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{'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [13, 1]], 'atkin_lehner_string': '+-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [1, 1]], [11, [-1, 1]], [17, [3, 1]], [19, [-6, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326229600, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6240.2.a.s', 'level': 6240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '6240.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6240/s'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6240.2.a', 'trace_display': [0, 1, -1, -1], 'trace_hash': 1537976956051481277, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [-1], [0], [1], [0], [1], [0], [-1], [0], [-1], [0], [-3], [0], [6], [0], [-1], [0], [5], [0], [1], [0], [1], [0], [0], [0], [4], [0], [1], [0], [1], [0], [5], [0], [-1], [0], [7], [0], [-6], [0], [-1], [0], [-8], [0], [-6], [0], [-3], [0], [-3], [0], [-1], [0], [6], [0], [-12], [0], [-15], [0], [-1], [0], [1], [0], [8], [0], [5], [0], [-15], [0], [10], [0], [1], [0], [-1], [0], [-1], [0], [1], [0], [16], [0], [3], [0], [0], [0], [9], [0], [1], [0], [4], [0], [-6], [0], [11], [0], [1], [0]], 'ap': [[0], [1], [-1], [-1], [1], [-1], [-3], [6], [5], [0], [4], [5], [7], [-6], [-8], [-3], [-12], [-15], [8], [-15], [10], [-1], [16], [9], [11], [12], [16], [17], [8], [14], [-12], [0], [-2], [21], [-15], [16], [18], [7], [-12], [18], [2], [21], [14], [17], [2], [0], [-16], [-8], [-18], [0], [27], [1], [-12], [8], [26], [-32], [24], [-22], [24], [-2], [20], [-12], [15], [-18], [-26], [-2], [-22], [26], [-27], [-18], [-36], [-24], [14], [34], [8], [6], [16], [-11], [-26], [28], [-2], [4], [-8], [2], [25], [13], [27], [39], [-37], [-1], [-3], [19], [-35], [-6], [-10], [-24], [9], [-22], [14], [14], [20], [12], [-23], [-10], [35], [-29], [10], [-36], [12], [-5], [-46], [23], [-42], [-4], [-8], [42], [19], [-45], [30], [-36], [-22], [-44], [-7], [-18], [22], [-16], [20], [-12], [-26], [-19], [-38], [-14], [49], [28], [6], [-2], [24], [-32], [-17], [-2], [2], [-1], [8], [48], [34], [5], [19], [39], [25], [-18], [38], [-48], [8], [-33], [10], [-38], [11], [21], [-20], [-51], [12], [-15], [48], [14], [38], [8], [-11], [28], [-8], [21], [-4], [-58], [54], [-49], [13], [42], [8], [-43], [-40], [-26], [-33], [-38], [40], [40], [30], [8], [18], [33], [-10], [-37], [-14], [-42], [-33], [43], [-12], [29], [-18], [12], [44], [-15], [18], [15], [3], [25], [-41], [-25], [50], [-52], [33], [13], [-32], [-32], [-16], [32], [16], [-30], [-2], [-60], [-14], [-10], [59], [50], [-54], [20], [29], [57], [-9], [-16], [-70], [13], [22], [57], [-50], [32], [-46], [24], [-66], [-54], [14], [30], [-40], [-7], [20], [54], [-38], [14], [-16], [-3], [68], [0], [58], [18], [24], [-23], [-69], [15], [-46], [55], [-10], [11], [66], [39], [-56], [54], [-44], [-57], [-39], [-55], [53], [-6], [-78], [9], [35], [68], [-28], [29], [-60], [36], [-62], [-70], [-3], [-44], [-48], [28], [-44], [20], [-2], [-36], [-4], [80], [-30], [20], [48], [-4], [26], [10], [36], [-81], [-6], [-53], [48], [-50], [-37], [51], [52], [69], [-17], [-89], [-64], [-8], [57], [54], [0], [-34], [-34], [53], [-53], [69], [-22], [68], [-40], [14], [74], [23], [-64], [-21], [-64], [-85], [-23], [38], [-34], [39], [-56], [-54], [-32], [64], [-48], [-4], [-64], [-34], [15], [-1], [65], [-64], [74], [-30], [-35], [43], [48], [-49], [-4], [73], [47], [54], [-25], [46], [-35], [-44], [42], [46], [-6], [-22], [40], [20], [-26], [-60], [-48], [-49], [65], [-40], [-52], [30], [2], [-59], [18], [-45], [56], [-29], [-36], [10], [46], [-34], [64], [-54], [72], [56], [70], [-54], [12], [85], [-6], [36], [-51], [-78], [17], [-30], [54], [-32], [5], [-54], [42], [-53], [13], [-6], [-9], [-43], [94], [86], [-63], [71], [74], [-41], [-19], [-95], [4], [-48], [-45], [-88], [28], [3], [72], [-3], [-102], [40], [-34], [-24], [73], [43], [-92], [10]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 81064793326229600, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6240.2.a.s', 'level': 6240, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [13, -1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [13, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [13, -1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 4, 4], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, -1], [13, 1]], 8, 4], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 7, 4]], 'ALdims': [6, 6, 7, 5, 7, 5, 4, 8, 6, 6, 5, 7, 5, 7, 8, 4], 'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 96, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33560672, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '6240.2.a', 'level': 6240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1376, 'mf_new_dim': 96, 'num_forms': 58, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 224, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 128, 0, 0, 0, 640, 0, 0, 0, 192, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 128, 0, 0, 0, -96, 0, 0, 0, -416, 0, 0, 0, 320, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 960, 0, 0, 0, 768, 0, 0, 0, -320, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 320, 0, 0, 0, 768, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, 800, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 64, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, 704, 0, 0, 0, -128, 0, 0, 0, 320, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -256, 0, 0, 0, -128, 0, 0, 0, 256, 0, 0, 0, -192, 0, 0, 0, 384, 0, 0, 0, 320, 0, 0, 0, 576, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, 512, 0, 0, 0, -320, 0, 0, 0, 32, 0, 0, 0, 800, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1294672
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '6240.2.a.s', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '6240.2.a.f', 'target_level': 6240, 'twist_class_label': '6240.2.a.f', 'twist_class_level': 6240, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1294673
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '6240.2.a.s', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '6240.2.a.s', 'target_level': 6240, 'twist_class_label': '6240.2.a.f', 'twist_class_level': 6240, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4129775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 2}
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id: 4129776
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 3}
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id: 4129777
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 5}
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id: 4129778
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 7}
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id: 4129779
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 11}
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id: 4129780
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 13}
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id: 4129781
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 17}
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id: 4129782
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 19}
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id: 4129783
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 23}
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id: 4129784
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 29}
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id: 4129785
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 31}
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id: 4129786
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 37}
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id: 4129787
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 41}
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id: 4129788
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 43}
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id: 4129789
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 47}
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id: 4129790
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 53}
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id: 4129791
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 59}
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id: 4129792
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 61}
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id: 4129793
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 67}
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id: 4129794
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 71}
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id: 4129795
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 73}
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id: 4129796
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 79}
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id: 4129797
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 83}
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id: 4129798
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 89}
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id: 4129799
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 81064793326229600, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '6240.2.a.s', 'level': 6240, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 244784000
{'hecke_orbit_code': 81064793326229600, 'n': 1, 'trace_an': 1}
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id: 244784001
{'hecke_orbit_code': 81064793326229600, 'n': 2, 'trace_an': 0}
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id: 244784002
{'hecke_orbit_code': 81064793326229600, 'n': 3, 'trace_an': 1}
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id: 244784003
{'hecke_orbit_code': 81064793326229600, 'n': 4, 'trace_an': 0}
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id: 244784004
{'hecke_orbit_code': 81064793326229600, 'n': 5, 'trace_an': -1}
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id: 244784005
{'hecke_orbit_code': 81064793326229600, 'n': 6, 'trace_an': 0}
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id: 244784006
{'hecke_orbit_code': 81064793326229600, 'n': 7, 'trace_an': -1}
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id: 244784007
{'hecke_orbit_code': 81064793326229600, 'n': 8, 'trace_an': 0}
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id: 244784008
{'hecke_orbit_code': 81064793326229600, 'n': 9, 'trace_an': 1}
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id: 244784009
{'hecke_orbit_code': 81064793326229600, 'n': 10, 'trace_an': 0}
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id: 244784010
{'hecke_orbit_code': 81064793326229600, 'n': 11, 'trace_an': 1}
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id: 244784011
{'hecke_orbit_code': 81064793326229600, 'n': 12, 'trace_an': 0}
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id: 244784012
{'hecke_orbit_code': 81064793326229600, 'n': 13, 'trace_an': -1}
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id: 244784013
{'hecke_orbit_code': 81064793326229600, 'n': 14, 'trace_an': 0}
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id: 244784014
{'hecke_orbit_code': 81064793326229600, 'n': 15, 'trace_an': -1}
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id: 244784015
{'hecke_orbit_code': 81064793326229600, 'n': 16, 'trace_an': 0}
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id: 244784016
{'hecke_orbit_code': 81064793326229600, 'n': 17, 'trace_an': -3}
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id: 244784017
{'hecke_orbit_code': 81064793326229600, 'n': 18, 'trace_an': 0}
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id: 244784999
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