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

Formats: - HTML - YAML - JSON - 2026-07-12T01:12:06.318077

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, -1], [1, -1], [-1, 1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 2], [0, 0], [3, -3], [0, 1], [-1, 0], [0, 0], [0, 0], [0, -1], [0, 0], [2, -2], [0, 2], [0, 0], [0, 0], [-3, 0], [0, 3], [1, -1], [5, -5], [0, 1], [5, 0], [0, 0], [0, 0], [0, 0], [5, -5], [-1, 1], [0, -3], [0, 0], [0, 0], [-2, 0], [0, 7], [2, -2], [-1, 1], [0, 0], [-3, 0], [0, 0], [8, 0], [0, 3], [0, 0], [3, -3], [0, -3], [-1, 0], [0, 0], [-5, 0], [0, 0], [1, -1], [12, -12], [0, -5], [0, 0], [0, 0], [2, 0], [0, 0], [6, -6], [0, 0], [0, -1], [-5, 0], [0, 0], [1, 0], [0, 0], [-3, 3], [-5, 5], [0, 0], [3, 0], [0, 0], [12, 0], [0, 2], [11, -11], [7, -7], [0, -5], [-2, 0], [0, 0], [1, 0], [0, 1], [0, 0], [-1, 1], [0, 3], [-12, 0], [0, 0], [0, 0], [0, -8], [0, 0], [3, -3], [0, -18], [0, 0], [0, 0], [-3, 0], [0, -5], [-3, 3], [0, 0], [0, 1], [-17, 0], [0, 0], [6, 0], [0, 5]], 'ap': [[0, -1], [1, -1], [0, 0], [0, 0], [3, -3], [-1, 0], [0, 0], [0, 2], [0, 3], [0, 0], [5, -5], [0, 7], [-3, 0], [8, 0], [0, -3], [12, -12], [6, -6], [0, -1], [-5, 5], [12, 0], [11, -11], [0, 1], [-12, 0], [0, -18], [-17, 0], [-3, 3], [0, 14], [0, 0], [-2, 2], [9, 0], [-7, 0], [0, 0], [6, -6], [4, 0], [0, 15], [-8, 8], [-13, 13], [0, -20], [24, 0], [0, -18], [6, -6], [7, 0], [0, 0], [4, -4], [-3, 0], [-16, 16], [-22, 0], [1, 0], [-24, 24], [0, -4], [0, -3], [6, 0], [26, -26], [15, 0], [0, 24], [-24, 24], [-9, 9], [0, 11], [-26, 26], [12, 0], [-31, 31], [-18, 0], [16, 0], [30, -30], [0, 26], [0, 3], [0, 19], [-31, 0], [-24, 24], [10, 0], [15, -15], [0, 24], [-28, 28], [0, 4], [-16, 0], [0, 3], [36, -36], [0, 20], [0, -24], [-22, 22], [-21, 0], [-37, 0], [6, -6], [-38, 0], [0, 26], [0, -24], [-6, 0], [0, -26], [-24, 0], [-40, 0], [0, 12], [24, -24], [-2, 2], [12, 0], [0, -23], [-12, 0], [0, -30], [6, -6], [0, -7], [0, 34], [8, 0], [15, -15], [-39, 39], [0, -21], [22, -22], [2, -2], [-18, 0], [0, -6], [-39, 39], [10, 0], [0, 14], [25, -25], [18, 0], [-10, 10], [-34, 0], [33, -33], [-32, 0], [12, -12], [0, -24], [42, 0], [32, -32], [-1, 0], [0, -39], [27, -27], [0, 8], [-36, 0], [0, -35], [0, 6], [-26, 0], [0, -4], [16, -16], [-24, 0], [0, 31], [38, 0], [0, 3], [13, 0], [-54, 54], [32, -32], [-9, 0], [-30, 30], [-20, 0], [0, 6], [-41, 41], [-36, 0], [38, -38], [21, 0], [-44, 0], [54, -54], [0, 23], [0, -12], [0, 13], [-6, 0], [2, 0], [0, 42], [-26, 26], [12, 0], [0, 25], [0, -9], [52, 0], [30, -30], [0, -48], [-42, 0], [-22, 0], [0, -21], [-18, 18], [0, 0], [-11, 11], [-37, 37], [-16, 0], [0, 18], [-36, 36], [-14, 0], [0, 15], [-44, 44], [50, -50], [36, 0], [-37, 0], [-42, 42], [52, 0], [0, -19], [0, 46], [-3, 0], [14, 0], [0, 21], [36, -36], [-42, 42], [-56, 56], [8, -8], [0, 4], [9, -9], [0, -52], [33, 0], [0, -2], [0, 30], [-18, 18], [-18, 18], [40, -40], [0, -26], [-30, 0], [0, -24], [-51, 51], [64, 0], [0, 32], [26, -26], [66, 0], [30, -30], [0, 20], [0, -66], [18, 0], [-31, 31], [0, -29], [21, 0], [-1, 0], [0, 0], [51, -51], [0, 35], [31, -31], [-60, 60], [0, 18], [15, 0], [0, 22], [-41, 0], [0, -36], [0, 34], [33, 0], [-28, 0], [0, -24], [9, -9], [0, 8], [0, -15], [4, -4], [-52, 52], [32, 0], [-3, 3], [1, 0], [-63, 63], [0, 5], [0, -45], [0, 0], [-60, 0], [57, -57], [0, -61], [32, -32], [0, 34], [-63, 0], [0, -66], [43, 0], [18, -18], [-5, 5], [15, 0], [23, 0], [0, 54], [6, -6], [46, 0], [-63, 63], [0, 48], [-38, 38], [26, -26], [-27, 0], [0, -7], [-8, 8], [18, 0], [50, -50], [25, 0], [-21, 21], [0, 8], [-69, 0], [-39, 0], [-13, 0], [12, -12], [0, -49], [25, -25], [-37, 37], [0, 40], [22, 0], [0, 56], [0, -12], [-17, 17], [0, 52], [0, 36], [54, -54], [22, -22], [42, 0], [10, 0], [0, -4], [0, 51], [7, -7], [-66, 0], [71, -71], [60, 0], [30, -30], [45, -45], [0, 30], [-18, 0], [62, 0], [-42, 42], [0, 44], [-45, 0], [0, 27], [-62, 0], [0, -22], [0, 15], [16, -16]], 'char_orbit_index': 6, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 36029140649903354, 'hecke_ring_character_values': [[885, [0, -1]], [197, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 72618, 'label': '1274.2.f.i', 'level': 1274, 'maxp': 1999, 'weight': 2}