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lfunc_lfunctions • Show schema
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{'Lhash': '1456741932625160773914904730902', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [168.9888330999675, 0], 'a6': [0, 0], 'a7': [13.990813954637254, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 132.5111521650342, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '576.161', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '419227249710085252322482857314', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-168.9888330999675, 0], [15625.0, 0]], [[1.0, 0], [-13.990813954637254, 0], [117649.0, 0]], [[1.0, 0], [1500.860743540337, 0], [1771561.0, 0]], [[1.0, 0], [0, 744.9405268880068], [-4826809.0, 0]], [[1.0, 0], [0, -2963.5377208966], [-24137569.0, 0]], [[1.0, 0], [0, -6311.612856244336], [-47045881.0, 0]], [[1.0, 0], [0, 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'z2': {'__RealLiteral__': 0, 'data': '2.24899269980420448781234936841', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.07002101275414379691044197352', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 132.5111521650342, 'bad_primes': [2, 3], 'central_character': '24.5', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/7/h/a/161/15'], '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': '2-24e2-24.5-c6-0-38', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-24e2-24.5-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.511348842122464, 'root_angle': 0.2770433619923482, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.14916675964409051842946957597', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1456741932625160773914904730902', 'Lhash_array': ['1456741932625160773914904730902'], 'label': '2-24e2-24.5-c6-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/7/h/a/161/15'}