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lfunc_lfunctions • Show schema
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{'Lhash': '1531707844686952868802829542784', 'a10': [0.3907918725945557, 10.707849234003149], 'a2': [0.46146257544848285, 1.9460350180457835], 'a3': [1.7236591505404941, 2.4554020307798927], 'a4': [-3.5741045829209064, 1.796044662680684], 'a5': [5.254546350329167, 1.0451942540501165], 'a6': [-3.982894144474642, 4.487377211011975], 'a7': [-0.2811054750890517, 0.6786486504173208], 'a8': [-5.144481313307746, -6.126525280860874], 'a9': [-3.057998265516044, 8.464552357218949], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.231621075717701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.46146257544848285, -1.9460350180457835]]], [3, [[1.0, 0], [-1.7236591505404941, -2.4554020307798927]]]], 'bad_primes': [2, 3], 'central_character': '192.101', 'coefficient_field': 'CDF', 'conductor': 192, 'conductor_radical': 6, 'conjugate': '3306652403714247619697017836357', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20830443689387459789371736649', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.42181712214289168176586543447', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.78767350839277607709823918895', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.231621075717701, 'bad_primes': [2, 3], 'central_character': '192.101', 'conductor': 192, 'conductor_radical': 6, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/192/3/q/a/101/35'], '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': '2-192-192.101-c2-0-22', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-192-192.101-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2872737212055974, 'root_angle': -0.39787254216627516, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20830443689387459789371736649', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1531707844686952868802829542784', 'Lhash_array': ['1531707844686952868802829542784'], 'label': '2-192-192.101-c2-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/192/3/q/a/101/35'}