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

Formats: - HTML - YAML - JSON - 2026-07-27T11:46:16.156926

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, 1], [2, -1], [1, -1], [-1, 0], [1, 1], [-3, 3], [3, 0], [3, -3], [0, -1], [-3, 3], [1, -2], [6, -6], [-3, 0], [-2, 1], [0, 1], [-3, 3], [3, 0], [-3, -2], [-1, 1], [-3, 6], [-3, 0], [-8, 8], [6, -3], [-4, 0], [6, 0], [3, -6], [0, 3], [-5, 0], [-1, -1], [0, 7], [5, -5], [-3, 6], [-3, 0], [3, -3], [0, -3], [2, 0], [2, -5], [6, -12], [-3, 0], [-1, 0], [-6, 3], [0, -8], [0, 3], [-3, 3], [-8, 0], [9, 0], [1, 1], [0, -2], [0, -4], [-3, 6], [0, -6], [0, -3], [6, -3], [3, -3], [-9, 9], [-8, 1], [0, -5], [3, 0], [-1, 2], [7, 0], [-7, 7], [0, 9], [7, 0], [-6, 6], [-6, 3], [4, -4], [0, 3], [-8, 16], [3, 0], [15, -15], [9, -9], [5, -5], [0, 2], [-8, 4], [-5, 3], [0, -9], [12, -6], [0, 12], [0, -1], [0, -9], [0, -1], [1, -1], [3, 3], [3, -3], [8, -8], [-10, 5], [-9, 9], [0, 1], [-3, 0], [0, 18], [0, 8], [7, 7], [0, 9], [3, 2], [5, -10], [0, 2], [2, -2], [0, 9], [-4, 4]], 'ap': [[0, 1], [2, -1], [-1, 0], [-3, 3], [-3, 3], [6, -6], [-3, 3], [-3, -2], [-8, 8], [-5, 0], [0, 7], [2, 0], [-1, 0], [0, -8], [9, 0], [0, -3], [3, 0], [7, 0], [4, -4], [15, -15], [5, -5], [0, 12], [1, -1], [0, 1], [0, 2], [-5, 0], [0, 7], [-4, 0], [1, -1], [0, -15], [0, -7], [-17, 0], [3, 0], [-4, 4], [3, 0], [-19, 19], [7, 0], [-4, 0], [-12, 12], [0, 14], [4, 0], [0, -11], [9, -9], [-17, 0], [-22, 0], [0, 17], [23, 0], [0, 8], [21, -21], [0, -3], [1, -1], [0, 27], [15, 0], [0, -3], [2, -2], [0, -24], [-3, 3], [15, -15], [5, -5], [-5, 0], [-5, 0], [0, 25], [-9, 9], [0, 7], [-25, 0], [-21, 0], [-27, 27], [-13, 0], [-33, 0], [5, -5], [29, -29], [-17, 17], [-31, 0], [0, -23], [12, 0], [19, 0], [15, 0], [13, -13], [-17, 0], [-10, 10], [0, 23], [0, -2], [0, -27], [0, 29], [0, -16], [9, 0], [-10, 0], [-3, 3], [0, 6], [0, -5], [8, 0], [1, 0], [32, 0], [35, 0], [19, 0], [0, -15], [38, -38], [-2, 0], [0, -11], [0, 25], [-11, 0], [0, 9], [0, -37], [-15, 15], [0, 19], [30, 0], [0, 20], [0, 9], [-36, 36], [29, -29], [0, 3], [21, -21], [-22, 22], [-35, 35], [0, -43], [0, -34], [-1, 0], [0, 0], [0, -19], [-31, 0], [-42, 42], [25, -25], [-7, 7], [36, 0], [13, -13], [-39, 39], [11, 0], [-41, 41], [0, -8], [0, 41], [-45, 45], [-21, 0], [-40, 40], [13, -13], [0, 17], [42, -42], [0, 45], [0, -17], [0, -15], [22, 0], [0, -23], [3, 0], [56, -56], [0, -7], [2, 0], [0, 24], [0, 14], [0, -6], [-20, 20], [-32, 0], [-13, 0], [-10, 0], [0, 45], [8, -8], [0, -16], [-7, 7], [-28, 0], [0, -50], [0, -47], [38, -38], [0, 4], [-31, 31], [7, 0], [3, -3], [0, 45], [0, 40], [-13, 13], [-25, 0]], 'char_orbit_index': 7, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504011977785515, 'hecke_ring_character_values': [[20, [0, -1]], [154, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 17538, 'label': '171.2.g.b', 'level': 171, 'maxp': 997, 'weight': 2}