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

Formats: - HTML - YAML - JSON - 2026-05-25T08:13:39.809840

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, 1], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [0, 2], [0, 0], [2, 1], [0, 0], [0, -2], [0, 0], [-2, 2], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [4, -1], [0, 0], [2, -1], [0, 0], [4, 1], [0, 0], [8, 2], [0, 0], [0, 0], [0, 0], [-2, 4], [0, 0], [4, 3], [0, 0], [-2, 5], [0, 0], [-8, 0], [0, 0], [-2, -2], [0, 0], [-4, -3], [0, 0], [-7, 0], [0, 0], [8, 0], [0, 0], [-2, 0], [0, 0], [0, -4], [0, 0], [8, 2], [0, 0], [-4, 4], [0, 0], [-2, -4], [0, 0], [0, 0], [0, 0], [-4, -2], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [-12, 1], [0, 0], [-10, 3], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [-7, 0], [0, 0], [8, -4], [0, 0], [4, -4], [0, 0], [-4, 1], [0, 0], [-2, 6], [0, 0], [0, 0], [0, 0], [4, 5], [0, 0], [0, -4], [0, 0], [-2, 6], [0, 0], [8, 4], [0, 0]], 'ap': [[0, 0], [0, 1], [-2, 0], [0, 0], [0, 2], [2, 1], [-2, 2], [0, 2], [0, 0], [2, -1], [4, 1], [-2, 4], [-2, 5], [-8, 0], [-4, -3], [-2, 0], [-4, 4], [-2, -4], [0, -2], [-12, 1], [-10, 3], [0, -2], [8, -4], [-2, 6], [-2, 6], [6, -4], [-8, 4], [8, -2], [-10, 2], [6, 2], [4, 3], [-8, -3], [-10, -2], [8, 3], [14, -4], [12, 1], [-18, 2], [-8, 7], [16, 0], [-10, 0], [8, 3], [-10, -4], [16, -6], [-2, -1], [-6, 7], [8, -2], [4, 0], [16, -8], [0, 4], [-18, -2], [-2, 9], [-12, 9], [6, 8], [0, 4], [-10, -3], [-16, 2], [18, 3], [-24, 0], [10, -5], [-2, 2], [0, -2], [6, -6], [12, -4], [-4, 1], [6, -6], [-10, -4], [-8, 15], [6, -10], [4, -8], [-30, 3], [14, -1], [-8, 10], [-8, 4], [-2, -8], [0, 8], [16, 4], [14, -6], [18, 1], [22, -4], [6, -13], [8, -8], [22, 2], [-8, -8], [6, -12], [12, -9], [24, -7], [2, -4], [-10, 6], [2, -5], [8, -8], [0, -6], [0, 4], [-20, 3], [0, -5], [0, 9], [-8, 6], [18, -13], [6, -10], [16, -4], [18, 7], [0, -17], [6, -2], [16, -4], [-2, 4], [-32, 8], [-2, 7], [0, 9], [-14, -12], [-8, 0], [-26, -5], [-16, 12], [-18, 18], [6, -16], [8, 8], [24, -12], [-2, 6], [-8, -6], [-4, 13], [2, 9], [-8, 4], [-10, 4], [-26, 9], [-2, 16], [-24, 3], [20, -16], [6, -14], [22, 6], [16, -8], [-24, -6], [-34, -6], [-8, 3], [24, 4], [0, 16], [22, -8], [-26, 3], [6, 0], [-18, 6], [-16, -4], [-2, -4], [26, 0], [-16, -7], [6, -12], [-52, 1], [-16, 8], [-10, -4], [40, 4], [6, -16], [14, 1], [-40, 9], [-20, 11], [-10, 16], [-10, 2], [4, -16], [-12, -3], [48, -2], [-32, -2], [48, -4], [22, 5], [-26, 4], [-34, -2], [0, 1], [-34, -4], [-12, -9], [16, 6], [6, 20], [-24, 18], [32, -16], [14, 0], [-26, 16], [-6, 1], [-24, -6], [2, -13], [8, -12], [14, 2], [20, 15], [-18, -2], [16, -5], [26, -7], [-16, 6], [-2, 14], [-4, -13], [-24, -4], [26, 11], [-22, 16], [0, -18], [14, 2], [14, 16], [-56, -2], [-26, -5], [-8, 24], [6, -15], [-36, 16], [-24, 14], [-18, 20], [-32, 22], [30, -2], [-18, 12], [-2, -6], [-26, -14], [-28, 19], [22, -2], [40, 8], [26, -9], [14, -12], [56, 4], [-14, -1], [-16, 6], [8, 13], [30, -3], [16, -9], [22, -23], [-22, 13], [24, -24], [-16, -2], [0, 16], [-58, 2], [4, 9], [30, -21], [-16, 30], [-46, 5], [-6, -19], [32, -10], [14, -5], [-16, 32], [16, -19], [-54, 5], [6, -16], [-60, 3], [-32, -10], [20, 8], [22, -20], [-32, 16], [40, 2], [-6, -16], [8, 20], [-40, 4], [-2, -22], [38, 0], [32, -3], [28, -17], [16, 24], [40, -11], [-4, 17], [-30, 29], [-30, 20], [-4, -7], [28, -3], [32, 14], [0, 30], [8, 2], [-26, 2], [-18, 0], [32, -6], [-50, -2], [14, 4], [56, -5], [-26, 20], [40, 10], [-6, 11], [-10, -1], [-64, -4], [-40, -4], [-50, -4], [-26, -6], [-46, 4], [24, -14], [-18, 4], [-66, 6], [-16, -14], [-22, 15], [18, -21], [8, 2], [-34, -14], [-32, 16], [-2, -17], [4, -11], [-52, 16], [-2, 12], [6, 4], [32, -24], [28, -25], [-16, 18], [40, -10], [-26, -12], [36, 4], [32, -24], [-10, 16], [-58, -4], [-32, -8], [34, 12], [-58, 16], [24, -8], [-22, 8], [16, 10], [18, -1], [6, 24], [40, 8], [26, -15], [0, 7], [32, -21], [-42, 22], [-50, 8], [-72, 8], [-16, -1], [32, -20], [6, 5], [4, 16], [6, 6], [-64, -6], [-42, -4], [4, 17], [-34, -12], [46, -26], [32, -1], [8, -30], [30, -14], [-56, 3], [-52, -7], [6, -6], [6, 29], [0, -24], [6, 6], [50, -7], [48, -8], [-34, 24], [14, -14], [40, -14], [40, -1], [-8, 6], [-50, 14], [34, -29], [2, 21], [-44, -1], [16, -25], [0, -14], [-32, 7], [70, 4], [-10, -6], [-18, -11], [-16, -12], [-54, -3], [22, -22], [22, 16], [-8, -14], [-18, -24], [-52, 16], [26, 9], [-44, 8], [64, -14], [30, 20], [0, -27], [-58, -5], [38, 8], [-32, 30], [-18, -18], [-70, 16], [64, 0], [-8, 22], [-34, -13], [48, -4], [-58, 24], [22, -37], [-12, 3], [16, 14], [-32, 7], [-26, 15], [18, -3], [24, -14], [-82, 8], [-8, -17], [4, 8], [-4, 25], [-18, 2], [-40, 8], [18, 25], [-16, 15], [-48, 2], [46, -4], [46, 6], [62, -3], [14, 4], [14, -4], [0, -20], [22, -3], [40, 8], [4, 15], [-60, -1], [-2, 8], [-8, 2], [24, -28], [-42, -22], [14, -8], [0, -19], [36, -8], [-16, -20], [-18, 24], [-16, 12], [-42, 10], [-8, -8], [-10, -32], [-62, 17], [-34, 3], [-24, -28], [22, 2], [74, 5], [12, 5], [46, -20], [-50, 3], [-48, -16], [-20, -8], [38, -27], [10, 25], [-40, 22], [-16, -14], [6, -24], [50, -1], [-8, -32], [8, -4], [30, 18], [-48, 4], [38, 6], [54, 2], [32, 0], [12, 0], [-42, 3], [-14, 21], [-56, -18], [74, -4], [32, 17], [4, -3]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 130604389227307280, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 190389, 'label': '8464.2.a.bd', 'level': 8464, 'maxp': 2999, 'weight': 2}