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

Formats: - HTML - YAML - JSON - 2026-04-29T21:50:40.415461

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, 0], [-1, 1], [0, 0], [-2, 0], [0, 0], [0, -1], [0, 0], [0, 2], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [2, -2], [0, 0], [0, -3], [0, 0], [0, 7], [0, 0], [1, 0], [0, 0], [-1, 1], [0, 0], [-1, 0], [0, 0], [-5, 0], [0, 0], [-3, 3], [0, 0], [-8, 0], [0, 0], [0, 1], [0, 0], [0, 2], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [11, -11], [0, 0], [0, -11], [0, 0], [0, -4], [0, 0], [-12, 0], [0, 0], [6, -6], [0, 0], [3, 0], [0, 0], [-6, 0], [0, 0], [-2, 2], [0, 0], [-7, 0], [0, 0], [0, -9], [0, 0], [0, 9], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [-3, 3], [0, 0], [0, -1], [0, 0], [0, -5], [0, 0], [2, 0], [0, 0], [1, -1], [0, 0], [-1, 0], [0, 0], [-12, 0], [0, 0], [-1, 1], [0, 0], [4, 0], [0, 0], [0, 6], [0, 0], [0, -3], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [8, -8], [0, 0], [0, -14], [0, 0], [0, -1], [0, 0], [2, 0], [0, 0]], 'ap': [[0, 0], [-1, 1], [-2, 0], [0, -1], [1, -1], [0, 0], [0, -3], [0, 7], [-1, 1], [-3, 3], [-8, 0], [-1, 1], [11, -11], [0, -11], [-12, 0], [-6, 0], [0, -9], [0, 9], [-3, 3], [0, -5], [2, 0], [-12, 0], [4, 0], [-1, 1], [0, -1], [17, -17], [-8, 0], [-17, 17], [-10, 0], [0, -11], [-13, 13], [12, 0], [0, -9], [0, 9], [0, -1], [-16, 0], [10, 0], [0, -5], [-7, 7], [0, 9], [-9, 9], [-14, 0], [0, -7], [-5, 5], [-13, 13], [0, -3], [-1, 1], [1, -1], [0, -1], [6, 0], [-26, 0], [24, 0], [0, 11], [0, 13], [13, -13], [31, -31], [0, 5], [-7, 7], [0, 21], [-14, 0], [-25, 25], [0, -9], [20, 0], [8, 0], [30, 0], [2, 0], [0, 27], [6, 0], [0, -27], [-9, 9], [-25, 25], [24, 0], [15, -15], [0, -11], [-15, 15], [0, -33], [6, 0], [0, 19], [27, -27], [0, 35], [-21, 21], [22, 0], [-11, 11], [0, -19], [35, -35], [12, 0], [0, -21], [7, -7], [0, 3], [-24, 0], [-8, 0], [-27, 27], [0, -13], [3, -3], [-36, 0], [0, 25], [-1, 1], [-42, 0], [19, -19], [-30, 0], [12, 0], [19, -19], [0, 9], [17, -17], [-20, 0], [-22, 0], [21, -21], [-14, 0], [-44, 0], [21, -21], [0, 13], [39, -39], [0, 47], [20, 0], [0, 27], [0, -11], [0, 19], [3, -3], [9, -9], [0, 29], [-25, 25], [-39, 39], [-6, 0], [0, -9], [25, -25], [-22, 0], [0, -29], [0, -39], [-8, 0], [-46, 0], [-11, 11], [29, -29], [-17, 17], [-47, 47], [0, 3], [-5, 5], [0, 3], [0, -21], [0, -23], [-27, 27], [-32, 0], [-5, 5], [0, 29], [-20, 0], [-3, 3], [0, 27], [-10, 0], [-18, 0], [20, 0], [16, 0], [0, -1], [45, -45], [-12, 0], [27, -27], [-25, 25], [-16, 0], [0, -15], [0, -5], [-2, 0], [-14, 0], [-39, 39], [0, 9], [16, 0], [0, -27], [-9, 9], [-32, 0], [-13, 13], [0, 25], [34, 0], [-54, 0], [36, 0], [0, 15], [0, 41], [0, -21], [8, 0], [0, 21], [5, -5], [-42, 0], [-13, 13], [17, -17], [-52, 0], [20, 0], [26, 0], [50, 0], [33, -33], [0, 45], [26, 0], [52, 0], [-57, 57], [0, -21], [0, -35], [0, 19], [8, 0], [67, -67], [0, -11], [-27, 27], [-2, 0], [0, 1], [42, 0], [64, 0], [0, -5], [0, -31], [43, -43], [-10, 0], [-67, 67], [-3, 3], [20, 0], [0, -59], [27, -27], [0, 1], [-23, 23], [38, 0], [51, -51], [0, 31], [0, 39], [-22, 0], [8, 0], [0, 9], [-27, 27], [30, 0], [61, -61], [8, 0], [-34, 0], [0, 19], [3, -3], [18, 0], [-23, 23], [0, 41], [0, 17], [-40, 0], [-15, 15], [19, -19], [-15, 15], [-6, 0], [-52, 0], [16, 0], [0, 55], [-69, 69], [0, -39], [-69, 69], [45, -45], [-5, 5], [0, -59], [-53, 53], [0, -9], [-24, 0], [0, 23], [-35, 35], [0, -49], [-17, 17], [23, -23], [-33, 33], [32, 0], [73, -73], [-54, 0], [0, -1], [0, -23], [21, -21], [-38, 0], [0, -33], [32, 0], [27, -27], [30, 0], [-59, 59], [0, -25], [0, 53], [0, -57], [42, 0], [0, -9], [0, 45], [2, 0], [-52, 0], [27, -27], [0, -19], [0, -7], [25, -25], [0, -33], [54, 0], [0, -73], [0, -75], [3, -3], [5, -5], [-12, 0], [31, -31], [-44, 0], [-24, 0], [14, 0], [-82, 0], [0, -57], [0, -51], [9, -9], [0, -3], [47, -47], [0, 55], [0, -43], [66, 0], [88, 0], [-27, 27], [-17, 17], [17, -17], [0, 13], [18, 0], [39, -39]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 549789369672, 'hecke_ring_character_values': [[1015, [1, 0]], [677, [1, 0]], [1185, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 75589, 'label': '1352.2.i.a', 'level': 1352, 'maxp': 1999, 'weight': 2}