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