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mf_newforms • Show schema
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{'Nk2': 15120, 'analytic_conductor': 45.77668441252988, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 2, 'char_parity': -1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [1, 2, 2, 2, 2]], 'cm_discs': [], 'conrey_index': 1471, 'dim': 16, 'field_disc': 3803591212963299228515625, 'field_disc_factorization': [[3, 8], [5, 10], [7, 8], [3209, 2]], 'field_poly': [92164, -191418, 155185, -81896, 87351, -121640, 98500, -49514, 23723, -10997, 2453, 605, -535, 115, 6, -7, 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': [[11, [470560911917056, 0, 514341392613376, 0, 40011680448512, 0, 1159167213568, 0, 16624844800, 0, 129339392, 0, 549632, 0, 1184, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008092658271888, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 68719476736, 'hecke_ring_index_factorization': [[2, 36]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 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': True, 'label': '1680.3.n.c', 'level': 1680, '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, 5, 7], 'level_radical': 210, 'minimal_twist': '1680.3.n.c', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{7}q^{3}+\\beta _{1}q^{5}+\\beta _{8}q^{7}-3q^{9}+(\\beta _{7}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1680.3.n', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 15120, 'analytic_conductor': 45.77668441252988, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 2, 'char_parity': -1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [1, 2, 2, 2, 2]], 'conrey_index': 1471, 'cusp_dim': 744, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 893403530896, 'hecke_orbit_dims': [16, 16, 16], 'label': '1680.3.n', 'level': 1680, '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, 5, 7], 'level_radical': 210, 'mf_dim': 792, 'mf_new_dim': 48, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1152, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 1152, 0, 0, 0, 288, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, -384, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 2112, 0, 0, 0, 0, 0, 0, 0, 672, 0, 0, 0, -1344, 0, 0, 0, -720, 0, 0, 0, 1920, 0, 0, 0, -192, 0, 0, 0, -576, 0, 0, 0, 1632, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 2688, 0, 0, 0, -3456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1920, 0, 0, 0, 0, 0, 0, 0, -1920, 0, 0, 0, 1248, 0, 0, 0, 0, 0, 0, 0, 912, 0, 0, 0, -1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 1728, 0, 0, 0, 960, 0, 0, 0, 1152, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, 0, 0, -2208, 0, 0, 0, 2688, 0, 0, 0, 1440, 0, 0, 0, -960, 0, 0, 0, 1920, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -2688, 0, 0, 0, -4224, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -3456, 0, 0, 0, -288, 0, 0, 0, 576, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -1824, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -576, 0, 0, 0, 5760, 0, 0, 0, 1008, 0, 0, 0, 480, 0, 0, 0, 2400, 0, 0, 0, -1152, 0, 0, 0, 2592, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 2112, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, 0, 0, 0, 0, -1440, 0, 0, 0, -4800, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 960, 0, 0, 0, -1152, 0, 0, 0, 0, 0, 0, 0, 4224, 0, 0, 0, -5952, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -3456, 0, 0, 0, 2880, 0, 0, 0, -480, 0, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4224, 0, 0, 0, -2880, 0, 0, 0, -2880, 0, 0, 0, -672, 0, 0, 0, 1728, 0, 0, 0, 1536, 0, 0, 0, -1344, 0, 0, 0, 0, 0, 0, 0, 1632, 0, 0, 0, 1536, 0, 0, 0, -2880, 0, 0, 0, -3360, 0, 0, 0, 0, 0, 0, 0, -2016, 0, 0, 0, 3648, 0, 0, 0, 6144, 0, 0, 0, 0, 0, 0, 0, 1200, 0, 0, 0, -384, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 0, 0, -1440, 0, 0, 0, -2496, 0, 0, 0, -1920, 0, 0, 0, 0, 0, 0, 0, 5376, 0, 0, 0, 0, 0, 0, 0, 3456, 0, 0, 0, -2208, 0, 0, 0, -3456, 0, 0, 0, 288, 0, 0, 0, 960, 0, 0, 0, 1536, 0, 0, 0, 0, 0, 0, 0, -960, 0, 0, 0, -6912, 0, 0, 0, 1440, 0, 0, 0, 4512, 0, 0, 0, 0, 0, 0, 0, -3456, 0, 0, 0, -1344, 0, 0, 0, 0, 0, 0, 0, -1296, 0, 0, 0, -960, 0, 0, 0, -3648, 0, 0, 0, 1728, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, -4896, 0, 0, 0, -8640, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 3072, 0, 0, 0, 0, 0, 0, 0, 2208, 0, 0, 0, -960, 0, 0, 0, 1728, 0, 0, 0, 192, 0, 0, 0, 2304, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 2400, 0, 0, 0, 4032, 0, 0, 0, 7104, 0, 0, 0, 3456, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5904, 0, 0, 0, 1920, 0, 0, 0, -1152, 0, 0, 0, 4608, 0, 0, 0, -13824, 0, 0, 0, 2016, 0, 0, 0, -480, 0, 0, 0, -6720, 0, 0, 0, -1728, 0, 0, 0, -6720, 0, 0, 0, 6912, 0, 0, 0, -2880, 0, 0, 0, 672, 0, 0, 0, -1152, 0, 0, 0, 4032, 0, 0, 0, -6144, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 0, 0, 4800, 0, 0, 0, -2688, 0, 0, 0, -2304, 0, 0, 0, 0, 0, 0, 0, -960, 0, 0, 0, 1152, 0, 0, 0, -768, 0, 0, 0, 4224, 0, 0, 0, 0, 0, 0, 0, 3936, 0, 0, 0, 2304, 0, 0, 0, -5184, 0, 0, 0, -3696, 0, 0, 0, 5760, 0, 0, 0, 0, 0, 0, 0, 4032, 0, 0, 0, -8640, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 4992, 0, 0, 0, -1728, 0, 0, 0, -2880, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 41345641
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1471, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 9008092658271888, 'source_is_minimal': True, 'source_label': '1680.3.n.c.1471.16', 'source_level': 1680, 'target_conrey_index': 1471, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 9008092658271888, 'target_is_minimal': True, 'target_label': '1680.3.n.c.1471.16', 'target_level': 1680, 'twist_class_label': '1680.3.n.c.1471.5', 'twist_class_level': 1680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 41345642
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1471, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 9008092658271888, 'source_is_minimal': True, 'source_label': '1680.3.n.c.1471.16', 'source_level': 1680, 'target_conrey_index': 1471, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9008092658271888, 'target_is_minimal': True, 'target_label': '1680.3.n.c.1471.5', 'target_level': 1680, 'twist_class_label': '1680.3.n.c.1471.5', 'twist_class_level': 1680, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 2127075
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008092658271888, 'p': 2}
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id: 2127076
{'charpoly_factorization': [[[3, 0, 1], 8]], 'hecke_orbit_code': 9008092658271888, 'p': 3}
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id: 2127077
{'charpoly_factorization': [[[-5, 0, 1], 8]], 'hecke_orbit_code': 9008092658271888, 'p': 5}
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id: 2127078
{'charpoly_factorization': [[[7, 0, 1], 8]], 'hecke_orbit_code': 9008092658271888, 'p': 7}
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id: 2127079
{'charpoly_factorization': [[[470560911917056, 0, 514341392613376, 0, 40011680448512, 0, 1159167213568, 0, 16624844800, 0, 129339392, 0, 549632, 0, 1184, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 11}
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id: 2127080
{'charpoly_factorization': [[[-91821824, 30563840, 745728, -877696, 21984, 8096, -304, -24, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 13}
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id: 2127081
{'charpoly_factorization': [[[12887296, -14558208, 2259968, 1178880, -174304, -24000, -32, 48, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 17}
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id: 2127082
{'charpoly_factorization': [[[21186390771367936, 0, 1674087339065868288, 0, 32944394608836608, 0, 268507115683840, 0, 1171157876736, 0, 2942095360, 0, 4240128, 0, 3232, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 19}
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id: 2127083
{'charpoly_factorization': [[[926080229888229376, 0, 111059462982205440, 0, 4302347744313344, 0, 64932319068160, 0, 466284773376, 0, 1730375680, 0, 3327744, 0, 3040, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 23}
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id: 2127084
{'charpoly_factorization': [[[258183424, 1469431296, 1086268160, -139479680, 50016, 231328, -3408, -56, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 29}
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id: 2127085
{'charpoly_factorization': [[[8358957504293502976, 0, 9274074221347078144, 0, 1320969520306716672, 0, 23359212111265792, 0, 72963404267520, 0, 82652459008, 0, 43235072, 0, 10656, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 31}
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id: 2127086
{'charpoly_factorization': [[[-198934225664, 68168641536, 7435335168, 92483840, -10093664, -304320, 832, 112, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 37}
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id: 2127087
{'charpoly_factorization': [[[1175024800000, 268086400000, 5184480000, -1004896000, 7234400, 574400, -6480, -80, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 41}
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id: 2127088
{'charpoly_factorization': [[[42538500391712303670624256, 0, 444660835415470192459776, 0, 1578777177292795805696, 0, 2340572055250927616, 0, 1740524121882624, 0, 713626456064, 0, 164452608, 0, 20000, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 43}
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id: 2127089
{'charpoly_factorization': [[[1025352149757853696, 0, 8418716766837932032, 0, 1889051355767635968, 0, 12327481313853440, 0, 31782809501696, 0, 40772587520, 0, 27042048, 0, 8608, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 47}
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id: 2127090
{'charpoly_factorization': [[[146263348480, 95558302720, 17321943040, 1065519360, 15547936, -442048, -9696, 48, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 53}
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id: 2127091
{'charpoly_factorization': [[[35928326186141914702544896, 0, 293320661101842287034368, 0, 967478325115713748992, 0, 1653071283937607680, 0, 1562128375218176, 0, 809190522880, 0, 213654528, 0, 24704, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 59}
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id: 2127092
{'charpoly_factorization': [[[19981935575296, -3939372971520, -229498634496, -75870080, 109312096, 376800, -17936, -40, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 61}
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id: 2127093
{'charpoly_factorization': [[[51053165288088816554906484736, 0, 160170269865580472127455232, 0, 191935203452555569922048, 0, 113461103087001272320, 0, 36779241575940096, 0, 6867320934400, 0, 736843008, 0, 42208, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 67}
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id: 2127094
{'charpoly_factorization': [[[927206197096247455645696, 0, 126340388276843384406016, 0, 1886094873684351123456, 0, 5164264191621595136, 0, 5178613813673984, 0, 2193472630784, 0, 419543808, 0, 34720, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 71}
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id: 2127095
{'charpoly_factorization': [[[-356882398976, -434170146304, 8834443008, 3064839296, 67373664, -522400, -16912, 24, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 73}
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id: 2127096
{'charpoly_factorization': [[[9219237943109298733245792256, 0, 37078203360845320209563648, 0, 54066790039313545428992, 0, 39722624843786485760, 0, 16438574454931456, 0, 3951481323520, 0, 537817088, 0, 37504, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 79}
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id: 2127097
{'charpoly_factorization': [[[3746500839301266403791732736, 0, 90024825766146963241172992, 0, 172397164612188050030592, 0, 128695062935004774400, 0, 47796975934242816, 0, 9554471649280, 0, 1023024128, 0, 53376, 0, 1], 1]], 'hecke_orbit_code': 9008092658271888, 'p': 83}
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id: 2127098
{'charpoly_factorization': [[[8318684410810624, -129607533933568, -4615064202496, 35395301120, 770200416, -3074496, -48720, 80, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 89}
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id: 2127099
{'charpoly_factorization': [[[134282266337536, -50475797386752, 2356315644672, -18663041920, -398804384, 5487840, 4528, -296, 1], 2]], 'hecke_orbit_code': 9008092658271888, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 3, 'label': '1680.3.n.c', 'level': 1680, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 31614007
{'hecke_orbit_code': 9008092658271888, 'n': 1, 'trace_an': 16}
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id: 31614008
{'hecke_orbit_code': 9008092658271888, 'n': 2, 'trace_an': 0}
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id: 31614009
{'hecke_orbit_code': 9008092658271888, 'n': 3, 'trace_an': 0}
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id: 31614010
{'hecke_orbit_code': 9008092658271888, 'n': 4, 'trace_an': 0}
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id: 31614011
{'hecke_orbit_code': 9008092658271888, 'n': 5, 'trace_an': 0}
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id: 31614012
{'hecke_orbit_code': 9008092658271888, 'n': 6, 'trace_an': 0}
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