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, 0], [0, 0, 0], [0, 0, 1], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [0, -1, -...
ap	jsonb	[[0, 0, 0], [0, 0, 1], [-1, 0, 0], [-1, 0, 0], [1, 0, 0], [0, 0, -1], [-2, 4, 1], [0, -2, -4], [-3, ...
char_orbit_index	smallint	1
field_poly	numeric[]	[1, -3, -1, 1]
hecke_orbit_code	bigint	27021597797778948
hecke_ring_character_values	jsonb
hecke_ring_cyclotomic_generator	integer	0
hecke_ring_denominators	numeric[]	[1, 1, 1]
hecke_ring_inverse_denominators	numeric[]	[1, 1, 1]
hecke_ring_inverse_numerators	numeric[]	[[1, 0, 0], [0, 1, 0], [2, 1, 1]]
hecke_ring_numerators	numeric[]	[[1, 0, 0], [0, 1, 0], [-2, -1, 1]]
hecke_ring_power_basis	boolean	False
hecke_ring_rank	integer	3
label	text	'1540.2.a.g'
level	integer	1540
maxp	integer	2999
weight	smallint	2

{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [-1, 1], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [4, -2], [0, 0], [3, 0], [0, 0], [1, 0], [0, 0], [4, -2], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [-1, -1], [0, 0], [3, -2], [0, 0], [0, 0], [0, 0], [3, -1], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [0, 2], [0, 0], [-6, 2], [0, 0], [0, -3], [0, 0], [6, -1], [0, 0], [3, 0], [0, 0], [2, -2], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [-5, -1], [0, 0], [0, 0], [0, 0], [-6, 2], [0, 0], [4, -4], [0, 0], [-4, 3], [0, 0], [0, 1], [0, 0], [-10, 4], [0, 0], [-3, -1], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [-4, 3], [0, 0], [-3, -2], [0, 0], [0, 0], [0, 0], [10, -2], [0, 0], [-6, -2], [0, 0], [6, 0], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [-14, 2], [0, 0], [4, -2], [0, 0], [-3, 2], [0, 0], [-10, 4], [0, 0], [-5, 1], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 1], [-1, 1], [1, 0], [0, 0], [4, -2], [1, 0], [4, -2], [0, 0], [0, 0], [3, -1], [0, 2], [0, -3], [6, -1], [2, -2], [-5, -1], [4, -4], [-4, 3], [-3, -1], [0, 6], [-4, 3], [10, -2], [6, 0], [-14, 2], [-5, 1], [12, -6], [-2, 4], [-4, -2], [-2, -8], [2, -2], [11, -3], [-16, 4], [-14, -1], [11, 3], [6, -9], [-2, 7], [-2, 4], [10, -2], [-12, 9], [16, -1], [6, -3], [14, 0], [9, -9], [-4, 6], [-2, 2], [12, -7], [-8, 10], [4, 10], [-1, -5], [16, 4], [-6, 6], [10, -1], [15, 5], [12, 6], [-2, -4], [-8, 8], [10, -4], [4, 4], [-12, 8], [5, 1], [-3, 5], [-6, 12], [4, 4], [-11, -7], [19, -11], [-6, 0], [7, 1], [-16, 0], [-30, 0], [24, -4], [0, 12], [3, -3], [-8, -11], [-14, 13], [-12, -4], [8, -8], [-1, 7], [-5, 13], [-14, 2], [-24, 2], [-11, 5], [-14, 13], [0, 12], [-4, -6], [-4, 3], [-16, 4], [-14, 14], [-7, -3], [-24, 6], [-18, -1], [-12, 18], [8, -5], [0, -4], [-11, 11], [12, 8], [-1, -17], [2, 10], [12, -21], [16, 4], [16, -20], [-26, 4], [18, -12], [-12, 12], [14, 7], [4, 10], [10, -14], [-8, 2], [36, -6], [14, -23], [-22, 0], [-15, 5], [7, -17], [-24, 0], [-28, 12], [1, 7], [8, 16], [16, -17], [8, -8], [2, -20], [37, -1], [-22, -6], [-28, -6], [38, -8], [18, -18], [36, 5], [2, 16], [20, 6], [-28, 1], [-12, 8], [-12, 14], [2, 21], [-6, -6], [16, -2], [-34, 9], [30, -6], [-22, 24], [18, -6], [-8, -8], [-10, -8], [38, -2], [8, 3], [-8, 2], [10, -26], [12, -12], [-24, 2], [8, -8], [-6, 8], [-15, 15], [14, -18], [15, -3], [-30, 2], [-11, -1], [-29, -11], [-45, 3], [-2, 16], [30, -6], [10, -11], [37, -13], [-12, -4], [-12, -9], [28, -16], [11, -5], [10, -5], [16, -16], [-11, 17], [27, 3], [14, 0], [-8, -17]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 13510798915666396, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 37525, 'label': '476.2.a.d', 'level': 476, 'maxp': 997, 'weight': 2}