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{'Nk2': 5220, 'analytic_conductor': 10.42047746377709, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [29, -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': [1305, 1, [146, 262, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 48414406912, 'field_disc_factorization': [[2, 8], [59, 1], [3205403, 1]], 'field_poly': [18, -35, -37, 47, 12, -13, -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': [[2, [-18, -35, 37, 47, -12, -13, 1, 1]], [7, [520, 956, -400, -280, 114, 15, -10, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224665, 'hecke_ring_generator_nbound': 7, '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': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1305.2.a.s', 'level': 1305, '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': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '1305.2.a.s', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}-q^{5}+(1-\\beta _{5}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1305.2.a', 'trace_display': [-1, 0, -7, 10], 'trace_hash': 1377729939923530381, 'trace_moments': [{'__RealLiteral__': 0, 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-0.1049319756280092], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.8974363702305959, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224665, 'label': '1305.2.a.s.1.5', 'level': 1305, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 7, 7, 3, 8, 6, 6, 8], 'Nk2': 5220, 'analytic_conductor': 10.42047746377709, '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': [1305, 1, [146, 262, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 173, 'dim': 48, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33555737, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 7, 7], 'label': '1305.2.a', 'level': 1305, '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': [3, 5, 29], 'level_radical': 435, 'mf_dim': 188, 'mf_new_dim': 48, 'num_forms': 20, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 360, 'trace_bound': 7, 'trace_display': [2, 0, 0, 4], 'traces': [48, 2, 0, 56, 0, 0, 4, 6, 0, 2, -4, 0, 8, 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-16, 0, 424, 24, 0, -92, 480, 0, -6], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48170686
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 81064793326224665, 'source_is_minimal': True, 'source_label': '1305.2.a.s.1.5', 'source_level': 1305, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 81064793326224665, 'target_is_minimal': True, 'target_label': '1305.2.a.s.1.5', 'target_level': 1305, 'twist_class_label': '1305.2.a.s.1.5', 'twist_class_level': 1305, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48170687
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 81064793326224665, 'source_is_minimal': True, 'source_label': '1305.2.a.s.1.5', 'source_level': 1305, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953595161, 'target_is_minimal': True, 'target_label': '1305.2.a.t.1.3', 'target_level': 1305, 'twist_class_label': '1305.2.a.s.1.5', 'twist_class_level': 1305, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48170688
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 81064793326224665, 'source_is_minimal': True, 'source_label': '1305.2.a.s.1.5', 'source_level': 1305, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 216172782147344765, 'target_is_minimal': False, 'target_label': '6525.2.a.bw.1.3', 'target_level': 6525, 'twist_class_label': '1305.2.a.s.1.5', 'twist_class_level': 1305, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48170689
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 81064793326224665, 'source_is_minimal': True, 'source_label': '1305.2.a.s.1.5', 'source_level': 1305, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 211669182519974269, 'target_is_minimal': False, 'target_label': '6525.2.a.bv.1.5', 'target_level': 6525, 'twist_class_label': '1305.2.a.s.1.5', 'twist_class_level': 1305, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1849825
{'charpoly_factorization': [[[-18, -35, 37, 47, -12, -13, 1, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 2}
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id: 1849826
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 81064793326224665, 'p': 3}
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id: 1849827
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 81064793326224665, 'p': 5}
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id: 1849828
{'charpoly_factorization': [[[520, 956, -400, -280, 114, 15, -10, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 7}
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id: 1849829
{'charpoly_factorization': [[[12, -1588, -168, 480, 51, -41, -3, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 11}
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id: 1849830
{'charpoly_factorization': [[[1408, -816, -1088, 344, 176, -35, -6, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 13}
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id: 1849831
{'charpoly_factorization': [[[-384, 1088, 1632, -48, -254, -23, 8, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 17}
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id: 1849832
{'charpoly_factorization': [[[6656, 2368, -3304, -76, 344, -20, -10, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 19}
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id: 1849833
{'charpoly_factorization': [[[4752, 1552, -3604, -2684, -616, -16, 11, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 23}
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id: 1849834
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 81064793326224665, 'p': 29}
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id: 1849835
{'charpoly_factorization': [[[-1408, 1984, 888, -1612, 216, 76, -18, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 31}
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id: 1849836
{'charpoly_factorization': [[[-3328, 10624, -7504, -560, 712, -32, -13, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 37}
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id: 1849837
{'charpoly_factorization': [[[2496, 14720, -5744, -2160, 980, -48, -13, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 41}
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id: 1849838
{'charpoly_factorization': [[[-171008, -227328, -30720, 9792, 1108, -164, -9, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 43}
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id: 1849839
{'charpoly_factorization': [[[23040, -93952, 8832, 7648, -366, -177, 2, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 47}
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id: 1849840
{'charpoly_factorization': [[[-734208, -175744, 47952, 10992, -968, -200, 5, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 53}
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id: 1849841
{'charpoly_factorization': [[[-49152, -40192, -4096, 3072, 448, -84, -8, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 59}
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id: 1849842
{'charpoly_factorization': [[[2422656, -1627200, -270624, 36592, 3720, -316, -14, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 61}
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id: 1849843
{'charpoly_factorization': [[[366536, -22740, -47232, 2968, 1730, -117, -14, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 67}
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id: 1849844
{'charpoly_factorization': [[[-245760, -244736, -37376, 13376, 1408, -224, -8, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 71}
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id: 1849845
{'charpoly_factorization': [[[2022656, -416256, -225152, 37952, 1748, -376, -3, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 73}
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id: 1849846
{'charpoly_factorization': [[[27712, -3920, -14000, 3748, 624, -152, -4, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 79}
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id: 1849847
{'charpoly_factorization': [[[52800, -318112, 240884, 16852, -4740, -284, 17, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 83}
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id: 1849848
{'charpoly_factorization': [[[26400, -20528, -11024, 6088, 1930, -79, -20, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 89}
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id: 1849849
{'charpoly_factorization': [[[249856, -136704, -64064, 10560, 2000, -184, -13, 1], 1]], 'hecke_orbit_code': 81064793326224665, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1305.2.a.s', 'level': 1305, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62873545
{'hecke_orbit_code': 81064793326224665, 'n': 1, 'trace_an': 7}
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id: 62873546
{'hecke_orbit_code': 81064793326224665, 'n': 2, 'trace_an': -1}
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id: 62873547
{'hecke_orbit_code': 81064793326224665, 'n': 3, 'trace_an': 0}
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id: 62873548
{'hecke_orbit_code': 81064793326224665, 'n': 4, 'trace_an': 13}
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id: 62873549
{'hecke_orbit_code': 81064793326224665, 'n': 5, 'trace_an': -7}
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id: 62873550
{'hecke_orbit_code': 81064793326224665, 'n': 6, 'trace_an': 0}
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id: 62873551
{'hecke_orbit_code': 81064793326224665, 'n': 7, 'trace_an': 10}
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