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lfunc_lfunctions • Show schema
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{'Lhash': '2738141403714324167614987109661', 'a10': [-2.9506566714054046, 1.6361786377300171], 'a2': [-1.3310985619161808, -0.4776783629856759], 'a3': [0.934604274491558, -1.458257470442757], 'a4': [1.5436467630706499, 1.2716739640574173], 'a5': [1.5730238593965555, -1.7936899401250492], 'a6': [-1.9406284470291573, 1.494644181931339], 'a7': [-0.37959489539737545, -2.883309487884088], 'a8': [-1.4472948490274573, -2.4300900435948027], 'a9': [-1.2530297002042168, -2.7257873303700952], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.599383156425752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3310985619161808, 0.4776783629856759]]], [3, [[1.0, 0], [-0.934604274491558, 1.458257470442757]]]], 'bad_primes': [2, 3], 'central_character': '576.347', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '1122456237486237890310369094194', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'-0.744699357480792 + 0.6674000801376154*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.38370356253', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.16001270635721369943563794322', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.87456908818606540938560086859', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.55601489607437446976234207784', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.599383156425752, 'bad_primes': [2, 3], 'central_character': '576.347', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 77, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/2/bl/a/347/11'], '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': '2-24e2-576.347-c1-0-77', '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': '2-24e2-576.347-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': 0.3837035625296653, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.16001270635721369943563794322', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2738141403714324167614987109661', 'Lhash_array': ['2738141403714324167614987109661'], 'label': '2-24e2-576.347-c1-0-77', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/2/bl/a/347/11'}