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  • lfunc_lfunctions • Show schema
    {'Lhash': '2776775637070956868607264705666', 'a10': [-0.689466971890317, 0.0], 'a2': [1.173868412535206, 0.0], 'a3': [9.69392903206014, 0.0], 'a4': [-6.622032950052076, 0.0], 'a5': [-0.5873460470763276, 0.0], 'a6': [11.37939708409338, 0.0], 'a7': [-24.46064412387535, 0.0], 'a8': [-17.164342607115103, 0.0], 'a9': [66.97226007861843, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 31.2120103930368, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[23, [[1.0, 0], [0, 0]]]], 'bad_primes': [23], 'central_character': '529.1', 'coefficient_field': 'CDF', 'conductor': 529, 'conductor_radical': 23, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.173868412535206, 0], [8.0, 0]], [[1.0, 0], [-9.69392903206014, 0], [27.0, 0]], [[1.0, 0], [0.5873460470763276, 0], [125.0, 0]], [[1.0, 0], [24.46064412387535, 0], [343.0, 0]], [[1.0, 0], [30.66588028223645, 0], [1331.0, 0]], [[1.0, 0], [27.62254330671376, 0], [2197.0, 0]], [[1.0, 0], 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'3.80990577920215339492792685912130', '4.99028376944369475159643050679800', '6.38918307496856830006457599667582', '7.56553605140577245120299409978878', '8.283488754278951983978950287656802', '9.179523110337070782250775602103459', '9.719369203717683228795142583401913'], 'prelabel': '2-23e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.58677101669979, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.19048974265544678135784786506', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.25411294296517964846426464118', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.80990577920215339492792685912', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 31.2120103930368, 'bad_primes': [23], 'central_character': '1.1', 'conductor': 529, 'conductor_radical': 23, 'degree': 2, 'index': 106, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/529/4/a/m/1/16'], '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': '2-23e2-1.1-c3-0-106', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-23e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.58677101669979, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.19048974265544678135784786506', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2776775637070956868607264705666', 'Lhash_array': ['2776775637070956868607264705666'], 'factors': ['2-23e2-1.1-c3-0-106'], 'label': '2-23e2-1.1-c3-0-106', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/529/4/a/m/1/16'}