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lfunc_lfunctions • Show schema
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{'Lhash': '2423524520189548572923798931894', 'a10': [6.898522423275195, 5.191096848405266e-61], 'a2': [1.2852659764207814, -0.41760823063713004], 'a3': [0.0, 0.0], 'a4': [-1.7585559816507996, 1.277665708547521], 'a5': [4.85484892961012, 1.5774360394655706], 'a6': [0.0, 0.0], 'a7': [10.653067360555045, -7.73990649114906], 'a8': [-4.904000687002211, 6.749777883568057], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.6975546171669396, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-4.161510628084335, -10.182427475427513]]]], 'bad_primes': [3, 11], 'central_character': '99.71', 'coefficient_field': 'CDF', 'conductor': 99, 'conductor_radical': 33, 'conjugate': '2671751577194303972544142226010', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.2852659764207814, 0.41760823063713004], [3.23606797749979, -2.3511410091698925]], [[1.0, 0], [0, 0]], [[1.0, 0], [-4.85484892961012, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.50158540244143939286385861094', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.6975546171669396, 'bad_primes': [3, 11], 'central_character': '33.5', 'conductor': 99, 'conductor_radical': 33, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/99/3/l/a/71/6'], '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': '2-99-33.5-c2-0-3', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-99-33.5-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6424233976557139, 'root_angle': -0.0024226725646105934, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.91182374682204558844481186731', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2423524520189548572923798931894', 'Lhash_array': ['2423524520189548572923798931894'], 'label': '2-99-33.5-c2-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/99/3/l/a/71/6'}