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lfunc_lfunctions • Show schema
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{'Lhash': '1939722083486330511163619236686', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.46361304346156684, 2.963960685625284], 'a4': [0.0, 0.0], 'a5': [-2.7304071222426374, -2.03271278853496], 'a6': [0.0, 0.0], 'a7': [-1.1215415623012763, -0.737649489729668], 'a8': [0.0, 0.0], 'a9': [-8.570125891864606, -2.7482616683263403], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.82836056527362, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.46361304346156684, -2.963960685625284]]]], 'bad_primes': [2, 3], 'central_character': '324.65', 'coefficient_field': 'CDF', 'conductor': 324, 'conductor_radical': 6, 'conjugate': '621121211622485578599621464847', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.46361304346156684, -2.963960685625284]], [[1.0, 0], [2.7304071222426374, 2.03271278853496], [7.170080817777256, 23.94973780788722]], [[1.0, 0], [1.1215415623012763, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.82836056527362, 'bad_primes': [2, 3], 'central_character': '81.65', 'conductor': 324, 'conductor_radical': 6, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/324/3/o/a/65/9'], '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': '2-18e2-81.65-c2-0-12', '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': '2-18e2-81.65-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9712557219589195, 'root_angle': 0.1759380968126254, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.53017091865621372183395886371', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1939722083486330511163619236686', 'Lhash_array': ['1939722083486330511163619236686'], 'label': '2-18e2-81.65-c2-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/324/3/o/a/65/9'}