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

Formats: - HTML - YAML - JSON - 2026-03-04T20:02:05.520949

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, 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], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-4, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 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, 1, -1], [0, 0, 0, 0, 0, 0], [3, 1, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0], [2, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, -1], [0, 0, 0, 0, 0, 0], [-2, -4, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0], [-7, 3, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, -4, -4], [0, 0, 0, 0, 0, 0], [-3, 2, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 5, -2], [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, 0, 0, 0, 0, 0], [-3, 5, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0], [-5, 3, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, -2, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 3, 4], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 3, 0, -7, -3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -4, 0, 4, 4], [0, 0, 0, 0, 0, 0], [-9, -1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-4, -3, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 3, 3], [0, 0, 0, 0, 0, 0], [1, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0], [8, -4, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -2, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 3, 0, -4, -3], [0, 0, 0, 0, 0, 0], [-10, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, -1], [0, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 2], [0, 0, -1, 0, 1, 1], [-1, 0, 0, 0, 0, 0], [0, 0, 2, 0, -1, -1], [3, 1, 0, -2, 0, 0], [2, -2, 0, 0, 0, 0], [0, 0, -3, 0, 0, -1], [-7, 3, 0, -1, 0, 0], [0, 0, 2, 0, 2, -2], [0, 0, 2, 0, -4, -4], [0, 0, 1, 0, 5, -2], [-3, 5, 0, -2, 0, 0], [-5, 3, 0, -1, 0, 0], [0, 0, -2, 0, 3, 4], [0, 0, 0, 0, 0, 0], [0, 0, 3, 0, -7, -3], [-9, -1, 0, 1, 0, 0], [0, 0, 2, 0, 2, 0], [1, 3, 0, 3, 0, 0], [0, 0, 3, 0, -4, -3], [-1, -1, 0, -1, 0, 0], [0, 0, -2, 0, 4, 1], [0, 0, -2, 0, 5, 0], [-2, -4, 0, 3, 0, 0], [0, 0, 1, 0, -2, 3], [0, 0, 0, 0, 2, 5], [-8, -4, 0, 0, 0, 0], [0, 0, 5, 0, -7, -3], [-4, 2, 0, 0, 0, 0], [-3, 5, 0, 1, 0, 0], [5, 5, 0, 3, 0, 0], [0, 0, -9, 0, 0, 2], [0, 0, -4, 0, -2, 6], [0, 0, -4, 0, -2, -1], [0, 0, -1, 0, -4, -3], [-7, -3, 0, 1, 0, 0], [-10, 0, 0, 4, 0, 0], [0, -4, 0, -3, 0, 0], [0, 0, 1, 0, 8, -1], [0, 0, 3, 0, 4, -4], [-4, 0, 0, -1, 0, 0], [1, -3, 0, 4, 0, 0], [0, 0, 0, 0, -6, -3], [0, 0, -2, 0, 3, -6], [1, 5, 0, -1, 0, 0], [0, 0, 1, 0, -4, -4], [-12, 0, 0, 3, 0, 0], [-5, -3, 0, 3, 0, 0], [4, 8, 0, 0, 0, 0], [0, 0, 7, 0, -12, -9], [0, 0, 6, 0, 4, -6], [14, 0, 0, 0, 0, 0], [2, -4, 0, -1, 0, 0], [0, 0, -1, 0, -10, 0], [3, 1, 0, -3, 0, 0], [0, 0, 8, 0, -10, -4], [0, 0, 1, 0, -9, -4], [0, 0, -4, 0, 0, -7], [-14, -4, 0, 3, 0, 0], [0, 0, -1, 0, -3, -1], [0, 0, -5, 0, 13, 8], [23, 3, 0, 0, 0, 0], [0, 0, -5, 0, 12, 7], [0, 0, -6, 0, 2, 0], [-8, 2, 0, -2, 0, 0], [0, 0, -7, 0, 9, 1], [4, -6, 0, 1, 0, 0], [0, 0, 2, 0, 4, 4], [0, 0, 5, 0, -13, -8], [8, 0, 0, 1, 0, 0], [0, 0, 6, 0, 4, -1], [2, 0, 0, 2, 0, 0], [0, 0, -3, 0, 10, 0], [-2, 8, 0, 4, 0, 0], [14, 0, 0, -4, 0, 0], [8, -4, 0, -6, 0, 0], [-5, -3, 0, -4, 0, 0], [-19, 1, 0, 1, 0, 0], [0, 0, 1, 0, -10, 3], [1, -3, 0, 7, 0, 0], [0, 0, 4, 0, -12, -2], [26, 4, 0, -4, 0, 0], [0, 0, 7, 0, -5, 5], [-10, -8, 0, -4, 0, 0], [0, 0, -4, 0, 16, 2], [0, 0, 14, 0, -4, 2], [-8, -6, 0, 4, 0, 0], [0, 0, -6, 0, 6, 1], [-4, -8, 0, -2, 0, 0], [18, 4, 0, 4, 0, 0], [0, 0, -2, 0, 3, -1], [1, -5, 0, -5, 0, 0], [14, -4, 0, -6, 0, 0], [0, 0, 4, 0, 11, -4], [9, 5, 0, 1, 0, 0], [0, 0, -6, 0, 20, 7], [0, 0, 7, 0, 10, -8], [0, 0, 6, 0, 4, -1], [14, 4, 0, -6, 0, 0], [-2, 8, 0, -8, 0, 0], [0, 0, 9, 0, 1, 3], [0, 0, -2, 0, 10, 4], [0, 0, 7, 0, -20, -12], [21, 9, 0, -1, 0, 0], [11, -11, 0, 1, 0, 0], [0, 0, 18, 0, 2, -3], [0, 0, 5, 0, 6, -8], [0, 0, 3, 0, 0, -2], [-8, -2, 0, 4, 0, 0], [18, 8, 0, -2, 0, 0], [-17, 1, 0, 11, 0, 0], [0, 0, 2, 0, -2, -16], [0, 0, -6, 0, -11, 5], [0, 0, -15, 0, 2, 0], [-9, 3, 0, -2, 0, 0], [17, -5, 0, 0, 0, 0], [0, 0, -11, 0, 10, 9], [0, 0, -17, 0, 5, 0], [0, 0, 2, 0, -4, 11], [18, 4, 0, -4, 0, 0], [-13, -9, 0, -5, 0, 0], [-12, 6, 0, -2, 0, 0], [-22, 4, 0, -3, 0, 0], [0, 0, -4, 0, 5, -1], [0, 0, -5, 0, -6, -10], [0, 12, 0, -6, 0, 0], [0, 0, -4, 0, -6, -1], [35, 7, 0, 1, 0, 0], [0, 0, -17, 0, -4, 0], [-5, 11, 0, -2, 0, 0], [9, 1, 0, 0, 0, 0], [0, 0, -3, 0, -9, 0], [0, 0, 8, 0, -5, 8], [0, 0, -1, 0, 7, 14], [4, 6, 0, -9, 0, 0], [4, 8, 0, -7, 0, 0], [24, -6, 0, 0, 0, 0], [0, 0, -4, 0, 9, -5], [0, 0, -20, 0, 15, 6], [30, 4, 0, 3, 0, 0], [-5, -5, 0, 7, 0, 0], [0, 0, 5, 0, -4, -8], [0, 0, 11, 0, 2, 1], [-4, -8, 0, 8, 0, 0], [0, 0, 0, 0, 12, 1], [0, 0, -13, 0, -3, -12], [5, -11, 0, 7, 0, 0], [0, 0, -6, 0, 2, 6], [0, 0, -18, 0, 12, 5], [0, 0, 6, 0, -15, -12], [-1, -13, 0, 3, 0, 0], [-8, -4, 0, 1, 0, 0], [36, 6, 0, -5, 0, 0], [0, 0, -15, 0, 3, -1], [2, 0, 0, -1, 0, 0], [0, 0, 24, 0, -16, -6], [0, 0, 13, 0, 6, 7], [0, 0, -6, 0, 0, -10], [-12, 8, 0, -8, 0, 0], [0, 0, -9, 0, 8, 17], [0, 0, -10, 0, -2, -3], [-3, -11, 0, 3, 0, 0], [0, 0, 1, 0, -12, 2], [-7, -13, 0, 9, 0, 0], [0, 0, -9, 0, 8, 6], [30, 10, 0, -3, 0, 0], [18, 16, 0, -1, 0, 0], [-10, 16, 0, 2, 0, 0], [0, 0, 11, 0, -5, 1], [-6, -6, 0, -8, 0, 0], [3, -1, 0, 5, 0, 0], [24, -12, 0, 6, 0, 0], [-13, 3, 0, 9, 0, 0], [0, 0, 4, 0, -10, -17], [-9, -5, 0, -3, 0, 0], [0, 0, -14, 0, -13, -1], [4, -12, 0, 5, 0, 0], [0, 0, -9, 0, 0, -1], [0, 0, 7, 0, -26, -13], [0, 0, 20, 0, -21, -9], [4, 10, 0, 2, 0, 0], [0, 0, -13, 0, -15, 10], [0, 0, -10, 0, -12, 3], [26, 8, 0, -6, 0, 0], [-36, 0, 0, 1, 0, 0], [0, 0, 17, 0, 2, -5], [0, 0, -10, 0, 20, 2], [12, 0, 0, 0, 0, 0], [-13, -7, 0, -6, 0, 0], [0, 0, 10, 0, -24, -8], [0, 0, -3, 0, 8, 9], [10, 0, 0, -9, 0, 0], [0, 0, 5, 0, 6, 6], [0, 0, -3, 0, -11, -9], [0, 0, -6, 0, -15, -13], [-21, 5, 0, 5, 0, 0], [17, 9, 0, 5, 0, 0], [0, 0, -5, 0, -5, 6], [-11, 11, 0, 3, 0, 0], [28, 14, 0, 2, 0, 0], [0, 0, 17, 0, -10, 4], [16, -2, 0, -5, 0, 0], [0, 0, -2, 0, 5, -6], [-6, -4, 0, -11, 0, 0], [-16, 0, 0, 3, 0, 0], [0, 0, -13, 0, -5, 1], [-1, 7, 0, -9, 0, 0], [0, 0, -28, 0, 16, 6], [0, 0, -8, 0, 5, 8], [28, 0, 0, 6, 0, 0], [35, 1, 0, -9, 0, 0], [0, 0, -10, 0, 13, -5], [16, 18, 0, -2, 0, 0], [0, 0, 4, 0, 22, 1], [0, 0, -9, 0, -4, 16], [29, 7, 0, 3, 0, 0], [22, -2, 0, -12, 0, 0], [25, 11, 0, -7, 0, 0], [0, 0, 2, 0, 11, 11], [0, 0, 2, 0, -3, 0], [6, -16, 0, -4, 0, 0], [0, 0, 17, 0, -20, -5], [-2, 6, 0, -6, 0, 0], [0, 0, 2, 0, -4, -3], [-34, 2, 0, 12, 0, 0], [0, 0, 7, 0, -10, -22], [6, 10, 0, 3, 0, 0], [15, -21, 0, 3, 0, 0], [-11, 3, 0, -13, 0, 0], [0, 0, 0, 0, 18, 12], [0, 0, 6, 0, -1, -11], [-13, 7, 0, 1, 0, 0], [0, 0, -7, 0, 8, 8], [-30, -4, 0, -4, 0, 0], [1, -11, 0, 11, 0, 0], [0, 0, -12, 0, 0, 13], [12, 0, 0, 4, 0, 0], [0, 0, -2, 0, 17, 11], [9, 11, 0, -4, 0, 0], [0, 0, 21, 0, 8, -5], [-14, 26, 0, -6, 0, 0], [0, 0, -10, 0, -4, -4], [-27, 13, 0, -3, 0, 0], [-18, -14, 0, 14, 0, 0], [0, 0, -2, 0, 7, -7], [0, 0, 5, 0, 14, 2], [0, -14, 0, 3, 0, 0], [0, 0, -10, 0, 13, 13], [-10, -16, 0, -6, 0, 0], [0, 0, 11, 0, 4, -12], [-52, -8, 0, 4, 0, 0], [14, 4, 0, -8, 0, 0], [0, 0, 4, 0, 0, -13], [0, 0, -7, 0, 20, 25], [0, 0, 7, 0, -4, 2], [0, 0, 6, 0, 22, -1], [0, 0, 2, 0, 12, 1], [-31, 1, 0, 3, 0, 0], [0, 0, 17, 0, 13, 6], [0, 0, 21, 0, 4, -4], [-37, -5, 0, 20, 0, 0], [-9, -23, 0, 4, 0, 0], [-31, 13, 0, -4, 0, 0], [0, 0, -14, 0, -5, -20], [0, 0, 5, 0, -2, 18], [-8, -18, 0, 1, 0, 0], [0, 0, -12, 0, 13, -8], [0, 0, -7, 0, -15, -7], [12, -18, 0, 9, 0, 0], [0, 0, 3, 0, 22, -9], [0, 0, -6, 0, 21, 15], [0, 0, -8, 0, -20, 4], [-1, 1, 0, -6, 0, 0], [23, 1, 0, -5, 0, 0], [0, 14, 0, -12, 0, 0], [0, 0, -14, 0, 30, 5], [-42, -4, 0, 7, 0, 0], [0, 0, -22, 0, -7, 5], [0, 10, 0, -15, 0, 0], [0, 0, 20, 0, -16, -22], [32, 10, 0, 8, 0, 0], [0, 0, 3, 0, -7, -29], [0, 0, -3, 0, 0, 1], [-26, 10, 0, -1, 0, 0], [34, -8, 0, -4, 0, 0], [-12, -2, 0, 16, 0, 0], [0, 0, -24, 0, 32, 16], [0, 0, 9, 0, 14, -7], [27, 3, 0, -9, 0, 0], [0, 0, -9, 0, -20, -3], [-33, -5, 0, 13, 0, 0], [30, -6, 0, -8, 0, 0], [0, 0, 3, 0, -8, 0], [-26, 10, 0, 9, 0, 0], [0, 0, 22, 0, -24, -8], [0, 0, -1, 0, 24, 22], [0, 0, 27, 0, -31, -14], [34, -4, 0, -11, 0, 0]], 'char_orbit_index': 4, 'field_poly': [8, -8, 6, -6, 3, -2, 1], 'hecke_orbit_code': 58547001347804888, 'hecke_ring_character_values': [[951, [1, 0, 0, 0, 0, 0]], [1901, [1, 0, 0, 0, 0, 0]], [1977, [-1, 0, 0, 0, 0, 0]], [401, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 2, 2, 4, 4], 'hecke_ring_inverse_denominators': [1, 4, 4, 4, 4, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, -1, -1, 1, 2, 2], [-2, 0, -1, 2, -2, 0], [5, 3, 3, 1, -2, -2], [6, -4, 5, 2, 2, 0], [7, -7, -3, 3, -6, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [-2, 2, -1, 2, -1, 0], [-8, 2, -4, 3, 0, 1], [4, 0, 5, -1, 1, -1], [12, -2, 6, -5, 2, -3], [-28, 14, -16, 11, -4, 5]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 134632, 'label': '3800.2.d.n', 'level': 3800, 'maxp': 1999, 'weight': 2}