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'trace_hash': 1322896584743253201, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.19414602813226873201606674796', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.22370731480916464827012271222', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.62620311924091385288034766873', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1154118280.517433, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 4452333402007443603456, 'conductor_radical': 78, 'degree': 12, 'dirichlet_coefficients': [1, 0, -6, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -3, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 126, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -18, 0, 279, 0, -4380, 0, 33759, 0, -263538, 0, 1771561], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, 0, 60, -32, 1920, -960, 40682, -16320, 554880, -157216, 5011260, 0, 24137569], 'euler19': [1, 0, -6, 0, 999, 0, -4084, 0, 360639, 0, -781926, 0, 47045881], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 90, -16, 4095, -720, 117548, -16560, 2166255, -194672, 25185690, 0, 148035889], 'euler29': [1, 24, 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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': '12-4056e6-1.1-c1e6-0-1', 'motivic_weight': 1, '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-4056e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.690986123672358, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1322896584743253201, 'z1': {'__RealLiteral__': 0, 'data': '0.19414602813226873201606674796', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '246109329093797169304996018659,283582711893283038447740235538,793806759970533953271806890358,1315595375349141773762677382569,1680461566988747505089329334651,2402269461858391221523198848696', 'Lhash_array': ['246109329093797169304996018659', '283582711893283038447740235538', '793806759970533953271806890358', '1315595375349141773762677382569', '1680461566988747505089329334651', '2402269461858391221523198848696'], 'label': '12-4056e6-1.1-c1e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4056/2/c/m'}