Database - artin_field_data (Artin representations)

Formats: - HTML - YAML - JSON - 2026-03-04T05:04:05.108567

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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.19.2t1.a', 'Character': [[1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.76.3t2.a', 'Character': [[2], [2], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.16532356.6t8.a', 'Character': [[3], [-1], [-1], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.870124.4t5.a', 'Character': [[3], [-1], [1], [0], [-1]], 'CharacterField': 1}], 'ComplexConjugation': 3, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4]}, {'Size': '3', 'Order': 2, 'Representative': [2, 1, 4, 3]}, {'Size': '6', 'Order': 2, 'Representative': [2, 1, 3, 4]}, {'Size': '8', 'Order': 3, 'Representative': [2, 3, 1, 4]}, {'Size': '6', 'Order': 4, 'Representative': [2, 3, 4, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 3]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [4]}], 'Frobs': [3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 5, 5, 5, 4, 4, 3, 3, 4, 3, 3, 4, 5, 2, 3, 5, 2, 5, 5, 5, 3, 5, 4, 4, 4, 4, 5, 1, 2, 5, 5, 5, 3, 4, 5, 1, 4, 5, 5, 5, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 3, 4, 5, 5, 4, 2, 5, 5, 3, 4, 4, 2, 4, 2, 5, 3, 3, 4, 4, 5, 3, 2, 5, 3, 3, 5, 4, 3, 4, 4, 4, 4, 2, 5, 1, 4, 2, 5, 5, 3, 4, 3, 4, 3, 3, 2, 4, 4, 2, 3, 3, 5, 4, 4, 2, 4, 5, 4, 4, 4, 5, 5, 3, 3, 5, 4, 1, 2, 4, 4, 2, 4, 3, 5, 4, 4, 4, 5, 5, 3, 4, 3, 4, 4, 5, 3, 5, 2, 3, 4, 5, 5, 4, 4, 5, 5, 5, 2, 1, 4, 3, 2, 5, 1, 3, 5, 5, 5, 4], 'G-Gens': [[2, 3, 4, 1], [2, 1, 3, 4]], 'G-Name': 'S4', 'Polynomial': [-32, 17, -7, -1, 1], 'QpRts': [['-42398678768'], ['8407464534'], ['-14836737604'], ['-46561040718']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 157, 'QpRts-prec': 5, 'Size': 24, 'TransitiveDegree': 4, 'id': 512705}