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lfunc_lfunctions • Show schema
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{'Lhash': '1385834815380721497858722807304', 'a10': [9892.826009116, -5711.625759409253], 'a2': [-13.856406460551018, -8.0], 'a3': [0, 0], 'a4': [128.0, 221.70250336881628], 'a5': [-356.9766099630783, 618.30162556975], 'a6': [0, 0], 'a7': [3246.938690558524, -5459.94470116265], 'a8': [0, -4096.0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.89451535664803, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [13.856406460551018, 8.0]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-3246.938690558524, 5459.94470116265]]]], 'bad_primes': [2, 3, 7], 'central_character': '126.89', 'coefficient_field': 'CDF', 'conductor': 126, 'conductor_radical': 42, 'conjugate': '674367644611461301152883916443', 'degree': 2, 'euler_factors': [[[1.0, 0], [13.856406460551018, 8.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [356.9766099630783, -618.30162556975], [-976562.5, -1691455.8667664817]], [[1.0, 0], [-3246.938690558524, 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'c9-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.09323090694802973490351043661', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.20231331586340518462699285002', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.14141891298560083896770362182', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.89451535664803, 'bad_primes': [2, 3, 7], 'central_character': '21.5', 'conductor': 126, 'conductor_radical': 42, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/126/10/k/a/89/5'], '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': '2-126-21.5-c9-0-17', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-126-21.5-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.055713212164894, 'root_angle': 0.25760311602179803, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '1.09323090694802973490351043661', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1385834815380721497858722807304', 'Lhash_array': ['1385834815380721497858722807304'], 'label': '2-126-21.5-c9-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/126/10/k/a/89/5'}