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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 129, 'field_disc_factorization': [[3, 1], [43, 1]], 'field_poly': [-32, -1, 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, [-1160, -2, 1]], [11, [1240, 74, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985161929904, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1200.4.a.bo', 'level': 1200, '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], 'level_radical': 30, 'minimal_twist': '120.4.f.d', 'nf_label': '2.2.129.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+(1+3\\beta )q^{7}+9q^{9}+(-37+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.4.a', 'trace_display': [0, -6, 0, 2], 'trace_hash': 822192517765864597, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [8, 7, 5, 9, 7, 7, 7, 7], 'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 57, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67110064, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1200.4.a', 'level': 1200, '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], 'level_radical': 30, 'mf_dim': 756, 'mf_new_dim': 57, 'num_forms': 47, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 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mf_twists_cc • Show schema
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id: 48946125
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985161929904, 'target_is_minimal': False, 'target_label': '1200.4.a.bo.1.1', 'target_level': 1200, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48946126
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592241889880, 'target_is_minimal': False, 'target_label': '600.4.a.v.1.2', 'target_level': 600, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48946127
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021941428715760, 'target_is_minimal': False, 'target_label': '240.4.f.g.49.4', 'target_level': 240, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48946128
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941428715760, 'target_is_minimal': False, 'target_label': '240.4.f.g.49.2', 'target_level': 240, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48946129
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184416670896, 'target_is_minimal': False, 'target_label': '1200.4.a.bq.1.2', 'target_level': 1200, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48946130
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186279819016, 'target_is_minimal': False, 'target_label': '1800.4.a.bl.1.2', 'target_level': 1800, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48946131
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140683457232, 'target_is_minimal': False, 'target_label': '720.4.f.i.289.2', 'target_level': 720, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48946132
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140683457232, 'target_is_minimal': False, 'target_label': '720.4.f.i.289.1', 'target_level': 720, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 48946133
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511142546604152, 'target_is_minimal': True, 'target_label': '120.4.f.d.49.4', 'target_level': 120, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48946134
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142546604152, 'target_is_minimal': True, 'target_label': '120.4.f.d.49.2', 'target_level': 120, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48946135
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987148888, 'target_is_minimal': False, 'target_label': '600.4.a.t.1.1', 'target_level': 600, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48946136
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547138820309952, 'target_is_minimal': False, 'target_label': '960.4.f.n.769.1', 'target_level': 960, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48946137
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050738447680448, 'target_is_minimal': False, 'target_label': '960.4.f.o.769.3', 'target_level': 960, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48946138
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547138820309952, 'target_is_minimal': False, 'target_label': '960.4.f.n.769.3', 'target_level': 960, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48946139
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050738447680448, 'target_is_minimal': False, 'target_label': '960.4.f.o.769.1', 'target_level': 960, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 48946140
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142546604392, 'target_is_minimal': False, 'target_label': '360.4.f.d.289.1', 'target_level': 360, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48946141
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142546604392, 'target_is_minimal': False, 'target_label': '360.4.f.d.289.2', 'target_level': 360, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48946142
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985161929904, 'source_is_minimal': False, 'source_label': '1200.4.a.bo.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385534560008, 'target_is_minimal': False, 'target_label': '1800.4.a.bn.1.1', 'target_level': 1800, 'twist_class_label': '120.4.f.d.49.2', 'twist_class_level': 120, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1764575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985161929904, 'p': 2}
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id: 1764576
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 180143985161929904, 'p': 3}
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id: 1764577
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985161929904, 'p': 5}
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id: 1764578
{'charpoly_factorization': [[[-1160, -2, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 7}
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id: 1764579
{'charpoly_factorization': [[[1240, 74, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 11}
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id: 1764580
{'charpoly_factorization': [[[2272, -98, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 13}
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id: 1764581
{'charpoly_factorization': [[[-1704, 78, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 17}
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id: 1764582
{'charpoly_factorization': [[[-6656, -80, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 19}
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id: 1764583
{'charpoly_factorization': [[[-7856, 40, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 23}
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id: 1764584
{'charpoly_factorization': [[[-5696, -50, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 29}
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id: 1764585
{'charpoly_factorization': [[[-41760, -12, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 31}
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id: 1764586
{'charpoly_factorization': [[[-80336, 34, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 37}
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id: 1764587
{'charpoly_factorization': [[[24940, -344, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 41}
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id: 1764588
{'charpoly_factorization': [[[108, 1], 2]], 'hecke_orbit_code': 180143985161929904, 'p': 43}
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id: 1764589
{'charpoly_factorization': [[[166560, 876, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 47}
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id: 1764590
{'charpoly_factorization': [[[100360, 634, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 53}
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id: 1764591
{'charpoly_factorization': [[[-198840, 666, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 59}
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id: 1764592
{'charpoly_factorization': [[[-117212, -244, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 61}
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id: 1764593
{'charpoly_factorization': [[[90976, -980, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 67}
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id: 1764594
{'charpoly_factorization': [[[-162560, 308, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 71}
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id: 1764595
{'charpoly_factorization': [[[312160, 1412, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 73}
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id: 1764596
{'charpoly_factorization': [[[251392, 1052, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 79}
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id: 1764597
{'charpoly_factorization': [[[-17648, 248, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 83}
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id: 1764598
{'charpoly_factorization': [[[-180252, -684, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 89}
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id: 1764599
{'charpoly_factorization': [[[714304, 1840, 1], 1]], 'hecke_orbit_code': 180143985161929904, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '1200.4.a.bo', 'level': 1200, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 70663855
{'hecke_orbit_code': 180143985161929904, 'n': 1, 'trace_an': 2}
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id: 70663856
{'hecke_orbit_code': 180143985161929904, 'n': 2, 'trace_an': 0}
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id: 70663857
{'hecke_orbit_code': 180143985161929904, 'n': 3, 'trace_an': -6}
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id: 70663858
{'hecke_orbit_code': 180143985161929904, 'n': 4, 'trace_an': 0}
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id: 70663859
{'hecke_orbit_code': 180143985161929904, 'n': 5, 'trace_an': 0}
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id: 70663860
{'hecke_orbit_code': 180143985161929904, 'n': 6, 'trace_an': 0}
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id: 70663861
{'hecke_orbit_code': 180143985161929904, 'n': 7, 'trace_an': 2}
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id: 70663862
{'hecke_orbit_code': 180143985161929904, 'n': 8, 'trace_an': 0}
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id: 70663863
{'hecke_orbit_code': 180143985161929904, 'n': 9, 'trace_an': 18}
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id: 70663864
{'hecke_orbit_code': 180143985161929904, 'n': 10, 'trace_an': 0}
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id: 70663865
{'hecke_orbit_code': 180143985161929904, 'n': 11, 'trace_an': -74}
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id: 70663866
{'hecke_orbit_code': 180143985161929904, 'n': 12, 'trace_an': 0}
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id: 70663867
{'hecke_orbit_code': 180143985161929904, 'n': 13, 'trace_an': 98}
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id: 70663868
{'hecke_orbit_code': 180143985161929904, 'n': 14, 'trace_an': 0}
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id: 70663869
{'hecke_orbit_code': 180143985161929904, 'n': 15, 'trace_an': 0}
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id: 70663870
{'hecke_orbit_code': 180143985161929904, 'n': 16, 'trace_an': 0}
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id: 70663871
{'hecke_orbit_code': 180143985161929904, 'n': 17, 'trace_an': -78}
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id: 70663872
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