{'Lhash': '811356121343605152020899908101', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-4.873394736005073, 0.0], 'a4': [0.0, 0.0], 'a5': [-5.0, 0.0], 'a6': [0.0, 0.0], 'a7': [7.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-3.2500237470780418, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 66.08213920642952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [5.0, 0]]], [7, [[1.0, 0], [-7.0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '1120.1', 'coefficient_field': 'CDF', 'conductor': 1120, 'conductor_radical': 70, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [4.873394736005073, 0], [27.0, 0]], [[1.0, 0], [5.0, 0]], [[1.0, 0], [-7.0, 0]], [[1.0, 0], [-49.73694830239522, 0], [1331.0, 0]], [[1.0, 0], [-42.78597559513413, 0], [2197.0, 0]], [[1.0, 0], [-27.218286287649132, 0], [4913.0, 0]], [[1.0, 0], [97.88731194983593, 0], [6859.0, 0]], [[1.0, 0], [59.171844622628996, 0], [12167.0, 0]], [[1.0, 0], [99.22324431193759, 0], [24389.0, 0]], [[1.0, 0], [-127.43743059713144, 0], [29791.0, 0]], [[1.0, 0], [47.92519349503009, 0], [50653.0, 0]], [[1.0, 0], [-169.9002490501075, 0], [68921.0, 0]], [[1.0, 0], [436.07436211931633, 0], [79507.0, 0]], [[1.0, 0], [427.97038052811155, 0], [103823.0, 0]], [[1.0, 0], [-406.86909991775303, 0], [148877.0, 0]], [[1.0, 0], [730.0385083969711, 0], [205379.0, 0]], [[1.0, 0], [463.48496193048624, 0], [226981.0, 0]], [[1.0, 0], [-438.56238530464583, 0], [300763.0, 0]], [[1.0, 0], [-421.4471092008547, 0], [357911.0, 0]], [[1.0, 0], [-1116.0534723609119, 0], [389017.0, 0]], [[1.0, 0], [-845.6906896481315, 0], [493039.0, 0]], [[1.0, 0], [423.47866781578006, 0], [571787.0, 0]], [[1.0, 0], [-1571.5602404165206, 0], [704969.0, 0]], [[1.0, 0], [-1467.9470998013028, 0], [912673.0, 0]], [[1.0, 0], [-1598.5902914816468, 0], [1030301.0, 0]], [[1.0, 0], [518.7163379478894, 0], [1092727.0, 0]], [[1.0, 0], [1608.2780183792208, 0], [1225043.0, 0]], [[1.0, 0], [1747.4985114116728, 0], [1295029.0, 0]], [[1.0, 0], [82.39227629040035, 0], [1442897.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20136382, 'index': 15, 'label': '2-1120-1.1-c3-0-15', 'leading_term': '1.300206068410549024115408438708', 'load_key': 'CMFs-workshop', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1120/4/a/r/1/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.300206068410549, 1.287432414306457, 1.2493038617583234, 1.1863973230548686, 1.0996731461934703, 0.9904729571645173, 0.8605158636427597, 0.7118922959252318, 0.547054624681564, 0.3688036072308669, 0.180269680733482, -0.015111854309510247, -0.2136326320715024, -0.4113507290514554, -0.6041384099235256, -0.7877383898219138, -0.9578285971312556, -1.1100950914059737, -1.2403124362998321, -1.3444304585503264, -1.4186659533312025, -1.4595975366260514, -1.4642615101596446, -1.4302463075378218, -1.3557828451551934, -1.2398279211940708, -1.0821377027951886, -0.8833283259882545, -0.6449207141281444, -0.36936690495090696, -0.06005546769653077, 0.27870600943827434, 0.6417328780354308, 1.023030750235942, 1.4158884103239906, 1.8129957874234037, 2.206585648864447, 2.5885968334628306, 2.950856000040707, 3.2852740475897377, 3.584052599924774, 3.839895270771112, 4.046217866031129, 4.19735126816484, 4.288730510240976, 4.317063507421168, 4.280473089444138, 4.178606380799054, 4.012706210119413, 3.785640093143426, 3.5018834118890867, 3.1674546849632708, 2.789802259647033, 2.3776433164553548, 1.9407577143159305, 1.489740865740708, 1.0357214576339824, 0.5900513626870788, 0.16397645554911494, -0.231701804669707, -0.586963296474335, -0.8928933973743592, -1.1419829570124311, -1.3283928971399313, -1.4481729188230295, -1.4994248874764573, -1.4824029673265444, -1.399544457398378, -1.2554274926598425, -1.0566542516750024, -0.8116609762090761, -0.5304588661358114, -0.22431266234792735, 0.09463363749531628, 0.41377208149606926, 0.7204731680645435, 1.0025398071933456, 1.248656192438122, 1.4488144388786404, 1.5947019989475202, 1.6800337092155693, 1.70081384946852, 1.6555157845223158, 1.5451695537037036, 1.3733510885001279, 1.1460704643720139, 0.8715605931844987, 0.5599718838903911, 0.22298247295994866, -0.12666252263215663, -0.47566582346091213, -0.8107270818494079, -1.119104285618021, -1.3891641782698956, -1.6108980191427453, -1.7763796283508273, -1.880144307441161, -1.9194698732035413, -1.8945446186961605, -1.8085114067153873, -1.6673821486249318, -1.479822430100096, -1.256811788777608, -1.0111908790495716, -0.7571122167882313, -0.5094161220015428, -0.2829576225948982, -0.09191322394064252, 0.05090160099474484, 0.13467272906096964, 0.15115484170616722, 0.09513759134453849, -0.03521430219654006, -0.23816687295853223, -0.5083824488593082, -0.8370517884090841, -1.2121921820207915, -1.6191031185732672, -2.04096345037703, -2.459546789697352, -2.856025498958308, -3.2118284319521684, -3.509513840364614, -3.733616816202801, -3.8714304614758372, -3.9136817432451756, -3.8550666950244072, -3.6946151595514167, -3.4358624342709243, -3.0868136922994225, -2.6596965432499013, -2.1705071421685203, -1.6383653788128585, -1.0847043889208738, -0.5323284307113023, -0.004380596613855714, 0.47673253396119447, 0.8904086922536404, 1.2188584377324028, 1.4480040612758183, 1.5682224688293969, 1.5748919903313439, 1.468711590143709, 1.2557713097437306, 0.94736448716445, 0.5595448213574699, 0.11244407382617108, -0.37062151572385726, -0.8642168172795935, -1.3419765968025716, -1.7778613927980615, -2.147419730787638, -2.4289942521911074, -2.60481080551843, -2.661894171960038, -2.592761719814069, -2.395856585890597, -2.0756944996360813, -1.6427124991949098, -1.112822837165963, -0.5066905681840632, 0.15123214777517402, 0.8338688887699519, 1.5128218873348855, 2.1597498105434845, 2.7477503566433694, 3.252676414333906, 3.6543170984529287, 3.937381260019522, 4.092230806609792, 4.115323902467676, 4.009343212206759, 3.783001027530186, 3.4505304870946385, 3.0308892200470163, 2.5467176604252737, 2.0231080844961746, 1.4862513060108042, 0.9620352613960724, 0.47467295199546006, 0.045436127386225454, -0.3084343235426069, -0.5745798274774099, -0.7460891332407514, -0.8217446685537158, -0.8059362035987232, -0.7082469869980471, -0.5427366822909804, -0.32696343020683716, -0.08080311904654888, 0.17486350465417522, 0.4195167096049418, 0.6343335050869352, 0.8034110370495356, 0.914801369765526, 0.9612919511114364, 0.94088078700446, 0.8569134182240459, 0.7178691777152612, 0.5368057223080184, 0.33049219759487264, 0.11828130571639409, -0.07921224218392951, -0.2415460046144695, -0.3499072472981801, -0.38850063276919417, -0.345775600605217, -0.2154108892733014, 0.003013031541126409, 0.30370492226667817, 0.6747468939173449, 1.098577547700509, 1.5528551435190017, 2.0116575281935805, 2.4469533654194096, 2.830260538356932, 3.1343936878060457, 3.3351946853950887, 3.4131380713370363, 3.3547083781607627, 3.1534576758082573, 2.8106690604444386, 2.3355742342770345, 1.7450995143578258, 1.0631430261456167, 0.3194147672401554, -0.45210112083062537, -1.2149779117938648, -1.9323677345879118, -2.5690949407733603, -3.0936964377388176, -3.480284605715335, -3.710116714705235, -3.7727704222662988, -3.6668471418111324, -3.4001525707529177, -2.9893348449460144, -2.458993760513528, -1.8403072434143974, -1.1692516909735098, -0.48451900155957695, 0.17474667740273578, 0.7712565973269353, 1.271789008736535, 1.649168439435441, 1.8838891527151067, 1.9652800010680027, 1.8921353507214205, 1.6727693156983352, 1.3244862086840206, 0.872496658440865, 0.34834393583266593, -0.21206359502316796, -0.7706923903722781, -1.2897564027607202, -1.7340735852836022, -2.073257427871682], 'positive_zeros': ['0.64004712433972545739587737204862', '1.76855685313115880701346186365194', '3.42209136336495592617516466834532', '4.26006696926155811414211022054501', '5.19372260117373778774081905350187', '6.30455694733428474116222868592311', '6.54953529754033746686548141908653', '7.910661569962277002213301094302941', '8.568609525754151458296732806519593', '9.420405736269646679914071455576152'], 'prelabel': '2-1120-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.129092151429305, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.64004712433972545739587737205', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.76855685313115880701346186365', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.42209136336495592617516466835', 'prec': 103}}
