{'Lhash': '1686621617878840750325867749591', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.5, 0.8660254037844386], 'a4': [1.0, -1.7320508075688772], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [2.5, 0.8660254037844386], 'a8': [0.0, 0.0], 'a9': [-0.5, -0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.5, -0.8660254037844386]]], [7, [[1.0, 0], [-2.5, -0.8660254037844386]]], [23, [[1.0, 0], [-0.5, -0.8660254037844386]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.277', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': '1790278660680554414883092360740', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [-1.0, 1.7320508075688772]], [[1.0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [-2.5, 4.330127018922194]], [[1.0, 0], [-2.5, -0.8660254037844386]], [[1.0, 0], [3.0, -5.196152422706632], [-5.5, -9.526279441628825]], [[1.0, 0], [-5.0, 0], [13.0, 0]], [[1.0, 0], [-3.0, 5.196152422706632], [-8.5, -14.722431864335457]], [[1.0, 0], [-0.5, -0.8660254037844386], [-9.5, 16.454482671904334]], [[1.0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [-6.0, 0], [29.0, 0]], [[1.0, 0], [2.5, -4.330127018922194], [-15.5, -26.846787517317598]], [[1.0, 0], [-3.5, -6.06217782649107], [-18.5, 32.04293994002423]], [[1.0, 0], [0, 0], [41.0, 0]], [[1.0, 0], [1.0, 0], [43.0, 0]], [[1.0, 0], [3.0, 5.196152422706632], [-23.5, 40.703193977868615]], [[1.0, 0], [6.0, -10.392304845413264], [-26.5, -45.89934640057525]], [[1.0, 0], [-3.0, 5.196152422706632], [-29.5, -51.09549882328188]], [[1.0, 0], [7.0, 12.12435565298214], [-30.5, 52.827549630850754]], [[1.0, 0], [2.5, -4.330127018922194], [-33.5, -58.023702053557386]], [[1.0, 0], [6.0, 0], [71.0, 0]], [[1.0, 0], [-3.5, 6.06217782649107], [-36.5, -63.21985447626402]], [[1.0, 0], [2.5, 4.330127018922194], [-39.5, 68.41600689897065]], [[1.0, 0], [12.0, 0], [83.0, 0]], [[1.0, 0], [-3.0, -5.196152422706632], [-44.5, 77.07626093681505]], [[1.0, 0], [10.0, 0], [97.0, 0]], [[1.0, 0], [0, 0], [-50.5, -87.4685657822283]], [[1.0, 0], [5.5, 9.526279441628825], [-51.5, 89.20061658979718]], [[1.0, 0], [0, 0], [-53.5, 92.66471820493493]], [[1.0, 0], [5.5, -9.526279441628825], [-54.5, -94.39676901250381]], [[1.0, 0], [-6.0, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 10682657, 'index': 9, 'label': '2-483-7.4-c1-0-9', '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': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/483/2/i/b/277/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.6082510649278223, 1.593221429403198, 1.5687434675146528, 1.529348643219197, 1.4672625866050386, 1.3737441091774925, 1.2404879422001522, 1.0609373940014182, 0.8314413891247373, 0.5522231981164588, 0.22811762385538992, -0.13099163086818477, -0.5101203819909528, -0.8896037126710857, -1.246050801976845, -1.5538562994546257, -1.7872304029315724, -1.9226391389783044, -1.9414721422085781, -1.8326871388086374, -1.5951291811234536, -1.239199296529745, -0.7875609697798276, -0.2746299705246848, 0.25530513814012956, 0.7513426171528924, 1.1604476568264417, 1.4328122443051594, 1.5275854714181174, 1.4183347692031947, 1.0975320975658607, 0.5793771709829871, -0.0996154808020734, -0.8826274155917063, -1.6972132482958586, -2.462365012991358, -3.0973275171876917, -3.531210339041403, -3.7122167545763607, -3.615223989328218, -3.246535300899761, -2.6448931894420733, -1.8782781655782175, -1.0365741257141126, -0.22078913427511204, 0.46990880317025535, 0.9516414404672074, 1.1678316998654532, 1.0979050161395425, 0.7611597013101558, 0.21491107670903117, -0.45315817538210135, -1.1375944433935115, -1.7310111225810885, -2.140810349191009, -2.3041149787063437, -2.198344618871632, -1.8454221687157975, -1.3085413959942969, -0.6816329719636793, -0.07294755456314957, 0.4146907435940279, 0.7036348962614034, 0.7576053070930333, 0.5911408472749266, 0.2701240860299651, -0.09733577286409505, -0.37866219455101885, -0.4405476271996388, -0.17470256112472743, 0.47900666616732324, 1.5165004754661218, 2.8639741624083515, 4.384668699614241, 5.897484632438855, 7.204757735377379, 8.124634863525703, 8.522358116807089, 8.334655175723022, 7.582432029438939, 6.3689463578449566, 4.86327596351863, 3.27170409727996, 1.8020733848406962, 0.6277049307687297, -0.14221956628689364, -0.47998264142281777, -0.4408201499748989, -0.1481277167779623, 0.23476124081312824, 0.5405447555088928, 0.634250681357175, 0.4422153129317868, -0.03251623881139126, -0.7118442059469047, -1.4611688904399969, -2.120970771349372, -2.5445441821328667, -2.633436900445266, -2.3624073599360096, -1.7878293302879031, -1.0370559818186653, -0.2805539536295903, 0.3073158551960774, 0.5901055906765442, 0.503922909700049, 0.07639007489275666, -0.5753196297233325, -1.2679462146943226, -1.7926632086966299, -1.9639830486581993, -1.6659797107480732, -0.8848467095059357, 0.2805202984425722, 1.633475656298371, 2.917861632550204, 3.8717429528911658, 4.2849017458228955, 4.0470102084980795, 3.175083746344924, 1.8132582011708822, 0.20417977345540428, -1.362081215954594, -2.6102577175318706, -3.3390419209998883, -3.463404924951437, -3.030083145144597, -2.2025026778788788, -1.218717092854533, -0.3325051655932109, 0.2480311857078217, 0.40931371940544087, 0.1565505266723678, -0.39252170364451117, -1.0426650078153448, -1.5758268142420302, -1.8112378071821778, -1.6551330770638844, -1.1268518645478667, -0.3541335733764807, 0.461492139449184, 1.1003029266885893, 1.3862160379785464, 1.2380675404671815, 0.6959706455857367, -0.08525281452590668, -0.8748559293201259, -1.4276525868657417, -1.5521827133748436, -1.1671521885755702, -0.33027526231780957, 0.7694245904078689, 1.8552061277513843, 2.631702404448767, 2.861874638871741, 2.4314925390353355, 1.3835417815011428, -0.0874468899572674, -1.680625956394522, -3.0624283662178793, -3.9494547532322857, -4.178699283479068, -3.7462298918646497, -2.8037482410019514, -1.613834466486418, -0.47604491851018926, 0.35578716197490845, 0.7420545335056349, 0.6924448366688816, 0.3575724656731137, -0.020609909707965366, -0.18560174954989556, 0.05168624176636919, 0.7496932626100894, 1.810607427619314, 3.0007967186218036, 4.012494745876709, 4.549885873353411, 4.415266160999062, 3.5703670248757784, 2.154544294862654, 0.4535951833470492, -1.1729202095066662, -2.385876434781558, -2.9558091481772277, -2.8217656583702384, -2.1028820749549793, -1.0593514899998555, -0.014155352013594455, 0.7415422123179655, 1.0315550618716263, 0.8419223925660513, 0.3184138623804449, -0.28465541952336737, -0.6885429453896302, -0.6812900877618236, -0.18785484116478604, 0.7027561635842696, 1.7622191192473529, 2.6923728521634374, 3.2183025716286195, 3.1761717404006937, 2.5680659015759937, 1.5658987188652709, 0.46202676947158133, -0.4191048183380792, -0.8213902799380386, -0.6382275624556402, 0.051636337325345276, 1.006039005004344, 1.8937152555497745, 2.3989567236355085, 2.324434157810809, 1.659683399255298, 0.592635918532228, -0.541186014018928, -1.3578116553942634, -1.5428126481295812, -0.9520021741216348, 0.3368157291086282, 2.038243171378719, 3.736905321643042, 5.005767772939181, 5.529719747895245, 5.19691039028569, 4.129897894512847, 2.6470420649970934, 1.1660636035639378, 0.07956757780748488, -0.3590867363026818, -0.1046649308794696, 0.6767327358300398, 1.6696425400006325, 2.515261847841953, 2.926671984754191, 2.7760327639715037, 2.126276300031937, 1.1985126644745756, 0.2878218220129993, -0.3427694459227684, -0.5532690161458574, -0.3712295736512781, 0.02547675105745754, 0.3813677289482799, 0.4657048943746788, 0.16773731322646632, -0.45024287698328624, -1.1631399778256957, -1.6559378682054477, -1.6363182557164524, -0.9490083614655545, 0.3486531640655739, 1.979063430300644, 3.511883921671855, 4.488750290967946, 4.566945960748749, 3.6356657804450117], 'positive_zeros': ['1.33050985624522978346679624229393', '2.93954750076820013256659025927226', '3.98305005149303116711957671664522', '5.53684978854764559278433097917084', '6.29181313736809311815566810703876', '7.51641584421071846187434081491490', '8.215957292124443851724440526803889', '8.666904667437368768231839564593732', '10.59552810844395674561022520822445', '11.04874881047402161388100752147017'], 'prelabel': '2-483-7.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.020172953053946126, 'root_number': '0.9919779164085226 - 0.12641128651274003*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0201729530539', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.33050985624522978346679624229', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.93954750076820013256659025927', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.98305005149303116711957671665', 'prec': 103}}