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lfunc_lfunctions • Show schema
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{'Lhash': '2726479724756806131147738882733', 'a10': [0.30901699437494745, -0.9510565162951535], 'a2': [0.8090169943749475, -0.5877852522924731], 'a3': [-0.30901699437494745, 0.9510565162951535], 'a4': [0.30901699437494745, -0.9510565162951535], 'a5': [0.8090169943749475, -0.5877852522924731], 'a6': [0.30901699437494745, 0.9510565162951535], 'a7': [0.6180339887498949, 0.0], 'a8': [-0.30901699437494745, -0.9510565162951535], 'a9': [-0.8090169943749475, -0.5877852522924731], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.29943900757980146, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8090169943749475, 0.5877852522924731]]], [3, [[1.0, 0], [0.30901699437494745, -0.9510565162951535]]], [5, [[1.0, 0], [-0.8090169943749475, 0.5877852522924731]]]], 'bad_primes': [2, 3, 5], 'central_character': '600.461', 'coefficient_field': 'CDF', 'conductor': 600, 'conductor_radical': 30, 'conjugate': 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['2.15081326373838919591372847816320', '3.03312472714709196783661963924410', '4.75093527236746108051610999976585', '5.89463443287140223083459360678297', '6.02856331054450554983654699819021', '7.43258593177356800160634817136451', '7.84232125263057793666246361885663', '8.863762313301936080766506682848028', '10.39695385323574811243124444611030', '11.18315070121590300584834859164531'], 'prelabel': '2-600-600.461-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.5472102041992651, 'root_angle': 0.16, 'root_number': '0.87630668004386358730811590392240 + 0.48175367410171527498719150287243*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.08', 'prec': 14}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.15081326373838919591372847816', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.03312472714709196783661963924', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.75093527236746108051610999977', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.29943900757980146, 'bad_primes': [2, 3, 5], 'central_character': '600.461', 'conductor': 600, 'conductor_radical': 30, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/1/bj/b/461/1'], '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': '2-600-600.461-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-600-600.461-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.5472102041992651, 'root_angle': 0.08, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.15081326373838919591372847816', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2726479724756806131147738882733', 'Lhash_array': ['2726479724756806131147738882733'], 'label': '2-600-600.461-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/1/bj/b/461/1'}