Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0], [0, 0, -1], [0, 0, 0], [1, -1, -1], [0, 0, 0], [0, 0, 0], [-1, -1, -1], [2, 0, 0], [0, 0, 0], [0, 0, 0], [3, -2, -1], [0, 0, 0], [-1, 3, 2], [2, 0, 0], [0, 0, 0], [-2, 2, 0], [-2, -1, 2], [0, 0, 0], [-3, -2, 0], [0, 0, 0], [0, 0, 0], [1, 1, -4], [-3, 4, 3], [0, 0, 0], [0, 0, 0], [-3, -1, 3], [0, 0, 0], [2, 2, 0], [2, -1, 0], [0, 0, 0], [-1, 0, 0], [-2, -2, 2], [0, 0, 0], [-7, 3, 4], [0, 0, 0], [0, 0, 0], [-9, 1, 0], [-2, 2, 3], [0, 0, 0], [0, 0, 0], [2, 2, 3], [0, 0, 0], [-2, -2, 4], [7, -1, -3], [0, 0, 0], [-5, -1, 6], [2, 4, 2], [0, 0, 0], [-3, 4, 2], [0, 0, 0], [0, 0, 0], [-8, -2, 2], [-2, -5, -2], [0, 0, 0], [0, 0, 0], [-2, -2, -2], [0, 0, 0], [-1, 1, -2], [4, 2, -3], [0, 0, 0], [4, 0, -4], [0, 0, 1], [0, 0, 0], [-4, 0, 4], [0, 0, 0], [0, 0, 0], [-2, 3, -5], [-5, 3, 7], [0, 0, 0], [0, 0, 0], [8, 2, -2], [0, 0, 0], [-4, 0, 2], [1, -1, 9], [0, 0, 0], [-1, 5, 5], [1, 3, -1], [0, 0, 0], [3, 1, 2], [0, 0, 0], [0, 0, 0], [-7, 1, 1], [-3, 4, 1], [0, 0, 0], [0, 0, 0], [-14, 6, 6], [0, 0, 0], [6, -4, -2], [1, 6, -3], [0, 0, 0], [-6, -8, -2], [-13, -1, 5], [0, 0, 0], [-2, -2, 0], [0, 0, 0], [0, 0, 0], [2, -1, -7], [-2, -2, 5], [0, 0, 0], [0, 0, 0]], 'ap': [[0, 0, -1], [0, 0, 0], [0, 0, 0], [-1, -1, -1], [3, -2, -1], [-1, 3, 2], [-2, -1, 2], [-3, -2, 0], [-3, 4, 3], [2, -1, 0], [-1, 0, 0], [-9, 1, 0], [2, 2, 3], [-2, -2, 4], [2, 4, 2], [-2, -5, -2], [4, 2, -3], [4, 0, -4], [-2, 3, -5], [8, 2, -2], [-4, 0, 2], [3, 1, 2], [-3, 4, 1], [1, 6, -3], [2, -1, -7], [8, 0, 0], [5, -4, 2], [0, 8, -3], [-1, -3, 5], [2, -4, -6], [-2, 4, 0], [2, -4, 5], [-8, -7, 0], [-3, -3, -6], [4, 2, 5], [-10, -2, 6], [9, 2, 2], [-5, 8, 8], [2, -2, -8], [-4, -6, -5], [1, -1, 9], [5, -3, 0], [8, -2, 7], [-4, -9, 1], [-10, 0, -8], [-9, 3, -4], [-7, 14, 6], [-4, -6, 0], [0, -6, 6], [-5, -7, -4], [12, 4, 0], [-2, 3, -2], [9, -3, 2], [2, -3, -6], [-8, -4, -7], [8, -12, -12], [2, -12, -6], [-19, 3, 0], [-4, -6, 4], [-2, 4, 4], [-7, 10, 0], [-8, -6, -3], [-1, 3, -5], [-10, 4, 1], [-3, -13, -4], [-24, 4, 1], [-13, 5, 8], [9, -19, -2], [15, -7, -5], [-1, 2, 0], [-4, 13, 0], [12, -18, -8], [6, 6, -10], [4, 1, -7], [-13, -1, 7], [-8, -1, 10], [-6, 0, 4], [10, 1, 1], [-3, 10, 5], [-22, -8, 6], [4, 0, -2], [-27, -1, 1], [-16, 6, 10], [-10, -4, -14], [15, 3, 13], [-12, 12, -3], [-3, 10, -3], [-15, 11, 4], [-1, -6, -5], [6, -6, -10], [-18, 4, -10], [6, 4, 4], [-23, 9, 2], [-1, 0, 19], [-1, 7, -12], [-4, -10, 10], [16, 7, 0], [-12, 2, -13], [8, -6, 14], [-10, 5, -11], [4, 13, 15], [-3, 2, 19], [28, -10, -5], [-17, 0, -5], [4, 16, 0], [-1, 5, -3], [-5, -10, 15], [2, 2, 5], [2, 2, -1], [11, -7, -8], [24, -13, -5], [-18, -2, 2], [6, -6, 3], [-18, 8, 10], [19, 5, -8], [6, -5, -6], [-9, 7, -18], [-1, -8, -5], [-4, 8, 11], [-14, 18, 2], [-16, 1, -3], [-13, -11, -4], [19, -9, 7], [-28, -6, -12], [-13, 4, -10], [16, -10, -7], [11, 17, 4], [-34, -2, -6], [-3, 5, -9], [-29, -4, 2], [-11, 5, 8], [-19, 0, 3], [4, -17, -1], [21, -11, -4], [-21, 3, -17], [-30, -3, -13], [-17, 24, 19], [-8, -2, 2], [-37, 19, 7], [-26, 15, 4], [-17, 19, -5], [9, -16, -15], [-8, -16, -14], [-12, -1, -4], [-5, 5, 12], [8, -4, 4], [25, -1, -1], [30, 12, -3], [-12, 4, -6], [-2, 18, 2], [18, 12, 6], [-12, -6, -6], [-11, 5, 14], [2, -16, 1], [-7, -18, -20], [-10, -5, 6], [-32, -1, -11], [-4, 1, 4], [-7, -12, -4], [-1, -16, 3], [1, -2, -21], [-10, -4, 20], [-11, 5, 22], [8, 0, -19], [32, 8, 13], [2, -5, -2], [3, -5, 6], [20, -11, -9], [18, -8, -6], [18, -12, -22], [8, -16, 8], [36, -16, -2], [18, -4, -8], [-9, -4, -16], [-16, 4, -4], [-16, 22, 8], [-11, 5, -1], [-6, 10, -9], [3, -10, -8], [-28, 18, -4], [-2, -3, 17], [10, 21, -2], [-2, 13, 5], [-30, -7, 2], [6, 10, -3], [8, -3, 28], [0, 9, 15], [21, 5, 11], [13, 1, -24], [-4, -22, 9], [11, 17, -8], [-42, -2, 7], [33, 7, 16], [-30, 12, -4], [18, 2, 14], [-41, 26, 13], [3, -3, -18], [-6, 4, -30], [16, -20, 8], [-8, 18, -5], [0, 10, 10], [-7, -5, 16], [-17, -11, -27], [-13, 24, 14], [-26, 0, -8], [4, 6, 4], [13, 18, 6], [-18, -5, 6], [-8, 10, 10], [16, 13, -9], [-37, -9, 8], [-6, -4, 22], [25, 0, 20], [22, -10, 19], [26, -11, 4], [-13, -8, 2], [-32, -13, -3], [6, 18, 33], [17, -14, -9], [36, -12, -14], [38, -2, 16], [-26, 19, 3], [-2, -8, -2], [44, -19, -13], [14, 2, -18], [46, -28, -12], [38, 14, -5], [-17, -14, -31], [24, 10, 6], [4, -24, -19], [25, -3, -2], [-39, 9, 13], [16, -27, -3], [19, 11, 3], [-15, 17, 10], [35, -34, -15], [-18, -25, 15], [6, -14, -17], [-33, 10, -15], [-2, -13, -4], [26, -28, 3], [-1, -3, 20], [5, -31, -2], [36, 10, 26], [41, -22, 1], [2, -8, -9], [3, -3, -14], [40, 13, -6], [-45, -1, 2], [-12, 0, 0], [-3, 24, -12], [32, 4, 1], [26, -3, 14], [45, -21, -5], [-48, 0, -4], [8, -14, -8], [24, -17, 3], [-1, -1, -30], [-46, 20, 12], [-39, 11, 19], [13, 21, -3], [-24, 11, 6], [-22, 12, 0], [-21, 6, 4], [-15, 14, 17], [-27, 9, 11], [-38, -12, -13], [-8, -2, 23], [-22, 13, -3], [34, -4, 7], [6, 17, -23], [40, -24, -10], [1, -21, 14], [6, -30, -8], [-26, 20, -12], [67, -6, 0], [38, 2, 15], [28, 4, 24], [22, -2, -10], [55, 10, 15], [-30, 16, 4], [24, 11, 15], [34, 2, -3], [-17, 1, -27], [-14, -15, -13], [3, 29, -17], [12, -20, -2], [-22, 11, -12], [47, 2, 6], [28, 13, 34], [6, 34, 6], [34, -18, -6], [7, 10, 23], [22, -10, 20], [-8, -26, 8], [-30, 9, -2], [-21, -1, -16], [18, -2, -20], [5, -32, -25], [-23, -17, -8], [-56, 25, 15], [-21, -22, -25], [-5, -15, -16], [-8, 20, 1], [24, -24, 14], [25, 19, 17], [47, 10, -5], [-2, -3, 29], [-19, 38, 9], [-2, 17, 1], [-12, -17, -26], [8, -18, -30], [-14, 2, -3], [-9, 11, -26], [52, -2, 12], [-3, 5, 18], [22, -37, 0], [-28, 40, 0], [24, 21, -17], [-16, 10, 10], [-28, 0, 12], [8, 6, -28], [-14, 8, -23], [0, -45, 11], [-70, 0, 6], [22, -8, 12], [17, -15, 17], [-12, -1, 27], [47, -11, 11], [-36, 25, 10], [-14, -15, -13], [-2, -8, 4], [-7, -2, -8], [14, -1, -26], [31, -42, -12], [-18, -10, -2], [10, 14, -32], [30, -32, -12], [-4, 21, 17], [34, -38, -6], [50, 0, 14], [-40, 14, -4], [-4, -6, 28], [25, 3, 34], [-4, 44, -6], [-16, 32, 2], [47, 2, 8], [-16, -20, 4], [-13, 18, 9], [-46, 20, 17], [33, -31, -8], [-35, -23, 6], [-52, 28, 8], [7, -37, 6], [26, -41, -9], [-44, 34, 10], [-40, 9, 22], [22, -26, -30], [-26, -3, -38], [14, -34, -21], [-1, 18, 36], [11, -14, 1], [-18, -22, -10], [48, -36, -8], [5, 21, 41], [-18, 36, 16], [-20, -8, -22], [-29, -11, -44], [-39, 11, 7], [-36, -26, 15], [-9, 19, 29], [-14, -6, -38], [4, 40, 10], [-37, 15, 29], [22, 32, -18], [-47, -24, -3], [12, 36, 2], [47, -23, 1], [-14, 22, 12], [-5, -1, 12], [-38, 7, -2], [-11, 25, -7], [57, 9, 4], [-10, 15, 20], [-30, -32, -4], [28, -48, -27], [23, 16, -4], [-57, 41, 14], [-5, 11, 22], [10, 26, 12], [2, 22, 14], [-1, 23, -1], [-52, -20, 4], [18, -35, 7], [16, -4, -28], [-17, 1, -7], [2, -36, -36], [48, 8, 16], [-17, -11, -42], [-23, 20, -15], [-21, 7, 14], [-40, -4, -28], [-37, -14, -24], [8, -38, -33], [38, 15, 6], [-41, -13, -11], [-34, 40, 18], [20, -2, -2], [-45, 9, 26], [34, -23, 16], [4, 18, -4], [-22, 10, 6], [58, -10, -16], [-8, 10, -6], [-9, -15, 23], [36, 0, -4], [22, -5, -20], [16, 11, 35], [22, -20, 9], [16, -12, 4], [0, 27, 30], [13, -33, -2], [1, -5, 5], [54, -22, 4], [13, -13, -13], [-42, -16, 26], [44, -26, -21], [-26, -8, -24], [8, -32, -10], [-37, 37, 27]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 126100789599935295, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 173598, 'label': '6975.2.a.bc', 'level': 6975, 'maxp': 2999, 'weight': 2}