Database - mf_hecke_nf (Traces of Hecke operators acting on Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-05-30T21:05:16.018992

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, 0]], [], [[1, 1]], [], [[-1, 4]], [], [[1, 3]], [], [[-1, 4]], [], [[-1, 5]], [], [[1, 4]], [], [[1, 5]], [], [[-1, 0]], [], [[1, 3]], [], [], [], [[1, 3]], [], [[1, 2]], [], [], [], [[-1, 2]], [], [[-1, 1]], [], [[1, 2]], [], [[1, 3]], [], [[1, 4]], [], [[1, 5]], [], [[1, 4]], [], [], [], [[1, 2]], [], [[-1, 3]], [], [[-1, 4]], [], [[-1, 3]], [], [[-1, 4]], [], [[-1, 5], [-1, 5]], [], [], [], [[-1, 5]], [], [[1, 4]], [], [], [], [[-1, 2]], [], [[-1, 3], [-1, 3]], [], [[1, 4]], [], [], [], [[1, 4]], [], [], [], [[-1, 2]], [], [[1, 5]], [], [[-1, 4]], [], [[-1, 1]], [], [[-1, 2]], [], [[-1, 5]], [], [], [], [[-1, 5]], [], [[1, 2]], [], [[1, 1]], []], 'ap': [[], [[1, 5]], [[-1, 0]], [[1, 1]], [[1, 3]], [[-1, 4]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, 2]], [], [[1, 2]], [[1, 4]], [[1, 5]], [], [[-1, 4]], [[-1, 5], [-1, 5]], [], [], [[-1, 3], [-1, 3]], [[1, 4]], [], [[1, 5]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 5]], [[-1, 4]], [[-1, 4]], [[1, 3], [1, 3]], [[-1, 3]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 3]], [], [[-1, 5]], [[1, 1]], [], [[-1, 1]], [], [], [], [], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 0]], [], [[1, 0]], [[-1, 3]], [[1, 4]], [[-1, 5]], [[-1, 0]], [[-1, 2]], [], [[-1, 4]], [], [], [], [], [[1, 1], [1, 1]], [[1, 4]], [], [[-1, 2]], [[1, 0]], [[1, 5]], [[-1, 3]], [[-1, 0]], [], [[1, 3]], [[1, 0]], [[-1, 2]], [[1, 0]], [], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 0], [-1, 0]], [], [], [], [], [[-1, 2]], [[1, 1]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [], [[1, 0]], [[1, 4]], [[1, 5]], [[-1, 2]], [[-1, 5]], [[1, 4]], [], [], [[-1, 5], [-1, 5]], [[-1, 4]], [[-1, 5]], [[1, 2]], [], [[1, 2]], [[-1, 3]], [[1, 4]], [[1, 4]], [[-1, 3]], [], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 5]], [], [[-1, 2]], [], [[1, 1]], [], [[-1, 0], [-1, 0]], [], [[1, 5]], [[1, 5]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 3]], [], [[1, 0]], [[-1, 4]], [[-1, 4]], [], [[1, 4]], [[-1, 4]], [], [[1, 4], [1, 4]], [], [], [[-1, 4]], [[-1, 5]], [[-1, 2]], [[1, 0]], [[-1, 3]], [[-1, 5]], [[1, 0]], [], [], [[1, 3]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[1, 4], [1, 4]], [[1, 0], [1, 0]], [], [], [], [[1, 1]], [[1, 5]], [[1, 2], [1, 2]], [[-1, 3]], [[-1, 1]], [[1, 0]], [], [[-1, 0]], [[1, 3]], [[1, 4]], [[1, 3]], [[-1, 0]], [], [[1, 4]], [[1, 5]], [[1, 4]], [], [], [], [[1, 5]], [[1, 4]], [[-1, 2]], [], [[1, 0]], [[1, 4]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, 5]], [[1, 5]], [], [[-1, 1]], [[-1, 2], [-1, 2]], [], [], [[1, 2]], [[-1, 5]], [], [[-1, 5]], [[1, 0]], [[1, 0]], [], [[1, 4]], [[-1, 5]], [[1, 3]], [[1, 2]], [[1, 5], [1, 5]], [[-1, 2]], [[1, 4]], [[-1, 5]], [], [], [], [[1, 5], [1, 5]], [[1, 0]], [[-1, 5]], [[-1, 4]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 5]], [[-1, 1]], [[1, 2]], [], [[-1, 1]], [], [], [[-1, 2], [-1, 2]], [[1, 1]], [[-1, 1]], [], [[1, 5]], [[-1, 3]], [[-1, 0]], [[-1, 2]], [[1, 1]], [], [[-1, 3]], [[1, 5]], [], [[-1, 2]], [[-1, 4]], [[1, 1], [1, 1]], [[-1, 3], [-1, 3]], [], [], [[1, 3], [1, 3]], [[1, 4]], [[-1, 2]], [], [[-1, 2]], [[-1, 0]], [[-1, 5]], [[-1, 4]], [[1, 3]], [], [[-1, 2]], [[-1, 3]], [[1, 5]], [], [], [], [], [], [[-1, 2]], [[-1, 1]], [], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 3]], [[1, 4]], [[-1, 5]], [[-1, 3]], [[1, 0]], [[-1, 2]], [[-1, 1], [-1, 1]], [], [[-1, 5], [-1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 3]], [[-1, 5]], [[1, 4]], [[-1, 4]], [[1, 3]], [], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [], [[1, 1], [1, 1]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 0]], [[1, 2]], [[-1, 1]]], 'char_orbit_index': 82, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 5566294393840, 'hecke_ring_character_values': [[127, [[-1, 0]]], [757, [[1, 0]]], [785, [[1, 4]]], [577, [[-1, 2]]]], 'hecke_ring_cyclotomic_generator': 12, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 63316, 'label': '1008.1.dd.a', 'level': 1008, 'maxp': 1999, 'weight': 1}