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

Formats: - HTML - YAML - JSON - 2026-05-30T17:59:16.090437

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], [0, 0], [0, 0], [0, 1], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [-1, -1], [0, 0], [0, 0], [0, 0], [-2, -3], [0, 0], [1, 3], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [2, -4], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [-1, -2], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [6, 4], [0, 0], [0, 0], [0, 0], [-4, -3], [0, 0], [-4, -2], [0, 0], [0, 0], [0, 0], [-4, 7], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [-4, 1], [0, 0], [-9, 1], [0, 0], [0, 0], [0, 0], [-2, -1], [0, 0], [3, -8], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [1, 7], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [7, -5], [0, 0], [0, 0], [0, 0], [-4, -4], [0, 0], [-6, -2], [0, 0], [0, 0], [0, 0], [-4, 3], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [6, 1], [0, 0], [-9, -4], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 1], [1, -1], [-1, 0], [-1, -1], [-2, -3], [1, 3], [0, 4], [-2, 1], [2, -4], [-1, -2], [0, -2], [6, 4], [-4, -3], [-4, 7], [-4, 1], [-9, 1], [3, -8], [-4, 0], [1, 7], [7, -5], [-4, -4], [-4, 3], [-9, -4], [-10, -3], [3, 6], [-10, -3], [-2, -4], [4, 1], [-4, -2], [-2, -3], [0, -2], [7, 11], [-8, -8], [9, -3], [4, 8], [-5, 6], [2, -15], [-4, 10], [-16, -1], [3, 12], [-8, 8], [-5, -1], [-2, 1], [5, 4], [-1, -1], [12, 4], [-14, 7], [4, 0], [-14, -3], [0, 10], [-11, -5], [4, 11], [16, 5], [-6, -11], [8, 0], [-3, -5], [0, -6], [-20, 4], [-8, -6], [-18, -3], [-20, -2], [0, 7], [-7, 14], [-28, -1], [17, -2], [5, -15], [10, -9], [-3, 1], [-8, -15], [12, -14], [-1, 10], [9, 7], [-15, -2], [12, 3], [-12, -2], [24, -8], [4, 14], [-9, 13], [-4, -16], [-5, -14], [8, -2], [24, 0], [0, 2], [-32, 3], [-12, 10], [10, 4], [-6, -1], [19, -6], [-24, 8], [26, 3], [-23, 4], [22, -11], [-10, 20], [-8, -8], [32, 5], [0, 12], [-15, -3], [23, 5], [-11, -1], [6, -17], [-4, 28], [4, 14], [3, -1], [-3, -22], [-8, -13], [0, -24], [32, 6], [6, 16], [-19, 7], [1, -23], [4, -20], [3, -14], [13, -12], [36, -1], [-6, -20], [28, 2], [28, -10], [-18, -5], [27, 10], [-5, -5], [-40, 6], [0, -15], [0, 12], [26, 5], [-19, -22], [12, 9], [-14, 0], [6, 28], [24, -6], [46, -3], [13, 28], [9, 22], [20, -10], [-7, -7], [20, -3], [-1, 19], [20, -16], [-26, -1], [0, 10], [-8, -22], [9, 10], [2, -3], [-17, 28], [-8, 26], [-27, -19], [22, -15], [23, -6], [-8, -1], [-5, 33], [-12, 10], [11, -16], [50, 5], [-21, -10], [40, -6], [-4, 18], [48, 5], [1, -9], [-12, 2], [4, 21], [-16, 28], [13, -15], [-16, -1], [24, 5], [12, -13], [27, 16], [38, -16], [-33, 19], [20, 20], [-6, 13], [8, -32], [-4, -2], [-23, 25], [-1, 22], [24, 10], [-12, 10], [24, 20], [51, 7], [8, 2], [-17, 8], [4, -30], [-36, -20], [-16, -16], [-24, -28], [-40, -10], [-45, -5], [33, 2], [-15, -17], [16, 4], [-33, -18], [-20, 8], [29, 0], [0, -9], [-24, -26], [-20, -16], [-23, 27], [37, 0], [48, 4], [12, 36], [30, -15], [7, -21], [-1, 8], [-11, 5], [-4, 12], [32, 7], [13, -18], [36, 0], [4, -18], [-13, -24], [-25, 33], [8, 14], [3, 24], [44, 10], [30, -11], [41, -18], [38, 8], [38, -21], [-32, 3], [20, 0], [-27, 13], [0, -22], [40, -7], [38, 4], [-24, -22], [-1, 17], [16, -8], [44, -8], [-45, -17], [-12, 32], [-7, -24], [66, 4], [-32, -26], [-64, -6], [-29, -12], [28, -12], [-3, 14], [24, -14], [-20, 6], [-28, -14], [-32, 29], [15, 27], [51, 12], [-27, -14], [10, 25], [18, -5], [-55, -12], [-4, -22], [8, -26], [6, 23], [-22, 8], [-20, -40], [20, 28], [3, -46], [8, 18], [-10, -15], [-1, -8], [-48, 18], [-44, 24], [20, 18], [-5, -13], [12, 46], [-39, -21], [-7, 9], [-4, -53], [-30, 8], [48, -2], [48, -20], [4, 18], [-44, -18], [65, -4], [-29, -18], [40, 4], [15, -15], [4, -14], [-1, -8], [-8, -53], [32, -14], [4, 42], [-26, -35], [-30, -7], [-26, 8], [-22, 11], [47, 21], [-11, 35], [-12, -8], [-27, 0], [-34, 3], [13, -16], [12, 28], [-32, 32], [-24, 14], [-70, 7], [-2, 55], [-38, 32], [40, -22], [-11, 0], [-36, -14], [48, -2], [-19, 11], [-23, -7], [-14, 33], [20, 10], [-52, -1], [-25, 0], [60, -12], [-36, -21], [-43, 14], [-60, -12], [69, 9], [-12, 30], [8, -51], [-24, 0], [11, 4], [-26, -17], [-86, 0], [52, -19], [-8, 46], [44, 0], [-26, 19], [-43, 15], [49, 26], [24, -20], [14, 52], [8, 56], [25, 20], [8, -32], [38, -24], [-40, -12], [-34, -15], [-13, -43], [32, -8], [-19, 49], [-16, 6], [36, -22], [-24, 36], [-27, 4], [-60, 16], [50, -16], [-54, -8], [3, -4], [-40, -21], [-56, 0], [37, 14], [-32, -30], [-12, -48], [-20, 4], [-54, 16], [-22, 31], [32, 11], [-37, 25], [75, 12], [-52, -26], [8, -34], [5, -39], [-54, 7], [-60, -26], [28, -6], [-14, -29], [16, 5], [-29, 11], [10, -15], [-28, -21], [-22, -31], [-29, 4], [-17, -18], [-24, -24], [-21, 13], [-35, -11], [64, -12], [-51, -14], [-74, 5], [12, -40], [-41, -9], [-1, -34], [60, 2], [-16, 20], [-21, -21], [26, 31], [23, -19], [4, 28], [-24, -22], [9, 37], [42, 1], [-11, 9], [-28, 35], [34, 44], [-67, 0], [-23, 3], [-36, -4], [-36, -12], [-56, -19], [24, 29], [17, -20], [-56, 7], [-37, 27], [35, 7], [-12, 25], [54, -8], [10, 25], [6, 8], [-20, 14], [-68, -22], [-68, 12], [18, 3], [-6, -56], [7, -12], [56, 2], [17, 0], [44, -8], [18, 0], [-6, 21], [28, 2], [47, -35], [-63, 3], [-12, 23], [52, -18], [-1, -62], [-68, -1], [0, -58], [44, -2], [70, 12], [0, -40], [-52, 16], [8, 32], [56, -7], [24, -5], [-26, -5], [40, -4], [-8, 70]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 117093590345192080, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 147744, 'label': '4752.2.a.ba', 'level': 4752, 'maxp': 2999, 'weight': 2}