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

Formats: - HTML - YAML - JSON - 2026-05-31T11:58:07.578438

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], [-1, 0, 0], [2, 0, 1], [-1, 0, 0], [0, 1, 0], [-1, -1, 0], [-2, -2, 0], [1, 0, 0], [0, 1, 0], [0, 2, 0], [-2, 0, -1], [0, 0, 0], [4, 1, 1], [1, 0, 0], [4, 2, 0], [0, 1, -2], [0, -1, 0], [-4, 0, -1], [-2, 0, -1], [1, 1, 0], [-8, 0, -2], [0, 0, 2], [2, 2, 0], [1, 0, 0], [0, 0, 0], [-1, 0, 0], [-4, -4, -1], [2, 1, -1], [0, -1, 0], [-1, 2, -3], [-4, 0, -2], [0, -2, 0], [0, 4, -1], [1, 1, 0], [2, 0, 1], [-2, 0, 2], [2, 6, 0], [0, 0, 0], [2, 2, 0], [0, 1, 1], [-4, -1, -1], [3, -1, 1], [4, 8, 0], [-1, 0, 0], [-4, -4, 0], [4, -3, 0], [-4, -2, 0], [-2, 2, 1], [0, -1, 0], [0, -1, 2], [0, 0, 0], [0, -2, 0], [0, 1, 0], [0, -2, 0], [10, 4, 2], [4, 0, 1], [-2, 0, -1], [2, 1, 1], [2, 0, 1], [-1, -2, 1], [-2, 7, -2], [-1, -1, 0], [-4, 4, 0], [0, 0, 0], [8, 0, 2], [-3, 3, -3], [-14, 0, 0], [0, 0, -2], [-4, -1, -1], [4, -1, 3], [-2, -2, 0], [-7, 3, 0], [-4, -2, 0], [-1, 0, 0], [-16, -2, -4], [-8, -2, -2], [0, 0, 0], [-1, 2, -3], [-4, -2, 0], [1, 0, 0], [-6, -2, -1], [6, 0, 2], [4, 4, 1], [0, -1, 2], [2, -5, 1], [-2, -1, 1], [-16, -4, -4], [-10, -1, 1], [0, 1, 0], [0, 0, 0], [16, 4, 0], [1, -2, 3], [12, -4, 3], [4, 0, 1], [4, 0, 2], [-5, 3, 1], [-10, 0, -2], [0, 2, 0], [2, 0, 1]], 'ap': [[0, -1, 0], [-1, 0, 0], [-1, 0, 0], [-1, -1, 0], [0, 2, 0], [0, 0, 0], [0, 1, -2], [-4, 0, -1], [0, 0, 2], [2, 1, -1], [-1, 2, -3], [-2, 0, 2], [0, 1, 1], [3, -1, 1], [4, -3, 0], [0, -2, 0], [2, 1, 1], [-1, -2, 1], [-3, 3, -3], [4, -1, 3], [-7, 3, 0], [-1, 2, -3], [6, 0, 2], [-10, -1, 1], [-5, 3, 1], [-8, 4, 0], [3, 7, -1], [8, -1, 2], [-9, -4, 2], [-6, -2, 0], [-11, 3, 0], [6, -3, -1], [2, -7, 2], [5, -6, -2], [10, 2, -2], [0, 4, 3], [-5, -1, -1], [3, -1, 4], [8, -4, 2], [6, 3, -2], [-2, -1, -5], [18, -2, 3], [-4, -5, 3], [-17, -3, 2], [-6, 6, 2], [1, 0, -2], [-1, -6, -2], [-8, 6, 0], [-10, -3, -2], [-14, 4, 1], [-4, -10, 6], [-18, 2, 0], [-10, 0, -1], [2, -4, 0], [-2, 1, 2], [-8, -3, 4], [10, -7, 1], [-5, -10, 2], [-2, -8, 0], [2, -1, 1], [-7, -13, 4], [-8, 1, -10], [9, 1, 1], [-2, 7, -9], [-9, -5, 5], [-2, 2, -6], [-1, -10, 2], [9, -1, -5], [-8, 2, -8], [1, 2, -3], [-12, 6, -8], [16, 1, -5], [1, 1, -5], [-11, -9, 4], [1, 8, 5], [2, 11, 0], [-2, 4, 6], [-11, -1, 1], [4, 10, -2], [-9, -10, 3], [10, 3, -1], [7, -10, 9], [-14, -14, 4], [-11, 9, 0], [19, 6, -1], [-4, -1, 2], [-6, -10, 6], [-1, 3, 1], [-10, 5, -7], [3, 3, 5], [-8, -9, 4], [2, 11, -11], [-6, -4, 5], [14, 13, -7], [-12, 10, 5], [-6, 8, 6], [16, -6, -6], [-14, 3, -5], [-24, 2, 2], [-9, -6, -4], [-7, -5, 7], [-2, 10, -12], [2, -4, 4], [0, -9, -1], [4, -10, 1], [-18, 2, -4], [-12, -15, 8], [-2, 2, 2], [-16, 7, 7], [6, 4, 5], [-10, -8, 3], [-3, -5, -1], [-12, 6, 0], [3, 2, -4], [17, -12, -1], [0, 0, -6], [-33, -9, 4], [0, 4, -2], [16, -3, 4], [0, -2, 2], [13, -4, 4], [-3, -3, -4], [-6, 0, -4], [30, 3, -4], [-29, 2, -9], [8, 10, -4], [-13, 12, -4], [22, 13, -5], [-13, -9, 9], [-29, 3, -9], [-4, 6, 0], [10, -9, 0], [32, 10, -5], [0, 2, 1], [-14, -2, 2], [-30, 2, 3], [-8, 10, 10], [15, 13, 0], [-10, 7, 2], [20, -2, 2], [-1, -4, -4], [18, 12, -6], [12, 4, 4], [10, 3, 12], [-19, 8, 7], [-24, -20, 8], [7, 1, -2], [-20, -1, -6], [3, 2, -5], [10, 2, -2], [-10, 2, -4], [-24, -2, 0], [-11, 17, -1], [10, 7, -6], [18, 0, 9], [32, 6, -2], [12, 20, -9], [-16, 0, 2], [-2, 16, 0], [6, -5, -3], [4, 7, 4], [12, -2, 6], [-24, -10, 8], [-26, 4, 4], [20, -2, 10], [-4, 2, -4], [-8, 8, 3], [-7, 5, 4], [23, -2, 3], [-22, -5, -4], [24, -3, -3], [-22, -18, 7], [20, 2, 4], [-31, -7, -2], [4, -6, 5], [-20, 7, 1], [25, -2, -2], [-2, -8, 10], [-15, -5, -5], [15, -16, 2], [0, 2, -10], [-12, -25, 11], [-3, -7, -11], [8, -3, 6], [6, 3, 0], [-28, 0, 0], [-17, 13, 4], [32, -6, -4], [-13, 10, -17], [-32, 3, -5], [-5, 3, 6], [2, 13, 0], [11, 20, -7], [-22, 1, 7], [8, 5, -4], [24, -16, 4], [13, -16, -11], [-3, -3, -3], [-30, 15, 2], [2, 1, -8], [14, 23, -5], [5, -10, -1], [-1, 5, -15], [1, 0, -1], [-6, 12, 12], [30, 3, -4], [-7, 22, 0], [-10, 6, 0], [-10, -28, 8], [8, -6, -4], [-39, 1, -6], [8, -8, 14], [-33, -3, 7], [-2, 9, -2], [-22, -10, -6], [26, -8, 1], [-13, 1, -8], [2, 2, 6], [-38, -1, -8], [-20, -11, 2], [13, 6, -1], [17, -2, 5], [-6, -12, 2], [29, 15, -3], [-26, -12, -4], [23, 0, 0], [16, 4, 2], [-40, -2, 8], [9, 5, 2], [36, -9, 3], [-5, 1, 4], [-41, -6, 9], [-24, -16, 12], [40, -1, 9], [41, -9, -8], [2, -10, -6], [11, -22, -1], [-16, 3, -18], [-30, 3, 3], [20, -10, 12], [36, 6, -10], [56, 2, 3], [36, 2, -6], [-7, -10, -3], [-6, 24, -4], [-44, 2, -2], [31, -9, 9], [6, -4, -10], [21, 20, 1], [0, 16, -6], [17, 3, 18], [-28, -17, -1], [-2, -11, 2], [-19, 8, -9], [16, 9, 0], [-10, -7, 7], [-14, -24, 7], [26, -8, 21], [-42, -9, 4], [-44, 6, -3], [-8, -6, 10], [-16, -23, 6], [7, -12, -12], [25, 25, -12], [-4, -1, -18], [-1, -2, 8], [-6, 5, -17], [34, 5, -1], [0, 2, -16], [-14, 14, 8], [7, -10, 4], [-17, -1, -9], [22, -18, 14], [0, -24, 5], [-9, 15, -16], [-20, -24, 18], [14, -16, -2], [-14, 10, -2], [9, 24, -16], [18, 0, 8], [-22, -5, -10], [-8, -4, 0], [36, -10, -10], [17, 2, 0], [-24, 6, -18], [34, -8, 10], [-19, -11, 7], [-4, 17, -2], [47, 4, -4], [-54, -3, 5], [26, 19, -3], [18, -19, -12], [16, 10, -12], [-14, -8, -8], [-23, 11, -20], [6, 9, -15], [36, -14, -4], [8, 20, -10], [-54, 6, -2], [-1, 25, -10], [-41, 7, -7], [0, -1, -4], [16, 12, -4], [-28, -7, 4], [39, -16, -5], [25, 9, -10], [0, 36, -6], [2, 18, 2], [12, -21, -5], [-6, 24, -2], [6, -15, 20], [38, 8, -4], [-8, 13, -11], [-41, 11, -14], [36, -11, -6], [21, 2, 10], [2, -19, 17], [12, -6, 20], [-41, -11, 3], [4, 25, -11], [-7, -6, -1], [23, -11, 12], [-4, 27, -1], [-5, -13, -11], [12, 18, -14], [-3, -4, 7], [27, 20, -2], [4, 14, 4], [-48, 3, 8], [32, -9, -6], [10, -8, -13], [-36, -5, 8], [-19, 12, 4], [-8, -13, 0], [11, -8, -9], [22, -10, 18], [13, -30, 1], [18, 28, -22], [-22, 22, -10], [-23, -17, 1], [8, -18, -11], [22, -12, -8], [-6, -9, 9], [7, -14, -16], [6, -25, -10], [-16, 20, 10], [-15, 4, -5], [12, -14, 12], [52, 13, -1], [0, -10, 8], [17, -10, 2], [-14, -2, -20], [-2, -4, -14], [-29, 15, -7], [-34, 20, -5], [-36, 6, 4], [-14, 17, -15], [40, 1, -5], [58, -2, 6], [20, 10, 6], [-14, -10, 22], [32, 0, -8], [8, 20, -18], [76, 3, 1], [31, 11, -8], [-11, -39, 18], [20, 5, -4], [33, 21, -4], [58, -4, 1], [-38, 1, -9], [-43, -16, 8], [-12, 26, 8], [62, -16, -4], [24, 12, -3], [-16, 22, 1], [36, -13, 9], [34, -8, 2], [17, -5, 11], [36, -21, 7], [41, -11, 27], [-22, 12, -16], [-24, -9, -2], [-4, -24, -4], [-2, -19, 4], [-5, -14, -14], [8, -23, 10], [16, 0, -19], [5, -9, -5], [-41, -5, 2], [6, 6, 14], [42, -6, 21], [72, -1, 12], [-10, 34, -2], [-2, 20, -15], [-28, 7, 15], [35, -27, 6], [-24, 2, -11], [12, 3, -9], [48, -22, 1], [18, -3, 9], [5, -6, 21], [2, -31, 4], [-5, -31, 7], [-8, -31, 24], [20, 15, 7], [41, 10, -2], [63, -1, 13], [24, 1, 1], [1, 1, -5], [-26, 10, 4], [25, -17, -4], [28, -5, -2], [-32, -13, -10], [-4, 20, -12], [-23, -7, -5], [4, -19, 21], [8, -12, 2], [-29, 9, -8], [-8, 1, -4], [12, -7, 6], [12, -1, 23], [-1, 27, -8], [8, -13, 12], [-56, 14, 0], [35, -29, -2], [62, 1, 0], [-10, 1, 10], [-14, 22, -20], [-33, 14, 10], [-32, 2, -10]], 'char_orbit_index': 1, 'field_poly': [-2, -6, 0, 1], 'hecke_orbit_code': 117093590345189863, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 108489, 'label': '2535.2.a.ba', 'level': 2535, 'maxp': 2999, 'weight': 2}