Database - mf_hecke_nf ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-01-12T04:33:05.198026

Query: /api/mf_hecke_nf/?_offset=0

Column	Type
an	jsonb
ap	jsonb
char_orbit_index	smallint
field_poly	numeric[]
hecke_orbit_code	bigint
hecke_ring_character_values	jsonb
hecke_ring_cyclotomic_generator	integer
hecke_ring_denominators	numeric[]
hecke_ring_inverse_denominators	numeric[]
hecke_ring_inverse_numerators	numeric[]
hecke_ring_numerators	numeric[]
hecke_ring_power_basis	boolean
hecke_ring_rank	integer
label	text
level	integer
maxp	integer
weight	smallint

{'an': [[[1, 0]], [[1, 5], [1, 9]], [[1, 6]], [[-1, 0], [-1, 4], [-1, 8]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 8]], [[2, 3], [-1, 3], [-1, 5], [1, 7], [-1, 9]], [[-1, 2]], [[-1, 4], [-1, 8]], [[-1, 3], [1, 5]], [[1, 0], [1, 4], [-1, 6]], [[-1, 8]], [[-1, 3], [-1, 7]], [[-1, 5]], [[1, 0], [-2, 2], [1, 2], [1, 4], [-1, 6], [1, 8]], [[1, 7], [-1, 9]], [[1, 1], [-1, 7]], [[1, 8]], [[1, 3], [1, 7], [-1, 9]], [[-1, 4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8]], [[-1, 7]], [[1, 1], [-1, 3], [1, 5], [1, 9]], [], [[1, 3], [1, 7]], [[-1, 8]], [[1, 2], [1, 6], [-1, 8]], [[-1, 1], [-1, 5]], [[1, 0], [1, 4]], [[-1, 2], [1, 8]], [[2, 1], [-1, 1], [-2, 3], [1, 3], [2, 5], [-1, 7], [1, 9]], [[-1, 1], [-1, 9]], [[-1, 2], [1, 4], [-1, 6], [1, 8]], [[-1, 7]], [[-1, 0], [1, 2], [1, 6]], [], [[-1, 3], [-1, 7]], [[1, 4]], [[-1, 2], [1, 4], [-1, 6], [1, 8]], [[1, 3], [-1, 5]], [[1, 3], [-1, 9]], [[-1, 0]], [[-1, 1], [1, 3], [1, 3], [-1, 5], [1, 7], [-1, 9]], [[1, 1]], [[1, 2], [1, 6]], [[1, 1], [1, 5]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [], [], [[-1, 3], [1, 5]], [[-1, 2], [-1, 6], [1, 8]], [], [[1, 3], [1, 7]], [[1, 2], [-1, 4]], [[-1, 1], [1, 3], [-1, 5], [1, 7]], [[-1, 4]], [[2, 0], [1, 4], [-1, 6]], [], [[-1, 3], [1, 5], [1, 9]], [[-1, 0], [1, 2]], [[1, 1], [-1, 3], [-1, 7], [-1, 7]], [[1, 0]], [[-3, 0], [1, 0], [2, 2], [-1, 2], [-2, 4], [1, 6], [-1, 8]], [[1, 7]], [[1, 0], [1, 4], [-1, 6], [1, 8]], [], [[1, 1], [-1, 3], [1, 5], [-1, 7], [-1, 7], [1, 9]], [[1, 3]], [[1, 2], [1, 6]], [[-1, 3], [1, 9]], [[-1, 1], [-1, 5], [1, 7], [-1, 9]], [[-1, 0]], [], [], [[1, 2], [1, 6], [-1, 8]], [[1, 1], [-1, 3]], [[-1, 3], [1, 9]], [], [[1, 1], [-1, 3], [1, 5], [-1, 7], [1, 9]], [[1, 4]], [[1, 0], [-1, 2], [1, 4], [1, 8]], [[-1, 1], [1, 7]], [[-1, 2], [1, 4], [1, 8]], [[-1, 6], [1, 8]], [[-1, 5], [-1, 9]], [[1, 1], [-1, 7]], [[2, 0], [-2, 2], [1, 4], [-1, 6], [2, 8]], [[-1, 3]], [[-1, 0], [1, 6]], [[1, 6]], [[-1, 1], [-1, 5], [1, 7]], [[-1, 4], [-1, 8]], [[-2, 0], [-1, 4], [1, 6]], [[-1, 7]], [[-2, 1], [1, 3], [-1, 5], [1, 7], [-1, 9]], [], [], [[1, 5], [-1, 7]], []], 'ap': [[[1, 5], [1, 9]], [[1, 6]], [[1, 9]], [[1, 8]], [[-1, 3], [1, 5]], [[-1, 8]], [[1, 7], [-1, 9]], [[1, 8]], [[-1, 7]], [[-1, 1], [-1, 5]], [[-1, 2], [1, 8]], [], [[1, 3], [-1, 5]], [[-1, 0]], [[1, 1], [1, 5]], [], [], [[-1, 0], [1, 2]], [], [[-1, 3], [1, 9]], [[-1, 0]], [], [[-1, 1], [1, 7]], [[-1, 3]], [], [], [], [[1, 9], [1, 9]], [[-1, 6]], [[1, 3]], [[-1, 8]], [[1, 1], [-1, 3]], [[1, 3]], [[-1, 8]], [[1, 5], [1, 9]], [[1, 0], [1, 8]], [[-1, 0]], [[1, 4]], [[1, 1], [1, 5]], [[1, 5]], [], [], [[1, 3]], [], [[-1, 3], [-1, 7]], [[1, 2], [-1, 8]], [[1, 8]], [[1, 0]], [[1, 3]], [[-1, 2], [-1, 6]], [[-1, 3], [1, 9]], [], [[1, 6], [-1, 8]], [], [], [[1, 7]], [], [[1, 0], [1, 8]], [], [[1, 3], [-1, 5]], [[1, 8]], [[1, 1]], [[1, 6]], [[-1, 7]], [[1, 4], [1, 8]], [[-1, 3]], [], [[1, 2]], [[-1, 3], [1, 5]], [[1, 0]], [[-1, 7], [1, 9]], [[-1, 1], [-1, 9]], [[-1, 8]], [[-1, 0], [1, 2]], [], [], [[1, 5]], [[-1, 2], [1, 4]], [], [[1, 0], [-1, 6]], [[-1, 3], [1, 9]], [[-1, 4], [1, 6]], [[1, 7]], [[1, 4]], [], [[-1, 9]], [[1, 3]], [[-1, 0], [-1, 4]], [[1, 9]], [[-1, 4]], [[1, 1]], [[-1, 3], [1, 5]], [[-1, 0], [-1, 4]], [], [[1, 2]], [[-1, 1], [1, 7]], [[-1, 9]], [], [[-1, 2], [1, 8]], [], [], [[-1, 1], [1, 3]], [], [[-1, 5], [-1, 9]], [], [[1, 4]], [[-1, 9]], [], [[-1, 5]], [], [[1, 0]], [[-1, 8]], [], [[-1, 4], [1, 6]], [[-1, 0], [-1, 4]], [[-1, 1]], [], [[-1, 5]], [[-1, 7], [1, 9]], [], [], [[-1, 2], [1, 8]], [[1, 3]], [[-1, 3], [-1, 7]], [[-1, 0]], [[1, 7]], [[-1, 6], [1, 8]], [[-1, 5], [-1, 9]], [[1, 0]], [[1, 6], [-1, 8]], [], [], [[1, 0], [-1, 2]], [[1, 4]], [], [[1, 2], [1, 6]], [], [[-1, 0], [-1, 8]], [[1, 1], [1, 5]], [[1, 5], [1, 9]], [], [], [[-1, 2], [-1, 6]], [], [[-1, 4], [1, 6]], [], [[-1, 0], [-1, 4]], [], [], [[-1, 7], [1, 9]], [[-1, 2], [1, 8]], [[1, 3], [-1, 9]], [], [[1, 5]], [[1, 4], [-1, 6]], [[-1, 1], [-1, 9]], [[1, 0], [1, 8]], [], [[-1, 6]], [[-1, 5], [1, 7]], [], [[-1, 5], [1, 7]], [], [[-1, 3]], [[1, 1]], [[1, 7], [-1, 9]], [], [[-1, 0]], [[1, 0], [1, 8]], [[1, 1]], [], [[1, 0]], [[-1, 1], [1, 3]], [[1, 4], [1, 8]], [[1, 8]], [[1, 1], [1, 5]], [[1, 4]], [], [[-1, 6]], [[1, 4], [-1, 6]], [[1, 2], [-1, 8]], [[1, 5], [-1, 7]], [[1, 0], [1, 0]], [[1, 1]], [[-1, 9]], [[-1, 1], [-1, 9]], [[1, 0], [1, 4]], [], [], [], [], [[1, 5], [1, 9]], [[-1, 2]], [[-1, 7]], [], [[-1, 1], [-1, 9]], [[-1, 6], [1, 8]], [[1, 6]], [], [[1, 5]], [], [[-1, 0], [-1, 4]], [], [[-1, 2], [1, 4]], [[1, 3]], [[1, 9]], [], [[1, 1], [1, 5]], [[-1, 1], [1, 3]], [[-1, 0], [1, 6]], [], [[-1, 7]], [[-1, 6]], [], [[-1, 1]], [[-1, 8]], [], [[1, 1], [-1, 3]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5]], [[-1, 4], [-1, 8]], [[1, 4], [1, 8]], [[1, 7], [1, 7]], [[-1, 0]], [[-1, 5]], [], [[-1, 3]], [], [[1, 0], [1, 4]], [[-1, 5]], [[1, 0], [1, 4]], [[1, 4]], [[-1, 0], [1, 6]], [[-1, 9]], [[-1, 2], [1, 4]], [[-1, 5], [1, 7]], [[-1, 2], [1, 8]], [], [], [], [[1, 1], [-1, 7]], [[1, 0]], [], [], [], [[-1, 1]], [[-1, 2], [1, 4]], [[-1, 5]], [[1, 0], [-1, 2]], [], [], [[1, 3], [-1, 5]], [[1, 9]], [], [], [[-1, 3]], [], [[-1, 4], [-1, 8]], [[-1, 3], [1, 5]], [[1, 0]], [], [], [[-1, 8]], [[1, 4]], [], [[-1, 0], [-1, 8]], [[-1, 9]], [[1, 5]], [[1, 0], [1, 4]], [[-1, 1]], [], [], [[-1, 2]], [], [[1, 8]], [[1, 2]], [[1, 1]], [[1, 4], [-1, 6]], [], [[-1, 5]], [], [], [[-1, 7]], [[1, 0]], [[-1, 4], [1, 6]], [[1, 1], [-1, 3]], [[1, 0]], [[-1, 5], [1, 7]], [[1, 8]], [], [[1, 5], [1, 9]], [[1, 5], [-1, 7]], [[1, 5]], [[1, 1], [1, 9]], [[-1, 0]], [[-1, 5]], [[1, 6], [-1, 8]], [], [[1, 7]], [[1, 0]], [[1, 0]], [[1, 7], [-1, 9]], [[-1, 6], [1, 8]]], 'char_orbit_index': 13, 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'hecke_orbit_code': 4504424277869177, 'hecke_ring_character_values': [[212, [[-1, 0]]], [424, [[1, 4]]]], 'hecke_ring_cyclotomic_generator': 20, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 45775, 'label': '633.1.m.b', 'level': 633, 'maxp': 1999, 'weight': 1}