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{'algebraic': True, 'analytic_conductor': 54.96662620336794, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 30, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, -256, 6561, 65536, 390625, -1679616, 1929536, -16777216, 43046721, -100000000, 352985820, 429981696, -3500000218, -493961216, 2562890625, 4294967296, -54970977894, -11019960576, 31092978236, 25600000000, 12659685696, -90364369920, -316297396800, -110075314176, 152587890625, 896000055808, 282429536481, 126454071296, 3237919791294, -656100000000, -6515774619112, -1099511627776, 2315939965020, 14072570340864, 753725000000, 2821109907456, 26233622989982, -7959802428416, -22963501430298, -6553600000000, 44280220470714, -3240879538176, -6124629403444, 23133278699520, 16815125390625, 80972133580800, -44171951954040, 28179280429056, -228907404811911, -39062500000000, -360664585962534, -229376014286848, -489680642744826, -72301961339136, 137885085937500, -32372242251776, 204001030206396, -828907466571264, -820004055924180, 167961600000000, -2460927715419250, 1668038302492672, 83060197851456, 281474976710656, -1367187585156250, -592880631045120, -4871518631786044, -3602578007261184, -2075227220404800, -192953600000000, 4555031256305160, -722204136308736, 1598431505471162, -6715807485435392, 1001129150390625, 2037709421674496, 681098847179520, 5878656366156288, -7625872763936872, 1677721600000000, 1853020188851841, -11335736440502784, -19662256866055308, 829665161773056, -21473038239843750, 1567905127281664, 21243991750679934, -5922119347077120, -15591056930648502, -4304672100000000, -6753376420638848, -20728866196684800, -42749997275993832, 11308019700234240, 12145694623437500, -7213895789838336, -17776788467854078, 58600295631849216, 15194882110496220, 10000000000000000], 'euler11': [1, -352985820, 505447028499293771], 'euler13': [1, 3500000218, 8650415919381337933], 'euler17': [1, 54970977894, 827240261886336764177], 'euler19': [1, -31092978236, 5480386857784802185939], 'euler2': [1, 256, 0], 'euler23': [1, 316297396800, 141050039560662968926103], 'euler29': [1, -3237919791294, 7257147736730073114838109], 'euler3': [1, -6561, 0], 'euler31': [1, 6515774619112, 22550116774162743178682911], 'euler37': [1, -26233622989982, 456487940826035155404146917], 'euler41': [1, -44280220470714, 2614120267500775228203738281], 'euler43': [1, 6124629403444, 5874403106360420018879553643], 'euler47': [1, 44171951954040, 26647936506962193439322192687], 'euler5': [1, -390625, 0], 'euler53': [1, 489680642744826, 205442259656281392806087233013], 'euler59': [1, 820004055924180, 1271991467017507741703714391419], 'euler61': [1, 2460927715419250, 2241853325254885342546716970621], 'euler67': [1, 4871518631786044, 11047694236668359048016134593027], 'euler7': [1, -1929536, 232630513987207], 'euler71': [1, -4555031256305160, 29606831241262271996845213307591], 'euler73': [1, -1598431505471162, 47477585226700098686074966922953], 'euler79': [1, 7625872763936872, 181827912146592045345270516890959], 'euler83': [1, 19662256866055308, 421044084813170691455703581173523], 'euler89': [1, 15591056930648502, 1379209096840925342723840168019929], 'euler97': [1, 17776788467854078, 5958260438588051333281183456765537], 'euler_factors': [[1, 256, 0], [1, -6561, 0], [1, -390625, 0], [1, -1929536, 232630513987207], [1, -352985820, 505447028499293771], [1, 3500000218, 8650415919381337933], [1, 54970977894, 827240261886336764177], [1, -31092978236, 5480386857784802185939], [1, 316297396800, 141050039560662968926103], [1, -3237919791294, 7257147736730073114838109], [1, 6515774619112, 22550116774162743178682911], [1, -26233622989982, 456487940826035155404146917], [1, -44280220470714, 2614120267500775228203738281], [1, 6124629403444, 5874403106360420018879553643], [1, 44171951954040, 26647936506962193439322192687], [1, 489680642744826, 205442259656281392806087233013], [1, 820004055924180, 1271991467017507741703714391419], [1, 2460927715419250, 2241853325254885342546716970621], [1, 4871518631786044, 11047694236668359048016134593027], [1, -4555031256305160, 29606831241262271996845213307591], [1, -1598431505471162, 47477585226700098686074966922953], [1, 7625872763936872, 181827912146592045345270516890959], [1, 19662256866055308, 421044084813170691455703581173523], [1, 15591056930648502, 1379209096840925342723840168019929], [1, 17776788467854078, 5958260438588051333281183456765537]], 'id': 22737539, 'index': 7, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/30/18/a/c/1/1', 'ModularForm/GL2/Q/holomorphic/30/18/a/c'], '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': '2-30-1.1-c17-0-7', 'motivic_weight': 17, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [17], 'order_of_vanishing': 1, 'prelabel': '2-30-1.1-c17-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 7.413948084749983, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c17-0', 'trace_hash': 81400952567860839, 'z1': {'__RealLiteral__': 0, 'data': '1.66479805116529233065018917827', 'prec': 103}}