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B!8})!@N[k '#4@^>^ #k#~^~{'p{#@[k~{'{#@[k^#k#~^~{'{#@[k~{'{#@[k^#k# a0;a1;a2;a3;a4;a5;a6;2^-2*(-120*a0*a6+20*a1*a5-8*a2*a4+3*a3^2)enter Q(x) : enter P(x) : It is not a curve of genus 2 singular curve factorization CPU time = %ld a minimal equation over Z[1/2] is : factorization of the minimal (away from 2) discriminant : the conductor is in factorized form : total CPU time = %ld the prime to 2 part of the conductor is in factorized form : total CPU time = %ld (potential) stable reduction : (II), j= (V), j1+j2=, j1*j2= (VI), j=good reduction at p : [I{0-0-0}] page 155, (1), f=0 reduction at p : [I{1-0-0}] page 170, (1), f=1 reduction at p : [I{2-0-0}] page 170, (2), f=1 reduction at p : [I{1-1-0}] page 179, (1), f=2 bug sur tt 1 reduction at p : [I{0}-II-0] page 159, (1), f=2 bug sur tt 2 reduction at p : bug sur tt 3 [I{2-1-0}] page 179, (2), f=2 [I{1-1-1}] page 182, (3), f=2 [I{0}-III-0] page 161, (2), f=2 bug de conducteur [I{1}-II-0] page 172, (1), f=3 bug switch sur tt 4 [V] page 156, (3), f=%ld [V*] page 156, (3), f=%ld [IX-2] page 157, (5), f=%ld [VIII-4] page 157, (1), f=%ld [IX-4] page 158, (5), f=%ld bug sur tt 6 [II*-IV-(-1)] page 164, (3), f=%ld bug red1[IV-III*-(-1)] page 167, (6), f=%ld bug sur b0[IV] page 155, (1), f=%ld [III] page 155, (3)^2, f=%ld [III*{%ld}] page 184, (1), f=%ld [III{%ld}] page 184, (9), f=%ld [III{%ld}] page 184, (3)^2, f=%ld bug red2 [VIII-1] page 156, (1), f=%ld [IX-3] page 157, (5), f=%ld [IX-1] page 157, (5), f=%ld [VIII-3] page 157, (1), f=%ld [VIII-2] page 157, (1), f=%ld [VII] page 156, (2), f=%ld [VII*] page 156, (2), f=%ld bug dans le calcul d'un indice bug factorpadicnonun[II-II*{%ld}] page 176, H{%ld}, f=%ld bug red3 [IV*-II{0}] page 175, (1), f=%ld bug sur tt 6 [II*-III-(-1)] page 167, (2), f=%ld bug sur tt 5 bug factorpadicnonun 2[IV-II{%ld}] page 175, (%ld), f=%ld [II*-II*{%ld}] page 175, H{%ld}, f=%ld bug sur tt 5 [II{%ld-%ld}] page 182, (2)x(%ld), f=%ld [II{%ld-%ld}] page 182, (%ld), f=%ld [IV*-II{%ld}] page 175, (%ld), f=%ld bug switch sur lambda bug conducteur 3 bug lambda=3 bug R impair bug R <=-2 bug sur val[eps2] bug equation minimale [I{0}-I{0}-%ld] page 158, (1), f=0 [I*{0}-I{0}-%ld] page 159, (2)^2, f=2 [I*{0}-I*{0}-%ld] page 158, (2)^4, f=4 [I*{%ld}-I{%ld}-%ld] page 170, H{%ld}x(%ld), f=%ld [I*{%ld}-I{%ld}-%ld] page 180, H{%ld}x(%ld), f=%ld [I{%ld}-I*{%ld}-%ld] page 170, (%ld)xH{%ld}, f=%ld [I{%ld}-I*{%ld}-%ld] page 180, (%ld)xH{%ld}, f=%ld bug avant swith sur ri [I*{%ld}-[I{%ld}-bug type1 I*{%ld}-%ld] pages 159-177, I{%ld}-%ld] pages 159-177, III-%ld] pages 161-177, III*-%ld] pages 162-177, II-%ld] pages 159-174, IV*-%ld] pages 160-175, IV-%ld] pages 160-174, II*-%ld] pages 160-174, bug type2 bug conducteur bug type3 (%ld), f=%ld (1), f=%ld H{%ld}, f=%ld (2), f=%ld (2), f=%ld (1), f=%ld (3), f=%ld (3), f=%ld (1), f=%ld bug type4 bug, erreur d'appreciation bug, le type sur Z[i] doit etre [K-K-(2*m)] bug choix de types [2I{%ld}-%ld] page 181, (%ld), f=3 [2I{0}-%ld] page 159, (1), f=2 [II] page 155, (1), f=2 [2I*{%ld}-%ld] pages 159, 181, (2)^2, f=4 [2III-%ld] page 168, (2), f=4 [2III*-%ld] page 168, (2), f=4 [2II-%ld] page 162, (1), f=%ld [2IV*-%ld] page 165, (3), f=%ld [2IV-%ld] page 165, (3), f=%ld [2II*-%ld] page 163, (1), f=%ld bug type1 bug conducteur a0;a1;a2;a3;a4;a5;a6;-5*a1^2+12*a0*a2a0;a1;a2;a3;a4;a5;a6;5*a1^3+9*a0*(-2*a1*a2+3*a0*a3)a0;a1;a2;a3;a4;a5;a6;2*a2^2-5*a1*a3+10*a0*a4[I{0-0-0}] page 155, (1)[I*{0-0-0}] page 155, (2)^4[II] page 155, (1)[VI] page 156, (2)^2[I{%ld-0-0}] page 170, (%ld)[I*{%ld-0-0}] page 171, (2)^2xH{%ld}[II*{%ld-0}] page 172, (1)[II{%ld-0}] page 171, (%ld)[IV-II{%ld}] page 175, (%ld)[IV*-II{%ld}] page 175, (%ld)[III-II{%ld}] page 177, (%ld)[III*-II*{%ld}] page 178, (8)[III-II*{%ld}] page 178, (8)[III*-II{%ld}] page 178, (%ld)[II*-II*{%ld}] page 176, H{%ld}[II-II*{%ld}] page 176, H{%ld}[I{%ld-%ld-0}] page 179, (%ld)x(%ld)[I*{%ld-%ld-0}] page 180, H{%ld}xH{%ld}[2I{%ld}-0] page 181, (%ld)[II{%ld-%ld}] page 182, (%ld)x(2)ou [II{%ld-%ld}] page 182, (%ld)x(2)[III{%ld}] page 182, H{%ld}[I{%ld-%ld-%ld}] page 182, (%ld)x(%ld)[I*{%ld-%ld-%ld}] page 183, H{%ld}xH{%ld}[II*{%ld-%ld}] page 184, (%ld)[II{%ld-%ld}] page 183, (%ld)[III{%ld}] page 184, [III*{%ld}] page 184, (1)[I{0}-I{0}-%ld] page 158, (1)[I*{0}-I*{0}-%ld] page 158, (2)^4[I{0}-I*{0}-%ld] page 159, (2)^2[IV-IV*-%ld] page 165, (3)^2[I{0}-IV-%ld] page 160, (3)[IV*-IV*-%ld] page 166, (3)^2[I{0}-IV*-%ld] page 160, (3)[IV-IV-%ld] page 165, (3)^2[III-III*-%ld] page 169, (2)^2[I{0}-III-%ld] page 161, (2)[I*{0}-III*-%ld] page 162, (2)^3[III-III-%ld] page 169, (2)^2[III*-III*-%ld] page 169, (2)^2[I{0}-III*-%ld] page 162, (2)[I*{0}-III-%ld] page 162, (2)^3[II-II*-%ld] page 163, (1)[I{0}-II-%ld] page 159, (1)[II*-IV-%ld] page 164, (3)[I*{0}-IV*-%ld] page 161, (2)^2x(3)[II-II-%ld] page 163, (1)[I*{0}-II*-%ld] page 160-161, (2)^2[II-IV-%ld] page 164, (3)[II*-IV*-%ld] page 164-165, (3)[I*{0}-II-%ld] page 160, (2)^2[II*-II*-%ld] page 163, (1)[I{0}-II*-%ld] page 160, (1)[II-IV*-%ld] page 164, (3)[I*{0}-IV-%ld] page 161, (2)^2x(3)[II*-III-%ld] page 166-167, (2)[IV-III*-%ld] page 167, (6)[II-III-%ld] page 166, (2)[IV*-III*-%ld] page 168, (6)[IV-III-%ld] page 167, (6)[II*-III*-%ld] page 167, (2)[IV*-III-%ld] page 168, (6)[II-III*-%ld] page 166, (2)[2I{0}-%ld] page 159, (1)[2I*{0}-%ld] page 159, (2)^2[2IV-%ld] page 165, (3)[2IV*-%ld] page 165, (3)[2III-%ld] page 168, (2)[2III*-%ld] page 168, (2)[2II-%ld] page 162, (1)[2II*-%ld] page 163, (1)[I{%ld}-I{0}-%ld] page 170, (%ld)[I*{0}-I*{%ld}-%ld] page 171, (2)^2xH{%ld}[IV-I{%ld}-%ld] page 173, (3)x(%ld)[IV*-I{%ld}-%ld] page 173, (3)x(%ld)[III-I{%ld}-%ld] page 176, (2)x(%ld)[III*-I*{%ld}-%ld] page 177, (2)xH{%ld}[III*-I{%ld}-%ld] page 176, (2)x(%ld)[III-I*{%ld}-%ld] page 177, (2)xH{%ld}[II-I{%ld}-%ld] page 172, (%ld)[IV*-I*{%ld}-%ld] page 174-175, (3)xH{%ld}[II*-I*{%ld}-%ld] page 174, H{%ld}[II-I*{%ld}-%ld] page 173, H{%ld}[II*-I{%ld}-%ld] page 172, (%ld)[IV-I*{%ld}-%ld] page 174, (3)xH{%ld}[I{%ld}-I{%ld}-%ld] page 179, (%ld)x(%ld)[2I{%ld}-%ld] page 181, (%ld)[I*{%ld}-I*{%ld}-%ld] page 180, H{%ld}xH{%ld}[I{%ld}-I*{%ld}-%ld] page 180, (%ld)xH{%ld}[2I*{%ld}-%ld] page 181, H{%ld}, f=%ld contenu non trivial, erreur erreur, racine multiple bug, on ne doit pas arriver dans discpartbug, degre de prodmod(y,y^2-3)bug, le polynome n'est pas minimal bug dans polyminizi2 a0;a1;a2;a3;a4;a5;a6;2^-7*(240*(a0*a3*a4*a5+a1*a2*a3*a6)-400*(a0*a2*a5^2+a1^2*a4*a6)-64*(a0*a4^3+a2^3*a6)+16*(a1*a3*a4^2+a2^2*a3*a5)-672*a0*a3^2*a6+240*a1^2*a5^2-112*a1*a2*a4*a5-8*a1*a3^2*a5+16*a2^2*a4^2-16*a2*a3^2*a4+3*a3^4+2640*a0^2*a6^2-880*a0*a1*a5*a6+1312*a0*a2*a4*a6)a0;a1;a2;a3;a4;a5;a6;2^-10*(1600*(a0^2*a4^2*a5^2+a1^2*a2^2*a6^2)+1600*(a0*a1*a2*a5^3+a1^3*a4*a5*a6)+640*(a0*a1*a3*a4*a5^2+a1^2*a2*a3*a5*a6)-4000*(a0^2*a3*a5^3+a1^3*a3*a6^2)-384*(a0*a1*a4^3*a5+a1*a2^3*a5*a6)-640*(a0*a2^2*a4*a5^2+a1^2*a2*a4^2*a6)+80*(a0*a2*a3^2*a5^2+a1^2*a3^2*a4*a6)+192*(a0*a2*a3*a4^2*a5+a1*a2^2*a3*a4*a6)-48*(a0*a3^3*a4*a5+a1*a2*a3^3*a6)-224*(a1^2*a3*a4^2*a5+a1*a2^2*a3*a5^2)+64*(a1^2*a4^4+a2^4*a5^2)-64*(a1*a2*a3*a4^3+a2^3*a3*a4*a5)+16*(a1*a3^3*a4^2+a2^2*a3^3*a5)-4096*(a0^2*a4^3*a6+a0*a2^3*a6^2)+6400*(a0^2*a2*a5^2*a6+a0*a1^2*a4*a6^2)+10560*(a0^2*a3*a4*a5*a6+a0*a1*a2*a3*a6^2)+2624*(a0*a1*a3*a4^2*a6+a0*a2^2*a3*a5*a6)-4432*a0*a1*a3^2*a5*a6-8*a2*a3^4*a4+a3^6-320*a1^3*a5^3+64*a1^2*a2*a4*a5^2+176*a1^2*a3^2*a5^2+128*a1*a2^2*a4^2*a5+112*a1*a2*a3^2*a4*a5-28*a1*a3^4*a5+16*a2^2*a3^2*a4^2+5120*a0^3*a6^3-2544*a0^2*a3^2*a6^2+312*a0*a3^4*a6-14336*a0^2*a2*a4*a6^2+1024*a0*a2^2*a4^2*a6-2560*a0^2*a1*a5*a6^2-2240*a0*a1^2*a5^2*a6-6528*a0*a1*a2*a4*a5*a6-1568*a0*a2*a3^2*a4*a6)(care, the minimal discriminant over Z[i] is smaller than over Z) a0;a1;a2;a3;a4;a5;a6;-5*a1^4+24*a0*(a1^2*a2-3*a0*a1*a3+6*a0^2*a4)a0;a1;a2;a3;a4;a5;a6;a1^5+3*a0*(-2*a1^3*a2+9*a0*a1^2*a3-36*a0^2*a1*a4+108*a0^3*a5)> ~  ~       ~ ۺ 0 %s%s y^2 = p= (I) (III) (IV) (VII) bug c3[III-[III*-[II-[IV*-[IV-[II*-(%ld)x(1)xH{%ld}x(2)x(2)x(1)x(3)x(3)x(1)xbug1 bug8 bug9 bug10 bug11 bug12 bug13 bug14 bug15 bug16 bug17 (%ld)(%ld)bug19 bug20 bug21 bug23 bug24 bug25 (9)(3)^2bug26 bug27 bug28 bug29 bug30 bug31 bug32 bug33 bug34 bug35 bug36 bug37 bug38 bug39 bug40 bug41 bug42 bug43 bug44 bug45 bug46 bug47 bug48 bug49 bug50 bug51 bug52 bug55 bug56 bug57 @8@@#@`   p- @`H(0    P @#@(@(@(@(@@*p_@@tPІP0AE E `p0R0)P p`   0 'Ш PptG 3  0Wp;`E0P#