Table nf_fields
Number fields
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| Column |
Type |
Example |
| class_group |
jsonb |
[2, 2, 2, 4, 4, 4] |
| class_number |
numeric |
512 |
| cm |
boolean |
False |
| coeffs |
numeric[] |
[1009076251652015625, 0, -345891351487500, 0, 21511154340, 0, -304980, 0, 1] |
| conductor |
numeric |
0 |
| degree |
smallint |
8 |
| disc_abs |
numeric |
11404868068647710695255965696000000 |
| disc_rad |
numeric |
152490 |
| 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[] |
[24, 6, 6, 6, 4, 6] |
| galois_label |
text |
'8T5' |
| galt |
integer |
5 |
| grd |
double precision |
18077.413129297856 |
| index |
integer |
1 |
| inessentialp |
integer[] |
[] |
| is_galois |
boolean |
True |
| is_minimal_sibling |
boolean |
True |
| iso_number |
smallint |
14 |
| label |
text |
'8.8.11404868068647710695255965696000000.14' |
| local_algs |
text[] |
['2.1.8.24c1.56', '3.2.4.6a1.3', '5.1.4.3a1.3', '5.1.4.3a1.3', '13.1.4.3a1.1', '13.1.4.3a1.1', '17.2... |
| maximal_cm_subfield |
numeric[] |
|
| maxp |
numeric |
23 |
| minimal_sibling |
numeric[] |
|
| monogenic |
smallint |
0 |
| narrow_class_group |
bigint[] |
[2, 2, 2, 2, 2, 2, 4, 4, 4] |
| narrow_class_number |
bigint |
4096 |
| num_ram |
smallint |
6 |
| r2 |
smallint |
0 |
| ramps |
numeric[] |
[2, 3, 5, 13, 17, 23] |
| rd |
double precision |
18077.413129297856 |
| regulator |
numeric |
1801157094479.6003 |
| relative_class_number |
numeric |
|
| subfield_mults |
integer[] |
[1, 1, 1, 1] |
| subfields |
text[] |
['-299.0.1', '-690.0.1', '-390.0.1', '5625.0.-540.0.1'] |
| torsion_order |
smallint |
2 |
| unit_signature_rank |
smallint |
5 |
| used_grh |
boolean |
True |
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, -2, -1, 8, -10, 4, 3, -6, 3, 2, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 458342033107, 'disc_rad': 301, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [128, 96], 'galois_label': '12T104', 'galt': 104, 'grd': 23.99567223510292, 'id': 18367180, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.458342033107.1', 'local_algs': ['7.4.3.8a1.3', '43.2.1.0a1.1', '43.1.2.1a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.1.2.1a1.2', '43.1.2.1a1.1'], 'maxp': 43, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 43], 'rd': 9.37056564065, 'regulator': {'__RealLiteral__': 0, 'data': '6.54549766683', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.3.2.-2.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}