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{'Nk2': 11400, 'analytic_conductor': 22.75736457606491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [19, 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': [2850, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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, [0, 1]], [11, [-1, 1]], [13, [-4, 1]], [23, [-5, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632738, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2850.2.a.l', 'level': 2850, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '2850.2.a.l', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/2850/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2850.2.a', 'trace_display': [-1, 1, 0, 0], 'trace_hash': 906471644643368837, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [0], [-1], [1], [0], [1], [1], [4], [0], [0], [1], [4], [-1], [-1], [0], [0], [-1], [5], [-1], [0], [-4], [1], [0], [3], [0], [-5], [-1], [1], [-4], [0], [1], [-6], [1], [4], [0], [-2], [0], [4], [1], [0], [-5], [0], [1], [-7], [0], [4], [4], [9], [-1], [0], [0], [-1], [-3], [0], [0], [-11], [5], [0], [1], [0], [-1], [-1], [4], [5], [0], [2], [-1], [-3], [6], [0], [-1], [0], [-4], [17], [0], [1], [2], [3], [0], [0], [-4], [3], [-1], [7], [0], [0], [5], [-5], [0], [0], [-1], [10], [7], [1], [0]], 'ap': [[-1], [1], [0], [0], [1], [4], [4], [-1], [5], [3], [-5], [-6], [-2], [4], [0], [9], [0], [-11], [-1], [2], [-3], [17], [3], [7], [10], [-8], [13], [10], [6], [5], [-5], [15], [-4], [-2], [0], [-24], [14], [10], [18], [7], [-4], [0], [11], [10], [-20], [6], [-13], [-15], [2], [5], [-24], [0], [-4], [16], [7], [-11], [-2], [2], [-1], [-3], [-8], [11], [-25], [32], [21], [-13], [13], [-8], [-12], [-1], [28], [24], [-18], [28], [-8], [-6], [26], [-3], [-17], [6], [-12], [-34], [38], [-22], [21], [-13], [-27], [-18], [4], [4], [-11], [-37], [8], [36], [-24], [-36], [-27], [3], [20], [-13], [1], [0], [26], [22], [-26], [-27], [-17], [-28], [28], [-2], [-25], [26], [-46], [-8], [28], [6], [-14], [-21], [-48], [-36], [-32], [44], [-15], [-18], [26], [0], [-43], [-29], [-10], [41], [-20], [-16], [32], [-23], [-30], [35], [18], [37], [-18], [-44], [-35], [26], [-26], [48], [-50], [-12], [10], [-38], [-18], [4], [-2], [-48], [-38], [0], [8], [-18], [14], [-12], [-10], [33], [20], [3], [14], [-12], [46], [34], [13], [37], [-54], [-22], [20], [-12], [36], [-29], [-21], [-62], [-12], [-50], [-8], [-55], [42], [46], [38], [-45], [-9], [56], [20], [-43], [28], [1], [48], [37], [13], [27], [12], [-42], [33], [-43], [-6], [39], [-33], [0], [40], [16], [-53], [4], [38], [-48], [-6], [-20], [29], [-34], [44], [-18], [4], [6], [58], [-25], [62], [26], [-10], [-65], [70], [-18], [18], [6], [67], [30], [0], [-33], [-18], [-9], [15], [-65], [-74], [24], [46], [-6], [12], [22], [-16], [32], [2], [-2], [-58], [57], [-76], [10], [-3], [-9], [49], [30], [9], [2], [36], [-41], [-58], [57], [-26], [6], [-1], [-48], [63], [54], [38], [17], [-30], [-20], [73], [-44], [72], [-37], [-55], [34], [28], [-68], [27], [16], [20], [-51], [64], [40], [8], [-70], [80], [-76], [-81], [-33], [-16], [-75], [46], [47], [42], [-26], [-24], [-54], [76], [-24], [-82], [-14], [15], [-79], [14], [64], [-34], [-68], [64], [-40], [-47], [-41], [75], [-30], [-57], [-47], [16], [0], [1], [-54], [78], [26], [40], [-90], [-2], [24], [4], [-2], [-60], [44], [-48], [-26], [15], [-19], [60], [-1], [-74], [9], [22], [57], [41], [-4], [8], [-70], [-37], [13], [-59], [-22], [11], [-87], [40], [-12], [49], [-76], [-8], [73], [8], [21], [3], [7], [-54], [64], [85], [28], [42], [-70], [-48], [-4], [30], [-40], [-40], [3], [-21], [56], [43], [-68], [34], [-42], [19], [-47], [36], [14], [-66], [26], [-64], [36], [-1], [-88], [-12], [-38], [96], [10], [0], [21], [9], [-14], [18], [-6], [88], [57], [35], [100], [-54], [-22], [-68], [51], [-15], [26], [-73], [93], [-37], [75], [-8], [-42], [76], [-80], [13], [66], [8], [-31], [-92], [54], [-6], [-22], [-47], [-82], [96], [42], [-16], [92], [20], [93]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934632738, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2850.2.a.l', 'level': 2850, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 4, 2, 3, 4, 4, 4, 4, 2, 3, 5, 2, 5, 5, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [27, 35, 37, 32, 33, 32, 33, 31, 35, 31, 31, 33, 37, 31, 27, 36], 'Nk2': 11400, 'analytic_conductor': 22.75736457606491, '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': [2850, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 56, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 33557282, '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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '2850.2.a', 'level': 2850, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 624, 'mf_new_dim': 56, 'num_forms': 40, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1200, 'trace_bound': 23, 'trace_display': [-2, 0, 0, -8], 'traces': [56, -2, 0, 56, 0, -2, -8, -2, 56, 0, 4, 0, 4, 0, 0, 56, 0, -2, -2, 0, 0, -4, 4, -2, 0, 28, 0, -8, 12, 0, -12, -2, 4, 20, 0, 56, -20, 0, -8, 0, 4, 0, 24, 4, 0, 0, 4, 0, 24, 0, 0, 4, 12, -2, 0, 0, 2, -8, 0, 0, 0, -16, -8, 56, 0, -12, 32, 0, -8, 0, 0, -2, 24, 36, 0, -2, 0, 8, -44, 0, 56, 8, 60, 0, 0, -24, -12, -4, 28, 0, -32, 4, -8, -8, 0, -2, -24, 14, 4, 0, 24, -4, 36, 28, 0, 32, 16, 0, 68, 0, -16, -8, 44, -4, 0, 12, 4, 32, 80, 0, 80, -4, 12, -12, 0, 0, 36, -2, -32, 0, 4, 4, 0, 0, 0, 20, 0, 20, 8, 0, -32, 0, 32, 56, 0, 20, -32, -20, -8, 0, -28, 0, 0, 112, 0, -8, -56, 56, 44, 0, 16, -2, 0, 4, 0, 44, -8, 0, 0, 0, -2, 24, -12, 16, 0, 4, 24, 8, -24, 0, 36, 80, -24, 0, 0, 76, -8, 4, 0, 0, 12, 0, -48, 28, 0, 24, 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120, 0, -96, -12, 0, -100, 0, 16, 24, 4, -112, 0, -184, 8, -16, 4, 0, -36, 144, 24, -184, 0, -44, 8, 232, 32, 0, -24, -72, -104, 4, 0, 128, -2, 24, 36, 0, -42, -160, 80, 56, 0, 304, -24, 16, -96, 0, 0, -128, 8, -88, 0, -12, 80, -184, 76, 0, 100, 60, -8, 96, 0, -28, 4, -140, 120, 0, 0, 8, 120, 72, 0, 88, -84, -80, 12, 0, -32, -160, 0, 304, 0, 12, -48, -36, -24, 0, 28, 0, -216, -16, 0, -128, 32, -12, 24, 0, 132, -104, -88, -56, 0, -160, -4, 56, -52, 0, -24, 44, 8, 104, 0, 28, -40, -8, -48, 0, -64, -4, -16, 0, 0, -184, 64, 16, -64, 0, 0, 0, -92, -32, 0, 472, -52, -224, -8, 0, -48, -168, 4, 100, 0, 56, 4, 32, -80, 0, 60, -8, 76, -392, 0, -48, -124, -76, -72, 0, -8, -104, 12, -32, 0, -144, 32, -72, -160, 0, 88, -76, 80, -152, 0, 64, -48, -56, -2, 0, -124, 0, -64, 200, 0, 224, -44, -24, -16, 0, -64, -84, 8, 140, 0, 312, 14, 32, -8, 0, -148, 8, 16, 208, 0, 4, 76, -52, 20, 0, 0, -128, 32, 208, 0, 88, 168, -208, -16, 0, -52, 112, -96, 24, 0, -104, 2, 64, -60, 0, 16, 64, -4, -112, 0, -168, -8, -64, 48, 0, -128, 36, -8, 96, 0, 62, -56, 32, -4, 0, 28, 168, 160, -32, 0, 36, -52, -128, 0, 0, 96, 68, 16, -56, 0, 12, 48, -28, 32, 0, -132, 88, -88, 480, 0, -168, -24, 16, -32, 0, -16, -120, 6, -4, 0, -16, 0, 192, -256, 0, 0, -36, 48, 280, 0, 68, -28, -144, 16, 0, -64, 48, 8, -144, 0, 20, -16, 80, -224, 0, -12, -24, 96, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1007820
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2850.2.a.l', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '2850.2.a.l', 'target_level': 2850, 'twist_class_label': '2850.2.a.l', 'twist_class_level': 2850, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1007821
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2850.2.a.l', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '2850.2.a.u', 'target_level': 2850, 'twist_class_label': '2850.2.a.l', 'twist_class_level': 2850, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1007822
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2850.2.a.l', 'source_level': 2850, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2850.2.d.g', 'target_level': 2850, 'twist_class_label': '2850.2.a.l', 'twist_class_level': 2850, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1007823
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2850.2.a.l', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8550.2.a.h', 'target_level': 8550, 'twist_class_label': '2850.2.a.l', 'twist_class_level': 2850, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1007824
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2850.2.a.l', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '8550.2.a.z', 'target_level': 8550, 'twist_class_label': '2850.2.a.l', 'twist_class_level': 2850, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2880275
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 2}
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id: 2880276
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 3}
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id: 2880277
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 5}
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id: 2880278
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 7}
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id: 2880279
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 11}
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id: 2880280
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 13}
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id: 2880281
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 17}
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id: 2880282
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 19}
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id: 2880283
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 23}
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id: 2880284
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 29}
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id: 2880285
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 31}
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id: 2880286
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 37}
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id: 2880287
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 41}
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id: 2880288
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 43}
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id: 2880289
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 47}
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id: 2880290
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 53}
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id: 2880291
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 59}
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id: 2880292
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 61}
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id: 2880293
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 67}
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id: 2880294
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 71}
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id: 2880295
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 73}
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id: 2880296
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 79}
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id: 2880297
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 83}
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id: 2880298
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 89}
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id: 2880299
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934632738, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2850.2.a.l', 'level': 2850, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55832467
{'hecke_orbit_code': 49539595934632738, 'n': 1, 'trace_an': 1}
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id: 55832468
{'hecke_orbit_code': 49539595934632738, 'n': 2, 'trace_an': -1}
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id: 55832469
{'hecke_orbit_code': 49539595934632738, 'n': 3, 'trace_an': 1}
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id: 55832470
{'hecke_orbit_code': 49539595934632738, 'n': 4, 'trace_an': 1}
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id: 55832471
{'hecke_orbit_code': 49539595934632738, 'n': 5, 'trace_an': 0}
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id: 55832472
{'hecke_orbit_code': 49539595934632738, 'n': 6, 'trace_an': -1}
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id: 55832473
{'hecke_orbit_code': 49539595934632738, 'n': 7, 'trace_an': 0}
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id: 55832474
{'hecke_orbit_code': 49539595934632738, 'n': 8, 'trace_an': -1}
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id: 55832475
{'hecke_orbit_code': 49539595934632738, 'n': 9, 'trace_an': 1}
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id: 55832476
{'hecke_orbit_code': 49539595934632738, 'n': 10, 'trace_an': 0}
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id: 55832477
{'hecke_orbit_code': 49539595934632738, 'n': 11, 'trace_an': 1}
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