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// FILE TNFD.CC: test program for nfd (d-dimensional newform) class
//////////////////////////////////////////////////////////////////////////
//
// 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 <iostream>
#include <eclib/interface.h>
#include <eclib/timer.h>
#include <eclib/marith.h>
#include <eclib/msubspace.h>
#include <eclib/moddata.h>
#include <eclib/symb.h>
#include <eclib/homspace.h>
#include <eclib/nfd.h>
#define OUTPUT_PARI_STYLE
//#define DEBUG
//#define COMPARE_OLD
int main()
{
// init_time();
cout << "Program tnfd." << endl;
#ifdef MODULAR
cout << "MODULUS for linear algebra = " << MODULUS << endl;
#endif
long n=1;
int plus=1;
int verbose=1;
int w_split=0;
int mult_one=0;
int one_p=0;
cout << "Verbose output? (0/1) "; cin >> verbose;
// cout << "Plus space (0/1)? "; cin >> plus;
while (cout<<"Enter level: ", cin>>n, n>0)
{
cout << ">>>Level " << n << "\t";
homspace hplus(n,plus,0,0);
int dimh = hplus.h1dim();
cout << "dimension = " << dimh << endl;
cout << "Split into W-eigenspaces (0/1)? ";
cin >> w_split;
cout << "Multiplicity 1 eigenspaces only? (0/1)? ";
cin >> mult_one;
cout << "Use just one T_p (1) or a linear combination (0)? ";
cin >> one_p;
nfd form = nfd(&hplus, one_p, w_split, mult_one, verbose);
long dims = dim(form.S);
if(dims==0) continue;
bigint den=form.dHS;
int i, ip, nap=5, bad;
cout<<"Number of ap? "; cin>>nap;
primevar pr; long p;
// start_time();
for(ip=0; ip<nap; ip++, pr++)
{
p=pr; bad = ::divides(p,n);
if(verbose)
{
mat_m tp = form.oldheckeop(p);
if(den>1) cout<<den<<"*";
cout<<"Matrix of ";
if(bad) cout<<"W("; else cout<<"T(";
cout <<p<<") = ";
showmatrix(tp);
vector<bigint> cptp = tp.charpoly();
for(i=0; i<dims; i++)
{
bigint temp = cptp[i];
divide_exact(temp,form.Hscales[dims-i],temp);
divide_exact(temp,form.Sscales[dims-i],temp);
cptp[i]=temp;
}
cout<<"char poly = "<<cptp<<endl;
}
vec_m apvec = form.ap(p);
if(bad) cout<<"w_"; else cout<<"a_";
cout<<p<<" = ";
if(dims==1)
{
cout<<apvec[1]<<endl;
}
else
{
cout<<apvec<<endl;
}
}
// stop_time();
// show_time();
cout<<endl;
}
exit(0);
} // end of main()
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