Embedded newform data - 81.10.e.a.10.13

Formats: - HTML - YAML - JSON - 2026-01-13T00:17:48.484047

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 8100, 'analytic_conductor': 41.717902729273725, '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': [81, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 10, 'dim': 156, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 275045679185, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '81.10.e.a', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.10.e.a', 'prim_orbit_index': 5, 'related_objects': [], 'relative_dim': 26, 'rm_discs': [], 'sato_tate_group': '9.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.10.e', 'trace_display': [6, 0, -2382, -6], 'traces': [156, 6, 0, -6, -2382, 0, -6, -36861, 0, -3, 121767, 0, -6, 720417, 0, 1530, -1002249, 0, -3, 8448573, 0, -1585014, -9316482, 0, 2192178, 33129678, 0, -12, -19657236, 0, -4633692, 37550952, 0, 14341770, -34449663, 0, -3, 92022060, 0, 6645801, 33127221, 0, 2356203, -1001541, 0, -3, 33488952, 0, -93214644, 72027753, 0, 160531713, -4841352, 0, -12, 91770981, 0, -320682489, -538090854, 0, 36683436, 55862958, 0, -956301315, 852347310, 0, -109026897, 508886217, 0, -815297649, -940878639, 0, -221849931, -838884579, 0, 908401146, 967811358, 0, -1228059150, 2497115154, 0, -12, 297703284, 0, 1535949369, -2930201574, 0, 2837227002, -1774997208, 0, 551343507, 6896645517, 0, 414852915, 9000269169, 0, 3371772333, -6901039926, 0, -5100000003, -11069692806, 0, -879644130, 640359015, 0, 5152736997, 21668621868, 0, -12, -1605514878, 0, -3565194441, -15507109662, 0, -9648515076, -24158939070, 0, -3, 20474215299, 0, 11446562541, 23815048242, 0, -4369349799, -21415407375, 0, -3, -58548727641, 0, 2819951580, 728376114, 0, 7941307227, 67837520676, 0, 805306356, 17224922679, 0, -372733494, -121993204548, 0, 313867944, -33801102123, 0, -3, 74510945265, 0, -2798757768, 35612129352, 0, 43869611334, -44424715575, 0, -3, -96254948370, 0, -12658117218, 86012942277, 0, -74059992900, 48010917912, 0, 29105226330, 68195747739, 0, -7537976160, -39344214372, 0, 68375170866, -67874052096, 0, -3, 73000054356, 0, -26569761921, 100989318237, 0, -154011594924, -59158613682, 0, -3, -97221943992, 0, 126058132596, -13150843941, 0, 17206125939, 525323689404, 0, 5999999988, -64696299600, 0, -24358971003, -34886948550, 0, 10381852929, -26971432677, 0, -3, -90238170957, 0, -55297504365, -69035275086, 0, -51415103004, -147349098600, 0, -402653187, 83097698313, 0, 13759554396, 84036433194, 0, 7351268562, 123682557408, 0, 71940450660, -14384939604, 0, -71607819567, 74296733103, 0, -278478202668, 33114903003, 0, -27577525683, -497357650569, 0, 45211540440, -783134979345, 0, 455850463569, 115013665557, 0, 40721333955, 339021489567, 0, -13796541927, 391921105026, 0, -429812727009, -769043490330, 0, -214390333452, 616035436407, 0, 148984598265, 630142215783, 0, 566878432035, -103419223677, 0, 117818879505, -1142044792125, 0, 32496936258, -731172786279, 0, -327575646831, 278213911557, 0, -155052541875, 522942195426, 0, -99333956502, 689661581307, 0, 423346350636, 115557013512, 0, 197434893408, 631479498606, 0, 81255887904, 1094269446087, 0, -55935754476, -51188126100, 0, -2194693635, -992375805414, 0, -456928481166, -3015237202704, 0, -341116458384, -344059660137, 0, -209272723233, 2629037157489, 0, 1455061915671, -226384582938, 0, 1004489535288, 1033951537122, 0, -12, 696414929136, 0, -1200842624796, 2170070322645, 0, -733510297494, -508577520009, 0, -154729188255, -4624279137996, 0, 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1117923050010, 26975691182436, 0, 2649601720500, 10714631480895, 0, -757515700491, -4909643708436, 0, -2374820900235, -8365388264535, 0, -3, -15985665645984, 0, 3803677008288, -11435675537706, 0, -866141265732, -14468066689650, 0, -402653187, -936190924758, 0, 197570020530, 18602124104574, 0, 1569145386225, 21720492178128, 0, 2098080635172, 21783369004359, 0, 2874360642243, -2502437316519, 0, 1926184444464, -23557062255939, 0, -355763629494, -14781008310528, 0, -9007295986629, -21621785703207, 0, 1291679886936, -11815314329421, 0, 892182765642, -2489318263113, 0, -821727435480, 21383876677584, 0, -1445417532987, 36201824508216, 0, -4608125917512, 14903084620644, 0, 1283677693068, 705286302603, 0, 2559738639105, -16738073420139, 0, 2714326465191, -35054568433440, 0, 5411235108099, -18143857120902, 0, -508356614307, -29049126708537, 0, -528960640926, -179768226054, 0, -1898080196043, 32160211797828, 0, -5007739631025, 37643474114592, 0, -5582064788760, 38764122863073, 0, -5275623917403, 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38672585720106, -47096099375451, 0, -3, -6598309842816, 0, 82312770372681, 92413615661706, 0, 19299259117272, 129204242354532, 0, 24669168187134, 81458730920598, 0, -48147621749898, 6712608802554, 0, -45901905672540, -10456294474323, 0, 7635588514305, -178196594057472, 0, -28627221029532, -86501608096842, 0, 8636246394006, -74747675684235, 0, -16390508482659, -7699842216534, 0, -21133925844921, 136004987866755, 0, -1953312895704, 115410441392424, 0, 12048952172106, 181895516395710, 0, 63616203862626, 7149816984144, 0, 15809399446620, -78316982063451, 0, 20088902184957, -68363991555690, 0, 12209981893347, -134784856484361, 0, -17502064242075, -47667890195055, 0, -5654561524419, -14365404837180, 0, -54676847901927, 72056878753623, 0, -3435891363744, 185554248438702, 0, -58000648630668, 88777823699016, 0, -39041413591920, -12390199296108, 0, -40303142253459, -98755126901799, 0, 4271473067721, -75686361523086, 0, 19017698049513, 6675750004746, 0, 43028805343854, -118740281762994, 0, 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426683445302538, -569145297542781, 0, 196372380656550, -1266272452887432, 0, 100296001458780], 'weight': 10, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
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-0.28222799425186407, -0.48455197957423385, -0.3910170886816839, -0.43011694548863116, -0.462370511805045, -0.41321594232613773, -0.035616624202700356, -0.12485856823167182, -0.27179045512641115, -0.16063141290100852, -0.4500447437969916, -0.40643313651565743, 0.07233776867420794, -0.0035624598056837524, -0.43249460232387, 0.002688455132737587, -0.3207845713360204, -0.23435719426479326, -0.25422387845147737, -0.21887986313313854, -0.3190241695794045, -0.22584457704654093, -0.14302838695429307, -0.37182536664654636, -0.4643043515891477, -0.3996516747557554, -0.32230119248415307, -0.31876628356885234, -0.09195776357166204, -0.3049424802597326, -0.09310636481034497, 0.2883778780001974, -0.4286880146262201, -0.4759483128032483, 0.0014190840694387665, -0.1466332027842777, 0.01308161623268311, 0.1739419482303268, -0.18268320457423398, -0.21494332543194733, -0.41638139600962043, -0.48609544264745014, -0.4916622196782202, -0.25384238735068976, -0.03838504092247547, -0.16509553533564017, 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-0.3024449700080681, -0.14849614488232066, 0.025289605730371367, -0.3110980099361322, -0.3471497604577962, -0.35027507352661175, -0.019129279096694266, -0.20838440946636716, -0.36485770278949703, -0.30559783922557315, -0.148759537963536, -0.4417762952027758, -0.49819163476491246, -0.30441800290914045, -0.4024676402820603, 0.12200633107858169, -0.17925235552284774, -0.1608489685818664, -0.490523290346589, -0.37756620640870814, -0.13244265836928876, 0.1125092644515925], 'char_orbit_index': 5, 'conrey_index': 10, 'dual_conrey_index': 73, 'dual_embedding_index': 13, 'dual_embedding_m': 143, 'embedding_index': 13, 'embedding_m': 13, 'hecke_orbit': 1, 'hecke_orbit_code': 275045679185, 'label': '81.10.e.a.10.13', 'level': 81, 'weight': 10}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 8100, 'analytic_conductor': 41.717902729273725, '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': [81, 9, [2], [4]], 'conrey_index': 10, 'cusp_dim': 468, 'dim': 156, 'eis_dim': 36, 'eis_new_dim': 12, 'hecke_orbit_code': 275045679185, 'hecke_orbit_dims': [156], 'label': '81.10.e', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 504, 'mf_new_dim': 168, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 26, 'sturm_bound': 90, 'trace_bound': 0, 'trace_display': [6, 0, -2382, -6], 'traces': [156, 6, 0, -6, -2382, 0, -6, -36861, 0, -3, 121767, 0, -6, 720417, 0, 1530, -1002249, 0, -3, 8448573, 0, -1585014, -9316482, 0, 2192178, 33129678, 0, -12, -19657236, 0, -4633692, 37550952, 0, 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• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 3077423
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 10, 'source_dim': 156, 'source_embedding_index': 13, 'source_hecke_orbit_code': 275045679185, 'source_is_minimal': False, 'source_label': '81.10.e.a.10.13', 'source_level': 81, 'target_conrey_index': 10, 'target_dim': 156, 'target_embedding_index': 13, 'target_hecke_orbit_code': 275045679185, 'target_is_minimal': False, 'target_label': '81.10.e.a.10.13', 'target_level': 81, 'twist_class_label': '27.10.e.a.13.14', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 10}
  • id: 3077424
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 10, 'source_dim': 156, 'source_embedding_index': 13, 'source_hecke_orbit_code': 275045679185, 'source_is_minimal': False, 'source_label': '81.10.e.a.10.13', 'source_level': 81, 'target_conrey_index': 13, 'target_dim': 156, 'target_embedding_index': 14, 'target_hecke_orbit_code': 275045679131, 'target_is_minimal': True, 'target_label': '27.10.e.a.13.14', 'target_level': 27, 'twist_class_label': '27.10.e.a.13.14', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 3077425
    {'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 10, 'source_dim': 156, 'source_embedding_index': 13, 'source_hecke_orbit_code': 275045679185, 'source_is_minimal': False, 'source_label': '81.10.e.a.10.13', 'source_level': 81, 'target_conrey_index': 25, 'target_dim': 156, 'target_embedding_index': 14, 'target_hecke_orbit_code': 275045679131, 'target_is_minimal': True, 'target_label': '27.10.e.a.25.14', 'target_level': 27, 'twist_class_label': '27.10.e.a.13.14', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 3077426
    {'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 10, 'source_dim': 156, 'source_embedding_index': 13, 'source_hecke_orbit_code': 275045679185, 'source_is_minimal': False, 'source_label': '81.10.e.a.10.13', 'source_level': 81, 'target_conrey_index': 73, 'target_dim': 156, 'target_embedding_index': 13, 'target_hecke_orbit_code': 275045679185, 'target_is_minimal': False, 'target_label': '81.10.e.a.73.13', 'target_level': 81, 'twist_class_label': '27.10.e.a.13.14', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 10}
• hecke_orbit_code 275045679185 does not appear in mf_hecke_charpolys
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '81.10.e.a', 'level': 81, 'portrait': 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', 'weight': 10}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 7949046
    {'hecke_orbit_code': 275045679185, 'n': 1, 'trace_an': 156}
  • id: 7949047
    {'hecke_orbit_code': 275045679185, 'n': 2, 'trace_an': 6}
  • id: 7949048
    {'hecke_orbit_code': 275045679185, 'n': 3, 'trace_an': 0}
  • id: 7949049
    {'hecke_orbit_code': 275045679185, 'n': 4, 'trace_an': -6}
  • id: 7949050
    {'hecke_orbit_code': 275045679185, 'n': 5, 'trace_an': -2382}
  • id: 7949051
    {'hecke_orbit_code': 275045679185, 'n': 6, 'trace_an': 0}
  • id: 7949052
    {'hecke_orbit_code': 275045679185, 'n': 7, 'trace_an': -6}
  • id: 7949053
    {'hecke_orbit_code': 275045679185, 'n': 8, 'trace_an': -36861}
  • id: 7949054
    {'hecke_orbit_code': 275045679185, 'n': 9, 'trace_an': 0}
  • id: 7949055
    {'hecke_orbit_code': 275045679185, 'n': 10, 'trace_an': -3}
  • id: 7949056
    {'hecke_orbit_code': 275045679185, 'n': 11, 'trace_an': 121767}
  • id: 7949057
    {'hecke_orbit_code': 275045679185, 'n': 12, 'trace_an': 0}
  • id: 7949058
    {'hecke_orbit_code': 275045679185, 'n': 13, 'trace_an': -6}
  • id: 7949059
    {'hecke_orbit_code': 275045679185, 'n': 14, 'trace_an': 720417}
  • id: 7949060
    {'hecke_orbit_code': 275045679185, 'n': 15, 'trace_an': 0}
  • id: 7949061
    {'hecke_orbit_code': 275045679185, 'n': 16, 'trace_an': 1530}
  • id: 7949062
    {'hecke_orbit_code': 275045679185, 'n': 17, 'trace_an': -1002249}
  • id: 7949063
    {'hecke_orbit_code': 275045679185, 'n': 18, 'trace_an': 0}
  • id: 7949064
    {'hecke_orbit_code': 275045679185, 'n': 19, 'trace_an': -3}
  • id: 7949065
    {'hecke_orbit_code': 275045679185, 'n': 20, 'trace_an': 8448573}
  • id: 7949066
    {'hecke_orbit_code': 275045679185, 'n': 21, 'trace_an': 0}
  • id: 7949067
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  • id: 7949266
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  • id: 7949268
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  • id: 7949269
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  • id: 7949271
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  • id: 7949272
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  • id: 7949273
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  • id: 7949274
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  • id: 7949275
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  • id: 7949276
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  • id: 7949277
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  • id: 7949278
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  • id: 7949280
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  • id: 7949281
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  • id: 7949283
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  • id: 7949284
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  • id: 7949285
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  • id: 7949286
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  • id: 7949288
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  • id: 7949289
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  • id: 7949291
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  • id: 7949292
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  • id: 7949293
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  • id: 7949294
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  • id: 7949295
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  • id: 7949296
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  • id: 7949297
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  • id: 7949298
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  • id: 7949300
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  • id: 7949301
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  • id: 7949302
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  • id: 7949303
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