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

Formats: - HTML - YAML - JSON - 2026-03-04T06:16:16.007036

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, 0, 0, 0, 0], [-3, 0, 1, -2, 1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0], [2, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0], [2, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0], [0, 2, 0, -1, 0, -2], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1], [0, -1, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0], [-1, -1, 1, 0, 2, -1], [3, 0, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 3, 0, -1, 0, -2], [3, 1, -3, 1, -2, 2], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0], [0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-4, 3, -1, -2, 2, -2], [-1, 1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [-3, 1, 1, -1, 2, -2], [0, 0, 0, 0, 0, 0], [9, 4, -3, 10, 1, -1], [0, -1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [-3, 0, 2, 0, 5, 0], [7, -1, -2, 5, 0, 3], [0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, -1], [0, 3, 0, 2, 0, -1], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 1], [-7, 3, 0, -4, 3, -3], [0, 0, 0, 0, 0, 0], [-9, 0, 4, 0, -1, 0], [1, -1, 2, 2, 1, -1], [0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, -2, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -10, 0, -5], [2, 3, 1, 6, 4, -4], [0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, 1], [-5, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 2, 0], [0, 1, 0, -2, 0, 1], [0, 0, 0, 0, 0, 0], [5, 2, -4, 3, -2, 2], [0, 0, 0, 4, 0, 1], [0, 0, 0, 0, 0, 0], [-5, 0, 2, 0, 5, 0], [-5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [8, 0, -2, 6, -2, 2], [-14, 0, 7, 0, 1, 0], [0, 0, 0, 0, 0, 0], [3, -2, 0, 1, -2, 2], [0, -2, 0, 8, 0, 3], [0, 0, 0, 0, 0, 0], [0, -1, 0, -7, 0, -2], [0, -8, 0, -3, 0, 8], [0, 0, 0, 0, 0, 0], [-1, -2, 5, 5, -2, 2], [6, 0, 1, 0, -3, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, -8, 0, 2], [-2, -1, 2, -1, 1, -1], [0, 0, 0, 0, 0, 0], [-13, 0, 4, -9, 4, -4], [2, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 1, -3, 0, -2, 2], [-12, -2, 3, -11, 1, -1], [0, 0, 0, 0, 0, 0], [-3, 0, -2, 0, 2, 0], [-2, 0, -4, -6, -4, 4], [0, 0, 0, 0, 0, 0], [5, -5, 0, 0, -5, 5], [0, -6, 0, -15, 0, -2], [0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0], [1, 2, -2, 1, -1, -1], [0, 0, 0, 0, 0, 0], [0, -1, 0, 3, 0, -3], [0, 0, 0, -6, 0, -5], [0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1]], 'ap': [[0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [1, 0, 0, 0, -1, 0], [2, 0, 0, 0, -1, 0], [5, 0, 0, 5, 0, 0], [0, -1, 0, 0, 0, -2], [-1, -1, 1, 0, 2, -1], [3, 1, -3, 1, -2, 2], [-1, 1, 0, 0, 1, -1], [0, 0, -1, 0, 0, 0], [-3, 0, 2, 0, 5, 0], [0, 3, 0, 2, 0, -1], [0, 2, 0, 0, 0, 1], [1, -1, 2, 2, 1, -1], [2, 3, 1, 6, 4, -4], [0, 1, 0, -2, 0, 1], [5, 2, -4, 3, -2, 2], [8, 0, -2, 6, -2, 2], [0, -2, 0, 8, 0, 3], [0, -1, 0, -7, 0, -2], [0, 2, 0, -8, 0, 2], [2, 0, -3, 0, 0, 0], [-2, 0, -4, -6, -4, 4], [0, -1, 0, 3, 0, -3], [0, -5, 1, -4, -4, 4], [7, 0, -5, 0, -6, 0], [-1, 0, -3, 0, -4, 0], [0, -6, 0, -4, 0, 5], [-6, 0, 6, 0, 7, 0], [-2, 6, -6, -2, 0, 0], [0, -5, 0, -6, 0, 5], [-1, 0, -5, -6, -5, 5], [-1, 0, 2, 1, 2, -2], [0, 1, 0, 3, 0, -2], [-11, 0, -4, 0, 0, 0], [0, 0, 0, 5, 0, -1], [2, 0, 5, 0, 6, 0], [9, 1, 0, 10, 1, -1], [0, 3, 0, 2, 0, -3], [13, 0, 1, 0, 2, 0], [1, 6, -8, -1, -2, 2], [8, 0, -6, 0, 0, 0], [0, -1, 0, -10, 0, -2], [-5, 0, -6, 0, -1, 0], [-1, 0, -3, -4, -3, 3], [0, -4, 0, -12, 0, 4], [0, 9, 0, 5, 0, -3], [-4, 0, 0, 0, 0, 0], [0, 0, 2, 0, 7, 0], [0, 10, 0, -3, 0, -1], [-16, 0, 7, 0, 8, 0], [12, -4, 2, 10, -2, 2], [-8, -1, 8, -1, 7, -7], [8, -3, 2, 7, -1, 1], [0, 6, 0, -4, 0, -2], [0, -8, 0, -13, 0, 2], [0, 1, 0, -3, 0, 0], [6, 0, 2, 0, -8, 0], [4, -4, 3, 3, -1, 1], [0, 2, 0, 5, 0, 3], [-9, 0, 3, 0, 4, 0], [0, -5, 0, 7, 0, 5], [-1, 0, 6, 0, 1, 0], [21, -5, 7, 23, 2, -2], [-3, -2, -1, -6, -3, 3], [2, 0, -2, 0, 3, 0], [0, -8, 0, -20, 0, 6], [0, 4, 0, 0, 0, 3], [-4, 0, -1, 0, 5, 0], [20, 0, -1, 0, 2, 0], [0, -3, 0, 14, 0, -8], [-9, -12, 2, -19, -10, 10], [3, 0, -7, 0, -7, 0], [-11, 0, -5, 0, -1, 0], [0, -12, 0, -16, 0, 7], [-12, -11, 8, -15, -3, 3], [0, 7, 0, 8, 0, -7], [0, -4, 0, -14, 0, -3], [-9, -9, 9, -9, 0, 0], [24, 0, -1, 0, 0, 0], [0, -3, 0, -15, 0, 1], [-15, 5, 2, -8, 7, -7], [-12, -3, 8, -7, 5, -5], [0, -5, 0, -1, 0, 17], [-1, 13, -4, 8, 9, -9], [-17, 0, 5, 0, 8, 0], [-2, 0, 11, 0, -4, 0], [0, 1, 0, -6, 0, 5], [7, 0, 3, 0, 8, 0], [3, 0, 4, 0, -2, 0], [-36, 0, -1, -37, -1, 1], [-26, 0, 1, 0, 0, 0], [0, -3, 0, 25, 0, 6], [0, 6, 0, 8, 0, -3], [16, 1, 0, 17, 1, -1], [-4, -13, 13, -4, 0, 0], [12, 0, -3, 0, -13, 0], [2, 17, -10, 9, 7, -7], [3, -4, 1, 0, -3, 3], [26, 3, 1, 30, 4, -4], [11, -2, 5, 14, 3, -3], [-7, 0, -6, 0, 10, 0], [12, 0, -12, 0, -6, 0], [7, 0, -10, 0, 0, 0], [0, 0, -15, 0, -6, 0], [0, 10, 0, -7, 0, -9], [-2, 4, 10, 12, 14, -14], [7, 10, -10, 7, 0, 0], [6, 0, -2, 0, -6, 0], [-5, 0, 13, 0, 14, 0], [0, 9, 0, 11, 0, -10], [-25, 7, 1, -17, 8, -8], [8, 0, 8, 0, -1, 0], [-2, -8, -6, -16, -14, 14], [0, 11, 0, 4, 0, -16], [0, 7, 0, -12, 0, -5], [9, 0, 5, 0, -11, 0], [-16, 0, 2, 0, -3, 0], [-1, -5, -7, -13, -12, 12], [-11, -15, 12, -14, -3, 3], [4, 0, -10, 0, -3, 0], [-5, 0, -5, 0, -3, 0], [32, 0, -10, 0, -7, 0], [-9, 0, 12, 0, -7, 0], [0, -7, 0, -27, 0, 7], [9, -17, 6, -2, -11, 11], [0, -14, 0, -1, 0, 14], [0, 2, 0, -6, 0, -5], [-18, 0, -6, 0, -11, 0], [0, -19, 0, 6, 0, -2], [0, 14, 0, -8, 0, -1], [7, 5, 2, 14, 7, -7], [0, -8, 0, 23, 0, -4], [-9, 0, 15, 0, 9, 0], [-12, 11, 1, 0, 12, -12], [16, -12, 5, 9, -7, 7], [-20, 0, 1, 0, 0, 0], [-28, 0, 0, 0, -1, 0], [-6, 0, 5, 0, -6, 0], [17, -2, -4, 11, -6, 6], [10, -8, -3, -1, -11, 11], [-16, -4, -8, -28, -12, 12], [-6, 7, -10, -9, -3, 3], [17, 0, -9, 0, -15, 0], [0, 3, 0, -6, 0, 2], [0, -5, 0, -27, 0, 2], [0, -11, 0, 12, 0, 5], [-19, 4, 11, -4, 15, -15], [-13, 0, 15, 0, -1, 0], [0, 1, 0, -20, 0, -13], [6, 0, -16, 0, -10, 0], [13, -10, 17, 20, 7, -7], [-14, 10, -7, -11, 3, -3], [0, 4, 0, -18, 0, 4], [5, 0, 0, 0, 6, 0], [16, 0, -23, 0, -17, 0], [0, -14, 0, 4, 0, 13], [2, 12, -13, 1, -1, 1], [10, 6, -14, 2, -8, 8], [0, 4, 0, -21, 0, -1], [0, 11, 0, -7, 0, -17], [0, 4, 0, -46, 0, -4], [0, -4, 0, -17, 0, 5], [-11, 0, 9, 0, 6, 0], [0, 8, 0, 12, 0, 1], [0, 2, 0, 12, 0, -6], [-7, 4, 6, 3, 10, -10]], 'char_orbit_index': 11, 'field_poly': [49, -42, 43, -8, 7, -1, 1], 'hecke_orbit_code': 27022284992545623, 'hecke_ring_character_values': [[191, [1, 0, 0, 0, 0, 0]], [172, [1, 0, 0, 0, 0, 0]], [496, [-1, 0, 0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 259, 259, 259, 259], '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], [-5, 0, 1, -4, 1, -1], [2, 0, -5, 0, 1, 0], [0, 1, 0, 21, 0, 7], [-19, -35, 29, -25, -6, 6]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [294, -42, 43, -49, 7, -1], [-49, -215, -1, -35, 5, -6], [952, -210, 215, 14, 35, -5], [147, 608, 3, 105, 22, 18]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 56357, 'label': '855.2.k.g', 'level': 855, 'maxp': 997, 'weight': 2}