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lfunc_lfunctions • Show schema
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{'Lhash': '1447354340613704658291815486193', 'a10': [-0.33987688662318255, 0.0], 'a2': [-0.33987688662318255, 0.0], 'a3': [0.0, 0.0], 'a4': [-1.8844837019393323, 0.0], 'a5': [1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.6601231133768174, 0.0], 'a8': [1.3202462267536348, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.72623073718376, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [13, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 13], 'central_character': '7605.1', 'coefficient_field': 'CDF', 'conductor': 7605, 'conductor_radical': 195, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.33987688662318255, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.6601231133768174, 0], [7.0, 0]], [[1.0, 0], [-0.6797537732463651, 0], [11.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [7.429090517255482, 0], [17.0, 0]], [[1.0, 0], [0.11551629806066768, 0], [19.0, 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'6.31339064940290526172002092440662', '6.72448111164943452419810166337389', '7.58867237689709544653542528707461'], 'prelabel': '2-7605-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.79270368596059, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.14176125531208770803233411891', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.17749890594373206039450747732', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.16371099255121964907188189966', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 60.72623073718376, 'bad_primes': [3, 5, 13], 'central_character': '1.1', 'conductor': 7605, 'conductor_radical': 195, 'degree': 2, 'index': 170, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7605/2/a/bw/1/2'], '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': '2-7605-1.1-c1-0-170', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7605-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.79270368596059, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.14176125531208770803233411891', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1447354340613704658291815486193', 'Lhash_array': ['1447354340613704658291815486193'], 'label': '2-7605-1.1-c1-0-170', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7605/2/a/bw/1/2'}