Table nf_fields
Number fields
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| Column |
Type |
Example |
| class_group |
jsonb |
[2] |
| class_number |
numeric |
2 |
| cm |
boolean |
False |
| coeffs |
numeric[] |
[15, 20, 11, -74, 60, -30, -5, -4, 1] |
| conductor |
numeric |
0 |
| degree |
smallint |
8 |
| disc_abs |
numeric |
4148928000000 |
| disc_rad |
numeric |
210 |
| 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[] |
[864, 192, 320, 192] |
| galois_label |
text |
'8T44' |
| galt |
integer |
44 |
| grd |
double precision |
83.34933539363244 |
| index |
integer |
1 |
| inessentialp |
integer[] |
[] |
| is_galois |
boolean |
False |
| is_minimal_sibling |
boolean |
False |
| iso_number |
smallint |
2 |
| label |
text |
'8.2.4148928000000.2' |
| local_algs |
text[] |
['2.1.4.6a1.2', '2.2.2.6a1.5', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.3.2.3a1.2', '5.1.2.1a1.2', '5.1.6.5a... |
| maximal_cm_subfield |
numeric[] |
|
| maxp |
numeric |
7 |
| minimal_sibling |
numeric[] |
[1, -2, 18, -54, 50, -54, 18, -2, 1] |
| monogenic |
smallint |
0 |
| narrow_class_group |
bigint[] |
[2, 2] |
| narrow_class_number |
bigint |
4 |
| num_ram |
smallint |
4 |
| r2 |
smallint |
3 |
| ramps |
numeric[] |
[2, 3, 5, 7] |
| rd |
double precision |
37.7782631373 |
| regulator |
numeric |
3706.52459924 |
| relative_class_number |
numeric |
|
| subfield_mults |
integer[] |
[1] |
| subfields |
text[] |
['2.-14.1.0.1'] |
| torsion_order |
smallint |
2 |
| unit_signature_rank |
smallint |
1 |
| used_grh |
boolean |
False |
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1331, 0, 0, 0, 0, -858, 0, 0, 0, 0, 179, 0, 0, 0, 0, -12, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 20, 'disc_abs': 1597098119556903839111328125, 'disc_rad': 55, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [715, 400], 'galois_label': '20T125', 'galt': 125, 'grd': 68.02072465087673, 'id': 18661996, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '20.0.1597098119556903839111328125.2', 'local_algs': ['5.1.20.27a1.4', '11.1.5.4a1.1', '11.1.5.4a1.3', '11.5.1.0a1.1', '11.5.1.0a1.1'], 'maximal_cm_subfield': [1, -1, 1, -1, 1], 'maxp': 11, 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 10, 'ramps': [5, 11], 'rd': 22.9174651666, 'regulator': {'__RealLiteral__': 0, 'data': '1387068.91153', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '1.-1.1.-1.1'], 'torsion_order': 10, 'unit_signature_rank': 0, 'used_grh': False}