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

Formats: - HTML - YAML - JSON - 2026-06-14T14:30:19.997143

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], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [2, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, -1, -1, 1], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [-3, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, 1, 0], [0, 0, 0, 0], [0, 2, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, -2, 0], [0, 0, 0, 0], [4, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, -2], [0, 0, 0, 0], [3, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, -2], [0, 0, 0, 0], [0, 1, -5, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 2, 0], [0, 0, 0, 0], [-8, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, -5, 0], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, -2], [0, 0, 0, 0], [0, 5, -1, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -3], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -8, 0, 0], [0, 0, 0, 0], [0, -6, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, -1, 0], [0, 1, 0, 0], [2, 0, 0, -1], [-1, -1, -1, 1], [0, 0, 0, -2], [0, 0, 1, 0], [0, 3, 1, 0], [0, 2, -3, 0], [0, -1, 1, 0], [0, -2, -2, 0], [4, 0, 0, -2], [4, 0, 0, -2], [2, 0, 0, 0], [-4, 0, 0, -2], [0, 1, -5, 0], [-8, 0, 0, 2], [0, 2, -5, 0], [0, 4, 0, 0], [0, 0, 3, 0], [-4, 0, 0, -2], [-2, 0, 0, -3], [0, -6, -2, 0], [-10, 0, 0, 1], [-8, 0, 0, 0], [0, -1, -6, 0], [0, 3, 1, 0], [0, 0, 4, 0], [16, 0, 0, 0], [0, -5, -6, 0], [6, 0, 0, -1], [0, -1, 0, 0], [2, 0, 0, -4], [8, 0, 0, 4], [-10, 0, 0, 0], [0, -7, -2, 0], [0, -8, 1, 0], [0, 3, -3, 0], [8, 0, 0, -6], [0, -3, 7, 0], [-4, 0, 0, -6], [0, -10, -2, 0], [0, -1, -3, 0], [0, -4, -5, 0], [0, 5, -2, 0], [-12, 0, 0, -6], [0, 3, -2, 0], [2, 0, 0, 7], [0, 0, 0, 0], [20, 0, 0, 2], [0, 2, -10, 0], [0, 0, 0, 2], [-10, 0, 0, 3], [-16, 0, 0, 0], [0, -1, -3, 0], [-20, 0, 0, -2], [0, 1, 11, 0], [-2, 0, 0, -6], [0, -13, -4, 0], [18, 0, 0, 0], [-4, 0, 0, -6], [0, 0, 1, 0], [0, -2, 2, 0], [0, 3, 1, 0], [12, 0, 0, 6], [0, -12, 0, 0], [0, 3, -14, 0], [-10, 0, 0, -4], [6, 0, 0, 2], [20, 0, 0, -2], [0, 2, 5, 0], [18, 0, 0, 3], [0, 11, -8, 0], [0, 0, 0, 4], [6, 0, 0, 9], [0, 1, 7, 0], [0, -2, -6, 0], [-6, 0, 0, -2], [0, -11, 4, 0], [2, 0, 0, 3], [0, -8, -11, 0], [-14, 0, 0, -5], [0, 6, 13, 0], [24, 0, 0, -2], [0, -10, 6, 0], [10, 0, 0, -1], [10, 0, 0, 4], [0, 0, 0, -4], [-8, 0, 0, -10], [0, 4, 1, 0], [0, 10, 1, 0], [-8, 0, 0, -6], [0, -3, 6, 0], [0, 2, 11, 0], [-22, 0, 0, 4], [0, -2, -10, 0], [0, 0, 0, -2], [0, -5, -15, 0], [0, 5, 6, 0], [-10, 0, 0, -7], [-4, 0, 0, 14], [-18, 0, 0, 4], [0, 11, 8, 0], [-22, 0, 0, -3], [0, 0, 0, -2], [-10, 0, 0, -12], [-16, 0, 0, 0], [0, 0, 16, 0], [0, 2, 5, 0], [-18, 0, 0, 4], [0, 4, 12, 0], [0, 5, -2, 0], [-20, 0, 0, -2], [0, -14, -10, 0], [0, 3, -12, 0], [12, 0, 0, 6], [0, 5, -13, 0], [-12, 0, 0, 6], [-18, 0, 0, 0], [0, -6, -6, 0], [0, 17, 7, 0], [0, 13, -8, 0], [0, 7, 12, 0], [30, 0, 0, 5], [0, 13, -5, 0], [0, 10, -1, 0], [-20, 0, 0, 6], [-10, 0, 0, -12], [24, 0, 0, -2], [0, 10, 3, 0], [0, -2, 1, 0], [-6, 0, 0, 15], [22, 0, 0, 7], [18, 0, 0, 5], [-18, 0, 0, 1], [0, -9, -4, 0], [10, 0, 0, -4], [0, -10, 18, 0], [0, -3, -10, 0], [0, 13, 3, 0], [0, 12, -13, 0], [0, -5, 14, 0], [38, 0, 0, 4], [0, 12, 5, 0], [0, 1, -1, 0], [0, -10, 10, 0], [4, 0, 0, 10], [-8, 0, 0, 16], [0, 19, 1, 0], [0, 4, 0, 0], [0, 0, 0, -10], [0, 0, -7, 0], [0, 19, 4, 0], [0, -8, 21, 0], [28, 0, 0, -2], [0, -14, -2, 0], [26, 0, 0, -6], [0, 7, -15, 0], [0, 9, -12, 0], [6, 0, 0, 17], [-12, 0, 0, 6], [-20, 0, 0, -2], [6, 0, 0, 4], [0, -10, 15, 0], [0, 22, 9, 0], [0, -3, 7, 0], [0, -10, -10, 0], [0, 11, -15, 0], [-28, 0, 0, 6], [18, 0, 0, -13], [0, 2, 3, 0], [-30, 0, 0, 3], [-8, 0, 0, 8], [0, 0, 4, 0], [0, -3, 14, 0], [0, 3, 9, 0], [28, 0, 0, -2], [-22, 0, 0, 11], [0, 0, 0, 4], [0, -3, 0, 0], [0, -13, 25, 0], [-10, 0, 0, 8], [24, 0, 0, -4], [14, 0, 0, -3], [0, -5, 5, 0], [20, 0, 0, 14], [0, -10, 10, 0], [0, -2, 3, 0], [0, -8, 20, 0], [0, 17, 12, 0], [0, 0, 0, 2], [22, 0, 0, 5], [0, -13, -2, 0], [0, -4, 12, 0], [0, -4, 4, 0], [0, -15, -17, 0], [0, -12, -8, 0], [-8, 0, 0, -12], [0, -23, -5, 0], [0, 20, 15, 0], [-18, 0, 0, 4], [-6, 0, 0, -11], [-12, 0, 0, 14], [-10, 0, 0, -3], [-48, 0, 0, 0], [24, 0, 0, 2], [0, -20, 16, 0], [-20, 0, 0, 2], [0, 18, -2, 0], [-2, 0, 0, -3], [0, 14, -3, 0], [16, 0, 0, 2], [0, 14, 7, 0], [0, -2, 18, 0], [40, 0, 0, 4], [14, 0, 0, -16], [0, 6, -17, 0], [-34, 0, 0, -7], [-2, 0, 0, -12], [0, 16, -17, 0], [-18, 0, 0, -6], [0, -8, -13, 0], [-48, 0, 0, -2], [-14, 0, 0, -1], [0, -4, -24, 0], [0, 26, 7, 0], [16, 0, 0, 8], [0, -7, 4, 0], [6, 0, 0, -8], [0, -13, 12, 0], [20, 0, 0, -14], [14, 0, 0, -3], [-48, 0, 0, -2], [20, 0, 0, 6], [0, -14, 10, 0], [0, 1, -17, 0], [0, 27, 14, 0], [4, 0, 0, 10], [0, -7, 0, 0], [52, 0, 0, 6], [4, 0, 0, -6], [-54, 0, 0, 7], [0, 20, 0, 0], [0, -12, 5, 0], [0, -18, -15, 0], [0, 29, 12, 0], [-36, 0, 0, 2], [-44, 0, 0, -2], [-42, 0, 0, -8], [0, 4, -12, 0], [16, 0, 0, -8], [0, 20, 0, 0], [-2, 0, 0, 17], [-8, 0, 0, 10], [0, -27, -1, 0], [0, 15, -4, 0], [0, -23, 15, 0], [-6, 0, 0, 9], [0, 0, 19, 0], [36, 0, 0, -6], [0, -1, 17, 0], [0, -17, -23, 0], [0, 18, 14, 0], [-8, 0, 0, 2], [26, 0, 0, -8], [-10, 0, 0, -10], [0, -19, 30, 0], [-14, 0, 0, -16], [0, 7, -23, 0], [-12, 0, 0, -10], [2, 0, 0, 20], [12, 0, 0, -2], [-46, 0, 0, 2], [4, 0, 0, 2], [-44, 0, 0, -10], [10, 0, 0, -5], [2, 0, 0, 27], [28, 0, 0, 6], [4, 0, 0, -6], [0, -24, 15, 0], [0, -2, -17, 0], [14, 0, 0, 16], [0, 1, -26, 0], [-48, 0, 0, -4], [0, 18, -14, 0], [0, -1, -23, 0], [24, 0, 0, 12], [22, 0, 0, 1], [0, -1, 5, 0], [0, -11, -4, 0], [-18, 0, 0, 7], [0, -11, -12, 0], [0, -13, -7, 0], [0, -19, -9, 0], [56, 0, 0, 4], [-18, 0, 0, -7], [0, -9, -26, 0], [-20, 0, 0, 6], [-22, 0, 0, 7], [62, 0, 0, 1], [0, -2, -7, 0], [0, 15, -30, 0], [0, 3, -32, 0], [0, -22, -22, 0], [-12, 0, 0, -18], [0, 5, -21, 0], [-56, 0, 0, 8], [-34, 0, 0, -4], [0, -32, -11, 0], [0, -21, -3, 0], [0, -6, 10, 0], [32, 0, 0, 10], [16, 0, 0, 0], [-38, 0, 0, 10], [16, 0, 0, 22], [0, 12, -15, 0], [0, -8, -8, 0], [14, 0, 0, 6], [0, 1, -2, 0], [0, -2, 22, 0], [-6, 0, 0, 20], [56, 0, 0, -8], [0, 2, -6, 0], [10, 0, 0, -4], [0, -17, 12, 0], [0, 19, 12, 0], [0, -30, -17, 0], [0, -3, -21, 0], [0, 7, -15, 0], [0, -37, -19, 0], [0, 22, 1, 0], [-36, 0, 0, -10], [0, -5, -16, 0], [0, -29, 6, 0], [-10, 0, 0, 4], [0, -16, 28, 0], [0, 28, -4, 0], [36, 0, 0, -6], [14, 0, 0, -8], [38, 0, 0, 16], [0, 1, -1, 0], [-72, 0, 0, 8], [30, 0, 0, -15], [0, 17, 0, 0], [0, 35, 9, 0], [48, 0, 0, 2], [0, 22, 3, 0], [0, 19, -23, 0], [-4, 0, 0, -14], [0, -30, 2, 0], [-70, 0, 0, -4], [0, -16, 11, 0], [50, 0, 0, -9], [30, 0, 0, -17], [-60, 0, 0, -6], [0, 3, 26, 0], [0, 22, 14, 0], [-24, 0, 0, 12], [0, 29, 11, 0], [0, -16, -8, 0], [-12, 0, 0, -14], [0, 9, -20, 0], [32, 0, 0, -14], [18, 0, 0, 22], [0, 3, 1, 0], [-4, 0, 0, -14], [0, -6, -2, 0], [4, 0, 0, 6], [0, 7, -24, 0], [0, 24, -3, 0], [-34, 0, 0, -7], [84, 0, 0, -2], [0, -1, -27, 0], [0, -21, 30, 0], [0, -12, 33, 0], [10, 0, 0, -27], [22, 0, 0, -10], [74, 0, 0, 0], [0, -13, 17, 0], [-10, 0, 0, 26], [0, -20, -21, 0], [0, -24, 0, 0], [0, -1, 0, 0], [0, -2, -25, 0], [8, 0, 0, -24], [2, 0, 0, 3], [0, 1, -14, 0], [40, 0, 0, -4], [0, 16, 4, 0], [0, 19, -7, 0], [36, 0, 0, 2], [-44, 0, 0, -14], [64, 0, 0, 4], [0, 26, 26, 0], [-36, 0, 0, 10], [-42, 0, 0, 2], [0, 1, -10, 0], [-26, 0, 0, -7], [0, 15, 17, 0], [14, 0, 0, 11], [-32, 0, 0, -20], [0, -22, -6, 0], [-14, 0, 0, 20], [0, -18, -19, 0], [18, 0, 0, -13], [-34, 0, 0, 3], [28, 0, 0, -14], [0, 23, 18, 0], [0, 12, 8, 0], [62, 0, 0, 5], [-20, 0, 0, 2], [0, 25, -22, 0], [-6, 0, 0, 2], [0, 25, -9, 0], [0, 34, 7, 0], [0, -18, 13, 0], [0, -2, -10, 0], [-44, 0, 0, -2], [-38, 0, 0, -12], [0, 23, 9, 0], [0, 2, -33, 0], [24, 0, 0, -18], [0, -14, 46, 0], [58, 0, 0, -12], [0, -11, 0, 0], [0, -36, -8, 0], [0, 0, 0, 10], [0, 0, 25, 0]], 'char_orbit_index': 3, 'field_poly': [2, 0, 4, 0, 1], 'hecke_orbit_code': 54043333000958752, 'hecke_ring_character_values': [[2143, [1, 0, 0, 0]], [613, [1, 0, 0, 0]], [3809, [1, 0, 0, 0]], [4321, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-4, 0, 0, 1], [0, 2, -1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 1], [0, 4, 0, 1], [4, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 149435, 'label': '4896.2.c.m', 'level': 4896, 'maxp': 2999, 'weight': 2}