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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [11, -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': [3234, 1, [1079, 199, 2059], [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': [[5, [0, 1]], [13, [4, 1]], [17, [-3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934633122, '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': '3234.2.a.l', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.i.b', '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/3234/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [-1, 1, 0, 0], 'trace_hash': 1138639854117456046, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, 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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], [3], [-1], [-1], [0], [0], [-1], [-3], [-1], [-5], [4], [1], [0], [-9], [0], [2], [-1], [1], [-3], [0], [1], [-7], [1], [-4], [0], [-6], [0], [11], [1], [0], [3], [-3], [1], [0], [5], [3], [-4], [0], [-1], [0], [0], [-1], [9], [9], [0], [-10], [-2], [0], [1], [0], [-1], [-4], [3], [-3], [0], [3], [-1], [-4], [7], [-5], [-1], [0], [4], [-16], [0], [1], [6], [0], [0], [0], [-11], [-9], [-1], [0], [0], [0], [-3], [2], [3], [0], [-1], [-1], [0], [1], [-5]], 'ap': [[-1], [1], [0], [0], [1], [-4], [3], [-1], [-3], [-9], [2], [-7], [-6], [11], [-3], [0], [9], [-10], [-4], [3], [-4], [-16], [0], [0], [-1], [15], [-4], [-18], [-10], [12], [-1], [18], [12], [-19], [9], [-19], [-13], [2], [12], [-6], [-15], [-10], [0], [-10], [-21], [20], [-4], [8], [18], [26], [9], [-24], [-28], [15], [12], [-18], [6], [-16], [32], [-15], [20], [9], [-4], [-21], [-1], [-12], [-10], [-10], [12], [8], [-24], [-18], [-4], [-22], [14], [15], [12], [-13], [-6], [14], [9], [17], [-12], [29], [-37], [3], [0], [2], [21], [8], [-33], [6], [-4], [-36], [-10], [30], [-36], [-30], [-4], [20], [-19], [45], [-36], [-21], [29], [-22], [12], [9], [48], [38], [32], [-16], [18], [14], [-16], [18], [-46], [48], [24], [-18], [35], [44], [-33], [33], [50], [-27], [35], [9], [-22], [14], [-4], [6], [2], [-7], [30], [50], [54], [23], [42], [-6], [20], [42], [14], [42], [-19], [-36], [20], [-57], [-40], [24], [32], [12], [2], [0], [-40], [9], [-7], [6], [8], [-21], [3], [30], [-37], [0], [-12], [-39], [8], [-28], [-28], [6], [-42], [-22], [-30], [8], [32], [30], [47], [18], [-16], [-28], [-52], [18], [29], [-33], [-3], [-60], [56], [56], [-4], [18], [-61], [42], [20], [-30], [18], [30], [44], [-37], [-42], [54], [-42], [5], [50], [44], [-63], [-36], [-16], [-6], [30], [-58], [2], [-48], [44], [-12], [0], [59], [-40], [-30], [-12], [66], [-10], [65], [30], [-70], [-36], [-64], [-6], [-3], [17], [-48], [5], [-61], [-31], [-57], [-58], [-72], [11], [-6], [60], [48], [33], [-64], [14], [11], [45], [36], [-16], [39], [-49], [-36], [-40], [-27], [33], [-46], [54], [-18], [62], [-37], [-42], [20], [-16], [42], [32], [2], [66], [38], [-6], [-54], [23], [18], [59], [-52], [-34], [-61], [50], [-34], [-33], [-10], [-34], [6], [-42], [8], [30], [14], [23], [39], [62], [15], [-64], [-75], [-66], [-33], [42], [-18], [-58], [-30], [20], [-18], [-66], [-25], [50], [57], [-25], [9], [-82], [-46], [-36], [41], [-39], [-10], [-78], [-54], [45], [-4], [-36], [-82], [-45], [-42], [-13], [-81], [65], [-67], [-3], [-16], [45], [-46], [80], [-28], [-42], [-6], [44], [48], [5], [0], [44], [36], [-61], [33], [-79], [29], [26], [-24], [81], [-76], [48], [-12], [-13], [26], [-42], [18], [41], [29], [30], [-1], [14], [39], [0], [96], [-21], [0], [62], [45], [-24], [-60], [-64], [-55], [-51], [20], [-88], [45], [-88], [42], [66], [-28], [5], [27], [72], [56], [-78], [8], [-84], [-36], [-16], [-33], [41], [-72], [50], [41], [95], [21], [-37], [30], [-69], [26], [-3], [68], [-79], [-12], [38], [-57], [14], [-36], [32], [-102], [-99], [32], [17], [81], [2], [33], [-10], [-15], [27], [71], [8], [-90], [42], [14], [18], [18], [-42], [-64], [15], [90], [-61], [-84], [72], [21], [-16], [-6]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934633122, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3234.2.a.l', 'level': 3234, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [11, 1]], 6, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, -1]], 4, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [11, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 7, 2], [[[2, -1], [3, -1], [7, -1], [11, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, 1]], 4, 4], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [11, 1]], 2, 2]], 'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, '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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, 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mf_twists_nf • Show schema
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id: 1068329
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3234.2.a.l', 'source_level': 3234, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '462.2.i.b', 'target_level': 462, 'twist_class_label': '462.2.i.b', 'twist_class_level': 462, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1068330
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3234.2.a.l', 'source_level': 3234, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1386.2.k.d', 'target_level': 1386, 'twist_class_label': '462.2.i.b', 'twist_class_level': 462, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1068331
{'conductor': 7, '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': False, 'source_label': '3234.2.a.l', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3234.2.a.f', 'target_level': 3234, 'twist_class_label': '462.2.i.b', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068332
{'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': False, 'source_label': '3234.2.a.l', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3234.2.a.l', 'target_level': 3234, 'twist_class_label': '462.2.i.b', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1068333
{'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': False, 'source_label': '3234.2.a.l', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '9702.2.a.bl', 'target_level': 9702, 'twist_class_label': '462.2.i.b', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068334
{'conductor': 21, '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': False, 'source_label': '3234.2.a.l', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '9702.2.a.bn', 'target_level': 9702, 'twist_class_label': '462.2.i.b', 'twist_class_level': 462, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074175
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 2}
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id: 3074176
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 3}
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id: 3074177
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 5}
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id: 3074178
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 7}
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id: 3074179
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 11}
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id: 3074180
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 13}
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id: 3074181
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 17}
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id: 3074182
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 19}
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id: 3074183
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 23}
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id: 3074184
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 29}
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id: 3074185
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 31}
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id: 3074186
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 37}
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id: 3074187
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 41}
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id: 3074188
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 43}
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id: 3074189
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 47}
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id: 3074190
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 53}
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id: 3074191
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 59}
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id: 3074192
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 61}
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id: 3074193
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 67}
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id: 3074194
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 71}
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id: 3074195
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 73}
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id: 3074196
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 79}
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id: 3074197
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 83}
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id: 3074198
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 89}
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id: 3074199
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934633122, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '3234.2.a.l', 'level': 3234, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 216553000
{'hecke_orbit_code': 49539595934633122, 'n': 1, 'trace_an': 1}
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id: 216553001
{'hecke_orbit_code': 49539595934633122, 'n': 2, 'trace_an': -1}
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id: 216553002
{'hecke_orbit_code': 49539595934633122, 'n': 3, 'trace_an': 1}
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id: 216553003
{'hecke_orbit_code': 49539595934633122, 'n': 4, 'trace_an': 1}
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id: 216553004
{'hecke_orbit_code': 49539595934633122, 'n': 5, 'trace_an': 0}
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id: 216553005
{'hecke_orbit_code': 49539595934633122, 'n': 6, 'trace_an': -1}
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id: 216553006
{'hecke_orbit_code': 49539595934633122, 'n': 7, 'trace_an': 0}
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id: 216553007
{'hecke_orbit_code': 49539595934633122, 'n': 8, 'trace_an': -1}
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id: 216553008
{'hecke_orbit_code': 49539595934633122, 'n': 9, 'trace_an': 1}
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id: 216553009
{'hecke_orbit_code': 49539595934633122, 'n': 10, 'trace_an': 0}
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id: 216553010
{'hecke_orbit_code': 49539595934633122, 'n': 11, 'trace_an': 1}
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id: 216553011
{'hecke_orbit_code': 49539595934633122, 'n': 12, 'trace_an': 1}
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id: 216553012
{'hecke_orbit_code': 49539595934633122, 'n': 13, 'trace_an': -4}
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id: 216553013
{'hecke_orbit_code': 49539595934633122, 'n': 14, 'trace_an': 0}
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id: 216553014
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