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lfunc_lfunctions • Show schema
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{'Lhash': '3470791510880437832046122077450', 'a10': 321308160, 'a2': 256, 'a3': 6084, 'a4': 65536, 'a5': 1255110, 'a6': 1557504, 'a7': -22465912, 'a8': 16777216, 'a9': -92125107, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.664441746891196, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '8.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -256]]], 'bad_primes': [2], 'central_character': '2.1', 'coefficient_field': '1.1.1.1', 'conductor': 2, 'conductor_radical': 2, 'degree': 2, 'euler_factors': [[1, -256], [1, -6084, 129140163], [1, -1255110, 762939453125], [1, 22465912, 232630513987207], [1, -172399692, 505447028499293771], [1, 2180149426, 8650415919381337933], [1, -30163933458, 827240261886336764177], [1, 76275766060, 5480386857784802185939], [1, -130466597784, 141050039560662968926103], [1, -803134463070, 7257147736730073114838109], [1, -2045336056352, 22550116774162743178682911], [1, -33855367078118, 456487940826035155404146917], [1, -53206442755242, 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'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c17-0', 'trace_hash': 676481325266181540, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.73797173310654543301152857738', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '6.09606962482516881358734193045', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '9.700931521273143182455695779559', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.664441746891196, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 2, 'conductor_radical': 2, 'degree': 2, 'dirichlet_coefficients': [1, 256, 6084, 65536, 1255110, 1557504, -22465912, 16777216, -92125107, 321308160, 172399692, 398721024, -2180149426, -5751273472, 7636089240, 4294967296, 30163933458, -23584027392, -76275766060, 82254888960, -136682608608, 44134321152, 130466597784, 102072582144, 812361658975, -558118253056, -1346177902680, -1472326008832, 803134463070, 1954838845440, 2045336056352, 1099511627776, 1048879726128, 7721966965248, -28197190810320, -6037511012352, 33855367078118, -19526596111360, -13264029107784, 21057251573760, 53206442755242, -34990747803648, 26590357792364, 11298386214912, -115627143046770, 33399449032704, -232565394320592, 26130581028864, 272086688004537, 207964584697600, 183517371158472, -142878272782336, -163277861935626, -344621543086080, 216380577426120, -376915458260992, -464061760709040, 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'2-2-1.1-c17-0-0', 'motivic_weight': 17, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [17], 'order_of_vanishing': 0, 'prelabel': '2-2-1.1-c17-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.9142731641255373, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c17-0', 'trace_hash': 676481325266181540, 'z1': {'__RealLiteral__': 0, 'data': '2.73797173310654543301152857738', 'prec': 103}}
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lfunc_instances • Show schema
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id: 9995077
{'Lhash': '3470791510880437832046122077450', 'Lhash_array': ['3470791510880437832046122077450'], 'label': '2-2-1.1-c17-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2/18/a/a'}
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id: 24549412
{'Lhash': '3470791510880437832046122077450', 'Lhash_array': ['3470791510880437832046122077450'], 'label': '2-2-1.1-c17-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2/18/a/a/1/1'}