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lfunc_lfunctions • Show schema
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{'Lhash': '1515047473872030721666367623127', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-2.2360393452269935, -0.011315767620368759], 'a6': [0, 0], 'a7': [-0.4719625608928144, -0.4719625608928144], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.498457891064382, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.2360393452269935, 0.011315767620368759]]]], 'bad_primes': [2, 3, 5], 'central_character': '1440.17', 'coefficient_field': 'CDF', 'conductor': 1440, 'conductor_radical': 30, 'conjugate': '582888571422923384196766819983', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.2360393452269935, 0.011315767620368759]], [[1.0, 0], [0.4719625608928144, 0.4719625608928144], [0, 7.0]], [[1.0, 0], [0.33565151990732167, 0], [11.0, 0]], [[1.0, 0], [-3.504042144539863, -3.504042144539863], 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.19516172169149738676647004281', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.83285329795806693875423564151', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.71287663163745686876681818488', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.498457891064382, 'bad_primes': [2, 3, 5], 'central_character': '120.77', 'conductor': 1440, 'conductor_radical': 30, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1440/2/bj/a/17/1'], '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': '2-1440-120.77-c1-0-16', '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': '2-1440-120.77-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.390937612381623, 'root_angle': 0.22441288054644412, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19516172169149738676647004281', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1515047473872030721666367623127', 'Lhash_array': ['1515047473872030721666367623127'], 'label': '2-1440-120.77-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1440/2/bj/a/17/1'}