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

Formats: - HTML - YAML - JSON - 2026-07-29T04:21:32.686843

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], [0, 0, 0, 0], [3, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 2, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [2, 0, 2, 0], [0, -1, 0, 0], [0, 0, 0, 0], [6, 0, 3, 0], [0, 2, 0, 0], [0, 0, 0, 0], [2, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, -3, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, 2], [0, 0, 0, 0], [-3, 0, -1, 0], [0, -2, 0, 1], [0, 0, 0, 0], [6, 0, 0, 0], [0, 5, 0, 1], [0, 0, 0, 0], [10, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [-5, 0, -2, 0], [0, -5, 0, -1], [0, 0, 0, 0], [-2, 0, -3, 0], [0, -2, 0, -2], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [20, 0, 6, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, -1], [0, 0, 0, 0], [-8, 0, 1, 0], [0, -2, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [15, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, -2, 0], [0, 8, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, 1], [0, 0, 0, 0], [0, 0, 2, 0], [0, 3, 0, 0], [0, 0, 0, 0], [-8, 0, -2, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-1, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [20, 0, 4, 0], [0, -4, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, -7, 0, -2], [0, 0, 0, 0], [-23, 0, -2, 0], [0, -2, 0, 2], [0, 0, 0, 0], [-2, 0, -2, 0], [0, -5, 0, -1], [0, 0, 0, 0], [-14, 0, -8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, -4, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, -1], [2, 0, 2, 0], [0, 2, 0, 0], [2, 0, -2, 0], [0, 0, 0, -1], [0, -2, 0, 1], [6, 0, 0, 0], [3, 0, 0, 0], [0, 4, 0, 0], [-5, 0, -2, 0], [0, -2, 0, -2], [0, -4, 0, 0], [0, -2, 0, -2], [0, 0, 0, 0], [-5, 0, -2, 0], [0, 4, 0, 1], [0, 0, 2, 0], [-1, 0, -2, 0], [0, -4, 0, 2], [0, -2, 0, 2], [-2, 0, -4, 0], [0, -2, 0, 0], [10, 0, -2, 0], [0, -4, 0, 2], [7, 0, 0, 0], [0, 2, 0, -1], [-9, 0, 2, 0], [0, -2, 0, 0], [0, -4, 0, 0], [0, 0, -2, 0], [0, -6, 0, 1], [7, 0, 2, 0], [8, 0, 4, 0], [8, 0, 4, 0], [0, 2, 0, -2], [0, -6, 0, -2], [0, 4, 0, -2], [16, 0, 2, 0], [0, 0, 0, 2], [1, 0, 0, 0], [0, -10, 0, 1], [-8, 0, 4, 0], [0, 0, 0, 0], [8, 0, -2, 0], [0, 2, 0, 2], [2, 0, -8, 0], [0, -2, 0, 3], [0, 0, 0, 2], [14, 0, 2, 0], [0, 6, 0, -4], [0, 4, 0, 2], [0, 4, 0, 3], [0, -4, 0, 2], [2, 0, 6, 0], [6, 0, 8, 0], [0, -2, 0, -3], [14, 0, 0, 0], [0, -2, 0, -2], [0, 0, 6, 0], [0, -10, 0, 0], [-2, 0, -10, 0], [0, 2, 0, 1], [-3, 0, 6, 0], [-2, 0, -4, 0], [0, 8, 0, 1], [-2, 0, 2, 0], [0, -4, 0, -2], [0, -8, 0, 1], [-4, 0, 0, 0], [-25, 0, 0, 0], [-7, 0, -2, 0], [0, 6, 0, -2], [0, 2, 0, -5], [-10, 0, 4, 0], [0, -6, 0, 1], [18, 0, 2, 0], [0, 4, 0, 2], [-1, 0, 12, 0], [0, 12, 0, -2], [8, 0, -8, 0], [6, 0, 6, 0], [0, 0, 0, -6], [0, -6, 0, 1], [-11, 0, -8, 0], [0, -2, 0, 2], [0, 0, -4, 0], [0, 0, 0, 2], [0, 10, 0, 2], [-9, 0, -2, 0], [0, 12, 0, 1], [12, 0, 8, 0], [0, 8, 0, 6], [0, 6, 0, -2], [0, -16, 0, 2], [28, 0, -4, 0], [3, 0, -8, 0], [-17, 0, 2, 0], [0, -2, 0, -1], [0, 4, 0, -2], [0, 6, 0, 5], [31, 0, 2, 0], [-34, 0, -6, 0], [0, -10, 0, 4], [0, 8, 0, 4], [0, 4, 0, 5], [24, 0, 8, 0], [-10, 0, -6, 0], [-23, 0, 0, 0], [0, -2, 0, 5], [-14, 0, -6, 0], [-1, 0, -2, 0], [0, -2, 0, -5], [24, 0, -8, 0], [0, 12, 0, 2], [0, -4, 0, 0], [0, 20, 0, -2], [10, 0, 10, 0], [-14, 0, 8, 0], [0, 0, 0, -2], [0, 0, 0, -3], [-24, 0, 4, 0], [0, 12, 0, 4], [22, 0, 8, 0], [0, 12, 0, -4], [28, 0, 2, 0], [-28, 0, 0, 0], [-39, 0, -2, 0], [0, 8, 0, -2], [-20, 0, -4, 0], [15, 0, -12, 0], [0, 0, 0, 4], [36, 0, 4, 0], [0, -8, 0, 2], [4, 0, -2, 0], [0, 2, 0, 8], [0, 10, 0, 3], [22, 0, 4, 0], [0, -8, 0, -8], [3, 0, 10, 0], [0, -4, 0, -1], [-4, 0, -2, 0], [0, -10, 0, 4], [4, 0, 12, 0], [0, 4, 0, 8], [-10, 0, -8, 0], [0, -4, 0, 3], [2, 0, 8, 0], [0, 8, 0, 6], [13, 0, -2, 0], [0, 4, 0, 0], [4, 0, -12, 0], [0, -8, 0, 5], [-19, 0, -14, 0], [0, 6, 0, 0], [28, 0, -4, 0], [0, -16, 0, -2], [0, -4, 0, -10], [0, 6, 0, -5], [-20, 0, -8, 0], [0, 6, 0, -6], [0, -2, 0, -9], [0, -16, 0, 2], [9, 0, 14, 0], [38, 0, -6, 0], [27, 0, 4, 0], [0, -2, 0, 4], [0, 0, 0, 7], [-2, 0, -2, 0], [0, 16, 0, -3], [18, 0, 0, 0], [4, 0, 2, 0], [0, -26, 0, 4], [-45, 0, 2, 0], [0, -4, 0, 8], [-22, 0, 6, 0], [10, 0, 4, 0], [-15, 0, -18, 0], [0, 4, 0, 0], [-27, 0, -8, 0], [0, 4, 0, 6], [0, 4, 0, 3], [0, 0, 0, 6], [13, 0, 0, 0], [42, 0, 4, 0], [21, 0, -12, 0], [0, -18, 0, 0], [2, 0, -12, 0], [0, -4, 0, 7], [-41, 0, 2, 0], [0, -24, 0, 2], [0, 4, 0, -1], [0, -12, 0, 0], [15, 0, 0, 0], [-47, 0, 4, 0], [0, -18, 0, -6], [0, 0, 0, -10], [0, -12, 0, 8], [10, 0, 4, 0], [14, 0, -4, 0], [-24, 0, 8, 0], [0, 8, 0, 4], [0, -4, 0, -4], [-46, 0, 0, 0], [0, -12, 0, 2], [0, 6, 0, 9], [-20, 0, 12, 0], [-11, 0, 8, 0], [0, 10, 0, 4], [-5, 0, 10, 0], [0, 16, 0, 0], [0, -22, 0, 0], [40, 0, 2, 0], [3, 0, -2, 0], [0, -14, 0, 6], [0, 8, 0, -5], [0, -18, 0, 7], [-49, 0, 4, 0], [-52, 0, -6, 0], [0, -2, 0, -3], [37, 0, 6, 0], [0, -22, 0, -2], [46, 0, 8, 0], [0, -26, 0, 4], [0, -4, 0, -5], [8, 0, 18, 0], [0, 12, 0, 5], [-9, 0, -20, 0], [-42, 0, -4, 0], [-12, 0, -4, 0], [0, 22, 0, -3], [-18, 0, -6, 0], [0, 4, 0, -6], [24, 0, -4, 0], [0, -6, 0, 7], [0, -8, 0, 1], [0, -12, 0, -4], [0, 4, 0, 5], [-50, 0, -6, 0], [46, 0, -4, 0], [5, 0, 4, 0], [0, 10, 0, 6], [0, 2, 0, -4], [-18, 0, -8, 0], [0, 4, 0, 10], [-20, 0, 4, 0], [0, 12, 0, -6], [30, 0, -4, 0], [0, 8, 0, 0], [0, -4, 0, 10], [8, 0, -18, 0], [0, -6, 0, -14], [0, 4, 0, 10], [-31, 0, 4, 0], [24, 0, -6, 0], [0, -18, 0, 6], [-2, 0, -2, 0], [-36, 0, -16, 0], [0, -28, 0, 5], [-30, 0, 0, 0], [2, 0, -4, 0], [0, 2, 0, 12], [-12, 0, 0, 0], [0, 2, 0, -7], [0, -2, 0, -4], [-51, 0, -10, 0], [0, -2, 0, 5], [-28, 0, -4, 0], [4, 0, 16, 0], [-32, 0, -20, 0], [9, 0, -18, 0], [44, 0, 14, 0], [28, 0, 14, 0], [0, 16, 0, 7], [26, 0, -4, 0], [21, 0, 24, 0], [0, -14, 0, 8], [0, -14, 0, -4], [-12, 0, -16, 0], [0, 10, 0, -2], [-16, 0, -14, 0], [-56, 0, -2, 0], [0, -8, 0, 1], [41, 0, 16, 0], [0, 22, 0, -3], [56, 0, 12, 0], [0, 16, 0, -6], [0, 22, 0, -9], [0, -12, 0, 6], [0, -2, 0, -7], [0, 14, 0, 4], [-29, 0, -20, 0], [0, -6, 0, 12], [-16, 0, -16, 0], [0, 6, 0, 10], [0, 16, 0, 8], [58, 0, 4, 0], [0, 0, 14, 0], [0, -8, 0, -8], [-45, 0, -6, 0], [0, 8, 0, 3], [19, 0, -2, 0], [-42, 0, 0, 0], [0, 4, 0, -3], [-10, 0, 6, 0], [0, 8, 0, 13], [-22, 0, 8, 0], [0, 14, 0, 8], [0, 24, 0, -4], [0, -6, 0, -1], [-12, 0, 8, 0], [0, -8, 0, -1], [-24, 0, -10, 0], [0, 0, 0, 2], [0, -4, 0, -2], [44, 0, 0, 0], [0, 18, 0, 5], [-24, 0, -6, 0], [-6, 0, 8, 0], [0, 14, 0, 2], [-19, 0, 2, 0], [0, -6, 0, -5], [22, 0, -8, 0], [31, 0, 18, 0], [-38, 0, 12, 0], [0, -12, 0, 9], [0, 22, 0, -5], [-18, 0, 4, 0], [0, -10, 0, 7], [-26, 0, 0, 0], [0, 2, 0, 8], [36, 0, -12, 0], [0, 18, 0, -2], [9, 0, -24, 0], [0, 14, 0, -10], [54, 0, -6, 0], [24, 0, 6, 0], [30, 0, 0, 0], [0, 14, 0, -11], [0, -20, 0, -8], [29, 0, -2, 0], [0, -6, 0, -1], [0, -32, 0, 7], [-32, 0, -2, 0], [59, 0, -2, 0], [0, 10, 0, -2], [0, -14, 0, -8], [16, 0, -6, 0], [-17, 0, -4, 0], [0, -12, 0, 8], [38, 0, -14, 0], [-21, 0, -16, 0], [0, -2, 0, 10], [0, 4, 0, 10], [0, 18, 0, 0], [0, 28, 0, -4], [0, -16, 0, -10], [27, 0, 12, 0], [0, -32, 0, 2], [0, 0, 0, -14], [0, 8, 0, -1], [-30, 0, -22, 0], [10, 0, -4, 0], [0, 24, 0, -6], [-15, 0, -22, 0], [-15, 0, -20, 0], [0, -20, 0, -7], [30, 0, -20, 0], [0, 12, 0, 5], [0, -4, 0, -12], [10, 0, 28, 0], [-49, 0, -4, 0], [0, 32, 0, 0], [0, -24, 0, -9], [4, 0, -2, 0], [0, -14, 0, -2], [-44, 0, -2, 0], [0, 30, 0, -4], [0, 34, 0, -3], [1, 0, 2, 0], [0, -10, 0, -5], [-12, 0, 2, 0], [0, 36, 0, 0], [3, 0, -10, 0], [-38, 0, -4, 0], [-31, 0, -30, 0], [0, 12, 0, -4], [61, 0, 4, 0], [0, -4, 0, -2], [0, 12, 0, 7], [-54, 0, 8, 0], [0, -20, 0, -11], [71, 0, -4, 0], [0, 0, 24, 0], [0, 14, 0, 6], [80, 0, -4, 0], [0, -26, 0, -3], [14, 0, 26, 0], [0, 26, 0, -7], [-41, 0, 2, 0], [0, -14, 0, 14], [0, 14, 0, -2], [-2, 0, 2, 0], [51, 0, 4, 0], [0, 12, 0, 8], [64, 0, 12, 0], [0, 12, 0, -6], [-10, 0, 2, 0], [0, -18, 0, -11], [0, 24, 0, 6], [-3, 0, 14, 0], [13, 0, 0, 0], [0, -14, 0, -10], [0, -20, 0, -2], [24, 0, -22, 0], [0, 20, 0, 8], [0, 4, 0, -10], [0, 16, 0, -4], [-4, 0, 26, 0], [0, 12, 0, 6], [0, -4, 0, -20], [86, 0, 0, 0], [0, -14, 0, -16], [0, 28, 0, 9], [0, 12, 0, 12], [-8, 0, 6, 0], [0, -4, 0, -18]], 'char_orbit_index': 1, 'field_poly': [13, 0, -9, 0, 1], 'hecke_orbit_code': 108086391090447911, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [5, 0, 1, 0], [0, 6, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-5, 0, 1, 0], [0, -6, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 81820, 'label': '1575.2.a.y', 'level': 1575, 'maxp': 2999, 'weight': 2}