def show():
args = request.args
objLinks = args # an immutable dict of links to objects to tp
objPaths = []
for k, v in objLinks.items():
objPaths.append(v.split('/'))
galoisRepObjs = []
for p in objPaths:
galoisRepObjs.append(galois_rep_from_path(p))
if len(galoisRepObjs)==1:
gr = galoisRepObjs[0]
gr.lfunction()
info = {}
info['dirichlet'] = lfuncDShtml(gr, "analytic")
info['eulerproduct'] = lfuncEPtex(gr, "abstract")
info['functionalequation'] = lfuncFEtex(gr, "analytic")
info['functionalequationSelberg'] = lfuncFEtex(gr, "selberg")
info['bread'] = get_bread()
return render_template('Lfunction.html', **info)
# currently only implemented tp of two things
if len(galoisRepObjs)==2:
try:
tp = GaloisRepresentation([galoisRepObjs[0], galoisRepObjs[1]])
tp.lfunction()
info = {}
info['dirichlet'] = lfuncDShtml(tp, "analytic")
info['eulerproduct'] = lfuncEPtex(tp, "abstract")
info['functionalequation'] = lfuncFEtex(tp, "analytic")
info['functionalequationSelberg'] = lfuncFEtex(tp, "selberg")
properties = [('Root number', '$'+str(tp.root_number()).replace('*','').replace('I','i')+'$'),
('Dimension', '$'+str(tp.dimension())+'$'),
('Conductor', '$'+str(tp.cond())+'$')]
info['properties'] = properties
if (tp.numcoeff > len(tp.dirichlet_coefficients)+10):
info['zeroswarning'] = 'These zeros may be inaccurate because we use only %s terms rather than the theoretically required %s terms' %(len(tp.dirichlet_coefficients), tp.numcoeff)
info['svwarning'] = 'These special values may also be inaccurate, for the same reason.'
else:
info['zeroswarning'] = ''
info['svwarning'] = ''
info['tpzeroslink'] = zeros(tp)
info['sv_edge'] = specialValueString(tp, 1, '1')
info['sv_critical'] = specialValueString(tp, 0.5, '1/2')
# friends = []
# friends.append(('L-function of first object', url_for('.show', obj1=objLinks[0])))
# friends.append(('L-function of second object', url_for('.show', obj2=objLinks[1])))
# info['friends'] = friends
info['eulerproduct'] = 'L(s, V \otimes W) = \prod_{p} \det(1 - Frob_p p^{-s} | (V \otimes W)^{I_p})^{-1}'
info['bread'] = get_bread()
return render_template('Lfunction.html', **info)
except (KeyError,ValueError,RuntimeError,NotImplementedError) as err:
return render_lfunction_exception(err)
else:
return render_template("not_yet_implemented.html")
def show():
args = request.args
objLinks = args # an immutable dict of links to objects to tp
objPaths = []
for k, v in objLinks.items():
objPaths.append(v.split('/'))
galoisRepObjs = []
for p in objPaths:
galoisRepObjs.append(galois_rep_from_path(p))
if len(galoisRepObjs)==1:
gr = galoisRepObjs[0]
gr.lfunction()
info = {}
info['dirichlet'] = lfuncDShtml(gr, "analytic")
info['eulerproduct'] = lfuncEPtex(gr, "abstract")
info['functionalequation'] = lfuncFEtex(gr, "analytic")
info['functionalequationSelberg'] = lfuncFEtex(gr, "selberg")
info['bread'] = get_bread()
return render_template('Lfunction.html', **info)
# currently only implemented tp of two things
if len(galoisRepObjs)==2:
try:
tp = GaloisRepresentation([galoisRepObjs[0], galoisRepObjs[1]])
tp.lfunction()
info = {}
info['dirichlet'] = lfuncDShtml(tp, "analytic")
info['eulerproduct'] = lfuncEPtex(tp, "abstract")
info['functionalequation'] = lfuncFEtex(tp, "analytic")
info['functionalequationSelberg'] = lfuncFEtex(tp, "selberg")
properties2 = [('Root number', '$'+str(tp.root_number()).replace('*','').replace('I','i')+'$'),
('Dimension', '$'+str(tp.dimension())+'$'),
('Conductor', '$'+str(tp.cond())+'$')]
info['properties2'] = properties2
if (tp.numcoeff > len(tp.dirichlet_coefficients)+10):
info['zeroswarning'] = 'These zeros may be inaccurate because we use only %s terms rather than the theoretically required %s terms' %(len(tp.dirichlet_coefficients), tp.numcoeff)
info['svwarning'] = 'These special values may also be inaccurate, for the same reason.'
else:
info['zeroswarning'] = ''
info['svwarning'] = ''
info['tpzeroslink'] = zeros(tp)
info['sv_edge'] = specialValueString(tp, 1, '1')
info['sv_critical'] = specialValueString(tp, 0.5, '1/2')
# friends = []
# friends.append(('L-function of first object', url_for('.show', obj1=objLinks[0])))
# friends.append(('L-function of second object', url_for('.show', obj2=objLinks[1])))
# info['friends'] = friends
info['eulerproduct'] = 'L(s, V \otimes W) = \prod_{p} \det(1 - Frob_p p^{-s} | (V \otimes W)^{I_p})^{-1}'
info['bread'] = get_bread()
return render_template('Lfunction.html', **info)
except (KeyError,ValueError,RuntimeError,NotImplementedError) as err:
return render_lfunction_exception(err)
else:
return render_template("not_yet_implemented.html")