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lfunc_lfunctions • Show schema
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{'Lhash': '167819757929215986217376488793', 'a10': [-99.20773874250001, 0], 'a2': [0, 4.437750926201139], 'a3': [0, 0], 'a4': [-3.693633282999066, 0], 'a5': [0, 22.355409393700494], 'a6': [0, 0], 'a7': [0, -51.98374245254958], 'a8': [0, 54.61259029654176], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 40.004175713447765, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [43, [[1.0, 0], [528.7276664693234, -1771.792328324599]]]], 'bad_primes': [3, 43], 'central_character': '387.343', 'coefficient_field': 'CDF', 'conductor': 387, 'conductor_radical': 129, 'conjugate': '2446904143323047742383396645256', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -4.437750926201139], [-16.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -22.355409393700494], [-625.0, 0]], [[1.0, 0], [0, 51.98374245254958], [-2401.0, 0]], [[1.0, 0], [-25.01575310806077, 0], [14641.0, 0]], [[1.0, 0], [38.7509797380918, 0], [28561.0, 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'0.13238644615401239651160241918', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.58764373160799065391917418085', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.49880309908621744402782337666', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 40.004175713447765, 'bad_primes': [3, 43], 'central_character': '43.42', 'conductor': 387, 'conductor_radical': 129, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/387/5/b/c/343/10'], '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': '2-387-43.42-c4-0-3', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-387-43.42-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.324885430855469, 'root_angle': 0.29615511335294703, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.13238644615401239651160241918', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '167819757929215986217376488793', 'Lhash_array': ['167819757929215986217376488793'], 'label': '2-387-43.42-c4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/387/5/b/c/343/10'}