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lfunc_lfunctions • Show schema
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{'Lhash': '2271019311210454710876126804128', 'a10': [1.487369488962923, -3.9281921470816115], 'a2': [-0.6912590915847149, -1.2337588371725954], 'a3': [1.3820773110332254, -1.043964705498787], 'a4': [-1.0443217366029496, 1.7056940260370848], 'a5': [1.9091420468912992, 2.275226893155369], 'a6': [-2.2433741876300872, -0.9835000021733837], 'a7': [1.282665967759203, -0.4668522327706022], 'a8': [2.8263119731020834, 0.10936466842545052], 'a9': [0.8202753873456616, -2.8856798659787133], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.6912590915847149, 1.2337588371725954]]], [3, [[1.0, 0], [-1.3820773110332254, 1.043964705498787]]]], 'bad_primes': [2, 3], 'central_character': '216.133', 'coefficient_field': 'CDF', 'conductor': 216, 'conductor_radical': 6, 'conjugate': '2365782863812779920028071797052', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.79151834961587802677877758685', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.07476749562733212456117344617', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.33092143142541678694721767862', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'bad_primes': [2, 3], 'central_character': '216.133', 'conductor': 216, 'conductor_radical': 6, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/216/2/t/a/133/11'], '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': '2-6e3-216.133-c1-0-18', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-6e3-216.133-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3133044900782367, 'root_angle': 0.15097659665447388, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.79151834961587802677877758685', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2271019311210454710876126804128', 'Lhash_array': ['2271019311210454710876126804128'], 'factors': ['2-6e3-216.133-c1-0-18'], 'label': '2-6e3-216.133-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/216/2/t/a/133/11'}