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

Formats: - HTML - YAML - JSON - 2026-08-25T14:44:32.124729

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, 0, 0], [0, 0, 0], [1, 0, 0], [1, 1, 1], [0, 0, 0], [-2, -1, 1], [1, 0, 0], [0, 0, 0], [1, 1, 1], [1, 0, 0], [0, 0, 0], [0, -1, 1], [-2, -1, 1], [0, 0, 0], [1, 0, 0], [3, 0, 1], [0, 0, 0], [-1, 0, 0], [1, 1, 1], [0, 0, 0], [1, 0, 0], [5, 0, 1], [0, 0, 0], [4, 3, 0], [0, -1, 1], [0, 0, 0], [-2, -1, 1], [-2, -1, -2], [0, 0, 0], [-1, 3, 0], [1, 0, 0], [0, 0, 0], [3, 0, 1], [0, -6, -3], [0, 0, 0], [-2, 0, -2], [-1, 0, 0], [0, 0, 0], [1, 1, 1], [3, 3, 2], [0, 0, 0], [-7, 3, 1], [1, 0, 0], [0, 0, 0], [5, 0, 1], [4, -4, -2], [0, 0, 0], [9, 1, -2], [4, 3, 0], [0, 0, 0], [0, -1, 1], [3, 4, -1], [0, 0, 0], [1, 1, 1], [-2, -1, 1], [0, 0, 0], [-2, -1, -2], [1, -2, -1], [0, 0, 0], [8, 0, 2], [-1, 3, 0], [0, 0, 0], [1, 0, 0], [2, -4, -1], [0, 0, 0], [0, 1, -3], [3, 0, 1], [0, 0, 0], [0, -6, -3], [-7, 5, 1], [0, 0, 0], [-1, 0, -1], [-2, 0, -2], [0, 0, 0], [-1, 0, 0], [-2, -1, 1], [0, 0, 0], [-2, -2, -4], [1, 1, 1], [0, 0, 0], [3, 3, 2], [11, 1, -1], [0, 0, 0], [8, 2, 2], [-7, 3, 1], [0, 0, 0], [1, 0, 0], [-2, -2, -2], [0, 0, 0], [12, -1, 0], [5, 0, 1], [0, 0, 0], [4, -4, -2], [-1, -1, -1], [0, 0, 0], [4, 0, -4], [9, 1, -2], [0, 0, 0], [4, 3, 0]], 'ap': [[1, 0, 0], [0, 0, 0], [1, 1, 1], [-2, -1, 1], [1, 0, 0], [0, -1, 1], [3, 0, 1], [-1, 0, 0], [5, 0, 1], [-2, -1, -2], [-1, 3, 0], [-2, 0, -2], [3, 3, 2], [-7, 3, 1], [4, -4, -2], [3, 4, -1], [1, -2, -1], [8, 0, 2], [0, 1, -3], [-7, 5, 1], [-1, 0, -1], [-2, -2, -4], [11, 1, -1], [-2, -2, -2], [4, 0, -4], [0, 2, 2], [1, -1, 5], [1, -2, 1], [-1, -2, 3], [8, 0, 0], [-6, 2, -4], [-3, -3, 0], [-2, -1, -5], [5, -3, -3], [-2, -4, 2], [-8, -4, -2], [5, 5, 5], [0, -6, -4], [-6, 0, 4], [-9, -5, -3], [1, 3, 4], [0, -6, -4], [7, -2, -5], [5, 3, -3], [12, 0, 2], [-17, 0, -3], [-9, 4, 1], [6, 0, 2], [5, 0, -5], [-1, 1, 4], [18, 0, -2], [-6, 1, -6], [-1, 1, 7], [-10, 4, 2], [-16, -2, 4], [-7, 7, 3], [4, -10, -2], [0, -7, 5], [0, -4, -2], [-3, -1, -3], [11, -1, 0], [-8, -1, 1], [-10, 2, 6], [5, 8, 3], [0, 5, -4], [13, 8, -1], [14, -11, -2], [3, -3, -4], [6, 0, -2], [6, 8, 8], [5, 6, -7], [-8, -7, 5], [-8, -8, 6], [-2, -5, 6], [-10, -5, 1], [1, 1, -8], [9, -7, 1], [-13, 11, 2], [0, 6, -6], [-3, 1, 5], [-10, 4, 4], [17, 0, -3], [22, -8, -2], [6, -14, -2], [-18, 0, 2], [6, -8, -2], [22, 2, 0], [3, 4, -7], [-8, 0, 4], [-20, 4, -4], [6, 10, 4], [-7, -13, 0], [-3, 3, 9], [5, 9, 4], [12, 4, -2], [-6, -11, -6], [18, -12, -2], [8, -4, -10], [9, 0, -9], [6, 10, -4], [8, 0, -12], [2, -8, -10], [-8, 8, -6], [9, -13, -8], [3, 7, -4], [-8, 3, -7], [-4, 0, 0], [-2, 0, 12], [-15, -9, -3], [21, -1, 0], [8, 2, -2], [-8, 4, -6], [13, 1, 4], [-4, 12, -6], [18, -2, -8], [6, -14, 2], [-2, -12, -6], [-3, 16, 3], [1, -9, -12], [-21, 12, -1], [1, 2, 3], [5, -13, -4], [-20, 3, 0], [-16, -8, -4], [-26, -8, -4], [-4, -12, -4], [1, 9, 6], [5, 4, 3], [5, 2, 7], [10, -12, -8], [3, 5, 11], [28, -8, 2], [-42, -4, -2], [-9, -1, -5], [-1, 16, 9], [-11, -10, -7], [11, -18, -1], [-13, 8, 1], [15, 4, 1], [-5, 6, -11], [3, -14, -13], [-18, -10, -12], [-29, -6, 5], [-21, -10, -3], [21, 10, 5], [23, 9, 11], [26, -4, 2], [-15, 1, 6], [6, 4, 6], [1, -3, 12], [-14, -1, 10], [-35, -7, 0], [30, 2, -2], [8, 8, -4], [25, -2, -9], [-18, 8, -6], [-40, -1, -4], [-10, -15, 13], [5, 10, -15], [-17, -6, 7], [-26, 6, 2], [-4, 0, 6], [-4, 4, 0], [-11, 3, 7], [-4, -4, -4], [27, 3, 0], [3, -3, -14], [24, -6, 2], [-7, -5, -16], [-11, -17, 4], [5, 6, -5], [-15, -8, 3], [13, 15, 7], [21, -4, -5], [26, -20, -2], [15, 7, 5], [7, -3, 10], [8, -12, -14], [-6, 8, -4], [10, -10, -10], [3, -2, 5], [17, -6, 7], [14, -4, 12], [27, 13, -13], [3, 18, -3], [4, -4, -2], [-17, -6, -1], [31, 9, 1], [7, 19, 7], [24, 7, 0], [2, -2, 0], [13, 11, 2], [-17, 9, 13], [21, 8, 7], [47, 5, 2], [-14, 2, -8], [-15, -10, 15], [25, -1, 4], [17, -2, 17], [-17, 10, 1], [11, 7, 16], [-32, -4, -12], [3, 6, -3], [15, -1, -5], [4, -18, 4], [-6, 0, 12], [-23, 2, 9], [-35, -4, -3], [19, -6, 9], [6, 3, -2], [-33, 4, -5], [-7, -5, -15], [14, -6, 10], [2, -21, -11], [10, 0, -6], [2, -10, -18], [-33, 18, 5], [8, -12, -10], [15, 7, -12], [57, -3, -2], [-19, -11, -4], [-20, -8, 2], [-40, -2, -4], [13, -18, -7], [-11, 6, 7], [34, -4, 0], [-10, -6, -6], [25, 3, 13], [20, 10, 8], [15, 9, -13], [19, -13, -1], [-9, 12, -5], [-6, 22, 2], [11, -11, -8], [2, -2, -12], [-34, -9, -3], [-1, -25, 4], [38, 12, 12], [-4, 4, -14], [-5, 11, 0], [11, -3, 5], [-11, -1, 14], [-31, -8, -1], [39, -2, 5], [4, -20, -14], [-15, -9, 4], [18, 6, -6], [3, 13, 5], [-2, 6, 20], [1, 18, 19], [8, 8, -18], [27, 4, -3], [9, -16, -3], [32, -6, -2], [38, 4, -2], [-3, 17, 1], [19, -7, -9], [-2, 14, -4], [-24, -2, 12], [26, 16, -16], [8, 22, -12], [26, -6, 12], [12, -4, -6], [-38, -3, 2], [57, -7, -1], [7, -10, 9], [31, 10, -7], [52, -3, 8], [-23, 8, 11], [-10, 22, -2], [-9, -14, -25], [24, 3, -4], [52, 9, 3], [-40, 7, -4], [-1, -15, 7], [-43, -8, -1], [-30, -14, 8], [-4, -21, -12], [-3, -3, 13], [41, -13, 5], [-42, -8, 12], [-11, 18, -7], [20, -5, -4], [-18, 5, 10], [5, -17, 1], [6, 2, 0], [-22, -9, 3], [35, -1, -4], [-21, 14, -5], [-3, 11, -7], [-49, 5, -4], [-30, -24, 18], [-5, 9, 8], [18, -6, -18], [-1, -29, -3], [-14, 24, 8], [19, 9, 18], [16, 20, -10], [17, 18, 13], [19, 17, 7], [-28, 6, -6], [14, -27, -3], [-21, 14, -7], [0, 23, 4], [-4, -4, 4], [14, 12, 2], [-34, 17, 11], [-15, 10, -9], [-12, 4, -8], [-16, -12, 12], [-11, 31, 12], [3, 5, -17], [5, -9, 20], [35, -11, -11], [-27, 11, 4], [-26, -8, 0], [-4, -4, -10], [36, -2, -2], [-28, -1, 4], [30, 4, 8], [25, 0, 11], [-35, 10, 1], [39, 6, 19], [-26, 16, 10], [-1, -20, -13], [18, 2, 6], [6, -5, -7], [-24, -13, 8], [-30, -6, 6], [24, 14, -16], [-20, 8, -12], [-41, 6, 9], [8, -15, 12], [-14, -12, -2], [39, 11, 15], [-8, 10, -8], [15, 12, -9], [17, 15, 0], [-27, 14, 1], [40, -1, -8], [29, -22, -1], [16, 5, -8], [12, -23, -13], [-27, -5, 17], [31, 12, 21], [-78, 2, 0], [5, -1, -8], [-10, -19, 7], [-54, -6, -4], [16, -24, -14], [12, 8, -22], [36, -22, -4], [37, 5, 6], [10, 0, 24], [-37, 3, -12], [1, -17, 13], [21, -8, 5], [45, 19, -3], [-27, -2, -15], [61, 1, 0], [-2, -24, -4], [16, -18, 2], [-39, -3, 9], [25, 16, 9], [24, -10, 2], [66, -4, 6], [-14, 12, 2], [4, -30, -16], [-37, 11, -1], [48, 4, -14], [-18, 13, 11], [1, 26, -5], [26, -17, 2], [4, -36, -16], [50, 16, 12], [-6, -25, -19], [1, 15, 0], [14, -20, -2], [-27, -8, -27], [4, 12, 6], [-30, 12, 6], [-15, 1, 12], [-54, -3, 11], [36, 6, 2], [-55, -6, -9], [-10, -16, 2], [21, -28, -5], [-17, -27, -17], [27, 19, 36], [-49, -5, -5], [2, 24, -4], [-11, -20, 5], [46, 0, 18], [-2, 2, -20], [15, -21, -16], [-9, 19, 7], [36, 8, 12], [-48, 4, -6], [41, 11, -16], [-18, -8, -2], [25, 13, 0], [23, -5, 21], [-16, 20, 2], [-6, 8, 14], [-11, 17, 7], [-17, -2, -3], [-37, 3, 14], [4, -20, -2], [29, -26, -13], [-16, 4, -26], [-18, 24, 8], [18, 10, -18], [17, -2, 11], [11, -19, -9], [-51, 2, 9], [0, 0, -6], [28, -2, 8], [27, -21, -4], [-32, -7, -5], [-4, 2, -28], [-26, -8, -16], [-9, 10, -1], [19, 0, 7], [-27, -18, 13], [-2, 0, 6], [-21, 34, 9], [22, -15, 7], [15, -4, 5], [-8, 10, 16], [10, -19, -2]], 'char_orbit_index': 1, 'field_poly': [-3, -6, 0, 1], 'hecke_orbit_code': 144115188109414066, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 133702, 'label': '3762.2.a.bg', 'level': 3762, 'maxp': 2999, 'weight': 2}