Пример #1
0
def render_hmf_webpage(**args):
    C = getDBConnection()
    if 'data' in args:
        data = args['data']
        label = data['label']
    else:
        label = str(args['label'])
        data = C.hmfs.forms.find_one({'label': label})
    if data is None:
        return "No such form"
    info = {}
    try:
        info['count'] = args['count']
    except KeyError:
        info['count'] = 10

    try:
        numeigs = request.args['numeigs']
        numeigs = int(numeigs)
    except:
        numeigs = 20

    hmf_field = C.hmfs.fields.find_one({'label': data['field_label']})
    gen_name = findvar(hmf_field['ideals'])
    nf = WebNumberField(data['field_label'], gen_name=gen_name)
    info['field'] = nf
    info['base_galois_group'] = nf.galois_string()
    info['field_degree'] = nf.degree()
    info['field_disc'] = str(nf.disc())
    info['field_poly'] = teXify_pol(str(nf.poly()))

    info.update(data)

    info['downloads'] = [
        ('Download to Magma', url_for(".render_hmf_webpage_download", field_label=info['field_label'], label=info['label'], download_type='magma')),
        ('Download to Sage', url_for(".render_hmf_webpage_download", field_label=info['field_label'], label=info['label'], download_type='sage'))
        ]
    if hmf_field['narrow_class_no'] == 1:
        info['friends'] = [('L-function',
                            url_for("l_functions.l_function_hmf_page", field=info['field_label'], label=info['label'], character='0', number='0'))]
    else:
        info['friends'] = [('L-function not available', "")]
    if data['dimension'] == 1:   # Try to attach associated elliptic curve
        lab = split_class_label(info['label'])
        ec_from_hmf = db_ecnf().find_one({"label": label + '1'})
        if ec_from_hmf == None:
            info['friends'] += [('Elliptic curve not available', "")]
        else:
            info['friends'] += [('Isogeny class ' + info['label'], url_for("ecnf.show_ecnf_isoclass", nf=lab[0], conductor_label=lab[1], class_label=lab[2]))]

    bread = [('Hilbert Modular Forms', url_for(".hilbert_modular_form_render_webpage")), ('%s' % data[
                                                                                         'label'], ' ')]

    t = "Hilbert Cusp Form %s" % info['label']

    forms_space = C.hmfs.forms.find(
        {'field_label': data['field_label'], 'level_ideal': data['level_ideal']})
    dim_space = 0
    for v in forms_space:
        dim_space += v['dimension']

    info['newspace_dimension'] = dim_space

    w = polygen(QQ, 'w')
    e = polygen(QQ, 'e')
    eigs = data['hecke_eigenvalues']
    eigs = eigs[:min(len(eigs), numeigs)]

    primes = hmf_field['primes']
    n = min(len(eigs), len(primes))
    info['eigs'] = [{'eigenvalue': teXify_pol(eigs[i]),
                     'prime_ideal': teXify_pol(primes[i]),
                     'prime_norm': primes[i][1:primes[i].index(',')]} for i in range(n)]

    try:
        display_eigs = request.args['display_eigs']
        if display_eigs in ['True', 'true', '1', 'yes']:
            display_eigs = True
        else:
            display_eigs = False
    except KeyError:
        display_eigs = False

    if 'numeigs' in request.args:
        display_eigs = True

    info['hecke_polynomial'] = teXify_pol(info['hecke_polynomial'])

    if 'AL_eigenvalues_fixed' in data:
        if data['AL_eigenvalues_fixed'] == 'done':
            info['AL_eigs'] = [{'eigenvalue': teXify_pol(al[1]),
                                'prime_ideal': teXify_pol(al[0]),
                                'prime_norm': al[0][1:al[0].index(',')]} for al in data['AL_eigenvalues']]
        else:
            info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    else:
        info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    info['AL_eigs_count'] = len(info['AL_eigs']) != 0

    max_eig_len = max([len(eig['eigenvalue']) for eig in info['eigs']])
    display_eigs = display_eigs or (max_eig_len<=300)
    if not display_eigs:
        for eig in info['eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'
        for eig in info['AL_eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'

    info['level_ideal'] = teXify_pol(info['level_ideal'])

    if 'is_CM' in data:
        is_CM = data['is_CM']
    else:
        is_CM = '?'
    info['is_CM'] = is_CM

    if 'is_base_change' in data:
        is_base_change = data['is_base_change']
    else:
        is_base_change = '?'
    info['is_base_change'] = is_base_change

    if 'q_expansions' in data:
        info['q_expansions'] = data['q_expansions']

    properties2 = [('Base field', '%s' % info['field'].field_pretty()),
                   ('Weight', '%s' % data['weight']),
                   ('Level norm', '%s' % data['level_norm']),
                   ('Level', '$' + teXify_pol(data['level_ideal']) + '$'),
                   ('Label', '%s' % data['label_suffix']),
                   ('Dimension', '%s' % data['dimension']),
                   ('CM', is_CM),
                   ('Base change', is_base_change)
                   ]

    return render_template("hilbert_modular_form.html", downloads=info["downloads"], info=info, properties2=properties2, credit=hmf_credit, title=t, bread=bread, friends=info['friends'], learnmore=learnmore_list())
Пример #2
0
def render_hmf_webpage(**args):
    C = getDBConnection()
    if 'data' in args:
        data = args['data']
        label = data['label']
    else:
        label = str(args['label'])
        data = C.hmfs.forms.find_one({'label': label})
    if data is None:
        return "No such form"
    info = {}
    try:
        info['count'] = args['count']
    except KeyError:
        info['count'] = 10

    try:
        numeigs = request.args['numeigs']
        numeigs = int(numeigs)
    except:
        numeigs = 20

    hmf_field = C.hmfs.fields.find_one({'label': data['field_label']})
    gen_name = findvar(hmf_field['ideals'])
    nf = WebNumberField(data['field_label'], gen_name=gen_name)
    info['hmf_field'] = hmf_field
    info['field'] = nf
    info['base_galois_group'] = nf.galois_string()
    info['field_degree'] = nf.degree()
    info['field_disc'] = str(nf.disc())
    info['field_poly'] = teXify_pol(str(nf.poly()))

    info.update(data)

    info['downloads'] = [('Download to Magma',
                          url_for(".render_hmf_webpage_download",
                                  field_label=info['field_label'],
                                  label=info['label'],
                                  download_type='magma')),
                         ('Download to Sage',
                          url_for(".render_hmf_webpage_download",
                                  field_label=info['field_label'],
                                  label=info['label'],
                                  download_type='sage'))]
    if hmf_field['narrow_class_no'] == 1 and nf.disc(
    )**2 * data['level_norm'] < 40000:
        info['friends'] = [('L-function',
                            url_for("l_functions.l_function_hmf_page",
                                    field=info['field_label'],
                                    label=info['label'],
                                    character='0',
                                    number='0'))]
    else:
        info['friends'] = [('L-function not available', "")]
    if data['dimension'] == 1:  # Try to attach associated elliptic curve
        lab = split_class_label(info['label'])
        ec_from_hmf = db_ecnf().find_one({"label": label + '1'})
        if ec_from_hmf == None:
            info['friends'] += [('Elliptic curve not available', "")]
        else:
            info['friends'] += [('Isogeny class ' + info['label'],
                                 url_for("ecnf.show_ecnf_isoclass",
                                         nf=lab[0],
                                         conductor_label=lab[1],
                                         class_label=lab[2]))]

    bread = [('Hilbert Modular Forms',
              url_for(".hilbert_modular_form_render_webpage")),
             ('%s' % data['label'], ' ')]

    t = "Hilbert Cusp Form %s" % info['label']

    forms_space = C.hmfs.forms.find({
        'field_label': data['field_label'],
        'level_ideal': data['level_ideal']
    })
    dim_space = 0
    for v in forms_space:
        dim_space += v['dimension']

    info['newspace_dimension'] = dim_space

    w = polygen(QQ, 'w')
    e = polygen(QQ, 'e')
    eigs = data['hecke_eigenvalues']
    eigs = eigs[:min(len(eigs), numeigs)]

    primes = hmf_field['primes']
    n = min(len(eigs), len(primes))
    info['eigs'] = [{
        'eigenvalue': teXify_pol(eigs[i]),
        'prime_ideal': teXify_pol(primes[i]),
        'prime_norm': primes[i][1:primes[i].index(',')]
    } for i in range(n)]

    try:
        display_eigs = request.args['display_eigs']
        if display_eigs in ['True', 'true', '1', 'yes']:
            display_eigs = True
        else:
            display_eigs = False
    except KeyError:
        display_eigs = False

    if 'numeigs' in request.args:
        display_eigs = True

    info['hecke_polynomial'] = teXify_pol(info['hecke_polynomial'])

    if 'AL_eigenvalues_fixed' in data:
        if data['AL_eigenvalues_fixed'] == 'done':
            info['AL_eigs'] = [{
                'eigenvalue': teXify_pol(al[1]),
                'prime_ideal': teXify_pol(al[0]),
                'prime_norm': al[0][1:al[0].index(',')]
            } for al in data['AL_eigenvalues']]
        else:
            info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    else:
        info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    info['AL_eigs_count'] = len(info['AL_eigs']) != 0

    max_eig_len = max([len(eig['eigenvalue']) for eig in info['eigs']])
    display_eigs = display_eigs or (max_eig_len <= 300)
    if not display_eigs:
        for eig in info['eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'
        for eig in info['AL_eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'

    info['level_ideal'] = teXify_pol(info['level_ideal'])

    if 'is_CM' in data:
        is_CM = data['is_CM']
    else:
        is_CM = '?'
    info['is_CM'] = is_CM

    if 'is_base_change' in data:
        is_base_change = data['is_base_change']
    else:
        is_base_change = '?'
    info['is_base_change'] = is_base_change

    if 'q_expansions' in data:
        info['q_expansions'] = data['q_expansions']

    properties2 = [('Base field', '%s' % info['field'].field_pretty()),
                   ('Weight', '%s' % data['weight']),
                   ('Level norm', '%s' % data['level_norm']),
                   ('Level', '$' + teXify_pol(data['level_ideal']) + '$'),
                   ('Label', '%s' % data['label']),
                   ('Dimension', '%s' % data['dimension']), ('CM', is_CM),
                   ('Base change', is_base_change)]

    return render_template("hilbert_modular_form.html",
                           downloads=info["downloads"],
                           info=info,
                           properties2=properties2,
                           credit=hmf_credit,
                           title=t,
                           bread=bread,
                           friends=info['friends'],
                           learnmore=learnmore_list())
Пример #3
0
def render_hmf_webpage(**args):
    C = getDBConnection()
    data = None
    if 'label' in args:
        label = str(args['label'])
        data = C.hmfs.forms.find_one({'label': label})
    if data is None:
        return "No such field"
    info = {}
    try:
        info['count'] = args['count']
    except KeyError:
        info['count'] = 10

    try:
        numeigs = request.args['numeigs']
        numeigs = int(numeigs)
    except:
        numeigs = 20

    hmf_field = C.hmfs.fields.find_one({'label': data['field_label']})
    nf = WebNumberField(data['field_label'])
    info['base_galois_group'] = nf.galois_string()
    info['field_degree'] = nf.degree()
    info['field_disc'] = str(nf.disc())
    info['field_poly'] = teXify_pol(str(nf.poly()))

    info.update(data)

    info['downloads'] = [
        ('Download to Magma', url_for(".render_hmf_webpage_download", field_label=info['field_label'], label=info['label'], download_type='magma')),
        ('Download to Sage', url_for(".render_hmf_webpage_download", field_label=info['field_label'], label=info['label'], download_type='sage'))
        ]
    info['friends'] = []
    info['friends'] = [('L-function',
                        url_for("l_functions.l_function_hmf_page", field=info['field_label'], label=info['label'], character='0', number='0'))]

# info['learnmore'] = [('Number Field labels',
# url_for("render_labels_page")), ('Galois group
# labels',url_for("render_groups_page")), ('Discriminant
# ranges',url_for("render_discriminants_page"))]

    bread = [('Hilbert Modular Forms', url_for(".hilbert_modular_form_render_webpage")), ('%s' % data[
                                                                                         'label'], ' ')]

    t = "Hilbert Cusp Form %s" % info['label']
    credit = 'Lassina Dembele, Steve Donnelly and <A HREF="http://www.cems.uvm.edu/~voight/">John Voight</A>'

    forms_space = C.hmfs.forms.find(
        {'field_label': data['field_label'], 'level_ideal': data['level_ideal']})
    dim_space = 0
    for v in forms_space:
        dim_space += v['dimension']

    info['newspace_dimension'] = dim_space

    w = polygen(QQ, 'w')
    e = polygen(QQ, 'e')
    eigs = data['hecke_eigenvalues']
    eigs = eigs[:min(len(eigs), numeigs)]

    primes = hmf_field['primes']
    n = min(len(eigs), len(primes))
    info['eigs'] = [{'eigenvalue': teXify_pol(eigs[i]),
                     'prime_ideal': teXify_pol(primes[i]),
                     'prime_norm': primes[i][1:primes[i].index(',')]} for i in range(n)]

    try:
        display_eigs = request.args['display_eigs']
        if display_eigs in ['True', 'true', '1', 'yes']:
            display_eigs = True
        else:
            display_eigs = False
    except KeyError:
        display_eigs = False

    if 'numeigs' in request.args:
        display_eigs = True

    info['hecke_polynomial'] = teXify_pol(info['hecke_polynomial'])

    if 'AL_eigenvalues_fixed' in data:
        if data['AL_eigenvalues_fixed'] == 'done':
            info['AL_eigs'] = [{'eigenvalue': teXify_pol(al[1]),
                                'prime_ideal': teXify_pol(al[0]),
                                'prime_norm': al[0][1:al[0].index(',')]} for al in data['AL_eigenvalues']]
        else:
            info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    else:
        info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    info['AL_eigs_count'] = len(info['AL_eigs']) != 0

    if not display_eigs:
        for eig in info['eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'
        for eig in info['AL_eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'

    info['level_ideal'] = teXify_pol(info['level_ideal'])

    if 'is_CM' in data:
        is_CM = data['is_CM']
    else:
        is_CM = '?'
    info['is_CM'] = is_CM

    if 'is_base_change' in data:
        is_base_change = data['is_base_change']
    else:
        is_base_change = '?'
    info['is_base_change'] = is_base_change

    if 'q_expansions' in data:
        info['q_expansions'] = data['q_expansions']

    properties2 = [('Field', '%s' % data['field_label']),
                   ('Weight', '%s' % data['weight']),
                   ('Level Norm', '%s' % data['level_norm']),
                   ('Level', '$' + teXify_pol(data['level_ideal']) + '$'),
                   ('Label', '%s' % data['label_suffix']),
                   ('Dimension', '%s' % data['dimension']),
                   ('CM?', is_CM),
                   ('Base Change?', is_base_change)
                   ]

    return render_template("hilbert_modular_form.html", downloads=info["downloads"], info=info, properties2=properties2, credit=credit, title=t, bread=bread, friends=info['friends'])
Пример #4
0
def render_hmf_webpage(**args):
    C = getDBConnection()
    data = None
    if "label" in args:
        label = str(args["label"])
        data = C.hmfs.forms.find_one({"label": label})
    if data is None:
        return "No such field"
    info = {}
    try:
        info["count"] = args["count"]
    except KeyError:
        info["count"] = 10

    try:
        numeigs = request.args["numeigs"]
        numeigs = int(numeigs)
    except:
        numeigs = 20

    hmf_field = C.hmfs.fields.find_one({"label": data["field_label"]})
    nf = WebNumberField(data["field_label"])
    info["base_galois_group"] = nf.galois_string()
    info["field_degree"] = nf.degree()
    info["field_disc"] = str(nf.disc())
    info["field_poly"] = teXify_pol(str(nf.poly()))

    info.update(data)

    info["downloads"] = [
        (
            "Download to Magma",
            url_for(
                ".render_hmf_webpage_download",
                field_label=info["field_label"],
                label=info["label"],
                download_type="magma",
            ),
        ),
        (
            "Download to Sage",
            url_for(
                ".render_hmf_webpage_download",
                field_label=info["field_label"],
                label=info["label"],
                download_type="sage",
            ),
        ),
    ]
    info["friends"] = []
    info["friends"] = [
        (
            "L-function",
            url_for(
                "l_functions.l_function_hmf_page",
                field=info["field_label"],
                label=info["label"],
                character="0",
                number="0",
            ),
        )
    ]

    # info['learnmore'] = [('Number Field labels',
    # url_for("render_labels_page")), ('Galois group
    # labels',url_for("render_groups_page")), ('Discriminant
    # ranges',url_for("render_discriminants_page"))]

    bread = [("Hilbert Modular Forms", url_for(".hilbert_modular_form_render_webpage")), ("%s" % data["label"], " ")]

    t = "Hilbert Cusp Form %s" % info["label"]
    credit = 'Lassina Dembele, Steve Donnelly and <A HREF="http://www.cems.uvm.edu/~voight/">John Voight</A>'

    forms_space = C.hmfs.forms.find({"field_label": data["field_label"], "level_ideal": data["level_ideal"]})
    dim_space = 0
    for v in forms_space:
        dim_space += v["dimension"]

    info["newspace_dimension"] = dim_space

    w = polygen(QQ, "w")
    e = polygen(QQ, "e")
    eigs = data["hecke_eigenvalues"]
    eigs = eigs[: min(len(eigs), numeigs)]

    primes = hmf_field["primes"]
    n = min(len(eigs), len(primes))
    info["eigs"] = [
        {
            "eigenvalue": teXify_pol(eigs[i]),
            "prime_ideal": teXify_pol(primes[i]),
            "prime_norm": primes[i][1 : primes[i].index(",")],
        }
        for i in range(n)
    ]

    try:
        display_eigs = request.args["display_eigs"]
        if display_eigs in ["True", "true", "1", "yes"]:
            display_eigs = True
        else:
            display_eigs = False
    except KeyError:
        display_eigs = False

    if "numeigs" in request.args:
        display_eigs = True

    info["hecke_polynomial"] = teXify_pol(info["hecke_polynomial"])

    if "AL_eigenvalues_fixed" in data:
        if data["AL_eigenvalues_fixed"] == "done":
            info["AL_eigs"] = [
                {
                    "eigenvalue": teXify_pol(al[1]),
                    "prime_ideal": teXify_pol(al[0]),
                    "prime_norm": al[0][1 : al[0].index(",")],
                }
                for al in data["AL_eigenvalues"]
            ]
        else:
            info["AL_eigs"] = [{"eigenvalue": "?", "prime_ideal": "?"}]
    else:
        info["AL_eigs"] = [{"eigenvalue": "?", "prime_ideal": "?"}]
    info["AL_eigs_count"] = len(info["AL_eigs"]) != 0

    if not display_eigs:
        for eig in info["eigs"]:
            if len(eig["eigenvalue"]) > 300:
                eig["eigenvalue"] = "..."
        for eig in info["AL_eigs"]:
            if len(eig["eigenvalue"]) > 300:
                eig["eigenvalue"] = "..."

    info["level_ideal"] = teXify_pol(info["level_ideal"])

    if "is_CM" in data:
        is_CM = data["is_CM"]
    else:
        is_CM = "?"
    info["is_CM"] = is_CM

    if "is_base_change" in data:
        is_base_change = data["is_base_change"]
    else:
        is_base_change = "?"
    info["is_base_change"] = is_base_change

    if "q_expansions" in data:
        info["q_expansions"] = data["q_expansions"]

    properties2 = [
        ("Field", "%s" % data["field_label"]),
        ("Weight", "%s" % data["weight"]),
        ("Level Norm", "%s" % data["level_norm"]),
        ("Level", "$" + teXify_pol(data["level_ideal"]) + "$"),
        ("Label", "%s" % data["label_suffix"]),
        ("Dimension", "%s" % data["dimension"]),
        ("CM", is_CM),
        ("Base Change", is_base_change),
    ]

    return render_template(
        "hilbert_modular_form.html",
        downloads=info["downloads"],
        info=info,
        properties2=properties2,
        credit=credit,
        title=t,
        bread=bread,
        friends=info["friends"],
    )
Пример #5
0
def render_hmf_webpage(**args):
    C = getDBConnection()
    data = None
    if 'label' in args:
        label = str(args['label'])
        data = C.hmfs.forms.find_one({'label': label})
    if data is None:
        return "No such field"
    info = {}
    try:
        info['count'] = args['count']
    except KeyError:
        info['count'] = 10

    try:
        numeigs = request.args['numeigs']
        numeigs = int(numeigs)
    except:
        numeigs = 20

    hmf_field = C.hmfs.fields.find_one({'label': data['field_label']})
    nf = WebNumberField(data['field_label'])
    info['base_galois_group'] = nf.galois_string()
    info['field_degree'] = nf.degree()
    info['field_disc'] = str(nf.disc())
    info['field_poly'] = teXify_pol(str(nf.poly()))

    info.update(data)

    info['downloads'] = [('Download to Magma',
                          url_for(".render_hmf_webpage_download",
                                  field_label=info['field_label'],
                                  label=info['label'],
                                  download_type='magma')),
                         ('Download to Sage',
                          url_for(".render_hmf_webpage_download",
                                  field_label=info['field_label'],
                                  label=info['label'],
                                  download_type='sage'))]
    info['friends'] = []
    info['friends'] = [('L-function',
                        url_for("l_functions.l_function_hmf_page",
                                field=info['field_label'],
                                label=info['label'],
                                character='0',
                                number='0'))]

    # info['learnmore'] = [('Number Field labels',
    # url_for("render_labels_page")), ('Galois group
    # labels',url_for("render_groups_page")), ('Discriminant
    # ranges',url_for("render_discriminants_page"))]

    bread = [('Hilbert Modular Forms',
              url_for(".hilbert_modular_form_render_webpage")),
             ('%s' % data['label'], ' ')]

    t = "Hilbert Cusp Form %s" % info['label']
    credit = 'Lassina Dembele, Steve Donnelly and <A HREF="http://www.cems.uvm.edu/~voight/">John Voight</A>'

    forms_space = C.hmfs.forms.find({
        'field_label': data['field_label'],
        'level_ideal': data['level_ideal']
    })
    dim_space = 0
    for v in forms_space:
        dim_space += v['dimension']

    info['newspace_dimension'] = dim_space

    w = polygen(QQ, 'w')
    e = polygen(QQ, 'e')
    eigs = data['hecke_eigenvalues']
    eigs = eigs[:min(len(eigs), numeigs)]

    primes = hmf_field['primes']
    n = min(len(eigs), len(primes))
    info['eigs'] = [{
        'eigenvalue': teXify_pol(eigs[i]),
        'prime_ideal': teXify_pol(primes[i]),
        'prime_norm': primes[i][1:primes[i].index(',')]
    } for i in range(n)]

    try:
        display_eigs = request.args['display_eigs']
        if display_eigs in ['True', 'true', '1', 'yes']:
            display_eigs = True
        else:
            display_eigs = False
    except KeyError:
        display_eigs = False

    if 'numeigs' in request.args:
        display_eigs = True

    info['hecke_polynomial'] = teXify_pol(info['hecke_polynomial'])

    if 'AL_eigenvalues_fixed' in data:
        if data['AL_eigenvalues_fixed'] == 'done':
            info['AL_eigs'] = [{
                'eigenvalue': teXify_pol(al[1]),
                'prime_ideal': teXify_pol(al[0]),
                'prime_norm': al[0][1:al[0].index(',')]
            } for al in data['AL_eigenvalues']]
        else:
            info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    else:
        info['AL_eigs'] = [{'eigenvalue': '?', 'prime_ideal': '?'}]
    info['AL_eigs_count'] = len(info['AL_eigs']) != 0

    if not display_eigs:
        for eig in info['eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'
        for eig in info['AL_eigs']:
            if len(eig['eigenvalue']) > 300:
                eig['eigenvalue'] = '...'

    info['level_ideal'] = teXify_pol(info['level_ideal'])

    if 'is_CM' in data:
        is_CM = data['is_CM']
    else:
        is_CM = '?'
    info['is_CM'] = is_CM

    if 'is_base_change' in data:
        is_base_change = data['is_base_change']
    else:
        is_base_change = '?'
    info['is_base_change'] = is_base_change

    if 'q_expansions' in data:
        info['q_expansions'] = data['q_expansions']

    properties2 = [('Field', '%s' % data['field_label']),
                   ('Weight', '%s' % data['weight']),
                   ('Level Norm', '%s' % data['level_norm']),
                   ('Level', '$' + teXify_pol(data['level_ideal']) + '$'),
                   ('Label', '%s' % data['label_suffix']),
                   ('Dimension', '%s' % data['dimension']), ('CM?', is_CM),
                   ('Base Change?', is_base_change)]

    return render_template("hilbert_modular_form.html",
                           downloads=info["downloads"],
                           info=info,
                           properties2=properties2,
                           credit=credit,
                           title=t,
                           bread=bread,
                           friends=info['friends'])