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lfunc_lfunctions • Show schema
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{'Lhash': '2357331818962409826335237914981', 'a10': [-0.8957328529029871, -32.833527578617854], 'a2': [-0.907834024531526, -2.7940258317882325], 'a3': [-2.4270509831248424, 1.7633557568774194], 'a4': [-0.5102817776032383, 0.3707414126949261], 'a5': [10.723399056331665, 3.1636549556905154], 'a6': [7.130220997101422, 5.180408788470972], 'a7': [18.91152333081604, 0.0], 'a8': [-17.514810415147192, -12.725254636555665], 'a9': [2.7811529493745266, -8.559508646656383], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.425143250430549, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [2.4270509831248424, -1.7633557568774194]]], [5, [[1.0, 0], [-10.723399056331665, -3.1636549556905154]]]], 'bad_primes': [3, 5], 'central_character': '75.31', 'coefficient_field': 'CDF', 'conductor': 75, 'conductor_radical': 15, 'conjugate': '1601340291012857069688256825048', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.907834024531526, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.425143250430549, 'bad_primes': [3, 5], 'central_character': '25.6', 'conductor': 75, 'conductor_radical': 15, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/75/4/g/b/31/2'], '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': '2-75-25.6-c3-0-7', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-75-25.6-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.103602445908102, 'root_angle': 0.23131832791432516, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.85960691261298093784710488559', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2357331818962409826335237914981', 'Lhash_array': ['2357331818962409826335237914981'], 'label': '2-75-25.6-c3-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/4/g/b/31/2'}