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lfunc_lfunctions • Show schema
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{'Lhash': '2097636950186075741583229683011', 'a10': [437.60159350683483, 757.9481934269409], 'a2': [7.427505277147094, 4.2882721711682406], 'a3': [6.708419246589311, 26.153338433400624], 'a4': [4.778556428031953, 8.276702520186193], 'a5': [88.37454377580416, 51.0230666384709], 'a6': [-62.32581403173944, 223.02158679677538], 'a7': [-127.73234619609617, 318.3291499929603], 'a8': [0.0, -466.93183571478863], 'a9': [-638.9942224239802, 350.89511781837734], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.831135756016872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-6.708419246589311, -26.153338433400624]]], [7, [[1.0, 0], [127.73234619609617, -318.3291499929603]]]], 'bad_primes': [3, 7], 'central_character': '21.2', 'coefficient_field': 'CDF', 'conductor': 21, 'conductor_radical': 21, 'conjugate': '4137733555020847123350930702221', 'degree': 2, 'euler_factors': [[[1.0, 0], [-7.427505277147094, -4.2882721711682406], 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'5.94950123685535469997615718577', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.831135756016872, 'bad_primes': [3, 7], 'central_character': '21.2', 'conductor': 21, 'conductor_radical': 21, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/21/7/h/a/2/11'], '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': '2-21-21.2-c6-0-6', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-21-21.2-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1979844758361855, 'root_angle': -0.23931660374200187, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.65474378334883015736286943806', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2097636950186075741583229683011', 'Lhash_array': ['2097636950186075741583229683011'], 'label': '2-21-21.2-c6-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/21/7/h/a/2/11'}