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

Formats: - HTML - YAML - JSON - 2026-01-22T06:02:06.723558

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, 0, 0, 1, 0, 0], [0, 1, 1, -1, 0, 0], [0, 0, 0, -1, 0, 0], [-1, 0, 0, 0, 0, -1], [1, -2, -1, 2, 0, 0], [0, -1, 0, -1, -1, 0], [-1, 0, 0, -2, 0, 0], [-1, 2, 0, -2, 2, 1], [2, 0, 0, 0, 1, 2], [0, 1, 1, -2, 0, 0], [-1, 1, 0, -1, 0, 0], [1, 0, -1, 0, 1, -1], [0, 1, -1, 2, 1, -1], [-1, -2, -1, -2, 0, 0], [5, 0, 0, 5, 0, 0], [-2, 0, 0, -1, 1, 0], [4, -2, 2, 2, -3, 0], [1, 0, 2, 2, 0, 1], [-1, 0, 0, 0, -1, -1], [3, 2, 3, 0, -1, 1], [2, -2, -1, 4, 0, 0], [-2, -1, 0, -1, -2, -1], [-2, 1, -1, -1, 0, 0], [0, -2, -2, 0, 0, 0], [1, 1, 2, 2, 0, 3], [-6, 0, -4, 0, 2, -2], [0, 0, 1, -1, 0, 1], [-3, -2, -1, 0, -3, -3], [3, 3, 0, 3, 0, 0], [0, 1, 1, 5, 0, 0], [-6, 0, 0, -3, 0, 0], [-5, 3, 0, -6, 2, 1], [4, 0, 0, 0, -1, 1], [-4, 1, 1, 1, -2, -1], [-3, 0, -2, 0, 1, -1], [1, 1, 2, 2, 0, 3], [-4, -2, -4, -4, -1, -2], [-2, -2, -2, -1, -1, -2], [-1, 0, 0, 0, -2, -1], [2, 0, 0, 0, -2, 2], [-5, -5, -4, 2, 0, -3], [2, 0, 1, 0, 1, -1], [-2, 1, 0, -2, 0, 0], [6, 0, 0, 3, 0, 0], [2, 1, -1, 1, 3, 0], [-4, -1, -2, 3, 0, -1], [5, 0, 5, 0, 0, 0], [4, -2, 0, 4, 1, 2], [0, 4, 2, 0, 0, 0], [0, -2, -4, 0, 0, 0], [-2, -1, -1, -2, -1, -2], [4, -1, 1, 2, 3, 0], [10, 4, 8, -4, 0, 6], [-2, -2, -1, -2, -1, -1], [0, 1, 2, -1, 1, 2], [7, 2, 3, -4, 2, 4], [3, 3, 0, 0, 6, 3], [0, 0, 0, 6, 0, 0], [-2, -1, 1, -1, 0, 0], [1, 0, 0, -2, 0, -1], [-5, -2, -1, -10, 0, 0], [-4, 5, 3, -11, 2, 1], [-1, 0, 0, 0, 0, 0], [1, -1, -2, -4, 0, -3], [12, -3, 3, 6, -3, 0], [0, 2, -2, 0, 0, 0], [-2, 0, 0, 1, 0, -1], [1, 0, 3, 0, -1, 1], [2, -2, -1, -5, 3, 0], [3, -2, -1, 6, 0, 0], [-5, -2, -4, 2, 0, -3], [-2, 2, -2, -1, 0, 0], [-6, -3, -3, -6, -3, -6], [6, -2, 0, 8, -4, -2], [3, 2, 2, 2, 1, 1], [3, 2, 4, -1, -1, 2], [4, 4, 2, 2, 3, 3], [1, 3, 6, -1, 0, 0], [0, 0, 0, 0, 5, 0], [-2, -8, -8, 8, -1, -2], [-6, 0, 0, 0, 0, -6], [4, 6, 3, 4, 2, 2], [2, 3, 1, -2, 1, 2], [6, 0, -2, 0, -1, 1], [0, -1, -2, 3, 0, 3], [2, -4, 4, 1, -3, 0], [-4, 1, -1, -2, 0, 0], [1, 3, 0, 0, 2, 1], [-9, 0, 0, 0, 0, 0], [-11, -1, 0, -7, -4, -2], [0, 0, 1, 0, -1, 1], [2, -4, 0, 1, 2, 1], [2, 3, 3, -9, 1, 2], [6, 0, -2, 3, 2, 4], [-3, -3, -6, 3, 0, 0], [0, 0, 4, 0, -2, 2], [-9, 2, -2, -6, -3, -3], [-12, 0, -9, 0, 3, -3], [0, -2, 0, 0, 0, 0]], 'ap': [[-1, 0, 0, 1, 0, 0], [0, 1, 1, -1, 0, 0], [-1, 0, 0, 0, 0, -1], [0, -1, 0, -1, -1, 0], [0, 1, 1, -2, 0, 0], [1, 0, -1, 0, 1, -1], [-2, 0, 0, -1, 1, 0], [1, 0, 2, 2, 0, 1], [-2, -1, 0, -1, -2, -1], [-3, -2, -1, 0, -3, -3], [0, 1, 1, 5, 0, 0], [1, 1, 2, 2, 0, 3], [2, 0, 0, 0, -2, 2], [2, 0, 1, 0, 1, -1], [-4, -1, -2, 3, 0, -1], [4, -1, 1, 2, 3, 0], [0, 0, 0, 6, 0, 0], [1, 0, 0, -2, 0, -1], [0, 2, -2, 0, 0, 0], [3, -2, -1, 6, 0, 0], [-2, 2, -2, -1, 0, 0], [1, 3, 6, -1, 0, 0], [4, 6, 3, 4, 2, 2], [1, 3, 0, 0, 2, 1], [0, 0, 4, 0, -2, 2], [0, 2, -2, 0, -1, 0], [-10, -2, 0, -10, 0, 0], [3, -1, -2, -3, 0, 0], [4, 0, 0, 2, 0, 0], [-1, -2, -1, 4, -3, -3], [-1, 6, 3, -2, 0, 0], [2, 0, 0, 2, 0, 4], [-2, 2, 2, -10, -1, -2], [4, -2, -1, 12, -2, -2], [-1, -8, 0, 1, -4, -2], [0, 4, -4, 0, 6, 0], [-2, 2, -2, -1, 2, 0], [-12, -1, 0, -8, -8, -4], [-5, 0, -3, 0, 2, -2], [-4, 0, 0, -6, 4, 2], [-4, -4, 4, -2, -6, 0], [1, 0, -5, 0, 3, -3], [-4, -1, 0, -4, 0, 0], [0, -1, 1, 0, -3, 0], [-5, 0, 2, 0, -3, 3], [6, -1, 1, 3, 3, 0], [-6, -8, -4, 0, -6, -6], [-7, 0, -7, 0, 0, 0], [-4, -3, -3, -15, -2, -4], [4, 2, 4, -3, 0, 1], [-18, -2, 0, -17, -2, -1], [4, 0, -2, 0, 1, -1], [10, 5, 5, 4, 5, 10], [8, -6, -3, 14, 1, 1], [10, 0, 0, 12, -4, -2], [-8, -2, -2, 10, -4, -8], [0, 0, 0, -6, 0, 0], [6, 5, 10, -6, 0, 0], [-6, -2, -2, -4, -3, -6], [-15, 6, 3, -24, -3, -3], [-16, -3, 3, -8, -6, 0], [-14, 0, 0, 0, -4, 4], [-12, 0, -4, 0, 2, -2], [0, 2, -2, 0, 4, 0], [9, -2, -4, -5, 0, 4], [-1, 3, 6, -2, 0, -3], [6, 0, 0, -6, 0, 0], [9, 6, 3, 12, 3, 3], [6, 1, 1, 19, 3, 6], [8, 8, 4, -2, 9, 9], [-18, 4, -4, -9, 5, 0], [14, 1, 0, 16, -4, -2], [6, 0, 0, 3, 9, 0], [8, -2, -4, -8, 0, 0], [15, 2, 1, 6, 12, 12], [11, 9, 0, 9, 4, 2], [2, -4, -4, -1, 1, 2], [-2, -2, -4, 2, 0, 0], [-2, -4, -8, -4, 0, -6], [-4, -2, -2, -28, -2, -4], [6, -2, -1, 14, -1, -1], [-11, -10, -5, -4, -9, -9], [6, -3, 3, 3, 0, 0], [4, 0, 10, 0, 0, 0], [-2, -10, 0, 4, -12, -6], [6, 2, 0, 2, 8, 4], [10, 16, 8, 8, 6, 6], [17, -2, 0, 21, -8, -4], [-17, -12, -6, -18, -8, -8], [2, 0, -9, 0, 6, -6], [-8, -1, -2, 7, 0, -1], [4, 5, -5, 2, -2, 0], [-28, -2, 2, -14, 0, 0], [-10, 0, 1, 0, -3, 3], [6, 13, 0, 5, 2, 1], [4, 2, 1, 4, 2, 2], [8, 12, 0, 6, 4, 2], [-10, -9, -9, 12, -5, -10], [-2, 8, 0, -8, 12, 6], [-11, 0, 0, -11, 0, 0], [-13, -10, -5, -2, -12, -12], [0, 10, 10, -11, 0, 0], [8, 9, 9, 15, 4, 8], [-4, 6, 12, 10, 0, 6], [-2, -5, -5, -9, -1, -2], [10, 0, 0, 5, -2, 0], [12, 0, 0, 22, 1, 1], [11, 4, 8, 2, 0, 13], [-2, 1, -1, -1, 6, 0], [-1, 0, -5, 0, -1, 1], [7, 7, 0, 5, 4, 2], [-2, 10, 10, -1, -1, -2], [-7, 0, 4, 0, 3, -3], [-18, -1, 1, -9, -5, 0], [22, 0, 5, 0, 4, -4], [-24, 4, -4, -12, 6, 0], [-20, 4, 2, -28, -6, -6], [-2, -7, 7, -1, -17, 0], [-12, -8, 0, -5, -14, -7], [-1, 6, 3, -2, 0, 0], [-2, -5, -5, 32, -1, -2], [-4, -8, -4, -8, 0, 0], [-10, -6, 0, -6, -8, -4], [-8, -2, 2, -4, -12, 0], [-14, -8, -16, -1, 0, -15], [-9, 0, 16, 0, -4, 4], [-7, 0, 0, -10, 6, 3], [12, -2, -4, -14, 0, -2], [-6, -10, -5, 12, -12, -12], [-2, 4, 8, -1, 0, -3], [10, 10, 10, -19, 5, 10], [-13, -22, -11, -2, -12, -12], [-6, -6, -12, 6, 0, 0], [-11, 0, -2, 0, 0, 0], [-15, 0, 0, 5, 0, -10], [5, -4, -2, 2, 4, 4], [-6, -9, -9, -6, -3, -6], [16, 1, 1, -7, 8, 16], [11, 0, 3, 0, 7, -7], [2, -8, -8, -26, 1, 2], [26, 0, -2, 0, 2, -2], [-19, -2, 0, -14, -10, -5], [2, 13, 13, -13, 1, 2], [18, 8, 4, 24, 6, 6], [4, -4, -4, 22, 2, 4], [-32, 0, 0, 0, 2, -2], [23, -8, -4, 22, 12, 12], [12, 18, 18, -6, 6, 12], [-10, 3, 6, 2, 0, -8], [11, 7, 14, -5, 0, 6], [-21, -5, -10, 6, 0, -15], [-18, 12, 6, -26, -5, -5], [-12, 0, 4, 0, -2, 2], [-30, -18, 0, -24, -12, -6], [6, -5, 5, 3, -18, 0], [-5, 6, 3, 2, -6, -6], [26, 7, 0, 20, 12, 6], [19, 0, 0, -21, 0, -2], [-9, -4, -2, -12, -3, -3], [10, 21, 21, 6, 5, 10], [18, -10, 0, 23, -10, -5], [-7, 14, 7, -20, 3, 3], [-18, 0, 14, 0, -4, 4], [29, 3, 0, 21, 16, 8], [16, -2, 2, 8, -6, 0], [-16, -6, -6, 6, -8, -16], [-16, 6, -6, -8, 18, 0], [34, 0, 0, 17, 7, 0]], 'char_orbit_index': 15, 'field_poly': [1, -7, 50, 5, 8, -1, 1], 'hecke_orbit_code': 13511760988340357, 'hecke_ring_character_values': [[115, [1, 0, 0, 1, 0, 0]], [78, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 393, 393, 393, 393], '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], [-2, 0, 0, 4, -1, -2], [-4, 0, 7, 0, 1, -1], [-23, -6, 0, -31, 16, 8], [28, -55, -55, -48, 14, 28]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-56, 7, -50, 64, -8, 1], [-385, 2750, 344, 440, -55, 56], [534, 3634, 561, 550, -36, 70], [-1430, 3683, 211, 605, -92, 77]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 14571, 'label': '133.2.o.d', 'level': 133, 'maxp': 997, 'weight': 2}