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lfunc_lfunctions • Show schema
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{'Lhash': '1227872783025229887518321567821', 'a10': [3.286329507638863, 0.5794685596950969], 'a2': [-0.17364817766693036, -0.984807753012208], 'a3': [-0.7164218961074158, 1.5769399693006247], 'a4': [-0.9396926207859084, 0.3420201433256687], 'a5': [-1.1413302604290978, 3.13577911866921], 'a6': [1.6773880645018282, 0.4317050857550911], 'a7': [-1.0735637556113204, 1.8594669698832642], 'a8': [0.5, 0.8660254037844386], 'a9': [-1.9734793335557104, -2.259508645707847], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9102945830425968, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.17364817766693036, 0.984807753012208]]], [3, [[1.0, 0], [0.7164218961074158, -1.5769399693006247]]], [19, [[1.0, 0], [-4.346397901811032, -0.3298867671378523]]]], 'bad_primes': [2, 3, 19], 'central_character': '114.29', 'coefficient_field': 'CDF', 'conductor': 114, 'conductor_radical': 114, 'conjugate': '3856198151980755618666583802492', 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'-0.201539407401', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.968620835113525867493081073357', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '4.24973447452945807905841390481', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.47077155111520786637344021101', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.9102945830425968, 'bad_primes': [2, 3, 19], 'central_character': '57.29', 'conductor': 114, 'conductor_radical': 114, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/114/2/l/a/29/1'], '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': '2-114-57.29-c1-0-1', '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': '2-114-57.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9540935923915415, 'root_angle': -0.20153940740109869, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.968620835113525867493081073357', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1227872783025229887518321567821', 'Lhash_array': ['1227872783025229887518321567821'], 'label': '2-114-57.29-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/114/2/l/a/29/1'}