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

Formats: - HTML - YAML - JSON - 2026-06-14T17:54:20.376897

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, 0, 0, 0], [0, 0, 0, 0], [1, -1, 0, 0], [0, 0, 0, 0], [0, -1, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 1, -1, 0], [0, 0, 0, 0], [-2, 1, 1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, -3, -1, 1], [0, 0, 0, 0], [0, 3, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -3, -1, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 3, 0, -2], [0, 0, 0, 0], [-2, 2, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, -1, 1], [0, 0, 0, 0], [3, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 0], [0, 7, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 2, 2], [0, 0, 0, 0], [4, -1, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -5, -1, -1], [0, 0, 0, 0], [3, -1, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 2, 0, -2], [0, 0, 0, 0], [0, -2, -2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 4, 0, -3], [0, 0, 0, 0], [-7, 7, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 5, -1, -1], [0, 0, 0, 0], [-2, -1, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 3, 3], [0, 0, 0, 0], [-1, -3, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, -3, -3, 3], [0, 0, 0, 0], [-6, -6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 2, -2, 0], [0, 0, 0, 0], [-3, 3, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [1, -1, 0, 0], [0, -1, -1, 0], [2, 1, -1, 0], [-2, 1, 1, -1], [1, -3, -1, 1], [0, 3, -1, -1], [-2, -3, -1, 0], [-3, 3, 0, -2], [-2, 2, 0, 1], [3, -3, 0, 0], [-1, -1, 0, 0], [0, 7, -1, -1], [-4, 0, 0, 0], [0, -2, 2, 2], [0, -5, -1, -1], [3, -1, -4, 0], [0, -2, -2, 2], [-4, 4, 0, -3], [-7, 7, 0, 0], [-2, -1, 1, 0], [0, 7, 3, 3], [6, -3, -3, 3], [-3, 3, 0, 2], [-6, -1, -1, 1], [4, 2, 2, -2], [8, -8, 0, 1], [3, -1, -4, 0], [-5, -7, -2, 0], [0, -3, 1, 1], [-4, 4, 0, 1], [-2, 1, 1, -1], [2, -2, 0, 1], [10, -4, -4, 4], [0, -1, -1, -1], [10, -4, -4, 4], [2, 3, 1, 0], [8, -8, 0, -3], [1, -1, 0, -6], [0, 3, -5, -5], [-13, -13, 0, 0], [16, -2, -2, 2], [1, -3, -4, 0], [13, 15, 2, 0], [-6, 6, 0, -7], [-4, -9, -5, 0], [0, 7, 3, 3], [2, 1, -1, 0], [0, 1, 1, 1], [-1, 1, 0, 2], [-24, 2, 2, -2], [9, -9, 0, 0], [-12, 0, 0, 0], [0, -23, 1, 1], [0, 5, 5, 5], [1, -1, 0, 8], [8, -2, -2, 2], [-1, 1, 0, -2], [0, -4, -4, -4], [14, 7, -7, 0], [-6, 6, 6, -6], [-12, -2, -2, 2], [12, -12, 0, -3], [-3, 1, 4, 0], [-15, -17, -2, 0], [0, 7, -1, -1], [-7, 7, 0, 4], [6, 1, -5, 0], [0, 2, 6, 6], [22, 2, 2, -2], [0, 13, 1, 1], [0, 3, 3, 0], [-2, 5, 5, -5], [0, 0, 0, -9], [0, -23, 1, 1], [0, -21, 3, 3], [-9, -9, 0, 0], [7, 7, 0, 0], [14, 2, 2, -2], [0, 1, 1, 0], [14, 1, 1, -1], [-18, -11, 7, 0], [0, 3, -5, -5], [24, -24, 0, -1], [-8, -2, -2, 2], [3, 9, 6, 0], [0, -33, -1, -1], [0, -22, -2, -2], [12, 6, 6, -6], [0, -9, 7, 7], [10, -10, 0, -1], [-8, 3, 11, 0], [0, 1, -3, -3], [-8, -9, -1, 0], [16, 21, 5, 0], [-6, 2, 2, -2], [-13, -13, 0, 0], [12, 0, 0, 0], [3, -3, 0, 0], [0, 0, 0, -5], [26, -1, -1, 1], [0, 17, 1, 1], [0, 16, 4, 4], [0, -1, -1, 0], [10, -9, -9, 9], [0, -1, -1, -1], [0, -16, 4, 4], [-20, 10, 10, -10], [5, 1, -4, 0], [2, -2, 0, 5], [22, 4, 4, -4], [3, -3, 0, 2], [-26, -21, 5, 0], [0, 1, -7, -7], [-17, 17, 0, 6], [12, -12, 0, 7], [-8, -2, -2, 2], [-11, -17, -6, 0], [-32, 0, 0, 0], [0, 6, -2, -2], [1, 3, 2, 0], [-7, 7, 0, -10], [20, -20, 0, 9], [-6, -1, 5, 0], [-6, 3, 3, -3], [19, -19, 0, 2], [16, -16, 0, 9], [-12, 4, 4, -4], [0, -10, -10, -10], [0, 5, -11, -11], [-6, 6, 0, -9], [-4, 4, 0, -1], [0, 21, 5, 5], [-10, 9, 9, -9], [-14, -1, -1, 1], [0, 25, 1, 1], [6, -6, 0, 9], [0, 18, -6, -6], [7, 13, 6, 0], [10, -10, 0, 9], [1, -1, 0, 6], [-6, -9, -3, 0], [4, 5, 1, 0], [18, -8, -8, 8], [-8, -11, -3, 0], [11, -11, 0, -8], [-9, 3, 12, 0], [0, 9, -3, -3], [12, -14, -14, 14], [11, 7, -4, 0], [15, -15, 0, -4], [-44, 4, 4, -4], [-14, 14, 0, -1], [10, -5, -15, 0], [-16, -7, 9, 0], [-4, -8, -8, 8], [-1, -1, 0, 0], [0, -8, 4, 4], [-7, 3, 10, 0], [-30, 30, 0, -9], [-18, -7, -7, 7], [0, -11, -3, -3], [0, 37, 5, 5], [0, 12, -8, -8], [-8, 8, 0, -7], [12, -12, 0, -5], [7, 21, 14, 0], [33, 27, -6, 0], [-3, -11, -8, 0], [-16, 8, 8, -8], [-34, -3, -3, 3], [-14, -19, -5, 0], [2, 3, 3, -3], [0, -31, -3, -3], [-1, 1, 0, -8], [18, -18, 0, 5], [5, -11, -16, 0], [0, 21, 5, 5], [0, -9, -1, -1], [40, -4, -4, 4], [30, -30, 0, -5], [19, -19, 0, 4], [0, 0, 0, 0], [0, -17, -13, -13], [10, 3, 3, -3], [-37, 37, 0, -4], [16, 0, 0, 0], [-11, -9, 2, 0], [2, -2, 0, 7], [-11, 11, 0, -12], [-24, -31, -7, 0], [0, -19, -3, -3], [0, 21, -3, -3], [10, -10, 0, 11], [23, -23, 0, 4], [13, -13, -26, 0], [15, -3, -18, 0], [15, 19, 4, 0], [28, -2, -2, 2], [17, -17, 0, 8], [-18, -21, -3, 0], [-10, -6, -6, 6], [0, 13, -3, -3], [-12, -6, -6, 6], [0, 15, -1, -1], [24, -4, -4, 4], [0, -3, 9, 9], [11, -11, 0, 24], [12, 2, 2, -2], [1, -1, 0, 10], [0, 11, -5, -5], [-26, -25, 1, 0], [0, -15, -3, -3], [2, -15, -17, 0], [-15, 15, 0, -12], [-20, -2, -2, 2], [-18, -6, -6, 6], [26, 17, -9, 0], [-54, -1, -1, 1], [-38, 10, 10, -10], [24, -24, 0, 11], [0, 0, -12, -12], [-16, 16, 0, -9], [20, -4, -4, 4], [-18, -11, -11, 11], [23, -23, 0, 0], [-16, -3, 13, 0], [0, -1, 15, 15], [-8, 5, 13, 0], [0, 26, -6, -6], [-28, 28, 0, -5], [0, 3, -17, -17], [0, -15, -7, -7], [-20, -8, -8, 8], [0, 41, -3, -3], [33, 21, -12, 0], [-31, 31, 0, -8], [32, -32, 0, -3], [0, -41, 7, 7], [28, 13, -15, 0], [-48, 8, 8, -8], [8, -10, -10, 10], [0, -21, -13, -13], [-13, -23, -10, 0], [-20, 20, 0, 5], [26, -26, 0, 13], [32, 25, -7, 0], [0, -9, -1, -1], [0, -35, 1, 1], [34, 0, 0, 0], [-33, 33, 0, -2], [0, 27, -9, -9], [33, 41, 8, 0], [0, 13, -3, -3], [-48, -2, -2, 2], [-21, -15, 6, 0], [0, 0, 0, -9], [29, -29, 0, -2], [0, -23, 1, 1], [20, -20, 0, 3], [-12, 10, 10, -10], [3, -3, 0, 10], [-9, -11, -2, 0], [19, -19, 0, 14], [-4, -4, -4, 4], [0, 58, 2, 2], [18, -16, -16, 16], [6, 11, 5, 0], [38, 0, 0, 0], [-9, -3, 6, 0], [28, -2, -2, 2], [0, 12, 16, 16], [0, 53, 5, 5], [0, -16, -4, -4], [0, -67, -3, -3], [0, -53, 7, 7], [14, -11, -11, 11], [26, 11, 11, -11], [0, -33, 3, 3], [-24, 2, 2, -2], [-28, 28, 0, -13], [6, -7, -13, 0], [0, -58, 2, 2], [-8, 8, 0, -5], [-12, -2, -2, 2], [5, -5, 0, 6], [13, -7, -20, 0], [0, 25, 5, 5], [0, -9, 15, 15], [25, -25, 0, -2], [44, -44, 0, 5], [0, -21, 11, 11], [26, 33, 7, 0], [27, -27, 0, 24], [17, 5, -12, 0], [-48, -4, -4, 4], [-6, 11, 11, -11], [-26, -3, 23, 0], [0, 55, 7, 7], [-14, 15, 15, -15], [0, -39, 9, 9], [-6, -9, -3, 0]], 'char_orbit_index': 31, 'field_poly': [9, 0, 7, 0, 1], 'hecke_orbit_code': 90074054165268880, 'hecke_ring_character_values': [[2143, [1, 0, 0, 0]], [613, [1, 0, 0, 0]], [1361, [1, 0, 0, 0]], [1873, [0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 1], [-8, 1, 1, -1], [0, 5, -2, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 4, 0, 1], [4, 1, 1, 0], [-12, 7, -3, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 106325, 'label': '2448.2.be.u', 'level': 2448, 'maxp': 1999, 'weight': 2}