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

Formats: - HTML - YAML - JSON - 2026-04-01T12:44:37.900301

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], [-1, 1, 0], [0, 0, 0], [-1, 1, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [3, 1, 0], [0, 0, 0], [-2, 2, -2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [3, -1, 2], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, -2, 0], [0, 0, 0], [2, -3, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, 0, -2], [0, 0, 0], [-6, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [9, -3, 2], [0, 0, 0], [4, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [4, 2, -2], [0, 0, 0], [-3, -1, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [3, -1, -2], [0, 0, 0], [10, -1, 3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, 4, -2], [0, 0, 0], [3, 1, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-4, 4, -4], [0, 0, 0], [1, -3, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [10, -6, 0], [0, 0, 0], [0, 0, -4], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 4], [0, 0, 0], [5, 1, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, 1, 6], [0, 0, 0], [-8, 2, -2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [6, 0, -2], [0, 0, 0], [-5, 5, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, 0, 2], [0, 0, 0], [2, -10, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, -1, 0], [0, 0, 0], [6, 4, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]], 'ap': [[0, 0, 0], [0, 0, 0], [-1, 1, 0], [-1, 1, 1], [3, 1, 0], [-2, 2, -2], [3, -1, 2], [-1, 0, 0], [2, -2, 0], [2, 0, -2], [-6, 0, 0], [4, 0, 0], [4, 2, -2], [-3, -1, -1], [3, -1, -2], [2, 4, -2], [-4, 4, -4], [1, -3, 1], [0, 0, -4], [0, 0, 4], [5, 1, -3], [-8, 2, -2], [6, 0, -2], [2, 0, 2], [6, 4, 0], [4, -2, 2], [-2, -4, 4], [2, 2, 4], [0, -4, 0], [-2, -4, -2], [2, 0, 4], [-9, 1, 4], [9, -3, -2], [-5, 1, 1], [3, -3, 0], [-8, 2, -2], [2, 0, 0], [0, 4, -4], [-10, -2, 0], [2, -4, -2], [10, -2, -4], [-2, -2, 6], [-3, 1, 2], [8, -2, 2], [20, -2, 2], [-3, -1, -1], [8, -4, 0], [4, -6, 2], [-10, -2, 0], [-1, -1, 3], [5, -7, 6], [1, -7, 6], [-4, 6, -2], [-19, 3, -4], [-4, -2, 2], [17, 1, -2], [6, 0, -2], [4, -8, 0], [-13, -5, -1], [2, 4, 6], [-15, -5, 3], [-8, 2, -6], [8, -4, 0], [-9, 3, -2], [2, 8, 0], [-8, 2, -2], [-4, 8, -4], [2, -4, 0], [7, 5, 0], [-11, 5, -7], [0, 4, 4], [-7, -3, -6], [8, 4, -4], [4, 8, 0], [2, 2, 2], [18, -6, 4], [-3, -9, 4], [-11, -3, 1], [-20, -6, 2], [2, 0, 8], [10, -4, -2], [-14, 6, 6], [-22, 2, 0], [-2, 0, 4], [2, -4, -8], [-5, 9, 0], [8, 2, 2], [3, -9, -5], [19, -3, 0], [-9, -3, 5], [1, -1, -12], [10, -6, 4], [12, 2, -2], [14, 4, -6], [-3, 7, -1], [-6, -2, 8], [6, -4, 6], [8, 6, 2], [14, 2, -6], [-1, -5, 7], [18, -6, 6], [13, -1, -4], [-12, -8, 4], [-18, 0, 2], [8, -4, 4], [1, 5, 9], [5, -1, 0], [0, 0, 8], [16, -8, 4], [28, -2, 2], [-26, 0, 4], [-1, -5, -1], [-3, -3, 10], [-28, 0, 0], [3, 9, -7], [18, 0, -2], [5, -9, -1], [23, -1, 2], [17, 11, -4], [18, -6, -4], [8, -4, 4], [12, -6, -2], [-6, -4, -6], [6, -6, 12], [11, 1, -7], [12, -10, -6], [-18, 0, 8], [23, 3, -2], [-17, 1, -7], [-6, 0, 0], [-13, 9, -7], [-4, 12, -4], [8, 2, 2], [-23, -7, 5], [-5, -17, 2], [9, -7, 5], [-24, -2, 2], [4, 8, 0], [-20, 2, 2], [5, 13, -6], [18, -6, -10], [-15, -1, 0], [-9, 13, -3], [4, 16, 0], [-8, -12, 4], [26, -6, -4], [10, 12, 4], [16, -2, -6], [3, -15, 9], [0, 8, 8], [-2, 6, 6], [5, -3, 10], [11, -7, -7], [4, -4, 12], [10, 6, -10], [-34, 6, 4], [-16, -12, 4], [-12, 0, 4], [-11, -15, 5], [10, 16, -6], [34, -8, 10], [40, -6, 6], [-16, 8, -8], [-40, 0, 0], [-2, -4, 2], [12, 4, 8], [0, -14, 10], [-9, 3, -17], [-4, -2, -14], [-21, 5, 0], [4, -8, -4], [-10, -14, 2], [-2, -2, -4], [34, 0, 8], [-10, 0, -4], [-23, 5, -2], [-4, 0, 8], [3, 5, -8], [4, -10, 6], [15, 7, -5], [-29, -7, 1], [6, -6, 12], [10, -14, 2], [8, -6, -2], [3, 7, -2], [25, 3, -4], [-34, 6, -10], [40, 4, 0], [14, 4, -8], [-26, 10, -16], [-34, 0, 4], [-13, 13, -4], [-30, -6, 2], [-28, 2, -10], [-6, 4, -2], [-2, -12, 6], [29, 1, 5], [18, 8, 0], [16, -16, 8], [-7, 13, 2], [28, -10, 2], [-28, 10, 2], [24, -8, -4], [-22, 12, 0], [10, -12, -2], [11, -15, 12], [11, -3, -19], [12, 0, -12], [37, 5, -6], [-18, 2, 10], [26, -12, 12], [-36, -6, 6], [-3, 15, -9], [28, -4, 8], [14, 14, 0], [-16, -2, -10], [32, -8, -16], [-36, 10, -18], [-46, 2, 4], [17, 19, -4], [-4, 8, -12], [-8, -18, -2], [-2, 12, -18], [-35, -1, -1], [12, 0, 0], [5, -7, -3], [-20, 14, -10], [4, -20, 12], [28, 2, 6], [39, -3, -8], [49, -7, 13], [-10, 10, 10], [-38, 4, 4], [-16, 14, -14], [-39, 11, -5], [-13, 11, 10], [5, 1, 5], [13, -9, 12], [26, 8, 2], [-4, -28, 4], [2, -6, 12], [-41, 5, -11], [-4, -12, -4], [16, 0, 4], [-6, 4, 10], [-35, 13, -10], [-19, 7, -17], [-16, -4, 8], [8, -8, 16], [7, 7, -14], [-10, 12, 12], [3, 15, 10], [2, -6, -4], [-20, 2, 14], [7, 5, 12], [18, -4, -10], [-31, -3, -7], [6, -18, 2], [-8, 14, -10], [-2, 4, 12], [-20, 2, 18], [40, -4, 8], [27, -1, 11], [-18, 18, -6], [21, -19, -6], [18, 10, 2], [-10, -8, -10], [-25, -5, 2], [28, 4, 0], [35, 5, -8], [42, -10, 14], [28, 0, -8], [15, 11, -1], [-9, 17, -15], [-16, -10, 2], [16, -12, 4], [1, 15, 4], [2, -2, -2], [16, -6, -10], [-19, 7, 0], [68, -4, -4], [-40, 8, 8], [5, 5, -10], [40, -8, 4], [1, 11, 3], [-17, 7, 18], [-31, -3, 9], [50, -8, 6], [3, -27, 13], [54, 0, 2], [20, -22, 14], [9, -1, -4], [2, 12, -22], [20, 24, 0], [-24, 0, 12], [-44, 10, -2], [4, 6, 14], [-19, -5, -8], [-6, -10, 8], [-7, -5, 19], [-21, -5, -1], [18, -8, 2], [-19, 3, 3], [46, -10, -4], [9, -13, 3], [26, -16, 8], [-8, -16, 8], [70, -2, 2], [-1, -13, 14], [34, 4, 12], [25, 5, 10], [-4, 6, -6], [-48, -2, 6], [48, 0, 8], [30, 22, -4], [14, -24, 8], [7, 17, -4], [-6, -22, -4], [19, 7, 3], [37, -11, 10], [8, 16, -8], [-43, 13, 9], [-18, 4, 10], [18, -20, 12], [16, 16, 0], [-20, -10, 18], [-10, 6, 2], [0, -4, -20], [-44, 12, -16], [45, -9, 12], [-3, 5, -7], [26, 12, 6], [-8, -4, 4], [3, 1, -8], [-3, 7, 23], [13, 3, -4], [2, 10, 10], [18, -16, 14], [21, -19, 9], [0, 0, 8], [-32, 12, -16], [33, 13, -2], [42, -12, -14], [36, 6, -14], [-8, 14, -14], [46, -2, 8], [14, 4, 4], [30, -14, -2], [-70, 2, -8], [-3, 3, 8], [-10, -6, -18], [-44, 14, -2], [-17, -11, 20], [-2, -4, 20], [20, -16, -20], [-26, -12, -10], [34, -10, -16], [-18, 0, 6], [25, 29, -2], [-2, -2, -8], [9, -15, 21], [-20, 0, -4], [0, 8, 0], [-8, 4, 16], [37, 7, -17], [14, 12, -8], [-20, -10, -14], [-34, 20, -20], [-2, -8, -8], [-2, 24, 6], [-54, 6, 10], [19, -21, 18], [16, 10, -6], [-3, -9, 15], [13, -23, 5], [-14, -6, 8], [30, -14, 24], [-25, -1, 3], [-37, 3, -2], [-52, 6, 6], [-22, 12, 6], [37, -3, 10], [47, 5, 5], [-23, -3, 14], [14, 6, 10], [-10, -26, 8], [8, 32, -8], [-10, -8, -8], [-7, 19, -21], [14, -18, 8], [8, 6, 10], [10, -24, 26], [-18, -28, 10], [13, -1, -9], [-36, 4, -4], [-26, -12, 4], [-28, -10, 2], [-50, -8, 10], [42, -2, 10], [4, -6, -10], [-8, 0, 12], [13, 5, -6], [30, -8, 20], [-34, 8, 14], [48, -14, 22], [31, -7, 9], [-27, 17, -19], [20, -10, 18], [14, -14, 6], [-21, 5, -4], [-6, 8, 0], [11, -19, -8], [2, 14, -8], [7, 13, 5], [-38, 16, -24], [-36, 14, -14], [22, -2, 8], [-40, -10, 2], [-52, -12, 0], [-62, 10, 4], [-24, 26, -26], [-58, -10, 2], [7, -13, 6], [18, -14, -16], [-8, 6, -18], [-2, 16, -6], [22, -26, 8], [-1, 19, -22], [23, 29, -3], [-25, -17, -6]], 'char_orbit_index': 1, 'field_poly': [10, -8, -1, 1], 'hecke_orbit_code': 54043195562001752, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [6, -1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-6, 1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 75994, 'label': '1368.2.a.m', 'level': 1368, 'maxp': 2999, 'weight': 2}