Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0], [1, 0, 0, 0], [0, -1, 0, 1], [1, 0, 0, 0], [1, 0, -1, 1], [0, -1, 0, 1], [-1, 0, 0, 0], [1, 0, 0, 0], [0, -1, -1, 2], [1, 0, -1, 1], [2, 0, 0, 1], [0, -1, 0, 1], [-1, 1, -1, 1], [-1, 0, 0, 0], [0, -2, 0, 3], [1, 0, 0, 0], [1, 0, 1, -1], [0, -1, -1, 2], [2, -2, 0, 2], [1, 0, -1, 1], [0, 1, 0, -1], [2, 0, 0, 1], [0, 0, 0, 0], [0, -1, 0, 1], [0, -1, -1, 0], [-1, 1, -1, 1], [3, 1, -1, 1], [-1, 0, 0, 0], [-1, 3, 1, 0], [0, -2, 0, 3], [0, 1, 2, -3], [1, 0, 0, 0], [1, -3, -1, 3], [1, 0, 1, -1], [-1, 0, 1, -1], [0, -1, -1, 2], [-2, -2, -2, 1], [2, -2, 0, 2], [-2, 0, 0, 0], [1, 0, -1, 1], [0, 4, 2, -4], [0, 1, 0, -1], [2, 4, -2, -2], [2, 0, 0, 1], [4, -3, 0, 2], [0, 0, 0, 0], [0, -3, -2, -1], [0, -1, 0, 1], [1, 0, 0, 0], [0, -1, -1, 0], [0, 0, 0, -1], [-1, 1, -1, 1], [0, -4, 2, 1], [3, 1, -1, 1], [3, -1, -1, 3], [-1, 0, 0, 0], [6, -4, -2, 6], [-1, 3, 1, 0], [2, -1, -2, 3], [0, -2, 0, 3], [3, -2, 1, 5], [0, 1, 2, -3], [0, 1, 1, -2], [1, 0, 0, 0], [4, 0, 2, -4], [1, -3, -1, 3], [8, -2, -2, 1], [1, 0, 1, -1], [0, 0, 0, 0], [-1, 0, 1, -1], [2, 0, -2, -2], [0, -1, -1, 2], [1, -3, -5, 7], [-2, -2, -2, 1], [1, 0, 1, 2], [2, -2, 0, 2], [-2, 0, 0, -1], [-2, 0, 0, 0], [4, 2, 6, -1], [1, 0, -1, 1], [-2, -1, 3, -2], [0, 4, 2, -4], [-5, 1, -1, 1], [0, 1, 0, -1], [-3, 1, -1, 2], [2, 4, -2, -2], [-5, 1, -1, -5], [2, 0, 0, 1], [7, 6, 3, -9], [4, -3, 0, 2], [1, -1, 1, -1], [0, 0, 0, 0], [-3, 3, 1, -6], [0, -3, -2, -1], [2, -4, -2, 8], [0, -1, 0, 1], [-4, 3, 2, -6], [1, 0, 0, 0], [2, -4, -2, 5], [0, -1, -1, 0]], 'ap': [[1, 0, 0, 0], [0, -1, 0, 1], [1, 0, -1, 1], [-1, 0, 0, 0], [2, 0, 0, 1], [-1, 1, -1, 1], [1, 0, 1, -1], [2, -2, 0, 2], [0, 0, 0, 0], [-1, 3, 1, 0], [0, 1, 2, -3], [-2, -2, -2, 1], [0, 4, 2, -4], [2, 4, -2, -2], [0, -3, -2, -1], [0, -4, 2, 1], [2, -1, -2, 3], [3, -2, 1, 5], [8, -2, -2, 1], [2, 0, -2, -2], [1, -3, -5, 7], [4, 2, 6, -1], [-5, 1, -1, 1], [7, 6, 3, -9], [-4, 3, 2, -6], [3, -1, -1, -3], [-2, 4, 2, -4], [0, 2, 0, -6], [8, -2, -2, -1], [10, 0, 2, -1], [-6, 6, -4, -4], [-7, 4, 5, -4], [0, 2, -2, 1], [6, 1, -2, -3], [4, 6, 6, -11], [8, -8, 2, 4], [12, 1, -4, 6], [-6, 2, 0, -6], [4, 1, -2, 11], [10, -4, 6, 2], [-4, 2, 10, -10], [14, -5, -2, 2], [2, 6, -4, 4], [-4, -2, -2, 6], [0, 0, 4, -4], [4, 4, 0, -14], [-4, 2, 2, 2], [5, 8, 7, -14], [18, 2, 0, 0], [2, -5, 6, 2], [-3, -5, -5, 6], [0, 4, -2, 2], [-3, 2, -7, -3], [12, 2, 6, -2], [0, 6, 6, 0], [-6, 0, -4, 5], [10, 6, 2, 0], [9, -4, -1, -8], [3, -9, -3, -2], [0, 10, 0, 3], [4, 4, -2, -4], [-5, -2, 9, -3], [1, -10, 1, -4], [9, 12, -5, -2], [-7, -2, -7, -7], [-11, -7, -1, 0], [-10, -4, -2, 16], [2, -6, 2, 13], [-4, 4, -6, -2], [0, 6, 8, 0], [15, -5, -3, 3], [10, 4, -8, 3], [7, 7, -3, 7], [8, -2, 2, 3], [-2, 8, -4, 3], [-1, 3, -7, 11], [18, 0, -4, 3], [-13, -5, 3, 3], [-24, 4, 0, -1], [1, 7, 3, -15], [-2, 4, 8, -14], [-2, 2, -8, 7], [0, -12, -12, 10], [-2, 7, 0, 2], [21, 4, 7, -8], [0, -2, -10, 6], [-7, 11, -5, -4], [18, -4, 4, 9], [4, 0, -8, -4], [12, 0, 8, -4], [6, -2, 0, 0], [8, -6, 0, 0], [-8, 4, 4, 14], [6, -10, -2, 8], [-10, -6, -6, 10], [6, -10, -2, 8], [14, 4, -2, -12], [-10, -3, 0, -14], [-4, 22, -6, -8], [13, -3, 11, -2], [2, -2, -4, -14], [14, -12, -8, -7], [12, -2, -2, -2], [-10, 2, 16, -15], [8, -2, 8, 4], [-5, -9, 5, -7], [-14, -5, 6, -1], [8, 6, 6, 4], [24, -10, 2, 6], [-11, 5, -5, -9], [2, 7, 8, 11], [-14, -12, -4, 15], [-14, 10, -8, -7], [-5, 11, -5, 11], [14, 0, 8, -3], [0, 4, 10, 5], [4, -4, 2, -8], [-14, 17, 4, -3], [-22, -4, 12, -8], [-12, 6, 10, -4], [-5, 2, -11, -3], [-5, 13, -3, -16], [-7, -4, -1, -11], [10, -16, 4, 2], [-29, -10, -5, 10], [-2, -2, -2, 9], [4, -8, 2, -7], [-8, -19, -2, 21], [4, 10, 0, 0], [-1, 6, 5, -15], [-14, -16, 2, 8], [12, 6, 10, -7], [-8, 10, 6, -21], [-18, -8, -10, 1], [31, 1, 1, -1], [1, -12, -7, 3], [-18, -1, 6, 2], [23, 7, 11, -7], [-18, -3, 2, 6], [4, 10, -6, -10], [11, -16, -13, 0], [-17, 13, -5, 0], [-24, 4, -10, -14], [0, 2, -6, -16], [24, 4, 0, 4], [7, -7, -7, 5], [-13, -3, 7, -17], [10, 10, -4, 8], [6, 7, 2, 5], [26, -8, 2, -8], [-13, -1, -7, 2], [-11, -6, 1, -7], [-4, 22, 2, -8], [-5, -2, -3, 6], [16, 6, 10, -6], [2, -12, -4, -3], [14, -12, 12, 13], [22, -14, -8, -4], [-13, 16, 7, -7], [0, -9, -4, 18], [-2, -4, -2, 32], [-26, 2, 0, 9], [-38, 4, -4, -6], [3, -3, -1, 29], [-6, 12, 10, -7], [-7, 9, 7, -9], [-30, 12, 6, 2], [-10, -16, -2, 8], [4, -10, -6, -7], [-19, 1, -3, 11], [-2, -16, -10, 10], [42, -14, -6, 2], [-24, -4, -12, -6], [-14, -12, 6, 3], [-8, -9, -2, 9], [3, 6, -1, -1], [-2, -2, 10, 12], [-18, -16, -12, 12], [20, -18, 4, 4], [-19, 4, 3, -23], [16, -12, 6, -8], [28, 0, -6, 14], [2, 12, 24, -22], [9, -9, 11, 3], [-10, 10, 4, 2], [-13, 4, 13, -15], [-5, 17, 15, -4], [1, -23, 1, 5], [1, 1, -15, 14], [-3, 14, -5, -22], [40, -12, 6, 8], [-6, 18, 10, -20], [-6, -12, 16, -12], [-5, -9, -5, 23], [0, 6, 10, -9], [-6, -15, -12, 24], [12, -24, 0, -1], [20, -6, 0, -13], [20, 7, 10, 2], [-5, 2, -19, 12], [-4, 0, 10, 19], [-14, -7, 16, -25], [22, 18, 6, -32], [-4, -5, -10, -6], [-12, 6, -2, 4], [-4, 4, 4, -10], [25, -19, -5, -13], [-36, 8, 6, 8], [17, -13, -17, 20], [-5, -4, 3, 10], [-23, -13, 3, 8], [-3, 15, 33, -29], [-4, 2, -6, 25], [-10, 4, 4, 30], [-22, 15, 12, -15], [41, -4, -3, -7], [4, 18, 2, 8], [-21, 3, -7, -25], [20, -16, -10, 8], [-20, 2, 2, -10], [-4, 0, 4, -4], [28, -6, 0, 12], [-10, -4, -8, 12], [-14, 2, 4, 2], [8, 11, 8, -27], [1, -1, -7, -32], [-34, -5, 0, 10], [-16, -16, 2, -8], [-5, -19, 1, 21], [-16, -18, -4, 44], [16, -4, -4, -18], [28, 12, 2, -4], [4, -6, 10, -17], [-23, 1, -3, -24], [-24, 0, -14, -2], [-17, 1, -11, -13], [13, -6, 13, 25], [-18, -14, -14, 21], [24, -8, 16, 10], [2, 15, 8, -31], [2, -8, 6, -22], [-5, -26, 11, 16], [12, -3, 2, 9], [-24, 22, 18, -14], [-28, 2, -10, 0], [52, -9, 10, 11], [-7, 16, 7, -8], [-17, -15, 7, -13], [30, -4, 0, -26], [-8, -28, 8, 22], [20, 16, 16, -29], [-10, -11, 4, -32], [-8, -10, 2, -7], [-25, -12, -9, 7], [-19, -19, 5, -7], [-26, -12, -12, 14], [-2, 0, 2, 23], [6, 2, 16, -22], [6, 0, 18, -16], [-7, -11, -25, 11], [38, 0, -4, 11], [-28, 2, 26, -26], [-18, -6, -10, 22], [-1, 0, 21, 3], [-44, -20, -10, 34], [-28, 4, -10, -6], [-6, -8, -10, 9], [-22, 3, 4, 12], [-12, -10, 2, 11], [12, -8, 0, 26], [-8, 18, 0, 22], [10, -4, 12, -5], [-23, -14, -3, 35], [-8, -6, -6, 11], [-1, -15, -7, 13], [-8, -15, -18, 27], [-2, -4, -18, -14], [-33, 5, -5, -6], [-40, 2, 16, -17], [12, 10, 2, 4], [5, -18, 11, 0], [14, 22, -8, 10], [-39, 11, -9, -13], [-32, 3, -8, 10], [-6, 23, -2, -3], [-28, 10, 12, -4], [16, -16, 12, 15], [-6, 0, -20, -11], [13, -18, 3, 30], [7, -7, 9, 13], [26, -8, 0, -5], [14, 28, 8, -16], [5, -19, 13, 4], [35, 15, -17, 17], [-12, -16, 8, -8], [16, -17, -24, 18], [-10, 14, 2, 2], [21, 15, -23, 21], [-18, -27, -6, 35], [22, 11, -2, 11], [5, -4, 17, 25], [40, -10, 4, -11], [6, 6, 6, -8], [16, 26, 28, -32], [50, 8, 0, -14], [24, -16, 4, 28], [0, 28, 2, -10], [29, 10, -1, 7], [26, 14, 2, -10], [28, 12, -24, 20], [-18, 15, -20, -25], [4, -22, 0, 19], [2, -28, 2, 9], [8, -26, 4, 26], [-34, -16, 4, 5], [40, 5, -10, 8], [-6, -19, -14, 43], [18, -8, -18, 34], [8, -19, -2, -2], [26, -10, -22, 4], [55, -13, 3, -3], [-22, 8, -4, -13], [-7, -13, -3, 45], [20, -20, 4, 2], [-8, 2, -16, 17], [12, 5, -18, 6], [24, 10, -8, 0], [17, 18, -7, -18], [38, 8, -16, 19], [-32, -12, 22, -15], [17, 1, -9, 22], [-14, 34, 2, -14], [28, 9, 22, -5], [-4, -9, 12, -13], [6, -32, -24, 21], [-24, 7, -8, -7], [46, 18, -16, 11], [3, -28, -5, 31], [18, -14, -12, -12], [53, -5, -9, 1], [-7, 7, -3, 2], [-4, 4, 10, -45], [25, -9, -19, 1], [-44, -20, -4, 38], [4, 14, 6, -19], [16, -6, 4, -32], [-23, -1, -7, -9], [24, -14, 0, -16], [-8, -22, -20, 10], [22, -9, -18, 2], [37, 0, -19, 18], [-2, 8, -4, -24], [19, 3, -3, 18], [39, -17, -7, 23], [14, 24, -4, 3], [-25, -9, -7, 31], [23, 3, 1, -7], [8, 10, 6, 0], [-23, -3, 13, -14], [4, 24, -20, -2], [-28, 16, 16, -25], [47, 15, 17, -15], [-12, -32, -16, 32], [52, 14, -6, -1], [37, -12, -15, 16], [20, 20, 0, 8], [29, 3, -11, 29], [34, 28, 20, -47], [28, -22, -4, 13], [24, -18, -14, 4], [2, -41, 6, 1], [-10, 4, -8, 0], [48, 10, -4, 9], [1, -31, -5, 9], [-22, 26, 2, -14], [-1, -14, -21, 18], [-28, 12, 10, 0], [48, -23, 2, 16], [-70, -7, -4, -4], [34, 8, 4, -10], [1, 8, 31, -13], [16, 14, 30, -33], [22, 22, 24, -40], [-4, 18, 10, -28], [14, 6, -20, -10], [-27, -14, 15, -4], [12, -10, -12, 8], [-44, -4, -20, 10], [-2, -20, -16, -9], [1, 35, -9, -5], [12, 32, 0, -5], [28, 10, 4, -52], [-34, -12, 16, -6], [6, 7, -26, 15], [-46, -12, 0, 11], [-8, 6, -16, -5], [11, 33, -19, 9], [-1, 42, -5, -23], [2, 0, 18, -30], [-19, 19, 25, -40], [-15, -5, -11, 37], [-13, -5, -9, -28], [18, 12, 8, -39], [-35, 6, 5, -5], [-15, -13, 1, 37], [27, -14, 5, 36], [-32, -2, 8, 11], [34, 2, -6, 38], [-21, 9, 7, 19], [29, 2, 9, 4], [34, -30, 0, -4], [18, 10, 2, -22], [38, 0, 8, -36], [8, -14, 6, 8], [10, -20, 20, 11], [40, 24, -8, -14], [-8, -6, 26, -8], [34, 15, -16, 27], [16, -7, -6, 30], [22, -4, 2, 40], [22, 22, -8, 3], [30, 3, 14, -10], [2, 0, 24, -10], [-14, 17, 2, -7], [-3, 3, 15, -15], [-39, -11, 9, 5], [28, -10, 6, -5], [14, -18, 6, -16], [12, -13, 20, 3], [-1, 12, -27, -4]], 'char_orbit_index': 1, 'field_poly': [2, -4, -6, 0, 1], 'hecke_orbit_code': 126100789599935726, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 1, 1, 0], [3, 5, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -1, 1, 0], [0, -4, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 178517, 'label': '7406.2.a.bc', 'level': 7406, 'maxp': 2999, 'weight': 2}