Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, -1], [0, 0, 0, 0], [1, -1, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 1], [0, 0, 0, 0], [2, 1, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [3, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 1, 0, -1], [0, 0, 0, 0], [3, 1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, -3, 0, 3], [0, 0, 0, 0], [4, 2, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 1, -2, -1], [0, 0, 0, 0], [2, -1, -1, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 2, 0, 0], [0, 0, 0, 0], [6, 1, 2, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 2, -1, 0], [0, 0, 0, 0], [5, 1, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, -1, -2, -1], [0, 0, 0, 0], [2, 0, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -4, 2, 2], [0, 0, 0, 0], [2, -1, -3, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 1, -2, -1], [0, 0, 0, 0], [5, -1, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -2, -2, 0], [0, 0, 0, 0], [2, 1, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 1, -1], [0, 0, 0, 0], [3, -1, 2, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 2, 2, -3], [0, 0, 0, 0], [8, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 4, 0, -2], [0, 0, 0, 0], [0, -2, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 1, 0], [0, -1, 0, 0], [0, 0, 1, -1], [1, -1, 0, 1], [1, 0, 0, 1], [2, 1, -1, -1], [-1, 0, 0, 0], [3, 1, 0, -1], [3, 1, 0, -1], [4, 2, -1, -1], [1, 1, -2, -1], [2, -1, -1, 3], [-2, 2, 0, 0], [3, 2, -1, 0], [-5, -1, -2, -1], [2, 0, -1, 1], [2, -1, -3, 1], [-3, 1, -2, -1], [5, -1, 0, 3], [2, 1, 0, -2], [-4, 0, 1, -1], [3, 2, 2, -3], [0, -2, 2, 0], [7, -1, 0, -1], [4, -1, 2, -2], [-2, 2, -3, 1], [2, 0, -5, 1], [-5, -2, -2, 1], [4, -2, 4, 0], [-6, -2, 2, 0], [5, -2, 0, 5], [4, 0, 0, 0], [7, 0, -1, 4], [-1, 3, -4, -1], [-4, -2, -3, 1], [6, 0, 6, -4], [1, 1, -2, 3], [13, -1, 4, -3], [3, -1, 4, -3], [0, 2, -3, 1], [-10, 2, 2, 0], [3, -3, 2, 5], [3, -3, 2, 1], [4, 1, 0, 4], [-2, 4, -2, 0], [-1, 3, 4, -1], [-6, 2, -7, 1], [2, 0, 5, -1], [-8, 4, 0, 0], [0, -4, 0, 0], [-6, 4, 2, -2], [-6, -2, 5, 1], [-17, -1, -2, -3], [6, -2, 0, 2], [-3, -1, -6, 3], [0, 2, 0, 0], [-14, 0, 2, -2], [-5, 0, -6, 1], [-2, -5, 1, 1], [11, 4, -5, 0], [-6, -4, 2, 4], [3, 3, -10, -1], [-4, 6, -2, 0], [13, -5, -4, 5], [-10, 0, 6, 0], [-8, -6, 4, -2], [11, -1, 4, 5], [-5, -3, 2, -3], [-6, -4, 0, 2], [8, 0, -2, -2], [-10, 1, 4, -2], [-4, -2, 1, 5], [6, -5, 1, 5], [6, 2, 0, -2], [-7, 2, -1, -6], [0, 2, -4, -2], [1, 0, 0, 1], [-5, 1, -6, 5], [4, 4, -3, -5], [-12, 2, 1, 1], [10, -2, 2, 4], [6, 4, -6, -6], [-4, -4, 4, 0], [10, 2, 4, -2], [-9, -5, 6, 5], [-28, -2, 2, 0], [1, -5, -6, 7], [-4, 8, 0, -4], [-16, 4, 7, -3], [-12, -4, -4, 4], [0, -4, 8, 0], [13, 1, 0, -1], [8, 2, -2, 6], [4, -4, -6, 6], [-13, 1, 8, -1], [-3, -4, 8, 1], [14, 3, 3, -1], [-3, -5, 2, 7], [-16, 2, -10, 2], [3, -4, 1, 2], [8, -4, 3, 5], [3, 4, 0, -1], [2, 1, 3, -1], [8, 6, -2, -2], [8, 4, -2, -6], [5, 1, -10, 3], [28, 0, 4, 0], [16, 6, -10, -2], [-3, 1, 4, -3], [20, 2, 1, -3], [-19, 4, 6, -5], [14, -3, 7, -1], [4, -3, -10, 6], [7, 2, 4, 3], [26, -1, -1, 3], [-15, -7, 2, 5], [1, -3, 4, -3], [-8, 0, -13, 1], [12, 2, 5, -7], [6, 4, -2, 0], [27, 0, 3, -4], [-4, 0, -2, 6], [-2, 0, 2, 4], [17, 4, -1, 2], [14, 0, -3, 3], [5, -3, -2, 5], [-14, -1, -4, -6], [0, -2, 7, -9], [14, 6, 0, 6], [-12, 0, -4, -8], [-8, -5, 10, -2], [-8, 6, -1, -1], [-8, 6, 0, 0], [24, -2, -6, 0], [5, -6, -5, 6], [-2, -1, -7, 5], [7, -6, -3, -2], [-40, -2, 0, 0], [8, -10, -2, 10], [-17, -1, -4, 3], [21, -1, -4, 5], [30, -2, -3, 5], [23, 5, -2, 5], [14, -6, -8, 10], [8, 6, -4, 2], [2, -2, -4, -2], [-2, -6, 0, 6], [-9, -1, -2, -5], [8, -10, 2, 4], [-35, -2, 2, -5], [-12, -2, -2, -2], [-16, 4, -8, 6], [-10, -1, 9, 1], [-6, 6, -6, 4], [12, 5, -8, -4], [11, 7, -6, 5], [2, 4, 4, -4], [-21, 2, -1, -4], [-29, -9, 12, 5], [25, -2, -4, 1], [5, 3, 4, -3], [-6, -6, 1, 9], [5, 4, 12, -11], [20, 8, -2, -6], [11, -3, -8, 7], [9, 3, 2, 3], [2, 4, 10, 2], [9, -3, -4, 13], [-14, -10, 5, 9], [16, -2, -10, 8], [12, 12, -4, 0], [6, -4, 12, -8], [12, -6, -8, 12], [-9, -10, 10, 5], [-8, -4, -4, -4], [-21, -9, 6, -7], [22, -1, -2, 0], [-22, 0, -1, 1], [-35, -1, 8, 1], [4, -8, -3, -1], [-4, -10, 10, -4], [-18, 4, 4, -14], [18, -6, 6, 0], [-5, 6, 5, -14], [-18, 4, 4, -8], [-6, -1, 3, 7], [-7, -1, -8, -5], [-26, -6, 4, 0], [29, 3, 4, 3], [-34, 10, 2, -4], [22, 7, -3, -7], [15, 7, -2, 5], [0, 8, 9, -5], [-1, -4, -10, 5], [-4, -6, 4, -6], [-24, 6, -1, -9], [-9, 6, -6, 5], [-16, 0, 12, -4], [13, 6, -13, 2], [16, 6, -12, 4], [-26, -4, -2, 6], [-4, 2, -4, -6], [32, -4, -7, 7], [19, -3, 4, 11], [-8, 1, 4, 0], [23, 11, -6, -1], [9, -11, -6, 3], [-30, -4, 2, -12], [-25, -3, -8, 1], [-33, -1, 10, 1], [-16, 1, -2, 6], [-24, -4, -5, 1], [15, 3, -14, 5], [4, -2, 14, -8], [-23, 1, -8, -3], [0, 6, 0, 0], [38, -6, 0, 6], [-3, 13, -6, -1], [-27, 3, -8, 5], [-8, 5, 14, -10], [-16, 2, -4, 4], [8, -7, -2, 2], [-14, 6, 0, -14], [9, 3, -8, -7], [5, -8, 6, -5], [-16, 4, 16, -6], [-10, 1, 18, -4], [0, 0, 12, 4], [-3, -5, -6, 7], [-6, 7, 9, -11], [-10, 5, -6, -4], [13, -5, -6, -1], [42, 1, -3, 5], [0, -4, 22, -2], [-4, 6, 2, 4], [-19, -12, 11, 6], [-20, 4, -6, -6], [-12, -8, 12, 2], [-38, 2, -3, -3], [-6, -12, 6, 8], [-9, -3, 0, -5], [17, 11, -16, -7], [32, 4, -4, -4], [28, -4, 8, 4], [-32, 10, 4, -12], [-10, 2, 19, -1], [10, 7, -1, -9], [-42, -6, 12, 2], [-18, 4, 13, -5], [25, 8, -10, 3], [22, -2, 4, -6], [-10, 0, -8, -4], [-17, 3, 6, -11], [-10, 6, 0, -10], [-24, -6, 1, -11], [2, 1, -11, 13], [7, 1, -6, 5], [-31, -5, -2, -1], [-2, -1, -10, 8], [2, -6, 1, 17], [-6, 4, 14, -10], [48, -6, 5, -3], [26, 2, -4, -2], [30, -11, -7, 13], [-31, -8, 11, 2], [29, 4, -2, -9], [34, 7, -3, 1], [-1, -11, 18, -3], [-16, 6, -2, 0], [10, -1, -7, -7], [4, -2, 4, 2], [-12, -7, 6, 10], [10, -8, 8, -8], [4, -4, 8, -4], [-7, 5, -18, 5], [6, -12, -8, 12], [-30, -16, 16, 8], [-26, 6, -5, 3], [-25, -1, -10, -5], [2, 13, 6, 0], [-36, 4, -10, 2], [4, 2, 19, 3], [-24, 2, -14, 2], [-23, 1, -6, -3], [4, -6, -2, -4], [19, 12, -7, -14], [0, -4, -12, -4], [-37, -3, 2, -3], [-9, -4, -13, 8], [-44, 4, 7, -11], [-21, 1, 6, -7], [16, 0, -1, 1], [5, -1, 26, -1], [-9, 2, 3, -12], [-6, 1, 8, 2], [25, -3, 4, -3], [4, 4, -12, 8], [-36, -4, -8, 0], [-4, 2, 2, -4], [-21, 4, -11, -2], [18, 7, -8, -10], [-23, -3, 14, 1], [-26, 1, -3, -11], [-21, 1, -2, 5], [-36, -8, 0, -4], [18, 8, 3, 9], [56, 0, 12, 0], [23, -7, 8, -1], [-41, 7, 6, -5], [9, 2, 1, 0], [47, 6, 4, -1], [46, 2, -4, -2], [54, -2, 2, 12], [36, -6, 4, 14], [-12, 0, 20, 0], [18, -2, -12, 4], [14, 12, -8, -12], [-37, -5, 2, 5], [26, -9, 7, 3], [-46, -4, -2, -6], [25, 9, -10, -1], [-1, -5, 8, -13], [31, -8, 0, 3], [-28, 2, -6, -4], [26, 7, 1, 1], [-4, -8, -4, 4], [-4, 0, -16, 0], [29, 0, 11, -2], [0, 10, -6, -8], [-5, -1, 16, 3], [44, 0, 8, 4], [14, -2, 2, 4], [54, 7, -7, 1], [9, -11, 0, -1], [-8, 2, -1, 11], [15, 8, -2, -15], [31, -11, -14, 13], [2, 9, -6, -12], [35, 5, -8, 3], [47, 2, 8, 7], [-11, -15, 14, -5], [22, 9, -4, -14], [-3, -6, 3, 6], [-26, -2, -8, -10], [9, -1, 8, -15], [-10, -4, 2, -8], [-6, -14, 18, 4], [19, 16, -5, -8], [8, 16, -8, 0], [18, -12, -14, 4], [-21, 1, 6, 5], [-14, -7, -12, 18], [-28, -10, 7, -9], [-18, 0, 4, 10], [-14, 10, 0, -6], [-2, -10, 11, -5], [-12, -2, -12, 8], [-14, -18, 4, 16], [10, 8, 9, -9], [31, -11, -2, 5], [7, -1, 2, -3], [38, -6, -9, 11], [-2, -2, 20, -10], [-7, 3, -4, 3], [-1, -5, 22, -3], [-16, -17, 12, 16], [6, 4, 6, -14], [13, 1, 8, -1], [-28, 2, 2, -2], [-23, 1, -2, -13], [-45, -14, 5, -2], [42, 3, -6, 8], [-8, 2, 4, -2], [-30, -2, -2, 12], [-14, -6, 18, 8], [-20, -10, 0, -2], [31, 6, 4, -9], [-1, 5, -18, 9], [-35, 4, -5, -10], [21, -2, -12, 1], [-40, -10, 8, 8], [-13, -1, -22, -3], [-6, 3, -1, -13], [44, 8, 0, -12], [4, -6, 4, 16], [-2, -12, 22, -10], [30, 1, 5, -7], [-6, -6, 22, -4], [-12, -10, -4, -2], [-11, -21, 18, -5], [33, 5, 2, -11], [40, 10, -6, -10], [2, -14, -10, 28], [22, 4, 14, 6], [-14, 5, -26, 12], [-3, 12, -20, 5], [-34, 5, -5, -17], [-49, -1, 2, 1], [18, 0, -4, -4], [5, 11, 6, 3], [28, -1, 0, 8], [-7, -14, -4, 25], [-15, 13, -6, -13], [-39, 9, 8, -11], [28, 2, -1, -13], [53, -5, -10, 3], [34, -5, 15, -1], [7, 3, 8, -7], [-32, -2, -14, 6], [-47, 1, 2, -5], [6, -14, 7, -5], [6, 11, -17, -5], [-22, 4, -8, 0], [7, -3, -4, -1], [20, 8, -8, 14], [43, -7, -16, 7], [-5, -10, 20, 3], [-32, -8, -2, 10], [-39, 0, -17, 6], [-30, 4, -1, 1], [-20, 4, -24, 12], [21, -15, -18, 21], [40, -2, 8, 6], [-13, -13, 20, -9], [-32, 4, -15, 3], [12, 0, 0, -4], [8, 10, -2, 10], [46, 10, -8, -12]], 'char_orbit_index': 1, 'field_poly': [2, 6, -5, -2, 1], 'hecke_orbit_code': 67553994444113528, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [1, 1, 0, -1], [7, 1, 2, -1], [11, 7, 2, -5]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, -4, -1, 1], [-3, -1, 1, 0], [1, -6, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 84214, 'label': '1656.2.a.p', 'level': 1656, 'maxp': 2999, 'weight': 2}