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lfunc_lfunctions • Show schema
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{'Lhash': '1322821625508931909490480669042', 'a10': [-2.8956269829544916, -1.2709619882537277], 'a2': [1.0493016241948987, 0.948138229090014], 'a3': [0.4539904997395468, 0.8910065241883679], 'a4': [0.20206779707610445, 1.989765967490853], 'a5': [-2.1217168725301674, 0.7059160805795587], 'a6': [-0.36842437920584764, 1.3653803414458499], 'a7': [-1.446076447054038, -1.446076447054038], 'a8': [-1.674543113050914, 2.279452864731744], 'a9': [-0.5877852522924731, 0.8090169943749475], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3955120606384126, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0493016241948987, -0.948138229090014]]], [3, [[1.0, 0], [-0.4539904997395468, -0.8910065241883679]]], [5, [[1.0, 0], [2.1217168725301674, -0.7059160805795587]]]], 'bad_primes': [2, 3, 5], 'central_character': '300.223', 'coefficient_field': 'CDF', 'conductor': 300, 'conductor_radical': 30, 'conjugate': 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'-0.6534773251791057 - 0.7569460915261809*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.363345259104', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.04352226494490630739544520440', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.09533789943498907211317008454', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.69075705910415961771925594310', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3955120606384126, 'bad_primes': [2, 3, 5], 'central_character': '100.23', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/2/w/a/223/23'], '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': '2-300-100.23-c1-0-6', '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': '2-300-100.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5477441844951034, 'root_angle': -0.3633452591041865, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04352226494490630739544520440', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1322821625508931909490480669042', 'Lhash_array': ['1322821625508931909490480669042'], 'label': '2-300-100.23-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/300/2/w/a/223/23'}