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'spectral_label': 'c13e2-0', 'trace_hash': 140575788149434290, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.27910233354001605159055504260', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.97759518356964779128479875291', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.40193623511112733967665197024', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 556.5260507962836, 'bad_primes': [2, 11], 'central_character': '1.1', 'conductor': 484, 'conductor_radical': 22, 'degree': 4, 'dirichlet_coefficients': [1, -128, -662, 12288, -48566, 84736, 404508, -1048576, -1259339, 6216448, -3543122, -8134656, 28445952, -51777024, 32150692, 83886080, 107032052, 161195392, -73524568, -596779008, -267784296, 453519616, -987164862, 694157312, 409607841, -3641081856, 902040538, 4970594304, -9516399376, -4115288576, -6865940430, -6442450944, 2345546764, -13700102656, -19645335528, -15474757632, -4145233266, 9411144704, -18831220224, 50925142016, 39451523656, 34276389888, 5532549228, -43537883136, 61161057874, 126357102336, -28411609744, -55532584960, 49989210734, -52429803648, -70855218424, 349543858176, -49178542972, -115461188864, 172075263052, -424157380608, 48673264016, 1218099120128, 110326136718, 395067703296, -161816895480, 878840375040, -509412700212, 481036337152, -1381506104832, -300229985792, 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[1, -110326136718, 205246705791547985516695, -11581226679167431490307784359656922, 11019256760137431318578881470772901085543568441], [1, 161816895480, 196621055618974206757162, 26200629143022820053636763346633880, 26216560304236644107032206903934907003722771561], [1, 483661746106, 1154872415398527641814527, 265163763591723326419668044895574222, 300569473249667159156751403864289752106501534569], [1, -318713704774, 299679845466396527721895, -371329345410927507090420849116223914, 1357428823436012493912764295324964521327058894321], [1, 1073843539168, 3021427120996898653995746, 1795304791976023641139942754873880544, 2795080775372854558800260190932141897521953107089], [1, 742108796220, 9394713052770631549058722, 3464334079364387944317917016917288580, 21792365464956367829706954331797367137260238877921], [1, 6905249437156, 29172012398155489125264586, 61262479759324187734965434032199395628, 78710088693862060550937415168839181624072556349769], [1, 8233927751362, 60660387242773668457669363, 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'root_analytic_conductor': 4.857036583084463, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c13e2-0', 'trace_hash': 140575788149434290, 'z1': {'__RealLiteral__': 0, 'data': '1.27910233354001605159055504260', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1621454840865330231845272356139,2506899721460519529559713533802', 'Lhash_array': ['1621454840865330231845272356139', '2506899721460519529559713533802'], 'label': '4-22e2-1.1-c13e2-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/22/14/a/a'}