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{'Nk2': 25536, 'analytic_conductor': 50.9764966503854, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [19, 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': [6384, 1, [799, 4789, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[5, [4, 0, -4, 1]], [11, [16, -16, 0, 1]], [13, [8, -4, -6, 1]], [17, [-4, 16, -8, 1]], [23, [400, -80, -4, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774715120, 'hecke_ring_generator_nbound': 5, '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': '6384.2.a.bx', 'level': 6384, '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, 7, 19], 'level_radical': 798, 'minimal_twist': '399.2.a.d', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1+\\beta _{1})q^{5}+q^{7}+q^{9}+(\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6384.2.a', 'trace_display': [0, 3, 4, 3], 'trace_hash': 2293475479714512341, 'trace_moments': 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mf_newspaces • Show schema
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{'ALdims': [8, 6, 7, 7, 7, 7, 6, 8, 8, 6, 4, 8, 5, 9, 9, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [64, 77, 78, 66, 79, 67, 66, 76, 70, 76, 76, 68, 74, 66, 68, 78], 'Nk2': 25536, 'analytic_conductor': 50.9764966503854, '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': [6384, 1, [799, 4789, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1257, 'dim': 108, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 23], 'hecke_orbit_code': 33560816, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '6384.2.a', 'level': 6384, '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, 7, 19], 'level_radical': 798, 'mf_dim': 1304, 'mf_new_dim': 108, 'num_forms': 58, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 108, 'sturm_bound': 2560, 'trace_bound': 25, 'trace_display': [0, 0, -8, -4], 'traces': [108, 0, 0, 0, -8, 0, -4, 0, 108, 0, -8, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 116, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, -16, 0, 8, 0, -16, 0, -8, 0, 48, 0, 108, 0, 0, 0, 8, 0, -32, 0, 0, 0, 48, 0, -8, 0, -4, 0, 48, 0, -8, 0, 0, 0, -8, 0, 40, 0, -32, 0, 16, 0, 40, 0, 108, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, -40, 0, -32, 0, 0, 0, 40, 0, -24, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, 108, 0, 24, 0, -48, 0, 40, 0, -32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 16, 0, 0, 0, 48, 0, 16, 0, 0, 0, -24, 0, -8, 0, 8, 0, 0, 0, 56, 0, 48, 0, 32, 0, 16, 0, 64, 0, 48, 0, 68, 0, 0, 0, -8, 0, -28, 0, -16, 0, -8, 0, 24, 0, -32, 0, 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0, 16, 0, -32, 0, 88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49035650
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 220676381774715120, 'target_is_minimal': False, 'target_label': '6384.2.a.bx.1.3', 'target_level': 6384, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49035651
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798915666319, 'target_is_minimal': True, 'target_label': '399.2.a.d.1.3', 'target_level': 399, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49035652
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631085, 'target_is_minimal': False, 'target_label': '1197.2.a.l.1.1', 'target_level': 1197, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49035653
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717826807, 'target_is_minimal': False, 'target_label': '9975.2.a.z.1.1', 'target_level': 9975, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49035654
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463078633, 'target_is_minimal': False, 'target_label': '2793.2.a.x.1.3', 'target_level': 2793, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49035655
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189378461, 'target_is_minimal': False, 'target_label': '7581.2.a.n.1.1', 'target_level': 7581, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 49035656
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715120, 'source_is_minimal': False, 'source_label': '6384.2.a.bx.1.3', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755753147, 'target_is_minimal': False, 'target_label': '8379.2.a.bp.1.1', 'target_level': 8379, 'twist_class_label': '399.2.a.d.1.3', 'twist_class_level': 399, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4173025
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 220676381774715120, 'p': 2}
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id: 4173026
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774715120, 'p': 3}
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id: 4173027
{'charpoly_factorization': [[[4, 0, -4, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 5}
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id: 4173028
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774715120, 'p': 7}
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id: 4173029
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 11}
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id: 4173030
{'charpoly_factorization': [[[8, -4, -6, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 13}
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id: 4173031
{'charpoly_factorization': [[[-4, 16, -8, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 17}
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id: 4173032
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 220676381774715120, 'p': 19}
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id: 4173033
{'charpoly_factorization': [[[400, -80, -4, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 23}
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id: 4173034
{'charpoly_factorization': [[[-244, 124, -20, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 29}
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id: 4173035
{'charpoly_factorization': [[[-304, -40, 8, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 31}
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id: 4173036
{'charpoly_factorization': [[[-136, -20, 10, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 37}
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id: 4173037
{'charpoly_factorization': [[[296, 12, -14, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 41}
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id: 4173038
{'charpoly_factorization': [[[304, -40, -8, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 43}
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id: 4173039
{'charpoly_factorization': [[[76, -88, 6, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 47}
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id: 4173040
{'charpoly_factorization': [[[116, -28, -4, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 53}
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id: 4173041
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 220676381774715120, 'p': 59}
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id: 4173042
{'charpoly_factorization': [[[152, 12, -14, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 61}
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id: 4173043
{'charpoly_factorization': [[[-32, -32, -4, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 67}
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id: 4173044
{'charpoly_factorization': [[[268, -92, 2, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 71}
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id: 4173045
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 73}
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id: 4173046
{'charpoly_factorization': [[[1280, -64, -16, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 79}
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id: 4173047
{'charpoly_factorization': [[[964, -88, -14, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 83}
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id: 4173048
{'charpoly_factorization': [[[296, 12, -14, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 89}
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id: 4173049
{'charpoly_factorization': [[[1864, -180, -10, 1], 1]], 'hecke_orbit_code': 220676381774715120, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '6384.2.a.bx', 'level': 6384, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71520157
{'hecke_orbit_code': 220676381774715120, 'n': 1, 'trace_an': 3}
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id: 71520158
{'hecke_orbit_code': 220676381774715120, 'n': 2, 'trace_an': 0}
-
id: 71520159
{'hecke_orbit_code': 220676381774715120, 'n': 3, 'trace_an': 3}
-
id: 71520160
{'hecke_orbit_code': 220676381774715120, 'n': 4, 'trace_an': 0}
-
id: 71520161
{'hecke_orbit_code': 220676381774715120, 'n': 5, 'trace_an': 4}
-
id: 71520162
{'hecke_orbit_code': 220676381774715120, 'n': 6, 'trace_an': 0}
-
id: 71520163
{'hecke_orbit_code': 220676381774715120, 'n': 7, 'trace_an': 3}
-
id: 71520164
{'hecke_orbit_code': 220676381774715120, 'n': 8, 'trace_an': 0}
-
id: 71520165
{'hecke_orbit_code': 220676381774715120, 'n': 9, 'trace_an': 3}
-
id: 71520166
{'hecke_orbit_code': 220676381774715120, 'n': 10, 'trace_an': 0}
-
id: 71520167
{'hecke_orbit_code': 220676381774715120, 'n': 11, 'trace_an': 0}
-
id: 71520168
{'hecke_orbit_code': 220676381774715120, 'n': 12, 'trace_an': 0}
-
id: 71520169
{'hecke_orbit_code': 220676381774715120, 'n': 13, 'trace_an': 6}
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id: 71520170
{'hecke_orbit_code': 220676381774715120, 'n': 14, 'trace_an': 0}
-
id: 71520171
{'hecke_orbit_code': 220676381774715120, 'n': 15, 'trace_an': 4}
-
id: 71520172
{'hecke_orbit_code': 220676381774715120, 'n': 16, 'trace_an': 0}
-
id: 71520173
{'hecke_orbit_code': 220676381774715120, 'n': 17, 'trace_an': 8}
-
id: 71520174
{'hecke_orbit_code': 220676381774715120, 'n': 18, 'trace_an': 0}
-
id: 71520175
{'hecke_orbit_code': 220676381774715120, 'n': 19, 'trace_an': -3}
-
id: 71520176
{'hecke_orbit_code': 220676381774715120, 'n': 20, 'trace_an': 0}
-
id: 71520177
{'hecke_orbit_code': 220676381774715120, 'n': 21, 'trace_an': 3}
-
id: 71520178
{'hecke_orbit_code': 220676381774715120, 'n': 22, 'trace_an': 0}
-
id: 71520179
{'hecke_orbit_code': 220676381774715120, 'n': 23, 'trace_an': 4}
-
id: 71520180
{'hecke_orbit_code': 220676381774715120, 'n': 24, 'trace_an': 0}
-
id: 71520181
{'hecke_orbit_code': 220676381774715120, 'n': 25, 'trace_an': 1}
-
id: 71520182
{'hecke_orbit_code': 220676381774715120, 'n': 26, 'trace_an': 0}
-
id: 71520183
{'hecke_orbit_code': 220676381774715120, 'n': 27, 'trace_an': 3}
-
id: 71520184
{'hecke_orbit_code': 220676381774715120, 'n': 28, 'trace_an': 0}
-
id: 71520185
{'hecke_orbit_code': 220676381774715120, 'n': 29, 'trace_an': 20}
-
id: 71520186
{'hecke_orbit_code': 220676381774715120, 'n': 30, 'trace_an': 0}
-
id: 71520187
{'hecke_orbit_code': 220676381774715120, 'n': 31, 'trace_an': -8}
-
id: 71520188
{'hecke_orbit_code': 220676381774715120, 'n': 32, 'trace_an': 0}
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id: 71520414
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