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

Formats: - HTML - YAML - JSON - 2026-05-01T14:24:46.482939

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

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0], [2, 0, 0, -2], [0, 0, 0, 0], [0, 1, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 1], [0, 0, 0, 0], [-9, 0, 0, 0], [0, 0, 0, 0], [0, -3, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, -1, 0], [0, 0, 0, 0], [7, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 2, -2, 0], [0, -1, 2, 0], [0, 0, 0, -1], [0, 2, 1, 0], [1, 0, 0, 1], [0, 0, 0, -1], [0, 1, 4, 0], [7, 0, 0, -1], [0, -1, 3, 0], [0, 1, 2, 0], [0, 3, -2, 0], [0, 0, 0, 1], [7, 0, 0, 2], [0, -4, 5, 0], [2, 0, 0, -2], [0, 1, 2, 0], [4, 0, 0, 1], [0, -3, 1, 0], [7, 0, 0, 0], [0, 0, -4, 0], [7, 0, 0, 2], [0, 2, 3, 0], [0, -4, 5, 0], [-5, 0, 0, -2], [0, 2, -6, 0], [0, 4, 2, 0], [14, 0, 0, -1], [0, 7, 0, 0], [0, 0, 0, -4], [-1, 0, 0, -2], [-16, 0, 0, 1], [0, -3, 4, 0], [0, -3, 2, 0], [0, -3, 5, 0], [0, 9, -4, 0], [-4, 0, 0, -1], [21, 0, 0, 1], [10, 0, 0, -3], [0, -7, 0, 0], [0, 4, -12, 0], [-14, 0, 0, -1], [6, 0, 0, 6], [0, -4, 2, 0], [0, -3, -6, 0], [0, 0, 0, -1], [0, 1, -10, 0], [-6, 0, 0, 2], [0, 0, 0, -3], [14, 0, 0, 2], [0, 3, -12, 0], [0, 6, -11, 0], [21, 0, 0, -2], [0, 0, 0, -3], [0, 1, -10, 0], [6, 0, 0, 0], [0, 7, -6, 0], [0, 0, 4, 0], [0, 7, 3, 0], [0, 0, 0, 3], [0, -11, 0, 0], [0, -5, -6, 0], [8, 0, 0, 3], [0, -2, 6, 0], [0, 0, -7, 0], [7, 0, 0, -1], [0, -3, 10, 0], [20, 0, 0, 5], [0, 2, -7, 0], [0, -1, -4, 0], [-2, 0, 0, -6], [0, -6, 7, 0], [16, 0, 0, 5], [0, -1, 8, 0], [3, 0, 0, 0], [7, 0, 0, 4], [0, 0, 0, 4], [-1, 0, 0, -1], [-2, 0, 0, -5], [0, 2, -14, 0], [-14, 0, 0, -3], [0, 0, 7, 0], [-13, 0, 0, 3], [0, 5, -8, 0], [14, 0, 0, 0], [0, 1, -3, 0], [0, 8, -5, 0], [0, 0, 0, -3], [0, 7, -14, 0], [-22, 0, 0, -2], [18, 0, 0, -5], [0, 11, -1, 0], [21, 0, 0, -2], [0, 0, 0, -3], [0, -1, 6, 0], [-11, 0, 0, -2], [0, 13, -11, 0], [0, -1, -4, 0], [0, -8, 1, 0], [-8, 0, 0, 5], [4, 0, 0, 1], [0, 1, -4, 0], [0, 8, -2, 0], [0, 3, 14, 0], [2, 0, 0, 1], [-14, 0, 0, 0], [0, 10, -11, 0], [0, 15, -10, 0], [0, 8, 4, 0], [-14, 0, 0, 7], [20, 0, 0, 4], [11, 0, 0, -4], [0, -16, 10, 0], [0, 6, 5, 0], [0, -15, 10, 0], [-34, 0, 0, -2], [7, 0, 0, -2], [0, 8, 4, 0], [0, 5, 18, 0], [0, -8, 3, 0], [-14, 0, 0, -5], [-1, 0, 0, 3], [-17, 0, 0, 2], [14, 0, 0, 5], [0, 5, -7, 0], [0, 1, 20, 0], [2, 0, 0, -7], [0, -3, 9, 0], [-18, 0, 0, 1], [0, -6, -10, 0], [0, 0, 0, -7], [14, 0, 0, 0], [0, -3, -18, 0], [0, 0, -1, 0], [0, -4, -20, 0], [9, 0, 0, -8], [-14, 0, 0, 2], [-4, 0, 0, -5], [0, -18, 5, 0], [0, -7, 21, 0], [28, 0, 0, 7], [-28, 0, 0, -4], [0, 10, -10, 0], [0, 1, 20, 0], [-14, 0, 0, 5], [0, -2, 13, 0], [0, -5, 22, 0], [7, 0, 0, 11], [0, -8, -18, 0], [0, -18, 9, 0], [0, 20, -11, 0], [-12, 0, 0, -4], [-24, 0, 0, -7], [35, 0, 0, 4], [0, 8, 0, 0], [0, 0, 0, 1], [0, 12, -15, 0], [0, -12, 8, 0], [0, -1, 3, 0], [14, 0, 0, 7], [0, 3, 12, 0], [0, 2, 23, 0], [4, 0, 0, 9], [0, -1, 2, 0], [15, 0, 0, 7], [0, -1, 6, 0], [38, 0, 0, 1], [-35, 0, 0, 5], [-32, 0, 0, 3], [0, -5, -6, 0], [-28, 0, 0, -3], [-7, 0, 0, 1], [-22, 0, 0, 6], [12, 0, 0, -5], [0, 15, 3, 0], [-7, 0, 0, 2], [0, -2, -1, 0], [-42, 0, 0, -2], [0, 4, 16, 0], [0, -9, -4, 0], [0, 5, -22, 0], [21, 0, 0, 6], [0, 3, -16, 0], [0, 11, -18, 0], [-59, 0, 0, 0], [-14, 0, 0, 5], [0, 1, -28, 0], [0, -12, -6, 0], [10, 0, 0, -3], [7, 0, 0, -10], [0, -13, -10, 0], [0, -1, -24, 0], [19, 0, 0, -8], [0, 3, 12, 0], [0, 10, -6, 0], [0, -17, 18, 0], [31, 0, 0, -6], [-14, 0, 0, -2], [0, 21, -10, 0], [-21, 0, 0, 0], [-14, 0, 0, 2], [0, 7, -22, 0], [-28, 0, 0, 7], [0, 1, -38, 0], [-9, 0, 0, 3], [-14, 0, 0, -3], [0, -17, 2, 0], [-7, 0, 0, -15], [0, 9, -27, 0], [0, -12, -1, 0], [14, 0, 0, 3], [-28, 0, 0, 5], [0, -18, 19, 0], [21, 0, 0, 0], [0, 3, -30, 0], [0, 4, 16, 0], [-27, 0, 0, -2], [-28, 0, 0, 8], [-3, 0, 0, -12], [0, -15, 10, 0], [0, -17, 19, 0], [5, 0, 0, 13], [0, 21, -12, 0], [2, 0, 0, 9], [0, -10, -7, 0], [8, 0, 0, -5], [0, -1, 10, 0], [-28, 0, 0, -11], [16, 0, 0, -8], [19, 0, 0, 8], [0, -7, -3, 0], [0, 6, -19, 0], [-21, 0, 0, -16], [0, -3, 2, 0], [-62, 0, 0, 2], [0, 0, 0, 12], [0, 9, -6, 0], [42, 0, 0, -1], [0, -5, -26, 0], [27, 0, 0, 6], [0, 0, 32, 0], [14, 0, 0, -11], [0, -7, 29, 0], [0, 0, 0, 3], [2, 0, 0, 1], [0, 12, -22, 0], [0, -16, -8, 0], [49, 0, 0, 8], [0, -2, -29, 0], [-35, 0, 0, -3], [0, 21, -30, 0], [-24, 0, 0, 1], [-3, 0, 0, -10], [0, 4, -17, 0], [0, -12, 4, 0], [0, 1, -26, 0], [0, -2, 13, 0], [0, 21, -7, 0], [0, 0, 0, -13], [0, 22, -6, 0], [0, -7, 16, 0], [-14, 0, 0, 13], [-6, 0, 0, -12], [14, 0, 0, 12], [0, 15, 11, 0], [0, -15, -4, 0], [7, 0, 0, -2], [0, 3, -2, 0], [0, -19, 2, 0], [34, 0, 0, 7], [0, -12, 16, 0], [0, 3, -42, 0], [0, 27, -18, 0], [-53, 0, 0, -6], [-25, 0, 0, 0], [56, 0, 0, 1], [0, 6, 11, 0], [-30, 0, 0, 7], [0, 20, -10, 0], [-7, 0, 0, -7], [0, -20, -5, 0], [38, 0, 0, 1], [0, 35, -14, 0], [0, 12, 20, 0], [0, 0, 0, -11], [42, 0, 0, 12], [-23, 0, 0, 14], [0, -12, 7, 0], [0, -15, 10, 0], [28, 0, 0, -12], [0, -10, 2, 0], [-7, 0, 0, -18], [-28, 0, 0, -3], [0, 2, -2, 0], [70, 0, 0, 5], [0, 4, -2, 0], [0, -5, 10, 0], [0, 23, -6, 0], [-26, 0, 0, -7], [0, -21, 7, 0], [-4, 0, 0, -13], [0, -2, 6, 0], [0, -5, -6, 0], [35, 0, 0, 11], [20, 0, 0, -11], [0, 13, 10, 0], [0, 2, 11, 0], [16, 0, 0, -7], [-13, 0, 0, -8], [0, -24, 23, 0], [0, -9, 27, 0], [-21, 0, 0, -8], [0, 0, 0, -12], [12, 0, 0, 13], [0, 8, -20, 0], [15, 0, 0, -9], [28, 0, 0, 7], [0, -5, 22, 0], [49, 0, 0, 9], [0, -19, 29, 0], [0, 7, 14, 0], [-7, 0, 0, -16], [-24, 0, 0, 13], [0, 8, 21, 0], [0, -21, 14, 0], [0, 2, 22, 0], [64, 0, 0, 3], [0, 3, 40, 0], [14, 0, 0, -6], [0, -12, -19, 0], [-10, 0, 0, -1], [0, 7, 3, 0], [50, 0, 0, 4], [0, -11, -20, 0], [35, 0, 0, -9], [0, -11, 10, 0], [0, 1, 4, 0], [0, -8, -4, 0], [-21, 0, 0, 3], [34, 0, 0, 6], [0, 3, -16, 0], [-30, 0, 0, 10], [-21, 0, 0, 10], [0, -12, 29, 0], [14, 0, 0, 22], [0, -17, 28, 0], [70, 0, 0, -1], [0, 13, 10, 0], [27, 0, 0, 11], [0, 6, 39, 0], [-17, 0, 0, 10], [0, -16, -16, 0], [0, 0, 0, -13], [70, 0, 0, 5], [0, -9, 34, 0], [0, -3, 9, 0], [0, 6, 10, 0], [56, 0, 0, 1], [0, 22, 11, 0], [46, 0, 0, 7], [0, -4, -21, 0], [0, -3, 2, 0], [0, -22, 6, 0], [0, -7, -14, 0], [13, 0, 0, -7], [40, 0, 0, -7], [28, 0, 0, 3], [0, -18, 33, 0], [-62, 0, 0, 8], [14, 0, 0, 9], [0, 19, -22, 0], [84, 0, 0, 1], [20, 0, 0, 4], [0, -15, -10, 0], [56, 0, 0, 3], [0, 2, -38, 0], [-21, 0, 0, 6], [0, -2, -50, 0], [0, -21, 7, 0], [0, -9, 20, 0], [-14, 0, 0, -6], [0, 6, -45, 0], [-86, 0, 0, 3], [0, -11, 4, 0], [0, -4, 47, 0], [0, -15, 13, 0], [50, 0, 0, 12], [0, -15, 40, 0], [44, 0, 0, 11], [0, 5, 10, 0], [-46, 0, 0, -11], [0, -21, 42, 0], [56, 0, 0, -3], [49, 0, 0, 1], [-8, 0, 0, -20], [-3, 0, 0, 2], [21, 0, 0, 18], [0, -37, 20, 0], [0, 30, -13, 0], [0, 39, -28, 0], [-7, 0, 0, 22], [-28, 0, 0, 17], [0, -9, -8, 0], [-15, 0, 0, -15], [0, 28, -23, 0], [28, 0, 0, -1], [0, -21, 2, 0], [0, -39, 12, 0], [0, 20, 10, 0], [50, 0, 0, -11], [0, 32, -12, 0], [56, 0, 0, 13], [-66, 0, 0, 3], [0, 1, -22, 0], [0, 36, -16, 0], [0, -30, 15, 0], [-61, 0, 0, 10], [0, -5, -16, 0], [0, 23, -13, 0], [14, 0, 0, 14], [0, -12, 40, 0], [0, 33, -16, 0], [0, -35, 14, 0], [-65, 0, 0, -1], [42, 0, 0, -3], [-42, 0, 0, 11]], 'char_orbit_index': 1, 'field_poly': [16, 0, -11, 0, 1], 'hecke_orbit_code': 139611588482044708, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [6, 0, 0, 1], [0, 7, 4, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, -7, 0, 1], [-6, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 149511, 'label': '4900.2.a.bf', 'level': 4900, 'maxp': 2999, 'weight': 2}