User:Tridecal

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}}^{2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+1}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+4}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+5}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+6}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+7}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega }(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega +1}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega +2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega +3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega 2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega 3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega 4}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega 5}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{2}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{2}+1}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{2}+\omega }(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{2}2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{3}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{4}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{5}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega }}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega }+1}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega }+\omega }(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega }2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega +1}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega 2}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega 3}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega 4}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{2}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{2}}2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{2}+1}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{2}+\omega }}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{2}2}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{3}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{4}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{\omega }}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{\omega ^{2}}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{\omega ^{\omega }}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{\omega ^{\omega ^{\omega }}}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{\omega ^{\omega ^{\omega ^{\omega }}}}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\omega ^{\omega ^{\omega ^{\omega ^{\omega ^{\omega }}}}}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\epsilon _{0}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\epsilon _{0}+1}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\epsilon _{0}+2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\epsilon _{0}2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\epsilon _{0}3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}+\omega ^{\epsilon _{0}2}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}4}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}5}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}6}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}}7}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+1$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}+\omega ^{\omega ^{\epsilon _{0}+1}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}+\omega ^{\omega ^{\epsilon _{0}+1}}2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}+\omega ^{\omega ^{\epsilon _{0}+1}}3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}2}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}3}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}4}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+1}5}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+2$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+2}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+2}+\omega ^{\omega ^{\epsilon _{0}+1}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+2}+\omega ^{\omega ^{\epsilon _{0}+1}+1}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+2}2}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+3$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+3}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+4$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+4}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+5$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+5}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+6$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+6}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+7$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+7}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega }}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X+1$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega +1}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X+2$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega +2}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+2X$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega 2}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{2}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{2}}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{3}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{3}}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{4}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{4}}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{\omega }}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{2}}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{\omega ^{2}}}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{X}}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{\omega ^{\omega }}}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{X^{X}}}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{\omega ^{\omega ^{\omega }}}}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{X^{X^{X}}}}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\omega ^{\omega ^{\omega ^{\omega ^{\omega }}}}}}(100)$

Failed to parse (syntax error): {\displaystyle X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}}}} = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}}+\omega ^{\omega ^{\epsilon _{0}+1}}}(100)$

$f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}}+\omega ^{\omega ^{\epsilon _{0}+1}}2}(100)$

Failed to parse (syntax error): {\displaystyle X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}}}} = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}}2}(100)$

Failed to parse (syntax error): {\displaystyle X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}}}} = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}}3}(100)$

Failed to parse (syntax error): {\displaystyle X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+2X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}}}} = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}2}}(100)$

Failed to parse (syntax error): {\displaystyle X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+3X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}}}} = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}3}}(100)$

Failed to parse (syntax error): {\displaystyle X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}+4X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}}}} = $f_{\omega ^{\omega ^{\epsilon _{0}+1}+\epsilon _{0}4}}(100)$

$2X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}2}}(100)$

$3X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}3}}(100)$

$4X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}4}}(100)$

$5X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}5}}(100)$

$6X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+1}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+1}6}}(100)$

$X^{X^{X^{X^{X^{X^{X^{X^{.^{.^{.}}}}}}}}}+2}$ = $f_{\omega ^{\omega ^{\epsilon _{0}+2}}}(100)$