Embedded newform data - 225.4.k.d.49.9

Formats: - HTML - YAML - JSON - 2025-09-24T01:19:24.415204

• 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': 3600, 'analytic_conductor': 13.275429751291638, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 49, 'dim': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [6879707136, 0, -141416202240, 0, 2790449823744, 0, -2326399727616, 0, 1277150389504, 0, -390927000752, 0, 85199554593, 0, -12169374108, 0, 1274916666, 0, -92476512, 0, 4999971, 0, -189744, 0, 5274, 0, -92, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511486143987937, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '225.4.k.d', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.e.c', 'prim_orbit_index': 10, 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '3.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.4.k', 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 72, 0, -62, 0, 0, -34, 0, 46, 0, 0, 42, 0, -648, 0, 0, -1116, 0, 360, 0, 0, -96, 0, 1432, 0, 0, 592, 0, -488, 0, 0, 250, 0, -4798, 0, 0, -1268, 0, -94, 0, 0, 220, 0, 2868, 0, 0, 2450, 0, 3034, 0, 0, 8132, 0, -1962, 0, 0, 170, 0, -1656, 0, 0, -8944, 0, 9860, 0, 0, 1644, 0, -1312, 0, 0, 2632, 0, -5578, 0, 0, 4220, 0, -4334, 0, 0, -11550, 0, -5138, 0, 0, -12192, 0, 13352, 0, 0, -1034, 0, -1186, 0, 0, -4640, 0, -5352, 0, 0, 11004, 0, -688, 0, 0, 1144, 0, -9188, 0, 0, 16046, 0, 20668, 0, 0, 5532, 0, 912, 0, 0, -10396, 0, 3492, 0, 0, 1726, 0, -1704, 0, 0, -8928, 0, -29292, 0, 0, -2786, 0, 5032, 0, 0, -16358, 0, 6010, 0, 0, 3292, 0, -3792, 0, 0, 40584, 0, -3488, 0, 0, 500, 0, 5112, 0, 0, 6584, 0, 24462, 0, 0, 426, 0, 27178, 0, 0, -30202, 0, 15278, 0, 0, 5576, 0, -3160, 0, 0, -16374, 0, -49236, 0, 0, -16404, 0, 5228, 0, 0, 29734, 0, 19538, 0, 0, -18600, 0, -23916, 0, 0, 76048, 0, -56320, 0, 0, 12014, 0, -16348, 0, 0, -11496, 0, 48144, 0, 0, 13702, 0, -14864, 0, 0, -116724, 0, -16936, 0, 0, 8300, 0, -1620, 0, 0, -23924, 0, -694, 0, 0, 10436, 0, 570, 0, 0, 33652, 0, 34480, 0, 0, 14400, 0, -684, 0, 0, 66722, 0, -7496, 0, 0, 7468, 0, 9388, 0, 0, -75774, 0, 9768, 0, 0, -63136, 0, 52008, 0, 0, -12246, 0, -19884, 0, 0, -8052, 0, -32928, 0, 0, 11408, 0, 13640, 0, 0, -43272, 0, -2246, 0, 0, 75310, 0, 13200, 0, 0, -8892, 0, -3232, 0, 0, 20218, 0, -94076, 0, 0, -17848, 0, 17736, 0, 0, -104, 0, 17296, 0, 0, 28472, 0, 47154, 0, 0, 67330, 0, 77384, 0, 0, 65052, 0, -60296, 0, 0, -38100, 0, 88242, 0, 0, 70496, 0, 23400, 0, 0, 51042, 0, 15900, 0, 0, 3540, 0, -7420, 0, 0, -174698, 0, -59778, 0, 0, -41928, 0, -4224, 0, 0, 70948, 0, -34118, 0, 0, 31754, 0, -37752, 0, 0, -19594, 0, -33270, 0, 0, -57972, 0, -29488, 0, 0, 70686, 0, 118220, 0, 0, 69780, 0, -51648, 0, 0, 4152, 0, -80666, 0, 0, -49800, 0, 9222, 0, 0, -158328, 0, 69756, 0, 0, -42470, 0, -19686, 0, 0, -9246, 0, -117724, 0, 0, 17332, 0, 36732, 0, 0, -25344, 0, 16180, 0, 0, -10648, 0, 104928, 0, 0, -58872, 0, -15630, 0, 0, 49332, 0, -17698, 0, 0, -42176, 0, 7898, 0, 0, 38684, 0, 22084, 0, 0, -43114, 0, 123894, 0, 0, -55624, 0, 32340, 0, 0, 129998, 0, 21378, 0, 0, 93880, 0, -2816, 0, 0, -28500, 0, -225216, 0, 0, 33708, 0, 51912, 0, 0, 5618, 0, -58286, 0, 0, 63152, 0, -150910, 0, 0, -93088, 0, -162200, 0, 0, 59658, 0, 112908, 0, 0, -43710, 0, 20304, 0, 0, -34300, 0, 22904, 0, 0, 151980, 0, -13106, 0, 0, 47340, 0, 51788, 0, 0, 49116, 0, 43240, 0, 0, -94150, 0, 174374, 0, 0, 138900, 0, 91008, 0, 0, -126668, 0, -145448, 0, 0, -68710, 0, -19248, 0, 0, 7724, 0, -75016, 0, 0, -13716, 0, 87882, 0, 0, 50864, 0, -79762, 0, 0, 70414, 0, -8268, 0, 0, -97590, 0, 26486, 0, 0, 16338, 0, 96712, 0, 0, -62716, 0, 56100, 0, 0, 390132, 0, 27912, 0, 0, -109436, 0, -226488, 0, 0, -205634, 0, 114490, 0, 0, 26512, 0, 74258, 0, 0, -285824, 0, -22908, 0, 0, -69996, 0, 41752, 0, 0, -23860, 0, 36804, 0, 0, -20834, 0, 1680, 0, 0, 204380, 0, 31922, 0, 0, -18368, 0, -128376, 0, 0, 113060, 0, -138124, 0, 0, -107560, 0, -6318, 0, 0, -115590, 0, -176458, 0, 0, 373828, 0, -61068, 0, 0, -125912, 0, 194032, 0, 0, 35888, 0, 47088, 0, 0, -145854, 0, -37136, 0, 0, 17612, 0, 304, 0, 0, 237092, 0, 176160, 0, 0, -54080, 0, 88118, 0, 0, 174922, 0, 105858, 0, 0, -140440, 0, 6816, 0, 0, -261836, 0, -36, 0, 0, 79530, 0, 4304, 0, 0, -173230, 0, -798, 0, 0, -62928, 0, 128784, 0, 0, 205008, 0, 150620, 0, 0, 169776, 0, -164896, 0, 0, 20118, 0, 173126, 0, 0, 140684, 0, 15478, 0, 0, -37344, 0, 14790, 0, 0, -169860, 0, -126568, 0, 0, -443592, 0, -802688, 0, 0, 1884, 0, -75540, 0, 0, 146036, 0, 6384, 0, 0, -21696, 0, -105720, 0, 0, -171040, 0, 119136, 0, 0, -78560, 0, -118368, 0, 0, 280618, 0, 79626, 0, 0, -8498, 0, 20308, 0, 0, 98404, 0, 166260, 0, 0, -167960, 0, 264240, 0, 0, -32500, 0, -209728, 0, 0, -20684, 0, 29688, 0, 0, 117666, 0, 153072, 0, 0, 79132, 0, 352540, 0, 0, 91832, 0, 26954, 0, 0, -15132, 0, -84804, 0, 0, -283056, 0, -69084, 0, 0, 131960, 0, 13092, 0, 0, -263018, 0, -340420, 0, 0, -79376, 0, 101010, 0, 0, 322596, 0, -186812, 0, 0, 132132, 0, -75564, 0, 0, 664452, 0, 324240, 0, 0, 141990, 0, 79404, 0, 0, 169276, 0, 36070, 0, 0, 35412, 0, -2692, 0, 0, -267384, 0, 175384, 0, 0, 21852, 0, 284272, 0, 0, -288368, 0, -271368, 0, 0, -21740, 0, 204842, 0, 0, 31982, 0, -25386, 0, 0, 183096, 0, -179608, 0, 0, 235068, 0, -77996, 0, 0, 88728, 0, -170684, 0, 0, -119998, 0, -217250, 0, 0, -353496, 0, 51254, 0, 0, -284400, 0, -79008, 0, 0, -260204, 0, -190634, 0, 0, 18662, 0, -537192, 0, 0, 97718, 0, -141868, 0, 0, 344116, 0, 241532, 0, 0, -111760, 0, -54160, 0, 0, 153356, 0, 74180, 0, 0, -114312, 0, 19666, 0, 0, 220960, 0, 166080, 0, 0, -276166, 0, 301416, 0, 0, -191012, 0, 423338, 0, 0, 124104, 0, -110284, 0, 0, 36906, 0, 175844, 0, 0, -63672, 0, -17248, 0, 0, -189756, 0, 152550, 0, 0, -106624, 0], 'weight': 4, '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], [0.48077634783592715, -0.27757635384307766], [0.6609518228826001, 0.7504283362374904], [-0.34590273557436507, 0.5991211124918628], [0.0, 0.0], [0.5260711648943248, 0.1773235977471639], [1.6010857304427883, -0.9243872774668125], [0.0, 0.9392103881864693], [-0.12628537565633585, 0.9919939535578521], [0.0, 0.0], [0.3686112500255223, 0.6384534132856792], [-0.6782225032699776, 0.13641497707188074], [-0.36006713063642276, -0.20788485479927482], [0.5131761000363343, -0.8888470784929798], [0.0, 0.0], [-0.08520014053002332, -0.14757097221000873], [0.0, 0.4154948775101047], [0.2146390429698267, 0.5119810641852556], [-0.5687167728202278, 0.0], [0.0, 0.0], [1.751926938796004, 0.5905246447785951], [0.3544391411170128, 0.2046355335352471], [0.8888924570688007, 0.5132022993693], [-0.7048100889837396, 0.6207728181421214], [0.0, 0.0], [-0.23081568005752134, 0.0], [-0.8278889213695384, 0.5608920875476692], [0.0, 1.2789923520236404], [0.2601139509419154, 0.4505305787888759], [0.0, 0.0], [0.03139102433098207, -0.05437084904289177], [-0.8953044804659912, -0.516904282803718], [-0.23547925505771625, 0.6986032744118621], [0.11533155313973104, 0.19976010975384403], [0.0, 0.0], [-0.5506420641382188, -0.41879365696356746], [0.0, 1.8217286402225061], [-0.2734255729895438, 0.1578623281688408], [-0.08198434063825888, -0.4076064515065632], [0.0, 0.0], [0.8446912688757798, -1.463048194402674], [1.0062007130618396, -0.2023832098466983], [-1.0427070254891195, 0.6020071818520571], [-0.5100145589892576, 0.0], [0.0, 0.0], [0.5698112921712555, 0.0], [0.6349504615080204, -0.3665888198737327], [0.05442825095933316, -0.16147390279190857], [1.2089836774850113, -2.094021154925505], [0.0, 0.0], [-0.31179912964510775, 0.27462209668868637], [0.24909641095510182, -0.14381587991909767], [0.0, -1.5799932058188593], [-0.2423390314689574, 0.4994660375620724], [0.0, 0.0], [0.8681941337042385, 1.5037563504089881], [-0.37589438769943917, -0.4267811816178384], [0.25011327071005524, 0.14440296417234813], [0.017151216264429548, -0.029706777981593664], [0.0, 0.0], [-0.06407189593327073, -0.11097577909369062], [0.0, -0.03485362430877336], [0.7147928770659161, 1.7050039583138372], [-0.4035213433660619, 0.0], [0.0, 0.0], [0.08070289345630613, 0.40123540388256], [-0.342496965977665, -0.19774071550383499], [-0.2489317532485242, -0.14372081474788095], [0.20239354217725902, 1.0062520829278756], [0.0, 0.0], [0.10937030930237367, 0.0], [-0.9316910261997008, -0.11860853669246131], [0.0, -1.1412487134710125], [0.5056687936444711, 0.8758440423942861], [0.0, 0.0], [0.19672068748554153, -0.34073022562483696], [1.1803564249930854, 0.6814790997094621], [-0.15255804448390575, -0.17321062676309062], [-0.6819971284274633, -1.181253677052443], [0.0, 0.0], [-0.9681040077906763, -0.2505486581477343], [0.0, -0.9378652901504869], [0.5983427510879059, -0.34545334840826375], [-0.9597921027895749, 0.8453523265229292], [0.0, 0.0], [-0.3342059170516813, 0.5788616285236617], [-0.1661681226323955, 0.4929758867523622], [-0.5996420781310191, 0.3462035152263705], [1.9082810553830614, 0.0], [0.0, 0.0], [-0.7686644598179411, 0.0], [-0.614940665063034, 0.3550361585097902], [0.06154938054079167, -0.012379797625084538], [0.20351277596037498, -0.35249446795275147], [0.0, 0.0], [-0.20385350746052883, -1.013510679677005], [0.7269655254212928, -0.4197137417935611], [0.0, -1.3423411242083394], [-0.6798921357883909, 0.2850328021028679], [0.0, 0.0], [-0.28872356603891897, -0.5000838857218757], [-0.07367704652560896, 0.21857987421936556], [-0.6799013740826751, -0.39254124134902896], [0.19524761517411474, -0.3381787895382228], [0.0, 0.0], [-0.43856875316803434, -0.7596233630991694], [0.0, -1.2272426120115423], [-0.04967324882600914, -0.6900198390353612], [-0.43013855329697426, 0.0], [0.0, 0.0], [-1.3670767925583611, 1.204074865552506], [-0.2728254584686812, -0.15751585188867617], [0.5750857988538216, 0.3320259407753849], [-0.29918549517247833, -0.10084690425563929], [0.0, 0.0], [-0.35989650876745893, 0.0], [0.25169173185105226, -0.3309315994846674], [0.0, -0.019043088298617783], [0.3840781786229724, 0.6652429194535029], [0.0, 0.0], [0.2282514927092438, -0.3953431822758474], [-0.06160850425144298, -0.03556968651394081], [1.6562130562973263, -0.33312410751875815], [0.021716482377136304, 0.03761405083887422], [0.0, 0.0], [0.8169242909316557, 0.6213159755549658], [0.0, 1.2075173045972987], [0.7013009627286089, -0.404896299614306], [-1.140942357109787, -0.38457915408740834], [0.0, 0.0], [-0.21312418190036875, 0.36914191137299], [-0.3370950524606152, -0.382729376959206], [-0.9105643096259398, 0.5257145492770021], [-0.21955258726350343, 0.0], [0.0, 0.0], [-0.39023710519575494, 0.0], [-1.5316070604044867, 0.8842737486172618], [0.3766178122596812, 0.4276025399534098], [0.053392039113660215, -0.09247772446456426], [0.0, 0.0], [0.6947703031549846, 0.23418726967876563], [0.05258265786808094, -0.030358611674842523], [0.0, 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[-0.005845144143960877, 0.0], [0.0, 0.0], [-0.492768243401385, 0.0], [-1.077459588569007, 0.6220715835012597], [0.6236864929361944, 0.7081182032098527], [-0.23724832308978064, 0.41092614960201646], [0.0, 0.0], [-0.7947538942520221, -0.26788888891229545], [-0.6248030606182245, 0.360730215238434], [0.0, 1.5886142546368849], [0.808926602920613, -0.33912822959578837], [0.0, 0.0], [0.1516234623688165, 0.2626195404422979], [-0.3759935769625017, 0.07562585277430232], [0.8095533331237563, 0.46739583480235947], [-1.6348228060393664, 2.8315961614325027], [0.0, 0.0], [0.4980292071829034, 0.8626118904940355], [0.0, -0.4204835349732214], [1.217417250663995, 0.15498279427934045], [0.0049372135295350505, 0.0], [0.0, 0.0], [0.998267752784983, 0.3364876109002629], [-1.2774774198053889, -0.7375519322083098], [0.37131042369217276, 0.21437617307158993], [0.1773253947799215, -0.1561821925739143], [0.0, 0.0], [-0.02150032877169361, 0.0], [0.690768513046104, 0.03786385209392926], [0.0, -0.1974196866987117], [-0.1373568727163991, -0.23790908231357455], [0.0, 0.0], [-0.01091786907507939, 0.01891030394842253], [-1.465444637900556, -0.8460748561743796], [-0.12022045502244783, 0.3566615815451806], [0.7034138652247732, 1.2183485533177139], [0.0, 0.0], [0.05432020878738124, -0.4266948440627204], [0.0, 0.5546488862394978], [-0.6608737277973565, 0.3815556246441552], [0.312873622336964, 1.5555325075245108], [0.0, 0.0], [-0.05999869191088582, 0.10392078277732605], [1.3288665509525963, -0.2672829332641994], [-0.14166530695948676, 0.08179050310789064], [-1.235805879853232, 0.0], [0.0, 0.0], [-0.8889662040741817, 0.0], [-0.05620904945989038, 0.0324523098365607], [0.4969859000317693, -1.4744227767054139], [0.05612622878755973, -0.09721347989728842], [0.0, 0.0], [-0.35868450785376693, 0.3159171473912311], [-0.9443508265500142, 0.5452212039180964], [0.0, -0.5164893399141484], [-1.0217931799597784, -1.5081889589818065], [0.0, 0.0]], 'angles': [-0.28856775820070113, None, None, -0.14562182696136947, -0.023250014040121395, -0.19999563350915703, 0.03330660826517366, -0.2958902780078493, -0.08089619527029085, -0.04145326751175074, -0.411669809098852, 0.18229185763034605, -0.2565586862018525, -0.43614940865724616, -0.2735961273643319, -0.3550411276895315, -0.4139368319703727, -0.09353768225130109, -0.19834687007436422, -0.24129224359876603, -0.4033506235253786, -0.4638891569133066, -0.2771959103093944, -0.04838642089370852, -0.2643985662929091, -0.1299487589158433, -0.23086865431715603, -0.3948560830628369, -0.2844988656775456, -0.11280058871225021, 0.10316546735618917, -0.45084861224566797, 0.33933966844277236, -0.4081650171633272, -0.3712707265232389, -0.04549491233737206, -0.17166543923471672, 0.055041975917917596, -0.0888322906734939, -0.43459107094081656, -0.22495230212634038, -0.2874043535132455, -0.06716937703146979, -0.08530350370140834, 0.08969095526706268, -0.32789037289454676, -0.3640274944253271, -0.31717789901927684, -0.2887330276407593, -0.33483760193443723, 0.06541172439708015, -0.3814990927674677, -0.08390125570362791, -0.2585561067518041, -0.24385610566022523, -0.31840637007625977, -0.4279256138498777, -0.2916628831058742, -0.3201773740305991, -0.0615179227655883, -0.2128876169782838, -0.16819583314938832, 0.08127300636636303, -0.3375443458053971, -0.2746349158003959, -0.40220330718222713, -0.44145939196396894, -0.23924495041933863, -0.11792530996216635, -0.16301498375645393, -0.3374476820703228, -0.3893903714876491, -0.3933014329915407, -0.14337404652476612, -0.38785876951345877, -0.09179606315086417, -0.007364237808751261, 0.030480691239133606, -0.37488196362415777, 0.22121806164662142, -0.46514487545183364, -0.05208699605085317, -0.09264518844319587, 0.14176137208463635, -0.12518740832068567, -0.3745364696948226, -0.24283946549423638, -0.4538094980078488, 0.06490927883679323, -0.11326002657808079, -0.4453743642697249, 0.07595484604547487, -0.4602083364829152, -0.4999166207397754, -0.3396618769787333, 0.09257794318571587, -0.3777435662925457, -0.2675232888013194, 0.019528030672449962, -0.27555134215131666, -0.31271433538337157, 0.03959064903800556, -0.306379619817331, -0.07588091880393388, -0.3114611563695739, -0.45460307045862364, -0.3466056536855159, -0.4319592023686104, -0.27996623304078494, -0.019531765113304827, -0.08137158543603534, 0.09109624679811688, -0.21605103107263748, -0.4282452244094099, -0.3702267657122894, 0.024361023232288885, -0.1335952103586431, 0.03274724303572862, -0.47962138485017314, -0.0020718469154113093, -0.4257420535609799, -0.33123394560577046, -0.17896206784755467, -0.4340810328619126, -0.02645695865127236, -0.2243389719322026, -0.08142874479695036, -0.19312246408570993, -0.19970369918220196, -0.11562217150601294, -0.10171961611503955, -0.09122573980686681, -0.40872830227428963, 0.03905214915858623, 0.1960135733099792, 0.17166283900012339, 0.15404898307564746, -0.1221886997432631, -0.1747801891527509, -0.15750971406260536, -0.18335800345126613, -0.4662413047174925, -0.1698562141121603, 0.13182603372273413, -0.36261412763461154, -0.15516688039119067, -0.3686958295731347, -0.15758436623428854, -0.28348859371520074, 0.10286265443153433, -0.28157169496849704, -0.3059518534254995, 0.09345707438398386, -0.05967403529059626, -0.33571010364867854, -0.12984308574913872, -0.3203930783302993, -0.460120243043598, 0.028605913762711887, -0.34875231831703735, -0.4401876966430375, 0.1460829471701517, -0.29867581440698077, -0.2517109747572317, -0.327186892640641, -0.3956390971214731, -0.3233063125760753, -0.4251105034122674], 'char_orbit_index': 11, 'conrey_index': 49, 'dual_conrey_index': 124, 'dual_embedding_index': 9, 'dual_embedding_m': 23, 'embedding_index': 9, 'embedding_m': 9, 'hecke_orbit': 4, 'hecke_orbit_code': 13511486143987937, 'label': '225.4.k.d.49.9', 'level': 225, 'weight': 4}
• 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': 3600, 'analytic_conductor': 13.275429751291638, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'conrey_index': 49, 'cusp_dim': 168, 'dim': 104, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687261876449, 'hecke_orbit_dims': [8, 8, 12, 28, 48], 'label': '225.4.k', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 192, 'mf_new_dim': 112, 'num_forms': 5, 'prim_orbit_index': 10, 'relative_dim': 52, 'sturm_bound': 120, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [104, 0, 0, 202, 0, -4, 0, 0, 64, 0, -98, 0, 0, -6, 0, -754, 0, 0, 8, 0, -78, 0, 0, -510, 0, 1192, 0, 0, 682, 0, 34, 0, 0, -378, 0, -128, 0, 0, -58, 0, -502, 0, 0, -4664, 0, 1104, 0, 0, 2358, 0, 68, 0, 0, 6682, 0, -2052, 0, 0, 1964, 0, 34, 0, 0, -6512, 0, 8254, 0, 0, -1026, 0, 2240, 0, 0, 4612, 0, -1214, 0, 0, 686, 0, 440, 0, 0, -5682, 0, -9494, 0, 0, -10272, 0, 2372, 0, 0, 402, 0, -17516, 0, 0, -136, 0, -10206, 0, 0, 8532, 0, -2358, 0, 0, 3824, 0, 7556, 0, 0, 9040, 0, 35476, 0, 0, 6420, 0, -4450, 0, 0, 2030, 0, 6150, 0, 0, -11146, 0, -5478, 0, 0, 6996, 0, -10152, 0, 0, -5002, 0, -30838, 0, 0, -20542, 0, -10970, 0, 0, 4234, 0, 4966, 0, 0, -816, 0, 44804, 0, 0, 3712, 0, 37764, 0, 0, 4580, 0, 5412, 0, 0, 3438, 0, 9962, 0, 0, -15494, 0, -24760, 0, 0, -7528, 0, 9136, 0, 0, 7458, 0, -79188, 0, 0, -30570, 0, -27106, 0, 0, -3050, 0, -10296, 0, 0, -13312, 0, 21564, 0, 0, 66494, 0, 70940, 0, 0, -7498, 0, 3562, 0, 0, 7434, 0, 37224, 0, 0, 11798, 0, -26996, 0, 0, 16596, 0, 25368, 0, 0, 8534, 0, -56082, 0, 0, -8710, 0, -62848, 0, 0, 19262, 0, 1726, 0, 0, -7264, 0, 78854, 0, 0, 28992, 0, 50256, 0, 0, -3592, 0, -27490, 0, 0, -5648, 0, 31754, 0, 0, -32394, 0, -82596, 0, 0, -60424, 0, -21320, 0, 0, -12918, 0, -90792, 0, 0, -23994, 0, -43362, 0, 0, -31240, 0, 18276, 0, 0, -5072, 0, 50882, 0, 0, 60170, 0, 102852, 0, 0, 9678, 0, 26282, 0, 0, -10282, 0, -1942, 0, 0, 46486, 0, -38598, 0, 0, -66284, 0, 5284, 0, 0, -1434, 0, -80478, 0, 0, 64250, 0, -17686, 0, 0, 38742, 0, -29054, 0, 0, 54480, 0, 218250, 0, 0, 14986, 0, 147612, 0, 0, 39804, 0, 23682, 0, 0, 14510, 0, -27434, 0, 0, -182824, 0, -85830, 0, 0, -57864, 0, 29328, 0, 0, 37012, 0, -170092, 0, 0, -13502, 0, -44400, 0, 0, -22072, 0, -3954, 0, 0, -928, 0, -1364, 0, 0, -54138, 0, 90908, 0, 0, 97002, 0, -50148, 0, 0, -36810, 0, -33112, 0, 0, 32508, 0, -27198, 0, 0, -75108, 0, -91452, 0, 0, -43126, 0, -89202, 0, 0, 110682, 0, -132550, 0, 0, 88054, 0, 62818, 0, 0, -18864, 0, 60296, 0, 0, 15280, 0, 172824, 0, 0, -58206, 0, 47620, 0, 0, 11198, 0, 114100, 0, 0, -43570, 0, 5570, 0, 0, -43048, 0, -14736, 0, 0, -49854, 0, 14466, 0, 0, -39752, 0, -10830, 0, 0, 140054, 0, -32292, 0, 0, 102100, 0, 39242, 0, 0, -126912, 0, -1812, 0, 0, 81522, 0, 31100, 0, 0, 57052, 0, -122704, 0, 0, 113362, 0, -98344, 0, 0, 119156, 0, 154120, 0, 0, 18164, 0, 106266, 0, 0, 157866, 0, -30324, 0, 0, 27782, 0, -11632, 0, 0, -98376, 0, -78610, 0, 0, -21990, 0, -54520, 0, 0, -67302, 0, -100734, 0, 0, -72626, 0, 90058, 0, 0, -85392, 0, 72342, 0, 0, -257168, 0, -156032, 0, 0, -42462, 0, -6810, 0, 0, -79298, 0, -10072, 0, 0, -118152, 0, 105394, 0, 0, -43124, 0, 65866, 0, 0, -14236, 0, 85824, 0, 0, 39390, 0, 47248, 0, 0, -5736, 0, -125314, 0, 0, -6632, 0, -10698, 0, 0, 280596, 0, 54852, 0, 0, -17384, 0, 23436, 0, 0, -72472, 0, 177706, 0, 0, -29498, 0, -57674, 0, 0, 185048, 0, -122112, 0, 0, -65538, 0, -171500, 0, 0, 12266, 0, 39090, 0, 0, 39008, 0, 35322, 0, 0, -71564, 0, 151334, 0, 0, -19928, 0, -81656, 0, 0, 114414, 0, 20986, 0, 0, -267632, 0, 12192, 0, 0, -135390, 0, -87282, 0, 0, -21732, 0, -214224, 0, 0, 190772, 0, -180404, 0, 0, 7514, 0, -51950, 0, 0, -113010, 0, 149360, 0, 0, 368050, 0, 90754, 0, 0, 571868, 0, -134964, 0, 0, -52598, 0, 146842, 0, 0, 93992, 0, 260328, 0, 0, 95696, 0, 74374, 0, 0, -57660, 0, -67398, 0, 0, -10500, 0, -130288, 0, 0, -302386, 0, 117084, 0, 0, -98170, 0, -74586, 0, 0, -41778, 0, 80588, 0, 0, -229920, 0, -17644, 0, 0, 112274, 0, 427600, 0, 0, -5048, 0, -42728, 0, 0, -372156, 0, -82080, 0, 0, 107756, 0, -413600, 0, 0, 124452, 0, -746168, 0, 0, -96, 0, 47338, 0, 0, 202602, 0, -113676, 0, 0, 236700, 0, 208290, 0, 0, -210496, 0, 252024, 0, 0, 83126, 0, 273858, 0, 0, 388598, 0, 148524, 0, 0, -7712, 0, -19368, 0, 0, -307692, 0, 75774, 0, 0, -147526, 0, -31236, 0, 0, -195172, 0, -264014, 0, 0, -96840, 0, 72774, 0, 0, -442830, 0, 140682, 0, 0, 8956, 0, -82196, 0, 0, -256668, 0, 344194, 0, 0, -517656, 0, 283890, 0, 0, -113760, 0, 152040, 0, 0, -39520, 0, -348630, 0, 0, 56888, 0, -852280, 0, 0, 273322, 0, 103514, 0, 0, 17312, 0, -221518, 0, 0, 329382, 0, -53628, 0, 0, 1131792, 0, 344484, 0, 0, 63578, 0, 130236, 0, 0, -85252, 0, 231490, 0, 0, 211794, 0, -48166, 0, 0, 136500, 0, -300058, 0, 0, -86958, 0, 3400, 0, 0, -305348, 0, -41334, 0, 0, 241312, 0, 258760, 0, 0, 50086, 0, 588756, 0, 0, -244284, 0, 5184, 0, 0, 294990, 0, 548882, 0, 0, -299046, 0, 243058, 0, 0, -5494, 0, -188780, 0, 0, -320248, 0, -42944, 0, 0, -240276, 0, -324156, 0, 0, -40634, 0, -84564, 0, 0, 18702, 0, -507720, 0, 0, 654850, 0, 112622, 0, 0, -140828, 0, -49764, 0, 0, -266324, 0, 237010, 0, 0, 891196, 0, -2812, 0, 0, 173202, 0, 105570, 0, 0, 55124, 0, -782328, 0, 0, -173966, 0, -235632, 0, 0, -250748, 0, 86272, 0, 0, -61614, 0, 20512, 0, 0, -325962, 0, 469682, 0, 0, -712740, 0, 125992, 0, 0, 132426, 0, 383214, 0, 0, 162604, 0], 'weight': 4, '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: 43443650
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 28, 'target_embedding_index': 9, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.49.9', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
  • id: 43443651
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511073827127521, 'target_is_minimal': False, 'target_label': '225.4.e.d.76.5', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 43443652
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 31, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474199756845, 'target_is_minimal': True, 'target_label': '45.4.e.c.31.3', 'target_level': 45, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 43443653
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 28, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.49.6', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
  • id: 43443654
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 28, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.124.6', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
  • id: 43443655
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 91, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007474199756935, 'target_is_minimal': False, 'target_label': '135.4.e.c.91.5', 'target_level': 135, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
  • id: 43443656
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511073827127521, 'target_is_minimal': False, 'target_label': '225.4.e.d.151.5', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 4}
  • id: 43443657
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 54043195595555221, 'target_is_minimal': False, 'target_label': '405.4.a.m.1.5', 'target_level': 405, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
  • id: 43443658
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597190006114281, 'target_is_minimal': False, 'target_label': '2025.4.a.bb.1.3', 'target_level': 2025, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
  • id: 43443659
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795222925717, 'target_is_minimal': False, 'target_label': '405.4.a.n.1.3', 'target_level': 405, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
  • id: 43443660
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 117093590378743785, 'target_is_minimal': False, 'target_label': '2025.4.a.ba.1.5', 'target_level': 2025, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
  • id: 43443661
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 28, 'target_embedding_index': 9, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.124.9', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
  • id: 43443662
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 46, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007474199756935, 'target_is_minimal': False, 'target_label': '135.4.e.c.46.5', 'target_level': 135, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 4}
  • id: 43443663
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 28, 'source_embedding_index': 9, 'source_hecke_orbit_code': 13511486143987937, 'source_is_minimal': False, 'source_label': '225.4.k.d.49.9', 'source_level': 225, 'target_conrey_index': 16, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474199756845, 'target_is_minimal': True, 'target_label': '45.4.e.c.16.3', 'target_level': 45, 'twist_class_label': '45.4.e.c.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 4}
• hecke_orbit_code 13511486143987937 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': 11, 'hecke_orbit': 4, 'label': '225.4.k.d', 'level': 225, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 37152235
    {'hecke_orbit_code': 13511486143987937, 'n': 1, 'trace_an': 28}
  • id: 37152236
    {'hecke_orbit_code': 13511486143987937, 'n': 2, 'trace_an': 0}
  • id: 37152237
    {'hecke_orbit_code': 13511486143987937, 'n': 3, 'trace_an': 0}
  • id: 37152238
    {'hecke_orbit_code': 13511486143987937, 'n': 4, 'trace_an': 72}
  • id: 37152239
    {'hecke_orbit_code': 13511486143987937, 'n': 5, 'trace_an': 0}
  • id: 37152240
    {'hecke_orbit_code': 13511486143987937, 'n': 6, 'trace_an': -62}
  • id: 37152241
    {'hecke_orbit_code': 13511486143987937, 'n': 7, 'trace_an': 0}
  • id: 37152242
    {'hecke_orbit_code': 13511486143987937, 'n': 8, 'trace_an': 0}
  • id: 37152243
    {'hecke_orbit_code': 13511486143987937, 'n': 9, 'trace_an': -34}
  • id: 37152244
    {'hecke_orbit_code': 13511486143987937, 'n': 10, 'trace_an': 0}
  • id: 37152245
    {'hecke_orbit_code': 13511486143987937, 'n': 11, 'trace_an': 46}
  • id: 37152246
    {'hecke_orbit_code': 13511486143987937, 'n': 12, 'trace_an': 0}
  • id: 37152247
    {'hecke_orbit_code': 13511486143987937, 'n': 13, 'trace_an': 0}
  • id: 37152248
    {'hecke_orbit_code': 13511486143987937, 'n': 14, 'trace_an': 42}
  • id: 37152249
    {'hecke_orbit_code': 13511486143987937, 'n': 15, 'trace_an': 0}
  • id: 37152250
    {'hecke_orbit_code': 13511486143987937, 'n': 16, 'trace_an': -648}
  • id: 37152251
    {'hecke_orbit_code': 13511486143987937, 'n': 17, 'trace_an': 0}
  • id: 37152252
    {'hecke_orbit_code': 13511486143987937, 'n': 18, 'trace_an': 0}
  • id: 37152253
    {'hecke_orbit_code': 13511486143987937, 'n': 19, 'trace_an': -1116}
  • id: 37152254
    {'hecke_orbit_code': 13511486143987937, 'n': 20, 'trace_an': 0}
  • id: 37152255
    {'hecke_orbit_code': 13511486143987937, 'n': 21, 'trace_an': 360}
  • id: 37152256
    {'hecke_orbit_code': 13511486143987937, 'n': 22, 'trace_an': 0}
  • id: 37152257
    {'hecke_orbit_code': 13511486143987937, 'n': 23, 'trace_an': 0}
  • id: 37152258
    {'hecke_orbit_code': 13511486143987937, 'n': 24, 'trace_an': -96}
  • id: 37152259
    {'hecke_orbit_code': 13511486143987937, 'n': 25, 'trace_an': 0}
  • id: 37152260
    {'hecke_orbit_code': 13511486143987937, 'n': 26, 'trace_an': 1432}
  • id: 37152261
    {'hecke_orbit_code': 13511486143987937, 'n': 27, 'trace_an': 0}
  • id: 37152262
    {'hecke_orbit_code': 13511486143987937, 'n': 28, 'trace_an': 0}
  • id: 37152263
    {'hecke_orbit_code': 13511486143987937, 'n': 29, 'trace_an': 592}
  • id: 37152264
    {'hecke_orbit_code': 13511486143987937, 'n': 30, 'trace_an': 0}
  • id: 37152265
    {'hecke_orbit_code': 13511486143987937, 'n': 31, 'trace_an': -488}
  • id: 37152266
    {'hecke_orbit_code': 13511486143987937, 'n': 32, 'trace_an': 0}
  • id: 37152267
    {'hecke_orbit_code': 13511486143987937, 'n': 33, 'trace_an': 0}
  • id: 37152268
    {'hecke_orbit_code': 13511486143987937, 'n': 34, 'trace_an': 250}
  • id: 37152269
    {'hecke_orbit_code': 13511486143987937, 'n': 35, 'trace_an': 0}
  • id: 37152270
    {'hecke_orbit_code': 13511486143987937, 'n': 36, 'trace_an': -4798}
  • id: 37152271
    {'hecke_orbit_code': 13511486143987937, 'n': 37, 'trace_an': 0}
  • id: 37152272
    {'hecke_orbit_code': 13511486143987937, 'n': 38, 'trace_an': 0}
  • id: 37152273
    {'hecke_orbit_code': 13511486143987937, 'n': 39, 'trace_an': -1268}
  • id: 37152274
    {'hecke_orbit_code': 13511486143987937, 'n': 40, 'trace_an': 0}
  • id: 37152275
    {'hecke_orbit_code': 13511486143987937, 'n': 41, 'trace_an': -94}
  • id: 37152276
    {'hecke_orbit_code': 13511486143987937, 'n': 42, 'trace_an': 0}
  • id: 37152277
    {'hecke_orbit_code': 13511486143987937, 'n': 43, 'trace_an': 0}
  • id: 37152278
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  • id: 37152473
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  • id: 37152475
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  • id: 37152476
    {'hecke_orbit_code': 13511486143987937, 'n': 883, 'trace_an': 0}
  • id: 37152477
    {'hecke_orbit_code': 13511486143987937, 'n': 887, 'trace_an': 0}
  • id: 37152478
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  • id: 37152479
    {'hecke_orbit_code': 13511486143987937, 'n': 911, 'trace_an': -170684}
  • id: 37152480
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  • id: 37152481
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  • id: 37152482
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  • id: 37152483
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  • id: 37152484
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  • id: 37152485
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  • id: 37152486
    {'hecke_orbit_code': 13511486143987937, 'n': 961, 'trace_an': 19666}
  • id: 37152487
    {'hecke_orbit_code': 13511486143987937, 'n': 967, 'trace_an': 0}
  • id: 37152488
    {'hecke_orbit_code': 13511486143987937, 'n': 971, 'trace_an': 301416}
  • id: 37152489
    {'hecke_orbit_code': 13511486143987937, 'n': 977, 'trace_an': 0}
  • id: 37152490
    {'hecke_orbit_code': 13511486143987937, 'n': 983, 'trace_an': 0}
  • id: 37152491
    {'hecke_orbit_code': 13511486143987937, 'n': 991, 'trace_an': -17248}
  • id: 37152492
    {'hecke_orbit_code': 13511486143987937, 'n': 997, 'trace_an': 0}