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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, '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, 27, 81, 117, 63, -36, -21, 27, 9, -6, 3, -3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793573107, '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, 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mf_hecke_cc • Show schema
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-0.23738054345921505, -0.037638085086003005, -0.4717218037163375, -0.4787930294937398, -0.1893760811811568, -0.12159801074891442, -0.17923675389820568, -0.2946607342046363, -0.1693606125854842, 0.2259024432088182, -0.22382204215781742, -0.4532173932241035, -0.35066858774009574, -0.4532576216989304, -0.34259650513554457, -0.4222198784916456, -0.2277005307568381, -0.3428072401976447, 0.1538380235223265], 'char_orbit_index': 5, 'conrey_index': 217, 'dual_conrey_index': 28, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 12, 'embedding_root_imag': -0.2586544027151079, 'embedding_root_real': 0.5, 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793573107, 'label': '243.2.e.d.217.2', '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_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, '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: 43178572
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43178573
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43178574
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.55.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43178575
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 16, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.16.2', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43178576
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 46, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.46.1', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43178577
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.55.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43178578
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43178579
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 22, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.22.2', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43178580
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.190.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43178581
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43178582
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43178583
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43178584
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43178585
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 43178586
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43178587
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.190.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43178588
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.37.1', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43178589
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 43178590
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.97.1', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 43178591
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 151, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.151.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43178592
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43178593
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.3', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43178594
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.49.1', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 43178595
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 76, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.76.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '135.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43178596
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.3', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '135.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 43178597
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 217, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793573107, 'source_is_minimal': False, 'source_label': '243.2.e.d.217.2', 'source_level': 243, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '135.112', 'twisting_conrey_index': 112, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 572225
{'charpoly_factorization': [[[9, 27, 81, 117, 63, -36, -21, 27, 9, -6, 3, -3, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 2}
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id: 572226
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 13511073793573107, 'p': 3}
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id: 572227
{'charpoly_factorization': [[[9, -54, 1134, -2439, 2250, -1287, 681, -279, 63, -12, 12, -6, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 5}
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id: 572228
{'charpoly_factorization': [[[289, 714, 429, -812, -450, 540, 84, -171, 162, -65, 21, -3, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 7}
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id: 572229
{'charpoly_factorization': [[[9, -27, -81, 36, 1386, -414, 735, -558, 63, -6, 21, 6, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 11}
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id: 572230
{'charpoly_factorization': [[[1, 21, 3102, 5452, 4734, -108, 948, -819, 243, 79, -24, -3, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 13}
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id: 572231
{'charpoly_factorization': [[[729, -2187, 8019, 1458, 7047, -1701, 2727, -567, 621, -189, 72, -9, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 17}
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id: 572232
{'charpoly_factorization': [[[361, 2280, 11208, 21604, 33354, 873, 6162, 252, 846, -14, 39, 3, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 19}
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id: 572233
{'charpoly_factorization': [[[106929, -247212, 169776, 78264, -98406, -27720, 24225, 13914, 4464, 888, 138, 12, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 23}
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id: 572234
{'charpoly_factorization': [[[45369, 61344, -151632, -692946, 915687, 786960, 345039, 100386, 20880, 3090, 327, 24, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 29}
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id: 572235
{'charpoly_factorization': [[[26569, 22494, 16404, -1352, 21501, -10665, 7023, 963, 108, 241, 12, -12, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 31}
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id: 572236
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 37}
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id: 572237
{'charpoly_factorization': [[[11229201, -29254230, 31283172, -17579412, 6172803, -1596987, 417561, -50031, 5814, -327, -6, -6, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 41}
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id: 572238
{'charpoly_factorization': [[[3308761, 24692925, 54952764, 13950466, 3541545, 931095, 137541, 17541, 4347, 772, 138, 15, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 43}
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id: 572239
{'charpoly_factorization': [[[42732369, -57009177, 45261585, -24482295, 8040582, -1324089, 87216, -18342, 10620, -1842, 147, -12, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 47}
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id: 572240
{'charpoly_factorization': [[[-12393, -2916, 4617, -513, -108, 9, 1], 2]], 'hecke_orbit_code': 13511073793573107, 'p': 53}
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id: 572241
{'charpoly_factorization': [[[176384961, 282088440, 228090411, 109668564, 36922050, 8350650, 1130874, 42327, -8010, -849, -15, 3, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 59}
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id: 572242
{'charpoly_factorization': [[[273670849, 457430493, 179562345, -33934979, 13846851, 6023916, 1440291, 380097, 69687, 7756, 633, 33, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 61}
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id: 572243
{'charpoly_factorization': [[[8288641, -3610266, 10480110, 112426, -566991, -178281, 969573, 6903, -9180, -443, -6, 6, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 67}
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id: 572244
{'charpoly_factorization': [[[729, 6561, 78003, -144342, 604827, 231093, 400761, -147015, 38205, -5103, 504, -27, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 71}
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id: 572245
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 73}
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id: 572246
{'charpoly_factorization': [[[3508129, -9046590, 24350064, -30480464, 20461122, 2217915, -932712, -14994, 19440, -2198, 255, -21, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 79}
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id: 572247
{'charpoly_factorization': [[[6951057129, 4485634146, 1777646736, 462191166, 131905323, 21181977, 2980617, 366309, 12564, -2589, -186, 6, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 83}
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id: 572248
{'charpoly_factorization': [[[1062042921, -992530584, 765665784, -218178036, 61794900, -6160293, 1737990, -125712, 36666, -432, 261, -9, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 89}
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id: 572249
{'charpoly_factorization': [[[66765241, -374338023, 619238670, -98884478, 37439883, -3317463, 778089, -136035, 29889, -5276, 624, -39, 1], 1]], 'hecke_orbit_code': 13511073793573107, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '243.2.e.d', 'level': 243, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 36420289
{'hecke_orbit_code': 13511073793573107, 'n': 1, 'trace_an': 12}
-
id: 36420290
{'hecke_orbit_code': 13511073793573107, 'n': 2, 'trace_an': 3}
-
id: 36420291
{'hecke_orbit_code': 13511073793573107, 'n': 3, 'trace_an': 0}
-
id: 36420292
{'hecke_orbit_code': 13511073793573107, 'n': 4, 'trace_an': 3}
-
id: 36420293
{'hecke_orbit_code': 13511073793573107, 'n': 5, 'trace_an': 6}
-
id: 36420294
{'hecke_orbit_code': 13511073793573107, 'n': 6, 'trace_an': 0}
-
id: 36420295
{'hecke_orbit_code': 13511073793573107, 'n': 7, 'trace_an': 3}
-
id: 36420296
{'hecke_orbit_code': 13511073793573107, 'n': 8, 'trace_an': 6}
-
id: 36420297
{'hecke_orbit_code': 13511073793573107, 'n': 9, 'trace_an': 0}
-
id: 36420298
{'hecke_orbit_code': 13511073793573107, 'n': 10, 'trace_an': -3}
-
id: 36420299
{'hecke_orbit_code': 13511073793573107, 'n': 11, 'trace_an': -6}
-
id: 36420300
{'hecke_orbit_code': 13511073793573107, 'n': 12, 'trace_an': 0}
-
id: 36420301
{'hecke_orbit_code': 13511073793573107, 'n': 13, 'trace_an': 3}
-
id: 36420302
{'hecke_orbit_code': 13511073793573107, 'n': 14, 'trace_an': -21}
-
id: 36420303
{'hecke_orbit_code': 13511073793573107, 'n': 15, 'trace_an': 0}
-
id: 36420304
{'hecke_orbit_code': 13511073793573107, 'n': 16, 'trace_an': 9}
-
id: 36420305
{'hecke_orbit_code': 13511073793573107, 'n': 17, 'trace_an': 9}
-
id: 36420306
{'hecke_orbit_code': 13511073793573107, 'n': 18, 'trace_an': 0}
-
id: 36420307
{'hecke_orbit_code': 13511073793573107, 'n': 19, 'trace_an': -3}
-
id: 36420308
{'hecke_orbit_code': 13511073793573107, 'n': 20, 'trace_an': 24}
-
id: 36420309
{'hecke_orbit_code': 13511073793573107, 'n': 21, 'trace_an': 0}
-
id: 36420310
{'hecke_orbit_code': 13511073793573107, 'n': 22, 'trace_an': 12}
-
id: 36420311
{'hecke_orbit_code': 13511073793573107, 'n': 23, 'trace_an': -12}
-
id: 36420312
{'hecke_orbit_code': 13511073793573107, 'n': 24, 'trace_an': 0}
-
id: 36420313
{'hecke_orbit_code': 13511073793573107, 'n': 25, 'trace_an': 12}
-
id: 36420314
{'hecke_orbit_code': 13511073793573107, 'n': 26, 'trace_an': -30}
-
id: 36420315
{'hecke_orbit_code': 13511073793573107, 'n': 27, 'trace_an': 0}
-
id: 36420316
{'hecke_orbit_code': 13511073793573107, 'n': 28, 'trace_an': -12}
-
id: 36420317
{'hecke_orbit_code': 13511073793573107, 'n': 29, 'trace_an': -24}
-
id: 36420318
{'hecke_orbit_code': 13511073793573107, 'n': 30, 'trace_an': 0}
-
id: 36420319
{'hecke_orbit_code': 13511073793573107, 'n': 31, 'trace_an': 12}
-
id: 36420320
{'hecke_orbit_code': 13511073793573107, 'n': 32, 'trace_an': 27}
-
id: 36420321
{'hecke_orbit_code': 13511073793573107, 'n': 33, 'trace_an': 0}
-
id: 36420322
{'hecke_orbit_code': 13511073793573107, 'n': 34, 'trace_an': 0}
-
id: 36420323
{'hecke_orbit_code': 13511073793573107, 'n': 35, 'trace_an': 12}
-
id: 36420324
{'hecke_orbit_code': 13511073793573107, 'n': 36, 'trace_an': 0}
-
id: 36420325
{'hecke_orbit_code': 13511073793573107, 'n': 37, 'trace_an': -3}
-
id: 36420326
{'hecke_orbit_code': 13511073793573107, 'n': 38, 'trace_an': -30}
-
id: 36420327
{'hecke_orbit_code': 13511073793573107, 'n': 39, 'trace_an': 0}
-
id: 36420328
{'hecke_orbit_code': 13511073793573107, 'n': 40, 'trace_an': -15}
-
id: 36420329
{'hecke_orbit_code': 13511073793573107, 'n': 41, 'trace_an': 6}
-
id: 36420330
{'hecke_orbit_code': 13511073793573107, 'n': 42, 'trace_an': 0}
-
id: 36420331
{'hecke_orbit_code': 13511073793573107, 'n': 43, 'trace_an': -15}
-
id: 36420332
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{'hecke_orbit_code': 13511073793573107, 'n': 911, 'trace_an': -78}
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id: 36420534
{'hecke_orbit_code': 13511073793573107, 'n': 919, 'trace_an': 24}
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id: 36420535
{'hecke_orbit_code': 13511073793573107, 'n': 929, 'trace_an': 93}
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id: 36420536
{'hecke_orbit_code': 13511073793573107, 'n': 937, 'trace_an': -84}
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id: 36420537
{'hecke_orbit_code': 13511073793573107, 'n': 941, 'trace_an': 24}
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id: 36420538
{'hecke_orbit_code': 13511073793573107, 'n': 947, 'trace_an': 192}
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id: 36420539
{'hecke_orbit_code': 13511073793573107, 'n': 953, 'trace_an': 36}
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id: 36420540
{'hecke_orbit_code': 13511073793573107, 'n': 961, 'trace_an': 120}
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id: 36420541
{'hecke_orbit_code': 13511073793573107, 'n': 967, 'trace_an': -15}
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id: 36420542
{'hecke_orbit_code': 13511073793573107, 'n': 971, 'trace_an': -144}
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id: 36420543
{'hecke_orbit_code': 13511073793573107, 'n': 977, 'trace_an': -12}
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id: 36420544
{'hecke_orbit_code': 13511073793573107, 'n': 983, 'trace_an': -168}
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id: 36420545
{'hecke_orbit_code': 13511073793573107, 'n': 991, 'trace_an': -102}
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id: 36420546
{'hecke_orbit_code': 13511073793573107, 'n': 997, 'trace_an': -123}