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mf_newforms • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, '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': [243, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 28, 'conrey_indexes': [28, 55, 109, 136, 190, 217], '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': [[2, [9, 54, 135, 207, 279, 279, 195, 81, 27, 6, 3, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832115, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': 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mf_hecke_cc • Show schema
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'dual_embedding_index': 1, 'dual_embedding_m': 9, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 0.2586544027151079, 'embedding_root_real': 0.5, 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832115, 'label': '243.2.e.b.55.1', 'level': 243, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, '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': [243, 9, [2], [4]], 'conrey_index': 28, 'cusp_dim': 108, 'dim': 48, 'eis_dim': 108, 'eis_new_dim': 48, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461619, 'hecke_orbit_dims': [12, 12, 12, 12], 'label': '243.2.e', 'level': 243, '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': 216, 'mf_new_dim': 96, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 8, 'sturm_bound': 54, 'trace_bound': 5, 'trace_display': [0, 0, 0, 12], 'traces': [48, 0, 0, 12, 0, 0, 12, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, -6, 0, 0, -6, 0, 0, -48, 0, 0, -6, 0, 0, -18, 0, 0, -12, 0, 0, -42, 0, 0, -6, 0, 0, -12, 0, 0, -24, 0, 0, -18, 0, 0, -48, 0, 0, -42, 0, 0, -24, 0, 0, 48, 0, 0, 30, 0, 0, 30, 0, 0, 24, 0, 0, 96, 0, 0, 84, 0, 0, -48, 0, 0, 54, 0, 0, 60, 0, 0, 24, 0, 0, 30, 0, 0, -6, 0, 0, 72, 0, 0, -60, 0, 0, -54, 0, 0, -48, 0, 0, -78, 0, 0, -78, 0, 0, -12, 0, 0, -78, 0, 0, -126, 0, 0, -12, 0, 0, -60, 0, 0, -84, 0, 0, 144, 0, 0, -6, 0, 0, 36, 0, 0, -12, 0, 0, 96, 0, 0, 120, 0, 0, -12, 0, 0, 138, 0, 0, 180, 0, 0, 168, 0, 0, 228, 0, 0, 120, 0, 0, -12, 0, 0, 72, 0, 0, 108, 0, 0, -12, 0, 0, -60, 0, 0, -72, 0, 0, 192, 0, 0, -96, 0, 0, -114, 0, 0, -12, 0, 0, -186, 0, 0, -150, 0, 0, -108, 0, 0, -132, 0, 0, -108, 0, 0, -120, 0, 0, -30, 0, 0, 12, 0, 0, -120, 0, 0, 12, 0, 0, 42, 0, 0, -120, 0, 0, 54, 0, 0, 30, 0, 0, -336, 0, 0, -30, 0, 0, 30, 0, 0, -120, 0, 0, 12, 0, 0, -30, 0, 0, -120, 0, 0, 54, 0, 0, -54, 0, 0, -120, 0, 0, -204, 0, 0, -150, 0, 0, 60, 0, 0, -150, 0, 0, -120, 0, 0, 156, 0, 0, -156, 0, 0, -6, 0, 0, -48, 0, 0, 102, 0, 0, 18, 0, 0, 132, 0, 0, 174, 0, 0, 210, 0, 0, 204, 0, 0, 210, 0, 0, 210, 0, 0, -48, 0, 0, 210, 0, 0, 228, 0, 0, 204, 0, 0, 174, 0, 0, 54, 0, 0, 132, 0, 0, 102, 0, 0, 84, 0, 0, 144, 0, 0, -54, 0, 0, -180, 0, 0, 180, 0, 0, -12, 0, 0, -150, 0, 0, 228, 0, 0, -78, 0, 0, -102, 0, 0, 168, 0, 0, -42, 0, 0, 30, 0, 0, -12, 0, 0, -54, 0, 0, 54, 0, 0, -12, 0, 0, -6, 0, 0, -24, 0, 0, 384, 0, 0, -6, 0, 0, 90, 0, 0, -12, 0, 0, -30, 0, 0, -60, 0, 0, -108, 0, 0, -42, 0, 0, -150, 0, 0, 168, 0, 0, -102, 0, 0, -132, 0, 0, -216, 0, 0, -180, 0, 0, -96, 0, 0, -120, 0, 0, -6, 0, 0, 30, 0, 0, -240, 0, 0, 48, 0, 0, 144, 0, 0, -228, 0, 0, 120, 0, 0, 6, 0, 0, -336, 0, 0, 24, 0, 0, 204, 0, 0, -480, 0, 0, 90, 0, 0, -18, 0, 0, -144, 0, 0, 84, 0, 0, 216, 0, 0, -228, 0, 0, -12, 0, 0, -48, 0, 0, -480, 0, 0, -42, 0, 0, -30, 0, 0, -84, 0, 0, -24, 0, 0, -96, 0, 0, -96, 0, 0, -54, 0, 0, -162, 0, 0, -48, 0, 0, -126, 0, 0, -132, 0, 0, 84, 0, 0, -150, 0, 0, -18, 0, 0, 240, 0, 0, -114, 0, 0, -60, 0, 0, 144, 0, 0, -6, 0, 0, -96, 0, 0, 240, 0, 0, -174, 0, 0, 54, 0, 0, 204, 0, 0, -174, 0, 0, -162, 0, 0, 360, 0, 0, 84, 0, 0, 66, 0, 0, 132, 0, 0, 66, 0, 0, 30, 0, 0, 24, 0, 0, 48, 0, 0, 156, 0, 0, 600, 0, 0, 162, 0, 0, 72, 0, 0, -12, 0, 0, 84, 0, 0, 114, 0, 0, 132, 0, 0, 318, 0, 0, 90, 0, 0, 600, 0, 0, 114, 0, 0, 246, 0, 0, -12, 0, 0, 192, 0, 0, -120, 0, 0, -12, 0, 0, 102, 0, 0, 192, 0, 0, 48, 0, 0, 156, 0, 0, 60, 0, 0, -120, 0, 0, 48, 0, 0, 102, 0, 0, -228, 0, 0, -108, 0, 0, -12, 0, 0, -96, 0, 0, -258, 0, 0, -150, 0, 0, -144, 0, 0, 12, 0, 0, -270, 0, 0, -228, 0, 0, -66, 0, 0, -222, 0, 0, -672, 0, 0, -222, 0, 0, -234, 0, 0, -228, 0, 0, -162, 0, 0, -150, 0, 0, 72, 0, 0, -186, 0, 0, 114, 0, 0, -552, 0, 0, -84, 0, 0, 96, 0, 0, -12, 0, 0, 120, 0, 0, 162, 0, 0, 96, 0, 0, 264, 0, 0, -18, 0, 0, -456, 0, 0, 12, 0, 0, 84, 0, 0, 420, 0, 0, 42, 0, 0, -18, 0, 0, 420, 0, 0, -12, 0, 0, 60, 0, 0, -48, 0, 0, 132, 0, 0, 42, 0, 0, 300, 0, 0, 12, 0, 0, 30, 0, 0, 420, 0, 0, 300, 0, 0, -6, 0, 0, 168, 0, 0, 12, 0, 0, 288, 0, 0, 204, 0, 0, -18, 0, 0, 174, 0, 0, 108, 0, 0, 30, 0, 0, 108, 0, 0, 384, 0, 0, 42, 0, 0, -330, 0, 0, 444, 0, 0, -96, 0, 0, -120, 0, 0, -12, 0, 0, -384, 0, 0, -246, 0, 0, 816, 0, 0, -270, 0, 0, -396, 0, 0, -216, 0, 0, -258, 0, 0, -168, 0, 0, -84, 0, 0, -222, 0, 0, 36, 0, 0, 96, 0, 0, 174, 0, 0, 6, 0, 0, -144, 0, 0, 204, 0, 0, 162, 0, 0, -336, 0, 0, 222, 0, 0, 156, 0, 0, -696, 0, 0, 60, 0, 0, 126, 0, 0, -444, 0, 0, -78, 0, 0, 318, 0, 0, -552, 0, 0, 48, 0, 0, 12, 0, 0, -768, 0, 0, -60, 0, 0, -54, 0, 0, -552, 0, 0, 198, 0, 0, 90, 0, 0, -408, 0, 0, 0, 0, 0, 156, 0, 0, -480], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35017504
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35017505
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35017506
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35017507
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35017508
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35017509
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35017510
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35017511
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35017512
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35017513
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35017514
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35017515
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35017516
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35017517
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35017518
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35017519
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35017520
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35017521
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 35017522
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35017523
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35017524
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35017525
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 35017526
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '108.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 35017527
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '135.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35017528
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '135.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 35017529
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832115, 'source_is_minimal': False, 'source_label': '243.2.e.b.55.1', 'source_level': 243, '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': '135.122', 'twisting_conrey_index': 122, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 572050
{'charpoly_factorization': [[[9, 54, 135, 207, 279, 279, 195, 81, 27, 6, 3, 3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 2}
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id: 572051
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503874538832115, 'p': 3}
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id: 572052
{'charpoly_factorization': [[[9, -189, 1188, -882, 198, 288, 6, 63, 27, -15, 12, -3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 5}
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id: 572053
{'charpoly_factorization': [[[289, 102, 735, -164, 0, 423, 570, 81, 9, 16, -6, -3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 7}
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id: 572054
{'charpoly_factorization': [[[9, -54, 216, -360, 630, 1575, 384, -306, 108, 114, 21, 3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 11}
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id: 572055
{'charpoly_factorization': [[[1, -105, 3165, -3053, 6291, -7758, 4269, -1269, 333, -2, 3, -3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 13}
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id: 572056
{'charpoly_factorization': [[[729, 2187, 8019, -1458, 7047, 1701, 2727, 567, 621, 189, 72, 9, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 17}
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id: 572057
{'charpoly_factorization': [[[361, 2280, 11208, 21604, 33354, 873, 6162, 252, 846, -14, 39, 3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 19}
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id: 572058
{'charpoly_factorization': [[[106929, 17658, 122688, -10224, 29952, 81288, 67857, 26100, 6804, 1488, 246, 24, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 23}
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id: 572059
{'charpoly_factorization': [[[45369, -141858, 528903, -740916, 528642, 795294, 358296, 97470, 20358, 3390, 408, 30, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 29}
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id: 572060
{'charpoly_factorization': [[[26569, 54768, 88287, 94552, 61830, 31554, 15042, 3375, -18, 79, 93, 15, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 31}
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id: 572061
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 37}
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id: 572062
{'charpoly_factorization': [[[11229201, -13903299, 9448056, -2329659, 2208555, 171063, -205194, 11880, 8046, -2022, 264, -21, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 41}
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id: 572063
{'charpoly_factorization': [[[3308761, -19983534, 51825903, -7763933, -527553, 491283, -57750, -3483, 4383, -929, 111, -12, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 43}
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id: 572064
{'charpoly_factorization': [[[42732369, -74306079, 56322189, -25123725, 8162865, -2122164, 435003, -47079, 3699, 438, -69, 3, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 47}
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id: 572065
{'charpoly_factorization': [[[-12393, 2916, 4617, 513, -108, -9, 1], 2]], 'hecke_orbit_code': 4503874538832115, 'p': 53}
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id: 572066
{'charpoly_factorization': [[[176384961, 111640086, 85850901, 54043290, 19660518, 5152347, 1251942, 198513, 14877, -150, 12, 15, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 59}
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id: 572067
{'charpoly_factorization': [[[273670849, -444675840, 337382565, -64939025, 19395909, 3457017, -998133, 9585, 28197, -3422, 255, -21, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 61}
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id: 572068
{'charpoly_factorization': [[[8288641, 16885335, 13019388, 7613269, 5511213, 563589, 743826, -137592, 2466, 610, 102, -21, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 67}
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id: 572069
{'charpoly_factorization': [[[729, -6561, 78003, 144342, 604827, -231093, 400761, 147015, 38205, 5103, 504, 27, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 71}
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id: 572070
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 73}
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id: 572071
{'charpoly_factorization': [[[3508129, 10895241, 10763322, 10657087, 18835119, -6384861, 816969, 20223, 6057, -2198, 255, -21, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 79}
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id: 572072
{'charpoly_factorization': [[[6951057129, -6092898840, 3061507563, -1060798014, 229593564, -27012600, 1797990, -242865, 51030, -6321, 597, -33, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 83}
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id: 572073
{'charpoly_factorization': [[[1062042921, 992530584, 765665784, 218178036, 61794900, 6160293, 1737990, 125712, 36666, 432, 261, 9, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 89}
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id: 572074
{'charpoly_factorization': [[[66765241, 353183304, 834928557, 572785423, 213245865, 53790471, 10083774, 1424223, 153369, 13273, 921, 42, 1], 1]], 'hecke_orbit_code': 4503874538832115, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '243.2.e.b', 'level': 243, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85201000
{'hecke_orbit_code': 4503874538832115, 'n': 1, 'trace_an': 12}
-
id: 85201001
{'hecke_orbit_code': 4503874538832115, 'n': 2, 'trace_an': -3}
-
id: 85201002
{'hecke_orbit_code': 4503874538832115, 'n': 3, 'trace_an': 0}
-
id: 85201003
{'hecke_orbit_code': 4503874538832115, 'n': 4, 'trace_an': 3}
-
id: 85201004
{'hecke_orbit_code': 4503874538832115, 'n': 5, 'trace_an': 3}
-
id: 85201005
{'hecke_orbit_code': 4503874538832115, 'n': 6, 'trace_an': 0}
-
id: 85201006
{'hecke_orbit_code': 4503874538832115, 'n': 7, 'trace_an': 3}
-
id: 85201007
{'hecke_orbit_code': 4503874538832115, 'n': 8, 'trace_an': -6}
-
id: 85201008
{'hecke_orbit_code': 4503874538832115, 'n': 9, 'trace_an': 0}
-
id: 85201009
{'hecke_orbit_code': 4503874538832115, 'n': 10, 'trace_an': -3}
-
id: 85201010
{'hecke_orbit_code': 4503874538832115, 'n': 11, 'trace_an': -3}
-
id: 85201011
{'hecke_orbit_code': 4503874538832115, 'n': 12, 'trace_an': 0}
-
id: 85201012
{'hecke_orbit_code': 4503874538832115, 'n': 13, 'trace_an': 3}
-
id: 85201013
{'hecke_orbit_code': 4503874538832115, 'n': 14, 'trace_an': -6}
-
id: 85201014
{'hecke_orbit_code': 4503874538832115, 'n': 15, 'trace_an': 0}
-
id: 85201015
{'hecke_orbit_code': 4503874538832115, 'n': 16, 'trace_an': -9}
-
id: 85201016
{'hecke_orbit_code': 4503874538832115, 'n': 17, 'trace_an': -9}
-
id: 85201017
{'hecke_orbit_code': 4503874538832115, 'n': 18, 'trace_an': 0}
-
id: 85201018
{'hecke_orbit_code': 4503874538832115, 'n': 19, 'trace_an': -3}
-
id: 85201019
{'hecke_orbit_code': 4503874538832115, 'n': 20, 'trace_an': 21}
-
id: 85201020
{'hecke_orbit_code': 4503874538832115, 'n': 21, 'trace_an': 0}
-
id: 85201021
{'hecke_orbit_code': 4503874538832115, 'n': 22, 'trace_an': -15}
-
id: 85201022
{'hecke_orbit_code': 4503874538832115, 'n': 23, 'trace_an': -24}
-
id: 85201023
{'hecke_orbit_code': 4503874538832115, 'n': 24, 'trace_an': 0}
-
id: 85201024
{'hecke_orbit_code': 4503874538832115, 'n': 25, 'trace_an': -15}
-
id: 85201025
{'hecke_orbit_code': 4503874538832115, 'n': 26, 'trace_an': 30}
-
id: 85201026
{'hecke_orbit_code': 4503874538832115, 'n': 27, 'trace_an': 0}
-
id: 85201027
{'hecke_orbit_code': 4503874538832115, 'n': 28, 'trace_an': -12}
-
id: 85201028
{'hecke_orbit_code': 4503874538832115, 'n': 29, 'trace_an': -30}
-
id: 85201029
{'hecke_orbit_code': 4503874538832115, 'n': 30, 'trace_an': 0}
-
id: 85201030
{'hecke_orbit_code': 4503874538832115, 'n': 31, 'trace_an': -15}
-
id: 85201031
{'hecke_orbit_code': 4503874538832115, 'n': 32, 'trace_an': 27}
-
id: 85201032
{'hecke_orbit_code': 4503874538832115, 'n': 33, 'trace_an': 0}
-
id: 85201033
{'hecke_orbit_code': 4503874538832115, 'n': 34, 'trace_an': -9}
-
id: 85201034
{'hecke_orbit_code': 4503874538832115, 'n': 35, 'trace_an': -12}
-
id: 85201035
{'hecke_orbit_code': 4503874538832115, 'n': 36, 'trace_an': 0}
-
id: 85201036
{'hecke_orbit_code': 4503874538832115, 'n': 37, 'trace_an': -3}
-
id: 85201037
{'hecke_orbit_code': 4503874538832115, 'n': 38, 'trace_an': 12}
-
id: 85201038
{'hecke_orbit_code': 4503874538832115, 'n': 39, 'trace_an': 0}
-
id: 85201039
{'hecke_orbit_code': 4503874538832115, 'n': 40, 'trace_an': -6}
-
id: 85201040
{'hecke_orbit_code': 4503874538832115, 'n': 41, 'trace_an': 21}
-
id: 85201041
{'hecke_orbit_code': 4503874538832115, 'n': 42, 'trace_an': 0}
-
id: 85201042
{'hecke_orbit_code': 4503874538832115, 'n': 43, 'trace_an': 12}
-
id: 85201043
{'hecke_orbit_code': 4503874538832115, 'n': 44, 'trace_an': -3}
-
id: 85201044
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