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

Formats: - HTML - YAML - JSON - 2026-05-08T07:29:25.872303

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], [1, 0], [0, 0], [2, 1], [0, 0], [2, -1], [0, 0], [1, 0], [0, 0], [1, -1], [0, 0], [-2, -1], [0, 0], [2, 1], [0, 0], [1, 1], [0, 0], [-4, 1], [0, 0], [2, -1], [0, 0], [4, -1], [0, 0], [5, 4], [0, 0], [1, 0], [0, 0], [-1, 3], [0, 0], [7, 0], [0, 0], [1, -1], [0, 0], [-2, 0], [0, 0], [1, 2], [0, 0], [-2, -1], [0, 0], [-1, 0], [0, 0], [-1, 0], [0, 0], [2, 1], [0, 0], [7, 1], [0, 0], [3, -4], [0, 0], [1, 1], [0, 0], [8, -2], [0, 0], [-4, -1], [0, 0], [-4, 1], [0, 0], [0, -6], [0, 0], [3, -4], [0, 0], [2, -1], [0, 0], [-10, -4], [0, 0], [2, -2], [0, 0], [4, -1], [0, 0], [-3, -3], [0, 0], [1, 0], [0, 0], [5, 4], [0, 0], [8, -3], [0, 0], [10, 0], [0, 0], [1, 0], [0, 0], [-10, -1], [0, 0], [8, 3], [0, 0], [-1, 3], [0, 0], [-6, 4], [0, 0], [2, 0], [0, 0], [7, 0], [0, 0], [-2, -2], [0, 0], [4, 3], [0, 0], [1, -1], [0, 0]], 'ap': [[0, 0], [1, 0], [2, 1], [2, -1], [1, -1], [-2, -1], [1, 1], [-4, 1], [4, -1], [-1, 3], [7, 0], [1, 2], [-1, 0], [-1, 0], [7, 1], [8, -2], [0, -6], [3, -4], [2, -2], [-3, -3], [1, 0], [10, 0], [-10, -1], [-6, 4], [4, 3], [3, 3], [13, 0], [2, 0], [2, 3], [6, 3], [-18, 0], [0, -5], [-1, 1], [10, 4], [10, 0], [0, 8], [-2, -4], [3, -2], [-6, -8], [-10, -1], [1, 3], [-4, 4], [8, 2], [10, 1], [2, -9], [-12, 1], [0, -2], [8, 4], [-21, -1], [12, 1], [6, 0], [-4, 2], [-11, -6], [14, -2], [9, -7], [-5, 5], [8, -2], [-3, 6], [-1, 4], [27, -1], [-5, 2], [-7, 3], [-5, 8], [16, -6], [-2, 3], [-3, -5], [28, 1], [-9, -4], [-21, -3], [-7, 2], [6, -4], [24, 3], [-7, -4], [1, 10], [-2, -12], [21, -7], [6, 5], [18, 7], [12, 0], [-5, 2], [4, -5], [-8, -12], [-20, 7], [1, 10], [-34, 0], [24, 0], [-20, -6], [4, -8], [-6, 12], [-6, -7], [-6, 8], [-17, -5], [-29, 4], [14, 1], [-4, 10], [-3, -7], [23, -5], [15, 1], [-18, 8], [-2, -12], [-8, 2], [-11, -9], [-39, -3], [-24, 1], [-12, 0], [12, 10], [9, 1], [3, 9], [-4, -13], [30, -2], [-10, 2], [4, -16], [-30, 3], [-7, -8], [-17, -2], [-21, 7], [-28, 2], [-12, 9], [-27, -7], [24, 2], [-16, -6], [-14, -10], [-22, 7], [-22, 8], [6, 15], [-22, 2], [-42, -2], [-13, -9], [-12, 7], [37, 6], [-35, 4], [14, 4], [22, 0], [-4, -5], [-28, 10], [-33, -2], [7, 9], [23, 4], [6, 10], [2, 2], [-1, -20], [-16, 1], [-6, 6], [19, -7], [-13, 8], [36, -2], [-12, 0], [0, -2], [-33, -4], [-30, 1], [33, -2], [-12, 0], [0, -15], [21, -3], [22, -4], [-16, -11], [14, -5], [15, 7], [-28, 0], [-34, -4], [-10, -4], [8, 9], [34, 0], [37, 1], [1, 9], [18, -7], [-4, -22], [-14, -3], [-49, -4], [18, 10], [18, 8], [16, 2], [2, 8], [-21, -4], [20, -4], [-45, -1], [-28, 15], [30, -10], [4, 1], [6, -8], [-23, 10], [30, -8], [8, -4], [14, -12], [2, -12], [30, -5], [-4, 0], [-42, -4], [18, -5], [11, -3], [-39, -2], [0, 22], [-14, 2], [-6, -10], [0, -3], [28, -8], [-10, 22], [-42, -7], [-46, 4], [15, -15], [-8, 0], [-1, 6], [32, 5], [14, -16], [-21, -1], [-9, -3], [2, -6], [23, -1], [-24, 15], [9, -4], [-38, 3], [-1, -1], [10, -18], [-44, -2], [21, 19], [35, 6], [-30, -3], [12, -21], [-9, -21], [-58, 6], [-4, 3], [25, -4], [-23, -7], [-4, 7], [30, 11], [-8, 7], [-10, 4], [14, -7], [0, 22], [36, 1], [2, 12], [-26, -7], [-9, 20], [36, -1], [-16, -13], [30, 12], [2, 9], [10, 2], [0, 24], [-39, 9], [24, -2], [-28, 4], [38, -6], [-19, 10], [-24, -8], [14, -1], [38, 10], [-35, 15], [-11, -6], [-34, -10], [7, 14], [-20, -17], [30, 2], [15, -12], [18, -14], [42, 4], [4, -21], [-8, -21], [-27, -3], [-16, 9], [-25, 20], [-9, 19], [-10, -18], [8, -2], [-10, -5], [25, -20], [9, -17], [-30, 2], [6, 0], [9, 15], [24, 0], [1, 16], [35, -6], [41, -6], [-6, -24], [48, -12], [39, -11], [-40, -14], [-20, -1], [27, 5], [45, -1], [-38, -15], [-26, -12], [4, 14], [48, 14], [-7, 31], [40, -9], [14, -2], [42, 7], [27, -13], [27, 19], [-6, -12], [-39, -5], [0, 5], [-16, -25], [-9, -7], [-4, -10], [10, -6], [-28, -16], [-6, 7], [-48, -2], [2, 8], [-31, 20], [-27, 3], [29, 14], [22, 0], [0, 17], [-39, 12], [-42, 0], [-12, 17], [3, 19], [38, 10], [-48, 2], [-29, 18], [-42, -1], [20, -20], [38, -4], [-12, -1], [26, -14], [-3, 3], [26, -10], [64, -6], [26, 3], [30, -5], [20, -3], [-10, 12], [-58, 3], [-2, 27], [-55, -7], [-18, 2], [-28, 18], [54, -12], [40, -8], [0, 14], [43, 8], [-41, 13], [-46, -5], [46, 15], [-10, -9], [-13, 30], [-24, 28], [-44, 16], [88, -2], [-2, -10], [-8, 32], [0, -20], [-60, 10], [-5, 36], [-28, 8], [-8, 10], [26, 9], [-23, 2], [33, 1], [-25, -24], [-8, -2], [4, 26], [54, 11], [-80, 4], [-30, 15], [48, -17], [-35, 22], [6, 12], [15, 27], [-32, 2], [26, -14], [-30, 17], [2, -26], [3, -4], [19, -16], [-16, 0], [-32, 20], [-32, -22], [-33, 23], [-10, 16], [12, 21], [36, 7], [-46, -21], [-32, -18], [-13, -17], [-36, -3], [-51, 5], [-84, 3], [3, -8], [-16, -8], [-38, -6], [-14, 4], [10, 13], [-24, -6], [53, 10], [28, 0], [18, -10], [35, 9], [-48, 10], [4, -16], [40, -8], [-8, -12], [-52, -9], [38, -2], [53, -6], [18, -18], [-43, 2], [-70, 10], [-13, 26], [38, -14], [-72, 11], [-16, -23], [11, 12], [3, 5], [8, 15], [8, 7], [5, -14], [48, -20], [36, 6], [12, -2], [44, -17], [-40, -9], [18, 17], [-48, 3], [-17, 25], [18, 8], [-60, -7], [-10, 32], [-26, 11], [-13, 5], [-29, 0], [-16, -13], [-45, 9], [-43, -25], [52, 5], [-41, 9]], 'char_orbit_index': 1, 'field_poly': [-6, 0, 1], 'hecke_orbit_code': 189151184383123136, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 183746, 'label': '7872.2.a.bq', 'level': 7872, 'maxp': 2999, 'weight': 2}