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lfunc_lfunctions • Show schema
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'6.94196864888982131119391313733209', '7.40374916090889450428123575067955', '7.58765644839194753908363378023752', '8.446637262097494723882953486691322', '8.448841756819302632539310932997695', '8.779807297412496253561762992226306', '9.068923594746631202902494570612727', '9.369676587058756600020413038646454', '9.466133730767755497954006892179346', '10.11555758995383618390600633519000', '10.18133385577831479801716202034285', '10.22529094599639638795276945043719', '10.95234006513408669213722949421975', '11.09370463148680809602340836496788', '11.79625474022083768406984573646318'], 'prelabel': '6-165e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.144252158394046, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c5e3-0', 'trace_hash': 610396541517322488, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.65207071322074254971014894369', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.68731680056053354668745405550', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.35840565968180940761034729307', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 18532.47789640417, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 4492125, 'conductor_radical': 165, 'degree': 6, 'dirichlet_coefficients': [1, -7, 27, -11, 75, -189, -172, 189, 486, -525, -363, -297, -654, 1204, 2025, -427, -2366, -3402, -2872, -825, -4644, 2541, 2272, 5103, 3750, 4578, 7290, 1892, -7738, -14175, 568, 1309, -9801, 16562, -12900, -5346, -9126, 20104, -17658, 14175, -8758, 32508, -14672, 3993, 36450, -15904, -19392, -11529, -23733, -26250, -63882, 7194, -4598, -51030, -27225, -32508, -77544, 54166, -9348, -22275, -60078, -3976, -83592, -3227, -49050, 68607, -38468, 26026, 61344, 90300, -74032, 91854, -44442, 63882, 101250, 31592, 62436, 123606, -108116, -32025, 98415, 61306, -81892, 51084, -177450, 102704, -208926, -68607, 167342, -255150, 112488, -24992, 15336, 135744, -215400, 35343, 159702, 166131, -176418, -41250], 'euler11': [1, 363, 43923, 1771561, 0, 0, 0], 'euler13': [1, 654, 555091, 167732852, 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['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/165/6/a/a'], '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': '6-165e3-1.1-c5e3-0-4', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5, 5, 5], 'order_of_vanishing': 3, 'prelabel': '6-165e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.144252158394046, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5e3-0', 'trace_hash': 610396541517322488, 'z1': {'__RealLiteral__': 0, 'data': '1.65207071322074254971014894369', 'prec': 103}}
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lfunc_instances • Show schema
Hide schema
{'Lhash': '2094248431233753335694201806217,2138928155005735990305741844854,2989634350077299016838518174710', 'Lhash_array': ['2094248431233753335694201806217', '2138928155005735990305741844854', '2989634350077299016838518174710'], 'label': '6-165e3-1.1-c5e3-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/165/6/a/a'}