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

Formats: - HTML - YAML - JSON - 2026-06-27T23:00:08.912756

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, 0], [-1, -1], [1, 0], [2, -4], [-1, -1], [1, 0], [1, 0], [0, 3], [2, -4], [-2, 4], [-1, -1], [-1, 2], [1, 0], [-6, 6], [1, 0], [1, -2], [0, 3], [-3, -2], [2, -4], [-1, -1], [-2, 4], [-3, 6], [-1, -1], [-7, 0], [-1, 2], [3, -6], [1, 0], [9, 0], [-6, 6], [-6, 12], [1, 0], [6, -6], [1, -2], [2, -4], [0, 3], [4, -8], [-3, -2], [3, -3], [2, -4], [0, 0], [-1, -1], [2, 0], [-2, 4], [12, -6], [-3, 6], [2, -4], [-1, -1], [-6, 0], [-7, 0], [-3, 3], [-1, 2], [-9, 0], [3, -6], [12, 0], [1, 0], [1, 7], [9, 0], [-3, 0], [-6, 6], [-8, 0], [-6, 12], [0, 3], [1, 0], [6, 0], [6, -6], [5, -10], [1, -2], [9, -9], [2, -4], [-12, 0], [0, 3], [11, 0], [4, -8], [7, 7], [-3, -2], [-2, 4], [3, -3], [4, -8], [2, -4], [-9, 9], [0, 0], [6, -12], [-1, -1], [-6, 0], [2, 0], [-9, -9], [-2, 4], [6, 0], [12, -6], [-1, 2], [-3, 6], [18, -18], [2, -4], [-14, 16], [-1, -1], [-8, 16], [-6, 0], [-12, 6], [-7, 0]], 'ap': [[1, 0], [-1, -1], [2, -4], [1, 0], [-2, 4], [-1, 2], [1, -2], [-3, -2], [-3, 6], [9, 0], [-6, 12], [4, -8], [0, 0], [2, 0], [2, -4], [-9, 0], [-3, 0], [-8, 0], [5, -10], [-12, 0], [11, 0], [4, -8], [6, -12], [6, 0], [-8, 16], [-6, 12], [2, -4], [3, 0], [-9, 18], [-12, 0], [0, 0], [2, -4], [5, -10], [-14, 0], [4, -8], [-2, 4], [4, 0], [10, 0], [0, 0], [6, 0], [12, 0], [-8, 16], [11, -22], [-2, 4], [0, 0], [11, 0], [7, -14], [6, -12], [-3, 0], [-8, 0], [4, -8], [-7, 14], [8, -16], [-8, 16], [6, 0], [-2, 4], [18, 0], [-1, 0], [-2, 0], [-12, 0], [-10, 0], [-21, 0], [6, -12], [-13, 26], [13, 0], [3, 0], [11, -22], [14, -28], [-16, 32], [-28, 0], [15, -30], [11, -22], [32, 0], [-17, 34], [7, -14], [6, 0], [-2, 4], [-22, 0], [24, 0], [22, -44], [6, -12], [-7, 14], [12, 0], [6, -12], [-12, 24], [-10, 20], [30, 0], [-25, 0], [-8, 16], [-40, 0], [16, -32], [-6, 12], [-2, 4], [0, 0], [10, 0], [-15, 30], [6, 0], [-24, 0], [-19, 38], [38, 0], [14, -28], [26, -52], [-24, 0], [24, 0], [-16, 0], [25, 0], [-8, 16], [-12, 24], [12, 0], [6, -12], [16, -32], [-2, 0], [-28, 56], [4, 0], [16, 0], [-30, 0], [-28, 0], [1, -2], [-10, 20], [-33, 0], [-13, 26], [-28, 56], [-15, 0], [12, 0], [20, 0], [0, 0], [-4, 0], [-5, 10], [-7, 0], [-22, 0], [40, 0], [30, 0], [4, -8], [16, 0], [-5, 10], [49, 0], [-3, 0], [-13, 26], [-21, 0], [19, -38], [27, -54], [-10, 20], [-23, 0], [-33, 0], [1, -2], [42, 0], [14, 0], [-24, 0], [-50, 0], [24, 0], [-31, 62], [20, -40], [16, 0], [-36, 0], [5, -10], [30, 0], [-11, 0], [9, -18], [-7, 0], [39, 0], [18, -36], [-54, 0], [16, 0], [48, 0], [-30, 0], [60, 0], [-2, 4], [-38, 0]], 'char_orbit_index': 2, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 9007268007772274, 'hecke_ring_character_values': [[77, [-1, 0]], [97, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 12942, 'label': '114.2.b.c', 'level': 114, 'maxp': 997, 'weight': 2}