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Package hyperref Info: Link coloring OFF on input line 22. (/sw/share/texmf-dist/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. (/sw/share/texmf-dist/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. (/sw/share/texmf-dist/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 43 . (/sw/share/texmf-dist/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. [3 ] [4] Overfull \hbox (7.77362pt too wide) in paragraph at lines 188--191 [][]\OT1/cmr/m/n/10 Now let $\OML/cmm/m/it/10 G \OT1/cmr/m/n/10 = []([][]\OML/c mm/m/it/10 =\U/msb/m/n/10 Q\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ;$ \OT1/cmr/m/n/10 then $[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 G\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 j []\OT1/cmr/m/n/10 ([]([]))\OMS/cmsy/m/n/10 j \OT1/cmr/m/n /10 = \OMS/cmsy/m/n/10 j [][]\OT1/cmr/m/n/10 (\U/msb/m/n/10 F[]\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ;$ [] Overfull \hbox (5.71777pt too wide) in paragraph at lines 192--196 \OT1/cmr/m/n/10 for each con-ju-gacy 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 252 \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 (0.71542pt too wide) in paragraph at lines 288--291 \OT1/cmr/bx/n/10 Problem 1.3.1. []\OT1/cmr/m/n/10 Greatly ex-tend the range of com-pu-ta-tion car-ried out by Farmer [] [6] Chapter 2. [7 ] Overfull \hbox (10.95418pt too wide) in paragraph at lines 344--344 [][]\OT1/cmr/bx/n/14.4 Non-liftable weight one mod-u-lar forms over $\U/msb/m/n /14.4 F[]$ [] Overfull \hbox (19.41728pt too wide) in paragraph at lines 347--358 [][]\OT1/cmr/m/n/10 This prob-lem is closely con-nected to the "big im-ages" ch al-lenge, and could/should [] [8] Chapter 3. [9 ] Chapter 4. Overfull \hbox (53.99652pt too wide) in paragraph at lines 421--421 []\OT1/cmtt/m/n/10 dmharvey@fas.harvard.edu (in particular the Bernoulli numb ers computation)[] [] [10 ] [11] [12] [13] Chapter 5. [14 ] [15] [16] [17] Chapter 6. [18 ] [19] [20] [21] [22] [23] Overfull \hbox (59.569pt too wide) in paragraph at lines 1168--1168 [] [] [24] Overfull \hbox (12.1358pt too wide) detected at line 1208 \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 1217 \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 ) [] [25] Overfull \hbox (69.74638pt too wide) in paragraph at lines 1329--1329 [] \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)[] [] [26] Overfull \hbox (80.24629pt too wide) in paragraph at lines 1329--1329 [] \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 1329--1329 [] \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 1329--1329 [] \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 1329--1329 [] \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 1329--1329 [] \OT1/cmtt/m/n/10 Return the 3x3 matrix mod p of coefficients of the coeff icients[] [] [27] Overfull \hbox (48.74657pt too wide) in paragraph at lines 1329--1329 []\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 1329--1329 []\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)[] [] [28] [29] Chapter 7. [30 ] [31] Chapter 8. [32 ] [33] [34] Overfull \hbox (0.88469pt too wide) in paragraph at lines 1677--1677 [][]\OT1/cmr/bx/n/14.4 Mordell-Weil Groups and Tor-sion sub-groups [] [35] Overfull \hbox (1.49698pt too wide) in paragraph at lines 1746--1746 [][] \OT1/cmtt/m/n/10 [ ] [10] MR1300880 (95h:11053) Flach, Matthias On the d egree of[] [] Overfull \hbox (17.24684pt too wide) in paragraph at lines 1746--1746 [] \OT1/cmtt/m/n/10 modular parametrizations. Seminaire de Theorie des Nombre s, Paris,[] [] Overfull \hbox (27.74675pt too wide) in paragraph at lines 1746--1746 [] \OT1/cmtt/m/n/10 1991--92, 23--36, Progr. Math., 116, Birkhaeuser Boston, Boston, MA,[] [] [36] [37] [38] [39] Chapter 9. Overfull \hbox (6.74693pt too wide) in paragraph at lines 1957--1957 [][]\OT1/cmtt/m/n/10 http://modular.math.washington.edu/papers/ell_graphs/ell_g raphs.pdf[] [] [40 ] Overfull \hbox (106.49606pt too wide) in paragraph at lines 2002--2002 [][]\OT1/cmtt/m/n/10 http://modular.math.washington.edu/sage/doc/html/ref/modul e-sage.modular.dims-doc.html[] [] [41] Chapter 10. :<+ current.bbl (./current.bbl [42 ] Package amsfonts Warning: Obsolete command \Bbb; \mathbb should be used instead on input line 12. Underfull \hbox (badness 1221) in paragraph at lines 21--25 [][]\OT1/cmr/m/n/10 A. Agashe and W. Stein, \OT1/cmr/m/it/10 Vis-i-ble ev-i-den ce for the Birch and [] [43 ] Underfull \hbox (badness 2005) in paragraph at lines 66--70 [][]\OT1/cmr/m/n/10 B. Edix-hoven, \OT1/cmr/m/it/10 Point count-ing af-ter Ked- laya, EIDMA-Stieltjes [] Overfull \hbox (117.30428pt too wide) in paragraph at lines 66--70 \OT1/cmtt/m/n/10 http://www.math.leidenuniv.nl/ edix/oww/mathofcrypt/carls[]edi xhoven/kedlaya.pdf\OT1/cmr/m/n/10 . [] Package amsfonts Warning: Obsolete command \bold; \mathbf should be used instea d on input line 78. Underfull \hbox (badness 1237) in paragraph at lines 96--99 [][]\OT1/cmr/m/n/10 Kiran S. Ked-laya, \OT1/cmr/m/it/10 Count-ing points on hy- per-el-lip-tic curves us- [] [44] Underfull \hbox (badness 1629) in paragraph at lines 150--153 [][]\OT1/cmr/m/n/10 Bernadette Perrin-Riou, \OT1/cmr/m/it/10 Arithm^^Setique de s courbes el-lip-tiques ^^Ra [] [45] Underfull \hbox (badness 1097) in paragraph at lines 198--201 [][]\OT1/cmr/m/n/10 Yuri G. Zarhin, $\OML/cmm/m/it/10 p$\OT1/cmr/m/it/10 -adic heights on abelian va-ri-eties\OT1/cmr/m/n/10 , S^^Seminaire [] ) :<- [46] (./current.aux) ) Here is how much of TeX's memory you used: 3360 strings out of 94501 40647 string characters out of 1176137 92559 words of memory out of 1000000 6504 multiletter control sequences out of 10000+50000 21508 words of font info for 81 fonts, out of 500000 for 2000 580 hyphenation exceptions out of 1000 31i,12n,29p,359b,326s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on current.dvi (48 pages, 168196 bytes).