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lfunc_lfunctions • Show schema
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{'Lhash': '1410924031275028384631965228357', 'a10': [10.467113307254452, -2.1531062468072864], 'a2': [-0.18304769776054935, 1.9916057693089169], 'a3': [1.0988014001519144, -1.3388933800061125], 'a4': [-3.932987080689125, -0.72911770183725], 'a5': [-1.5510299540420494, -5.113060527306543], 'a6': [2.4654147135158135, 2.433460558624228], 'a7': [-2.3818418221572664, 11.974327456528217], 'a8': [2.1720392519264538, -7.6994964438001245], 'a9': [-0.5852709660483848, -2.9423558412096913], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.463242151435402, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.18304769776054935, -1.9916057693089169]]], [3, [[1.0, 0], [-1.0988014001519144, 1.3388933800061125]]]], 'bad_primes': [2, 3], 'central_character': '384.235', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '1234430408697046430148594826049', 'degree': 2, 'euler_factors': [[[1.0, 0], 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-0.15515859192911613, 'root_number': '0.8835323831565146 - 0.4683700758094712*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0775792959646', 'prec': 54}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.11302280850969806285234838380', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.99526983905883382878941531083', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.79389051862900921467519517136', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.463242151435402, 'bad_primes': [2, 3], 'central_character': '128.107', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/3/u/a/235/31'], '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': '2-384-128.107-c2-0-24', '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': '2-384-128.107-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.2346935173885334, 'root_angle': -0.07757929596455806, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.11302280850969806285234838380', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1410924031275028384631965228357', 'Lhash_array': ['1410924031275028384631965228357'], 'label': '2-384-128.107-c2-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/3/u/a/235/31'}