Database - mf_hecke_nf

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Table mf_hecke_nf

Hecke eigenvalues of Galois orbits of newforms

Column	Type	Example
an	jsonb	[[1, 0], [1, 0], [-1, 0], [-1, 0], [-1, 1], [-1, 0], [3, -2], [-3, 0], [1, 0], [-1, 1], [-1, 1], [1,...
ap	jsonb	[[1, 0], [-1, 0], [-1, 1], [3, -2], [-1, 1], [0, 1], [0, 7], [5, -5], [0, 9], [-2, 0], [-3, 3], [-7,...
char_orbit_index	smallint	12
field_poly	numeric[]	[1, -1, 1]
hecke_orbit_code	bigint	9007955202540297
hecke_ring_character_values	jsonb	[[260, [1, 0]], [556, [0, -1]], [631, [0, -1]]]
hecke_ring_cyclotomic_generator	integer	0
hecke_ring_denominators	numeric[]
hecke_ring_inverse_denominators	numeric[]
hecke_ring_inverse_numerators	numeric[]
hecke_ring_numerators	numeric[]
hecke_ring_power_basis	boolean	True
hecke_ring_rank	integer	2
label	text	'777.2.l.c'
level	integer	777
maxp	integer	997
weight	smallint	2

{'an': [[1, 0], [0, 0], [-1, -1], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [1, 3], [0, 0], [2, -2], [0, 0], [-4, 2], [0, 0], [-1, 0], [0, 0], [-1, 0], [0, 0], [-6, 0], [0, 0], [-1, -1], [0, 0], [0, 2], [0, 0], [2, -3], [0, 0], [-7, -4], [0, 0], [-6, 2], [0, 0], [-8, -1], [0, 0], [4, 2], [0, 0], [-2, 1], [0, 0], [2, -4], [0, 0], [-2, 0], [0, 0], [3, -5], [0, 0], [-3, 1], [0, 0], [7, -2], [0, 0], [10, 0], [0, 0], [1, 0], [0, 0], [1, 1], [0, 0], [2, 1], [0, 0], [-10, 4], [0, 0], [6, 6], [0, 0], [0, -4], [0, 0], [-3, 1], [0, 0], [1, 3], [0, 0], [14, -6], [0, 0], [4, 1], [0, 0], [-6, -4], [0, 0], [-2, 0], [0, 0], [-7, 5], [0, 0], [7, 4], [0, 0], [2, -2], [0, 0], [-6, 0], [0, 0], [16, 6], [0, 0], [4, -4], [0, 0], [2, -1], [0, 0], [0, 2], [0, 0], [-2, 0], [0, 0], [-4, 2], [0, 0], [11, 10], [0, 0], [12, -6], [0, 0], [-6, -3], [0, 0], [-16, -2], [0, 0]], 'ap': [[0, 0], [-1, -1], [-2, 1], [1, 0], [2, -2], [-4, 2], [-1, 0], [-6, 0], [0, 2], [-6, 2], [-8, -1], [2, -4], [3, -5], [-3, 1], [10, 0], [2, 1], [0, -4], [-3, 1], [4, 1], [-2, 0], [-7, 5], [-6, 0], [4, -4], [-2, 0], [-6, -3], [-2, 8], [8, -4], [-12, -2], [-2, 0], [14, -4], [4, 7], [0, 8], [-7, -3], [-8, -5], [1, -3], [5, -7], [-8, -6], [-14, 6], [7, 7], [1, -3], [15, 3], [-6, 12], [-12, 9], [-8, -2], [-10, 10], [7, -5], [-14, 10], [-6, 12], [4, 3], [2, 6], [8, -4], [-11, 1], [10, -3], [14, 4], [-6, 6], [12, -8], [-6, 0], [-24, 6], [12, -10], [-18, -1], [8, 1], [-6, -6], [-26, 0], [-4, 9], [6, 9], [-10, 2], [-12, -9], [16, 4], [6, 0], [14, -4], [2, -2], [-24, -5], [15, -9], [11, -1], [-10, 14], [10, 10], [-18, -3], [-10, -3], [24, 0], [10, 10], [0, 1], [3, 3], [-2, -16], [-4, -12], [1, 1], [0, 8], [-14, 14], [10, 3], [4, -4], [17, -15], [12, -4], [-23, 1], [-2, -12], [32, 1], [-6, 0], [20, 7], [6, 2], [-7, -11], [4, -10], [-4, -6], [-16, 18], [6, -4], [14, -14], [-35, 5], [-18, 12], [26, -10], [-12, 4], [-6, -12], [-13, 15], [14, -4], [-20, -3], [-14, 13], [2, -2], [-8, 0], [4, -7], [-18, -8], [13, -11], [-30, -2], [2, 0], [-12, -15], [0, -12], [0, 16], [22, 0], [2, 10], [3, -1], [-6, 4], [-32, -6], [-9, -5], [18, -24], [0, 12], [-21, 3], [-36, -2], [-46, 4], [27, 3], [44, -2], [4, -6], [14, 16], [-4, 8], [20, 4], [22, -18], [-11, 21], [30, -8], [8, 10], [-2, -16], [-32, -2], [16, -4], [-14, 4], [6, -5], [-30, 12], [-8, -13], [-14, -6], [2, 7], [44, -9], [-24, -9], [-14, -8], [0, 8], [-17, -5], [-26, -1], [-20, 4], [-15, -11], [2, -14], [2, -19], [-19, 1], [-2, 14], [6, -5], [8, -5], [6, 0], [29, -3]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 33554908, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 37522, 'label': '476.2.a.a', 'level': 476, 'maxp': 997, 'weight': 2}