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mf_newforms • Show schema
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{'Nk2': 22464, 'analytic_conductor': 44.84398577515106, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [5616, 2, [703, 4213, 2081, 3889], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 2159, 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 7, 0, 1]], [7, [4, 0, 7, 0, 1]], [11, [4, 7, 1]], [23, [-8, -1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014604701472240, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5616.2.d.e', 'level': 5616, '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, 13], 'level_radical': 78, 'minimal_twist': '5616.2.d.e', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{5}+(-\\beta _{1}+\\beta _{2})q^{7}+(-3-\\beta _{3})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5616.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1677320441044428986, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 22464, 'analytic_conductor': 44.84398577515106, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [5616, 2, [703, 4213, 2081, 3889], [1, 2, 1, 2]], 'conrey_index': 2159, 'cusp_dim': 972, 'dim': 96, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 23], 'hecke_orbit_code': 206191990256, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 16], 'label': '5616.2.d', 'level': 5616, '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, 13], 'level_radical': 78, 'mf_dim': 1044, 'mf_new_dim': 96, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 2016, 'trace_bound': 49, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 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, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1267267
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '5616.2.d.e', 'source_level': 5616, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '5616.2.d.e', 'target_level': 5616, 'twist_class_label': '5616.2.d.e', 'twist_class_level': 5616, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1267268
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '5616.2.d.e', 'source_level': 5616, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '5616.2.d.e', 'target_level': 5616, 'twist_class_label': '5616.2.d.e', 'twist_class_level': 5616, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267269
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '5616.2.d.e', 'source_level': 5616, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '5616.2.d.j', 'target_level': 5616, 'twist_class_label': '5616.2.d.e', 'twist_class_level': 5616, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267270
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '5616.2.d.e', 'source_level': 5616, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '5616.2.d.j', 'target_level': 5616, 'twist_class_label': '5616.2.d.e', 'twist_class_level': 5616, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3950175
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014604701472240, 'p': 2}
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id: 3950176
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014604701472240, 'p': 3}
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id: 3950177
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 5}
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id: 3950178
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 7}
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id: 3950179
{'charpoly_factorization': [[[4, 7, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 11}
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id: 3950180
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 18014604701472240, 'p': 13}
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id: 3950181
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 17}
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id: 3950182
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014604701472240, 'p': 19}
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id: 3950183
{'charpoly_factorization': [[[-8, -1, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 23}
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id: 3950184
{'charpoly_factorization': [[[576, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 29}
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id: 3950185
{'charpoly_factorization': [[[4624, 0, 139, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 31}
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id: 3950186
{'charpoly_factorization': [[[4, -7, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 37}
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id: 3950187
{'charpoly_factorization': [[[1024, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 41}
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id: 3950188
{'charpoly_factorization': [[[99, 0, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 43}
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id: 3950189
{'charpoly_factorization': [[[34, 13, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 47}
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id: 3950190
{'charpoly_factorization': [[[7744, 0, 187, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 53}
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id: 3950191
{'charpoly_factorization': [[[3, -12, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 59}
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id: 3950192
{'charpoly_factorization': [[[-6, -3, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 61}
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id: 3950193
{'charpoly_factorization': [[[9216, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 67}
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id: 3950194
{'charpoly_factorization': [[[-74, 1, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 71}
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id: 3950195
{'charpoly_factorization': [[[16, -14, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 73}
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id: 3950196
{'charpoly_factorization': [[[16, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 79}
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id: 3950197
{'charpoly_factorization': [[[111, -24, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 83}
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id: 3950198
{'charpoly_factorization': [[[1369, 0, 118, 0, 1], 1]], 'hecke_orbit_code': 18014604701472240, 'p': 89}
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id: 3950199
{'charpoly_factorization': [[[-132, 0, 1], 2]], 'hecke_orbit_code': 18014604701472240, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 5, 'label': '5616.2.d.e', 'level': 5616, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 40761913
{'hecke_orbit_code': 18014604701472240, 'n': 1, 'trace_an': 4}
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id: 40761914
{'hecke_orbit_code': 18014604701472240, 'n': 2, 'trace_an': 0}
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id: 40761915
{'hecke_orbit_code': 18014604701472240, 'n': 3, 'trace_an': 0}
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id: 40761916
{'hecke_orbit_code': 18014604701472240, 'n': 4, 'trace_an': 0}
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id: 40761917
{'hecke_orbit_code': 18014604701472240, 'n': 5, 'trace_an': 0}
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id: 40761918
{'hecke_orbit_code': 18014604701472240, 'n': 6, 'trace_an': 0}
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id: 40761919
{'hecke_orbit_code': 18014604701472240, 'n': 7, 'trace_an': 0}
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id: 40761920
{'hecke_orbit_code': 18014604701472240, 'n': 8, 'trace_an': 0}
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id: 40761921
{'hecke_orbit_code': 18014604701472240, 'n': 9, 'trace_an': 0}
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id: 40761922
{'hecke_orbit_code': 18014604701472240, 'n': 10, 'trace_an': 0}
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id: 40761923
{'hecke_orbit_code': 18014604701472240, 'n': 11, 'trace_an': -14}
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id: 40761924
{'hecke_orbit_code': 18014604701472240, 'n': 12, 'trace_an': 0}
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id: 40761925
{'hecke_orbit_code': 18014604701472240, 'n': 13, 'trace_an': 4}
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id: 40761926
{'hecke_orbit_code': 18014604701472240, 'n': 14, 'trace_an': 0}
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id: 40761927
{'hecke_orbit_code': 18014604701472240, 'n': 15, 'trace_an': 0}
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id: 40761928
{'hecke_orbit_code': 18014604701472240, 'n': 16, 'trace_an': 0}
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id: 40761929
{'hecke_orbit_code': 18014604701472240, 'n': 17, 'trace_an': 0}
-
id: 40761930
{'hecke_orbit_code': 18014604701472240, 'n': 18, 'trace_an': 0}
-
id: 40761931
{'hecke_orbit_code': 18014604701472240, 'n': 19, 'trace_an': 0}
-
id: 40761932
{'hecke_orbit_code': 18014604701472240, 'n': 20, 'trace_an': 0}
-
id: 40761933
{'hecke_orbit_code': 18014604701472240, 'n': 21, 'trace_an': 0}
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id: 40761934
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