def __init__(self):
parity = ParityBox(name="parity",
label="Parity",
knowl="gg.parity",
width=50,
short_width=170)
cyc = YesNoBox(name="cyc",
label="Cyclic",
knowl="group.cyclic",
width=50,
short_width=170)
solv = YesNoBox(name="solv",
label="Solvable",
knowl="group.solvable",
width=50,
short_width=170)
prim = YesNoBox(name="prim",
label="Primitive",
knowl="gg.primitive",
width=50,
short_width=170)
n = TextBox(name="n",
label="Degree",
knowl="gg.degree",
example="6",
example_span="6 or 4,6 or 2..5 or 4,6..8")
t = TextBox(name="t",
label="$T$-number",
knowl="gg.tnumber",
example="3",
example_span="3 or 4,6 or 2..5 or 4,6..8")
order = TextBox(name="order",
label="Order",
knowl="group.order",
example="6",
example_span="6 or 4,6 or 2..35 or 4,6..80")
gal = TextBoxNoEg(
name="gal",
label="Group",
knowl="group",
example="[8,3]",
example_span=
"list of %s, e.g. [8,3] or [16,7], group names from the %s, e.g. C5 or S12, and %s, e.g., 7T2 or 11T5"
% (display_knowl("group.small_group_label", "GAP id's"),
display_knowl("nf.galois_group.name", "list of group labels"),
display_knowl("gg.label", "transitive group labels")))
nilpotency = TextBox(name="nilpotency",
label="Nilpotency class",
knowl="group.nilpotent",
example="1..100",
example_span="-1, or 1..3")
count = TextBox(name="count", label="Results to display", example=50)
self.bool_array = [[parity, cyc, solv, prim]]
self.browse_array = [[n], [t], [order], [gal], [nilpotency], [count]]
self.refine_array = [[parity, cyc, solv, prim],
[n, t, order, gal, nilpotency]]
def __init__(self):
modulus = TextBox(
"modulus",
knowl="character.dirichlet.modulus",
label="Modulus",
example="13",
example_span="13",
)
conductor = TextBox(
"conductor",
knowl="character.dirichlet.conductor",
label="Conductor",
example="5",
example_span="5 or 10,20",
)
order = TextBox("order",
label="Order",
knowl="character.dirichlet.order",
example="2",
example_span="2 or 3-5")
parity = ParityBox("parity",
knowl="character.dirichlet.parity",
label="Parity",
example="odd")
is_primitive = YesNoBox("is_primitive",
label="Primitive",
knowl="character.dirichlet.primitive",
example="yes")
is_real = YesNoBox("is_real",
label="Real",
knowl="character.dirichlet.real",
example="yes")
is_minimal = YesNoBox("is_minimal",
label="Minimal",
knowl="character.dirichlet.minimal",
example="yes")
count = CountBox()
self.refine_array = [
[modulus, conductor, order, is_real],
[parity, is_primitive, is_minimal, count],
]
self.browse_array = [
[modulus],
[conductor],
[order],
[parity],
[is_primitive],
[is_real],
[is_minimal],
[count],
]
def __init__(self):
parity = ParityBox(name="parity", label="Parity", knowl="gg.parity")
cyc = YesNoBox(name="cyc", label="Cyclic", knowl="group.cyclic")
solv = YesNoBox(name="solv", label="Solvable", knowl="group.solvable")
prim = YesNoBox(name="prim", label="Primitive", knowl="gg.primitive")
n = TextBox(name="n",
label="Degree",
knowl="gg.degree",
example="6",
example_span="6 or 4,6 or 2..5 or 4,6..8")
t = TextBox(name="t",
label="$T$-number",
knowl="gg.tnumber",
example="3",
example_span="3 or 4,6 or 2..5 or 4,6..8")
order = TextBox(name="order",
label="Order",
knowl="group.order",
example="6",
example_span="6 or 4,6 or 2..35 or 4,6..80")
gal = TextBoxNoEg(
name="gal",
label="Group",
knowl="group",
example_span_colspan=8,
example="[8,3]",
example_span=
"list of %s, e.g. [8,3] or [16,7], group names from the %s, e.g. C5 or S12, and %s, e.g., 7T2 or 11T5"
% (display_knowl("group.small_group_label", "GAP id's"),
display_knowl("nf.galois_group.name", "list of group labels"),
display_knowl("gg.label", "transitive group labels")))
nilpotency = TextBox(name="nilpotency",
label="Nilpotency class",
knowl="group.nilpotent",
example="1..100",
example_span="-1, or 1..3")
arith_equiv = TextBox(name="arith_equiv",
label="Equivalent siblings",
knowl="gg.arithmetically_equiv_input",
example="1",
example_span="1 or 2,3 or 1..5 or 1,3..10")
count = CountBox()
self.browse_array = [[n, parity], [t, cyc], [order, solv],
[nilpotency, prim], [gal], [arith_equiv], [count]]
self.refine_array = [[parity, cyc, solv, prim, arith_equiv],
[n, t, order, gal, nilpotency]]
def __init__(self):
speaker = TextBox(
name="speaker", label="Speaker", colspan=(1, 2, 1), width=160 * 2 - 1 * 20
)
affiliation = TextBox(
name="affiliation",
label="Affiliation",
colspan=(1, 2, 1),
width=160 * 2 - 1 * 20,
)
title = TextBox(
name="title", label="Title", colspan=(1, 2, 1), width=160 * 2 - 1 * 20
)
date = TextBox( # should have date widget?
name="daterange",
id="daterange",
label="Date",
colspan=(1, 2, 1),
width=160 * 2 - 1 * 20,
)
video = YesNoBox(name="video", label="Has video")
self.browse_array = [
[category, keywords],
[institution, title],
[online, speaker],
[access, affiliation],
[video, date],
[count],
]
def __init__(self):
order = TextBox(
name="order",
label="Order",
knowl="group.order",
example="3",
example_span="4, or a range like 3..5")
dim = TextBox(
name="dim",
label="Dimension",
example="2",
example_span="4, or a range like 3..5")
irreducible = YesNoBox(
name="irreducible",
knowl="group.representation.irreducible",
label="Irreducible",
)
count = CountBox()
self.browse_array = [
[order],
[dim],
[irreducible],
[count]]
self.refine_array = [
[order, dim, irreducible]]
def __init__(self):
category = SelectBox(name="category",
label="Category",
options=[("", "")] + categories)
keywords = TextBox(name="keywords", label="Keywords")
speaker = TextBox(name="speaker", label="Speaker")
affiliation = TextBox(name="affiliation", label="Affiliation")
institution = TextBox(name="institution", label="Institution")
title = TextBox(name="title", label="Title")
online = SelectBox(name="online",
label="Online",
options=[("", "only"), ("all", "and offline"),
("exclude", "exclude")])
when = SelectBox(name="when",
label="Occuring in",
options=[("", ""), ("future", "the future"),
("past", "the past")])
date = TextBox( # should have date widget?
name="date", label="Date")
video = YesNoBox(name="video", label="Has video")
avail = SelectBox(name="access",
label="Access",
options=[("", ""), ("open", "open only")])
count = TextBox(name="count", label="Results to display", example=50)
self.browse_array = [[category, keywords], [speaker, affiliation],
[title, institution], [when, date], [online],
[video, avail], [count]]
def __init__(self):
deg = TextBox(name="deg",
label="Degree",
knowl="belyi.degree",
example="5",
example_span="4, 5-6")
group = TextBox(name="group",
label="Group",
knowl="belyi.group",
example="4T5")
abc = TextBox(name="abc",
label="Orders",
knowl="belyi.orders",
example="5",
example_span="4, 5-6")
abc_list = TextBox(name="abc_list",
label=r"\([a,b,c]\) triple",
knowl="belyi.abc",
example="[4,4,3]")
g = TextBox(name="g",
label="Genus",
knowl="belyi.genus",
example="1",
example_span="1, 0-2")
pass_size = TextBox(name="pass_size",
label="Passport size",
knowl="belyi.pass_size",
example="2",
example_span="2, 5-6")
orbit_size = TextBox(name="orbit_size",
label="Orbit size",
knowl="belyi.orbit_size",
example="2",
example_span="2, 5-6")
geomtype = SelectBox(name="geomtype",
label="Geometry type",
knowl="belyi.geometry_type",
options=[("", "")] +
list(geometry_types_dict.items()))
is_primitive = YesNoBox(name="is_primitive",
label="Primitive",
knowl="belyi.primitive",
example="yes")
field = TextBox(name="field",
label="Base field",
knowl="belyi.base_field",
example="2.2.5.1",
example_span="2.2.5.1 or Qsqrt5")
count = CountBox()
self.browse_array = [[deg], [group], [abc], [abc_list], [g],
[orbit_size], [pass_size], [field], [geomtype],
[is_primitive], [count]]
self.refine_array = [[deg, group, abc, abc_list],
[g, orbit_size, pass_size, field],
[geomtype, is_primitive]]
def __init__(self):
degree = TextBox(name="degree",
label="Degree",
knowl="nf.degree",
example=3)
signature = TextBox(name="signature",
label="Signature",
knowl="nf.signature",
example="[1,1]")
discriminant = TextBox(name="discriminant",
label="Discriminant",
knowl="nf.discriminant",
example="-1000..-1",
example_span="-3 or 1000-2000")
rd = TextBox(name="rd",
label="Root discriminant",
knowl="nf.root_discriminant",
example="1..4.3",
example_span="a range such as 1..4.3 or 3-10")
cm_field = YesNoBox(name="cm_field",
label="CM field",
knowl="nf.cm_field")
gal = TextBoxNoEg(
name="galois_group",
label="Galois group",
knowl="nf.galois_group",
example="C5",
example_span_colspan=4,
example_span=
"%s, e.g. [8,3] or [16,7]; %s, e.g. C5 or S12; %s, e.g., 7T2 or 11T5"
% (display_knowl("group.small_group_label", "GAP id's"),
display_knowl("nf.galois_group.name", "group names"),
display_knowl("gg.label", "transitive group labels")))
regulator = TextBox(name="regulator",
label="Regulator",
knowl="nf.regulator",
example="1..3.5",
example_span="a range such as 1..3.5")
class_number = TextBox(name="class_number",
label="Class number",
knowl="nf.class_number",
example="5")
class_group = TextBox(name="class_group",
label="Class group structure",
knowl="nf.ideal_class_group",
example="[2,4]",
example_span="[ ], [3], or [2,4]")
num_ram = TextBox(name="num_ram",
label="Ramified prime count",
knowl="nf.ramified_primes",
example=2)
ram_quantifier = SubsetNoExcludeBox(name="ram_quantifier")
ram_primes = TextBoxWithSelect(name="ram_primes",
label="Ramified",
knowl="nf.ramified_primes",
example="2,3",
select_box=ram_quantifier)
ur_primes = TextBox(name="ur_primes",
label="Unramified primes",
knowl="nf.unramified_prime",
example="2,3")
subfield = TextBox(name="subfield",
label="Intermediate field",
knowl="nf.intermediate_fields",
example_span="2.2.5.1 or x^2-5 or a " +
display_knowl("nf.nickname", "field nickname"),
example="x^2-5")
count = CountBox()
self.browse_array = [[degree, signature], [discriminant, rd], [gal],
[class_number, class_group], [num_ram, cm_field],
[ram_primes, ur_primes], [regulator, subfield],
[count]]
self.refine_array = [[
degree, signature, gal, class_number, class_group
], [regulator, num_ram, ram_primes, ur_primes, cm_field],
[discriminant, rd, subfield]]
def __init__(self):
degree = TextBox(name="degree",
label="Degree",
knowl="nf.degree",
example=3)
signature = TextBox(name="signature",
label="Signature",
knowl="nf.signature",
example="[1,1]")
discriminant = TextBox(name="discriminant",
label="Discriminant",
knowl="nf.discriminant",
example="-1000..-1",
example_span="-3 or 1000-2000")
rd = TextBox(name="rd",
label="Root discriminant",
knowl="nf.root_discriminant",
example="1..4.3",
example_span="a range such as 1..4.3 or 3-10")
cm_field = YesNoBox(name="cm_field",
label="CM field",
knowl="nf.cm_field")
gal = TextBox(name="galois_group",
label="Galois group",
knowl="nf.galois_search",
example="C5",
example_span="[8,3], C5 or 7T2")
is_galois = YesNoBox(name="is_galois",
label="Is Galois",
knowl="nf.galois_group")
regulator = TextBox(name="regulator",
label="Regulator",
knowl="nf.regulator",
example="1..3.5",
example_span="a range such as 1..3.5")
class_number = TextBox(name="class_number",
label="Class number",
knowl="nf.class_number",
example="5")
class_group = TextBox(name="class_group",
label="Class group structure",
knowl="nf.ideal_class_group",
example="[2,4]",
example_span="[ ], [3], or [2,4]")
num_ram = TextBox(name="num_ram",
label="Ramified prime count",
knowl="nf.ramified_primes",
example=2)
ram_quantifier = SubsetNoExcludeBox(name="ram_quantifier")
ram_primes = TextBoxWithSelect(name="ram_primes",
label="Ramified",
knowl="nf.ramified_primes",
example="2,3",
select_box=ram_quantifier)
ur_primes = TextBox(name="ur_primes",
label="Unramified primes",
knowl="nf.unramified_prime",
example="2,3")
subfield = TextBox(name="subfield",
label="Intermediate field",
knowl="nf.intermediate_fields",
example_span="2.2.5.1 or x^2-5 or a " +
display_knowl("nf.nickname", "field nickname"),
example="x^2-5")
count = CountBox()
self.browse_array = [[degree, signature], [discriminant, rd],
[gal, is_galois], [class_number, class_group],
[num_ram, cm_field], [ram_primes, ur_primes],
[regulator, subfield], [count]]
self.refine_array = [[
degree, signature, class_number, class_group, cm_field
], [num_ram, ram_primes, ur_primes, gal, is_galois],
[discriminant, rd, regulator, subfield]]
def __init__(self):
qshort = display_knowl("ag.base_field", "Base field")
q = TextBox(
"q",
label="Cardinality of the %s" % (qshort),
short_label=qshort,
example="81",
example_span="81 or 3-49",
)
pshort = display_knowl("ag.base_field", "Base char.")
p = TextBox(
"p",
label="Characteristic of the %s" % (qshort),
short_label=pshort,
example="3",
example_span="3 or 2-5",
)
g = TextBox("g",
label="Dimension",
knowl="ag.dimension",
example="2",
example_span="2 or 3-5")
p_rank = TextBox("p_rank",
label="$p$-rank",
knowl="av.fq.p_rank",
example="2")
p_rank_deficit = TextBox(
"p_rank_deficit",
label="$p$-rank deficit",
knowl="av.fq.p_rank",
example="2",
advanced=True,
)
angle_rank = TextBox(
"angle_rank",
label="Angle rank",
knowl="av.fq.angle_rank",
example="3",
example_col=False,
advanced=True,
)
newton_polygon = TextBox(
"newton_polygon",
label="Slopes of Newton polygon",
knowl="lf.newton_polygon",
example="[0,0,1/2]",
colspan=(1, 3, 1),
width=3 * 190 - 30,
short_width=160,
short_label="Slopes",
advanced=True,
)
initial_coefficients = TextBox(
"initial_coefficients",
label="Initial coefficients",
knowl="av.fq.initial_coefficients",
example="[2, -1, 3, 9]",
)
abvar_point_count = TextBox(
"abvar_point_count",
label="Point counts of the variety",
knowl="ag.fq.point_counts",
example="[75,7125]",
colspan=(1, 3, 1),
width=3 * 190 - 30,
short_width=160,
short_label="Points on variety",
advanced=True,
)
curve_point_count = TextBox(
"curve_point_count",
label="Point counts of the curve",
knowl="av.fq.curve_point_counts",
example="[9,87]",
colspan=(1, 3, 1),
width=3 * 190 - 30,
short_width=160,
short_label="Points on curve",
advanced=True,
)
def nbsp(knowl, label):
return " " + display_knowl(knowl, label)
number_field = TextBox(
"number_field",
label=nbsp("av.fq.number_field", "Number field"),
short_label=display_knowl("av.fq.number_field", "Number field"),
example="4.0.29584.2",
example_span="4.0.29584.2 or Qzeta8",
colspan=(1, 3, 1),
width=3 * 190 - 30,
short_width=160,
advanced=True,
)
galois_group = TextBox(
"galois_group",
label=nbsp("nf.galois_group", "Galois group"),
short_label=display_knowl("nf.galois_group", "Galois group"),
example="4T3",
example_span="C4, or 8T12, a list of " +
display_knowl("nf.galois_group.name", "group names"),
colspan=(1, 3, 1),
width=3 * 190 - 30,
short_width=160,
advanced=True,
)
#size = TextBox(
# "size",
# label="Isogeny class size",
# knowl="av.fq.isogeny_class_size",
# example="1",
# example_col=False,
# advanced=True,
#)
gdshort = display_knowl("av.endomorphism_field", "End.") + " degree"
gdlong = "Degree of " + display_knowl("av.endomorphism_field",
"endomorphism_field")
geom_deg = TextBox(
"geom_deg",
label=gdlong,
short_label=gdshort,
example="168",
example_span="6-12, 168",
advanced=True,
)
jac_cnt = TextBox(
"jac_cnt",
label="Number of Jacobians",
knowl="av.jacobian_count",
example="6",
short_label="# Jacobians",
advanced=True,
)
hyp_cnt = TextBox(
"hyp_cnt",
label="Number of hyperelliptic Jacobians",
knowl="av.hyperelliptic_count",
example="6",
example_col=False,
short_label="# Hyp. Jacobians",
advanced=True,
)
tcshort = display_knowl("av.twist", "# twists")
tclong = "Number of " + display_knowl("av.twist", "twists")
twist_count = TextBox(
"twist_count",
label=tclong,
short_label=tcshort,
example="390",
advanced=True,
)
max_twist_degree = TextBox(
"max_twist_degree",
label="Max twist degree",
knowl="av.twist",
example="16",
example_col=False,
advanced=True,
)
simple = YesNoBox(
"simple",
label="Simple",
knowl="av.simple",
)
geom_simple = YesNoBox(
"geom_simple",
label="Geometrically simple",
knowl="av.geometrically_simple",
short_label="Geom. simple",
)
geom_squarefree = SelectBox(name="geom_squarefree",
knowl="av.geometrically_squarefree",
label="(Geometrically) Squarefree",
short_label="(Geom.) Sq.free",
options=[('', ''), ('Yes', 'yes'),
('YesAndGeom', 'yes; and geom.'),
('YesNotGeom', 'yes; not geom.'),
('No', 'no'),
('NotGeom', 'not geom.')],
advanced=True)
primitive = YesNoBox(
"primitive",
label="Primitive",
knowl="ag.primitive",
)
polarizable = YesNoMaybeBox(
"polarizable",
label="Principally polarizable",
knowl="av.princ_polarizable",
short_label="Princ. polarizable",
)
jacobian = YesNoMaybeBox("jacobian",
label="Jacobian",
knowl="ag.jacobian")
uglabel = "Use %s in the following inputs" % display_knowl(
"av.decomposition", "Geometric decomposition")
use_geom_decomp = CheckBox("use_geom_decomp",
label=uglabel,
short_label=uglabel)
use_geom_index = CheckboxSpacer(use_geom_decomp,
colspan=4,
advanced=True)
use_geom_refine = CheckboxSpacer(use_geom_decomp,
colspan=5,
advanced=True)
def long_label(d):
return nbsp("av.decomposition", "Dimension %s factors" % d)
def short_label(d):
return display_knowl("av.decomposition", "Dim %s factors" % d)
dim1 = TextBox(
"dim1_factors",
label=long_label(1),
example="1-3",
example_col=False,
short_label=short_label(1),
advanced=True,
)
dim1d = TextBox(
"dim1_distinct",
label="Distinct factors",
knowl="av.decomposition",
example="1-2",
example_span="2 or 1-3",
short_label="(distinct)",
advanced=True,
)
dim2 = TextBox(
"dim2_factors",
label=long_label(2),
example="1-3",
example_col=False,
short_label=short_label(2),
advanced=True,
)
dim2d = TextBox(
"dim2_distinct",
label="Distinct factors",
knowl="av.decomposition",
example="1-2",
example_span="2 or 1-3",
short_label="(distinct)",
advanced=True,
)
dim3 = TextBox(
"dim3_factors",
label=long_label(3),
example="2",
example_col=False,
short_label=short_label(3),
advanced=True,
)
dim3d = TextBox(
"dim3_distinct",
label="Distinct factors",
knowl="av.decomposition",
example="1",
example_span="2 or 0-1",
short_label="(distinct)",
advanced=True,
)
dim4 = TextBox(
"dim4_factors",
label=long_label(4),
example="2",
example_col=False,
short_label=short_label(4),
advanced=True,
)
dim5 = TextBox(
"dim5_factors",
label=long_label(5),
example="2",
example_col=False,
short_label=short_label(5),
advanced=True,
)
dim4d = dim5d = SkipBox(example_span="0 or 1", advanced=True)
simple_quantifier = SubsetBox("simple_quantifier", )
simple_factors = TextBoxWithSelect(
"simple_factors",
label="Simple factors",
select_box=simple_quantifier,
knowl="av.decomposition",
colspan=(1, 3, 2),
width=3 * 190 - 30,
short_width=2 * 190 - 30,
example="1.2.b,1.2.b,2.2.a_b",
advanced=True,
)
count = CountBox()
self.refine_array = [
[q, p, g, p_rank, initial_coefficients],
[simple, geom_simple, primitive, polarizable, jacobian],
[
newton_polygon, abvar_point_count, curve_point_count,
simple_factors
],
[angle_rank, jac_cnt, hyp_cnt, twist_count, max_twist_degree],
[geom_deg, p_rank_deficit, geom_squarefree],
use_geom_refine,
[dim1, dim2, dim3, dim4, dim5],
[dim1d, dim2d, dim3d, number_field, galois_group],
]
self.browse_array = [
[q, primitive],
[p, simple],
[g, geom_simple],
[initial_coefficients, polarizable],
[p_rank, jacobian],
[p_rank_deficit, geom_squarefree],
[jac_cnt, hyp_cnt],
[geom_deg, angle_rank],
[twist_count, max_twist_degree],
[newton_polygon],
[abvar_point_count],
[curve_point_count],
[simple_factors],
use_geom_index,
[dim1, dim1d],
[dim2, dim2d],
[dim3, dim3d],
[dim4, dim4d],
[dim5, dim5d],
[number_field],
[galois_group],
[count],
]
def __init__(self):
cond = TextBox(
name="conductor",
label="Conductor",
knowl="ec.q.conductor",
example="389",
example_span="389 or 100-200")
rank = TextBox(
name="rank",
label="Rank",
knowl="ec.rank",
example="0")
torsion = TextBox(
name="torsion",
label="Torsion order",
knowl="ec.torsion_order",
example="2")
sha = TextBox(
name="sha",
label="Analytic order of Ш",
knowl="ec.analytic_sha_order",
example="4")
surj_primes = TextBox(
name="surj_primes",
label="Maximal primes",
knowl="ec.maximal_galois_rep",
example="2,3")
isodeg = TextBox(
name="isogeny_degrees",
label="Cyclic isogeny degree",
knowl="ec.isogeny",
example="16")
class_size = TextBox(
name="class_size",
label="Isogeny class size",
knowl="ec.isogeny",
example="4")
class_deg = TextBox(
name="class_deg",
label="Isogeny class degree",
knowl="ec.isogeny",
example="16")
num_int_pts = TextBox(
name="num_int_pts",
label="Number of %s" % display_knowl("ec.q.integral_points", "integral points"),
example="2",
example_span="2 or 4-15")
jinv = TextBox(
name="jinv",
label="j-invariant",
knowl="ec.q.j_invariant",
example="1728",
example_span="1728 or -4096/11")
cm = SelectBox(
name="include_cm",
label="CM",
knowl="ec.complex_multiplication",
options=[('', ''), ('only', 'potential CM'), ('exclude', 'no potential CM')])
tor_opts = ([("", ""),
("[]", "trivial")] +
[("[%s]"%n, "C%s"%n) for n in range(2, 13) if n != 11] +
[("[2,%s]"%n, "C2×C%s"%n) for n in range(2, 10, 2)])
torsion_struct = SelectBox(
name="torsion_structure",
label="Torsion structure",
knowl="ec.torsion_subgroup",
options=tor_opts)
optimal = SelectBox(
name="optimal",
label="Curves per isogeny class",
knowl="ec.isogeny_class",
example="all, one",
options=[("", "all"),
("on", "one")])
surj_quant = SubsetNoExcludeBox(
name="surj_quantifier")
nonsurj_primes = TextBoxWithSelect(
name="nonsurj_primes",
label="Nonmax $p$",
knowl="ec.maximal_galois_rep",
example="2,3",
select_box=surj_quant)
bad_quant = SubsetBox(
name="bad_quantifier")
bad_primes = TextBoxWithSelect(
name="bad_primes",
label="Bad $p$",
knowl="ec.q.reduction_type",
example="5,13",
select_box=bad_quant)
sha_quant = SubsetBox(
name="sha_quantifier")
sha_primes = TextBoxWithSelect(
name="sha_primes",
label="$p$ dividing |Ш|",
short_label="$p$ div |Ш|",
knowl="ec.analytic_sha_order",
example="3,5",
select_box=sha_quant)
regulator = TextBox(
name="regulator",
label="Regulator",
knowl="ec.q.regulator",
example="8.4-9.1")
semistable = YesNoBox(
name="semistable",
label="Semistable",
example="Yes",
knowl="ec.semistable")
potentially_good = YesNoBox(
name="potential_good_reduction",
label="Potential good reduction",
example="Yes",
knowl="ec.potential_good_reduction")
cm_opts = [('', ''), ('-3', '-3'), ('-4', '-4'), ('-7', '-7'), ('-8', '-8'), ('-11', '-11'), ('-12', '-12'),
('-16', '-16'), ('-19', '-19'), ('-27', '-27'), ('-28', '-28'), ('-43', '-43'), ('-67', '-67'),
('-163', '-163'), ('-3,-12,-27', '-3,-12,-27'), ('-4,-16', '-4,-16'), ('-7,-28', '-7,-28')]
cm_disc = SelectBox(
name="cm_disc",
label="CM discriminant",
example="-3",
knowl="ec.complex_multiplication",
options=cm_opts
)
count = CountBox()
self.browse_array = [
[cond, jinv],
[rank, regulator],
[torsion, torsion_struct],
[cm_disc, cm],
[sha, sha_primes],
[surj_primes, nonsurj_primes],
[isodeg, bad_primes],
[class_size, num_int_pts],
[class_deg, semistable],
[optimal, potentially_good],
[count]
]
self.refine_array = [
[cond, jinv, rank, torsion, torsion_struct],
[sha, sha_primes, surj_primes, nonsurj_primes, bad_primes],
[num_int_pts, regulator, cm, cm_disc, semistable],
[optimal, isodeg, class_size, class_deg, potentially_good]
]
def __init__(self):
geometric_invariants_type = SelectBox(
name="geometric_invariants_type",
min_width=115,
options=[("", "Igusa-Clebsh"), ("igusa_inv", "Igusa"),
("g2_inv", "G2")],
)
geometric_invariants = TextBoxWithSelect(
name="geometric_invariants",
knowl="g2c.geometric_invariants",
label=r"\(\overline{\Q}\)-invariants",
example="[8,3172,30056,-692224]",
select_box=geometric_invariants_type,
width=689,
colspan=(1, 4, 1),
example_span="",
) # the last 1 is irrelevant
bad_quantifier = SubsetBox(
name="bad_quantifier",
min_width=115,
)
bad_primes = TextBoxWithSelect(
name="bad_primes",
knowl="g2c.good_reduction",
label="Bad primes",
short_label=r"Bad \(p\)",
example="5,13",
example_span="2 or 2,3,5",
select_box=bad_quantifier,
)
conductor = TextBox(
name="cond",
knowl="ag.conductor",
label="Conductor",
example="169",
example_span="169, 100-1000",
)
discriminant = TextBox(
name="abs_disc",
knowl="g2c.abs_discriminant",
label="Absolute discriminant",
short_label="Discriminant",
example="169",
example_span="169, 0-1000",
)
rational_points = TextBox(
name="num_rat_pts",
knowl="g2c.num_rat_pts",
label="Rational points*",
example="1",
example_span="0, 20-26",
)
rational_weirstrass_points = TextBox(
name="num_rat_wpts",
knowl="g2c.num_rat_wpts",
label="Rational Weierstrass points",
short_label="Weierstrass",
example="1",
example_span="1, 0-6",
)
torsion_order = TextBox(
name="torsion_order",
knowl="g2c.torsion_order",
label="Torsion order",
example="2",
)
torsion_structure = TextBox(
name="torsion",
knowl="g2c.torsion",
label="Torsion structure",
short_label="Torsion",
example="[2,2,2]",
)
two_selmer_rank = TextBox(
name="two_selmer_rank",
knowl="g2c.two_selmer_rank",
label="2-Selmer rank",
example="1",
)
analytic_sha = TextBox(
name="analytic_sha",
knowl="g2c.analytic_sha",
label="Analytic order of Ш*",
short_label="Analytic Ш*",
example="2",
)
analytic_rank = TextBox(
name="analytic_rank",
knowl="g2c.analytic_rank",
label="Analytic rank*",
example="1",
)
is_gl2_type = YesNoBox(
name="is_gl2_type",
knowl="g2c.gl2type",
label=r"$\GL_2$-type",
)
st_group = SelectBox(
name="st_group",
knowl="g2c.st_group",
label="Sato-Tate group",
short_label=r"\(\mathrm{ST}(X)\)",
options=([("", "")] + [(elt, st_group_dict[elt])
for elt in st_group_list]),
)
st_group_identity_component = SelectBox(
name="real_geom_end_alg",
knowl="g2c.st_group_identity_component",
label="Sate-Tate identity component",
short_label=r"\(\mathrm{ST}^0(X)\)",
options=([("", "")] + [(elt, real_geom_end_alg_to_ST0_dict[elt])
for elt in real_geom_end_alg_list]),
)
Q_automorphism = SelectBox(
name="aut_grp_id",
knowl="g2c.aut_grp",
label=r"\(\Q\)-automorphism group",
short_label=r"\(\mathrm{Aut}(X)\)",
options=([("", "")] + [(elt, aut_grp_dict[elt])
for elt in aut_grp_list]),
)
geometric_automorphism = SelectBox(
name="geom_aut_grp_id",
knowl="g2c.aut_grp",
label=r"\(\overline{\Q}\)-automorphism group",
short_label=r"\(\mathrm{Aut}(X_{\overline{\Q}})\)",
options=([("", "")] + [(elt, geom_aut_grp_dict[elt])
for elt in geom_aut_grp_list]),
)
Q_endomorphism = SelectBox(
name="end_alg",
knowl="g2c.end_alg",
label=r"\(\Q\)-endomorphism algebra",
short_label=r"\(\Q\)-end algebra",
options=([("", "")] + [(elt, end_alg_dict[elt])
for elt in end_alg_list]),
)
geometric_endomorphism = SelectBox(
name="geom_end_alg",
knowl="g2c.geom_end_alg",
label=r"\(\overline{\Q}\)-endomorphism algebra",
short_label=r"\(\overline{\Q}\)-end algebra",
options=([("", "")] + [(elt, geom_end_alg_dict[elt])
for elt in geom_end_alg_list]),
)
locally_solvable = YesNoBox(
name="locally_solvable",
knowl="g2c.locally_solvable",
label="Locally solvable",
)
has_square_sha = YesNoBox(
name="has_square_sha",
knowl="g2c.analytic_sha",
label=r"Order of Ш is square*",
short_label=r"Square Ш*",
)
geometrically_simple = YesNoBox(
name="is_simple_geom",
knowl="ag.geom_simple",
label="Geometrically simple",
short_label=r"\(\overline{\Q}\)-simple",
)
count = CountBox()
self.browse_array = [
[geometric_invariants],
[bad_primes, geometrically_simple],
[conductor, is_gl2_type],
[discriminant, st_group],
[rational_points, st_group_identity_component],
[rational_weirstrass_points, Q_automorphism],
[torsion_order, geometric_automorphism],
[torsion_structure, Q_endomorphism],
[two_selmer_rank, geometric_endomorphism],
[analytic_sha, has_square_sha],
[analytic_rank, locally_solvable],
[count],
]
self.refine_array = [
[
conductor,
discriminant,
rational_points,
rational_weirstrass_points,
torsion_order,
],
[
bad_primes,
two_selmer_rank,
analytic_rank,
analytic_sha,
torsion_structure,
],
[
Q_endomorphism,
st_group,
Q_automorphism,
has_square_sha,
geometrically_simple,
],
[
geometric_endomorphism,
st_group_identity_component,
geometric_automorphism,
locally_solvable,
is_gl2_type,
],
]
def __init__(self):
field = TextBox(name="field",
label="Base field",
knowl="ag.base_field",
example="2.2.5.1",
example_span="2.2.5.1 or Qsqrt5")
include_base_change = ExcludeOnlyBox(name="include_base_change",
label="Base change curves",
knowl="ec.base_change")
include_Q_curves = ExcludeOnlyBox(name="include_Q_curves",
label=r"\(\Q\)-curves",
knowl="ec.q_curve")
conductor_norm = TextBox(name="conductor_norm",
label="Conductor norm",
knowl="ec.conductor",
example="31",
example_span="31 or 1-100")
one = SelectBox(name="one",
label="Curves per isogeny class",
knowl="ec.isogeny_class",
example="all, one",
options=[("", "all"), ("yes", "one")])
include_cm = SelectBox(name="include_cm",
label="CM",
knowl="ec.complex_multiplication",
options=[('', ''), ('PCM', 'potential CM'),
('PCMnoCM', 'potential CM but no CM'),
('CM', 'CM'),
('noPCM', 'no potential CM')])
cm_disc = TextBox(name="cm_disc",
label="CM discriminant",
example="-4",
example_span="-4 or -3,-8",
knowl="ec.complex_multiplication")
jinv = TextBox(name="jinv",
label="j-invariant",
knowl="ec.j_invariant",
width=685,
short_width=160,
colspan=(1, 4, 1),
example_span_colspan=2,
example="105474/49 + a*34213/49",
example_span="")
rank = TextBox(name="rank",
label="Rank*",
knowl="ec.rank",
example="2")
torsion = TextBox(name="torsion",
label="Torsion order",
knowl="ec.torsion_order",
example="2")
bf_deg = SelectBox(name="bf_deg",
label="Base field degree",
knowl="nf.degree",
options=[("", ""), ("2", "2"), ("3", "3"),
("4", "4"), ("5", "5"), ("6", "6")])
tor_opts = (
[("", ""), ("[]", "trivial")] +
[disp_tor(tuple(t)) for t in ECNF_stats().torsion_counts if t])
torsion_structure = SelectBox(name="torsion_structure",
label="Torsion structure",
knowl="ec.torsion_subgroup",
options=tor_opts)
sha = TextBox(name="sha",
label="Analytic order* of Ш",
knowl="ec.analytic_sha_order",
example="4")
regulator = TextBox(name="regulator",
label="Regulator*",
knowl="ec.regulator",
example="8.4-9.1")
bad_quant = SubsetBox(name="bad_quantifier")
bad_primes = TextBoxWithSelect(name="conductor_norm_factors",
label="Bad primes",
knowl="ec.reduction_type",
example="5,13",
select_box=bad_quant)
isodeg = TextBox(name="isodeg",
label="Cyclic isogeny degree",
knowl="ec.isogeny",
example="16")
semistable = YesNoBox(name="semistable",
label="Semistable",
example="Yes",
knowl="ec.semistable")
potential_good_reduction = YesNoBox(
name="potential_good_reduction",
label="Potential good reduction",
example="Yes",
knowl="ec.potential_good_reduction")
class_size = TextBox(name="class_size",
label="Isogeny class size",
knowl="ec.isogeny",
example="4")
class_deg = TextBox(name="class_deg",
label="Isogeny class degree",
knowl="ec.isogeny",
example="16")
count = CountBox()
self.browse_array = [[field, bf_deg],
[conductor_norm, include_base_change],
[rank, include_Q_curves],
[torsion, torsion_structure],
[cm_disc, include_cm], [sha, regulator],
[isodeg, one], [class_size, class_deg],
[semistable, potential_good_reduction], [jinv],
[count, bad_primes]]
self.refine_array = [
[field, conductor_norm, rank, torsion, cm_disc],
[
bf_deg, include_base_change, include_Q_curves,
torsion_structure, include_cm
],
[sha, isodeg, class_size, semistable, jinv],
[regulator, one, class_deg, potential_good_reduction, bad_primes],
]
def __init__(self):
weight = TextBox(name="weight",
label="Weight",
knowl="st_group.weight",
example="1",
example_span="1 or 0-3")
degree = TextBox(name="degree",
label="Degree",
knowl="st_group.degree",
example="4",
example_span="4 or 1-6")
include_irrational = SelectBox(name="include_irrational",
label="Include irrational",
knowl="st_group.rational",
example_col=True,
options=[("", "no"), ("yes", "yes")])
identity_component = SelectBox(name="identity_component",
label="Identity component",
short_label=r"$\mathrm{ST}^0$",
knowl="st_group.identity_component",
example_span="U(1) or USp(4)",
options=[("", "")] +
[(r, r) for r in st0_list])
components = TextBox(name="components",
label="Components",
knowl="st_group.components",
example="1",
example_span="1 (connected) or 4-12")
trace_zero_density = TextBox(name="trace_zero_density",
label="Trace zero density",
knowl="st_group.trace_zero_density",
short_label=r"$\mathrm{P}[a_1=0]$",
example="1/2",
example_span="0, 1/2, or 3/8")
second_trace_moment = TextBox(name="second_trace_moment",
label="Second trace moment",
knowl="st_group.moments",
example="8")
fourth_trace_moment = TextBox(name="fourth_trace_moment",
label="Fourth trace moment",
knowl="st_group.moments",
example="96")
first_a2_moment = TextBox(name="first_a2_moment",
label="First $a_2$ moment",
knowl="st_group.moments",
example="4")
maximal = YesNoBox(name="maximal",
label="Maximal",
knowl="st_group.supgroups",
example_col=True)
component_group = TextBox(
name="component_group",
label="Component group",
knowl="st_group.component_group",
example="[48,48]",
example_span="list of %s, e.g. [8,3], or %s, e.g. S4." %
(display_knowl("group.small_group_label", "GAP ids"),
display_knowl("nf.galois_group.name", "group labels")))
count = CountBox()
self.browse_array = [[weight, trace_zero_density],
[degree, second_trace_moment],
[include_irrational, fourth_trace_moment],
[identity_component, first_a2_moment],
[maximal, components], [count, component_group]]
self.refine_array = [
[weight, degree, include_irrational, identity_component, maximal],
[
components, component_group, trace_zero_density,
second_trace_moment, fourth_trace_moment
], [first_a2_moment]
]
def __init__(self):
degree = TextBox(name="degree",
label="Degree",
knowl="nf.degree",
example=3)
signature = TextBox(name="signature",
label="Signature",
knowl="nf.signature",
example="[1,1]")
discriminant = TextBox(name="discriminant",
label="Discriminant",
knowl="nf.discriminant",
example="-1000..-1",
example_span="-3 or 1000-2000")
rd = TextBox(name="rd",
label="Root discriminant",
knowl="nf.root_discriminant",
example="1..4.3",
example_span="a range such as 1..4.3 or 3-10")
cm_field = YesNoBox(name="cm_field",
label="CM field",
knowl="nf.cm_field")
gal = TextBoxNoEg(
name="galois_group",
label="Galois group",
knowl="nf.galois_group",
example="C5",
example_span_colspan=4,
example_span=
"list of %s, e.g. [8,3] or [16,7], group names from the %s, e.g. C5 or S12, and %s, e.g., 7T2 or 11T5"
% (display_knowl("group.small_group_label", "GAP id's"),
display_knowl("nf.galois_group.name", "list of group labels"),
display_knowl("gg.label", "transitive group labels")))
regulator = TextBox(name="regulator",
label="Regulator",
knowl="nf.regulator",
example="1..3.5",
example_span="a range such as 1..3.5")
class_number = TextBox(name="class_number",
label="Class number",
knowl="nf.class_number",
example="5")
class_group = TextBox(name="class_group",
label="Class group structure",
knowl="nf.ideal_class_group",
example="[2,4]",
example_span="[ ], [3], or [2,4]")
num_ram = TextBox(name="num_ram",
label="Number of ramified primes",
knowl="nf.ramified_primes",
example=2)
ram_quantifier = SubsetBox(name="ram_quantifier", width=50)
ram_primes = TextBoxWithSelect(name="ram_primes",
label="Ram. primes",
knowl="nf.ramified_primes",
example="2,3",
select_box=ram_quantifier)
ur_primes = TextBox(name="ur_primes",
label="Unramified primes",
knowl="nf.unramified_prime",
example="2,3")
count = TextBox(name="count", label="Results to display", example=50)
self.browse_array = [[degree, signature], [discriminant, rd], [gal],
[class_number, class_group], [num_ram, cm_field],
[ram_primes, ur_primes], [regulator], [count]]
self.refine_array = [[
degree, signature, gal, class_number, class_group
], [regulator, num_ram, ram_primes, ur_primes, cm_field],
[discriminant, rd]]
