Table nf_fields
Number fields
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| Column |
Type |
Example |
| class_group |
jsonb |
[2, 4, 16] |
| class_number |
numeric |
128 |
| cm |
boolean |
True |
| coeffs |
numeric[] |
[6859, -361, 931, -36, 49, -1, 1] |
| conductor |
numeric |
0 |
| degree |
smallint |
6 |
| disc_abs |
numeric |
1830064920000 |
| disc_rad |
numeric |
19892010 |
| disc_sign |
smallint |
-1 |
| embeddings_gen_imag |
double precision[] |
|
| embeddings_gen_real |
double precision[] |
|
| gal_is_abelian |
boolean |
False |
| gal_is_cyclic |
boolean |
False |
| gal_is_solvable |
boolean |
True |
| galois_disc_exponents |
numeric[] |
[72, 24, 32, 24, 24, 24] |
| galois_label |
text |
'6T11' |
| galt |
integer |
11 |
| grd |
double precision |
11664.451745547636 |
| index |
integer |
1 |
| inessentialp |
integer[] |
[] |
| is_galois |
boolean |
False |
| is_minimal_sibling |
boolean |
True |
| iso_number |
smallint |
1 |
| label |
text |
'6.0.1830064920000.1' |
| local_algs |
text[] |
['2.2.1.0a1.1', '2.1.4.6a1.1', '3.2.1.0a1.1', '3.1.2.1a1.2', '3.2.1.0a1.1', '5.2.3.4a1.2', '23.1.1.0... |
| maximal_cm_subfield |
numeric[] |
[6859, -361, 931, -36, 49, -1, 1] |
| maxp |
numeric |
227 |
| minimal_sibling |
numeric[] |
|
| monogenic |
smallint |
0 |
| narrow_class_group |
bigint[] |
[2, 4, 16] |
| narrow_class_number |
bigint |
128 |
| num_ram |
smallint |
6 |
| r2 |
smallint |
3 |
| ramps |
numeric[] |
[2, 3, 5, 23, 127, 227] |
| rd |
double precision |
110.597272325 |
| regulator |
numeric |
72.46108277194782 |
| relative_class_number |
numeric |
128 |
| subfield_mults |
integer[] |
[1] |
| subfields |
text[] |
['2.-8.-1.1'] |
| torsion_order |
smallint |
2 |
| unit_signature_rank |
smallint |
0 |
| used_grh |
boolean |
False |
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 9, -23, 43, -57, 55, -23, -12, 32, -27, 15, -1, -4, 6, -3, 1], 'conductor': 0, 'degree': 16, 'disc_abs': 731086699811838561, 'disc_rad': 57, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [64, 24], 'galois_label': '16T60', 'galt': 60, 'grd': 18.859860385004858, 'id': 21083650, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '16.0.731086699811838561.1', 'local_algs': ['3.4.1.0a1.1', '3.4.3.16a2.1', '19.4.2.4a1.2', '19.4.2.4a1.2'], 'maximal_cm_subfield': [5, -1, 1], 'maxp': 19, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 8, 'ramps': [3, 19], 'rd': 13.076696830622021, 'regulator': {'__RealLiteral__': 0, 'data': '188.5109795655095', 'prec': 54}, 'subfield_mults': [1, 1, 1], 'subfields': ['5.-1.1', '20.1.3.-1.1', '1.1.5.-1.11.1.5.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 0, 'used_grh': False}