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lfunc_lfunctions • Show schema
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{'Lhash': '2203602756056816633032721792453', 'a10': [0.30371660252196, 0.30117705403890144], 'a2': [1.161851213985864, 0.8062888790995284], 'a3': [-1.3341709676798217, 1.10453059215229], 'a4': [0.6997964868808523, 1.8735754260101773], 'a5': [0.29785460632966265, 0.05251980342421785], 'a6': [-2.440678891541104, 0.20757299531896706], 'a7': [-0.3120696292120012, -0.3719101017529455], 'a8': [-0.6975836323206062, 2.741054008208957], 'a9': [0.560024341999423, -2.9472652979275744], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.8623843418298286, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.161851213985864, -0.8062888790995284]]], [3, [[1.0, 0], [1.3341709676798217, -1.10453059215229]]]], 'bad_primes': [2, 3], 'central_character': '108.23', 'coefficient_field': 'CDF', 'conductor': 108, 'conductor_radical': 6, 'conjugate': '4326753857736717067502817948928', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'-0.229656215342', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.73833606489049682407962373563', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.85260262705354219408419612325', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.52753959624336696368829056822', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.8623843418298286, 'bad_primes': [2, 3], 'central_character': '108.23', 'conductor': 108, 'conductor_radical': 6, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/108/2/l/a/23/14'], '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': '2-108-108.23-c1-0-4', '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': '2-108-108.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.928646510697062, 'root_angle': -0.2296562153419519, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.73833606489049682407962373563', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2203602756056816633032721792453', 'Lhash_array': ['2203602756056816633032721792453'], 'label': '2-108-108.23-c1-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/108/2/l/a/23/14'}