Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0], [2, 0, 1, 0], [1, 1, 0, 0], [-1, 0, 0, -1], [0, 1, 0, 0], [-2, 0, -1, 0], [1, 0, 0, 0], [5, 1, 1, 0], [1, 0, 0, 0], [-1, 1, 0, 1], [2, 0, 1, 0], [1, -1, 0, 1], [1, 1, 0, 0], [0, 1, 0, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [0, 1, 0, 0], [1, 2, 1, 0], [-2, 0, -1, 0], [1, 3, 0, 1], [1, 0, 0, 0], [2, -1, 0, -1], [5, 1, 1, 0], [-1, 1, -1, 0], [1, 0, 0, 0], [-1, -1, -1, 0], [-1, 1, 0, 1], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, -1, 0], [1, -1, 0, 1], [-1, -6, 0, -1], [1, 1, 0, 0], [0, -2, 1, 0], [0, 1, 0, 0], [3, 3, 0, -1], [-1, 0, 0, -1], [3, 6, 1, 1], [0, 0, 0, 0], [0, -1, -1, 1], [0, 1, 0, 0], [1, 0, 0, 0], [1, 2, 1, 0], [6, -1, 2, 0], [-2, 0, -1, 0], [4, -1, 0, -1], [1, 3, 0, 1], [-2, -1, -1, -1], [1, 0, 0, 0], [-4, 1, 0, 0], [2, -1, 0, -1], [-2, 0, -1, -1], [5, 1, 1, 0], [8, -1, 0, -1], [-1, 1, -1, 0], [2, 0, 1, 0], [1, 0, 0, 0], [-3, -6, -1, -1], [-1, -1, -1, 0], [0, 0, 1, -1], [-1, 1, 0, 1], [0, 0, 0, 0], [1, 1, 0, 0], [-9, 2, 0, -1], [2, 0, 1, 0], [-3, 2, 0, -2], [1, 1, -1, 0], [11, 5, 2, 1], [1, -1, 0, 1], [-1, 0, 0, -1], [-1, -6, 0, -1], [3, 3, -1, 0], [1, 1, 0, 0], [10, 1, 1, 0], [0, -2, 1, 0], [3, 0, -1, 0], [0, 1, 0, 0], [5, 0, 2, 1], [3, 3, 0, -1], [-6, 2, -2, 0], [-1, 0, 0, -1], [1, -2, -1, 1], [3, 6, 1, 1], [-2, 0, -1, 0], [0, 0, 0, 0], [4, -5, 1, -1], [0, -1, -1, 1], [-3, 0, 0, 1], [0, 1, 0, 0], [-1, 0, -3, 1], [1, 0, 0, 0], [-3, -5, -1, 2], [1, 2, 1, 0]], 'ap': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 1, 0, 0], [1, 0, 0, 0], [-1, 0, 0, -1], [-2, 0, -1, 0], [-1, 1, 0, 1], [1, -1, 0, 1], [0, 0, 0, 0], [2, -1, 0, -1], [-1, 1, -1, 0], [1, 1, -1, 0], [0, -2, 1, 0], [3, 3, 0, -1], [0, -1, -1, 1], [4, -1, 0, -1], [-2, 0, -1, -1], [8, -1, 0, -1], [0, 0, 1, -1], [-9, 2, 0, -1], [-3, 2, 0, -2], [3, 3, -1, 0], [3, 0, -1, 0], [1, -2, -1, 1], [-1, 0, -3, 1], [-3, 0, -1, 3], [-2, -3, 1, 1], [8, 3, -1, 1], [3, 5, 0, -2], [-6, -1, -1, 2], [5, 1, -1, 2], [-3, -5, 0, 1], [-2, -3, -1, -2], [-3, -4, 1, 0], [7, 0, 1, 1], [3, 0, 0, 3], [-4, 1, 0, 3], [3, -3, 1, 2], [6, -2, 2, 0], [-10, 1, 0, -1], [-4, 2, -3, -1], [9, -5, -1, 0], [12, -1, 1, -1], [-1, -4, -2, -2], [7, 1, 2, 2], [9, -1, -1, 2], [-9, -4, 1, 2], [0, 2, 0, 0], [20, 0, -1, 1], [0, -3, 3, -1], [0, 6, 2, -1], [-6, 5, 3, -1], [8, -2, 2, 1], [-3, -6, 3, -2], [-4, -1, 1, 0], [4, -3, 1, 3], [3, 3, -3, 0], [8, -5, 1, -1], [6, -3, 1, 3], [1, -4, -1, 0], [8, -6, -1, 1], [-1, -2, -1, -1], [3, -7, -2, 1], [-7, 3, -1, -2], [-2, -2, -2, -1], [5, -1, 2, 0], [-5, 5, 2, 1], [9, 2, -2, 2], [-19, -1, -2, -1], [-17, 0, -2, -1], [-7, -2, -4, 2], [-9, -1, 1, -2], [18, -8, -2, 0], [1, -6, 2, 1], [-5, -7, 2, 1], [15, -4, 2, 5], [-21, -7, 1, 0], [5, 10, -1, -1], [-7, -4, -2, -2], [-3, 2, 3, -4], [13, 5, -2, -1], [-18, 0, 4, 0], [-11, 1, -3, 0], [-3, 8, -3, -1], [7, 6, 2, 1], [15, 5, 0, -1], [1, 4, 2, -4], [3, 1, -2, 0], [4, 3, 2, -1], [-11, 3, 3, -2], [-15, 7, 3, 2], [-17, -4, 4, -1], [-2, -9, -1, 3], [5, 3, -1, -2], [-4, -12, -1, 5], [4, 4, 0, 4], [-5, 2, 3, -3], [3, -3, 1, -4], [17, 3, 3, -2], [7, -1, 0, 4], [16, 1, -3, 3], [5, 3, 4, 0], [-2, 9, -2, 0], [-18, 6, 0, 1], [16, -1, 4, 0], [8, -3, 4, -2], [5, -1, 4, 5], [-9, -3, 0, 5], [9, -7, 1, -4], [-12, -7, 0, 5], [27, -1, 3, 4], [-2, -10, -1, 2], [12, -2, 1, 5], [11, -3, 1, 2], [5, 1, 1, 0], [4, 5, 3, 4], [28, -7, -3, -1], [-9, 6, 0, 7], [-7, 8, -1, -1], [-10, -5, 0, -6], [-12, -9, 0, -1], [-2, -2, 1, 3], [3, -6, 5, -3], [11, -12, -1, 0], [0, 6, 2, -2], [9, 1, -3, 2], [12, -2, 1, -6], [-3, 11, 1, 0], [0, 4, 2, -2], [1, -4, 5, -5], [11, 5, 5, -6], [-23, 1, -1, -2], [34, 2, 0, 2], [12, 12, -1, 0], [-25, -4, 4, 0], [-17, 13, 1, 0], [-12, -6, -2, -4], [-5, -7, 2, 5], [-35, 1, 1, 2], [29, 2, 1, -2], [1, 2, -1, -2], [1, 5, 0, -2], [-16, -3, 3, -3], [-5, -11, 4, -1], [-6, 5, -4, -1], [-4, 6, 2, 2], [-5, 4, -2, 3], [-2, -3, -7, 2], [13, -4, -3, 4], [-4, -2, 2, -6], [-5, -3, -3, 0], [-1, -5, 0, 6], [15, 17, -4, -1], [5, 6, -2, -1], [-19, 4, -1, -2], [1, 2, 6, -5], [13, -1, -1, -6], [-9, -6, -2, -5], [6, 4, 1, -1], [-8, 11, -1, -5], [18, -6, -3, 1], [4, 0, 5, -6], [-16, 7, 3, 1], [5, -1, -2, 7], [-15, 8, 5, -1], [12, 7, 1, -5], [11, -15, -5, 0], [3, -16, -1, -3], [-7, 8, -2, 6], [14, -4, 2, 6], [5, 1, -4, 1], [21, -11, -4, -2], [13, 4, 0, -3], [-23, 11, 3, -3], [14, 10, 0, 6], [12, -5, -3, 6], [-15, 0, 0, 5], [15, 10, -5, 5], [13, 7, 5, -4], [19, 10, -5, 3], [19, -6, -4, -1], [1, 7, -10, -1], [-24, 11, 4, 1], [5, 10, 1, 5], [26, 11, -3, -3], [-25, 0, 7, -1], [11, 0, 7, 1], [-11, 1, -4, -3], [26, 5, -5, 0], [-19, -6, 4, -3], [2, -2, 4, -1], [9, -1, -4, -3], [19, 9, 5, -2], [6, 7, -2, 1], [-32, -11, 0, 4], [-23, 8, -3, -6], [-18, 1, 6, -1], [3, 6, 8, -3], [-25, -5, -4, 2], [-4, -7, 3, 1], [14, 5, -1, 1], [-9, 10, 2, -7], [17, -1, -2, 0], [26, 0, 4, 8], [-2, 4, 5, 1], [24, -1, 5, 9], [11, -5, -3, 2], [-12, -10, -2, -2], [15, -10, 2, -6], [42, -8, 0, -2], [18, -8, 6, 5], [-26, -10, 7, -4], [18, -6, 2, 0], [-18, -11, 1, -3], [3, 4, -4, -1], [-3, 9, 1, 11], [-1, 3, 1, -2], [44, 11, -5, 2], [1, -9, -1, -6], [12, 9, 0, 9], [0, -14, 3, 2], [3, 7, -1, 0], [-23, -3, -1, 3], [-5, 10, 2, 9], [-15, 1, 10, -1], [-8, -21, -1, 7], [-36, -11, 1, 1], [1, 1, 5, -4], [26, 3, -3, 5], [13, -9, 0, 5], [-8, -2, 1, -8], [-23, -1, -2, -5], [-22, -2, -4, -6], [-10, 16, 0, -9], [-3, 9, 1, 8], [16, 3, -1, 1], [-22, -3, -3, -12], [-2, -3, 6, -5], [-14, 7, 3, 3], [-1, 3, -7, -2], [2, -5, -1, 3], [-49, -3, 0, 3], [21, -8, -4, -3], [-25, 6, 1, -5], [-8, 2, -3, 9], [19, 5, -1, -8], [-31, -10, 2, -5], [11, 12, 1, 2], [-17, 3, -9, 0], [-9, 11, -1, -4], [1, 7, 1, -2], [4, -12, -3, 1], [25, -8, -2, -5], [3, 3, 0, 6], [32, -4, -3, -4], [-20, 12, -1, 1], [5, 6, -5, 1], [11, 9, 0, 3], [-5, 5, -2, 10], [9, 1, 0, -6], [-4, -4, -10, -2], [5, 14, -3, 0], [-55, -2, 2, -3], [11, 9, 0, -6], [-7, 8, -4, -2], [-9, -3, -8, -1], [7, -6, 5, -7], [-1, 3, -4, 6], [4, 10, -6, -2], [-4, 6, 7, 6], [-10, -9, -2, -11], [20, -9, 2, -10], [-12, -10, 3, -4], [40, 7, 1, -5], [7, -10, 5, -12], [-2, -13, 1, -7], [1, 5, -3, 0], [1, 0, 5, 5], [-5, -2, -2, -8], [-28, 6, -5, 5], [-23, -5, 3, -6], [13, 1, 11, -6], [-43, -1, -5, 10], [-22, -1, -6, 7], [-1, 7, 2, -3], [25, -10, 8, 5], [11, -3, 6, -4], [4, -4, 3, 0], [-22, -1, 3, 7], [7, -5, -2, -1], [-7, -1, 3, 4], [31, 5, 4, 3], [3, 0, -8, 0], [-6, -13, 4, -6], [-15, -19, 4, -2], [22, -14, 1, 8], [9, 6, 2, 7], [-21, -12, -8, 9], [-30, -10, -5, 7], [-1, 11, -1, 0], [-20, 10, -3, 9], [9, 17, -6, 10], [-9, 0, 8, -1], [-5, 2, -5, 0], [2, 8, 3, 7], [12, 4, -2, -9], [38, -7, 6, 4], [-22, 1, -2, 7], [-13, 4, 6, 1], [-14, -6, -3, 2], [-5, -1, 9, 2], [-2, 8, 0, 4], [-16, 16, 1, -7], [-6, -6, -7, 5], [-11, -21, 1, -4], [-1, -19, 3, 7], [-8, 18, 6, 2], [-28, -14, 0, 4], [9, 6, -1, -8], [15, 3, 0, 5], [18, -15, 4, 6], [-30, -22, 3, 1], [8, 18, 4, -10], [-17, -20, -2, 9], [-23, 11, 0, 4], [-53, -6, 5, -4], [47, 14, -2, 5], [20, -7, 2, 10], [-6, -6, -8, 10], [21, 0, 9, 7], [-39, 12, 3, -1], [18, -1, 5, -5], [3, 13, -7, -2], [14, 0, -5, -1], [38, -4, 8, 6], [-16, 4, -7, -1], [33, 1, 4, -12], [-24, 5, 11, 0], [-13, 15, 1, -1], [-5, 1, -7, -10], [23, 27, -5, -2], [-4, -8, 2, -3], [-3, -3, -6, 0], [13, -9, -3, 4], [23, -5, 2, 4], [-3, -3, 9, -8], [-22, 20, 8, -4], [3, -2, -5, -8], [12, -14, 0, -4], [1, -7, 3, -4], [15, -19, 1, 6], [-17, 30, 1, -8], [-37, -22, 6, -5], [12, 20, -6, 10], [4, -5, 0, 7], [12, 23, -5, -5], [-48, 1, 7, -3], [-30, -5, -9, 11], [3, -6, -3, 3], [-4, -6, 2, -2], [-17, -12, -1, 3], [19, -3, -4, -3], [-44, -7, 1, -1], [30, -18, 3, 11], [30, -21, -8, 2], [34, -11, -3, 2], [14, -8, -4, 4], [30, 15, -1, -1], [18, -12, 6, 7], [-48, 15, 3, -3], [65, -2, -2, -1], [36, -19, 1, 7], [14, 5, 1, -9], [7, 6, -10, -3], [-4, -12, 4, -14], [34, -22, -10, 0], [-30, -2, 0, -6], [2, -10, -1, 2], [25, 10, -2, 2], [47, -10, -2, -2], [14, -8, 9, -8], [-15, -19, -3, 6], [4, 17, -1, 9], [12, 23, -1, -10], [10, 8, -4, -2], [-8, -13, -1, -7], [-1, 8, 0, -5], [21, -3, -8, 2], [25, 11, -1, 6], [-12, -4, 4, -12], [-30, -7, -4, -4], [-18, 9, 9, 3], [4, -6, -1, -15], [4, 8, -4, 16], [19, -19, -3, 10], [0, 5, 11, -4], [37, 28, -6, -1], [-2, -2, 6, 7], [26, 10, -7, -3], [-19, 6, -4, 7], [-30, 7, 14, 1], [1, 15, -3, 5], [-1, 1, -3, 14], [42, 3, -4, 1], [32, 13, -8, 1], [8, -16, -4, -4], [-10, -4, -9, 10], [-18, 6, -3, 7], [-8, 12, 1, 7], [31, -7, 6, 13], [-38, 5, 5, 7], [-12, -29, 2, 7], [33, -3, 2, -5], [65, 12, -3, 0], [16, -17, -6, 4], [-24, -5, -5, 3], [-4, -12, 0, 4], [30, 9, -5, -5], [-32, -10, 1, 1], [45, 7, -3, 4], [-14, -21, -2, 7], [25, -8, 1, -1], [-24, 1, 1, 7], [-32, 3, 4, -4], [-3, -6, -7, 1], [42, -13, -5, -3], [-23, -1, 8, -7], [-35, 17, -3, -15], [-35, -1, -6, -5], [-4, -14, 6, 6]], 'char_orbit_index': 1, 'field_poly': [4, -1, -10, 0, 1], 'hecke_orbit_code': 130604389227306222, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [5, 0, 1, 0], [1, 9, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-5, 0, 1, 0], [-1, -9, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 178518, 'label': '7406.2.a.bd', 'level': 7406, 'maxp': 2999, 'weight': 2}