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

Formats: - HTML - YAML - JSON - 2026-03-03T07:21:22.888600

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], [1, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0], [1, 1, 0, -2, -2, -1], [1, 1, -2, -1, 0, 2], [0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, -1, -2], [0, 1, -3, -2, -3, 1], [0, 0, 0, 0, 0, 0], [0, 1, -2, 0, 1, 1], [3, -1, 2, -1, 0, 1], [0, 0, 0, 0, 0, 0], [-2, 1, -1, 1, -2, 0], [-1, -3, -1, -3, -1, 0], [0, 0, 0, 0, 0, 0], [-3, -1, -3, 0, 0, 0], [-3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0], [0, 3, -3, 1, -3, 3], [-2, 0, 2, 2, -1, 0], [0, 0, 0, 0, 0, 0], [4, 4, 0, 1, -5, 0], [3, -1, 0, -2, -2, -2], [0, 0, 0, 0, 0, 0], [-4, 1, 1, -1, -1, 4], [-4, -1, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-4, -6, -6, 0, 3, 3], [1, 4, 3, -3, -4, -1], [0, 0, 0, 0, 0, 0], [-2, 1, 0, 1, 1, 4], [-3, -3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0], [-3, 0, 3, 3, 3, 0], [0, -4, 3, 2, 3, -4], [0, 0, 0, 0, 0, 0], [1, 0, -3, -1, 3, 3], [-3, 4, -2, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-5, 4, 3, 4, -5, 0], [2, 3, -1, 3, 2, 0], [0, 0, 0, 0, 0, 0], [-1, 4, -2, -1, 0, 1], [5, 3, 2, -5, -5, -5], [0, 0, 0, 0, 0, 0], [0, -2, -5, -3, -5, -2], [5, 0, -5, -5, -2, 0], [0, 0, 0, 0, 0, 0], [-2, -2, 0, 1, 1, 0], [-3, 1, 0, 2, 2, 8], [0, 0, 0, 0, 0, 0], [-3, -4, -3, 3, 4, 3], [6, 0, 0, 0, -3, 3], [0, 0, 0, 0, 0, 0], [3, -2, -2, 0, -2, 4], [-5, -11, -3, 3, 11, 5], [0, 0, 0, 0, 0, 0], [4, 4, 0, -8, -8, -3], [1, 1, 7, -1, 0, -7], [0, 0, 0, 0, 0, 0], [-4, 0, 4, -1, 2, -5], [0, 4, 3, 4, 3, 4], [0, 0, 0, 0, 0, 0], [-4, 3, 0, 4, -3, -3], [-3, -1, 2, 5, 0, -5], [0, 0, 0, 0, 0, 0], [4, 1, 2, 1, 4, 0], [3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0], [2, -3, 4, 2, 0, -2], [3, -3, -6, -3, 9, 9], [0, 0, 0, 0, 0, 0], [0, 3, 3, -2, 3, 3], [1, 0, -1, 2, 5, 3], [0, 0, 0, 0, 0, 0], [-1, -1, 1, 2, -1, -1], [-3, 5, 0, -2, -2, -8], [0, 0, 0, 0, 0, 0], [5, 2, 4, -4, -2, -5], [-1, 2, 2, 0, 1, -3], [0, 0, 0, 0, 0, 0], [6, 7, 7, 0, 1, -8], [1, -2, -3, 3, 2, -1], [0, 0, 0, 0, 0, 0], [0, -3, 0, 3, 3, -6], [1, 1, 1, -4, 3, -1], [0, 0, 0, 0, 0, 0], [7, 0, -7, -5, -12, 2], [0, 3, 6, 0, 6, 3], [0, 0, 0, 0, 0, 0], [2, -4, -1, -2, 5, 5], [-6, -8, -11, -5, 0, 5], [0, 0, 0, 0, 0, 0], [-2, -5, -12, -5, -2, 0], [-8, 6, 1, 6, -8, 0], [0, 0, 0, 0, 0, 0], [-4, -5, -8, -4, 0, 4], [-3, -3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0], [0, -2, 7, 11, 7, -2]], 'ap': [[1, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0], [1, 1, -2, -1, 0, 2], [-1, 0, 1, -1, -1, -2], [3, -1, 2, -1, 0, 1], [-2, 1, -1, 1, -2, 0], [-3, 0, 0, 3, 0, 0], [0, 3, -3, 1, -3, 3], [3, -1, 0, -2, -2, -2], [1, 4, 3, -3, -4, -1], [-2, 1, 0, 1, 1, 4], [1, 0, -3, -1, 3, 3], [2, 3, -1, 3, 2, 0], [-1, 4, -2, -1, 0, 1], [5, 0, -5, -5, -2, 0], [6, 0, 0, 0, -3, 3], [1, 1, 7, -1, 0, -7], [-4, 0, 4, -1, 2, -5], [4, 1, 2, 1, 4, 0], [3, -3, -6, -3, 9, 9], [0, 3, 3, -2, 3, 3], [5, 2, 4, -4, -2, -5], [1, -2, -3, 3, 2, -1], [0, 3, 6, 0, 6, 3], [-4, -5, -8, -4, 0, 4], [-7, 0, 7, 4, 4, -3], [4, 4, -5, -8, 4, 5], [3, 0, 0, 0, 3, -3], [-10, 3, 3, 0, -3, 0], [1, 1, -5, 5, -6, 5], [0, 0, 3, 1, 3, 0], [6, -13, 0, 7, 7, 4], [1, 7, 6, -6, -7, -1], [-5, -2, 0, 7, 7, -5], [5, -9, 5, -9, 5, 0], [5, -8, 4, -1, 0, 1], [-11, -11, 7, 1, 10, -7], [-1, -3, -3, 0, -9, 12], [1, 1, 1, 2, -3, -1], [-3, -7, -7, -4, 0, 4], [3, 6, -6, -3, 0, 0], [0, -9, 3, 1, 3, -9], [1, -11, -3, 3, 11, -1], [4, -5, 0, 1, 1, 10], [0, 6, -6, -12, -6, 6], [1, -6, 0, -1, 6, 6], [1, 1, 7, -5, 4, -7], [11, 0, -11, -7, -1, 4], [-3, 11, 2, 5, 0, -5], [-2, -8, -10, -8, -2, 0], [-3, 9, 0, 3, -9, -9], [-6, 8, 0, -2, -2, 16], [-10, 2, 1, -1, -2, 10], [0, -3, -6, 15, -6, -3], [11, -6, -1, -6, 11, 0], [2, 0, -2, -5, 13, -3], [9, 0, 0, 0, 9, -9], [-7, 3, 3, 0, 3, -6], [-4, 0, 4, -13, -1, -17], [-12, 2, -16, -4, 0, 4], [-14, 7, -1, 7, -14, 0], [-9, -7, 0, 16, 16, -8], [-11, 3, -15, 11, 12, 12], [-10, 6, 2, 6, -10, 0], [-1, -5, -2, -1, 0, 1], [-4, 0, 4, 4, 25, 0], [-16, 0, 16, 20, -1, 4], [-2, 10, 8, 10, -2, 0], [-6, -1, 0, 7, 7, -11], [-4, 20, 4, -4, -20, 4], [-8, -17, -9, 9, 17, 8], [0, 0, 9, -15, 9, 0], [5, 19, 4, -1, 0, 1], [-5, -5, -11, 16, -11, 11], [-1, -18, -18, 0, 3, 15], [10, 10, -5, -13, 3, 5], [9, -4, 11, 2, 0, -2], [0, -15, 6, -8, 6, -15], [6, -4, 0, -2, -2, 4], [7, -8, 0, 1, 1, 4], [14, 0, 14, 0, 14, 0], [-16, 4, -5, 11, 0, -11], [3, 9, 9, 0, -24, 15], [-19, 15, 15, 0, -9, -6], [2, 0, -2, 14, 2, 16], [-12, -16, -7, 5, 0, -5], [18, 21, -12, -18, -9, -9], [2, -7, 7, -7, 7, -2], [10, 13, -6, 6, -13, -10], [-17, 22, 0, -5, -5, -5], [0, -12, 3, -21, 3, -12], [2, 0, -2, 13, -14, 15], [8, -9, -9, 0, 12, -3], [-8, -8, -8, 2, 6, 8], [-2, -5, 2, -5, -2, 0], [-24, -3, 3, 24, 0, 0], [15, -4, 0, -11, -11, 4], [0, 3, -3, 27, -3, 3], [-2, -15, 3, 2, 12, 12], [17, 3, 3, 0, 15, -18], [2, 0, -2, 5, -16, 7], [-15, 6, -15, 15, 9, 9], [15, -4, 0, -11, -11, -14], [-8, -2, 15, -15, 2, 8], [13, -11, 0, -2, -2, -23], [-2, 12, 3, 2, -15, -15], [-10, 0, 10, 22, -17, 12], [6, 9, 9, 0, -21, 12], [1, 1, 1, -7, 6, -1], [-7, 0, 7, 2, -19, -5], [4, 16, -10, 16, 4, 0], [0, -6, 3, -11, 3, -6], [12, -1, 0, -11, -11, 7], [-7, -13, -23, 23, 13, 7], [-8, 15, 12, 8, -27, -27], [2, 0, -2, -14, -5, -12], [10, 10, 13, 7, -17, -13], [3, -9, -9, 0, 3, 6], [19, 19, -23, -4, -15, 23], [-6, -1, 11, 17, 0, -17], [10, -20, 2, -20, 10, 0], [-7, -16, -11, 11, 16, 7], [1, 1, -18, 18, -1, -1], [0, 12, -3, 9, -3, 12], [-13, 13, 19, 32, 0, -32], [15, 0, 0, 0, 24, -24], [11, 0, -11, 2, -1, 13], [21, -12, 12, -21, 0, 0], [8, 14, -2, 2, -14, -8], [-14, 16, 0, -2, -2, 13], [19, -15, 0, -19, 15, 15], [14, 0, 23, 0, 14, 0], [10, 10, 25, -23, 13, -25], [-25, -15, -15, 0, 21, -6], [10, 10, 25, -19, 9, -25], [-5, -11, -10, -11, -5, 0], [0, -33, 6, 0, 27, 27], [19, 1, 0, -20, -20, -8], [-19, 15, -16, 15, -19, 0], [-18, -9, -9, 0, 0, 9], [17, 0, 0, 0, 3, -3], [-9, -13, -16, -7, 0, 7], [1, 4, 17, 4, 1, 0], [9, 3, 15, -9, -18, -18], [0, 6, 18, -8, 18, 6], [10, 4, 21, -21, -4, -10], [11, -17, 7, -4, 0, 4], [-1, 0, 1, 4, -17, 3], [10, 10, -29, 4, -14, 29], [3, -9, -9, 0, 21, -12], [10, -5, -10, -5, 10, 0], [-3, -18, 18, 3, 0, 0], [0, 24, 0, 1, 0, 24], [9, 2, 0, -11, -11, 1], [-4, 4, -8, -4, 0, 4], [14, 0, -14, -5, -2, 9], [11, -6, -6, 0, 12, -6], [0, 23, 11, 11, 0, -11], [0, -9, -6, -8, -6, -9], [-21, 5, 0, 16, 16, 22], [19, 10, 9, -9, -10, -19], [0, -18, 0, 3, 0, -18], [13, 13, -23, -17, 4, 23], [24, -18, -18, 0, 15, 3], [1, 1, 16, -19, 18, -16], [0, 14, 2, 2, 0, -2], [0, 0, 0, -2, 0, 0], [5, 5, 28, -28, -5, -5]], 'char_orbit_index': 5, 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'hecke_orbit_code': 36029071930426073, 'hecke_ring_character_values': [[2, [0, 0, 0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 6, 'id': 50365, 'label': '729.2.e.i', 'level': 729, 'maxp': 997, 'weight': 2}