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mf_newforms • Show schema
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{'Nk2': 648, 'analytic_conductor': 1.2935765127447423, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [162, 9, [83], [8]], 'cm_discs': [], 'conrey_index': 19, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, -27, 36, -24, 9, -3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461538, 'hecke_ring_generator_nbound': 2, '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, 27, 5, 1, 9, 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': '162.2.e.a', 'level': 162, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '54.2.e.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\zeta_{18}-\\zeta_{18}^{4})q^{2}-\\zeta_{18}^{5}q^{4}+(\\zeta_{18}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '162.2.e', 'trace_display': [0, 0, 3, 3], 'trace_hash': 300294708723638238, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.864', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '100.280', 'prec': 24}, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 648, 'analytic_conductor': 1.2935765127447423, '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': [162, 9, [83], [8]], 'conrey_index': 19, 'cusp_dim': 126, 'dim': 18, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461538, 'hecke_orbit_dims': [6, 12], 'label': '162.2.e', 'level': 162, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 198, 'mf_new_dim': 18, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 3, 'sturm_bound': 54, 'trace_bound': 1, 'trace_display': [0, 0, 6, 0], 'traces': [18, 0, 0, 0, 6, 0, 0, 3, 0, 0, 15, 0, 0, 6, 0, 0, 12, 0, 0, -12, 0, -9, -24, 0, -18, -36, 0, 0, -30, 0, -18, 0, 0, -9, -6, 0, 0, 12, 0, 0, 15, 0, -9, 6, 0, 0, 0, 0, -18, 36, 0, 0, 24, 0, 0, 6, 0, 0, -6, 0, -18, 24, 0, -9, -6, 0, 27, 12, 0, 36, -24, 0, -18, -30, 0, 18, -42, 0, 72, -12, 0, 0, 0, 0, 72, -27, 0, 18, 3, 0, -18, -6, 0, 36, -6, 0, 27, 15, 0, -9, 102, 0, -18, 12, 0, 0, 60, 0, 0, 72, 0, 0, 36, 0, -36, 6, 0, 0, -30, 0, -45, -36, 0, -18, -24, 0, 0, 0, 0, -36, 24, 0, -54, -48, 0, 0, -21, 0, -36, -42, 0, -36, -78, 0, 0, -45, 0, -18, -60, 0, 36, 18, 0, 0, -42, 0, 54, 48, 0, 0, 24, 0, -54, 15, 0, -18, 18, 0, 36, 0, 0, 0, -18, 0, 18, -21, 0, -36, -57, 0, 0, -18, 0, -18, -60, 0, -36, 36, 0, 0, -6, 0, -63, -51, 0, -18, 12, 0, 0, -36, 0, -36, 102, 0, -72, 24, 0, 0, 30, 0, -36, 6, 0, 0, 84, 0, 36, 36, 0, 36, 114, 0, 108, 12, 0, 27, 117, 0, 90, -36, 0, 0, 6, 0, 54, -33, 0, 108, 108, 0, 81, 30, 0, 36, -72, 0, 72, 36, 0, 108, 6, 0, 54, 36, 0, 0, -45, 0, 54, -6, 0, 27, -78, 0, 36, 0, 0, 27, -156, 0, 36, 12, 0, -18, -39, 0, -108, 12, 0, 0, -102, 0, -108, 12, 0, -54, -24, 0, -9, 0, 0, -9, -24, 0, -90, -60, 0, 0, 24, 0, -72, 0, 0, -9, 48, 0, -18, 66, 0, -54, 6, 0, -36, 42, 0, 0, 48, 0, -18, -12, 0, -72, -30, 0, 0, -66, 0, -9, 72, 0, 0, -27, 0, 0, 84, 0, -72, 84, 0, -36, 102, 0, -18, 45, 0, -54, -135, 0, -72, 48, 0, 0, -66, 0, -90, -6, 0, -54, -54, 0, -9, -30, 0, -36, 12, 0, -108, -6, 0, 0, -42, 0, -18, -99, 0, 36, -60, 0, -108, -6, 0, 72, -264, 0, 72, -12, 0, 0, -24, 0, 90, -48, 0, 144, 12, 0, 0, 12, 0, 36, -21, 0, 126, -24, 0, -108, 66, 0, 135, 72, 0, 36, 24, 0, 0, 12, 0, 135, 126, 0, 90, -81, 0, 0, 39, 0, 126, 33, 0, 54, 84, 0, -108, -96, 0, 0, 24, 0, 36, 18, 0, 0, 90, 0, -36, 36, 0, 0, 72, 0, 27, 18, 0, -63, 78, 0, 27, 24, 0, 0, 168, 0, 36, 24, 0, -63, 132, 0, 54, 18, 0, -9, -42, 0, -18, -66, 0, 0, -54, 0, -18, -30, 0, -45, -96, 0, 108, -36, 0, -126, -15, 0, -36, -12, 0, 0, -48, 0, 0, 48, 0, -63, -54, 0, 54, 54, 0, -36, 132, 0, -18, -6, 0, 0, -24, 0, 0, 42, 0, -36, 102, 0, 9, -12, 0, 18, -66, 0, 36, -36, 0, -18, 12, 0, 36, -18, 0, 36, 0, 0, 0, -18, 0, -9, -132, 0, 27, -30, 0, -54, -114, 0, 54, 72, 0, 99, 66, 0, -126, 48, 0, 144, 36, 0, 162, 6, 0, 0, -15, 0, 153, 12, 0, 126, -96, 0, -126, 27, 0, 90, -198, 0, 36, 24, 0, -54, -78, 0, 0, -108, 0, -18, 30, 0, 0, -60, 0, 54, -6, 0, 36, -66, 0, -18, -102, 0, -90, 21, 0, 0, 54, 0, -18, 27, 0, -36, 60, 0, -153, 120, 0, 0, 168, 0, -108, 114, 0, -54, -66, 0, 0, -42, 0, -126, 30, 0, -180, -72, 0, 0, -21, 0, -189, -66, 0, -117, 144, 0, -54, -60, 0, -72, 66, 0, -234, 6, 0, 0, 12, 0, -126, -132, 0, -18, 6, 0, 0, -18, 0, -108, 48, 0, -126, 120, 0, 18, 138, 0, -144, 54, 0, -18, -126, 0, 54, 24, 0, 18, 12, 0, -36, -18, 0, 54, -114, 0, -36, 60, 0, 18, -300, 0, 252, -21, 0, 81, -84, 0, 0, -72, 0, 27, 6, 0, 72, -30, 0, 90, -72, 0, 108, 39, 0, 18, 78, 0, 0, 12, 0, 216, -93, 0, 0, 54, 0, 36, 138, 0, 108, 66, 0, 90, -36, 0, 126, 0, 0, 27, 138, 0, 0, 0, 0, 72, -60, 0, 252, -57, 0, 72, 0, 0, 54, -42, 0, 54, -66, 0, 198, 0, 0, -36, -90, 0, 0, 30, 0, -18, 39, 0, 72, 144, 0, 18, 138, 0, -18, -24, 0, -144, 0, 0, -108, 36, 0, -72, -126, 0, 0, 21, 0, 0, -267, 0, -72, 6, 0, -36, 48, 0, 0, 102, 0, -144, 102, 0, 45, 12, 0, 0, 48, 0, 0, 0, 0, -162, 120, 0, -108, 90, 0, 0, 27, 0, 54, -42, 0, -54, 54, 0, 90, -30, 0, 72, 108, 0, -54, -30, 0, 18, 150, 0, 234, 42, 0, 0, -36, 0, 207, -6, 0, 108, 228, 0, -216, 18, 0, 72, 246, 0, 0, 6, 0, 0, 168, 0, 162, 18, 0, -18, 51, 0, 0, -30, 0, 90, 42, 0, 90, 36, 0, -108, -72, 0, 90, -12, 0, 90, -6, 0, 0, -135, 0, -36, 48, 0, 81, 0, 0, 0, 180, 0, -81, -207, 0, 90, -168, 0, -180, -36, 0, 72, -300, 0, -54, 18, 0, 0, -108, 0, 63, 33, 0, 0, -90, 0, 27, -6, 0, 0, 48, 0, -90, 12, 0, -54, -288, 0, -234, -114, 0, -54, -72, 0, 54, -54, 0, -198, -6, 0, -180, -24, 0, 0, -78, 0, -198, -45, 0, -198, -288, 0, 36, -6, 0, -18, -42, 0, -252, 18, 0, 0, 12, 0, -252, -108, 0, -90, -48, 0, 36, -18, 0, -108, -150, 0, -180, -156, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 2447651
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461538, 'target_is_minimal': False, 'target_label': '162.2.e.a.37.1', 'target_level': 162, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2447652
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461430, 'target_is_minimal': True, 'target_label': '54.2.e.a.49.1', 'target_level': 54, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2447653
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 433, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573350, 'target_is_minimal': False, 'target_label': '486.2.e.d.433.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2447654
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202854, 'target_is_minimal': False, 'target_label': '486.2.e.c.271.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2447655
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832358, 'target_is_minimal': False, 'target_label': '486.2.e.b.271.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2447656
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 433, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461862, 'target_is_minimal': False, 'target_label': '486.2.e.a.433.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2447657
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089584, 'target_is_minimal': False, 'target_label': '432.2.u.a.49.1', 'target_level': 432, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2447658
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573350, 'target_is_minimal': False, 'target_label': '486.2.e.d.55.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2447659
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915667378, 'target_is_minimal': False, 'target_label': '1458.2.a.d.1.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2447660
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 973, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620850, 'target_is_minimal': False, 'target_label': '1458.2.c.d.973.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2447661
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 217, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202854, 'target_is_minimal': False, 'target_label': '486.2.e.c.217.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2447662
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461430, 'target_is_minimal': True, 'target_label': '54.2.e.a.43.1', 'target_level': 54, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2447663
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472509362, 'target_is_minimal': False, 'target_label': '1458.2.c.a.487.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2447664
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620850, 'target_is_minimal': False, 'target_label': '1458.2.c.d.487.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2447665
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 127, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461538, 'target_is_minimal': False, 'target_label': '162.2.e.a.127.1', 'target_level': 162, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 2447666
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 217, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832358, 'target_is_minimal': False, 'target_label': '486.2.e.b.217.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2447667
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 973, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472509362, 'target_is_minimal': False, 'target_label': '1458.2.c.a.973.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2447668
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33555890, 'target_is_minimal': False, 'target_label': '1458.2.a.a.1.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2447669
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461862, 'target_is_minimal': False, 'target_label': '486.2.e.a.55.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 2447670
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461538, 'source_is_minimal': False, 'source_label': '162.2.e.a.37.1', 'source_level': 162, 'target_conrey_index': 97, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089584, 'target_is_minimal': False, 'target_label': '432.2.u.a.97.1', 'target_level': 432, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '108.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 423525
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 2}
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id: 423526
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 274911461538, 'p': 3}
-
id: 423527
{'charpoly_factorization': [[[9, -27, 36, -24, 9, -3, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 5}
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id: 423528
{'charpoly_factorization': [[[1, 3, 69, 8, -6, -3, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 7}
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id: 423529
{'charpoly_factorization': [[[3249, -513, -18, -24, 9, -3, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 11}
-
id: 423530
{'charpoly_factorization': [[[289, 816, 786, 269, 78, 12, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 13}
-
id: 423531
{'charpoly_factorization': [[[25281, -4293, 1683, -156, 63, -6, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 17}
-
id: 423532
{'charpoly_factorization': [[[32041, -2148, 1755, -250, 93, -9, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 19}
-
id: 423533
{'charpoly_factorization': [[[9, -54, 144, -111, 36, -6, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 23}
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id: 423534
{'charpoly_factorization': [[[9, 27, 360, 300, 99, 15, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 29}
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id: 423535
{'charpoly_factorization': [[[5041, 7029, 3636, 881, 171, 18, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 31}
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id: 423536
{'charpoly_factorization': [[[289, 918, 3171, -844, 171, -15, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 37}
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id: 423537
{'charpoly_factorization': [[[47961, -7884, -369, -51, 36, -3, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 41}
-
id: 423538
{'charpoly_factorization': [[[64, 288, 432, 224, 144, 18, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 43}
-
id: 423539
{'charpoly_factorization': [[[81, -81, 162, -72, 9, 9, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 47}
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id: 423540
{'charpoly_factorization': [[[-3, -9, -6, 1], 2]], 'hecke_orbit_code': 274911461538, 'p': 53}
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id: 423541
{'charpoly_factorization': [[[3249, 3591, 954, -84, 36, -6, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 59}
-
id: 423542
{'charpoly_factorization': [[[2809, -4293, 2124, -379, 153, -18, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 61}
-
id: 423543
{'charpoly_factorization': [[[1, 45, 576, 80, 45, 9, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 67}
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id: 423544
{'charpoly_factorization': [[[106929, 14715, 5949, 114, 189, 12, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 71}
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id: 423545
{'charpoly_factorization': [[[72361, -30666, 13803, -196, 123, -3, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 73}
-
id: 423546
{'charpoly_factorization': [[[466489, -145479, 25707, -4168, 510, -33, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 79}
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id: 423547
{'charpoly_factorization': [[[5184, -5184, 2592, -720, 144, -18, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 83}
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id: 423548
{'charpoly_factorization': [[[25281, 5724, 3681, -858, 189, -15, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 89}
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id: 423549
{'charpoly_factorization': [[[16129, -4953, 1092, -469, 51, 12, 1], 1]], 'hecke_orbit_code': 274911461538, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '162.2.e.a', 'level': 162, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 7454976
{'hecke_orbit_code': 274911461538, 'n': 1, 'trace_an': 6}
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id: 7454977
{'hecke_orbit_code': 274911461538, 'n': 2, 'trace_an': 0}
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id: 7454978
{'hecke_orbit_code': 274911461538, 'n': 3, 'trace_an': 0}
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id: 7454979
{'hecke_orbit_code': 274911461538, 'n': 4, 'trace_an': 0}
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id: 7454980
{'hecke_orbit_code': 274911461538, 'n': 5, 'trace_an': 3}
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id: 7454981
{'hecke_orbit_code': 274911461538, 'n': 6, 'trace_an': 0}
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id: 7454982
{'hecke_orbit_code': 274911461538, 'n': 7, 'trace_an': 3}
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id: 7454983
{'hecke_orbit_code': 274911461538, 'n': 8, 'trace_an': -3}
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id: 7454984
{'hecke_orbit_code': 274911461538, 'n': 9, 'trace_an': 0}
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id: 7454985
{'hecke_orbit_code': 274911461538, 'n': 10, 'trace_an': 3}
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id: 7454986
{'hecke_orbit_code': 274911461538, 'n': 11, 'trace_an': 3}
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id: 7454987
{'hecke_orbit_code': 274911461538, 'n': 12, 'trace_an': 0}
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id: 7454988
{'hecke_orbit_code': 274911461538, 'n': 13, 'trace_an': -12}
-
id: 7454989
{'hecke_orbit_code': 274911461538, 'n': 14, 'trace_an': 3}
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id: 7454990
{'hecke_orbit_code': 274911461538, 'n': 15, 'trace_an': 0}
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id: 7454991
{'hecke_orbit_code': 274911461538, 'n': 16, 'trace_an': 0}
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id: 7454992
{'hecke_orbit_code': 274911461538, 'n': 17, 'trace_an': 6}
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id: 7454993
{'hecke_orbit_code': 274911461538, 'n': 18, 'trace_an': 0}
-
id: 7454994
{'hecke_orbit_code': 274911461538, 'n': 19, 'trace_an': 9}
-
id: 7454995
{'hecke_orbit_code': 274911461538, 'n': 20, 'trace_an': -6}
-
id: 7454996
{'hecke_orbit_code': 274911461538, 'n': 21, 'trace_an': 0}
-
id: 7454997
{'hecke_orbit_code': 274911461538, 'n': 22, 'trace_an': 3}
-
id: 7454998
{'hecke_orbit_code': 274911461538, 'n': 23, 'trace_an': 6}
-
id: 7454999
{'hecke_orbit_code': 274911461538, 'n': 24, 'trace_an': 0}
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id: 7455000
{'hecke_orbit_code': 274911461538, 'n': 25, 'trace_an': -9}
-
id: 7455001
{'hecke_orbit_code': 274911461538, 'n': 26, 'trace_an': -18}
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id: 7455002
{'hecke_orbit_code': 274911461538, 'n': 27, 'trace_an': 0}
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id: 7455003
{'hecke_orbit_code': 274911461538, 'n': 28, 'trace_an': -12}
-
id: 7455004
{'hecke_orbit_code': 274911461538, 'n': 29, 'trace_an': -15}
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id: 7455005
{'hecke_orbit_code': 274911461538, 'n': 30, 'trace_an': 0}
-
id: 7455006
{'hecke_orbit_code': 274911461538, 'n': 31, 'trace_an': -18}
-
id: 7455007
{'hecke_orbit_code': 274911461538, 'n': 32, 'trace_an': 0}
-
id: 7455008
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id: 7455213
{'hecke_orbit_code': 274911461538, 'n': 859, 'trace_an': 129}
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id: 7455214
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id: 7455215
{'hecke_orbit_code': 274911461538, 'n': 877, 'trace_an': 66}
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id: 7455216
{'hecke_orbit_code': 274911461538, 'n': 881, 'trace_an': 39}
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id: 7455217
{'hecke_orbit_code': 274911461538, 'n': 883, 'trace_an': -9}
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id: 7455218
{'hecke_orbit_code': 274911461538, 'n': 887, 'trace_an': 12}
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id: 7455219
{'hecke_orbit_code': 274911461538, 'n': 907, 'trace_an': -30}
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id: 7455220
{'hecke_orbit_code': 274911461538, 'n': 911, 'trace_an': 99}
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id: 7455221
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id: 7455222
{'hecke_orbit_code': 274911461538, 'n': 929, 'trace_an': 54}
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id: 7455223
{'hecke_orbit_code': 274911461538, 'n': 937, 'trace_an': 6}
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id: 7455224
{'hecke_orbit_code': 274911461538, 'n': 941, 'trace_an': -39}
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id: 7455225
{'hecke_orbit_code': 274911461538, 'n': 947, 'trace_an': -162}
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id: 7455226
{'hecke_orbit_code': 274911461538, 'n': 953, 'trace_an': 18}
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id: 7455227
{'hecke_orbit_code': 274911461538, 'n': 961, 'trace_an': -18}
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id: 7455228
{'hecke_orbit_code': 274911461538, 'n': 967, 'trace_an': -171}
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id: 7455229
{'hecke_orbit_code': 274911461538, 'n': 971, 'trace_an': 18}
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id: 7455230
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id: 7455231
{'hecke_orbit_code': 274911461538, 'n': 983, 'trace_an': 6}
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id: 7455232
{'hecke_orbit_code': 274911461538, 'n': 991, 'trace_an': -24}
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id: 7455233
{'hecke_orbit_code': 274911461538, 'n': 997, 'trace_an': -9}