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lfunc_lfunctions • Show schema
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{'Lhash': '1530144570743359305207822900770', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0.9381953796842226, 2.8495244216428777], 'a4': [0, 0], 'a5': [-4.888066705691399, -1.0520474707498895], 'a6': [0, 0], 'a7': [0, -6.8121901006985075], 'a8': [0, 0], 'a9': [-7.239578859078355, 5.34682129336541], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 26.158105378588505, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.9381953796842226, -2.8495244216428777]]], [5, [[1.0, 0], [4.888066705691399, 1.0520474707498895]]]], 'bad_primes': [2, 3, 5], 'central_character': '960.449', 'coefficient_field': 'CDF', 'conductor': 960, 'conductor_radical': 30, 'conjugate': '280383343976586538207369513017', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.9381953796842226, -2.8495244216428777]], [[1.0, 0], [4.888066705691399, 1.0520474707498895]], [[1.0, 0], [0, 6.8121901006985075], [-49.0, 0]], [[1.0, 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-0.9891654883536387, -0.358181991396647, 0.3271335984727185], 'positive_zeros': ['1.20707123119562295836735864717608', '2.83782001641511801366556214753832', '3.26219709093679832099823368627065', '4.83081207115366178491982179256182', '5.94365087333689665816217092207462', '6.59632170040134875420378763422141', '7.77710049740249739172481463758900', '8.218320046473231862493677563763124', '8.810382318222822264932868912690609', '10.02694615360341258417387771169577'], 'prelabel': '2-960-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.114499523764618, 'root_angle': 0.466235624013706, 'root_number': '0.1058751092159011897008137588385277056834668273502318377 + 0.9943794352502071907315623285092049157484224378098788734*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.233117812006853', 'prec': 57}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20707123119562295836735864718', 'prec': 103}, 'z2': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 26.158105378588505, 'bad_primes': [2, 3, 5], 'central_character': '15.14', 'conductor': 960, 'conductor_radical': 30, 'degree': 2, 'index': 62, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/960/3/c/k/449/8'], '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': '2-960-15.14-c2-0-62', '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': '2-960-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.114499523764618, 'root_angle': 0.233117812006853, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20707123119562295836735864718', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1530144570743359305207822900770', 'Lhash_array': ['1530144570743359305207822900770'], 'label': '2-960-15.14-c2-0-62', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/960/3/c/k/449/8'}