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], [0, 0, 0, -1, -1], [0, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 0], [-1, 0, 1, -1, 0], [0, 0, 0, 0, 0], [1, -1, 0, 0, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 1, -1, 0, 1], [0, 0, 0, 0, 0], [-1, 0, -2, 0, -2], [0, 0, 0, 0, 0], [1, 0, 1, 1, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, -1, 1, 1, 0], [0, 0, 0, 0, 0], [1, -1, -1, 2, 1], [0, 0, 0, 0, 0], [-4, -1, 0, 2, 0], [0, 0, 0, 0, 0], [-2, -1, -2, 2, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, -1, -3, 0, -1], [0, 0, 0, 0, 0], [-4, 0, -2, 1, 1], [0, 0, 0, 0, 0], [-1, -1, -1, 0, 1], [0, 0, 0, 0, 0], [-1, -1, 1, 2, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, -2, 0, 2, 0], [0, 0, 0, 0, 0], [2, 1, -2, -2, -1], [0, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [-4, -1, -1, 0, -1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [5, -3, -1, 0, 1], [0, 0, 0, 0, 0], [-3, 1, 1, 2, -1], [0, 0, 0, 0, 0], [0, -2, 0, 0, 0], [0, 0, 0, 0, 0], [2, -1, 0, -1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2, 0, 2, 0, 4], [0, 0, 0, 0, 0], [0, 1, 2, 2, 3], [0, 0, 0, 0, 0], [-4, 0, -4, -1, -3], [0, 0, 0, 0, 0], [-5, 3, 3, 2, 3], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [7, -2, 1, 0, 2], [0, 0, 0, 0, 0], [-9, 3, -1, -1, -2], [0, 0, 0, 0, 0], [-7, 1, 0, 0, 1], [0, 0, 0, 0, 0], [-2, 0, 0, -2, -2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 1, 3, -2, 3], [0, 0, 0, 0, 0], [-3, 5, -1, -2, -1], [0, 0, 0, 0, 0], [-3, -2, 5, 0, 1], [0, 0, 0, 0, 0], [-2, -2, 5, -2, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [4, 0, 2, 2, 2], [0, 0, 0, 0, 0], [3, -1, 1, -2, 1], [0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, -1, -1], [-1, 0, 1, -1, 0], [1, -1, 0, 0, 1], [-1, 0, 0, 0, 0], [-1, 1, -1, 0, 1], [1, 0, 1, 1, 2], [1, -1, -1, 2, 1], [-4, -1, 0, 2, 0], [1, -1, -3, 0, -1], [-1, -1, -1, 0, 1], [-1, -1, 1, 2, -1], [0, -2, 0, 2, 0], [-4, -1, -1, 0, -1], [-3, 1, 1, 2, -1], [0, -2, 0, 0, 0], [-2, 0, 2, 0, 4], [-4, 0, -4, -1, -3], [-5, 3, 3, 2, 3], [-9, 3, -1, -1, -2], [-2, 0, 0, -2, -2], [-3, 5, -1, -2, -1], [4, 0, 2, 2, 2], [-1, 1, 2, -2, -1], [2, -4, -4, 2, 0], [5, -3, -3, -1, -4], [3, -1, 1, 2, -3], [-2, 2, -4, -4, 0], [1, -5, 1, 2, 1], [3, -1, -1, 1, 2], [1, -1, -2, 2, -3], [1, 2, 3, -2, -1], [3, 2, -6, -2, -2], [-10, -2, 4, 0, 2], [4, 1, 1, -2, -3], [-3, 4, 3, -2, -1], [7, -4, -7, -1, -4], [-5, -3, -1, -2, -1], [-3, 3, -1, 0, -3], [-3, 1, -1, 0, -3], [-7, 3, 5, 2, 3], [3, 5, -1, 2, 1], [2, 0, 0, 2, -4], [-9, 0, 7, -1, 2], [-7, 1, -3, 3, 2], [-8, 2, -6, -2, -2], [5, 4, 3, -2, 3], [0, -6, -3, -2, -6], [1, 3, 3, -2, -3], [4, -2, 2, 0, 0], [-2, -2, -4, -2, -6], [6, -6, -4, 0, -4], [10, 4, -3, -6, 0], [-6, 6, 2, 0, -2], [-4, -4, 2, 0, 4], [-7, -1, 3, -4, 5], [-11, 3, 5, -4, -3], [-5, 6, 6, -2, -2], [-5, 4, 5, -1, 4], [0, -6, 2, 6, 2], [4, 6, -2, 0, -4], [-3, -4, -5, 4, -5], [9, 1, 7, 0, 1], [-9, 3, 1, 0, 3], [-4, 0, -4, -2, -6], [-4, 2, -2, 4, 0], [8, 0, 4, -1, 5], [-10, 1, 5, -4, -3], [-1, 4, -4, -2, 0], [3, -1, -3, 4, 5], [-1, 0, -7, -2, 1], [14, 4, 1, -4, 4], [1, -3, -7, 3, 4], [-5, -1, 7, -4, -1], [-7, -7, -5, 6, 3], [12, -4, -6, 2, -2], [-5, -9, -1, 4, -3], [-16, 7, 3, 2, -1], [17, -2, 1, 1, 4], [-7, 7, 8, 2, 1], [4, -7, 0, 2, 4], [11, 3, 5, 0, -3], [-6, -6, -2, -1, 3], [9, -3, 7, 0, 7], [7, 9, 5, -2, 7], [-12, -2, -5, 0, -2], [-6, 0, 4, 0, 0], [1, -3, 7, 0, 9], [8, 2, 8, -6, -4], [9, 2, 5, 1, 0], [-3, 0, 3, 5, 0], [-8, 2, 2, -10, -4], [-4, -9, 4, 4, 0], [13, 4, 7, 3, 8], [5, -4, 8, 0, 0], [-6, -6, 4, -6, -2], [-12, -8, -6, 4, 2], [3, -1, 1, -4, -3], [17, 1, -3, 9, 4], [15, 5, 6, -2, -1], [-23, 7, 1, 0, 3], [20, -6, -10, 2, 2], [-14, 5, -2, -2, -2], [3, -1, 1, 2, 5], [10, 2, 0, 8, 4], [-28, 9, 9, 2, 1], [-17, 9, 5, 4, 1], [8, 2, -2, -2, 4], [8, -5, 8, 6, 4], [1, 4, 0, -2, 0], [-5, 1, 9, -6, 7], [9, 6, 3, -1, 6], [-13, 3, 9, -2, 3], [-3, -9, -7, 0, -5], [1, 5, -3, 1, 4], [-15, 11, 1, -2, -3], [-3, -11, -3, 8, 5], [1, 5, 7, -4, 3], [5, -10, 6, 4, 2], [4, 4, -8, -2, 2], [8, -2, 0, -2, 2], [7, -1, -5, -7, -2], [-8, 4, -12, -1, -7], [1, 5, 7, 2, -1], [4, 0, 0, -4, 2], [-15, 0, 7, 0, -1], [-17, 7, -13, -4, -5], [-3, -6, -6, -2, -6], [0, -8, 0, -2, 2], [20, -1, 4, 6, 8], [-31, -2, 3, 3, -2], [-3, 1, 3, 6, 3], [-14, 4, -5, -6, -8], [0, 10, 1, 6, 10], [9, 3, -6, 0, -7], [5, 6, 7, -8, -9], [-9, 0, 0, 0, 4], [6, -6, 2, -6, -12], [15, -8, 1, 4, 9], [12, 0, 4, 6, 6], [-5, 7, 7, 5, -2], [-13, -8, -1, 7, 6], [6, 7, 3, -6, 7], [-11, -10, 3, -4, 3], [-25, -1, 13, 4, 3], [-5, -5, -1, 0, -9], [2, 6, -12, -8, -2], [-12, -4, -2, -8, -10], [-1, 1, 11, 2, 9], [9, 5, 7, 4, 13], [-15, 7, 11, -8, -3], [4, 11, 0, -4, 8], [-11, -10, -1, -5, -6], [18, -14, -10, -1, 1], [-11, 5, -3, 4, -5], [13, 1, 9, 6, 13], [-20, 9, -3, -10, -7], [-13, -11, -3, 4, -3], [1, 12, -5, -5, -4], [-14, -8, 7, -6, 4], [-5, -7, 9, -2, 1], [10, -4, -10, 2, -8], [12, -11, 1, 2, -11], [30, 10, -2, -1, -1], [-21, 2, -7, 0, 5], [-16, -14, -4, 2, -6], [-1, -11, -3, 2, -5], [5, 1, 9, 10, 11], [-6, 8, -2, 4, 4], [-1, 3, 1, 6, 9], [-16, 13, 16, 4, 12], [16, -2, -7, 10, -2], [-23, 5, 5, -8, -7], [-3, -1, -1, -8, -3], [9, -8, 3, -5, 0], [2, -12, -2, 8, 12], [14, -8, 0, 0, 8], [-4, -10, -3, 4, 2], [-10, -8, -10, 0, 0], [5, 6, 11, 2, -1], [27, -3, -5, 4, 1], [11, -6, 2, 2, 10], [13, 3, -15, -2, -5], [4, 18, -5, -8, 2], [10, -6, -18, 2, -6], [14, 2, 16, 2, 6], [19, 15, -5, 8, 3], [11, -8, 3, 7, -2], [-7, -5, 5, -4, 5], [-15, -10, 5, 1, 4], [-12, -2, 6, -2, -2], [3, 5, -8, -8, -9], [1, 2, -5, -4, -1], [1, -3, -9, 4, -13], [-1, -13, 1, -2, 1], [30, 4, -4, -6, -6], [-24, -4, 2, -2, -4], [-3, -1, -13, 4, 5], [-13, -1, -1, 6, -1], [-25, 6, -1, 1, -8], [-26, 4, -12, -2, -12], [-11, -1, 8, 6, 9], [31, 7, -5, 0, -1], [5, -5, -2, 4, 1], [-25, 15, -1, 4, 15], [-31, 11, 3, 6, 13], [-10, 8, 10, -6, 4], [19, -1, 1, 4, -9], [11, -7, -15, -2, -5], [13, -15, -9, 4, -5], [-6, 3, 14, -4, -2], [-11, -15, -15, 10, 1], [0, -15, 12, 0, 4], [20, -8, 6, -4, -14], [-31, -3, -1, -8, -7], [3, -12, 0, -6, 0], [-10, 15, 10, 2, -2], [28, -10, 3, 2, -6], [16, 17, 5, -12, 1], [3, -8, -7, 1, 0], [-2, -1, 3, -10, -5], [1, 12, 3, -6, 3], [20, -14, -10, -2, -10], [-9, -1, -7, 14, 5], [8, -14, 0, -2, -10], [15, -10, -11, 1, 6], [-7, 15, 1, -8, -7], [7, -1, 7, -1, -4], [-13, 24, 4, -6, -8], [10, -13, 6, 10, 10], [5, 5, -7, 2, 9], [3, 9, -2, 0, 3], [3, -1, -1, -6, -5], [-33, -1, -5, -2, -1], [-17, -11, -1, -8, 3], [4, 16, 6, -6, 6], [16, 17, -4, 2, -8], [-3, 3, 9, -6, 11], [11, 15, -1, -7, 4], [1, 11, 9, -2, -11], [-11, 1, -5, 2, -5], [-3, 17, 3, 2, 7], [14, 8, 8, -12, 0], [-5, -8, -15, 3, -8], [1, -6, 1, 3, 0], [25, 2, -7, -7, 0], [17, 11, 13, 2, 13], [0, -6, 6, 12, 0], [-28, 1, -3, -10, -7], [-7, 9, 5, 8, 21], [2, 6, 6, -4, 8], [-6, -14, 2, 6, 0], [-26, 12, 11, 10, 8], [33, 5, -1, -14, -1], [2, -2, -2, -10, 8], [-15, 4, -3, 1, -10], [22, -6, -16, 4, -14], [-9, -11, -14, 6, -5], [29, -6, -5, 7, 2], [-11, 1, 17, 0, 9], [-16, 8, 0, -14, -16], [-15, 13, -11, -6, -9], [-10, 6, 20, -10, 12], [-15, 5, 29, -6, 5], [-6, -16, -12, 10, 16], [44, 6, -2, 8, 6], [-13, 8, 5, 11, 8], [12, 10, -2, 14, 14], [-23, 1, -1, -14, -15], [-35, 7, 15, 8, 9], [-8, -2, 10, 4, 10], [-28, -10, -14, 8, -12], [16, -6, -10, -4, -2], [13, 5, 11, -2, -5], [43, -1, 11, 8, 7], [-11, 7, -12, -8, -11], [2, -20, -17, 14, 8], [10, 4, -4, 6, -12], [-1, -19, -3, 6, 1], [-2, 6, -10, -3, -5], [7, 7, 7, 3, -10], [-4, -5, 15, 20, -1], [-41, 2, 3, -11, -8], [-11, 1, -5, 6, 3], [-2, 4, -10, -8, -6], [-36, 24, 8, 0, -6], [-23, 13, 17, 2, -1], [6, 0, 5, -12, -20], [-21, 1, -15, -4, -21], [-1, 26, -1, -3, 4], [29, -7, -5, 6, 3], [2, -10, -6, 9, -1], [24, 16, 8, -18, -6], [-21, 19, -1, -4, 1], [-8, 8, -18, -2, 4], [-1, -5, -15, 4, -15], [10, -6, -6, 1, 7], [-1, 1, -21, 6, 1], [11, -11, -8, -4, -17], [31, -1, -3, -10, -11], [-13, 3, 7, -11, 10], [-16, -8, 0, -5, 3], [-5, -2, -13, 5, 8], [-10, -4, -10, -8, 8], [29, 5, -9, -12, -3], [-10, -14, -8, 8, 2], [-3, -1, -5, 4, 5], [-8, 1, 9, -14, 1], [36, 1, 0, -4, 4], [-26, 10, -2, 12, 16], [12, 20, -16, 4, 0], [22, 4, 6, 14, 8], [-19, 1, -1, -20, -5], [0, -19, 1, -4, -11], [-8, -2, -12, 0, 10], [-1, 4, -19, -11, -4], [9, 11, 25, -10, 7], [-30, 9, 17, 12, 1], [25, 18, 19, -9, 10], [5, 5, -1, -14, -1], [-24, 22, 6, -10, -6], [10, -8, 4, -4, -10], [-12, 4, 24, -4, 14], [-30, 3, -13, -8, -5], [-19, 14, -17, -4, -9], [24, -12, -8, -1, -7], [-4, 4, -4, -11, -7], [12, 2, -14, -8, 2], [-13, 23, 3, -2, 7], [-13, 13, -15, 4, 9], [-30, -18, -2, 5, -1], [6, 12, -6, 6, 6], [19, 0, 11, -9, 6], [8, -21, -8, 14, 12], [-14, -11, 9, -8, 1], [8, -24, 8, 2, 8], [24, 26, 0, -4, -6], [3, 1, 13, 10, -5], [-1, 4, -24, -4, -16], [14, -4, -16, 6, -8], [36, -4, 14, 4, -10], [-31, 3, 9, 16, 9], [-9, 11, 13, 16, 13], [-29, -16, 7, -1, -2], [2, 20, 10, -8, 6], [-11, -1, 3, -14, -9], [3, 7, 7, -1, -16], [-13, -7, 15, -6, -1], [21, -3, 9, 14, 21], [-18, -4, -14, 8, -10], [-16, 1, 9, -8, 5], [21, 0, -21, 8, -1], [-29, -7, 8, -6, 11], [-3, 5, -1, -2, 3], [23, -1, 9, 12, 3], [-29, 0, -19, -8, -19], [5, -13, -13, 0, -5], [-28, 6, 10, 2, -2], [14, 6, 16, 0, 8], [33, 7, -11, 2, 3], [16, -4, 24, -4, -2], [38, -11, 14, 16, 10], [-32, 16, 8, 2, 6], [-12, 6, -18, -2, -6], [40, 0, 6, 16, 8], [0, -8, 16, -8, -8], [19, -1, 5, -6, 5], [-31, 5, -21, 0, -1], [-29, -8, -11, -7, -4], [-12, -11, -12, 14, 8], [-3, 7, -8, -4, -23], [-17, 7, 13, -16, 1], [16, 10, -30, -2, -2], [-1, 8, 5, 0, 21], [-5, -8, 13, 6, -11], [23, 3, -7, 6, 13], [-11, -16, -20, 2, -4], [-3, 10, 6, 0, -18], [-20, 14, 14, 8, -4], [-12, 5, -7, -2, 17], [34, 21, 6, -18, -2], [35, -11, 1, 10, 11], [3, 3, -13, -7, -12], [33, -16, 1, 1, -10], [-33, -25, -11, 18, 1], [-30, -16, 3, -10, 0], [-10, 6, -2, -11, -7], [-17, -11, -11, 12, 15], [-9, -3, -13, 4, 5], [-40, -14, 16, -8, 6], [-9, 23, -3, -2, -9], [-9, -5, -15, 4, 5], [6, -28, 2, 4, 2], [20, 0, 10, 12, 10], [22, -2, 0, -10, -16], [62, -4, -8, 0, 0], [-33, -4, -17, 3, -2], [19, 9, 2, -8, -17], [-23, -1, 23, 12, 5], [-15, -19, 3, 4, -9], [-1, -7, 3, 8, 13], [36, -18, 8, 6, 26], [36, -6, -6, 18, 14], [-13, 20, 23, -1, 2], [56, -6, 1, 6, 10], [-29, 11, 25, 2, 9], [9, -1, -9, 12, -11], [-7, -14, 3, 4, -5], [-31, -23, -7, 8, -9], [1, 17, -13, -4, -1], [35, -9, -7, -10, -9], [31, -2, -17, -13, -8], [-44, 7, 11, -8, -5], [-45, 17, -13, -8, -9], [17, -10, -29, 12, -5], [11, -21, 15, 1, -8], [-10, -4, 0, 0, 22], [-30, 14, 8, 10, 18], [28, 7, 15, 12, 27], [9, 5, -1, 14, 7], [-36, -4, -12, 7, -3], [56, -18, -22, -4, -2], [-33, -13, -11, 8, -9], [14, -28, -16, 0, -12], [21, 10, 19, 8, 19], [30, -4, -4, 16, 4], [16, -6, -8, -12, 12], [-3, 20, 23, 1, 16]], 'char_orbit_index': 1, 'field_poly': [-25, 23, 10, -10, -1, 1], 'hecke_orbit_code': 247697979538938512, '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], [-1, 5, 1, 1, 0], [20, 1, 9, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-4, 0, 1, 0, 0], [5, -5, -1, 1, 0], [16, -1, -9, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'id': 171630, 'label': '6800.2.a.cd', 'level': 6800, 'maxp': 2999, 'weight': 2}