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lfunc_lfunctions • Show schema
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{'Lhash': '2288378765611998517363390691290', 'a10': -8844697800, 'a2': -2844, 'a3': -59049, 'a4': 5991184, 'a5': 3109950, 'a6': 167935356, 'a7': 363303920, 'a8': -11074627008, 'a9': 3486784401, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.384320328611864, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '10.5', 'prec': 14}, 'bad_lfactors': [[3, [1, 59049]]], 'bad_primes': [3], 'central_character': '3.1', 'coefficient_field': '1.1.1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'euler_factors': [[1, 2844, 2097152], [1, 59049], [1, -3109950, 476837158203125], [1, -363303920, 558545864083284007], [1, -14581833156, 7400249944258160101211], [1, -113350790702, 247064529073450392704413], [1, 8589389597982, 69091933913008732880827217], [1, 29202939273796, 714209495693373205673756419], [1, 155899214954280, 39471584120695485887249589623], [1, -2400788707090758, 5132842708382182842735812571629], [1, -2239820676947000, 20825506393391550743120420649631], [1, 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'8.434446208305040756622708334893', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.384320328611864, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'dirichlet_coefficients': [1, -2844, -59049, 5991184, 3109950, 167935356, 363303920, -11074627008, 3486784401, -8844697800, 14581833156, -353773424016, 113350790702, -1033236348480, -183639437550, 18931815702784, -8589389597982, -9916414836444, -29202939273796, 18632282680800, -21452733172080, -41470733495664, -155899214954280, 653945650195392, -467165369200625, -322369648756488, -205891132094649, 2176620632641280, 2400788707090758, 522270560392200, 2239820676947000, -30616907679636480, -861042666028644, 24428224016660808, 1129857026004000, 20889966914720784, -30785069383298890, 83053159294675824, -6693250840162398, -34441536263529600, -103207571041281030, 61011573141395520, -165557270617488124, 87362445494896704, 10843725147889950, 443377367329972320, -66587216226477408, -1117904785433692416, -426556125795917607, 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'root_analytic_conductor': 2.8955690854496745, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c21-0', 'trace_hash': 2240667769358617977, 'z1': {'__RealLiteral__': 0, 'data': '1.80521254452922275171971322257', 'prec': 103}}
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lfunc_instances • Show schema
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id: 10414861
{'Lhash': '2288378765611998517363390691290', 'Lhash_array': ['2288378765611998517363390691290'], 'label': '2-3-1.1-c21-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/22/a/a'}
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id: 24551565
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