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

Formats: - HTML - YAML - JSON - 2026-04-30T06:28:34.588594

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, -1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-1, 0, 1], [0, 0, 0], [1, -1, 1], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [2, 1, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-1, 2, 1], [0, 0, 0], [-3, 0, 1], [0, 0, 0], [0, -1, 1], [0, 0, 0], [1, -1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, 0, 2], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, -2, 1], [0, 0, 0], [2, 1, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, 0, 1], [0, 0, 0], [-2, 0, -2], [0, 0, 0], [4, 1, 1], [0, 0, 0], [7, -3, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, -3, -2], [0, 0, 0], [1, -1, -3], [0, 0, 0], [-6, -1, -1], [0, 0, 0], [4, -3, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-2, 1, 1], [0, 0, 0], [-4, 3, 1], [0, 0, 0], [-2, -1, -3], [0, 0, 0], [7, -2, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [9, 1, -2], [0, 0, 0], [4, -1, 1], [0, 0, 0], [0, -3, -1], [0, 0, 0], [7, -1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, -1, -1], [0, 0, 0], [-3, 1, 4], [0, 0, 0], [1, -3, -1], [0, 0, 0], [3, 0, 5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, -1, 0], [0, 0, 0], [8, -2, 0], [0, 0, 0], [-10, 2, 4], [0, 0, 0], [6, -1, 3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, -3, -4], [0, 0, 0], [3, -1, 0], [0, 0, 0]], 'ap': [[0, 0, 0], [1, -1, 0], [0, 0, 0], [-1, 0, 1], [-1, -1, 0], [2, 1, -1], [-1, 2, 1], [-3, 0, 1], [1, -1, 0], [1, 0, 0], [-1, -2, 1], [1, 0, 1], [4, 1, 1], [7, -3, 0], [1, -3, -2], [4, -3, -3], [-4, 3, 1], [-2, -1, -3], [9, 1, -2], [0, -3, -1], [7, -1, 0], [-3, 1, 4], [3, 0, 5], [8, -2, 0], [1, -3, -4], [0, 4, 2], [1, 1, -2], [9, 2, 1], [2, 5, 3], [-1, -3, 2], [3, 1, 0], [3, -6, -3], [-5, 6, 1], [2, -2, -4], [6, 4, -4], [-8, -3, -5], [-11, 1, 4], [-1, 3, 6], [-1, -1, -2], [-2, -3, 3], [-4, 0, 4], [-6, 3, -3], [1, 1, -4], [17, -2, -1], [0, 6, -4], [12, 1, 3], [1, -5, 6], [1, 5, -2], [1, 5, -6], [-2, 4, -4], [6, -2, -2], [8, 7, -3], [2, 6, -2], [-1, -1, 4], [-6, 5, -1], [-7, 7, 0], [8, 3, -1], [-5, 5, -2], [8, 7, -1], [10, 9, -5], [3, -1, -2], [-15, 9, 4], [3, -7, 4], [15, -2, 1], [10, -1, -7], [-3, -6, 3], [-13, 2, 1], [-11, -5, 2], [21, -2, 1], [10, 0, -4], [4, -1, 11], [-17, 4, -1], [1, -1, 4], [8, 2, 12], [-1, 5, -6], [13, -12, -5], [8, 7, 3], [0, 6, 4], [6, 11, -3], [10, -7, 3], [14, -3, 1], [2, -5, 1], [-8, 2, 2], [23, 4, -5], [-14, 9, -3], [5, 7, 0], [10, 11, 1], [24, -7, -3], [4, -10, 4], [-11, -5, 4], [11, 7, 2], [19, -13, -4], [-21, 8, 1], [3, 4, 3], [-20, 10, 6], [-7, 11, -4], [-22, -9, 5], [-18, 11, 9], [3, -13, -2], [-28, 2, -4], [17, 14, -7], [2, 12, 4], [-13, 11, 6], [10, -7, -9], [-12, -10, -2], [9, -4, -7], [13, -1, 0], [8, -11, -3], [-15, -7, 4], [20, -5, -9], [-11, 13, 2], [14, 14, -6], [-3, -9, -2], [-7, 1, 0], [-2, 8, 6], [32, -7, -3], [-13, 3, -6], [7, 14, -1], [-9, 11, -8], [-3, 8, -7], [14, -9, -11], [20, -6, 4], [1, -3, 0], [19, 9, 0], [-6, 7, -5], [-2, -9, 5], [-2, -7, 7], [-4, 3, 9], [-31, 11, 4], [-17, -8, -1], [21, -10, -5], [-23, -7, 2], [-3, 6, 11], [3, 1, -14], [-10, -8, 4], [24, 0, 2], [37, -10, -5], [9, 10, -3], [-17, -3, 2], [-28, 6, 4], [18, -2, -4], [18, -2, 6], [1, -7, 2], [-3, -9, -16], [0, -13, -1], [-29, -3, -2], [-1, -12, 11], [46, 1, -1], [-19, 13, 8], [-11, 0, 15], [-16, -7, -3], [16, -7, 1], [-17, -2, 11], [-17, -9, 10], [9, 13, -2], [-19, -6, -1], [-8, -15, 3], [-6, 6, 10], [16, -3, 5], [34, -4, 0], [31, 5, 0], [-10, -10, -6], [19, -13, -2], [17, 10, 7], [-34, 9, -1], [-7, 3, -8], [-24, 5, -5], [-17, 15, 12], [18, 10, -10], [15, -4, -1], [-42, -3, 1], [18, -12, 0], [22, -5, 11], [-25, -2, -7], [-8, 25, -1], [6, -13, 1], [-14, -15, 9], [20, -12, -14], [-3, -5, -4], [2, 6, 10], [-37, 9, 4], [-1, 0, -17], [-16, 8, -2], [-6, 17, -1], [5, -9, -16], [-18, 12, 4], [17, 2, -1], [-17, -3, -8], [-18, -1, 5], [40, -4, 4], [-24, 8, 2], [19, -11, -8], [5, 0, 5], [42, 7, -3], [7, 17, 4], [-24, -6, -16], [4, 13, 9], [-12, 10, -8], [4, -6, -4], [37, -2, 5], [-10, -6, -14], [14, 16, -6], [19, -6, -15], [-16, -14, 0], [-13, 20, 3], [-16, 10, 12], [-25, 6, -3], [-21, -3, 4], [22, -29, -7], [-11, -1, -6], [-29, 16, -1], [22, 4, -12], [23, 1, 4], [29, -15, -10], [-3, 1, 4], [-26, 16, -4], [15, -2, -9], [34, -4, -8], [15, -16, -11], [-29, -1, -4], [-30, 17, 3], [6, -12, 6], [8, -6, 16], [13, 11, -8], [13, 12, 15], [-28, 3, 3], [23, -30, -3], [-17, -11, -2], [-7, -21, 8], [30, 19, -13], [-47, -8, 1], [-2, 1, -7], [-19, -5, -2], [-40, 21, 5], [-1, 0, 5], [11, 15, 6], [2, -11, -1], [-23, 5, -4], [-6, 10, -16], [-13, 2, -7], [17, -11, -14], [-14, -1, 11], [17, -2, 5], [50, 2, -6], [6, -10, -18], [-20, 12, 4], [-21, 8, -11], [-16, -1, -7], [38, 9, 5], [9, 1, -18], [23, -16, -1], [-22, -8, 0], [31, 13, -12], [-2, -5, 9], [-21, -2, 9], [-2, -8, -14], [-8, 8, 18], [-27, -23, 14], [18, -28, -12], [8, 12, 14], [7, 17, -20], [1, 13, 14], [10, -12, 8], [9, -22, 3], [25, -13, 6], [-13, -9, -16], [-10, 20, -8], [26, -4, 8], [-19, 1, -6], [22, 0, 4], [-2, 18, 6], [-11, 3, -12], [-28, 10, 8], [-23, 5, -4], [13, 10, -9], [29, 3, 8], [39, -19, -8], [-38, 33, 15], [-28, -11, 5], [32, -15, 7], [-11, 8, 23], [-10, -6, -20], [43, -12, 1], [-26, -19, 11], [-61, 3, 2], [21, 22, -5], [-7, 13, 4], [-17, 22, 1], [2, 6, -8], [14, 2, -18], [-18, -6, -6], [57, 0, 3], [16, 14, 4], [27, -13, 4], [-19, 9, -16], [-10, 11, 17], [41, -10, -5], [-12, 19, -1], [48, 5, -9], [-35, -17, 8], [-39, -13, 6], [44, -11, 1], [-3, 4, -11], [11, 13, 8], [55, -22, -7], [30, -9, -3], [49, -19, -2], [46, -16, 0], [2, -21, 7], [32, 14, 4], [45, -11, 6], [38, -34, -18], [18, 9, -21], [11, 28, -7], [19, -20, -15], [-10, 25, 7], [-9, 17, 6], [12, 8, 4], [-10, 11, -7], [10, 19, 9], [31, -5, 4], [2, 11, 21], [-22, -1, 9], [-21, 21, 0], [30, 22, -2], [-44, 7, -13], [4, 14, 26], [15, -8, -15], [-41, 7, 6], [14, 0, -16], [2, -7, -1], [-18, 17, -9], [-16, 4, -8], [9, 17, -6], [23, -4, -5], [61, 4, -1], [6, -14, 2], [25, 6, -9], [-12, -1, -1], [-33, 4, 1], [25, -29, -6], [-20, 20, 6], [12, 11, 7], [8, 20, -8], [18, 3, 17], [-5, 21, -2], [-2, 17, 15], [-15, -25, 16], [37, 17, 4], [25, -1, 2], [8, 5, 23], [-24, 1, 9], [14, -5, -15], [1, -11, -6], [30, -18, 6], [-5, -11, 14], [19, 26, -7], [26, -24, 2], [-7, -24, 9], [41, -6, 1], [-8, 2, 0], [-46, -20, 4], [25, -5, 16], [-26, 18, 16], [-63, -9, 8], [-25, -4, -25], [-11, 34, -5], [25, 15, -12], [-36, -5, -5], [-1, 2, -3], [18, -2, 12], [13, -11, -14], [24, -33, -17], [0, -21, -23], [-30, 16, -4], [79, 6, 1], [31, -1, -8], [-1, -37, 0], [-50, -5, -11], [-6, -3, -29], [-44, 4, -14], [22, -9, -19], [-1, 3, -10], [33, -22, -13], [4, -1, -7], [-43, 11, 8], [-67, 1, 0], [-50, -1, 13], [15, -11, 12], [3, -17, -18], [58, -7, 11], [0, -35, 5], [13, -24, -3], [55, 1, -8], [-23, -25, 22], [18, -7, 19], [-20, -30, 2], [-20, 8, -14], [-20, -7, 7], [58, -13, 1], [26, 2, 10], [3, 10, 17], [-33, 17, 12], [20, 18, 8], [30, 7, -19], [4, -18, -18], [30, -2, 22], [-18, 28, 8], [15, -3, 8], [-4, -4, -16], [14, 23, -27], [-8, -13, 3], [-29, -6, -1], [-20, -25, -7], [33, -36, -11], [-8, 12, 6], [31, -9, 0], [-13, 17, -16], [33, 1, 4], [39, 5, -8], [-18, 1, 3], [31, -9, -4], [5, 15, 20], [5, -11, 4], [38, -10, 2], [-26, -28, 12], [27, 4, -19], [26, -11, -17], [48, -17, -3], [-27, 32, 1]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 76561193698858664, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 1], [2, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0], [-2, 0, 1], [2, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 160078, 'label': '5800.2.a.r', 'level': 5800, 'maxp': 2999, 'weight': 2}