Table nf_fields
Number fields
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| Column |
Type |
Example |
| class_group |
jsonb |
[2, 2] |
| class_number |
numeric |
4 |
| cm |
boolean |
False |
| coeffs |
numeric[] |
[361250, 0, 0, 0, 350, 0, 0, 0, 1] |
| conductor |
numeric |
0 |
| degree |
smallint |
8 |
| disc_abs |
numeric |
24243077120000 |
| disc_rad |
numeric |
170 |
| 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[] |
[126, 16, 16] |
| galois_label |
text |
'8T17' |
| galt |
integer |
17 |
| grd |
double precision |
141.25865630160033 |
| index |
integer |
1 |
| inessentialp |
integer[] |
[] |
| is_galois |
boolean |
False |
| is_minimal_sibling |
boolean |
False |
| iso_number |
smallint |
13 |
| label |
text |
'8.0.24243077120000.13' |
| local_algs |
text[] |
['2.1.8.27a1.77', '5.1.2.1a1.2', '5.1.2.1a1.2', '5.2.2.2a1.1', '17.2.2.2a1.1', '17.4.1.0a1.1'] |
| maximal_cm_subfield |
numeric[] |
[1, 0, 1] |
| maxp |
numeric |
17 |
| minimal_sibling |
numeric[] |
[361250, 0, 0, 0, -350, 0, 0, 0, 1] |
| monogenic |
smallint |
0 |
| narrow_class_group |
bigint[] |
[2, 2] |
| narrow_class_number |
bigint |
4 |
| num_ram |
smallint |
3 |
| r2 |
smallint |
4 |
| ramps |
numeric[] |
[2, 5, 17] |
| rd |
double precision |
47.1057006506 |
| regulator |
numeric |
2330.93477239 |
| relative_class_number |
numeric |
|
| subfield_mults |
integer[] |
[1, 1] |
| subfields |
text[] |
['1.0.1', '2.0.-2.0.1'] |
| torsion_order |
smallint |
4 |
| unit_signature_rank |
smallint |
0 |
| used_grh |
boolean |
True |
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 10, -21, 34, -46, 51, -46, 34, -21, 10, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1815232161643, 'disc_rad': 283, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '12T8', 'galt': 8, 'grd': 16.822603841260722, 'id': 18367397, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1815232161643.1', 'local_algs': ['m283.1.1.0', 'm283.1.1.0', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1'], 'maxp': 283, 'minimal_sibling': [-1, -1, 0, 0, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 5, 'ramps': [283], 'rd': 10.5093941769, 'regulator': {'__RealLiteral__': 0, 'data': '14.3846253035', 'prec': 40}, 'subfield_mults': [1, 2, 1], 'subfields': ['-1.4.0.1', '-1.-1.0.0.1', '-1.0.-1.-1.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}