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lfunc_lfunctions • Show schema
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{'Lhash': '1632325638274394348553357322853', 'a10': [-0.6691306063588582, 0.7431448254773942], 'a2': [0.9510565162951535, -0.30901699437494745], 'a3': [1.4323588201238526, -0.9738317156538929], 'a4': [0.8090169943749475, -0.5877852522924731], 'a5': [-0.8660254037844386, 0.5], 'a6': [1.0613236397532635, -1.3687922164086428], 'a7': [0.3962364466266489, 3.769937963252053], 'a8': [0.5877852522924731, -0.8090169943749475], 'a9': [1.1033035791731909, -2.7897528944663947], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.426087387979079, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.9510565162951535, 0.30901699437494745]]], [3, [[1.0, 0], [-1.4323588201238526, 0.9738317156538929]]], [5, [[1.0, 0], [0.8660254037844386, -0.5]]], [31, [[1.0, 0], [-0.21277354192145698, 5.563697279674569]]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.11', 'coefficient_field': 'CDF', 'conductor': 930, 'conductor_radical': 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[-8.675862451215238, -82.54531731556669]], [[1.0, 0], [-0.6357598237341227, 0.46190654954003213], [27.502512499370322, -84.64402995026867]], [[1.0, 0], [1.2392920033011292, -0.9003983450152305], [29.974648454369902, -92.2524820806299]], [[1.0, 0], [-3.4775804241121278, 4.786478822732408], [-31.210716431869688, -96.05670814581052]], [[1.0, 0], [3.850336493803902, -4.276231896322169], [-10.766431716568308, -102.43575522293216]], [[1.0, 0], [-6.147222982642297, -13.806888876403757], [-71.59697488039782, 79.51649632608118]], [[1.0, 0], [-1.324479191062916, 4.076327801665533], [-88.18285238686927, -64.06859249987957]], [[1.0, 0], [-6.735681366706962, 15.128588046925247], [-75.61175851855097, -83.97536527894555]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 25, 'label': '2-930-93.11-c1-0-25', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 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'0.9960038163781569 + 0.0893106811089618*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.01423320092', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.28767788062460460046156297187', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.29550107209071353249819138371', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.57322602390915377808399538417', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.426087387979079, 'bad_primes': [2, 3, 5, 31], 'central_character': '93.11', 'conductor': 930, 'conductor_radical': 930, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/br/a/11/20'], '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': '2-930-93.11-c1-0-25', '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': '2-930-93.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': 0.014233200920049592, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28767788062460460046156297187', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1632325638274394348553357322853', 'Lhash_array': ['1632325638274394348553357322853'], 'label': '2-930-93.11-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/930/2/br/a/11/20'}