This is pdfeTeXk, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=latex 2006.6.2)  23 JUL 2006 16:02
entering extended mode
 Source specials enabled.
**\nonstopmode\input current.tex
(./current.tex (/usr/share/texmf-tetex/tex/latex/base/report.cls
Document Class: report 2004/02/16 v1.4f Standard LaTeX document class
(/usr/share/texmf-tetex/tex/latex/base/size10.clo
File: size10.clo 2004/02/16 v1.4f Standard LaTeX file (size option)
)
\c@part=\count79
\c@chapter=\count80
\c@section=\count81
\c@subsection=\count82
\c@subsubsection=\count83
\c@paragraph=\count84
\c@subparagraph=\count85
\c@figure=\count86
\c@table=\count87
\abovecaptionskip=\skip41
\belowcaptionskip=\skip42
\bibindent=\dimen102
)
(/usr/share/texmf-tetex/tex/latex/hyperref/hyperref.sty
Package: hyperref 2003/11/30 v6.74m Hypertext links for LaTeX

(/usr/share/texmf-tetex/tex/latex/graphics/keyval.sty
Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
\KV@toks@=\toks14
)
\@linkdim=\dimen103
\Hy@linkcounter=\count88
\Hy@pagecounter=\count89

(/usr/share/texmf-tetex/tex/latex/hyperref/pd1enc.def
File: pd1enc.def 2003/11/30 v6.74m Hyperref: PDFDocEncoding definition (HO)
)
(/usr/share/texmf-tetex/tex/latex/hyperref/hyperref.cfg
File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive and teTeX
)
Package hyperref Info: Hyper figures OFF on input line 1880.
Package hyperref Info: Link nesting OFF on input line 1885.
Package hyperref Info: Hyper index ON on input line 1888.
Package hyperref Info: Plain pages ON on input line 1893.
Package hyperref Info: Backreferencing OFF on input line 1900.

Implicit mode ON; LaTeX internals redefined
Package hyperref Info: Bookmarks ON on input line 2004.
(/usr/share/texmf-tetex/tex/latex/url/url.sty
\Urlmuskip=\muskip10
Package: url 2004/03/15  ver 3.1  Verb mode for urls, etc.
)
LaTeX Info: Redefining \url on input line 2143.
\Fld@menulength=\count90
\Field@Width=\dimen104
\Fld@charsize=\dimen105
\Choice@toks=\toks15
\Field@toks=\toks16
Package hyperref Info: Hyper figures OFF on input line 2618.
Package hyperref Info: Link nesting OFF on input line 2623.
Package hyperref Info: Hyper index ON on input line 2626.
Package hyperref Info: backreferencing OFF on input line 2633.
Package hyperref Info: Link coloring OFF on input line 2638.
\c@Item=\count91
\c@Hfootnote=\count92
)
*hyperref using driver hypertex*
(/usr/share/texmf-tetex/tex/latex/hyperref/hypertex.def
File: hypertex.def 2003/11/30 v6.74m Hyperref driver for HyperTeX specials
)
\@input{macros.aux}
\openout2 = `macros.aux'.

(./macros.tex (./srcltx.sty
Package: srcltx 1999/10/11 v1.002 DVI Search
\PAGETOP=\count93
\LASTLINE=\count94
\INPSP=\count95
\everypar=\toks17
)
(/usr/share/texmf-tetex/tex/latex/amsmath/amsmath.sty
Package: amsmath 2000/07/18 v2.13 AMS math features
\@mathmargin=\skip43

For additional information on amsmath, use the `?' option.
(/usr/share/texmf-tetex/tex/latex/amsmath/amstext.sty
Package: amstext 2000/06/29 v2.01

(/usr/share/texmf-tetex/tex/latex/amsmath/amsgen.sty
File: amsgen.sty 1999/11/30 v2.0
\@emptytoks=\toks18
\ex@=\dimen106
))
(/usr/share/texmf-tetex/tex/latex/amsmath/amsbsy.sty
Package: amsbsy 1999/11/29 v1.2d
\pmbraise@=\dimen107
)
(/usr/share/texmf-tetex/tex/latex/amsmath/amsopn.sty
Package: amsopn 1999/12/14 v2.01 operator names
)
\inf@bad=\count96
LaTeX Info: Redefining \frac on input line 211.
\uproot@=\count97
\leftroot@=\count98
LaTeX Info: Redefining \overline on input line 307.
\classnum@=\count99
\DOTSCASE@=\count100
LaTeX Info: Redefining \ldots on input line 379.
LaTeX Info: Redefining \dots on input line 382.
LaTeX Info: Redefining \cdots on input line 467.
\Mathstrutbox@=\box26
\strutbox@=\box27
\big@size=\dimen108
LaTeX Font Info:    Redeclaring font encoding OML on input line 567.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 568.
\macc@depth=\count101
\c@MaxMatrixCols=\count102
\dotsspace@=\muskip11
\c@parentequation=\count103
\dspbrk@lvl=\count104
\tag@help=\toks19
\row@=\count105
\column@=\count106
\maxfields@=\count107
\andhelp@=\toks20
\eqnshift@=\dimen109
\alignsep@=\dimen110
\tagshift@=\dimen111
\tagwidth@=\dimen112
\totwidth@=\dimen113
\lineht@=\dimen114
\@envbody=\toks21
\multlinegap=\skip44
\multlinetaggap=\skip45
\mathdisplay@stack=\toks22
LaTeX Info: Redefining \[ on input line 2666.
LaTeX Info: Redefining \] on input line 2667.
)
(/usr/share/texmf-tetex/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 2001/10/25 v2.2f
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 132.
)
(/usr/share/texmf-tetex/tex/latex/amsfonts/amssymb.sty
Package: amssymb 2002/01/22 v2.2d
)
(/usr/share/texmf-tetex/tex/latex/amscls/amsthm.sty
Package: amsthm 2004/08/06 v2.20
\thm@style=\toks23
\thm@bodyfont=\toks24
\thm@headfont=\toks25
\thm@notefont=\toks26
\thm@headpunct=\toks27
\thm@preskip=\skip46
\thm@postskip=\skip47
\thm@headsep=\skip48
\dth@everypar=\toks28
)
(/usr/share/texmf-tetex/tex/latex/tools/xspace.sty
Package: xspace 1997/10/13 v1.06 Space after command names (DPC)
)
\c@theorem=\count108
\c@listnum=\count109
) (./current.aux)
\openout1 = `current.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OT2/cmr/m/n on input line 22.
LaTeX Font Info:    Try loading font information for OT2+cmr on input line 22.

(/usr/share/texmf-tetex/tex/latex/cyrillic/ot2cmr.fd
File: ot2cmr.fd 2001/08/11 v3.2c Computer Modern Cyrillic font definitions
)
LaTeX Font Info:    ... okay on input line 22.
Package hyperref Info: Link coloring OFF on input line 22.

(/usr/share/texmf-tetex/tex/latex/hyperref/nameref.sty
Package: nameref 2003/12/03 v2.21 Cross-referencing by name of section
\c@section@level=\count110
)
LaTeX Info: Redefining \ref on input line 22.
LaTeX Info: Redefining \pageref on input line 22.
LaTeX Font Info:    Try loading font information for U+msa on input line 24.

(/usr/share/texmf-tetex/tex/latex/amsfonts/umsa.fd
File: umsa.fd 2002/01/19 v2.2g AMS font definitions
)
LaTeX Font Info:    Try loading font information for U+msb on input line 24.

(/usr/share/texmf-tetex/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2002/01/19 v2.2g AMS font definitions
) [1



] [1] (./current.toc
[1

]
LaTeX Font Info:    Try loading font information for OT2+wncyr on input line 42
.
 (/usr/share/texmf-tetex/tex/latex/cyrillic/ot2wncyr.fd
File: ot2wncyr.fd 1999/12/17 v3.2a Computer Modern Cyrillic font definitions
))
\tf@toc=\write3
\openout3 = `current.toc'.

 [2]
Chapter 1.

Overfull \hbox (15.05627pt too wide) in paragraph at lines 96--100
\OT1/cmr/m/n/10 theorem to obtain density result about irreducibility of the ch
aracteristic polynomial
 []


Overfull \hbox (1.09085pt too wide) in paragraph at lines 96--100
\OT1/cmr/m/n/10 of the Hecke operators attached to the weight 24 cusp forms of 
level 1, $[]\OML/cmm/m/it/10 S[]\OT1/cmr/m/n/10 (^^@[](1))\OML/cmm/m/it/10 :$ 
 []

[3

]
Overfull \hbox (11.11288pt too wide) in paragraph at lines 113--118
\OT1/cmr/bx/n/10 Theorem 1.1.2 \OT1/cmr/m/n/10 (Chebotarev Density Theorem)\OT1
/cmr/bx/n/10 . [][]\OT1/cmr/m/it/10 Let $\OML/cmm/m/it/10 L$ \OT1/cmr/m/it/10 b
e a finite Galois extension
 []


Overfull \hbox (1.4766pt too wide) in paragraph at lines 113--118
\OT1/cmr/m/it/10 of the number field $\OML/cmm/m/it/10 K$\OT1/cmr/m/it/10 , wit
h $[][]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 L=F\OT1/cmr/m/n/10 ) = \OML/cmm/m/it/1
0 G:$ \OT1/cmr/m/it/10 Let $\OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ^^Z \OML/cmm/m/
it/10 G$\OT1/cmr/m/it/10 , stable under conjugation.
 []

[4]
Overfull \hbox (7.77362pt too wide) in paragraph at lines 184--187
[][][]\OT1/cmr/m/n/10 Now let $\OML/cmm/m/it/10 G \OT1/cmr/m/n/10 = []([][]\OML
/cmm/m/it/10 =\U/msb/m/n/10 Q\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ;$ \OT1/cmr/m/n/
10 then $[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 G\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/
10 = \OMS/cmsy/m/n/10 j []\OT1/cmr/m/n/10 ([]([]))\OMS/cmsy/m/n/10 j \OT1/cmr/m
/n/10 = \OMS/cmsy/m/n/10 j [][]\OT1/cmr/m/n/10 (\U/msb/m/n/10 F[]\OT1/cmr/m/n/1
0 )\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ;$
 []


Overfull \hbox (5.71777pt too wide) in paragraph at lines 188--192
\OT1/cmr/m/n/10 for each conjugacy class $[]\OML/cmm/m/it/10 c \OMS/cmsy/m/n/10
 2 [][]\OT1/cmr/m/n/10 (\U/msb/m/n/10 F[]\OT1/cmr/m/n/10 )$ whose trace is in $
[]\U/msb/m/n/10 F[]\OML/cmm/m/it/10 :$ \OT1/cmr/m/n/10 Here, $[[]([]([][]))]$
 []

[5]
Overfull \hbox (2.61983pt too wide) detected at line 248
\OMS/cmsy/m/n/10 f\OML/cmm/m/it/10 p \OT1/cmr/m/n/10 : [](\OML/cmm/m/it/10 T[]\
OT1/cmr/m/n/10 )[]\U/msb/m/n/10 Q\OMS/cmsy/m/n/10 g ^^Z f\OML/cmm/m/it/10 p \OT
1/cmr/m/n/10 : [](\OML/cmm/m/it/10 T[]\OT1/cmr/m/n/10 )[]\U/msb/m/n/10 F[]\OMS/
cmsy/m/n/10 g\OML/cmm/m/it/10 :
 []


Overfull \hbox (4.27536pt too wide) in paragraph at lines 248--250
[]\OT1/cmr/m/n/10 We have the density of $[]\OMS/cmsy/m/n/10 f\OML/cmm/m/it/10 
p \OT1/cmr/m/n/10 : [](\OML/cmm/m/it/10 T[]\OT1/cmr/m/n/10 )[]\U/msb/m/n/10 Q\O
MS/cmsy/m/n/10 g \OT1/cmr/m/n/10 = 0\OML/cmm/m/it/10 :$ \OT1/cmr/m/n/10 This co
ncludes
 []


Overfull \hbox (21.33401pt too wide) in paragraph at lines 278--283
[][]\OT1/cmr/m/n/10 Farmer and James (see [[]] and [[]]) verified that the char
acteristic polynomials
 []


Overfull \hbox (0.71542pt too wide) in paragraph at lines 284--287
\OT1/cmr/bx/n/10 Problem 1.3.1. [][]\OT1/cmr/m/n/10 Greatly extend the range of
 computation carried out by Farmer
 []

[6]
Chapter 2.

Overfull \hbox (13.20847pt too wide) in paragraph at lines 321--326
\OT1/cmr/bx/n/10 Remark 2.1.2. [][]\OT1/cmr/m/n/10 (From Richard Taylor) Proble
m []2.1.1[] seems to me straightforward.
 []

[7

]
Overfull \hbox (10.95418pt too wide) in paragraph at lines 340--340
[][]\OT1/cmr/bx/n/14.4 Non-liftable weight one modular forms over $\U/msb/m/n/1
4.4 F[]$ 
 []


Overfull \hbox (19.41728pt too wide) in paragraph at lines 343--354
[][][]\OT1/cmr/m/n/10 This problem is closely connected to the "big images" cha
llenge, and could/should
 []


Overfull \hbox (1.66928pt too wide) in paragraph at lines 343--354
\OT1/cmr/m/n/10 be treated in collaboration. Modular forms of weight 1 over $[]
\U/msb/m/n/10 F[]$ \OT1/cmr/m/n/10 behave completely
 []

[8]
Chapter 3.
[9

]
Chapter 4.
[10

] [11]
Overfull \hbox (12.9636pt too wide) in paragraph at lines 507--511
[][]\OT1/cmr/m/n/10 contains a ``substantial chunk'' of the curves of conductor
 $\OMS/cmsy/m/n/10 ^^T \OT1/cmr/m/n/10 234446$. Challenge []4.2.1[]
 []

[12]
Overfull \hbox (0.41504pt too wide) in paragraph at lines 594--597
\OT1/cmr/m/n/10 tables that are easy to use in \OT1/cmss/m/n/10 SAGE\OT1/cmr/m/
n/10 . (I think I have an implementation somewhere
 []

[13]
Chapter 5.
[14

] [15]
Chapter 6.
[16

]
Overfull \hbox (24.72937pt too wide) in paragraph at lines 717--719
\OT1/cmr/bx/n/10 Problem 6.1.1. [][]\OT1/cmr/m/n/10 Implement the full algorith
m in \OT1/cmss/m/n/10 SAGE\OT1/cmr/m/n/10 . (It is completely implemented
 []

[17] [18]
Underfull \hbox (badness 2401) in paragraph at lines 907--907
[][][][]\OT1/cmr/m/n/8 Kedlaya's algorithm only requires good reduction; howeve
r, the application to
 []

[19]
Overfull \hbox (1.50313pt too wide) in paragraph at lines 931--932
[]\OT1/cmr/m/n/10 denote the coordinate ring of $[]\OML/cmm/m/it/10 C[]$ \OT1/c
mr/m/n/10 over $[]\U/msb/m/n/10 Q[]$\OT1/cmr/m/n/10 . Recall that the hyperelli
ptic involution 
 []

[20] [21]
Overfull \hbox (3.36763pt too wide) in paragraph at lines 1013--1015
\OT1/cmr/bx/n/10 Problem 6.2.3. [][]\OT1/cmr/m/n/10 Implement a \OT1/cmr/m/it/1
0 highly optimized \OT1/cmr/m/n/10 version of the reduction algorithm
 []


Overfull \hbox (59.569pt too wide) in paragraph at lines 1039--1039
[] 
 []

[22]
Overfull \hbox (12.1358pt too wide) detected at line 1079
\OML/cmm/m/it/10 F[] \OMS/cmsy/m/n/10 ^^Q \OT1/cmr/m/n/10 (10 + 10\OML/cmm/m/it
/10 x \OT1/cmr/m/n/10 + 5\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 + (20 + 5\OML/cmm
/m/it/10 x \OT1/cmr/m/n/10 + 15\OML/cmm/m/it/10 x[]\OT1/cmr/m/n/10 )\OML/cmm/m/
it/10 z[] \OT1/cmr/m/n/10 + (10 + 20\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 + 15\OML
/cmm/m/it/10 x[]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 z[]\OT1/cmr/m/n/10 )\OML/cmm/
m/it/10 zdx\OT1/cmr/m/n/10 ([]25)\OML/cmm/m/it/10 :
 []


Overfull \hbox (55.16774pt too wide) detected at line 1088
\OT1/cmr/m/n/10 (13 + 2\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 + 13\OML/cmm/m/it/10 
z[] \OT1/cmr/m/n/10 + 10\OML/cmm/m/it/10 z[]x \OT1/cmr/m/n/10 + 7\OML/cmm/m/it/
10 z[]x[] \OT1/cmr/m/n/10 + 10\OML/cmm/m/it/10 z[] \OT1/cmr/m/n/10 + 20\OML/cmm
/m/it/10 z[]x \OT1/cmr/m/n/10 + 15\OML/cmm/m/it/10 z[]x[]\OT1/cmr/m/n/10 )\OML/
cmm/m/it/10 zdx \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/m/n/10 10\OML/cmm/m/it/10 d\OT1/c
mr/m/n/10 (\OML/cmm/m/it/10 z[]\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/
m/n/10 15\OML/cmm/m/it/10 d\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 xz[]\OT1/cmr/m/n/1
0 ) \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/m/n/10 5\OML/cmm/m/it/10 d\OT1/cmr/m/n/10 (\O
ML/cmm/m/it/10 x[]z[]\OT1/cmr/m/n/10 )
 []

[23]
Overfull \hbox (69.74638pt too wide) in paragraph at lines 1200--1200
[]        \OT1/cmtt/m/n/10 b = binomial(-1/2, k) * p^(k+1) * G^k * x^(p*(i+1)-1
) * z^((2*k+1)*p-1)[] 
 []

[24]
Overfull \hbox (80.24629pt too wide) in paragraph at lines 1200--1200
[]                              \OT1/cmtt/m/n/10 for i in range(3) for j in ran
ge(1,5 +1) if j%2!=0][] 
 []


Overfull \hbox (106.49606pt too wide) in paragraph at lines 1200--1200
[]    \OT1/cmtt/m/n/10 H1 = [coefficient_vector(reduce_mod(S(1),5)), coefficien
t_vector(reduce_mod(x,5))][] 
 []


Overfull \hbox (1.49698pt too wide) in paragraph at lines 1200--1200
[]    \OT1/cmtt/m/n/10 if f is a polynomial in n variables and z is the var_num
ber-th[] 
 []


Overfull \hbox (6.74693pt too wide) in paragraph at lines 1200--1200
[]    \OT1/cmtt/m/n/10 generator of the parent of f, this returns the degree-d 
list of[] 
 []


Overfull \hbox (6.74693pt too wide) in paragraph at lines 1200--1200
[]    \OT1/cmtt/m/n/10 Return the 3x3 matrix mod p of coefficients of the coeff
icients[] 
 []

[25]
Overfull \hbox (48.74657pt too wide) in paragraph at lines 1200--1200
[]\OT1/cmtt/m/n/10 find_lincomb_needed_to_subtract_off(reduce_mod((1/5)*(10*z^2
+5*z^2*x),5),2)[] 
 []


Overfull \hbox (111.74602pt too wide) in paragraph at lines 1200--1200
[]\OT1/cmtt/m/n/10 find_lincomb_needed_to_subtract_off(reduce_mod((1/5)*(10*z^4
+20*z^4*x+15*z^4*x^2),5),4)[] 
 []


Overfull \hbox (2.75708pt too wide) in paragraph at lines 1205--1210
\OT1/cmr/bx/n/10 Problem 6.2.4. [][]\OT1/cmr/m/n/10 Are there simplifications o
ne could make to the above algorithm
 []

[26]
Overfull \hbox (10.49779pt too wide) in paragraph at lines 1247--1255
\OT1/cmr/bx/n/10 Problem 6.2.9. [][]\OT1/cmr/m/n/10 (From Christian Wuthrich.) 
There is a well-defined supersingular
 []


Overfull \hbox (0.90805pt too wide) in paragraph at lines 1247--1255
\OT1/cmr/m/n/10 theory explained by Perrin-Riou. The Kedlaya algorithm can be u
sed to compute
 []

[27]
Chapter 7.

Overfull \hbox (13.02846pt too wide) in paragraph at lines 1287--1292
[][][]\OT1/cmr/m/n/10 Unfortunately, it seems that nobody has proved or even fo
rmulated a conjectural
 []


Overfull \hbox (1.19853pt too wide) in paragraph at lines 1287--1292
\OT1/cmr/m/n/10 is work about higher congruences in that comes up when studying
 $[]\OML/cmm/m/it/10 p$\OT1/cmr/m/n/10 -adic modular
 []

[28

] [29]
Chapter 8.
[30

]
Overfull \hbox (2.28296pt too wide) in paragraph at lines 1428--1433
\OT1/cmr/m/n/10 preference for $[][]$ or $[]$ to have the larger endomorphism r
ing. Can one determine
 []


Overfull \hbox (15.5771pt too wide) in paragraph at lines 1434--1436
[][][]\OT1/cmr/m/n/10 Note that the condition $[\OMS/cmsy/m/n/10 O[] \OT1/cmr/m
/n/10 : \U/msb/m/n/10 Z\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 ^^Y[]\OT1/cmr/m/n/10 ]
] \OMS/cmsy/m/n/10 ^^Q \OT1/cmr/m/n/10 0  []  5$ is equivalent, up to isomorphi
sm,
 []

[31]
Overfull \hbox (11.44513pt too wide) in paragraph at lines 1488--1491
[][]\OT1/cmr/m/n/10 The problem of computing $[](\OML/cmm/m/it/10 A=\U/msb/m/n/
10 Q\OT1/cmr/m/n/10 )$ has been solved by Stein (and is implemented
 []

[32]
Overfull \hbox (0.88469pt too wide) in paragraph at lines 1548--1548
[][]\OT1/cmr/bx/n/14.4 Mordell-Weil Groups and Torsion subgroups 
 []

[33]
Overfull \hbox (1.49698pt too wide) in paragraph at lines 1617--1617
[][][]   \OT1/cmtt/m/n/10 [ ] [10] MR1300880 (95h:11053) Flach, Matthias On the
 degree of[] 
 []


Overfull \hbox (17.24684pt too wide) in paragraph at lines 1617--1617
[]   \OT1/cmtt/m/n/10 modular parametrizations. Seminaire de Theorie des Nombre
s, Paris,[] 
 []


Overfull \hbox (27.74675pt too wide) in paragraph at lines 1617--1617
[]   \OT1/cmtt/m/n/10 1991--92, 23--36, Progr. Math., 116, Birkhaeuser Boston, 
Boston, MA,[] 
 []

[34] [35] [36]
Overfull \hbox (17.01404pt too wide) in paragraph at lines 1800--1807
\OT1/cmr/bx/n/10 Remark 8.8.8. [][]\OT1/cmr/m/n/10 The work of Cristian Wuthric
h and Stein mentioned in Section []8.8.1[]
 []

:<+ current.bbl
(./current.bbl [37]
Underfull \hbox (badness 10000) in paragraph at lines 11--14
[][][]\OT1/cmr/m/n/10 A. Agashe, K.A. Ribet, and W.A. Stein,
 []


Underfull \hbox (badness 10000) in paragraph at lines 11--14
\OT1/cmr/m/it/10 The Manin Constant\OT1/cmr/m/n/10 , JPAM Coates Volume,
 []


Underfull \hbox (badness 10000) in paragraph at lines 11--14
\OT1/cmtt/m/n/10 http://modular.math.washington.edu/papers/ars-manin/
 []


Underfull \hbox (badness 1616) in paragraph at lines 16--20
[][][]\OT1/cmr/m/n/10 A. Agashe and W. Stein, \OT1/cmr/m/it/10 Visible evidence
 for the Birch and
 []


Underfull \hbox (badness 2922) in paragraph at lines 52--56
[][][]\OT1/cmr/m/n/10 B. Edixhoven, \OT1/cmr/m/it/10 Point counting after Kedla
ya, EIDMA-Stieltjes
 []


Overfull \hbox (113.55426pt too wide) in paragraph at lines 52--56
\OT1/cmtt/m/n/10 http://www.math.leidenuniv.nl/ edix/oww/mathofcrypt/carls[]edi
xhoven/kedlaya.pdf\OT1/cmr/m/n/10 . 
 []

[38

]

Package amsfonts Warning: Obsolete command \bold; \mathbf should be used instea
d on input line 64.


Underfull \hbox (badness 1221) in paragraph at lines 63--66
\OT1/cmr/m/n/10 Amer. J. Math. \OT1/cmr/bx/n/10 123 \OT1/cmr/m/n/10 (2001), no.
 3, 475--503. MR MR1833149
 []


Underfull \hbox (badness 2503) in paragraph at lines 78--81
[][][]\OT1/cmr/m/n/10 K. Kedlaya, \OT1/cmr/m/it/10 Computing zeta functions via
 $\OML/cmm/m/it/10 p$\OT1/cmr/m/it/10 -adic cohomology\OT1/cmr/m/n/10 ,
 []


Underfull \hbox (badness 2469) in paragraph at lines 118--121
[][][]\OT1/cmr/m/n/10 Bernadette Perrin-Riou, \OT1/cmr/m/it/10 Arithm^^Setique 
des courbes elliptiques ^^Ra
 []

[39]
Underfull \hbox (badness 1888) in paragraph at lines 128--132
[][][]\OT1/cmr/m/n/10 K.A. Ribet and W.A. Stein, \OT1/cmr/m/it/10 Lectures on S
erre's conjectures\OT1/cmr/m/n/10 ,
 []


Underfull \hbox (badness 10000) in paragraph at lines 142--145
[][][]\OT1/cmr/m/n/10 William Stein and David Joyner, \OT1/cmr/m/it/10 Sage: Sy
stem for
 []


Underfull \hbox (badness 10000) in paragraph at lines 142--145
\OT1/cmr/m/it/10 algebra and geometry experimentation\OT1/cmr/m/n/10 , Communic
ations in
 []


Underfull \hbox (badness 1253) in paragraph at lines 142--145
\OT1/cmr/m/n/10 Computer Algebra (SIGSAM Bulletin) \OT1/cmr/bx/n/10 39 \OT1/cmr
/m/n/10 (June 2005), no. 2,
 []

)
:<-
[40] (./current.aux) ) 
Here is how much of TeX's memory you used:
 3382 strings out of 95332
 40993 string characters out of 1187736
 90642 words of memory out of 1000000
 6436 multiletter control sequences out of 10000+50000
 21508 words of font info for 81 fonts, out of 500000 for 2000
 0 hyphenation exceptions out of 8191
 31i,12n,29p,382b,261s stack positions out of 1500i,500n,5000p,200000b,5000s

Output written on current.dvi (42 pages, 158224 bytes).