Database - artin_field_data (Artin representations)

Formats: - HTML - YAML - JSON - 2026-04-01T21:34:24.803271

Query: /api/artin_field_data/?_offset=0

Column	Type
ArtinReps	jsonb
ComplexConjugation	smallint
ConjClasses	jsonb
FrobResolvents	jsonb
Frobs	jsonb
G-Gens	jsonb
G-Name	text
Polynomial	jsonb
QpRts	jsonb
QpRts-minpoly	jsonb
QpRts-p	integer
QpRts-prec	integer
Size	numeric
TransitiveDegree	smallint

{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.1407.2t1.a', 'Character': [[1], [1], [-1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.201.2t1.a', 'Character': [[1], [-1], [-1], [1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.7.2t1.a', 'Character': [[1], [-1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.1407.3t2.a', 'Character': [[2], [2], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.1407.6t3.b', 'Character': [[2], [-2], [0], [0], [-1], [1]], 'CharacterField': 1}], 'ComplexConjugation': 4, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6]}, {'Size': '1', 'Order': 2, 'Representative': [3, 6, 1, 5, 4, 2]}, {'Size': '3', 'Order': 2, 'Representative': [2, 1, 6, 4, 5, 3]}, {'Size': '3', 'Order': 2, 'Representative': [6, 3, 2, 5, 4, 1]}, {'Size': '2', 'Order': 3, 'Representative': [4, 1, 5, 2, 6, 3]}, {'Size': '2', 'Order': 6, 'Representative': [5, 3, 4, 6, 2, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-17', '1'], 'ConjugacyClass': 2}, {'RootOf': ['136', '-28', '-4', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [2, 2, 2]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [3, 3]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [6]}], 'Frobs': [5, 2, 4, 3, 5, 6, 2, 4, 3, 3, 6, 5, 4, 3, 6, 1, 6, 6, 1, 3, 4, 3, 2, 6, 6, 4, 4, 3, 3, 1, 5, 6, 5, 6, 3, 1, 4, 5, 6, 6, 5, 4, 5, 5, 5, 4, 5, 4, 6, 2, 5, 1, 4, 4, 6, 3, 6, 6, 5, 5, 4, 6, 4, 4, 2, 3, 3, 3, 5, 4, 4, 3, 6, 3, 3, 4, 3, 4, 1, 6, 6, 5, 3, 6, 4, 1, 3, 1, 2, 3, 6, 6, 3, 3, 3, 4, 2, 4, 4, 3, 3, 3, 4, 3, 5, 2, 4, 4, 5, 4, 4, 5, 3, 4, 3, 5, 4, 4, 5, 3, 2, 3, 4, 1, 4, 1, 5, 2, 6, 6, 3, 3, 5, 3, 6, 2, 6, 6, 2, 1, 2, 3, 1, 3, 4, 2, 4, 4, 4, 3, 5, 6, 3, 6, 5, 3, 3, 4, 6, 4, 3, 3, 5, 2, 3, 4, 3, 4], 'G-Gens': [[2, 1, 6, 4, 5, 3], [3, 6, 1, 5, 4, 2], [1, 4, 3, 2, 6, 5]], 'G-Name': 'D12', 'Polynomial': [9, -27, 19, 7, -7, -1, 1], 'QpRts': [['-32723358', '-67110087'], ['44265468', '67110087'], ['62742167', '8827479'], ['38239468', '0'], ['10111148', '0'], ['25400997', '-8827479']], 'QpRts-minpoly': [5, 21, 1], 'QpRts-p': 23, 'QpRts-prec': 6, 'Size': 12, 'TransitiveDegree': 6, 'id': 460449}