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mf_newforms • Show schema
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{'Nk2': 108, 'analytic_conductor': 0.21559608545745704, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [27, 9, [2], [1]], 'cm_discs': [], 'conrey_index': 4, 'conrey_indexes': [4, 7, 13, 16, 22, 25], 'dim': 12, 'field_disc': 1952986685049, 'field_disc_factorization': [[3, 18], [71, 2]], 'field_poly': [3, -27, 108, -258, 420, -504, 463, -330, 186, -80, 27, -6, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461403, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '27.2.e.a', 'level': 27, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.2.e.a', 'nf_label': '12.0.1952986685049.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-1-\\beta _{3}+\\beta _{8})q^{2}+(-1-\\beta _{2}+\\beta _{6}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.2.e', 'trace_display': [-6, -6, -3, -6], 'trace_hash': 1251911866554662276, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.333', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '433.446', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 108, 'analytic_conductor': 0.21559608545745704, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [27, 9, [2], [1]], 'conrey_index': 4, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 274911461403, 'hecke_orbit_dims': [12], 'label': '27.2.e', 'level': 27, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 24, 'mf_new_dim': 24, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 2, 'sturm_bound': 6, 'trace_bound': 0, 'trace_display': [-6, -6, -3, -6], 'traces': [12, -6, -6, -6, -3, 0, -6, 6, 0, -3, 3, 12, -6, 15, 9, 0, 9, 9, -3, -3, -12, 3, -12, -18, 3, -30, -9, -12, -6, -9, 3, 0, 0, 9, 12, 18, -3, 42, 33, 21, 15, 18, 3, 3, -9, -3, -15, -15, 12, -33, -18, 9, -18, -54, -12, -33, -3, 21, -12, 0, 12, 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mf_twists_cc • Show schema
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id: 2434467
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 16, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.16.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2434468
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 46, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.46.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2434469
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.97.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2434470
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2434471
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2434472
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 151, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.151.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2434473
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2434474
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.55.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2434475
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.55.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2434476
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2434477
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2434478
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2434479
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.37.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2434480
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2434481
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2434482
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.190.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2434483
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.190.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2434484
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 2434485
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2434486
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 22, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.22.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2434487
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2434488
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 2434489
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.49.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '108.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 2434490
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2434491
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 76, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.76.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 2434492
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461403, 'source_is_minimal': True, 'source_label': '27.2.e.a.16.1', 'source_level': 27, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.103', 'twisting_conrey_index': 103, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 102775
{'charpoly_factorization': [[[9, 27, 27, -45, -18, -9, 6, 54, 72, 48, 21, 6, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 2}
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id: 102776
{'charpoly_factorization': [[[729, 1458, 1458, 1053, 567, 243, 117, 81, 63, 39, 18, 6, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 3}
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id: 102777
{'charpoly_factorization': [[[9, -135, 837, 1287, 1521, 1008, 303, -63, -63, -12, 3, 3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 5}
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id: 102778
{'charpoly_factorization': [[[289, -816, 888, -758, 639, 225, 273, 225, 18, -11, 12, 6, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 7}
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id: 102779
{'charpoly_factorization': [[[9, -27, 108, -531, 495, 1341, 1491, 657, 261, -6, -15, -3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 11}
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id: 102780
{'charpoly_factorization': [[[1, 84, 2994, -2675, -3546, 873, 3729, 2223, 747, 214, 48, 6, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 13}
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id: 102781
{'charpoly_factorization': [[[729, -2187, 8019, 1458, 7047, -1701, 2727, -567, 621, -189, 72, -9, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 17}
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id: 102782
{'charpoly_factorization': [[[361, 2280, 11208, 21604, 33354, 873, 6162, 252, 846, -14, 39, 3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 19}
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id: 102783
{'charpoly_factorization': [[[106929, 264870, 322812, 288216, 170838, 32220, 22713, -774, -1440, -192, 48, 12, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 23}
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id: 102784
{'charpoly_factorization': [[[45369, -203202, 341037, -619236, 1278324, 188802, -4044, -10206, 423, -96, 21, 6, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 29}
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id: 102785
{'charpoly_factorization': [[[26569, -77262, 73617, -6158, -29034, 14481, 3810, -4365, 1881, -434, 84, -3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 31}
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id: 102786
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 37}
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id: 102787
{'charpoly_factorization': [[[11229201, 15350931, 16475103, 10695744, 2682513, -178299, -57801, 8208, 4797, -705, 93, -15, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 41}
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id: 102788
{'charpoly_factorization': [[[3308761, -4709391, 49059204, -4380266, -386325, 386325, 10965, -963, 2799, 16, -60, -3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 43}
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id: 102789
{'charpoly_factorization': [[[42732369, -17296902, 4549149, 1182393, 1192761, 676449, 29409, -30357, -927, -114, 111, 15, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 47}
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id: 102790
{'charpoly_factorization': [[[-12393, -2916, 4617, -513, -108, 9, 1], 2]], 'hecke_orbit_code': 274911461403, 'p': 53}
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id: 102791
{'charpoly_factorization': [[[176384961, -170448354, 29313684, 10115676, 2890305, -2031741, 256911, -36189, 5796, 933, 192, 12, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 59}
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id: 102792
{'charpoly_factorization': [[[273670849, -12754653, 226908411, 81354967, -9276372, -1547091, 1238790, -134964, 19512, 34, -51, -12, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 61}
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id: 102793
{'charpoly_factorization': [[[8288641, -13275069, 5116533, 7604980, -2980269, -1780641, 660099, 86274, 23913, 2365, 255, 15, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 67}
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id: 102794
{'charpoly_factorization': [[[729, 6561, 78003, -144342, 604827, 231093, 400761, -147015, 38205, -5103, 504, -27, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 71}
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id: 102795
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 73}
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id: 102796
{'charpoly_factorization': [[[3508129, -1848651, -6043107, 15614746, 26778888, 7412832, 2309097, 487872, 78291, 9520, 813, 42, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 79}
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id: 102797
{'charpoly_factorization': [[[6951057129, -10578532986, 7328037465, -3047714604, 853146414, -170563383, 25416024, -2898477, 256059, -17196, 912, -39, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 83}
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id: 102798
{'charpoly_factorization': [[[1062042921, -992530584, 765665784, -218178036, 61794900, -6160293, 1737990, -125712, 36666, -432, 261, -9, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 89}
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id: 102799
{'charpoly_factorization': [[[66765241, 21154719, 532756806, -381413396, 112050423, -14303619, 35103, 185823, -11349, -1010, 102, -3, 1], 1]], 'hecke_orbit_code': 274911461403, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '27.2.e.a', 'level': 27, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 28793000
{'hecke_orbit_code': 274911461403, 'n': 1, 'trace_an': 12}
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id: 28793001
{'hecke_orbit_code': 274911461403, 'n': 2, 'trace_an': -6}
-
id: 28793002
{'hecke_orbit_code': 274911461403, 'n': 3, 'trace_an': -6}
-
id: 28793003
{'hecke_orbit_code': 274911461403, 'n': 4, 'trace_an': -6}
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id: 28793004
{'hecke_orbit_code': 274911461403, 'n': 5, 'trace_an': -3}
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id: 28793005
{'hecke_orbit_code': 274911461403, 'n': 6, 'trace_an': 0}
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id: 28793006
{'hecke_orbit_code': 274911461403, 'n': 7, 'trace_an': -6}
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id: 28793007
{'hecke_orbit_code': 274911461403, 'n': 8, 'trace_an': 6}
-
id: 28793008
{'hecke_orbit_code': 274911461403, 'n': 9, 'trace_an': 0}
-
id: 28793009
{'hecke_orbit_code': 274911461403, 'n': 10, 'trace_an': -3}
-
id: 28793010
{'hecke_orbit_code': 274911461403, 'n': 11, 'trace_an': 3}
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id: 28793011
{'hecke_orbit_code': 274911461403, 'n': 12, 'trace_an': 12}
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id: 28793012
{'hecke_orbit_code': 274911461403, 'n': 13, 'trace_an': -6}
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id: 28793013
{'hecke_orbit_code': 274911461403, 'n': 14, 'trace_an': 15}
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id: 28793014
{'hecke_orbit_code': 274911461403, 'n': 15, 'trace_an': 9}
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id: 28793015
{'hecke_orbit_code': 274911461403, 'n': 16, 'trace_an': 0}
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id: 28793016
{'hecke_orbit_code': 274911461403, 'n': 17, 'trace_an': 9}
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id: 28793017
{'hecke_orbit_code': 274911461403, 'n': 18, 'trace_an': 9}
-
id: 28793018
{'hecke_orbit_code': 274911461403, 'n': 19, 'trace_an': -3}
-
id: 28793019
{'hecke_orbit_code': 274911461403, 'n': 20, 'trace_an': -3}
-
id: 28793020
{'hecke_orbit_code': 274911461403, 'n': 21, 'trace_an': -12}
-
id: 28793021
{'hecke_orbit_code': 274911461403, 'n': 22, 'trace_an': 3}
-
id: 28793022
{'hecke_orbit_code': 274911461403, 'n': 23, 'trace_an': -12}
-
id: 28793023
{'hecke_orbit_code': 274911461403, 'n': 24, 'trace_an': -18}
-
id: 28793024
{'hecke_orbit_code': 274911461403, 'n': 25, 'trace_an': 3}
-
id: 28793025
{'hecke_orbit_code': 274911461403, 'n': 26, 'trace_an': -30}
-
id: 28793026
{'hecke_orbit_code': 274911461403, 'n': 27, 'trace_an': -9}
-
id: 28793027
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