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lfunc_lfunctions • Show schema
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{'Lhash': '455503741527024288258741889977', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-121.5, 210.4441731196186], 'a4': [0, 0], 'a5': [5578.815537561437, 9662.791957111087], 'a6': [0, 0], 'a7': [24922.88705541428, 36826.300979368854], 'a8': [0, 0], 'a9': [-29524.5, -51137.93406806732], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.54082716700547, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [121.5, -210.4441731196186]]], [7, [[1.0, 0], [-24922.88705541428, -36826.300979368854]]]], 'bad_primes': [2, 3, 7], 'central_character': '84.25', 'coefficient_field': 'CDF', 'conductor': 84, 'conductor_radical': 42, 'conjugate': '2559476965435415069860101491797', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [121.5, -210.4441731196186]], [[1.0, 0], [-5578.815537561437, -9662.791957111087], [-24414062.5, 42286396.66916204]], [[1.0, 0], [-24922.88705541428, -36826.300979368854]], [[1.0, 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{'__RealLiteral__': 0, 'data': '2.52083395450606536514718203344265', 'prec': 113}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.54082716700547, 'bad_primes': [2, 3, 7], 'central_character': '7.4', 'conductor': 84, 'conductor_radical': 42, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/84/12/i/b/25/8'], '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': '2-84-7.4-c11-0-1', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-84-7.4-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.033730588400726, 'root_angle': 0.4153950571131648, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '0.35932909387256616627945699769543', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '455503741527024288258741889977', 'Lhash_array': ['455503741527024288258741889977'], 'label': '2-84-7.4-c11-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/84/12/i/b/25/8'}