Embedded newform data - 162.8.c.m.55.2

Formats: - HTML - YAML - JSON - 2024-12-27T14:18:55.757615

• 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': 10368, 'analytic_conductor': 50.606374128427724, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [162, 3, [83], [2]], 'cm_discs': [], 'conrey_index': 55, 'dim': 4, 'field_disc': 974169, 'field_disc_factorization': [[3, 2], [7, 2], [47, 2]], 'field_poly': [6724, 82, 83, -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': [[5, [57247740225, 11484720, 241569, -48, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043333101617314, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2916, 'hecke_ring_index_factorization': [[2, 2], [3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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': False, 'label': '162.8.c.m', 'level': 162, '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': [2, 3], 'level_radical': 6, 'minimal_twist': '54.8.a.g', 'nf_label': '4.0.974169.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(-8+8\\beta _{1})q^{2}-2^{6}\\beta _{1}q^{4}+(24\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '162.8.c', 'trace_display': [-16, 0, 48, -880], 'trace_hash': 1724045438769475768, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.962', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.802', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1787.658', 'prec': 27}], 'trace_zratio': 0, 'traces': [4, -16, 0, -128, 48, 0, -880, 2048, 0, -768, -7230, 0, -8560, -7040, 0, -8192, 51408, 0, 74096, 3072, 0, -57840, 59628, 0, -324584, 136960, 0, 112640, 275280, 0, -245584, -65536, 0, -205632, -1001604, 0, -142120, -296384, 0, 24576, -494520, 0, -825280, 925440, 0, -954048, 927708, 0, 780204, -2596672, 0, -547840, -2764224, 0, -8021952, -450560, 0, 2202240, -1588920, 0, 3021968, 3929344, 0, 1048576, 9799080, 0, 1882160, -1645056, 0, 4006416, -6788880, 0, 1790180, 568480, 0, -2371072, -7018656, 0, 369920, -393216, 0, 7912320, 9352050, 0, -8976744, -6602240, 0, -3701760, -1825920, 0, 26720080, 3816192, 0, 7421664, -32688588, 0, -1359790, -12483264, 0, 41546752, 4360560, 0, -23520160, -4382720, 0, 11056896, 21306060, 0, -5524840, 32087808, 0, -3604480, -22606008, 0, -11024712, -35235840, 0, 25422720, -1716120, 0, -17861756, 24175744, 0, -15717376, -54129504, 0, -164987200, -4194304, 0, 78392640, -1049190, 0, 17276620, -30114560, 0, 26320896, -9486192, 0, 33654608, 32051328, 0, 27155520, 215387040, 0, -207440280, -7160720, 0, 4547840, 75609120, 0, -32998048, 37937152, 0, 112298496, -130815354, 0, -19415080, 2959360, 0, 1572864, -71659920, 0, -153346960, -31649280, 0, 74816400, 51596148, 0, -103012566, 143627904, 0, 105635840, 24839376, 0, -165841696, -29614080, 0, 7303680, -68329260, 0, -63431488, -106880320, 0, 30529536, 414658536, 0, -16170840, -118746624, 0, 523017408, -149754720, 0, -201529450, -10878320, 0, 49933056, -442707840, 0, 363390272, -166187008, 0, 34884480, 10796340, 0, 18584028, 376322560, 0, 70123520, 134693400, 0, -157258792, 88455168, 0, -85224240, 265464312, 0, -57304820, 22099360, 0, 256702464, 81859680, 0, 273512720, 57671680, 0, 361696128, -264662184, 0, -11483164, -88197696, 0, 140943360, 327655872, 0, -761335776, -101690880, 0, -13728960, -172953420, 0, 362427428, 285788096, 0, -386811904, 403395264, 0, 512989360, -125739008, 0, 216518016, 671811840, 0, -584608680, 659948800, 0, -33554432, -42146808, 0, -385097576, -1254282240, 0, 16787040, -206280372, 0, 84351402, 138212960, 0, 120458240, -1537110720, 0, 198982880, -105283584, 0, -75889536, -1357569048, 0, -362479840, -538473728, 0, -512821248, 674855880, 0, 97296920, 217244160, 0, -861548160, 448608696, 0, -596913476, 829761120, 0, -57285760, -961601856, 0, -449222832, -72765440, 0, -1209745920, 447080640, 0, -210584324, -263984384, 0, -151748608, -85192896, 0, 2256874640, -449193984, 0, -1046522832, -1169705220, 0, -516646330, 310641280, 0, -47349760, 22286832, 0, 112522320, 12582912, 0, 286639680, 2295391392, 0, 3699428480, 613387840, 0, -253194240, 5258640, 0, -434179600, -1197062400, 0, -825538368, 838402404, 0, -1013688100, -824100528, 0, -574511616, -411777600, 0, -1291774880, -422543360, 0, 198715008, 1267946238, 0, 2785599452, 2653467136, 0, 473825280, -902384184, 0, 2729469960, 58429440, 0, 273317040, -4705733160, 0, 2497950948, 253725952, 0, -855042560, 2335468128, 0, -603454480, -488472576, 0, -6634536576, 490607190, 0, 1940289560, -129366720, 0, 474986496, 2056677600, 0, 2072041856, -2092069632, 0, -1198037760, 1695170856, 0, 3590978814, 3224471200, 0, 174053120, 1126013280, 0, 574466256, 399464448, 0, 1770831360, -3167332320, 0, 178612640, -1453561088, 0, -1329496064, -1062294720, 0, 1683087880, -558151680, 0, -172741440, -3074029908, 0, 299096738, 148672224, 0, -1505290240, 423535776, 0, 3557237760, -280494080, 0, 1077547200, 3523503000, 0, -3135542272, 2516140672, 0, -1415282688, -3711058848, 0, 1214542240, -681793920, 0, -1061857248, 5296842360, 0, -3804597100, 229219280, 0, 176794880, 432994272, 0, -3147026992, -4107239424, 0, -1309754880, 219446952, 0, -4489669188, 2188101760, 0, -230686720, 3354254640, 0, 3682828368, -1446784512, 0, -2117297472, 6594881520, 0, -2841545950, 183730624, 0, 1411163136, -3770447520, 0, 4269070160, 1127546880, 0, 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0, -1794434784, -20275284192, 0, -1282593160, 2387653904, 0, 6638088960, 5669071680, 0, 4056158160, 916572160, 0, 15385629696, 2466119202, 0, -14118853916, -3593782656, 0, 291061760, 9735077952, 0, -3969716688, 4838983680, 0, 3576645120, -6519542820, 0, -1443272614, 3369349184, 0, 4223750144, 28173489024, 0, -779548960, -1213988864, 0, 340771584, 8176134720, 0, -9420625000, -9027498560, 0, -3593551872, 5389352472, 0, -11703891976, 16744365312, 0, 18715283520, 4869460548, 0, -16217417606, -4133170640, 0, -1242565120, -18481085280, 0, 8718619040, 189399040, 0, 178294656, -3941266098, 0, -5103130080, -1800357120, 0, -201326592, -8420268360, 0, 8480300480, 2293117440, 0, -9181565568, 10305229536, 0, 3690181008, -14797713920, 0, 4907102720, -518905680, 0, -20301823872, 4051107840, 0, -84138240, -4659218130, 0, -15557883796, -3473436800, 0, 4788249600, 12606430224, 0, 12001321440, 3302153472, 0, 6707219232, 10003424880, 0, 20428182470, 16219009600, 0, 13185608448, 6166090896, 0, 6489473632, 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5239019520, 0, 1755575616, 19913103696, 0, 38258603698, 71834707008, 0, -35009628160, 45390164592, 0, 63284751360, -1845493760, 0, -13417018560, -130490673720, 0, -40226690448, -14731313472, 0, -11574276096, -60318494976, 0, -64973678920, 33876759552, 0, -105518104320, 11039020620, 0, 46241018190, -22732367600, 0, -734922496, -39730721664, 0, -49784910976, -5644652544, 0, -30163580160, -41690527200, 0, -8453001328, -68305122560, 0, -18040750080, 27392187120, 0, 44000910096, -10484987904, 0, 40322076048, -30052152144, 0, -10363417300, -443390752, 0, 24362744832, -13620725520, 0, 14877930240, 13016432640, 0, 28209219072, -2584574562, 0, -50110704560, -35206899968, 0, -878653440, 40667073696, 0, -162586007280, -11069018880, 0, 12133855200, -26675807100, 0, -14092692756, 128370283520, 0, -46390710784, 37877202960, 0, 40892493680, -9145219072, 0, -56441170176, 68646139740, 0, -104926129040, -11572436480, 0, 12377980928, -39162959808, 0, 39042415584, -51634593792, 0, 73646201760, 68201054556, 0, -17705078550, 45955486080, 0, 32831319040, -43108240800, 0, 162698854688, -8047296512, 0, -10539063360, 39634099134, 0, 8139162080, 6665747200, 0, -27714306048], 'weight': 8, '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], [-0.3535533905932738, 0.6123724356957945], [0.0, 0.0], [-0.25, -0.4330127018922193], [0.9189982561250802, 1.591751671675835], [0.0, 0.0], [-0.5122551637534813, 0.8872519700605448], [0.3535533905932738, 0.0], [0.0, 0.0], [-1.2996597976093118, 0.0], [-0.8532119940858984, 1.4778065233839326], [0.0, 0.0], [-0.888398496242246, -1.5387513328593583], [-0.36221909998791196, -0.6273818846509348], [0.0, 0.0], [-0.125, 0.21650635094610965], [0.15092632760785415, 0.0], [0.0, 0.0], [-0.5270472782150674, 0.0], [0.4594991280625401, -0.7958758358379175], [0.0, 0.0], [-0.6033119868078353, -1.044967013966495], [0.33940114874056804, 0.5878600337659056], [0.0, 0.0], [-1.1891155895218772, 2.059608617124109], [1.2563852021776474, 0.0], [0.0, 0.0], [0.5122551637534813, 0.0], [0.09517676828873077, -0.16485099837629202], [0.0, 0.0], [0.050590017176573326, 0.08762448010560721], [-0.08838834764831845, -0.15309310892394862], [0.0, 0.0], [-0.05336051485554806, 0.09242312284784308], 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[-0.47398722347474515, 0.8209699531967622], [-0.5248945159315763, 0.0], [0.0, 0.0], [-1.7884063329393527, 0.0], [0.4034494685539277, -0.6987949778220648], [0.0, 0.0], [0.09825308246951465, 0.17017933083745437], [-0.42176875548525755, -0.7305249135455607], [0.0, 0.0], [0.6437422410908995, -1.1149942685476915], [-0.04560199033024702, 0.0], [0.0, 0.0], [1.1285560453542591, 0.0], [0.5135026562806548, -0.8894126904996719], [0.0, 0.0], [-1.0562071253343706, -1.829404404395399], [0.010157362716347746, 0.01759306829562012], [0.0, 0.0], [0.23411400470741722, -0.40549735091666594], [-0.33448349009259226, 0.0], [0.0, 0.0], [1.6446606441430092, 0.0], [0.00894313605147473, -0.015489966020155146], [0.0, 0.0], [-0.14084078882184428, -0.2439434020175131], [1.0487079984114813, 1.816415535552547], [0.0, 0.0], [0.004953220624020538, -0.008579229781901591], [0.9577244448220442, 0.0], [0.0, 0.0], [-0.8956158276074244, 0.0]], 'angles': [None, None, 0.10216686226141679, 0.1689282282184445, 0.24600767057788564, -0.40924253486160833, -0.2379782359603761, -0.29244234898813565, -0.02822113048778856, -0.40149585002717403, -0.07527824356825998, -0.14108070472324288, -0.12981378448181063, -0.4562868494718006, -0.4107984348792639, -0.2924298180763252, -0.09833172177168142, -0.3523831508403221, -0.08207309676500069, -0.21885977248548263, -0.1805380113247507, -0.44295264654061517, -0.3140268373208778, -0.3115644997867347, -0.35725227031010115, -0.45763513803724626, -0.47144296474836567, -0.1532516666195876, -0.3998531628831655, -0.4496952507813512, -0.4431033403225405, -0.019037796232599782, -0.49282366601401767, 0.08551909786916992, -0.07238864998382946, -0.3606777082619736, -0.026480986760204547, -0.3897284831619196, -0.017018722129244313, -0.35766079912339926, -0.19897174973186887, -0.32977038036605166, 0.23109352554822626, -0.46576287752906065, -0.34743116030160004, -0.15336091239153943, -0.10732474057916024, -0.3464841818925524, 0.18390621085600392, -0.007652294510782804, -0.12973095704035162, -0.10281018251435285, -0.36671258593669565, -0.24898914842150208, 0.057092613364172824, -0.43646733631378665, -0.35881520009962375, -0.2684783193269373, -0.45719054639162243, -0.2717311495608117, -0.022390580188359235, -0.1502439465389933, -0.19253314113230213, -0.1284893663605109, -0.49824043396315776, -0.37723438213232774, -0.4209868299464218, -0.06643459468463846, -0.07105937870574537, -0.24287699970489202, 0.2350108336190553, -0.37118751406712, 0.21016161970703107, -0.03412473130467969, -0.25208153074097744, 0.08347151717735549, -0.36572679455439516, -0.25453983669441504, -0.4962489981900872, -0.041821051602643176, -0.03368551723584075, 0.24061247967009886, -0.09703119651976895, -0.3299796882459388, -0.4923975318775739, -0.3085063784861179, -0.25918462441144885, 0.17190190030050034, 0.17311844337549712, 0.08868443775918017, -0.28673165301951087, -0.4529043109621839, -0.3466376231590393, -0.4362765155263074, -0.4649270165559775, -0.16378688229216057, -0.11541821738072135, -0.34530257488731664, -0.3664947875422331, -0.25080516469382536, 0.20565738090562793, -0.3845594093566286, -0.06627323060886199, 0.2037232997268806, -0.06241552591789738, -0.1988104508628344, -0.37545441354163556, -0.13031950399274175, -0.04422169799925262, -0.4337354025122402, -0.46843720962819446, -0.35363030488591635, -0.06414878826904263, 0.24932636670773944, -0.27066941315669646, -0.41862534610485447, -0.11286926880280683, -0.22399245767985965, 0.04217294063525081, -0.43218641338735486, -0.14306149603390117, -0.3358015000363964, -0.3493605403234707, -0.38604223804982896, 0.22869100782053461, -0.1511202557593316, -0.29766486900431394, -0.3280230841856642, -0.3970407466741331, -0.48133275742270965, -0.20696547637455726, -0.016737389732959743, -0.42297995050856546, -0.18781325112147604, -0.052625425063465896, -0.08135172311830868, -0.4098101323574811, -0.09105379634164894, 0.043119988536158, -0.1410548577143565, -0.15981540628552018, -0.33425230056360267, 0.013168772710556524, -0.18500641110970692, -0.18775913292106353, -0.3839406869527774, -0.269385696203563, -0.3311261828605429, -0.46189774471468004, -0.1444973331634681, -0.044024010852501974, -0.145392015397659, -0.1571437541851021, 0.07219221130607774, 0.19589143861268718, -0.3681794766296856, -0.33004602723045057, -0.38101875554248005, -0.31660318182156433, -0.4839965352784852, 0.18180967988051427, -0.3062106528348273, 0.11815318684733507, -0.2922647873942744, -0.15262863020682918, -0.3308404920296703, -0.09633679750614361, -0.41587833389656215], 'char_orbit_index': 3, 'conrey_index': 55, 'dual_conrey_index': 109, 'dual_embedding_index': 2, 'dual_embedding_m': 4, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 8.287151738094723, 'embedding_root_real': 4.784589286804263, 'hecke_orbit': 13, 'hecke_orbit_code': 54043333101617314, 'label': '162.8.c.m.55.2', 'level': 162, 'weight': 8}
• mf_newspaces •

  Column	Type
  ALdims	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': 10368, 'analytic_conductor': 50.606374128427724, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [162, 3, [83], [2]], 'conrey_index': 55, 'cusp_dim': 354, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137573171362, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 8, 8], 'label': '162.8.c', 'level': 162, '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': [2, 3], 'level_radical': 6, 'mf_dim': 402, 'mf_new_dim': 56, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 216, 'trace_bound': 5, 'trace_display': [0, 0, 0, -830], 'traces': [56, 0, 0, -1792, 0, 0, -830, 0, 0, 0, 0, 0, -18470, 0, 0, -114688, 0, 0, 227608, 0, 0, -70512, 0, 0, -293512, 0, 0, 106240, 0, 0, -128498, 0, 0, 177456, 0, 0, 482788, 0, 0, 0, 0, 0, 840772, 0, 0, -1204032, 0, 0, -2481558, 0, 0, -1182080, 0, 0, 488124, 0, 0, 1730640, 0, 0, -2167046, 0, 0, 14680064, 0, 0, 7691980, 0, 0, 9850320, 0, 0, -1526792, 0, 0, -7283456, 0, 0, 34746808, 0, 0, 967680, 0, 0, -5422374, 0, 0, -4512768, 0, 0, 56885120, 0, 0, 11585184, 0, 0, 45244606, 0, 0, 37569536, 0, 0, -23278712, 0, 0, 7503504, 0, 0, 26607676, 0, 0, -3399680, 0, 0, -94928940, 0, 0, 145182336, 0, 0, -59206642, 0, 0, -8223872, 0, 0, -215837564, 0, 0, 19104912, 0, 0, 113173256, 0, 0, -22714368, 0, 0, 105312880, 0, 0, -53608128, 0, 0, -388228284, 0, 0, -15449216, 0, 0, -9855386, 0, 0, 207455712, 0, 0, 244830118, 0, 0, 0, 0, 0, -213413264, 0, 0, 105722448, 0, 0, -386752950, 0, 0, -107618816, 0, 0, -640134368, 0, 0, -187880496, 0, 0, -75916304, 0, 0, 38529024, 0, 0, 25151040, 0, 0, 870141888, 0, 0, -60440972, 0, 0, -158819712, 0, 0, -1215871868, 0, 0, -281136816, 0, 0, -220604184, 0, 0, 151306240, 0, 0, 918566044, 0, 0, 348844560, 0, 0, 479721188, 0, 0, -15619968, 0, 0, 341321104, 0, 0, 70202208, 0, 0, -608214686, 0, 0, 110760960, 0, 0, -1088388360, 0, 0, 1197177792, 0, 0, 1615743574, 0, 0, 277381888, 0, 0, 288100496, 0, 0, -514833408, 0, 0, -1013732424, 0, 0, -469762048, 0, 0, -502921108, 0, 0, -1135996704, 0, 0, 415587474, 0, 0, 492286720, 0, 0, 6791643436, 0, 0, -1047519600, 0, 0, -2280937652, 0, 0, -1260840960, 0, 0, -1665271220, 0, 0, -300569664, 0, 0, -3339981052, 0, 0, 48857344, 0, 0, 2734584984, 0, 0, 5015619456, 0, 0, -1404473740, 0, 0, -466141184, 0, 0, -1282020368, 0, 0, -876581136, 0, 0, -302151044, 0, 0, -4447591424, 0, 0, 5391458532, 0, 0, 3055979424, 0, 0, 16314632584, 0, 0, -30965760, 0, 0, -4420427540, 0, 0, -1816126656, 0, 0, -3698981540, 0, 0, -347031936, 0, 0, -9395942620, 0, 0, 3519288384, 0, 0, 9337897420, 0, 0, 577634304, 0, 0, -3116090376, 0, 0, -868522512, 0, 0, -5187969072, 0, 0, -1820323840, 0, 0, -3045064490, 0, 0, -9716564448, 0, 0, 7483632928, 0, 0, 741451776, 0, 0, 23890588192, 0, 0, -1638731520, 0, 0, -8619285078, 0, 0, -5791309568, 0, 0, -2548289376, 0, 0, -1198933728, 0, 0, -12017732540, 0, 0, -1202225152, 0, 0, 10234267856, 0, 0, 3848115264, 0, 0, 1888022152, 0, 0, -1489837568, 0, 0, -12075049620, 0, 0, 636369504, 0, 0, -3344134214, 0, 0, -960448512, 0, 0, 13658160296, 0, 0, 1496149920, 0, 0, 5263374640, 0, 0, -851445632, 0, 0, -9797649218, 0, 0, -10409500704, 0, 0, -25605558450, 0, 0, -217579520, 0, 0, -4345616664, 0, 0, 5732428416, 0, 0, 2383825348, 0, 0, 12150904320, 0, 0, 4923423970, 0, 0, 765751056, 0, 0, -7334183392, 0, 0, -4645834752, 0, 0, -12965244080, 0, 0, -1142309184, 0, 0, 10345580774, 0, 0, -3789225088, 0, 0, 3245898400, 0, 0, -184478832, 0, 0, -14145803118, 0, 0, 1052655616, 0, 0, -10799028140, 0, 0, -3679130496, 0, 0, 34365852972, 0, 0, 6906802048, 0, 0, 11969682242, 0, 0, 16137768864, 0, 0, -351008388, 0, 0, 1222714368, 0, 0, -48243714944, 0, 0, -13445082144, 0, 0, 16756425356, 0, 0, -14486176768, 0, 0, 3229426818, 0, 0, 5000314128, 0, 0, 7003674604, 0, 0, 726859776, 0, 0, 9553740472, 0, 0, 35005102464, 0, 0, 3933389204, 0, 0, 6740024320, 0, 0, -24474829504, 0, 0, 17083693488, 0, 0, 41067750654, 0, 0, 6861840384, 0, 0, 25386246712, 0, 0, -4351247136, 0, 0, 24551928724, 0, 0, 12423305088, 0, 0, 27379265382, 0, 0, 6897504480, 0, 0, -41616900652, 0, 0, -988749824, 0, 0, -24212418192, 0, 0, -27370409856, 0, 0, -12495120524, 0, 0, 1261489408, 0, 0, 4044435472, 0, 0, -6151770288, 0, 0, 12407213128, 0, 0, -6638582784, 0, 0, -26068235048, 0, 0, 45427340736, 0, 0, -6703910116, 0, 0, 15669127552, 0, 0, 97022310796, 0, 0, 24841841760, 0, 0, -28387453530, 0, 0, 0, 0, 0, 4192368448, 0, 0, -18356490048, 0, 0, -129699815472, 0, 0, 6829224448, 0, 0, -34881147054, 0, 0, 17618776896, 0, 0, -1690263338, 0, 0, 6766236672, 0, 0, 64738408752, 0, 0, -13493377440, 0, 0, -19042502252, 0, 0, 49504377600, 0, 0, 2595097718, 0, 0, 31736117040, 0, 0, -81597339180, 0, 0, 3443802112, 0, 0, 13404000592, 0, 0, -93933375072, 0, 0, -85619259108, 0, 0, -40968599552, 0, 0, -102463305904, 0, 0, -35986825536, 0, 0, 69735452026, 0, 0, 24048703488, 0, 0, 122585453496, 0, 0, -11169814752, 0, 0, 53593521176, 0, 0, 2429321728, 0, 0, -19459929734, 0, 0, -113815406016, 0, 0, 62930881408, 0, 0, 2465857536, 0, 0, 29773073776, 0, 0, 65106813360, 0, 0, 37724152500, 0, 0, -3219333120, 0, 0, -72833042546, 0, 0, -80134003056, 0, 0, -68279863640, 0, 0, -27844540416, 0, 0, 4214757596, 0, 0, 1916966016, 0, 0, -28714823012, 0, 0, -3868222208, 0, 0, 99250313584, 0, 0, -7597554192, 0, 0, -166751904960, 0, 0, 20328923136, 0, 0, 51980780704, 0, 0, 168946130304, 0, 0, 116880981908, 0, 0, 38907899776, 0, 0, -50106772872, 0, 0, -88197741792, 0, 0, -34825633596, 0, 0, -17992756224, 0, 0, -330481020344, 0, 0, -78575525472, 0, 0, 24309683288, 0, 0, 28237335552, 0, 0, 28365434782, 0, 0, -17756183616, 0, 0, 485361388456, 0, 0, -4841799680, 0, 0, 1247046300, 0, 0, -57811721856, 0, 0, -33897341482, 0, 0, 58788226816, 0, 0, -61568703512, 0, 0, 48674751168, 0, 0, 75431088460, 0, 0, -44652103680, 0, 0, -152971628840, 0, 0, -144099938976, 0, 0, -100065157704, 0, 0, -15351078016, 0, 0, 121315896512, 0, 0, 102607953024, 0, 0, 114243089518, 0, 0, -999677952, 0, 0, 263453485336, 0, 0, 38239522944, 0, 0, 74042831174, 0, 0, -43689101312, 0, 0, 292815366462, 0, 0, 100270753344, 0, 0, 66289136472, 0, 0, -2246470656, 0, 0, 10361707420, 0, 0, -274209172992, 0, 0, -145473156054, 0, 0, -38925739904, 0, 0, -218728130828, 0, 0, -194214185232, 0, 0, -101161745948, 0, 0, -14177402880, 0, 0, -110802957024, 0, 0, 79694752272, 0, 0, 186841304992, 0, 0, 34828427520, 0, 0, -17719807176, 0, 0, 376973923776, 0, 0, 7030192334, 0, 0, 76619378688, 0, 0, 180221865120, 0, 0, 104573452704, 0, 0, -28237387026, 0, 0, -206815177472, 0, 0, -75916755806, 0, 0, -174619305648, 0, 0, -550434655192, 0, 0, -8876220416, 0, 0, -210137979132, 0, 0, 68432634528, 0, 0, 18734502672, 0, 0, 18438431744, 0, 0, 579356962204, 0, 0, 106533669120, 0, 0, 153451444150, 0, 0, 65898676224], 'weight': 8, '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: 47566571
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043333101617314, 'target_is_minimal': False, 'target_label': '162.8.c.m.55.2', 'target_level': 162, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
  • id: 47566572
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554131983728802, 'target_is_minimal': False, 'target_label': '162.8.c.p.55.1', 'target_level': 162, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
  • id: 47566573
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597898440758, 'target_is_minimal': True, 'target_label': '54.8.a.g.1.2', 'target_level': 54, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
  • id: 47566574
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043333101617314, 'target_is_minimal': False, 'target_label': '162.8.c.m.109.2', 'target_level': 162, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
  • id: 47566575
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554131983728802, 'target_is_minimal': False, 'target_label': '162.8.c.p.109.1', 'target_level': 162, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
  • id: 47566576
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197525811254, 'target_is_minimal': True, 'target_label': '54.8.a.h.1.1', 'target_level': 54, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
  • id: 47566577
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996407923120, 'target_is_minimal': False, 'target_label': '432.8.a.k.1.1', 'target_level': 432, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 8}
  • id: 47566578
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043333101617314, 'source_is_minimal': False, 'source_label': '162.8.c.m.55.2', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994544775600, 'target_is_minimal': False, 'target_label': '432.8.a.p.1.2', 'target_level': 432, 'twist_class_label': '54.8.a.g.1.2', 'twist_class_level': 54, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 8}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 425725
    {'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 2}
  • id: 425726
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043333101617314, 'p': 3}
  • id: 425727
    {'charpoly_factorization': [[[57247740225, 11484720, 241569, -48, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 5}
  • id: 425728
    {'charpoly_factorization': [[[2138230081, -40692080, 820641, 880, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 7}
  • id: 425729
    {'charpoly_factorization': [[[5205693996801, -16495960770, 54554499, 7230, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 11}
  • id: 425730
    {'charpoly_factorization': [[[6024553924000000, -664410080000, 150891600, 8560, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 13}
  • id: 425731
    {'charpoly_factorization': [[[69237504, -25704, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 17}
  • id: 425732
    {'charpoly_factorization': [[[-832082324, -37048, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 19}
  • id: 425733
    {'charpoly_factorization': [[[628750982675734416, -47281318751088, 2762560188, -59628, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 23}
  • id: 425734
    {'charpoly_factorization': [[[39152310312452490000, -1722476703096000, 69521897700, -275280, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 29}
  • id: 425735
    {'charpoly_factorization': [[[19388257960649621521, -1081357915062224, 64714711017, 245584, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 31}
  • id: 425736
    {'charpoly_factorization': [[[-179439584684, 71060, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 37}
  • id: 425737
    {'charpoly_factorization': [[[3732049039234285527696, 30210473448773280, 183459531636, 494520, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 41}
  • id: 425738
    {'charpoly_factorization': [[[21321282115459175715856, 120505807925428480, 535068990084, 825280, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 43}
  • id: 425739
    {'charpoly_factorization': [[[2109447662180660848656, -42608444421122928, 814713409548, -927708, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 47}
  • id: 425740
    {'charpoly_factorization': [[[463161939111, 1382112, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 53}
  • id: 425741
    {'charpoly_factorization': [[[147140812682006743132416, 609492838152631680, 2141077386096, 1588920, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 59}
  • id: 425742
    {'charpoly_factorization': [[[5149530993069199877902336, -6857624475464619008, 6863032786368, -3021968, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 61}
  • id: 425743
    {'charpoly_factorization': [[[5163814712892266280976, -135251429756260160, 3470666577924, -1882160, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 67}
  • id: 425744
    {'charpoly_factorization': [[[-5355488275200, 3394440, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 71}
  • id: 425745
    {'charpoly_factorization': [[[-5381037627791, -895090, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 73}
  • id: 425746
    {'charpoly_factorization': [[[6809037440387052874240000, 965274144557056000, 2746254043200, -369920, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 79}
  • id: 425747
    {'charpoly_factorization': [[[374324011843704669306950625, -180938365775467751250, 68113384283475, -9352050, 1], 1]], 'hecke_orbit_code': 54043333101617314, 'p': 83}
  • id: 425748
    {'charpoly_factorization': [[[-20597975704836, 912960, 1], 2]], 'hecke_orbit_code': 54043333101617314, 'p': 89}
  • id: 425749
    {'charpoly_factorization': [[[2693845686272176781091442081, -70576188445336251890, 53751299375091, 1359790, 1], 1]], 'hecke_orbit_code': 54043333101617314, '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': 3, 'hecke_orbit': 13, 'label': '162.8.c.m', 'level': 162, 'portrait': 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', 'weight': 8}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 58116283
    {'hecke_orbit_code': 54043333101617314, 'n': 1, 'trace_an': 4}
  • id: 58116284
    {'hecke_orbit_code': 54043333101617314, 'n': 2, 'trace_an': -16}
  • id: 58116285
    {'hecke_orbit_code': 54043333101617314, 'n': 3, 'trace_an': 0}
  • id: 58116286
    {'hecke_orbit_code': 54043333101617314, 'n': 4, 'trace_an': -128}
  • id: 58116287
    {'hecke_orbit_code': 54043333101617314, 'n': 5, 'trace_an': 48}
  • id: 58116288
    {'hecke_orbit_code': 54043333101617314, 'n': 6, 'trace_an': 0}
  • id: 58116289
    {'hecke_orbit_code': 54043333101617314, 'n': 7, 'trace_an': -880}
  • id: 58116290
    {'hecke_orbit_code': 54043333101617314, 'n': 8, 'trace_an': 2048}
  • id: 58116291
    {'hecke_orbit_code': 54043333101617314, 'n': 9, 'trace_an': 0}
  • id: 58116292
    {'hecke_orbit_code': 54043333101617314, 'n': 10, 'trace_an': -768}
  • id: 58116293
    {'hecke_orbit_code': 54043333101617314, 'n': 11, 'trace_an': -7230}
  • id: 58116294
    {'hecke_orbit_code': 54043333101617314, 'n': 12, 'trace_an': 0}
  • id: 58116295
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