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], [-1, 1, -1, 1, 0], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 1, 1, 1, 1], [0, 0, 0, 0, 0], [-1, -1, 0, 1, 0], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 1], [0, 0, 0, 0, 0], [2, 0, 1, 1, 1], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2, 1, -2, 1, 1], [0, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [4, 1, 0, -1, 1], [0, 0, 0, 0, 0], [2, -1, 2, -2, -1], [0, 0, 0, 0, 0], [3, 3, -1, 2, 1], [0, 0, 0, 0, 0], [-3, 1, 0, -1, -2], [0, 0, 0, 0, 0], [3, 2, 1, 2, -1], [0, 0, 0, 0, 0], [-6, -1, -2, -1, -1], [0, 0, 0, 0, 0], [1, -1, 1, -1, 0], [0, 0, 0, 0, 0], [0, 1, 0, 3, 1], [0, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 0], [-3, 2, -2, 1, 0], [0, 0, 0, 0, 0], [-6, 0, -4, 1, -1], [0, 0, 0, 0, 0], [2, 3, 1, -2, 0], [0, 0, 0, 0, 0], [5, 1, 0, 3, 2], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 1, -1, -3], [0, 0, 0, 0, 0], [1, 0, 0, -4, -3], [0, 0, 0, 0, 0], [3, 0, 2, 2, 1], [0, 0, 0, 0, 0], [-2, 0, -4, 0, -2], [0, 0, 0, 0, 0], [1, 2, -2, -1, 0], [0, 0, 0, 0, 0], [-1, -1, -1, -1, -1], [0, 0, 0, 0, 0], [2, -1, 2, -3, 1], [0, 0, 0, 0, 0], [2, 4, 1, 2, -2], [0, 0, 0, 0, 0], [7, 6, 2, 2, 1], [0, 0, 0, 0, 0], [2, -3, 0, 1, 1], [0, 0, 0, 0, 0], [-3, -2, -2, -3, 0], [0, 0, 0, 0, 0], [-1, -1, -1, -2, -1], [0, 0, 0, 0, 0], [1, 1, 0, -1, 0], [0, 0, 0, 0, 0], [7, -1, 0, -1, 0], [0, 0, 0, 0, 0], [6, 6, -1, 1, 0], [0, 0, 0, 0, 0], [5, 4, 2, -2, -1], [0, 0, 0, 0, 0], [1, -1, 1, -1, 0], [0, 0, 0, 0, 0], [4, -7, 2, -1, 1], [0, 0, 0, 0, 0], [-3, 5, -4, 3, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, -1], [0, 0, 0, 0, 0], [3, 6, -1, 1, 2], [0, 0, 0, 0, 0], [11, -3, 4, -5, 0], [0, 0, 0, 0, 0], [-3, -1, 1, 3, -2], [0, 0, 0, 0, 0], [0, -9, 2, -5, -1], [0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-1, 1, -1, 1, 0], [-1, 0, 0, 0, 0], [-1, -1, 0, 1, 0], [-1, 0, 0, 0, 1], [-1, 0, 0, 0, 0], [-2, 1, -2, 1, 1], [4, 1, 0, -1, 1], [-3, 1, 0, -1, -2], [3, 2, 1, 2, -1], [0, 1, 0, 3, 1], [-3, 2, -2, 1, 0], [-6, 0, -4, 1, -1], [5, 1, 0, 3, 2], [0, 1, 1, -1, -3], [-2, 0, -4, 0, -2], [1, 2, -2, -1, 0], [2, 4, 1, 2, -2], [2, -3, 0, 1, 1], [-3, -2, -2, -3, 0], [7, -1, 0, -1, 0], [5, 4, 2, -2, -1], [-3, 5, -4, 3, 0], [-3, -1, 1, 3, -2], [-4, -5, 0, -1, 3], [3, 0, -2, -2, -3], [5, -2, 0, 0, -1], [2, -4, -2, -6, 0], [1, 1, -4, 1, 2], [4, -2, -3, 0, -2], [4, 2, 4, 0, 2], [1, -7, -2, 2, 3], [-5, 0, -3, 0, 3], [5, 1, 4, 0, 1], [6, -4, 0, -1, 5], [-5, 7, 0, 7, -2], [-3, -4, 2, 4, 3], [8, -5, 0, -6, 0], [-1, 0, -4, 3, -2], [-4, -4, 0, -3, 1], [-6, 0, -4, 0, 2], [0, -4, 3, -4, -2], [5, -4, 2, 2, -3], [1, -2, 2, 4, 1], [10, 1, 2, 0, -4], [-4, -4, 6, 0, 2], [0, 7, -2, 3, -3], [5, -8, -1, -8, 1], [3, -3, -6, 3, 2], [8, -1, 4, 1, 5], [0, 0, -6, 5, 1], [1, -3, -3, 1, 4], [2, 3, 6, -5, -1], [-4, -1, -2, -1, -1], [-2, 4, -10, 2, -4], [-4, 0, 0, 2, 2], [2, -1, -6, 5, 1], [0, -5, -4, -9, -3], [-2, 3, -3, -5, -1], [1, -8, 7, -6, 3], [0, -9, 6, -5, 3], [-13, 4, 0, 8, -1], [-1, 10, -9, 6, 3], [-1, 1, -1, 5, 2], [0, -5, 2, -3, -5], [-8, -4, -7, 4, -2], [-12, 6, -6, 4, -2], [-6, 0, -4, -4, -4], [7, 6, 4, 4, 1], [5, 1, 6, -5, 0], [6, 0, -3, -6, -2], [-2, 9, -6, 8, 0], [9, -3, 0, 8, 1], [-5, -1, -4, -7, -4], [1, -7, 2, 3, 2], [12, -3, -1, -1, 1], [-3, -5, -3, 7, 0], [4, -5, 0, -3, -7], [8, 0, 10, -4, -6], [11, 2, 9, -2, -3], [3, 3, 10, 0, 3], [13, 6, 10, -4, -3], [-11, -1, -10, -1, 4], [4, 1, -6, 4, 2], [10, 2, -4, 6, 8], [-9, -4, -4, 4, -3], [-10, -3, -7, -1, 3], [-17, 3, -2, 3, -2], [-20, -4, -10, -1, 7], [15, -1, 2, -1, -4], [4, -7, 4, -4, 6], [7, 6, 2, -4, -9], [10, -6, 1, -2, 2], [7, -4, 4, -4, -3], [21, 2, 7, 2, 1], [5, 2, -2, 4, -1], [13, -8, 12, -3, -4], [2, -1, 10, 5, 9], [6, 3, -4, -5, -5], [-11, 11, -2, 7, -4], [-6, -14, -2, 6, 6], [-9, 11, 2, 13, -2], [-7, 1, 6, -2, -5], [-8, 13, -6, 3, 7], [-1, 6, 6, 0, 1], [21, 3, -2, -1, 2], [10, 3, 8, 7, 5], [-4, 4, 8, -7, -3], [-10, 12, -2, 2, 2], [5, -8, 5, -6, 5], [-6, 3, -7, 13, -3], [11, 3, 2, 15, 2], [-8, 0, 6, -4, -6], [0, 0, 7, -2, 0], [19, 10, -6, 2, -1], [-14, -3, -4, 2, 4], [5, 5, -2, 3, 6], [22, 0, -2, 2, -4], [-14, -4, 3, 4, 0], [-10, -1, 2, 5, -1], [5, -9, -2, -7, -6], [26, -10, 8, -8, 6], [9, -4, 14, -4, -5], [-2, -5, 16, -6, 4], [-12, 6, 2, -8, -6], [-7, 2, -12, 6, 11], [4, -5, -4, 8, -2], [1, -4, 4, 12, 5], [11, 7, -2, -5, 2], [8, -4, 2, -1, -5], [24, -2, -6, -2, -2], [-6, -1, 12, 3, -1], [-3, -13, 10, -18, -1], [-16, 8, -4, 10, -4], [7, 5, 12, 1, 4], [3, -9, 12, -3, -4], [-8, -8, 4, -14, -4], [-5, 8, -6, 0, 9], [-1, -10, -4, 6, 11], [-14, -1, 2, 0, 2], [4, 5, 4, -1, 1], [-10, -8, 2, -16, -2], [13, -2, 0, -14, 5], [-19, 10, -4, 2, -7], [30, -10, 2, -6, 8], [-8, -2, -2, 4, 0], [-1, -17, -3, -1, 12], [-17, -7, 4, -5, -4], [-24, 0, -3, -2, -12], [-1, 4, -18, -2, -7], [-23, 1, 5, -9, -10], [-12, 6, -3, 6, 8], [-5, 10, -13, 8, -3], [20, -2, -8, -2, 0], [10, -1, -2, -7, -3], [10, 12, 10, -7, -9], [-13, 1, 3, -9, 0], [-2, 4, 10, 2, 6], [-25, 4, 0, 5, -4], [-11, 7, -4, -3, -2], [2, 15, -17, 13, -3], [-14, 10, -4, 9, -9], [-3, -17, -2, -3, 4], [22, -9, -9, -1, -5], [17, 4, 9, 6, 1], [6, -4, 2, 2, 0], [-1, -6, -2, -3, 4], [18, 4, 2, -10, -2], [15, -4, 16, -13, 2], [-14, -10, 0, 12, -6], [16, -14, 18, -12, -2], [-8, 20, -16, 14, 6], [20, -9, -3, -5, -7], [-37, 8, -4, 6, -7], [1, -1, 3, -7, 8], [20, -4, 14, -4, -10], [1, -11, -4, 5, 4], [9, -12, 12, -2, -9], [-3, -2, -4, -4, -13], [4, -18, -4, -10, 6], [-8, 9, -14, 8, 8], [-11, 1, 10, -1, 6], [-16, -3, -18, -7, -3], [28, 6, -5, 4, -2], [-2, 11, -12, 9, 15], [31, -2, 6, 0, -5], [-18, 0, -6, 0, 6], [31, -7, 14, -7, 0], [2, -8, 4, 8, 2], [-9, 4, 6, 3, 4], [8, 1, 10, -9, -13], [-12, -6, 2, 0, -12], [35, -10, 2, 0, 1], [43, -4, 12, -6, 7], [21, -5, 13, 1, -8], [7, -14, -12, 8, 1], [9, 1, 8, -7, -8], [-1, -16, 12, -7, 6], [10, -15, 4, -5, 7], [-7, 2, 0, 10, -5], [-3, 20, -1, 4, -1], [9, -6, 2, -18, -3], [-23, 15, -12, 9, 2], [19, -7, -2, -3, -6], [-8, -11, 10, -5, -1], [10, -1, 16, 5, -3], [22, 4, -2, -9, 1], [-8, 5, -14, -1, 3], [-10, 4, -10, -2, 4], [-5, 4, 10, 20, 5], [-4, 14, -8, 14, 4], [9, -1, -16, 1, 0], [28, -12, -2, -8, 4], [14, -7, -8, 20, 4], [-19, -10, 8, 5, -8], [-28, -10, 12, -4, 4], [16, -9, 0, 1, 5], [-6, 8, -2, -4, -6], [-4, -1, -1, -9, 1], [-18, 19, -13, 11, 3], [26, 1, 0, -2, 2], [-5, 15, -12, 4, 7], [2, 7, -16, 1, 1], [-2, 2, -8, 16, 2], [-24, 5, -9, 13, -1], [-6, 4, -2, 0, 4], [10, 4, 2, 4, 14], [6, -13, 10, -9, -1], [32, 14, -8, 0, -6], [-3, 1, 0, -10, -5], [20, -10, 2, -2, -8], [-16, -6, 10, 0, 8], [17, -1, 16, 2, -9], [11, -8, 20, -10, 1], [-5, 5, 0, 15, 12], [-6, -12, -18, 0, 0], [21, 4, 10, 10, -1], [5, 0, 6, -14, 1], [-5, 4, -18, 10, -7], [3, -13, -16, -3, -4], [8, 12, 10, -2, -10], [-8, 2, -2, -14, -6], [-7, -1, -2, -6, -9], [-13, 11, 11, 13, 14], [35, 10, -9, -6, 3], [12, -19, 10, -22, 4], [-12, -9, 6, 2, 10], [-20, -22, -5, 4, 10], [16, -8, 14, -15, 5], [15, -5, 18, -10, -7], [-9, -5, -5, -1, 4], [0, 16, -11, 4, -6], [9, 7, -7, -7, -4], [-4, 6, 8, -18, -12], [0, 10, -8, 7, 7], [8, -4, 2, 4, 4], [-3, -10, -5, -22, -5], [-23, -4, -12, 1, -14], [1, -3, -12, 9, -2], [-19, 20, 4, -2, -13], [0, 6, -11, 18, -4], [-27, -3, 1, -5, 0], [11, 19, 17, 3, -2], [5, 24, -4, -3, -12], [18, -23, 4, -21, -1], [22, -5, 23, -3, 1], [1, -3, 24, -3, 10], [10, -11, -12, -5, -3], [-21, 13, -16, 4, 11], [-1, 1, -15, 9, 12], [-14, 2, 8, -24, -10], [-9, 12, -4, 2, -9], [22, -20, 15, -8, -8], [-10, 3, 8, -3, -13], [3, 0, -14, 12, -5], [28, 4, 2, 17, 5], [14, -5, 1, -5, 11], [13, 29, -8, 6, -13], [8, -11, 12, 1, -5], [-40, 14, -6, 8, 0], [3, 5, -6, 15, 0], [6, 4, -16, 2, -8], [8, 10, -4, -16, -10], [9, 6, -9, -4, -11], [-6, 6, 10, -11, 7], [6, 3, 0, -17, 5], [-12, 8, -8, 10, 2], [21, -21, 10, -5, 10], [-12, 9, 16, -21, -1], [26, 11, -12, 9, 1], [7, -16, 21, 0, -5], [0, 10, -2, 16, 10], [19, 12, -5, -6, -3], [-17, 4, -10, 12, 19], [7, -12, 14, -23, 0], [-32, -6, -14, 8, 0], [-4, -4, 6, -4, 14], [5, -8, 3, 10, 19], [31, -7, -8, -7, 2], [-26, 4, 2, 2, 2], [8, 8, -2, 4, 10], [27, -15, 14, -11, -2], [0, -3, -10, 3, 3], [3, -2, 8, 18, 19], [-17, -17, 6, -15, 4], [8, 16, -21, 16, 2], [31, -2, 10, -1, 14], [42, 14, 5, 10, -2], [5, 9, 4, 4, 5], [-1, 0, -11, -10, -9], [5, -4, 10, -8, 9], [-8, 23, -6, 13, -7], [16, -8, 14, -1, -5], [18, 20, 4, -9, 1], [20, 11, -16, 5, 1], [39, 1, 4, -3, 2], [7, 10, 8, -12, 7], [11, 2, 2, -7, -6], [-6, 14, -22, 0, -4], [26, -1, 0, -4, 6], [-5, 25, -4, 9, 0], [5, 22, 0, 26, 1], [12, -10, 7, -10, 8], [13, -22, 4, -8, -5], [18, 16, -8, -10, -10], [-19, 25, -6, 17, 10], [-3, 2, 15, 2, 3], [-16, -4, 2, 2, 10], [-10, -10, -10, -18, 0], [29, -13, 0, 3, -10], [-3, -14, 0, 8, -11], [22, -5, -10, 8, 4], [3, 8, 4, -14, -23], [-35, 17, -16, 9, 6], [28, -14, -4, 6, -4], [-13, 1, 8, -18, -7], [-17, 8, 0, 5, 18], [-31, 2, -24, 13, 0], [20, 8, 22, 2, 10], [-7, -1, 10, 2, -13], [-16, 21, -31, 15, 5], [-6, -8, 2, -10, -4], [16, 0, 3, 2, 12], [13, 15, -4, -14, 11], [12, 9, -12, -3, 9], [39, 9, 15, -9, 2], [0, -14, -1, -12, -18], [-27, 6, -9, 12, -9], [-23, 12, 4, 11, 12], [8, -15, -14, -13, -7], [29, 0, 10, -6, 13], [-11, 23, -2, 24, -7], [23, 10, -7, -20, -3], [-4, -7, -15, -7, -9], [-1, -13, 0, -15, -16], [6, 13, 8, 13, -3], [28, -15, -6, 0, 8], [-39, 5, -8, 15, -4], [-28, -4, -32, 10, -10], [-29, -3, 2, -13, -8], [-39, -9, -21, -3, -4], [0, -18, -17, -16, -2], [-12, -14, 8, 2, -16], [15, 4, 10, 4, 3], [28, -15, 25, -11, 11], [-15, -8, -18, -11, -10], [-10, -18, 12, 11, 21], [17, 8, -16, 24, 3], [20, 4, 0, 23, -1], [40, -7, -4, 12, 4], [19, 7, -16, 23, 12], [17, -27, -4, 6, -1], [-29, -8, -14, -10, 13], [-16, -5, -8, -1, -11], [-10, -13, -2, -4, -6], [-9, -10, 4, 0, 11], [7, -27, 14, -15, 0], [-26, 22, -10, 28, -12], [23, -12, 18, -8, 9], [21, -6, 32, -13, 8], [32, -20, 8, -10, -8], [17, -8, -2, -12, -3], [4, -2, 2, -22, 4], [-38, -11, 16, -8, -2], [8, 16, -20, -6, -14], [4, -4, 16, 12, -8], [44, 6, 18, -18, 8], [2, 25, -12, 17, -1], [-28, 3, -4, 11, -3], [20, -6, 18, -12, -2], [-20, 14, 14, 0, 4], [8, 4, 21, 2, 8], [5, -36, -4, -24, 9], [20, 12, 19, -6, 0], [-21, 12, 10, 16, 17], [53, 7, -4, 11, 6], [-50, 5, -28, 11, -11], [-40, 11, -10, -1, -21], [-28, -3, -7, -3, -9], [24, 14, -18, 2, 10], [-32, 9, -13, 7, -11], [16, 20, -6, -13, -1], [-23, 36, 2, 23, -10], [2, -4, 2, 20, 16], [-16, 2, -4, 0, 4], [2, -13, 5, -27, -3], [11, -19, -2, 4, 15], [-6, 10, 6, -4, 6], [-30, 3, -6, 16, -6], [-27, 31, -5, 23, -6], [-10, -11, -7, -29, -5], [-2, 8, -1, 20, 12], [-20, 0, 26, 2, 8], [11, -25, -12, 2, 5], [21, -20, -2, -17, 8], [-3, -4, -18, -2, 3], [3, 14, 1, 18, -1], [-37, 3, -9, -19, 2], [41, -7, 8, 5, 24], [9, -11, 8, -8, -7], [27, -2, 2, 15, 22], [-32, -27, 6, 9, 3], [-36, 31, 10, 9, 11], [8, 2, 8, 0, 6], [-17, -13, 12, -5, 6], [-15, -2, -8, -30, -3], [59, 1, 18, -11, -4], [-66, -2, 8, 4, 6], [9, -16, 23, 4, -1]], 'char_orbit_index': 1, 'field_poly': [2, 3, -6, -9, 0, 1], 'hecke_orbit_code': 18014398543040224, '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, 1, 1, 1, 1], [3, 9, -1, 2, 1], [33, 15, 8, 10, 9]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 2, -8, -1, 1], [5, -4, -17, -1, 2], [-11, 1, 26, 2, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'id': 134748, 'label': '3808.2.a.e', 'level': 3808, 'maxp': 2999, 'weight': 2}