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(Loading /usr/local/share/perl/5.38.2/LaTeXML/Engine/math_common.pool.ltxml... 0.03 sec) 0.05 sec) 0.47 sec) (Loading /opt/ar5iv-bindings/bindings/ar5iv.sty.ltxml... (Loading /usr/local/share/perl/5.38.2/LaTeXML/Package/latexml.sty.ltxml... 0.03 sec) 0.07 sec) latexmlc (LaTeXML version 0.8.8) invoked as [/usr/local/bin/latexmlc --whatsin=directory --pmml --mathtex --noinvisibletimes --format=html5 --navigationtoc=context --timeout=540 --css=/static/browse/0.3.4/css/arxiv-html-papers-20260131.css --javascript=/static/browse/0.3.4/js/arxiv-html-papers-20260131.js --source=/arxiv/extracted/7467509 --log=/arxiv/extracted/7467509/html/7467509/__stdout.txt --dest=/arxiv/extracted/7467509/html/7467509/7467509.html --preload=ar5iv.sty --path=/opt/ar5iv-bindings/bindings --path=/opt/ar5iv-bindings/supported_originals] processing started Sat Apr 11 08:40:07 2026 (Digesting TeX equalPDgroups... (Processing content /arxiv/extracted/7467509/equalPDgroups.tex... 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(Loading compiled schema /usr/local/share/perl/5.38.2/LaTeXML/resources/RelaxNG/LaTeXML.model... 0.03 sec) 9.37 sec) (Rewriting... 0.27 sec) (Math Parsing 683 formulae ...... Warning:not_parsed:>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 391 col 18 - line 391 col 24 In "$|G:T|$" > |[[VERTBAR]] G[[UNKNOWN]] :[[METARELOP]] T[[UNKNOWN]] |[[VERTBAR]] Warning:not_parsed:NUMBER>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 395 col 58 - line 395 col 69 In "$2\mid|M:T|$" 2[[NUMBER]] > ∣[[VERTBAR]] |[[VERTBAR]] M[[UNKNOWN]] :[[METARELOP]] T[[UNKNOWN]] |[[VERTBAR]] Warning:not_parsed:>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 396 col 2 - line 396 col 8 In "$|G:T|$" > |[[VERTBAR]] G[[UNKNOWN]] :[[METARELOP]] T[[UNKNOWN]] |[[VERTBAR]] Warning:not_parsed:NUMBER>RELOP MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 396 col 84 - line 396 col 96 In "$2\nmid|M:T|$" 2[[NUMBER]] > ∤[[RELOP]] |[[VERTBAR]] M[[UNKNOWN]] :[[METARELOP]] T[[UNKNOWN]] |[[VERTBAR]] Warning:not_parsed:>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 430 col 27 - line 430 col 34 In "$|G:T|=7$" > |[[VERTBAR]] G[[UNKNOWN]] :[[METARELOP]] T[[UNKNOWN]] |[[VERTBAR]] =[[RELOP]] 7[[NUMBER]] Warning:not_parsed:>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 436 col 63 - line 436 col 79 In "$|G:T|=5\cdot 7$" > |[[VERTBAR]] G[[UNKNOWN]] :[[METARELOP]] T[[UNKNOWN]] |[[VERTBAR]] =[[RELOP]] 5[[NUMBER]] ⋅[[MULOP]] 7[[NUMBER]] Warning:not_parsed:>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 494 col 61 - line 494 col 68 In "$|G:M|=2$" > |[[VERTBAR]] G[[UNKNOWN]] :[[METARELOP]] M[[UNKNOWN]] |[[VERTBAR]] =[[RELOP]] 2[[NUMBER]] Warning:not_parsed:CLOSE.RELOP.UNKNOWN>OPEN MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 499 col 9 - line 499 col 67 In "$\{2\cdot 3,2^{3}\}\subset{\rm cd}(2.S_{7})\cap{\rm cd}(6.S_{7})$" {[[OPEN]] 2[[NUMBER]] ⋅[[MULOP]] 3[[NUMBER]] ,[[PUNCT]] 2[[NUMBER]] 3@()[[POSTSUPERSCRIPT]] }[[CLOSE]] ⊂[[RELOP]] cd[[UNKNOWN]] > ([[OPEN]] 2[[NUMBER]] .[[PERIOD]] S[[UNKNOWN]] 7@()[[POSTSUBSCRIPT]] )[[CLOSE]] ∩[[ADDOP]] cd[[UNKNOWN]] ([[OPEN]] 6[[NUMBER]] .[[PERIOD]] S[[UNKNOWN]] 7@()[[POSTSUBSCRIPT]] )[[CLOSE]] Warning:not_parsed:CLOSE.RELOP.UNKNOWN>OPEN MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 500 col 7 - line 500 col 57 In "$\{2\cdot 3,2\cdot 3\cdot 5\}\subset{\rm cd}(3.S_{7})$" {[[OPEN]] 2[[NUMBER]] ⋅[[MULOP]] 3[[NUMBER]] ,[[PUNCT]] 2[[NUMBER]] ⋅[[MULOP]] 3[[NUMBER]] ⋅[[MULOP]] 5[[NUMBER]] }[[CLOSE]] ⊂[[RELOP]] cd[[UNKNOWN]] > ([[OPEN]] 3[[NUMBER]] .[[PERIOD]] S[[UNKNOWN]] 7@()[[POSTSUBSCRIPT]] )[[CLOSE]] Warning:not_parsed:>VERTBAR MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 511 col 6 - line 511 col 27 In "$|\widehat{N_{0}}:N_{0}|=2$" > |[[VERTBAR]] widehat@(N _ 0)[[UNKNOWN]] :[[METARELOP]] N[[UNKNOWN]] 0@()[[POSTSUBSCRIPT]] |[[VERTBAR]] =[[RELOP]] 2[[NUMBER]] Warning:not_parsed:UNKNOWN>OPEN MathParser failed to match rule 'Anything' at equalPDgroups.tex; line 532 col 37 - line 532 col 78 In "${\rm cd}(3.A_{7})=\{1,6,10,14,15,21,24,35\}$" cd[[UNKNOWN]] > ([[OPEN]] 3[[NUMBER]] .[[PERIOD]] A[[UNKNOWN]] 7@()[[POSTSUBSCRIPT]] )[[CLOSE]] =[[RELOP]] {[[OPEN]] 1[[NUMBER]] ,[[PUNCT]] 6[[NUMBER]] ,[[PUNCT]] 10[[NUMBER]] ,[[PUNCT]] 14[[NUMBER]] ,[[PUNCT]] 15[[NUMBER]] ,[[PUNCT]] 21[[NUMBER]] ,[[PUNCT]] 24[[NUMBER]] ,[[PUNCT]] 35[[NUMBER]] }[[CLOSE]] 9.42 sec) Math parsing succeeded: ltx:XMArg: 429/429 ltx:XMath: 672/683 Symbols assumed as simple identifiers (with # of occurences): 'Aut' (5), 'A{OML italic}' (53), 'A{italic}' (1), 'B{OML italic}' (9), 'C{OML italic}' (11), 'D{OML italic}' (1), 'E{OML italic}' (10), 'F{OML italic}' (4), 'G' (2), 'G{OML italic}' (53), 'H{OML italic}' (12), 'Irr' (5), 'J{OML italic}' (4), 'L{OML italic}' (42), 'M{OML italic}' (24), 'N{OML italic}' (61), 'O{OML italic}' (1), 'P{OML italic}' (15), 'Q{OML italic}' (9), 'R{OML italic}' (5), 'S{OML italic}' (62), 'T' (1), 'T{OML italic}' (24), 'Z{OML italic}' (3), 'a{OML italic}' (17), 'b{OML italic}' (3), 'cd' (26), 'chi' (64), 'c{OML italic}' (1), 'd{OML italic}' (19), 'e{OML italic}' (1), 'h{OML italic}' (2), 'h{italic}' (1), 'i{OML italic}' (5), 'i{italic}' (3), 'j{OML italic}' (1), 'j{italic}' (3), 'lambda' (15), 'n{OML italic}' (38), 'n{italic}' (31), 'or' (1), 'o{OML italic}' (9), 'pi' (23), 'p{OML italic}' (3), 'rho' (4), 'sigma' (7), 'theta' (26), 't{OML italic}' (4), 'u{OML italic}' (2), 'x{OML italic}' (2), 'y{OML italic}' (16), 'z{OML italic}' (1) Set MATHPARSER_SPECULATE to speculate on possible notations. (Finalizing... 0.99 sec) Conversion complete: 11 warnings (See /arxiv/extracted/7467509/html/7467509/__stdout.txt) (post-processing... (Scan 7467509.html processing... Scan: DBStatus: 8309/0 objects 2.06 sec) (MakeBibliography 7467509.html processing... 0.00 sec) (CrossRef 7467509.html processing... 0.49 sec) (MathML::Presentation[w/TeXMath] 7467509.html 683 to process... converted 683 Maths 1.80 sec) (XSLT[using LaTeXML-html5.xsl] 7467509.html processing... Warning:missing_file:/static/browse/0.3.4/css/arxiv-html-papers-20260131.css Couldn't find resource file /static/browse/0.3.4/css/arxiv-html-papers-20260131.css in paths /arxiv,/opt/ar5iv-bindings/bindings,/opt/ar5iv-bindings/supported_originals,/arxiv/extracted/7467509,/arxiv,/arxiv/extracted/7467509,/opt/ar5iv-bindings/supported_originals,/opt/ar5iv-bindings/bindings,/arxiv,.,/arxiv,/opt/ar5iv-bindings/bindings,/opt/ar5iv-bindings/supported_originals,/arxiv/extracted/7467509,/arxiv at Post::XSLT[@0x56046d0862c8] In Post::XSLT[@0x56046d0862c8] ->copyResource Warning:missing_file:/static/browse/0.3.4/js/arxiv-html-papers-20260131.js Couldn't find resource file /static/browse/0.3.4/js/arxiv-html-papers-20260131.js in paths /arxiv,/opt/ar5iv-bindings/bindings,/opt/ar5iv-bindings/supported_originals,/arxiv/extracted/7467509,/arxiv,/arxiv/extracted/7467509,/opt/ar5iv-bindings/supported_originals,/opt/ar5iv-bindings/bindings,/arxiv,.,/arxiv,/opt/ar5iv-bindings/bindings,/opt/ar5iv-bindings/supported_originals,/arxiv/extracted/7467509,/arxiv at Post::XSLT[@0x56046d0862c8] In Post::XSLT[@0x56046d0862c8] ->copyResource 0.35 sec) (Writer 7467509.html processing... 0.01 sec) 4.73 sec) Post-processing complete: 2 warnings (See /arxiv/extracted/7467509/html/7467509/__stdout.txt) processing finished Sat Apr 11 08:40:41 2026 Status:conversion:1