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lfunc_lfunctions • Show schema
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{'Lhash': '858932845341784156876543627846', 'a10': [0, -33.99182326662604], 'a2': [-3.8357304532296674, 0], 'a3': [1.7320508075688772, 0], 'a4': [10.71282810983347, 0], 'a5': [0, 8.861890500675063], 'a6': [-6.643680029132981, 0], 'a7': [0, -2.6457513110645907], 'a8': [-25.748599208184384, 0], 'a9': [3.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.160796768602342, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.7320508075688772, 0]]], [7, [[1.0, 0], [0, 2.6457513110645907]]], [23, [[1.0, 0], [-22.16413749968433, 6.144184965891475]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.22', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': '1832583468929286292844079014177', 'degree': 2, 'euler_factors': [[[1.0, 0], [3.8357304532296674, 0], [4.0, 0]], [[1.0, 0], [-1.7320508075688772, 0]], [[1.0, 0], [0, -8.861890500675063], [-25.0, 0]], [[1.0, 0], [0, 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'0.67757854190037918318471292605', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.59285959187254632972545276720', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.03899876122009279119111345756', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.160796768602342, 'bad_primes': [3, 7, 23], 'central_character': '23.22', 'conductor': 483, 'conductor_radical': 483, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/3/f/a/22/4'], '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': '2-483-23.22-c2-0-14', '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': '2-483-23.22-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6277812459687175, 'root_angle': -0.293039056244133, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.67757854190037918318471292605', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '858932845341784156876543627846', 'Lhash_array': ['858932845341784156876543627846'], 'label': '2-483-23.22-c2-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/483/3/f/a/22/4'}