Formats: - HTML - YAML - JSON - 2026-09-22T17:44:31.849959
Query: /api/lfunc_lfunctions/?_offset=0
Show schema

{'Lhash': '311429097268560542710824979501', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 3.0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28.74614472766095, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '3600.2449', 'coefficient_field': 'CDF', 'conductor': 3600, 'conductor_radical': 30, 'conjugate': '1937620114818352333531991478186', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -3.0], [-7.0, 0]], [[1.0, 0], [-2.0, 0], [11.0, 0]], [[1.0, 0], [0, 3.0], [-13.0, 0]], [[1.0, 0], [0, -6.0], [-17.0, 0]], [[1.0, 0], [7.0, 0], [19.0, 0]], [[1.0, 0], [0, -6.0], [-23.0, 0]], [[1.0, 0], [2.0, 0], [29.0, 0]], [[1.0, 0], [-5.0, 0], [31.0, 0]], [[1.0, 0], [0, 10.0], [-37.0, 0]], [[1.0, 0], [12.0, 0], [41.0, 0]], [[1.0, 0], [0, 3.0], [-43.0, 0]], [[1.0, 0], [0, -10.0], [-47.0, 0]], [[1.0, 0], [0, 0], [-53.0, 0]], [[1.0, 0], [-6.0, 0], [59.0, 0]], [[1.0, 0], [13.0, 0], [61.0, 0]], [[1.0, 0], [0, -7.0], [-67.0, 0]], [[1.0, 0], [4.0, 0], [71.0, 0]], [[1.0, 0], [0, 6.0], [-73.0, 0]], [[1.0, 0], [8.0, 0], [79.0, 0]], [[1.0, 0], [0, 6.0], [-83.0, 0]], [[1.0, 0], [-16.0, 0], [89.0, 0]], [[1.0, 0], [0, -7.0], [-97.0, 0]], [[1.0, 0], [0, 0], [101.0, 0]], [[1.0, 0], [0, -12.0], [-103.0, 0]], [[1.0, 0], [0, -16.0], [-107.0, 0]], [[1.0, 0], [9.0, 0], [109.0, 0]], [[1.0, 0], [0, 12.0], [-113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23158986, 'index': 2, 'label': '2-60e2-5.4-c1-0-2', 'leading_term': '0.854299799513382296352493426791306693371639619716682269', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3600/2/f/o/2449/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [0.8542997995133823, 0.6795139667017573, 0.5031425127584118, 0.3258378848547057, 0.14831543312236947, -0.028599347075899225, -0.20393005589932206, -0.3765177044365844, -0.5450000481606945, -0.7078031862219302, -0.8631460033024726, -1.009057433660014, -1.1434060280338592, -1.2639409056478637, -1.3683428631744423, -1.4542841706743257, -1.5194953910263822, -1.56183739775272, -1.579376625827867, -1.5704614667027135, -1.5337976135780835, -1.468520081368424, -1.3742595760006342, -1.2512008792447908, -1.1001309578508507, -0.9224746081768037, -0.7203156168892121, -0.4964016595837475, -0.25413147448751733, 0.0024767630818130566, 0.268836482179603, 0.5398632708868897, 0.8100644708668528, 1.073646730595318, 1.3246398072948442, 1.5570342771292311, 1.7649302020416786, 1.9426932321320172, 2.0851141176963823, 2.18756718787221, 2.246163045101754, 2.2578905462897407, 2.220743109697611, 2.133824514684761, 1.9974296582306432, 1.8130962013336314, 1.5836236776005463, 1.3130574370422101, 1.0066357451911334, 0.6706994295689708, 0.31256463441800725, -0.05963952309113225, -0.4371653447626229, -0.8108687012854986, -1.1714534729036394, -1.5097317451809953, -1.816892310168674, -2.084769307023006, -2.306102356916168, -2.474779338291583, -2.5860530358832317, -2.6367232969941985, -2.6252770473677565, -2.551979551133437, -2.418911627191524, -2.2299491281115373, -1.9906828052227263, -1.7082786718669154, -1.3912810725922982, -1.049362798021299, -0.6930286758940536, -0.33328103770790835, 0.018742773601738226, 0.3521492046163824, 0.6566708191570318, 0.9230386555536899, 1.143330867518809, 1.311284155806391, 1.4225552704397357, 1.474921153613106, 1.4684080791524081, 1.4053423825359492, 1.2903180024363043, 1.1300789880459008, 0.9333182668131155, 0.7103972016565064, 0.4729936723787522, 0.23368946460301895, 0.00551051240601943, -0.19856410591746135, -0.3661066894454741, -0.4857400152288383, -0.5476115695725452, -0.5438237033511163, -0.4688015225278832, -0.31958211262126357, -0.09601121460357515, 0.19916335120073125, 0.5603084789602358, 0.9790355882478979, 1.444441810104951, 1.9434563628618697, 2.461281471350754, 2.9819129942868328, 3.488722194366451, 3.9650769892425286, 4.394978714790556, 4.763689043658104, 5.058321326713269, 5.268371317707805, 5.3861640133818325, 5.40719615711527, 5.330357731934012, 5.158020380715812, 4.895985968634081, 4.553294240070077, 4.1418944858755, 3.6761920742876715, 3.1724863486687815, 2.6483214990023543, 2.121776327717339, 1.610722136083104, 1.1320800744148596, 0.7011100937873846, 0.3307630298513918, 0.03112532229064548, -0.1910175280746054, -0.3324773287937603, -0.3938037157017902, -0.37925977228899993, -0.2966309132101179, -0.15687269064105988, 0.02638938095526614, 0.23748785067465447, 0.45944277981858456, 0.6747609412112159, 0.8662691802882289, 1.0179439816071212, 1.115698622348845, 1.1480904182796687, 1.1069134761767232, 0.987646973799821, 0.7897351244634229, 0.5166824001859833, 0.1759559683079641, -0.22130373164519768, -0.6607541941325069, -1.1254848661646593, -1.5967868046252065, -2.0550237010536754, -2.48056438343304, -2.8547330759974185, -3.1607318940817657, -3.3844904131822275, -3.515399719086086, -3.5468930511874586, -3.4768418185825762, -3.3077441208987306, -3.046692574395334, -2.7051187843177207, -2.2983227166504503, -1.84480597381334, -1.3654380304228113, -0.8824933183748636, -0.41860419378460234, 0.004320127198722481, 0.36615591511045675, 0.6495557302631271, 0.8408174275674039, 0.9305862611938173, 0.914352520142775, 0.7927167112686315, 0.571405503324142, 0.2610339194596479, -0.12337798704006261, -0.5631131608498057, -1.0366577043708338, -1.520750279884344, -1.9915295532365136, -2.425722644936105, -2.8018145545028896, -3.1011385724875096, -3.3088308527544825, -3.4145984847253015, -3.413259320235444, -3.3050230607035296, -3.0954961530332734, -2.7954072256203504, -2.4200643925520504, -1.988569999994289, -1.5228315211185395, -1.0464186047341082, -0.5833251104944731, -0.15670080129039352, 0.21238015810051886, 0.5060478241727056, 0.7106007890251612, 0.8172527766769098, 0.8226191426636138, 0.7289143954524845, 0.5438471343738103, 0.2802150547807469, -0.044780962031861306, -0.41046907187065407, -0.7938364667975469, -1.170797124051723, -1.5175289101377234, -1.8118069157711452, -2.034259132505041, -2.1694738947368224, -2.2068957899825414, -2.141457651347282, -1.9739102453880233, -1.7108276291721978, -1.3642839989657165, -0.951216215832972, -0.4925040488803696, -0.01181651209475219, 0.465713460916073, 0.9149131839534689, 1.312013777989487, 1.6360314369366167, 1.8700070688872483, 2.002031877761205, 2.0259975708953686, 1.9420246626995683, 1.7565400121126178, 1.4819943217322211, 1.1362307507156657, 0.7415358955109804, 0.32342301322494915, -0.09078659275894849, -0.47350560237082207, -0.798459518756325, -1.0422123944582948, -1.1855513344309008, -1.2146485921227588, -1.1219317916111728, -0.9066087121436678, -0.5748123025663889, -0.13935308416617664, 0.38091136664045755, 0.9620578891350874, 1.5763774846355285, 2.193882748681072, 2.783958378897464, 3.317060898924133, 3.7663698728859902, 4.10929470656826, 4.328748612761414, 4.414114095107166, 4.361841692814959, 4.17564475843475, 3.86627651108573, 3.4509001527381753, 2.9520870049648726, 2.3964999683832366], 'positive_zeros': ['0.24567423958343920481522193732776', '1.47217665067321806933751408303963', '2.58178692853740257947043494471523', '3.65349115794712995770391445481260', '4.47003389671709422926301515525098', '4.89288333577212779197271176488836', '6.35380623695166884411936397290496', '6.69635742473126309489502808889240', '7.33578740215711270067078119301020', '8.378352071993944228248165419825045'], 'prelabel': '2-60e2-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.361543129329554, 'root_angle': -0.42620819117478337, 'root_number': '-0.89442719099991587856366946749251049417624734384461028971 - 0.4472135954999579392818347337462552470881236719223051449*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.42620819117478337', 'prec': 57}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.24567423958343920481522193733', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.47217665067321806933751408304', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.58178692853740257947043494472', 'prec': 100}}