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lfunc_lfunctions • Show schema
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{'Lhash': '528372986613092285559017544191', 'a10': [2.3447819937799116e-60, -7.699785797370141], 'a2': [-1.4497324292221656, 1.7277238308258471], 'a3': [0.4629242291599881, 1.6690419881047422], 'a4': [-0.5360091639312782, -3.0398590265519463], 'a5': [-2.615244232982998, 2.194450471334542], 'a6': [-3.5547598847834214, -1.619859073302484], 'a7': [-0.12674588362594513, -2.6427136585305413], 'a8': [2.1226683136356375, 1.2255231222778242], 'a9': [-2.5714023161132618, 1.5452799515580837], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5091725982022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.4629242291599881, -1.6690419881047422]]], [7, [[1.0, 0], [0.12674588362594513, 2.6427136585305413]]]], 'bad_primes': [3, 7], 'central_character': '189.101', 'coefficient_field': 'CDF', 'conductor': 189, 'conductor_radical': 21, 'conjugate': '4413465667749605165569911504430', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5091725982022, 'bad_primes': [3, 7], 'central_character': '189.101', 'conductor': 189, 'conductor_radical': 21, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/189/2/ba/a/101/3'], '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': '2-189-189.101-c1-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-189-189.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2284838615961546, 'root_angle': 0.32449916874889884, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.41681279251393353293675162520', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '528372986613092285559017544191', 'Lhash_array': ['528372986613092285559017544191'], 'factors': ['2-189-189.101-c1-0-2'], 'label': '2-189-189.101-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/189/2/ba/a/101/3'}