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

Formats: - HTML - YAML - JSON - 2026-09-22T08:52:26.774913

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, 1], [0, 0], [2, 1], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [2, -1], [0, 0], [-1, -2], [0, 0], [-5, 2], [0, 0], [-1, -1], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [4, 1], [0, 0], [3, 2], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [-3, 2], [0, 0], [0, -1], [0, 0], [-7, 2], [0, 0], [-10, 0], [0, 0], [0, 0], [0, 0], [-7, 2], [0, 0], [7, -5], [0, 0], [5, -1], [0, 0], [-3, -3], [0, 0], [0, 0], [0, 0], [10, 3], [0, 0], [5, 2], [0, 0], [7, -1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [5, 2], [0, 0], [-6, 6], [0, 0], [5, 1], [0, 0], [0, 0], [0, 0], [-3, 1], [0, 0], [-4, 7], [0, 0], [-6, 2], [0, 0], [4, -5], [0, 0], [0, 0], [0, 0], [-5, -5], [0, 0], [2, -1], [0, 0], [-3, 1], [0, 0], [-10, -5], [0, 0], [0, 0], [0, 0], [9, -1], [0, 0], [2, 1], [0, 0]], 'ap': [[0, 0], [0, -1], [0, 0], [-3, 1], [1, 0], [1, 0], [2, -1], [-1, -2], [-1, -1], [4, 1], [3, 2], [-3, 2], [-7, 2], [-10, 0], [-7, 2], [-3, -3], [5, 2], [7, -1], [-4, 0], [-6, 6], [5, 1], [-4, 7], [4, -5], [2, -1], [9, -1], [-9, -3], [-8, 5], [3, 6], [-2, -1], [-7, 2], [8, 3], [9, -3], [-8, 7], [7, -6], [-8, 4], [-5, 0], [-6, -4], [-13, -3], [-11, -2], [-3, 6], [3, -9], [5, -3], [-20, 1], [-4, 4], [-7, -7], [10, -3], [-5, 0], [-15, -2], [-8, 7], [-16, 3], [-13, -1], [5, -1], [2, -9], [-8, 7], [-18, 0], [13, 4], [10, -11], [1, -6], [3, 2], [3, -6], [0, -11], [14, -4], [-30, 1], [17, -4], [10, -6], [0, 3], [5, -8], [22, 0], [21, -3], [-9, -2], [-7, -4], [6, 0], [17, -3], [-3, 8], [31, 0], [-18, 0], [-12, 0], [-10, 1], [-26, 4], [17, 0], [-27, 0], [17, 3], [17, -10], [-9, 8], [2, -5], [28, -2], [29, -1], [-5, -3], [9, -12], [-19, 6], [5, 2], [11, -4], [-13, -6], [13, -2], [-1, -5], [22, -2], [-15, 9], [-4, 2], [-14, -4], [-19, 3], [-1, 3], [1, 16], [-15, -9], [5, 5], [9, -13], [2, -5], [2, 5], [17, 2], [-14, -11], [9, 7], [-34, 0], [14, -17], [12, 6], [-23, 6], [7, -9], [-35, 4], [-10, -12], [-1, 8], [4, -11], [-20, 7], [25, 2], [11, 10], [-4, 2], [7, 10], [7, 9], [32, -4], [-4, 12], [27, -12], [2, -9], [19, -18], [-17, -9], [37, 1], [-16, 1], [-15, 8], [8, 8], [-25, -6], [-29, 1], [-1, -6], [2, -13], [-12, -12], [11, 16], [4, 16], [8, 0], [-16, 2], [-24, -5], [-7, 11], [22, -9], [-3, 12], [30, -10], [-5, -8], [-28, 16], [27, -9], [15, 4], [-17, -8], [-12, 16], [-10, 8], [-40, 4], [-3, 6], [-24, -4], [-11, -14], [23, -10], [42, 0], [24, 7], [-5, -5], [9, 6], [-4, -16], [-14, -15], [-32, -3], [-37, 0], [24, -18], [-35, 1], [15, 7], [36, 3], [7, -9], [-11, -12], [6, 12], [-4, 4], [43, 4], [26, -6], [12, -8], [-28, 6], [7, -11], [-35, 6], [18, 0], [47, 2], [1, 4], [-38, 6], [41, 9], [-25, 18], [-52, -4], [36, 5], [-36, 0], [-25, 10], [10, -5], [41, -7], [3, 6], [-16, -6], [-1, 22], [13, -5], [-8, 7], [-19, -13], [-9, 11], [-12, -1], [4, -13], [38, 8], [-37, -1], [20, -8], [1, 16], [2, 8], [19, 3], [13, -12], [-9, 6], [-31, 3], [20, -10], [-35, -2], [-22, 6], [12, -20], [30, -15], [33, 9], [49, -5], [-48, -5], [-11, 0], [4, -8], [2, 3], [15, -6], [-13, 12], [9, -21], [-12, 6], [8, -12], [-10, 29], [-11, -9], [-35, 12], [-3, 8], [3, 12], [10, 5], [3, -12], [30, -2], [47, -1], [-28, -1], [-41, 1], [-41, 16], [10, 6], [10, 2], [23, 0], [6, 18], [-3, -9], [-25, -3], [-7, 5], [-32, 3], [32, 2], [-44, 6], [1, -2], [-38, 10], [-37, 0], [21, 3], [34, 10], [-19, -18], [-61, 0], [-49, -1], [10, -12], [8, -12], [-18, 6], [25, 14], [-4, 25], [-13, 14], [-14, 6], [-15, -24], [-63, 3], [-7, 18], [45, 12], [32, 18], [51, -8], [-8, -18], [-5, 18], [14, -17], [-15, -14], [-12, 0], [-4, 3], [-29, 17], [-35, 16], [2, -19], [52, 0], [19, 19], [23, 12], [-13, 21], [20, -28], [16, -15], [33, 9], [-19, -11], [-10, 23], [-47, -8], [-17, 22], [-48, 12], [-6, 9], [-35, 0], [41, -19], [15, 2], [63, -6], [34, 4], [31, -4], [-39, 2], [6, 12], [-33, -7], [-1, -10], [-38, 15], [-13, 10], [8, -10], [-5, -19], [4, 7], [-57, -4], [-34, -7], [2, 11], [7, 7], [17, -18], [53, -10], [-14, -10], [22, 4], [-18, 6], [48, -22], [27, -15], [47, -5], [-17, -21], [57, 6], [-47, 20], [-14, 25], [58, -16], [-44, 15], [-39, -5], [28, -26], [22, -8], [2, -6], [55, -8], [4, 3], [11, 2], [-50, 6], [-54, 0], [-24, 34], [46, 10], [-29, 5], [41, -21], [-74, -6], [-29, -20], [-25, 26], [-3, 17], [-61, 8], [82, -5], [-26, 11], [-5, -28], [10, -29], [-71, -8], [-11, 3], [-15, 23], [21, -18], [32, 21], [8, 0], [-3, 12], [-14, 4], [-65, 13], [57, -18], [36, 0], [-1, -17], [-47, 22], [-13, 8], [-76, 11], [-15, 7], [-5, 6], [-24, 30], [29, 6], [-28, 24], [52, 7], [68, -8], [-33, 15], [-42, -15], [46, -9], [-3, -16], [15, -9], [-27, 21], [10, 24], [-1, 11], [-73, 1], [-12, 30], [97, -2], [-2, 14], [6, -21], [-33, -4], [48, 9], [-11, -9], [40, 12], [5, -12], [-50, -8], [43, -7], [8, 32], [31, -14], [-16, 30], [-15, -24], [-11, 18], [64, -9], [-6, 18], [-7, -2], [29, -7], [-4, 24], [-23, -11], [-25, 3], [65, -4], [81, -6], [49, -12], [26, -14], [25, 16], [-28, 0], [-56, -14], [-2, 3], [13, -32], [-5, -20], [55, -3], [22, 0], [1, -2], [39, 0], [-92, 5], [-27, 18], [72, -3], [45, 6], [-13, -26], [-3, -24], [-41, 16], [-14, 18], [36, 12], [14, 20], [14, -25], [38, -32], [0, 27]], 'char_orbit_index': 1, 'field_poly': [-5, -1, 1], 'hecke_orbit_code': 153122387364155696, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 143508, 'label': '4400.2.a.bi', 'level': 4400, 'maxp': 2999, 'weight': 2}