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lfunc_lfunctions • Show schema
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{'Lhash': '2822783850115489974875224386817', 'a10': [1.1852506445947158e-56, -1948677.1804519685], 'a2': [75.11756637667276, -24.40717684886369], 'a3': [1006.7736367846887, 731.4638631986987], 'a4': [1733.2048876623446, -1259.2470606334473], 'a5': [7624.0735915550285, -23464.48577894152], 'a6': [93479.35335510176, 30373.283096188177], 'a7': [11948.57911480361, 16445.808268935147], 'a8': [-90698.18928438687, 124835.34795050242], 'a9': [314329.47205148725, 967406.6413818513], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.053931990039143, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '6.0', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [-1705888.3010977234, 477884.3802625519]]]], 'bad_primes': [11], 'central_character': '11.6', 'coefficient_field': 'CDF', 'conductor': 11, 'conductor_radical': 11, 'conjugate': '2867278696671342811761246967989', 'degree': 2, 'euler_factors': [[[1.0, 0], [-75.11756637667276, 24.40717684886369], [3313.7336089597848, 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'root_angle': 0.006059591213966677, 'root_number': '0.9998188062186243 + 0.019035617446384934*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.00302979560698', 'prec': 54}, 'spectral_label': 'c12-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.22678382324535833109959141438', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.58181312444173674955275436101', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.39017991273351132470810143187', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.053931990039143, 'bad_primes': [11], 'central_character': '11.6', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/13/d/a/6/10'], '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': '2-11-11.6-c12-0-7', 'motivic_weight': 12, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [12], 'order_of_vanishing': 0, 'prelabel': '2-11-11.6-c12-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1707935899454482, 'root_angle': 0.0030297956069833386, 'self_dual': False, 'spectral_label': 'c12-0', 'z1': {'__RealLiteral__': 0, 'data': '2.22678382324535833109959141438', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2822783850115489974875224386817', 'Lhash_array': ['2822783850115489974875224386817'], 'label': '2-11-11.6-c12-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/13/d/a/6/10'}