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

Formats: - HTML - YAML - JSON - 2026-04-22T19:19:56.884381

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, 0, 0, 0], [-1, 0, -1, -1], [1, 0, 0, 0], [-2, 0, 1, 0], [-1, 0, -1, -1], [0, -1, 0, 2], [1, 0, 0, 0], [0, 1, 2, 2], [-2, 0, 1, 0], [-1, 2, 1, 0], [-1, 0, -1, -1], [-2, -2, 0, 1], [0, -1, 0, 2], [0, 0, 1, 1], [1, 0, 0, 0], [-4, 2, -1, -3], [0, 1, 2, 2], [-1, 1, 0, 1], [-2, 0, 1, 0], [1, -1, 1, 2], [-1, 2, 1, 0], [-3, -1, 1, -3], [-1, 0, -1, -1], [2, -1, -4, 1], [-2, -2, 0, 1], [-2, -3, 0, -1], [0, -1, 0, 2], [0, 1, -2, -1], [0, 0, 1, 1], [0, -3, 0, 3], [1, 0, 0, 0], [-3, -2, -2, -4], [-4, 2, -1, -3], [-2, 3, 0, -5], [0, 1, 2, 2], [-1, 0, -2, -2], [-1, 1, 0, 1], [4, 1, 4, 6], [-2, 0, 1, 0], [-4, 2, -2, -2], [1, -1, 1, 2], [0, 2, 0, -3], [-1, 2, 1, 0], [4, -1, -4, -1], [-3, -1, 1, -3], [-6, 0, 2, -2], [-1, 0, -1, -1], [-5, 4, -3, -8], [2, -1, -4, 1], [4, 1, 3, 1], [-2, -2, 0, 1], [1, -2, -2, 2], [-2, -3, 0, -1], [5, -3, -3, 3], [0, -1, 0, 2], [0, -2, 0, -1], [0, 1, -2, -1], [1, -1, -2, 2], [0, 0, 1, 1], [1, -3, 2, 5], [0, -3, 0, 3], [-2, 2, -1, -6], [1, 0, 0, 0], [3, 3, -2, -4], [-3, -2, -2, -4], [1, -1, 1, -3], [-4, 2, -1, -3], [2, 4, 3, 4], [-2, 3, 0, -5], [0, 4, 0, -3], [0, 1, 2, 2], [0, 1, -1, -1], [-1, 0, -2, -2], [7, 0, 3, 4], [-1, 1, 0, 1], [-2, -2, 2, 1], [4, 1, 4, 6], [2, -1, 4, -1], [-2, 0, 1, 0], [5, 1, -1, 2], [-4, 2, -2, -2], [4, 1, -1, 7], [1, -1, 1, 2], [8, -4, -2, 7], [0, 2, 0, -3], [3, 0, 1, 0], [-1, 2, 1, 0], [5, -3, 6, 10], [4, -1, -4, -1], [1, 7, -3, -11], [-3, -1, 1, -3], [3, 0, 3, 6], [-6, 0, 2, -2], [1, 0, -1, -1], [-1, 0, -1, -1], [-4, 3, 0, -1], [-5, 4, -3, -8], [12, 0, 4, 9], [2, -1, -4, 1]], 'ap': [[1, 0, 0, 0], [-1, 0, -1, -1], [-2, 0, 1, 0], [0, -1, 0, 2], [-1, 2, 1, 0], [-2, -2, 0, 1], [-4, 2, -1, -3], [-1, 1, 0, 1], [-3, -1, 1, -3], [0, 1, -2, -1], [0, -3, 0, 3], [-1, 0, -2, -2], [-4, 2, -2, -2], [0, 2, 0, -3], [-6, 0, 2, -2], [1, -2, -2, 2], [1, -1, -2, 2], [1, -3, 2, 5], [1, -1, 1, -3], [0, 4, 0, -3], [0, 1, -1, -1], [2, -1, 4, -1], [4, 1, -1, 7], [5, -3, 6, 10], [-4, 3, 0, -1], [-8, 0, -1, -16], [0, -3, -3, -6], [10, -2, 1, 17], [11, -7, 0, 12], [-3, -2, 0, 0], [0, -2, 3, 6], [-1, -7, -1, 0], [-4, -4, -6, 1], [0, 9, 3, -6], [-4, -8, 3, -3], [-2, 4, -1, -10], [-5, 1, 11, 8], [10, 5, 1, 3], [-14, 1, -1, 1], [-4, 1, 4, 2], [6, -2, 8, 3], [5, 1, -11, -5], [-9, 2, -2, -10], [5, -2, 7, 6], [-1, 4, -1, 1], [3, -3, 2, 2], [8, -7, 2, 2], [-2, 2, 7, 3], [0, -1, -12, -3], [-9, 12, 8, 3], [7, -5, -4, 9], [-5, -5, -3, -4], [-13, 2, 4, -8], [-18, 14, -5, -18], [-5, 6, 3, 11], [-1, 11, -8, -5], [12, 9, -4, 8], [-6, -5, -5, -1], [-12, 0, 3, -4], [-5, 10, -13, -10], [14, -7, -10, -5], [-13, -7, 0, 3], [-9, 3, 17, 15], [-3, -2, -10, -3], [-1, -3, 10, 11], [-5, 7, 9, -8], [13, 6, -2, 5], [-17, -2, -3, -13], [-4, -2, 11, 1], [-13, -10, 9, 1], [8, 1, 5, 16], [-1, -9, -4, -6], [-3, 10, -18, -14], [15, -9, 5, 7], [9, -7, -10, 9], [-10, 12, 13, 9], [1, 0, 0, 0], [-10, 7, 15, 13], [-5, -5, -1, 6], [-5, 1, 6, 3], [-6, -6, -2, -1], [12, 0, -10, 1], [7, 8, 14, -2], [10, 2, -2, -3], [-5, 11, 3, -10], [-13, -11, -3, -3], [-11, 9, -10, -12], [-5, 3, 8, 16], [6, -7, 10, 9], [3, 3, 7, 0], [-18, 6, -14, -21], [2, -3, -2, -3], [-16, 12, 11, 7], [2, 2, -11, 1], [29, -4, 4, 15], [-17, 11, 10, -3], [-13, -8, -12, 9], [14, 7, -2, 7], [2, 8, -1, -6], [-4, 13, 18, -5], [9, -7, -1, 3], [-11, 10, 2, -8], [-24, 9, -6, -24], [26, -7, -7, 0], [13, -20, -11, -6], [8, -10, -7, 15], [-20, -8, 3, -2], [14, -19, 3, 17], [-4, -2, -17, 5], [12, -17, -1, 5], [1, 13, -12, -14], [12, 3, -14, -10], [-4, -15, 3, 13], [1, -7, 20, 3], [7, -5, -6, -4], [10, 14, -8, 9], [29, 9, -2, 10], [14, -4, 3, 35], [-14, -1, -8, -30], [18, 10, -7, -6], [-5, 7, -14, -22], [13, -8, -11, -15], [-2, 14, 14, -14], [-10, 2, -7, -18], [29, -3, 1, 11], [-11, -3, -4, -16], [-5, -12, 1, -10], [20, -13, 15, 29], [18, -16, -13, 6], [6, 6, 0, -4], [19, -10, 4, 31], [15, -6, -12, 11], [35, -7, -3, -4], [27, -12, -11, -2], [-10, 21, -2, -6], [-16, 27, -5, -16], [21, -21, -3, 9], [5, -2, 4, -18], [-30, 9, 10, 8], [5, 5, 15, -5], [6, 11, -14, -14], [2, 0, 9, -2], [23, -19, 7, 26], [-23, 9, -10, -30], [-11, 2, -2, -23], [-13, 2, 17, 18], [8, -10, -9, -3], [-2, -9, -12, -5], [-5, 13, 1, -10], [-18, -4, -1, -22], [-13, 16, 1, -24], [21, -19, -3, 19], [-25, 10, -8, -14], [-27, 7, 9, -21], [6, -12, 18, 12], [10, -15, 0, 8], [3, 3, -17, -5], [12, -9, 10, 7], [-30, 14, -7, -27], [0, 12, -5, -7], [-8, 4, -8, 6], [-10, -5, -19, -24], [2, -7, -12, -4], [17, -16, 10, 16], [-19, 5, -5, -5], [-12, -11, -10, -12], [-22, -1, 5, 9], [-11, -7, -10, -9]], 'char_orbit_index': 1, 'field_poly': [1, 4, -4, -1, 1], 'hecke_orbit_code': 33555210, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [2, 0, 1, 0], [0, 3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-2, 0, 1, 0], [0, -3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 52629, 'label': '778.2.a.a', 'level': 778, 'maxp': 997, 'weight': 2}