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

Formats: - HTML - YAML - JSON - 2026-05-31T08:00:02.003814

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, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [-2, 1, 0, 0, -2, 0], [0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [1, 0, -1, -2, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, 0, 2, 1, -2], [0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 2, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [1, 1, 0, 2, 1, -2], [0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0], [2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, -4, -4, 0, 2, 1], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0], [4, 0, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0], [-1, -1, 0, 2, -1, -2], [0, 0, 0, 0, 0, 0], [0, -4, -4, 0, 6, 3], [0, 0, 0, 0, 0, 0], [0, 0, -3, -1, -1, 2], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, -1, 2], [0, 0, 0, 0, 0, 0], [1, -6, 0, 3, 1, -3], [0, 0, 0, 0, 0, 0], [-3, 0, -5, -2, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, -5, -5, 0, 2, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, -3, 1], [0, 0, 0, 0, 0, 0], [-1, 1, 0, 3, -1, -3], [0, 0, 0, 0, 0, 0], [0, -1, -1, 0, -1, 2], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, -3, -4], [0, 0, 0, 0, 0, 0], [0, -3, 0, 3, 0, -3], [0, 0, 0, 0, 0, 0], [1, 0, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, -3, 3], [0, 0, 0, 0, 0, 0], [4, 2, 0, 1, 4, -1], [0, 0, 0, 0, 0, 0], [-2, 0, 0, -1, -2, 1], [0, 0, 0, 0, 0, 0], [-2, -2, 0, 6, -2, -6], [0, 0, 0, 0, 0, 0], [2, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, 4, -1, 0, 0], [0, 0, 0, 0, 0, 0], [-5, 3, 0, -2, -5, 2], [0, 0, 0, 0, 0, 0], [-6, 4, 0, -1, -6, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -4], [0, 0, 0, 0, 0, 0], [-2, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 2, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 6, 5], [0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 3, -4], [0, 0, 0, 0, 0, 0], [-4, 0, 0, 2, -4, -2], [0, 0, 0, 0, 0, 0], [0, -3, -3, 0, 3, 5], [0, 0, 0, 0, 0, 0], [12, 0, -1, -2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 2], [0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, 0], [-2, 1, 0, 0, -2, 0], [-1, 1, 0, 1, -1, -1], [1, 0, -1, -2, 0, 0], [1, -1, 0, 2, 1, -2], [0, 0, 0, 0, -1, 0], [1, 1, 0, 2, 1, -2], [2, 0, 0, 1, 0, 0], [1, 0, 2, 0, 0, 0], [4, 0, 0, -2, 0, 0], [0, 0, -3, -1, -1, 2], [1, -6, 0, 3, 1, -3], [-3, 0, -5, -2, 0, 0], [1, 0, 1, 1, 0, 0], [0, 1, 1, 0, -3, 1], [0, 1, 1, 0, -3, -4], [0, -3, 0, 3, 0, -3], [4, 2, 0, 1, 4, -1], [-2, -2, 0, 6, -2, -6], [2, 0, 0, 4, 0, 0], [-6, 4, 0, -1, -6, 1], [0, 0, 0, 0, 0, -4], [0, 1, 1, 0, 6, 5], [12, 0, -1, -2, 0, 0], [1, 0, 4, -1, 0, 0], [-8, 0, -6, -1, 0, 0], [4, 4, 0, -4, 4, 4], [0, 5, 5, 0, 0, -6], [0, -6, -6, 0, 4, 0], [0, 2, 2, 0, -2, -6], [0, 0, 0, 0, 0, 2], [-5, 0, -2, 1, 0, 0], [0, 4, 4, 0, 4, 4], [-7, 0, 0, -1, 0, 0], [7, 1, 0, -9, 7, 9], [0, 0, 0, 0, 9, 5], [0, 5, 5, 0, 3, 1], [13, -1, 0, 1, 13, -1], [0, 13, 13, 0, -4, 6], [13, 0, 7, 2, 0, 0], [-4, 1, 0, -5, -4, 5], [-13, 0, 3, 3, 0, 0], [9, 0, -4, 3, 0, 0], [0, 2, 2, 0, 13, 0], [0, 0, -2, -3, 0, 0], [-3, 0, -3, 7, 0, 0], [-4, 0, 2, 3, 0, 0], [-15, 3, 0, 1, -15, -1], [-11, 6, 0, -1, -11, 1], [-19, 0, -6, -4, 0, 0], [0, 0, 0, 0, -6, 1], [1, -7, 0, 5, 1, -5], [10, 0, 0, -5, 0, 0], [0, 3, 3, 0, 2, -8], [-9, -1, 0, -4, -9, 4], [-9, 0, 3, 0, 0, 0], [0, 3, 3, 0, -1, 10], [2, 5, 0, 0, 2, 0], [0, 8, 8, 0, -1, 4], [2, -12, 0, -1, 2, 1], [-6, 3, 0, 1, -6, -1], [-15, 0, -3, 1, 0, 0], [0, -6, -6, 0, 2, 10], [0, -2, -2, 0, 9, 2], [0, 7, 7, 0, 6, 2], [0, 4, 4, 0, 2, 1], [-13, -10, 0, 6, -13, -6], [14, 0, -10, 6, 0, 0], [0, 8, 8, 0, -1, 10], [0, -1, -1, 0, -24, -7], [-4, 0, -6, -3, 0, 0], [-9, 7, 0, 0, -9, 0], [0, 1, 0, 7, 0, -7], [0, -8, -8, 0, -8, -2], [4, -10, 0, 5, 4, -5], [1, 8, 0, -8, 1, 8], [-4, 0, -9, -10, 0, 0], [20, 0, 0, 3, 0, 0], [0, 2, 2, 0, -11, 6], [0, -9, -9, 0, 9, -11], [-10, 0, -3, 10, 0, 0], [-19, -11, 0, 0, -19, 0], [11, 0, 10, -5, 0, 0], [-28, -4, 0, 10, -28, -10], [3, 0, 1, -6, 0, 0], [3, 9, 0, 8, 3, -8], [19, 2, 0, -12, 19, 12], [0, 7, 7, 0, 5, 6], [21, 5, 0, -10, 21, 10], [-10, 0, 0, 7, 0, 0], [0, 7, 7, 0, 13, 11], [5, 0, 1, -3, 0, 0], [1, 0, -7, 11, 0, 0], [-5, 7, 0, -12, -5, 12], [0, 10, 10, 0, -4, 1], [0, -10, -10, 0, 1, -6], [-9, -1, 0, 13, -9, -13], [-13, -7, 0, 9, -13, -9], [10, 0, 1, 6, 0, 0], [4, 0, 10, -3, 0, 0], [0, -9, -9, 0, -10, -8], [24, 0, 4, -4, 0, 0], [5, 0, -2, -16, 0, 0], [0, 12, 12, 0, -4, 6], [0, 3, 3, 0, 7, 3], [-1, 13, 0, -3, -1, 3], [-5, 0, 2, -5, 0, 0], [-12, -12, 0, 2, -12, -2], [0, 6, 6, 0, -11, 2], [0, -7, -7, 0, 11, -5], [0, -8, -8, 0, -1, -2], [0, -3, -3, 0, -17, 6], [13, 0, 17, 7, 0, 0], [0, 0, 0, 0, -10, 5], [0, -13, -13, 0, 28, -5], [15, 0, 11, 11, 0, 0], [-14, 20, 0, -7, -14, 7], [1, 4, 0, 2, 1, -2], [1, 15, 0, -13, 1, 13], [-28, -7, 0, -3, -28, 3], [12, -16, 0, -3, 12, 3], [-13, 0, 8, 6, 0, 0], [0, 2, 2, 0, 4, 3], [0, 9, 9, 0, 13, 8], [0, 12, 12, 0, -6, 0], [3, 0, 1, 7, 0, 0], [0, 17, 17, 0, 7, 15], [5, 13, 0, -10, 5, 10], [16, 0, 0, -3, 16, 3], [-21, 0, 15, 9, 0, 0], [24, -2, 0, 1, 24, -1], [-27, 0, 3, -6, 0, 0], [0, 15, 15, 0, 16, -1], [0, -3, -3, 0, -18, 5], [13, 0, 3, -13, 0, 0], [7, -2, 0, -16, 7, 16], [-5, 0, -5, -9, 0, 0], [0, -1, -1, 0, -39, -12], [21, -15, 0, 11, 21, -11], [8, 8, 0, -12, 8, 12], [-2, -4, 0, -4, -2, 4], [0, 4, 4, 0, 4, -2], [-6, 22, 0, -8, -6, 8], [0, 27, 27, 0, 5, 4], [0, 19, 19, 0, 17, -3], [0, -1, -1, 0, -38, -6], [-4, 0, 23, 2, 0, 0], [16, 0, -8, -10, 0, 0], [0, 25, 25, 0, 9, 4], [-36, 0, 3, 8, 0, 0], [12, 1, 0, 7, 12, -7], [-11, -1, 0, -7, -11, 7], [16, 0, 2, -11, 0, 0], [10, 18, 0, -6, 10, 6], [-19, 0, 9, -1, 0, 0], [20, 0, -14, 5, 0, 0], [-22, 5, 0, -12, -22, 12], [0, 25, 25, 0, 0, 8], [0, -21, -21, 0, -8, 1], [0, 15, 15, 0, 13, -9], [0, 10, 10, 0, -32, 10], [16, 20, 0, -8, 16, 8], [0, -13, -13, 0, -11, 13], [0, -4, -4, 0, 28, -5], [0, 27, 27, 0, -7, 3], [-3, 0, 21, 15, 0, 0], [0, 13, 13, 0, -15, 5]], 'char_orbit_index': 17, 'field_poly': [1, -4, 16, -2, 4, 0, 1], 'hecke_orbit_code': 18015498054665080, 'hecke_ring_character_values': [[223, [1, 0, 0, 0, 0, 0]], [445, [1, 0, 0, 0, 0, 0]], [593, [1, 0, 0, 0, 0, 0]], [409, [-1, 0, 0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 4, 4, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 3, 1], [1, 0, 4, 0, 0, 0], [-12, 1, 0, 4, -12, -4], [0, -16, -16, 0, 7, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0], [12, -1, 4, 0, 1, 0], [-4, 16, -1, 4, 0, 1], [12, -48, 7, -12, 0, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 57914, 'label': '888.2.q.e', 'level': 888, 'maxp': 997, 'weight': 2}