Embedded newform data - 531.8.a.b.1.8

Formats: - HTML - YAML - JSON - 2024-04-28T11:55:33.339968

• 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
  conrey_indexes	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_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_prime	boolean
  level_is_prime_power	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': 33984, 'analytic_conductor': 165.87644853206865, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [59, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [531, 1, [119, 415], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 16, 'field_disc': 17456714708899061621955714912534868410834063975732312377153917312308621162144157555634641896270080, 'field_disc_factorization': [[2, 8], [5, 1], [59, 1], [193, 1], [1197686692397241757456125605990855005353834414774819447145999639961456949409425054038777903, 1]], 'field_poly': [-2385018853548032, 3193975642099712, -493048066650624, -494039551757568, 99470801612800, 16796366777600, -3353576629440, -226132003872, 42885295136, 1488374176, -269092298, -5107725, 890490, 8791, -1493, -6, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-2385018853548032, 3193975642099712, -493048066650624, -494039551757568, 99470801612800, 16796366777600, -3353576629440, -226132003872, 42885295136, 1488374176, -269092298, -5107725, 890490, 8791, -1493, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599761588755, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 124416, 'hecke_ring_index_factorization': [[2, 9], [3, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '531.8.a.b', 'level': 531, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 59], 'level_radical': 177, 'minimal_twist': '177.8.a.a', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(61+\\beta _{2})q^{4}+(5-\\beta _{1}-\\beta _{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '531.8.a', 'trace_display': [6, 0, 68, -2343], 'trace_hash': 454473167100527667, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.887', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '492.610', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '30873.084', 'prec': 30}], 'trace_zratio': 0, 'traces': [16, 6, 0, 974, 68, 0, -2343, -819, 0, -3479, -898, 0, -8172, 13315, 0, 3138, 44985, 0, -40137, -130657, 0, 109394, 2833, 0, 285746, 129420, 0, 112890, -144375, 0, -141759, 36224, 0, -341332, 78859, 0, -297971, -329075, 0, -203048, -659077, 0, -1431608, -254916, 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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

  
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-0.42504463330392633, -0.3360835858055091, -0.382822516147267, -0.1929662169771746, -0.28033440020983097, -0.3096046707486205, -0.3219327091043138, -0.2406749786231672, -0.27712094941743115, -0.30800514644572485, -0.3751194130553034, -0.3589793879360571, -0.3314839389905551, -0.23190610806174716, -0.29815471961912615, -0.26097256297410204, -0.3024081282984818], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 8, 'dual_embedding_m': 8, 'embedding_index': 8, 'embedding_m': 8, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.0588151781653679, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599761588755, 'label': '531.8.a.b.1.8', 'level': 531, 'weight': 8}
• mf_newspaces •

  Column	Type
  AL_dims	jsonb
  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_prime	boolean
  level_is_prime_power	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

  
  {'AL_dims': [[[[3, -1], [59, -1]], 54, 3], [[[3, 1], [59, -1]], 33, 1], [[[3, -1], [59, 1]], 48, 3], [[[3, 1], [59, 1]], 33, 1]], 'ALdims': [33, 33, 48, 54], 'Nk2': 33984, 'analytic_conductor': 165.87644853206865, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [531, 1, [119, 415], [1, 1]], 'conrey_index': 1, 'cusp_dim': 416, 'dim': 168, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134218259, 'hecke_orbit_dims': [14, 16, 17, 17, 18, 20, 33, 33], 'label': '531.8.a', 'level': 531, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 59], 'level_radical': 177, 'mf_dim': 424, 'mf_new_dim': 168, 'num_forms': 8, 'plus_dim': 87, 'prim_orbit_index': 1, 'relative_dim': 168, 'sturm_bound': 480, 'trace_bound': 2, 'trace_display': [6, 0, 640, 434], 'traces': [168, 6, 0, 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• 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: 34452432
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503599761588755, 'source_is_minimal': False, 'source_label': '531.8.a.b.1.8', 'source_level': 531, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503599761588755, 'target_is_minimal': False, 'target_label': '531.8.a.b.1.8', 'target_level': 531, 'twist_class_label': '177.8.a.a.1.9', 'twist_class_level': 177, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
  • id: 34452433
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503599761588755, 'source_is_minimal': False, 'source_label': '531.8.a.b.1.8', 'source_level': 531, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 134217905, 'target_is_minimal': True, 'target_label': '177.8.a.a.1.9', 'target_level': 177, 'twist_class_label': '177.8.a.a.1.9', 'twist_class_level': 177, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1015425
    {'charpoly_factorization': [[[-2385018853548032, 3193975642099712, -493048066650624, -494039551757568, 99470801612800, 16796366777600, -3353576629440, -226132003872, 42885295136, 1488374176, -269092298, -5107725, 890490, 8791, -1493, -6, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 2}
  • id: 1015426
    {'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4503599761588755, 'p': 3}
  • id: 1015427
    {'charpoly_factorization': [[[-253860017966634658260139912800000000, -214342453846947636124369412385000000, -5516902568949952326903607913750000, 39630581469309822528173782000000, 1104671921262870144692762836250, -1118106599364093225385376750, -71163746077534578929114125, -30422299140746425430220, 2057409054036379083329, 1276883506994508700, -30163601555694730, -12282106911840, 220666998180, 47355522, -765561, -68, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 5}
  • id: 1015428
    {'charpoly_factorization': [[[238267221168718591035928963735286975459578880, -20110307339577834608195498365094318384728576, -81384999812909376723586053793167373162416, 452307378629087800796854940212384151048, 1214975965878564179836747937604379453, -4067383086418999285229030435483435, -5259565610871975694595701727876, 15099092440739361079408568517, 10830352549757607877858328, -27327838363993445770171, -13028951743237034522, 25724670378028207, 10148751808072, -12238111473, -4790292, 2343, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 7}
  • id: 1015429
    {'charpoly_factorization': [[[-51867157957137101783885526237143307451921468585612791872, -57461778438725884002668317409985217566789313574461312, 72847137291750382475531731135402279047683758673708, 112436669488328851901327892486707941567153286300, 6307365244953201874028767130855076650506483, -40718621248551979958422527836383360612630, -9917928964045282402124372025301013068, 6201593970674160029961653153993282, 2038271876132033482489067436035, -460525073662112047044768860, -181696126454722316215828, 16194688134834128320, 7779298719542601, -220257477422, -148053196, 898, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 11}
  • id: 1015430
    {'charpoly_factorization': [[[2566787767777357411036057372803908743175702264948552497510800, -3151261641531024243715923636507138660843011679283864360680, -708386539088439723964032510903979003646104436993891290, 972295348839996121981098192782923014310402720444914, 158625279294069181208983887230926666878194311763, -83853768468475685907659913124268403149257166, -13179291346176294315774000395607452369418, 3191393600338657923559341833129655120, 490671986084119980479960496989763, -63055962569990464229730643428, -9383310560033889122576598, 674724832445519574706, 95656696630982041, -3704745067846, -492040454, 8172, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 13}
  • id: 1015431
    {'charpoly_factorization': [[[-41132731309327717623702047874221247825107869632828337950651739440, -11547481219297074419126496574313245600294692562965239694191712, 7468873648941769753544837103579546022294271116991480128792, 1023826598391824927303053811395751182833503802807889988, -526776018275536835602502092291894067763943284133127, -9718350351766535364829489484237096237214511433, 14555944733744205558162949241525095944659094, -747984325511206033018703278295956510667, -112016680381957915965869538619075392, 9256002184176897461266669150587, 285941674991788224116115308, -39583723838086637521649, 45590257642588608, 71095321312497, -1070737138, -44985, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 17}
  • id: 1015432
    {'charpoly_factorization': [[[-2395166904445764140200068902119431292356096170255517798514914880952320, -641402818932078305020642451542145441944988858843375633358898901760, 36794143375825240919213689818827032548321805213883960418195776, 16941118252730164745094552643033334936316711130651265891920, 7921673041924111529121086550546845664526489002823500, -151042189345160863963359702175404280365627491171420, -1875267236403092357984337038230884738833493313, 579626062589663644374757278027434142908889, 10152055178963368514813236328776965335, -1045539676007178272517511862110070, -21693536962790855353665533609, 867179209387878706923359, 19674435440125746613, -312748284754822, -7492545475, 40137, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 19}
  • id: 1015433
    {'charpoly_factorization': [[[1687580914191312586255494508189463382659641860075769996010680560337074362880, -297291724945772830023285366387290247406440346076365091208464810086636800, 17132962254173000206313864450839478835828818928022708311166266173536, -106024746154459573251183763203896098208028019845057607762001136, -25856705205261177782760894141825560969444310957707573749332, 822303601412170703017335735437396880677173619919803952, 5634355255833514774693630511877495513340016595003, -615740067554979790146390566196795108724511217, 5072761741931059749651979477021070519791, 164884690660074362510838381370073770, -2496043360073564358227345033469, -18735871783219825793931495, 433014617755635139605, 792812076231546, -33662419967, -2833, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 23}
  • id: 1015434
    {'charpoly_factorization': [[[-6795665516358967833463204971384548917445048966644644681464595292752594109632320, -1568044826117653100856936768841048437477203914915047144235729103664588821792, -141423098757716077636099980077170575529891613959723215383385076403840808, -6259835288333063616817098584453403308856199678172796536255795128016, -134707371488086337083598189884832966167511313574227796433411794, -834742277787080535281069535079384097999793057610460444096, 18217657847007117732704870348196291366649996224492341, 315211821712683973790067442143368975602879016631, 39687744654577460359517655236969951512169, -27913096252065195671596224339064893230, -105484634551975650572995804110063, 1103214680121331942334462585, 6016861277426876200651, -20469385938299166, -131675926081, 144375, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 29}
  • id: 1015435
    {'charpoly_factorization': [[[10304153239137874021651871751865248551514448926826500601811757403280932391951360, -1035653720413347170365400264231814329480524120908317510006398683790630283072, -21441263387122930597597680502678842639902646868925687787061770187537848, 1413580006399143499754030925311780482037216448625718012107066729776, 15966196986605245305492202898732791212226358808616091963354206, -651122071550968067323006107762368606362356812231096308348, -5413851550744674644056612715707922114457900493535195, 138290579202623211746760273567821692328692718951, 971030576145010303380132720069307812477265, -14926541766251743696418557505215143802, -95993606317918788195299102475855, 817982707447784881400968257, 5101858691510305159243, -20197683250020434, -128454996345, 141759, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 31}
  • id: 1015436
    {'charpoly_factorization': [[[-50561294771320550022792156347463974225001124286984748869226701728584226920259434312784, -1048435529131557731224971923660887033365179992051042849553561231334594834725205320, 65524636517951752153295623472164001434192864238323419527246670041279779375834, 1610006221672163755342969553827898009885084152466692032340610540153142416, 3133892449900023138607226212767521592160198816995212966685455825259, -77669952541134980653752527816795432121245075027130048923974987, -246400187620425944899897021548875197252243237691544214754, 1518576940883186681245397241109260747845239870842289, 5364069512121000857922649006895694163642635386, -15408918909151326565428343333406379142195, -56047132082425788263753211527887612, 85914351009211357168835235339, 310427011195223191823666, -250272440202312489, -878197839972, 297971, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 37}
  • id: 1015437
    {'charpoly_factorization': [[[-4564630660872700567031598251875544353195794112626551685231856649243107667337787531265200, 157055883209400754486904289001114281276975838786200476254279316391291240630689969120, 3718814659043552999632944498741385184938304194436756799853608859685564131298344, 13157194829906297266577338564945728823584869242188660313133842566792177404, -132582556861361860141888393632449322630680147834939129034501155455315, -863911329333158856157351928494499804195959991126630393799180571, 895426009040354769280080547782374736424538865877816633362, 14728956265390866918941252034887629990122014311211087, 8040278593565437588699231376001332784771810724, -113109519325649287539209016100385413921983, -127316027118959596526852125334834192, 441943279834809678067156712125, 610327129257456477423932, -858512390358027885, -1278569786638, 659077, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 41}
  • id: 1015438
    {'charpoly_factorization': [[[-10630133258684671893311821045462703960263888187132452810511065766013389981205089930957457408, -85328885543012186913811908724635884957812722240542683355863242696173400078694959213312, 378605700504782237647490922519650866548216901776850835147449908822584698795023248, 3324382818667592033346048698329501570511736784770549165040997402743430859368, -4845991661187522799831410277404137217444219953522552294493235454985083, -47517535870614964104862490791239547576528780102194022112172361016, 25098914078679885997903009077891035449324685156403660703086, 336634870850417192501819890316825481493884414375500104, -20029030679592139094441195165766896880733405801, -1302743795955360351522478053166304372365776, -300467615955222732909005722506900732, 2800036183737877790620139686616, 1209340644014043073139587, -3138661091232654520, -1825919654306, 1431608, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 43}
  • id: 1015439
    {'charpoly_factorization': [[[-82761124655581762205022722213999456296810148149146868380042324448773303670714162042198708224, 1839224076688959006948293967899092437052140792310076387516374476186765389009265932809728, 48962819044808958161251913476690033751271772167304893673476564805320061318770339456, -264353728316293282241614153109927738619498320262209634421235503504120559980320, -188287688922287718717122299159408371500673043027470463683664555980482968, 2213566578960843960925274740544523294609627182622821717904017408224, -350048193025228260426257907539218410020497510767482362689439, -7780877056782750629064437832970615231633782596059499497, 3192951123011321073228657987154139979214171739567, 14321294170540223419111625248786784525293906, -7368548273198294556149763359748237379, -14443593652750622140632403880327, 8232520530571873751063237, 7529304337576894050, -4570866681065, -1574073, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 47}
  • id: 1015440
    {'charpoly_factorization': [[[211538197012244585979431742367875085721712414564995239574619976278185199707355614502898139648, 10686314548711462548684526500317826414409869227302767588437530813540755128774463551095616, 127805148278409756865230046752945306369391060767655518873573259789413632655732137616, 338206757907030788036863715313387971035775066212616756579405635884227570938928, -1303702217933713031819060089508872055969790632223694161108946370641350662, -6194855291331267664793635005347182919515867036892658415883495824310, -510022550665972158837357883504798217319273002280362615279117, 22379917133694059211400636854372271975455225035556840432, 14633943811003548716953243011361701662729913864353, -32720932550341197567892076643961981226118820, -29270203756397846297711169561501260522, 21874257590915602289190377141944, 23426720921841704471089636, -6276448053670807446, -8103424856601, 587736, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 53}
  • id: 1015441
    {'charpoly_factorization': [[[205379, 1], 16]], 'hecke_orbit_code': 4503599761588755, 'p': 59}
  • id: 1015442
    {'charpoly_factorization': [[[-4518908459202271382713672823529972978610359523666141410315584230541924917500005890868004815686336, 1591424619481316114466583027833087654777472216544324683527655288777499260191837708271075872, 113984577011414317292090457674439854028308743095532493279133123479978268317730618279272, -113700183850407671218950854094814250932399765377932445865646192733604806501676424, -652553144935844231508674112820072233335277192852836899650868204990121753786, 394707130704831714664994363850324446730733272292872420234306076112392, 1650491201454591934880775644805062929338196061724023103300491641, -32582624435620974682760269877314192632007245508914100485, -1680480956684816518828567314775149049522328193464911, -495970233106201794593247828281055355207176350, 696448378682619861805828190997967648245, 351050861313762725685266597139565, -98105795746255545056242093, -82817544807912341990, -2914515679197, 6117131, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 61}
  • id: 1015443
    {'charpoly_factorization': [[[358344169601226879277584168917898862889322740443084372099790229838426980003280560951215940483872768, 7164555924480946364714980136103131280112816344651458688532353679198944770048052565076817398784, 20595432491624712152688542420235462289795351280826824782617911266281367526923502569626368, 6375778317789929086371461709039402453743364813568840846492365364911157062862986112, -49387393101458076614679401488503664271315121341095731553053901603410139939256, -75142257899906764431428196644832598956166795533757481726410150206355268, -24835738407609832317637697264643662159561589610868986138475458895, 32472700269683461944821696360870160928160949094211212626694, 33923309857394635562598333180489828822991397580827805, 7291622166215262819504721638644361932990742128, -5601045877246224748217368339088232098286, -3856499732559294077410253095162412, -641791685210935268748858150, 185371024444322159684, 99098156876413, 16518710, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 67}
  • id: 1015444
    {'charpoly_factorization': [[[-74912836563458186191659414658134973922070639171533109500293169276395250434924114440472874660475667061048, 115144685242402593552084970743304453021747989776580669762348614688713561642021639187876097558218872, 61072598752764114622637660340071171908998183040592090162803198786250133403154959786880868822, -102471711222361757407493287037250556008706235190920220635810706144822139587845711339974, -20189370102239142826339398389700675549357586165188445556929870312463806806615663, 35141861852965621167993630842448198402061017225714837980852182924724344188, 3366981645260948659413918768823947580535920798999411765866525945128, -6016961773951871113137848172949367767462555394157398560851370, -248963474883915255070819338826012054760947752853385945, 572378348742995753757078154663149446159306370656, 260217102517585405381427976259131468926, -30998318193213011538711213295648698, 1071844376272706130669634207, 899223994401946999020, -58727757650844, -10882582, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 71}
  • id: 1015445
    {'charpoly_factorization': [[[-69655689546038359635467946321778893862646675451105886872751676242854728423762876945238803234756569600, -88118419498557121978405320358593908400388496572930162842059918461287530486537794105344064068160, 294553968922019977631951226645818976133885158816915888310823015867704470730526251616634256, 583690786490254833292231329837775814279602413329606386060084538990503799859843722288, 25486213513081438922569487822369221039318717149723965334618996880002422663192, -622382680942526388872161201453423940274608527872519229681294417011920412, -439514992998227307223814936065207373950653727274520499753557295611, 45893879047369305176128535875483012163804390897547984752017, 161771779646973654818839793137749072619087906731572127, 49408620133789147938704840538502787493189370954, -12528474522628935717557190817976996409999, -10149372441049525801688912984961977, -1426595749310551495130508075, 387355706187614278874, 160731807982939, 21097441, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 73}
  • id: 1015446
    {'charpoly_factorization': [[[-493316074874169090991035282490008361505672171776566508150355034917432315470497948952165445708163545481216, -852777057757170374160538794710408857233651304402370171946524493431217302556454279754017390560903168, -25296600873770030110353115903299177932106599215481104475515692963381332976230546509460345088, 580650237337135216380379914336261212523659688036976135175850448416413757145399238945184, 161913863718441185497295976233108851937251028381315865184628775281950995804181067, -139970190151490006305759161438645100927944271876533677391287633595021558858, -48674650303137744015496065056455372118190294563128435187425277051288, 15352109023222541773523566837477484939343210615672693733401202, 5766588006695660789207378957629788107020909088073034355, -897534133165763947195103091297803073019944210404, -340992500149138835866105252520452674243512, 29593019120194357195986874636607108, 10606528273607193002151514881, -523706252309549544818, -164311559623024, 3784458, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 79}
  • id: 1015447
    {'charpoly_factorization': [[[-9138996207804914637546884187106570105140273127072619307918560055544143913695753885090446655867566851030272, 17184878356612199297421998987382671223884676325329886987695956668177605785699499654029931495585824256, -660625823701905305599773197346114826674679643928556844240434812828300261635095081765781333344, -8172841004823756546581526995336983178244975039297962962681127109530337340887871970942448, 1485775313471163798990656746431128285500409517575483218615097122727287229062911307, 1394163255582064384580351521405519393531093623555142107392370147820238449251, -309834548555338937071123473218619421876712329668771790608951461863124, -110977119421387158370021381481304234587266304567699798261757487, 27205658640952716435200123389401232357043823722483413330, 4353175839137908567359424563822831485208263473103, -1174385408454492806379639426089664052643098, -80960182041362320585061831470846181, 25109143015744591050649131782, 674046611789871967661, -256440516265952, -1951425, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 83}
  • id: 1015448
    {'charpoly_factorization': [[[38042332027674519347997346760935459281551483076158111078501482587853952896947992090762114081746619930306560, -54307330334552437326609541813258502423105138537266364752323915463824600105349022911228186752236716928, -45039358272669364261106064507557347660008073501091064628777584170894300871744258568433088468448, 25643347008173667308228863206143105696156793908978295921969462324874513031043812385088256, 10930255653901270078307695511303973832154756370798562816883842072896053188219890324, -3986271709442562862188621910333153481615173582255201518942121603573020692216, -1132048162221546128068563882700734350891059244147912633272632670991205, 297631833782970484195856049148179009659037191403258984743986139, 61024678418010755597715116448427142381932628526382400375, -11888416805314627488209543504158062814154771706766, -1842054941557280554009247096945195684593189, 255070080701333536768957421210866429, 31377035457530894688081329509, -2690351845333988706790, -281604197712695, 10499443, 1], 1]], 'hecke_orbit_code': 4503599761588755, 'p': 89}
  • id: 1015449
    {'charpoly_factorization': [[[16917421357347321224147443826850492982366631905098367489867856868906873593226728196459243874554771814644480, 71322978684801364700775169192868219268429873375589305696068895513235178989335751252741658870013621120, -402315536675915290333717338271321444993270113082405763442895671066909459248871281153888256537424, -656629257009644747110876928938153781821393117797893742445510107177675595750484795959280560, -249459793245179345535494681273679214050502144295772005328815452989311936939429537592, 39113139306050448784162761860966649156840487273126547243434687493788744603836, 34896420729251499501862475788179435460327709963876051970268679551711031, 2367030389973326602603864387552678845652492917236502404724010080, -1190509229324406707547665362035499607464322518487143582891, -160880647575985885661442697336932082352900278364840, 10618463392232672017157421698161508048161238, 2425436289783031687875534387502210416, 6750430612573593866284444402, -13467082217250523591412, -372261609039309, 25158976, 1], 1]], 'hecke_orbit_code': 4503599761588755, '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': 1, 'hecke_orbit': 2, 'label': '531.8.a.b', 'level': 531, 'portrait': 'data:image/png;base64,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', 'weight': 8}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 76193000
    {'hecke_orbit_code': 4503599761588755, 'n': 1, 'trace_an': 16}
  • id: 76193001
    {'hecke_orbit_code': 4503599761588755, 'n': 2, 'trace_an': 6}
  • id: 76193002
    {'hecke_orbit_code': 4503599761588755, 'n': 3, 'trace_an': 0}
  • id: 76193003
    {'hecke_orbit_code': 4503599761588755, 'n': 4, 'trace_an': 974}
  • id: 76193004
    {'hecke_orbit_code': 4503599761588755, 'n': 5, 'trace_an': 68}
  • id: 76193005
    {'hecke_orbit_code': 4503599761588755, 'n': 6, 'trace_an': 0}
  • id: 76193006
    {'hecke_orbit_code': 4503599761588755, 'n': 7, 'trace_an': -2343}
  • id: 76193007
    {'hecke_orbit_code': 4503599761588755, 'n': 8, 'trace_an': -819}
  • id: 76193008
    {'hecke_orbit_code': 4503599761588755, 'n': 9, 'trace_an': 0}
  • id: 76193009
    {'hecke_orbit_code': 4503599761588755, 'n': 10, 'trace_an': -3479}
  • id: 76193010
    {'hecke_orbit_code': 4503599761588755, 'n': 11, 'trace_an': -898}
  • id: 76193011
    {'hecke_orbit_code': 4503599761588755, 'n': 12, 'trace_an': 0}
  • id: 76193012
    {'hecke_orbit_code': 4503599761588755, 'n': 13, 'trace_an': -8172}
  • id: 76193013
    {'hecke_orbit_code': 4503599761588755, 'n': 14, 'trace_an': 13315}
  • id: 76193014
    {'hecke_orbit_code': 4503599761588755, 'n': 15, 'trace_an': 0}
  • id: 76193015
    {'hecke_orbit_code': 4503599761588755, 'n': 16, 'trace_an': 3138}
  • id: 76193016
    {'hecke_orbit_code': 4503599761588755, 'n': 17, 'trace_an': 44985}
  • id: 76193017
    {'hecke_orbit_code': 4503599761588755, 'n': 18, 'trace_an': 0}
  • id: 76193018
    {'hecke_orbit_code': 4503599761588755, 'n': 19, 'trace_an': -40137}
  • id: 76193019
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  • id: 76193981
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  • id: 76193993
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  • id: 76193996
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    {'hecke_orbit_code': 4503599761588755, 'n': 999, 'trace_an': 0}
  • id: 76193999
    {'hecke_orbit_code': 4503599761588755, 'n': 1000, 'trace_an': -90988816622}