# LaTeX2HTML 2023 (Released January 1, 2023)
# Associate images original text with physical files.


$key = q/+;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.77ex; vertical-align: -0.31ex; " SRC="|."$dir".q|img15.svg"
 ALT="$+$">|; 

$key = q/-;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.77ex; vertical-align: -0.31ex; " SRC="|."$dir".q|img28.svg"
 ALT="$-$">|; 

$key = q/>;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.57ex; vertical-align: -0.21ex; " SRC="|."$dir".q|img5.svg"
 ALT="$&gt;$">|; 

$key = q/^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img67.svg"
 ALT="$^1$">|; 

$key = q/^2Pi_{1slash2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.94ex; vertical-align: -0.94ex; " SRC="|."$dir".q|img48.svg"
 ALT="$^2\Pi_{1/2}$">|; 

$key = q/^2Pi_{3slash2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.94ex; vertical-align: -0.94ex; " SRC="|."$dir".q|img40.svg"
 ALT="$^2\Pi_{3/2}$">|; 

$key = q/^2Sigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img49.svg"
 ALT="$^2\Sigma$">|; 

$key = q/^{13};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img69.svg"
 ALT="$^{13}$">|; 

$key = q/^{18};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img68.svg"
 ALT="$^{18}$">|; 

$key = q/^{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img6.svg"
 ALT="$^{1}$">|; 

$key = q/^{2,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img7.svg"
 ALT="$^{2,3}$">|; 

$key = q/^{29};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img51.svg"
 ALT="$^{29}$">|; 

$key = q/^{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img8.svg"
 ALT="$^{2}$">|; 

$key = q/^{30};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img57.svg"
 ALT="$^{30}$">|; 

$key = q/^{33};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img63.svg"
 ALT="$^{33}$">|; 

$key = q/^{34};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img50.svg"
 ALT="$^{34}$">|; 

$key = q/^{circ};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.83ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img38.svg"
 ALT="$^{\circ}$">|; 

$key = q/^{primeprime};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.97ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img17.svg"
 ALT="$^{\prime\prime}$">|; 

$key = q/^{th};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.20ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img9.svg"
 ALT="$^{th}$">|; 

$key = q/_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.28ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img41.svg"
 ALT="$_2$">|; 

$key = q/_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.28ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img39.svg"
 ALT="$_3$">|; 

$key = q/_4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.28ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img46.svg"
 ALT="$_4$">|; 

$key = q/_{0,15};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img79.svg"
 ALT="$_{0,15}$">|; 

$key = q/_{0,16};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img78.svg"
 ALT="$_{0,16}$">|; 

$key = q/_{0,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img45.svg"
 ALT="$_{0,3}$">|; 

$key = q/_{0,4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img42.svg"
 ALT="$_{0,4}$">|; 

$key = q/_{0,7};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img59.svg"
 ALT="$_{0,7}$">|; 

$key = q/_{0,8};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img58.svg"
 ALT="$_{0,8}$">|; 

$key = q/_{1,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img43.svg"
 ALT="$_{1,3}$">|; 

$key = q/_{1,4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img44.svg"
 ALT="$_{1,4}$">|; 

$key = q/_{2,11};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img81.svg"
 ALT="$_{2,11}$">|; 

$key = q/_{2,12};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img80.svg"
 ALT="$_{2,12}$">|; 

$key = q/_{2,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img66.svg"
 ALT="$_{2,1}$">|; 

$key = q/_{2,5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img53.svg"
 ALT="$_{2,5}$">|; 

$key = q/_{2,6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img52.svg"
 ALT="$_{2,6}$">|; 

$key = q/_{2,8};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img71.svg"
 ALT="$_{2,8}$">|; 

$key = q/_{2,9};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img70.svg"
 ALT="$_{2,9}$">|; 

$key = q/_{3,0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img65.svg"
 ALT="$_{3,0}$">|; 

$key = q/_{4,4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img62.svg"
 ALT="$_{4,4}$">|; 

$key = q/_{4,5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img61.svg"
 ALT="$_{4,5}$">|; 

$key = q/_{4,6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img60.svg"
 ALT="$_{4,6}$">|; 

$key = q/_{6,0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img56.svg"
 ALT="$_{6,0}$">|; 

$key = q/_{6,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img55.svg"
 ALT="$_{6,1}$">|; 

$key = q/_{6,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img54.svg"
 ALT="$_{6,2}$">|; 

$key = q/_{6,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img77.svg"
 ALT="$_{6,3}$">|; 

$key = q/_{6,4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img76.svg"
 ALT="$_{6,4}$">|; 

$key = q/_{6,5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img75.svg"
 ALT="$_{6,5}$">|; 

$key = q/_{8,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img73.svg"
 ALT="$_{8,1}$">|; 

$key = q/_{8,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img72.svg"
 ALT="$_{8,2}$">|; 

$key = q/_{8,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.59ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img74.svg"
 ALT="$_{8,3}$">|; 

$key = q/_{mathrm{K_a,K_c}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.65ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img64.svg"
 ALT="$_{\mathrm {K_a,K_c}}$">|; 

$key = q/includegraphics[height=0.49textwidth,angle=-90]{mrtcal-check-fig-6a};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 37.33ex; vertical-align: -37.35ex; " SRC="|."$dir".q|img18.svg"
 ALT="\includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-6a}">|; 

$key = q/includegraphics[height=0.49textwidth,angle=-90]{mrtcal-check-fig-6b};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 37.33ex; vertical-align: -37.35ex; " SRC="|."$dir".q|img19.svg"
 ALT="\includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-6b}">|; 

$key = q/includegraphics[height=0.49textwidth,angle=-90]{mrtcal-check-fig-7a};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 30.98ex; vertical-align: -30.98ex; " SRC="|."$dir".q|img24.svg"
 ALT="\includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7a}">|; 

$key = q/includegraphics[height=0.49textwidth,angle=-90]{mrtcal-check-fig-7b};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 30.98ex; vertical-align: -30.98ex; " SRC="|."$dir".q|img25.svg"
 ALT="\includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7b}">|; 

$key = q/includegraphics[height=0.49textwidth,angle=-90]{mrtcal-check-fig-7c};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 30.98ex; vertical-align: -30.98ex; " SRC="|."$dir".q|img26.svg"
 ALT="\includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7c}">|; 

$key = q/includegraphics[height=0.49textwidth,angle=-90]{mrtcal-check-fig-7d};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 30.98ex; vertical-align: -30.98ex; " SRC="|."$dir".q|img27.svg"
 ALT="\includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7d}">|; 

$key = q/includegraphics[height=0.8textwidth,angle=-90]{mrtcal-check-fig-10a};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 50.43ex; vertical-align: -50.50ex; " SRC="|."$dir".q|img29.svg"
 ALT="\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-10a}">|; 

$key = q/includegraphics[height=0.8textwidth,angle=-90]{mrtcal-check-fig-10b};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 50.43ex; vertical-align: -50.50ex; " SRC="|."$dir".q|img30.svg"
 ALT="\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-10b}">|; 

$key = q/includegraphics[height=0.8textwidth,angle=-90]{mrtcal-check-fig-11};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 55.86ex; vertical-align: -55.95ex; " SRC="|."$dir".q|img35.svg"
 ALT="\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-11}">|; 

$key = q/includegraphics[height=0.8textwidth,angle=-90]{mrtcal-check-fig-12a};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 56.21ex; vertical-align: -56.31ex; " SRC="|."$dir".q|img36.svg"
 ALT="\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-12a}">|; 

$key = q/includegraphics[height=0.8textwidth,angle=-90]{mrtcal-check-fig-12b};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 56.80ex; vertical-align: -56.90ex; " SRC="|."$dir".q|img37.svg"
 ALT="\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-12b}">|; 

$key = q/includegraphics[height=textwidth,angle=-90]{mrtcal-check-fig-8};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 54.71ex; vertical-align: -54.80ex; " SRC="|."$dir".q|img31.svg"
 ALT="\includegraphics[height=\textwidth,angle=-90]{mrtcal-check-fig-8}">|; 

$key = q/includegraphics[width=0.7textwidth]{mrtcal-check-fig-1};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 58.10ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img11.svg"
 ALT="\includegraphics[width=0.7\textwidth]{mrtcal-check-fig-1}">|; 

$key = q/includegraphics[width=0.7textwidth]{mrtcal-check-fig-2};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 58.10ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img12.svg"
 ALT="\includegraphics[width=0.7\textwidth]{mrtcal-check-fig-2}">|; 

$key = q/includegraphics[width=0.7textwidth]{mrtcal-check-fig-3};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 58.10ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img13.svg"
 ALT="\includegraphics[width=0.7\textwidth]{mrtcal-check-fig-3}">|; 

$key = q/includegraphics[width=0.7textwidth]{mrtcal-check-fig-4};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 58.10ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img14.svg"
 ALT="\includegraphics[width=0.7\textwidth]{mrtcal-check-fig-4}">|; 

$key = q/includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5a};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 38.42ex; vertical-align: -38.44ex; " SRC="|."$dir".q|img20.svg"
 ALT="\includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5a}">|; 

$key = q/includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5b};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 38.42ex; vertical-align: -38.44ex; " SRC="|."$dir".q|img21.svg"
 ALT="\includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5b}">|; 

$key = q/includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5c};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 38.42ex; vertical-align: -38.44ex; " SRC="|."$dir".q|img22.svg"
 ALT="\includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5c}">|; 

$key = q/includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5d};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 38.42ex; vertical-align: -38.44ex; " SRC="|."$dir".q|img23.svg"
 ALT="\includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5d}">|; 

$key = q/includegraphics[width=5cm]{gildas-logo};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 22.64ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img10.svg"
 ALT="\includegraphics[width=5cm]{gildas-logo}">|; 

$key = q/includegraphics[width=linewidth]{mrtcal-check-fig-9};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 58.37ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img32.svg"
 ALT="\includegraphics[width=\linewidth]{mrtcal-check-fig-9}">|; 

$key = q/leq;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.02ex; vertical-align: -0.43ex; " SRC="|."$dir".q|img33.svg"
 ALT="$\leq$">|; 

$key = q/mathrm{T_A^*};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.46ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img3.svg"
 ALT="$\mathrm {T_A^*}$">|; 

$key = q/mathrm{T_{sys}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.48ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img34.svg"
 ALT="$\mathrm{T_{sys}}$">|; 

$key = q/nu_7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.58ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img47.svg"
 ALT="$\nu_7$">|; 

$key = q/pm;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.77ex; vertical-align: -0.31ex; " SRC="|."$dir".q|img16.svg"
 ALT="$\pm$">|; 

$key = q/sigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.23ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img2.svg"
 ALT="$\sigma $">|; 

$key = q/sim7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.72ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img1.svg"
 ALT="$\sim 7$">|; 

$key = q/sim;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.08ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img4.svg"
 ALT="$\sim $">|; 

1;

