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lfunc_lfunctions • Show schema
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{'Lhash': '1786089392799884810781919445510', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-2.4083828811673658, -2.4083828811673658], 'a6': [0, 0], 'a7': [11.720518135615068, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 33.98510016330661, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '576.431', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '344217077201719152944635359642', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.4083828811673658, 2.4083828811673658], [0, 125.0]], [[1.0, 0], [-11.720518135615068, 0], [343.0, 0]], [[1.0, 0], [34.74089874445999, -34.74089874445999], [0, -1331.0]], [[1.0, 0], [3.1794953497495944, 3.1794953497495944], [0, 2197.0]], [[1.0, 0], [0, 98.07966526861169], [-4913.0, 0]], [[1.0, 0], 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'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40897609520976445705861930041', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.83177443521578552550992491505', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.92891552702153387926699156161', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 33.98510016330661, 'bad_primes': [2, 3], 'central_character': '48.35', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/4/l/a/431/12'], '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': '2-24e2-48.35-c3-0-19', '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': '2-24e2-48.35-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.82967410438239, 'root_angle': 0.34765118517206084, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.40897609520976445705861930041', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1786089392799884810781919445510', 'Lhash_array': ['1786089392799884810781919445510'], 'factors': ['2-24e2-48.35-c3-0-19'], 'label': '2-24e2-48.35-c3-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/4/l/a/431/12'}