx/siunitx-abbreviations.cfg" 1572036709 4745 5e578e91b3a2e2e7f888f49fe4d3df59 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/siunitx/siunitx.sty" 1572036709 277239 5fe87c621fe5497b7e396a7f0945e099 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/standalone/standalone.sty" 1572036799 34858 3be45da0358383f6555e8118e77e3503 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/subfigure/subfigure.cfg" 1572036857 2062 a0e7d66e09e508f51289a656aec06ed2 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/subfigure/subfigure.sty" 1572036857 15188 91281c7ddbccfa54a8e0c3b56ab5aa72 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/svn-prov/svn-prov.sty" 1572036879 6852 44ea8d7e58290cde708a34ebf3953571 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbbreakable.code.tex" 1572036936 33368 cf5f26c55f852c142397a04d5c9e470d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbfitting.code.tex" 1572036936 14602 8f73a0800c020938707490a8ff5df4d7 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbhooks.code.tex" 1572036936 8118 d4655df69bb24afb189d64d5bc575323 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbraster.code.tex" 1572036936 8920 15abf43e83bfc135f9bb2dd5c4a05f10 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbskins.code.tex" 1572036936 84989 d55beee9ec85a3d2ed47ec5132151162 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbskinsjigsaw.code.tex" 1572036936 9020 b40daceb0dcd600a86088bcf8f43e923 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbtheorems.code.tex" 1572036936 8512 ef44b802a30469a787fb98a74a98d3b5 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcbxparse.code.tex" 1572036936 9618 8f4fa7f9c519c6559d0070a02f8a26b3 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tcolorbox/tcolorbox.sty" 1572036936 84932 34a574abc5eb4d79443911aa40d43d61 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tikz-cd/tikz-cd.sty" 1572037151 858 fe1b4d077c61915fa7d05919d4f7282f ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tools/array.sty" 1572037272 12560 4a5687b6718c08af61b1ad834ba27b87 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tools/bm.sty" 1572037272 12671 adbf10c406b6bea2e2563bf450a7ef2c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tools/calc.sty" 1572037272 10216 54c740cb9d999378b16df7e5c92c17a0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tools/shellesc.sty" 1572037273 3347 7063a0c865ee389271de2b0ea22b3afe ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tools/tabularx.sty" 1572037273 7149 0761e0046ae54b8c3b512ab8e07fef1c ""
+ "c:/texlive/2019/texmf-dist/tex/latex/tools/verbatim.sty" 1572037273 7266 b86aedea6878967562d57e7fa72d2976 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict" 1572037312 3435 0a4d096dde3f8fe682c2aedd33b8137d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/translator/translator.sty" 1572037312 8691 e154b4b39c7cd1cfa9301a391c44afdd ""
+ "c:/texlive/2019/texmf-dist/tex/latex/trimspaces/trimspaces.sty" 1572037317 1380 971a51b00a14503ddf754cab24c3f209 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/omltxmi.fd" 1572037355 492 e7f8afe4428797548d4301de03a1b15f ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/omstxsy.fd" 1572037355 329 6ac7e19535b9f1d64e4d8e3f77dc30a3 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/omxtxex.fd" 1572037355 312 11fe1916b0a13a81a05234a6fc7f8738 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/ot1txr.fd" 1572037355 1271 4e3afbd8e832f2f9c7f064894e6e68e4 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/ot1txss.fd" 1572037355 1375 b9d8628471eb35e3cf16d9665f977016 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/ot1txtt.fd" 1572037355 1318 4f519eea77a36de881f47283e1201390 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/t1txr.fd" 1572037355 1242 cbf8a0d4f750f9833a0bfb05fb39f1cb ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/t1txtt.fd" 1572037355 1324 7b6c95370a64cd8c7620cbefefb53dba ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/ts1txr.fd" 1572037355 1278 7b91d84c3d8b7d0dd9e34d557ca00ff0 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/txfonts.sty" 1572037355 50381 d367461010070c7a491b1f6979ab2062 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxexa.fd" 1572037355 310 1b00b0b05685b816e4c6caccce437e0d ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxmia.fd" 1572037355 334 87436a82076ca2e35cd305f852507afc ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsya.fd" 1572037355 310 cee07e4964749ccbc77d84fc49726a79 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsyb.fd" 1572037355 310 8c5467c8932c259af51b0f116c9734bd ""
+ "c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsyc.fd" 1572037355 310 4b5d6fe830337242ef847b3bff48ba21 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/url/url.sty" 1572037547 12796 8edb7d69a20b857904dd0ea757c14ec9 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/varwidth/varwidth.sty" 1572037576 10894 d359a13923460b2a73d4312d613554c8 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/was/gensymb.sty" 1572037672 4612 29d19942d7123701aa6a3876b9ba11b1 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/wasysym/uwasy.fd" 1572037676 2127 de456b4fb7b20e6651c727c9fdc94803 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/wasysym/wasysym.sty" 1572037676 10611 eca9e56dd071530be0c56f0b968bbdb6 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/xcolor/xcolor.sty" 1572037739 55589 34128738f682d033422ca125f82e5d62 ""
+ "c:/texlive/2019/texmf-dist/tex/latex/xkeyval/xkeyval.sty" 1572037818 4962 9c1069474ff71dbc47d5006555e352d3 ""
+ "c:/texlive/2019/texmf-dist/web2c/texmf.cnf" 1572022811 39452 758acee3f2beaeeedff570c5f5d76d98 ""
+ "c:/texlive/2019/texmf-var/fonts/map/pdftex/updmap/pdftex.map" 1572038008 4743761 46ebadd265dfe07977acec471a78b166 ""
+ "c:/texlive/2019/texmf-var/web2c/pdftex/pdflatex.fmt" 1572038228 4289527 1002f58e38ec16c649e0243e3ceb98aa ""
+ "c:/texlive/2019/texmf.cnf" 1572037975 673 4ae7b2f49cee444c5343a45b5d0f169c ""
+ "chapters/00-einleitung/chapter.tex" 1617288090 8444 f770a9f593a113ceed222ac43ec5cf4e ""
+ "chapters/05-zahlen/chapter.tex" 1617288090 1284 11415bc971a305038c01d3020037ff1f ""
+ "chapters/05-zahlen/ganz.tex" 1617288090 4365 3979cd642db7db23efa16dfbff0b6034 ""
+ "chapters/05-zahlen/images/komplex.pdf" 1617288090 18852 2b3701b4352852f11018e98f5f98f75a ""
+ "chapters/05-zahlen/komplex.tex" 1617288090 12608 bbf4fd4ff4234cae28539478b26516c2 ""
+ "chapters/05-zahlen/natuerlich.tex" 1617288090 8961 27e3ab1c5fd2932062361a1225af3b21 ""
+ "chapters/05-zahlen/rational.tex" 1617288090 5177 2f78313f8c61f5d4b8ad9ee4d58e2ed4 ""
+ "chapters/05-zahlen/reell.tex" 1617288090 3165 57276583fc9f0a3775513fa8fcc2266a ""
+ "chapters/10-vektorenmatrizen/algebren.tex" 1617288090 3710 58918311c4270b6477237c958d9d0368 ""
+ "chapters/10-vektorenmatrizen/chapter.tex" 1617288090 665 1683f15861d6831e5ab082160d7f63eb ""
+ "chapters/10-vektorenmatrizen/gruppen.tex" 1624097835 10392 9e6a090448329022491cb8888fc57483 ""
+ "chapters/10-vektorenmatrizen/hadamard.tex" 1617288090 7982 03b4bce1f1a4f6ab69471248e8e77d85 ""
+ "chapters/10-vektorenmatrizen/images/gausszahlen.pdf" 1617288091 19127 42de8a9bfe1f0ac6ae654591cf06a884 ""
+ "chapters/10-vektorenmatrizen/images/ideale.pdf" 1617288091 73185 12e5dff7a1f2bb8451c5848f612fba46 ""
+ "chapters/10-vektorenmatrizen/images/rref.pdf" 1617288091 15112 1438dc421f36390ab54f539f7d16e0f7 ""
+ "chapters/10-vektorenmatrizen/images/strukturen.pdf" 1617288091 45339 4d122d63733ceb13cd2899d58f5aac54 ""
+ "chapters/10-vektorenmatrizen/koerper.tex" 1617288091 459 28a334abca5e215fda3beaeded98d381 ""
+ "chapters/10-vektorenmatrizen/linear.tex" 1624966622 41347 3184e116caa4b57b6fe251d6297052be ""
+ "chapters/10-vektorenmatrizen/ringe.tex" 1617288091 11200 d47bdbddfbe531964be600f0c16a1eb1 ""
+ "chapters/10-vektorenmatrizen/skalarprodukt.tex" 1617288091 22915 7eb5459ce86dbf02f7cca5512cfb146d ""
+ "chapters/10-vektorenmatrizen/strukturen.tex" 1617288091 1459 1c97a44c84ac56d8bfdc6a3faabf7c58 ""
+ "chapters/10-vektorenmatrizen/uebungsaufgaben//1001.tex" 1617288091 3378 3204d8b5d1d01f9a95e2b4779e6671ea ""
+ "chapters/10-vektorenmatrizen/uebungsaufgaben//1002.tex" 1617288091 1822 c4b7c4c73a27ebd75737b4e01b92ab55 ""
+ "chapters/20-polynome/chapter.tex" 1617288091 4805 d11f446202abde195985668de79be333 ""
+ "chapters/20-polynome/definitionen.tex" 1617288091 20105 f4f65922ce864cbdfcffe3aead5ec9dd ""
+ "chapters/20-polynome/matrizen.tex" 1617288092 239 4572c1ccf7a7dfc805c70535c37c7eeb ""
+ "chapters/20-polynome/minimalpolynom.tex" 1617288092 188 55c767e6bd65c5814c8223e42046683d ""
+ "chapters/20-polynome/vektoren.tex" 1617288092 3714 b8df5257256295a72743b27a52c08fc3 ""
+ "chapters/30-endlichekoerper/chapter.tex" 1617288092 1962 517078637eb632bbae37a73a45089ae1 ""
+ "chapters/30-endlichekoerper/euklid.tex" 1621604297 29296 f99dd0b5a9d8ca38a5e13fedfdfab7dd ""
+ "chapters/30-endlichekoerper/galois.tex" 1624966622 20609 54ce2428fe83515f4cacae87bc5fa6d1 ""
+ "chapters/30-endlichekoerper/images/binomial2.pdf" 1619271503 19417 50b461013a7ac6ccd7297ac97e1aaee5 ""
+ "chapters/30-endlichekoerper/images/binomial5.pdf" 1619271503 27894 0f0dd956bbc53f0f8e4063c6bef99708 ""
+ "chapters/30-endlichekoerper/images/farben.tex" 1617288092 134 940b24ec68979815005073dcc4cff37d ""
+ "chapters/30-endlichekoerper/uebungsaufgaben//3001.tex" 1617288092 1688 db47284348820f55a262edfdef23fd5e ""
+ "chapters/30-endlichekoerper/uebungsaufgaben//3002.tex" 1617288093 337 9152e8c2293eb8bcc87c4481949e8d00 ""
+ "chapters/30-endlichekoerper/uebungsaufgaben//3003.tex" 1617288093 2175 64a3ca2464ec5cac8cab891e26f1fc21 ""
+ "chapters/30-endlichekoerper/uebungsaufgaben//3004.tex" 1617288093 5745 be722ac378b368c5acda3a8398eaf5c8 ""
+ "chapters/30-endlichekoerper/uebungsaufgaben//3005.tex" 1617288093 4954 90bdfe38b57ed2d2ac1ef9dfc5774eb9 ""
+ "chapters/30-endlichekoerper/wurzeln.tex" 1621604298 27602 933ec64e167a05d6b7f361175ce6ce3b ""
+ "chapters/40-eigenwerte/chapter.tex" 1624097835 2059 e0c70d85713b24ea512dc2e4fa742c87 ""
+ "chapters/40-eigenwerte/grundlagen.tex" 1617288093 36785 f0e06f0d4bb8ce75ea744a58fe441988 ""
+ "chapters/40-eigenwerte/images/dimjk.pdf" 1617288093 23762 eb4bfc6190ead79640e141342a3cd665 ""
+ "chapters/40-eigenwerte/images/jknilp.pdf" 1617288094 23241 7c0d0ce4e46dff22b512a9a11962b6bd ""
+ "chapters/40-eigenwerte/images/kernbild.pdf" 1617288094 189482 4b4467fe28b22848393cc70af74cdcac ""
+ "chapters/40-eigenwerte/images/kombiniert.pdf" 1617288094 131131 a494a73ee5bfaec29aebd1a56f2f9676 ""
+ "chapters/40-eigenwerte/images/minmax.pdf" 1619271503 53375 7b0eeeca80557c6392d6a700f609ab7f ""
+ "chapters/40-eigenwerte/images/nilpotent.pdf" 1617288094 14254 2ce05c168ddbce1ca8af970424569573 ""
+ "chapters/40-eigenwerte/images/normalform.pdf" 1617288094 18132 5c8be1369fb99763eadf56ceb839ca37 ""
+ "chapters/40-eigenwerte/images/wurzel.pdf" 1617288095 19221 7c72a78f2e56cdaa3b8be9aa6fdad5e5 ""
+ "chapters/40-eigenwerte/images/wurzelapprox.pdf" 1619271503 33171 b3375e0345d3a4e759d3d22e65913bf2 ""
+ "chapters/40-eigenwerte/normalformen.tex" 1624097835 18288 b12beab0e2712913d2de2ab2f54ee3b6 ""
+ "chapters/40-eigenwerte/spektralradius.tex" 1617288095 22120 852e9ab37b28c4ec4afa96c2b295fbc0 ""
+ "chapters/40-eigenwerte/spektraltheorie.tex" 1624097835 30458 bd56a08a724b8ebceddb2126d1f81a89 ""
+ "chapters/40-eigenwerte/uebungsaufgaben//4001.tex" 1617288095 1379 2b546179f3b3252ae89437d8f8616c2e ""
+ "chapters/40-eigenwerte/uebungsaufgaben//4002.tex" 1617288095 598 f53350a2fb362a77c4d4559f50294f55 ""
+ "chapters/40-eigenwerte/uebungsaufgaben//4003.tex" 1617288095 4735 6c2f272c3fcda6a7d7ce6c33bc8c3cff ""
+ "chapters/40-eigenwerte/uebungsaufgaben//4004.tex" 1617288095 1532 067b701faa189dc417f47db3e28d7a41 ""
+ "chapters/40-eigenwerte/uebungsaufgaben//4005.tex" 1617288095 2937 d18a4bc3c86b2d127b64a798fd4466c2 ""
+ "chapters/40-eigenwerte/uebungsaufgaben//4006.tex" 1624097835 1760 b5c809228d5e2f61e011eaed9564b9fa ""
+ "chapters/50-permutationen/chapter.tex" 1617288095 1055 30380f54c19daad6678c528b030e76d4 ""
+ "chapters/50-permutationen/determinante.tex" 1617288095 246 eb0e2414b38e572e53db3de363ca0a49 ""
+ "chapters/50-permutationen/endlich.tex" 1617288095 6368 bf9d3d7d10f9c9bd97e3aff4d3473b1e ""
+ "chapters/50-permutationen/images/komposition.pdf" 1617288096 13951 17e45a3e2ab30caf216931c7bab5df30 ""
+ "chapters/50-permutationen/images/permutation.pdf" 1617288096 13814 d9656afa12d603cc538319e3995ba420 ""
+ "chapters/50-permutationen/images/transpositionen.pdf" 1617288096 22548 b2aabfcb9eb7f09731572cc5aa42aef5 ""
+ "chapters/50-permutationen/images/zyklenzerlegung.pdf" 1617288096 14937 0b400a0cc00141e669d66d4760bf5c70 ""
+ "chapters/50-permutationen/matrizen.tex" 1617288096 4589 a3ecf1515579db509a7e2b882bd0af24 ""
+ "chapters/50-permutationen/transpositionen.tex" 1624097835 4633 6511d3b6e27ab127cb88b8107f8806bd ""
+ "chapters/50-permutationen/uebungsaufgaben//5001.tex" 1617288096 3139 0c5f655115cfa87eedfc124bdd27b2c7 ""
+ "chapters/60-gruppen/chapter.tex" 1624097835 1914 dbf23e732520fcf75fb090af6bf143da ""
+ "chapters/60-gruppen/images/castle.jpeg" 1617288096 148054 e47e2dc81c480dbb2d01ee4d0722cc14 ""
+ "chapters/60-gruppen/images/karten.pdf" 1619271503 487946 3dad8ebf83e5428683ed5d3fe67d7b46 ""
+ "chapters/60-gruppen/images/kartenkreis.pdf" 1619271503 26755 f1fea1330f3552a5410c82b659e977c1 ""
+ "chapters/60-gruppen/images/phasenraum.pdf" 1619271503 72789 3c2ea5d0b86314ed140b739cb6ecd889 ""
+ "chapters/60-gruppen/images/scherungen.pdf" 1619271503 24544 39f73790b326fa6d9ea97103cafadfba ""
+ "chapters/60-gruppen/images/sl2.pdf" 1619271503 27116 723e7416b02d748e4f8f59d7cf2c6db9 ""
+ "chapters/60-gruppen/lie-gruppen.tex" 1624097835 25431 eeeb669f1621f427799a54aca130ef02 ""
+ "chapters/60-gruppen/symmetrien.tex" 1624097835 26460 1c62a55815845c195ea3796dd1b76461 ""
+ "chapters/part1.tex" 1617288100 874 5dd0465d3dd8b46afc3a4b9e2ec46579 ""
+ "chapters/vorwort.tex" 1617288100 1207 63950796d341049918f1e505b5603ffe ""
+ "common/lststyles.tex" 1626109319 4112 9e411049231302314eecdb24ab27b07a ""
+ "common/macros.tex" 1617288101 2950 006cdaa0b42c9b3fc81458d9e1f28fbc ""
+ "common/packages.tex" 1617288101 2086 f5a6a26e1bc1eac0456d7c6fc90a82ce ""
+ "common/teilnehmer.tex" 1617288101 795 512a21d2f0fc45fcb15547d79b527ba7 ""
+ "common/titlepage.tex" 1617288101 555 14512c8d698cbe55b220f3a956c2e9bf ""
+ "nul" 0 0 d41d8cd98f00b204e9800998ecf8427e ""
+ "papers/clifford/packages.tex" 1626345216 292 2b357b2b1784de1a2c04bc539fc37dcc ""
+ "papers/common/addbibresources.tex" 1617288101 558 d55643069b0d27a40573bcd4a0192557 ""
+ "papers/common/addpackages.tex" 1624980588 498 bea0ec50550c94420c64f507f326b631 ""
+ "papers/erdbeben/packages.tex" 1617288102 241 952ad7202bd42a8650920280e5575d34 ""
+ "papers/ifs/packages.tex" 1617288102 236 c9eafc894fd39ad1a6eb6af798907cd3 ""
+ "papers/mceliece/packages.tex" 1617288102 241 390a370595b554982994eeed032349d7 ""
+ "papers/multiplikation/packages.tex" 1617288103 247 647fcd190bbe1c6bb6cb97ca9b1bf5e0 ""
+ "papers/munkres/packages.tex" 1617288103 240 63c4b80a737a5717be4264d871898277 ""
+ "papers/punktgruppen/packages.tex" 1624097835 154 d2ff2f93837094752b9e01b860a5a52d ""
+ "papers/reedsolomon/packages.tex" 1626876699 304 a4540dcb2d44e1102579ed1b71496a54 ""
+ "papers/spannung/packages.tex" 1617288104 241 c47878756bc3ea073ec5c928a1ff40e9 ""
+ "papers/verkehr/packages.tex" 1617288104 240 ced2fad36cbca5cb3f2ae419ede381ce ""
+ (generated)
+ "buch.aux"
+ "buch.out"
+ "buch-blx.bib"
+ "buch.log"
+ "c:/JB/LaTex/SeminarMatrizen/buch/buch.log"
+ "buch.toc"
+ "buch.idx"
+ "buch1-blx.aux"
+ "c:/JB/LaTex/SeminarMatrizen/buch/buch.pdf"