This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 2000.7.19)  18 JUL 2001 23:51
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[]\OT1/cmr/m/n/10 cmrmn[]24[] 
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l.367 L
       et $p \equiv 1 \pmod{9}$ be prime. With the above notation we have
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       et $p \equiv 1 \pmod{9}$ be prime. With the above notation we have
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       et $p \equiv 1 \pmod{9}$ be prime. With the above notation we have
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       et $p \equiv 1 \pmod{9}$ be prime. With the above notation we have
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       et $p \equiv 1 \pmod{9}$ be prime. With the above notation we have
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       et $p \equiv 1 \pmod{9}$ be prime. With the above notation we have
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       he formulas for the square roots of $L_k$ can be divided naturally
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       he formulas for the square roots of $L_k$ can be divided naturally
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       he formulas for the square roots of $L_k$ can be divided naturally
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l.533 L
       et $a_n(t), b_n(t), c_n(t)$ be the polynomials defined  by the recurs...

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       et $a_n(t), b_n(t), c_n(t)$ be the polynomials defined  by the recurs...

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       et $a_n(t), b_n(t), c_n(t)$ be the polynomials defined  by the recurs...

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\OT1/cmr/m/n/10 Then $2[]\OML/cmm/m/it/10 G[]\OT1/cmr/m/n/10 (0)$ equals $\OML/
cmm/m/it/10 a[]\OT1/cmr/m/n/10 (0)[]$ if $\OML/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^
^Q \OT1/cmr/m/n/10 0([]6)$, $\OML/cmm/m/it/10 c[]\OT1/cmr/m/n/10 (0)[]$ if $\OM
L/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^^Q \OT1/cmr/m/n/10 3([]6)$,
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       et $f: \Hh \longrightarrow \C$ be an analytic funtion and $z_0=
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l.708 \begin{proposition}  L
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                            et $E/\Q$ be a modular elliptic curve of conduct...

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l.719 ...2\,F\bigl(\frac{2\pi}{\sqrt N}\bigr)\,,$$
                                                  
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l.719 ...2\,F\bigl(\frac{2\pi}{\sqrt N}\bigr)\,,$$
                                                  
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l.735 F
       or $p\equiv 1 \pmod{9}$ we have
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       or $p\equiv 1 \pmod{9}$ we have
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       or $p\equiv 1 \pmod{9}$ we have
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\defaultfont ->\family 
                       \default@family \series \default@series \shape \defau...
l.811 \end{document}
                    
? 
! Undefined control sequence.
\defaultfont ->\family \default@family \series 
                                               \default@series \shape \defau...
l.811 \end{document}
                    
? 
! Undefined control sequence.
\defaultfont ...ly \series \default@series \shape 
                                                  \default@shape \selectfont 
l.811 \end{document}
                    
? 
[12] (Villegas.aux) ) 
Here is how much of TeX's memory you used:
 1202 strings out of 20898
 11953 string characters out of 196686
 64208 words of memory out of 350001
 4123 multiletter control sequences out of 10000+15000
 27791 words of font info for 105 fonts, out of 400000 for 1000
 14 hyphenation exceptions out of 1000
 28i,9n,22p,256b,367s stack positions out of 1500i,100n,500p,50000b,4000s

Output written on Villegas.dvi (12 pages, 52592 bytes).