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

Formats: - HTML - YAML - JSON - 2026-03-02T20:05:27.088846

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, -1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, -1], [0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0], [1, 1, 0, 1, -1, 0], [0, -1, 0, -3, -1, 0], [0, 0, 0, 0, 0, 0], [2, -1, -1, -1, 0, -1], [1, 0, -1, 1, 1, -1], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1], [-4, -1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [2, 0, 3, 1, 2, -1], [2, -1, -2, 1, -1, 1], [0, 0, 0, 0, 0, 0], [1, 0, -1, 1, 1, 1], [4, -1, 5, -3, 1, -1], [0, 0, 0, 0, 0, 0], [1, -2, 1, -5, 0, 1], [2, -1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [3, -2, 1, -1, -1, 0], [-3, -1, -3, 3, -1, 0], [0, 0, 0, 0, 0, 0], [-1, 3, -4, 5, 0, 0], [-4, 2, 1, 2, 1, -2], [0, 0, 0, 0, 0, 0], [4, -2, 0, -2, -1, 0], [2, -2, -5, -1, -3, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 2, 1, 1], [-7, 2, 1, -1, 1, 1], [0, 0, 0, 0, 0, 0], [1, 0, -4, 4, -2, 1], [-1, -2, -5, 1, -2, 1], [0, 0, 0, 0, 0, 0], [3, -2, 1, -6, -2, -1], [2, 1, 4, 1, 1, -2], [0, 0, 0, 0, 0, 0], [2, -2, 0, -4, -2, 2], [6, 1, 3, 0, 1, -3], [0, 0, 0, 0, 0, 0], [1, -1, -4, 1, -2, 0], [3, 1, 0, -3, -2, 0], [0, 0, 0, 0, 0, 0], [3, 1, -3, 2, -2, -1], [4, 0, 2, -2, 1, -1], [0, 0, 0, 0, 0, 0], [-2, 3, 2, 4, 1, 1], [1, 0, 2, 0, -1, 2], [0, 0, 0, 0, 0, 0], [4, -4, 2, -2, 1, 0], [-3, 0, -3, 1, -1, 3], [0, 0, 0, 0, 0, 0], [-3, 1, 1, -3, -2, 2], [-3, 3, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0], [5, -2, 4, -3, 1, -1], [5, -1, 4, -3, 3, -2], [0, 0, 0, 0, 0, 0], [-3, 3, 3, 2, 4, 1], [1, 2, -1, 2, -1, 2], [0, 0, 0, 0, 0, 0], [1, 1, -2, 5, 2, 0], [-6, 2, -3, 1, -2, 0], [0, 0, 0, 0, 0, 0], [-3, 4, -5, 9, -2, -1], [-2, 2, -4, 4, 0, 2], [0, 0, 0, 0, 0, 0], [2, 3, 3, 3, 0, -3], [-7, 1, 1, 4, 1, 4], [0, 0, 0, 0, 0, 0], [-2, 5, 7, 4, 3, -1], [-3, 4, -3, 7, 0, -3], [0, 0, 0, 0, 0, 0], [3, 1, 0, -3, 3, -2], [1, 3, 2, 2, 6, -4], [0, 0, 0, 0, 0, 0], [0, -4, -1, -9, -4, 1], [1, -1, 2, -1, -1, 2], [0, 0, 0, 0, 0, 0], [-5, 0, -6, 1, 2, 2], [4, 2, 2, 6, 4, -4], [0, 0, 0, 0, 0, 0], [0, -4, 2, -6, -1, -2], [3, 1, -3, 2, -4, 0], [0, 0, 0, 0, 0, 0], [2, 1, 3, -6, 0, 1], [-5, 4, 5, 1, 5, -1], [0, 0, 0, 0, 0, 0], [-1, -2, 7, -1, 5, -3], [4, 0, -4, 4, 1, 2], [0, 0, 0, 0, 0, 0], [-4, 1, 0, -1, -2, 2], [-5, -2, 8, -4, 4, 2], [0, 0, 0, 0, 0, 0], [-2, -1, -1, -6, 2, -2]], 'ap': [[0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 1, 0], [1, 1, 0, 1, -1, 0], [1, 0, -1, 1, 1, -1], [0, 1, 0, 0, 0, 1], [2, -1, -2, 1, -1, 1], [1, 0, -1, 1, 1, 1], [2, -1, 1, 0, 0, 1], [-4, 2, 1, 2, 1, -2], [4, -2, 0, -2, -1, 0], [1, 0, -4, 4, -2, 1], [2, 1, 4, 1, 1, -2], [2, -2, 0, -4, -2, 2], [3, 1, 0, -3, -2, 0], [1, 0, 2, 0, -1, 2], [-3, 3, 0, -1, 1, 0], [5, -2, 4, -3, 1, -1], [1, 1, -2, 5, 2, 0], [-2, 2, -4, 4, 0, 2], [2, 3, 3, 3, 0, -3], [3, 1, 0, -3, 3, -2], [1, -1, 2, -1, -1, 2], [3, 1, -3, 2, -4, 0], [-4, 1, 0, -1, -2, 2], [1, 1, -7, 6, 0, -1], [3, 1, -2, 1, 3, -2], [5, 3, 4, -3, 1, -2], [-2, 0, 2, 1, 4, -2], [2, 0, 7, -4, -1, -2], [4, -3, 5, -2, -2, 1], [-2, -1, 5, 0, 4, -1], [-5, -1, -1, 2, -4, 2], [4, 1, 3, 4, -1, -3], [6, 1, -3, 1, -3, 3], [3, -2, -5, 1, 3, 1], [-1, -5, 0, -4, -2, 2], [-5, 6, 5, 1, -2, 1], [-8, -6, 2, -4, -3, 2], [8, -6, 7, -5, 0, -2], [4, 2, 2, -2, 3, -4], [-5, 3, -1, 4, 1, 1], [7, -1, 2, 5, 2, -4], [-1, 1, -5, 6, 1, -4], [5, -5, -2, -4, 0, 4], [4, 3, -1, 4, 4, -5], [5, -5, 0, 5, 1, 2], [7, -2, 3, 1, -4, -3], [-10, 0, -2, 4, 3, 4], [3, -5, -9, 0, 3, -2], [-4, -4, 1, -2, -1, 4], [8, -1, 1, -6, -6, 1], [-3, 4, -3, 0, 0, 1], [-1, -5, 4, -7, -3, -2], [-1, -2, 10, -11, -2, 1], [-17, 1, 2, -9, 0, 2], [3, 3, 9, 6, 3, -6], [14, 0, -6, -6, -3, 0], [-2, -5, -6, 1, -1, 0], [-4, 6, -2, -5, 0, -2], [0, 7, 3, -6, 3, -5], [12, -7, -6, 0, -4, -3], [11, -6, 9, -9, -3, 3], [10, -5, -1, -2, -10, -1], [2, 1, 9, -7, 1, -1], [12, 4, 3, 6, -5, 0], [4, -11, -3, -8, 2, 3], [0, -2, 3, -3, -3, -5], [5, 5, 10, -3, 0, -2], [-3, -8, 0, 0, 0, 4], [-12, 5, 6, -7, 6, 0], [-11, 10, 5, 11, 1, -1], [0, 7, -5, 16, 3, 1], [-10, -2, 3, -7, 7, -1], [4, 0, -4, 4, -2, -2], [-7, 0, 1, 5, -1, -5], [0, -3, -3, -8, 5, 3], [-5, -6, -4, -2, -2, 1], [-14, -4, -7, -3, 1, 2], [1, 4, 0, -11, -1, -3], [-18, 7, -9, 4, -3, 3], [5, -11, 0, -4, -5, 2], [-10, -9, 1, -12, 1, 1], [-5, -3, -7, 7, 1, 4], [14, -2, -8, 6, -5, 8], [-1, -9, -20, 13, -6, 4], [-12, 5, -3, -2, -2, 3], [-12, 1, 6, 0, 0, 1], [-1, -10, -2, -10, 1, -2], [-8, 7, 9, -2, 8, -3], [2, 1, 13, -4, -3, 1], [-11, 4, 5, 3, 0, -7], [4, 3, 5, -8, 7, 1], [-8, -3, -13, 8, 3, 5], [4, 1, 19, -4, 2, -3], [-2, -4, 14, 4, -3, -4], [-5, -4, -7, 9, 1, 5], [15, -2, -12, 2, -4, 0], [11, -15, 0, -9, -6, 0], [-14, 3, -10, 1, -5, 1], [-1, 7, -14, 3, -2, 2], [-17, 8, 2, 7, 9, -1], [1, 2, 11, -3, -2, 5], [16, -1, 5, -7, -7, -1], [-11, -2, 9, 7, 2, -3], [-1, 3, 0, -12, -3, -6], [-7, -5, -2, -3, -4, 10], [-8, 9, -13, 15, 8, 5], [-2, -3, 11, 8, -3, 5], [-2, 10, -3, 19, 11, -12], [18, 1, 3, 0, -3, 1], [-13, 3, 3, 6, 0, -3], [5, 2, -5, 0, 3, -5], [-2, -2, -2, 8, 5, -6], [-8, 3, -1, -2, -5, 7], [13, -8, -7, 6, 6, -7], [-3, 1, -8, 13, 0, -2], [-22, 12, -8, 0, -8, 4], [2, -3, 10, -1, -7, 4], [-26, 3, -7, 10, -2, -1], [-2, -8, 10, -7, -4, 6], [-12, 7, 9, -3, 6, -5], [0, 14, -12, 8, 3, 0], [-21, -5, 0, -1, 8, 0], [-7, 1, -18, 5, -2, 2], [-11, -3, -1, 3, -4, 2], [-11, 1, 12, -2, 2, 6], [-17, 11, 8, 7, 6, -4], [4, -11, 1, -16, 8, 3], [-2, -5, -3, -20, 2, 3], [-5, 0, -1, -11, -8, 7], [-3, 7, -12, 13, 9, -6], [17, -2, 21, -1, 1, -13], [-4, 0, 15, -3, 0, 3], [6, -6, -3, 14, 10, 0], [-3, -5, 3, -6, 6, 4], [-6, -7, 9, -11, -5, 3], [5, -8, -5, 9, -8, -1], [-8, 7, 8, 4, -4, -1], [-12, 3, 6, 0, 0, 3], [4, -15, 17, -14, 1, -5], [0, 18, 3, -5, 2, -6], [-15, 7, 18, -9, 12, -2], [3, 5, 0, 1, 10, 0], [7, 6, -1, 7, 4, -5], [2, -4, -8, -4, 1, 10], [-6, 7, 10, 1, -9, 4], [-10, 7, 7, 15, 5, 1], [-10, -2, 0, -4, -2, 2], [5, 0, 1, -15, 4, -5], [-15, 19, 6, 12, 3, -8], [-16, -10, -11, 1, 8, 1], [-11, -12, -1, -11, 10, 1], [36, -16, -12, -12, -10, 6], [2, -2, -18, -10, 1, 2], [9, -5, 0, -3, -11, 0], [14, 0, -6, -6, -6, 6], [-27, 3, 3, 7, 8, 0], [1, 9, 8, -14, 1, -2], [-17, 8, 2, 3, 1, -1], [-9, 2, 15, -7, 6, -9], [-5, 16, 11, -4, -2, -1], [-3, 1, -26, 7, 0, 4], [-2, 3, -19, 30, -1, -1], [3, 3, -6, -13, 4, 0], [24, -3, 3, 4, 8, -3], [2, 3, -21, 18, -3, 9], [19, -11, -5, -13, -1, 0]], 'char_orbit_index': 1, 'field_poly': [-8, -12, 12, 13, -6, -3, 1], 'hecke_orbit_code': 4503599660925657, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 4, 2, 4], '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], [3, 1, 0, -1, -1, 1], [4, 5, 0, -5, -2, 3], [20, 12, 2, -19, -10, 13], [53, 45, 6, -70, -29, 44]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [4, 7, -4, -3, 1, 0], [-8, 8, 13, -6, -3, 1], [2, 4, 7, -4, -3, 1], [-16, 12, 31, -14, -9, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 50348, 'label': '729.2.a.b', 'level': 729, 'maxp': 997, 'weight': 2}