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

Formats: - HTML - YAML - JSON - 2026-05-30T16:59:31.705885

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], [-2, 0], [0, 0], [0, 0], [0, 0], [-3, -3], [0, 0], [1, 0], [0, 0], [1, -1], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [-1, -1], [0, 0], [3, -3], [0, 0], [6, 6], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [-7, -7], [0, 0], [0, 2], [0, 0], [-2, 2], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 4], [0, 0], [0, 4], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [-7, 7], [0, 0], [0, 11], [0, 0], [2, 2], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [-6, 6], [0, 0], [-3, -3], [0, 0], [-1, 1], [0, 0], [-3, -3], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [-3, -3], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [-8, 0], [0, 0], [-11, 0], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [14, 14], [0, 0], [-6, 0], [0, 0], [-6, 6], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [11, 11], [0, 0], [1, -1], [0, 0]], 'ap': [[0, 0], [-2, 0], [0, 0], [-3, -3], [1, -1], [0, -2], [-1, -1], [3, -3], [-1, 1], [-7, -7], [0, 2], [0, 6], [0, 4], [0, -4], [-7, 7], [8, 0], [-3, -3], [-1, 1], [0, 4], [0, 0], [-3, -3], [-8, 0], [-2, 0], [-6, 0], [11, 11], [-5, -5], [-5, 5], [-6, 0], [5, 5], [-13, 13], [-7, 7], [7, 7], [9, -9], [9, 9], [1, -1], [-8, 0], [-20, 0], [14, 0], [-3, -3], [0, -6], [-5, 5], [3, 3], [0, 18], [15, -15], [0, -6], [0, -10], [19, 19], [-9, -9], [0, 12], [1, -1], [9, 9], [0, 0], [-14, 0], [-11, 11], [-13, -13], [7, -7], [1, 1], [0, -30], [0, -18], [0, -16], [0, -12], [12, 0], [0, -4], [-16, 0], [13, 13], [-8, 0], [21, -21], [11, 11], [2, 0], [-3, -3], [-13, 13], [0, 14], [21, -21], [4, 0], [-15, -15], [-5, -5], [-23, 23], [32, 0], [-2, 0], [-38, 0], [-17, 17], [-5, -5], [0, 2], [-5, 5], [0, -26], [0, 4], [0, 24], [-7, 7], [-21, 21], [19, 19], [0, -28], [32, 0], [-15, -15], [9, -9], [-29, 29], [-29, 29], [17, 17], [0, 16], [0, -20], [15, -15], [0, 28], [-28, 0], [-18, 0], [-6, 0], [25, -25], [-9, -9], [2, 0], [-17, 17], [0, 30], [0, -16], [-23, 23], [-8, 0], [25, -25], [-7, -7], [-24, 0], [-30, 0], [-26, 0], [-15, -15], [0, -2], [11, -11], [-25, -25], [-1, 1], [0, 42], [0, 4], [-21, -21], [-13, 13], [1, -1], [32, 0], [-7, -7], [0, -30], [-21, 21], [31, -31], [0, 50], [0, -2], [0, -40], [0, 4], [-48, 0], [0, -4], [0, 0], [-26, 0], [9, -9], [15, 15], [-21, 21], [-54, 0], [-27, -27], [0, -18], [-16, 0], [-27, 27], [-19, -19], [-5, -5], [-4, 0], [46, 0], [6, 0], [-23, -23], [50, 0], [0, -38], [0, 46], [0, -16], [-3, 3], [-1, 1], [0, 28], [-31, -31], [33, 33], [-31, 31], [-17, -17], [-5, 5], [0, 10], [0, -22], [0, -28], [-40, 0], [13, 13], [31, -31], [16, 0], [-15, -15], [8, 0], [-6, 0], [5, -5], [15, 15], [-21, 21], [21, 21], [-27, 27], [-21, -21], [16, 0], [-19, 19], [-9, -9], [-3, 3], [4, 0], [-50, 0], [-54, 0], [0, -54], [23, -23], [0, -12], [-33, -33], [-5, 5], [0, -60], [-3, -3], [-18, 0], [0, -34], [15, 15], [-21, 21], [-43, -43], [0, -46], [0, 58], [0, 24], [-31, -31], [-12, 0], [56, 0], [30, 0], [42, 0], [-3, 3], [3, 3], [11, 11], [19, -19], [2, 0], [0, -10], [0, -4], [-27, 27], [-50, 0], [41, 41], [0, 30], [39, 39], [0, 14], [0, 60], [15, 15], [0, -36], [17, -17], [41, 41], [-40, 0], [-27, -27], [1, -1], [0, -18], [39, -39], [0, 34], [0, -72], [0, -60], [21, -21], [0, -40], [48, 0], [1, 1], [24, 0], [-18, 0], [41, -41], [3, -3], [9, 9], [-21, 21], [0, -10], [13, -13], [43, 43], [37, 37], [43, 43], [-16, 0], [-70, 0], [-3, -3], [-18, 0], [0, -38], [47, -47], [-33, -33], [50, 0], [0, -58], [-15, 15], [-9, -9], [0, 4], [21, -21], [0, 34], [35, 35], [39, -39], [-27, -27], [0, -20], [0, -20], [-36, 0], [43, -43], [0, -44], [-39, -39], [16, 0], [15, 15], [-33, 33], [-30, 0], [-51, -51], [0, -16], [-37, -37], [19, 19], [-56, 0], [17, 17], [-21, -21], [-62, 0], [0, 26], [39, -39], [0, -22], [0, 70], [0, 76], [-25, 25], [0, -36], [17, 17], [-3, 3], [0, 18], [17, 17], [0, 18], [-4, 0], [25, 25], [0, 84], [-15, -15], [68, 0], [-88, 0]], 'char_orbit_index': 19, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 1236984137280, 'hecke_ring_character_values': [[1151, [-1, 0]], [901, [0, 1]], [577, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'id': 82653, 'label': '1600.2.s.a', 'level': 1600, 'maxp': 1999, 'weight': 2}