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

Formats: - HTML - YAML - JSON - 2026-08-25T03:43:41.587053

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], [-1, 0, 0, 0], [1, 0, 1, 0], [1, 0, 0, -1], [0, 1, 0, 0], [1, 0, 0, 0], [-1, -1, 0, -1], [1, 0, 0, 0], [1, -1, 1, 0], [-1, 0, -1, 1], [-1, 0, -1, 0], [2, -1, 1, 1], [0, -1, 0, 0], [-1, 0, 0, 1], [2, 1, 0, 0], [3, 1, -1, 0], [0, -1, 0, 0], [1, -2, -1, 1], [0, -3, 1, 1], [-1, 0, 0, 0], [0, 3, -1, 1], [-1, 0, 0, 0], [1, 1, 0, 1], [1, 1, -1, -3], [1, -4, 0, -1], [-1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, -2], [-1, 1, -1, 0], [1, 1, -1, 0], [-1, 0, -1, 2], [1, 0, 1, -1], [-2, -1, -1, 1], [1, 0, 0, -1], [1, 0, 1, 0], [5, 3, -1, 0], [6, 1, 1, 1], [-2, 1, -1, -1], [5, 0, 0, -1], [1, 0, 1, 1], [0, 1, 0, 0], [2, 3, 1, -1], [-7, 2, -2, -1], [1, 0, 0, -1], [0, 1, 0, 0], [2, -1, 0, 1], [-2, -1, 0, 0], [1, 0, 0, 0], [1, 1, 2, 1], [-3, -1, 1, 0], [9, 1, 3, -2], [-1, 1, -2, 2], [0, 1, 0, 0], [-5, 2, 0, 1], [-1, -1, 0, -1], [-1, 2, 1, -1], [-2, -3, 1, -1], [-1, 7, 0, -2], [0, 3, -1, -1], [6, -2, -1, 0], [-2, 1, -1, 1], [1, 0, 0, 0], [-5, 1, -2, 1], [-3, -5, 3, 2], [0, -3, 1, -1], [1, 2, 0, 3], [-3, 2, 2, 1], [1, 0, 0, 0], [1, -1, 1, 0], [-4, -1, 1, 1], [-1, -1, 0, -1], [5, -1, 1, 4], [-8, -3, -3, 1], [-1, -1, 1, 3], [-7, -4, 0, -3], [-1, 0, -1, 1], [-1, 4, 0, 1], [-3, -1, 1, -2], [1, 1, -1, -2], [1, 0, 0, 0], [-2, -3, -1, -1], [1, 1, 3, -4], [-1, 0, -1, 0], [3, 4, -2, -5], [-9, -4, -2, -1], [-1, -1, -1, 2], [-3, 5, 1, 0], [0, -1, 1, 3], [1, -1, 1, 0], [2, -1, 1, 1], [-1, 0, -1, 0], [-1, -1, 1, 0], [2, -2, 0, 0], [-1, 0, 2, -1], [1, 0, 1, -2], [-1, 3, -1, -2], [0, -1, 0, 0], [-1, 0, -1, 1], [-8, -7, 0, 4]], 'ap': [[0, -1, 0, 0], [-1, 0, 0, 0], [1, 0, 0, -1], [1, 0, 0, 0], [-1, 0, -1, 1], [2, -1, 1, 1], [3, 1, -1, 0], [1, -2, -1, 1], [-1, 0, 0, 0], [1, 1, 1, -2], [1, 1, -1, 0], [5, 3, -1, 0], [1, 0, 1, 1], [2, 3, 1, -1], [2, -1, 0, 1], [-1, 1, -2, 2], [-1, 7, 0, -2], [6, -2, -1, 0], [1, 2, 0, 3], [-4, -1, 1, 1], [5, -1, 1, 4], [-3, -1, 1, -2], [1, 1, 3, -4], [0, -1, 1, 3], [-1, 3, -1, -2], [-3, 3, 2, 2], [2, 3, -6, 1], [-8, 1, -1, -1], [5, -6, -2, 1], [-7, 0, 2, -1], [0, -10, 1, 4], [7, -2, 3, -1], [7, 0, 3, -5], [9, -4, 2, 1], [-2, 5, -2, 1], [-6, -5, 4, -3], [4, -3, 0, 3], [3, -1, 6, -2], [1, 0, 1, 3], [9, -3, 1, 2], [-3, -8, 2, 1], [-1, -1, 3, -2], [-6, 3, 0, 5], [0, -3, 4, -5], [4, -3, -1, 5], [-1, -3, 0, 0], [5, 2, -1, 9], [-3, 10, 2, -1], [-3, -2, 2, -9], [5, 11, 0, -2], [-3, 4, 0, 3], [-23, 2, 0, -1], [-1, -2, 3, 1], [-10, -6, 0, -4], [2, -7, -2, -3], [-1, -2, -7, -1], [0, 3, -3, 3], [1, -3, 1, -8], [14, 2, -3, 0], [-10, -2, -6, 6], [-13, 2, -4, -3], [4, -8, 2, 2], [3, -7, -3, 2], [-6, 0, 9, 0], [14, 5, 0, 1], [7, -2, 4, 3], [-4, 3, -4, -5], [-2, -3, -1, -5], [3, -1, -7, 0], [-1, 4, 2, 5], [7, 3, 3, 6], [-3, 18, 0, -5], [-4, 14, 1, -8], [-3, -5, 7, 0], [0, 2, 4, -2], [-13, -1, -3, 4], [9, -9, -1, 8], [-8, -8, 0, -6], [-11, -2, -1, -1], [-9, -7, 5, 0], [3, 10, 2, 1], [0, 7, -1, -5], [-14, -14, 7, -2], [-4, 3, 4, -11], [-7, 11, 3, 2], [0, -8, 0, -4], [-5, 6, 4, -5], [-5, 0, -6, 1], [3, -6, -8, 3], [-3, 4, 9, 3], [-1, 3, 5, 0], [3, -1, -1, 0], [-3, -7, -3, -8], [-10, -9, 7, -5], [15, 4, -6, 7], [-7, -4, -2, 5], [-10, 1, -2, -3], [-14, 4, -4, -4], [20, 7, 4, -9], [6, 1, -6, 5], [7, -4, -2, -1], [-10, 2, 6, -2], [10, -3, -5, 5], [2, 7, 4, 7], [-21, -1, -1, -4], [-6, 12, -4, -4], [8, 4, -13, 2], [14, -6, -2, -6], [2, 15, -5, -5], [-25, 8, 0, -7], [14, -3, -1, 13], [11, 7, -5, 10], [-10, -3, -5, 3], [-6, -3, 7, -11], [19, 3, 9, -8], [-18, 0, 3, 6], [16, 0, 1, -6], [7, -2, 4, -7], [9, 4, 4, 3], [-27, 1, -3, -4], [-11, -14, 1, 3], [-9, -8, -5, 11], [10, -15, -3, 3], [13, 3, -1, 10], [18, -5, 1, 7], [5, 9, 10, -8], [18, -3, -1, -5], [-13, -11, -7, 10], [31, -10, -3, -1], [-2, 22, 2, -6], [-9, -7, 5, -2], [-1, 13, -6, -4], [9, 12, -6, 5], [-1, -1, -11, 2], [14, -11, 4, 1], [2, -6, -2, 6], [11, -1, -7, -2], [7, -13, 4, 10], [-12, 4, 8, -6], [-2, 5, 15, -5], [-5, 1, -9, 6], [20, -10, -8, -4], [3, 3, 0, 10], [9, 3, 0, 4], [-23, -5, 3, -4], [-12, -7, -7, 3], [-2, -8, 6, 4], [-8, -1, -4, -3], [10, 18, -6, -4], [6, -2, 8, -4], [-26, 11, -4, -5], [-2, -10, -2, -2], [-4, 9, 3, 11], [-20, 5, 3, -5], [-7, 4, 6, -7], [-20, -2, -6, -10], [11, -13, -7, 0], [-1, -12, 10, 1], [-13, 0, -3, 11], [-8, 0, 2, 6], [2, 6, 2, 8], [8, -12, -7, 8], [10, 6, -6, -4], [26, 1, 1, 5], [14, -2, 7, 12], [19, -1, 5, -4], [-8, 8, -5, 10], [1, 21, -5, -10]], 'char_orbit_index': 1, 'field_poly': [2, -1, -6, 0, 1], 'hecke_orbit_code': 36028797052518883, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [1, 5, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [-1, -5, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 37799, 'label': '483.2.a.i', 'level': 483, 'maxp': 997, 'weight': 2}