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lfunc_lfunctions • Show schema
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{'Lhash': '1656897268712790251072649864881', 'a10': [9.340593033237592, -5.177968505603242], 'a2': [-0.7727972762488496, 0.5614700867214965], 'a3': [0.0, 0.0], 'a4': [-2.190168983104983, 6.7406470229340725], 'a5': [-11.097047203457207, -1.3621833078710763], 'a6': [0.0, 0.0], 'a7': [12.483557596416494, 0.0], 'a8': [-4.453573388767297, -13.706689500210913], '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], [11.097047203457207, 1.3621833078710763]]]], 'bad_primes': [3, 5], 'central_character': '225.136', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '339625124398515431988125287829', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7727972762488496, -0.5614700867214965], [2.4721359549995796, -7.608452130361228]], [[1.0, 0], [0, 0]], [[1.0, 0], [11.097047203457207, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.275429751291645, 'bad_primes': [3, 5], 'central_character': '25.11', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/4/h/a/136/3'], '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': '2-15e2-25.11-c3-0-22', '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': '2-15e2-25.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6435463152389933, 'root_angle': 0.21887863790355697, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.30706147925499375927632352840', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1656897268712790251072649864881', 'Lhash_array': ['1656897268712790251072649864881'], 'label': '2-15e2-25.11-c3-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/4/h/a/136/3'}