Magma V2.21-9 Fri Mar 11 2016 08:19:00 on lehner [Seed = 2319119924] Type ? for help. Type -D to quit. Loading startup file "/home/samir/.magmarc" +++++++++++++++++++++ Treating the case p= 5 treating the case 5 doesn't divide x the space of newforms is trivial treating the case 5 divides x the space of newforms is trivial +++++++++++++++++++++ Treating the case p= 7 treating the case 7 doesn't divide x the space of newforms is trivial treating the case 7 divides x +++++++++++ Dealing with the 1 -th eigenform this has Hecke eigenvalue field of degree 1 Factoristion of B_S(ff) [ <2, 8>, <3, 5>, <7, 6> ] surviving primes ell= [] list S of primes used in the sieve= [ 3 ] +++++++++++++++++++++ Treating the case p= 11 treating the case 11 doesn't divide x +++++++++++ Dealing with the 2 -th eigenform this has Hecke eigenvalue field of degree 2 Factoristion of B_S(ff) [] surviving primes ell= [] list S of primes used in the sieve= [ 23, 43 ] treating the case 11 divides x +++++++++++ Dealing with the 3 -th eigenform this has Hecke eigenvalue field of degree 5 Factoristion of B_S(ff) [] surviving primes ell= [] list S of primes used in the sieve= [ 23, 43 ] +++++++++++ Dealing with the 4 -th eigenform this has Hecke eigenvalue field of degree 5 Factoristion of B_S(ff) [] surviving primes ell= [] list S of primes used in the sieve= [ 23, 43 ] +++++++++++++++++++++ Treating the case p= 13 treating the case 13 doesn't divide x +++++++++++ Dealing with the 5 -th eigenform this has Hecke eigenvalue field of degree 1 Factoristion of B_S(ff) [ <2, 6240>, <3, 312> ] surviving primes ell= [] list S of primes used in the sieve= [ 79, 103 ] +++++++++++ Dealing with the 6 -th eigenform this has Hecke eigenvalue field of degree 1 Factoristion of B_S(ff) [ <2, 12792>, <3, 234> ] surviving primes ell= [] list S of primes used in the sieve= [ 79, 103 ] +++++++++++ Dealing with the 7 -th eigenform this has Hecke eigenvalue field of degree 2 Factoristion of B_S(ff) [ <2, 10608>, <3, 624> ] surviving primes ell= [] list S of primes used in the sieve= [ 79, 103 ] +++++++++++ Dealing with the 8 -th eigenform this has Hecke eigenvalue field of degree 3 Factoristion of B_S(ff) [ <2, 18720>, <3, 936> ] surviving primes ell= [] list S of primes used in the sieve= [ 79, 103 ] treating the case 13 divides x +++++++++++ Dealing with the 9 -th eigenform this has Hecke eigenvalue field of degree 1 Factoristion of B_S(ff) [ <7, 2> ] surviving primes ell= [ 7 ] list S of primes used in the sieve= [ 3, 5, 31, 47 ] +++++++++++ Dealing with the 10 -th eigenform this has Hecke eigenvalue field of degree 1 Factoristion of B_S(ff) [ <3, 7> ] surviving primes ell= [] list S of primes used in the sieve= [ 3, 5, 31, 47 ] +++++++++++ Dealing with the 11 -th eigenform this has Hecke eigenvalue field of degree 3 Factoristion of B_S(ff) [ <7, 6> ] surviving primes ell= [ 7 ] list S of primes used in the sieve= [ 3, 5, 31, 47 ] +++++++++++ Dealing with the 12 -th eigenform this has Hecke eigenvalue field of degree 3 Factoristion of B_S(ff) [] surviving primes ell= [] list S of primes used in the sieve= [ 3, 5, 31, 47 ] Total time: 222.650 seconds, Total memory usage: 560.62MB