def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds): info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds) info["credit"] = "" info["learnmore"] = learnmore_list() mwf_logger.debug("args=%s" % request.args) mwf_logger.debug("method=%s" % request.method) mwf_logger.debug("req.form=%s" % request.form) mwf_logger.debug("info=%s" % info) mwf_logger.debug("level,weight,char={0},{1},{2}".format(level, weight, character)) if info.get('maass_id', None) and info.get('db', None): return render_one_maass_waveform_wp(**info) if info['search'] or (info['browse'] and int(info['weight']) != 0): search = get_search_parameters(info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) if info['browse']: mwf_logger.debug("browse info=%s" % info) return render_browse_all_eigenvalues(**info) info['cur_character'] = character if level > 0: info['maass_weight'] = maass_db.weights(int(level)) info['cur_level'] = level if weight > -1: info['cur_weight'] = weight if level > 0: info['maass_character'] = maass_db.characters(int(level), float(weight)) if character > - 1: info['cur_character'] = character if level > 0 or weight > -1 or character > -1: search = get_search_parameters(info) mwf_logger.debug("info=%s" % info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) title = 'Maass Forms' info['list_of_levels'] = maass_db.levels() if info['list_of_levels']: info['max_level'] = max(info['list_of_levels']) else: info['max_level'] = 0 mwf_logger.debug("info3=%s" % info) bread = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] info['bread'] = bread info['title'] = title maass_db.set_table() maass_db.table['ncols'] = 10 info['DB'] = maass_db info['dbcount'] = maass_db.count() info['limit'] = maxNumberOfResultsToShow return render_template("mwf_navigate.html", **info)
def __init__(self, skip=[0, 0], limit=[6, 10], keys=['Level', 'Eigenvalue'], weight=0): r""" Skip tells you how many chunks of data you want to skip (from the beginning) and limit tells you how large each chunk is. """ self.keys = keys if not isinstance(skip, list): self.skip = [skip, skip] if not isinstance(limit, list): self.limit = [limit, limit] mwf_logger.debug("count={0}".format(maass_db.count())) self.title = '' self.table = [] self.wt = weight self.paging = []
def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds): info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds) info[ "credit"] = u"Data computed by Stefan Lemurell and Fredrik Str\u00f6mberg." info["bread"] = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] info["learnmore"] = learnmore_list() mwf_logger.debug("args=%s" % request.args) mwf_logger.debug("method=%s" % request.method) mwf_logger.debug("req.form=%s" % request.form) mwf_logger.debug("info=%s" % info) mwf_logger.debug("level,weight,char={0},{1},{2}".format( level, weight, character)) if info.get('maass_id', None) and info.get('db', None): return render_one_maass_waveform_wp(**info) if info['search'] or (info['browse'] and int(info['weight']) != 0): # This isn't the right place to do input validation, but it is easier to flash errors here (this is a hack to address issue #1820) if info.get('level_range'): if not re.match(POSINT_RE, info['level_range']): if "-" in info['level_range']: info['level_range'] = "..".join( info['level_range'].split("-")) if not re.match(POSINT_RANGE_RE, info['level_range']): flash_error( "%s is not a level, please specify a positive integer <span style='color:black'>n</span> or postivie integer range <span style='color:black'>m..n</span>.", info['level_range']) return render_template('mwf_navigate.html', **info) if info['character'] != -1: if info['character'] == '1' or info['character'] == '1.1': info['character'] = '1' else: try: N = int(info.get('level_range', '0')) except: flash_error( "Only the trivial character can be specified in combination with a range of levels.", info['character']) return render_template('mwf_navigate.html', **info) if re.match(POSINT_RE, info['character']): if N == 0: flash_error( "Character %s is ambiguous. Please either specify a level or use a character label of the form <span style='color:black'>q.n</span>, where q specifies the level.", info['character']) return render_template('mwf_navigate.html', **info) n = int(info['character']) if gcd(N, n) != 1: flash_error( "Character %s is not coprime to the level %s.", info['character'], str(N)) return render_template('mwf_navigate.html', **info) else: if not re.match(r'^[1-9][0-9]*\.[1-9][0-9]*$', info['character']): flash_error( "%s is not a valid label for a Dirichlet character. It should be either be 1 (for the trivial character) or of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.", info['character']) return render_template('mwf_navigate.html', **info) s = info['character'].split('.') q, n = int(s[0]), int(s[1]) if n > q or gcd(q, n) != 1: flash_error( "%s is not a valid label for a Dirichlet character. It should be of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.", info['character']) return render_template('mwf_navigate.html', **info) if N > 0 and q != N: flash_error( "The specified character %s is not compatible with the level %s.", info['character'], info['level']) return render_template('mwf_navigate.html', **info) info['level_range'] = str(q) info['character'] = str(n) if info['weight'] != -1: if not re.match(INT_RE, info['weight']): flash_error( "%s is not a valid weight. It should be a nonnegative integer.", info['weight']) return render_template('mwf_navigate.html', **info) if info.get('ev_range'): if not re.match(FLOAT_RE, info['ev_range']): if "-" in info['ev_range']: info['ev_range'] = "..".join(info['ev_range'].split("-")) s = info['ev_range'].split("..") if len(s) != 2: flash_error( "%s is not a valid eigenvalue range. It should be postive real interval.", info['ev_range']) return render_template('mwf_navigate.html', **info) if not re.match(FLOAT_RE, s[0]) or not re.match( FLOAT_RE, s[1]): flash_error( "%s is not a valid eigenvalue range. It should be postive real interval.", info['ev_range']) return render_template('mwf_navigate.html', **info) search = get_search_parameters(info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) if info['browse']: mwf_logger.debug("browse info=%s" % info) return render_browse_all_eigenvalues(**info) info['cur_character'] = character if level > 0: info['maass_weight'] = maass_db.weights(int(level)) info['cur_level'] = level if weight > -1: info['cur_weight'] = weight if level > 0: info['maass_character'] = maass_db.characters( int(level), float(weight)) if character > -1: info['cur_character'] = character if level > 0 or weight > -1 or character > -1: search = get_search_parameters(info) mwf_logger.debug("info=%s" % info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) title = 'Maass Forms' info['list_of_levels'] = maass_db.levels() if info['list_of_levels']: info['max_level'] = max(info['list_of_levels']) else: info['max_level'] = 0 mwf_logger.debug("info3=%s" % info) bread = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] info['bread'] = bread info['title'] = title maass_db.set_table() maass_db.table['ncols'] = 10 info['DB'] = maass_db info['dbcount'] = maass_db.count() info['limit'] = maxNumberOfResultsToShow return render_template("mwf_navigate.html", **info)
def evs_table2(search, twodarray=False, limit=50, offset=0): r""" Returns an object containing the results of a search for Maass forms. """ table = [] nrows = 0 fs = maass_db.get_Maass_forms(search, limit=limit, offset=offset) mwf_logger.debug("numrec:{0}".format(len(fs))) for f in fs: # indices: row = {} R = f.get('Eigenvalue', None) N = f.get('Level', None) k = f.get('Weight', None) if R is None or N is None or k is None: continue row['R'] = R row['N'] = N if k == 0 or k == 1: row['k'] = int(k) else: row['k'] = k ## chi = f.get('Character', 0) ## Now get the COnrey number. ## First the character if k == 0: url = url_for('characters.render_Dirichletwebpage', modulus=N, number=chi) s = "<a href={0}>{1}</a>".format(url, chi) row['ch'] = s else: row['ch'] = "eta" st = f.get('Symmetry', -1) if st == 1: st = "odd" elif st == 0: st = "even" else: st = "n/a" row['symmetry'] = st er = f.get('Error', 0) if er > 0: er = "{0:1.0e}".format(float(er)) else: er = "unknown" row['err'] = er dim = f.get('Dim', 0) if dim is None: dim = 1 # "undefined" row['dim'] = dim numc = f.get('Numc', 0) row['numc'] = numc cev = f.get('Cusp_evs', []) row['fricke'] = 'n/a' row['cuspevs'] = 'n/a' if row['k'] == 0 and isinstance(cev, list): if len(cev) > 1: fricke = cev[1] row['fricke'] = fricke s = '{0}'.format(cev[0]) for j in range(1, len(cev)): s += ",{0}".format(cev[j]) elif len(cev) == 1: s = str(cev[0]) elif len(cev) == 0: s = 'n/a' row['cuspevs'] = s url = url_for('mwf.render_one_maass_waveform', maass_id=f.get('maass_id')) row['url'] = url nrows += 1 if twodarray: s = '<a href="{0}">{1}</a>'.format(row['url'], row['R']) rowr = [ row['N'], row['k'], row['ch'], s, row['symmetry'], row['err'], row['dim'], row['numc'], row['fricke'], row['cuspevs'] ] table.append(rowr) else: # row=row.values() table.append(row) mwf_logger.debug("nrows:".format(nrows)) evs = {'table': {}} evs['table']['data'] = table evs['table']['nrows'] = nrows evs['table']['ncols'] = 10 evs['table']['colheads'] = [] knowls = [ 'mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character', 'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry', 'mf.maass.mwf.precision', 'mf.maass.mwf.dimension', 'mf.maass.mwf.ncoefficients', 'cmf.fricke', 'cmf.atkin-lehner' ] titles = [ 'Level', 'Weight', 'Char', 'Eigenvalue', 'Symmetry', 'Precision', 'Mult.', 'Coeff.', 'Fricke', 'Atkin-Lehner' ] for i in range(10): evs['table']['colheads'].append((knowls[i], titles[i])) if 'limit' in search: search.pop('limit') if 'skip' in search: search.pop('skip') evs['totalrecords'] = maass_db.count(search) evs['totalrecords_filtered'] = len(fs) return evs
def render_one_maass_waveform_wp(info, prec=9): r""" Render the webpage of one Maass waveform. The precision kwarg `prec` is passed to the coefficient table, and indicates to round to 0 when the difference is less than 1e-`prec`. """ info["check"] = [] maass_id = info['maass_id'] mwf_logger.debug("id1={0}".format(maass_id)) try: MF = WebMaassForm(maass_id) except KeyError: return flask.abort(404) info['MF'] = MF info['title'] = "Maass Form" info['bread'] = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] if hasattr(MF, 'level'): info['bread'].append(('Level {0}'.format(MF.level), url_for('.render_maass_waveforms', level=MF.level))) info['title'] += r" on \(\Gamma_{0}( %s )\)" % info['MF'].level if hasattr(MF, 'R') and MF.R: info['title'] += r" with \(R=%s\)" % info['MF'].R # make sure all the expected attributes of a WebMaassForm are actually present missing = [ attr for attr in ['level', 'dim', 'num_coeff', 'R', 'character'] if not hasattr(MF, attr) ] if missing: mwf_logger.critical( "Unable to render Maass form {0}; required attributes {1} missing from database record." .format(maass_id, missing)) info['explain'] = "Unable to render Maass form {0} because the following required attributes were missing from the database record:".format(maass_id) \ + "<ul>" + "".join(["<li>"+attr+"</li>" for attr in missing]) + "</ul>" return render_template("problem.html", **info) level = info['MF'].level dim = info['MF'].dim # numc = info['MF'].num_coeff # never used # if info['MF'].has_plot(): # and level == 1: # Bara level = 1 har rätt format för tillfället //Lemurell # info['plotlink'] = url_for('mwf.plot_maassform', maass_id=maass_id) # Create the link to the L-function (put in '/L' at the beginning and '/' before '?' Llink = "/L" + url_for('mwf.render_one_maass_waveform', maass_id=maass_id) # + '/?db=' + info['db'] if dim == 1: info["friends"] = [("L-function", Llink)] # Navigation to previous and next form # next_form_id = info['MF'].next_maassform_id() # if next_form_id: # next_data = ('next', r"$f_{\text next}$", url_for('mwf.render_one_maass_waveform', maass_id = next_form_id) ) # else: # next_data = ('','','') # prev_form_id = info['MF'].prev_maassform_id() # if prev_form_id: # prev_data = ('previous', r"$f_{\text prev}$", url_for('mwf.render_one_maass_waveform', maass_id = prev_form_id) ) # else: # prev_data = ('','','') # info['navi'] = ( prev_data, next_data ) info["downloads"] = [('All stored data of the form', url_for('mwf.render_one_maass_waveform', maass_id=maass_id, download='all')), ('All coefficients of the form', url_for('mwf.render_one_maass_waveform', maass_id=maass_id, download='coefficients'))] mwf_logger.debug("count={0}".format(maass_db.count())) ch = info['MF'].character s = r"\( \chi_{" + str(level) + "}(" + str(ch) + r",\cdot) \)" # Q: Is it possible to get the knowls into the properties? # A: Not in a nice way and this is not done elsewhere in the LMFDB; the knowls should appear on labels in the template # knowls = {'level': 'mf.maass.mwf.level', # 'weight': 'mf.maass.mwf.weight', # 'char': 'mf.maass.mwf.character', # 'R': 'mf.maass.mwf.eigenvalue', # 'sym': 'mf.maass.mwf.symmetry', # 'prec': 'mf.maass.mwf.precision', # 'mult': 'mf.maass.mwf.dimension', # 'ncoeff': 'mf.maass.mwf.ncoefficients', # 'fricke': 'cmf.fricke', # 'atkinlehner': 'cmf.atkin-lehner'} properties = [ ('Level', [info['MF'].level]), ('Symmetry', [info['MF'].even_odd()]), ('Weight', [info['MF'].the_weight()]), ('Character', [s]), ('Multiplicity', [dim]), ('Precision', [info['MF'].precision()]), ('Fricke Eigenvalue', [info['MF'].fricke()]), ('Atkin-Lehner Eigenvalues', [info['MF'].atkinlehner()]), ] if dim > 1 and info['MF'].the_character() == "trivial": properties.append(("Possibly oldform", [])) info['properties'] = properties # The precision in set_table indicates which coefficients to set to zero. # For instance, if the imaginary part is less than the precision in # absolute value, then it is set to 0 in set_table. # The value 1e-9 is chosen arbitrarily, as recommended in issue #2076. info['MF'].set_table(prec=prec) cols = [{ "aaSorting": "asc", "sWidth": "10%", "bSortable": "true", "bSearchable": "false", "sType": "numeric" }] negc = info['MF'].table.get('negc', 0) for j in range(dim): if not negc: col = { "bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric" } cols.append(col) else: col1 = { "bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric" } col2 = { "bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric" } cols.append(col1) cols.append(col2) info['credit'] = info['MF'].contributor_name info['coeff_aoColumns'] = cols # json.dumps(cols) mwf_logger.debug("col={0}".format(cols)) return render_template("mwf_one_form.html", **info)
def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds): info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds) info["credit"] = "" info["learnmore"] = [] mwf_logger.debug("args=%s" % request.args) mwf_logger.debug("method=%s" % request.method) mwf_logger.debug("req.form=%s" % request.form) mwf_logger.debug("info=%s" % info) mwf_logger.debug("level,weight,char={0},{1},{2}".format( level, weight, character)) if info.get('maass_id', None) and info.get('db', None): return render_one_maass_waveform_wp(**info) if info['search'] or (info['browse'] and int(info['weight']) != 0): search = get_search_parameters(info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) if info['browse']: mwf_logger.debug("browse info=%s" % info) return render_browse_all_eigenvalues(**info) info['cur_character'] = character if level > 0: info['maass_weight'] = maass_db.weights(int(level)) info['cur_level'] = level if weight > -1: info['cur_weight'] = weight if level > 0: info['maass_character'] = maass_db.characters( int(level), float(weight)) if character > -1: info['cur_character'] = character if level > 0 or weight > -1 or character > -1: search = get_search_parameters(info) mwf_logger.debug("info=%s" % info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) title = 'Maass Forms' info['list_of_levels'] = maass_db.levels() if info['list_of_levels']: info['max_level'] = max(info['list_of_levels']) else: info['max_level'] = 0 mwf_logger.debug("info3=%s" % info) bread = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] info['bread'] = bread info['title'] = title maass_db.set_table() maass_db.table['ncols'] = 10 info['DB'] = maass_db info['dbcount'] = maass_db.count() info['limit'] = maxNumberOfResultsToShow return render_template("mwf_navigate.html", **info)
def set_table(self, data={}): # data = maass_db.get_search_parameters(data,kwds mwf_logger.debug("set table, data = {0}".format(data)) mwf_logger.debug("skip= {0}".format(self.skip)) mwf_logger.debug("limit= {0}".format(self.limit)) self.table = [] data['skip'] = self.skip data['limit'] = self.limit l1 = self.keys.index('Level') level_ll = (self.skip[l1]) * self.limit[l1] level_ul = (self.skip[l1] + 1) * self.limit[l1] ev_limit = self.limit[self.keys.index('Eigenvalue')] ev_skip = self.skip[self.keys.index('Eigenvalue')] * ev_limit new_cols = [] levels = maass_db.levels() mwf_logger.debug("levels= {0}".format(levels)) cur_level = data.get('level', None) cur_wt = data.get('weight', None) print("cur_level=", cur_level) print("cur_wt=", cur_wt) for N in levels: if cur_level and cur_level != N: continue N = int(N) if N < level_ll or N > level_ul: continue print("N=", N) weights = maass_db.weights(N) print("weights=", weights) self.wt = weights for k in weights: if cur_wt is not None and cur_wt != k: continue print("k=", k) k = int(k) evs = [] query = {'Level': N, 'Weight': k} totalc = maass_db.count(query) finds = maass_db.get_Maass_forms(query, limit=ev_limit, offset=ev_skip) for rec in finds: row = {} maass_id = rec.get('_id', None) row['R'] = rec.get('Eigenvalue', None) row['st'] = rec.get("Symmetry") row['cusp_evs'] = rec.get("Cusp_evs") row['err'] = rec.get('Error', 0) row['url'] = url_for('mwf.render_one_maass_waveform', maass_id=maass_id) row['numc'] = rec.get('Numc', 0) evs.append(row) kmax = int(totalc / ev_limit) paging = [] for j in range(ev_skip, kmax): k0 = (j) * ev_limit k1 = (j + 1) * ev_limit url = url_for('mwf.render_maass_waveforms', level=N, weight=k, skip=ev_skip + j, limit=ev_limit) skip = { 'url': url, 'k0': k0, 'k1': k1, 'cur_skip': ev_skip, 'cur_limit': ev_limit, "skip": j } paging.append(skip) # s+="]" self.paging = paging smalltbl = {'N': N, 'k': k, 'evs': evs, 'paging': paging} if len(evs) > 0: self.table.append(smalltbl) print("table=", self.table) self.cols = new_cols
def set_table(self, data={}): # data = maass_db.get_search_parameters(data,kwds mwf_logger.debug("set table, data = {0}".format(data)) mwf_logger.debug("skip= {0}".format(self.skip)) mwf_logger.debug("limit= {0}".format(self.limit)) self.table = [] data['skip'] = self.skip data['limit'] = self.limit l1 = self.keys.index('Level') level_ll = (self.skip[l1]) * self.limit[l1] level_ul = (self.skip[l1] + 1) * self.limit[l1] ev_limit = self.limit[self.keys.index('Eigenvalue')] ev_skip = self.skip[self.keys.index('Eigenvalue')] * ev_limit new_cols = [] levels = maass_db.levels() mwf_logger.debug("levels= {0}".format(levels)) cur_level = data.get('level', None) cur_wt = data.get('weight', None) print "cur_level=", cur_level print "cur_wt=", cur_wt for N in levels: if cur_level and cur_level != N: continue N = int(N) if N < level_ll or N > level_ul: continue print "N=", N weights = maass_db.weights(N) print "weights=", weights self.wt = weights for k in weights: if cur_wt is not None and cur_wt != k: continue print "k=", k k = int(k) evs = [] query = {'Level': N, 'Weight': k} totalc = maass_db.count(query) finds = maass_db.get_Maass_forms(query, limit=ev_limit, offset=ev_skip) for rec in finds: row = {} maass_id = rec.get('_id', None) row['R'] = rec.get('Eigenvalue', None) row['st'] = rec.get("Symmetry") row['cusp_evs'] = rec.get("Cusp_evs") row['err'] = rec.get('Error', 0) row['url'] = url_for('mwf.render_one_maass_waveform', maass_id=maass_id) row['numc'] = rec.get('Numc', 0) evs.append(row) kmax = int(totalc / ev_limit) paging = [] for j in range(ev_skip, kmax): k0 = (j) * ev_limit k1 = (j + 1) * ev_limit url = url_for( 'mwf.render_maass_waveforms', level=N, weight=k, skip=ev_skip + j, limit=ev_limit) skip = {'url': url, 'k0': k0, 'k1': k1, 'cur_skip': ev_skip, 'cur_limit': ev_limit, "skip": j} paging.append(skip) # s+="]" self.paging = paging smalltbl = {'N': N, 'k': k, 'evs': evs, 'paging': paging} if len(evs) > 0: self.table.append(smalltbl) print "table=", self.table self.cols = new_cols
def evs_table2(search, twodarray=False, limit=50, offset=0): r""" Returns an object containing the results of a search for Maass forms. """ table = [] nrows = 0 fs = maass_db.get_Maass_forms(search, limit=limit, offset=offset) mwf_logger.debug("numrec:{0}".format(len(fs))) for f in fs: # indices: row = {} R = f.get('Eigenvalue', None) N = f.get('Level', None) k = f.get('Weight', None) if R is None or N is None or k is None: continue row['R'] = R row['N'] = N if k == 0 or k == 1: row['k'] = int(k) else: row['k'] = k ## chi = f.get('Character', 0) ## Now get the COnrey number. ## First the character if k == 0: url = url_for('characters.render_Dirichletwebpage', modulus=N, number=chi) s = "<a href={0}>{1}</a>".format(url, chi) row['ch'] = s else: row['ch'] = "eta" st = f.get('Symmetry', -1) if st == 1: st = "odd" elif st == 0: st = "even" else: st = "n/a" row['symmetry'] = st er = f.get('Error', 0) if er > 0: er = "{0:1.0e}".format(float(er)) else: er = "unknown" row['err'] = er dim = f.get('Dim', 0) if dim is None: dim = 1 # "undefined" row['dim'] = dim numc = f.get('Numc', 0) row['numc'] = numc cev = f.get('Cusp_evs', []) row['fricke'] = 'n/a' row['cuspevs'] = 'n/a' if row['k'] == 0 and isinstance(cev, list): if len(cev) > 1: fricke = cev[1] row['fricke'] = fricke s = '{0}'.format(cev[0]) for j in range(1, len(cev)): s += ",{0}".format(cev[j]) elif len(cev) == 1: s = str(cev[0]) elif len(cev) == 0: s = 'n/a' row['cuspevs'] = s url = url_for('mwf.render_one_maass_waveform', maass_id=f.get('maass_id')) row['url'] = url nrows += 1 if twodarray: s = '<a href="{0}">{1}</a>'.format(row['url'], row['R']) rowr = [row['N'], row['k'], row['ch'], s, row['symmetry'], row['err'], row['dim'], row['numc'], row['fricke'], row['cuspevs']] table.append(rowr) else: # row=row.values() table.append(row) mwf_logger.debug("nrows:".format(nrows)) evs = {'table': {}} evs['table']['data'] = table evs['table']['nrows'] = nrows evs['table']['ncols'] = 10 evs['table']['colheads'] = [] knowls = ['mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character', 'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry', 'mf.maass.mwf.precision', 'mf.maass.mwf.dimension', 'mf.maass.mwf.ncoefficients', 'mf.maass.mwf.fricke', 'mf.maass.mwf.atkinlehner'] titles = ['Level', 'Weight', 'Char', 'Eigenvalue', 'Symmetry', 'Precision', 'Mult.', 'Coeff.', 'Fricke', 'Atkin-Lehner'] for i in range(10): evs['table']['colheads'].append((knowls[i], titles[i])) if 'limit' in search: search.pop('limit') if 'skip' in search: search.pop('skip') evs['totalrecords'] = maass_db.count(search) evs['totalrecords_filtered'] = len(fs) return evs
def render_one_maass_waveform_wp(info, prec=9): r""" Render the webpage of one Maass waveform. The precision kwarg `prec` is passed to the coefficient table, and indicates to round to 0 when the difference is less than 1e-`prec`. """ info["check"] = [] maass_id = info['maass_id'] mwf_logger.debug("id1={0}".format(maass_id)) try: MF = WebMaassForm(maass_id) except KeyError: return flask.abort(404) info['MF'] = MF info['title'] = "Maass Form" info['bread'] = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Waveforms', url_for('.render_maass_waveforms'))] if hasattr(MF,'level'): info['bread'].append(('Level {0}'.format(MF.level), url_for('.render_maass_waveforms', level=MF.level))) info['title'] += " on \(\Gamma_{0}( %s )\)" % info['MF'].level if hasattr(MF, 'R') and MF.R: info['title'] += " with \(R=%s\)" % info['MF'].R # make sure all the expected attributes of a WebMaassForm are actually present missing = [attr for attr in ['level', 'dim', 'num_coeff', 'R', 'character'] if not hasattr(MF, attr)] if missing: mwf_logger.critical("Unable to render Maass form {0}; required attributes {1} missing from database record.".format(maass_id,missing)) info['explain'] = "Unable to render Maass form {0} because the following required attributes were missing from the database record:".format(maass_id) \ + "<ul>" + "".join(["<li>"+attr+"</li>" for attr in missing]) + "</ul>" return render_template("problem.html", **info) level = info['MF'].level dim = info['MF'].dim # numc = info['MF'].num_coeff # never used # if info['MF'].has_plot(): # and level == 1: # Bara level = 1 har rätt format för tillfället //Lemurell # info['plotlink'] = url_for('mwf.plot_maassform', maass_id=maass_id) # Create the link to the L-function (put in '/L' at the beginning and '/' before '?' Llink = "/L" + url_for('mwf.render_one_maass_waveform', maass_id=maass_id) # + '/?db=' + info['db'] if dim == 1: info["friends"] = [("L-function", Llink)] # Navigation to previous and next form next_form_id = info['MF'].next_maassform_id() if next_form_id: next_data = ('next', r"$f_{\text next}$", url_for('mwf.render_one_maass_waveform', maass_id = next_form_id) ) else: next_data = ('','','') prev_form_id = info['MF'].prev_maassform_id() if prev_form_id: prev_data = ('previous', r"$f_{\text prev}$", url_for('mwf.render_one_maass_waveform', maass_id = prev_form_id) ) else: prev_data = ('','','') info['navi'] = ( prev_data, next_data ) info["downloads"] = [ ('All stored data of the form', url_for('mwf.render_one_maass_waveform', maass_id=maass_id, download='all')), ('All coefficients of the form', url_for('mwf.render_one_maass_waveform', maass_id=maass_id, download='coefficients')) ] mwf_logger.debug("count={0}".format(maass_db.count())) ch = info['MF'].character s = "\( \chi_{" + str(level) + "}(" + str(ch) + ",\cdot) \)" # Q: Is it possible to get the knowls into the properties? # A: Not in a nice way and this is not done elsewhere in the LMFDB; the knowls should appear on labels in the template # knowls = {'level': 'mf.maass.mwf.level', # 'weight': 'mf.maass.mwf.weight', # 'char': 'mf.maass.mwf.character', # 'R': 'mf.maass.mwf.eigenvalue', # 'sym': 'mf.maass.mwf.symmetry', # 'prec': 'mf.maass.mwf.precision', # 'mult': 'mf.maass.mwf.dimension', # 'ncoeff': 'mf.maass.mwf.ncoefficients', # 'fricke': 'mf.maass.mwf.fricke', # 'atkinlehner': 'mf.maass.mwf.atkinlehner'} properties = [('Level', [info['MF'].level]), ('Symmetry', [info['MF'].even_odd()]), ('Weight', [info['MF'].the_weight()]), ('Character', [s]), ('Multiplicity', [dim]), ('Precision', [info['MF'].precision()]), ('Fricke Eigenvalue', [info['MF'].fricke()]), ('Atkin-Lehner Eigenvalues', [info['MF'].atkinlehner()]), ] if dim > 1 and info['MF'].the_character() == "trivial": properties.append(("Possibly oldform", [])) info['properties2'] = properties # The precision in set_table indicates which coefficients to set to zero. # For instance, if the imaginary part is less than the precision in # absolute value, then it is set to 0 in set_table. # The value 1e-9 is chosen arbitrarily, as recommended in issue #2076. info['MF'].set_table(prec=prec) cols = [{"aaSorting": "asc", "sWidth": "10%", "bSortable": "true", "bSearchable": "false", "sType": "numeric"}] negc = info['MF'].table.get('negc', 0) for j in range(dim): if not negc: col = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric"} cols.append(col) else: col1 = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric"} col2 = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric"} cols.append(col1) cols.append(col2) info['credit'] = info['MF'].contributor_name info['coeff_aoColumns'] = cols # json.dumps(cols) mwf_logger.debug("col={0}".format(cols)) return render_template("mwf_one_form.html", **info)
def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds): info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds) info["credit"] = "" info["learnmore"] = learnmore_list() mwf_logger.debug("args=%s" % request.args) mwf_logger.debug("method=%s" % request.method) mwf_logger.debug("req.form=%s" % request.form) mwf_logger.debug("info=%s" % info) mwf_logger.debug("level,weight,char={0},{1},{2}".format(level, weight, character)) if info.get('maass_id', None) and info.get('db', None): return render_one_maass_waveform_wp(**info) if info['search'] or (info['browse'] and int(info['weight']) != 0): # This isn't the right place to do input validation, but it is easier to flash errors here (this is a hack to address issue #1820) if info.get('level_range'): if not re.match(POSINT_RE, info['level_range']): if "-" in info['level_range']: info['level_range'] = "..".join(info['level_range'].split("-")) if not re.match(POSINT_RANGE_RE, info['level_range']): flash_error("%s is not a level, please specify a positive integer <span style='color:black'>n</span> or postivie integer range <span style='color:black'>m..n</span>.", info['level_range']) return render_template('mwf_navigate.html', **info) if info['character'] != -1: try: N = int(info.get('level_range','0')) except: flash_error("Character %s cannot be specified in combination with a range of levels.", info['character']) return render_template('mwf_navigate.html', **info) if not re.match(r'^[1-9][0-9]*\.[1-9][0-9]*$', info['character']): flash_error("%s is not a valid label for a Dirichlet character. It should be of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.", info['character']) return render_template('mwf_navigate.html', **info) s = info['character'].split('.') q,n = int(s[0]), int(s[1]) if n > q or gcd(q,n) != 1 or (N > 0 and q != N): flash_error("%s is not a valid label for a Dirichlet character. It should be of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.", info['character']) return render_template('mwf_navigate.html', **info) info['level_range'] = str(q) info['character'] = str(n) if info['weight'] != -1: if not re.match(INT_RE, info['weight']): flash_error("%s is not a valid weight. It should be a nonnegative integer.", info['weight']) return render_template('mwf_navigate.html', **info) if info.get('ev_range'): if not re.match(FLOAT_RE,info['ev_range']): if "-" in info['ev_range']: info['ev_range'] = "..".join(info['ev_range'].split("-")) s = info['ev_range'].split("..") if len(s) != 2: flash_error("%s is not a valid eigenvalue range. It should be postive real interval.", info['ev_range']) return render_template('mwf_navigate.html', **info) if not re.match(FLOAT_RE,s[0]) or not re.match(FLOAT_RE,s[1]): flash_error("%s is not a valid eigenvalue range. It should be postive real interval.", info['ev_range']) return render_template('mwf_navigate.html', **info) search = get_search_parameters(info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) if info['browse']: mwf_logger.debug("browse info=%s" % info) return render_browse_all_eigenvalues(**info) info['cur_character'] = character if level > 0: info['maass_weight'] = maass_db.weights(int(level)) info['cur_level'] = level if weight > -1: info['cur_weight'] = weight if level > 0: info['maass_character'] = maass_db.characters(int(level), float(weight)) if character > - 1: info['cur_character'] = character if level > 0 or weight > -1 or character > -1: search = get_search_parameters(info) mwf_logger.debug("info=%s" % info) mwf_logger.debug("search=%s" % search) return render_search_results_wp(info, search) title = 'Maass Forms' info['list_of_levels'] = maass_db.levels() if info['list_of_levels']: info['max_level'] = max(info['list_of_levels']) else: info['max_level'] = 0 mwf_logger.debug("info3=%s" % info) bread = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] info['bread'] = bread info['title'] = title maass_db.set_table() maass_db.table['ncols'] = 10 info['DB'] = maass_db info['dbcount'] = maass_db.count() info['limit'] = maxNumberOfResultsToShow return render_template("mwf_navigate.html", **info)