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lfunc_lfunctions • Show schema
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{'Lhash': '2026132576816842229890077834985', 'a10': [-13.426993348731678, -36.53205671426759], 'a2': [2.816378906207303, 2.046219050336827], 'a3': [0.0, 0.0], 'a4': [1.2728417863685175, 3.917404211335127], 'a5': [-9.288560738987153, -6.222751754501094], 'a6': [0.0, 0.0], 'a7': [12.508199785526374, 0.0], 'a8': [4.175025768747363, -12.849408075756218], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.275429751291645, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [9.288560738987153, 6.222751754501094]]]], 'bad_primes': [3, 5], 'central_character': '225.91', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1326654123655611158926262031681', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.816378906207303, -2.046219050336827], [2.4721359549995796, 7.608452130361228]], [[1.0, 0], [0, 0]], [[1.0, 0], [9.288560738987153, 6.222751754501094]], 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'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.34617403876803135298316942948', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.94732983259767392701447825425', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.275429751291645, 'bad_primes': [3, 5], 'central_character': '25.16', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/4/h/b/91/6'], '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': '2-15e2-25.16-c3-0-24', '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': '2-15e2-25.16-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6435463152389933, 'root_angle': 0.00788666181114162, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.59833677864551539951911296598', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2026132576816842229890077834985', 'Lhash_array': ['2026132576816842229890077834985'], 'label': '2-15e2-25.16-c3-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/4/h/b/91/6'}