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lfunc_lfunctions • Show schema
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{'Lhash': '888436077568118604361693232313', 'a10': [1.667283097158264, -1.9241472662654515], 'a2': [-1.8569709758218576, 1.1934027818949042], 'a3': [0.9898214418809327, 0.14231483827328514], 'a4': [1.1933009792065123, -2.6129646661787627], 'a5': [-1.1066848909665914, 0.324952003322399], 'a6': [-2.0079086127192953, 0.9169811382176583], 'a7': [1.0792440126698084, 2.415622561808109], 'a8': [0.27410655442146536, 1.906452961745731], 'a9': [0.9594929736144974, 0.28173255684142967], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.9898214418809327, -0.14231483827328514]]], [7, [[1.0, 0], [-1.0792440126698084, -2.415622561808109]]], [23, [[1.0, 0], [-0.10839130767961243, -4.79460648274908]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.34', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': 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'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.7527113908990577, 'root_number': '-0.7131042516349554 - 0.7010580049469161*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.37635569545', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.70085248838139110288034668534', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.05942472203700997633768773745', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.44270036293876870259369816346', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'bad_primes': [3, 7, 23], 'central_character': '161.34', 'conductor': 483, 'conductor_radical': 483, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/2/r/a/34/6'], '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': '2-483-161.34-c1-0-7', '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': '2-483-161.34-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.37635569544952885, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70085248838139110288034668534', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '888436077568118604361693232313', 'Lhash_array': ['888436077568118604361693232313'], 'label': '2-483-161.34-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/483/2/r/a/34/6'}