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{'Nk2': 19456, 'analytic_conductor': 38.83923554315078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [19, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4864, 1, [3839, 2053, 4353], [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': [[3, [-1, 1]], [5, [0, 1]], [7, [-3, 1]], [11, [0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562005248, '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': False, 'label': '4864.2.a.m', 'level': 4864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '1216.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+3q^{7}-2q^{9}-3q^{13}+3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/4864/m'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4864.2.a', 'trace_display': [0, 1, 0, 3], 'trace_hash': 1718726285260228130, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.997', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [3], [0], [-2], [0], [0], [0], [-3], [0], [0], [0], [3], [0], [-1], [0], [3], [0], [-9], [0], [-5], [0], [-5], [0], [9], [0], [-6], [0], [0], [0], [0], [0], [-6], [0], [-3], [0], [-6], [0], [-8], [0], [0], [0], [0], [0], [2], [0], [3], [0], [9], [0], [0], [0], [-1], [0], [-3], [0], [-6], [0], [-6], [0], [0], [0], [5], [0], [-9], [0], [0], [0], [-11], [0], [-5], [0], [0], [0], [12], [0], [1], [0], [6], [0], [0], [0], [9], [0], [0], [0], [-9], [0], [-6], [0], [0], [0], [-8], [0], [0], [0]], 'ap': [[0], [1], [0], [3], [0], [-3], [3], [-1], [-9], [9], [-6], [-6], [-6], [-8], [0], [9], [-3], [-6], [5], [0], [-11], [12], [6], [0], [-8], [0], [6], [3], [-9], [-12], [18], [-12], [-9], [14], [-18], [0], [24], [-2], [-18], [18], [-12], [18], [-9], [-4], [18], [15], [5], [6], [-27], [6], [6], [-9], [-10], [24], [-24], [0], [-18], [-9], [-18], [24], [14], [-9], [20], [-9], [17], [-9], [-1], [4], [-18], [24], [-27], [9], [24], [-9], [25], [-18], [0], [6], [-36], [22], [-36], [-27], [-18], [-2], [-24], [0], [-36], [-35], [-36], [-24], [24], [36], [18], [24], [32], [-9], [18], [-18], [-29], [-30], [28], [36], [0], [-6], [14], [7], [12], [6], [0], [-26], [-12], [18], [6], [-10], [48], [18], [-32], [27], [-18], [-9], [-45], [46], [-9], [24], [46], [36], [42], [27], [3], [-36], [-16], [18], [30], [-6], [-33], [-31], [-9], [-23], [-27], [21], [43], [-18], [9], [-39], [-21], [36], [6], [12], [22], [-54], [-21], [-30], [34], [-18], [-17], [36], [-3], [21], [-7], [-27], [-24], [54], [-24], [-24], [42], [18], [-12], [-42], [-38], [18], [3], [33], [-36], [-1], [-42], [6], [-10], [36], [6], [-6], [45], [-57], [-30], [-24], [27], [54], [-45], [-28], [50], [63], [20], [42], [-16], [27], [66], [66], [13], [6], [-21], [9], [-54], [0], [33], [28], [42], [-54], [-45], [9], [-15], [13], [-7], [36], [12], [-57], [36], [64], [-45], [12], [0], [18], [-6], [30], [-42], [51], [3], [30], [-42], [72], [-36], [54], [-6], [25], [54], [-60], [28], [-63], [-50], [36], [-54], [72], [12], [2], [-51], [57], [48], [36], [72], [12], [-76], [-45], [-66], [3], [-9], [-10], [-36], [6], [-60], [-28], [54], [-38], [-48], [36], [-66], [33], [42], [-19], [-45], [-45], [67], [18], [-3], [47], [53], [-63], [-40], [-3], [-60], [-51], [-20], [42], [-72], [-9], [-9], [33], [22], [-36], [65], [54], [-75], [-6], [-36], [48], [-72], [12], [66], [54], [-36], [36], [-45], [-8], [14], [27], [-21], [-87], [76], [-34], [-39], [-21], [-36], [-48], [0], [-54], [-6], [4], [0], [20], [-6], [0], [-17], [-54], [-73], [-13], [-27], [48], [-45], [-2], [-11], [-53], [18], [72], [-84], [63], [-45], [-84], [-16], [-54], [-69], [-60], [-5], [33], [-45], [-33], [9], [-18], [-27], [-72], [-18], [-1], [-54], [-90], [-68], [-2], [-36], [-72], [18], [-30], [63], [-66], [-33], [-90], [0], [-54], [0], [-75], [20], [10], [18], [66], [-2], [96], [-29], [27], [-27], [-48], [-12], [-93], [-72], [38], [21], [44], [90], [66], [81], [-18], [-23], [-36], [33], [0], [74], [72], [-28], [27], [-54], [-98], [-18], [-14], [96], [18], [40], [18], [78], [-18], [54], [-36], [-54], [15], [12], [0], [-77], [66], [46], [54], [-15], [46], [-23], [-72], [-54], [90], [-33], [54], [-54], [-57], [-63], [27], [56], [-9], [-75], [-45], [34], [63]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 54043195562005248, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4864.2.a.m', 'level': 4864, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 32, 11], [[[2, 1], [19, -1]], 40, 12], [[[2, 1], [19, 1]], 34, 11], [[[2, -1], [19, 1]], 38, 12]], 'ALdims': [34, 40, 38, 32], 'Nk2': 19456, 'analytic_conductor': 38.83923554315078, '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': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 617, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33559296, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4864.2.a', 'level': 4864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 664, 'mf_new_dim': 144, 'num_forms': 46, 'plus_dim': 66, 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1152, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 704, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, 0, 0, 736, 0, 0, 0, 0, 0, 0, 0, -544, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -832, 0, 0, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 1600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -608, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 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: 1230097
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4864.2.a.m', 'source_level': 4864, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1216.2.c.a', 'target_level': 1216, 'twist_class_label': '1216.2.c.a', 'twist_class_level': 1216, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1230098
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4864.2.a.m', 'source_level': 4864, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1216.2.c.d', 'target_level': 1216, 'twist_class_label': '1216.2.c.a', 'twist_class_level': 1216, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1230099
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4864.2.a.m', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4864.2.a.d', 'target_level': 4864, 'twist_class_label': '1216.2.c.a', 'twist_class_level': 1216, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1230100
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4864.2.a.m', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4864.2.a.e', 'target_level': 4864, 'twist_class_label': '1216.2.c.a', 'twist_class_level': 1216, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1230101
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4864.2.a.m', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4864.2.a.l', 'target_level': 4864, 'twist_class_label': '1216.2.c.a', 'twist_class_level': 1216, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1230102
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4864.2.a.m', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4864.2.a.m', 'target_level': 4864, 'twist_class_label': '1216.2.c.a', 'twist_class_level': 1216, '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: 3729350
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 2}
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id: 3729351
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 3}
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id: 3729352
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 5}
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id: 3729353
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 7}
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id: 3729354
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 11}
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id: 3729355
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 13}
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id: 3729356
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 17}
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id: 3729357
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 19}
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id: 3729358
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 23}
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id: 3729359
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 29}
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id: 3729360
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 31}
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id: 3729361
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 37}
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id: 3729362
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 41}
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id: 3729363
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 43}
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id: 3729364
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 47}
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id: 3729365
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 53}
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id: 3729366
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 59}
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id: 3729367
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 61}
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id: 3729368
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 67}
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id: 3729369
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 71}
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id: 3729370
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 73}
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id: 3729371
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 79}
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id: 3729372
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 83}
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id: 3729373
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 89}
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id: 3729374
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 54043195562005248, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '4864.2.a.m', 'level': 4864, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 222444000
{'hecke_orbit_code': 54043195562005248, 'n': 1, 'trace_an': 1}
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id: 222444001
{'hecke_orbit_code': 54043195562005248, 'n': 2, 'trace_an': 0}
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id: 222444002
{'hecke_orbit_code': 54043195562005248, 'n': 3, 'trace_an': 1}
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id: 222444003
{'hecke_orbit_code': 54043195562005248, 'n': 4, 'trace_an': 0}
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id: 222444004
{'hecke_orbit_code': 54043195562005248, 'n': 5, 'trace_an': 0}
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id: 222444005
{'hecke_orbit_code': 54043195562005248, 'n': 6, 'trace_an': 0}
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id: 222444006
{'hecke_orbit_code': 54043195562005248, 'n': 7, 'trace_an': 3}
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id: 222444007
{'hecke_orbit_code': 54043195562005248, 'n': 8, 'trace_an': 0}
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id: 222444008
{'hecke_orbit_code': 54043195562005248, 'n': 9, 'trace_an': -2}
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