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'1.45652072636287962982940390657', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4655.608216593618, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 384160000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 4, 0, 0, 0, 96, 0, 96, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 56, 0, 0, 0, 280, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 384, 0, 0, 0, -98, 0, 0, 0, 0, 0, 384, 0, 0, 0, -1136, 0, -936, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1944, 0, 0, 0, 0, 0, 0, 0, -1928, 0, 5454, 0, 0, 0, 0, 0, 0, 0, 3304, 0, 0, 0, 0, 0, 704, 0, 0, 0, 9216, 0], 'euler11': [1, -96, 6428, -325728, 13928214, -433543968, 11387594108, -226362978336, 3138428376721], 'euler13': [1, 0, -2048, 0, 8213778, 0, -9885304832, 0, 23298085122481], 'euler17': [1, 0, -12348, 0, 83683910, 0, -298050702012, 0, 582622237229761], 'euler19': [1, -176, 38464, -3910544, 436253554, -26822421296, 1809572766784, -56793034809104, 2213314919066161], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -48228, 0, 877537958, 0, 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0, 693842360995438000295041], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -96, 0, 3762, 0, -69984, 0, 531441], [1, -4, -40, -500, 15625, 0, 0, 0, 0], [1, 0, 98, 0, 2401, 0, 0, 0, 0], [1, -96, 6428, -325728, 13928214, -433543968, 11387594108, -226362978336, 3138428376721], [1, 0, -2048, 0, 8213778, 0, -9885304832, 0, 23298085122481], [1, 0, -12348, 0, 83683910, 0, -298050702012, 0, 582622237229761], [1, -176, 38464, -3910544, 436253554, -26822421296, 1809572766784, -56793034809104, 2213314919066161], [1, 0, -48228, 0, 877537958, 0, -7139474854692, 0, 21914624432020321], [1, -280, 124604, -21529480, 4902155446, -525082487720, 74117365089884, -4062000873243320, 353814783205469041], [1, -208, 133036, -18907408, 6153878374, -563270591728, 118069939705516, -5499441409419568, 787662783788549761], [1, 0, -108716, 0, 6254620278, 0, -278935512280844, 0, 6582952005840035281], [1, -360, 39692, -26124120, 13979582598, -1800500474520, 188541137533772, -117857496381825960, 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'prec': 10}], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-140e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.874068092583001, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 1059471746373294858, 'z1': {'__RealLiteral__': 0, 'data': '0.999589175542695498118222888588', 'prec': 107}}
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{'Lhash': '1267129818358338913083556506664,1405763378917383531795246137574,1846359373018761034126365199842,2238506087774588219493297800166', 'Lhash_array': ['1267129818358338913083556506664', '1405763378917383531795246137574', '1846359373018761034126365199842', '2238506087774588219493297800166'], 'label': '8-140e4-1.1-c3e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/140/4/e/c'}