{'Lhash': '90688562944437798505681868315,608219193734023409192334237790,1183035699519935652655823052122,1405492443456895412366745977950,1630711064872980969831988684293,2291514679700104662707391415944', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -3, 'a5': -6, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 167710.53077407656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 3, 0, 3, 0, 1]], [3, [1, 0, 3, 0, 3, 0, 1]], [5, [1, 6, 20, 50, 100, 150, 125]], [31, [1, -6, 15, -20, 15, -6, 1]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.1', 'coefficient_field': '1.1.1.1', 'conductor': 646990183449000000, 'conductor_radical': 930, 'degree': 12, 'euler_factors': [[1, 0, 3, 0, 3, 0, 1], [1, 0, 3, 0, 3, 0, 1], [1, 6, 20, 50, 100, 150, 125], [1, 0, -9, 0, 59, 0, -614, 0, 2891, 0, -21609, 0, 117649], [1, -2, -3, 94, -130, -378, 5017, -4158, -15730, 125114, -43923, -322102, 1771561], [1, 0, -16, 0, 32, 0, 1782, 0, 5408, 0, -456976, 0, 4826809], [1, 0, -60, 0, 1760, 0, -34586, 0, 508640, 0, -5011260, 0, 24137569], [1, 2, 25, -70, 506, 50, 22121, 950, 182666, -480130, 3258025, 4952198, 47045881], [1, 0, -97, 0, 4643, 0, -133686, 0, 2456147, 0, -27144577, 0, 148035889], [1, 12, 178, 1516, 13143, 81944, 511932, 2376376, 11053263, 36973724, 125896018, 246133788, 594823321], [1, -6, 15, -20, 15, -6, 1], [1, 0, -222, 0, 20535, 0, -1013060, 0, 28112415, 0, -416063742, 0, 2565726409], [1, -12, 82, -316, 2655, -32408, 302652, -1328728, 4463055, -21779036, 231712402, -1390274412, 4750104241], [1, 0, -225, 0, 22307, 0, -1245350, 0, 41245643, 0, -769230225, 0, 6321363049], [1, 0, -176, 0, 14112, 0, -755006, 0, 31173408, 0, -858823856, 0, 10779215329], [1, 0, -157, 0, 14507, 0, -945006, 0, 40750163, 0, -1238805517, 0, 22164361129], [1, 4, 270, 1084, 34487, 118728, 2602084, 7004952, 120049247, 222630836, 3271687470, 2859697196, 42180533641], [1, -32, 752, -11860, 154544, -1576320, 13712046, -96155520, 575058224, -2691994660, 10412072432, -27027081632, 51520374361], [1, 0, -288, 0, 40232, 0, -3395714, 0, 180601448, 0, -5803522848, 0, 90458382169], [1, -18, 357, -4954, 60870, -607962, 5761937, -43165302, 306845670, -1773091094, 9071970117, -32476128318, 128100283921], [1, 0, -205, 0, 25427, 0, -2278590, 0, 135500483, 0, -5821639405, 0, 151334226289], [1, 22, 313, 3238, 36770, 412246, 4269497, 32567434, 229481570, 1596460282, 12191375353, 67695240778, 243087455521], [1, 0, -332, 0, 55848, 0, -5777546, 0, 384736872, 0, -15756162572, 0, 326940373369], [1, 58, 1903, 42594, 718563, 9464116, 99708522, 842306324, 5691737523, 30027449586, 119398484623, 323875448042, 496981290961], [1, 0, -444, 0, 90312, 0, -10990582, 0, 849745608, 0, -39307000764, 0, 832972004929], [1, -62, 2047, -46446, 800715, -10972268, 122058522, -1108199068, 8168093715, -47853360246, 213011640847, -651626231062, 1061520150601], [1, 0, -354, 0, 57551, 0, -6525692, 0, 610558559, 0, -39843011874, 0, 1194052296529], [1, 0, -289, 0, 55179, 0, -7038694, 0, 631744371, 0, -37882004689, 0, 1500730351849], [1, -52, 1434, -27860, 438215, -5855592, 66580684, -638259528, 5206432415, -36079507940, 202420802874, -800084456548, 1677100110841], [1, 0, -645, 0, 176867, 0, -26385710, 0, 2258414723, 0, -105165547845, 0, 2081951752609]], 'euler_factors_factorization': [[[[1, 0, 1], 3]], [[[1, 0, 1], 3]], [[[1, 6, 20, 50, 100, 150, 125], 1]], [[[1, 0, -9, 0, 59, 0, -614, 0, 2891, 0, -21609, 0, 117649], 1]], [[[1, -1, -2, 45, -22, -121, 1331], 2]], [[[1, 0, -16, 0, 32, 0, 1782, 0, 5408, 0, -456976, 0, 4826809], 1]], [[[1, 0, -60, 0, 1760, 0, -34586, 0, 508640, 0, -5011260, 0, 24137569], 1]], [[[1, 1, 12, -47, 228, 361, 6859], 2]], [[[1, 0, -97, 0, 4643, 0, -133686, 0, 2456147, 0, -27144577, 0, 148035889], 1]], [[[1, 6, 71, 332, 2059, 5046, 24389], 2]], [[[1, -1], 6]], [[[1, 0, -37], 6]], [[[1, -6, 23, -20, 943, -10086, 68921], 2]], [[[1, 0, -225, 0, 22307, 0, -1245350, 0, 41245643, 0, -769230225, 0, 6321363049], 1]], [[[1, 0, -176, 0, 14112, 0, -755006, 0, 31173408, 0, -858823856, 0, 10779215329], 1]], [[[1, 0, -157, 0, 14507, 0, -945006, 0, 40750163, 0, -1238805517, 0, 22164361129], 1]], [[[1, 2, 133, 276, 7847, 6962, 205379], 2]], [[[1, -16, 248, -1962, 15128, -59536, 226981], 2]], [[[1, 0, -288, 0, 40232, 0, -3395714, 0, 180601448, 0, -5803522848, 0, 90458382169], 1]], [[[1, -9, 138, -1235, 9798, -45369, 357911], 2]], [[[1, 0, -205, 0, 25427, 0, -2278590, 0, 135500483, 0, -5821639405, 0, 151334226289], 1]], [[[1, 11, 96, 563, 7584, 68651, 493039], 2]], [[[1, 0, -332, 0, 55848, 0, -5777546, 0, 384736872, 0, -15756162572, 0, 326940373369], 1]], [[[1, 29, 531, 5898, 47259, 229709, 704969], 2]], [[[1, 0, -444, 0, 90312, 0, -10990582, 0, 849745608, 0, -39307000764, 0, 832972004929], 1]], [[[1, -31, 543, -6390, 54843, -316231, 1030301], 2]], [[[1, 0, -354, 0, 57551, 0, -6525692, 0, 610558559, 0, -39843011874, 0, 1194052296529], 1]], [[[1, 0, -289, 0, 55179, 0, -7038694, 0, 631744371, 0, -37882004689, 0, 1500730351849], 1]], [[[1, -26, 379, -4076, 41311, -308906, 1295029], 2]], [[[1, 0, -645, 0, 176867, 0, -26385710, 0, 2258414723, 0, -105165547845, 0, 2081951752609], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'id': 17501296, 'index': 1, 'label': '12-930e6-1.1-c1e6-0-1', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/930/2/d/h', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0208333333333', 'prec': 50}, 'plot_values': [0.04669767132532037, 0.04197652928761602, 0.029741413863369665, 0.010170218817960578, -0.016384795084594905, -0.049338437704998066, -0.08781841611226861, -0.13062487173404327, -0.17627983951595214, -0.22313178812603346, -0.26940438441933057, -0.3132387271081898, -0.3527364636096567, -0.3859787518474778, -0.41097460092660365, -0.42574490307862395, -0.428402889723443, -0.41722295452977776, -0.39071471755740705, -0.34770758680525216, -0.2874585658664375, -0.20972092757609706, -0.11480623672901615, -0.0036402390800861235, 0.12219578488739663, 0.2604347947360312, 0.40809481483923876, 0.5615152437991208, 0.7164216184787789, 0.8680186365544673, 1.0111181286174853, 1.1402962907155878, 1.250085716914025, 1.3352477125017521, 1.3910413537549673, 1.4134970626744225, 1.3996927615419557, 1.3480313787288196, 1.2585298443309707, 1.1330001548750304, 0.9751590779694297, 0.7906621738171078, 0.5870402913265845, 0.37354454610143417, 0.16088821077044968, -0.03928658121006677, -0.21501918634908734, -0.3547296034641378, -0.4480096455922753, -0.48648425153636626, -0.46475275086684437, -0.3813184910662723, -0.23938010198896684, -0.04747584991688966, 0.18006634285738218, 0.4229141174704468, 0.6548204099931225, 0.8442017310186851, 0.95508663717292, 0.9484393881595464, 0.7838562530119803, 0.42164381792369776, -0.1746300081922877, -1.035569403195972, -2.1833633571890134, -3.6292612351718243, -5.371278528144826, -7.392235928572318, -9.658288777187618, -12.118536954893615, -14.705376784205537, -17.33571261160053, -19.91311702066787, -22.33115907906858, -24.478378143760644, -26.242925310926648, -27.517778586063447, -28.20639907001246, -28.228401887600665, -27.52552439661729, -26.06821616674082, -23.85764078656205, -20.927263024744107, -17.343497175551487, -13.204722458593976, -8.63894510814195, -3.799801728694893, 1.1418206084419529, 6.0058627733806444, 10.611493853165918, 14.785936034391455, 18.373797365728812, 21.24764645102895, 23.314525119213098, 24.52047546776576, 24.853378493497562, 24.343569957066354, 23.063168629914305, 21.12476087652096, 18.670911943142467, 15.864139837410985, 12.876912034515872, 9.881172253692531, 7.038563770407729, 4.49155427428517, 2.3521401841045746, 0.6954597279800669, -0.4431323008596843, -1.0681845390303053, -1.2215028612747696, -0.9771458756940798, -0.43391440893631555, 0.29444976720412686, 1.0898447099001451, 1.840254853501274, 2.4493506474862348, 2.8448193328440903, 2.9839940542540617, 2.8563311549199044, 2.4827834378196942, 1.9121738108587794, 1.2150506135184276, 0.47548461183048746, -0.21948415308069957, -0.7902962558686927, -1.1744325279352772, -1.3343349733962322, -1.2630124394924145, -0.9869411167782958, -0.5650199119110082, -0.08398895494510403, 0.34912119602246233, 0.6169121565038223, 0.6030298739405351, 0.20412978129093423, -0.6586193824399157, -2.030083717276125, -3.9144878065753987, -6.272124559283913, -9.020100960836452, -12.038010349127054, -15.176091779976433, -18.26595907083485, -21.133228997810985, -23.6108572185091, -25.553078765289673, -26.850136253036013, -27.434063509809388, -27.28216222130199, -26.417711041359038, -24.907042888611652, -22.854330278433718, -20.394806517011297, -17.67907686627939, -14.859961413918086, -12.081204794823554, -9.467749403990013, -7.118606602178829, -5.102460350553071, -3.4543535080865766, -2.1774370742368734, -1.2477475765817039, -0.6207883168749548, -0.2391219773473486, -0.04013444284791007, 0.036853445360317275, 0.04477241949970182, 0.024917313880629188, 0.00515540706994648, 0.00012371752440666346, 0.013171360340479575, 0.03958264661951053, 0.07026827542288479, 0.09531909990755624, 0.10691553414474227, 0.1012722152684153, 0.07946946128185287, 0.04676031880457672, 0.010956036001684596, -0.019676640428140824, -0.03857696028277696, -0.04265500532639361, -0.033320179944936267, -0.016529742231771317, -0.0016697159921106454, 0.00047716587113785086, -0.0196959334241978, -0.06797416526743746, -0.14410704010712544, -0.24051598535376686, -0.3422686411541756, -0.4284704235314698, -0.4750004406946727, -0.45827981396977835, -0.35941987617245297, -0.16805170327587116, 0.11461017478327094, 0.4740610548005135, 0.8825834496630832, 1.3015802552384776, 1.6867317510031108, 1.9931337134215288, 2.1808916551948396, 2.2206797829974314, 2.098345460754547, 1.8183032188867434, 1.4052198312168567, 0.8999044951017777, 0.35400730812679587, -0.17630249115057084, -0.6373893545629241, -0.9850365808847724, -1.190735420258076, -1.2461277571014506, -1.1635378891931674, -0.9734205823653762, -0.719270737908928, -0.45077866373715597, -0.21605823043691177, -0.05341796244620446, 0.014845337080159374, -0.014255781482757109, -0.12442436503639312, -0.2834362304799144, -0.4494184062158855, -0.5793737236713998, -0.6382445122218112, -0.60686942735772, -0.48739638105753474, -0.3051046881421995, -0.1060544565941312, 0.049903521753647706, 0.0994232191550744, -0.012257331162293574, -0.3193715367935902, -0.8258851062502736, -1.499516208937733, -2.271395231259441, -3.0419975835735946, -3.6930651975821696, -4.10446906531509, -4.173307897839471, -3.829543306660353, -3.050410358513719, -1.870092609351774, -0.38211929091660574, 1.2662685049699405, 2.8909267744154112, 4.303770895811751, 5.333271391363744, 5.845230646341297, 5.762280618984986, 5.077325230920449, 3.862014702606153, 2.2699454552711917, 0.5071143638207339, -1.1979471473168297, -2.6239721606755912, -3.586382100881023, -3.962352706655237, -3.709909184948363, -2.8784210991068266, -1.6018042409527387, -0.07913085016015668, 1.453793717978052, 2.7581119229550297, 3.6273023587382354, 3.9185067637038085, 3.5732250293282037, 2.625362361038977, 1.1957297696746014, -0.5260043631399013, -2.310271224623171, -3.9244573342047424, -5.167845878846318, -5.9004492887116085, -6.061920329453606, -5.678501994098212, -4.857283910671123, -3.7622933619293875, -2.5832476931477135, -1.502111541874362, -0.6622818159024159, -0.14557292852529433, 0.039584802854673966, -0.04430650986211437, -0.28202406479952186, -0.5346919016346234, -0.6742702635228127, -0.6171887154466681, -0.3507205137445237, 0.053487338125751266, 0.44303820579758707, 0.6059623182610465, 0.30708111646048114, -0.6655636569486957, -2.45300342169057, -5.084810164630266, -8.452023985632719, -12.299632807248125, -16.241901893669123, -19.803470965423603, -22.488700661261234, -23.846786665686526, -23.53655776686926, -21.383454729936748, -17.418255132480848, -11.893303653887413, -5.269453468131153, 1.8470263594344563, 8.779396875531006, 14.862976090297266, 19.528020399472886, 22.37437330747538, 23.232409541766245, 22.17967408288686, 19.521612926557815, 15.743496296931538, 11.439164980379873, 7.227213880786866, 3.6642604150527887, 1.1626886962807552, -0.06212551199802135, -0.012562213811515625, 1.1030086128006398, 2.9123201196223567, 4.946803414089536, 6.721426739767117, 7.8128830665021844, 7.925514454154111, 6.935669423132201, 4.908601816821397, 2.0835752927472426, -1.1711558659377737, -4.418449876163159, -7.219960810466148, -9.20201857048031, -10.11178943710514, -9.855505295237183, -8.498809707452876, -6.247195440549689, -3.4098834960298112, -0.35149606228719454, 2.5627284630541745, 5.024846859981092, 6.820634873365931, 7.845490923783638, 8.103859243305585, 7.6936452053219595, 6.7815348359133685, 5.5734122749231645, 4.269925754103315, 3.036546318241478, 1.9871829761969924, 1.1793622152558392, 0.6198276163464955, 0.27714240193797457, 0.09730012106908059, 0.02146289014340205, -0.00033576035264687275, -0.0019364434285077936, -0.00032997855526176954, 5.860063884127668e-07, 0.0001807598657137618, 0.000443946791728174, -0.003255095723749784, -0.01789246089675392, -0.04722004529759338, -0.08233911319442479, -0.09171535064422054, -0.013973032364254848, 0.24333197624693237, 0.7966860932999337, 1.770973144358673, 3.2785558886448616, 5.394893127990013, 8.134469710936465, 11.431945999215626, 15.132712136910234, 18.999809670470054, 22.747367416571304, 26.067273170973927, 28.661794163919865, 30.279912064526933, 30.75003577372135, 30.01051711069496, 28.137979308165622, 25.318255847542286, 21.81505365499624, 17.936377956461655, 13.99737134574888, 10.286845095931794, 7.039780625586963, 4.404307102181158, 2.435136783970386, 1.103675231651744, 0.31801899122488253, -0.05142146655077995, -0.1455607811043831, -0.09370309586242828, 0.003550037057282275, 0.08236709164816625, 0.11490671896709224, 0.10176084228315037, 0.060561649934596035, 0.013839990380151983, -0.020399925344218785, -0.033815634434075606, -0.028252386804268965, -0.012523421684953438, 0.0027928974424264045, 0.010258868755708235, 0.008337360876715057, 0.0011599733015346817, -0.004509767993107833, -0.003930613364427579, 0.00130007817434431, 0.0014608982599777964, -0.019328310756161975, -0.07720261170268553, -0.17967721007470638, -0.31603513106750053, -0.4507432455477415, -0.5226065264819116, -0.4509696383199584, -0.14931845841490185, 0.4551496449714456, 1.398606077647489, 2.659322358832394, 4.148852985595396, 5.714882302914993, 7.157183388467864, 8.256234876484129, 8.812447006627051, 8.693727375362977, 7.870332192693059, 6.433797875779529, 4.5964434609343625, 2.6686250779636023, 1.015813755538856, -0.000683220251336595, -0.0924853618345167, 0.8975817697876871, 2.9563501810700585, 5.887718127713907, 9.332332250713423, 12.824178006689477, 15.863329146671642, 17.994696075123485, 18.8824638327271, 18.36713108410091, 16.500023630424863, 13.550212454486612, 9.940145281621723, 6.16815398551732, 2.726195570318652, 0.02114389556973858, -1.6857686043041265, -2.3132169371264357, -1.9689637206179933, -0.9133294854078681, 0.5040456240915516, 1.9183007612022003, 3.0209821253398506, 3.6165977912792604, 3.6465362620553488, 3.1833018768711936, 2.397679930722068, 1.507201205324891, 0.7184697777802589, 0.17629555630457583, -0.06692702145926413, -0.053688632466246514, 0.10214138329815521, 0.25818228435616253, 0.2950510014565246, 0.16307835509035576, -0.09147125110749856, -0.3273280310602807, -0.3369486131118924, 0.10191872016707287, 1.1622304886698462, 2.9068731169348645, 5.2515792569803965, 7.958893250848917, 10.666734665476492, 12.948794591006564, 14.399868075350707, 14.735690885407418, 13.857608506304938, 11.882330957767419, 9.129975785711418, 6.067138730083573, 3.2142925430590292, 1.030599556213223, -0.2104327993461192, -0.5048516113474234, -0.14917886507546133, 0.28967917252426895, 0.06567689381997908, -1.6077551732239985, -5.397791097280194, -11.698334203424036, -20.511071138625276, -31.38516528549683, -43.44108317628288, -55.510221895869186, -66.28866232741878, -74.5154907596294, -79.15716263374321, -79.56400950187675, -75.59299886756554, -67.68584320484258, -56.73617419850214, -43.93270193023906, -30.588309978498824, -17.96245240971366, -7.1050078799376895, 1.2686425227902296, 6.860029163916222, 9.768459513818907, 10.40975503306068, 9.399739005606957, 7.427079676314687, 5.136389080228932, 3.0284168315843214, 1.4093371323766473, 0.3878330382341789, -0.08996594101846384, -0.18155620243220938, -0.08126119144872335, 0.039083567134804424, 0.0694134028971129, -0.02421472077613685, -0.20874806528899367, -0.41037188287222354, -0.548239194389651, -0.5638360563055731, -0.43886711017689933, -0.19893277413824875, 0.0963074695966668, 0.3728292728150173, 0.5664115142347055, 0.6401977198821641, 0.5920484045201313, 0.45168410422739147, 0.26923786731263455, 0.09908376021898883, -0.016717417864412307, -0.060241641473546916, -0.039484381939880464, 0.018381738276641767, 0.07909376020064232, 0.11447999313601784, 0.11247173749514744, 0.0800041901824044, 0.03738197274479161, 0.006566585329454994, -0.0020933713747632427, 0.0006358182383016955, -0.01826749624508236, -0.10425885903036193, -0.2955326827752425, -0.5985960856619164, -0.9670788837226656, -1.2922780498432314, -1.4091844661244024, -1.1220457662204346, -0.2489048185750466, 1.321501024107361, 3.571028406192834, 6.314423052461254, 9.224255573329314, 11.853448507686041, 13.682565603906788, 14.194701770639144, 12.963488752207256, 9.7605511130498, 4.684372832814992, -1.8802057555718332, -9.321764389412328, -16.879474022111847, -23.744492154568317, -29.16650474639872, -32.561668353093964, -33.63086617442522, -32.39391131248286, -29.1637274417627, -24.47745998053629, -19.002065253831848, -13.43118586362715, -8.365385900977078, -4.230492751935864, -1.2405876388338908, 0.5970274836613935, 1.4417654640016935, 1.5577120304288243, 1.242837140471581, 0.7651814921950827, 0.3200447119760228, 0.013064852022559269, -0.13256097787367893, -0.1513715073920338, -0.10300942602986153, -0.04329367332951397, -0.005999741913022619, 0.002054491225107213, -0.005812472633350276, -0.009792646604336987, 0.003057846611409808, 0.03166655926792233, 0.06225878791126963, 0.07689266896002088, 0.06498729966040799, 0.03172623379486404, -0.002983793911494813, -0.016694878600173043, -0.005241809811280503, -0.005935877379120363, -0.11406657029077272, -0.4821068559311261, -1.2951893435934534, -2.7241424720280114, -4.863100902933381, -7.664816802347088, -10.891919116434861, -14.10762152012001, -16.71068820103972, -18.01625370952256, -17.375671662141844, -14.316973287337495, -8.68324381550173, -0.7333155626293038, 8.852204177172801, 19.03163980386644, 28.531095620375794, 36.0294722711051, 40.3811125890259, 40.85476595543673, 37.26074245832372, 29.991431529874802, 19.97362284239383, 8.531865839975588, -2.8180557494638427, -12.628506596083637, -19.763918853673577, -23.561719437447852, -23.904799766356742, -21.19970066572894, -16.27505555091729, -10.217306659662027, -4.127270348065356, 1.07496308414944, 4.780924640472169, 6.752152451619096, 7.103032190210286, 6.218833865983669, 4.627876075699709, 2.86336345698256, 1.3502465500689687, 0.33673709346483427, -0.12232109656967656, -0.13284500773407834, 0.10917999728360583, 0.3955907859964057, 0.5703750070531203, 0.5665726865544021, 0.41030230140979496, 0.1945361113030039, 0.031172282528968302, 0.0036054505862987783, 0.13451278098940045, 0.37733876258840476, 0.63309732873598, 0.7873961168039939, 0.7536021316919423, 0.5070896771214648, 0.09964462797245985, -0.3512748659736472, -0.6963936549673946, -0.8023335718901197, -0.5969736462369273, -0.09859331596878682, 0.5796492877416557, 1.2529001464425529, 1.7124685059419662, 1.7891074084484708, 1.4019440832070607, 0.5849826398562218, -0.5142218484837189, -1.6653203892738744, -2.610196267622244, -3.1341787705453354, -3.125226299819683, -2.602287667075357, -1.7106843708908133, -0.6860714562908745, 0.204023805242266, 0.7298367875262775, 0.764756740424077, 0.3168910355674299, -0.4768624965871829, -1.3904347357002957, -2.171280934519054, -2.611267780281367, -2.6055966153870194, -2.1810020561163244, -1.4859132413259926, -0.7453703655102235, -0.19298462137027622, 0.0015257457659771155, -0.21097763063728192, -0.7349153895504856, -1.3460235198574877, -1.7457074803868364, -1.6414038956747798, -0.827291008925367, 0.7570660343956537, 2.9986776117829623, 5.621728504923183, 8.236260241988562, 10.42202331181494, 11.841130335802172, 12.297764164067681, 11.765615195333684, 10.383863494430836, 8.420258779044852, 6.213730337736607, 4.106105123788454, 2.3575833233127956, 1.1060137306047082, 0.36391650162402095, 0.04390500294019884, 0.002127507270674338, 0.086476175520086, 0.17745824491111853, 0.21090407584073437, 0.17803171836571455, 0.10746748122032096, 0.03891648193887275, -0.00022228062572474596, -0.006300549678682272, 0.0038910231290734836, 0.008039024374417359, -0.003511808377081335, -0.01731327252690689, -0.0037821477698387063, 0.056578022124275464, 0.1338189028991537, 0.1071501354461129, -0.263253981993799, -1.333312368185879, -3.5217536514608505, -7.225621157335352, -12.71600469356009, -20.031846213823233, -28.89721132277434, -38.68924071271526, -48.495782047992435, -57.24190845263806, -63.852712321512044, -67.4317421012385, -67.42231356529095, -63.73652958190118, -56.83712669464026, -47.613969612107496, -37.20991701644659, -26.823378808371412, -17.510575112022806, -10.02785358383166, -4.735875960298367, -1.571607897031372, -0.13376305690947513, 0.16881274920439548, -0.05014947433276949, -0.30179086161070556, -0.31783828404628717, -0.07315037453581408, 0.26237331193973507, 0.4212128423011754, 0.15454680698423523, -0.6660845973990438, -1.9941514441035308, -3.6149764296602602, -5.202969301621774, -6.4108640872339295, -6.965498185050496, -6.747112175724637, -5.83146665255626, -4.451523572741497, -2.922948551866675, -1.555024090061135, -0.5683658744567721, -0.041911670221719224, 0.09740470396148367, 0.0364340055953785, -0.0010999206324287347, 0.1603300869535409, 0.5814787531872309, 1.180928955249628, 1.7587293273096452, 2.0636737806556087, 1.8826698638325043, 1.1256121403985686, -0.12028754268450823, -1.5855581279820807, -2.8734849409607564, -3.5610865420048188, -3.312316810422747, -1.9765508846163435, 0.3535948038813222, 3.342740407184352, 6.481781404382712, 9.20725430004964, 11.029086628117915, 11.639804187127552, 10.980089040043028, 9.24837955982354, 6.851084251998554, 4.282140980111587, 2.0002571041929436, 0.3292212498413461, -0.5996411534336838, -0.8512102871695987, -0.637809953771134, -0.2331508422010004, 0.11941876912951069, 0.276213772141893, 0.22247773334682344, 0.05608638760155988, -0.06782582884003004, -0.01052665104801669, 0.28933274890821864, 0.7863444268980581, 1.339598776916206, 1.7623567481436688, 1.8976683956530978, 1.6841218898188495, 1.187756997161168, 0.5881369011096639, 0.1183153132850959, -0.026755441634240533, 0.21109276472990976, 0.6825765235847489, 1.0213995160430034, 0.7044700188688034, -0.8255384470536211, -4.0015032907797705, -8.985309647858973, -15.57128923429372, -23.16534675384959, -30.853541806212867, -37.552234193132136, -42.22764394713452, -44.16250116819127, -43.07795300176538, -39.174200061448225, -33.086017998636486, -25.751366609865467, -18.228724035107618, -11.493574911523066, -6.21516924009203, -2.6612731636755926, -0.7133452031262008, 0.03204349745929773, 0.10636746669065779, -0.0010345851871983434, 0.017439252788480644, 0.21801137920494462, 0.4211036247166621, 0.30150438176191807, -0.4760432000418593, -2.119271998991136, -4.614623778005239, -7.699492907583221, -10.906523239626498, -13.667745447641115, -15.456098826741066, -15.934916646303236, -15.030154237653614, -12.937784561393391, -10.070153489334308, -6.953448468218082, -4.104306798320154, -1.913770228325099, -0.5657102432721998, -0.02506795569230781, -0.08338324916913535, -0.44203351363198357, -0.8080188114681978, -0.975549470143649, -0.8689419209691517, -0.5397981319740897, -0.12611417626778162, 0.21049909112077167, 0.3484615293308548, 0.24829620357574136, -0.04149781367268224, -0.4082425213053157, -0.7184418579789148, -0.8659536633226155, -0.8105095219372107, -0.5931284332952357, -0.31035154847443075, -0.07245341593376363, 0.040270876861919, 0.010340672031134692, -0.10550774753857335, -0.19123481203025938, -0.11334087943593552, 0.22783967712763029, 0.8562291707788, 1.701022643112902, 2.607587937636446, 3.377276272869043, 3.82365732364292, 3.8278953165263605, 3.376384553009645, 2.568761509641564, 1.5925854361963898, 0.6700232105593616, -0.0028154654748121016, -0.30648615911390603, -0.22687961245352473, 0.14580415825440718, 0.6483514587613065, 1.1008487542713163, 1.3611545641474894, 1.3600272040634256, 1.1126735420868266, 0.7053963794099737, 0.26281849733694773, -0.09618761079713008, -0.2996279457559348, -0.33839786645220815, -0.2582944793470076, -0.1341461231764775, -0.0361993223247623, -0.0002382087491590339, -0.012636292710692333, -0.01845006086217952, 0.05207069525540121, 0.2491765528120787, 0.5747117347723696, 0.9710611057482247, 1.3333938893422983, 1.5417859296967498, 1.5030398356723993, 1.1879053814894558, 0.6502806224964307, 0.018601486278220142, -0.5426583682731814, -0.8834566013533887, -0.9163201112970438, -0.646989284739383, -0.17525004873076042, 0.3404079325104636, 0.7378332925480785, 0.9052275445503787, 0.8180524990978282, 0.5456318590256906, 0.22326764835731455, -0.007234167984220382, -0.0716786014412251, -0.009387762513036212, 0.023165391755514755, -0.20459068557918048, -0.9146259366211245, -2.2146194488616344, -4.010363969382879, -5.976057596168866, -7.598956543538937, -8.29505355724356, -7.570947739124198, -5.193842226010288, -1.3188964150594942, 3.478153973648076, 8.28342994843352, 12.03402139063491, 13.774048359990235, 12.901462189731513, 9.338796144807057, 3.5949148623093987, -3.310586406691054, -10.053740293843553, -15.31624081587093, -18.143464553910214, -18.13094844479473, -15.486555269738126, -10.962730852797543, -5.663356217174453, -0.7673299589412277, 2.783732637314783, 4.514686871603093, 4.477697395148876, 3.170944435564344, 1.3489763335258564, -0.21983914842849384, -0.9889964042985087, -0.7921821003744156, 0.14796310080252947, 1.3374232504362475, 2.2078536768849544, 2.33134100750138, 1.5874378072945532, 0.2099292050754076, -1.2961613165900112, -2.3336103012672957, -2.42951964884381, -1.4202479173418303, 0.456850508904985, 2.625108890923698, 4.358793139429188, 5.043479800166798, 4.428372095866601, 2.786476471551877, 0.9172553213518074, -0.022797781979999137, 1.1773568058974544, 5.420472778846045, 12.972199509139717, 23.27452072100719, 35.02662385979797, 46.43448097338799, 55.57538011140331, 60.81400038492819, 61.170782324176216, 56.586812991272915, 48.02685823748576, 37.12498313455922, 25.755865728162526, 15.614728817665283, 7.870599399829009, 2.971731661618818, 0.6327066834520125, 0.004579537718514119, 0.013321928400008795, -0.27851330857812334, -1.3944315922461339, -3.3222830526655334, -5.579969022481806, -7.435517692045285, -8.20297376308076, -7.521203579013947, -5.529440818292397, -2.884640718117538, -0.6037425956265685, 0.22988414733843915, -1.215463376187907, -5.2561863053051505, -11.553825897166899, -19.148951377205766, -26.696382253452374, -32.78241522304092, -36.24454466276373, -36.42996710981069, -33.33235590199787, -27.588928168733062, -20.336335979862337, -12.883292573539356, -6.409607117190378, -1.7382301198991439, 0.7899213207058278, 1.320157181682409, 0.37205815392504593, -1.3456962365959497, -3.1323820719752833, -4.4520203535634995, -5.020323994038584, -4.81664470548361, -4.030867009753908, -2.951322336735543, -1.860944220121873, -0.9649803263770315, -0.35930776787624286, -0.037582007377011485, 0.07429197958171645, 0.07123062058778357, 0.03200981544656711, 0.0014808224907686114, -0.008420495616755062, -0.005449269038956923, -0.0010505479444035755, 1.4670307073332923e-05, 0.00011357005087265143, 0.0014513841499394584, -0.0028177610192544186, -0.03240740685762172, -0.11492977487014971, -0.2732757170975388, -0.5104843076339816, -0.7991520668418841, -1.0814952317903315, -1.2837894543616104, -1.3443387605621582, -1.2354350234171092, -0.975573913037944, -0.6273529741479748, -0.27950872312969044, -0.01777782062108938, 0.10744193789349972, 0.10196021649461907, 0.022995295309773078, -0.048591670995060385, -0.05051591115983225, 0.018018258780881917, 0.06872906180638817, -0.07298914529056508, -0.6300026468330174, -1.8079758621664828, -3.719513488580599, -6.322346578646572, -9.401420707310583, -12.590879569714202, -15.436095203331632, -17.485584660877194, -18.39071848644683, -17.994456705344927, -16.38547126346053, -13.850945946692505, -10.802520715140323, -7.687382579406033, -4.898407923148299, -2.7021515993014362, -1.1974687753110762, -0.33120994974934914, 0.048702565829123516, 0.13053796396453715, 0.08358502836661427, 0.023116360159418353, -0.0007088873073594442, 0.0095126994326394, 0.02793794763410832, 0.03236936447795182, 0.018135941199042653, -0.0031782505127752143, -0.015477616609951636, -0.011723124232588814, -7.822408310491157e-05, 0.0026766885801997355, -0.011970172318281326, -0.026176087476736894, 0.012028838589821641, 0.17804834111452902, 0.5403444780963697, 1.117943676652204, 1.8412759857837302, 2.5384560832473584, 2.971292375101086, 2.8941856941166, 2.1296772020363703, 0.6429908428814085, -1.4105582638301317, -3.6839915868463886, -5.703992739288461, -7.015927698352353, -7.318005235368802, -6.556231773868144, -4.955583033061844, -2.9745658733870153, -1.1854040412336204, -0.09101196738172247, 0.03841131161373848, -0.7456782196674524, -2.0843200653634626, -3.427956512106797, -4.226047707078265, -4.133934466326229, -3.1549927791007946, -1.6597212787202897, -0.26109448480046393, 0.4287600874949282, 0.08887238119854517, -1.0759324553911962, -2.235925675608306, -2.0340102279512027, 1.1075448955001777, 8.530108498690081, 20.90524444709685, 37.92248693649553, 58.159668696176226, 79.20064120133007, 98.00257883033755, 111.53545760250671, 117.69529186990543, 115.61874027452679, 105.76975751924603, 89.81567666851595, 70.26883508245137, 50.010613801196094, 31.763636262137428, 17.38696683994139, 7.617443979528866, 2.1514278053094866, -0.04968568616069545, -0.33692870156083665, 0.0428036076203995, 0.2551737311236411, -0.0013441377455862494, -0.5766076629821001, -1.0899061161862176, -1.193326260327769, -0.7732602452792156, -0.005078734319043063, 0.7395296962067778, 1.0853631907440977, 0.8675211550050315, 0.2771640385660812, -0.13724736871576396, 0.36022745568065584, 2.4231583953220164, 6.3412298426316855, 11.842090321249712, 18.056893952848746, 23.704690045212875, 27.44558129245552, 28.273718845442488, 25.837544571208035, 20.587253926047772, 13.695768480069978, 6.7458193117355645, 1.2412102926209603, -1.8548854040170173, -2.4267883775772265, -1.2667632381810205, 0.14273174794021418, 0.0827915056670279, -2.852415667058504, -9.284139806225951, -18.781431247635467, -29.8788260782125, -40.412412081418566, -48.15944518443513, -51.411842486998744, -49.40385660631133, -42.515340636278836, -32.18950183559093, -20.604395461331293, -10.155051710790765, -2.7547037885908647, 0.6091782160289897, 0.03090437939763147, -3.435832370225365, -8.130206340730943, -12.261993524567087, -14.387066628422348, -13.752378521903328, -10.42392410746479, -5.1866244790175475, 0.7428455076507715, 6.109811135261993, 9.936068103151644, 11.716959576200717, 11.475922720404192, 9.677771169832985, 7.040894387082394, 4.299308792877276, 2.0051026703122408, 0.4423360122194866, -0.3668294280137539, -0.5888744577965279, -0.47479954482712877, -0.25888215975388423, -0.08617004989388181, -0.0028841265854474755, 0.012416101310901243, 0.0033945125155792647, -0.0009331284450861844, -0.00019789020944169965, -0.011344310111620844, -0.04238781561670923, -0.06911574033920517, -0.0300579147677938, 0.15445889796816067, 0.5474319493101151, 1.1590870862352023, 1.9247098138591936, 2.7081141761840857, 3.3334080678565012, 3.6407015553134836, 3.551562776927778, 3.088875950638505, 2.3669523518413245, 1.5562754096226536, 0.8310753773586698, 0.31673624848315335, 0.05230602561211808, -0.016117778121533352, -0.00024322055468281164, -0.015941304420377812, -0.1332648331100056, -0.3483591701094024, -0.5880814228574255, -0.7477469139592853, -0.7453798791611955, -0.568392477729545, -0.29163096358820423, -0.05606487701803717, -0.01248681351371468, -0.2500879260504304, -0.736928882797463, -1.2975286948683264, -1.643088399033723, -1.4539525470623915, -0.4889840324880612, 1.3254029211584264, 3.842991447126588, 6.700548637463703, 9.382047353074313, 11.34404053484158, 12.193146381769692, 11.7725832339544, 10.18648714841334, 7.768105171958967, 4.995328417068814, 2.380480548497223, 0.3541956596691663, -0.8551366993796122, -1.2485350718975299, -1.0140996120646175, -0.44373081417907306, 0.16342546269987224, 0.5833732448714823, 0.712250960226754, 0.5680609960775476, 0.25538475583171266, -0.08918619133584339, -0.35054594880780016, -0.4708693760803756, -0.4536056713098238, -0.3452825860824913, -0.20753347363425, -0.09105392889537328, -0.02054922086456284, 0.006147666398296548, 0.007120210460129398, 0.001574874641299565, -7.258085279673656e-05, 0.0021458491741494796, 0.0029775551760597646, -0.0006495388975568301, -0.005667243460216545, -0.005196925587057431, 0.004717307627050927, 0.019085379695829532, 0.024100853391613313, 0.005727001181388936, -0.03734828438709479, -0.08538907287428288, -0.1036218983035173, -0.06792127269405841, -0.006639874378565316, -0.04275089078491099, -0.4107645449035024, -1.429036113219278, -3.417042358485172, -6.5651626741126154, -10.79145851155159, -15.658714579210196, -20.37051149446291, -23.87197319151127, -25.0609783280331, -23.076190542237324, -17.6220630370428, -9.250389451442217, 0.7087319640171027, 10.382737285873135, 17.731159947455208, 21.007619821591913, 19.21379431185891, 12.454021475809158, 1.9767378301152203, -10.109967417428665, -21.337320608682106, -29.46728696525703, -33.03088853743783, -31.685654248809733, -26.263906006812974, -18.48676418147234, -10.456296472018334, -4.073464988490921, -0.5413003361116131, -0.10218456659230486, -2.102620818199283, -5.2986524499519065, -8.295644923073723, -9.987600455778233, -9.873466969316256, -8.158631848217201, -5.5430439511573315, -2.886312523796394, -0.8786117854134593, 0.17782294648361535, 0.4072317507177708, 0.21439157802911987, 0.016936145566868097, -0.0007352887618322452, 0.019796921978486884, -0.26376079118387685, -1.069803211330599, -2.082418854447063, -2.1336411554794203, 0.8580508688069124, 9.593470617131578, 26.743758895953196, 54.06922017754283, 91.6028695564923, 137.17998220139208, 186.41852130096453, 233.23346971335812, 270.83427888296944, 293.14316329353693, 296.51196460858665, 280.3255967972138, 247.03858619230238, 201.67344564848707, 150.80779195197232, 101.31645375937391, 59.07396436235663, 27.675446885322504, 8.043326626576762, -1.2677145102776415, -3.2854221868995426, -1.598632272564818, 0.6280801786329855, 1.366453414862579, -0.019036059669597764, -2.9587727708510254, -6.182846224598334, -8.354522450988556, -8.621642490841463, -6.870132298227158, -3.6883738753475432, -0.10538168753360865, 2.7902393962470087, 4.223163638824824, 3.9763902913042393, 2.3763221108598644, 0.1043847163087655, -2.067673845794362, -3.5302904758870257, -4.0035318523607035, -3.5803280786307345, -2.612578019170049, -1.5275964181616057, -0.6619421041873323, -0.166569376541962, -0.004237950767154048, -0.023555302414172082, -0.0670351720573293, -0.05563303038330797, -0.007855216531829978, 0.012381714805502752, -0.00930448883006952, 0.049121743016740146, 0.4746656416572156, 1.6631999509667759, 3.98389015816402, 7.602117380772919, 12.332875110505327, 17.630484904369165, 22.66712719141024, 26.496201458108438, 28.27475001362585, 27.485130402962465, 24.121190083593948, 18.787292451663934, 12.459685727494984, 6.219502574609312, 1.0083248559333944, -2.5618053594022547, -4.302836916549894, -4.445694576084027, -3.5239944412206037, -2.1674231496206233, -0.909659402897437, -0.0675024065169674, 0.28719315060380335, 0.2739887967169287, 0.10157754955609914, -0.043763863969796715, -0.07302978688964055, -0.00964338582307374, 0.05160145993612374, 0.015005310222507322, -0.15450158043491855, -0.4033345434680042, -0.6057256997710975, -0.618698806713073, -0.35382187320962954, 0.16992205091549292, 0.8218969568087635, 1.396390392649377, 1.678079555531483, 1.5157819975480566, 0.8828287502171723, -0.09813546059898119, -1.2006296543691104, -2.166895296760487, -2.782913485833142, -2.9357802635141743, -2.6395400140580128, -2.024543848849725, -1.280928265644017, -0.5936474718020701, -0.0917066587289423, 0.1763369177602902, 0.23774980377037894, 0.16872639140006715, 0.05613541171934521, -0.03462596946183038, -0.07476656973768027, -0.06910697995438511, -0.04086007484103171, -0.013640238542673752, 0.0004517336540230042, 0.002470082502064462, 0.0002542506736520706, -0.0001949395293645236, 0.00034743450559282085, -0.003930218163940677, -0.017392451434513654, -0.036942091751989564, -0.051266306781417456, -0.047276681323577506, -0.021456283065786723, 0.010541694199625147, 0.015476858870257933, -0.04222536457124791, -0.17684709244839478, -0.36131763450961757, -0.5251476959227154, -0.5802882434129712, -0.46611866165969146, -0.1960060092405684, 0.10659828569659979], 'positive_zeros': ['0.07154066185754190947194523074770', '0.47980034374181565795987252547692', '0.933250612832069360313266429735800', '1.10873804122669826591092970611445', '1.28640420678961987446190023844527', '1.80768634455546148930607158416206', '2.21988188673473671521923161393805', '2.32532413187893770101005317513416', '2.55562327694977164531846327964481', '2.71205513838039692944580665886353', '2.79782609462110289642465101268577', '3.42449187422810904860881637857716', '3.51210471927325030614819529791611', '3.52017977232265757727018159209256', '3.71518288851732628121666787720271', '3.83717696812735753892781644989625', '3.85536816313664361228109378132433', '4.07560655381895995282978745949898', '4.34704890597374620454112435075261', '4.57518180656865574116441096227322', '4.59957708624467858620712586219790', '4.80462145462906018445902877861645', '4.85289405987524021816122538440858', '5.10907662013859404269781812493323', '5.31858402971488320460418665568118', '5.48022236056030972948458749566223', '5.63967621378665196005227340396414', '5.90795553461681228344939407725982', '5.93176213792738999685610177364458', '6.05988814232510381737744993669173', '6.13353763344838522930619084443857', '6.43212986623542424732250820957358', '6.70628609147252988705699630839877', '6.72957701907450987536875014462663', '6.93012852839441842776122818059923', '7.12741207866359683834639781867723', '7.47829180347776677973065330055608', '7.53514940191952649280334868245823', '7.54200778198801671637102103373948', '7.54958052116997577577626274222624', '7.59003750877674087885400425566987', '7.71017603000176916106542868770281', '8.266356920546430463523799036228373', '8.332534476752644375068060409078123', '8.444677496671700801275640934962072', '8.537164115714719925499328096909399', '8.607430707853634076756304858730795', '8.661629216843652913407134814607850', '8.690896900615333546563292121162310', '8.860520925298505985271384666271375', '9.166625709314877646044984456093906', '9.191139221037191315633892515739929', '9.500197507261322378282750446866706', '9.596999695201920799730399477067104', '9.803671088568408597423983109344741', '9.841746554166867498580831334292464', '9.930563479378253778052293690262219', '9.996885988258591135292505658329525', '10.36019751932403737769035405332699', '10.39737996702642924786376461217226'], 'prelabel': '12-930e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 1334218998205492464, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.07154066185754190947194523075', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.47980034374181565795987252548', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.933250612832069360313266429736', 'prec': 107}}