Embedded newform data - 100.9.d.c.99.3

Formats: - HTML - YAML - JSON - 2025-09-12T14:19:45.209811

• 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': 8100, 'analytic_conductor': 40.73786100611272, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [100, 2, [51, 77], [1, 1]], 'cm_discs': [], 'conrey_index': 99, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [213398473077332121592700928000, 0, -856914006842422920880128000, 0, 1211574848925683038003200, 0, -734061840467687424000, 0, 201935571626361600, 0, -27929868057600, 0, 2013496736, 0, -71888, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405564166244, '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': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '100.9.d.c', 'level': 100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '20.9.b.a', 'prim_orbit_index': 4, 'related_objects': [], 'relative_dim': 32, 'rm_discs': [], 'sato_tate_group': '8.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '100.9.d', 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 104, 0, 8736, 0, 0, 77600, 0, 0, 0, 0, -136944, 0, -162848, 0, 0, 0, 0, 828992, 0, 0, -327584, 0, 2074248, 0, 0, -5529792, 0, 0, 0, 0, -7587928, 0, -10937832, 0, 0, 0, 0, -17152896, 0, 0, -33842400, 0, -15948304, 0, 0, 65607200, 0, 0, 0, 0, -17797408, 0, 68269536, 0, 0, 0, 0, 16743424, 0, 0, 95087744, 0, 38716000, 0, 0, -15054528, 0, 0, 0, 0, 276421752, 0, 5140800, 0, 0, 0, 0, 281173344, 0, 0, -139523648, 0, -203449344, 0, 0, -213294912, 0, 0, 0, 0, -110529264, 0, -906779904, 0, 0, 0, 0, -559724736, 0, 0, -544363488, 0, 454513608, 0, 0, -1597770752, 0, 0, 0, 0, 1101579200, 0, 2013421104, 0, 0, 0, 0, -477687008, 0, 0, -2232341600, 0, -1868631152, 0, 0, 4688457792, 0, 0, 0, 0, 1574726976, 0, -183286432, 0, 0, 0, 0, 4718418752, 0, 0, -4011772000, 0, 1077612888, 0, 0, 2062944768, 0, 0, 0, 0, 6693946400, 0, 452938400, 0, 0, 0, 0, -2191697088, 0, 0, -7297304112, 0, -2402437824, 0, 0, -7889026144, 0, 0, 0, 0, 17544751232, 0, -1373510400, 0, 0, 0, 0, -8595870656, 0, 0, -15685451424, 0, -1977039200, 0, 0, -802914176, 0, 0, 0, 0, 9155718792, 0, 1274827288, 0, 0, 0, 0, 12660333632, 0, 0, -31505084000, 0, 576127536, 0, 0, -5403878400, 0, 0, 0, 0, 34500082656, 0, 15319273152, 0, 0, 0, 0, -789805824, 0, 0, -42572323584, 0, -24267212552, 0, 0, 2496735808, 0, 0, 0, 0, 83096526872, 0, 22572883200, 0, 0, 0, 0, -17790061696, 0, 0, -47888533872, 0, 1093485792, 0, 0, 4493690432, 0, 0, 0, 0, 54981555696, 0, -22517539328, 0, 0, 0, 0, 4671081536, 0, 0, -83434278400, 0, 43886400, 0, 0, 52909744128, 0, 0, 0, 0, 42088012552, 0, 11988794432, 0, 0, 0, 0, 20818287744, 0, 0, -114270991200, 0, -1021796800, 0, 0, -10731465824, 0, 0, 0, 0, 123466753408, 0, 54793809888, 0, 0, 0, 0, -46788978368, 0, 0, -101833753600, 0, -10349195592, 0, 0, -71869939648, 0, 0, 0, 0, 131259501432, 0, -12239953600, 0, 0, 0, 0, 50264963392, 0, 0, -96692920984, 0, -13574436384, 0, 0, -40553788608, 0, 0, 0, 0, 85787608176, 0, 33978102912, 0, 0, 0, 0, -66313209600, 0, 0, -37140370464, 0, -82326094712, 0, 0, -59927575232, 0, 0, 0, 0, 63801110400, 0, -18685931856, 0, 0, 0, 0, -17943480288, 0, 0, -100956636000, 0, -115870775648, 0, 0, 105643936000, 0, 0, 0, 0, 70122816000, 0, 102354718816, 0, 0, 0, 0, 196754411072, 0, 0, 25304792576, 0, 180947641368, 0, 0, 50140236288, 0, 0, 0, 0, -49002549608, 0, -205394583200, 0, 0, 0, 0, 24509638464, 0, 0, 291530153808, 0, 148288160672, 0, 0, 201407938048, 0, 0, 0, 0, -265585729232, 0, -62759734272, 0, 0, 0, 0, -344789570816, 0, 0, 168087275552, 0, -52319752800, 0, 0, 8291411200, 0, 0, 0, 0, -310433316000, 0, 186981027824, 0, 0, 0, 0, 440627748256, 0, 0, 15083765600, 0, -11702751504, 0, 0, -122769925632, 0, 0, 0, 0, -464477305504, 0, -199297792000, 0, 0, 0, 0, -322074710976, 0, 0, 233186157888, 0, 119372852728, 0, 0, 109115595072, 0, 0, 0, 0, -840952814400, 0, -16903096800, 0, 0, 0, 0, 85147775616, 0, 0, 862989349224, 0, -323011555232, 0, 0, -708438410688, 0, 0, 0, 0, -694050787200, 0, -190180940800, 0, 0, 0, 0, -704841375168, 0, 0, 1493795773088, 0, 65387450400, 0, 0, -46484425152, 0, 0, 0, 0, -60503360568, 0, -99449755648, 0, 0, 0, 0, 1239678897984, 0, 0, 971670588000, 0, 409134452816, 0, 0, -82862508000, 0, 0, 0, 0, -700733376448, 0, -14496704544, 0, 0, 0, 0, 217651389504, 0, 0, 925668129792, 0, 647676066400, 0, 0, 1058691772800, 0, 0, 0, 0, -1119056219688, 0, -289252854400, 0, 0, 0, 0, 102225081600, 0, 0, 994624638912, 0, 451440919776, 0, 0, 179777468928, 0, 0, 0, 0, -1844705829568, 0, 47605464448, 0, 0, 0, 0, -1942050318528, 0, 0, 37492589472, 0, -190082971832, 0, 0, 82921446400, 0, 0, 0, 0, -1433876862400, 0, -367064528016, 0, 0, 0, 0, 1443241979264, 0, 0, 184019696800, 0, 920797979072, 0, 0, -198976327296, 0, 0, 0, 0, 335038947456, 0, -367319852800, 0, 0, 0, 0, -2320950572416, 0, 0, 1587866675200, 0, -1959360691752, 0, 0, -1241947666176, 0, 0, 0, 0, -334171490728, 0, 1075980100000, 0, 0, 0, 0, 1191288434304, 0, 0, 101324489472, 0, -338758681600, 0, 0, -281056166400, 0, 0, 0, 0, -216868559008, 0, -807239845056, 0, 0, 0, 0, -768254578176, 0, 0, -693706816544, 0, 142334749928, 0, 0, 588641214272, 0, 0, 0, 0, -967322289048, 0, 1401873534280, 0, 0, 0, 0, 3359213732672, 0, 0, -1735432270400, 0, 713459834112, 0, 0, 173187118464, 0, 0, 0, 0, 2342502292736, 0, -971206198208, 0, 0, 0, 0, -2547357371136, 0, 0, 124097203200, 0, 1647231171608, 0, 0, 1292286429248, 0, 0, 0, 0, 4489194234400, 0, -1244151014400, 0, 0, 0, 0, 5341568188992, 0, 0, -120436166832, 0, -1919127577184, 0, 0, -237534536608, 0, 0, 0, 0, 1941741616176, 0, 2511363046656, 0, 0, 0, 0, -5845652454400, 0, 0, -3741683641600, 0, 2201051714088, 0, 0, -577574367168, 0, 0, 0, 0, 2461196571824, 0, -833319597056, 0, 0, 0, 0, 1390867861824, 0, 0, -2910920080800, 0, -2775886927824, 0, 0, -1268111883072, 0, 0, 0, 0, 3244469868448, 0, 1790126775648, 0, 0, 0, 0, -7891634400000, 0, 0, -5323743496800, 0, -2159007781600, 0, 0, -1251205565888, 0, 0, 0, 0, 2716522534392, 0, -3014538006400, 0, 0, 0, 0, 10945569736896, 0, 0, -5496546558208, 0, 924436790400, 0, 0, 2334131590848, 0, 0, 0, 0, 2027413169600, 0, 4259695878400, 0, 0, 0, 0, -731237711616, 0, 0, -4962684593184, 0, -3396432873600, 0, 0, 1784364766208, 0, 0, 0, 0, 5762043702400, 0, 206447424000, 0, 0, 0, 0, 6605762767456, 0, 0, -5537367223200, 0, -2878432579312, 0, 0, -3260952562368, 0, 0, 0, 0, 5599521163392, 0, 553409488736, 0, 0, 0, 0, -14812802907776, 0, 0, -7677306828288, 0, 1290884063928, 0, 0, 5080559270400, 0, 0, 0, 0, 5697472392000, 0, 4199095343200, 0, 0, 0, 0, 9709884706944, 0, 0, -4439547749856, 0, 493725617056, 0, 0, -6171964465088, 0, 0, 0, 0, 3250125227872, 0, -3341128149504, 0, 0, 0, 0, -11668177282304, 0, 0, 2296131639712, 0, 5856597716000, 0, 0, 7065740500800, 0, 0, 0, 0, 8090011510632, 0, -1059005599696, 0, 0, 0, 0, 13110789756992, 0, 0, 1832372502400, 0, 1818694088016, 0, 0, -4068809870592, 0, 0, 0, 0, 1363074969376, 0, 562659244768, 0, 0, 0, 0, -9003604072896, 0, 0, -2879125401600, 0, -7523059895200, 0, 0, 6412993051904, 0, 0, 0, 0, -4078063330088, 0, 1878361108800, 0, 0, 0, 0, 11814752526112, 0, 0, -5173970059312, 0, 354858057504, 0, 0, -4258356582400, 0, 0, 0, 0, 2205518931216, 0, -5587269215936, 0, 0, 0, 0, -21001918029184, 0, 0, -3583436813248, 0, -3187889685264, 0, 0, -6275281533888, 0, 0, 0, 0, -1359184976800, 0, 4694415758592, 0, 0, 0, 0], 'weight': 9, '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], [-0.9570236012813478, -0.29001004567166255], [0.9351752043692289, 0.0], [0.8317883468190403, 0.5550929166329254], [0.0, 0.0], [-0.8949847419144599, -0.27121020373012644], [-0.08760724452492867, 0.0], [-0.6350585570718857, -0.7724639985719558], [-0.12544733713297102, 0.0], [0.0, 0.0], [0.0, -0.009679913376103676], [0.7778678372284391, 0.5191091317561073], [0.0, -0.6181679788136749], [0.08384220065358287, 0.025406980985843073], [0.0, 0.0], [0.3837437078079044, 0.9234396389141207], [0.0, 1.2240103939430074], [0.12005606235415127, 0.036380987971321374], [0.0, 0.8217284466242513], [0.0, 0.0], [-0.08192812280282517, 0.0], [-0.0028072721203015643, 0.00926390555929023], [1.6278013314928792, 0.0], [-0.5938910158961284, -0.7223891777324004], [0.0, 0.0], [-0.1792749237685132, 0.5916013452810751], [-1.0524904435101305, 0.0], [-0.07287068509276184, -0.04863016088151653], [-1.2232539687867798, 0.0], [0.0, 0.0], [0.0, -0.46538027421203093], [-0.09944501335887022, -0.9950430590271228], [0.0, -0.009052414969774186], [0.35497531025000123, -1.171406835217138], [0.0, 0.0], [-0.10434563316668477, -0.06963492825297475], [0.0, 1.3435816590698786], [0.23830950433520343, -0.7864135172636687], [0.0, -0.5780953659215916], [0.0, 0.0], [-1.0547326272198785, 0.0], [0.07840714713098026, 0.02375997863584091], [0.6500176977380767, 0.0], [0.005373251348695456, -0.008051639144460792], [0.0, 0.0], [-1.5578442924358882, -0.472078738490643], [1.56544321572547, 0.0], [0.35886760037466264, 0.8635778530441598], [-0.9923249707067494, 0.0], [0.0, 0.0], [0.0, 1.1446641703057123], [0.3431406663287632, -0.5141849211538942], [0.0, 1.972188992546271], [1.007258194562268, 0.30523280159136135], [0.0, 0.0], [0.055635730297045057, 0.06767344240959748], [0.0, 0.7684600680078432], [1.1706829184900254, 0.3547559393558965], [0.0, 0.5268743237186218], [0.0, 0.0], [0.146823108407403, 0.0], [-0.13496495457892194, 0.44537990599169897], [0.010990095539209356, 0.0], [-0.19340125817954898, 0.9811197446461708], [0.0, 0.0], [-0.0026252912788230537, 0.008663374774666475], [-1.0098828593685003, 0.0], [-0.6794394995628399, 1.0181175820671764], [1.5222794428513562, 0.0], [0.0, 0.0], [0.0, 1.749051729477243], [0.07966640490817496, 0.09690355165193898], [0.0, 0.6333660340769501], [0.38965217831046367, -1.2858393579786231], [0.0, 0.0], [-0.4561356401168987, 0.683504146151764], [0.0, 0.0008480305381204425], [-0.16765346347349727, 0.5532509089783402], [0.0, 0.5237159884127749], [0.0, 0.0], [-0.8588156284732757, 0.0], [1.0094040172909056, 0.3058830573914296], [1.072710515644168, 0.0], [-0.06814685782414928, -0.0454777206408807], [0.0, 0.0], [-0.6220822779859048, -0.18851166220840856], [-1.1439567802556472, 0.0], [-0.007477384592335205, 0.0061473118212092455], [0.42764369220476545, 0.0], [0.0, 0.0], [0.0, 0.054155993277410545], [1.3539861784722946, 0.9035809887973416], [0.0, -0.4352120930456438], [-1.4981661039150433, -0.4539942584889379], [0.0, 0.0], [-0.09299851069138215, -0.9305395960818722], [0.0, -0.3820886140929578], [0.9496784171071813, 0.2877842100757956], [0.0, 0.0012143193567100334], [0.0, 0.0], [0.5251179166386187, 0.0], [0.33196410830907536, -1.0954706265236986], [0.04880900108214592, 0.0], [-0.4775125087035554, 0.3925728646534564], [0.0, 0.0], [0.5719546198014942, -1.8874314120540654], [-0.3495469543594785, 0.0], [-0.8754492860501302, -0.5842299900163195], [-0.9562948694885339, 0.0], [0.0, 0.0], [0.0, 1.2564842526074214], [-0.03361872884482986, -0.08090000225036122], [0.0, -0.9357958831689582], [0.2228611394198035, -0.7354344217257754], [0.0, 0.0], [-1.0174883964369856, -0.679019613316655], [0.0, 0.07754752684304636], [0.15279884668486382, -0.50423116270787], [0.0, -0.10723217788321932], [0.0, 0.0], [0.9999062992770311, 0.0], [-0.14051317995937457, -0.04258017637488641], [-0.9863598002152436, 0.0], [0.2583292937557868, -0.38709788892901686], [0.0, 0.0], [-0.010517780811360214, -0.00318723810926204], [-1.4949757908497892, 0.0], 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-0.2077167888420429, -0.24611551745365565, -0.2779596559812923, -0.32934577168107293, -0.4225057398085501, -0.3843701047104327, 0.17959936473021718, 0.12926282857001575, 0.09092463603160196, -0.2912650157955894, -0.48239403649776535, -0.45366889243603137, -0.2163576022695631, -0.26598785843378, 0.04188399547822421, -0.37556218096245475, -0.2935825595439297, 0.16549696138938877, -0.4141436690633777, -0.42182888409159625, -0.39641089478819275, -0.4303733735316688, -0.21406097839510502, -0.10694398605023342, -0.2893606248838578, 0.00696271401210584, 0.009335447837249, -0.40158208820473296, -0.31810405672650693, 0.027372249441913323, -0.32953738962435036, -0.3417772644635139, -0.3527395378848112, -0.41888912183663773, -0.1432316438209218, -0.2947608433311452, -0.43775936762031825, -0.13517371512951074, 0.0732249005710965, -0.4261992638361085, 0.01984016680688176, -0.40179606613044383, -0.38150074476992957, -0.2522435979947996, -0.16406270501358186, -0.48787739321134227, 0.10023652710684003, -0.3654191643565387, 0.07257813571544876, 0.06355036898943849, -0.20352436873569232, -0.20508678267675465, 0.06427397382566069, -0.17148446211311463, -0.3020388960946222, 0.09605872987650735, -0.22006610303029914, 0.10178954764650579, -0.4683524547545544, -0.45062352181353904, -0.16111123710271824, -0.3354783490779612, -0.3169432985206109, -0.29150464245631175, -0.3173514907857623, -0.311638078835424, 0.06872862868232887, -0.3077524505587228, -0.3798085749591077, 0.020100114695353957, -0.17040989213928365, -0.2348203282207783, -0.22063097347811705, -0.4109581197753535, -0.23262925319001765, -0.25195071543957714, 0.01638927986433886, -0.2256794691035537, -0.44979692220462025, 0.06653144537809315, 0.06552270682902994, -0.12496145329720297, -0.43090524103409134, -0.4171293615938167, -0.2904027765726553, -0.10974809179273329, 0.07392234005459343, 0.1415077936256817, 0.032922264557643875, -0.4271259518184274, -0.34220109296909423, -0.11054850670690951, -0.1450219772360212, 0.11569746959948435, 0.06279826068854859, -0.20806982565525836, 0.007835490578058877, -0.48765365326373655, -0.24098069614090203, 0.1154544534846768, -0.28579867465044684, -0.24336758328500835, -0.44400786027494527, -0.28878953511072913, -0.4849184483786486, 0.07989217864172128, -0.29572705031626206, 0.04455298260831029, -0.4403921373863762, -0.11595845876660472, -0.2734327475649095, 0.15602460682770158, -0.29052446148779126, 0.09045025228048366, -0.42265945242575365, -0.4787824964555178, -0.288620246925262, -0.2928982645762349, -0.36657183880717154, -0.0919346771583217, -0.46803955334819697, 0.18086893040241298, -0.4972870400010411, 0.03816788131346222, -0.18225362874151005, 0.1588218654842872, -0.19579472398143824, -0.35081615162089924, -0.18622908637838648, -0.09496794029346182, -0.4978000057910825, 0.013040948779331932, -0.15896654916600642, -0.3099716933921399, -0.42970212213691855, -0.17173626325770644, 0.036261508356856695, -0.18374069104256946, -0.34273183769401394, 0.0037675642225916814, -0.1456617158984352, 0.052710689603071466, -0.4786526408821282], 'char_orbit_index': 4, 'conrey_index': 99, 'dual_conrey_index': 99, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 3, 'embedding_m': 3, 'hecke_orbit': 3, 'hecke_orbit_code': 9007405564166244, 'label': '100.9.d.c.99.3', 'level': 100, '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': 8100, 'analytic_conductor': 40.73786100611272, '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': [100, 2, [51, 77], [1, 1]], 'conrey_index': 99, 'cusp_dim': 114, 'dim': 70, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206309425252, 'hecke_orbit_dims': [2, 4, 32, 32], 'label': '100.9.d', 'level': 100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 126, 'mf_new_dim': 74, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 70, 'sturm_bound': 135, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [70, 0, 0, 478, 0, 2778, 0, 0, 144346, 0, 0, 0, 0, -107772, 0, -14110, 0, 0, 0, 0, 367936, 0, 0, 1859618, 0, 40352, 0, 0, -1333964, 0, 0, 0, 0, -7090802, 0, -3068292, 0, 0, 0, 0, 2071340, 0, 0, -14424090, 0, 6929908, 0, 0, 49848826, 0, 0, 0, 0, 30719506, 0, 47382228, 0, 0, 0, 0, 64259660, 0, 0, 8910478, 0, -10514590, 0, 0, -16422144, 0, 0, 0, 0, 77566828, 0, 91340010, 0, 0, 0, 0, 16585926, 0, 0, 97196996, 0, -100634352, 0, 0, 19314196, 0, 0, 0, 0, -141340392, 0, -19366962, 0, 0, 0, 0, 267235340, 0, 0, -10658312, 0, -379250628, 0, 0, -517402444, 0, 0, 0, 0, 414919390, 0, 1796638640, 0, 0, 0, 0, -1967014810, 0, 0, -1849009660, 0, -3341373016, 0, 0, 996445056, 0, 0, 0, 0, 321627498, 0, 1524009142, 0, 0, 0, 0, 2247654016, 0, 0, -2527579124, 0, -3214404538, 0, 0, 1820677876, 0, 0, 0, 0, 2748455620, 0, 7066368760, 0, 0, 0, 0, -666331584, 0, 0, 256709686, 0, -8926358082, 0, 0, -4124253074, 0, 0, 0, 0, 1839408016, 0, 13243127250, 0, 0, 0, 0, -3357959860, 0, 0, -3417082092, 0, -20650075540, 0, 0, -699605248, 0, 0, 0, 0, 5252047588, 0, 22274980298, 0, 0, 0, 0, 10027025056, 0, 0, -11386011970, 0, -23820566232, 0, 0, 5903004000, 0, 0, 0, 0, 18231074238, 0, 46327688106, 0, 0, 0, 0, -6823837736, 0, 0, -16493828052, 0, -42701491618, 0, 0, 4669130996, 0, 0, 0, 0, 39587361688, 0, 55370512200, 0, 0, 0, 0, 14565932140, 0, 0, -16300251804, 0, -76961421174, 0, 0, -15023321504, 0, 0, 0, 0, 2720214468, 0, 52920211010, 0, 0, 0, 0, -12150922484, 0, 0, -28596903950, 0, -69628962660, 0, 0, 7732086196, 0, 0, 0, 0, -6286463362, 0, 110787677476, 0, 0, 0, 0, -10577163700, 0, 0, -36104874120, 0, -111586138520, 0, 0, -2025109234, 0, 0, 0, 0, 21910231454, 0, 90760321172, 0, 0, 0, 0, -19447376704, 0, 0, -20754868130, 0, -104674441668, 0, 0, 15812131456, 0, 0, 0, 0, 98808021868, 0, 77220836740, 0, 0, 0, 0, -4849062304, 0, 0, -29785010426, 0, -112053967242, 0, 0, -76673976384, 0, 0, 0, 0, 55059457608, 0, 146638197996, 0, 0, 0, 0, 17777025600, 0, 0, -39843474432, 0, -69173928808, 0, 0, -38382376204, 0, 0, 0, 0, 5705145480, 0, 15505144070, 0, 0, 0, 0, -58417830810, 0, 0, -92262318960, 0, -82968733444, 0, 0, 32196205172, 0, 0, 0, 0, -20412445170, 0, 122558714168, 0, 0, 0, 0, 176599797376, 0, 0, 24904072258, 0, 57734543522, 0, 0, 233522378356, 0, 0, 0, 0, -53538186892, 0, -195455806780, 0, 0, 0, 0, 38537446700, 0, 0, 245221990396, 0, 287585140096, 0, 0, -109251918124, 0, 0, 0, 0, -35050661656, 0, -111416059288, 0, 0, 0, 0, -124940431540, 0, 0, 152856220228, 0, 67497401400, 0, 0, 114576201920, 0, 0, 0, 0, -47295975240, 0, -143114583740, 0, 0, 0, 0, 107513074022, 0, 0, -85650421340, 0, 502191005448, 0, 0, 2293008916, 0, 0, 0, 0, -214416072992, 0, -872818018370, 0, 0, 0, 0, -139837708660, 0, 0, -176100192224, 0, 473095446932, 0, 0, 296701162176, 0, 0, 0, 0, -481104554340, 0, -277520933940, 0, 0, 0, 0, 39470200344, 0, 0, 3367905588, 0, 454278542384, 0, 0, -947200811424, 0, 0, 0, 0, -21039112680, 0, -851180702420, 0, 0, 0, 0, -532810704384, 0, 0, 646072568344, 0, 1043191048500, 0, 0, 187478300596, 0, 0, 0, 0, 234679248588, 0, -1173926973824, 0, 0, 0, 0, 748693035500, 0, 0, 1100754508560, 0, 433809970948, 0, 0, -530288172294, 0, 0, 0, 0, -70266486134, 0, -505395491262, 0, 0, 0, 0, -356307048180, 0, 0, 271276154298, 0, 1619341568720, 0, 0, 1324189612212, 0, 0, 0, 0, -1111285664312, 0, -1590887854790, 0, 0, 0, 0, -9418448160, 0, 0, -462299018664, 0, 1132554621798, 0, 0, -737873521964, 0, 0, 0, 0, -1272938946284, 0, -460022156812, 0, 0, 0, 0, -413407009344, 0, 0, -133063295522, 0, 237435068252, 0, 0, 865484732480, 0, 0, 0, 0, -317913597830, 0, -1184421157360, 0, 0, 0, 0, 689309060140, 0, 0, 658773117380, 0, 2257953845476, 0, 0, -1643746891008, 0, 0, 0, 0, 1582350632358, 0, -822798447020, 0, 0, 0, 0, -200945288768, 0, 0, 1233964049000, 0, -1192807480228, 0, 0, 2050867289576, 0, 0, 0, 0, 852226458448, 0, 1141143897140, 0, 0, 0, 0, 459508609100, 0, 0, -51973136664, 0, 641519172850, 0, 0, -2029935261120, 0, 0, 0, 0, -790272334724, 0, -1197692164750, 0, 0, 0, 0, 329771407500, 0, 0, -1777026215482, 0, -229479465008, 0, 0, 2810188780096, 0, 0, 0, 0, -1748738137622, 0, 2256420292382, 0, 0, 0, 0, 352750786816, 0, 0, -1306282317700, 0, -1481759657784, 0, 0, -2578473099544, 0, 0, 0, 0, 622814941918, 0, -126814546144, 0, 0, 0, 0, -1025081571700, 0, 0, 2012223364350, 0, 663334641892, 0, 0, 3008468704756, 0, 0, 0, 0, 3090749391380, 0, 583773623730, 0, 0, 0, 0, 594704991936, 0, 0, 1597679471556, 0, -4766483006812, 0, 0, -5172177407558, 0, 0, 0, 0, 302784495528, 0, 4242232133868, 0, 0, 0, 0, -1497619428800, 0, 0, -1873886434580, 0, -227640287548, 0, 0, 4131648175296, 0, 0, 0, 0, -363987664304, 0, 1193863708052, 0, 0, 0, 0, 420690545900, 0, 0, -2909354475060, 0, -4732358832972, 0, 0, -5666893978284, 0, 0, 0, 0, -1017163827136, 0, 6683211916652, 0, 0, 0, 0, -2592474381120, 0, 0, -3100882301034, 0, -7098623149280, 0, 0, 5788953161216, 0, 0, 0, 0, 1562414968528, 0, 664306604440, 0, 0, 0, 0, 3407312781516, 0, 0, -527944995494, 0, -1196301739920, 0, 0, -3059989254284, 0, 0, 0, 0, 3477750289300, 0, 7630586636570, 0, 0, 0, 0, -1684015280500, 0, 0, -352300864152, 0, -7436252245680, 0, 0, 8399827017076, 0, 0, 0, 0, 4355090321150, 0, 5747178397530, 0, 0, 0, 0, 3305649683090, 0, 0, -4250874474750, 0, -6054760369856, 0, 0, -11884630825824, 0, 0, 0, 0, -568175562504, 0, 19617719398, 0, 0, 0, 0, -6415475521408, 0, 0, -4726829154714, 0, -2346383085598, 0, 0, 8293110028800, 0, 0, 0, 0, -202648702740, 0, 8692609383110, 0, 0, 0, 0, 6599435761100, 0, 0, 426605838056, 0, -5177668588642, 0, 0, -9854841540544, 0, 0, 0, 0, 1585134458096, 0, 2524161156468, 0, 0, 0, 0, -3961656817576, 0, 0, 2853738958118, 0, 401470089340, 0, 0, 19467720205812, 0, 0, 0, 0, 3034571600518, 0, 5826240093160, 0, 0, 0, 0, 5600474854816, 0, 0, 3342408001700, 0, -4018809518472, 0, 0, -14009224144844, 0, 0, 0, 0, 2212044773888, 0, 3565475134832, 0, 0, 0, 0, -1541720817460, 0, 0, 2942987232120, 0, -1738850029040, 0, 0, 12172738221736, 0, 0, 0, 0, -2159630408992, 0, 1149794498160, 0, 0, 0, 0, 5526290389190, 0, 0, -5694889795634, 0, 591658543512, 0, 0, -18641188510880, 0, 0, 0, 0, -4940286753132, 0, 26705521820, 0, 0, 0, 0, -10747065872564, 0, 0, -5974389347534, 0, -3537667946336, 0, 0, 12098436202176, 0, 0, 0, 0, 3274674834640, 0, -3291831144114, 0, 0, 0, 0], '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: 40784307
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.3', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
  • id: 40784308
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 29, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.29', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40784309
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 68870471700, 'target_is_minimal': True, 'target_label': '20.9.b.a.11.9', 'target_level': 20, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 9}
  • id: 40784310
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 51, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13510867752583268, 'target_is_minimal': False, 'target_label': '100.9.b.d.51.8', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40784311
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 30, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.30', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 9}
  • id: 40784312
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 91, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 137589948596, 'target_is_minimal': False, 'target_label': '180.9.c.a.91.8', 'target_level': 180, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 9}
  • id: 40784313
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 51, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510867752583268, 'target_is_minimal': False, 'target_label': '100.9.b.d.51.7', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 40784314
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 68870471700, 'target_is_minimal': True, 'target_label': '20.9.b.a.11.10', 'target_level': 20, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 9}
  • id: 40784315
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.4', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 9}
  • id: 40784316
    {'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 191, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510867752583488, 'target_is_minimal': False, 'target_label': '320.9.b.d.191.5', 'target_level': 320, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 9}
  • id: 40784317
    {'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 191, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13510867752583488, 'target_is_minimal': False, 'target_label': '320.9.b.d.191.12', 'target_level': 320, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 9}
  • id: 40784318
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007405564166244, 'source_is_minimal': False, 'source_label': '100.9.d.c.99.3', 'source_level': 100, 'target_conrey_index': 91, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 137589948596, 'target_is_minimal': False, 'target_label': '180.9.c.a.91.7', 'target_level': 180, 'twist_class_label': '20.9.b.a.11.9', 'twist_class_level': 20, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 9}
• hecke_orbit_code 9007405564166244 does not appear in mf_hecke_charpolys
• mf_newform_portraits •

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

  
  {'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '100.9.d.c', 'level': 100, 'portrait': 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', 'weight': 9}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30362965
    {'hecke_orbit_code': 9007405564166244, 'n': 1, 'trace_an': 32}
  • id: 30362966
    {'hecke_orbit_code': 9007405564166244, 'n': 2, 'trace_an': 0}
  • id: 30362967
    {'hecke_orbit_code': 9007405564166244, 'n': 3, 'trace_an': 0}
  • id: 30362968
    {'hecke_orbit_code': 9007405564166244, 'n': 4, 'trace_an': 104}
  • id: 30362969
    {'hecke_orbit_code': 9007405564166244, 'n': 5, 'trace_an': 0}
  • id: 30362970
    {'hecke_orbit_code': 9007405564166244, 'n': 6, 'trace_an': 8736}
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