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lfunc_lfunctions • Show schema
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{'Lhash': '1128391643883058403280533520787', 'a10': 0, 'a2': 0, 'a3': -10460353203, 'a4': 4398046511104, 'a5': 0, 'a6': 0, 'a7': 146246101081752386, 'a8': 0, 'a9': 109418989131512359209, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 33.518312151630795, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '21.0', 'prec': 14}, 'bad_lfactors': [[3, [1, 10460353203]]], 'bad_primes': [3], 'central_character': '3.2', 'coefficient_field': '1.1.1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'euler_factors': [[1, 0, -4398046511104], [1, 10460353203], [1, 0, -227373675443232059478759765625], [1, -146246101081752386, 311973482284542371301330321821976049], [1, 0, -54763699237492901685126120802225273763666521], [1, 357172201574584820855926, 61040881526285814362156628321386486455989674569], [1, 0, -4773695331839566234818968439734627784374274207965089], [1, 165282232922573499748305862, 510095203738582479622335815880298130716653502143703561], [1, 0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 33.518312151630795, 'bad_primes': [3], 'central_character': '3.2', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'dirichlet_coefficients': [1, 0, -10460353203, 4398046511104, 0, 0, 146246101081752386, 0, 109418989131512359209, 0, 0, -46005119909369701466112, -357172201574584820855926, 0, 0, 19342813113834066795298816, 0, 0, -165282232922573499748305862, 0, -1529785871876770335747992358, 0, 0, 0, 227373675443232059478759765625, 0, -1144561273430837494885949696427, 643197154625164001525727494144, 0, 0, 40071891552502334872877231380562, 0, 0, 0, 0, 481229803398374426442198455156736, 1627039758795395209154445850600826, 0, 3736147382763269974235466735630978, 0, 0, 0, 30195211903983689990258309024586314, 0, 0, 0, 0, -202332657110324584212719915287707648, -290585560202928234894752897205283053, 0, 0, -1570859954998437386602722199343202304, 0, 0, 0, 0, 1728910534550633759095110917395375986, 0, 0, 0, 55873936229113631301915176656255273322, 0, 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'prelabel': '2-3-3.2-c42-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 5.7895001642310016, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c42-0', 'trace_hash': 1127593904710085817, 'z1': {'__RealLiteral__': 0, 'data': '0.890144053637415040605839661333', 'prec': 107}}
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lfunc_instances • Show schema
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id: 24564910
{'Lhash': '1128391643883058403280533520787', 'Lhash_array': ['1128391643883058403280533520787'], 'label': '2-3-3.2-c42-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/43/b/a/2/1'}
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id: 23645444
{'Lhash': '1128391643883058403280533520787', 'Lhash_array': ['1128391643883058403280533520787'], 'label': '2-3-3.2-c42-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/43/b/a'}