{'Lhash': '709966392919182793902526400140', 'a10': [0.0, 0.0], 'a2': [-1.6489302058776025, 0.0], 'a3': [-1.0, 0.0], 'a4': [0.7189708238555526, 0.0], 'a5': [0.0, 0.0], 'a6': [1.6489302058776025, 0.0], 'a7': [-1.4411215600663079, 0.0], 'a8': [2.112327703155079, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.367462439628493, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [0, 0]]], [29, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 5, 29], 'central_character': '2175.1', 'coefficient_field': 'CDF', 'conductor': 2175, 'conductor_radical': 435, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.6489302058776025, 0], [2.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.4411215600663079, 0], [7.0, 0]], [[1.0, 0], [-0.19117613953292542, 0], [11.0, 0]], [[1.0, 0], [5.145013041969673, 0], [13.0, 0]], [[1.0, 0], [-3.5837898257471146, 0], [17.0, 0]], [[1.0, 0], [-7.847802071822421, 0], [19.0, 0]], [[1.0, 0], [7.392613686214189, 0], [23.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [7.187826547278159, 0], [31.0, 0]], [[1.0, 0], [-8.707730565373655, 0], [37.0, 0]], [[1.0, 0], [-2.3370340470760707, 0], [41.0, 0]], [[1.0, 0], [-3.6751112049077195, 0], [43.0, 0]], [[1.0, 0], [9.523758142303612, 0], [47.0, 0]], [[1.0, 0], [10.905329028584628, 0], [53.0, 0]], [[1.0, 0], [-14.205073285175285, 0], [59.0, 0]], [[1.0, 0], [-8.45202448781185, 0], [61.0, 0]], [[1.0, 0], [9.966234137363713, 0], [67.0, 0]], [[1.0, 0], [4.725622955361585, 0], [71.0, 0]], [[1.0, 0], [-9.06473446274224, 0], [73.0, 0]], [[1.0, 0], [8.78711121726383, 0], [79.0, 0]], [[1.0, 0], [15.8701166984038, 0], [83.0, 0]], [[1.0, 0], [11.608515517102152, 0], [89.0, 0]], [[1.0, 0], [-9.854817278130763, 0], [97.0, 0]], [[1.0, 0], [5.333261252090572, 0], [101.0, 0]], [[1.0, 0], [-13.147609801201716, 0], [103.0, 0]], [[1.0, 0], [-15.279986852022251, 0], [107.0, 0]], [[1.0, 0], [-9.880417642771206, 0], [109.0, 0]], [[1.0, 0], [6.306558435399511, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20216494, 'index': 7, 'label': '2-2175-1.1-c1-0-7', 'leading_term': '0.48279781453884639464203965957407', '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/2175/2/a/bc/1/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [0.4827978145388464, 0.47758520749138633, 0.4619166642358993, 0.43570819144348877, 0.3988463649884593, 0.35122589752480093, 0.29279799184071187, 0.22362589491743745, 0.143943794924454, 0.05421524510304386, -0.04481244070376195, -0.15206099598850642, -0.2660839676974534, -0.3850417816832293, -0.50669105803805, -0.6283897524462708, -0.7471193221932713, -0.859524712184159, -0.9619725076980707, -1.0506270939825226, -1.1215440940691752, -1.1707797299930531, -1.194514081643905, -1.1891855215308937, -1.1516329083437737, -1.0792414573243414, -0.9700876041225707, -0.8230776755461381, -0.6380748099532532, -0.41600836488874976, -0.15896003952303686, 0.1297788508580972, 0.4456840636481885, 0.7830135013387662, 1.134864144968022, 1.4932731453485615, 1.8493639719641315, 2.1935369395083057, 2.5157017136639106, 2.8055475962468135, 3.0528455701119595, 3.247774318757819, 3.3812608021694253, 3.4453245493247633, 3.433413698290086, 3.3407200518020823, 3.164460086279071, 2.9041090098759685, 2.5615756493849844, 2.141307176427043, 1.65031445874081, 1.0981111170358862, 0.4965621316189687, -0.14035899925521247, -0.7969020944890647, -1.4559550362873794, -2.099531681024216, -2.709319640108295, -3.267271362700916, -3.756219114293585, -4.160492197378401, -4.466513243586788, -4.6633497403532145, -4.743197230561428, -4.701771897005514, -4.538592530797428, -4.257135155816132, -3.864847765324882, -3.3730176009641126, -2.79648900314124, -2.153235880183401, -1.463799043076801, -0.7506047703307922, -0.037186726801606416, 0.6526615172245139, 1.2957719018603828, 1.8704906912862354, 2.357534426616894, 2.7407765425999453, 3.007929554160562, 3.1510907222804523, 3.1671236833944976, 3.057854544487754, 2.8300682038639575, 2.4952988813533636, 2.069417696661122, 1.5720292374858376, 1.0256979945974962, 0.455033880330777, -0.11432663207652857, -0.6568013019058634, -1.1479582480393964, -1.5655786890338772, -1.89063767313736, -2.108156579184687, -2.2078858564035433, -2.1847833032697177, -2.039261911055613, -1.7771915588156524, -1.4096501925160267, -0.9524320270296706, -0.42533220060053417, 0.14876141081949132, 0.7449284377810387, 1.337379219793998, 1.9006657848360726, 2.410881966052374, 2.8467934411758327, 3.190840909778705, 3.429965023344131, 3.55620986090272, 3.5670723516208236, 3.465577596310022, 3.260073922449159, 2.9637560197108885, 2.5939388855064602, 2.1711187852985394, 1.717869247538349, 1.2576295824750894, 0.8134499600998163, 0.40676027159771455, 0.05622957099385453, -0.2232212163161232, -0.4211982844047147, -0.5323614558590685, -0.5566675455118693, -0.49931539641739836, -0.3703940164023595, -0.1842520619458343, 0.04137701738484314, 0.28644548861861985, 0.5297970056248095, 0.7504384450664938, 0.9288042876956641, 1.0479395302573014, 1.0945310642056654, 1.0597256123274537, 0.9396842770247225, 0.7358388895136667, 0.4548328150660735, 0.10814766053827574, -0.28856366455647225, -0.7163990160021572, -1.1543296915899317, -1.5804562828560504, -1.973321305191533, -2.3131978350977676, -2.5832739652769146, -2.7706584940567582, -2.867143648959213, -2.869675251128037, -2.7804987224460973, -2.6069696484162725, -2.361038989875991, -2.058444137348973, -1.7176564582608649, -1.3586525047547158, -1.001588490108043, -0.6654651012682169, -0.3668715909880621, -0.11889413183077448, 0.06973626130535512, 0.19519582090770835, 0.2587789478001794, 0.2667491977838998, 0.2298357431264204, 0.16240507606777693, 0.08136062910107066, 0.0048428597433946554, -0.04918224113194265, -0.06434847741830746, -0.027227545556846477, 0.07151762590119676, 0.23625145994341723, 0.4658267234521835, 0.7534363716672176, 1.08687863423049, 1.4492293354242747, 1.8198865853044954, 2.175925640931978, 2.4936778566264888, 2.7504289849826646, 2.926120121932258, 3.0049303635399878, 2.9766243150638854, 2.8375599652533694, 2.5912725379177304, 2.24857663052572, 1.8271606212755112, 1.3506819448822371, 0.8474071002963839, 0.3484737312579216, -0.1141185789533309, -0.5096592211526044, -0.8108748563287952, -0.9959255266083293, -1.0501039846348659, -0.9671088498146635, -0.7497869490648479, -0.4102731154744364, 0.03050519380407487, 0.5439483333424239, 1.0954762262447113, 1.6466962602137871, 2.1579157996784972, 2.5908392558668876, 2.9112711778675533, 3.091640032820204, 3.1131631037166536, 2.967491277043755, 2.6577025742254317, 2.198553411188399, 1.6159443060161751, 0.9456090439092372, 0.23108968483369435, -0.4788893907120249, -1.1334905485834013, -1.6830820081659388, -2.082590845056578, -2.294664781254035, -2.292423837768306, -2.061604268816687, -1.6019326647558652, -0.927615654179012, -0.06688730948396174, 0.939381495227374, 2.03994404829526, 3.1761808920183943, 4.285663627927113, 5.306055898099871, 6.179100142567175, 6.854427382441693, 7.292933592288273, 7.469490151125796, 7.374796118022431, 7.016234217575312, 6.41765697493957, 5.6181001447865535, 4.669492656511101, 3.6335007869916307, 2.5777043725226583, 1.5713502890672055, 0.6809596900360232, -0.03392180059563253, -0.5245487095210886, -0.7561193174032922, -0.7100266207124731, -0.38506414898521724, 0.20249582283744005, 1.0199579708477389, 2.020322854486434, 3.1453260183256555, 4.329191512037942, 5.5028455750484, 6.598305404746957, 7.552947021008181, 8.313366082074614], 'positive_zeros': ['0.56006473139472308493909671056178', '1.79080821953127293385960464746030', '3.09276178305079768419663398661342', '4.28043465467541760506844085575993', '5.20293871628753033906838984967718', '5.96169586029042691433341179440165', '7.10045181058122359229682942545723', '7.54836464253465057287720286816186', '8.219734998988752636574827333460301', '9.409590795301012141403926640534968'], 'prelabel': '2-2175-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.167428756395062, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.56006473139472308493909671056', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.79080821953127293385960464746', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.09276178305079768419663398661', 'prec': 103}}