Database - mf_hecke_nf (Traces of Hecke operators acting on Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-04-30T22:51:19.950744

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], [-1, 1, -1, 1], [0, 2, -1, 2], [0, 0, 0, -1], [1, 0, 1, 0], [-2, 1, -2, 0], [0, 0, 0, 1], [0, 0, 1, 0], [-2, 2, -2, 2], [-1, 0, -1, 1], [1, -2, 2, -4], [1, 0, 2, -2], [-3, 1, -1, 3], [0, 0, -1, 0], [-1, 1, 0, 3], [0, -1, 0, 0], [-2, -1, -2, 0], [0, 0, 0, -2], [0, 0, 5, 0], [1, 0, 0, -1], [-1, 0, -2, 2], [1, -1, 3, 1], [3, 0, 2, -2], [-1, -1, 1, 1], [0, 1, -4, 1], [2, -2, 0, -3], [2, -1, 2, 0], [0, 1, 0, 0], [4, -4, 0, -5], [0, -1, -2, -1], [1, 5, -5, -1], [1, 0, 0, 0], [6, -4, 9, -6], [3, 0, 2, -2], [-1, 0, 0, 1], [0, 0, 2, 0], [3, -3, 0, 3], [0, -5, 0, 0], [-4, -3, -4, 0], [-1, 1, 0, 1], [0, -8, 4, -8], [1, 1, -1, -1], [3, 0, 3, -3], [0, -2, -2, 1], [-2, 0, -2, 2], [-3, 1, -1, 3], [0, -1, 6, -1], [2, -2, 0, -1], [0, -1, 0, 0], [-1, 4, -1, 0], [4, -4, 0, -7], [0, 2, 1, 2], [-5, 7, -7, 5], [-1, 0, -2, 2], [3, 0, 1, -4], [-1, 0, 0, 0], [-5, -5, 5, 5], [0, 4, 1, 4], [-1, 1, 0, -7], [1, 2, 1, 0], [7, -1, 7, 0], [-6, 6, 0, 1], [0, 0, -2, 0], [-1, 1, -1, 1], [-5, 0, -3, 3], [-2, -3, 0, 6], [-7, 0, -10, 10], [-3, 1, -1, 3], [0, 4, 3, 4], [1, -1, 0, -1], [-4, 11, -4, 0], [0, -2, 0, 0], [-1, 1, 0, -8], [0, 3, -6, 3], [1, 6, -6, -1], [5, 0, 0, 0], [0, 2, 2, -1], [7, 0, 4, -4], [-15, 15, -15, 15], [0, -1, 0, -1], [0, 0, 0, 11], [8, -4, 8, 0], [-1, 8, -1, 0], [-2, 2, 0, 1], [0, -3, -2, -3], [-3, 0, 0, 3], [13, 0, 6, -6], [2, 2, -1, 0], [-11, 0, -5, 5], [2, 0, 0, -2], [0, -2, -1, -2], [2, -2, 0, -3], [-4, 17, -4, 0], [1, -6, 1, 0], [-5, 5, 0, 5], [0, 2, -1, 2], [-6, -6, 6, 6], [1, 0, 0, 0], [2, -2, 6, 2], [-3, 0, 1, -1]], 'ap': [[-1, 1, -1, 1], [0, 2, -1, 2], [1, 0, 1, 0], [0, 0, 0, 1], [1, -2, 2, -4], [-3, 1, -1, 3], [-2, -1, -2, 0], [0, 0, 5, 0], [3, 0, 2, -2], [4, -4, 0, -5], [1, 5, -5, -1], [3, -3, 0, 3], [0, -8, 4, -8], [3, 0, 3, -3], [0, -1, 6, -1], [-5, 7, -7, 5], [-1, 1, 0, -7], [7, -1, 7, 0], [-7, 0, -10, 10], [-4, 11, -4, 0], [-1, 1, 0, -8], [-15, 15, -15, 15], [-1, 8, -1, 0], [-11, 0, -5, 5], [-6, -6, 6, 6], [1, -3, 3, -1], [-3, 3, 0, -6], [0, -15, 6, -15], [2, 0, -7, 7], [0, -6, 0, -6], [-1, -5, -1, 0], [0, 0, -10, 10], [4, 4, 4, 0], [0, 0, 0, 6], [13, 2, 13, 0], [0, -12, 16, -12], [0, 12, -15, 12], [20, -15, 15, -20], [-8, 9, -9, 8], [0, 4, -1, 4], [0, -13, 8, -13], [-2, -12, -2, 0], [1, -1, 0, 24], [-6, 11, -6, 0], [-13, 0, -5, 5], [-20, 0, -2, 2], [-21, 17, -17, 21], [0, 15, 1, 15], [11, -11, 0, 11], [14, -5, 5, -14], [-12, 16, -16, 12], [0, 15, -18, 15], [22, 0, 13, -13], [2, -10, 10, -2], [2, -2, 0, -1], [17, 0, 7, -7], [-1, -20, -1, 0], [-9, 9, 0, 16], [8, -2, 2, -8], [5, 17, 5, 0], [0, -6, 9, -6], [1, -1, 0, -8], [-9, 0, 14, -14], [0, -4, 5, -4], [-7, -5, -7, 0], [-9, -15, 15, 9], [18, 0, 18, -18], [13, -13, 0, -7], [-4, 15, -4, 0], [0, -4, 4, -4], [-25, 0, -11, 11], [21, -21, 0, 0], [-6, 6, 0, -13], [1, 0, -6, 6], [0, 1, 0, 0], [-11, 10, -10, 11], [-11, 11, 0, 11], [9, 0, 12, -12], [-4, 9, -4, 0], [-15, 15, -15, 15], [30, 0, 3, -3], [0, 6, 9, 6], [21, 5, -5, -21], [-20, 20, 0, -1], [4, 0, 18, -18], [0, -15, -3, -15], [9, -6, 6, -9], [12, -24, 12, 0], [7, 0, -11, 11], [-12, 0, -3, 3], [-2, 27, -2, 0], [16, -26, 16, 0], [0, 8, 21, 8], [-9, 9, 0, 0], [0, 0, 0, -7], [0, 10, -9, 10], [0, -18, 6, -18], [11, -11, 0, 18], [32, -9, 32, 0], [22, 8, -8, -22], [0, -2, 15, -2], [2, -2, 0, -1], [-10, -4, 4, 10], [0, -1, -38, -1], [27, 0, 2, -2], [29, -14, 29, 0], [-6, 6, 0, -21], [-30, 0, 6, -6], [-18, 9, -18, 0], [-6, 6, 0, -31], [0, 3, -3, 0], [0, -21, 20, -21], [-19, 0, 4, -4], [0, -5, 29, -5], [3, -3, 0, 16], [0, -16, 13, -16], [0, -33, 0, 0], [-31, 9, -9, 31], [-4, 4, 0, -12], [-11, 0, 17, -17], [21, 0, 13, -13], [13, -25, 25, -13], [-16, 12, -16, 0], [19, 0, -11, 11], [0, 23, -23, 0], [0, 12, -6, 12], [29, 3, 29, 0], [33, -33, 0, -6], [-19, 0, -12, 12], [9, -9, 0, 5], [-22, 22, -22, 22], [-2, -9, -2, 0], [0, 10, -12, 10], [42, -25, 25, -42], [-26, 22, -22, 26], [0, 0, -3, 3], [0, -4, 10, -4], [-11, 11, -11, 0], [-20, 28, -20, 0], [-34, 5, -34, 0], [0, -7, 46, -7], [-18, 18, 0, 24], [5, -21, 21, -5], [-16, -10, 10, 16], [10, -10, 0, 3], [0, 5, -25, 5], [-8, 3, -8, 0], [-5, 0, 14, -14], [-21, 0, -40, 40], [11, -18, 11, 0], [0, 20, 3, 20], [-3, 0, 4, -4], [0, 36, -24, 36], [1, -1, 0, -6], [15, -1, 15, 0], [-24, 35, -35, 24], [-12, -3, -12, 0], [14, 14, 14, 0], [-9, -3, 3, 9], [-25, 28, -25, 0], [20, 0, 19, -19], [-7, 7, 0, -2], [-7, 0, -3, 3], [0, 7, -12, 7], [38, -28, 28, -38], [18, -18, 0, 6], [-12, 0, 12, -12], [5, -5, 0, -15]], 'char_orbit_index': 6, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 4503943258308762, 'hecke_ring_character_values': [[45, [1, 0, 0, 0]], [57, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'id': 16330, 'label': '154.2.f.b', 'level': 154, 'maxp': 997, 'weight': 2}