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

Formats: - HTML - YAML - JSON - 2026-03-03T11:45:11.296475

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': 274911462105, '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': 50357, 'label': '729.2.e.a', 'level': 729, 'maxp': 997, 'weight': 2}