Database - mf_hecke_nf ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-03-01T06:50:31.858447

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, -1, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 1, 1, 1, -1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0], [-3, -2, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [3, 1, 0, -1, -1, -1], [0, 2, -1, 0, -1, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0], [3, 3, 1, 1, -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, 0, 0, -2, 0, 0], [0, -3, 1, 0, 3, -1], [5, 0, 0, 0, 0, 0], [-5, 0, -3, 1, -1, 1], [-2, 0, 3, 4, 3, 0], [0, 0, 0, 0, 0, 0], [0, 2, 3, 0, -1, -2], [0, 0, 0, 0, 0, 0], [0, 4, -1, 0, 1, -2], [0, 0, -3, 0, -2, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-5, -3, -3, -1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, -4, -1, -4, -3, 2], [0, 0, 0, 0, 0, 0], [0, -2, 3, 0, 1, -4], [0, 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, 0, 0, 2, 2], [0, -4, 3, 0, 1, 2], [7, 0, 1, -1, -2, 2], [-7, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 5, 0, 3, -1, -1], [0, 0, 0, 0, 0, 0], [3, 2, -3, -3, -7, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 1, -3, 3, -3], [-2, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [7, 0, -3, 1, 1, -1], [0, 0, 0, 0, 0, 0], [-5, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -6, -1, 0, 3, -2], [0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 5, -2], [3, 5, 5, 3, 3, -1], [0, -2, -5, 0, 1, 4], [0, 0, 0, 0, 0, 0], [0, 0, -5, 0, -5, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-9, -2, 5, 1, 5, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [9, 12, 2, 0, -6, 4], [7, 0, 5, -3, 3, -3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 4, -5, -4, -3, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -3, 0, -4, 4], [-2, 2, -5, 0, -1, 6], [-5, 0, 1, -3, -3, 3], [0, 0, 0, 0, 0, 0], [-9, -7, 0, -1, 1, 1], [0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0]], 'ap': [[0, -1, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, -1, 0, -1, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, -2, 0, 0], [0, 2, 3, 0, -1, -2], [0, 4, -1, 0, 1, -2], [0, 0, 0, 0, 0, 0], [0, -2, 3, 0, 1, -4], [0, 0, 0, 0, 0, 0], [0, -4, 3, 0, 1, 2], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 5, -2], [0, -2, -5, 0, 1, 4], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -4, -5, 0, -7, 2], [0, -8, 3, 0, -1, 4], [0, 0, 0, 0, 0, 0], [0, -8, -1, 0, -5, 4], [0, 0, 0, 0, 0, 0], [0, -4, 7, 0, 5, 2], [0, 0, 0, 0, 0, 0], [0, 8, -5, 0, -1, -4], [2, 0, 0, -4, 0, 0], [-18, 0, 0, 0, 0, 0], [0, 8, 3, 0, 7, -4], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -10, -1, 0, 5, -4], [0, 10, 3, 0, -5, 2], [0, 0, 0, 0, 0, 0], [6, 0, 0, -12, 0, 0], [-6, 0, 0, 12, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -2, -9, 0, 1, 8], [0, 4, -9, 0, -7, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -10, 3, 0, 5, -8], [0, 0, 0, 0, 0, 0], [0, 2, -9, 0, -1, 10], [-6, 0, 0, 12, 0, 0], [0, 10, 7, 0, -5, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [6, 0, 0, -12, 0, 0], [0, -4, -9, 0, -11, 2], [0, 0, 0, 0, 0, 0], [30, 0, 0, 0, 0, 0], [0, 8, 7, 0, 11, -4], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 4, 0, 0], [0, 2, 11, 0, -1, -10], [0, -10, -9, 0, 5, 4], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -14, -5, 0, 7, -2], [0, 0, 0, 0, 0, 0], [0, 14, -1, 0, -7, 8], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 4, 11, 0, 13, -2], [0, -8, -9, 0, -13, 4], [18, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -14, 3, 0, 7, -10], [-6, 0, 0, 12, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 4, -13, 0, -11, -2], [0, -16, 3, 0, -5, 8], [0, 16, -1, 0, 7, -8], [0, 0, 0, 0, 0, 0], [0, -14, -9, 0, 7, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, -13, 0, -1, 14], [0, -16, 7, 0, -1, 8], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -10, -13, 0, 5, 8], [0, 16, 3, 0, 11, -8], [-30, 0, 0, 0, 0, 0], [2, 0, 0, -4, 0, 0], [0, 14, 11, 0, -7, -4], [-6, 0, 0, 12, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -4, 15, 0, 13, 2], [0, 2, 15, 0, -1, -14], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -10, 11, 0, 5, -16], [0, 0, 0, 0, 0, 0], [0, -8, 15, 0, 11, 4], [6, 0, 0, -12, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [10, 0, 0, -20, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -8, -13, 0, -17, 4], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 14, -9, 0, -7, 16], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [42, 0, 0, 0, 0, 0], [0, 16, -13, 0, -5, -8], [54, 0, 0, 0, 0, 0], [0, -20, -1, 0, -11, 10], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-10, 0, 0, 0, 0, 0], [0, 14, 15, 0, -7, -8], [0, 8, -17, 0, -13, -4], [0, 20, -9, 0, 1, -10], [14, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [6, 0, 0, -12, 0, 0], [0, 20, 3, 0, 13, -10], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 22, 3, 0, -11, 8], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -16, 15, 0, 7, 8], [0, 0, 0, 0, 0, 0], [0, -4, -17, 0, -19, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-6, 0, 0, 12, 0, 0], [-26, 0, 0, 0, 0, 0]], 'char_orbit_index': 2, 'field_poly': [8, 0, 0, -3, 0, 0, 1], 'hecke_orbit_code': 4503668380401756, 'hecke_ring_character_values': [[47, [-1, 0, 0, 0, 0, 0]], [5, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 4, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 1], [0, 0, 3, 0, 2, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [-1, 0, 0, 1, 0, 0], [0, -2, -3, 0, 2, 1], [0, -2, 3, 0, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 11032, 'label': '92.2.b.b', 'level': 92, 'maxp': 997, 'weight': 2}