libec-dev 2013-01-01-1 / usr / include / eclib / nfd.h

// File NFD.H: class for newforms of any dimension
//////////////////////////////////////////////////////////////////////////
//
// Copyright 1990-2012 John Cremona
// 
// This file is part of the mwrank/g0n package.
// 
// mwrank 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.
// 
// mwrank 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 mwrank; if not, write to the Free Software Foundation,
// Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
// 
//////////////////////////////////////////////////////////////////////////

bigint inverse(const mat_m& a, mat_m& ainv);
void showmatrix(const mat_m& m);
void showmatrix(const mat& m);


class nfd {
private:
  mat_m tp0;  // a defining matrix
  mat_m V;
  mat_m W,Winv,WinvV,Winv_scaled;
  mat projcoord;
  long coord_fac;
  bigint Wdetnum, Wdetdenom;
  vector<bigint> minpol;  // min poly of alpha, field generator
public:
  vector<bigint> Hscales;
  vector<bigint> Sscales;
  msubspace S;   // the basis
  homspace* h1; // the ambient modular symbol space
  bigint dH, dS, dHS;
  nfd(void) {;}
  nfd(homspace* in_h1, int one_p, int w_split, int mult_one, int verbose=0);
  void display(void) const;
  mat_m oldheckeop(long p);
  mat_m heckeop(long p);
  vec_m ap(long p);
};