本文整理汇总了Python中lmfdb.WebNumberField.factor_perm_repn方法的典型用法代码示例。如果您正苦于以下问题：Python WebNumberField.factor_perm_repn方法的具体用法？Python WebNumberField.factor_perm_repn怎么用？Python WebNumberField.factor_perm_repn使用的例子？那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在类lmfdb.WebNumberField的用法示例。
在下文中一共展示了WebNumberField.factor_perm_repn方法的2个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: render_field_webpage
# 需要导入模块: from lmfdb import WebNumberField [as 别名]
# 或者: from lmfdb.WebNumberField import factor_perm_repn [as 别名]
#.........这里部分代码省略.........
data['signature'] = nf.signature()
data['coefficients'] = nf.coeffs()
D = nf.disc()
ram_primes = D.prime_factors()
data['disc_factor'] = nf.disc_factored_latex()
if D.abs().is_prime() or D == 1:
data['discriminant'] = "\(%s\)" % str(D)
else:
data['discriminant'] = "\(%s=%s\)" % (str(D), data['disc_factor'])
npr = len(ram_primes)
ram_primes = str(ram_primes)[1:-1]
if ram_primes == '':
ram_primes = r'\textrm{None}'
data['frob_data'], data['seeram'] = frobs(nf.K())
data['phrase'] = group_phrase(n, t, C)
zk = nf.zk()
Ra = PolynomialRing(QQ, 'a')
zk = [latex(Ra(x)) for x in zk]
zk = ['$%s$' % x for x in zk]
zk = ', '.join(zk)
grh_label = '<small>(<a title="assuming GRH" knowl="nf.assuming_grh">assuming GRH</a>)</small>' if nf.used_grh() else ''
# Short version for properties
grh_lab = nf.short_grh_string()
if 'Not' in str(data['class_number']):
grh_lab=''
grh_label=''
pretty_label = field_pretty(label)
if label != pretty_label:
pretty_label = "%s: %s" % (label, pretty_label)
info.update(data)
info.update({
'label': pretty_label,
'label_raw': label,
'polynomial': web_latex_split_on_pm(nf.K().defining_polynomial()),
'ram_primes': ram_primes,
'integral_basis': zk,
'regulator': web_latex(nf.regulator()),
'unit_rank': nf.unit_rank(),
'root_of_unity': web_latex(nf.K().primitive_root_of_unity()),
'fund_units': nf.units(),
'grh_label': grh_label
})
bread.append(('%s' % info['label_raw'], ' '))
info['downloads_visible'] = True
info['downloads'] = [('worksheet', '/')]
info['friends'] = []
if nf.can_class_number():
# hide ones that take a lond time to compute on the fly
# note that the first degree 4 number field missed the zero of the zeta function
if abs(D**n) < 50000000:
info['friends'].append(('L-function', "/L/NumberField/%s" % label))
info['friends'].append(('Galois group', "/GaloisGroup/%dT%d" % (n, t)))
if 'dirichlet_group' in info:
info['friends'].append(('Dirichlet group', url_for("characters.dirichlet_group_table",
modulus=int(conductor),
char_number_list=','.join(
[str(a) for a in dirichlet_chars]),
poly=info['polynomial'])))
info['learnmore'] = [('Global number field labels', url_for(
".render_labels_page")),
(Completename, url_for(".render_discriminants_page")),
('How data was computed', url_for(".how_computed_page"))]
if info['signature'] == [0,1]:
info['learnmore'].append(('Quadratic imaginary class groups', url_for(".render_class_group_data")))
# With Galois group labels, probably not needed here
# info['learnmore'] = [('Global number field labels',
# url_for(".render_labels_page")), ('Galois group
# labels',url_for(".render_groups_page")),
# (Completename,url_for(".render_discriminants_page"))]
title = "Global Number Field %s" % info['label']
if npr == 1:
primes = 'prime'
else:
primes = 'primes'
properties2 = [('Degree:', '%s' % data['degree']),
('Signature:', '$%s$' % data['signature']),
('Discriminant:', '$%s$' % data['disc_factor']),
('Ramified ' + primes + ':', '$%s$' % ram_primes),
('Class number:', '%s %s' % (data['class_number'], grh_lab)),
('Class group:', '%s %s' % (data['class_group_invs'], grh_lab)),
('Galois Group:', group_display_short(data['degree'], t, C))
]
from lmfdb.math_classes import NumberFieldGaloisGroup
try:
info["tim_number_field"] = NumberFieldGaloisGroup(nf._data['coeffs'])
v = nf.factor_perm_repn(info["tim_number_field"])
def dopow(m):
if m==0: return ''
if m==1: return '*'
return '*<sup>%d</sup>'% m
info["mydecomp"] = [dopow(x) for x in v]
except AttributeError:
pass
# del info['_id']
return render_template("number_field.html", properties2=properties2, credit=NF_credit, title=title, bread=bread, friends=info.pop('friends'), learnmore=info.pop('learnmore'), info=info)示例2: render_field_webpage
# 需要导入模块: from lmfdb import WebNumberField [as 别名]
# 或者: from lmfdb.WebNumberField import factor_perm_repn [as 别名]
#.........这里部分代码省略.........
if "Not" in str(data["class_number"]):
grh_lab = ""
grh_label = ""
pretty_label = field_pretty(label)
if label != pretty_label:
pretty_label = "%s: %s" % (label, pretty_label)
info.update(data)
info.update(
{
"label": pretty_label,
"label_raw": label,
"polynomial": web_latex_split_on_pm(nf.K().defining_polynomial()),
"ram_primes": ram_primes,
"integral_basis": zk,
"regulator": web_latex(nf.regulator()),
"unit_rank": nf.unit_rank(),
"root_of_unity": web_latex(nf.K().primitive_root_of_unity()),
"fund_units": nf.units(),
"grh_label": grh_label,
}
)
bread.append(("%s" % info["label_raw"], " "))
info["downloads_visible"] = True
info["downloads"] = [("worksheet", "/")]
info["friends"] = []
if nf.can_class_number():
# hide ones that take a lond time to compute on the fly
# note that the first degree 4 number field missed the zero of the zeta function
if abs(D ** n) < 50000000:
info["friends"].append(("L-function", "/L/NumberField/%s" % label))
info["friends"].append(("Galois group", "/GaloisGroup/%dT%d" % (n, t)))
if "dirichlet_group" in info:
info["friends"].append(
(
"Dirichlet group",
url_for(
"characters.dirichlet_group_table",
modulus=int(conductor),
char_number_list=",".join([str(a) for a in dirichlet_chars]),
poly=info["polynomial"],
),
)
)
info["learnmore"] = [
("Global number field labels", url_for(".render_labels_page")),
(Completename, url_for(".render_discriminants_page")),
("How data was computed", url_for(".how_computed_page")),
]
if info["signature"] == [0, 1]:
info["learnmore"].append(("Quadratic imaginary class groups", url_for(".render_class_group_data")))
# With Galois group labels, probably not needed here
# info['learnmore'] = [('Global number field labels',
# url_for(".render_labels_page")), ('Galois group
# labels',url_for(".render_groups_page")),
# (Completename,url_for(".render_discriminants_page"))]
title = "Global Number Field %s" % info["label"]
if npr == 1:
primes = "prime"
else:
primes = "primes"
properties2 = [
("Degree:", "%s" % data["degree"]),
("Signature:", "$%s$" % data["signature"]),
("Discriminant:", "$%s$" % data["disc_factor"]),
("Ramified " + primes + ":", "$%s$" % ram_primes),
("Class number:", "%s %s" % (data["class_number"], grh_lab)),
("Class group:", "%s %s" % (data["class_group_invs"], grh_lab)),
("Galois Group:", group_display_short(data["degree"], t, C)),
]
from lmfdb.math_classes import NumberFieldGaloisGroup
try:
info["tim_number_field"] = NumberFieldGaloisGroup(nf._data["coeffs"])
v = nf.factor_perm_repn(info["tim_number_field"])
def dopow(m):
if m == 0:
return ""
if m == 1:
return "*"
return "*<sup>%d</sup>" % m
info["mydecomp"] = [dopow(x) for x in v]
except AttributeError:
pass
# del info['_id']
return render_template(
"number_field.html",
properties2=properties2,
credit=NF_credit,
title=title,
bread=bread,
friends=info.pop("friends"),
learnmore=info.pop("learnmore"),
info=info,
)