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

Formats: - HTML - YAML - JSON - 2026-09-22T11:40:18.964163

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], [-1, 0, 0], [0, 0, 0], [1, 1, 0], [0, 0, 0], [0, 0, 1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, 1, 1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [2, 0, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0], [0, 0, -1], [0, 0, 0], [0, 0, -2], [0, 0, 0], [5, 2, 2], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [2, 0, 0], [0, 0, 0], [2, -2, -1], [0, 0, 0], [1, -1, -1], [0, 0, 0], [-2, 2, 0], [0, 0, 0], [0, -2, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [3, -1, 0], [0, 0, 0], [-2, -2, -2], [0, 0, 0], [1, 1, 0], [0, 0, 0], [3, 1, 1], [0, 0, 0], [3, -2, -2], [0, 0, 0], [-2, 0, 0], [0, 0, 0], [4, -2, 0], [0, 0, 0], [6, 2, 2], [0, 0, 0], [0, 0, 1], [0, 0, 0], [-7, -1, 1], [0, 0, 0], [0, -2, 2], [0, 0, 0], [0, 0, 1], [0, 0, 0], [1, 1, 0], [0, 0, 0], [6, 2, 3], [0, 0, 0], [0, 0, 2], [0, 0, 0], [3, 1, -1], [0, 0, 0], [8, 2, 0], [0, 0, 0], [-5, -2, -2], [0, 0, 0], [8, 0, -4], [0, 0, 0], [12, 0, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, 1, -1], [0, 0, 0], [2, 2, 0], [0, 0, 0], [-2, 0, 0], [0, 0, 0], [-3, -3, 0], [0, 0, 0], [0, 0, 1], [0, 0, 0], [-2, 2, 1], [0, 0, 0], [2, -2, 0], [0, 0, 0], [0, 2, 0], [0, 0, 0], [-1, 1, 1], [0, 0, 0]], 'ap': [[0, 0, 0], [-1, 0, 0], [1, 1, 0], [0, 0, 1], [-1, 1, 1], [1, 0, 0], [2, 0, 0], [0, 0, -1], [0, 0, -2], [2, 0, 0], [2, -2, -1], [0, -2, 0], [3, -1, 0], [-2, -2, -2], [3, 1, 1], [4, -2, 0], [-7, -1, 1], [0, -2, 2], [6, 2, 3], [3, 1, -1], [8, 2, 0], [12, 0, 0], [-1, 1, -1], [-3, -3, 0], [0, 2, 0], [2, 0, 4], [10, 2, -2], [-8, -4, 2], [-2, 0, -4], [-4, -2, -4], [12, 0, -2], [0, -4, -2], [-1, 3, 4], [-6, 2, 0], [-1, 3, 0], [2, -2, 1], [4, -6, -2], [4, 4, -3], [-1, 5, 1], [6, -4, 0], [-14, 2, 0], [-4, 2, -2], [-2, -6, 0], [-10, -4, 4], [-3, -3, -4], [0, 4, 2], [12, 0, 0], [-2, -6, -1], [1, -1, -1], [6, 0, 0], [8, 2, 0], [3, 1, 3], [-8, -6, 0], [-14, 2, 2], [-12, -2, 0], [-14, -2, -2], [6, -4, 0], [12, 4, 1], [2, 4, 0], [-5, -1, -4], [-16, -4, 2], [-5, -1, -4], [18, -2, -3], [4, 4, 6], [10, 0, -4], [1, 1, 4], [2, -2, -1], [18, 0, 4], [8, 4, -4], [-12, 2, 0], [3, -1, -4], [-17, -3, -7], [2, 2, -4], [6, 8, 0], [-8, 0, -5], [21, -1, -1], [4, -2, 4], [4, 2, 0], [-11, 5, 4], [-8, 2, 0], [12, -8, -2], [-26, 0, -4], [-7, 3, -5], [16, -6, -2], [2, -6, 2], [0, -4, -2], [-7, 1, -4], [24, 2, 4], [-19, -3, 0], [-12, 12, 5], [-2, -2, 2], [1, 3, -7], [6, 2, 7], [-2, -2, 6], [-6, -2, -1], [2, 6, 6], [13, 5, 4], [16, -6, -4], [18, 2, -4], [18, -4, 0], [2, -6, 0], [7, 3, 0], [6, -10, -4], [8, 10, 4], [-12, 8, 2], [-6, -8, -8], [31, 1, 3], [17, 1, 8], [-6, -2, 6], [-22, 0, -4], [-18, -2, 0], [4, -6, -4], [3, -9, 0], [-6, -2, -3], [-18, 2, 1], [-2, 4, 0], [-18, 2, 7], [-12, -4, -8], [-6, 0, -4], [0, -4, 0], [12, 2, 8], [20, 6, 6], [40, 2, 0], [-5, -11, -7], [-6, 6, 3], [0, 2, 0], [18, 4, 4], [-4, -4, 2], [24, 4, -6], [-18, 0, 8], [10, 6, -3], [-1, -3, -1], [30, -2, 2], [-8, 6, 6], [3, -1, -8], [10, 8, -4], [-9, 3, -4], [2, 6, -3], [24, 2, 0], [-20, -2, 4], [-16, -8, -1], [-13, 7, -4], [-6, -6, -10], [-17, -7, 5], [12, -6, -6], [25, 3, 5], [8, -10, -4], [28, 6, 4], [-20, 0, 8], [5, -1, 7], [-8, -2, -8], [-28, -2, -4], [-12, -8, 2], [-10, -6, 0], [8, -4, -6], [2, -10, -12], [-8, 12, 0], [-13, -9, 8], [12, 6, 2], [-1, -5, 0], [-3, 3, 9], [0, 2, 4], [-14, 14, 7], [16, -4, -4], [-23, 1, 8], [13, 7, 13], [14, -10, -4], [14, 0, -8], [0, 2, 0], [-10, 4, 8], [-15, -1, -9], [-28, 2, 0], [16, 8, 2], [-8, 2, -8], [14, -2, 6], [18, 8, 12], [26, -2, -3], [-45, -1, 0], [30, -2, 6], [-18, 8, 0], [-28, 4, 1], [-34, -2, -8], [-8, -10, -2], [-7, 1, -8], [19, -7, 5], [16, 2, -4], [20, 2, -2], [-28, 4, 7], [-20, -2, -8], [-13, 9, 1], [-24, 2, 6], [-33, 1, -5], [-6, 10, -4], [-33, -5, -4], [-6, 10, 4], [24, 2, 4], [-14, 0, 0], [-18, 16, 8], [29, 5, -8], [-22, 6, 8], [-19, -3, 4], [14, -2, -4], [30, 8, -4], [24, 2, 6], [1, -1, -7], [20, 6, 4], [-18, -6, -5], [8, -4, 2], [25, 1, -8], [16, 4, 14], [24, 2, 6], [-32, -6, -12], [-4, 0, 8], [7, 1, -7], [53, -1, -1], [-2, 12, 4], [-8, -12, 4], [6, -12, 0], [-33, -3, 7], [15, 11, 12], [-6, -4, -8], [40, 0, -3], [-7, 1, -4], [10, -18, -5], [-30, 10, 6], [10, 4, 0], [2, 8, -12], [30, 2, 6], [4, 0, 6], [21, -13, -7], [12, 10, 14], [26, 2, 8], [-36, 12, 7], [10, 8, -8], [14, 6, -4], [-29, -7, -1], [4, -2, 4], [-21, -9, 0], [-10, -2, 4], [-22, -2, -4], [19, -3, -5], [8, 4, 6], [-20, 8, 8], [20, 2, 8], [17, 1, -4], [36, -4, -2], [8, 0, -7], [-23, -9, -7], [-8, 8, 7], [-8, -8, 10], [22, 8, 4], [11, 7, 4], [-11, -9, 1], [2, -8, 12], [10, -8, 8], [-21, 5, 9], [6, 0, 0], [-8, -8, -5], [4, 6, -12], [14, 12, -4], [8, 4, 2], [4, 8, 0], [22, 0, 4], [30, -8, 0], [53, 5, 0], [-40, 4, -4], [-3, -3, -12], [7, 3, 16], [-22, -10, -19], [10, 0, -4], [24, 6, -2], [-14, -10, 3], [28, -2, 0], [42, 2, -2], [6, -4, -4], [-36, 4, -5], [-7, -1, 15], [-4, 10, -4], [-18, -4, 4], [-10, -2, 2], [6, 10, -8], [20, -12, 1], [10, 14, 0], [0, 14, 0], [38, 10, 5], [-60, -4, -4], [-16, -6, -10], [31, 3, 8], [2, -2, 13], [-20, 6, -4], [20, -2, 0], [-40, -12, 4], [41, 1, -4], [13, 11, -3], [-12, -6, -10], [52, 6, -4], [18, -6, 8], [8, -14, -4], [-16, 12, 0], [34, 6, 17], [10, 16, 0], [1, -7, -4], [26, 2, -14], [-8, 4, -16], [10, -6, 12], [-28, 14, 4], [10, 10, 12], [-38, -12, -8], [-43, -9, -3], [18, 12, -8], [34, 6, 6], [25, -15, 0], [12, -10, 0], [16, 4, -12], [-17, 21, 5], [-10, 4, -12], [-23, 15, -1], [1, -5, -5], [4, -2, 4], [-42, 4, 4], [14, -2, 10], [54, -12, -4], [-24, 2, 12], [42, 14, -7], [-27, -3, 8], [8, 18, -2], [28, -20, -7], [-22, -2, -9], [-28, -4, 12], [-2, 4, 8], [10, -12, -16], [2, -8, -8], [12, -8, 8], [31, 17, -11], [40, 8, -5], [-21, -3, 3], [-24, -2, 8], [31, 3, -4], [-28, 6, 12], [-14, -14, 6], [-64, -2, 0], [-20, -18, -8], [-37, -1, 4], [30, -2, -2], [1, 1, 20], [6, 6, 20], [-10, 16, 0], [24, 0, 13], [-5, 9, 5], [32, -6, -8], [10, 6, -5], [-24, 2, 4], [-45, -1, -12], [-44, -8, -6], [16, 6, -2], [-40, 10, 8], [23, 5, 13], [1, 15, 19], [-24, 2, 0], [29, -17, -5], [32, -2, 0], [-14, 0, 16], [-58, 2, -6], [13, -5, -13], [30, 14, 6], [16, -14, -6], [-19, 5, 4], [-34, -14, -15], [-36, -10, 14], [4, 16, 18], [-6, 2, 14], [-17, -3, 5], [-68, 6, 4], [36, 0, 0], [18, 12, 16], [47, 1, -9], [-4, 4, 8], [-22, -8, -4], [10, 16, 0], [32, 18, -6], [-49, -5, 0], [15, 3, 16], [-8, -8, -11], [-27, -19, 4], [-8, 16, 1], [5, -1, 9], [32, 0, 7], [-4, 2, -6], [-28, -4, -1], [-42, -6, 10], [20, -2, 4], [31, 19, -8], [7, 1, 1], [8, -4, 0], [-57, -3, -11], [-40, 10, 6], [-32, -8, -1], [-30, -8, -8], [80, -4, 0], [1, 1, -20], [16, -10, 12], [2, 0, 4], [28, -12, -3], [-59, 13, 4], [-3, -19, -12], [-12, 16, 4], [-46, -4, -16], [9, 1, 16], [-10, 18, 17], [-45, -11, -3], [-14, -16, -16], [40, -14, -8], [32, 12, -12], [10, -6, -14], [-42, 4, 8], [12, 14, -8], [-41, -3, -17], [-52, -8, -12], [-15, 9, -4], [-16, 16, 6], [18, 0, 16], [12, 2, 8], [-21, -23, -5], [-20, 0, 10], [-50, -4, -4], [15, 3, 8], [46, 14, 6], [-3, -19, -8], [-16, 16, 1], [2, -10, -16]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 63050394816742624, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0], [1, 1, 0], [5, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [-1, 2, 0], [-4, -2, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 71874, 'label': '1248.2.a.o', 'level': 1248, 'maxp': 2999, 'weight': 2}