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lfunc_lfunctions • Show schema
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{'Lhash': '437939281288059972082665854061', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-4.597288882620143, -2.4217627732164932], 'a4': [0, 0], 'a5': [0, -2.411117735848002], 'a6': [0, 0], 'a7': [0, -7.0], 'a8': [0, 0], 'a9': [15.27013014052552, 22.267086147303022], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.824641761928856, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [4.597288882620143, 2.4217627732164932]]], [7, [[1.0, 0], [0, 7.0]]]], 'bad_primes': [2, 3, 7], 'central_character': '336.239', 'coefficient_field': 'CDF', 'conductor': 336, 'conductor_radical': 42, 'conjugate': '1376696828848528722626577408251', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [4.597288882620143, 2.4217627732164932]], [[1.0, 0], [0, 2.411117735848002], [-125.0, 0]], [[1.0, 0], [0, 7.0]], [[1.0, 0], [37.75071226521376, 0], [1331.0, 0]], [[1.0, 0], [24.82415826292883, 0], [2197.0, 0]], [[1.0, 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'data': '2.39893836580177432338743985545', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.92093760213106499819544285067', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.824641761928856, 'bad_primes': [2, 3, 7], 'central_character': '12.11', 'conductor': 336, 'conductor_radical': 42, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/336/4/h/a/239/3'], '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': '2-336-12.11-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': '2-336-12.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.452487143376032, 'root_angle': -0.17283501922486427, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.34547317786873830648959549179', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '437939281288059972082665854061', 'Lhash_array': ['437939281288059972082665854061'], 'label': '2-336-12.11-c3-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/336/4/h/a/239/3'}