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lfunc_lfunctions • Show schema
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{'Lhash': '1995132637396467034428181363032', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-0.7071067811865476, -0.7071067811865476], 'a4': [0, 0], 'a5': [1.1748191626705367, -1.9025771824086661], 'a6': [0, 0], 'a7': [0.36080388162574867, 0.36080388162574867], 'a8': [0, 0], 'a9': [0, 1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.540253066809015, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]], [5, [[1.0, 0], [-1.1748191626705367, 1.9025771824086661]]], [11, [[1.0, 0], [-2.30183073249468, 2.387797160343191]]]], 'bad_primes': [2, 3, 5, 11], 'central_character': '1320.1033', 'coefficient_field': 'CDF', 'conductor': 1320, 'conductor_radical': 330, 'conjugate': '886355532816487489154623127110', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [-1.1748191626705367, 1.9025771824086661]], 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'-0.2984101446171038573721226248364534699081873012364868715 + 0.9544377326937568019655488540643597761614612329730654825*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.2982281603474007', 'prec': 60}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.57388213837256169480853808579', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.69491404559562459474734775948', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.12717033840580512894819156556', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.540253066809015, 'bad_primes': [2, 3, 5, 11], 'central_character': '55.43', 'conductor': 1320, 'conductor_radical': 330, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1320/2/bu/b/1033/7'], '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': '2-1320-55.43-c1-0-29', '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': '2-1320-55.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.24657559080472, 'root_angle': 0.2982281603474007, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.57388213837256169480853808579', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1995132637396467034428181363032', 'Lhash_array': ['1995132637396467034428181363032'], 'label': '2-1320-55.43-c1-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1320/2/bu/b/1033/7'}