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lfunc_lfunctions • Show schema
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{'Lhash': '1027466256246133245270679037625', 'a10': [2.1948327391696223, 0.4274450222767523], 'a2': [-0.21256528955297668, 0.9771468659711595], 'a3': [-0.4091593696897977, 0.3062928675802267], 'a4': [-0.9096319953545183, -0.41541501300188644], 'a5': [-0.0488686928292427, -2.235533907338728], 'a6': [-0.21232003573391264, -0.4649160278603233], 'a7': [-0.3187442712511878, 4.456627243565395], 'a8': [0.599277666511347, -0.8005412409243604], 'a9': [-0.7716016014498548, 2.62783372756428], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.21256528955297668, -0.9771468659711595]]], [5, [[1.0, 0], [0.0488686928292427, 2.235533907338728]]], [23, [[1.0, 0], [-0.9733198089157291, 4.696024760323592]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.103', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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'2-230-115.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': -0.3364612360585661, 'root_number': '-0.5169225093918055 - 0.8560321952380522*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.336461236059', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.810527960986368746907402475954', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '3.20576081891914882889171784265', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.82083311801919878829941467014', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.103', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/l/a/103/2'], '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': '2-230-115.103-c1-0-2', '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': '2-230-115.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': -0.3364612360585661, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.810527960986368746907402475954', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1027466256246133245270679037625', 'Lhash_array': ['1027466256246133245270679037625'], 'factors': ['2-230-115.103-c1-0-2'], 'label': '2-230-115.103-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/l/a/103/2'}