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lfunc_lfunctions • Show schema
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{'Lhash': '1485597322464453597781929257932', 'a10': [-2.1234270663094956, 0.7007549458007764], 'a2': [0.47924898672005684, 0.8776789895672557], 'a3': [0.12510160757396646, 1.7491490289047453], 'a4': [-0.5406408174555976, 0.8412535328311812], 'a5': [-0.4026123771380864, 2.1995234196923703], 'a6': [-1.4752365336247895, 0.9480769522537288], 'a7': [0.22993224068517254, 0.08576029183897427], 'a8': [-0.9974521146102535, -0.07133918319923234], 'a9': [-0.07440758745802434, 0.010698195984996512], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.47924898672005684, -0.8776789895672557]]], [5, [[1.0, 0], [0.4026123771380864, -2.1995234196923703]]], [23, [[1.0, 0], [-4.2049556208599315, 2.3061544238403613]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.97', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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1.355197124587213, 'root_angle': -0.7610744422831984, 'root_number': '-0.7312751315645716 - 0.6820826064013203*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.380537221142', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.17192964859322024182945749921', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.56333265149216553531405653603', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.52474597058885639661487965959', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.97', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/l/a/97/10'], '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': '2-230-115.97-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': '2-230-115.97-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': -0.3805372211415992, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.17192964859322024182945749921', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1485597322464453597781929257932', 'Lhash_array': ['1485597322464453597781929257932'], 'label': '2-230-115.97-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/l/a/97/10'}