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

Formats: - HTML - YAML - JSON - 2026-05-26T12:54:01.732943

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, 1, 1, 0], [0, 0, 0, 0], [0, -1, 2, 0], [0, 0, 0, 0], [-3, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, -2, 2, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-3, 0, 0, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [0, -5, -4, 0], [0, 0, 0, 0], [-6, 0, 0, -2], [0, 0, 0, 0], [-4, 0, 0, 4], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [0, -2, 4, 0], [0, 0, 0, 0], [-2, 0, 0, 4], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [0, -1, -5, 0], [0, 0, 0, 0], [0, -7, 0, 0], [0, 0, 0, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [-4, 0, 0, -4], [0, 0, 0, 0], [0, 7, 1, 0], [0, 0, 0, 0], [0, -8, 2, 0], [0, 0, 0, 0], [5, 0, 0, -3], [0, 0, 0, 0], [4, 0, 0, 6], [0, 0, 0, 0], [0, 1, 1, 0], [0, 0, 0, 0], [0, 2, -4, 0], [0, 0, 0, 0], [-10, 0, 0, 6], [0, 0, 0, 0], [8, 0, 0, 4], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 6], [0, 0, 0, 0], [1, 0, 0, -2], [0, 0, 0, 0], [0, 6, 2, 0], [0, 0, 0, 0], [0, -10, -8, 0], [0, 0, 0, 0], [-1, 0, 0, 9], [0, 0, 0, 0], [4, 0, 0, -4], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 2, -4, 0], [0, 0, 0, 0], [-2, 0, 0, -10], [0, 0, 0, 0], [-1, 0, 0, -6], [0, 0, 0, 0], [0, -2, 10, 0], [0, 0, 0, 0], [0, -1, 2, 0], [0, 0, 0, 0], [-6, 0, 0, -2], [0, 0, 0, 0], [-8, 0, 0, -4], [0, 0, 0, 0], [0, -3, -1, 0], [0, 0, 0, 0], [0, 6, 2, 0], [0, 0, 0, 0], [16, 0, 0, -4], [0, 0, 0, 0], [-2, 0, 0, -4], [0, 0, 0, 0], [0, -8, 4, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 1, 0], [0, -1, 2, 0], [-3, 0, 0, -1], [0, -2, 2, 0], [0, 1, 0, 0], [1, 0, 0, 0], [0, 0, -4, 0], [-6, 0, 0, -2], [0, -2, 4, 0], [-2, 0, 0, 4], [0, -7, 0, 0], [-4, 0, 0, -4], [0, 7, 1, 0], [5, 0, 0, -3], [0, 2, -4, 0], [0, -8, 0, 0], [0, 0, 0, 0], [0, 6, 2, 0], [-1, 0, 0, 9], [4, 0, 0, -4], [-2, 0, 0, -10], [0, -2, 10, 0], [-8, 0, 0, -4], [-2, 0, 0, -4], [0, 12, 4, 0], [-2, 0, 0, -10], [0, 6, 0, 0], [0, -9, 4, 0], [-10, 0, 0, 0], [6, 0, 0, 2], [0, -7, -1, 0], [10, 0, 0, -4], [0, -3, 1, 0], [0, 10, 8, 0], [5, 0, 0, -3], [0, 16, -4, 0], [0, -6, -6, 0], [2, 0, 0, -4], [0, 14, 0, 0], [0, 3, 7, 0], [0, 2, -4, 0], [22, 0, 0, -2], [10, 0, 0, -8], [0, 7, 0, 0], [-10, 0, 0, 6], [0, -3, -1, 0], [11, 0, 0, -1], [0, -4, 12, 0], [0, -11, -6, 0], [-15, 0, 0, -2], [15, 0, 0, 5], [4, 0, 0, -12], [0, 2, 8, 0], [17, 0, 0, 4], [12, 0, 0, 4], [0, 0, 0, 0], [-11, 0, 0, 1], [0, 8, 12, 0], [4, 0, 0, 0], [0, -2, 20, 0], [0, 9, -4, 0], [0, -20, 0, 0], [16, 0, 0, -4], [19, 0, 0, 10], [0, -6, -16, 0], [0, -6, 2, 0], [-15, 0, 0, 2], [0, 25, -3, 0], [0, 1, -2, 0], [-18, 0, 0, 4], [-30, 0, 0, 4], [2, 0, 0, -18], [0, -8, 16, 0], [0, 6, -6, 0], [15, 0, 0, -9], [0, -28, 0, 0], [0, -18, 8, 0], [-2, 0, 0, 20], [22, 0, 0, -4], [0, 1, -3, 0], [0, 7, -14, 0], [11, 0, 0, 13], [-15, 0, 0, -18], [4, 0, 0, 20], [0, -15, -5, 0], [-10, 0, 0, -8], [-32, 0, 0, 4], [0, -5, -4, 0], [-6, 0, 0, 12], [0, 2, 0, 0], [-11, 0, 0, 1], [6, 0, 0, -12], [0, -1, -19, 0], [0, -16, 4, 0], [12, 0, 0, 4], [0, 10, 8, 0], [27, 0, 0, -10], [0, 14, -8, 0], [0, -7, 0, 0], [0, -23, 5, 0], [0, -15, -12, 0], [0, 7, -17, 0], [9, 0, 0, -4], [0, 23, -9, 0], [4, 0, 0, 4], [0, 10, 6, 0], [-2, 0, 0, -16], [-4, 0, 0, 8], [-5, 0, 0, -12], [-4, 0, 0, 8], [0, 22, -16, 0], [-4, 0, 0, 32], [0, 32, -4, 0], [25, 0, 0, 13], [-14, 0, 0, 0], [0, 26, 2, 0], [-8, 0, 0, -12], [0, 16, -4, 0], [0, -2, 24, 0], [0, 18, -8, 0], [-7, 0, 0, 20], [0, 18, 20, 0], [0, -6, -2, 0], [0, 12, -16, 0], [0, 14, 0, 0], [0, -18, 8, 0], [14, 0, 0, -14], [34, 0, 0, 2], [0, 39, 6, 0], [0, 4, 8, 0], [-13, 0, 0, -9], [-28, 0, 0, 0], [0, -6, -16, 0], [12, 0, 0, 8], [0, 0, 0, -16], [0, 7, 14, 0], [0, 32, 4, 0], [0, -4, -20, 0], [19, 0, 0, 6], [0, -12, -12, 0], [0, 3, 22, 0], [28, 0, 0, 0], [0, 0, 24, 0], [0, -6, 12, 0], [-22, 0, 0, -12], [0, 9, -18, 0], [34, 0, 0, -8], [0, 6, -16, 0], [11, 0, 0, 13], [0, -9, -10, 0], [21, 0, 0, 8], [0, -5, -15, 0], [-16, 0, 0, 4], [0, 27, -11, 0], [-2, 0, 0, -10], [-40, 0, 0, -4], [-20, 0, 0, -12], [-26, 0, 0, 8], [0, -21, 14, 0], [0, 38, -2, 0], [9, 0, 0, 24], [-25, 0, 0, 1], [0, 33, 7, 0], [-10, 0, 0, 8], [-3, 0, 0, -1], [-20, 0, 0, 12], [0, 42, 0, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 68753032000, 'hecke_ring_character_values': [[703, [1, 0, 0, 0]], [261, [-1, 0, 0, 0]], [769, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 1, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 55082, 'label': '832.2.b.a', 'level': 832, 'maxp': 997, 'weight': 2}