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

Formats: - HTML - YAML - JSON - 2026-09-21T04:50:40.522323

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], [-2, 1], [0, 0], [2, 1], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [2, -4], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [-4, 2], [0, 0], [1, -4], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [6, -1], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [-4, -4], [0, 0], [0, 0], [0, 0], [6, 4], [0, 0], [-4, 4], [0, 0], [0, 0], [0, 0], [-4, -6], [0, 0], [-1, 4], [0, 0], [0, 0], [0, 0], [-2, -7], [0, 0], [4, -2], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [-4, -4], [0, 0], [0, 0], [0, 0], [4, -4], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [-12, 2], [0, 0], [4, -4], [0, 0], [0, 0], [0, 0], [-4, -2], [0, 0], [10, -3], [0, 0], [0, 0], [0, 0], [2, -8], [0, 0], [-12, 10], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [4, 4], [0, 0], [0, 0], [0, 0], [-8, 8], [0, 0], [2, 8], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [-2, 1], [2, 1], [-2, 0], [0, 2], [2, -4], [0, -4], [-4, 2], [-2, 1], [6, -1], [-4, -4], [6, 4], [-4, 4], [-4, -6], [-2, -7], [4, 0], [-4, -4], [-8, 0], [-12, 2], [4, -4], [10, -3], [2, -8], [-2, 0], [2, 8], [2, 11], [2, 5], [4, 8], [-16, 2], [-6, 0], [-6, 9], [4, 0], [-10, 4], [8, 8], [-10, -3], [6, -1], [-20, 0], [12, -4], [16, 4], [-6, -9], [4, 0], [0, 6], [0, 12], [-16, -4], [-10, 5], [2, -11], [-8, -8], [-2, 7], [-18, -8], [-8, -6], [2, -8], [0, -12], [-12, -4], [22, 0], [-10, 8], [8, 4], [2, 3], [-18, -1], [-16, 6], [2, 0], [4, 8], [-18, -7], [-16, 0], [0, -8], [0, 12], [2, -5], [0, 0], [4, 12], [-14, -8], [-12, 8], [2, 8], [-4, 14], [-10, -9], [4, -20], [-24, 4], [8, 8], [18, 3], [-4, 0], [26, 4], [-10, 8], [-10, 8], [8, 10], [-4, -22], [6, -16], [-6, -7], [-6, 24], [2, 4], [-6, -8], [18, -5], [18, -11], [-2, 8], [-4, 6], [10, -11], [12, -8], [12, 8], [-4, 6], [-2, -15], [-6, 12], [32, -4], [-8, 2], [12, 12], [6, 5], [6, 16], [-2, -12], [-20, 0], [0, 20], [20, -8], [2, 0], [-20, -6], [0, 4], [-6, -7], [12, 16], [10, 24], [4, 0], [26, 5], [-26, -12], [-4, 20], [20, -2], [-22, -1], [28, -8], [28, -8], [14, 16], [14, -15], [14, 8], [-12, -4], [-6, -1], [0, 22], [-28, 2], [-18, 3], [32, 6], [12, 16], [-40, 0], [18, 9], [24, -6], [-30, 4], [-8, -4], [-6, -9], [16, -4], [-34, 1], [22, 12], [-24, -4], [18, 19], [18, -15], [-4, -24], [-16, 26], [-20, 6], [12, -16], [-2, 28], [28, -12], [-32, -12], [-12, 8], [-34, 8], [36, 4], [24, -4], [12, -28], [-40, -8], [18, 25], [10, 28], [14, -16], [2, -13], [12, -16], [-14, 12], [6, 3], [-18, 8], [2, -20], [-24, -20], [2, -7], [-4, -12], [-34, 8], [-38, -9], [28, 24], [36, -12], [0, 28], [-26, 0], [10, 5], [18, -16], [-20, -8], [54, 5], [-6, -15], [20, -24], [-54, -3], [26, -8], [-8, 6], [-54, 0], [-8, 16], [26, -25], [8, -30], [28, 24], [28, 12], [8, -12], [-2, -16], [12, 0], [4, -8], [34, 11], [20, -16], [26, -8], [32, -12], [-16, -10], [18, -16], [8, 4], [-34, 17], [10, 9], [8, 30], [-20, -4], [-30, 0], [-26, 5], [6, 3], [-18, 16], [-14, -16], [36, 12], [8, -4], [14, -15], [10, -15], [12, 32], [-20, 6], [18, 16], [-34, 27], [14, 28], [-8, 32], [-34, 25], [24, 14], [-2, -33], [-10, 28], [6, -45], [-6, 40], [52, 12], [-10, -24], [4, -14], [-66, -1], [20, 24], [24, 14], [4, -4], [18, -27], [-46, 0], [4, -4], [20, 10], [2, -40], [6, 21], [-26, -24], [4, -18], [-26, 0], [-8, 40], [46, 11], [-36, -16], [34, 24], [4, 2], [-22, -27], [36, 8], [24, -24], [-16, 16], [-48, 10], [-30, 16], [20, -34], [10, 32], [22, -11], [-28, 8], [32, 10], [-28, 8], [-2, -7], [-42, 0], [2, -19], [-44, 0], [-8, -42], [12, -24], [22, 4], [-24, -24], [-2, 1], [-14, -32], [56, 12], [6, 13], [12, 4], [-20, 40], [-6, -16], [-10, -9], [-18, -16], [-2, 47], [10, 0], [-4, 24], [-8, 20], [-20, -24], [-44, -22], [58, 1], [20, 30], [-20, 8], [-56, -4], [40, 4], [-28, 12], [-42, -19], [66, -7], [-30, 24], [10, -9], [-20, -32], [-18, -8], [-36, 0], [-28, 24], [-62, -5], [-2, 15], [2, 27], [-54, 16], [0, 12], [-40, 28], [-14, 11], [42, -3], [4, 32], [-28, 36], [-4, 28], [-74, 0], [-8, -30], [-28, -22], [-36, 24], [8, 48], [-30, -21], [22, -12], [-16, -12], [-64, 0], [-10, 32], [44, -24], [-36, -18], [-44, 12], [-2, -32], [4, -56], [72, -4], [62, -15], [6, 7], [14, 28], [-34, 8], [80, 4], [-12, 20], [40, -12], [10, -25], [0, 10], [-2, -15], [-2, -33], [-44, -24], [0, 24], [10, 32], [12, 24], [-18, -8], [36, -20], [-2, -33], [20, -12], [18, 36], [-58, -19], [62, 23], [-50, -7], [-2, 16], [-24, 6], [56, 8], [4, 10], [14, -7], [16, -36], [-26, -24], [-26, -27], [6, 43], [-28, -20], [54, -8], [0, -28], [44, 8], [-34, -28], [-88, 4], [4, 32], [-2, -16], [-24, 16], [26, -16], [-76, 8], [40, -12], [-6, 15], [-38, -11], [-14, -48], [18, -16], [40, 4], [-8, -20], [14, 33], [-2, -5], [-16, -18], [6, -48], [-16, -12], [10, 0], [38, 36], [36, -20], [26, 23], [-14, -12], [22, 39], [-18, -32], [-20, 36], [0, 28], [-30, 1], [-72, 2], [-40, 24], [-4, -6], [-2, -16], [42, -1], [68, -16], [40, 12], [-8, 16], [58, -8], [34, -11], [34, -44], [24, 44], [-38, 23], [-4, 16], [30, 4], [-34, -17], [62, -12], [42, -25], [46, -29], [-40, -2], [2, -28], [16, -36], [6, -48], [48, 4], [-10, 45], [30, 16], [-60, -28], [28, -4], [-6, 39], [32, -44], [-6, 5], [10, -4], [12, 14], [-10, -43], [-60, -12], [-16, -56], [-34, -24], [40, 44], [-70, -1], [14, -24], [-50, 16], [12, 44], [4, -58]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 18014398543041024, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 145952, 'label': '4608.2.a.e', 'level': 4608, 'maxp': 2999, 'weight': 2}