{'Lhash': '1979140866714814775171984617884', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [3.1700864866260337, 0.0], 'a6': [0.0, 0.0], 'a7': [0.5391888728108891, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 47.14367735336396, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [41, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 41], 'central_character': '5904.1', 'coefficient_field': 'CDF', 'conductor': 5904, 'conductor_radical': 246, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.1700864866260337, 0], [5.0, 0]], [[1.0, 0], [-0.5391888728108891, 0], [7.0, 0]], [[1.0, 0], [1.8299135133739663, 0], [11.0, 0]], [[1.0, 0], [4.879361846062957, 0], [13.0, 0]], [[1.0, 0], [0.6175666184326674, 0], [17.0, 0]], [[1.0, 0], [8.297912564936802, 0], [19.0, 0]], [[1.0, 0], [4.091708741004256, 0], [23.0, 0]], [[1.0, 0], [-8.667014951121658, 0], [29.0, 0]], [[1.0, 0], [-3.4474801318066337, 0], [31.0, 0]], [[1.0, 0], [-8.127826078310768, 0], [37.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [4.261795227630289, 0], [43.0, 0]], [[1.0, 0], [2.6175666184326674, 0], [47.0, 0]], [[1.0, 0], [4.971070587067212, 0], [53.0, 0]], [[1.0, 0], [-0.183417482008511, 0], [59.0, 0]], [[1.0, 0], [6.601968200882356, 0], [61.0, 0]], [[1.0, 0], [0.8949602636132673, 0], [67.0, 0]], [[1.0, 0], [14.957739591684735, 0], [71.0, 0]], [[1.0, 0], [10.418550718873846, 0], [73.0, 0]], [[1.0, 0], [-7.601968200882356, 0], [79.0, 0]], [[1.0, 0], [-13.667014951121658, 0], [83.0, 0]], [[1.0, 0], [4.1567554912435565, 0], [89.0, 0]], [[1.0, 0], [10.695944364054446, 0], [97.0, 0]], [[1.0, 0], [9.382433381567333, 0], [101.0, 0]], [[1.0, 0], [1.241276307874087, 0], [103.0, 0]], [[1.0, 0], [17.36069189300827, 0], [107.0, 0]], [[1.0, 0], [-1.3040556359455544, 0], [109.0, 0]], [[1.0, 0], [17.452400634012527, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 21019423, 'index': 93, 'label': '2-5904-1.1-c1-0-93', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/5904/2/a/bo/1/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [-1.1315678171267037e-60, 0.21825223772100472, 0.43563339846303667, 0.6512306799267694, 0.8640507018309372, 1.072986192086158, 1.2767904917626567, 1.47406164043345, 1.6632372113768703, 1.8426004585312117, 2.0102977627670318, 2.1643668577265256, 2.3027748925793032, 2.4234650537509297, 2.524410213139322, 2.6036718843588393, 2.6594626377626045, 2.6902100377634324, 2.6946201140566997, 2.671738357366687, 2.6210062394565545, 2.542311298267155, 2.4360289058280693, 2.3030539533952066, 2.1448208493231413, 1.9633104337717047, 1.761042672278252, 1.541054297397267, 1.3068609217420328, 1.0624035422721163, 0.811979787632761, 0.5601607185891337, 0.3116944648481946, 0.07139845674132203, -0.1559575272088213, -0.36577484151441725, -0.5537529385688573, -0.7160164427764412, -0.8492387068441087, -0.9507580612530211, -1.0186829097682142, -1.0519818797942972, -1.050555413912586, -1.0152854920557601, -0.9480606026196489, -0.8517736312904024, -0.7302909999658878, -0.5883921518661879, -0.4316793253475459, -0.2664584664919754, -0.09959307394553764, 0.0616662797132709, 0.20987307840092245, 0.3375921014152038, 0.43761744429298244, 0.5031953326438557, 0.5282452283945445, 0.5075723945009672, 0.43706495202019685, 0.3138685501478197, 0.13653208671219566, -0.0948815322556672, -0.37872482370071825, -0.7117395794110145, -1.0890781708342812, -1.5043739724263052, -1.9498610700149, -2.416541832703485, -2.8943992994397316, -3.3726497184104005, -3.8400290355442555, -4.285105715149746, -4.696611047461755, -5.063777107700855, -5.376671826782862, -5.626520255135674, -5.806001078782676, -5.909507800353141, -5.93336473382944, -5.875989073930292, -5.737991768256751, -5.522211707767833, -5.233679810265888, -4.879511841266172, -4.468731224864574, -4.012025563145867, -3.521443019204353, -3.0100370356376214, -2.4914699671006093, -1.9795880153264014, -1.4879812880774597, -1.029543790355009, -0.6160486410685853, -0.25775375193872385, 0.03694741280740554, 0.2618165573036574, 0.4129910368036641, 0.48912460027385063, 0.4914415395067546, 0.4237003882280058, 0.29206655825248506, 0.10489667491737158, -0.12755924444466457, -0.39352836804581603, -0.6801459806488684, -0.9739317459727207, -1.2612941574800025, -1.5290445134612938, -1.7649009125434578, -1.9579626645526353, -2.0991361789116922, -2.181494828463883, -2.200557459706213, -2.154473068679444, -2.0441025931330064, -1.8729926667140435, -1.6472403970152618, -1.3752526050726714, -1.067407325542905, -0.7356295347739139, -0.39289687031819737, -0.05269436120655814, 0.27156024887222857, 0.5670972622128256, 0.8223577276377613, 1.0275141003339645, 1.1749260517460727, 1.2595107819868057, 1.2790102788208126, 1.2341418866903213, 1.1286231555807364, 0.969067057711832, 0.7647490871835257, 0.5272532708433822, 0.27000948371631794, 0.007739443978793246, -0.24416686578146002, -0.47031904972325506, -0.6560105621095267, -0.7878901000634367, -0.8545906521517107, -0.8472878147540471, -0.7601613398030586, -0.5907374289084, -0.3400939187952188, -0.012916038617418862, 0.3826033571746568, 0.8350185215385332, 1.3300331493462823, 1.8510362928541286, 2.3797516278383317, 2.896974366859798, 3.383365643127234, 3.8202709424241066, 4.190527319552996, 4.4792238194092855, 4.6743807852398485, 4.767516561966922, 4.754074403358875, 4.633688011475346, 4.410270853986288, 4.0919219423482005, 3.690648789157663, 3.221916442678902, 2.7040394510613472, 2.157440969429262, 1.6038096390998042, 1.065190023715844, 0.5630460165978746, 0.1173385359286918, -0.25434112628094513, -0.5375427815545668, -0.7215978250659327, -0.8000983086664157, -0.7711911115747159, -0.6376718367768495, -0.40687203736875915, -0.09034280199129016, 0.2966528322730503, 0.7358171623484587, 1.2066351752599596, 1.6872954780410023, 2.1556730399450523, 2.590328620219627, 2.9714784806221552, 3.2818888969260813, 3.507653082158099, 3.6388133046642843, 3.669798011949176, 3.599652347521099, 3.432050182000213, 3.175086216492971, 2.840857357368087, 2.4448528890493573, 2.005182472730169, 1.5416791925011113, 1.0749213303844072, 0.6252209303527233, 0.21162925783484407, -0.14899116354150668, -0.442781170085787, -0.6595447595332719, -0.7932200547533383, -0.8421366716434182, -0.8090453696603792, -0.7009173562199982, -0.5285223950386283, -0.30580633795595324, -0.04909926905892069, 0.2238054368399844, 0.4946536738510918, 0.7457624985610899, 0.9610268930915149, 1.1268475469442552, 1.2329292305357513, 1.272905437919211, 1.244753491434144, 1.1509748262752804, 0.9985271954233044, 0.7985084543859989, 0.5656047417783592, 0.31732858179567164, 0.07308402407866041, -0.14689422308601566, -0.32267316776387533, -0.4357661134577116, -0.4702283730439942, -0.41364447328523046, -0.25795180512172133, -5.3265688885478934e-05, 0.3578183246701095, 0.8080088543836649, 1.337635492042394, 1.929059321158269, 2.560619328454878, 3.20759491838579, 3.8433514858701803, 4.440613111522323, 4.972798742598581, 5.415353745896094, 5.747007759976236, 5.950892445210809, 6.015458951447713, 5.935144423741514, 5.710749195714986, 5.349500867665699, 4.864797493188922, 4.275638772730962, 3.605770595352317, 2.8825835992985342, 2.135819801606211, 1.3961520324523051, 0.6937082904391454, 0.05661676868818046, -0.49035305741693547, -0.9269822751130148, -1.238564532758358], 'positive_zeros': ['1.56126685567654665656631777955650', '2.37236848140754011962657673040193', '2.84143565278835135905710249789433', '4.39972653480907626237721716553112', '4.75652659340300641133111845076497', '5.67929012836439786473160886006030', '6.32952291800851219842389121461059', '6.79853733224971367510752424949577', '7.935616346207849328791444315547247'], 'prelabel': '2-5904-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.866125352290327, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.56126685567654665656631777956', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.37236848140754011962657673040', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.84143565278835135905710249789', 'prec': 103}}