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

Formats: - HTML - YAML - JSON - 2026-06-24T01:09:51.569434

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, 2, 0, 0], [0, 1, 0, -1], [0, 0, 2, 0], [2, -1, -2, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 2, 0], [0, 4, -2, -4], [0, 0, 3, 0], [0, 2, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-1, 0, 0, -2], [4, 0, -4, 0], [0, -7, 0, 7], [0, -4, 0, 4], [0, 0, 0, 0], [4, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 6], [0, -6, 0, 0], [0, 0, 0, 0], [0, -4, -3, 4], [-2, 0, 2, 0], [0, 0, 0, 5], [0, 0, 0, 0], [5, 0, 0, 0], [4, -2, -4, 0], [0, 0, -2, 0], [0, 8, 0, -8], [0, 3, 0, 0], [-14, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [-6, 0, 6, 0], [0, 2, 4, -2], [0, 0, -12, 0], [0, -3, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [-8, 0, 0, -6], [-7, 0, 7, 0], [0, -2, 0, 2], [0, 6, 0, -6], [-10, 0, 10, 0], [6, 0, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 10, 0, 0], [0, 0, 10, 0], [0, 4, -2, -4], [8, 0, -8, 0], [0, 0, 0, -4], [0, 0, 0, 0], [8, 0, 0, 0], [1, 2, -1, 0], [0, 0, 6, 0], [0, -2, 0, 2], [0, -14, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, -6], [0, 0, 4, 0], [-4, -3, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [-5, 0, 5, 0], [0, -4, -8, 4], [0, 0, -1, 0], [0, 4, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [7, 0, 0, 14], [8, 0, -8, 0], [0, 5, 0, -5], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 8], [0, 0, 0, 0], [0, 0, 0, -12], [0, -2, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [8, 0, -8, 0], [0, 0, 0, -7], [0, 0, 0, 0], [-6, 0, 0, 0], [6, -8, -6, 0]], 'ap': [[0, 2, 0, 0], [0, 1, 0, -1], [2, -1, -2, 0], [0, 0, 0, 0], [0, 0, 3, 0], [0, 0, 0, 1], [0, -7, 0, 7], [0, 0, 0, 0], [0, -6, 0, 0], [5, 0, 0, 0], [0, 0, -2, 0], [0, 2, 0, 0], [2, 0, 0, 0], [0, 0, 0, -4], [0, -3, 0, 0], [0, 6, 0, -6], [0, 0, 10, 0], [8, 0, -8, 0], [0, -2, 0, 2], [-8, 0, 0, 0], [0, 6, 0, -6], [-5, 0, 5, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, 0, 0, -7], [0, 0, -12, 0], [0, 19, 0, 0], [0, -8, 0, 0], [0, 0, 5, 0], [0, 0, 0, 6], [0, 0, 0, -2], [-22, 0, 22, 0], [0, -12, 0, 12], [10, 0, 0, 0], [10, 0, -10, 0], [0, 0, 13, 0], [0, 18, 0, -18], [0, 14, 0, 0], [0, 0, 0, 3], [0, 9, 0, 0], [0, 0, -20, 0], [-18, 0, 0, 0], [3, 0, -3, 0], [0, 16, 0, -16], [0, 0, 0, -2], [0, 0, -10, 0], [-13, 0, 0, 0], [0, 0, 0, 21], [0, -17, 0, 17], [-10, 0, 10, 0], [0, -16, 0, 0], [-15, 0, 0, 0], [0, 0, -22, 0], [-18, 0, 0, 0], [0, 22, 0, 0], [0, -24, 0, 24], [0, 0, 10, 0], [8, 0, -8, 0], [0, -2, 0, 2], [7, 0, 0, 0], [0, 11, 0, -11], [0, 0, 0, -9], [0, 0, 0, -7], [0, 0, -12, 0], [0, -21, 0, 0], [0, 12, 0, 0], [-12, 0, 12, 0], [0, 0, 0, 18], [0, 18, 0, -18], [20, 0, 0, 0], [0, 11, 0, -11], [-20, 0, 20, 0], [0, 3, 0, -3], [0, 24, 0, 0], [-20, 0, 0, 0], [0, -16, 0, 0], [0, 0, 5, 0], [0, 7, 0, 0], [3, 0, -3, 0], [0, 0, 20, 0], [-30, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 23, 0], [0, 0, 0, 26], [30, 0, -30, 0], [0, 4, 0, 0], [5, 0, 0, 0], [0, -38, 0, 0], [12, 0, 0, 0], [0, 0, 0, 36], [0, 27, 0, 0], [0, 0, -30, 0], [0, -42, 0, 42], [7, 0, 0, 0], [-35, 0, 35, 0], [0, 0, 0, -9], [-30, 0, 30, 0], [0, 0, 28, 0], [0, 4, 0, 0], [-27, 0, 27, 0], [0, 0, 0, -32], [0, 28, 0, -28], [0, -24, 0, 24], [-30, 0, 30, 0], [0, 0, -12, 0], [0, 43, 0, -43], [0, 0, 0, -12], [0, -41, 0, 0], [0, 0, 25, 0], [-8, 0, 0, 0], [0, 27, 0, 0], [0, -44, 0, 44], [0, 0, 0, -22], [0, 0, 10, 0], [37, 0, 0, 0], [0, 0, -22, 0], [0, 0, 0, 1], [0, 8, 0, -8], [0, 4, 0, 0], [15, 0, 0, 0], [0, 0, -12, 0], [0, 0, 0, -24], [0, -43, 0, 0], [0, 16, 0, -16], [8, 0, -8, 0], [-13, 0, 0, 0], [35, 0, -35, 0], [30, 0, -30, 0], [0, 0, 0, 28], [0, -1, 0, 0], [0, 0, -35, 0], [0, 0, 0, -14], [33, 0, -33, 0], [0, 0, 0, -32], [-2, 0, 2, 0], [0, 0, 0, 0], [0, 21, 0, -21], [0, -17, 0, 17], [0, 0, 0, 13], [0, 0, 45, 0], [-38, 0, 0, 0], [23, 0, -23, 0], [0, 26, 0, -26], [0, 0, 0, 18], [0, 0, -30, 0], [-30, 0, 0, 0], [0, 0, 0, -54], [0, -42, 0, 42], [40, 0, -40, 0], [0, 54, 0, 0], [0, 32, 0, 0], [32, 0, 0, 0], [0, 0, 0, 36], [0, -28, 0, 0], [0, 38, 0, -38], [12, 0, 0, 0], [-5, 0, 5, 0], [-50, 0, 50, 0], [0, 0, 0, 13], [0, 0, 48, 0], [0, 42, 0, 0], [0, 0, 0, 6], [0, 0, 0, 8], [-22, 0, 22, 0], [0, -12, 0, 12], [0, 51, 0, -51], [0, 0, 8, 0], [0, 13, 0, -13]], 'char_orbit_index': 10, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 18015017018327285, 'hecke_ring_character_values': [[197, [-1, 0, 0, 0]], [101, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'id': 23038, 'label': '245.2.j.e', 'level': 245, 'maxp': 997, 'weight': 2}