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lfunc_lfunctions • Show schema
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{'Lhash': '61147513499246637460708249801', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 173.9482681718907], 'a6': [0, 0], 'a7': [-484.0, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 132.5111521650342, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '576.449', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '2573152337522969077287777664826', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -173.9482681718907], [-15625.0, 0]], [[1.0, 0], [484.0, 0], [117649.0, 0]], [[1.0, 0], [0, -1340.674457129694], [-1771561.0, 0]], [[1.0, 0], [3368.0, 0], [4826809.0, 0]], [[1.0, 0], [0, 12.727922061357855], [-24137569.0, 0]], [[1.0, 0], [5744.0, 0], [47045881.0, 0]], [[1.0, 0], [0, -3377.141986946951], [-148035889.0, 0]], 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'2.05765000041784171102140571964964', '3.26504092334992315888035816923369', '4.33939507987719952692668634254517', '5.33529193464473251429447855218827', '6.17520176130796224768196222727915', '7.22028686230430019203986614232564', '8.321870104776695269627931387523494', '9.094250275509000795959074762102306'], 'prelabel': '2-24e2-3.2-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.511348842122464, 'root_angle': 0.3040867239846964, 'root_number': '0.5773502691896257645091487805019574556476017512701268761 + 0.8164965809277260327324280249019637973219824935522233762*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.1520433619923482', 'prec': 60}, 'spectral_label': 'c6-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.04823688285102974160036775537', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.49579283441015451900999534308', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.05765000041784171102140571965', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 132.5111521650342, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/7/e/b/449/2'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-24e2-3.2-c6-0-2', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-24e2-3.2-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.511348842122464, 'root_angle': 0.1520433619923482, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.04823688285102974160036775537', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '61147513499246637460708249801', 'Lhash_array': ['61147513499246637460708249801'], 'label': '2-24e2-3.2-c6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/7/e/b/449/2'}