added_tokens.json

{"$pi$": 30522, "$vert$": 30523, "$alpha$": 30524, "$minus$": 30525, "$p$": 30526, "$frac$": 30527, "$q$": 30528, "$lt$": 30529, "$1$": 30530, "$($": 30531, "$2$": 30532, "$supscript$": 30533, "$)$": 30534, "$varepsilon$": 30535, "$X$": 30536, "$subscript$": 30537, "${$": 30538, "$n$": 30539, "$}$": 30540, "$V$": 30541, "$a$": 30542, "$r$": 30543, "$rightarrow$": 30544, "$infty$": 30545, "$Omega$": 30546, "$equal$": 30547, "$[$": 30548, "$comma$": 30549, "$]$": 30550, "$omega$": 30551, "$\\begin{cases}$": 30552, "$column$": 30553, "$0$": 30554, "$le$": 30555, "$x$": 30556, "$row$": 30557, "$ast$": 30558, "$\\end{cases}$": 30559, "$qquad$": 30560, "$in$": 30561, "$E$": 30562, "$to$": 30563, "$L$": 30564, "$phi$": 30565, "$colon$": 30566, "$Z$": 30567, "$i$": 30568, "$5$": 30569, "$plus$": 30570, "$cong$": 30571, "$b$": 30572, "$mod$": 30573, "$ker$": 30574, "$mapsto$": 30575, "$equiv$": 30576, "$subset$": 30577, "$F$": 30578, "$y$": 30579, "$z$": 30580, "$sin$": 30581, "$times$": 30582, "$cos$": 30583, "$t$": 30584, "$.$": 30585, "$fact$": 30586, "$3$": 30587, "$dots$": 30588, "$k$": 30589, "$P$": 30590, "$sum$": 30591, "$gt$": 30592, "$\\left($": 30593, "$\\right)$": 30594, "$m$": 30595, "$ldots$": 30596, "$9$": 30597, "$f$": 30598, "$leftarrow$": 30599, "$prime$": 30600, "$h$": 30601, "$approx$": 30602, "$root$": 30603, "$pm$": 30604, "$c$": 30605, "$d$": 30606, "$beta$": 30607, "$ge$": 30608, "$g$": 30609, "$epsilon$": 30610, "$e$": 30611, "$j$": 30612, "$U$": 30613, "$N$": 30614, "$R$": 30615, "$aleph$": 30616, "$neq$": 30617, "$cdots$": 30618, "$lambda$": 30619, "$mu$": 30620, "$nu$": 30621, "$I$": 30622, "$geq$": 30623, "$M$": 30624, "$\\{$": 30625, "$\\}$": 30626, "$S$": 30627, "$J$": 30628, "$subseteq$": 30629, "$max$": 30630, "$kappa$": 30631, "$oplus$": 30632, "$v$": 30633, "$s$": 30634, "$A$": 30635, "$B$": 30636, "$C$": 30637, "$D$": 30638, "$dim$": 30639, "$prod$": 30640, "$8$": 30641, "$circ$": 30642, "$4$": 30643, "$7$": 30644, "$forall$": 30645, "$Vert$": 30646, "$ne$": 30647, "$O$": 30648, "$u$": 30649, "$o$": 30650, "$l$": 30651, "$w$": 30652, "$W$": 30653, "$T$": 30654, "$arg$": 30655, "$exp$": 30656, "$6$": 30657, "$\\begin{pmatrix}$": 30658, "$\\end{pmatrix}$": 30659, "$theta$": 30660, "$tan$": 30661, "$semicolon$": 30662, "$Y$": 30663, "$quad$": 30664, "$newline$": 30665, "$ni$": 30666, "$cup$": 30667, "$G$": 30668, "$varpi$": 30669, "$vee$": 30670, "$langle$": 30671, "$rangle$": 30672, "$delta$": 30673, "$Q$": 30674, "$gg$": 30675, "$log$": 30676, "$\\lceil$": 30677, "$\\rceil$": 30678, "$\\begin{array}$": 30679, "$\\end{array}$": 30680, "$Leftarrow$": 30681, "$Rightarrow$": 30682, "$Pr$": 30683, "$bigcap$": 30684, "$sim$": 30685, "$lim$": 30686, "$\\left [$": 30687, "$\\right ]$": 30688, "$\\left ($": 30689, "$\\right )$": 30690, "$longmapsto$": 30691, "$rvect$": 30692, "$rho$": 30693, "$int$": 30694, "$nabla$": 30695, "$K$": 30696, "$sigma$": 30697, "$H$": 30698, "$cap$": 30699, "$Delta$": 30700, "$iff$": 30701, "$\\over$": 30702, "$Lambda$": 30703, "$wedge$": 30704, "$bigoplus$": 30705, "$otimes$": 30706, "$ln$": 30707, "$iota$": 30708, "$partial$": 30709, "$\\begin{bmatrix}$": 30710, "$\\end{bmatrix}$": 30711, "$\\left\\langle$": 30712, "$\\right\\rangle$": 30713, "$\\left\\$": 30714, "$\\right\\$": 30715, "$\\left|$": 30716, "$\\right|$": 30717, "$chi$": 30718, "$\\left.$": 30719, "$psi$": 30720, "$Gamma$": 30721, "$cot$": 30722, "$\\left[$": 30723, "$\\right]$": 30724, "$zeta$": 30725, "$xrightarrow$": 30726, "$setminus$": 30727, "$unlhd$": 30728, "$xi$": 30729, "$ll$": 30730, "$implies$": 30731, "$uparrow$": 30732, "$\\underbrace$": 30733, "$cr$": 30734, "$Longleftrightarrow$": 30735, "$tau$": 30736, "$mid$": 30737, "$varphi$": 30738, "$geqslant$": 30739, "$angle$": 30740, "$Longrightarrow$": 30741, "$exists$": 30742, "$inf$": 30743, "$sup$": 30744, "$\\begin{matrix}$": 30745, "$\\end{matrix}$": 30746, "$gamma$": 30747, "$top$": 30748, "$bot$": 30749, "$simeq$": 30750, "$det$": 30751, "$\\right/$": 30752, "$\\overset$": 30753, "$longrightarrow$": 30754, "$longleftrightarrow$": 30755, "$emptyset$": 30756, "$\\stackrel$": 30757, "$\\left\\{$": 30758, "$\\lfloor$": 30759, "$\\rfloor$": 30760, "$\\right.$": 30761, "$binom$": 30762, "$ell$": 30763, "$sec$": 30764, "$\\$": 30765, "$^$": 30766, "$arccos$": 30767, "$vdots$": 30768, "$ddots$": 30769, "$Pi$": 30770, "$\\right\\}$": 30771, "$leqslant$": 30772, "$eta$": 30773, "$\\begin{smallmatrix}$": 30774, "$\\end{smallmatrix}$": 30775, "$Phi$": 30776, "$percent$": 30777, "$oint$": 30778, "$*$": 30779, "$min$": 30780, "$hbar$": 30781, "$ $": 30782, "$ddot$": 30783, "$varnothing$": 30784, "$cosh$": 30785, "$downarrow$": 30786, "$gcd$": 30787, "$rightarrowtail$": 30788, "$supset$": 30789, "$\\underset$": 30790, "$bigcup$": 30791, "$preceq$": 30792, "$\\array{$": 30793, "$triangleq$": 30794, "$Leftrightarrow$": 30795, "$Sigma$": 30796, "$arctan$": 30797, "$arcsin$": 30798, "$sinh$": 30799, "$triangle$": 30800, "$coprod$": 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"$\\left$": 30905, "$\\right$": 30906, "$bigtriangledown$": 30907, "$varliminf$": 30908, "$varlimsup$": 30909, "$…$": 30910, "$atop$": 30911, "$\\overbrace$": 30912, "$’$": 30913, "$\\left \\langle$": 30914, "$\\right \\rangle$": 30915, "$√$": 30916, "$|$": 30917, "$×$": 30918, "$gets$": 30919, "$\n$": 30920, "$vartriangleleft$": 30921, "$∈$": 30922, "$≥$": 30923, "$;$": 30924, "$iiint$": 30925, "$varinjlim$": 30926, "$varprojlim$": 30927, "$bigotimes$": 30928, "$varrho$": 30929, "$gtrsim$": 30930, "$lesssim$": 30931, "$π$": 30932, "$\\left \\$": 30933, "$\\right \\$": 30934, "$bigsqcup$": 30935, "$supsetneq$": 30936, "$curvearrowright$": 30937, "$º$": 30938, "$dotso$": 30939, "$preccurlyeq$": 30940, "$imath$": 30941, "$omicron$": 30942, "$nRightarrow$": 30943, "$lneq$": 30944, "$upharpoonright$": 30945, "$Updownarrow$": 30946, "$°$": 30947, "$nsubseteq$": 30948, "$Downarrow$": 30949, "$enspace$": 30950, "$geqq$": 30951, "$longleftarrow$": 30952, "$rightrightarrows$": 30953, "$≡$": 30954, "$–$": 30955, "$uplus$": 30956, "$⋯$": 30957, "$Xi$": 30958, "$owns$": 30959, "$∅$": 30960, "$ $": 30961, "$rightsquigarrow$": 30962, "$vartriangle$": 30963, "$trianglerighteq$": 30964, "$amalg$": 30965, "$⋅$": 30966, "$frown$": 30967, "$jmath$": 30968, "$𝑘$": 30969, "$²$": 30970, "$\\left <$": 30971, "$\\right >$": 30972, "$\\begin{Vmatrix}$": 30973, "$\\end{Vmatrix}$": 30974, "$𝑋$": 30975, "$̅$": 30976, "$”$": 30977, "$“$": 30978, "$μ$": 30979, "$σ$": 30980, "$beth$": 30981, "$sphericalangle$": 30982, "$Subset$": 30983, "$nrightarrow$": 30984, "$Beta$": 30985, "$gtrapprox$": 30986, "$lessapprox$": 30987, "$⊨$": 30988, "$β$": 30989, "$∧$": 30990, "$→$": 30991, "$bigvee$": 30992, "$nsim$": 30993, "$∗$": 30994, "$swarrow$": 30995, "$asymp$": 30996, "$bigodot$": 30997, "$dotsi$": 30998, "$λ$": 30999, "$\\left  |$": 31000, "$intop$": 31001, "$ϕ$": 31002, "$?$": 31003, "$sqsupset$": 31004, "$\\left \\lceil$": 31005, "$\\right \\rceil$": 31006, "$empty$": 31007, "$α$": 31008, "$\\begin{Bmatrix}$": 31009, "$\\end{Bmatrix}$": 31010, "$rightleftharpoons$": 31011, "$\\left .$": 31012, "$smallint$": 31013, "$′$": 31014, "$'$": 31015, "$gtrless$": 31016, "$%$": 31017, "$≈$": 31018, "$ngtr$": 31019, "$\\lbrack$": 31020, "$arrowvert$": 31021, "$‖$": 31022, "$◦$": 31023, "$xleftarrow$": 31024, "$\\left  \\{$": 31025, "$\\right  \\}$": 31026, "$varDelta$": 31027, "$looparrowright$": 31028, "$nge$": 31029, "$gneq$": 31030, "$\\left\\downarrow$": 31031, "$∂$": 31032, "$ℤ$": 31033, "$>$": 31034, "$Upsilon$": 31035, "$:$": 31036, "$⊆$": 31037, "$subsetneqq$": 31038, "$idotsint$": 31039, "$nless$": 31040, "$nprec$": 31041, "$nwarrow$": 31042, "$circlearrowright$": 31043, "$∞$": 31044, "$ominus$": 31045, "$\\left/$": 31046, "$⇒$": 31047, "$succcurlyeq$": 31048, "$Tau$": 31049, "$γ$": 31050, "$sqsubseteq$": 31051, "$φ$": 31052, "$ħ$": 31053, "$dddot$": 31054, "$precsim$": 31055, "$Φ$": 31056, "$ε$": 31057, "$∘$": 31058, "$⊕$": 31059, "$divideontimes$": 31060, "$Δ$": 31061, "$triangleright$": 31062, "$κ$": 31063, "$~$": 31064, "$☆$": 31065, "$sqcap$": 31066, "$\\right   )$": 31067, "$lessdot$": 31068, "$‎$": 31069, "$nsupseteq$": 31070, "$nleqslant$": 31071, "$\\left /$": 31072, "$⌋$": 31073, "$varsubsetneq$": 31074, "$\\rbrack$": 31075, "$rightharpoondown$": 31076, "$\\right .$": 31077, "$succsim$": 31078, "$∇$": 31079, "$¬$": 31080, "$leftleftarrows$": 31081, "$varsupsetneq$": 31082, "$÷$": 31083, "$iddots$": 31084, "$∃$": 31085, "$⨁$": 31086, "$⟩$": 31087, "$ω$": 31088, "$τ$": 31089, "$ζ$": 31090, "$varGamma$": 31091, "$sqsubset$": 31092, "$（$": 31093, "$＝$": 31094, "$downharpoonright$": 31095, "$士$": 31096, "$sqsupseteq$": 31097, "$varsigma$": 31098, "$\\right     .$": 31099, "$veebar$": 31100, "$ddddot$": 31101, "$ $": 31102, "$circlearrowleft$": 31103, "$leftrightarrows$": 31104, "$\\right    )$": 31105, "$thickapprox$": 31106, "$npreceq$": 31107, "$biguplus$": 31108, "$≃$": 31109, "$Cap$": 31110, "$∀$": 31111, "$​$": 31112, "$supsetneqq$": 31113, "$Rrightarrow$": 31114, "$δ$": 31115, "$smallfrown$": 31116, "$Ω$": 31117, "$Chi$": 31118, "$multimap$": 31119, "$varPhi$": 31120, "$∼$": 31121, "$subseteqq$": 31122, "$hookleftarrow$": 31123, "$ℝ$": 31124, "$rightleftarrows$": 31125, "$nparallel$": 31126, "$#$": 31127, "$nsucc$": 31128, "$ggg$": 31129, "$vartriangleright$": 31130, "$varpropto$": 31131, "$𝑎$": 31132, "$∫$": 31133, "$⊥$": 31134, "$\\left  ($": 31135, "$∨$": 31136, "$\t$": 31137, "$\\right    ]$": 31138, "$\\left  [$": 31139, "$↯$": 31140, "$\\left \\lgroup$": 31141, "$\\right \\rgroup$": 31142, "$∆$": 31143, "$\\left  \\$": 31144, "$≠$": 31145, "$leftrightsquigarrow$": 31146, "$\\right  )$": 31147, "$Lsh$": 31148, "$\\lgroup$": 31149, "$\\rgroup$": 31150, "$𝑥$": 31151, "$mho$": 31152, "$█$": 31153, "$ß$": 31154, "$upharpoonleft$": 31155, "$eth$": 31156, "$nLeftarrow$": 31157, "$⠀$": 31158, "$smallsmile$": 31159, "$⊂$": 31160, "$ϵ$": 31161, "$nLeftrightarrow$": 31162, "$—$": 31163, "$iiiint$": 31164, "$gneqq$": 31165, "$lneqq$": 31166, "$downdownarrows$": 31167, "$€$": 31168, "$varkappa$": 31169, "$ν$": 31170, "$〗$": 31171, "$ψ$": 31172, "$ˆ$": 31173, "$ⁿ$": 31174, "$backsimeq$": 31175, "$\r$": 31176, "$𝑦$": 31177, "$𝑛$": 31178, "$𝑟$": 31179, "$𝜃$": 31180, "$𝑜$": 31181, "$𝑡$": 31182, "$barwedge$": 31183, "$unrhd$": 31184, "$bowtie$": 31185, "$backepsilon$": 31186, "$@$": 31187, "$bracevert$": 31188, "$∠$": 31189, "$\\right  \\rfloor$": 31190, "$∣$": 31191, "$∡$": 31192, "$\\left  \\lfloor$": 31193, "$precneqq$": 31194, "$´$": 31195, "$\\left\\lgroup$": 31196, "$\\right\\rgroup$": 31197, "$\\left  \\langle$": 31198, "$\"$": 31199, "$у$": 31200, "$а$": 31201, "$х$": 31202, "$\\lmoustache$": 31203, "$Arrowvert$": 31204, "$\\right   \\}$": 31205, "$∥$": 31206, "$𝛼$": 31207, "$⟨$": 31208, "$下$": 31209, "$\\right  |$": 31210, "$varSigma$": 31211, "$⇔$": 31212, "$η$": 31213, "$Uparrow$": 31214, "$↔$": 31215, "$³$": 31216, "$ℚ$": 31217, "$𝑒$": 31218, "$‬$": 31219, "$curlywedge$": 31220, "$₃$": 31221, "$𝜔$": 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"$⇝$": 31282, "$∙$": 31283, "$・$": 31284, "$˚$": 31285, "$，$": 31286, "$¹$": 31287, "$Ω$": 31288, "$\\left\\backslash$": 31289, "$ℏ$": 31290, "$⊃$": 31291, "$𝑓$": 31292, "$𝑖$": 31293, "$𝑚$": 31294, "$𝜙$": 31295, "$χ$": 31296, "$supseteqq$": 31297, "$Ʒ$": 31298, "$Join$": 31299, "$𝛽$": 31300, "$𝐶$": 31301, "$𝐵$": 31302, "$₁$": 31303, "$nleftarrow$": 31304, "$injlim$": 31305, "$↦$": 31306, "$⌉$": 31307, "$↓$": 31308, "$ $": 31309, "$ℎ$": 31310, "$∖$": 31311, "$¤$": 31312, "$eqsim$": 31313, "$𝑁$": 31314, "$̸$": 31315, "$curvearrowleft$": 31316, "$succneqq$": 31317, "$\\left\\uparrow$": 31318, "$ℙ$": 31319, "$⁸$": 31320, "$⁷$": 31321, "$leftarrowtail$": 31322, "$∓$": 31323, "$𝑝$": 31324, "$𝑤$": 31325, "$𝑉$": 31326, "$△$": 31327, "$varPi$": 31328, "$upuparrows$": 31329, "$Mu$": 31330, "$Nu$": 31331, "$∋$": 31332, "$gvertneqq$": 31333, "$lvertneqq$": 31334, "$≺$": 31335, "$nsucceq$": 31336, "$gtrdot$": 31337, "$⎯$": 31338, "$⟧$": 31339, "$eqslantless$": 31340, "$⟹$": 31341, "$Θ$": 31342, "$\\right  \\$": 31343, "$𝑠$": 31344, "$⊿$": 31345, "$$": 31346, "$ $": 31347, "$◃$": 31348, "$circeq$": 31349, "$□$": 31350, "$‘$": 31351, "$\\left               ($": 31352, "$∌$": 31353, "$𝑧$": 31354, "$curlyvee$": 31355, "$\\right    \\}$": 31356, "$Supset$": 31357, "$Π$": 31358, "$⁹$": 31359, "$\\right /$": 31360, "$⊔$": 31361, "$𝑀$": 31362, "$\\right   \\rangle$": 31363, "$downharpoonleft$": 31364, "$˘$": 31365, "$\\left    ($": 31366, "$½$": 31367, "$¼$": 31368, "$≅$": 31369, "$\\right  \\rangle$": 31370, "$Kappa$": 31371, "$Epsilon$": 31372, "$ñ$": 31373, "$＜$": 31374, "$\\left    \\{$": 31375, "$⅓$": 31376, "$𝜆$": 31377, "$⌊$": 31378, "$\\left\\updownarrow$": 31379, "$̃$": 31380, "$$": 31381, "$Zeta$": 31382, "$varTheta$": 31383, "$\\right                                          )$": 31384, "$〖$": 31385, "$∴$": 31386, "$𝜌$": 31387, "$𝔼$": 31388, "$é$": 31389, "$⊤$": 31390, "$¢$": 31391, "$．$": 31392, "$\\right  >$": 31393, "$є$": 31394, "$⁰$": 31395, "$leftharpoonup$": 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