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mf_newforms • Show schema
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{'Nk2': 1120, 'analytic_conductor': 4.130133700401843, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [7, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [70, 1, [57, 31], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321849926, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '70.4.a.c', 'level': 70, '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': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.4.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}-q^{3}+4q^{4}-5q^{5}+2q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '70.4.a', 'trace_display': [-2, -1, -5, 7], 'trace_hash': 851037626735400356, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-2], [-1], [4], [-5], [2], [7], [-8], [-26], [10], [-65], [-4], [13], [-14], [5], [16], [-73], [52], [-142], [-20], [-7], [130], [130], [8], [25], [-26], [53], [28], [111], [-10], [256], [-32], [65], [146], [-35], [-104], [-266], [284], [-13], [40], [-424], [14], [534], [-260], [130], [-260], [-269], [-16], [49], [-50], [73], [52], [-132], [-106], [325], [-56], [142], [-222], [-224], [20], [-572], [-512], [-182], [64], [-65], [-130], [-108], [-292], [-130], [70], [560], [208], [586], [532], [-25], [-568], [-455], [26], [57], [-80], [649], [848], [252], [-28], [365], [-1068], [-111], [520], [-184], [-260], [91], [520], [-256], [538], [710], [32], [-605], [-98], [1690], [100]], 'ap': [[-2], [-1], [-5], [7], [-65], [13], [-73], [-142], [130], [111], [256], [-266], [-424], [534], [-269], [-132], [-224], [-572], [-108], [560], [586], [57], [252], [-184], [-605], [-750], [-337], [634], [-827], [-1862], [48], [-582], [-344], [-1894], [618], [233], [-2218], [-2298], [311], [-1081], [-908], [-460], [4679], [-2528], [4404], [-1240], [-2959], [5559], [-5109], [3184], [4552], [-1819], [-4470], [-5258], [6566], [2730], [6762], [-6276], [-3610], [-3821], [-931], [-1773], [7469], [-1174], [7945], [-2578], [28], [398], [2142], [-7282], [5739], [904], [9451], [-10888], [1276], [588], [2577], [8575], [5217], [-5594], [-6036], [-14915], [3219], [-6942], [-1978], [6254], [14287], [-6860], [8552], [2876], [-9287], [11466], [17898], [3333], [-14141], [-17735], [-1246], [14346], [15596], [23], [12076], [-23528], [-420], [3234], [19372], [-5011], [-5904], [-14883], [-7021], [-10474], [9609], [-934], [-25358], [-11486], [12459], [5442], [-11513], [-29744], [27254], [-11861], [-5320], [1688], [23061], [14804], [-1196], [-18237], [16351], [-13902], [-4992], [38505], [-5649], [-25308], [-335], [7304], [31082], [-16994], [-33083], [-41269], [40431], [-31991], [-18498], [9601], [-22640], [28818], [20384], [-28842], [-11618], [-14926], [-2764], [-4332], [-24274], [5136], [6280], [-20312], [42618], [47808], [-34211], [19084], [-381], [11196], [28908], [4068], [-9026], [38844], [-1302], [31337], [-24296], [46931]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199321849926, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '70.4.a.c', 'level': 70, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [1, 1, 1, 1, 0, 1, 1, 0], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [5, 2, 2, 3, 4, 3, 2, 5], 'Nk2': 1120, 'analytic_conductor': 4.130133700401843, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [70, 1, [57, 31], [1, 1]], 'conrey_index': 1, 'cusp_dim': 32, 'dim': 6, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 67108934, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1], 'label': '70.4.a', 'level': 70, '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': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 40, 'mf_new_dim': 6, 'num_forms': 6, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [-4, 4, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 59866
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '70.4.a.c', 'target_level': 70, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 59867
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '350.4.a.r', 'target_level': 350, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 59868
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '350.4.c.h', 'target_level': 350, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 59869
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '490.4.a.d', 'target_level': 490, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 59870
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '490.4.e.n', 'target_level': 490, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 59871
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '490.4.e.o', 'target_level': 490, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 59872
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '560.4.a.i', 'target_level': 560, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 59873
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '630.4.a.x', 'target_level': 630, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 59874
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2240.4.a.r', 'target_level': 2240, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 59875
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2240.4.a.v', 'target_level': 2240, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 59876
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '70.4.a.c', 'source_level': 70, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2450.4.a.bc', 'target_level': 2450, 'twist_class_label': '70.4.a.c', 'twist_class_level': 70, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 220875
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 2}
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id: 220876
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 3}
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id: 220877
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 5}
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id: 220878
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 7}
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id: 220879
{'charpoly_factorization': [[[65, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 11}
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id: 220880
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 13}
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id: 220881
{'charpoly_factorization': [[[73, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 17}
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id: 220882
{'charpoly_factorization': [[[142, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 19}
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id: 220883
{'charpoly_factorization': [[[-130, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 23}
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id: 220884
{'charpoly_factorization': [[[-111, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 29}
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id: 220885
{'charpoly_factorization': [[[-256, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 31}
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id: 220886
{'charpoly_factorization': [[[266, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 37}
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id: 220887
{'charpoly_factorization': [[[424, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 41}
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id: 220888
{'charpoly_factorization': [[[-534, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 43}
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id: 220889
{'charpoly_factorization': [[[269, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 47}
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id: 220890
{'charpoly_factorization': [[[132, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 53}
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id: 220891
{'charpoly_factorization': [[[224, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 59}
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id: 220892
{'charpoly_factorization': [[[572, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 61}
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id: 220893
{'charpoly_factorization': [[[108, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 67}
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id: 220894
{'charpoly_factorization': [[[-560, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 71}
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id: 220895
{'charpoly_factorization': [[[-586, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 73}
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id: 220896
{'charpoly_factorization': [[[-57, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 79}
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id: 220897
{'charpoly_factorization': [[[-252, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 83}
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id: 220898
{'charpoly_factorization': [[[184, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 89}
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id: 220899
{'charpoly_factorization': [[[605, 1], 1]], 'hecke_orbit_code': 9007199321849926, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '70.4.a.c', 'level': 70, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 28321927
{'hecke_orbit_code': 9007199321849926, 'n': 1, 'trace_an': 1}
-
id: 28321928
{'hecke_orbit_code': 9007199321849926, 'n': 2, 'trace_an': -2}
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id: 28321929
{'hecke_orbit_code': 9007199321849926, 'n': 3, 'trace_an': -1}
-
id: 28321930
{'hecke_orbit_code': 9007199321849926, 'n': 4, 'trace_an': 4}
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id: 28321931
{'hecke_orbit_code': 9007199321849926, 'n': 5, 'trace_an': -5}
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id: 28321932
{'hecke_orbit_code': 9007199321849926, 'n': 6, 'trace_an': 2}
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id: 28321933
{'hecke_orbit_code': 9007199321849926, 'n': 7, 'trace_an': 7}
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id: 28321934
{'hecke_orbit_code': 9007199321849926, 'n': 8, 'trace_an': -8}
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id: 28321935
{'hecke_orbit_code': 9007199321849926, 'n': 9, 'trace_an': -26}
-
id: 28321936
{'hecke_orbit_code': 9007199321849926, 'n': 10, 'trace_an': 10}
-
id: 28321937
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