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[8] Underfull \vbox (badness 10000) has occurred while \output is active [] [9 <./fig_thm_cubic_contraction_4face.png>] Underfull \hbox (badness 1648) in paragraph at lines 638--644 \OT1/cmr/m/it/10 Remark \OT1/cmr/m/n/10 4.4\OT1/cmr/m/it/10 . \OT1/cmr/m/n/10 T he strength-ened con-jec-ture was tested on the same chord- [] Underfull \hbox (badness 1014) in paragraph at lines 638--644 \OT1/cmr/m/n/10 apex+Kempe colour-ings as Re-mark 4.2[]; for each colour-ing we sought any [] [10] [11] (./paper.aux) ) Here is how much of TeX's memory you used: 3087 strings out of 478268 44184 string characters out of 5846347 350310 words of memory out of 5000000 21121 multiletter control sequences out of 15000+600000 478077 words of font info for 62 fonts, out of 8000000 for 9000 1302 hyphenation exceptions out of 8191 69i,9n,76p,744b,373s stack positions out of 10000i,1000n,20000p,200000b,200000s < /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb> Output written on paper.pdf (11 pages, 941265 bytes). 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