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

Formats: - HTML - YAML - JSON - 2026-08-26T00:01:30.781125

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], [1, 0], [-1, 1], [1, 0], [0, -1], [-1, 1], [-2, 0], [1, 0], [1, -2], [0, -1], [3, -1], [-1, 1], [0, 2], [-2, 0], [-3, 1], [1, 0], [-6, 1], [1, -2], [3, 1], [0, -1], [2, -2], [3, -1], [-3, 1], [-1, 1], [-2, 0], [0, 2], [-4, 0], [-2, 0], [0, -5], [-3, 1], [-3, -1], [1, 0], [-6, 4], [-6, 1], [0, 2], [1, -2], [0, 0], [3, 1], [6, -2], [0, -1], [-3, 4], [2, -2], [-6, -4], [3, -1], [6, -1], [-3, 1], [3, -1], [-1, 1], [-3, 0], [-2, 0], [9, -7], [0, 2], [6, 2], [-4, 0], [3, -3], [-2, 0], [0, 2], [0, -5], [-6, -2], [-3, 1], [0, 1], [-3, -1], [-2, 4], [1, 0], [-6, 0], [-6, 4], [5, -3], [-6, 1], [6, -4], [0, 2], [0, -2], [1, -2], [-4, 0], [0, 0], [2, -2], [3, 1], [-6, 2], [6, -2], [-15, -1], [0, -1], [1, 2], [-3, 4], [3, 5], [2, -2], [-3, 6], [-6, -4], [-15, 5], [3, -1], [-12, -3], [6, -1], [0, -4], [-3, 1], [0, -2], [3, -1], [-3, -3], [-1, 1], [-6, 1], [-3, 0], [9, -7], [-2, 0]], 'ap': [[1, 0], [-1, 1], [0, -1], [-2, 0], [3, -1], [0, 2], [-6, 1], [3, 1], [-3, 1], [0, -5], [-3, -1], [0, 0], [-3, 4], [-6, -4], [3, -1], [6, 2], [-6, -2], [0, 1], [5, -3], [0, -2], [-4, 0], [-15, -1], [3, 5], [-12, -3], [-6, 1], [-9, 2], [-12, -2], [0, 6], [6, 5], [0, 2], [-13, -3], [15, 3], [9, 6], [5, -9], [-9, 4], [1, 3], [1, 0], [6, -4], [0, 8], [-9, -2], [-6, 2], [1, 6], [3, 3], [-6, 3], [3, -2], [0, 6], [8, 6], [11, -3], [3, 1], [17, -6], [-15, 0], [0, -10], [12, -2], [0, 10], [-12, -3], [-18, 2], [6, 6], [13, 9], [-6, 3], [12, -9], [-6, -8], [9, 6], [22, 0], [-18, 0], [-12, 7], [3, 6], [0, 0], [1, -18], [-3, -7], [1, -6], [-18, 1], [18, -10], [2, -6], [-7, 0], [-14, 12], [0, 2], [0, 15], [23, 0], [0, 6], [-12, -13], [-18, -8], [0, 7], [9, -5], [-5, -12], [-6, -14], [18, 2], [24, 2], [-12, 15], [36, -2], [-30, 0], [6, 2], [-6, 2], [3, 11], [21, -3], [15, -3], [15, -3], [3, -2], [-12, -4], [-9, -17], [0, 11], [33, -5], [-6, -17], [3, -9], [-18, -7], [1, -21], [-6, -4], [-21, 7], [9, -20], [39, -5], [-23, -6], [9, 19], [13, 12], [-30, -10], [-20, 6], [-9, 15], [15, 8], [-15, -1], [-30, -4], [18, -15], [6, -2], [0, 1], [16, 0], [-27, 4], [24, 2], [-1, 15], [-12, 4], [-18, -16], [39, 1], [-12, 16], [-8, -24], [-17, 9], [21, 13], [-40, -6], [-12, 3], [-15, -10], [24, 6], [27, -4], [-10, 18], [-12, -12], [12, 16], [10, -6], [6, 2], [29, 3], [12, 8], [0, -6], [27, -15], [-12, -1], [6, 5], [-30, 0], [-6, -6], [7, -18], [-39, -6], [-3, -11], [27, -11], [27, 9], [-27, 5], [-9, 7], [15, -6], [17, -6], [9, -12], [-6, 18], [-6, 8], [-48, 0], [-33, -15], [0, 2], [-33, 7], [18, 20], [0, -6], [-13, -6], [48, -1], [-6, 4], [-12, 1], [15, 7], [-37, -6], [32, 6], [-18, -20], [-24, 16], [-3, -6], [-20, 12], [29, -18], [-33, -1], [33, 9], [12, -15], [12, -13], [33, -3], [-39, 8], [-31, 6], [-18, -18], [30, -7], [-3, 13], [-6, -5], [36, 0], [-39, -11], [3, 22], [-18, 28], [-9, 22], [-42, 3], [30, -16], [6, -26], [-9, -9], [42, 12], [-4, -24], [23, -6], [-7, -30], [-18, -18], [-42, 15], [41, 3], [36, -12], [-12, 23], [1, 39], [-36, 0], [-60, -3], [24, -6], [-36, -6], [3, 15], [-14, 30], [-3, 25], [18, 7], [12, -24], [6, 6], [-26, 18], [-23, -15], [33, 10], [-6, 0], [-42, 4], [6, 19], [18, -6], [-21, 31], [-19, -21], [18, 0], [-29, 0], [-4, 0], [13, 9], [-33, -16], [28, -18], [-18, -4], [-4, 0], [-18, -21], [6, 2], [-9, 5], [-6, -2], [21, -15], [-11, 21], [48, -5], [-45, -18], [12, -24], [24, 12], [-45, -5], [-1, -3], [-3, -37], [-12, 17], [3, -6], [-15, 33], [-18, 12], [6, 4], [33, -7], [32, -12], [-16, -18], [21, -26], [-60, -1], [0, -10], [27, -19], [22, 6], [-14, -30], [12, -32], [-26, 0], [9, 8], [-6, -3], [14, 18], [-12, -16], [-12, 22], [-21, -17], [-36, 17], [-39, -1], [-31, 12], [62, 0], [27, 3], [54, 8], [37, -12], [-33, 17], [42, -20], [30, -18], [-15, 3], [-20, -24], [-6, -24], [-18, -28], [30, -21], [-18, -18], [-3, 33], [-60, 5], [36, -6], [-15, 27], [-45, 10], [45, -7], [-35, -12], [-3, 22], [-52, 0], [3, 12], [21, 19], [-26, 18], [-24, 17], [-42, -4], [-17, 33], [-60, 2], [-9, -3], [-6, -11], [24, -12], [-36, 23], [36, 22], [-6, -5], [0, 2], [27, -32], [-18, 14], [-19, 15], [45, 7], [36, 24], [30, -14], [45, 11], [-11, -12], [-12, 38], [12, 16], [-17, 0], [-48, -6], [13, -3], [24, -8], [-18, -35], [-7, -27], [39, 13], [21, -19], [-18, 24], [-11, -42], [36, 7], [15, -3], [54, 10], [60, -14], [57, 9], [10, 6], [27, 10], [0, 43], [5, -3], [7, -6], [-15, -8], [12, -2], [-36, 0], [0, 1], [24, -40], [1, 18], [-17, -9], [-24, -28], [9, 16], [-44, -30], [35, 6], [-36, 4], [6, -10], [64, 0], [-48, 0], [-18, -6], [45, -13], [-9, -16], [3, -29], [-42, 15], [-6, 28], [21, 41], [21, 31], [55, 3], [30, 29], [-24, -39], [-48, 18], [30, 7], [-9, 3], [-27, 3], [15, 21], [-33, 0], [45, 5], [-37, -6], [-39, -27], [3, 11], [-22, 24], [-48, 9], [-56, 12], [-6, 1], [30, -16], [-6, -16], [33, -12], [45, -23], [-45, 25], [65, 3], [18, -4], [-3, 49], [30, 12], [17, 6], [48, 16], [66, -8], [36, -14], [-18, 22], [10, 6], [18, -24], [-33, 8], [-44, 12], [-3, 36], [38, -6], [-18, -15], [-39, 7], [-30, 0], [-36, -1], [-4, 42], [-30, -8], [27, 6], [-58, 12], [-60, -8], [59, 12], [21, 20], [42, 30], [12, -4], [-66, -4], [-9, 24], [54, 24], [43, -27], [12, 48], [-24, 10], [78, -11], [30, -24], [-60, -6], [-24, 4], [-5, 6], [72, 8], [42, 0], [6, -46], [-56, -18], [0, -10]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 36028797052521138, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 112961, 'label': '2738.2.a.i', 'level': 2738, 'maxp': 2999, 'weight': 2}