Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, -1], [0, 0, 0, 0, 0], [1, 0, 1, -1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -2, 2, 0, -2], [0, 0, 0, 0, 0], [0, 0, 0, 0, -1], [0, 0, 0, 0, 0], [1, 0, 2, 1, 1], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -1, 0, 1, 0], [0, 0, 0, 0, 0], [2, 3, -1, 0, 1], [0, 0, 0, 0, 0], [-3, -1, 1, 1, -1], [0, 0, 0, 0, 0], [1, 0, 0, -1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, -2, -1, 1], [0, 0, 0, 0, 0], [1, 3, -2, 0, -1], [0, 0, 0, 0, 0], [-1, 1, 0, 1, 2], [0, 0, 0, 0, 0], [2, 2, 0, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [3, 2, -3, -1, 1], [0, 0, 0, 0, 0], [3, 2, 0, 0, -1], [0, 0, 0, 0, 0], [-2, 4, -2, 0, 2], [0, 0, 0, 0, 0], [3, -2, 2, 1, -3], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, -1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 1, 2], [0, 0, 0, 0, 0], [1, 0, -2, -1, -3], [0, 0, 0, 0, 0], [1, 2, 2, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -2, 0, 2, 2], [0, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 4, -3, -2, 2], [0, 0, 0, 0, 0], [-1, 3, -5, -1, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, -4, 2, 1, -2], [0, 0, 0, 0, 0], [1, 0, 2, 1, 2], [0, 0, 0, 0, 0], [-6, 1, -2, 1, 1], [0, 0, 0, 0, 0], [-2, 4, -4, 0, 3], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [9, 1, 3, 0, -1], [0, 0, 0, 0, 0], [2, 4, -2, 0, 0], [0, 0, 0, 0, 0], [-8, 0, 2, 2, 1], [0, 0, 0, 0, 0], [0, -3, 1, 1, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, -1, 3], [0, 0, 0, 0, 0], [-2, 2, -2, 0, 1], [0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, -1], [1, 0, 1, -1, 0], [2, -2, 2, 0, -2], [0, 0, 0, 0, -1], [-1, 0, 0, 0, 0], [2, 3, -1, 0, 1], [-3, -1, 1, 1, -1], [1, 0, -2, -1, 1], [-1, 1, 0, 1, 2], [2, 2, 0, 0, -1], [3, 2, -3, -1, 1], [3, -2, 2, 1, -3], [0, 0, 0, 1, 2], [1, 0, -2, -1, -3], [2, -2, 0, 2, 2], [0, 4, -3, -2, 2], [-1, 3, -5, -1, 2], [1, 0, 2, 1, 2], [-2, 4, -4, 0, 3], [2, 4, -2, 0, 0], [1, 0, 0, -1, 3], [1, -6, 4, 0, -3], [1, 2, 2, -1, -2], [6, -4, 0, -2, -2], [9, 2, 2, -1, 1], [5, 0, -4, 1, -1], [6, 1, -1, 0, -2], [-3, 1, 2, -1, -1], [-2, 0, 0, -2, 4], [0, -4, 3, -2, 0], [6, 4, -2, 0, 0], [-6, 0, 1, -4, -4], [-1, 2, -6, 1, -3], [0, -3, 3, 2, -6], [7, -2, 6, -2, -1], [8, 2, -2, 3, 3], [0, -5, 1, -2, 2], [-2, -2, -4, -2, 2], [-3, -6, 8, 1, 0], [5, -5, 4, -3, -5], [2, -1, -6, -2, -1], [-3, 0, -6, -1, -2], [1, 2, 2, 0, 5], [-2, 4, -4, -1, 2], [10, 0, 0, 0, -2], [10, -6, 8, 2, -4], [12, -6, 7, 4, -3], [-6, -1, 0, 2, 0], [-7, -2, -4, -1, 3], [2, 4, 0, 2, 6], [3, 9, -4, 3, 5], [0, 0, 2, -4, 0], [3, 0, -3, 5, 2], [2, -4, 4, 3, -6], [4, -1, 6, 4, 1], [1, -8, 0, -1, -5], [0, -2, -2, 0, -4], [14, 2, 2, 0, 2], [8, 0, 0, 0, 8], [-4, -3, -9, 2, 0], [-1, 0, 4, -5, -1], [7, -4, 2, -3, 0], [-1, -1, -2, 1, -3], [7, -8, 6, 3, -3], [1, -6, -2, 0, 3], [11, -4, 1, 1, 6], [15, 1, -4, 1, -2], [7, -6, 6, 5, -4], [1, -4, 2, -1, -4], [-16, 6, -10, 2, 8], [0, -4, 4, 0, 0], [-1, -14, 8, 3, -6], [9, -10, 4, 3, -1], [-1, 3, 1, 1, 1], [7, -8, 6, -1, -5], [3, -1, -4, -3, 0], [-12, 0, -4, 0, -3], [16, -2, 0, -2, 2], [4, -2, 0, 2, 0], [3, 2, -2, -1, 7], [-7, -1, -2, -5, 5], [4, -4, -1, -2, -2], [-7, 2, -8, -4, -3], [-15, 8, 0, -5, -1], [7, -8, 5, 5, -6], [-11, 6, -2, 2, 7], [8, -6, -6, -2, 3], [-7, 4, 6, 3, 4], [3, -2, -1, 3, -3], [-19, 6, -11, 1, 9], [-16, -5, 4, 4, -6], [11, 6, 2, -1, 0], [5, -7, 8, -3, -1], [15, 8, -4, 1, -1], [2, -2, -4, 6, 1], [10, 9, -2, 2, 1], [1, -18, 7, 1, -1], [3, 12, 4, -1, -5], [-2, 2, 4, -8, 3], [-2, 6, 6, -4, 2], [-2, 0, 2, 0, 2], [-1, -11, 0, 1, 2], [3, -10, 9, 3, -1], [16, 6, -4, 0, 1], [-11, 10, -6, -4, -3], [-11, -5, 1, -5, 3], [-11, 10, 2, 3, 7], [-23, -2, 2, -1, 1], [-16, 2, -4, 0, 4], [-4, 0, -2, -2, 0], [-3, -4, -8, 3, 4], [-14, -4, 6, 4, -2], [-2, -12, 10, -4, -1], [-2, -9, 5, 4, -4], [4, 11, 3, 2, -1], [-8, -2, -10, 0, 9], [13, -2, -8, 3, -1], [-5, -1, 0, 1, -4], [1, -8, 8, -1, 1], [3, -1, 1, -1, 5], [-15, 6, -2, -10, 3], [16, -4, 0, 2, 0], [12, 12, -2, -6, 6], [-23, 2, -6, 3, -3], [-2, -4, -4, -8, -2], [2, 16, -8, -2, 0], [-3, 5, 7, 9, -5], [-5, 10, -4, 1, 6], [15, 6, 6, -5, 2], [-1, 0, -4, -9, -1], [7, 17, -7, 3, 4], [-3, 8, 4, 3, -7], [-9, 2, 4, -7, -1], [0, 6, -2, 6, 3], [15, -12, 0, 3, -1], [-3, -4, 0, -4, -8], [-14, -8, -3, 0, -6], [4, -2, -2, 3, -9], [3, -1, -2, 1, 15], [-16, -4, -10, 0, 3], [2, 2, -6, 7, 3], [-3, 14, -6, -3, 8], [-7, 0, -2, 7, -8], [-21, 3, 1, 5, 1], [-10, -3, -5, 0, 6], [-2, 3, -12, -2, -12], [-9, 10, 0, 6, 7], [1, -10, -4, 1, 9], [-23, 14, -18, -4, 11], [1, -5, -6, -1, 13], [2, 20, -14, -6, 9], [23, -8, 2, -5, -4], [0, -2, -2, 2, 12], [-11, 11, 3, -3, -4], [-7, 8, -2, 7, 7], [-1, 4, -12, -5, 1], [15, -11, -1, -5, -7], [11, 14, 2, -3, 7], [-36, -4, -3, 2, -4], [32, -4, 4, 6, 1], [-5, 28, -16, 1, 13], [19, -10, 8, 3, 0], [2, 8, -4, 9, 6], [-10, -14, -2, 1, 1], [-4, 2, 8, 10, -4], [12, 0, 7, -2, -2], [6, -2, 18, 0, 3], [13, 0, -7, -9, 8], [17, 6, 2, -1, 4], [-6, -14, 4, -2, 0], [12, 9, 8, -8, 2], [-14, -4, 0, -2, 6], [-21, -3, 3, -5, -7], [12, 3, -6, -4, 9], [-9, 0, -2, -3, -14], [14, 16, -4, 2, 2], [-11, 1, 10, -5, 3], [18, -8, -4, -8, -1], [-4, -21, 14, 0, -3], [-17, 8, -8, 0, 4], [15, -8, -2, -5, -8], [-21, 16, -12, -7, 7], [5, -6, 8, 6, 9], [12, 8, 4, -2, -1], [-2, -6, 3, -6, 7], [-21, -6, -2, 1, -1], [-1, -3, -3, 3, 0], [-8, 16, -20, -9, 10], [10, 16, -14, 4, 3], [13, 2, -4, -4, -3], [10, 2, 6, 2, -9], [8, 10, -10, 8, -6], [5, -20, 4, -3, -7], [-10, 10, -4, 8, 0], [23, 0, -2, -3, 7], [24, -5, 8, -4, -14], [-11, 4, 2, 1, 3], [1, 2, -2, 6, -3], [-2, -1, -14, 2, 3], [-7, -20, 10, -3, -11], [-10, 2, -16, -6, 9], [32, -7, 13, 6, -7], [-14, -16, -2, 2, -6], [-7, -18, 5, 1, -7], [-24, -14, 1, -4, -1], [-11, -3, -5, 5, -3], [11, 17, -11, -1, 0], [5, -16, 11, 7, 2], [7, 4, -2, 3, 4], [14, -2, 18, 0, -9], [0, -24, 4, -5, -8], [26, 10, 0, -2, 16], [-28, 5, 0, -4, -8], [25, -9, -7, -5, -1], [-3, 6, -14, 3, 0], [36, -12, 11, 2, -6], [12, -3, 1, -2, 9], [-7, 2, 2, 1, 0], [-6, 0, 3, 0, -16], [7, -10, 10, 3, 4], [8, -5, 17, -6, 4], [4, -9, -2, -12, 1], [16, 0, 0, 2, 22], [-1, 3, -6, -11, 7], [-26, -14, 2, -4, -2], [19, 10, 6, -6, -3], [-36, -8, 0, 2, -6], [26, -26, 18, 8, -6], [-23, -4, -6, -3, -2], [-15, -8, 0, -4, -8], [20, -10, 16, 2, -12], [7, -14, 6, 7, 8], [-17, 14, -6, 1, -1], [9, -14, -2, 7, 1], [-3, 5, -10, -1, 1], [1, -5, 6, -1, 7], [12, 2, 18, -4, 1], [-18, 31, -8, 2, 10], [-6, 12, -13, 0, 16], [-29, 1, -9, 1, 13], [35, 2, 8, 0, 3], [5, -30, -1, 1, 1], [10, -19, 16, -2, -4], [-8, -6, -2, 0, 0], [20, -10, 2, 10, 1], [9, -6, -6, 1, -6], [16, -8, -4, 10, -2], [14, 2, -2, -4, -12], [5, 34, -18, 3, 12], [-2, 2, 6, -2, -14], [-16, 6, -2, 5, 9], [-21, -2, 1, -5, 9], [28, 0, -6, 12, 2], [-26, 20, -2, 4, 9], [28, 5, 9, -6, 9], [12, 24, -3, 2, 2], [10, 6, 14, -6, 6], [4, 24, -12, 4, 9], [9, -22, 8, -6, -3], [-30, 0, 8, 4, -4], [18, -32, 4, 4, -4], [-10, 12, -12, 6, 15], [-14, -8, 2, -2, 2], [-27, -6, -8, 7, 7], [4, 4, 8, -10, 9], [18, -17, -2, -10, -5], [-18, 11, 3, 4, 9], [2, -6, 8, 14, -14], [-8, 2, 12, 8, -12], [19, -10, -2, -9, -4], [-14, -6, -7, -2, -7], [3, -7, -9, -13, 11], [-38, 8, -8, -5, 0], [40, 2, 6, 7, -9], [8, -6, 2, 4, -4], [12, 10, -10, -10, 12], [22, -7, 7, 0, 2], [6, 28, -14, 2, 10], [27, -16, 6, 7, -4], [12, -18, 8, 6, 2], [-7, -2, -2, 4, 7], [-26, 4, 16, 6, 4], [-27, -2, 4, 3, 1], [17, -16, 4, 9, 3], [11, 10, 10, 4, 1], [-9, -12, -4, 2, -2], [15, 20, -2, 7, -3], [18, -10, 12, 4, -15], [-11, -8, 8, -14, -6], [-10, -6, 14, 14, -10], [11, 21, -9, -7, 13], [-2, 4, 0, 4, -10], [-35, 0, 4, -5, -2], [-8, -5, 7, 6, 11], [10, -17, 17, 0, -12], [16, 9, -1, -2, -18], [-13, -12, 12, 5, -17], [28, 8, -4, -2, -12], [-17, 24, -14, 5, 12], [-16, 12, 5, -2, -14], [18, -16, 24, -4, -10], [41, -17, 16, 15, -6], [11, 10, -2, 5, 17], [29, 2, 20, -5, -13], [38, -8, 2, -8, -2], [-19, 8, -14, 3, 16], [21, 14, -15, 5, -1], [-47, 14, 0, -1, -3], [-2, -6, 4, 4, -8], [-12, 0, -15, 10, -8], [4, 12, 18, -4, 8], [0, 2, -14, 10, 10], [-1, -7, 15, 3, -5], [15, 18, -5, 3, 15], [8, 8, 10, 4, 18], [-19, 7, -20, 5, 7], [-8, -2, -8, -8, 4], [23, 8, 0, -1, 9], [-8, 15, -10, -8, 1], [-13, -6, 2, 0, -5], [10, 18, -14, 6, 16], [-31, 22, -2, 3, 11], [-28, 12, -18, 12, 12], [13, 3, -11, -7, -5], [7, -4, 0, 5, 14], [-5, -8, 12, -5, -3], [8, 16, -29, -6, 2], [3, 16, 9, 1, 6], [-4, -4, -1, 2, -14], [9, -17, 25, 5, -9], [-44, 16, -8, -4, 0], [-7, -26, 3, 1, 3], [12, 8, -8, 2, 14], [28, -20, 18, 8, -4], [17, -5, 3, 5, 12], [34, -14, 16, 10, -14], [21, -1, -7, 15, 11], [-32, 4, -6, -10, 4], [15, 24, -10, 13, 0], [16, -14, 12, -6, -20], [-12, 16, 4, 10, -8], [-7, 18, 14, -9, 1], [22, 0, 25, -4, -12], [-8, 0, 28, 3, 8], [-5, -8, 2, -9, 2], [38, 10, -12, 8, -6], [6, 11, -12, 6, -10], [-20, 4, -3, -2, 14], [-15, 8, 2, -13, -12], [-4, -8, -2, -12, -12], [9, 6, 16, -9, 11], [20, 10, -8, 0, -17], [3, 36, -4, -1, 0], [24, 14, -12, -8, 11], [41, -5, 19, 5, -4], [53, -6, 2, -4, -3], [-3, -26, 4, -1, 7], [-18, 18, 7, 10, 3], [-20, 11, 0, 8, 16], [26, 24, -4, 0, -1], [-21, -6, 3, 7, -27], [-8, 24, -7, -2, 2], [7, 27, -19, -11, 21], [-12, 2, 0, -6, 16], [36, 4, 0, 4, -8], [-20, 5, 4, -8, -14], [-16, 32, -16, 3, 20], [17, -5, 14, 3, 7], [-30, -16, 6, -8, 12], [7, -8, 24, -3, 12], [18, 11, -9, 0, -15], [-8, 16, 3, -14, 6], [45, -6, 4, -7, -6], [-6, 8, -30, -10, 4], [-9, 28, -2, 7, 13], [27, -3, -3, 15, 4], [-12, 10, -4, 2, 10], [11, -6, 4, 15, 3], [-15, -18, 10, -10, -11], [13, -23, 16, 1, -9], [-22, -16, 6, -12, -13], [22, -15, 3, -4, -6], [-26, 15, 1, -16, 0], [51, 2, 8, -2, -1], [-12, -20, 30, -4, 4], [16, -18, -2, -18, -8], [18, -30, 22, -4, -10], [46, -10, 22, -3, -15], [21, 10, -13, 1, 9], [-24, 8, -8, 12, 8], [-36, -2, 2, 10, -8], [0, 18, -20, 12, 8], [23, -4, 8, -11, -10], [9, -20, 14, 17, -13], [-14, -22, 0, -6, 5], [24, 24, 0, -6, 14], [22, -13, 14, -6, -25], [40, 0, 1, -6, 14], [5, -6, -18, -11, 8], [20, 8, 6, 2, -10], [6, 12, -15, 12, 4], [-52, -3, 7, -10, 0], [26, -20, 22, -8, -14], [-3, 5, 8, -3, 15], [26, 12, 4, 4, 9], [-44, 24, -32, -9, 8], [-40, 0, -21, 2, 18], [-21, 4, 1, -11, -14], [16, 18, -10, 16, 5], [-76, -2, 0, 0, 3], [-17, 22, -8, 9, 13], [22, -5, 7, 12, -11], [9, 18, 2, 11, 1], [-50, 8, -16, -7, 16], [-6, 34, -24, -6, 10], [-23, 14, -26, -5, 18], [6, 10, 2, -6, 14], [28, -12, 24, 12, -6], [2, -4, 8, 9, -4], [42, -12, 12, 9, 12], [8, 10, 9, 0, -17], [-1, 20, -7, 13, 26], [22, 4, -4, -2, 5], [-9, -8, -8, 12, -8], [32, -5, 4, 4, -2], [-7, -9, 1, -3, -19]], 'char_orbit_index': 1, 'field_poly': [12, 18, -3, -9, 0, 1], 'hecke_orbit_code': 139611588482044408, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [4, 0, 1, 0, 0], [2, 5, 0, 1, 0], [21, 1, 7, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-4, 0, 1, 0, 0], [-2, -5, 0, 1, 0], [9, 4, -7, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'id': 145842, 'label': '4600.2.a.bf', 'level': 4600, 'maxp': 2999, 'weight': 2}