\documentclass{article}
\usepackage{latexml}
\usepackage{mathabx}
\usepackage{xcolor}
\def\test#1{$#1$ & \texttt{\string#1}\\}
\def\testacc#1{$#1{X}$ & \texttt{\string#1}\\}
\def\MISSINGtest#1{\iflatexml\textcolor{red}{[No Unicode]}\else $#1$\fi & \texttt{\string#1}\\}
\def\testaccl#1{$#1{ABC\ldots XYZ}$ & \texttt{\string#1}\\}
\newenvironment{tests}{\mbox{ }\par\noindent\begin{tabular}{ll}}{\end{tabular}}
\def\testalias#1#2{\test{#2}}
\def\testalias#1#2{}
\begin{document}
\paragraph{Specials (matha/mathb)}
\begin{tests}%
\test{\notsign}
\test{\varnotsign}
\test{\cdotp}
\end{tests}
%
\paragraph{Usual binary operators (matha)}
%
\begin{tests}
\test{+}
\test{-}
\test{\times}
\test{\div}
\test{\cdot}
\test{\circ}
\test{*}
\test{\ast}
\test{\asterisk}
\MISSINGtest{\coasterisk}
\test{\pm}
\test{\mp}
\test{\ltimes}
\test{\rtimes}
\test{\diamond}
\test{\bullet}
\test{\star}
\test{\varstar}
\test{\ssum}
\test{\sprod}
\test{\amalg}
\testalias\amalg\scoprod
\end{tests}
%
\paragraph{Unusual binary operators (mathb)}
\begin{tests}
\test{\dotplus}
\test{\dotdiv}
\test{\dottimes}
\test{\divdot}
\test{\udot}
\test{\square}
\test{\Asterisk}
\test{\bigast}
\MISSINGtest{\coAsterisk}
\MISSINGtest{\bigcoast}
\test{\circplus}
\test{\pluscirc}
\test{\convolution}
\test{\divideontimes}
\test{\blackdiamond}
\test{\sqbullet}
\testalias\sqbullet\centerdot
\test{\bigstar}
\test{\bigvarstar}
\end{tests}
%
\paragraph{Usual relations (matha)}
\begin{tests}
\test{=}
\test{\equiv}
\test{\sim}
\test{\approx}
\test{\simeq}
\test{\cong}
\test{\asymp}
\test{\divides}
\test{\neq}
\testalias\neq\ne
\test{\notequiv}
\testalias\notequiv\nequiv
\test{\nsim}
\test{\napprox}
\test{\nsimeq}
\test{\ncong}
\test{\notasymp}
\test{\notdivides}
\testalias\notdivides\ndivides
%\test{\approxeq}
%\test{\eqsim}
%\test{\napproxeq}
%\test{\neqsim}
\end{tests}
%
\paragraph{Unusual relations (mathb)}
\begin{tests}%
\test{\topdoteq}
\test{\botdoteq}
\test{\dotseq}
\testalias\dotseq{\doteqdot\Doteq}%
\test{\risingdotseq}
\test{\fallingdotseq}
\test{\coloneq}
\test{\eqcolon}
\test{\bumpedeq}
\MISSINGtest{\eqbumped}
\test{\Bumpedeq}
\test{\circeq}
\test{\eqcirc}
\test{\triangleq}
\test{\corresponds}
\end{tests}
%
\paragraph{Miscellaneous (matha)}
\begin{tests}%
\test{\neg}
\testalias\neg\lnot
\test{\ll}
\test{\gg}
\test{\hash}
\test{\vdash}
\test{\dashv}
\test{\nvdash}
\test{\ndashv}
\test{\vDash}
\test{\Dashv}
\test{\nvDash}
\test{\nDashv}
\test{\Vdash}
\test{\dashV}
\test{\nVdash}
\test{\ndashV}
%
\test{\degree}
\test{\prime}
\test{\second}
\test{\third}
\test{\fourth}
\test{\flat}
\test{\natural}
\test{\sharp}
\test{\infty}
\test{\propto}
\test{\dagger}
\test{\ddagger}
\end{tests}
%
\paragraph{Miscellaneous (mathb)}
\begin{tests}%
\test{\between}
\test{\smile}
\test{\frown}
\test{\varhash}
\test{\leftthreetimes}
\test{\rightthreetimes}
\test{\pitchfork}
\test{\bowtie}
\testalias\bowtie\Join
\test{\VDash}
\test{\DashV}
\test{\nVDash}
\test{\nDashV}
\test{\Vvdash}
\MISSINGtest{\dashVv}
\test{\nVvash}
\MISSINGtest{\ndashVv}
%
\test{\therefore}
\test{\because}
\testacc{\ring}
\testacc{\dot}
\testacc{\ddot}
\testacc{\dddot}
\testacc{\ddddot}
\test{\angle}
\test{\measuredangle}
\test{\sphericalangle}
\test{\rip}
\end{tests}
%
\paragraph{Delimiters as symbols (matha)}
\begin{tests}%
\test{(}
\test{)}
\test{[}
\test{]}
%\test{\lbrace}
%\test{\rbrace}
% \test{\backslash}
\test{\setminus}
\test{/}
\test{|}
\test{\mid}
% \test{\|}
% \test{\vvvert}
\end{tests}
%
\paragraph{Delimiters as symbols (mathb)}
\begin{tests}%
\MISSINGtest{\lcorners}
\MISSINGtest{\rcorners}
\test{\ulcorner}
\test{\urcorner}
\test{\llcorner}
\test{\lrcorner}
\end{tests}
%
\paragraph{Astronomical symbols (mathb)}
\begin{tests}%
\test{\Sun}
\test{\Mercury}
\test{\Venus}
\testalias\Venus\girl
\test{\Earth}
\test{\Mars}
\testalias\Mars\boy
\test{\Jupiter}
\test{\Saturn}
\test{\Uranus}
\test{\Neptune}
\test{\Pluto}
\test{\varEarth}
\test{\leftmoon}
\testalias\leftmoon\Moon
\test{\rightmoon}
\test{\fullmoon}
\test{\newmoon}
%
\test{\Aries}
\test{\Taurus}
\test{\Gemini}
%\test{\Cancer}
\test{\Leo}
%\test{\Virgo}
\test{\Libra}
\test{\Scorpio}
%\test{\Sagittarius}
%\test{\Capricornus}
%\test{\Aquarius}
%\test{\Pisces}
\end{tests}
%
\paragraph{Letter like symbols (matha)}
\begin{tests}%
\test{\forall}
\test{\complement}
\test{\partial}
\test{\partialslash}
\test{\exists}
\test{\nexists}
\test{\Finv}
\test{\Game}
\test{\emptyset}
\test{\diameter}
\test{\top}
\test{\bot}
\test{\perp}
\test{\nottop}
\test{\notbot}
\test{\notperp}
\test{\curlywedge}
\test{\curlyvee}
%
\test{\in}
\test{\owns}
\testalias\owns\ni
%\mathabx@undefine{\notin}
\test{\notin}
\test{\notowner}
\testalias\notowner{\notni\notowns}%
\test{\varnotin}
\test{\varnotowner}
\test{\barin}
\test{\ownsbar}
\testalias\ownsbar\nibar% Arghl
%
\test{\cap}
\test{\cup}
\test{\uplus}
\test{\sqcap}
\test{\sqcup}
\MISSINGtest{\squplus}
\test{\wedge}
\testalias\wedge\land
\test{\vee}
\testalias\vee\lor
\end{tests}
%
\paragraph{Letter like symbols (mathb)}
\begin{tests}%
\test{\barwedge}
\test{\veebar}
\test{\doublebarwedge}
\test{\veedoublebar}
\test{\doublecap}
\testalias\doublecap\Cap
\test{\doublecup}
\testalias\doublecup\Cup
\test{\sqdoublecap}
\testalias\sqdoublecap\sqCap
\test{\sqdoublecup}
\testalias\sqdoublecup\sqCup
\end{tests}
%
\paragraph{Subset's and superset's signs (matha)}
\begin{tests}%
\test{\subset}
\test{\supset}
\test{\nsubset}
\test{\nsupset}
\test{\subseteq}
\test{\supseteq}
\test{\nsubseteq}
\test{\nsupseteq}
\test{\subsetneq}
\test{\supsetneq}
\test{\varsubsetneq}
\test{\varsupsetneq}
%
\test{\subseteqq}
\test{\supseteqq}
\test{\nsubseteqq}
\test{\nsupseteqq}
\test{\subsetneqq}
\test{\supsetneqq}
\test{\varsubsetneqq}
\test{\varsupsetneqq}
%
\test{\Subset}
\test{\Supset}
\test{\nSubset}
\test{\nSupset}
\end{tests}
%
\paragraph{Square subset's and superset's signs (mathb)}
\begin{tests}
\test{\sqsubset}
\test{\sqsupset}
\test{\nsqsubset}
\test{\nsqsupset}
\test{\sqsubseteq}
\test{\sqsupseteq}
\test{\nsqsubseteq}
\test{\nsqsupseteq}
\test{\sqsubsetneq}
\test{\sqsupsetneq}
\test{\varsqsubsetneq}
\test{\varsqsupsetneq}
%
\test{\sqsubseteqq}
\test{\sqsupseteqq}
\test{\nsqsubseteqq}
\test{\nsqsupseteqq}
\MISSINGtest{\sqsubsetneqq}
\MISSINGtest{\sqsupsetneqq}
\MISSINGtest{\varsqsubsetneqq}
\MISSINGtest{\varsqsupsetneqq}
%
\MISSINGtest{\sqSubset}
\MISSINGtest{\sqSupset}
\MISSINGtest{\nsqSubset}
\MISSINGtest{\nsqSupset}
\end{tests}
%
\paragraph{Triangles as relations (matha)}
\begin{tests}%
\test{\triangleleft}
\test{\vartriangleleft}
\test{\triangleright}
\test{\vartriangleright}
\test{\ntriangleleft}
\test{\ntriangleright}
\test{\trianglelefteq}
\test{\trianglerighteq}
\test{\ntrianglelefteq}
\test{\ntrianglerighteq}
\end{tests}
%
\paragraph{Triangles as binary operators (mathb)}
\begin{tests}%
\test{\smalltriangleup}
\test{\smalltriangledown}
\test{\smalltriangleleft}
\test{\smalltriangleright}
\test{\blacktriangleup}
\test{\blacktriangledown}
\test{\blacktriangleleft}
\test{\blacktriangleright}
\end{tests}
%
\paragraph{Inequalities (matha)}
\begin{tests}%
\test{<}
\test{>}
\test{\nless}
\test{\ngtr}
\test{\leq}
\testalias\leq{\le\leqslant}%
\test{\geq}
\testalias\geq{\ge\geqslant}%
\test{\nleq}
\testalias\nleq\nleqslant 
\test{\ngeq}
\testalias\ngeq\ngeqslant
\test{\varleq}
\test{\vargeq}
\test{\nvarleq}
\test{\nvargeq}
\test{\lneq}
\test{\gneq}
\test{\leqq}
\test{\geqq}
\test{\nleqq}
\test{\ngeqq}
\test{\lneqq}
\test{\gneqq}
\test{\lvertneqq}
\test{\gvertneqq}
\test{\eqslantless}
\test{\eqslantgtr}
\test{\neqslantless}
\test{\neqslantgtr}
\test{\lessgtr}
\test{\gtrless}
\test{\lesseqgtr}
\test{\gtreqless}
\test{\lesseqqgtr}
\test{\gtreqqless}
%
\test{\lesssim}
\test{\gtrsim}
\test{\nlesssim}
\test{\ngtrsim}
\test{\lnsim}
\test{\gnsim}
\test{\lessapprox}
\test{\gtrapprox}
\test{\nlessapprox}
\test{\ngtrapprox}
\test{\lnapprox}
\test{\gnapprox}
%
\test{\lessdot}
\test{\gtrdot}
%
\test{\lll}
\test{\ggg}
%
\test{\precdot}
\test{\succdot}
\end{tests}
%
\paragraph{Inequalities (mathb)}
\begin{tests}%
\test{\prec}
\test{\succ}
\test{\nprec}
\test{\nsucc}
\test{\preccurlyeq}
\test{\succcurlyeq}
\test{\npreccurlyeq}
\test{\nsucccurlyeq}
\test{\preceq}
\test{\succeq}
\test{\npreceq}
\test{\nsucceq}
\test{\precneq}
\test{\succneq}
\test{\curlyeqprec}
\test{\curlyeqsucc}
\test{\ncurlyeqprec}
\test{\ncurlyeqsucc}
%
\test{\precsim}
\test{\succsim}
\test{\nprecsim}
\test{\nsuccsim}
\test{\precnsim}
\test{\succnsim}
\test{\precapprox}
\test{\succapprox}
\test{\nprecapprox}
\test{\nsuccapprox}
\test{\precnapprox}
\test{\succnapprox}
%
\test{\llcurly}
\test{\ggcurly}
%
% \test{\leftthreetimes}
% \test{\rightthreetimes}
\end{tests}
%
\paragraph{Arrows and harppons (matha)}
\begin{tests}%
\test{\leftarrow}
\testalias\leftarrow\gets
\test{\rightarrow}
\testalias\rightarrow\to
% \test{\uparrow}
% \test{\downarrow}
\test{\nwarrow}
\test{\nearrow}
\test{\swarrow}
\test{\searrow}
\test{\leftrightarrow}
% \test{\updownarrow}
\test{\nleftarrow}
\test{\nrightarrow}
\test{\nleftrightarrow}
%\mathabx@undefine{\relbar}
\test{\relbar}
\test{\mapstochar}
\test{\mapsfromchar}
%
\test{\leftharpoonup}
\test{\rightharpoonup}
\test{\leftharpoondown}
\test{\rightharpoondown}
\test{\upharpoonleft}
\test{\downharpoonleft}
\test{\upharpoonright}
\test{\restriction}
\test{\downharpoonright}
\test{\leftrightharpoons}
%\mathabx@undefine{\rightleftharpoons}
\test{\rightleftharpoons}
\test{\updownharpoons}
\test{\downupharpoons}
%
\test{\Leftarrow}
\test{\Rightarrow}
% \test{\Uparrow}
% \test{\Downarrow}
\test{\Leftrightarrow}
% \test{\Updownarrow}
\test{\nLeftarrow}
\test{\nRightarrow}
\test{\nLeftrightarrow}
\test{\Relbar}
\test{\Mapstochar}
\test{\Mapsfromchar}
\end{tests}
%
\paragraph{Arrows and harpoons (mathb)}
\begin{tests}%
\test{\leftleftarrows}
\test{\rightrightarrows}
\test{\upuparrows}
\test{\downdownarrows}
\test{\leftrightarrows}
\test{\rightleftarrows}
\test{\updownarrows}
\test{\downuparrows}
\test{\leftleftharpoons}
\test{\rightrightharpoons}
\test{\upupharpoons}
\test{\downdownharpoons}
\test{\leftbarharpoon}
\test{\rightbarharpoon}
\test{\barleftharpoon}
\test{\barrightharpoon}
\test{\leftrightharpoon}
\test{\rightleftharpoon}
%
\test{\rhook}
\test{\lhook}
\test{\diagup}
\test{\diagdown}
%
\test{\Lsh}
\testalias\Lsh\ulsh
\test{\Rsh}
\testalias\Rsh\ursh
\test{\dlsh}
\test{\drsh}
%
\test{\looparrowleft}
\testalias\looparrowleft\looparrowupleft
\test{\looparrowright}
\testalias\looparrowright\looparrowupright
\MISSINGtest{\looparrowdownleft}
\MISSINGtest{\looparrowdownright}
%
\test{\curvearrowleft}
\testalias\curvearrowleft\curvearrowtopleft
\test{\curvearrowright}
\testalias\curvearrowright\curvearrowtopright
\MISSINGtest{\curvearrowleftright}
\testalias\curvearrowleftright\curvearrowtopleftright
\MISSINGtest{\curvearrowbotleft}
\test{\curvearrowbotright}
\MISSINGtest{\curvearrowbotleftright}
%
\test{\circlearrowleft}
\test{\circlearrowright}
%
\test{\leftsquigarrow}
\test{\rightsquigarrow}
\test{\leftrightsquigarrow}
%\test{????????}
%
\test{\lefttorightarrow}
\test{\righttoleftarrow}
\test{\uptodownarrow}
\test{\downtouparrow}
\end{tests}
%
\paragraph{Circles (matha)}
\begin{tests}%
\test{\oplus}
\test{\ominus}
\testalias\ominus\circleddash
\test{\otimes}
\test{\odiv}
\test{\odot}
\test{\ocirc}
\testalias\ocirc\circledcirc
\test{\oasterisk}
\testalias\oasterisk\circledast
\MISSINGtest{\ocoasterisk}
\test{\oleft}
\test{\oright}
\test{\otop}
\test{\obot}
\testalias\obot\operp
\test{\ovoid}
\test{\oslash}
\test{\obackslash}
\test{\otriangleup}
\end{tests}
%
\paragraph{Boxes (mathb)}
\begin{tests}%
\test{\boxplus}
\test{\boxminus}
\testalias\boxminus\boxeddash
\test{\boxtimes}
\test{\boxdiv}
\test{\boxdot}
\test{\boxcirc}
\testalias\boxcirc\boxedcirc
\test{\boxasterisk}
\testalias\boxasterisk\boxedast
\MISSINGtest{\boxcoasterisk}
\test{\boxleft}
\test{\boxright}
\test{\boxtop}
\test{\boxbot}
\testalias\boxbot\boxperp
\test{\boxvoid}
\test{\Box}
\test{\boxslash}
\test{\boxbackslash}
\test{\boxtriangleup}
\end{tests}
%
% \paragraph{Mayan numerals $\mathbfont 0\ 1\ 2\ 3\ 4\ 5$.}%
% No ...
%
\paragraph{Large operators (mathx)}
\begin{tests}%
\test{\sum}
\test{\prod}
\test{\coprod}
\test{\intop}
\test{\iintop}
\testalias\iintop\iint
\test{\iiintop}
\testalias\iiintop\iiint
\test{\ointop}
\testalias\ointop\oint
\test{\oiintop}
\testalias\oiintop\oiint
\test{\bigplus}
\test{\bigtimes}
\test{\bigcomplementop}
\def\bigcomplement{\bigcomplementop\nolimits}%
%\test{\bigtruc}
%\test{\bigcurt}
\test{\bigcap}
\test{\bigcup}
\test{\biguplus}
\test{\bigsqcap}
\test{\bigsqcup}
\MISSINGtest{\bigsquplus}
\test{\bigwedge}
\test{\bigvee}
\test{\bigcurlywedge}
\test{\bigcurlyvee}
\end{tests}
%
\paragraph{Big circles (mathx)}
\begin{tests}%
\test{\bigoplus}
\test{\bigominus}
\test{\bigotimes}
\test{\bigodiv}
\test{\bigodot}
\test{\bigocirc}
\test{\bigoasterisk}
\MISSINGtest{\bigocoasterisk}
\test{\bigoleft}
\test{\bigoright}
\test{\bigotop}
\test{\bigobot}
\testalias\bigotop\bigoperp
\test{\bigovoid}
\test{\bigoslash}
\test{\bigobackslash}
\test{\bigotriangleup}
\end{tests}
% 
\paragraph{Big boxes (mathx)}
\begin{tests}%
\test{\bigboxplus}
\test{\bigboxminus}
\test{\bigboxtimes}
\test{\bigboxdiv}
\test{\bigboxdot}
\test{\bigboxcirc}
\test{\bigboxasterisk}
\MISSINGtest{\bigboxcoasterisk}
\test{\bigboxleft}
\test{\bigboxright}
\test{\bigboxtop}
\test{\bigboxbot}
\testalias\bigboxbot\bigboxperp
\test{\bigboxvoid}
\test{\bigboxslash}
\test{\bigboxbackslash}
\test{\bigboxtriangleup}
\end{tests}
%
\paragraph{Delimiters (matha/mathx)}
\begin{tests}%
\test{(}
\test{)}
\test{[}
\test{]}
\test{\lbrace}
\test{\rbrace}
\test{\ldbrack}
\testalias\ldbrack\lsemantic
\test{\rdbrack}
\testalias\rdbrack\rsemantic
\test{\langle}
\test{\rangle}
%\mathabx@undefine{\backslash}
\test{\backslash}
\test{/}
\test{\vert}
\test{|}
\test{\Vert}
\test{\vvvert}
\testalias\Vert\|
\test{\uparrow}
\test{\downarrow}
\test{\updownarrow}
\test{\Uparrow}
\test{\Downarrow}
\test{\Updownarrow}
\end{tests}
\paragraph{Delimiters (mathb/mathx)}
\begin{tests}%
\test{\lgroup}
\test{\rgroup}
\test{\lceil}
\test{\rceil}
\test{\lfloor}
\test{\rfloor}
\test{\thickvert}
\end{tests}
%
\paragraph{Delimiters (mathx/mathx)}
\begin{tests}%
\MISSINGtest{\lfilet}
\MISSINGtest{\rfilet}
%
%\test{\lmoustache}
%\test{\rmoustache}
\end{tests}
%
\paragraph{Pieces for over-under-braces and such (mathx)}
\begin{tests}%
\test{\braceld}
\MISSINGtest{\bracemd}
\test{\bracerd}
\MISSINGtest{\bracexd}
\test{\bracelu}
\MISSINGtest{\bracemu}
\test{\braceru}
\MISSINGtest{\bracexu}
\testaccl{\overbrace}
\testaccl{\underbrace}
\testaccl{\overgroup}
\testaccl{\undergroup}
\end{tests}
%
\paragraph{Extensible accents (mathx)}
\begin{tests}%
\testaccl{\widehat}
\testaccl{\widecheck}
\testaccl{\widetilde}
\testaccl{\widebar}
\testaccl{\widearrow}
\testaccl{\wideparen}
\testaccl{\widering}
\testaccl{\widedot}
\testaccl{\wideddot}
\testaccl{\widedddot}
\testaccl{\wideddddot}
\testaccl\overrightarrow
\testaccl\overleftarrow
\testaccl\overleftrightarrow
\testaccl\underrightarrow
\testaccl\underleftarrow
\testaccl\underleftrightarrow
\testaccl\overRightarrow
\testaccl\overLeftarrow
\testaccl\overLeftRightarrow
\testaccl\underRightarrow
\testaccl\underLeftarrow
\testaccl\underLeftRightarrow
\end{tests}

\end{document}

%======================================================================
% The following stuff is apparently not yet implemented in mathabx
% Nor, in the LaTeXML binding
\paragraph{Small things ???}
\begin{tests}
\test{\smallsum}
\test{\smallprod}
\test{\smallcoprod}
\test{\complement}
\test{\boldcomplement}
\test{\boldcup}
\test{\boldcap}
\test{\boldZ}
\test{\bigboldZ}
\end{tests}
%
\paragraph{Inequalities (mathbb) unsupported}
\begin{tests}%
%\test{\preceqq}
%\test{\succeqq}
%\test{\notpreceqq}
%	\let\@notpreceqq=!
%	\let\npreceqq=\notpreceqq
%\test{\notsucceqq}
%	\let\@notqeqq=!
%	\let\nsucceqq=\notsucceqq
%\test{\precneqq}
%\test{\succneqq}
%\test{\precvertneqq}
%\test{\succvertneqq}
%\test{\precsucc}
%\test{\succprec}
%\test{\preceqsucc}
%\test{\succeqprec}
%\test{\preceqqsucc}
%\test{\succeqqprec}

%\test{\upasterisk}
%\test{\lowasterisk}
%\test{\triasterisk}
\end{tests}
%
\paragraph{Hebrew (matha/mathb)}
\begin{tests}
\test{\aleph}
\test{\beth}
\test{\gimmel}
\test{\dalet}
\test{\he}
\test{\vav}
\test{\zayin}
\test{\het}
\test{\tet}
\test{\yod}
\test{\finalkaf}
\test{\kaf}
\test{\lamed}
\test{\finalmem}
\test{\mem}
\test{\finalnun}
\test{\nun}
\test{\samekh}
\test{\ayin}
\test{\finalpe}
\test{\pe}
\test{\finaltzadik}
\test{\tzadik}
\test{\qof}
\test{\resh}
\test{\shin}
\test{\tav}
\end{tests}
%
% \test{\Qinv}
% \test{\BourbarkiZ}
%\test{\dottruc}
%\test{\dotcurt}
\test{\truc}
\test{\curt}
