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

Formats: - HTML - YAML - JSON - 2026-09-23T00:40:47.744365

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], [0, 0], [2, -2], [0, 0], [4, -2], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-2, -2], [0, 0], [2, -4], [0, 0], [4, -8], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [-4, 2], [0, 0], [7, -7], [0, 0], [4, 0], [0, 0], [6, 0], [0, 0], [-8, 8], [0, 0], [-8, 4], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-4, -4], [0, 0], [-4, 8], [0, 0], [6, -12], [0, 0], [-2, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, 6], [0, 0], [-12, 0], [0, 0], [4, 0], [0, 0], [6, -6], [0, 0], [-4, 2], [0, 0], [0, 0], [0, 0], [0, -12], [0, 0], [-2, -2], [0, 0], [-4, 8], [0, 0], [-2, 4], [0, 0], [4, 4], [0, 0], [0, -14], [0, 0], [0, 0], [0, 0], [4, -2], [0, 0], [11, -11], [0, 0], [6, 0], [0, 0], [0, 0], [0, 0], [12, -12], [0, 0], [8, -4], [0, 0], [0, 0], [0, 0], [0, 16], [0, 0], [4, 4], [0, 0], [8, -16], [0, 0], [-2, 4], [0, 0]], 'ap': [[0, 0], [2, -2], [4, -2], [0, 0], [-2, -2], [2, -4], [0, 0], [0, 2], [-4, 2], [6, 0], [-8, 8], [0, 2], [-4, 8], [6, -12], [0, 0], [-6, 6], [6, -6], [-4, 2], [-2, -2], [-2, 4], [4, 4], [4, -2], [6, 0], [8, -4], [8, -16], [6, 6], [0, 4], [-12, 6], [-14, 14], [-18, 0], [-6, 12], [0, 18], [6, -6], [2, 0], [0, -6], [2, 2], [-6, -6], [20, -10], [12, 0], [-4, 2], [6, 6], [-10, 20], [-28, 14], [2, -2], [-18, 0], [20, -20], [-2, 4], [16, 0], [-6, 6], [-12, 6], [0, 6], [-6, 12], [16, 16], [-30, 0], [-32, 16], [14, 14], [2, 2], [0, -8], [2, -2], [-6, 0], [14, -14], [6, -12], [22, 0], [-12, 12], [-8, 4], [0, -6], [4, -2], [14, 0], [-10, -10], [2, -4], [-16, -16], [-36, 18], [8, -8], [0, -14], [14, -28], [0, 24], [18, -18], [12, -6], [0, -30], [4, 4], [30, 0], [-26, 0], [-22, -22], [0, 0], [0, -28], [4, -2], [-30, 0], [0, 34], [-22, 44], [14, -28], [0, -30], [24, -24], [-14, -14], [-10, 20], [-12, 6], [-36, 0], [-36, 18], [-20, -20], [0, -2], [0, 2], [-10, 20], [18, -18], [18, -18], [0, 18], [-26, -26], [-16, -16], [18, 0], [16, -8], [14, 14], [12, -24], [0, -16], [-38, 38], [-18, 0], [-26, 26], [-2, 4], [-30, 30], [-26, 0], [-12, 12], [0, 18], [-2, 4], [-2, -2], [-14, 0], [4, -2], [22, 22], [0, 10], [30, 0], [0, 10], [0, -48], [-28, 0], [60, -30], [6, 6], [-14, 28], [-52, 26], [-10, 0], [24, -12], [8, -16], [-2, -2], [34, -34], [10, -20], [-30, 30], [-22, 0], [0, -30], [-2, -2], [14, -28], [2, 2], [12, 0], [-2, 4], [20, 20], [0, 14], [36, -18], [0, -38], [8, -16], [-2, 4], [0, 12], [14, 14], [-6, 12], [36, -18], [-48, 24], [-28, 56], [-14, -14], [-28, 14], [-6, 0], [-14, 28], [0, -18], [30, -30], [-36, 36], [-2, -2], [30, 30]], 'char_orbit_index': 16, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 22519028962558736, 'hecke_ring_character_values': [[687, [-1, 0]], [197, [1, 0]], [689, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 52866, 'label': '784.2.p.f', 'level': 784, 'maxp': 997, 'weight': 2}