Embedded newform data - 62.3.b.a.61.1

Formats: - HTML - YAML - JSON - 2025-09-19T03:34:14.105803

• 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': 558, 'analytic_conductor': 1.6893776390338409, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [62, 2, [3], [1]], 'cm_discs': [], 'conrey_index': 61, 'dim': 4, 'field_disc': 48128, 'field_disc_factorization': [[2, 10], [47, 1]], 'field_poly': [47, 0, 14, 0, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68769808446, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '62.3.b.a', 'level': 62, '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, 31], 'level_radical': 62, 'minimal_twist': '62.3.b.a', 'nf_label': '4.0.48128.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{3}q^{2}+\\beta _{2}q^{3}+2q^{4}+(-3+2\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '62.3.b', 'trace_display': [0, 0, -12, -12], 'trace_hash': 1868005260389683666, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.889', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.492', 'prec': 17}, {'__RealLiteral__': 0, 'data': '75.594', 'prec': 20}, {'__RealLiteral__': 0, 'data': '9.388', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2079.427', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [4, 0, 0, 8, -12, 0, -12, 0, -20, 16, 0, 0, 0, 8, 0, 16, 0, 16, 36, -24, 0, 0, 0, 0, -32, 0, 0, -24, 0, 0, 92, 0, -144, 0, 52, -40, 0, -120, 152, 32, 44, 0, 0, 0, 92, 0, -56, 0, -152, -96, 8, 0, 0, 0, 0, 16, 0, 0, 140, 0, 0, -8, 76, 32, 0, 256, -176, 0, 8, -72, 28, 32, 0, 0, 0, 72, 0, 64, 0, -48, -372, -32, 0, 0, 0, 0, -152, 0, 0, -128, 0, 0, -8, 304, -348, 0, -172, -48, 0, -64, 508, 320, 364, 0, 0, 0, 172, 0, -28, 0, -432, -48, 364, 0, 0, 0, 0, -120, 0, 0, -316, 0, 0, 184, 204, -88, 0, 0, 136, 0, 56, -288, -228, -368, 0, 0, 0, -432, 0, 104, 0, -24, 176, -80, 0, 0, 0, 0, 80, 0, 0, -240, 0, 0, -292, 304, 492, 0, -224, 64, 0, -16, 212, 88, 944, 0, 0, 0, 156, 0, -420, 0, 256, -64, 0, 0, 0, 0, 0, 184, 0, 0, 504, 0, 0, 432, -624, -112, 0, 504, -916, 0, -44, -400, -328, -304, 0, 0, 0, -192, 0, 256, 0, 16, -196, -536, 0, 0, 0, 0, -452, 0, 0, -216, 0, 0, -284, 496, 288, 0, -344, 768, 0, 32, -32, 480, -728, 0, 0, 0, 688, 0, -180, 0, 776, 280, 392, 0, 0, 0, 0, 1088, 0, 0, 360, 0, 0, -16, -2048, -240, 0, 152, 880, 0, 616, 64, -732, -1328, 0, 0, 0, -1040, 0, 512, 0, 432, 1512, -352, 0, 0, 0, 0, -392, 0, 0, 16, 0, 0, -476, -144, 44, 0, -520, 56, 0, -480, -164, 64, 188, 0, 0, 0, 848, 0, -660, 0, -64, -464, 408, 0, 0, 0, 0, 144, 0, 0, 1628, 0, 0, 392, 260, 128, 0, 320, -404, 0, 316, -1440, -176, -96, 0, 0, 0, -744, 0, 1192, 0, -64, 472, -1344, 0, 0, 0, 0, -208, 0, 0, -496, 0, 0, -880, 744, 996, 0, -888, 400, 0, -304, -320, 224, 736, 0, 0, 0, -132, 0, 296, 0, 844, -256, 680, 0, 0, 0, 0, 608, 0, 0, -284, 0, 0, -16, -1988, 608, 0, 608, 520, 0, 552, -696, -1392, -120, 0, 0, 0, -336, 0, -344, 0, 416, 1288, -96, 0, 0, 0, 0, -468, 0, 0, -128, 0, 0, -408, 1016, 1084, 0, -2400, 640, 0, 272, 1016, 728, -540, 0, 0, 0, -352, 0, -1596, 0, -1092, 328, 888, 0, 0, 0, 0, 344, 0, 0, -1616, 0, 0, 208, 328, -56, 0, 992, 28, 0, 664, -976, 500, -864, 0, 0, 0, -96, 0, 352, 0, 728, -1240, 48, 0, 0, 0, 0, 672, 0, 0, -1056, 0, 0, 888, 1024, -2100, 0, 160, -1136, 0, -240, 2928, 1392, 1152, 0, 0, 0, 956, 0, 528, 0, -456, -632, -284, 0, 0, 0, 0, -464, 0, 0, 344, 0, 0, 368, -108, 800, 0, 408, 384, 0, 1604, -176, -1012, -896, 0, 0, 0, -928, 0, 0, 0, -1136, -2164, 272, 0, 0, 0, 0, -816, 0, 0, 112, 0, 0, -1288, -576, 396, 0, -940, -456, 0, -1184, -948, -736, 2632, 0, 0, 0, -60, 0, -2184, 0, 1076, 112, 356, 0, 0, 0, 0, -864, 0, 0, 2832, 0, 0, 408, 920, 208, 0, 1088, -1884, 0, -132, -1232, 1100, -48, 0, 0, 0, 352, 0, 184, 0, -160, 288, -368, 0, 0, 0, 0, 2432, 0, 0, -784, 0, 0, 948, 920, -1200, 0, 3476, 448, 0, 160, 1440, 1280, -44, 0, 0, 0, 144, 0, 3124, 0, -2136, -480, 392, 0, 0, 0, 0, -376, 0, 0, -720, 0, 0, -584, -832, -2168, 0, 608, -292, 0, -5136, 984, -1872, 568, 0, 0, 0, 1728, 0, -448, 0, 480, -188, 128, 0, 0, 0, 0, -3064, 0, 0, -32, 0, 0, 456, 424, -2448, 0, -2248, 176, 0, -1024, 2596, 1888, 148, 0, 0, 0, 1548, 0, -408, 0, -4272, 400, -208, 0, 0, 0, 0, 312, 0, 0, 116, 0, 0, 896, 2500, -840, 0, -552, -1216, 0, 2112, 1328, 780, 512, 0, 0, 0, -128, 0, 752, 0, 0, 92, 864, 0, 0, 0, 0, -1268, 0, 0, 184, 0, 0, 1720, -944, -1488, 0, 3032, 904, 0, 368, -1628, -2160, -112, 0, 0, 0, 492, 0, 100, 0, 3848, 1008, -1212, 0, 0, 0, 0, 336, 0, 0, 408, 0, 0, 864, -1168, 416, 0, -1248, -732, 0, -1412, -224, -776, 496, 0, 0, 0, 400, 0, 1008, 0, -32, 580, -1832, 0, 0, 0, 0, 172, 0, 0, -88, 0, 0, -640, -800, 2064, 0, 876, -656, 0, 384, -736, -608, -836, 0, 0, 0, -216, 0, -612, 0, -2120, -2080, -2208, 0, 0, 0, 0, -384, 0, 0, -1408, 0, 0, -1280, 5312, 512, 0, -1440, -1080, 0, 440, 3264, 1748, 32, 0, 0, 0, -392, 0, -1472, 0, -1072, -1920, 640, 0, 0, 0, 0, 3832, 0, 0, 960, 0, 0, 832, -696, -168, 0, 2844, -1760, 0, -904, -1460, -1744, 2036, 0, 0, 0, 2640, 0, -1136, 0, 2748, -432, 2832, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, -568, -2000, -416, 0, 992, 60, 0, -852, 576, 1044, 1032, 0, 0, 0, -368, 0, -688, 0, -1528, 660, 1536, 0, 0, 0, 0, -5064, 0, 0, 64, 0, 0, 408, -64, 4544, 0, -1736, 960, 0, 2288, 156, -1456, -2028, 0, 0, 0, -5696, 0, -296, 0, -1208, 1312, -1096, 0, 0, 0, 0, 1376, 0, 0, -2892, 0, 0, -1328, -648, -360, 0, -1432, 3088, 0, 576, 752, 5512, 1552, 0, 0, 0, 560, 0, -3200, 0, 784, -1856, 96, 0, 0, 0, 0, 2508, 0, 0, 2440, 0, 0, 404, -1440, -1292, 0, -540, 1312, 0, 2176, -4728, 512, -6024, 0, 0, 0, -1984, 0, 5524, 0, 5392, 720, 1132, 0, 0, 0, 0, 976, 0, 0, -5176, 0, 0, -32, -1712, 128, 0, -4096, 5068, 0, -192, -480], 'weight': 3, '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

  
  {'an_normalized': [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, -1.367415531608044], [0.5, 0.0], [-1.165685424949238, 0.0], [0.0, 0.9669087950998558], [-0.6306019374818708, 0.0], [-0.3535533905932738, 0.0], [-0.86982523608291, 0.0], [0.8242640687119285, 0.0], [0.0, -1.8006726118951395], [0.0, -0.683707765804022], [0.0, 0.5004066933748663], [0.4459029062228061, 0.0], [0.0, 1.5939763550447112], [0.25, 0.0], [0.0, -0.7824771598219572], [0.6150593228814153, 0.0], [1.5901686018734962, 0.0], [-0.582842712474619, 0.0], [0.0, 0.8622948835748349], [0.0, 1.2732678145679455], [0.0, 0.8305897603292351], [0.0, 0.4834543975499279], [0.3588225099390856, 0.0], [0.0, -0.3538409662365054], [0.0, -0.17800299400363925], [-0.3153009687409354, 0.0], [0.0, -0.2243202418576987], [0.0, -1.1271114897031311], [0.7875552762055837, -0.6162440157281421], [-0.1767766952966369, 0.0], [-2.4622676968466375, 0.0], [0.0, 0.5532949058336959], [0.7350834874673673, 0.0], [-0.434912618041455, 0.0], [0.0, -1.6060053025010703], [-1.1244190016146804, 0.0], [0.6842638846414164, 0.0], [0.41213203435596424, 0.0], [0.40626473779249705, 0.0], [0.0, -0.6097345595582302], [0.0, 1.5236089919154765], [0.0, -0.9003363059475697], [1.0139425999548783, 0.0], [0.0, -0.5873156519129115], [-1.441279050429311, 0.0], [0.0, -0.341853882902011], [-0.6023411964441108, 0.0], [-0.2537258300203048, 0.0], [-1.069971421469094, 0.0], [0.0, 0.25020334668743316], [0.0, 0.9132521892414119], [0.0, 0.12586712413148168], [0.0, 2.09901781879144], [0.22295145311140305, 0.0], [0.0, -2.174421244077267], [0.0, 0.15861836417498518], [0.9527661599253632, 0.0], [0.0, 0.7969881775223556], [0.0, 0.07400890407986085], [-0.5568856763642127, 0.4357503223869988], [0.5485134791445087, 0.0], [0.125, 0.0], [0.0, -0.5833167890141241], [1.7410861855368398, 0.0], [0.3142361771516772, 0.0], [0.0, -0.3912385799109786], [1.135761338668799, 0.0], [-0.5197825187264319, 0.0], [0.15834705193125753, 0.0], [0.30752966144070765, 0.0], [0.0, -0.34515828695066153], [0.0, 1.1356172400200595], [0.0, -0.4906594731812875], [0.7950843009367481, 0.0], [0.0, 1.1355076378316156], [-0.48384763295099503, 0.0], [0.0, -0.45690666133319535], [-0.2914213562373095, 0.0], [-1.11322929475622, 0.0], [-0.28727255105004934, 0.0], [0.0, -1.9190817223477956], [0.0, 0.43114744178741743], [0.0, 0.912122220560131], [0.0, -1.077354250060233], [-0.3067389827702901, 0.0], [0.0, 0.6366339072839727], [0.0, 1.6086104973572726], [-0.7169656881620132, 0.0], [0.0, -0.31555743037108713], [0.0, 0.4152948801646176], [-0.8426616383671734, -1.0769153166833783], [1.0191381901406737, 0.0], [-1.853636362415842, 0.0], [0.0, 0.24172719877496396], [0.28567709400675, 0.0], [0.4259195445936491, 0.0], [0.0, 1.56627047974972], [0.1794112549695428, 0.0], [0.8093580792481283, 0.0], [0.7565840477966059, 0.0], [1.803420472611625, 0.0], [0.0, -0.1769204831182527], [0.0, -1.005164577791485], [0.0, -0.6457668159460626], [0.7587267867670426, 0.0], [0.0, -0.08900149700181963], [-0.8686352373131366, 0.0], [0.0, -1.484229733498823], [-2.196076594484839, 0.0], [-0.1576504843704677, 0.0], [0.05439987838596723, 0.0], [0.0, 1.5375480068431244], [0.0, -0.9682063777278702], [0.0, -0.11216012092884935], [0.0, -0.4352663702022615], [-0.6737074125682909, 0.0], [0.0, 0.49343161301903765], [0.0, -0.5635557448515656], [-2.242421855229264, 0.0], [0.0, -0.052332197943054354], [0.0, -0.5555327124021301], [0.39377763810279187, -0.30812200786407107], [0.7474112549695429, 0.0], [-0.387857600675308, 0.0], [0.0, -0.6571070896301646], [-0.08838834764831845, 0.0], [2.0834065996428976, 0.0], [0.0, 0.4124672570918498], [1.5102882680038348, 0.0], [-1.2311338484233187, 0.0], [-1.002763401264264, 0.0], [-0.22219853175808818, 0.0], [0.0, 0.2074954957073689], [0.0, 0.27664745291684795], [0.0, 0.9149611634960034], [-0.8031045443822188, 0.0], [0.0, -0.45194682405819864], [0.36754174373368365, 0.0], [0.0, 1.9708273589383332], [-0.1119682742014906, 0.0], [0.9010686275691308, 0.0], [-0.2174563090207275, 0.0], [0.0, 0.26148683645460735], [0.0, 0.244063765285545], [0.0, 0.8236507073450492], [0.0, -0.8030026512505352], [0.6847274269640236, 0.0], [0.0, 0.34694864073990733], [0.0, -1.1534062382966535], [-0.5622095008073402, 0.0], [0.0, 0.6806183802716188], [0.0, -0.8029251507998537], [-0.9180417068147204, 0.7183466673464843], [0.3421319423207082, 0.0], [0.42313030258010315, 0.0], [0.0, 0.32308179859800773], [1.2487952278437553, 0.0], [0.20606601717798212, 0.0], [0.0, -0.5237715121162183], [0.7871719833376409, 0.0], [-0.9675939925987188, 0.0], [0.20313236889624853, 0.0], [2.8702295665374544, 0.0], [0.0, 1.3569956995232855], [0.0, -0.3305340762448793], [0.0, -0.3048672797791151], [0.7495931412256325, 0.0], [0.0, -0.6449678074290004], [-1.3831687795362446, 0.0], [0.0, 0.7618044959577382], [-0.03879004692864019, 0.0], [0.2168972147711357, 0.0], [-0.2262741699796952, 0.0], [0.0, -0.4501681529737849], [0.0, -1.3028272450724954], [0.0, -1.1374593909691924], [0.0, 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[-0.8864721168402212, 0.0], [1.4140755665592648, 0.0], [0.0, 0.22831304731035298], [0.0, -0.4241833561191161], [0.0, 0.19853466684775678], [1.3339315592918448, 0.0], [0.0, -0.10826310909757356], [-1.443755084161751, 0.0], [0.0, 0.03300078541557484], [1.6123396865502262, 0.0], [-0.26825042799542775, 0.0], [0.6578182224480097, 0.0], [0.0, 0.871251180985149], [0.0, -1.2721831694390098], [0.0, -0.8880243975987362], [0.0, 0.3503200047753421], [0.6674504399057197, 0.0], [0.0, 0.5941360213924881], [0.0, 0.03146678103287042], [0.045216992337812824, 0.0], [0.0, -1.287825980863333], [0.0, -0.5301873326462451], [-0.24831694152465547, 0.19430233513988743], [-0.8227393112551329, 0.0], [-0.25283392197079746, 0.0], [0.0, 0.15724588634722952], [0.30710893334085243, 0.0], [-0.248489145737901, 0.0], [0.0, -0.9339309090607752], [-0.4713189854795502, 0.0], [-0.23598740121978035, 0.0], [1.5521757714096556, 0.0], [0.2825746071336997, 0.0], [0.0, -1.636198691264427], [0.0, 0.52475445469786], [0.0, 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[0.0, -1.2428075509887913], [0.0, 0.3978655059860252], [-1.265494027430543, 0.0], [0.0, 1.2910204783418884], [0.0, -1.398357859762547], [-0.13922141909105318, 0.1089375805967497], [0.5146402874277293, 0.0], [0.07060741064796133, 0.0], [0.0, -1.5399075826210296], [-1.312091076781746, 0.0], [1.2027259267864507, 0.0], [0.0, 0.9470185021387181], [-0.2858737522309109, 0.0], [-0.2642497833620557, 0.0]], 'angles': [None, -0.38018315331158303, -0.34902981469784505, -0.3010527332022852, -0.3216602543816205, 0.04024873754794518, -0.43602336267875874, -0.10371328109500234, 0.0681607996177388, -0.4821115219269414, None, -0.3516172258399205, -0.21744391249444325, 0.13784315986429554, -0.3780758502574738, 0.07547113588826639, -0.17097377643614117, 0.005890786385094156, -0.22488983565615792, -0.23738594007102598, -0.472394972516572, -0.46331658347854493, -0.2954274852199032, 0.14873114613938657, -0.2271885161169764, -0.18369162311603066, -0.07115614228593237, -0.18807151289666976, 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-0.1473122911088986], 'char_orbit_index': 2, 'conrey_index': 61, 'dual_conrey_index': 61, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 2.9007263852995675, 'embedding_root_real': 0.0, 'hecke_orbit': 1, 'hecke_orbit_code': 68769808446, 'label': '62.3.b.a.61.1', 'level': 62, 'weight': 3}
• 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': 558, 'analytic_conductor': 1.6893776390338409, 'char_conductor': 31, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [62, 2, [3], [1]], 'conrey_index': 61, 'cusp_dim': 14, 'dim': 4, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 68769808446, 'hecke_orbit_dims': [4], 'label': '62.3.b', 'level': 62, '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, 31], 'level_radical': 62, 'mf_dim': 18, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 4, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [0, 0, -12, -12], 'traces': [4, 0, 0, 8, -12, 0, -12, 0, -20, 16, 0, 0, 0, 8, 0, 16, 0, 16, 36, -24, 0, 0, 0, 0, -32, 0, 0, -24, 0, 0, 92, 0, -144, 0, 52, -40, 0, -120, 152, 32, 44, 0, 0, 0, 92, 0, -56, 0, -152, -96, 8, 0, 0, 0, 0, 16, 0, 0, 140, 0, 0, -8, 76, 32, 0, 256, -176, 0, 8, -72, 28, 32, 0, 0, 0, 72, 0, 64, 0, -48, -372, -32, 0, 0, 0, 0, -152, 0, 0, -128, 0, 0, -8, 304, -348, 0, -172, -48, 0, -64, 508, 320, 364, 0, 0, 0, 172, 0, -28, 0, -432, -48, 364, 0, 0, 0, 0, -120, 0, 0, -316, 0, 0, 184, 204, -88, 0, 0, 136, 0, 56, -288, -228, -368, 0, 0, 0, -432, 0, 104, 0, -24, 176, -80, 0, 0, 0, 0, 80, 0, 0, -240, 0, 0, -292, 304, 492, 0, -224, 64, 0, -16, 212, 88, 944, 0, 0, 0, 156, 0, -420, 0, 256, -64, 0, 0, 0, 0, 0, 184, 0, 0, 504, 0, 0, 432, -624, -112, 0, 504, -916, 0, -44, -400, -328, -304, 0, 0, 0, -192, 0, 256, 0, 16, -196, -536, 0, 0, 0, 0, -452, 0, 0, -216, 0, 0, -284, 496, 288, 0, -344, 768, 0, 32, -32, 480, -728, 0, 0, 0, 688, 0, -180, 0, 776, 280, 392, 0, 0, 0, 0, 1088, 0, 0, 360, 0, 0, -16, -2048, -240, 0, 152, 880, 0, 616, 64, -732, -1328, 0, 0, 0, -1040, 0, 512, 0, 432, 1512, -352, 0, 0, 0, 0, -392, 0, 0, 16, 0, 0, -476, -144, 44, 0, -520, 56, 0, -480, -164, 64, 188, 0, 0, 0, 848, 0, -660, 0, -64, -464, 408, 0, 0, 0, 0, 144, 0, 0, 1628, 0, 0, 392, 260, 128, 0, 320, -404, 0, 316, -1440, -176, -96, 0, 0, 0, -744, 0, 1192, 0, -64, 472, -1344, 0, 0, 0, 0, -208, 0, 0, -496, 0, 0, -880, 744, 996, 0, -888, 400, 0, -304, -320, 224, 736, 0, 0, 0, -132, 0, 296, 0, 844, -256, 680, 0, 0, 0, 0, 608, 0, 0, -284, 0, 0, -16, -1988, 608, 0, 608, 520, 0, 552, -696, -1392, -120, 0, 0, 0, -336, 0, -344, 0, 416, 1288, -96, 0, 0, 0, 0, -468, 0, 0, -128, 0, 0, -408, 1016, 1084, 0, -2400, 640, 0, 272, 1016, 728, -540, 0, 0, 0, -352, 0, -1596, 0, -1092, 328, 888, 0, 0, 0, 0, 344, 0, 0, -1616, 0, 0, 208, 328, -56, 0, 992, 28, 0, 664, -976, 500, -864, 0, 0, 0, -96, 0, 352, 0, 728, -1240, 48, 0, 0, 0, 0, 672, 0, 0, -1056, 0, 0, 888, 1024, -2100, 0, 160, -1136, 0, -240, 2928, 1392, 1152, 0, 0, 0, 956, 0, 528, 0, -456, -632, -284, 0, 0, 0, 0, -464, 0, 0, 344, 0, 0, 368, -108, 800, 0, 408, 384, 0, 1604, -176, -1012, -896, 0, 0, 0, -928, 0, 0, 0, -1136, -2164, 272, 0, 0, 0, 0, -816, 0, 0, 112, 0, 0, -1288, -576, 396, 0, -940, -456, 0, -1184, -948, -736, 2632, 0, 0, 0, -60, 0, -2184, 0, 1076, 112, 356, 0, 0, 0, 0, -864, 0, 0, 2832, 0, 0, 408, 920, 208, 0, 1088, -1884, 0, -132, -1232, 1100, -48, 0, 0, 0, 352, 0, 184, 0, -160, 288, -368, 0, 0, 0, 0, 2432, 0, 0, -784, 0, 0, 948, 920, -1200, 0, 3476, 448, 0, 160, 1440, 1280, -44, 0, 0, 0, 144, 0, 3124, 0, -2136, -480, 392, 0, 0, 0, 0, -376, 0, 0, -720, 0, 0, -584, -832, -2168, 0, 608, -292, 0, -5136, 984, -1872, 568, 0, 0, 0, 1728, 0, -448, 0, 480, -188, 128, 0, 0, 0, 0, -3064, 0, 0, -32, 0, 0, 456, 424, -2448, 0, -2248, 176, 0, -1024, 2596, 1888, 148, 0, 0, 0, 1548, 0, -408, 0, -4272, 400, -208, 0, 0, 0, 0, 312, 0, 0, 116, 0, 0, 896, 2500, -840, 0, -552, -1216, 0, 2112, 1328, 780, 512, 0, 0, 0, -128, 0, 752, 0, 0, 92, 864, 0, 0, 0, 0, -1268, 0, 0, 184, 0, 0, 1720, -944, -1488, 0, 3032, 904, 0, 368, -1628, -2160, -112, 0, 0, 0, 492, 0, 100, 0, 3848, 1008, -1212, 0, 0, 0, 0, 336, 0, 0, 408, 0, 0, 864, -1168, 416, 0, -1248, -732, 0, -1412, -224, -776, 496, 0, 0, 0, 400, 0, 1008, 0, -32, 580, -1832, 0, 0, 0, 0, 172, 0, 0, -88, 0, 0, -640, -800, 2064, 0, 876, -656, 0, 384, -736, -608, -836, 0, 0, 0, -216, 0, -612, 0, -2120, -2080, -2208, 0, 0, 0, 0, -384, 0, 0, -1408, 0, 0, -1280, 5312, 512, 0, -1440, -1080, 0, 440, 3264, 1748, 32, 0, 0, 0, -392, 0, -1472, 0, -1072, -1920, 640, 0, 0, 0, 0, 3832, 0, 0, 960, 0, 0, 832, -696, -168, 0, 2844, -1760, 0, -904, -1460, -1744, 2036, 0, 0, 0, 2640, 0, -1136, 0, 2748, -432, 2832, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, -568, -2000, -416, 0, 992, 60, 0, -852, 576, 1044, 1032, 0, 0, 0, -368, 0, -688, 0, -1528, 660, 1536, 0, 0, 0, 0, -5064, 0, 0, 64, 0, 0, 408, -64, 4544, 0, -1736, 960, 0, 2288, 156, -1456, -2028, 0, 0, 0, -5696, 0, -296, 0, -1208, 1312, -1096, 0, 0, 0, 0, 1376, 0, 0, -2892, 0, 0, -1328, -648, -360, 0, -1432, 3088, 0, 576, 752, 5512, 1552, 0, 0, 0, 560, 0, -3200, 0, 784, -1856, 96, 0, 0, 0, 0, 2508, 0, 0, 2440, 0, 0, 404, -1440, -1292, 0, -540, 1312, 0, 2176, -4728, 512, -6024, 0, 0, 0, -1984, 0, 5524, 0, 5392, 720, 1132, 0, 0, 0, 0, 976, 0, 0, -5176, 0, 0, -32, -1712, 128, 0, -4096, 5068, 0, -192, -480], 'weight': 3, 'weight_parity': -1}
• 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: 570933
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 61, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68769808446, 'target_is_minimal': True, 'target_label': '62.3.b.a.61.1', 'target_level': 62, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
  • id: 570934
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206208762414, 'target_is_minimal': False, 'target_label': '558.3.d.a.433.4', 'target_level': 558, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 570935
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073810350576, 'target_is_minimal': False, 'target_label': '496.3.e.d.433.4', 'target_level': 496, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
  • id: 570936
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206208763406, 'target_is_minimal': False, 'target_label': '1550.3.d.a.1549.1', 'target_level': 1550, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 570937
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 206208763406, 'target_is_minimal': False, 'target_label': '1550.3.d.a.1549.8', 'target_level': 1550, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
  • id: 570938
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 1301, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137489286670, 'target_is_minimal': False, 'target_label': '1550.3.c.a.1301.4', 'target_level': 1550, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
  • id: 570939
    {'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 61, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68769808446, 'target_is_minimal': True, 'target_label': '62.3.b.a.61.2', 'target_level': 62, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 3}
  • id: 570940
    {'conductor': 93, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206208762414, 'target_is_minimal': False, 'target_label': '558.3.d.a.433.3', 'target_level': 558, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '93.92', 'twisting_conrey_index': 92, 'weight': 3}
  • id: 570941
    {'conductor': 124, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073810350576, 'target_is_minimal': False, 'target_label': '496.3.e.d.433.1', 'target_level': 496, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '124.123', 'twisting_conrey_index': 123, 'weight': 3}
  • id: 570942
    {'conductor': 155, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206208763406, 'target_is_minimal': False, 'target_label': '1550.3.d.a.1549.4', 'target_level': 1550, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '155.92', 'twisting_conrey_index': 92, 'weight': 3}
  • id: 570943
    {'conductor': 155, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 206208763406, 'target_is_minimal': False, 'target_label': '1550.3.d.a.1549.5', 'target_level': 1550, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '155.123', 'twisting_conrey_index': 123, 'weight': 3}
  • id: 570944
    {'conductor': 155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808446, 'source_is_minimal': True, 'source_label': '62.3.b.a.61.1', 'source_level': 62, 'target_conrey_index': 1301, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137489286670, 'target_is_minimal': False, 'target_label': '1550.3.c.a.1301.3', 'target_level': 1550, 'twist_class_label': '62.3.b.a.61.1', 'twist_class_level': 62, 'twisting_char_label': '155.154', 'twisting_conrey_index': 154, 'weight': 3}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 197350
    {'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 2}
  • id: 197351
    {'charpoly_factorization': [[[188, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 3}
  • id: 197352
    {'charpoly_factorization': [[[1, 6, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 5}
  • id: 197353
    {'charpoly_factorization': [[[7, 6, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 7}
  • id: 197354
    {'charpoly_factorization': [[[3008, 0, 400, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 11}
  • id: 197355
    {'charpoly_factorization': [[[9212, 0, 260, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 13}
  • id: 197356
    {'charpoly_factorization': [[[54332, 0, 484, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 17}
  • id: 197357
    {'charpoly_factorization': [[[-369, -18, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 19}
  • id: 197358
    {'charpoly_factorization': [[[180668, 0, 860, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 23}
  • id: 197359
    {'charpoly_factorization': [[[9212, 0, 260, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 29}
  • id: 197360
    {'charpoly_factorization': [[[923521, -88412, 4030, -92, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 31}
  • id: 197361
    {'charpoly_factorization': [[[243648, 0, 3600, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 37}
  • id: 197362
    {'charpoly_factorization': [[[89, -22, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 41}
  • id: 197363
    {'charpoly_factorization': [[[15485372, 0, 7900, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 43}
  • id: 197364
    {'charpoly_factorization': [[[-2692, 28, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 47}
  • id: 197365
    {'charpoly_factorization': [[[20225792, 0, 10976, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 53}
  • id: 197366
    {'charpoly_factorization': [[[775, -70, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 59}
  • id: 197367
    {'charpoly_factorization': [[[99452, 0, 4900, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 61}
  • id: 197368
    {'charpoly_factorization': [[[-2296, 88, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 67}
  • id: 197369
    {'charpoly_factorization': [[[31, -14, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 71}
  • id: 197370
    {'charpoly_factorization': [[[3477248, 0, 6112, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 73}
  • id: 197371
    {'charpoly_factorization': [[[13806908, 0, 11900, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 79}
  • id: 197372
    {'charpoly_factorization': [[[311881472, 0, 37664, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 83}
  • id: 197373
    {'charpoly_factorization': [[[52213052, 0, 23044, 0, 1], 1]], 'hecke_orbit_code': 68769808446, 'p': 89}
  • id: 197374
    {'charpoly_factorization': [[[-3151, 86, 1], 2]], 'hecke_orbit_code': 68769808446, 'p': 97}
• mf_newform_portraits •

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

  
  {'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '62.3.b.a', 'level': 62, 'portrait': 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', 'weight': 3}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 4668025
    {'hecke_orbit_code': 68769808446, 'n': 1, 'trace_an': 4}
  • id: 4668026
    {'hecke_orbit_code': 68769808446, 'n': 2, 'trace_an': 0}
  • id: 4668027
    {'hecke_orbit_code': 68769808446, 'n': 3, 'trace_an': 0}
  • id: 4668028
    {'hecke_orbit_code': 68769808446, 'n': 4, 'trace_an': 8}
  • id: 4668029
    {'hecke_orbit_code': 68769808446, 'n': 5, 'trace_an': -12}
  • id: 4668030
    {'hecke_orbit_code': 68769808446, 'n': 6, 'trace_an': 0}
  • id: 4668031
    {'hecke_orbit_code': 68769808446, 'n': 7, 'trace_an': -12}
  • id: 4668032
    {'hecke_orbit_code': 68769808446, 'n': 8, 'trace_an': 0}
  • id: 4668033
    {'hecke_orbit_code': 68769808446, 'n': 9, 'trace_an': -20}
  • id: 4668034
    {'hecke_orbit_code': 68769808446, 'n': 10, 'trace_an': 16}
  • id: 4668035
    {'hecke_orbit_code': 68769808446, 'n': 11, 'trace_an': 0}
  • id: 4668036
    {'hecke_orbit_code': 68769808446, 'n': 12, 'trace_an': 0}
  • id: 4668037
    {'hecke_orbit_code': 68769808446, 'n': 13, 'trace_an': 0}
  • id: 4668038
    {'hecke_orbit_code': 68769808446, 'n': 14, 'trace_an': 8}
  • id: 4668039
    {'hecke_orbit_code': 68769808446, 'n': 15, 'trace_an': 0}
  • id: 4668040
    {'hecke_orbit_code': 68769808446, 'n': 16, 'trace_an': 16}
  • id: 4668041
    {'hecke_orbit_code': 68769808446, 'n': 17, 'trace_an': 0}
  • id: 4668042
    {'hecke_orbit_code': 68769808446, 'n': 18, 'trace_an': 16}
  • id: 4668043
    {'hecke_orbit_code': 68769808446, 'n': 19, 'trace_an': 36}
  • id: 4668044
    {'hecke_orbit_code': 68769808446, 'n': 20, 'trace_an': -24}
  • id: 4668045
    {'hecke_orbit_code': 68769808446, 'n': 21, 'trace_an': 0}
  • id: 4668046
    {'hecke_orbit_code': 68769808446, 'n': 22, 'trace_an': 0}
  • id: 4668047
    {'hecke_orbit_code': 68769808446, 'n': 23, 'trace_an': 0}
  • id: 4668048
    {'hecke_orbit_code': 68769808446, 'n': 24, 'trace_an': 0}
  • id: 4668049
    {'hecke_orbit_code': 68769808446, 'n': 25, 'trace_an': -32}
  • id: 4668050
    {'hecke_orbit_code': 68769808446, 'n': 26, 'trace_an': 0}
  • id: 4668051
    {'hecke_orbit_code': 68769808446, 'n': 27, 'trace_an': 0}
  • id: 4668052
    {'hecke_orbit_code': 68769808446, 'n': 28, 'trace_an': -24}
  • id: 4668053
    {'hecke_orbit_code': 68769808446, 'n': 29, 'trace_an': 0}
  • id: 4668054
    {'hecke_orbit_code': 68769808446, 'n': 30, 'trace_an': 0}
  • id: 4668055
    {'hecke_orbit_code': 68769808446, 'n': 31, 'trace_an': 92}
  • id: 4668056
    {'hecke_orbit_code': 68769808446, 'n': 32, 'trace_an': 0}
  • id: 4668057
    {'hecke_orbit_code': 68769808446, 'n': 33, 'trace_an': -144}
  • id: 4668058
    {'hecke_orbit_code': 68769808446, 'n': 34, 'trace_an': 0}
  • id: 4668059
    {'hecke_orbit_code': 68769808446, 'n': 35, 'trace_an': 52}
  • id: 4668060
    {'hecke_orbit_code': 68769808446, 'n': 36, 'trace_an': -40}
  • id: 4668061
    {'hecke_orbit_code': 68769808446, 'n': 37, 'trace_an': 0}
  • id: 4668062
    {'hecke_orbit_code': 68769808446, 'n': 38, 'trace_an': -120}
  • id: 4668063
    {'hecke_orbit_code': 68769808446, 'n': 39, 'trace_an': 152}
  • id: 4668064
    {'hecke_orbit_code': 68769808446, 'n': 40, 'trace_an': 32}
  • id: 4668065
    {'hecke_orbit_code': 68769808446, 'n': 41, 'trace_an': 44}
  • id: 4668066
    {'hecke_orbit_code': 68769808446, 'n': 42, 'trace_an': 0}
  • id: 4668067
    {'hecke_orbit_code': 68769808446, 'n': 43, 'trace_an': 0}
  • id: 4668068
    {'hecke_orbit_code': 68769808446, 'n': 44, 'trace_an': 0}
  • id: 4668069
    {'hecke_orbit_code': 68769808446, 'n': 45, 'trace_an': 92}
  • id: 4668070
    {'hecke_orbit_code': 68769808446, 'n': 46, 'trace_an': 0}
  • id: 4668071
    {'hecke_orbit_code': 68769808446, 'n': 47, 'trace_an': -56}
  • id: 4668072
    {'hecke_orbit_code': 68769808446, 'n': 48, 'trace_an': 0}
  • id: 4668073
    {'hecke_orbit_code': 68769808446, 'n': 49, 'trace_an': -152}
  • id: 4668074
    {'hecke_orbit_code': 68769808446, 'n': 50, 'trace_an': -96}
  • id: 4668075
    {'hecke_orbit_code': 68769808446, 'n': 51, 'trace_an': 8}
  • id: 4668076
    {'hecke_orbit_code': 68769808446, 'n': 52, 'trace_an': 0}
  • id: 4668077
    {'hecke_orbit_code': 68769808446, 'n': 53, 'trace_an': 0}
  • id: 4668078
    {'hecke_orbit_code': 68769808446, 'n': 54, 'trace_an': 0}
  • id: 4668079
    {'hecke_orbit_code': 68769808446, 'n': 55, 'trace_an': 0}
  • id: 4668080
    {'hecke_orbit_code': 68769808446, 'n': 56, 'trace_an': 16}
  • id: 4668081
    {'hecke_orbit_code': 68769808446, 'n': 57, 'trace_an': 0}
  • id: 4668082
    {'hecke_orbit_code': 68769808446, 'n': 58, 'trace_an': 0}
  • id: 4668083
    {'hecke_orbit_code': 68769808446, 'n': 59, 'trace_an': 140}
  • id: 4668084
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  • id: 4668085
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  • id: 4668086
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  • id: 4668087
    {'hecke_orbit_code': 68769808446, 'n': 63, 'trace_an': 76}
  • id: 4668088
    {'hecke_orbit_code': 68769808446, 'n': 64, 'trace_an': 32}
  • id: 4668089
    {'hecke_orbit_code': 68769808446, 'n': 65, 'trace_an': 0}
  • id: 4668090
    {'hecke_orbit_code': 68769808446, 'n': 66, 'trace_an': 256}
  • id: 4668091
    {'hecke_orbit_code': 68769808446, 'n': 67, 'trace_an': -176}
  • id: 4668092
    {'hecke_orbit_code': 68769808446, 'n': 68, 'trace_an': 0}
  • id: 4668093
    {'hecke_orbit_code': 68769808446, 'n': 69, 'trace_an': 8}
  • id: 4668094
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  • id: 4668095
    {'hecke_orbit_code': 68769808446, 'n': 71, 'trace_an': 28}
  • id: 4668096
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  • id: 4668097
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  • id: 4668098
    {'hecke_orbit_code': 68769808446, 'n': 74, 'trace_an': 0}
  • id: 4668099
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  • id: 4668100
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  • id: 4668101
    {'hecke_orbit_code': 68769808446, 'n': 77, 'trace_an': 0}
  • id: 4668102
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  • id: 4668103
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  • id: 4668104
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  • id: 4668105
    {'hecke_orbit_code': 68769808446, 'n': 81, 'trace_an': -372}
  • id: 4668106
    {'hecke_orbit_code': 68769808446, 'n': 82, 'trace_an': -32}
  • id: 4668107
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  • id: 4668108
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  • id: 4668109
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  • id: 4668110
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  • id: 4668111
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  • id: 4668112
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  • id: 4668113
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  • id: 4668114
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  • id: 4668115
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  • id: 4668116
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  • id: 4668117
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  • id: 4668118
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  • id: 4668119
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  • id: 4668120
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  • id: 4668121
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  • id: 4668122
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  • id: 4668123
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  • id: 4668124
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  • id: 4668125
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  • id: 4668126
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  • id: 4668127
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  • id: 4668128
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  • id: 4668129
    {'hecke_orbit_code': 68769808446, 'n': 113, 'trace_an': 364}
  • id: 4668130
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  • id: 4668131
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  • id: 4668132
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  • id: 4668133
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  • id: 4668134
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  • id: 4668135
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  • id: 4668136
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  • id: 4668137
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  • id: 4668138
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  • id: 4668139
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  • id: 4668140
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  • id: 4668141
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  • id: 4668142
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  • id: 4668143
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  • id: 4668144
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  • id: 4668145
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  • id: 4668146
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  • id: 4668147
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  • id: 4668148
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  • id: 4668149
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  • id: 4668150
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  • id: 4668151
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  • id: 4668152
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  • id: 4668153
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  • id: 4668154
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  • id: 4668155
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  • id: 4668156
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  • id: 4668157
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  • id: 4668158
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  • id: 4668159
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  • id: 4668160
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  • id: 4668161
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  • id: 4668162
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  • id: 4668163
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  • id: 4668164
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  • id: 4668165
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  • id: 4668166
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  • id: 4668167
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  • id: 4668168
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  • id: 4668169
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  • id: 4668170
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  • id: 4668171
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  • id: 4668172
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  • id: 4668173
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  • id: 4668174
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  • id: 4668175
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  • id: 4668176
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  • id: 4668177
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  • id: 4668178
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  • id: 4668179
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  • id: 4668180
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  • id: 4668181
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  • id: 4668182
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  • id: 4668183
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  • id: 4668184
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  • id: 4668185
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  • id: 4668186
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  • id: 4668187
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  • id: 4668188
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  • id: 4668189
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  • id: 4668190
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  • id: 4668191
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  • id: 4668192
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  • id: 4668193
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  • id: 4668194
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  • id: 4668195
    {'hecke_orbit_code': 68769808446, 'n': 449, 'trace_an': 0}
  • id: 4668196
    {'hecke_orbit_code': 68769808446, 'n': 457, 'trace_an': 0}
  • id: 4668197
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  • id: 4668198
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  • id: 4668199
    {'hecke_orbit_code': 68769808446, 'n': 467, 'trace_an': -2100}
  • id: 4668200
    {'hecke_orbit_code': 68769808446, 'n': 479, 'trace_an': 956}
  • id: 4668201
    {'hecke_orbit_code': 68769808446, 'n': 487, 'trace_an': 0}
  • id: 4668202
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  • id: 4668203
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  • id: 4668204
    {'hecke_orbit_code': 68769808446, 'n': 503, 'trace_an': 1604}
  • id: 4668205
    {'hecke_orbit_code': 68769808446, 'n': 509, 'trace_an': 0}
  • id: 4668206
    {'hecke_orbit_code': 68769808446, 'n': 512, 'trace_an': 0}
  • id: 4668207
    {'hecke_orbit_code': 68769808446, 'n': 521, 'trace_an': -816}
  • id: 4668208
    {'hecke_orbit_code': 68769808446, 'n': 523, 'trace_an': 0}
  • id: 4668209
    {'hecke_orbit_code': 68769808446, 'n': 529, 'trace_an': 396}
  • id: 4668210
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  • id: 4668211
    {'hecke_orbit_code': 68769808446, 'n': 547, 'trace_an': 356}
  • id: 4668212
    {'hecke_orbit_code': 68769808446, 'n': 557, 'trace_an': 0}
  • id: 4668213
    {'hecke_orbit_code': 68769808446, 'n': 563, 'trace_an': -1884}
  • id: 4668214
    {'hecke_orbit_code': 68769808446, 'n': 569, 'trace_an': 0}
  • id: 4668215
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  • id: 4668216
    {'hecke_orbit_code': 68769808446, 'n': 577, 'trace_an': 288}
  • id: 4668217
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  • id: 4668218
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  • id: 4668219
    {'hecke_orbit_code': 68769808446, 'n': 599, 'trace_an': -44}
  • id: 4668220
    {'hecke_orbit_code': 68769808446, 'n': 601, 'trace_an': 0}
  • id: 4668221
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  • id: 4668222
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  • id: 4668223
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  • id: 4668224
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  • id: 4668225
    {'hecke_orbit_code': 68769808446, 'n': 625, 'trace_an': -292}
  • id: 4668226
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  • id: 4668227
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  • id: 4668228
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  • id: 4668229
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  • id: 4668230
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  • id: 4668231
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  • id: 4668232
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  • id: 4668233
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  • id: 4668234
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  • id: 4668235
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  • id: 4668236
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  • id: 4668237
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  • id: 4668238
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  • id: 4668239
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  • id: 4668240
    {'hecke_orbit_code': 68769808446, 'n': 727, 'trace_an': 492}
  • id: 4668241
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  • id: 4668242
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  • id: 4668243
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  • id: 4668244
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  • id: 4668245
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  • id: 4668246
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  • id: 4668247
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  • id: 4668248
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  • id: 4668249
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  • id: 4668250
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  • id: 4668251
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  • id: 4668252
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  • id: 4668253
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  • id: 4668254
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  • id: 4668255
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  • id: 4668256
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  • id: 4668257
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  • id: 4668258
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  • id: 4668259
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  • id: 4668260
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  • id: 4668261
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  • id: 4668262
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  • id: 4668263
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  • id: 4668264
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  • id: 4668265
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  • id: 4668266
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  • id: 4668267
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  • id: 4668268
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  • id: 4668269
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  • id: 4668270
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  • id: 4668271
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  • id: 4668272
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  • id: 4668273
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  • id: 4668274
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  • id: 4668275
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  • id: 4668276
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  • id: 4668277
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  • id: 4668278
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  • id: 4668279
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  • id: 4668280
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  • id: 4668281
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  • id: 4668282
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