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

Formats: - HTML - YAML - JSON - 2026-07-27T13:56:13.591320

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, 1], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [1, 1], [0, 0], [1, 0], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [0, 1], [0, 0], [4, 1], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [4, -1], [0, 0], [2, 3], [0, 0], [4, 1], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [-2, 3], [0, 0], [0, -2], [0, 0], [2, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [8, 2], [0, 0], [-3, 1], [0, 0], [4, -1], [0, 0], [-2, -1], [0, 0], [0, 0], [0, 0], [4, 1], [0, 0], [-4, 2], [0, 0], [10, -3], [0, 0], [4, 2], [0, 0], [0, 0], [0, 0], [4, -4], [0, 0], [-8, -2], [0, 0], [-4, 3], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, -6], [0, 0], [-7, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [12, 5], [0, 0], [-10, -1], [0, 0], [0, -2], [0, 0], [4, 5], [0, 0], [0, 0], [0, 0], [-2, -2], [0, 0], [1, 1], [0, 0]], 'ap': [[0, 0], [0, 1], [0, 0], [0, 1], [1, 0], [-2, 0], [-2, 1], [0, 1], [0, -2], [2, 3], [4, 1], [-2, 3], [2, 0], [0, -4], [8, 2], [-2, -1], [-4, 2], [10, -3], [4, -4], [-4, 3], [2, 0], [0, -6], [0, -2], [-10, -1], [-2, -2], [6, -4], [0, -4], [16, 0], [-2, 8], [14, 2], [-4, -4], [0, -3], [6, -10], [12, 0], [10, -3], [8, 2], [-2, -5], [-16, 5], [8, 1], [6, -4], [4, -4], [6, -4], [0, 4], [-18, 5], [-10, 6], [12, -5], [16, -3], [-8, -2], [-8, 2], [6, -12], [-2, -7], [0, 10], [-6, -4], [-4, -10], [-2, 12], [8, -5], [6, -10], [8, 8], [-2, -2], [2, -4], [8, 6], [6, -8], [0, 10], [-28, 1], [-10, -8], [-26, 5], [12, -8], [-10, 3], [24, -2], [-10, 8], [14, 8], [16, 4], [-16, 12], [-2, 0], [-20, -2], [16, 6], [22, 4], [18, 0], [-10, 1], [2, 2], [4, -12], [-18, 10], [-16, 0], [-18, -6], [-24, -4], [4, 0], [18, 0], [-26, -1], [18, 1], [-8, 6], [8, -7], [8, -16], [-8, 4], [-16, 9], [-4, 8], [4, 4], [6, 6], [-22, 12], [24, -8], [10, -17], [16, 0], [-26, -8], [8, -2], [18, -18], [-8, 15], [6, -12], [-40, 3], [-22, 8], [-20, 1], [-30, 0], [-8, -5], [14, -12], [22, -6], [12, -8], [-4, -5], [-10, -11], [-16, -3], [8, 2], [-2, 5], [32, -5], [6, 4], [-18, 21], [-2, -10], [8, 7], [-12, 6], [42, -3], [22, -8], [36, -11], [8, -10], [14, 2], [-12, -12], [0, 1], [12, -11], [26, 0], [-6, -12], [-6, 12], [30, 3], [24, 12], [34, -4], [-14, 8], [40, -5], [-2, 0], [32, 8], [-16, 8], [-10, 6], [32, -8], [14, -4], [6, -15], [-44, 2], [16, -10], [22, 4], [2, 0], [-24, 7], [20, 4], [-32, 9], [-20, 7], [8, 0], [22, 9], [42, 0], [-22, 7], [32, 3], [6, 11], [32, -17], [-4, 4], [30, -2], [-24, 2], [32, 0], [22, -14], [-38, -8], [46, -5], [0, 9], [-34, 8], [40, -10], [-34, -3], [-16, 8], [30, -15], [-20, 8], [30, -2], [32, -5], [2, 1], [-32, 2], [40, -3], [-18, 9], [14, 5], [8, -2], [22, -4], [14, 14], [36, 0], [10, -12], [-16, 0], [-2, 2], [-32, 20], [36, 6], [22, -26], [-32, 4], [22, 8], [34, -2], [-38, -12], [-14, 20], [24, -13], [2, -5], [-8, -10], [6, 1], [2, 14], [-4, 16], [14, -5], [8, 8], [-16, 8], [2, 0], [-20, 20], [14, -25], [-2, 22], [-16, 20], [-8, 11], [32, -8], [30, 1], [32, -13], [18, 20], [16, 0], [14, 9], [14, 0], [-40, 2], [-18, -13], [-8, -12], [56, -8], [-6, -27], [14, -32], [-44, -9], [4, 4], [68, 0], [-46, 12], [32, -5], [56, -2], [-14, 4], [-20, 24], [-16, 11], [22, -31], [6, 4], [-12, 0], [12, -3], [40, 11], [4, 8], [0, 4], [14, -16], [18, -12], [40, -10], [-64, -4], [-12, 30], [16, 5], [-32, 27], [14, -28], [-70, 2], [40, -6], [-34, 9], [30, 10], [24, -3], [-18, 6], [0, -18], [-38, -8], [-42, 3], [52, -4], [32, -12], [-62, -7], [-18, 12], [38, -10], [-4, 28], [6, 2], [-58, 7], [16, 16], [6, 8], [14, 16], [-16, -1], [6, 10], [-8, -26], [-26, 17], [-16, -14], [-36, 12], [38, 4], [-30, 28], [-24, 15], [40, -15], [40, 4], [-4, -12], [-6, -19], [8, -4], [-28, -15], [6, -4], [-26, -4], [68, -9], [-46, 8], [6, 22], [12, -24], [46, -3], [32, -13], [-18, 24], [14, 20], [-8, -16], [-10, 9], [44, 0], [-32, -6], [-42, -1], [-34, 30], [0, -12], [20, 8], [-12, 6], [22, 26], [12, 24], [-10, 26], [44, -19], [-26, -6], [-52, -8], [-26, -12], [-6, 10], [24, 5], [-24, 1], [2, 12], [28, 2], [-24, 8], [-10, -12], [-70, 2], [8, 19], [-82, 4], [38, -12], [-8, -2], [-10, -13], [22, 1], [28, 10], [4, -24], [24, -3], [-10, -14], [-14, 39], [-14, -28], [56, -8], [-40, 6], [56, 1], [8, -31], [-50, 12], [6, 17], [-10, 11], [8, 21], [-70, 4], [-26, -8], [-14, -17], [-12, 27], [-10, -9], [-8, -33], [-18, -2], [0, -21], [16, 28], [-26, 29], [8, -27], [-58, -12], [-42, 30], [40, 3], [66, -11], [-18, -21], [-52, 21], [16, -5], [18, 16], [0, -20], [-42, 12], [2, -26], [16, 20], [-16, 3], [64, -19], [54, 10], [22, 0], [-16, 21], [-6, -18], [-36, 12], [76, -8], [20, -4], [-22, 5], [-64, 14], [66, 0], [-44, 12], [32, -22], [38, 1], [26, -26], [-26, -17], [-26, -6], [22, 12], [68, 8], [-26, -5], [12, -12], [-32, 16], [40, 24], [62, -7], [56, 12], [48, -6], [-18, -13], [-42, 21], [-28, 4], [36, -4], [-16, -16], [-6, -4], [-24, -14], [-18, -11], [-4, -18], [18, -27], [26, -25], [54, 0], [4, 0], [46, -22], [-58, -8], [8, -22], [22, 21], [34, 4], [0, -25], [20, 6], [18, -28], [-18, -6], [-12, 0], [20, -32], [-46, -8], [-10, 42], [0, -4], [-16, 16], [-2, 20], [-72, 13], [-42, -18], [62, -22], [24, -12], [-40, 25], [22, 4], [14, 13], [40, -21], [-14, -18], [52, -32], [24, -26]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 81064793326225560, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 99619, 'label': '2200.2.a.s', 'level': 2200, 'maxp': 2999, 'weight': 2}