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lfunc_lfunctions • Show schema
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'0.843343357606116739670221804741', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2316559.737050521, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 561515625, 'conductor_radical': 165, 'degree': 6, 'dirichlet_coefficients': [1, -2, 27, -56, 0, -54, -152, 144, 486, 0, -363, -1512, 546, 304, 0, 1328, 314, -972, 1808, 0, -4104, 726, -4288, 3888, 0, -1092, 7290, 8512, 5582, 0, 6328, -4576, -9801, -628, 0, -27216, -16866, -3616, 14742, 0, 23282, 8208, -20572, 20328, 0, 8576, -3432, 35856, -7893, 0, 8478, -30576, -16138, -14580, 0, -21888, 48816, -11164, 21972, 0, 8322, -12656, -73872, -4352, 0, 19602, 84332, -17584, -115776, 0, 50528, 69984, 53838, 33732, 0, -101248, 55176, -29484, 6364, 0, 98415, -46564, -96272, 229824, 0, 41144, 150714, -52272, -38938, 0, -82992, 240128, 170856, 6864, 0, -123552, 103242, 15786, -176418, 0], 'euler11': [1, 363, 43923, 1771561, 0, 0, 0], 'euler13': [1, -546, 1037131, -397760108, 385079480383, -75270736549554, 51185893014090757], 'euler17': [1, -314, 2009423, 187802020, 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['ModularForm/GL2/Q/holomorphic/825/6/a/h'], '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': '6-825e3-1.1-c5e3-0-1', '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': 0, 'prelabel': '6-825e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.502897519569103, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5e3-0', 'trace_hash': 1813139866869021716, 'z1': {'__RealLiteral__': 0, 'data': '0.36346721324190111573002025139', 'prec': 103}}
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{'Lhash': '460749431029377799037703299298,785989143719951550223285105821,1069064713467884198475664639300', 'Lhash_array': ['460749431029377799037703299298', '785989143719951550223285105821', '1069064713467884198475664639300'], 'label': '6-825e3-1.1-c5e3-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/825/6/a/h'}