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[1

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[8]
! Undefined control sequence.
l.523 ...(|c_T/c{-}1|\!\le\!10^{-15}\), \(\MstarSq
                                                  \!>\!0\); \(m_T\!\le\!m_T^...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.


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! Undefined control sequence.
l.549 ...(|c_T/c{-}1|\!\le\!10^{-15}\), \(\MstarSq
                                                  >0\); \(m_T\le m_T^{\max}\...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.


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! LaTeX Error: Unknown float option `H'.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.871 \begin{table}[H]
                      
Option `H' ignored and `p' used.

[18 <./figs/r_vs_V14.pdf>]

! LaTeX Error: Unknown float option `H'.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.899 \begin{table}[H]
                      
Option `H' ignored and `p' used.


! LaTeX Error: Unknown float option `H'.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.922 \begin{table}[H]
                      
Option `H' ignored and `p' used.

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! LaTeX Error: Unknown float option `H'.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1097 \begin{table}[H]
                       
Option `H' ignored and `p' used.


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\c@theorem=\count353
\c@lemma=\count354
\c@proposition=\count355
\c@definition=\count356
Runaway argument?
 \newcommand {\Mpl }{M_{\mathrm {Pl}}} \newcommand {\GHY }{\mathrm {G\ETC.
! Paragraph ended before \align was complete.
<to be read again> 
                   \par 
l.1177 
       
I suspect you've forgotten a `}', causing me to apply this
control sequence to too much text. How can we recover?
My plan is to forget the whole thing and hope for the best.

! Missing $ inserted.
<inserted text> 
                $
l.1177 
       
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.1177 
       
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Missing \endgroup inserted.
<inserted text> 
                \endgroup 
l.1177 
       
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Display math should end with $$.
<to be read again> 
                   \tex_par:D 
l.1177 
       
The `$' that I just saw supposedly matches a previous `$$'.
So I shall assume that you typed `$$' both times.

! Extra }, or forgotten \endgroup.
\@par ... \@noitemerr {\@@par }\fi \else {\@@par }
                                                  \fi 
l.1177 
       
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Misplaced alignment tab character &.
l.1180 &
        = 2\cdot \tfrac{1}{6}\cdot \tfrac{1}{2} - \tfrac{2}{3}\cdot \tfrac{1...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Missing $ inserted.
<inserted text> 
                $
l.1180 &= 2\cdot
                 \tfrac{1}{6}\cdot \tfrac{1}{2} - \tfrac{2}{3}\cdot \tfrac{1...
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1180 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Missing $ inserted.
<inserted text> 
                $
l.1180 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.1180 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Extra }, or forgotten \endgroup.
\@par ... \@noitemerr {\@@par }\fi \else {\@@par }
                                                  \fi 
l.1180 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.


! LaTeX Error: \mathcal allowed only in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1181 \mathcal
               {A}[SU(2)^2\!\times\!U(1)_Y]&:\quad 3\Big(\tfrac{1}{6}\Big)\,...
You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

! Missing $ inserted.
<inserted text> 
                $
l.1181 \mathcal{A}[SU(2)^
                         2\!\times\!U(1)_Y]&:\quad 3\Big(\tfrac{1}{6}\Big)\,...
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Misplaced alignment tab character &.
l.1181 \mathcal{A}[SU(2)^2\!\times\!U(1)_Y]&
                                            :\quad 3\Big(\tfrac{1}{6}\Big)\,...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \cr.
\math@cr@@@ ->\cr 
                  
l.1182 \end{align}
                  
I can't figure out why you would want to use a tab mark
or \cr or \span just now. If something like a right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\math@cr@@ ... \iffalse }\fi \math@cr@@@ \noalign 
                                                  {\vskip #1\relax }
l.1182 \end{align}
                  
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Missing $ inserted.
<inserted text> 
                $
l.1182 \end{align}
                  
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.1182 \end{align}
                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Extra }, or forgotten \endgroup.
\math@cr@@ ...th@cr@@@ \noalign {\vskip #1\relax }
                                                  
l.1182 \end{align}
                  
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Misplaced \noalign.
\black@ #1->\noalign 
                     {\ifdim #1>\displaywidth \dimen@ \prevdepth \nointerlin...
l.1182 \end{align}
                  
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.


Overfull \hbox (511.38982pt too wide) detected at line 1182
[]
 []

! Extra }, or forgotten \endgroup.
\endalign ->\math@cr \black@ \totwidth@ \egroup 
                                                \ifingather@ \restorealignst...
l.1182 \end{align}
                  
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing $ inserted.
<inserted text> 
                $
l.1182 \end{align}
                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Display math should end with $$.
<to be read again> 
                   \endgroup 
l.1182 \end{align}
                  
The `$' that I just saw supposedly matches a previous `$$'.
So I shall assume that you typed `$$' both times.

! Undefined control sequence.
<argument> ...ctionAnchorHref {section*.76}3. \SU 
                                                  (5) embedding
l.1193 \subsection*{3. \SU(5) embedding}
                                        
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1194 Each generation in minimal \SU
                                     (5) resides in $\bm{10}\oplus \overline...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1194 ...\oplus \overline{\bm{5}}$. The cubic \SU
                                                  (5) gauge anomaly is propo...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1194 ...aly is proportional to the index $A(\Rep
                                                  )$ defined by $\Tr\big(T^a...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1194 ...by $\Tr\big(T^a\{T^b,T^c\}\big) = A(\Rep
                                                  )\,d^{abc}$:
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1198 ...anomalies vanish by tracelessness of \SU
                                                  (5) generators.
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...ctionAnchorHref {section*.77}4. \SO 
                                                  (10) and E$_6$ embeddings
l.1201 ...ection*{4. \SO(10) and E$_6$ embeddings}
                                                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1202 In \SO
             (10), each generation fits into a single spinor $\bm{16}$ which...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \SO 
                    
l.1202 ...s (e.g. $U(1)_\chi, U(1)_\psi$ from $\SO
                                                  (10)\to SU(5)\times U(1)$ ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[25]
! Undefined control sequence.
<recently read> \Uone 
                      
l.1205 ...*{5. Portal sectors and extra $\Uone_X$}
                                                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \Uone 
                      
l.1206 ...ns charged under an extra abelian $\Uone
                                                  _X$, the necessary and suf...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(2)}(\psi )\big ) = 0 ...
l.1214 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(3)}(\psi )\big ) = 0 ...
l.1214 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(2)}(\psi )\big ) = 0 ...
l.1214 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(3)}(\psi )\big ) = 0 ...
l.1214 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[26]
! Undefined control sequence.
l.1261 ...extbf{Summary.} The SM slice and its \SU
                                                  (5)/\SO(10) embeddings use...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1261 ...ummary.} The SM slice and its \SU(5)/\SO
                                                  (10) embeddings used in UT...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[27]
! Undefined control sequence.
l.1294 S_{\GHY
              }=\Mpl^2\int_{\partial\mathcal{M}} d^3x\,\sqrt{|h|}\,K,
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1296 ...}. Hence $\delta(S_{\mathrm{EH}}+S_{\GHY
                                                  })$ yields the Einstein eq...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1306 ..._{\mu}\nabla_{\nu}f'(R)+g_{\mu\nu}\,\BOX
                                                   f'(R)\Big]\,\delta g^{\mu...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1310 ...bla_{\mu}\nabla_{\nu}R+2g_{\mu\nu}\,\BOX
                                                   R\Big).
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

LaTeX Font Info:    External font `lmex10' loaded for size
(Font)              <14.4> on input line 1316.

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1316.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\leftrightarrow' on input line 1316.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 1316.

[28] [29]

! LaTeX Error: Command \thechapter undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1331 \renewcommand{\thechapter}
                                 {A\arabic{chapter}}
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


Overfull \hbox (16.47568pt too wide) detected at line 1358
[]
 []

<figs/bh_qnm_ringdown.pdf, id=1471, 722.7pt x 433.62pt>
File: figs/bh_qnm_ringdown.pdf Graphic file (type pdf)
<use figs/bh_qnm_ringdown.pdf>
Package pdftex.def Info: figs/bh_qnm_ringdown.pdf  used on input line 1389.
(pdftex.def)             Requested size: 413.3867pt x 248.03273pt.

LaTeX Warning: `!h' float specifier changed to `!ht'.

[30]
<figs/bh_echo_train.pdf, id=1493, 722.7pt x 433.62pt>
File: figs/bh_echo_train.pdf Graphic file (type pdf)
<use figs/bh_echo_train.pdf>
Package pdftex.def Info: figs/bh_echo_train.pdf  used on input line 1416.
(pdftex.def)             Requested size: 413.3867pt x 248.03273pt.

LaTeX Warning: `!h' float specifier changed to `!ht'.

[31 <./figs/bh_qnm_ringdown.pdf>] [32 <./figs/bh_echo_train.pdf>] [33] [34]
Overfull \hbox (75.22362pt too wide) detected at line 1581
[]
 []


! LaTeX Error: Unknown float option `H'.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1596 \begin{table}[H]
                       
Option `H' ignored and `p' used.


Overfull \hbox (35.4732pt too wide) in paragraph at lines 1600--1617
 [][] 
 []

[35] [36]
Runaway argument?
 
! Paragraph ended before \align was complete.
<to be read again> 
                   \par 
l.1678 
       
I suspect you've forgotten a `}', causing me to apply this
control sequence to too much text. How can we recover?
My plan is to forget the whole thing and hope for the best.

! Missing $ inserted.
<inserted text> 
                $
l.1678 
       
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.1678 
       
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Missing \endgroup inserted.
<inserted text> 
                \endgroup 
l.1678 
       
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Display math should end with $$.
<to be read again> 
                   \tex_par:D 
l.1678 
       
The `$' that I just saw supposedly matches a previous `$$'.
So I shall assume that you typed `$$' both times.

! Extra }, or forgotten \endgroup.
\@par ... \@noitemerr {\@@par }\fi \else {\@@par }
                                                  \fi 
l.1678 
       
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Misplaced alignment tab character &.
l.1680 &
        = 2\cdot \tfrac{1}{6}\cdot \tfrac{1}{2} - \tfrac{2}{3}\cdot \tfrac{1...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Missing $ inserted.
<inserted text> 
                $
l.1680 &= 2\cdot
                 \tfrac{1}{6}\cdot \tfrac{1}{2} - \tfrac{2}{3}\cdot \tfrac{1...
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1680 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Missing $ inserted.
<inserted text> 
                $
l.1680 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.1680 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Extra }, or forgotten \endgroup.
\@par ... \@noitemerr {\@@par }\fi \else {\@@par }
                                                  \fi 
l.1680 ...2} + \tfrac{1}{3}\cdot \tfrac{1}{2}=0,\\
                                                  [0.25em]
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.


! LaTeX Error: \mathcal allowed only in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1681 \mathcal
               {A}[SU(2)^2\!\times\!U(1)_Y]&:\quad 3\Big(\tfrac{1}{6}\Big)\,...
You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

! Missing $ inserted.
<inserted text> 
                $
l.1681 \mathcal{A}[SU(2)^
                         2\!\times\!U(1)_Y]&:\quad 3\Big(\tfrac{1}{6}\Big)\,...
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Misplaced alignment tab character &.
l.1681 \mathcal{A}[SU(2)^2\!\times\!U(1)_Y]&
                                            :\quad 3\Big(\tfrac{1}{6}\Big)\,...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \cr.
\math@cr@@@ ->\cr 
                  
l.1682 \end{align}
                  
I can't figure out why you would want to use a tab mark
or \cr or \span just now. If something like a right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\math@cr@@ ... \iffalse }\fi \math@cr@@@ \noalign 
                                                  {\vskip #1\relax }
l.1682 \end{align}
                  
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Missing $ inserted.
<inserted text> 
                $
l.1682 \end{align}
                  
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.1682 \end{align}
                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Extra }, or forgotten \endgroup.
\math@cr@@ ...th@cr@@@ \noalign {\vskip #1\relax }
                                                  
l.1682 \end{align}
                  
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Misplaced \noalign.
\black@ #1->\noalign 
                     {\ifdim #1>\displaywidth \dimen@ \prevdepth \nointerlin...
l.1682 \end{align}
                  
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.


Overfull \hbox (243.90337pt too wide) detected at line 1682
[]
 []

! Extra }, or forgotten \endgroup.
\endalign ->\math@cr \black@ \totwidth@ \egroup 
                                                \ifingather@ \restorealignst...
l.1682 \end{align}
                  
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing $ inserted.
<inserted text> 
                $
l.1682 \end{align}
                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Display math should end with $$.
<to be read again> 
                   \endgroup 
l.1682 \end{align}
                  
The `$' that I just saw supposedly matches a previous `$$'.
So I shall assume that you typed `$$' both times.

[37]
! Undefined control sequence.
<argument> ...tionAnchorHref {section*.110}3. \SU 
                                                  (5) embedding
l.1693 \subsection*{3. \SU(5) embedding}
                                        
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1694 Each generation in minimal \SU
                                     (5) resides in $\bm{10}\oplus \overline...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1694 ...\oplus \overline{\bm{5}}$. The cubic \SU
                                                  (5) gauge anomaly is propo...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1694 ...aly is proportional to the index $A(\Rep
                                                  )$ defined by $\Tr\big(T^a...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1694 ...by $\Tr\big(T^a\{T^b,T^c\}\big) = A(\Rep
                                                  )\,d^{abc}$:
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1698 ...anomalies vanish by tracelessness of \SU
                                                  (5) generators.
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...tionAnchorHref {section*.111}4. \SO 
                                                  (10) and E$_6$ embeddings
l.1701 ...ection*{4. \SO(10) and E$_6$ embeddings}
                                                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1702 In \SO
             (10), each generation fits into a single spinor $\bm{16}$ which...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \SO 
                    
l.1702 ...s (e.g. $U(1)_\chi, U(1)_\psi$ from $\SO
                                                  (10)\to SU(5)\times U(1)$ ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \Uone 
                      
l.1705 ...*{5. Portal sectors and extra $\Uone_X$}
                                                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \Uone 
                      
l.1706 ...ns charged under an extra abelian $\Uone
                                                  _X$, the necessary and suf...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(2)}(\psi )\big ) = 0 ...
l.1714 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(3)}(\psi )\big ) = 0 ...
l.1714 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(2)}(\psi )\big ) = 0 ...
l.1714 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...um _{\psi } q_X(\psi )\,T\big (\Rep 
                                                  _{SU(3)}(\psi )\big ) = 0 ...
l.1714 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[38]
! Undefined control sequence.
l.1761 ...extbf{Summary.} The SM slice and its \SU
                                                  (5)/\SO(10) embeddings use...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.1761 ...ummary.} The SM slice and its \SU(5)/\SO
                                                  (10) embeddings used in UT...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[39] [40] [41] [42] [43] [44] [45] [46]
! Undefined control sequence.
\as ->\ERROR 
             
l.2077 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
\as ->\ERROR 
             
l.2077 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[47]
Overfull \hbox (11.21292pt too wide) in paragraph at lines 2116--2127
 [][] 
 []

[48] [49]
LaTeX Font Info:    Trying to load font information for T1+lmtt on input line 2196.
(/usr/local/texlive/2024/texmf-dist/tex/latex/lm/t1lmtt.fd
File: t1lmtt.fd 2015/05/01 v1.6.1 Font defs for Latin Modern
)
Package microtype Info: Loading generic protrusion settings for font family
(microtype)             `lmtt' (encoding: T1).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.
[50]

! LaTeX Error: Unicode character β (U+03B2)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.2221 Solving the Einstein–Hilbert β
                                        -system with the Litim cutoff, using...
You may provide a definition with
\DeclareUnicodeCharacter 


LaTeX Warning: Citation `Saueressig:2023' on page 51 undefined on input line 2221.

! Undefined control sequence.
l.2241 ...a)=w_0+w_a(1-a)$, matter fractions $(\om
                                                  ,\ob)$ and radiation $\ora...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2241 ..._0+w_a(1-a)$, matter fractions $(\om,\ob
                                                  )$ and radiation $\orad$ f...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \orad 
                      
l.2241 ...actions $(\om,\ob)$ and radiation $\orad
                                                  $ fixed by $T_\gamma$ and ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \hz 
               
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...quiv \frac {H(z)}{\hz } = \Big [\om 
                                                  (1+z)^3 + \orad (1+z)^4 + ...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...}{\hz } = \Big [\om (1+z)^3 + \orad 
                                                  (1+z)^4 + (1-\om -\orad )\...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...om (1+z)^3 + \orad (1+z)^4 + (1-\om 
                                                  -\orad )\,f_{\rm CPL}(z)\B...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...)^3 + \orad (1+z)^4 + (1-\om -\orad 
                                                  )\,f_{\rm CPL}(z)\Big ]^{1...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \hz 
               
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...quiv \frac {H(z)}{\hz } = \Big [\om 
                                                  (1+z)^3 + \orad (1+z)^4 + ...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...}{\hz } = \Big [\om (1+z)^3 + \orad 
                                                  (1+z)^4 + (1-\om -\orad )\...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...om (1+z)^3 + \orad (1+z)^4 + (1-\om 
                                                  -\orad )\,f_{\rm CPL}(z)\B...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...)^3 + \orad (1+z)^4 + (1-\om -\orad 
                                                  )\,f_{\rm CPL}(z)\Big ]^{1...
l.2245 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2248 \DM
          (z) = c\int_0^z \frac{dz'}{H(z')},\qquad \DA(z)=\frac{\DM(z)}{1+z}.
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2248 ...= c\int_0^z \frac{dz'}{H(z')},\qquad \DA
                                                  (z)=\frac{\DM(z)}{1+z}.
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (z)
l.2248 ...{H(z')},\qquad \DA(z)=\frac{\DM(z)}{1+z}
                                                  .
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \zstar 
                       
l.2253 With $\zstar
                   $ the photon-decoupling redshift (use the standard fittin...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  R &= \sqrt {\om 
                            \hz ^2}\,\frac {\DM (\zstar )}{c/\hz }, & \ell _...
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  R &= \sqrt {\om \hz 
                                ^2}\,\frac {\DM (\zstar )}{c/\hz }, & \ell _...
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> c/\hz 
                 
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs 
               (\zstar )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs (\zstar 
                       )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  R &= \sqrt {\om 
                            \hz ^2}\,\frac {\DM (\zstar )}{c/\hz }, & \ell _...
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  R &= \sqrt {\om \hz 
                                ^2}\,\frac {\DM (\zstar )}{c/\hz }, & \ell _...
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> c/\hz 
                 
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs 
               (\zstar )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs (\zstar 
                       )
l.2256 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[51]
! Undefined control sequence.
l.2259 \rs
          (z) = \int_z^{\infty} \frac{c_s(z')}{H(z')}\,dz', \qquad c_s(z)=\f...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2259 ...\frac{3\rho_b}{4\rho_\gamma} \propto \ob
                                                  (1+z)^{-1}.
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \DV 
                    
l.2265 ...use either the spherically averaged $\DV
                                                  $ or the anisotropic pair ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2265 ...aged $\DV$ or the anisotropic pair $(\DM
                                                  , H)$:
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2267 \DV
          (z) = \Big[\DM^2(z)\,\frac{cz}{H(z)}\Big]^{1/3},\qquad \text{or}\q...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2267 \DV(z) = \Big[\DM
                        ^2(z)\,\frac{cz}{H(z)}\Big]^{1/3},\qquad \text{or}\q...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (z)
l.2267 ... \text{or}\qquad \Big(\frac{\DM(z)}{\rs}
                                                  ,\ \frac{H(z)\,\rs}{c}\Big).
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs 
               
l.2267 ... \text{or}\qquad \Big(\frac{\DM(z)}{\rs}
                                                  ,\ \frac{H(z)\,\rs}{c}\Big).
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> H(z)\,\rs 
                     
l.2267 ...\frac{\DM(z)}{\rs},\ \frac{H(z)\,\rs}{c}
                                                  \Big).
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2274 ...D_L/\mathrm{10\,pc})$ with $D_L=(1+z)\DM
                                                  $. The additive absolute-m...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2286 where $\Theta=\{\om
                          ,\ob,\hz, w_0, w_a\}$ (and any extra slice paramet...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2286 where $\Theta=\{\om,\ob
                              ,\hz, w_0, w_a\}$ (and any extra slice paramet...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.2286 where $\Theta=\{\om,\ob,\hz
                                  , w_0, w_a\}$ (and any extra slice paramet...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \om 
                      
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \om 
               
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \hz 
                      
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \hz 
               
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM 
                      (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM (\zstar 
                              )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM 
                      (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM (\zstar 
                              )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \rs 
                      
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs 
               
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \om 
                      
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \om 
               
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \hz 
                      
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \hz 
               
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM 
                      (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM (\zstar 
                              )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM 
                      (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \DM (\zstar 
                              )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM 
               (\zstar )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \DM (\zstar 
                       )
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \delta \rs 
                      
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \rs 
               
l.2294 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \DM 
                    
l.2297 \delta\ln\DM
                   (z) = -\frac{\int_0^z dz'\,\delta E(z')/E(z')^2}{\int_0^z...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.


Overfull \hbox (35.05934pt too wide) detected at line 2298
[][][]\OML/lmm/m/it/10.95 ^^N []\OT1/lmr/m/n/10.95 (\OML/lmm/m/it/10.95 z\OT1/lmr/m/n/10.95 ) = \OMS/lmsy/m/n/10.95 ^^@[]\OML/lmm/m/it/10.95 ;  [] \OT1/lmr/m/n/10.95 = [] \OML/lmm/m/it/10.95 f[]\OT1/lmr/m/n/10.95 (\OML/lmm/m/it/10.95 z\OT1/lmr/m/n/10.95 )\OML/lmm/m/it/10.95 ;  [] \OT1/lmr/m/n/10.95 = [] \OML/lmm/m/it/10.95 f[]\OT1/lmr/m/n/10.95 (\OML/lmm/m/it/10.95 z\OT1/lmr/m/n/10.95 )\OML/lmm/m/it/10.95 :
 []

! Undefined control sequence.
<recently read> \rs 
                    
l.2299 ...eading sensitivities are $\partial\ln\rs
                                                  /\partial\ln(\ob h^2)\sime...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...lue-}{}{^{-NoValue-}} \argopen (\ob 
                                                  h^2\argclose )
l.2299 ...are $\partial\ln\rs/\partial\ln(\ob h^2)
                                                  \simeq -\tfrac12(1+R_*)^{-...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \rs 
                    
l.2299 ...tfrac12(1+R_*)^{-1}$ and $\partial\ln\rs
                                                  /\partial\ln(\om h^2)\sime...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...lue-}{}{^{-NoValue-}} \argopen (\om 
                                                  h^2\argclose )
l.2299 ...and $\partial\ln\rs/\partial\ln(\om h^2)
                                                  \simeq -\tfrac14$ at the p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[52]
! Undefined control sequence.
<recently read> \DM 
                    
l.2305 \item Implement $E(z)$, $\DM
                                   $, $\rs$, $\{R,\ell_A\}$, and BAO observa...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \rs 
                    
l.2305 \item Implement $E(z)$, $\DM$, $\rs
                                          $, $\{R,\ell_A\}$, and BAO observa...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Missing $ inserted.
<inserted text> 
                $
l.2310 ion*{Compressed Cosmology Gate — PASS (N_
                                                  {\rm eff} free)}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Extra }, or forgotten $.
l.2310 ...mology Gate — PASS (N_{\rm eff} free)}
                                                  
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.


! LaTeX Error: Bad math environment delimiter.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.2311 ...t setup:} Planck 2018 distance priors \(
                                                  (R,\ell_A,\omega_b,\omega_...
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Missing $ inserted.
<inserted text> 
                $
l.2358 m_
         e + m_\nu \;<\; (m_n - m_p) \;<\; B_d - (m_e + m_\nu).
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing $ inserted.
<inserted text> 
                $
l.2359 
       
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text> 
                }
l.2359 
       
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

[53]
! Missing { inserted.
<to be read again> 
                   \discretionary 
l.2406 ... t_{\rm echo}\simeq \frac{2}{c}\Big[r^\*
                                                  (r_0)-r^\*(r_{\rm peak})\B...
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing `I}' now.)

! Missing { inserted.
<to be read again> 
                   \discretionary 
l.2406 ...ho}\simeq \frac{2}{c}\Big[r^\*(r_0)-r^\*
                                                  (r_{\rm peak})\Big],\qquad
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing `I}' now.)

! Missing { inserted.
<to be read again> 
                   \discretionary 
l.2407 r^\*
           (r)=r+2M\ln\!\left(\frac{r}{2M}-1\right),
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing `I}' now.)

! Missing } inserted.
<inserted text> 
                }
l.2408 \]
         
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Missing } inserted.
<inserted text> 
                }
l.2408 \]
         
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

! Missing } inserted.
<inserted text> 
                }
l.2408 \]
         
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

[54]
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<figs/ai_utfanswf_learning.pdf, id=2208, 449.7004pt x 339.49335pt>
File: figs/ai_utfanswf_learning.pdf Graphic file (type pdf)
<use figs/ai_utfanswf_learning.pdf>
Package pdftex.def Info: figs/ai_utfanswf_learning.pdf  used on input line 3796.
(pdftex.def)             Requested size: 305.33789pt x 230.51051pt.

LaTeX Warning: `!h' float specifier changed to `!ht'.

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Package hyperref Warning: Token not allowed in a PDF string (Unicode):
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! LaTeX Error: Unicode character γ (U+03B3)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4234 ...eck Ω_a h^2<=0.12; intersect coverage",
                                                  
You may provide a definition with
\DeclareUnicodeCharacter 


! LaTeX Error: Unicode character γ (U+03B3)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4234 ...eck Ω_a h^2<=0.12; intersect coverage",
                                                  
You may provide a definition with
\DeclareUnicodeCharacter 


! LaTeX Error: Unicode character Ω (U+03A9)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4234 ...eck Ω_a h^2<=0.12; intersect coverage",
                                                  
You may provide a definition with
\DeclareUnicodeCharacter 


! LaTeX Error: Unicode character Σ (U+03A3)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4242 ...sandwich","inputs":{"Sigma":"ledger Σ",
                                                  
You may provide a definition with
\DeclareUnicodeCharacter 


! LaTeX Error: Unicode character Σ (U+03A3)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4243 ...radius","Sigma_cov":"Σ for couplings"},
                                                  
You may provide a definition with
\DeclareUnicodeCharacter 


! LaTeX Error: Unicode character ε (U+03B5)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4244 ... bounds; max spectral radius <= 1-ε_m",
                                                  
You may provide a definition with
\DeclareUnicodeCharacter 


Overfull \hbox (1.64113pt too wide) in paragraph at lines 4245--4245
[]\T1/lmtt/m/n/10.95 "context":"SCHEMA","tier":"Diagnostic","verdict":"EXAMPLE","notes":"store s_min^L,[] 
 []

[86]

! LaTeX Error: Unicode character ρ (U+03C1)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4246 s_min^U, ρ_max"}
                        
You may provide a definition with
\DeclareUnicodeCharacter 

[87]

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[88]
! Extra alignment tab has been changed to \cr.
<recently read> \endtemplate 
                             
l.4384     &
              $ $ &  $ $ &  $ $ & JPA run \\
You have given more \span or & marks than there were
in the preamble to the \halign or \valign now in progress.
So I'll assume that you meant to type \cr instead.

! Extra alignment tab has been changed to \cr.
<recently read> \endtemplate 
                             
l.4386     &
              $ $ &  $ $ &  $ $ & receiver \\
You have given more \span or & marks than there were
in the preamble to the \halign or \valign now in progress.
So I'll assume that you meant to type \cr instead.

! Extra alignment tab has been changed to \cr.
<recently read> \endtemplate 
                             
l.4388     &
              $ $ &  $ $ &  $ $ & hybrid reach \\
You have given more \span or & marks than there were
in the preamble to the \halign or \valign now in progress.
So I'll assume that you meant to type \cr instead.

! Extra alignment tab has been changed to \cr.
<recently read> \endtemplate 
                             
l.4390     &
              $ $ &  $ $ &  $ $ & cavity \\
You have given more \span or & marks than there were
in the preamble to the \halign or \valign now in progress.
So I'll assume that you meant to type \cr instead.

! Extra alignment tab has been changed to \cr.
<recently read> \endtemplate 
                             
l.4392     &
              $ $ &  $ $ &  $ $ & dipole; HTS coatings \\
You have given more \span or & marks than there were
in the preamble to the \halign or \valign now in progress.
So I'll assume that you meant to type \cr instead.


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Overfull \hbox (42.58156pt too wide) detected at line 4803
[] \OMS/lmsy/m/n/10.95 ! []\OT1/lmr/m/n/10.95 ;  [][] \OMS/lmsy/m/n/10.95 ! []\OML/lmm/m/it/10.95 :
 []

! Undefined control sequence.
l.4817 ... trial unification scale $\mu \simeq \MU
                                                  $,
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MHC 
                
l.4825 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               
l.4825 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MSig 
                 
l.4825 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MHC 
                
l.4825 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               
l.4825 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MSig 
                 
l.4825 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MHC 
                
l.4831 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               
l.4831 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MSig 
                 
l.4831 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MHC 
                
l.4831 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               
l.4831 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MSig 
                 
l.4831 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.4832 with $\rho \equiv \MSig
                              /\MX$ parameterizing the line of unification s...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.4832 with $\rho \equiv \MSig/\MX
                                  $ parameterizing the line of unification s...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  \MSUSY 
                   &= \SI {3}{\tera \electronvolt }, \qquad \MU \simeq \SI {...
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...}{\tera \electronvolt }, \qquad \MU 
                                                  \simeq \SI {9.8e15}{\giga ...
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...giga \electronvolt }, \qquad \alphU 
                                                  ^{-1} \simeq 25.9, \qquad ...
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MSig 
                 
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  \MSUSY 
                   &= \SI {3}{\tera \electronvolt }, \qquad \MU \simeq \SI {...
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...}{\tera \electronvolt }, \qquad \MU 
                                                  \simeq \SI {9.8e15}{\giga ...
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...giga \electronvolt }, \qquad \alphU 
                                                  ^{-1} \simeq 25.9, \qquad ...
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MSig 
                 
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               
l.4844 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  \MX 
                &\simeq \SI {1.11e16}{\giga \electronvolt }, \qquad \MSig \s...
l.4850 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...\giga \electronvolt }, \qquad \MSig 
                                                  \simeq \SI {1.73e16}{\giga...
l.4850 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...{\giga \electronvolt }, \qquad \MHC 
                                                  \simeq \SI {1.08e18}{\giga...
l.4850 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument>  \MX 
                &\simeq \SI {1.11e16}{\giga \electronvolt }, \qquad \MSig \s...
l.4850 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...\giga \electronvolt }, \qquad \MSig 
                                                  \simeq \SI {1.73e16}{\giga...
l.4850 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> ...{\giga \electronvolt }, \qquad \MHC 
                                                  \simeq \SI {1.08e18}{\giga...
l.4850 \end{align*}
                   
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[97]
! Undefined control sequence.
<argument> \MX 
               ^4
l.4857 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \alphU 
                  ^2
l.4857 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MX 
               ^4
l.4857 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \alphU 
                  ^2
l.4857 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MX 
                    
l.4858 so that $\MX
                    \gtrsim 10^{16}\GeV$ with $\alphU^{-1}\simeq 26$ is comf...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
\GeV ->\ERROR 
              
l.4858 so that $\MX \gtrsim 10^{16}\GeV
                                       $ with $\alphU^{-1}\simeq 26$ is comf...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \alphU 
                       
l.4858 ...t $\MX \gtrsim 10^{16}\GeV$ with $\alphU
                                                  ^{-1}\simeq 26$ is comfort...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.4859 $p\to e^+\pi^0$ (order $10^{34}\yr
                                         $).\medskip
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MHC 
                ^2
l.4864 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \MHC 
                ^2
l.4864 \end{align}
                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MHC 
                     
l.4865 ... $r$ the SUSY dressing factor. For $\MHC
                                                   \sim 10^{18}\GeV$ and typ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
\GeV ->\ERROR 
              
l.4865 ...ssing factor. For $\MHC \sim 10^{18}\GeV
                                                  $ and typical spectra yiel...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.


! LaTeX Error: Environment tabularx undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4874 \begin{tabularx}
                       {\linewidth}{@{} l >{\raggedright\arraybackslash}X c ...
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Missing number, treated as zero.
<to be read again> 
                   }
l.4874 \begin{tabularx}{\linewidth}
                                   {@{} l >{\raggedright\arraybackslash}X c ...
A number should have been here; I inserted `0'.
(If you can't figure out why I needed to see a number,
look up `weird error' in the index to The TeXbook.)

! Illegal unit of measure (pt inserted).
<to be read again> 
                   }
l.4874 \begin{tabularx}{\linewidth}
                                   {@{} l >{\raggedright\arraybackslash}X c ...
Dimensions can be in units of em, ex, in, pt, pc,
cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one!
I'll assume that you meant to say pt, for printer's points.
To recover gracefully from this error, it's best to
delete the erroneous units; e.g., type `2' to delete
two letters. (See Chapter 27 of The TeXbook.)

! Misplaced \noalign.
\toprule ->\noalign 
                    {\ifnum 0=`}\fi \@aboverulesep =\abovetopsep \global \@b...
l.4875 \toprule
               
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Misplaced alignment tab character &.
l.4876 \textbf{Gate} &
                       \textbf{Criterion / Inputs (this slice)} & \textbf{Re...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.4876 ...extbf{Criterion / Inputs (this slice)} &
                                                   \textbf{Result} \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\midrule ->\noalign 
                    {\ifnum 0=`}\fi \@aboverulesep =\aboverulesep \global \@...
l.4877 \midrule
               
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Misplaced alignment tab character &.
l.4879 &
         $\MSUSY=\SI{3}{TeV}$,\; $\MU\simeq \SI{9.8e15}{GeV}$,\; $\alphU^{-1...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Undefined control sequence.
<recently read> \MSUSY 
                       
l.4879 & $\MSUSY
                =\SI{3}{TeV}$,\; $\MU\simeq \SI{9.8e15}{GeV}$,\; $\alphU^{-1...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MU 
                    
l.4879 & $\MSUSY=\SI{3}{TeV}$,\; $\MU
                                     \simeq \SI{9.8e15}{GeV}$,\; $\alphU^{-1...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \alphU 
                       
l.4879 ... $\MU\simeq \SI{9.8e15}{GeV}$,\; $\alphU
                                                  ^{-1}\simeq 25.9$,
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MX 
                    
l.4880 $\MX
           \simeq \SI{1.11e16}{GeV}$,\; $\MSig\simeq \SI{1.73e16}{GeV}$,\; $...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MSig 
                      
l.4880 $\MX\simeq \SI{1.11e16}{GeV}$,\; $\MSig
                                              \simeq \SI{1.73e16}{GeV}$,\; $...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MHC 
                     
l.4880 ...$\MSig\simeq \SI{1.73e16}{GeV}$,\; $\MHC
                                                  \simeq \SI{1.08e18}{GeV}$
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Misplaced alignment tab character &.
l.4881 &
         \textbf{PASS} \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\addlinespace ->\noalign 
                         {\ifnum 0=`}\fi \@ifnextchar [{\@addspace }{\@addsp...
l.4882 \addlinespace
                    [2pt]
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Misplaced alignment tab character &.
l.4884 &
         $\tau_p^{(D6)}\!\propto\! \MX^4/\alphU^2$;\; $\MX\sim 10^{16}\GeV$;...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Undefined control sequence.
l.4884 & $\tau_p^{(D6)}\!\propto\! \MX
                                      ^4/\alphU^2$;\; $\MX\sim 10^{16}\GeV$;...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.4884 & $\tau_p^{(D6)}\!\propto\! \MX^4/\alphU
                                               ^2$;\; $\MX\sim 10^{16}\GeV$;...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MX 
                    
l.4884 ...(D6)}\!\propto\! \MX^4/\alphU^2$;\; $\MX
                                                  \sim 10^{16}\GeV$;\; clear...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
\GeV ->\ERROR 
              
l.4884 ... \MX^4/\alphU^2$;\; $\MX\sim 10^{16}\GeV
                                                  $;\; clears $>10^{34}\yr$ ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.4884 ...\sim 10^{16}\GeV$;\; clears $>10^{34}\yr
                                                  $ bounds
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Misplaced alignment tab character &.
l.4885 &
         \textbf{PASS} \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\addlinespace ->\noalign 
                         {\ifnum 0=`}\fi \@ifnextchar [{\@addspace }{\@addsp...
l.4886 \addlinespace
                    [2pt]
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Misplaced alignment tab character &.
l.4888 &
         $\tau_p^{(D5)}\!\propto\! \MHC^2/r^2$;\; $\MHC\sim 10^{18}\GeV$;\; ...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Undefined control sequence.
l.4888 & $\tau_p^{(D5)}\!\propto\! \MHC
                                       ^2/r^2$;\; $\MHC\sim 10^{18}\GeV$;\; ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<recently read> \MHC 
                     
l.4888 ...p^{(D5)}\!\propto\! \MHC^2/r^2$;\; $\MHC
                                                  \sim 10^{18}\GeV$;\; safe ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
\GeV ->\ERROR 
              
l.4888 ...o\! \MHC^2/r^2$;\; $\MHC\sim 10^{18}\GeV
                                                  $;\; safe for $r\lesssim 0.3$
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Misplaced alignment tab character &.
l.4889 &
         \textbf{PASS} \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\addlinespace ->\noalign 
                         {\ifnum 0=`}\fi \@ifnextchar [{\@addspace }{\@addsp...
l.4890 \addlinespace
                    [2pt]
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Misplaced alignment tab character &.
l.4892 &
         A/B1 branches available; Row\,25 repair policy: if strict TCC enfor...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.4893 &
         \textbf{OK} \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\addlinespace ->\noalign 
                         {\ifnum 0=`}\fi \@ifnextchar [{\@addspace }{\@addsp...
l.4894 \addlinespace
                    [2pt]
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.

! Misplaced alignment tab character &.
l.4896 &
         Forward-limit dispersion signs; Cassini $|\gamma-1|<2.3{\times}10^{...
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced alignment tab character &.
l.4897 &
         \textbf{OK} \\
I can't figure out why you would want to use a tab mark
here. If you just want an ampersand, the remedy is
simple: Just type `I\&' now. But if some right brace
up above has ended a previous alignment prematurely,
you're probably due for more error messages, and you
might try typing `S' now just to see what is salvageable.

! Misplaced \noalign.
\bottomrule ->\noalign 
                       {\ifnum 0=`}\fi \@aboverulesep =\aboverulesep \global...
l.4898 \bottomrule
                  
I expect to see \noalign only after the \cr of
an alignment. Proceed, and I'll ignore this case.


! LaTeX Error: \begin{flushleft} on input line 99 ended by \end{tabularx}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.4899 \end{tabularx}
                     
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Undefined control sequence.
l.4903 ...e-parameter family along $\rho\!=\!\MSig
                                                  /\MX$; varying $\rho$
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.4903 ...rameter family along $\rho\!=\!\MSig/\MX
                                                  $; varying $\rho$
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 4910.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 4910.

[98] [99] [100] [101] [102]

! LaTeX Error: Unicode character ⊕ (U+2295)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.5187 Anomalies cancel in SU(5) (10⊕
                                       5̄) and SO(10) (16 per generation).
You may provide a definition with
\DeclareUnicodeCharacter 


! LaTeX Error: Unicode character ̄ (U+0304)
               not set up for use with LaTeX.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.5187 Anomalies cancel in SU(5) (10⊕5̄
                                          ) and SO(10) (16 per generation).
You may provide a definition with
\DeclareUnicodeCharacter 

! Missing { inserted.
<to be read again> 
                   \discretionary 
l.5206 $r\le 10^{-30}$, $H_\*
                             \simeq 0.27\,\mathrm{GeV}$, $V^{1/4}\simeq 1.1\...
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing `I}' now.)

! Missing } inserted.
<inserted text> 
                }
l.5206 ...^{-30}$, $H_\*\simeq 0.27\,\mathrm{GeV}$
                                                  , $V^{1/4}\simeq 1.1\times...
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

[103]
! Missing { inserted.
<to be read again> 
                   \discretionary 
l.5211 ...6}$, $\epsilon=6.25\times10^{-8}$, $H_\*
                                                  \simeq 2.7\times 10^{11}\,...
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing `I}' now.)

! Missing } inserted.
<inserted text> 
                }
l.5211 ...*\simeq 2.7\times 10^{11}\,\mathrm{GeV}$
                                                  ,
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.

[104] [105]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 5360.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `\leftrightarrow' on input line 5360.


Package hyperref Warning: Token not allowed in a PDF string (Unicode):
(hyperref)                removing `math shift' on input line 5360.

(./results/row19_results.tex)
LaTeX Font Info:    Font shape `T1/lmtt/bx/n' in size <10.95> not available
(Font)              Font shape `T1/lmtt/b/n' tried instead on input line 5402.
! Missing $ inserted.
<inserted text> 
                $
l.5420 Verdict & \texttt{\RowXIXVerdict}
                                         \\
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Extra }, or forgotten $.
<recently read> \egroup 
                        
l.5420 Verdict & \texttt{\RowXIXVerdict}
                                         \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Missing } inserted.
<inserted text> 
                }
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.

! Extra }, or forgotten $.
<inserted text> }
                 
l.5421 S
        can points & \texttt{\RowXIXNscan} \\
(That makes 100 errors; please try again.) 
Here is how much of TeX's memory you used:
 34878 strings out of 474104
 693608 string characters out of 5743486
 1957493 words of memory out of 5000000
 55258 multiletter control sequences out of 15000+600000
 725937 words of font info for 351 fonts, out of 8000000 for 9000
 1141 hyphenation exceptions out of 8191
 83i,17n,93p,1162b,1291s stack positions out of 10000i,1000n,20000p,200000b,200000s

!  ==> Fatal error occurred, no output PDF file produced!