{'Lhash': '1757884826468066807707805726690', 'a10': [0.0, 0.0], 'a2': [-1.260073510670101, -0.6420395219202062], 'a3': [1.618033988749895, 1.618033988749895], 'a4': [1.1755705045849463, 1.618033988749895], 'a5': [0.0, 0.0], 'a6': [-1.0, -3.0776835371752536], 'a7': [1.1755705045849463, 1.1755705045849463], 'a8': [-0.4424634841649486, -2.793604493334841], 'a9': [0.0, 2.23606797749979], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5970080404256084, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [1.260073510670101, 0.6420395219202062]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '200.43', 'coefficient_field': 'CDF', 'conductor': 200, 'conductor_radical': 10, 'conjugate': '2754728732167637093017732566712', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.260073510670101, 0.6420395219202062]], [[1.0, 0], [-1.618033988749895, -1.618033988749895], [0, 3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.1755705045849463, -1.1755705045849463], [0, 7.0]], [[1.0, 0], [-1.2360679774997898, 0], [11.0, 0]], [[1.0, 0], [3.0776835371752536, -3.0776835371752536], [0, -13.0]], [[1.0, 0], [-1.0, 1.0], [0, -17.0]], [[1.0, 0], [0, -2.0], [-19.0, 0]], [[1.0, 0], [-2.628655560595668, 2.628655560595668], [0, -23.0]], [[1.0, 0], [-1.4530850560107218, 0], [29.0, 0]], [[1.0, 0], [0, 5.257311121191336], [-31.0, 0]], [[1.0, 0], [-3.0776835371752536, -3.0776835371752536], [0, 37.0]], [[1.0, 0], [7.708203932499369, 0], [41.0, 0]], [[1.0, 0], [2.381966011250105, 2.381966011250105], [0, 43.0]], [[1.0, 0], [7.330937578935453, 7.330937578935453], [0, 47.0]], [[1.0, 0], [0.7265425280053609, -0.7265425280053609], [0, -53.0]], [[1.0, 0], [0, 8.47213595499958], [-59.0, 0]], [[1.0, 0], [0, -9.95959313953112], [-61.0, 0]], [[1.0, 0], [-2.381966011250105, 2.381966011250105], [0, -67.0]], [[1.0, 0], [0, 7.053423027509678], [-71.0, 0]], [[1.0, 0], [8.70820393249937, 8.70820393249937], [0, 73.0]], [[1.0, 0], [-12.310734148701014, 0], [79.0, 0]], [[1.0, 0], [-4.381966011250105, -4.381966011250105], [0, 83.0]], [[1.0, 0], [0, -6.47213595499958], [-89.0, 0]], [[1.0, 0], [-0.2360679774997897, 0.2360679774997897], [0, -97.0]], [[1.0, 0], [0, 12.310734148701014], [-101.0, 0]], [[1.0, 0], [-7.330937578935453, 7.330937578935453], [0, -103.0]], [[1.0, 0], [12.090169943749475, -12.090169943749475], [0, -107.0]], [[1.0, 0], [6.710396177202058, 0], [109.0, 0]], [[1.0, 0], [-4.708203932499369, -4.708203932499369], [0, 113.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9665077, 'index': 0, 'label': '2-200-40.3-c1-0-0', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/200/2/k/h/43/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [1.098315418249864, 1.0532752518554198, 1.0113782596169172, 0.9683142571126792, 0.9188219702970623, 0.85732585999797, 0.7785292025228684, 0.6779320796069641, 0.552287554616591, 0.4000188170445311, 0.2216066486043378, 0.01993610317993929, -0.19942668527169957, -0.4280686066161803, -0.6547209053952194, -0.8654527991367843, -1.044104844448797, -1.1729857444003484, -1.233836739696513, -1.209043208574319, -1.083045035489683, -0.8438677893715987, -0.4846685106705472, -0.005166169660551385, 0.5871889038762313, 1.2764567429129674, 2.0380009849854286, 2.838948201816733, 3.6393855877002683, 4.394311794142015, 5.0562863223101395, 5.578646907077314, 5.919088804704932, 6.0433331574436595, 5.928562490915288, 5.5662782819904635, 4.964245230817225, 4.147233518180244, 3.1563544072927896, 2.0469021846474456, 0.8847581453219387, -0.2584326856596679, -1.3109503568101115, -2.2070635973111536, -2.892888626919716, -3.3314304210838475, -3.5062271263552613, -3.4231223333761984, -3.1098600984320783, -2.6134205866127163, -1.9952681765478282, -1.3249403325936377, -0.6726322969519173, -0.1015976019409924, 0.3387400020639019, 0.6181000441023411, 0.7283676957086747, 0.6838604117553878, 0.5187073567359815, 0.2815862585785587, 0.028433426029847705, -0.1859435734114765, -0.3162140437886387, -0.3336352115959009, -0.23083425308387678, -0.023441793970618623, 0.2518292108656885, 0.5425599730489423, 0.7888288553738708, 0.9331358380227595, 0.9305979932940603, 0.7578151311275176, 0.4188899382084411, -0.0525847576234445, -0.5962172145207288, -1.1321430166247104, -1.5722020321008547, -1.833502062930086, -1.8524000888262846, -1.5966977085887923, -1.0739452522256723, -0.33419244375457113, 0.5337289741882107, 1.4123481532409337, 2.1710515684076666, 2.684919979589901, 2.8542009180080834, 2.6214016987780324, 1.983141236503155, 0.9945267790590796, -0.23514243906763757, -1.555238369367384, -2.7937505971185304, -3.7816045922356203, -4.377775639953882, -4.491289212724339, -4.096487349598011, -3.2388425174907374, -2.0300016984568074, -0.6324375883679553, 0.7641990644609516, 1.9714823502018863, 2.830905385391748, 3.238195979609702, 3.1591634504433737, 2.6342882843148785, 1.7710974110094233, 0.7254307387404656, -0.3253542120307619, -1.2127222970064921, -1.8056094171469712, -2.032335133182467, -1.8918353122191414, -1.4521146936389253, -0.8360955730361553, -0.19734409941696487, 0.3099355565806565, 0.561105167002964, 0.4858209806944669, 0.08253637136144526, -0.580127418873838, -1.375605445858065, -2.1430791959506017, -2.718257490856656, -2.965417466732097, -2.8045163922267196, -2.2280250340640158, -1.3040403331853085, -0.16486213753215723, 1.01693620780795, 2.0604120339510517, 2.8099528875667525, 3.1641508145674013, 3.094115016085837, 2.647547659807872, 1.937751064683672, 1.1197926587732905, 0.3586987840663448, -0.2037799716054315, -0.4769614732447292, -0.4378255442239868, -0.13299881034233424, 0.3341724618548148, 0.8285530425822836, 1.2146209271852453, 1.387359695220539, 1.2957302646768343, 0.9534226406309317, 0.4344199998827309, -0.1456438340836044, -0.6580492538775177, -0.9927927593623672, -1.086021733689301, -0.9363258723277119, -0.6055588630034152, -0.20343244658427523, 0.14097173593605372, 0.31428726097496357, 0.2520947190938566, -0.03820711155867476, -0.47142938700417386, -0.8984120388874034, -1.1379553235719235, -1.0207077420142296, -0.4355170068878308, 0.6325981382083611, 2.0826213994030045, 3.7022193418347826, 5.198194138160404, 6.248246457171883, 6.564490770078885, 5.95589016198014, 4.376160669287638, 1.9460151291571703, -1.0564967487093229, -4.237307081368813, -7.152339509445012, -9.3857604864523, -10.62503596100907, -10.717604485905902, -9.697498135159956, -7.7763435574960225, -5.300568509465418, -2.683716752515512, -0.3279683959112655, 1.448895315633053, 2.466248292540885, 2.7029074468802534, 2.285600376226796, 1.4477360141839826, 0.4690062399492981, -0.3897784298197945, -0.9417372817634183, -1.1069527533270942, -0.9172767423664298, -0.49369073568358945, -0.003593392869488244, 0.3900153382287709, 0.5739833736350063, 0.51353617192155, 0.25713883070342364, -0.082622548374286, -0.3660560894564467, -0.4704893170890082, -0.3289315249371416, 0.047701666557498835, 0.5712109026996518, 1.0996603348176885, 1.4775127707450058, 1.5812495366571861, 1.3575728041739021, 0.8430066095205045, 0.15856515638758562, -0.5200949236278486, -1.0097620609736229, -1.1716168501429025, -0.9537619974159778, -0.41200109945912583, 0.29806993523284453, 0.957074245169346, 1.3376946293573553, 1.266286385969891, 0.673966118277038, -0.3770676302796745, -1.7002613866757146, -3.024328592118976, -4.056876137511565, -4.5564291222729905, -4.3944229748168935, -3.590696480438907, -2.312419280962037, -0.8356699842456218, 0.5213320137304435, 1.4766397385386743, 1.8544452193044128, 1.6279844587181191, 0.9237896159077648, -0.014389424093039982, -0.8929602109450139, -1.4495709969751607, -1.5262728566338715, -1.114812168309195, -0.3612040723391375, 0.47252058460349144, 1.0799270634965128, 1.1963818798532135, 0.6766423626293224, -0.45763980046844677, -2.0143665227936065, -3.673703466727323, -5.066895782769317, -5.871012486463052, -5.8946430122402464, -5.131409022580229, -3.7662774230473, -2.1319946996251518, -0.6262489537197727], 'positive_zeros': ['1.38672661548188043473243121868702', '2.87619941409330903017530824155527', '5.09614184092633099521472023470628', '6.65046471651950029138491980060804', '7.51481467911369695306949497931294', '8.136621303597876493640295723772609', '9.112253276256598027194108183181625', '10.17446830701906442919072819736172', '11.22727175097462507571192991164535', '12.43055846360126936641775761705576'], 'prelabel': '2-200-40.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2637278347910235, 'root_angle': -0.11310409558739168, 'root_number': '0.7579354200477766 - 0.6523295938687746*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.113104095587', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.38672661548188043473243121869', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.87619941409330903017530824156', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.09614184092633099521472023471', 'prec': 100}}