Lfunction data - 24-770e12-1.1-c1e12-0-0

Formats: - HTML - YAML - JSON - 2024-06-14T22:04:37.247423

• lfunc_lfunctions •

  Column	Type
  A10	numeric
  A2	numeric
  A3	numeric
  A4	numeric
  A5	numeric
  A6	numeric
  A7	numeric
  A8	numeric
  A9	numeric
  Lhash	text
  a10	jsonb
  a2	jsonb
  a3	jsonb
  a4	jsonb
  a5	jsonb
  a6	jsonb
  a7	jsonb
  a8	jsonb
  a9	jsonb
  accuracy	smallint
  algebraic	boolean
  analytic_conductor	double precision
  analytic_normalization	numeric
  bad_lfactors	jsonb
  bad_primes	bigint[]
  central_character	text
  coeff_info	jsonb
  coefficient_field	text
  conductor	numeric
  conductor_radical	integer
  conjugate	text
  credit	text
  degree	smallint
  dirichlet_coefficients	jsonb
  euler_factors	jsonb
  euler_factors_factorization	jsonb
  gamma_factors	jsonb
  group	text
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  label	text
  leading_term	text
  load_key	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  origin	text
  plot_delta	numeric
  plot_values	jsonb
  positive_zeros	jsonb
  precision	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  root_number	text
  self_dual	boolean
  sign_arg	numeric
  spectral_label	text
  st_group	text
  symmetry_type	text
  trace_hash	bigint
  types	jsonb
  values	jsonb
  z1	numeric
  z2	numeric
  z3	numeric

  
  {'Lhash': '44032425755730149440380487656,439881457387830920985629971485,721245335180971066114227789464,975857964544099797144892051161,1306434966589417130934441335713,1504690479816012423702111257474,1580575603563067662044043702436,1615714645564495775000989057607,1840026127350912856478170651585,2073605962826212108390883081006,2127163973487890222001619160939,2689895263000986341323435486300', 'a10': 9, 'a2': -3, 'a3': -2, 'a4': 3, 'a5': -3, 'a6': 6, 'a7': 3, 'a8': -1, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2918864847.2794695, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1]], [5, [1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1]], [7, [1, -3, 6, -10, 15, -18, 19, -18, 15, -10, 6, -3, 1]], [11, [1, -7, -4, 220, -695, -1562, 13739, -17182, -84095, 292820, -58564, -1127357, 1771561]]], 'bad_primes': [2, 5, 7, 11], 'central_character': '770.1', 'coefficient_field': '1.1.1.1', 'conductor': 43439888521963583647921000000000000, 'conductor_radical': 770, 'degree': 24, 'euler_factors': [[1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1], [1, 2, 1, 0, 6, 14, 20, 56, 107, 138, 212, 326, 313, 978, 1908, 3726, 8667, 13608, 14580, 30618, 39366, 0, 59049, 354294, 531441], [1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1], [1, -3, 6, -10, 15, -18, 19, -18, 15, -10, 6, -3, 1], [1, -7, -4, 220, -695, -1562, 13739, -17182, -84095, 292820, -58564, -1127357, 1771561], [1, -8, 21, 42, -486, 1866, -2498, -10934, 85995, -327082, 386802, 3579460, -22542989, 46532980, 65369538, -718599154, 2456103195, -4059717662, -12057368882, 117088732722, -396445130406, 445388973666, 2895028328829, -14337283152296, 23298085122481], [1, -8, 41, -208, 812, -6652, 41444, -189394, 864509, -3069944, 15199408, -81515376, 336294327, -1385761392, 4392628912, -15082634872, 72204656189, -268912396658, 1000357409636, -2729572852796, 5664315042092, -24666278311376, 82655749918409, -274175170461064, 582622237229761], [1, -11, 10, 210, -408, 1767, -14057, -93088, 521625, 156095, 3588567, 2829109, -221700260, 53753071, 1295472687, 1070655605, 67978691625, -230495103712, -661323949217, 1579471362813, -6929293720728, 67764416533590, 61310662578010, -1281392847880409, 2213314919066161], [1, 20, 360, 4276, 46650, 411100, 3396424, 24296380, 165078895, 1001669832, 5810743760, 30511195400, 153518585324, 701757494200, 3073883449040, 12187316845944, 46195843055695, 156379835338340, 502792646260936, 1399723741261700, 3653207463358650, 7701728780415788, 14913544036913640, 19056195158278540, 21914624432020321], [1, -20, 189, -1128, 3582, -2484, 47892, -1153090, 11650101, -71869918, 277829974, -648945544, 1490096163, -18819420776, 233655008134, -1752835430102, 8239895085381, -23651200800410, 28487278489332, -42848692751556, 1791882651226302, -16364060660780232, 79513667093737989, -244010195314116580, 353814783205469041], [1, -2, -79, 192, 3444, -15650, -93466, 742338, 1523975, -21358522, 14646260, 265788304, -1401776209, 8239437424, 14075055860, -636291728902, 1407422915975, 21252506695038, -82951419048346, -430572410837150, 2937356732946804, 5076407454848832, -64750634671483279, -50816953792809662, 787662783788549761], [1, 4, -113, -536, 5428, 50540, -46384, -3118282, -10205503, 115102634, 823282836, -1820298216, -38006571801, -67351033992, 1127074202484, 5830293720002, -19126755707983, -216234012921874, -119008653755056, 4797857070301820, 19065738475883188, -69659492530161272, -543370034083216937, 711670487117841652, 6582952005840035281], [1, 14, 203, 2022, 22624, 184464, 1615224, 11600134, 93464665, 608433988, 4439354948, 27553746668, 195101215931, 1129703613388, 7462555667588, 41933878886948, 264108805235065, 1343947456330934, 7672482372564984, 35925152377184784, 180650948383633504, 661966271344589142, 2724799839960937403, 7704606444027478174, 22563490300366186081], [1, 38, 1033, 20516, 339382, 4756150, 58586138, 640648326, 6315527035, 56412479246, 460064003146, 3431630347430, 23497227992675, 147560104939490, 850658341816954, 4485186987411722, 21591530142785035, 94180712915816418, 370344247936814762, 1292810087216558050, 3966764786612782582, 10311190026496270988, 22324661229622629217, 35313162099906462866, 39959630797262576401], [1, 10, -9, -282, 3858, 24576, -241614, -1088824, 16561167, 45852872, -786550898, 974387732, 61239406419, 45796223404, -1737490933682, 4760582729656, 80813211947727, -249716347901768, -2604409332501006, 12450769808498688, 91863943941073938, -315594793414980294, -473392190122470441, 24721592150840123030, 116191483108948578241], [1, -8, -147, 1524, 1782, -80880, 992028, -4590856, -61015695, 736489784, -1583635154, -22887937510, 268675624335, -1213060688030, -4448431147586, 109646389572568, -481443182099295, -1919875288212008, 21987666842079612, -95010636990016560, 110946768313045302, 5028839713906450692, -25708458143730418203, -74152287434977532776, 491258904256726154641], [1, 11, -2, -934, -6584, -17191, 184103, 1724484, 4252081, -46091339, -4038141, 1064076711, 17281503340, 62780525949, -14056768821, -9466193112481, 51524000478241, 1232875514836716, 7765562784909023, -42782407675523429, -966731601186849464, -8091238094623713026, -1022233506601282802, 331714772892116269249, 1779197418239532716881], [1, 34, 623, 8472, 92344, 866074, 7467144, 60252694, 465927965, 3515853378, 25950424088, 193450691428, 1489856071591, 11800492177108, 96561528031448, 798031915591818, 6451164520843565, 50889202477684894, 384710054287494984, 2721847858964051554, 17703020111420916664, 99072805698490842552, 444412633965975860423, 1479473198788818514474, 2654348974297586158321], [1, 54, 1877, 46692, 942522, 15908750, 234586522, 3065617042, 36296734055, 391761176398, 3898385932234, 35779298048350, 304533861362955, 2397212969239450, 17499854449798426, 117827266696991674, 731419879847125655, 4138966536851273494, 21220317258772526218, 96418345751182276250, 382727719586040388602, 1270327504031803665324, 3421466559143656239773, 6595027176868272922482, 8182718904632857144561], [1, -18, 291, -3004, 31406, -320202, 3428968, -36151926, 361259877, -3434626866, 29435587546, -249445830364, 1997231375803, -17710653955844, 148384796819386, -1229290736236926, 9180220752423237, -65226365984380026, 439251774356023528, -2912275664957114982, 20280535402304369966, -137728896158220889124, 947275873343875429491, -4160201258190628174878, 16409682740640811134241], [1, -24, 1, 4450, -28776, -331874, 4749108, -2202364, -328312807, 2042899906, 5666654576, -91393396742, 415318170835, -6671717962166, 30197602235504, 794722792732402, -9323506216572487, -4565658245845852, 718702584742900212, -3666344336126797778, -23206695604344074856, 261978560851792212850, 4297625829703557649, -7529440453640633001048, 22902048046490258711521], [1, -2, 37, 358, -924, 30264, -147962, 2045204, -15791209, -313560672, -188508940, -16891597742, -78184020885, -1334436221618, -1176484294540, -154597640162208, -615068869637929, 6293208055460396, -35967706093798202, 581187101557115976, -1401808540353662364, 42906871361777358202, 350326215057193346437, -1495987621055041857758, 59091511031674153381441], [1, -33, 458, -3422, 10378, 37195, -385151, 6287456, -150583523, 1988086837, -11566884811, -35185377927, 973893245584, -2920386367941, -79684269462979, 1136762208267719, -7146441171844883, 24766544725074208, -125921411743443719, 1009325416559176265, 23374288785138967498, -639709553525523259066, 7106346863740280879642, -42498436811756832596811, 106890007738661124410161], [1, -2, 325, 604, 43574, 512358, 3551162, 103163642, 493417959, 9815917174, 101883216598, 594752989034, 12501196978223, 52933016024026, 807016958672758, 6919917314237606, 30958148497306119, 576071909903353258, 1764861075171646682, 22662278284403447382, 171532920619662477494, 211615267839321066236, 10134058977239009670325, -5550346147533980680978, 246990403565262140303521], [1, 1, -426, -270, 73556, -173473, -4987855, 77280082, -246776083, 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5887136605437551558496, -940741465540885344343, -332216128973866938745128, 1425760886846178945447841], [1, 8, -183, -976, 13966, -216580, -1499276, 47514870, 60665915, -3092065524, 45902127996, 53855741284, -8752734389643, 5762564317388, 525533463426204, -3787913225717532, 7952063932499915, 666420631524855090, -2250008998998761324, -34778015217569836940, 239961881875325961166, -1794336191322070798832, -35998869838399045401567, 168388156183986791605144, 2252191588960823337718801], [1, 88, 4308, 148076, 3966866, 87590900, 1657399632, 27638980144, 415004361207, 5693597009096, 72010410293100, 842874299362144, 9141573850248508, 91873298630473696, 855555684692321100, 7373373241092583784, 58581252434959860327, 425259969385638515056, 2779625106535032610512, 16011959182754261212100, 79042289961910055749586, 321605269246699405085564, 1019860271014284104411508, 2270775236668758850862392, 2812664781782894485727281], [1, -47, 856, -8582, 105134, -1995581, 27514067, -279391846, 3207765645, -43378645063, 523069643877, -5560707306545, 58138033125176, -628359925639585, 6679076282665413, -62590916825467511, 523017723123712845, -5147613658799679878, 57282960012051450803, -469481479727823953677, 2794928717770248324014, -25780687911780990318886, 290574968577342301510744, -1802854740787692714163039, 4334523100191686738306881]], 'euler_factors_factorization': [[[[1, 1, 1, 1, 1], 3]], [[[1, 2, 1, 0, 6, 14, 20, 56, 107, 138, 212, 326, 313, 978, 1908, 3726, 8667, 13608, 14580, 30618, 39366, 0, 59049, 354294, 531441], 1]], [[[1, 1, 1, 1, 1], 3]], [[[1, -1, 1, -1, 1], 3]], [[[1, -7, -4, 220, -695, -1562, 13739, -17182, -84095, 292820, -58564, -1127357, 1771561], 1]], [[[1, -8, 21, 42, -486, 1866, -2498, -10934, 85995, -327082, 386802, 3579460, -22542989, 46532980, 65369538, -718599154, 2456103195, -4059717662, -12057368882, 117088732722, -396445130406, 445388973666, 2895028328829, -14337283152296, 23298085122481], 1]], [[[1, -8, 41, -208, 812, -6652, 41444, -189394, 864509, -3069944, 15199408, -81515376, 336294327, -1385761392, 4392628912, -15082634872, 72204656189, -268912396658, 1000357409636, -2729572852796, 5664315042092, -24666278311376, 82655749918409, -274175170461064, 582622237229761], 1]], [[[1, -11, 10, 210, -408, 1767, -14057, -93088, 521625, 156095, 3588567, 2829109, -221700260, 53753071, 1295472687, 1070655605, 67978691625, -230495103712, -661323949217, 1579471362813, -6929293720728, 67764416533590, 61310662578010, -1281392847880409, 2213314919066161], 1]], [[[1, 10, 130, 838, 6495, 31660, 186140, 728180, 3435855, 10195946, 36379330, 64363430, 148035889], 2]], [[[1, -20, 189, -1128, 3582, -2484, 47892, -1153090, 11650101, -71869918, 277829974, -648945544, 1490096163, -18819420776, 233655008134, -1752835430102, 8239895085381, -23651200800410, 28487278489332, -42848692751556, 1791882651226302, -16364060660780232, 79513667093737989, -244010195314116580, 353814783205469041], 1]], [[[1, -2, -79, 192, 3444, -15650, -93466, 742338, 1523975, -21358522, 14646260, 265788304, -1401776209, 8239437424, 14075055860, -636291728902, 1407422915975, 21252506695038, -82951419048346, -430572410837150, 2937356732946804, 5076407454848832, -64750634671483279, -50816953792809662, 787662783788549761], 1]], [[[1, 4, -113, -536, 5428, 50540, -46384, -3118282, -10205503, 115102634, 823282836, -1820298216, -38006571801, -67351033992, 1127074202484, 5830293720002, -19126755707983, -216234012921874, -119008653755056, 4797857070301820, 19065738475883188, -69659492530161272, -543370034083216937, 711670487117841652, 6582952005840035281], 1]], [[[1, 14, 203, 2022, 22624, 184464, 1615224, 11600134, 93464665, 608433988, 4439354948, 27553746668, 195101215931, 1129703613388, 7462555667588, 41933878886948, 264108805235065, 1343947456330934, 7672482372564984, 35925152377184784, 180650948383633504, 661966271344589142, 2724799839960937403, 7704606444027478174, 22563490300366186081], 1]], [[[1, 19, 336, 3874, 39637, 323308, 2328247, 13902244, 73288813, 308010118, 1148717136, 2793160417, 6321363049], 2]], [[[1, 10, -9, -282, 3858, 24576, -241614, -1088824, 16561167, 45852872, -786550898, 974387732, 61239406419, 45796223404, -1737490933682, 4760582729656, 80813211947727, -249716347901768, -2604409332501006, 12450769808498688, 91863943941073938, -315594793414980294, -473392190122470441, 24721592150840123030, 116191483108948578241], 1]], [[[1, -8, -147, 1524, 1782, -80880, 992028, -4590856, -61015695, 736489784, -1583635154, -22887937510, 268675624335, -1213060688030, -4448431147586, 109646389572568, -481443182099295, -1919875288212008, 21987666842079612, -95010636990016560, 110946768313045302, 5028839713906450692, -25708458143730418203, -74152287434977532776, 491258904256726154641], 1]], [[[1, 11, -2, -934, -6584, -17191, 184103, 1724484, 4252081, -46091339, -4038141, 1064076711, 17281503340, 62780525949, -14056768821, -9466193112481, 51524000478241, 1232875514836716, 7765562784909023, -42782407675523429, -966731601186849464, -8091238094623713026, 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'8.297346412579992114730592179492344', '8.312259015858682032160683848234633', '8.329782095902105776617852714423577', '8.516118738409210083437504735403767', '8.527834986555090303136608669661587', '8.671332711441415559455362628783286', '8.736998052058646312560450529787208', '8.801845781926049605090020262559829', '8.840934841322022379157597807393662', '8.893613921067464103728400183334619', '9.045603028295012499078034062011979', '9.064506399845392821183642346727154', '9.238356459418872421466099902536191', '9.248418629214397001774078835312351', '9.275273648704004658615983703555253', '9.383905801796632428744147364110992', '9.452622203682154867318725587923311', '9.492078430548626779726228193480624', '9.564539792248786051787959871192429', '9.662513694856761766546400907962780', '9.665059228039847695109473619753467', '9.939515402813418303724739508854347', '9.982392713190046644907308852459995', '10.00149819362455504154633216175874', '10.02147156677982325467685461547389', '10.03052291691598207682857241415820', '10.03357437078752074244854758782369', '10.13601122161295235634743040774329', '10.21363746194744358706885477098760', '10.22570068492398595735015702445158', '10.28985924044873467654113194212060', '10.45445524755529956463736866580948', '10.63763434575932441819853556425674', '10.64832353630089841734944689868575', '10.84725678143725965598245162196367'], 'prelabel': '24-770e12-1.1-c1e12-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.4796130657097675, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e12-0', 'trace_hash': 1637689942361398087, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.03473545924074228053625561194', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.34700528466490223138013440953', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.56896224799729290766681829142', 'prec': 103}}
• lfunc_search •

  Column	Type
  algebraic	boolean
  analytic_conductor	double precision
  bad_primes	bigint[]
  central_character	text
  conductor	numeric
  conductor_radical	bigint
  degree	smallint
  dirichlet_coefficients	numeric[]
  euler11	numeric[]
  euler13	numeric[]
  euler17	numeric[]
  euler19	numeric[]
  euler2	numeric[]
  euler23	numeric[]
  euler29	numeric[]
  euler3	numeric[]
  euler31	numeric[]
  euler37	numeric[]
  euler41	numeric[]
  euler43	numeric[]
  euler47	numeric[]
  euler5	numeric[]
  euler53	numeric[]
  euler59	numeric[]
  euler61	numeric[]
  euler67	numeric[]
  euler7	numeric[]
  euler71	numeric[]
  euler73	numeric[]
  euler79	numeric[]
  euler83	numeric[]
  euler89	numeric[]
  euler97	numeric[]
  euler_factors	numeric[]
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  is_instance_Artin	boolean
  is_instance_BMF	boolean
  is_instance_CMF	boolean
  is_instance_DIR	boolean
  is_instance_ECNF	boolean
  is_instance_ECQ	boolean
  is_instance_G2Q	boolean
  is_instance_HMF	boolean
  is_instance_MaassGL3	boolean
  is_instance_MaassGL4	boolean
  is_instance_MaassGSp4	boolean
  is_instance_NF	boolean
  label	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  self_dual	boolean
  spectral_label	text
  trace_hash	bigint
  z1	numeric

  
  {'algebraic': True, 'analytic_conductor': 2918864847.2794695, 'bad_primes': [2, 5, 7, 11], 'central_character': '1.1', 'conductor': 43439888521963583647921000000000000, 'conductor_radical': 770, 'degree': 24, 'dirichlet_coefficients': [1, -3, -2, 3, -3, 6, 3, -1, 3, 9, 7, -6, 8, -9, 6, 0, 8, -9, 11, -9, -6, -21, -20, 2, 3, -24, -4, 9, 20, -18, 2, 3, -14, -24, -9, 9, -4, -33, -16, 3, -14, 18, -38, 21, -9, 60, -10, 0, 3, -9, -16, 24, 8, 12, -21, -3, -22, -60, -11, 18, -34, -6, 9, -9, -24, 42, -54, 24, 40, 27, 18, -3, 24, 12, -6, 33, 21, 48, 2, 0, -1, 42, 33, -18, -24, 114, -40, -7, 2, 27, 24, -60, -4, 30, -33, -6, -1, -9, 21, 9], 'euler11': [1, -7, -4, 220, -695, -1562, 13739, -17182, -84095, 292820, -58564, -1127357, 1771561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, -8, 21, 42, -486, 1866, -2498, -10934, 85995, -327082, 386802, 3579460, -22542989, 46532980, 65369538, -718599154, 2456103195, -4059717662, -12057368882, 117088732722, -396445130406, 445388973666, 2895028328829, -14337283152296, 23298085122481], 'euler17': [1, -8, 41, -208, 812, -6652, 41444, -189394, 864509, -3069944, 15199408, -81515376, 336294327, -1385761392, 4392628912, -15082634872, 72204656189, -268912396658, 1000357409636, -2729572852796, 5664315042092, -24666278311376, 82655749918409, -274175170461064, 582622237229761], 'euler19': [1, -11, 10, 210, -408, 1767, -14057, -93088, 521625, 156095, 3588567, 2829109, -221700260, 53753071, 1295472687, 1070655605, 67978691625, -230495103712, -661323949217, 1579471362813, -6929293720728, 67764416533590, 61310662578010, -1281392847880409, 2213314919066161], 'euler2': [1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 20, 360, 4276, 46650, 411100, 3396424, 24296380, 165078895, 1001669832, 5810743760, 30511195400, 153518585324, 701757494200, 3073883449040, 12187316845944, 46195843055695, 156379835338340, 502792646260936, 1399723741261700, 3653207463358650, 7701728780415788, 14913544036913640, 19056195158278540, 21914624432020321], 'euler29': [1, -20, 189, -1128, 3582, -2484, 47892, -1153090, 11650101, -71869918, 277829974, -648945544, 1490096163, -18819420776, 233655008134, -1752835430102, 8239895085381, -23651200800410, 28487278489332, -42848692751556, 1791882651226302, -16364060660780232, 79513667093737989, -244010195314116580, 353814783205469041], 'euler3': [1, 2, 1, 0, 6, 14, 20, 56, 107, 138, 212, 326, 313, 978, 1908, 3726, 8667, 13608, 14580, 30618, 39366, 0, 59049, 354294, 531441], 'euler31': [1, -2, -79, 192, 3444, -15650, -93466, 742338, 1523975, -21358522, 14646260, 265788304, -1401776209, 8239437424, 14075055860, -636291728902, 1407422915975, 21252506695038, -82951419048346, -430572410837150, 2937356732946804, 5076407454848832, -64750634671483279, -50816953792809662, 787662783788549761], 'euler37': [1, 4, -113, -536, 5428, 50540, -46384, -3118282, -10205503, 115102634, 823282836, -1820298216, -38006571801, -67351033992, 1127074202484, 5830293720002, -19126755707983, -216234012921874, -119008653755056, 4797857070301820, 19065738475883188, -69659492530161272, -543370034083216937, 711670487117841652, 6582952005840035281], 'euler41': [1, 14, 203, 2022, 22624, 184464, 1615224, 11600134, 93464665, 608433988, 4439354948, 27553746668, 195101215931, 1129703613388, 7462555667588, 41933878886948, 264108805235065, 1343947456330934, 7672482372564984, 35925152377184784, 180650948383633504, 661966271344589142, 2724799839960937403, 7704606444027478174, 22563490300366186081], 'euler43': [1, 38, 1033, 20516, 339382, 4756150, 58586138, 640648326, 6315527035, 56412479246, 460064003146, 3431630347430, 23497227992675, 147560104939490, 850658341816954, 4485186987411722, 21591530142785035, 94180712915816418, 370344247936814762, 1292810087216558050, 3966764786612782582, 10311190026496270988, 22324661229622629217, 35313162099906462866, 39959630797262576401], 'euler47': [1, 10, -9, -282, 3858, 24576, -241614, -1088824, 16561167, 45852872, -786550898, 974387732, 61239406419, 45796223404, -1737490933682, 4760582729656, 80813211947727, -249716347901768, -2604409332501006, 12450769808498688, 91863943941073938, -315594793414980294, -473392190122470441, 24721592150840123030, 116191483108948578241], 'euler5': [1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, -8, -147, 1524, 1782, -80880, 992028, -4590856, -61015695, 736489784, -1583635154, -22887937510, 268675624335, -1213060688030, -4448431147586, 109646389572568, -481443182099295, -1919875288212008, 21987666842079612, -95010636990016560, 110946768313045302, 5028839713906450692, -25708458143730418203, -74152287434977532776, 491258904256726154641], 'euler59': [1, 11, -2, -934, -6584, -17191, 184103, 1724484, 4252081, -46091339, -4038141, 1064076711, 17281503340, 62780525949, -14056768821, -9466193112481, 51524000478241, 1232875514836716, 7765562784909023, -42782407675523429, -966731601186849464, -8091238094623713026, -1022233506601282802, 331714772892116269249, 1779197418239532716881], 'euler61': [1, 34, 623, 8472, 92344, 866074, 7467144, 60252694, 465927965, 3515853378, 25950424088, 193450691428, 1489856071591, 11800492177108, 96561528031448, 798031915591818, 6451164520843565, 50889202477684894, 384710054287494984, 2721847858964051554, 17703020111420916664, 99072805698490842552, 444412633965975860423, 1479473198788818514474, 2654348974297586158321], 'euler67': [1, 54, 1877, 46692, 942522, 15908750, 234586522, 3065617042, 36296734055, 391761176398, 3898385932234, 35779298048350, 304533861362955, 2397212969239450, 17499854449798426, 117827266696991674, 731419879847125655, 4138966536851273494, 21220317258772526218, 96418345751182276250, 382727719586040388602, 1270327504031803665324, 3421466559143656239773, 6595027176868272922482, 8182718904632857144561], 'euler7': [1, -3, 6, -10, 15, -18, 19, -18, 15, -10, 6, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, -18, 291, -3004, 31406, -320202, 3428968, -36151926, 361259877, -3434626866, 29435587546, -249445830364, 1997231375803, -17710653955844, 148384796819386, -1229290736236926, 9180220752423237, -65226365984380026, 439251774356023528, -2912275664957114982, 20280535402304369966, -137728896158220889124, 947275873343875429491, -4160201258190628174878, 16409682740640811134241], 'euler73': [1, -24, 1, 4450, -28776, -331874, 4749108, -2202364, -328312807, 2042899906, 5666654576, -91393396742, 415318170835, -6671717962166, 30197602235504, 794722792732402, -9323506216572487, -4565658245845852, 718702584742900212, -3666344336126797778, -23206695604344074856, 261978560851792212850, 4297625829703557649, -7529440453640633001048, 22902048046490258711521], 'euler79': [1, -2, 37, 358, -924, 30264, -147962, 2045204, -15791209, -313560672, -188508940, -16891597742, -78184020885, -1334436221618, -1176484294540, -154597640162208, -615068869637929, 6293208055460396, -35967706093798202, 581187101557115976, -1401808540353662364, 42906871361777358202, 350326215057193346437, -1495987621055041857758, 59091511031674153381441], 'euler83': [1, -33, 458, -3422, 10378, 37195, -385151, 6287456, -150583523, 1988086837, -11566884811, -35185377927, 973893245584, -2920386367941, -79684269462979, 1136762208267719, -7146441171844883, 24766544725074208, -125921411743443719, 1009325416559176265, 23374288785138967498, -639709553525523259066, 7106346863740280879642, -42498436811756832596811, 106890007738661124410161], 'euler89': [1, -2, 325, 604, 43574, 512358, 3551162, 103163642, 493417959, 9815917174, 101883216598, 594752989034, 12501196978223, 52933016024026, 807016958672758, 6919917314237606, 30958148497306119, 576071909903353258, 1764861075171646682, 22662278284403447382, 171532920619662477494, 211615267839321066236, 10134058977239009670325, -5550346147533980680978, 246990403565262140303521], 'euler97': [1, 1, -426, -270, 73556, -173473, -4987855, 77280082, -246776083, -12010332991, 88528979833, 606830088507, -10705540358772, 58862518585179, 832969171248697, -10961506641894943, -21846909195986323, 663630359222861074, -4154743579645137295, -14016320803271696449, 576490265467991743316, -205262385836732608590, -31414267805723943896874, 7153014030880804126753, 693842360995438000295041], 'euler_factors': [[1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 1, 0, 6, 14, 20, 56, 107, 138, 212, 326, 313, 978, 1908, 3726, 8667, 13608, 14580, 30618, 39366, 0, 59049, 354294, 531441], [1, 3, 6, 10, 15, 18, 19, 18, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 6, -10, 15, -18, 19, -18, 15, -10, 6, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -7, -4, 220, -695, -1562, 13739, -17182, -84095, 292820, -58564, -1127357, 1771561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -8, 21, 42, -486, 1866, -2498, -10934, 85995, -327082, 386802, 3579460, -22542989, 46532980, 65369538, -718599154, 2456103195, -4059717662, -12057368882, 117088732722, -396445130406, 445388973666, 2895028328829, -14337283152296, 23298085122481], [1, -8, 41, -208, 812, -6652, 41444, -189394, 864509, -3069944, 15199408, -81515376, 336294327, -1385761392, 4392628912, -15082634872, 72204656189, -268912396658, 1000357409636, -2729572852796, 5664315042092, -24666278311376, 82655749918409, -274175170461064, 582622237229761], [1, -11, 10, 210, -408, 1767, -14057, -93088, 521625, 156095, 3588567, 2829109, -221700260, 53753071, 1295472687, 1070655605, 67978691625, -230495103712, -661323949217, 1579471362813, -6929293720728, 67764416533590, 61310662578010, -1281392847880409, 2213314919066161], [1, 20, 360, 4276, 46650, 411100, 3396424, 24296380, 165078895, 1001669832, 5810743760, 30511195400, 153518585324, 701757494200, 3073883449040, 12187316845944, 46195843055695, 156379835338340, 502792646260936, 1399723741261700, 3653207463358650, 7701728780415788, 14913544036913640, 19056195158278540, 21914624432020321], [1, -20, 189, -1128, 3582, -2484, 47892, -1153090, 11650101, -71869918, 277829974, -648945544, 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'is_instance_NF': False, 'label': '24-770e12-1.1-c1e12-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '24-770e12-1.1-c1e12-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.4796130657097675, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e12-0', 'trace_hash': 1637689942361398087, 'z1': {'__RealLiteral__': 0, 'data': '0.03473545924074228053625561194', 'prec': 103}}
• lfunc_instances •

  Column	Type
  Lhash	text
  Lhash_array	text[]
  label	text
  type	text
  url	text

  
  {'Lhash': '44032425755730149440380487656,439881457387830920985629971485,721245335180971066114227789464,975857964544099797144892051161,1306434966589417130934441335713,1504690479816012423702111257474,1580575603563067662044043702436,1615714645564495775000989057607,1840026127350912856478170651585,2073605962826212108390883081006,2127163973487890222001619160939,2689895263000986341323435486300', 'Lhash_array': ['44032425755730149440380487656', '439881457387830920985629971485', '721245335180971066114227789464', '975857964544099797144892051161', '1306434966589417130934441335713', '1504690479816012423702111257474', '1580575603563067662044043702436', '1615714645564495775000989057607', '1840026127350912856478170651585', '2073605962826212108390883081006', '2127163973487890222001619160939', '2689895263000986341323435486300'], 'label': '24-770e12-1.1-c1e12-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/770/2/n/g'}