Embedded newform data - 847.2.f.u.323.2

Formats: - HTML - YAML - JSON - 2026-03-10T23:23:25.430922

• 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': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'dim': 12, 'field_disc': 203293448000000000, 'field_disc_factorization': [[2, 12], [5, 9], [71, 4]], 'field_poly': [16, 48, 136, 376, 1036, 324, 266, 118, 59, -15, 7, -1, 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': [[2, [4096, -2560, 2624, -1768, 1441, -214, 273, -44, 69, -20, 9, -2, 1]], [3, [16, 48, 136, 376, 1036, 324, 266, 118, 59, -15, 7, -1, 1]], [13, [16777216, 524288, 2113536, 393728, 284688, -115264, 38136, -8768, 2692, -416, 62, -8, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90072336178348879, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '847.2.f.u', 'level': 847, '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': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '847.2.a.i', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}+\\beta _{2}+\\beta _{3}-\\beta _{6}-\\beta _{7}-\\beta _{8}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '847.2.f', 'trace_display': [2, 1, -1, 3], 'trace_hash': 174204491297465421, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.961', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '994.729', 'prec': 24}, {'__RealLiteral__': 0, 'data': '510.709', 'prec': 24}, {'__RealLiteral__': 0, 'data': '163646.743', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [12, 2, 1, -8, -1, 12, 3, 6, -4, 16, 0, 8, 8, -2, 5, -10, 8, -18, 0, 14, 4, 0, 28, 20, -2, 12, 19, 8, 0, -8, 13, -136, 0, -48, 1, -18, 17, -16, -20, -36, 16, -12, -16, 0, -24, 0, -4, -36, -3, 22, -20, 0, 10, -32, 0, 24, 16, 16, -1, 30, -16, 4, 4, -34, -96, 0, -12, 0, 7, 4, -5, 2, 16, -32, -20, 96, 0, 112, 28, 56, -15, -28, 8, 2, 24, -12, 64, 0, -84, -20, -8, -2, -17, 20, 24, 20, 11, -8, 0, -8, -16, -28, 4, 44, -5, -16, 0, 58, 32, 0, -60, 10, -25, 40, -19, 24, 24, -12, -8, 192, 0, -112, 12, 30, -3, 18, -24, 70, 8, -32, 96, 0, 0, -48, -1, 44, 11, 16, -8, -14, -16, 96, 0, -24, -24, -28, 1, 38, 0, -20, 12, 32, -96, 0, -36, -68, 3, -28, 6, -60, 7, -50, 24, -256, 0, 160, 32, -20, -21, -32, -56, 44, 16, -40, -8, 0, -52, -44, -13, -8, -11, -12, -12, -24, 13, 240, 0, 128, -19, -48, -41, -104, 16, 4, 8, -8, -160, 0, 48, 10, 45, -4, 0, -68, -16, -52, -2, 288, 0, -32, -8, 60, 29, 32, -32, -32, -13, 8, -48, 0, 240, -40, -23, -34, 46, -4, 48, 24, -15, -96, 0, 128, 40, 100, 20, 2, 0, -12, -24, 76, -96, 0, -32, -64, -1, -68, -8, -4, 32, 32, -37, -72, 0, -192, 8, -70, 34, -40, -17, 40, 56, 32, 192, 0, 120, 16, 23, 10, -10, 40, 0, -72, 20, -128, 0, -104, -24, -80, 38, 36, 24, 20, 8, -78, -96, 0, 64, 54, -9, 48, -15, 64, 32, 12, -5, 160, 0, -128, 40, -56, -4, 52, 20, -40, 16, 100, 160, 0, -192, 8, 28, 28, 17, -20, -6, 108, 23, 256, 0, -304, -32, 0, -8, 12, -8, 0, 0, -92, -16, 0, 76, 64, -26, -40, -1, 36, -24, -46, 29, -160, 0, 192, 3, -84, -5, -60, 12, -24, 24, -22, 256, 0, 172, 12, 63, 82, 20, 80, -28, 20, -23, -176, 0, 0, -16, 68, -3, 36, 8, 8, -10, -34, -128, 0, 116, 68, 8, -8, 17, 16, -24, 16, 1, -272, 0, -160, 20, 70, -53, -56, 40, 6, -8, 24, 96, 0, -136, 92, -16, -26, -18, 32, -52, -112, -57, 64, 0, -112, -8, 64, -43, -16, 1, -56, -40, 12, -352, 0, -64, -30, 54, -64, 8, -96, -8, 112, 16, -192, 0, -288, 20, 44, -33, -4, -24, -112, 24, -68, -128, 0, 16, -20, 19, 66, -19, -60, -32, 34, -7, -200, 0, 296, -64, -48, -24, 56, -8, -4, -64, -10, 192, 0, 36, 40, -17, 40, 19, 96, -3, -48, 17, 80, 0, 544, 56, 0, 28, 48, 40, -128, -32, 68, 28, 0, 148, 44, -27, 92, -24, -4, 44, 84, 8, -480, 0, -16, 5, -40, 24, -34, 8, 28, -24, -2, -256, 0, -268, -16, -39, -56, -16, 34, 56, 28, 28, -256, 0, -128, 44, -16, -21, 48, -16, -40, 20, 32, 208, 0, -144, 80, -22, 24, -4, -80, -48, -56, -67, 112, 0, 248, -104, 32, -33, 12, 88, 28, -16, -30, 32, 0, -320, -8, -28, -16, -21, 40, -40, 116, 32, 224, 0, -352, 24, -76, -1, 112, 15, 112, -32, -16, 64, 0, -100, 28, -12, 98, -85, -54, -56, -16, -8, 384, 0, 368, -24, -36, 56, -2, 16, 8, -64, 76, -64, 0, 96, 48, -80, -8, -36, 12, 80, 12, -86, 80, 0, -592, 24, 80, 16, -64, -28, 96, 72, 112, 192, 0, -200, 60, -47, -26, 37, -68, -21, -28, 35, -112, 0, 360, -32, 20, 1, -132, 72, -36, -56, 68, -32, 0, 504, -100, 21, -80, 23, 2, -40, 120, 19, 536, 0, 304, 17, 88, -7, 120, -32, 152, 8, -20, 48, 0, 100, -40, 80, -136, -24, 40, -24, 152, 83, -32, 0, 80, -40, 0, -36, -4, 72, 128, -11, -16, 0, 0, 128, -88, 63, -2, 19, 132, 16, 24, -81, -64, 0, 400, -64, -56, -4, -132, -80, -2, 24, -160, 224, 0, -112, 36, 16, 42, 41, -136, 52, -124, 35, -112, 0, 184, -24, 60, 69, -20, -4, -22, -92, 2, 224, 0, -308, -44, -7, 64, 32, -84, -40, -52, 5, -32, 0, -176, -16, -106, -112, 16, -16, -60, -48, -40, 64, 0, 0, 8, 23, -112, 9, -120, 56, -58, 26, -288, 0, -64, 8, 16, 8, -150, -24, 60, 20, -104, -224, 0, 248, 24, 22, -4, -12, -92, -15, -36, 8, -160, 0, 32, -56, -10, 99, 56, 56, 88, 16, 104, -100, 0, -16, -140, -50, -48, 95, -40, -28, 14, -6, 432, 0, -568, 19, -76, 38, 156, 80, 84, -64, -24, 128, 0, 64, -28, 48, 52, -24, -152, 0, -24, 57, 16, 0, -48, -36, -44, 47, 96, 40, -112, 8, 56, 224, 0, 412, 4, -11, 48, 7, -64, -112, 64, -59, -112, 0, -608, -120, -76, 47, 14, -24, -28, -80, -64, -352, 0, -124, -104, -12, 84, -4, -224, 32, 20, 63, 120, 0, -64, 40, 200, 78, -80, 3, 84, -8, -104, -16, 0, -12, -18, 16, -108, -3, 128, 8, -112, 24, -320, 0, -344, -8, -80, 7, -70, -32, 168, -16, 78, -64, 0, 32, 44, -35, -56, -8, 104, -120, 32, -84, 416, 0, -96, 48, 10, 24, -160, -120, -32, -72, 84, 96, 0, -240, -8, -120, -80, 94, 0, 0, 112, 40, 48, 0, -16, -40, 48, -45, 96, 56, 104, 16, 36, -4, 0, -156, 80, -4, 16, 13, -44, 88, 32, 27, 64, 0, -224, -11, 144, 24, 16, 112, 48, 24, -16, -112, 0, 448, 96, -3, 48, 8, -32, 84, -152, -25, 544, 0, -56, -96, 12, -11, -188, 32, -120, 16, 56, 96, 0, -112, -116, 59, 24, 12, 152, -48, 88, -59, -352], 'weight': 2, '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], [0.7799074642927326, 0.5666359407174927], [0.0648217705663573, -0.19950089612262925], [-0.021837630828225287, -0.06720931689093977], [-1.1365460836528678, 0.8257490648117469], [0.16359936066180183, -0.11886189307528629], [-0.11679744542982234, -0.35946557498348924], [0.3189500264961546, -0.981627245728826], [0.7734182487605727, 0.5619212496599856], [-1.3542998722897381, 0.0], [0.0, 0.0], [-0.014823872842792277, 0.0], [1.0720939121404076, 0.7789218211856489], [0.11259491473528228, -0.34653151545042965], [0.09106474892972846, 0.28026847859802306], [0.7478051244761242, -0.5433122255922469], [0.9375189294977025, -0.6811473730901405], [0.2847898893183492, 0.8764931539090459], [-0.4969148672022618, 1.5293467061660284], [0.08031750436340644, 0.05835408266327092], [-0.07928472154483086, 0.0], [0.0, 0.0], [1.072042687626355, 0.0], [-0.17516060974162187, -0.1272616322086384], [0.3008584878542495, -0.9259472150884647], [0.3947689456081881, 1.2149738848863536], [0.33194373168417746, -0.2411712379733555], [-0.02160885624547295, 0.015699753043890347], [0.40221641625674637, 1.2378948426950174], [-0.0877881155996124, 0.27018403814056513], [0.5284220140703833, 0.38392106595638065], [-0.14106493469985273, 0.0], [0.0, 0.0], [1.1171405935491712, 0.0], [0.4295740415585573, 0.31210381011943417], [0.02087672114390495, -0.0642519409747948], [-0.501314558304232, -1.5428875630392185], [-1.2541304235806623, 0.9111790883967285], [0.22489062693436127, -0.16339260461760133], [0.44807637665912603, 1.37903728784093], [-0.15549445623829924, 0.4785627280866315], [-0.061834746137184426, -0.044925572777079696], [0.653101392478032, 0.0], [0.0, 0.0], [-1.3430314280590698, 0.0], [0.8360940941202366, 0.6074579167924689], [-0.03506851934457584, 0.10792980465991298], [-0.059917223672895766, -0.18440625289131868], [-0.1155738563392782, 0.08396932175606758], [0.7593167516497483, -0.5516759123004269], [-0.07511787437354094, -0.23118904530704582], [0.02893881244682418, -0.08906450665299309], [-0.2536665868790435, -0.18429956330159175], [0.39554168536870865, 0.0], [0.0, 0.0], [-0.39011375061989634, 0.0], [0.2728951368495171, 0.1982699226070171], [-0.38774412340011444, 1.193353705224982], [-0.014616907912293944, -0.04498621684607377], [0.016848014624043665, -0.012240799136823976], [-0.33374686992473923, 0.2424812945889964], [0.194576798700635, 0.5988458100772075], [0.11165806940042579, -0.34364820198646234], [-0.8578227199985062, -0.6232446875681495], [-1.8616781025567744, 0.0], [0.0, 0.0], [-0.8056646122873861, 0.0], [-0.06625264192429023, -0.048135361950707785], [0.06949170513465663, -0.21387347686316974], [0.15817876542937606, 0.4868241822926968], [1.4555511984172824, -1.057519847339325], [0.7982789795550259, -0.5799836278594483], [-0.11653205583758704, -0.358648789804529], [0.4832765797239626, -1.4873723733188036], [-0.1652251192997723, -0.12004307586604389], [0.11363779083384713, 0.0], [0.0, 0.0], [0.26797800081935647, 0.0], [0.3383568357452529, 0.2458306308102507], [-0.40127542337529754, 1.2349987643951832], [0.2688227858286015, 0.8273514623622759], [-0.39244212869808737, 0.2851258962801136], [-0.13817599115724047, 0.10039073392502788], [0.0017313904794146564, 0.005328671974916457], [-0.5030766613428813, 1.5483107585520761], [0.5093586509335948, 0.3700707219106941], [0.2730335106758544, 0.0], [0.0, 0.0], [-0.5920427740978962, 0.0], [-1.0474402355229966, -0.7610098766514086], [0.1547777501208219, -0.47635693346787866], [-0.023410872444482783, -0.07205125671329445], [0.1108458472569358, -0.08053422208495023], [-0.0885071063934538, 0.06430417682553936], [-0.698089966161908, -2.148499996323734], [-0.009144078832072028, 0.0281425808841008], [-0.5052354768963534, -0.3670750606222707], [-0.13771694886075822, 0.0], [0.0, 0.0], [-0.06880231639246298, 0.0], [0.8691337120142909, 0.6314626043015462], [0.07241503124540859, -0.2228705495080256], [-0.4031559207366615, -1.2407863401659545], [1.1065552636520988, -0.8039594586314344], [0.09011073976528568, -0.06546928466950386], [-0.09340570812340643, -0.28747321016960475], [0.4187905737491782, -1.2889048543520247], [-0.02345781882619403, -0.017043102991474757], [-1.4917831345760724, 0.0], [0.0, 0.0], [-0.3403035487227554, 0.0], [-0.28264376978621786, -0.20535271902544397], [0.12011693278690799, -0.36968190657425315], [0.10048609008571356, 0.3092643851719101], [-1.2184259181304284, 0.8852382467457344], [0.07441461314908283, -0.054065381157875604], [0.3914842728864336, 1.2048647017256011], [0.01409097171621858, -0.04336755167380805], [-0.354348848123774, -0.25744950791163446], [0.30416427879478836, 0.0], [0.0, 0.0], [-0.3976902915044713, 0.0], [0.08539426713755362, 0.062042566723283316], [0.014263587718193473, -0.04389880910133919], [-0.011461463354944251, -0.03527475707944937], [0.28180638398238206, -0.20474432262660933], [-1.580689682192832, 1.1484382776923707], [-0.2722780403967248, -0.8379856424633386], [0.04233518861977947, -0.13029431305830438], 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0.4641179130763432], [-0.08731157453206305, 0.06343557208465357], [0.31737161776219497, 0.9767694031533848], [-0.2096154872219221, 0.6451301341598794], [-1.314142650607569, -0.9547805235320889], [0.3117948547003031, 0.0], [0.0, 0.0], [0.3862532666850871, 0.0], [-0.09835243843871617, -0.07145722925875649], [-0.019371800694763797, 0.059620272083714676], [-0.15316479891967394, -0.47139278010983854], [0.3708278174385888, -0.26942217993654277], [-1.0674803275601472, 0.7755698557815401], [0.4803570030955284, 1.47838684039395], [0.044014929651585794, -0.13546402437861252], [0.35110607439566965, 0.25509349488946814], [2.384212864061359, 0.0], [0.0, 0.0], [-1.5794571821415246, 0.0], [0.41406745127086503, 0.30083761281107085], [0.38541606463348815, -1.1861886770853598], [-0.05673863249446671, -0.1746235551500571], [1.5019084028062932, -1.091200327807378], [-0.15011851678391597, 0.10906748668460152], [-0.07098783817175168, -0.2184781008808612], [0.0050606536606128, -0.015575090458613695], [0.20440135413229704, 0.14850627655899812], [-0.8128144603435602, 0.0], [0.0, 0.0], [1.3075919378407412, 0.0], [0.44441944789647253, 0.3228896291694499], [-0.0907137383257325, 0.27918817904073073], [-0.046522374775426645, -0.14318114695662787], [-0.009114760698431418, 0.006622261280002271], [-0.1914511561218912, 0.13909740695834785], [0.11691318475066903, 0.35982178398586295], [-0.16669669477670498, 0.5130396732157929], [-0.03537216023642479, -0.025699378719182767], [0.21786487265230645, 0.0], [0.0, 0.0], [-0.8320174828347265, 0.0], [-0.005015758708577182, -0.0036441620119945697], [0.15442606088788963, -0.47527454530548124], [0.4663879565373092, 1.4353945357716842], [0.11312114836448428, -0.0821873251036019], [-0.36573902586349893, 0.26572495644108457], [0.07156525945153544, 0.2202552208476663], [0.0892956263012258, -0.2748236790090362], [-0.3165600418658078, -0.22999433308266687], [-0.10065029211118949, 0.0], [0.0, 0.0], [-0.1529303510062436, 0.0], [-0.27946319663353203, -0.2030418973665856], [0.09655842975614476, -0.29717628963597986], [-0.1771825543058307, -0.5453118304617154], [1.6766646768088018, -1.2181681929059582], [1.0481632985968363, -0.7615352127249835], [0.000443621074674778, 0.001365325278270558], [-0.07958087215177387, 0.244924740095563], [-0.06628948743760057, -0.048162131783093934], [0.5132405499872965, 0.0], [0.0, 0.0], [0.39089539351084346, 0.0], [0.6842403418369764, 0.4971297077214891], [-0.30224416617229716, 0.9302118944357406], [-0.012945084284037327, -0.039840872788327784], [0.10640726549747188, -0.07730940367267083], [-0.9705100910390924, 0.705116854998255], [-0.08363267325965248, -0.25739490166118945], [-0.11783456777994959, 0.36265750936651237], [-0.10694770125639488, -0.07770205323518325], [0.01569132919535843, 0.0], [0.0, 0.0], [-0.014182556453758047, 0.0], [-1.1537722994743838, -0.8382646432026771], [0.08421313335794524, -0.2591813741496922], [-0.24664521413530863, -0.7590959150673044], [0.08813917765666594, -0.06403686095098769], [0.8540238438481663, -0.6204846424863023], [0.44933228599228214, 1.3829025793197693], [0.0027803977912242103, -0.00855718450884919], [0.12183038374205252, 0.08851495499181405], [0.7001525720846644, 0.0], [0.0, 0.0], [-0.875938361149892, 0.0], [-0.07454181690880328, -0.05415780009903469], [-0.04235126314175488, 0.1303437853499561], [-0.20257629223877144, -0.62346571964527], [-0.9414030844601787, 0.6839693768557426], [0.002048303322841723, -0.001488179474299206], [0.23179360975043567, 0.7133873767513411], [0.27562396097377373, -0.848283327140018], [-0.5385083288629738, -0.3912492026040472], [-0.038282296676397466, 0.0]], 'angles': [-0.0699535656473457, -0.43327646267488884, -0.47394948790898656, None, None, -0.03472850610409999, -0.25163983922198985, 0.19865614697461725, -0.15996332506344713, 0.06278314716817894, -0.09705140572239021, -0.39942262829455916, -0.4904775967253982, -0.19705680569828166, -0.45903563177315315, -0.1750548060138556, -0.05376446946206747, -0.38306575768888024, -0.3159871095427841, -0.17193630629366263, -0.0801898357837086, -0.11647068311015735, -0.3636080019312292, -0.2978299842005746, -0.20054178065883774, -0.05974966522977762, -0.43689792263955624, -0.33150628805437543, -0.3839881529490365, -0.41886959309311245, 0.36573960537398487, -0.1361898503180626, -0.2744676529703471, -0.02216643633252346, -0.44734857562281055, -0.49481632633554135, 0.24250908384510386, -0.14382360693403212, -0.15348160647720796, 0.16374810032466663, -0.38047146560405626, -0.443241583076499, -0.027763158981930495, -0.3353917890511595, -0.31130059015367345, -0.1820392952604979, -0.21246700626274415, -0.2559360697316077, -0.41171711577985665, -0.2231391004112428, -0.13151719641200757, -0.32386435525218044, -0.25161660625069154, -0.25013328419598296, -0.09294415961968631, -0.16789503507494638, -0.386993421708139, 0.020001249651514938, -0.12106355403051156, -0.24427983447748627, -0.40238661773146317, -0.40691100063603886, -0.19486983482411704, 0.1528591698128923, -0.29158475565679215, -0.09592119258147565, -0.3029640729691396, -0.04570505628284364, -0.28316509082849883, 0.19626207041133228, -0.278599195498278, 0.02751889782936698, -0.0838995647645415, -0.24767049112320663, -0.25176073212664446, -0.24202436392433016, -0.006369842586982847, -0.35244695767692735, -0.39701133628097374, -0.49937835912281575, -0.20752429494434155, -0.45446840295783103, -0.010195250075085559, -0.06698641626476506, -0.3637884889883425, -0.479626286520569, -0.2304041954019069, -0.3178984802969664, -0.2138654251072652, -0.20723819719924755, -0.41926148340827935, -0.3626373158342586, 0.15687958791098428, -0.07257142477063651, -0.47345571902865075, -0.3683373612284379, -0.3712599738887026, -0.000592137414520567, -0.28379840820094526, -0.2989500676844019, 0.10967543330862602, 0.03711482222623845, -0.09878239263667137, -0.40917852943404265, -0.09840232770358114, -0.49603301201880984, -0.42250463293890506, -0.3123350599727386, -0.43406104776969145, -0.4446817214078768, -0.10529757465713842, 0.23170319025702102, -0.2765988113507068, -0.28360729101048593, -0.04670944885788631, -0.3343487784479057, -0.2819435698539042, -0.2325894652937904, 0.016160325901975647, -0.3086901401559465, -0.19702775812364698, -0.20493731842723953, -0.33883584743488443, -0.16192176865887503, -0.13192878202982347, -0.4277788069793057, -0.23698744481380832, -0.06206650783216964, -0.34583099018083213, -0.45358013592205254, -0.217019812192455, -0.25320425661636303, -0.414901229174534, -0.11662970132043494, -0.1728385483337831, -0.4212833490498586, -0.4591528643538729, -0.21329622500618006, -0.26461665198017004, -0.26338269976182155, -0.4569357957263592, -0.08933279707586193, -0.016024189151255423, -0.17548558854541751, 0.03462874619704735, -0.3946811098762564, -0.43066094206772226, -0.28620219737021724, -0.30780833879205394, -0.45137503034915794, -0.37622752015475724, -0.20303970079311381, 0.1850935122071604, -0.46354228645739515, -0.41459345337425985, -0.4991390355318454, -0.4646666111052051, -0.16066491090231405, -0.10571630486505647, -0.36887596271089745, -0.3182857161397466, -0.03152921437537024, -0.2086955130843782, 0.13132664078705594, -0.1605273892605368, -0.4846647259746477, -0.3221510513722412, 0.011187220561173205], 'char_orbit_index': 6, 'conrey_index': 323, 'dual_conrey_index': 729, 'dual_embedding_index': 2, 'dual_embedding_m': 11, 'embedding_index': 2, 'embedding_m': 5, 'embedding_root_imag': 0.3455456882399147, 'embedding_root_real': 0.11227460005750364, 'hecke_orbit': 21, 'hecke_orbit_code': 90072336178348879, 'label': '847.2.f.u.323.2', 'level': 847, 'weight': 2}
• 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': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, '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': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, -12, 0, 48, 8, -102, -4, -26, -6, 26, 32, 0, -8, 0, -200, 13, 28, 52, -54, -18, 26, -54, 14, -64, 0, 18, 14, 35, -40, 108, 0, -74, 10, -56, -16, 0, 44, -6, 12, 32, 42, -3, 32, 38, 6, 0, 0, -4, -6, 160, 6, -30, -28, -12, 4, 101, 60, 0, -128, 12, -18, 129, -10, 54, -56, 32, -32, -6, 0, -82, 10, -36, -18, 42, -16, -29, -32, 148, 0, 0, 16, -20, -14, -36, 24, -98, 46, 42, -6, -108, 0, -16, -60, 48, -90, 26, -36, 42, -52, -142, 124, 0, 32, -23, 116, -102, -118, 140, 14, 20, -62, 104, 0, 154, 58, -178, 8, 43, 70, 90, 2, 38, -44, 0, 44, -6, 56, 127, -46, 8, -8, 97, 50, 148, 0, -132, -96, -42, 24, -4, 102, -11, -88, -4, -32, 0, -320, 14, -6, -18, 56, -42, -6, -33, 20, -36, 0, -72, -32, -74, -52, 28, 6, -46, -28, -57, 72, 0, -364, 13, 82, -30, 26, -6, -20, -114, 76, -104, 0, 96, 10, 103, -122, 29, -60, -8, 16, -101, 56, 0, 440, -66, 8, -72, 78, -35, 48, 52, -2, -40, 0, 494, -20, 258, 114, 126, -2, -40, -12, 162, -44, 0, 656, 38, 4, -98, -14, 70, -34, 70, -80, 26, 0, 34, -62, -90, 154, -114, 12, -100, -30, 148, -80, 0, 260, 40, -304, -53, -92, -152, 26, 50, -8, -106, 0, -976, -22, -40, 180, 48, -100, 16, -36, -86, 200, 0, 28, -56, 32, -190, -176, 74, 64, 4, -14, -32, 0, -208, 44, 126, 32, 113, 110, 50, 134, -62, -80, 0, -92, 96, 142, 264, 82, -122, -32, 125, -74, 216, 0, -836, 114, -174, -102, -7, 118, 4, -30, 46, -60, 0, -256, 92, -196, -16, -162, -40, -94, -73, -64, 56, 0, 308, 2, 41, -168, -142, 82, 58, 16, -78, 0, 0, 580, 74, 24, 224, 16, 7, 36, -154, -16, -184, 0, 0, -52, 138, 42, -21, -158, 66, 48, 136, 12, 0, 600, -70, -202, 76, 14, 102, 118, -31, 108, -116, 0, 624, 28, 240, -226, 104, -28, 2, 60, -1, 8, 0, -352, -88, -4, 179, 152, 72, -66, -96, -206, 36, 0, -888, 20, -124, -140, 150, 18, -98, 10, 294, -284, 0, -384, -8, 50, -48, -196, -112, -16, -10, 38, -232, 0, -636, -2, 272, 52, 64, -160, 51, 68, -252, 204, 0, 216, -48, -34, 152, 66, 164, -32, -1, -18, 278, 0, 86, 88, -318, 0, -196, -12, 48, -104, -88, 132, 0, -308, 29, -4, -236, -8, -30, -32, -16, 240, -76, 0, 1320, -52, 32, 134, 137, 12, 62, -54, 254, -12, 0, 864, 42, 72, -112, -64, -24, 50, -10, -264, 120, 0, 1184, 0, -124, 66, -226, 106, -106, -42, 27, 204, 0, -796, -63, -292, -228, -44, -18, -206, -50, 58, 12, 0, 358, 212, -238, -70, 211, -72, -178, -4, -243, -272, 0, -100, -96, -66, 44, -126, -82, -72, 121, 60, -120, 0, -956, -120, 186, -46, -318, 24, 40, 130, -355, -116, 0, -604, 94, 24, 100, -12, -106, -36, 98, 0, -16, 0, -220, -90, -174, -238, -216, 26, 121, 18, 22, -180, 0, 384, 12, 208, 277, 166, -70, 58, -84, 26, -104, 0, 748, 20, -248, 230, 14, -116, 186, 16, 49, 104, 0, -40, 40, 116, 260, 120, 116, 36, -35, -24, 108, 0, -1188, 220, 84, 46, -460, 60, 78, 48, 308, 80, 0, -584, -44, 76, 108, 224, 148, 32, -32, 178, 64, 0, 468, 52, 14, 54, 186, 22, 127, -132, -346, 12, 0, 568, 76, 124, -128, 260, 31, 16, -80, 34, 178, 0, -56, -24, 169, -228, 338, 56, -138, 162, 14, -128, 0, -456, -39, -2, -354, 36, 151, 130, 84, 32, -312, 0, -232, -50, 62, 68, 87, -230, 14, 20, -54, -192, 0, 704, -84, 242, -3, -8, 51, -152, -56, -86, 384, 0, 1076, 72, -504, -30, -512, -120, 34, -230, -486, 16, 0, -912, 2, 34, -550, -226, -70, -36, 138, 32, 88, 0, 1888, 32, 248, 194, 402, 10, -61, 200, 146, -136, 0, -524, 52, 178, 306, 270, 44, 188, 106, 12, 152, 0, 2044, -94, 26, -42, -33, 64, -80, 88, 122, 212, 0, -184, -204, -32, -412, 84, 116, -182, -42, 272, 162, 0, 344, -34, 506, -62, 162, 12, -36, 34, -32, 32, 0, 260, -60, -334, 225, 70, -40, -8, -84, 82, 64, 0, -700, -96, -49, 270, -450, 62, -115, -62, 252, -204, 0, -508, -54, 82, -242, -184, -40, 100, -2, 264, 494, 0, -1452, -92, -216, 188, 146, 160, -10, -176, -106, 184, 0, -28, 88, 180, -150, -52, 220, 40, -4, 62, -172, 0, -336, 58, -453, 136, 96, -152, 34, -24, 32, -276, 0, -1020, -178, -156, 20, 144, -233, -102, -309, -222, -208, 0, -1100, -100, 52, -72, -290, 154, 96, -70, 73, -280, 0, -284, -278, 68, -182, -114, -170, -86, 36, -54, 76, 0, -1124, -114, 53, 338, 24, 96, 16, -4, -516, -64, 0, -488, 20, -190, 2, 104, 31, 32, -44, 76, 12, 0, -1004, -98, 322, 370, -177, -184, -20, 110, 421, 284, 0, -28, -164, 196, -152, 8, -32, 142, -40, -156, 36, 0, -486, 132, 176, 6, 16, 30, -54, 176, 246, 268, 0, 32, 251, 16, 0, 394, 224, -10, -12, -36, 104, 0, 1108, 168, 181, 34, 404, 100, 154, 16, 398, 8, 0, 208, -40, 368, 376, 540, 12, 194, -165, 96, 114, 0, -1572, 92, 144, 214, 102, 220, -134, 224, 140, 236, 0, 2272, 394, -10, -344, 68, 161, -158, 174, -334, -648, 0, -44, 30, 112, 66, -238, -332, -174, 76, 550, 40, 0, -80, -74, -256, -7, 242, -108, 32, -91, 130, -236], 'weight': 2, '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: 48362505
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 323, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.323.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 48362506
    {'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 148, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.148.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 48362507
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 729, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.729.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 48362508
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 372, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.372.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 48362509
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519247, 'target_is_minimal': True, 'target_label': '847.2.a.i.1.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 48362510
    {'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889743, 'target_is_minimal': True, 'target_label': '847.2.a.j.1.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
  • id: 48362511
    {'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 372, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.372.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 48362512
    {'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 729, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.729.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
  • id: 48362513
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 148, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.148.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
  • id: 48362514
    {'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 323, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.323.2', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
  • id: 48362515
    {'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 252201579166309831, 'target_is_minimal': False, 'target_label': '7623.2.a.ce.1.2', 'target_level': 7623, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '33.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 48362516
    {'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029457351, 'target_is_minimal': False, 'target_label': '7623.2.a.bz.1.2', 'target_level': 7623, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '33.17', 'twisting_conrey_index': 17, 'weight': 2}
  • id: 48362517
    {'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090452265, 'target_is_minimal': False, 'target_label': '5929.2.a.y.1.2', 'target_level': 5929, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '77.6', 'twisting_conrey_index': 6, 'weight': 2}
  • id: 48362518
    {'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336178348879, 'source_is_minimal': False, 'source_label': '847.2.f.u.323.2', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953599785, 'target_is_minimal': False, 'target_label': '5929.2.a.t.1.2', 'target_level': 5929, 'twist_class_label': '847.2.a.i.1.2', 'twist_class_level': 847, 'twisting_char_label': '77.27', 'twisting_conrey_index': 27, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1404825
    {'charpoly_factorization': [[[4096, -2560, 2624, -1768, 1441, -214, 273, -44, 69, -20, 9, -2, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 2}
  • id: 1404826
    {'charpoly_factorization': [[[16, 48, 136, 376, 1036, 324, 266, 118, 59, -15, 7, -1, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 3}
  • id: 1404827
    {'charpoly_factorization': [[[256, 512, 1088, 2240, 4624, -16, 564, -32, 81, 13, 9, 1, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 5}
  • id: 1404828
    {'charpoly_factorization': [[[1, -1, 1, -1, 1], 3]], 'hecke_orbit_code': 90072336178348879, 'p': 7}
  • id: 1404829
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 90072336178348879, 'p': 11}
  • id: 1404830
    {'charpoly_factorization': [[[16777216, 524288, 2113536, 393728, 284688, -115264, 38136, -8768, 2692, -416, 62, -8, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 13}
  • id: 1404831
    {'charpoly_factorization': [[[16777216, 524288, 2113536, 393728, 284688, -115264, 38136, -8768, 2692, -416, 62, -8, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 17}
  • id: 1404832
    {'charpoly_factorization': [[[16777216, 10485760, 6553600, 3833856, 2232320, 204800, 68096, 7680, 1600, -64, 40, 0, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 19}
  • id: 1404833
    {'charpoly_factorization': [[[8, 8, -7, 1], 4]], 'hecke_orbit_code': 90072336178348879, 'p': 23}
  • id: 1404834
    {'charpoly_factorization': [[[16777216, -10485760, 6553600, -3833856, 2232320, -204800, 68096, -7680, 1600, 64, 40, 0, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 29}
  • id: 1404835
    {'charpoly_factorization': [[[11316496, -9755600, 5873544, -3071912, 1499916, -485996, 135738, -33946, 7219, -955, 119, -13, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 31}
  • id: 1404836
    {'charpoly_factorization': [[[65536, -294912, 1257472, -5349376, 22754560, -5526528, 1026992, -171688, 26825, -2481, 217, -17, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 37}
  • id: 1404837
    {'charpoly_factorization': [[[40960000, -33792000, 19686400, -9994880, 4730896, -1506816, 421880, -105824, 21764, -2064, 190, -16, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 41}
  • id: 1404838
    {'charpoly_factorization': [[[-32, -28, 4, 1], 4]], 'hecke_orbit_code': 90072336178348879, 'p': 43}
  • id: 1404839
    {'charpoly_factorization': [[[4096, -7168, 10496, -14272, 18832, -9760, 5880, -3056, 1188, 184, 30, 4, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 47}
  • id: 1404840
    {'charpoly_factorization': [[[16777216, 0, 2621440, 262144, 409600, -122880, 68096, -12800, 8720, -936, 100, -10, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 53}
  • id: 1404841
    {'charpoly_factorization': [[[16, -48, 136, -376, 1036, -324, 266, -118, 59, 15, 7, 1, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 59}
  • id: 1404842
    {'charpoly_factorization': [[[40960000, 33792000, 19686400, 9994880, 4730896, 1506816, 421880, 105824, 21764, 2064, 190, 16, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 61}
  • id: 1404843
    {'charpoly_factorization': [[[-424, -88, 3, 1], 4]], 'hecke_orbit_code': 90072336178348879, 'p': 67}
  • id: 1404844
    {'charpoly_factorization': [[[4797852160000, 674292736000, 110974425600, 14632629760, 1975788096, 100530880, 10916712, 538880, 44689, 725, 233, 5, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 71}
  • id: 1404845
    {'charpoly_factorization': [[[40960000, -33792000, 19686400, -9994880, 4730896, -1506816, 421880, -105824, 21764, -2064, 190, -16, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 73}
  • id: 1404846
    {'charpoly_factorization': [[[68719476736, -30601641984, 9869197312, -2855567360, 791666944, -117612288, 14657216, -1641344, 159056, -9696, 556, -28, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 79}
  • id: 1404847
    {'charpoly_factorization': [[[16777216, 14680064, 10747904, 7307264, 4820992, 1249280, 376320, 97792, 19008, -1472, 120, -8, 1], 1]], 'hecke_orbit_code': 90072336178348879, 'p': 83}
  • id: 1404848
    {'charpoly_factorization': [[[100, 104, 21, 1], 4]], 'hecke_orbit_code': 90072336178348879, 'p': 89}
  • id: 1404849
    {'charpoly_factorization': [[[41740124416, -2955053056, 1225006784, -66295744, 27967888, -3806992, 803484, -87656, 17337, -1583, 153, -11, 1], 1]], 'hecke_orbit_code': 90072336178348879, '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': 6, 'hecke_orbit': 21, 'label': '847.2.f.u', 'level': 847, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 64756429
    {'hecke_orbit_code': 90072336178348879, 'n': 1, 'trace_an': 12}
  • id: 64756430
    {'hecke_orbit_code': 90072336178348879, 'n': 2, 'trace_an': 2}
  • id: 64756431
    {'hecke_orbit_code': 90072336178348879, 'n': 3, 'trace_an': 1}
  • id: 64756432
    {'hecke_orbit_code': 90072336178348879, 'n': 4, 'trace_an': -8}
  • id: 64756433
    {'hecke_orbit_code': 90072336178348879, 'n': 5, 'trace_an': -1}
  • id: 64756434
    {'hecke_orbit_code': 90072336178348879, 'n': 6, 'trace_an': 12}
  • id: 64756435
    {'hecke_orbit_code': 90072336178348879, 'n': 7, 'trace_an': 3}
  • id: 64756436
    {'hecke_orbit_code': 90072336178348879, 'n': 8, 'trace_an': 6}
  • id: 64756437
    {'hecke_orbit_code': 90072336178348879, 'n': 9, 'trace_an': -4}
  • id: 64756438
    {'hecke_orbit_code': 90072336178348879, 'n': 10, 'trace_an': 16}
  • id: 64756439
    {'hecke_orbit_code': 90072336178348879, 'n': 11, 'trace_an': 0}
  • id: 64756440
    {'hecke_orbit_code': 90072336178348879, 'n': 12, 'trace_an': 8}
  • id: 64756441
    {'hecke_orbit_code': 90072336178348879, 'n': 13, 'trace_an': 8}
  • id: 64756442
    {'hecke_orbit_code': 90072336178348879, 'n': 14, 'trace_an': -2}
  • id: 64756443
    {'hecke_orbit_code': 90072336178348879, 'n': 15, 'trace_an': 5}
  • id: 64756444
    {'hecke_orbit_code': 90072336178348879, 'n': 16, 'trace_an': -10}
  • id: 64756445
    {'hecke_orbit_code': 90072336178348879, 'n': 17, 'trace_an': 8}
  • id: 64756446
    {'hecke_orbit_code': 90072336178348879, 'n': 18, 'trace_an': -18}
  • id: 64756447
    {'hecke_orbit_code': 90072336178348879, 'n': 19, 'trace_an': 0}
  • id: 64756448
    {'hecke_orbit_code': 90072336178348879, 'n': 20, 'trace_an': 14}
  • id: 64756449
    {'hecke_orbit_code': 90072336178348879, 'n': 21, 'trace_an': 4}
  • id: 64756450
    {'hecke_orbit_code': 90072336178348879, 'n': 22, 'trace_an': 0}
  • id: 64756451
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  • id: 64756452
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  • id: 64756453
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  • id: 64756454
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  • id: 64756455
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  • id: 64756456
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  • id: 64756457
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  • id: 64756458
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  • id: 64756459
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  • id: 64756460
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  • id: 64756461
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  • id: 64756462
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  • id: 64756463
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  • id: 64756464
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  • id: 64756465
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  • id: 64756466
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  • id: 64756467
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  • id: 64756468
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  • id: 64756469
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  • id: 64756470
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  • id: 64756471
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  • id: 64756472
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  • id: 64756473
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  • id: 64756474
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  • id: 64756475
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  • id: 64756476
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  • id: 64756477
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  • id: 64756478
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  • id: 64756479
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  • id: 64756480
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  • id: 64756481
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  • id: 64756482
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  • id: 64756483
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  • id: 64756484
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  • id: 64756485
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  • id: 64756486
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  • id: 64756487
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  • id: 64756488
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  • id: 64756489
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  • id: 64756490
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  • id: 64756491
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  • id: 64756492
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  • id: 64756493
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  • id: 64756494
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  • id: 64756495
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  • id: 64756496
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  • id: 64756497
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  • id: 64756498
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  • id: 64756499
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  • id: 64756500
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  • id: 64756501
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  • id: 64756502
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  • id: 64756503
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  • id: 64756504
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  • id: 64756505
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  • id: 64756506
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  • id: 64756507
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  • id: 64756508
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  • id: 64756509
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  • id: 64756510
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  • id: 64756511
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  • id: 64756512
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  • id: 64756513
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  • id: 64756514
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  • id: 64756515
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  • id: 64756516
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  • id: 64756517
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  • id: 64756518
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  • id: 64756519
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  • id: 64756520
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  • id: 64756521
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  • id: 64756522
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  • id: 64756523
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  • id: 64756524
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  • id: 64756525
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  • id: 64756526
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  • id: 64756527
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  • id: 64756528
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  • id: 64756529
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  • id: 64756530
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  • id: 64756531
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  • id: 64756532
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  • id: 64756533
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  • id: 64756534
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  • id: 64756535
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  • id: 64756536
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  • id: 64756537
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  • id: 64756538
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  • id: 64756539
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  • id: 64756540
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  • id: 64756541
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  • id: 64756542
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  • id: 64756543
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  • id: 64756544
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  • id: 64756545
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  • id: 64756546
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  • id: 64756547
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  • id: 64756548
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  • id: 64756549
    {'hecke_orbit_code': 90072336178348879, 'n': 181, 'trace_an': -11}
  • id: 64756550
    {'hecke_orbit_code': 90072336178348879, 'n': 191, 'trace_an': -41}
  • id: 64756551
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  • id: 64756552
    {'hecke_orbit_code': 90072336178348879, 'n': 197, 'trace_an': -160}
  • id: 64756553
    {'hecke_orbit_code': 90072336178348879, 'n': 199, 'trace_an': 48}
  • id: 64756554
    {'hecke_orbit_code': 90072336178348879, 'n': 211, 'trace_an': -8}
  • id: 64756555
    {'hecke_orbit_code': 90072336178348879, 'n': 223, 'trace_an': -23}
  • id: 64756556
    {'hecke_orbit_code': 90072336178348879, 'n': 227, 'trace_an': 48}
  • id: 64756557
    {'hecke_orbit_code': 90072336178348879, 'n': 229, 'trace_an': -15}
  • id: 64756558
    {'hecke_orbit_code': 90072336178348879, 'n': 233, 'trace_an': 40}
  • id: 64756559
    {'hecke_orbit_code': 90072336178348879, 'n': 239, 'trace_an': -24}
  • id: 64756560
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  • id: 64756561
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  • id: 64756562
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  • id: 64756563
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  • id: 64756564
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  • id: 64756565
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  • id: 64756566
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  • id: 64756567
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  • id: 64756568
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  • id: 64756569
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  • id: 64756570
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  • id: 64756571
    {'hecke_orbit_code': 90072336178348879, 'n': 289, 'trace_an': -9}
  • id: 64756572
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  • id: 64756573
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  • id: 64756574
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  • id: 64756575
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  • id: 64756576
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  • id: 64756577
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  • id: 64756578
    {'hecke_orbit_code': 90072336178348879, 'n': 337, 'trace_an': -24}
  • id: 64756579
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  • id: 64756580
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  • id: 64756581
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  • id: 64756582
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  • id: 64756583
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  • id: 64756584
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  • id: 64756585
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  • id: 64756586
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  • id: 64756587
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  • id: 64756588
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  • id: 64756589
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  • id: 64756590
    {'hecke_orbit_code': 90072336178348879, 'n': 397, 'trace_an': -136}
  • id: 64756591
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  • id: 64756592
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  • id: 64756593
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  • id: 64756594
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  • id: 64756595
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  • id: 64756596
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  • id: 64756597
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  • id: 64756598
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  • id: 64756599
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  • id: 64756600
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  • id: 64756601
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  • id: 64756602
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  • id: 64756603
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  • id: 64756604
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  • id: 64756605
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  • id: 64756606
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  • id: 64756607
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  • id: 64756608
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  • id: 64756609
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  • id: 64756610
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  • id: 64756611
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  • id: 64756612
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  • id: 64756613
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  • id: 64756614
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  • id: 64756615
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  • id: 64756616
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  • id: 64756617
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  • id: 64756618
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  • id: 64756619
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  • id: 64756620
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  • id: 64756621
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  • id: 64756622
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  • id: 64756623
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  • id: 64756624
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  • id: 64756625
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  • id: 64756626
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  • id: 64756627
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  • id: 64756628
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  • id: 64756629
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  • id: 64756630
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  • id: 64756631
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  • id: 64756632
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  • id: 64756633
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  • id: 64756634
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  • id: 64756635
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  • id: 64756636
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  • id: 64756637
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  • id: 64756638
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  • id: 64756639
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  • id: 64756640
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  • id: 64756641
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  • id: 64756642
    {'hecke_orbit_code': 90072336178348879, 'n': 709, 'trace_an': 41}
  • id: 64756643
    {'hecke_orbit_code': 90072336178348879, 'n': 719, 'trace_an': 69}
  • id: 64756644
    {'hecke_orbit_code': 90072336178348879, 'n': 727, 'trace_an': -308}
  • id: 64756645
    {'hecke_orbit_code': 90072336178348879, 'n': 729, 'trace_an': -7}
  • id: 64756646
    {'hecke_orbit_code': 90072336178348879, 'n': 733, 'trace_an': -40}
  • id: 64756647
    {'hecke_orbit_code': 90072336178348879, 'n': 739, 'trace_an': -16}
  • id: 64756648
    {'hecke_orbit_code': 90072336178348879, 'n': 743, 'trace_an': -16}
  • id: 64756649
    {'hecke_orbit_code': 90072336178348879, 'n': 751, 'trace_an': 23}
  • id: 64756650
    {'hecke_orbit_code': 90072336178348879, 'n': 757, 'trace_an': 26}
  • id: 64756651
    {'hecke_orbit_code': 90072336178348879, 'n': 761, 'trace_an': 8}
  • id: 64756652
    {'hecke_orbit_code': 90072336178348879, 'n': 769, 'trace_an': -224}
  • id: 64756653
    {'hecke_orbit_code': 90072336178348879, 'n': 773, 'trace_an': 22}
  • id: 64756654
    {'hecke_orbit_code': 90072336178348879, 'n': 787, 'trace_an': 56}
  • id: 64756655
    {'hecke_orbit_code': 90072336178348879, 'n': 797, 'trace_an': 95}
  • id: 64756656
    {'hecke_orbit_code': 90072336178348879, 'n': 809, 'trace_an': 80}
  • id: 64756657
    {'hecke_orbit_code': 90072336178348879, 'n': 811, 'trace_an': -64}
  • id: 64756658
    {'hecke_orbit_code': 90072336178348879, 'n': 821, 'trace_an': 0}
  • id: 64756659
    {'hecke_orbit_code': 90072336178348879, 'n': 823, 'trace_an': 57}
  • id: 64756660
    {'hecke_orbit_code': 90072336178348879, 'n': 827, 'trace_an': -36}
  • id: 64756661
    {'hecke_orbit_code': 90072336178348879, 'n': 829, 'trace_an': 47}
  • id: 64756662
    {'hecke_orbit_code': 90072336178348879, 'n': 839, 'trace_an': -11}
  • id: 64756663
    {'hecke_orbit_code': 90072336178348879, 'n': 841, 'trace_an': 7}
  • id: 64756664
    {'hecke_orbit_code': 90072336178348879, 'n': 853, 'trace_an': -24}
  • id: 64756665
    {'hecke_orbit_code': 90072336178348879, 'n': 857, 'trace_an': -352}
  • id: 64756666
    {'hecke_orbit_code': 90072336178348879, 'n': 859, 'trace_an': -124}
  • id: 64756667
    {'hecke_orbit_code': 90072336178348879, 'n': 863, 'trace_an': -4}
  • id: 64756668
    {'hecke_orbit_code': 90072336178348879, 'n': 877, 'trace_an': -8}
  • id: 64756669
    {'hecke_orbit_code': 90072336178348879, 'n': 881, 'trace_an': -12}
  • id: 64756670
    {'hecke_orbit_code': 90072336178348879, 'n': 883, 'trace_an': 16}
  • id: 64756671
    {'hecke_orbit_code': 90072336178348879, 'n': 887, 'trace_an': 8}
  • id: 64756672
    {'hecke_orbit_code': 90072336178348879, 'n': 907, 'trace_an': -8}
  • id: 64756673
    {'hecke_orbit_code': 90072336178348879, 'n': 911, 'trace_an': -84}
  • id: 64756674
    {'hecke_orbit_code': 90072336178348879, 'n': 919, 'trace_an': -120}
  • id: 64756675
    {'hecke_orbit_code': 90072336178348879, 'n': 929, 'trace_an': 94}
  • id: 64756676
    {'hecke_orbit_code': 90072336178348879, 'n': 937, 'trace_an': -40}
  • id: 64756677
    {'hecke_orbit_code': 90072336178348879, 'n': 941, 'trace_an': 56}
  • id: 64756678
    {'hecke_orbit_code': 90072336178348879, 'n': 947, 'trace_an': -156}
  • id: 64756679
    {'hecke_orbit_code': 90072336178348879, 'n': 953, 'trace_an': 88}
  • id: 64756680
    {'hecke_orbit_code': 90072336178348879, 'n': 961, 'trace_an': 24}
  • id: 64756681
    {'hecke_orbit_code': 90072336178348879, 'n': 967, 'trace_an': -112}
  • id: 64756682
    {'hecke_orbit_code': 90072336178348879, 'n': 971, 'trace_an': -3}
  • id: 64756683
    {'hecke_orbit_code': 90072336178348879, 'n': 977, 'trace_an': -25}
  • id: 64756684
    {'hecke_orbit_code': 90072336178348879, 'n': 983, 'trace_an': -11}
  • id: 64756685
    {'hecke_orbit_code': 90072336178348879, 'n': 991, 'trace_an': -112}
  • id: 64756686
    {'hecke_orbit_code': 90072336178348879, 'n': 997, 'trace_an': -48}