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lfunc_lfunctions • Show schema
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{'Lhash': '1068172501101348516724908616000', 'a10': [-2.9506566714054046, -1.6361786377300171], 'a2': [-0.25186768377433083, 1.3916043510531841], 'a3': [-0.989596658408232, -1.4215127342613787], 'a4': [-1.8731253397403074, -0.7010003292600926], 'a5': [-0.7668691249626036, 2.2591235930589826], 'a6': [2.2274307242997424, -1.019093895794458], 'a7': [-2.3072218157816327, -1.770393566503068], 'a8': [1.4472948490274573, -2.4300900435948027], 'a9': [-1.041396907334522, 2.813448503419619], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.599383156425752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.25186768377433083, -1.3916043510531841]]], [3, [[1.0, 0], [0.989596658408232, 1.4215127342613787]]]], 'bad_primes': [2, 3], 'central_character': '576.275', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '1117735368934105674233481084293', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.7371682023217858 - 0.6757092877012026*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.118081263096', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.842639526151002020583589701828', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.82147278609321738211893919186', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.92841907054158274842683063098', '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': '576.275', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/2/bl/a/275/45'], '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': '2-24e2-576.275-c1-0-22', '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': '2-24e2-576.275-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': -0.11808126309604271, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.842639526151002020583589701828', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1068172501101348516724908616000', 'Lhash_array': ['1068172501101348516724908616000'], 'label': '2-24e2-576.275-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/2/bl/a/275/45'}