Database - mf_hecke_nf

Formats: - HTML - YAML - JSON - 2026-10-25T07:46:25.983985

Query: /api/mf_hecke_nf/?_offset=0

Table mf_hecke_nf

Hecke eigenvalues of Galois orbits of newforms

Column	Type	Example
an	jsonb	[[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [0, 1], [0, 0], [-...
ap	jsonb	[[0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [-2, 1], [-2, -1], [0, 0], [-4, 1], [0, 0], [4, 1], [0, 0],...
char_orbit_index	smallint	1
field_poly	numeric[]	[-32, -1, 1]
hecke_orbit_code	bigint	9007199288302820
hecke_ring_character_values	jsonb
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	'7396.2.a.c'
level	integer	7396
maxp	integer	2999
weight	smallint	2

{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 1], [0, 0, 0, 0], [-2, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, -3, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, -1], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, -1, 0], [0, 0, 0, 0], [0, 2, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, -1], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 2, 0], [0, 0, 0, 0], [0, 3, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, -2, 0], [0, 0, 0, 0], [0, -7, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -7, 2, 0], [0, 0, 0, 0], [0, 3, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, 1], [0, 0, 0, 0], [3, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 2, 0], [0, 0, 0, 0], [0, 7, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 4, 0], [0, 0, 0, 0], [0, -9, 5, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, 3], [0, 0, 0, 0], [4, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 1, -1, 0], [1, 0, 0, 1], [-2, 0, 0, 1], [0, 1, 0, 0], [0, -3, -1, 0], [3, 0, 0, -1], [0, 2, -1, 0], [0, 2, -2, 0], [-2, 0, 0, -1], [0, 2, 2, 0], [0, 3, 1, 0], [8, 0, 0, 0], [0, -2, -2, 0], [8, 0, 0, 0], [-6, 0, 0, -1], [0, 3, 1, 0], [5, 0, 0, 1], [3, 0, 0, 2], [0, 7, 1, 0], [6, 0, 0, -2], [0, -1, 4, 0], [4, 0, 0, 2], [0, 8, 0, 0], [0, 2, 6, 0], [2, 0, 0, 2], [-10, 0, 0, 1], [0, 5, -4, 0], [0, -9, 1, 0], [1, 0, 0, 1], [0, -5, 0, 0], [0, 2, -2, 0], [0, -4, -3, 0], [0, 2, 6, 0], [-16, 0, 0, 1], [0, -4, -4, 0], [11, 0, 0, -1], [0, 6, 3, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-3, 0, 0, 1], [-3, 0, 0, 2], [0, -10, -1, 0], [0, -4, 4, 0], [0, 5, -1, 0], [0, -1, -7, 0], [3, 0, 0, 3], [-10, 0, 0, -3], [0, -3, -6, 0], [-18, 0, 0, -2], [1, 0, 0, 0], [9, 0, 0, 1], [0, 1, 2, 0], [12, 0, 0, 4], [0, 8, 3, 0], [0, 3, -3, 0], [-2, 0, 0, 4], [0, -5, 6, 0], [0, -4, 4, 0], [0, -4, 3, 0], [0, 2, 6, 0], [6, 0, 0, -2], [19, 0, 0, 0], [0, -2, 9, 0], [0, -7, -5, 0], [8, 0, 0, -2], [-31, 0, 0, 1], [-8, 0, 0, -2], [0, -12, 4, 0], [1, 0, 0, 5], [0, -6, 6, 0], [14, 0, 0, 0], [0, 6, 2, 0], [11, 0, 0, -1], [0, 10, -6, 0], [4, 0, 0, -3], [0, -3, -2, 0], [7, 0, 0, -2], [-2, 0, 0, -2], [-4, 0, 0, -1], [-30, 0, 0, 2], [-5, 0, 0, 4], [0, 0, 8, 0], [0, 0, 0, -8], [0, 14, -2, 0], [-1, 0, 0, -2], [0, -6, -6, 0], [0, 4, 4, 0], [10, 0, 0, 2], [9, 0, 0, -3], [0, 14, 2, 0], [1, 0, 0, 1], [0, -15, 3, 0], [-6, 0, 0, 2], [0, 10, -6, 0], [0, -6, -6, 0], [0, 17, 3, 0], [-20, 0, 0, -5], [0, -8, 0, 0], [0, 18, -1, 0], [-24, 0, 0, 0], [0, 15, 2, 0], [0, 0, 8, 0], [9, 0, 0, -2], [9, 0, 0, 1], [0, 7, 0, 0], [-22, 0, 0, 2], [13, 0, 0, 6], [0, -7, 7, 0], [30, 0, 0, 0], [0, -3, -6, 0], [0, 14, -6, 0], [0, 10, -2, 0], [0, -5, 4, 0], [0, 6, -6, 0], [-9, 0, 0, -5], [0, -18, -2, 0], [-21, 0, 0, 3], [2, 0, 0, 3], [-31, 0, 0, -2], [0, -6, 10, 0], [24, 0, 0, 0], [0, -11, -1, 0], [0, -2, 9, 0], [22, 0, 0, -3], [-25, 0, 0, -5], [0, -5, -3, 0], [14, 0, 0, -4], [0, 0, -16, 0], [12, 0, 0, -4], [0, -5, -11, 0], [18, 0, 0, 0], [0, -13, 0, 0], [13, 0, 0, 2], [0, -8, 9, 0], [0, -5, 9, 0], [0, 12, 9, 0], [0, -23, -2, 0], [0, 4, -4, 0], [0, -2, 5, 0], [0, 20, -4, 0], [-5, 0, 0, 3], [-10, 0, 0, 4], [-31, 0, 0, -3], [18, 0, 0, -4], [0, 17, -2, 0], [0, -16, -8, 0], [-1, 0, 0, 11], [-8, 0, 0, -7], [0, 10, -6, 0], [0, -10, 10, 0], [-21, 0, 0, -1], [0, 2, -10, 0], [27, 0, 0, -1], [0, -13, -3, 0], [0, 9, 0, 0], [-7, 0, 0, 2], [0, -6, 7, 0], [-15, 0, 0, -7], [0, -19, -6, 0], [0, 13, 3, 0], [13, 0, 0, -3], [0, -14, 2, 0], [30, 0, 0, 6], [0, -9, 1, 0], [24, 0, 0, -3], [1, 0, 0, 0], [0, -2, -2, 0], [0, 0, 0, 0], [-36, 0, 0, -3], [46, 0, 0, -2], [-11, 0, 0, -8], [0, -29, 5, 0], [0, -2, -2, 0], [0, -5, 1, 0], [0, -14, 9, 0], [0, -14, -10, 0], [-8, 0, 0, 9], [0, 14, 10, 0], [1, 0, 0, -7], [-14, 0, 0, 9], [0, -10, -10, 0], [12, 0, 0, 4], [0, -2, 13, 0], [-30, 0, 0, -3], [0, -9, 13, 0], [-10, 0, 0, 0], [33, 0, 0, -3], [-53, 0, 0, -2], [-2, 0, 0, -2], [0, -3, -17, 0], [0, -28, 1, 0], [-1, 0, 0, -9], [0, 4, -12, 0], [19, 0, 0, 4], [22, 0, 0, 4], [0, 13, -4, 0], [41, 0, 0, -3], [0, -14, -3, 0], [0, 3, -11, 0], [32, 0, 0, 2], [-15, 0, 0, 0], [-11, 0, 0, 5], [0, -10, 6, 0], [0, -21, 5, 0], [26, 0, 0, 2], [0, 10, 10, 0], [0, -17, 13, 0], [-16, 0, 0, 10], [0, 10, 3, 0], [0, -21, -3, 0], [27, 0, 0, 3], [-10, 0, 0, -2], [-24, 0, 0, -6], [0, 15, 1, 0], [0, -1, -2, 0], [22, 0, 0, 6], [0, 6, 9, 0], [14, 0, 0, -3], [0, -9, 1, 0], [0, -5, 18, 0], [0, 6, 2, 0], [-12, 0, 0, 4], [26, 0, 0, 3], [0, -10, 6, 0], [-3, 0, 0, -7], [0, 12, -4, 0], [58, 0, 0, 2], [28, 0, 0, -5], [0, -1, -11, 0], [0, 11, 5, 0], [0, -7, 6, 0], [0, -10, -14, 0], [4, 0, 0, 12], [-31, 0, 0, 0], [0, 4, 12, 0], [6, 0, 0, -10], [1, 0, 0, -3], [33, 0, 0, 1], [0, -1, -3, 0], [0, -18, -6, 0], [30, 0, 0, -8], [0, 18, -14, 0], [1, 0, 0, 13], [0, -5, -19, 0], [21, 0, 0, 5], [0, 14, 2, 0], [14, 0, 0, -10], [6, 0, 0, 1], [0, 5, 20, 0], [0, 0, 0, -8], [51, 0, 0, 2], [0, 10, -1, 0], [-3, 0, 0, 5], [-18, 0, 0, -3], [0, 5, -1, 0], [0, -2, -3, 0], [-8, 0, 0, 10], [0, -24, 8, 0], [-6, 0, 0, -6], [-4, 0, 0, 15], [16, 0, 0, -10], [0, -12, -12, 0], [0, 38, 2, 0], [0, 6, 19, 0], [0, 25, 14, 0], [0, 30, 10, 0], [0, -2, -27, 0], [-16, 0, 0, 9], [0, -13, 17, 0], [-28, 0, 0, -6], [0, -32, 0, 0], [-23, 0, 0, 0], [0, 14, -6, 0], [40, 0, 0, -8], [-40, 0, 0, 9], [13, 0, 0, -2], [-10, 0, 0, -2], [60, 0, 0, 4], [0, 14, -14, 0], [-4, 0, 0, -4], [-54, 0, 0, 3], [0, -18, 2, 0], [6, 0, 0, 14], [43, 0, 0, -2], [0, 6, -10, 0], [0, 27, 5, 0], [0, -9, -26, 0], [0, 2, 18, 0], [21, 0, 0, -11], [0, 7, 18, 0], [-46, 0, 0, 2], [-6, 0, 0, -9], [0, 34, -9, 0], [0, 0, -16, 0], [0, 12, 21, 0], [-3, 0, 0, -11], [0, -26, 10, 0], [13, 0, 0, 6], [0, 0, 8, 0], [0, -5, 13, 0], [-5, 0, 0, 11], [0, 2, -10, 0], [-56, 0, 0, -2], [9, 0, 0, -7], [30, 0, 0, -4], [12, 0, 0, 12], [-16, 0, 0, -3], [-15, 0, 0, -11], [0, -2, -2, 0], [0, -1, -10, 0], [0, 19, 17, 0], [-42, 0, 0, 6], [4, 0, 0, -6], [-54, 0, 0, 2], [10, 0, 0, 2], [7, 0, 0, 2], [0, 6, 6, 0], [0, -2, 18, 0], [-4, 0, 0, 6], [0, -24, 11, 0], [0, 14, 2, 0], [0, -14, 18, 0], [25, 0, 0, -8], [0, 7, -3, 0], [0, -27, -9, 0], [7, 0, 0, -5], [0, -2, -2, 0], [-2, 0, 0, 12], [0, 22, 11, 0], [0, -8, -8, 0], [29, 0, 0, 5], [0, -3, 23, 0], [28, 0, 0, 4], [-42, 0, 0, 3], [0, 31, -2, 0], [44, 0, 0, 2], [0, 18, 6, 0], [2, 0, 0, 11], [0, -10, -26, 0], [0, -14, -5, 0], [0, -34, 2, 0], [0, 28, -1, 0], [-81, 0, 0, -1], [0, 0, 0, 3], [0, -14, 22, 0], [26, 0, 0, 2], [0, -2, 5, 0], [0, 17, -5, 0], [29, 0, 0, 8], [0, -34, 1, 0], [0, -27, 3, 0], [-24, 0, 0, -11], [0, -27, 0, 0], [18, 0, 0, -14], [51, 0, 0, -5], [0, -2, -34, 0], [31, 0, 0, -5], [4, 0, 0, -7], [0, -13, 0, 0], [25, 0, 0, 5], [-56, 0, 0, 0], [0, 44, -4, 0], [1, 0, 0, 10], [0, 38, 6, 0], [0, 0, -16, 0], [34, 0, 0, 8], [-15, 0, 0, -7], [0, -5, -7, 0], [-6, 0, 0, -14], [0, 24, -9, 0], [0, -16, 8, 0], [-40, 0, 0, 7], [-15, 0, 0, -7], [-38, 0, 0, 10], [-1, 0, 0, 0], [0, 8, 24, 0], [-15, 0, 0, -4], [0, 6, 9, 0], [0, 25, 20, 0], [0, -10, 2, 0], [0, 33, 0, 0], [0, -27, 7, 0], [25, 0, 0, -3], [0, -32, 0, 0], [-28, 0, 0, 7], [0, 43, 1, 0], [22, 0, 0, 14], [23, 0, 0, 2], [0, 18, -23, 0], [-81, 0, 0, -1], [0, -5, -23, 0], [-32, 0, 0, 8], [-3, 0, 0, 0], [0, 17, 7, 0], [0, -5, 6, 0], [0, -1, -19, 0], [0, -6, -13, 0], [-56, 0, 0, -7], [0, 2, -30, 0], [0, -3, -5, 0], [0, 19, 6, 0], [0, 12, 13, 0], [0, 11, 5, 0], [-40, 0, 0, 7], [0, 11, -22, 0], [0, -13, 9, 0], [20, 0, 0, -12], [43, 0, 0, -4], [0, 10, -13, 0], [-33, 0, 0, -1], [0, 4, -12, 0], [37, 0, 0, -8], [0, -28, 1, 0], [22, 0, 0, -2], [0, 22, -22, 0], [0, -19, -2, 0], [-28, 0, 0, 12], [0, -12, -4, 0], [-16, 0, 0, -2], [2, 0, 0, 2], [-36, 0, 0, 12], [-1, 0, 0, -20], [0, -16, -19, 0], [-18, 0, 0, -2], [0, 25, 20, 0], [0, 42, -2, 0], [42, 0, 0, -6]], 'char_orbit_index': 1, 'field_poly': [1, 0, -5, 0, 1], 'hecke_orbit_code': 99079191835707936, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 1, 0], [5, 0, 0, 1], [0, 3, 2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, -4, 0, 1], [0, 6, 0, -1], [-5, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 109668, 'label': '2592.2.a.w', 'level': 2592, 'maxp': 2999, 'weight': 2}