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lfunc_lfunctions • Show schema
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{'Lhash': '2875703930130757366060926221722', 'a10': [-0.6168609856951542, -1.7628874142626694], 'a2': [0.48804931327047985, 0.7767260325157269], 'a3': [-1.6618969528493084, 4.749428623173406], 'a4': [1.3704237590663972, -2.8457142580724666], 'a5': [-1.9849651048477885, -0.4530553320736675], 'a6': [-4.500092517758519, 1.027116751330322], 'a7': [9.56374348418275, -4.605656122768294], 'a8': [6.525425260254305, -0.7352388481712998], 'a9': [-12.758687422516754, -10.174713696525739], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7901927666448612, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[29, [[1.0, 0], [15.791323048893037, -24.323530096708815]]]], 'bad_primes': [29], 'central_character': '29.19', 'coefficient_field': 'CDF', 'conductor': 29, 'conductor_radical': 29, 'conjugate': '5736171753427408617852480224274', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.48804931327047985, -0.7767260325157269], [-1.7355349564702325, 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0.8850778428064309*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.172947506063', 'prec': 50}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.26853040547057054155404056923', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.37205647845159185847971192468', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '7.56610913536133841216382978870', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7901927666448612, 'bad_primes': [29], 'central_character': '29.19', 'conductor': 29, 'conductor_radical': 29, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/29/3/f/a/19/3'], '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': '2-29-29.19-c2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-29-29.19-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8889278748272332, 'root_angle': -0.17294750606274245, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.26853040547057054155404056923', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2875703930130757366060926221722', 'Lhash_array': ['2875703930130757366060926221722'], 'label': '2-29-29.19-c2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/29/3/f/a/19/3'}