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

Formats: - HTML - YAML - JSON - 2026-05-02T06:14:40.271829

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], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 1, 0], [0, 1, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, -2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, -1], [-2, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 2, 0, 0, -1, 2], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 2, 1, 0, 0], [-4, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -5, 0, -4, 1, 0, 0], [0, 2, -2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, -2, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, -2, 0, 0, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 1, 0], [0, 3, -4, 0, 3, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, -5, 0, 0, 2, -1], [0, 1, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0, 0, 1], [-5, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, -1, 0, 0], [1, 0, 0, -2, 0, 0, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, 0, -2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -2, 0, -4, 0, 0, 0], [0, 1, -1, 0, -2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, -1, 0, 0, 0, -1], [-4, 0, 0, 2, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4, 1], [0, -1, 5, 0, 4, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 2, 0, 0, 0, 0, 0], [-1, 0, 0, 6, 0, 0, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -7, 0, -4, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, -1, 1], [0, -4, 0, 0, -3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 4, 0, 0, -2, 1], [0, 0, 0, 0, -2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, -1, 0, 0], [0, -1, 10, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 6, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 2, 0, 0, 2, -2], [-8, 0, 0, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -2, 0, -8, -1, 0, 0], [2, 0, 0, 1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, -1]], 'ap': [[-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [2, 0, 0, 0, 0, 0, 1, 0], [0, 1, -1, 0, -2, -1, 0, 0], [0, -2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, 0, 0, -1], [-1, 0, 0, 2, 0, 0, -1, 2], 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[-59, 0, 0, 9, 0, 0, 5, -3], [0, -5, 33, 0, 4, 5, 0, 0], [0, -21, 20, 0, 4, 0, 0, 0], [-22, 0, 0, -8, 0, 0, 6, -12], [0, -15, -9, 0, 20, 16, 0, 0], [0, -8, 20, 0, 1, 5, 0, 0], [24, 0, 0, -8, 0, 0, 11, -16], [6, 0, 0, 24, 0, 0, 2, -4], [28, 0, 0, -4, 0, 0, 3, 0]], 'char_orbit_index': 1, 'field_poly': [256, 0, -320, 0, 129, 0, -20, 0, 1], 'hecke_orbit_code': 247697979538941234, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 64, 16, 64, 64, 4, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, -1, 1], [0, 6, 5, 0, 0, 1, 0, 0], [36, 0, 0, -4, 0, 0, -11, 12], [0, 47, 60, 0, -4, 16, 0, 0], [315, 0, 0, -64, 0, 0, -107, 127], [0, 422, 619, 0, -80, 191, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, -256, 0, 129, 0, -20, 0, 1], [-160, 0, 113, 0, -20, 0, 1, 0], [0, 496, 0, -389, 0, 84, 0, -5], [0, 896, 0, -581, 0, 100, 0, -5], [-64, 0, 65, 0, -16, 0, 1, 0], [-84, 0, 69, 0, -16, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 201927, 'label': '9522.2.a.cd', 'level': 9522, 'maxp': 3313, 'weight': 2}