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mf_newforms • Show schema
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{'Nk2': 2116, 'analytic_conductor': 4.224086266925732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 11, 'char_parity': 1, 'char_values': [529, 11, [5], [8]], 'cm_discs': [], 'conrey_index': 118, 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -3, 20, -71, 125, -78, 36, -9, 5, -4, 1]], [5, [529, 598, 742, 350, 201, 1, -18, -28, -2, 3, 1]], [7, [529, -805, 1346, -1064, 621, -142, -35, 4, 14, -6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936354619921, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 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': False, 'label': '529.2.c.d', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'minimal_twist': '23.2.c.a', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\zeta_{22}^{2}-\\zeta_{22}^{3}+\\zeta_{22}^{4}-\\zeta_{22}^{5}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '529.2.c', 'trace_display': [4, -7, -3, 6], 'trace_hash': 939965755105039620, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.090', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 2116, 'analytic_conductor': 4.224086266925732, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 11, 'char_parity': 1, 'char_values': [529, 11, [5], [8]], 'conrey_index': 118, 'cusp_dim': 340, 'dim': 320, 'eis_dim': 240, 'eis_new_dim': 200, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 137472508433, 'hecke_orbit_dims': [10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 20, 20, 20, 20, 20, 30, 40, 40], 'label': '529.2.c', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'mf_dim': 580, 'mf_new_dim': 520, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 92, 'trace_bound': 7, 'trace_display': [7, 7, 3, 5], 'traces': [320, 7, 7, -19, 3, -9, 5, -7, -9, -1, -7, -15, 3, -9, -12, -1, 10, 11, -2, 9, 2, 6, 0, -122, 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mf_twists_cc • Show schema
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id: 43060574
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 255, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619921, 'target_is_minimal': False, 'target_label': '529.2.c.d.255.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43060575
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 399, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472401, 'target_is_minimal': False, 'target_label': '529.2.c.i.399.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43060576
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 501, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236731409, 'target_is_minimal': False, 'target_label': '529.2.c.g.501.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43060577
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 170, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236731409, 'target_is_minimal': False, 'target_label': '529.2.c.g.170.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43060578
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508433, 'target_is_minimal': False, 'target_label': '529.2.c.a.487.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43060579
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 118, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472401, 'target_is_minimal': False, 'target_label': '529.2.c.i.118.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43060580
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 466, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508433, 'target_is_minimal': False, 'target_label': '529.2.c.a.466.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43060581
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 266, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878929, 'target_is_minimal': False, 'target_label': '529.2.c.b.266.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43060582
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052518929, 'target_is_minimal': False, 'target_label': '529.2.a.i.1.3', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43060583
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 177, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249425, 'target_is_minimal': False, 'target_label': '529.2.c.c.177.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43060584
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 334, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990417, 'target_is_minimal': False, 'target_label': '529.2.c.e.334.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43060585
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 334, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619921, 'target_is_minimal': False, 'target_label': '529.2.c.d.334.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 43060586
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 177, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878929, 'target_is_minimal': False, 'target_label': '529.2.c.b.177.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43060587
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889425, 'target_is_minimal': False, 'target_label': '529.2.a.j.1.3', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43060588
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 266, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249425, 'target_is_minimal': False, 'target_label': '529.2.c.c.266.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 43060589
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 6, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507927, 'target_is_minimal': True, 'target_label': '23.2.c.a.6.1', 'target_level': 23, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 43060590
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 118, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334864101905, 'target_is_minimal': False, 'target_label': '529.2.c.h.118.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43060591
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 4, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507927, 'target_is_minimal': True, 'target_label': '23.2.c.a.4.1', 'target_level': 23, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 43060592
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 170, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609360913, 'target_is_minimal': False, 'target_label': '529.2.c.f.170.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43060593
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 501, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609360913, 'target_is_minimal': False, 'target_label': '529.2.c.f.501.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43060594
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 399, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334864101905, 'target_is_minimal': False, 'target_label': '529.2.c.h.399.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 43060595
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 255, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990417, 'target_is_minimal': False, 'target_label': '529.2.c.e.255.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43060596
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501008537, 'target_is_minimal': False, 'target_label': '4761.2.a.bn.1.3', 'target_level': 4761, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '69.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43060597
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 180143985128379033, 'target_is_minimal': False, 'target_label': '4761.2.a.bo.1.3', 'target_level': 4761, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '69.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43060598
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 73, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109519, 'target_is_minimal': False, 'target_label': '207.2.i.c.73.1', 'target_level': 207, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '69.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 43060599
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 190, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109519, 'target_is_minimal': False, 'target_label': '207.2.i.c.190.1', 'target_level': 207, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '69.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 43060600
{'conductor': 92, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 305, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016624, 'target_is_minimal': False, 'target_label': '368.2.m.c.305.1', 'target_level': 368, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '92.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 43060601
{'conductor': 92, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637864720, 'target_is_minimal': False, 'target_label': '8464.2.a.bs.1.1', 'target_level': 8464, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '92.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 43060602
{'conductor': 92, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265235216, 'target_is_minimal': False, 'target_label': '8464.2.a.bt.1.1', 'target_level': 8464, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '92.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 43060603
{'conductor': 92, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 257, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016624, 'target_is_minimal': False, 'target_label': '368.2.m.c.257.1', 'target_level': 368, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '92.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 43060604
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 349, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.349.2', 'target_level': 575, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '115.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 43060605
{'conductor': 115, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 351, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692863, 'target_is_minimal': False, 'target_label': '575.2.k.b.351.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '115.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 43060606
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 374, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.374.2', 'target_level': 575, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '115.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 43060607
{'conductor': 115, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 326, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692863, 'target_is_minimal': False, 'target_label': '575.2.k.b.326.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '115.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 43060608
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 349, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.349.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '115.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 43060609
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': -1, 'source_conrey_index': 255, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354619921, 'source_is_minimal': False, 'source_label': '529.2.c.d.255.1', 'source_level': 529, 'target_conrey_index': 374, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.374.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.4.1', 'twist_class_level': 23, 'twisting_char_label': '115.108', 'twisting_conrey_index': 108, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1012300
{'charpoly_factorization': [[[1, -3, 20, -71, 125, -78, 36, -9, 5, -4, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 2}
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id: 1012301
{'charpoly_factorization': [[[1, 8, 20, 28, 103, 142, 124, 68, 27, 7, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 3}
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id: 1012302
{'charpoly_factorization': [[[529, 598, 742, 350, 201, 1, -18, -28, -2, 3, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 5}
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id: 1012303
{'charpoly_factorization': [[[529, -805, 1346, -1064, 621, -142, -35, 4, 14, -6, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 7}
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id: 1012304
{'charpoly_factorization': [[[529, -4485, 14859, -14284, 8353, -3013, 883, -211, 38, -7, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 11}
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id: 1012305
{'charpoly_factorization': [[[1, 15, 126, 570, 861, -934, 499, -160, 42, -8, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 13}
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id: 1012306
{'charpoly_factorization': [[[529, -3312, 12497, 1000, 6986, 1022, 1167, -89, -43, -1, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 17}
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id: 1012307
{'charpoly_factorization': [[[541696, -11776, 62208, 35072, 8512, -3552, -688, -8, 48, -2, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 19}
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id: 1012308
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 13510936354619921, 'p': 23}
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id: 1012309
{'charpoly_factorization': [[[4932841, -2092182, 633066, 51295, 17647, 1682, -414, 83, 42, 8, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 29}
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id: 1012310
{'charpoly_factorization': [[[17161, 7074, 6139, 683, -285, 430, 606, 298, 78, 12, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 31}
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id: 1012311
{'charpoly_factorization': [[[529, 17871, 354117, -254142, 118231, -39205, 10003, -1985, 284, -25, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 37}
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id: 1012312
{'charpoly_factorization': [[[1849, -1075, 8611, 9850, 14744, 11958, 5679, 1626, 280, 26, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 41}
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id: 1012313
{'charpoly_factorization': [[[64009, -108537, 123541, -86273, 44044, -17567, 5566, -1331, 220, -22, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 43}
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id: 1012314
{'charpoly_factorization': [[[1, -106, -97, -5, 9, 1], 2]], 'hecke_orbit_code': 13510936354619921, 'p': 47}
-
id: 1012315
{'charpoly_factorization': [[[517426009, 320709953, 122227037, 35754581, 8197754, 1423643, 183824, 17279, 1138, 48, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 53}
-
id: 1012316
{'charpoly_factorization': [[[4489, 93532, 1142450, -423787, 209254, -41581, 5600, -133, -65, -1, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 59}
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id: 1012317
{'charpoly_factorization': [[[529, -4393, 275181, -513797, 385850, -154661, 40990, -6671, 658, -36, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 61}
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id: 1012318
{'charpoly_factorization': [[[1113757129, 388795450, 104349598, 16463787, 2100583, 183391, 9230, -199, -21, 10, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 67}
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id: 1012319
{'charpoly_factorization': [[[529, -1932, 2975, -2345, 1213, -1132, 906, 214, 86, 14, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 71}
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id: 1012320
{'charpoly_factorization': [[[982081, 1791728, 3040922, 1460721, 321456, 45365, 6560, 731, 31, 3, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 73}
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id: 1012321
{'charpoly_factorization': [[[517426009, -542538697, 240079244, -50760034, 6322540, -696277, 75199, -5590, 390, -18, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 79}
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id: 1012322
{'charpoly_factorization': [[[529, -1702, -750, 3316, 5482, 3004, 2346, 867, 225, 15, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 83}
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id: 1012323
{'charpoly_factorization': [[[78310985281, 4293040781, 216876775, 123422048, 12326229, 741267, 95121, 7519, 350, 19, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 89}
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id: 1012324
{'charpoly_factorization': [[[2374681, -12999876, 23055209, -12702282, 4165492, -861090, 116183, -9371, 551, -21, 1], 1]], 'hecke_orbit_code': 13510936354619921, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '529.2.c.d', 'level': 529, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36013939
{'hecke_orbit_code': 13510936354619921, 'n': 1, 'trace_an': 10}
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id: 36013940
{'hecke_orbit_code': 13510936354619921, 'n': 2, 'trace_an': 4}
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id: 36013941
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