Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-2, 0, 0, -2, -1, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, -1, 4, 0, 0], [0, 0, 0, 0, 0, 0], [0, -2, 2, 0, 0, -1], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [1, -1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [7, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0], [2, -2, 1, -1, -1, 1], [0, 0, 0, 0, 0, 0], [-1, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0], [0, 1, -1, -6, 0, 1], [0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0], [-2, 0, -4, -2, 2, 0], [0, 0, 0, 0, 0, 0], [0, -1, 1, 1, 0, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [-2, 2, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [-4, 0, 1, -4, 2, 0], [0, 0, 0, 0, 0, 0], [-4, 0, 1, -4, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, -2, 2, -1, 0], [0, 0, 0, 0, 0, 0], [0, 2, -2, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, -4, 4, 2, 0, -1], [0, 0, 0, 0, 0, 0], [3, -1, 0, 0, -3, 3], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0], [-7, 0, 2, -7, 1, 0], [0, 0, 0, 0, 0, 0], [0, 1, -1, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-1, 0, -5, -1, 1, 0], [0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [6, -3, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [0, -2, 2, 0, 0, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -3, 0], [0, 0, 0, 0, 0, 0], [4, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, -1, 7, 0, 1], [0, 0, 0, 0, 0, 0], [2, -2, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [8, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, -2, 3, 0, -1], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [5, -6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, -2, -1, 0, 0], [0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, 0, 0, -1, 0, 0], [0, 1, -1, 0, 0, 1], [1, 0, 2, 1, 0, 0], [-2, 0, 0, -2, -1, 0], [0, 1, -1, 4, 0, 0], [0, -2, 2, 0, 0, -1], [1, -1, 0, 0, -1, 1], [7, -1, 0, 0, 1, -1], [2, -2, 1, -1, -1, 1], [0, 1, -1, -6, 0, 1], [-2, 0, -4, -2, 2, 0], [0, -1, 1, 1, 0, 2], [-2, 2, 0, 0, -1, 1], [2, 0, -2, 2, -1, 0], [0, -4, 4, 2, 0, -1], [3, -1, 0, 0, -3, 3], [-7, 0, 2, -7, 1, 0], [-1, 0, -5, -1, 1, 0], [7, 0, 0, 7, 0, 0], [0, -2, 2, 0, 0, 3], [0, 0, 0, 0, -3, 0], [2, -2, 0, 0, -1, 1], [5, -6, 0, 0, 0, 0], [0, -3, 0, 0, -1, 1], [-5, 0, 0, -5, 2, 0], [0, 2, -2, -7, 0, 3], [-2, 4, 0, 0, -1, 1], [8, 0, -2, 8, -2, 0], [0, -5, 5, -3, 0, -5], [0, 0, 0, 3, 0, -1], [-5, 0, 2, -5, 0, 0], [-3, -4, 0, 0, 2, -2], [0, -3, 3, 0, 0, 2], [-1, 0, 0, 0, 4, -4], [9, -4, 0, 0, -2, 2], [8, -6, 0, 0, 1, -1], [0, 4, -4, 10, 0, -3], [-3, 0, 3, -3, -3, 0], [0, 3, -3, -3, 0, 0], [-7, 0, 2, -7, -2, 0], [3, 0, -3, 3, -2, 0], [0, 1, -1, -3, 0, -1], [5, 0, 10, 5, -2, 0], [-6, 0, -2, -6, 4, 0], [0, -5, 5, 0, 0, -4], [0, 4, -4, 3, 0, 6], [6, 0, 3, 6, -4, 0], [0, 0, 0, -7, 0, 0], [1, -1, 0, 0, 3, -3], [-14, 0, 5, -14, 4, 0], [0, 5, -5, 1, 0, 3], [0, 0, 0, 12, 0, 1], [14, 0, 1, 14, 2, 0], [10, -1, 0, 0, 3, -3], [9, 0, -6, 9, 4, 0], [8, 0, 0, 0, -1, 1], [-18, -1, 0, 0, 0, 0], [2, 7, 0, 0, 3, -3], [-10, -3, 0, 0, -1, 1], [0, -1, 1, -4, 0, 7], [0, -4, 4, 10, 0, 2], [9, -9, 0, 0, 4, -4], [0, -3, 3, -7, 0, -5], [0, -2, 2, -5, 0, -4], [-10, 0, 8, -10, -3, 0], [25, 1, 0, 0, 1, -1], [0, -3, 3, -3, 0, -5], [3, 11, 0, 0, -1, 1], [0, -5, 5, 7, 0, -3], [-31, 0, -2, -31, 1, 0], [-2, 0, 12, -2, -5, 0], [10, -2, 0, 0, -1, 1], [0, 4, -4, 6, 0, -5], [2, 0, 7, 2, -8, 0], [0, 11, -11, 2, 0, 2], [0, 2, -2, 22, 0, 5], [-10, 7, 0, 0, 2, -2], [0, 3, -3, -10, 0, -5], [15, 12, 0, 0, -3, 3], [12, 0, -2, 12, 5, 0], [0, 1, -1, 34, 0, -1], [14, 0, 0, 0, 0, 0], [-19, 0, 8, -19, 5, 0], [0, 0, -9, 0, 1, 0], [1, -10, 0, 0, 8, -8], [2, -15, 0, 0, 2, -2], [-10, 7, 0, 0, -4, 4], [1, 10, 0, 0, -7, 7], [2, 7, 0, 0, 5, -5], [0, -1, 1, 8, 0, -6], [-1, 0, -1, -1, 0, 0], [2, 0, -11, 2, 2, 0], [0, -11, 11, 0, 0, -4], [0, -5, 5, 28, 0, -2], [-5, 0, -7, -5, 4, 0], [0, 2, -2, -19, 0, 0], [-12, -1, 0, 0, 0, 0], [0, 5, -5, 31, 0, -1], [6, 0, 7, 6, -3, 0], [-12, 3, 0, 0, -4, 4], [-25, 0, -2, -25, -3, 0], [4, 0, 5, 4, -2, 0], [6, 0, -11, 6, 3, 0], [0, -3, 3, 11, 0, -1], [-27, 3, 0, 0, 3, -3], [11, 4, 0, 0, 1, -1], [15, 0, 0, 15, -3, 0], [0, -4, 4, 7, 0, -8], [6, 0, -8, 6, 6, 0], [0, -2, 2, -12, 0, -9], [0, 6, -6, -21, 0, 3], [-1, -9, 0, 0, 0, 0], [-14, 0, -6, -14, -3, 0], [30, 0, -6, 30, 3, 0], [27, 2, 0, 0, 1, -1], [-3, -9, 0, 0, 9, -9], [14, -5, 0, 0, -7, 7], [6, 3, 0, 0, -3, 3], [30, 0, -5, 30, 0, 0], [-6, 0, -5, -6, 0, 0], [-5, 0, -19, -5, 8, 0], [19, -4, 0, 0, 10, -10], [-7, 0, -7, -7, 0, 0], [0, -11, 11, 1, 0, 1], [-22, -3, 0, 0, 5, -5], [0, -4, 4, -22, 0, 2], [0, -5, 5, -12, 0, 0], [7, 0, -15, 7, 6, 0], [-30, 0, 4, -30, -6, 0], [2, 7, 0, 0, 3, -3], [0, -2, 2, 18, 0, 6], [-5, 0, 6, -5, -1, 0], [0, -11, 11, 10, 0, -10], [0, -13, 13, 16, 0, -6], [1, -1, 0, 0, -8, 8], [0, -3, 3, 26, 0, 4], [11, 0, 1, 11, 6, 0], [0, -11, 11, -14, 0, 10], [33, 0, 1, 33, -3, 0], [-2, 2, 0, 0, 7, -7], [0, -10, 10, 10, 0, 3], [-2, 0, 2, -2, 7, 0], [18, 17, 0, 0, -8, 8], [-22, -8, 0, 0, 7, -7], [-15, -13, 0, 0, 0, 0], [8, 0, 1, 8, -2, 0], [-1, 0, 8, -1, 5, 0], [-15, 0, 3, -15, 0, 0], [-12, 0, 10, -12, -10, 0], [-20, 0, 8, -20, -4, 0], [16, -11, 0, 0, -7, 7], [0, 16, -16, 7, 0, 14], [1, -17, 0, 0, 7, -7], [0, 4, -4, 28, 0, 6], [-5, 0, 3, -5, 12, 0], [-3, -3, 0, 0, -3, 3], [0, 11, -11, 1, 0, 8], [-11, 0, 5, -11, 7, 0], [0, -11, 11, -5, 0, -11], [25, -1, 0, 0, 0, 0], [0, 0, 0, -13, 0, -6], [6, 0, -21, 6, 6, 0], [18, -9, 0, 0, 10, -10], [-31, 0, 1, -31, 4, 0], [-23, -2, 0, 0, 6, -6], [4, 0, -6, 4, -5, 0], [0, 21, -21, -1, 0, 11], [-4, 0, -8, -4, -4, 0], [-34, 1, 0, 0, -8, 8], [-20, 1, 0, 0, 2, -2], [22, 5, 0, 0, -2, 2], [-21, 0, 7, -21, 1, 0], [-7, 0, 0, 0, 1, -1], [19, 0, -16, 19, 3, 0], [0, 11, -11, 34, 0, 2], [0, -27, 27, 12, 0, -8], [34, 0, -3, 34, -6, 0], [13, 16, 0, 0, 1, -1], [11, -6, 0, 0, -5, 5], [0, 2, -2, -37, 0, -1], [-23, 7, 0, 0, -9, 9], [0, 5, -5, 11, 0, 2], [-7, 0, -17, -7, 5, 0], [0, 14, -14, -16, 0, 1], [32, -18, 0, 0, -8, 8], [0, -8, 8, 0, 0, 2], [-1, 0, 14, -1, -12, 0], [25, 14, 0, 0, -6, 6], [0, -12, 12, 23, 0, -2], [-8, -7, 0, 0, -3, 3], [0, -9, 9, 17, 0, 3], [0, 8, -8, -19, 0, 2], [-8, 0, 14, -8, -4, 0], [-6, -9, 0, 0, -2, 2], [-12, 11, 0, 0, -6, 6], [-22, 18, 0, 0, -3, 3], [-8, -7, 0, 0, 7, -7], [0, 9, -9, 18, 0, -8], [-2, 0, -10, -2, 13, 0], [31, 0, -9, 31, -9, 0], [0, -21, 21, 5, 0, -13], [8, 0, -13, 8, -9, 0], [0, 2, -2, 8, 0, 3], [0, -16, 16, 11, 0, -6], [2, 21, 0, 0, -4, 4], [0, -4, 4, 14, 0, 5], [33, 0, -9, 33, -3, 0], [13, 0, -18, 13, 12, 0], [-36, 0, -8, -36, 1, 0], [18, -12, 0, 0, -3, 3], [-14, 13, 0, 0, -8, 8], [-22, 0, 19, -22, -1, 0], [0, 5, -5, -28, 0, 6], [0, -8, 8, -27, 0, 7], [0, -1, 1, -5, 0, -9], [0, 2, -2, 5, 0, -10], [0, -5, 5, -5, 0, -8], [22, 0, -13, 22, 8, 0], [0, -6, 6, -7, 0, 0], [7, -11, 0, 0, 0, 0], [0, -10, 10, -13, 0, -8], [0, -7, 7, 40, 0, 2], [27, 3, 0, 0, -5, 5], [0, 9, -9, 47, 0, -3], [0, 8, -8, 11, 0, 13], [-30, 0, 15, -30, -6, 0], [43, 0, -3, 43, -1, 0], [0, -6, 6, -6, 0, -11], [11, 24, 0, 0, -5, 5], [-7, -3, 0, 0, 7, -7], [0, -11, 11, -39, 0, -9], [0, 3, -3, 12, 0, 6], [-34, 0, 11, -34, -12, 0], [-20, 8, 0, 0, 9, -9], [2, 18, 0, 0, 6, -6], [-55, 0, 1, -55, 2, 0], [-9, 0, -18, -9, 0, 0], [-28, 1, 0, 0, 4, -4], [-29, 8, 0, 0, 7, -7], [0, -17, 17, -18, 0, -7], [0, -10, 10, -17, 0, -15], [-40, 6, 0, 0, -6, 6], [0, 16, -16, -17, 0, 14], [10, 0, 2, 10, 13, 0], [0, -10, 10, -32, 0, -14], [30, 0, -15, 30, -3, 0], [39, -16, 0, 0, -11, 11], [34, 11, 0, 0, -7, 7], [-24, 8, 0, 0, 7, -7], [5, 0, 10, 5, -2, 0], [-27, 0, 21, -27, 13, 0], [0, 5, -5, 19, 0, 2], [3, 12, 0, 0, 9, -9], [0, 9, -9, 18, 0, -8], [24, 0, -2, 24, 6, 0], [-11, 7, 0, 0, -12, 12], [0, 20, -20, 2, 0, 5], [0, -6, 6, 17, 0, -3], [-7, 0, -4, -7, 19, 0], [0, 3, -3, 27, 0, 13], [24, 0, -11, 24, 2, 0], [0, 9, -9, 26, 0, -12], [8, 7, 0, 0, 1, -1], [0, -5, 5, 36, 0, -4], [14, -2, 0, 0, -2, 2], [-1, -20, 0, 0, 15, -15], [23, 0, 8, 23, 1, 0], [0, -17, 17, 22, 0, -2], [-47, 0, 3, -47, 8, 0], [-2, 0, 3, -2, 8, 0], [0, -6, 6, 11, 0, 9], [9, 8, 0, 0, 2, -2], [-13, 0, -22, -13, 12, 0], [22, -5, 0, 0, 15, -15], [17, 0, 13, 17, -14, 0], [-14, 0, 24, -14, -12, 0], [0, 4, -4, -21, 0, 0], [-17, 0, -13, -17, 13, 0], [0, 1, -1, 19, 0, 2], [14, 9, 0, 0, 7, -7], [22, 0, 2, 22, 13, 0], [-27, 17, 0, 0, -3, 3], [0, 6, -6, 17, 0, 19], [11, 0, -8, 11, 2, 0], [-20, 0, 18, -20, -15, 0], [0, -7, 7, -46, 0, -9], [0, 12, -12, 38, 0, 0], [0, 15, 0, 0, 9, -9], [-26, 0, 23, -26, 10, 0], [24, 21, 0, 0, -6, 6], [-19, 0, -8, -19, -4, 0], [12, 0, -6, 12, -1, 0], [-32, 0, -3, -32, 6, 0], [-9, -3, 0, 0, -8, 8], [-10, 9, 0, 0, 1, -1], [21, 0, 12, 21, -11, 0], [-12, 0, 12, -12, -17, 0], [0, 5, -5, 19, 0, 8], [34, 0, 12, 34, -2, 0], [-10, 0, 19, -10, -7, 0], [-10, 0, 0, 0, 4, -4]], 'char_orbit_index': 17, 'field_poly': [27, 0, 34, 0, 11, 0, 1], 'hecke_orbit_code': 22519097682036548, 'hecke_ring_character_values': [[931, [1, 0, 0, 0, 0, 0]], [1241, [1, 0, 0, 0, 0, 0]], [1117, [1, 0, 0, 0, 0, 0]], [1801, [-1, 0, 0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6, 6, 2, 2], 'hecke_ring_inverse_denominators': [1, 3, 1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, 1, -2, 2, 1, 1], [-4, 1, 0, 0, 0, 0], [-7, -7, 14, -14, -4, -4], [20, -8, 0, 0, 1, -1], [52, 43, -86, 104, 19, 19]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [4, 0, 1, 0, 0, 0], [12, 25, 3, 11, 0, 1], [-3, 13, 0, 8, 0, 1], [12, 7, 8, 1, 1, 0], [-12, 7, -8, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'id': 90357, 'label': '1860.2.q.f', 'level': 1860, 'maxp': 1999, 'weight': 2}