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

Formats: - HTML - YAML - JSON - 2026-06-25T04:01:35.736595

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], [-2, 2], [0, 0], [-2, 1], [0, 0], [-2, 2], [0, 0], [0, -5], [0, 0], [-4, 0], [0, 0], [3, 3], [0, 0], [2, -6], [0, 0], [-3, -3], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [6, 6], [0, 0], [3, -4], [0, 0], [4, 4], [0, 0], [-2, 0], [0, 0], [0, -4], [0, 0], [8, -8], [0, 0], [2, -6], [0, 0], [3, -3], [0, 0], [-12, 0], [0, 0], [0, 0], [0, 0], [6, -6], [0, 0], [5, 10], [0, 0], [-6, 6], [0, 0], [0, -1], [0, 0], [12, 0], [0, 0], [-3, -3], [0, 0], [8, -4], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [0, 6], [0, 0], [10, 10], [0, 0], [-9, -3], [0, 0], [-6, -6], [0, 0], [-24, 0], [0, 0], [0, -12], [0, 0], [-5, 5], [0, 0], [2, 14], [0, 0], [8, -8], [0, 0], [-8, 0], [0, 0], [-1, 0], [0, 0], [-6, 6], [0, 0], [9, 3], [0, 0], [4, -4], [0, 0], [0, 0], [0, 0], [-12, 0], [0, 0], [8, 8], [0, 0], [0, 0], [0, 0], [11, 11], [0, 0], [0, 20], [0, 0]], 'ap': [[0, 0], [-2, 2], [-2, 1], [-2, 2], [-4, 0], [3, 3], [-3, -3], [0, 0], [6, 6], [-2, 0], [0, -4], [3, -3], [0, 0], [6, -6], [-6, 6], [-3, -3], [0, -8], [0, 6], [-6, -6], [0, -12], [-5, 5], [-8, 0], [-6, 6], [0, 0], [11, 11], [0, -4], [-2, -2], [-6, -6], [-12, 0], [-9, 9], [-2, 2], [4, 0], [-15, -15], [0, 0], [4, 0], [0, 12], [-3, 3], [6, -6], [-6, 6], [7, 7], [0, -16], [0, -12], [0, -12], [13, -13], [-15, 15], [24, 0], [12, 0], [-14, -14], [-2, -2], [-6, 0], [-3, 3], [0, 0], [0, 0], [4, 0], [-9, -9], [-6, -6], [-4, 0], [0, -12], [21, -21], [-24, 0], [-6, 6], [9, 9], [18, 18], [0, -12], [-1, 1], [7, -7], [-12, 0], [-7, -7], [-10, -10], [-30, 0], [9, -9], [24, 0], [-26, 26], [-9, -9], [0, 24], [-6, -6], [-4, 0], [-15, 15], [-18, 0], [0, -30], [0, 8], [0, 30], [0, 36], [11, -11], [-24, 0], [2, -2], [0, -6], [-1, -1], [0, -28], [14, 14], [30, 30], [-24, 0], [-10, 10], [20, 0], [0, -24], [6, 6], [34, 0], [6, 0], [-6, 6], [0, 36], [6, 6], [-21, 21], [-10, 10], [0, 30], [12, 0], [-17, -17], [6, 6], [-15, 15], [-24, 0], [-8, 0], [2, -2], [3, 3], [-27, -27], [0, 24], [0, 20], [0, 0], [-30, 30], [-18, 18], [-19, -19], [0, -40], [0, 18], [-29, 29], [-7, 7], [-18, 18], [12, 0], [0, 26], [6, 0], [0, 0], [-10, 10], [-33, -33], [0, -48], [-30, -30], [0, 4], [-3, 3], [42, 0], [0, -40], [-5, -5], [-6, -6], [-1, 1], [0, 24], [36, 0], [0, -2], [-10, -10], [14, 14], [-36, 0], [0, 0], [-21, -21], [9, 9], [0, -24], [-18, -18], [-27, 27], [24, 0], [-18, 18], [6, -6], [-30, -30], [0, 12], [56, 0], [0, 6], [13, 13], [0, -20], [-38, -38], [39, -39], [10, -10], [-52, 0], [3, 3], [-6, -6], [0, 12], [15, -15]], 'char_orbit_index': 15, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 962106229376, 'hecke_ring_character_values': [[511, [-1, 0]], [261, [-1, 0]], [257, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 46068, 'label': '640.2.o.a', 'level': 640, 'maxp': 997, 'weight': 2}