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{'Nk2': 36864, 'analytic_conductor': 73.590130502812, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [9216, 1, [8191, 2053, 4097], [1, 1, 1]], 'cm_discs': [-4], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-18, 0, 1]], [7, [0, 1]], [11, [0, 1]], [13, [-2, 0, 1]], [17, [8, 1]], [19, [0, 1]], [67, [0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797786624, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '9216.2.a.g', 'level': 9216, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '512.2.e.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3\\beta q^{5}-\\beta q^{13}-8q^{17}+13q^{25}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '9216.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 215413136198749932, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.8973665961010275, 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], [0.3922322702763681, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.9402850002906638, 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], [2.6, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.8382900600361158, 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], [1.1624763874381927, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.2493900951088486, 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], [-1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.9712858623572642, 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], [-0.18107149208503706, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7442084075352507, 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], [0.7022468831767834, 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], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [3.681431946467378, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.05999788000636, 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], [0.8122769321068952, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, -0.44879180882521663, -0.25, -0.25, -0.2185835209054994, -0.4610104348113153, -0.25, -0.25, -0.0644405292045783, -0.25, -0.15128422835562672, -0.35738835626136134, -0.25, -0.25, -0.16929276639145238, -0.25, -0.26442896918815223, -0.25, -0.25, -0.19289987439004594, -0.25, -0.25, -0.16109615775532363, -0.1834375306261717, -0.10913724128472321, -0.25, -0.25, -0.17138678953887118, -0.3644053476825268, -0.25, -0.25, -0.30550862922749994, -0.25, -0.22220005610710739, -0.25, -0.4544734990721256, -0.25, -0.25, -0.10070510482623553, -0.25, -0.49163114582171297, -0.25, -0.4159543412124187, -0.1363489354999302, -0.25, -0.25, -0.25, -0.25, -0.3539037684205793, -0.0877986173506914, -0.25, -0.20852384117184014, -0.25, -0.25993426215277043, -0.25, -0.4793572000800764, -0.25, -0.28406881591081223, -0.2982056239896148, -0.25, -0.3936384355771026, -0.25, -0.25, -0.36863719432600406, -0.48099229607602517, -0.25, -0.16845068460335758, -0.25, -0.4181225305465396, -0.07000312123743076, -0.25, -0.25, -0.184029181964259, -0.25, -0.25, -0.04037348633483367, -0.4236821343714524, -0.4920488743719118, -0.023696571138744814, -0.25, -0.4945140721919945, -0.25, -0.3478266471338686, -0.25, -0.25, -0.4464165382800313, -0.22004361703454833, -0.20210705722516673, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.16056740573690764, -0.4199700173806304, -0.25, -0.05426848593924551], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.4142135623730951, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797786624, 'label': '9216.2.a.g.1.1', 'level': 9216, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [28, 48, 36, 44], 'ALdims_eis_new': [0, 4, 0, 4], 'ALdims_eis_old': [47, 44, 48, 44], 'ALdims_old': [325, 320, 332, 308], 'Nk2': 36864, 'analytic_conductor': 73.590130502812, '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': [9216, 1, [8191, 2053, 4097], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1441, 'dim': 156, 'eis_dim': 191, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7, 11, 13, 17, 19, 67], 'hecke_orbit_code': 33563648, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], 'label': '9216.2.a', 'level': 9216, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 1632, 'mf_new_dim': 164, 'num_forms': 46, 'plus_dim': 72, 'prim_orbit_index': 1, 'relative_dim': 156, 'sturm_bound': 3072, 'trace_bound': 67, 'trace_display': [0, 0, 0, 0], 'traces': [156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 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, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 128, 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, 8, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 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, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45635043
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.1', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45635044
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45635045
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.1', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45635046
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.2', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45635047
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.2', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45635048
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45635049
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45635050
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45635051
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45635052
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45635053
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45635054
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45635055
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45635056
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 45635057
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45635058
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45635059
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45635060
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45635061
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45635062
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45635063
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45635064
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45635065
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45635066
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45635067
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 45635068
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45635069
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 45635070
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797786624, 'source_is_minimal': False, 'source_label': '9216.2.a.g.1.1', 'source_level': 9216, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4966750
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 2}
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id: 4966751
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 3}
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id: 4966752
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 27021597797786624, 'p': 5}
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id: 4966753
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 7}
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id: 4966754
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 11}
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id: 4966755
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 27021597797786624, 'p': 13}
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id: 4966756
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 17}
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id: 4966757
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 19}
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id: 4966758
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 23}
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id: 4966759
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 27021597797786624, 'p': 29}
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id: 4966760
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 31}
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id: 4966761
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 27021597797786624, 'p': 37}
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id: 4966762
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 41}
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id: 4966763
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 43}
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id: 4966764
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 47}
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id: 4966765
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 27021597797786624, 'p': 53}
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id: 4966766
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 59}
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id: 4966767
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 27021597797786624, 'p': 61}
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id: 4966768
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 67}
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id: 4966769
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 71}
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id: 4966770
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 73}
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id: 4966771
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 79}
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id: 4966772
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 83}
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id: 4966773
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 89}
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id: 4966774
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 27021597797786624, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '9216.2.a.g', 'level': 9216, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 46369543
{'hecke_orbit_code': 27021597797786624, 'n': 1, 'trace_an': 2}
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id: 46369544
{'hecke_orbit_code': 27021597797786624, 'n': 2, 'trace_an': 0}
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id: 46369545
{'hecke_orbit_code': 27021597797786624, 'n': 3, 'trace_an': 0}
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id: 46369546
{'hecke_orbit_code': 27021597797786624, 'n': 4, 'trace_an': 0}
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id: 46369547
{'hecke_orbit_code': 27021597797786624, 'n': 5, 'trace_an': 0}
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id: 46369548
{'hecke_orbit_code': 27021597797786624, 'n': 6, 'trace_an': 0}
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id: 46369549
{'hecke_orbit_code': 27021597797786624, 'n': 7, 'trace_an': 0}
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id: 46369550
{'hecke_orbit_code': 27021597797786624, 'n': 8, 'trace_an': 0}
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id: 46369551
{'hecke_orbit_code': 27021597797786624, 'n': 9, 'trace_an': 0}
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id: 46369552
{'hecke_orbit_code': 27021597797786624, 'n': 10, 'trace_an': 0}
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id: 46369553
{'hecke_orbit_code': 27021597797786624, 'n': 11, 'trace_an': 0}
-
id: 46369554
{'hecke_orbit_code': 27021597797786624, 'n': 12, 'trace_an': 0}
-
id: 46369555
{'hecke_orbit_code': 27021597797786624, 'n': 13, 'trace_an': 0}
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id: 46369556
{'hecke_orbit_code': 27021597797786624, 'n': 14, 'trace_an': 0}
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id: 46369557
{'hecke_orbit_code': 27021597797786624, 'n': 15, 'trace_an': 0}
-
id: 46369558
{'hecke_orbit_code': 27021597797786624, 'n': 16, 'trace_an': 0}
-
id: 46369559
{'hecke_orbit_code': 27021597797786624, 'n': 17, 'trace_an': -16}
-
id: 46369560
{'hecke_orbit_code': 27021597797786624, 'n': 18, 'trace_an': 0}
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