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{'Nk2': 24336, 'analytic_conductor': 89.74190511873148, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [13, 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': [1521, 1, [677, 847], [1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [0, 1]], [5, [0, 1]], [7, [20, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597831333361, 'hecke_ring_generator_nbound': 1, '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, 3, 2, -1, 2, -3]], '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': '1521.4.a.g', 'level': 1521, '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': [3, 13], 'level_radical': 39, 'minimal_twist': '9.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-8q^{4}-20q^{7}+2^{6}q^{16}-56q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '1521.4.a', 'trace_display': [0, 0, 0, -20], 'trace_hash': 861847388975110251, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.963', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.117', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'embedding_root_real': 0.0, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597831333361, 'label': '1521.4.a.g.1.1', 'level': 1521, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [41, 36, 54, 57], 'Nk2': 24336, 'analytic_conductor': 89.74190511873148, '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': [1521, 1, [677, 847], [1, 1]], 'conrey_index': 1, 'cusp_dim': 518, 'dim': 188, 'eis_dim': 56, 'eis_new_dim': 11, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 67110385, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9, 9, 9, 10, 12, 18, 18], 'label': '1521.4.a', 'level': 1521, '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': [3, 13], 'level_radical': 39, 'mf_dim': 574, 'mf_new_dim': 199, 'num_forms': 40, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 188, 'sturm_bound': 728, 'trace_bound': 17, 'trace_display': [0, 0, 6, -22], 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mf_twists_cc • Show schema
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id: 45665405
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831333361, 'target_is_minimal': False, 'target_label': '1521.4.a.g.1.1', 'target_level': 1521, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 45665406
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831333361, 'target_is_minimal': False, 'target_label': '1521.4.a.g.1.1', 'target_level': 1521, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45665407
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108873, 'target_is_minimal': True, 'target_label': '9.4.a.a.1.1', 'target_level': 9, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 45665408
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108873, 'target_is_minimal': True, 'target_label': '9.4.a.a.1.1', 'target_level': 9, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 45665409
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220496, 'target_is_minimal': False, 'target_label': '144.4.a.d.1.1', 'target_level': 144, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 4}
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id: 45665410
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666550808801, 'target_is_minimal': False, 'target_label': '225.4.b.g.199.2', 'target_level': 225, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 45665411
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021666550808801, 'target_is_minimal': False, 'target_label': '225.4.b.g.199.1', 'target_level': 225, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '65.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 45665412
{'conductor': 65, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220577, 'target_is_minimal': False, 'target_label': '225.4.a.d.1.1', 'target_level': 225, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '65.64', 'twisting_conrey_index': 64, 'weight': 4}
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id: 45665413
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671591350713, 'target_is_minimal': False, 'target_label': '441.4.e.j.361.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 45665414
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963980217, 'target_is_minimal': False, 'target_label': '441.4.e.i.226.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '91.25', 'twisting_conrey_index': 25, 'weight': 4}
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id: 45665415
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671591350713, 'target_is_minimal': False, 'target_label': '441.4.e.j.226.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '91.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 45665416
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963980217, 'target_is_minimal': False, 'target_label': '441.4.e.i.361.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '91.51', 'twisting_conrey_index': 51, 'weight': 4}
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id: 45665417
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961785, 'target_is_minimal': False, 'target_label': '441.4.a.f.1.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 4}
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id: 45665418
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184896, 'target_is_minimal': False, 'target_label': '576.4.a.l.1.1', 'target_level': 576, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '104.51', 'twisting_conrey_index': 51, 'weight': 4}
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id: 45665419
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595555392, 'target_is_minimal': False, 'target_label': '576.4.a.m.1.1', 'target_level': 576, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '104.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 45665420
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 28, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432913, 'target_is_minimal': False, 'target_label': '81.4.c.b.28.1', 'target_level': 81, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '117.25', 'twisting_conrey_index': 25, 'weight': 4}
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id: 45665421
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 28, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432913, 'target_is_minimal': False, 'target_label': '81.4.c.b.28.1', 'target_level': 81, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '117.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 45665422
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432913, 'target_is_minimal': False, 'target_label': '81.4.c.b.55.1', 'target_level': 81, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '117.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 45665423
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432913, 'target_is_minimal': False, 'target_label': '81.4.c.b.55.1', 'target_level': 81, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '117.103', 'twisting_conrey_index': 103, 'weight': 4}
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id: 45665424
{'conductor': 143, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332929, 'target_is_minimal': False, 'target_label': '1089.4.a.g.1.1', 'target_level': 1089, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '143.142', 'twisting_conrey_index': 142, 'weight': 4}
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id: 45665425
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220496, 'target_is_minimal': False, 'target_label': '144.4.a.d.1.1', 'target_level': 144, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 4}
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id: 45665426
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021666550808801, 'target_is_minimal': False, 'target_label': '225.4.b.g.199.1', 'target_level': 225, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '195.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 45665427
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666550808801, 'target_is_minimal': False, 'target_label': '225.4.b.g.199.2', 'target_level': 225, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '195.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 45665428
{'conductor': 195, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220577, 'target_is_minimal': False, 'target_label': '225.4.a.d.1.1', 'target_level': 225, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '195.194', 'twisting_conrey_index': 194, 'weight': 4}
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id: 45665429
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671591350713, 'target_is_minimal': False, 'target_label': '441.4.e.j.226.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '273.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 45665430
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963980217, 'target_is_minimal': False, 'target_label': '441.4.e.i.226.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '273.116', 'twisting_conrey_index': 116, 'weight': 4}
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id: 45665431
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671591350713, 'target_is_minimal': False, 'target_label': '441.4.e.j.361.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '273.194', 'twisting_conrey_index': 194, 'weight': 4}
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id: 45665432
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963980217, 'target_is_minimal': False, 'target_label': '441.4.e.i.361.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '273.233', 'twisting_conrey_index': 233, 'weight': 4}
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id: 45665433
{'conductor': 273, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961785, 'target_is_minimal': False, 'target_label': '441.4.a.f.1.1', 'target_level': 441, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '273.272', 'twisting_conrey_index': 272, 'weight': 4}
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id: 45665434
{'conductor': 312, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595555392, 'target_is_minimal': False, 'target_label': '576.4.a.m.1.1', 'target_level': 576, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '312.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 45665435
{'conductor': 312, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184896, 'target_is_minimal': False, 'target_label': '576.4.a.l.1.1', 'target_level': 576, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '312.155', 'twisting_conrey_index': 155, 'weight': 4}
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id: 45665436
{'conductor': 429, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597831333361, 'source_is_minimal': False, 'source_label': '1521.4.a.g.1.1', 'source_level': 1521, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332929, 'target_is_minimal': False, 'target_label': '1089.4.a.g.1.1', 'target_level': 1089, 'twist_class_label': '9.4.a.a.1.1', 'twist_class_level': 9, 'twisting_char_label': '429.428', 'twisting_conrey_index': 428, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1894725
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 2}
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id: 1894726
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 3}
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id: 1894727
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 5}
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id: 1894728
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 7}
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id: 1894729
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 11}
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id: 1894730
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 13}
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id: 1894731
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 17}
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id: 1894732
{'charpoly_factorization': [[[56, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 19}
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id: 1894733
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 23}
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id: 1894734
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 29}
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id: 1894735
{'charpoly_factorization': [[[308, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 31}
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id: 1894736
{'charpoly_factorization': [[[110, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 37}
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id: 1894737
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 41}
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id: 1894738
{'charpoly_factorization': [[[520, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 43}
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id: 1894739
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 47}
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id: 1894740
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 53}
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id: 1894741
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 59}
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id: 1894742
{'charpoly_factorization': [[[-182, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 61}
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id: 1894743
{'charpoly_factorization': [[[-880, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 67}
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id: 1894744
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 71}
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id: 1894745
{'charpoly_factorization': [[[1190, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 73}
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id: 1894746
{'charpoly_factorization': [[[-884, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 79}
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id: 1894747
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 83}
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id: 1894748
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 89}
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id: 1894749
{'charpoly_factorization': [[[-1330, 1], 1]], 'hecke_orbit_code': 27021597831333361, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1521.4.a.g', 'level': 1521, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 46653601
{'hecke_orbit_code': 27021597831333361, 'n': 1, 'trace_an': 1}
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id: 46653602
{'hecke_orbit_code': 27021597831333361, 'n': 2, 'trace_an': 0}
-
id: 46653603
{'hecke_orbit_code': 27021597831333361, 'n': 3, 'trace_an': 0}
-
id: 46653604
{'hecke_orbit_code': 27021597831333361, 'n': 4, 'trace_an': -8}
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id: 46653605
{'hecke_orbit_code': 27021597831333361, 'n': 5, 'trace_an': 0}
-
id: 46653606
{'hecke_orbit_code': 27021597831333361, 'n': 6, 'trace_an': 0}
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id: 46653607
{'hecke_orbit_code': 27021597831333361, 'n': 7, 'trace_an': -20}
-
id: 46653608
{'hecke_orbit_code': 27021597831333361, 'n': 8, 'trace_an': 0}
-
id: 46653609
{'hecke_orbit_code': 27021597831333361, 'n': 9, 'trace_an': 0}
-
id: 46653610
{'hecke_orbit_code': 27021597831333361, 'n': 10, 'trace_an': 0}
-
id: 46653611
{'hecke_orbit_code': 27021597831333361, 'n': 11, 'trace_an': 0}
-
id: 46653612
{'hecke_orbit_code': 27021597831333361, 'n': 12, 'trace_an': 0}
-
id: 46653613
{'hecke_orbit_code': 27021597831333361, 'n': 13, 'trace_an': 0}
-
id: 46653614
{'hecke_orbit_code': 27021597831333361, 'n': 14, 'trace_an': 0}
-
id: 46653615
{'hecke_orbit_code': 27021597831333361, 'n': 15, 'trace_an': 0}
-
id: 46653616
{'hecke_orbit_code': 27021597831333361, 'n': 16, 'trace_an': 64}
-
id: 46653617
{'hecke_orbit_code': 27021597831333361, 'n': 17, 'trace_an': 0}
-
id: 46653618
{'hecke_orbit_code': 27021597831333361, 'n': 18, 'trace_an': 0}
-
id: 46653619
{'hecke_orbit_code': 27021597831333361, 'n': 19, 'trace_an': -56}
-
id: 46653620
{'hecke_orbit_code': 27021597831333361, 'n': 20, 'trace_an': 0}
-
id: 46653621
{'hecke_orbit_code': 27021597831333361, 'n': 21, 'trace_an': 0}
-
id: 46653622
{'hecke_orbit_code': 27021597831333361, 'n': 22, 'trace_an': 0}
-
id: 46653623
{'hecke_orbit_code': 27021597831333361, 'n': 23, 'trace_an': 0}
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