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mf_newforms • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 2, 'char_parity': 1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1009, 'conrey_indexes': [1009], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -2, 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, [-8, -20, 2, 1]], [13, [64, 0, 176, 0, 28, 0, 1]], [19, [8, -12, -2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36030102722578064, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 2, 'char_parity': 1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [2, 2, 2, 1, 2]], 'conrey_index': 1009, 'cusp_dim': 360, 'dim': 36, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 19], 'hecke_orbit_code': 1305703614096, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 6], 'label': '1680.2.t', 'level': 1680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 408, 'mf_new_dim': 36, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 768, 'trace_bound': 15, 'trace_display': [0, 0, -4, 0], 'traces': [36, 0, 0, 0, -4, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, 4, 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mf_twists_cc • Show schema
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id: 46741951
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36030102722578064, 'target_is_minimal': False, 'target_label': '1680.2.t.i.1009.6', 'target_level': 1680, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46741952
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117094896015250352, 'target_is_minimal': False, 'target_label': '5040.2.t.ba.1009.1', 'target_level': 5040, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46741953
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015704213095240, 'target_is_minimal': True, 'target_label': '840.2.t.e.169.3', 'target_level': 840, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46741954
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 396316767242166480, 'target_is_minimal': False, 'target_label': '8400.2.a.dk.1.2', 'target_level': 8400, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46741955
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 382805968360054992, 'target_is_minimal': False, 'target_label': '8400.2.a.dh.1.2', 'target_level': 8400, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46741956
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36030102722578064, 'target_is_minimal': False, 'target_label': '1680.2.t.i.1009.3', 'target_level': 1680, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46741957
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533702349949400, 'target_is_minimal': False, 'target_label': '2520.2.t.j.1009.1', 'target_level': 2520, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46741958
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117094896015250352, 'target_is_minimal': False, 'target_label': '5040.2.t.ba.1009.2', 'target_level': 5040, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46741959
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383119464, 'target_is_minimal': False, 'target_label': '4200.2.a.bq.1.2', 'target_level': 4200, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46741960
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128378472, 'target_is_minimal': False, 'target_label': '4200.2.a.bo.1.2', 'target_level': 4200, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46741961
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18015704213095240, 'target_is_minimal': True, 'target_label': '840.2.t.e.169.6', 'target_level': 840, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46741962
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1009, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36030102722578064, 'source_is_minimal': False, 'source_label': '1680.2.t.i.1009.6', 'source_level': 1680, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533702349949400, 'target_is_minimal': False, 'target_label': '2520.2.t.j.1009.2', 'target_level': 2520, 'twist_class_label': '840.2.t.e.169.3', 'twist_class_level': 840, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2125600
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36030102722578064, 'p': 2}
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id: 2125601
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 36030102722578064, 'p': 3}
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id: 2125602
{'charpoly_factorization': [[[125, 50, 15, 12, 3, 2, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 5}
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id: 2125603
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 36030102722578064, 'p': 7}
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id: 2125604
{'charpoly_factorization': [[[-8, -20, 2, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 11}
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id: 2125605
{'charpoly_factorization': [[[64, 0, 176, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 13}
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id: 2125606
{'charpoly_factorization': [[[256, 0, 256, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 17}
-
id: 2125607
{'charpoly_factorization': [[[8, -12, -2, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 19}
-
id: 2125608
{'charpoly_factorization': [[[256, 0, 320, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 23}
-
id: 2125609
{'charpoly_factorization': [[[-104, -84, 2, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 29}
-
id: 2125610
{'charpoly_factorization': [[[8, -12, -2, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 31}
-
id: 2125611
{'charpoly_factorization': [[[4096, 0, 2816, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 37}
-
id: 2125612
{'charpoly_factorization': [[[-40, 52, -14, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 41}
-
id: 2125613
{'charpoly_factorization': [[[102400, 0, 7936, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 43}
-
id: 2125614
{'charpoly_factorization': [[[65536, 0, 8192, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 47}
-
id: 2125615
{'charpoly_factorization': [[[222784, 0, 14000, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 53}
-
id: 2125616
{'charpoly_factorization': [[[256, -64, -8, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 59}
-
id: 2125617
{'charpoly_factorization': [[[-536, -148, -2, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 61}
-
id: 2125618
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36030102722578064, 'p': 67}
-
id: 2125619
{'charpoly_factorization': [[[-200, -100, -6, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 71}
-
id: 2125620
{'charpoly_factorization': [[[577600, 0, 24496, 0, 284, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 73}
-
id: 2125621
{'charpoly_factorization': [[[-64, 80, 20, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 79}
-
id: 2125622
{'charpoly_factorization': [[[65536, 0, 8192, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 83}
-
id: 2125623
{'charpoly_factorization': [[[-200, -60, 2, 1], 2]], 'hecke_orbit_code': 36030102722578064, 'p': 89}
-
id: 2125624
{'charpoly_factorization': [[[118336, 0, 9648, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 36030102722578064, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 9, 'label': '1680.2.t.i', 'level': 1680, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202586000
{'hecke_orbit_code': 36030102722578064, 'n': 1, 'trace_an': 6}
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id: 202586001
{'hecke_orbit_code': 36030102722578064, 'n': 2, 'trace_an': 0}
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id: 202586002
{'hecke_orbit_code': 36030102722578064, 'n': 3, 'trace_an': 0}
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id: 202586003
{'hecke_orbit_code': 36030102722578064, 'n': 4, 'trace_an': 0}
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id: 202586004
{'hecke_orbit_code': 36030102722578064, 'n': 5, 'trace_an': -2}
-
id: 202586005
{'hecke_orbit_code': 36030102722578064, 'n': 6, 'trace_an': 0}
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id: 202586006
{'hecke_orbit_code': 36030102722578064, 'n': 7, 'trace_an': 0}
-
id: 202586007
{'hecke_orbit_code': 36030102722578064, 'n': 8, 'trace_an': 0}
-
id: 202586008
{'hecke_orbit_code': 36030102722578064, 'n': 9, 'trace_an': -6}
-
id: 202586009
{'hecke_orbit_code': 36030102722578064, 'n': 10, 'trace_an': 0}
-
id: 202586010
{'hecke_orbit_code': 36030102722578064, 'n': 11, 'trace_an': -4}
-
id: 202586011
{'hecke_orbit_code': 36030102722578064, 'n': 12, 'trace_an': 0}
-
id: 202586012
{'hecke_orbit_code': 36030102722578064, 'n': 13, 'trace_an': 0}
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id: 202586013
{'hecke_orbit_code': 36030102722578064, 'n': 14, 'trace_an': 0}
-
id: 202586014
{'hecke_orbit_code': 36030102722578064, 'n': 15, 'trace_an': 0}
-
id: 202586015
{'hecke_orbit_code': 36030102722578064, 'n': 16, 'trace_an': 0}
-
id: 202586016
{'hecke_orbit_code': 36030102722578064, 'n': 17, 'trace_an': 0}
-
id: 202586017
{'hecke_orbit_code': 36030102722578064, 'n': 18, 'trace_an': 0}
-
id: 202586018
{'hecke_orbit_code': 36030102722578064, 'n': 19, 'trace_an': 4}
-
id: 202586019
{'hecke_orbit_code': 36030102722578064, 'n': 20, 'trace_an': 0}
-
id: 202586020
{'hecke_orbit_code': 36030102722578064, 'n': 21, 'trace_an': 6}
-
id: 202586021
{'hecke_orbit_code': 36030102722578064, 'n': 22, 'trace_an': 0}
-
id: 202586022
{'hecke_orbit_code': 36030102722578064, 'n': 23, 'trace_an': 0}
-
id: 202586023
{'hecke_orbit_code': 36030102722578064, 'n': 24, 'trace_an': 0}
-
id: 202586024
{'hecke_orbit_code': 36030102722578064, 'n': 25, 'trace_an': -2}
-
id: 202586025
{'hecke_orbit_code': 36030102722578064, 'n': 26, 'trace_an': 0}
-
id: 202586026
{'hecke_orbit_code': 36030102722578064, 'n': 27, 'trace_an': 0}
-
id: 202586027
{'hecke_orbit_code': 36030102722578064, 'n': 28, 'trace_an': 0}
-
id: 202586028
{'hecke_orbit_code': 36030102722578064, 'n': 29, 'trace_an': -4}
-
id: 202586029
{'hecke_orbit_code': 36030102722578064, 'n': 30, 'trace_an': 0}
-
id: 202586030
{'hecke_orbit_code': 36030102722578064, 'n': 31, 'trace_an': 4}
-
id: 202586031
{'hecke_orbit_code': 36030102722578064, 'n': 32, 'trace_an': 0}
-
id: 202586032
{'hecke_orbit_code': 36030102722578064, 'n': 33, 'trace_an': 0}
-
id: 202586033
{'hecke_orbit_code': 36030102722578064, 'n': 34, 'trace_an': 0}
-
id: 202586034
{'hecke_orbit_code': 36030102722578064, 'n': 35, 'trace_an': 0}
-
id: 202586035
{'hecke_orbit_code': 36030102722578064, 'n': 36, 'trace_an': 0}
-
id: 202586036
{'hecke_orbit_code': 36030102722578064, 'n': 37, 'trace_an': 0}
-
id: 202586037
{'hecke_orbit_code': 36030102722578064, 'n': 38, 'trace_an': 0}
-
id: 202586038
{'hecke_orbit_code': 36030102722578064, 'n': 39, 'trace_an': 4}
-
id: 202586039
{'hecke_orbit_code': 36030102722578064, 'n': 40, 'trace_an': 0}
-
id: 202586040
{'hecke_orbit_code': 36030102722578064, 'n': 41, 'trace_an': 28}
-
id: 202586041
{'hecke_orbit_code': 36030102722578064, 'n': 42, 'trace_an': 0}
-
id: 202586042
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