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// h1clist.cc -- Outputs table of curves computing a_i, r, |T|
//////////////////////////////////////////////////////////////////////////
//
// Copyright 1990-2012 John Cremona
//
// This file is part of the eclib package.
//
// eclib is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by the
// Free Software Foundation; either version 2 of the License, or (at your
// option) any later version.
//
// eclib is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
// FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
// for more details.
//
// You should have received a copy of the GNU General Public License
// along with eclib; if not, write to the Free Software Foundation,
// Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
//
//////////////////////////////////////////////////////////////////////////
//
#include <iomanip>
#include <eclib/moddata.h>
#include <eclib/symb.h>
#include <eclib/oldforms.h>
#include <eclib/homspace.h>
#include <eclib/cperiods.h> //from qcurves, for computing conductors
#include <eclib/newforms.h>
#include <eclib/periods.h>
#include <eclib/points.h>
#define AUTOLOOP
//#define BOOKORDER // if defined, sorts newforms/curves into order
// in the Book (relevant up to 500 only)
#include <eclib/curvesort.h>
#define LMFDB_ORDER // if defined, sorts newforms into LMFDB order before output
#define CURVE_IS_ONE_FIELD // outputs [a1,a2,a3,a4,a6]
// else outputs a1 a2 a3 a4 a6
int main(void)
{
int prec0 = 75;
int maxprec = 300;
int prec = prec0;
int delta_prec = 30;
set_precision(prec);
int limit,n=1;
string code;
#ifdef AUTOLOOP
cerr<<"Enter first and last N: ";cin>>n>>limit;
n--; cerr<<endl;
#ifdef CURVE_IS_ONE_FIELD
cerr << " N\tC\t#\t[a1,a2,a3,a4,a6]\tr\t|T|\tdeg(phi)" << endl;
#else
cerr << " N\tC\t#\ta1 a2 a3 a4 a6\tr\t|T|\tdeg(phi)" << endl;
#endif
cerr << "----------------------------------------------------------------------" << endl;
while (n<limit) { n++;
#else
while (n>0) { cout<<"Enter level: "; cin>>n;
#endif
if (n>0)
{
newforms nf(n,0);
int noldap=25;
nf.createfromdata(1,noldap,0); // do not create from scratch if data absent
int nnf = nf.n1ds;
int inf = 1;
if(nnf>0)
{
// cout<<"****************************"<<endl;
// cout<<"N="<<n<<" before sorting: "<<endl;
// cout<<"****************************"<<endl;
// for (inf=0; inf<nnf; inf++)
// {
// code = codeletter(inf);
// cout<<code<<": ";
// vec_out(cout,nf.nflist[inf].aplist,20); // outputs at most 20 eigs.
// cout<<endl;
// }
#ifdef LMFDB_ORDER
nf.sort();
#endif
// cout<<"****************************"<<endl;
// cout<<"N="<<n<<" after sorting: "<<endl;
// cout<<"****************************"<<endl;
// for (inf=0; inf<nnf; inf++)
// {
// code = codeletter(inf);
// cout<<code<<": ";
// vec_out(cout,nf.nflist[inf].aplist,20); // outputs at most 20 eigs.
// cout<<endl;
// }
// cout<<"****************************"<<endl;
}
for(int xi=0; xi<nnf; xi++)
{ int i=xi;
code = codeletter(xi);
#ifdef BOOKORDER
i=booknumber0(n,i);
#endif
newform& nfi = nf.nflist[i];
int degphi = nfi.degphi;
bigfloat rperiod;
int r = nfi.rank();
Curve C;
Curvedata CD;
CurveRed CR;
bigint nc; int nt;
bigint a1,a2,a3,a4,a6;
prec = prec0-delta_prec;
while (C.isnull() && (prec<maxprec))
{
prec += delta_prec;
set_precision(prec);
C = nf.getcurve(i, -1, rperiod);
CD = Curvedata(C,1); // The 1 causes minimalization
CR = CurveRed(CD);
nc = getconductor(CR);
if(n!=nc) C = Curve(); // wrong conductor; reset to null curve
}
if (C.isnull())
{
cout<<setw(6)<<n<<code<<": bad curve"<<endl;
continue;
}
CD.getai(a1,a2,a3,a4,a6);
nt = ntorsion(CD);
// cout.form("%4d\t%s\t1\t",n,code);
cout<<setw(6)<<n<<"\t"<<code<<"\t1\t";
#ifdef CURVE_IS_ONE_FIELD
cout<<"["<<a1<<","<<a2<<","<<a3<<","<<a4<<","<<a6<<"]";
#else
cout<<a1<<" "<<a2<<" "<<a3<<" "<<a4<<" "<<a6;
#endif
cout << "\t" << r << "\t" << nt << "\t" << degphi << endl;
}
} // end of if(n)
} // end of while()
} // end of main()
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