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lfunc_lfunctions • Show schema
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'10.23747172699111496466814559363045'], 'prelabel': '12-975e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.790235509249146, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 1781910323742091434, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.05889724693817678428696016877', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.46982835383278973730882110018', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.02974877031961659798242959458', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 222684.67810147133, 'bad_primes': [3, 5, 13], 'central_character': '1.1', 'conductor': 859068301025390625, 'conductor_radical': 195, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, -2, 0, 0, 0, 0, -3, 0, 2, 0, 0, 0, 0, 7, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 12, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 18, 0, 0, -4, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 24, 0, 0, -10, 0, 6, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0], 'euler11': [1, -2, 35, -110, 739, -1908, 10706, -20988, 89419, -146410, 512435, -322102, 1771561], 'euler13': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler17': [1, 0, -37, 0, 1091, 0, -19758, 0, 315299, 0, -3090277, 0, 24137569], 'euler19': [1, 12, 118, 820, 5207, 27128, 130484, 515432, 1879727, 5624380, 15377878, 29713188, 47045881], 'euler2': [1, 0, 2, 0, -3, 0, -16, 0, -12, 0, 32, 0, 64], 'euler23': [1, 0, -57, 0, 2531, 0, -64070, 0, 1338899, 0, 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'prelabel': '12-975e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.790235509249146, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1781910323742091434, 'z1': {'__RealLiteral__': 0, 'data': '0.05889724693817678428696016877', 'prec': 103}}
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{'Lhash': '74661130432970046925939252966,595578194740376854174808358167,1305361646779943117744397854680,1566959657752590721805287501540,2088461349119966435909242211860,2174159623797467690567360224304', 'Lhash_array': ['74661130432970046925939252966', '595578194740376854174808358167', '1305361646779943117744397854680', '1566959657752590721805287501540', '2088461349119966435909242211860', '2174159623797467690567360224304'], 'label': '12-975e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/975/2/c/i'}