Embedded newform data - 20.9.d.c.19.4

Formats: - HTML - YAML - JSON - 2025-09-20T03:37:03.252231

• 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': 1620, 'analytic_conductor': 8.147572201222545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [20, 2, [11, 17], [1, 1]], 'cm_discs': [], 'conrey_index': 19, 'dim': 20, 'field_disc': 73066074373511641702198259631906042613246838566164713768493086263099899674194083840000000000, 'field_disc_factorization': [[2, 40], [3, 10], [5, 10], [7, 8], [293, 4], [313, 4], [10657, 2], [223344529, 4]], 'field_poly': [1152921504606846976, 0, 26458647810801664, 0, 367168164200448, 0, 2898633162752, 0, 147994443776, 0, 3044563968, 0, 36131456, 0, 172772, 0, 5343, 0, 94, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2132400444991488000, 0, 3119247097344000, 0, -1615110935040, 0, 357004800, 0, -33444, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405564166164, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 373546567492618420224000000000000, 'hecke_ring_index_factorization': [[2, 74], [3, 4], [5, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 20, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '20.9.d.c', 'level': 20, '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, 5], 'level_radical': 10, 'minimal_twist': '20.9.d.c', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{6})q^{3}+(-38+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 20, 'rm_discs': [], 'sato_tate_group': '8.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '20.9.d', 'trace_display': [0, 0, -1420, 0], 'trace_hash': 691673041476537927, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.178', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.600', 'prec': 20}, {'__RealLiteral__': 0, 'data': '42.237', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2095.299', 'prec': 27}, {'__RealLiteral__': 0, 'data': '9700.162', 'prec': 27}, {'__RealLiteral__': 0, 'data': '422115.823', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.759', 'prec': 17}, 'traces': [20, 0, 0, -752, -1420, 3408, 0, 0, 2556, -4160, 0, 0, 0, 8848, 0, -59200, 0, 0, 0, -4240, 410256, 0, 0, -156672, -657260, -440448, 0, 0, 660136, 667920, 0, 0, 0, 4342528, 0, -7191312, 0, 0, 0, -945280, 7068520, 0, 0, 2666880, -18729060, 561168, 0, 0, 11719036, 3914880, 0, 0, 0, 37110816, 0, -35044352, 0, 0, 0, -22734720, -17660440, 0, 0, 20201728, -44202240, 31902720, 0, 0, 111747216, -47166000, 0, 0, 0, 19114368, 0, -54998400, 0, 0, 0, 7968320, -154212444, 0, 0, 101289216, 68800000, 94429648, 0, 0, 105006376, -230808000, 0, 0, 0, -192757872, 0, 28850688, 0, 0, 0, 177055760, -12332120, 0, 0, 136796928, 54675600, 477679232, 0, 0, -233331224, -313159680, 0, 0, 0, -718141440, 0, -854874080, 0, 0, 0, 1341911040, 287587220, 0, 0, 764966400, 357350900, 1148514864, 0, 0, -1452138864, -783369600, 0, 0, 0, -1046430512, 0, -2584150528, 0, 0, 0, 1676976000, 1770550416, 0, 0, -205573824, -244661400, 4378701312, 0, 0, -126007064, -1592833200, 0, 0, 0, -1654356480, 0, -6868197120, 0, 0, 0, 4342389760, -444794224, 0, 0, 3307434976, 657592320, 8031718608, 0, 0, -915494764, -6938983680, 0, 0, 0, -2480871264, 0, -10925283840, 0, 0, 0, 5801938320, -956739160, 0, 0, 3303902208, -1283508480, 18624291840, 0, 0, 7161491232, -10144143360, 0, 0, 0, -6755135232, 0, -19517988112, 0, 0, 0, 12199461120, -10690218864, 0, 0, 14716853760, 1476644520, 19980360208, 0, 0, 1854044160, -21288422400, 0, 0, 0, -7596603312, 0, -28158879744, 0, 0, 0, 18582295680, 6966303744, 0, 0, 17359379968, -7935787140, 40869217792, 0, 0, 2839102376, -26199992240, 0, 0, 0, -25299476352, 0, -44062961280, 0, 0, 0, 36216291840, -526050200, 0, 0, 24548345056, 2124776220, 40304426016, 0, 0, 882696336, -37889502400, 0, 0, 0, -23199045872, 0, -68217011200, 0, 0, 0, 43814350080, 11790656376, 0, 0, 22655600640, -581989120, 73117847040, 0, 0, -17908981784, -27489126240, 0, 0, 0, -24930157312, 0, -75317593344, 0, 0, 0, 48799564800, 12751398760, 0, 0, 16434059520, 6031933440, 77598197760, 0, 0, -19889421804, -58618258560, 0, 0, 0, -41935038096, 0, -83929982208, 0, 0, 0, 70298592000, 2512937616, 0, 0, 29276490240, 8291162920, 123554164992, 0, 0, -7409015664, -40648611840, 0, 0, 0, -42431436672, 0, -102438451200, 0, 0, 0, 32036391680, -31558714224, 0, 0, -4634029296, 38065635840, 102004510288, 0, 0, 6631957136, -55797941760, 0, 0, 0, 789308688, 0, -74045981184, 0, 0, 0, 33062888960, 2590371840, 0, 0, 54609415168, -25350249840, 87761498752, 0, 0, -25317058904, -54041145200, 0, 0, 0, -45938780160, 0, -22688899040, 0, 0, 0, 34699175040, -29067749740, 0, 0, 7464656640, 3133916160, -18069725664, 0, 0, 183550412472, -19680762240, 0, 0, 0, -10232678400, 0, -53139489792, 0, 0, 0, 1535602560, -44972963184, 0, 0, 57026101248, -32532326400, -54438075648, 0, 0, -140191904024, -553082880, 0, 0, 0, 72474078848, 0, 73804636800, 0, 0, 0, -76121879360, 118339338280, 0, 0, 30737629216, -47629571580, -91739253984, 0, 0, 134612970856, 30422313600, 0, 0, 0, 30343902384, 0, 191501371392, 0, 0, 0, -42539481600, 2254499560, 0, 0, -65964238592, -159839677440, -319218785280, 0, 0, -84711321600, 168921901200, 0, 0, 0, 110528732160, 0, 184745335520, 0, 0, 0, -174624322560, -84283073868, 0, 0, -107983215360, 153167537640, -320479292912, 0, 0, 129020913256, 316895310720, 0, 0, 0, 169145924688, 0, 395315189760, 0, 0, 0, -286221778560, 169559084200, 0, 0, -197412066944, -14762864640, -418363422208, 0, 0, -368980758384, 166407785680, 0, 0, 0, 101808522240, 0, 610111541760, 0, 0, 0, -281226508800, -129472989696, 0, 0, -333271519472, 173683315200, -342478023696, 0, 0, 335839514256, 488452650560, 0, 0, 0, 179166996480, 0, 473937500160, 0, 0, 0, -504112378000, -30940243824, 0, 0, -503393995776, -30489549720, -619698347520, 0, 0, -519788912984, 527659284480, 0, 0, 0, 440376363008, 0, 753793414656, 0, 0, 0, -438051152640, -67696531160, 0, 0, -323284471680, 470993350800, -691481876592, 0, 0, 475484551036, 433762285440, 0, 0, 0, 80168623776, 0, 1145206033408, 0, 0, 0, -549713122560, 266253589160, 0, 0, -404735639552, -488847816920, -1097867258880, 0, 0, -707129705928, 473443891200, 0, 0, 0, 351992262528, 0, 654957613440, 0, 0, 0, -498709209600, -446370877440, 0, 0, 6068080896, 526830484480, -526273457072, 0, 0, 667006437736, 631932295680, 0, 0, 0, 449099423136, 0, 760736057088, 0, 0, 0, -437381832480, 588356713616, 0, 0, -470475052032, -841369962240, -1032931246208, 0, 0, -634065776640, 299787294720, 0, 0, 0, 331788211200, 0, 721349989600, 0, 0, 0, -198503808000, -764139343000, 0, 0, 112235393280, 371683123700, -1165635195744, 0, 0, 1537207432992, 517984950400, 0, 0, 0, 165641022928, 0, 455677716480, 0, 0, 0, -405098319360, 949170553632, 0, 0, 510849500160, -1187716389100, -599498043648, 0, 0, -1525426074624, -178781744400, 0, 0, 0, 27336231808, 0, 254616840960, 0, 0, 0, -358505850880, -16487878040, 0, 0, -188103483904, 1153005344400, -25458677760, 0, 0, 1767450101760, -161495944320, 0, 0, 0, 317178648096, 0, 197176912000, 0, 0, 0, -36448005120, 165012157160, 0, 0, 45598460928, -1707001497600, 317302987392, 0, 0, -1370500950384, 207270533520, 0, 0, 0, -225116362752, 0, -653103646448, 0, 0, 0, 595311813120, -2171817589104, 0, 0, 63615000960, 1991840176640, 784946565536, 0, 0, 2373136605696, -658783610880, 0, 0, 0, -548999929392, 0, -1518743107584, 0, 0, 0, 715195219200, 1949457362920, 0, 0, 247769794560, -973109681520, 1942278636032, 0, 0, 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• 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], [-0.8938473382528608, 0.44837142627321375], [0.5267439397705177, 0.0], [0.597926128203448, -0.8015512118459018], [-0.8964764009213059, 0.44309148332052384], [-0.4708286685047024, 0.23617693155567882], [0.36221786148017926, 0.0], [-0.17506201808012092, 0.9845574080904147], [-0.7225408219150333, 0.0], [0.6026434844240764, -0.7980105454699254], [0.0, -1.689433446070174], [0.3149539644616159, -0.42221224325554313], [0.0, -1.440022686760125], [-0.32376747135170164, 0.16240813917350136], [-0.47221351133258277, 0.23339575360301534], [-0.28496869042326756, -0.9585368253116037], [0.0, 0.48970506320478085], [0.6458411904477868, -0.3239666588626636], [0.0, -0.6100489245778582], [-0.18086614801447437, 0.9835077206114887], [0.19079606341132124, 0.0], [0.7574936838081545, 1.510095588925183], [-1.5314404902634398, 0.0], [-0.09221285710770048, 0.5186096480677944], [0.6073398748176358, -0.7944421164921321], [0.6456650259284226, 1.2871604455842707], [-0.9073379389510703, 0.0], [0.21657952348097648, -0.2903361658216687], [0.2611969057297819, 0.0], [0.3174388032625706, -0.4203472186992483], [0.0, -0.1675670423647894], [0.6844990289206033, 0.729013771753834], [0.0, -0.8898988293630858], [-0.21956975764234188, -0.4377215672745423], [-0.3247197648091632, 0.16049564952844067], [-0.4320260361165929, 0.5791534714141289], [0.0, 0.9188253281366717], [0.27352850640941445, 0.5452906074379387], [0.0, -0.7585232233829542], [-0.27931003445850483, -0.9602009709695095], [-0.7103231604120495, 0.0], [-0.17054255342933353, 0.08554750307904864], [0.4184877472447173, 0.0], [-1.354167426030546, -1.010156399266148], [0.6477407955491112, -0.3201516845419626], [1.3688740059146318, -0.6866541568719682], [1.0215718818421753, 0.0], [-0.15010553070479693, -0.5049034637797586], [-0.8687982208247257, 0.0], [-0.18666398565748157, 0.9824238171270399], [0.0, 0.25794917431805664], [-1.1542519296581695, -0.8610271896196081], [0.0, 0.8841542461564866], [0.8110216016272508, 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[0.0, -0.6877506030804971], [-0.14727810915978212, 0.07387759971615292], [-0.7416765427587144, 0.36658026818917283], [-1.0244075421380607, -0.18214768401470055], [0.0, -0.6565855059568688], [0.0802591873686974, -0.040259588826847166], [0.0, 0.4938272899545638], [-0.18476777118869198, 1.004723832951387], [-0.007656901310721552, 0.0], [0.03309441987566629, 0.0659751210347235], [1.0878176490269051, 0.0], [-0.44709813855660063, 0.13292026729775006], [0.29463056213862243, -0.14562379185374866], [0.3170018252889768, 0.6319565011334846], [0.3836061865649821, 0.0], [-0.8123854775260616, -0.606008070360515], [-1.682354001912229, 0.0], [0.599326593118025, 0.11387416370776338], [0.0, 0.11747403426826737], [-0.17464071502095413, -0.031052486893395972], [0.0, 0.7449786640665524], [0.286436497046554, 0.5710232308771708], [-0.2043779758975844, -0.4135038454975449], [-0.40819107495487833, -0.30449471650464666], [0.0, -0.23243882064219318], [-0.25050022749324674, -0.4993827627189973], [0.0, 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[-0.05735094128801783, -0.114331518943301], [0.19491189354718244, 0.0], [-0.5252687110597375, 0.7041501483798839], [-0.6408890808096923, 0.0], [0.9741192079871053, 0.7356376392245243], [0.0, -1.181856604491719], [0.1221586815759896, -0.11469947777779593], [0.0, -0.07397294733179502], [-0.1327488931253093, -0.2646405141432179], [-0.24367323108928263, -0.49300722182864704], [-0.5809176258781457, 0.7787504259168896], [0.0, 0.1510780146706117], [-0.16290699358483607, -0.3247619586486587], [0.0, -0.8336850794875685], [-0.9324602129981553, -0.36127268257568945]], 'angles': [None, -0.2075826738850687, None, -0.22101567071838527, -0.3398844505892155, -0.37206828617770266, 0.0393697749312829, -0.45066767882772946, -0.38880864120541747, -0.22915506673362704, -0.4866497882445276, 0.07597003966890727, -0.30778707661199173, -0.21644987500645382, -0.16467723593679717, 0.07287912511066225, -0.4625370377510918, -0.21088653202745464, -0.2697774354582601, 0.06700699075745582, -0.40071565695461314, -0.29398221232515015, -0.4368159591055615, -0.26456206532582005, 0.08222981370683248, -0.16320129357598956, -0.32031570888362637, -0.19529150165026196, -0.222684755231364, -0.40466375163082946, -0.13134661913868978, -0.4671696965939049, -0.43049242225536155, 0.09001218270463479, -0.10711840592363858, -0.41814618680280585, -0.4888400208268716, -0.2816927640219614, -0.2946487779700994, -0.43791616823942003, -0.31921937297160846, -0.17744512632630188, 0.03703890479071122, 0.04325940664026949, 0.15337514451224296, 0.04433386887358496, 0.08715945956004172, -0.1658247446008844, -0.38821096301925223, -0.1817254086206819, -0.4108618042576108, -0.45902386892095376, -0.28819330433921914, -0.3577421045274459, -0.37411000029980324, -0.2828884285502908, -0.1469620338722485, 0.0719564059264579, 0.0013620320632764839, -0.3055375123743249, -0.06946063020042689, -0.458981000543952, -0.19703731403297162, -0.38679037588775095, 0.07764857021726307, 0.017784294240396084, -0.48881538508361644, 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-0.21928325168125687, 0.060747841624100754, -0.31847241266144544, 0.03662218456541492, -0.4491573772141034, -0.17653142145954098, -0.3993808026380431, 0.012033869464825476], 'char_orbit_index': 4, 'conrey_index': 19, 'dual_conrey_index': 19, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 3.58697141018571, 'embedding_root_real': -7.150778706022886, 'hecke_orbit': 3, 'hecke_orbit_code': 9007405564166164, 'label': '20.9.d.c.19.4', 'level': 20, 'weight': 9}
• 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': 1620, 'analytic_conductor': 8.147572201222545, 'char_conductor': 20, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [20, 2, [11, 17], [1, 1]], 'conrey_index': 19, 'cusp_dim': 22, 'dim': 22, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206309425172, 'hecke_orbit_dims': [1, 1, 20], 'label': '20.9.d', 'level': 20, '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, 5], 'level_radical': 10, 'mf_dim': 26, 'mf_new_dim': 26, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 22, 'sturm_bound': 27, 'trace_bound': 2, 'trace_display': [0, 0, -170, 0], 'traces': [22, 0, 0, -240, -170, -1648, 0, 0, 39362, -4160, 0, 0, 0, 70352, 0, 71872, 0, 0, 0, 315760, -197096, 0, 0, -1451008, 123990, -440448, 0, 0, 701420, -2492080, 0, 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3824993592320, -7266406989416, 0, 0, 2234428492800, 6448327119360, -211495859248, 0, 0, 13375213548140, -2656444462080, 0, 0, 0, -286317884528, 0, -1494956083968, 0, 0, 0, 120956853120, 5485019663084, 0, 0, -235567864320, -10823605768400, 1168849858560, 0, 0, -11728870139904, -1319949772800, 0, 0, 0, -1055431243392, 0, -2053477647360, 0, 0, 0, -1773040527360, -3790431598058, 0, 0, 174505367520, 7227701368320, 431211144128, 0, 0, 15254829404160, 830571582720, 0, 0, 0, 2296941624272, 0, -449622354816, 0, 0, 0, 940644746640, 9010730016388, 0, 0, 2250844678144, -7622322676480, -947695397376, 0, 0, -15247433235176, 1994186004480, 0, 0, 0, -1543831080960, 0, 2416854045184, 0, 0, 0, -1574118512000], 'weight': 9, '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: 40783239
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 19, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405564166164, 'target_is_minimal': True, 'target_label': '20.9.d.c.19.4', 'target_level': 20, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
  • id: 40783240
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 19, 'target_dim': 20, 'target_embedding_index': 18, 'target_hecke_orbit_code': 9007405564166164, 'target_is_minimal': True, 'target_label': '20.9.d.c.19.18', 'target_level': 20, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40783241
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 51, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27021666634694756, 'target_is_minimal': False, 'target_label': '100.9.b.g.51.7', 'target_level': 100, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 9}
  • id: 40783242
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 51, 'target_dim': 20, 'target_embedding_index': 14, 'target_hecke_orbit_code': 27021666634694756, 'target_is_minimal': False, 'target_label': '100.9.b.g.51.14', 'target_level': 100, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40783243
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 19, 'target_dim': 20, 'target_embedding_index': 17, 'target_hecke_orbit_code': 9007405564166164, 'target_is_minimal': True, 'target_label': '20.9.d.c.19.17', 'target_level': 20, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 9}
  • id: 40783244
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 319, 'target_dim': 20, 'target_embedding_index': 11, 'target_hecke_orbit_code': 27022078951555392, 'target_is_minimal': False, 'target_label': '320.9.h.g.319.11', 'target_level': 320, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40783245
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 319, 'target_dim': 20, 'target_embedding_index': 9, 'target_hecke_orbit_code': 27022078951555392, 'target_is_minimal': False, 'target_label': '320.9.h.g.319.9', 'target_level': 320, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 9}
  • id: 40783246
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 51, 'target_dim': 20, 'target_embedding_index': 13, 'target_hecke_orbit_code': 27021666634694756, 'target_is_minimal': False, 'target_label': '100.9.b.g.51.13', 'target_level': 100, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40783247
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 51, 'target_dim': 20, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021666634694756, 'target_is_minimal': False, 'target_label': '100.9.b.g.51.8', 'target_level': 100, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 9}
  • id: 40783248
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 19, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405564166164, 'target_is_minimal': True, 'target_label': '20.9.d.c.19.3', 'target_level': 20, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 9}
  • id: 40783249
    {'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 319, 'target_dim': 20, 'target_embedding_index': 10, 'target_hecke_orbit_code': 27022078951555392, 'target_is_minimal': False, 'target_label': '320.9.h.g.319.10', 'target_level': 320, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 9}
  • id: 40783250
    {'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 20, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007405564166164, 'source_is_minimal': True, 'source_label': '20.9.d.c.19.4', 'source_level': 20, 'target_conrey_index': 319, 'target_dim': 20, 'target_embedding_index': 12, 'target_hecke_orbit_code': 27022078951555392, 'target_is_minimal': False, 'target_label': '320.9.h.g.319.12', 'target_level': 320, 'twist_class_label': '20.9.d.c.19.3', 'twist_class_level': 20, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 9}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 78350
    {'charpoly_factorization': [[[1208925819614629174706176, 0, 6935975771714791407616, 0, 24062732809040560128, 0, 47491205738528768, 0, 606185241706496, 0, 3117633503232, 0, 9249652736, 0, 11057408, 0, 85488, 0, 376, 0, 1], 1]], 'hecke_orbit_code': 9007405564166164, 'p': 2}
  • id: 78351
    {'charpoly_factorization': [[[-2132400444991488000, 0, 3119247097344000, 0, -1615110935040, 0, 357004800, 0, -33444, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 3}
  • id: 78352
    {'charpoly_factorization': [[[9094947017729282379150390625, 16530975699424743652343750, 24817287921905517578125, 17815704345703125000, 67063098144531250, 106540789062500, 171681531250, 116757000, 416365, 710, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 5}
  • id: 78353
    {'charpoly_factorization': [[[-29657458236964076360352000000000, 0, 461597764921071162048000000, 0, -749894275995129664000, 0, 276557201088000, 0, -31753764, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 7}
  • id: 78354
    {'charpoly_factorization': [[[15172797110495320518303240998092800000, 0, 139924993148572161134466957312000, 0, 11370692062463229296640000, 0, 255644929012162560, 0, 999897600, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 11}
  • id: 78355
    {'charpoly_factorization': [[[155657975855076136795350189556610720228966400, 0, 1511377356832093209759389863212220416, 0, 4818723919967564715491721216, 0, 6777713303056951296, 0, 4307527296, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 13}
  • id: 78356
    {'charpoly_factorization': [[[5746012411929113865097636701189822148406516121600, 0, 7041476677296535234749018085017891373056, 0, 2926367697006969676461345079296, 0, 524394495038692950016, 0, 39851142656, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 17}
  • id: 78357
    {'charpoly_factorization': [[[546076042429389296448003082597847535868654387200000, 0, 262188575162943350899960000088723423232000, 0, 43568180489060234327867129856000, 0, 3035447294229518376960, 0, 92184752640, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 19}
  • id: 78358
    {'charpoly_factorization': [[[-7217857466728276503287916792476612710274952322541568000, 0, 414577025706112254442865420466840981364224000, 0, -9233309068064387095231387412247040, 0, 99162143559939869422080, 0, -510426064164, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 23}
  • id: 78359
    {'charpoly_factorization': [[[-30276883392960895650431633952, 162409896431142574830672, 171570015674974384, -888999256792, -165034, 1], 4]], 'hecke_orbit_code': 9007405564166164, 'p': 29}
  • id: 78360
    {'charpoly_factorization': [[[51544600197692551700881397677520433763659874303161139200000, 0, 2351799696820860978922236119551497684230602752000, 0, 8586673636179603992200480624214016000, 0, 10914217531264714313564160, 0, 5638508605440, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 31}
  • id: 78361
    {'charpoly_factorization': [[[30037819319013723058426705230124554140610144145787741798400, 0, 2704676249655258321255452078832907254408907063296, 0, 58977363374897429963587495770103873536, 0, 46058041717838013608994816, 0, 11893689000576, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 37}
  • id: 78362
    {'charpoly_factorization': [[[51951972189997853280204971624928, 72544453954236394944642000, 940395578112962800, -18689187840760, -1767130, 1], 4]], 'hecke_orbit_code': 9007405564166164, 'p': 41}
  • id: 78363
    {'charpoly_factorization': [[[-1321438343478458194767158474298482437296748265376952992000000000, 0, 3006677598543127834668343875613123752140152512000000, 0, -1953173545609777347283119484453251904000, 0, 464523144149791524071078400, 0, -38122870151844, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 43}
  • id: 78364
    {'charpoly_factorization': [[[-2562209685817093153645623591097913693376195203514137438208000, 0, 41411262778162300764607204686363463189323283968000, 0, -148856979246427864086538334880156029440, 0, 122475825305626033871439360, 0, -29539975189284, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 47}
  • id: 78365
    {'charpoly_factorization': [[[74699546913901603698723425040908949784073902520443162215422361600, 0, 179487973955816914614028037115946044468512422804586496, 0, 113600565657918389938838924073364948647936, 0, 8223203157278890691117295616, 0, 171214156558976, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 53}
  • id: 78366
    {'charpoly_factorization': [[[5314033262618771029454094718706749667403243485235285591858138316800000, 0, 786123649498334687514526697540823153835836599835820032000, 0, 30709722030177890823791203245892547248128000, 0, 390125018778011776673178869760, 0, 1162879188472320, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 59}
  • id: 78367
    {'charpoly_factorization': [[[5077513741344040349583007612569568, 5171544525549714031701050320, -204530117862328705040, -175318412831480, 4415110, 1], 4]], 'hecke_orbit_code': 9007405564166164, 'p': 61}
  • id: 78368
    {'charpoly_factorization': [[[-192009419363540251446439764973183643384637825148497689241856812115968000, 0, 11973937916959689684749300879056031255121891501271801344000, 0, -196711454457736432623091769909539284312240640, 0, 1061935651885337562672828633600, 0, -2069028898735524, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 67}
  • id: 78369
    {'charpoly_factorization': [[[928170945898942823253690526355990835287814595470800007549502567219200000, 0, 71632412797147266099108958610969380312947713917606428672000, 0, 730446632529110456921096232712763672100864000, 0, 2274749088447561577865354280960, 0, 2644899082536960, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 71}
  • id: 78370
    {'charpoly_factorization': [[[8656770641715294736113227803806226226861009046948644499083809331242598400, 0, 281712320612181386154839524066609409317100856126995070713856, 0, 2516151483228319084892355081582787324853354496, 0, 5622213039036308468353745289216, 0, 4337075064646656, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 73}
  • id: 78371
    {'charpoly_factorization': [[[74116699943703524273067281971409270794961538388323702831419688694579200000, 0, 13653843013572880697600341339872604793382402197345148076032000, 0, 41561218140827730135421558749002988074827776000, 0, 35898204367472905749552231874560, 0, 10767584501821440, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 79}
  • id: 78372
    {'charpoly_factorization': [[[-780478492073601485280319020450031754925920711584932291336407675254990848000, 0, 8052835967535978460678569490142550871687783529867612315136000, 0, -23888201810861368324537763998215792979635581440, 0, 26362200516335270030447066657280, 0, -10713609081322404, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, 'p': 83}
  • id: 78373
    {'charpoly_factorization': [[[3857468777715350768891560298151848928, 1089503430050302819981583091792, 33463171537117344182704, -3242477203123672, -26251594, 1], 4]], 'hecke_orbit_code': 9007405564166164, 'p': 89}
  • id: 78374
    {'charpoly_factorization': [[[3428387826665075422416502486239460175578038352848018920654363654986137600, 0, 1946976326067328274132521429324676401535437228237756506832896, 0, 46561450207847080157910948014556043464488779776, 0, 91497462469728357491398445531136, 0, 18819202916937216, 0, 1], 2]], 'hecke_orbit_code': 9007405564166164, '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': 4, 'hecke_orbit': 3, 'label': '20.9.d.c', 'level': 20, 'portrait': 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', 'weight': 9}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30359869
    {'hecke_orbit_code': 9007405564166164, 'n': 1, 'trace_an': 20}
  • id: 30359870
    {'hecke_orbit_code': 9007405564166164, 'n': 2, 'trace_an': 0}
  • id: 30359871
    {'hecke_orbit_code': 9007405564166164, 'n': 3, 'trace_an': 0}
  • id: 30359872
    {'hecke_orbit_code': 9007405564166164, 'n': 4, 'trace_an': -752}
  • id: 30359873
    {'hecke_orbit_code': 9007405564166164, 'n': 5, 'trace_an': -1420}
  • id: 30359874
    {'hecke_orbit_code': 9007405564166164, 'n': 6, 'trace_an': 3408}
  • id: 30359875
    {'hecke_orbit_code': 9007405564166164, 'n': 7, 'trace_an': 0}
  • id: 30359876
    {'hecke_orbit_code': 9007405564166164, 'n': 8, 'trace_an': 0}
  • id: 30359877
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