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lfunc_lfunctions • Show schema
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'9.440195046436596098741513155774622', '9.740625732786603178422860955746638', '9.748782798612067164587419733807107', '10.47857349900496496955351377503316', '10.52834706060518849615971317137450', '11.28788386475852586861972154692494', '11.38871870626451435951230400215360', '11.76637858324474675292128512328310', '11.83172045774399126358625590939194', '12.20313426021897394366406670674040', '12.97725667584750440774115446169538', '13.01965795004727868703061444762487'], 'prelabel': '6-135e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.822278840011204, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c3e3-0', 'trace_hash': 240243843722861826, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.11031820612410364928005082638', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.16991633633344706421380871163', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.96515825962907054043415800713', 'prec': 103}}
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lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 505.3584338208217, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 2460375, 'conductor_radical': 15, 'degree': 6, 'dirichlet_coefficients': [1, -1, 0, 0, 15, 0, 44, -9, 0, -15, 38, 0, 28, -44, 0, 11, -19, 0, 187, 0, 0, -38, -81, 0, 150, -28, 0, 0, 160, 0, 227, -58, 0, 19, 660, 0, 78, -187, 0, -135, -338, 0, 22, 0, 0, 81, -472, 0, 355, -150, 0, 0, 521, 0, 570, -396, 0, -160, 140, 0, 595, -227, 0, -311, 420, 0, 878, 0, 0, -660, -602, 0, 1294, -78, 0, 0, 1672, 0, 629, 165, 0, 338, -1287, 0, -285, -22, 0, -342, 2154, 0, 1232, 0, 0, 472, 2805, 0, 1392, -355, 0, 0], 'euler11': [1, -38, 1381, -17876, 1838111, -67319318, 2357947691], 'euler13': [1, -28, 2015, -22912, 4426955, -135150652, 10604499373], 'euler17': [1, 19, 3262, -367193, 16026206, 458613811, 118587876497], 'euler19': [1, -187, 24164, -2039395, 165740876, -8797579747, 322687697779], 'euler2': [1, 1, 1, 10, 8, 64, 512], 'euler23': [1, 81, 13200, -72927, 160604400, 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[3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '6-135e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.822278840011204, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 240243843722861826, 'z1': {'__RealLiteral__': 0, 'data': '1.11031820612410364928005082638', 'prec': 103}}
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lfunc_instances • Show schema
Hide schema
{'Lhash': '1407495540437550925126643317598,1483045145969905276261471495586,2491134047362253941465130316496', 'Lhash_array': ['1407495540437550925126643317598', '1483045145969905276261471495586', '2491134047362253941465130316496'], 'label': '6-135e3-1.1-c3e3-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/135/4/a/f'}