Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [309,2,Mod(80,309)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(309, base_ring=CyclotomicField(34))
chi = DirichletCharacter(H, H._module([17, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("309.80");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 309 = 3 \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 309.k (of order \(34\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.46737742246\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{34})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{34}]$ |
Embedding invariants
Embedding label | 197.19 | ||
Character | \(\chi\) | \(=\) | 309.197 |
Dual form | 309.2.k.a.80.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/309\mathbb{Z}\right)^\times\).
\(n\) | \(104\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{34}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.339807 | + | 0.169204i | 0.240280 | + | 0.119645i | 0.561846 | − | 0.827242i | \(-0.310092\pi\) |
−0.321566 | + | 0.946887i | \(0.604209\pi\) | |||||||
\(3\) | 0.161612 | + | 1.72449i | 0.0933069 | + | 0.995637i | ||||
\(4\) | −1.11843 | − | 1.48104i | −0.559215 | − | 0.740521i | ||||
\(5\) | 1.86326 | − | 1.69858i | 0.833274 | − | 0.759629i | −0.139786 | − | 0.990182i | \(-0.544642\pi\) |
0.973060 | + | 0.230552i | \(0.0740533\pi\) | |||||||
\(6\) | −0.236874 | + | 0.613340i | −0.0967034 | + | 0.250395i | ||||
\(7\) | 1.76047 | + | 0.329088i | 0.665394 | + | 0.124384i | 0.505602 | − | 0.862767i | \(-0.331271\pi\) |
0.159792 | + | 0.987151i | \(0.448918\pi\) | |||||||
\(8\) | −0.268956 | − | 1.43879i | −0.0950905 | − | 0.508689i | ||||
\(9\) | −2.94776 | + | 0.557399i | −0.982588 | + | 0.185800i | ||||
\(10\) | 0.920554 | − | 0.261920i | 0.291105 | − | 0.0828264i | ||||
\(11\) | 1.47203 | − | 2.95623i | 0.443832 | − | 0.891335i | −0.554420 | − | 0.832237i | \(-0.687060\pi\) |
0.998252 | − | 0.0590983i | \(-0.0188226\pi\) | |||||||
\(12\) | 2.37330 | − | 2.16808i | 0.685111 | − | 0.625871i | ||||
\(13\) | 5.74661 | + | 1.07423i | 1.59382 | + | 0.297937i | 0.904485 | − | 0.426504i | \(-0.140255\pi\) |
0.689336 | + | 0.724441i | \(0.257902\pi\) | |||||||
\(14\) | 0.542536 | + | 0.409704i | 0.144999 | + | 0.109498i | ||||
\(15\) | 3.23032 | + | 2.93866i | 0.834066 | + | 0.758760i | ||||
\(16\) | −0.863728 | + | 3.03569i | −0.215932 | + | 0.758922i | ||||
\(17\) | −2.31139 | − | 0.214181i | −0.560593 | − | 0.0519466i | −0.191759 | − | 0.981442i | \(-0.561419\pi\) |
−0.368834 | + | 0.929495i | \(0.620243\pi\) | |||||||
\(18\) | −1.09598 | − | 0.309364i | −0.258326 | − | 0.0729179i | ||||
\(19\) | 0.466922 | + | 0.289106i | 0.107119 | + | 0.0663254i | 0.578946 | − | 0.815366i | \(-0.303464\pi\) |
−0.471827 | + | 0.881691i | \(0.656405\pi\) | |||||||
\(20\) | −4.59959 | − | 0.859813i | −1.02850 | − | 0.192260i | ||||
\(21\) | −0.282998 | + | 3.08910i | −0.0617552 | + | 0.674097i | ||||
\(22\) | 1.00041 | − | 0.755473i | 0.213288 | − | 0.161067i | ||||
\(23\) | −1.65750 | + | 0.825338i | −0.345613 | + | 0.172095i | −0.610161 | − | 0.792278i | \(-0.708895\pi\) |
0.264548 | + | 0.964373i | \(0.414777\pi\) | |||||||
\(24\) | 2.43772 | − | 0.696340i | 0.497597 | − | 0.142140i | ||||
\(25\) | 0.125200 | − | 1.35112i | 0.0250399 | − | 0.270224i | ||||
\(26\) | 1.77097 | + | 1.33738i | 0.347316 | + | 0.262281i | ||||
\(27\) | −1.43763 | − | 4.99332i | −0.276671 | − | 0.960965i | ||||
\(28\) | −1.48157 | − | 2.97539i | −0.279990 | − | 0.562295i | ||||
\(29\) | 6.25004 | + | 6.85596i | 1.16060 | + | 1.27312i | 0.955701 | + | 0.294338i | \(0.0950991\pi\) |
0.204901 | + | 0.978783i | \(0.434313\pi\) | |||||||
\(30\) | 0.600453 | + | 1.54516i | 0.109627 | + | 0.282106i | ||||
\(31\) | −5.69587 | − | 1.62062i | −1.02301 | − | 0.291071i | −0.279748 | − | 0.960073i | \(-0.590251\pi\) |
−0.743260 | + | 0.669002i | \(0.766722\pi\) | |||||||
\(32\) | −2.77934 | + | 3.04879i | −0.491323 | + | 0.538956i | ||||
\(33\) | 5.33589 | + | 2.06074i | 0.928860 | + | 0.358728i | ||||
\(34\) | −0.749184 | − | 0.463875i | −0.128484 | − | 0.0795539i | ||||
\(35\) | 3.83918 | − | 2.37712i | 0.648941 | − | 0.401807i | ||||
\(36\) | 4.12240 | + | 3.74235i | 0.687067 | + | 0.623724i | ||||
\(37\) | 1.27659 | − | 3.29526i | 0.209870 | − | 0.541738i | −0.787328 | − | 0.616534i | \(-0.788536\pi\) |
0.997199 | + | 0.0747957i | \(0.0238305\pi\) | |||||||
\(38\) | 0.109745 | + | 0.177245i | 0.0178031 | + | 0.0287529i | ||||
\(39\) | −0.923776 | + | 10.0836i | −0.147923 | + | 1.61467i | ||||
\(40\) | −2.94504 | − | 2.22399i | −0.465651 | − | 0.351644i | ||||
\(41\) | 3.74280 | − | 4.10565i | 0.584526 | − | 0.641195i | −0.373583 | − | 0.927597i | \(-0.621871\pi\) |
0.958110 | + | 0.286402i | \(0.0924592\pi\) | |||||||
\(42\) | −0.618852 | + | 1.00181i | −0.0954909 | + | 0.154583i | ||||
\(43\) | 0.764844 | + | 1.97429i | 0.116638 | + | 0.301076i | 0.978559 | − | 0.205965i | \(-0.0660333\pi\) |
−0.861922 | + | 0.507041i | \(0.830739\pi\) | |||||||
\(44\) | −6.02465 | + | 1.12620i | −0.908250 | + | 0.169781i | ||||
\(45\) | −4.54565 | + | 6.04560i | −0.677625 | + | 0.901224i | ||||
\(46\) | −0.702881 | −0.103634 | ||||||||
\(47\) | −11.7834 | −1.71879 | −0.859394 | − | 0.511313i | \(-0.829159\pi\) | ||||
−0.859394 | + | 0.511313i | \(0.829159\pi\) | |||||||
\(48\) | −5.37462 | − | 0.998889i | −0.775759 | − | 0.144177i | ||||
\(49\) | −3.53636 | − | 1.36999i | −0.505195 | − | 0.195713i | ||||
\(50\) | 0.271158 | − | 0.437935i | 0.0383476 | − | 0.0619334i | ||||
\(51\) | −0.00419369 | − | 4.02059i | −0.000587235 | − | 0.562995i | ||||
\(52\) | −4.83621 | − | 9.71241i | −0.670661 | − | 1.34687i | ||||
\(53\) | −5.53888 | − | 3.42953i | −0.760824 | − | 0.471082i | 0.0903866 | − | 0.995907i | \(-0.471190\pi\) |
−0.851210 | + | 0.524825i | \(0.824131\pi\) | |||||||
\(54\) | 0.356373 | − | 1.94002i | 0.0484962 | − | 0.264003i | ||||
\(55\) | −2.27863 | − | 8.00856i | −0.307251 | − | 1.07987i | ||||
\(56\) | − | 2.62145i | − | 0.350306i | ||||||
\(57\) | −0.423101 | + | 0.851928i | −0.0560411 | + | 0.112841i | ||||
\(58\) | 0.963751 | + | 3.38723i | 0.126547 | + | 0.444765i | ||||
\(59\) | 2.32349 | + | 12.4296i | 0.302493 | + | 1.61820i | 0.709455 | + | 0.704750i | \(0.248941\pi\) |
−0.406962 | + | 0.913445i | \(0.633412\pi\) | |||||||
\(60\) | 0.739392 | − | 8.07093i | 0.0954551 | − | 1.04195i | ||||
\(61\) | −0.176496 | + | 1.90469i | −0.0225979 | + | 0.243871i | 0.976941 | + | 0.213509i | \(0.0684893\pi\) |
−0.999539 | + | 0.0303614i | \(0.990334\pi\) | |||||||
\(62\) | −1.66128 | − | 1.51446i | −0.210983 | − | 0.192336i | ||||
\(63\) | −5.37287 | + | 0.0112084i | −0.676918 | + | 0.00141213i | ||||
\(64\) | 4.42578 | − | 1.71456i | 0.553223 | − | 0.214320i | ||||
\(65\) | 12.5321 | − | 7.75953i | 1.55441 | − | 0.962451i | ||||
\(66\) | 1.46449 | + | 1.60311i | 0.180266 | + | 0.197329i | ||||
\(67\) | −2.15489 | − | 11.5276i | −0.263261 | − | 1.40832i | −0.817482 | − | 0.575954i | \(-0.804631\pi\) |
0.554220 | − | 0.832370i | \(-0.313017\pi\) | |||||||
\(68\) | 2.26791 | + | 3.66280i | 0.275025 | + | 0.444180i | ||||
\(69\) | −1.69116 | − | 2.72497i | −0.203592 | − | 0.328048i | ||||
\(70\) | 1.70680 | − | 0.158158i | 0.204001 | − | 0.0189035i | ||||
\(71\) | −4.33671 | − | 3.95343i | −0.514673 | − | 0.469186i | 0.374195 | − | 0.927350i | \(-0.377919\pi\) |
−0.888868 | + | 0.458164i | \(0.848507\pi\) | |||||||
\(72\) | 1.59480 | + | 4.09130i | 0.187949 | + | 0.482164i | ||||
\(73\) | −0.738037 | + | 0.809588i | −0.0863807 | + | 0.0947551i | −0.780679 | − | 0.624932i | \(-0.785127\pi\) |
0.694298 | + | 0.719687i | \(0.255715\pi\) | |||||||
\(74\) | 0.991366 | − | 0.903749i | 0.115244 | − | 0.105059i | ||||
\(75\) | 2.35023 | − | 0.00245142i | 0.271381 | − | 0.000283066i | ||||
\(76\) | −0.0940421 | − | 1.01488i | −0.0107874 | − | 0.116414i | ||||
\(77\) | 3.56431 | − | 4.71991i | 0.406191 | − | 0.537884i | ||||
\(78\) | −2.02009 | + | 3.27017i | −0.228730 | + | 0.370274i | ||||
\(79\) | −8.24146 | + | 7.51308i | −0.927237 | + | 0.845288i | −0.988250 | − | 0.152849i | \(-0.951155\pi\) |
0.0610127 | + | 0.998137i | \(0.480567\pi\) | |||||||
\(80\) | 3.54702 | + | 7.12338i | 0.396569 | + | 0.796418i | ||||
\(81\) | 8.37861 | − | 3.28616i | 0.930957 | − | 0.365129i | ||||
\(82\) | 1.96652 | − | 0.761833i | 0.217166 | − | 0.0841304i | ||||
\(83\) | −2.33241 | + | 12.4773i | −0.256015 | + | 1.36956i | 0.577196 | + | 0.816606i | \(0.304147\pi\) |
−0.833211 | + | 0.552955i | \(0.813500\pi\) | |||||||
\(84\) | 4.89160 | − | 3.03581i | 0.533717 | − | 0.331234i | ||||
\(85\) | −4.67051 | + | 3.52700i | −0.506588 | + | 0.382557i | ||||
\(86\) | −0.0741579 | + | 0.800291i | −0.00799665 | + | 0.0862976i | ||||
\(87\) | −10.8130 | + | 11.8862i | −1.15927 | + | 1.27433i | ||||
\(88\) | −4.64930 | − | 1.32284i | −0.495617 | − | 0.141015i | ||||
\(89\) | −2.21739 | + | 2.93629i | −0.235042 | + | 0.311246i | −0.900217 | − | 0.435441i | \(-0.856592\pi\) |
0.665175 | + | 0.746688i | \(0.268357\pi\) | |||||||
\(90\) | −2.56758 | + | 1.28519i | −0.270647 | + | 0.135471i | ||||
\(91\) | 9.76319 | + | 3.78228i | 1.02346 | + | 0.396491i | ||||
\(92\) | 3.07616 | + | 1.53175i | 0.320712 | + | 0.159696i | ||||
\(93\) | 1.87422 | − | 10.0844i | 0.194347 | − | 1.04570i | ||||
\(94\) | −4.00409 | − | 1.99380i | −0.412990 | − | 0.205645i | ||||
\(95\) | 1.36107 | − | 0.254427i | 0.139642 | − | 0.0261037i | ||||
\(96\) | −5.70681 | − | 4.30024i | −0.582448 | − | 0.438891i | ||||
\(97\) | −1.17316 | − | 12.6604i | −0.119116 | − | 1.28547i | −0.820071 | − | 0.572262i | \(-0.806066\pi\) |
0.700954 | − | 0.713206i | \(-0.252758\pi\) | |||||||
\(98\) | −0.969872 | − | 1.06390i | −0.0979719 | − | 0.107470i | ||||
\(99\) | −2.69138 | + | 9.53476i | −0.270494 | + | 0.958279i | ||||
\(100\) | −2.14109 | + | 1.32571i | −0.214109 | + | 0.132571i | ||||
\(101\) | −5.91848 | + | 11.8859i | −0.588911 | + | 1.18269i | 0.377577 | + | 0.925978i | \(0.376757\pi\) |
−0.966487 | + | 0.256714i | \(0.917360\pi\) | |||||||
\(102\) | 0.678873 | − | 1.36693i | 0.0672184 | − | 0.135346i | ||||
\(103\) | −8.78310 | + | 5.08499i | −0.865425 | + | 0.501039i | ||||
\(104\) | − | 8.55708i | − | 0.839091i | ||||||
\(105\) | 4.71979 | + | 6.23648i | 0.460605 | + | 0.608618i | ||||
\(106\) | −1.30186 | − | 2.10258i | −0.126448 | − | 0.204220i | ||||
\(107\) | 3.69987 | − | 2.79401i | 0.357680 | − | 0.270107i | −0.408467 | − | 0.912773i | \(-0.633936\pi\) |
0.766146 | + | 0.642666i | \(0.222172\pi\) | |||||||
\(108\) | −5.78743 | + | 7.71386i | −0.556895 | + | 0.742267i | ||||
\(109\) | 16.8404 | − | 1.56049i | 1.61302 | − | 0.149468i | 0.752396 | − | 0.658711i | \(-0.228898\pi\) |
0.860623 | + | 0.509243i | \(0.170074\pi\) | |||||||
\(110\) | 0.580783 | − | 3.10692i | 0.0553755 | − | 0.296233i | ||||
\(111\) | 5.88898 | + | 1.66892i | 0.558957 | + | 0.158407i | ||||
\(112\) | −2.51957 | + | 5.05998i | −0.238077 | + | 0.478124i | ||||
\(113\) | 0.537604 | + | 1.88948i | 0.0505735 | + | 0.177747i | 0.982998 | − | 0.183618i | \(-0.0587811\pi\) |
−0.932424 | + | 0.361366i | \(0.882311\pi\) | |||||||
\(114\) | −0.287922 | + | 0.217900i | −0.0269664 | + | 0.0204083i | ||||
\(115\) | −1.68645 | + | 4.35322i | −0.157262 | + | 0.405940i | ||||
\(116\) | 3.16373 | − | 16.9245i | 0.293745 | − | 1.57140i | ||||
\(117\) | −17.5384 | + | 0.0365871i | −1.62143 | + | 0.00338248i | ||||
\(118\) | −1.31359 | + | 4.61680i | −0.120926 | + | 0.425011i | ||||
\(119\) | −3.99863 | − | 1.13771i | −0.366554 | − | 0.104294i | ||||
\(120\) | 3.35930 | − | 5.43813i | 0.306661 | − | 0.496431i | ||||
\(121\) | 0.0565714 | + | 0.0749126i | 0.00514285 | + | 0.00681024i | ||||
\(122\) | −0.382255 | + | 0.617363i | −0.0346077 | + | 0.0558934i | ||||
\(123\) | 7.68505 | + | 5.79091i | 0.692938 | + | 0.522148i | ||||
\(124\) | 3.97024 | + | 10.2484i | 0.356538 | + | 0.920331i | ||||
\(125\) | 5.53538 | + | 7.33002i | 0.495099 | + | 0.655617i | ||||
\(126\) | −1.82763 | − | 0.905301i | −0.162819 | − | 0.0806506i | ||||
\(127\) | 14.1131 | + | 15.4813i | 1.25234 | + | 1.37375i | 0.898820 | + | 0.438318i | \(0.144425\pi\) |
0.353515 | + | 0.935429i | \(0.384986\pi\) | |||||||
\(128\) | 10.0099 | + | 0.927550i | 0.884755 | + | 0.0819846i | ||||
\(129\) | −3.28104 | + | 1.63804i | −0.288880 | + | 0.144221i | ||||
\(130\) | 5.57142 | − | 0.516268i | 0.488646 | − | 0.0452797i | ||||
\(131\) | 1.65870 | − | 0.825936i | 0.144922 | − | 0.0721624i | −0.371815 | − | 0.928307i | \(-0.621264\pi\) |
0.516736 | + | 0.856145i | \(0.327147\pi\) | |||||||
\(132\) | −2.91579 | − | 10.2075i | −0.253787 | − | 0.888446i | ||||
\(133\) | 0.726859 | + | 0.662620i | 0.0630267 | + | 0.0574564i | ||||
\(134\) | 1.21827 | − | 4.28178i | 0.105243 | − | 0.369890i | ||||
\(135\) | −11.1602 | − | 6.86191i | −0.960520 | − | 0.590579i | ||||
\(136\) | 0.313500 | + | 3.38320i | 0.0268824 | + | 0.290107i | ||||
\(137\) | −6.89901 | + | 11.1423i | −0.589422 | + | 0.951949i | 0.409787 | + | 0.912181i | \(0.365603\pi\) |
−0.999209 | + | 0.0397680i | \(0.987338\pi\) | |||||||
\(138\) | −0.113594 | − | 1.21211i | −0.00966978 | − | 0.103182i | ||||
\(139\) | −1.83665 | + | 0.343329i | −0.155783 | + | 0.0291208i | −0.261063 | − | 0.965322i | \(-0.584073\pi\) |
0.105280 | + | 0.994443i | \(0.466426\pi\) | |||||||
\(140\) | −7.81448 | − | 3.02734i | −0.660444 | − | 0.255857i | ||||
\(141\) | −1.90435 | − | 20.3204i | −0.160375 | − | 1.71129i | ||||
\(142\) | −0.804708 | − | 2.07719i | −0.0675296 | − | 0.174314i | ||||
\(143\) | 11.6348 | − | 15.4070i | 0.972951 | − | 1.28840i | ||||
\(144\) | 0.853975 | − | 9.42993i | 0.0711646 | − | 0.785828i | ||||
\(145\) | 23.2908 | + | 2.15821i | 1.93420 | + | 0.179230i | ||||
\(146\) | −0.387775 | + | 0.150225i | −0.0320925 | + | 0.0124327i | ||||
\(147\) | 1.79103 | − | 6.31985i | 0.147721 | − | 0.521252i | ||||
\(148\) | −6.30820 | + | 1.79484i | −0.518531 | + | 0.147535i | ||||
\(149\) | − | 7.49281i | − | 0.613835i | −0.951736 | − | 0.306918i | \(-0.900702\pi\) | ||
0.951736 | − | 0.306918i | \(-0.0992976\pi\) | |||||||
\(150\) | 0.799040 | + | 0.396835i | 0.0652413 | + | 0.0324014i | ||||
\(151\) | −2.90928 | + | 0.827762i | −0.236754 | + | 0.0673624i | −0.389959 | − | 0.920832i | \(-0.627511\pi\) |
0.153205 | + | 0.988194i | \(0.451040\pi\) | |||||||
\(152\) | 0.290381 | − | 0.749560i | 0.0235530 | − | 0.0607973i | ||||
\(153\) | 6.93280 | − | 0.657008i | 0.560484 | − | 0.0531160i | ||||
\(154\) | 2.00980 | − | 1.00076i | 0.161955 | − | 0.0806438i | ||||
\(155\) | −13.3656 | + | 6.65529i | −1.07355 | + | 0.534566i | ||||
\(156\) | 15.9674 | − | 9.90965i | 1.27842 | − | 0.793407i | ||||
\(157\) | 0.0374707 | − | 0.0967229i | 0.00299048 | − | 0.00771933i | −0.930969 | − | 0.365098i | \(-0.881035\pi\) |
0.933959 | + | 0.357379i | \(0.116330\pi\) | |||||||
\(158\) | −4.07175 | + | 1.15851i | −0.323931 | + | 0.0921662i | ||||
\(159\) | 5.01905 | − | 10.1060i | 0.398037 | − | 0.801460i | ||||
\(160\) | 10.4016i | 0.822321i | ||||||||
\(161\) | −3.18958 | + | 0.907515i | −0.251375 | + | 0.0715222i | ||||
\(162\) | 3.40314 | + | 0.301032i | 0.267376 | + | 0.0236513i | ||||
\(163\) | 2.06863 | − | 0.801392i | 0.162028 | − | 0.0627698i | −0.278862 | − | 0.960331i | \(-0.589957\pi\) |
0.440890 | + | 0.897561i | \(0.354663\pi\) | |||||||
\(164\) | −10.2667 | − | 0.951349i | −0.801694 | − | 0.0742879i | ||||
\(165\) | 13.4425 | − | 5.22377i | 1.04649 | − | 0.406670i | ||||
\(166\) | −2.90377 | + | 3.84522i | −0.225376 | + | 0.298447i | ||||
\(167\) | −2.00205 | − | 5.16788i | −0.154923 | − | 0.399902i | 0.833321 | − | 0.552790i | \(-0.186437\pi\) |
−0.988244 | + | 0.152888i | \(0.951143\pi\) | |||||||
\(168\) | 4.52068 | − | 0.423659i | 0.348778 | − | 0.0326860i | ||||
\(169\) | 19.7474 | + | 7.65018i | 1.51903 | + | 0.588475i | ||||
\(170\) | −2.18385 | + | 0.408233i | −0.167494 | + | 0.0313100i | ||||
\(171\) | −1.53752 | − | 0.591954i | −0.117577 | − | 0.0452678i | ||||
\(172\) | 2.06858 | − | 3.34087i | 0.157728 | − | 0.254739i | ||||
\(173\) | −1.46341 | − | 15.7927i | −0.111261 | − | 1.20070i | −0.850028 | − | 0.526738i | \(-0.823415\pi\) |
0.738767 | − | 0.673961i | \(-0.235408\pi\) | |||||||
\(174\) | −5.68551 | + | 2.20940i | −0.431017 | + | 0.167494i | ||||
\(175\) | 0.665047 | − | 2.33740i | 0.0502729 | − | 0.176691i | ||||
\(176\) | 7.70275 | + | 7.02198i | 0.580617 | + | 0.529302i | ||||
\(177\) | −21.0593 | + | 6.01563i | −1.58291 | + | 0.452162i | ||||
\(178\) | −1.25031 | + | 0.622583i | −0.0937150 | + | 0.0466645i | ||||
\(179\) | −0.622490 | + | 0.0576822i | −0.0465271 | + | 0.00431137i | −0.115507 | − | 0.993307i | \(-0.536849\pi\) |
0.0689796 | + | 0.997618i | \(0.478026\pi\) | |||||||
\(180\) | 14.0378 | − | 0.0292844i | 1.04631 | − | 0.00218273i | ||||
\(181\) | 5.80550 | + | 0.537959i | 0.431520 | + | 0.0399862i | 0.305836 | − | 0.952084i | \(-0.401064\pi\) |
0.125684 | + | 0.992070i | \(0.459888\pi\) | |||||||
\(182\) | 2.67762 | + | 2.93721i | 0.198479 | + | 0.217721i | ||||
\(183\) | −3.31315 | + | 0.00345580i | −0.244915 | + | 0.000255460i | ||||
\(184\) | 1.63328 | + | 2.16282i | 0.120407 | + | 0.159445i | ||||
\(185\) | −3.21866 | − | 8.30832i | −0.236641 | − | 0.610840i | ||||
\(186\) | 2.34319 | − | 3.10963i | 0.171811 | − | 0.228009i | ||||
\(187\) | −4.03559 | + | 6.51769i | −0.295111 | + | 0.476621i | ||||
\(188\) | 13.1789 | + | 17.4517i | 0.961173 | + | 1.27280i | ||||
\(189\) | −0.887651 | − | 9.26368i | −0.0645671 | − | 0.673833i | ||||
\(190\) | 0.505549 | + | 0.143841i | 0.0366764 | + | 0.0104353i | ||||
\(191\) | 1.27928 | − | 4.49620i | 0.0925654 | − | 0.325334i | −0.901688 | − | 0.432388i | \(-0.857671\pi\) |
0.994253 | + | 0.107054i | \(0.0341418\pi\) | |||||||
\(192\) | 3.67200 | + | 7.35514i | 0.265004 | + | 0.530812i | ||||
\(193\) | −0.627226 | + | 3.35536i | −0.0451487 | + | 0.241524i | −0.998101 | − | 0.0615955i | \(-0.980381\pi\) |
0.952952 | + | 0.303120i | \(0.0980282\pi\) | |||||||
\(194\) | 1.74354 | − | 4.50059i | 0.125179 | − | 0.323124i | ||||
\(195\) | 15.4066 | + | 20.3574i | 1.10329 | + | 1.45783i | ||||
\(196\) | 1.92616 | + | 6.76974i | 0.137583 | + | 0.483553i | ||||
\(197\) | −8.70751 | + | 17.4870i | −0.620385 | + | 1.24590i | 0.332653 | + | 0.943049i | \(0.392056\pi\) |
−0.953038 | + | 0.302851i | \(0.902062\pi\) | |||||||
\(198\) | −2.52787 | + | 2.78458i | −0.179648 | + | 0.197892i | ||||
\(199\) | 2.65624 | − | 14.2097i | 0.188296 | − | 1.00730i | −0.749994 | − | 0.661445i | \(-0.769943\pi\) |
0.938290 | − | 0.345850i | \(-0.112410\pi\) | |||||||
\(200\) | −1.97765 | + | 0.183256i | −0.139841 | + | 0.0129582i | ||||
\(201\) | 19.5311 | − | 5.57910i | 1.37762 | − | 0.393519i | ||||
\(202\) | −4.02228 | + | 3.03748i | −0.283007 | + | 0.213717i | ||||
\(203\) | 8.74676 | + | 14.1265i | 0.613902 | + | 0.991486i | ||||
\(204\) | −5.94996 | + | 4.50296i | −0.416581 | + | 0.315270i | ||||
\(205\) | − | 14.0073i | − | 0.978314i | ||||||
\(206\) | −3.84496 | + | 0.241780i | −0.267891 | + | 0.0168456i | ||||
\(207\) | 4.42588 | − | 3.35679i | 0.307620 | − | 0.233313i | ||||
\(208\) | −8.22452 | + | 16.5171i | −0.570268 | + | 1.14525i | ||||
\(209\) | 1.54198 | − | 0.954756i | 0.106661 | − | 0.0660418i | ||||
\(210\) | 0.548583 | + | 2.91780i | 0.0378558 | + | 0.201348i | ||||
\(211\) | −15.0339 | − | 16.4914i | −1.03498 | − | 1.13532i | −0.990668 | − | 0.136298i | \(-0.956480\pi\) |
−0.0443092 | − | 0.999018i | \(-0.514109\pi\) | |||||||
\(212\) | 1.11558 | + | 12.0390i | 0.0766182 | + | 0.826842i | ||||
\(213\) | 6.11681 | − | 8.11756i | 0.419117 | − | 0.556206i | ||||
\(214\) | 1.73000 | − | 0.323392i | 0.118260 | − | 0.0221067i | ||||
\(215\) | 4.77859 | + | 2.37946i | 0.325897 | + | 0.162278i | ||||
\(216\) | −6.79768 | + | 3.41143i | −0.462523 | + | 0.232118i | ||||
\(217\) | −9.49407 | − | 4.72748i | −0.644499 | − | 0.320922i | ||||
\(218\) | 5.98653 | + | 2.31919i | 0.405459 | + | 0.157076i | ||||
\(219\) | −1.51541 | − | 1.14190i | −0.102402 | − | 0.0771626i | ||||
\(220\) | −9.31252 | + | 12.3318i | −0.627850 | + | 0.831408i | ||||
\(221\) | −13.0525 | − | 3.71377i | −0.878009 | − | 0.249815i | ||||
\(222\) | 1.71873 | + | 1.56355i | 0.115353 | + | 0.104938i | ||||
\(223\) | −0.969050 | + | 10.4577i | −0.0648924 | + | 0.700300i | 0.899692 | + | 0.436526i | \(0.143791\pi\) |
−0.964584 | + | 0.263775i | \(0.915032\pi\) | |||||||
\(224\) | −5.89626 | + | 4.45265i | −0.393961 | + | 0.297505i | ||||
\(225\) | 0.384054 | + | 4.05257i | 0.0256036 | + | 0.270171i | ||||
\(226\) | −0.137026 | + | 0.733023i | −0.00911482 | + | 0.0487600i | ||||
\(227\) | 11.2351 | − | 4.35251i | 0.745702 | − | 0.288886i | 0.0417442 | − | 0.999128i | \(-0.486709\pi\) |
0.703958 | + | 0.710242i | \(0.251414\pi\) | |||||||
\(228\) | 1.73495 | − | 0.326191i | 0.114900 | − | 0.0216026i | ||||
\(229\) | −5.50662 | − | 11.0588i | −0.363888 | − | 0.730785i | 0.635250 | − | 0.772307i | \(-0.280897\pi\) |
−0.999138 | + | 0.0415219i | \(0.986779\pi\) | |||||||
\(230\) | −1.30965 | + | 1.19390i | −0.0863555 | + | 0.0787235i | ||||
\(231\) | 8.71549 | + | 5.38384i | 0.573437 | + | 0.354231i | ||||
\(232\) | 8.18330 | − | 10.8364i | 0.537260 | − | 0.711447i | ||||
\(233\) | −2.01991 | − | 21.7983i | −0.132329 | − | 1.42805i | −0.760175 | − | 0.649718i | \(-0.774887\pi\) |
0.627847 | − | 0.778337i | \(-0.283937\pi\) | |||||||
\(234\) | −5.96586 | − | 2.95513i | −0.390000 | − | 0.193183i | ||||
\(235\) | −21.9555 | + | 20.0151i | −1.43222 | + | 1.30564i | ||||
\(236\) | 15.8101 | − | 17.3428i | 1.02915 | − | 1.12892i | ||||
\(237\) | −14.2882 | − | 12.9981i | −0.928118 | − | 0.844320i | ||||
\(238\) | −1.16626 | − | 1.06318i | −0.0755973 | − | 0.0689160i | ||||
\(239\) | 16.5849 | − | 1.53681i | 1.07279 | − | 0.0994083i | 0.458657 | − | 0.888614i | \(-0.348331\pi\) |
0.614129 | + | 0.789205i | \(0.289507\pi\) | |||||||
\(240\) | −11.7110 | + | 7.26804i | −0.755941 | + | 0.469150i | ||||
\(241\) | 3.54012 | + | 5.71749i | 0.228039 | + | 0.368296i | 0.944055 | − | 0.329788i | \(-0.106977\pi\) |
−0.716016 | + | 0.698084i | \(0.754036\pi\) | |||||||
\(242\) | 0.00654785 | + | 0.0350279i | 0.000420912 | + | 0.00225168i | ||||
\(243\) | 7.02105 | + | 13.9178i | 0.450401 | + | 0.892826i | ||||
\(244\) | 3.01832 | − | 1.86887i | 0.193228 | − | 0.119642i | ||||
\(245\) | −8.91620 | + | 3.45415i | −0.569635 | + | 0.220678i | ||||
\(246\) | 1.63159 | + | 3.26813i | 0.104026 | + | 0.208368i | ||||
\(247\) | 2.37265 | + | 2.16296i | 0.150968 | + | 0.137626i | ||||
\(248\) | −0.799783 | + | 8.63104i | −0.0507863 | + | 0.548071i | ||||
\(249\) | −21.8940 | − | 2.00574i | −1.38747 | − | 0.127109i | ||||
\(250\) | 0.640692 | + | 3.42740i | 0.0405209 | + | 0.216768i | ||||
\(251\) | −1.20407 | − | 4.23188i | −0.0760004 | − | 0.267114i | 0.914508 | − | 0.404569i | \(-0.132578\pi\) |
−0.990508 | + | 0.137455i | \(0.956108\pi\) | |||||||
\(252\) | 6.02578 | + | 7.94491i | 0.379589 | + | 0.500482i | ||||
\(253\) | 6.11487i | 0.384438i | ||||||||
\(254\) | 2.17623 | + | 7.64865i | 0.136549 | + | 0.479919i | ||||
\(255\) | −6.83711 | − | 7.48426i | −0.428156 | − | 0.468682i | ||||
\(256\) | −4.82628 | − | 2.98830i | −0.301642 | − | 0.186769i | ||||
\(257\) | −12.8410 | − | 25.7881i | −0.800997 | − | 1.60862i | −0.793440 | − | 0.608648i | \(-0.791712\pi\) |
−0.00755707 | − | 0.999971i | \(-0.502406\pi\) | |||||||
\(258\) | −1.39208 | + | 0.00145202i | −0.0866673 | + | 9.03988e-5i | ||||
\(259\) | 3.33183 | − | 5.38109i | 0.207030 | − | 0.334365i | ||||
\(260\) | −25.5084 | − | 9.88202i | −1.58197 | − | 0.612857i | ||||
\(261\) | −22.2451 | − | 16.7260i | −1.37694 | − | 1.03531i | ||||
\(262\) | 0.703390 | 0.0434556 | ||||||||
\(263\) | −0.418935 | −0.0258327 | −0.0129163 | − | 0.999917i | \(-0.504112\pi\) | ||||
−0.0129163 | + | 0.999917i | \(0.504112\pi\) | |||||||
\(264\) | 1.52985 | − | 8.23148i | 0.0941555 | − | 0.506612i | ||||
\(265\) | −16.1457 | + | 3.01815i | −0.991822 | + | 0.185404i | ||||
\(266\) | 0.134874 | + | 0.348150i | 0.00826966 | + | 0.0213464i | ||||
\(267\) | −5.42198 | − | 3.34933i | −0.331820 | − | 0.204976i | ||||
\(268\) | −14.6628 | + | 16.0843i | −0.895674 | + | 0.982507i | ||||
\(269\) | 13.8359 | + | 10.4484i | 0.843588 | + | 0.637048i | 0.933371 | − | 0.358913i | \(-0.116853\pi\) |
−0.0897828 | + | 0.995961i | \(0.528617\pi\) | |||||||
\(270\) | −2.63126 | − | 4.22007i | −0.160134 | − | 0.256826i | ||||
\(271\) | −1.65234 | − | 2.66863i | −0.100373 | − | 0.162107i | 0.796158 | − | 0.605088i | \(-0.206862\pi\) |
−0.896531 | + | 0.442981i | \(0.853921\pi\) | |||||||
\(272\) | 2.64660 | − | 6.83165i | 0.160473 | − | 0.414230i | ||||
\(273\) | −4.94467 | + | 17.4478i | −0.299265 | + | 1.05599i | ||||
\(274\) | −4.22964 | + | 2.61889i | −0.255522 | + | 0.158213i | ||||
\(275\) | −3.80992 | − | 2.35900i | −0.229747 | − | 0.142253i | ||||
\(276\) | −2.14434 | + | 5.55237i | −0.129074 | + | 0.334213i | ||||
\(277\) | 21.0294 | − | 23.0682i | 1.26354 | − | 1.38603i | 0.375133 | − | 0.926971i | \(-0.377597\pi\) |
0.888404 | − | 0.459063i | \(-0.151815\pi\) | |||||||
\(278\) | −0.682198 | − | 0.194102i | −0.0409155 | − | 0.0116415i | ||||
\(279\) | 17.6934 | + | 1.60232i | 1.05928 | + | 0.0959281i | ||||
\(280\) | −4.45275 | − | 4.88444i | −0.266103 | − | 0.291901i | ||||
\(281\) | 10.6690 | + | 21.4263i | 0.636462 | + | 1.27819i | 0.945030 | + | 0.326985i | \(0.106033\pi\) |
−0.308568 | + | 0.951202i | \(0.599850\pi\) | |||||||
\(282\) | 2.79118 | − | 7.22725i | 0.166213 | − | 0.430376i | ||||
\(283\) | −19.7236 | − | 14.8946i | −1.17244 | − | 0.885389i | −0.177334 | − | 0.984151i | \(-0.556747\pi\) |
−0.995111 | + | 0.0987615i | \(0.968512\pi\) | |||||||
\(284\) | −1.00489 | + | 10.8445i | −0.0596293 | + | 0.643502i | ||||
\(285\) | 0.658723 | + | 2.30603i | 0.0390194 | + | 0.136598i | ||||
\(286\) | 6.56050 | − | 3.26674i | 0.387931 | − | 0.193167i | ||||
\(287\) | 7.94019 | − | 5.99615i | 0.468694 | − | 0.353942i | ||||
\(288\) | 6.49345 | − | 10.5363i | 0.382630 | − | 0.620859i | ||||
\(289\) | −11.4139 | − | 2.13363i | −0.671407 | − | 0.125508i | ||||
\(290\) | 7.54921 | + | 4.67427i | 0.443305 | + | 0.274483i | ||||
\(291\) | 21.6432 | − | 4.06918i | 1.26875 | − | 0.238540i | ||||
\(292\) | 2.02448 | + | 0.187595i | 0.118474 | + | 0.0109782i | ||||
\(293\) | −4.84446 | + | 17.0265i | −0.283016 | + | 0.994700i | 0.681749 | + | 0.731587i | \(0.261220\pi\) |
−0.964765 | + | 0.263113i | \(0.915251\pi\) | |||||||
\(294\) | 1.67794 | − | 1.84448i | 0.0978597 | − | 0.107572i | ||||
\(295\) | 25.4420 | + | 19.2129i | 1.48129 | + | 1.11862i | ||||
\(296\) | −5.08454 | − | 0.950465i | −0.295533 | − | 0.0552447i | ||||
\(297\) | −16.8776 | − | 3.10034i | −0.979338 | − | 0.179900i | ||||
\(298\) | 1.26781 | − | 2.54611i | 0.0734423 | − | 0.147492i | ||||
\(299\) | −10.4116 | + | 2.96236i | −0.602119 | + | 0.171318i | ||||
\(300\) | −2.63220 | − | 3.47805i | −0.151970 | − | 0.200805i | ||||
\(301\) | 0.696766 | + | 3.72737i | 0.0401610 | + | 0.214842i | ||||
\(302\) | −1.12865 | − | 0.210982i | −0.0649468 | − | 0.0121407i | ||||
\(303\) | −21.4537 | − | 8.28547i | −1.23248 | − | 0.475988i | ||||
\(304\) | −1.28093 | + | 1.16772i | −0.0734663 | + | 0.0669734i | ||||
\(305\) | 2.90642 | + | 3.84872i | 0.166421 | + | 0.220377i | ||||
\(306\) | 2.46698 | + | 0.949799i | 0.141028 | + | 0.0542964i | ||||
\(307\) | 4.08166 | + | 2.03243i | 0.232953 | + | 0.115997i | 0.558425 | − | 0.829555i | \(-0.311406\pi\) |
−0.325473 | + | 0.945551i | \(0.605523\pi\) | |||||||
\(308\) | −10.9768 | −0.625462 | ||||||||
\(309\) | −10.1885 | − | 14.3246i | −0.579603 | − | 0.814899i | ||||
\(310\) | −5.66783 | −0.321911 | ||||||||
\(311\) | 3.77697 | + | 1.88071i | 0.214172 | + | 0.106645i | 0.549624 | − | 0.835412i | \(-0.314771\pi\) |
−0.335451 | + | 0.942058i | \(0.608889\pi\) | |||||||
\(312\) | 14.7566 | − | 1.38293i | 0.835430 | − | 0.0782930i | ||||
\(313\) | 7.42933 | + | 9.83802i | 0.419931 | + | 0.556078i | 0.957980 | − | 0.286835i | \(-0.0926033\pi\) |
−0.538049 | + | 0.842913i | \(0.680839\pi\) | |||||||
\(314\) | 0.0290987 | − | 0.0265269i | 0.00164213 | − | 0.00149700i | ||||
\(315\) | −9.99200 | + | 9.14715i | −0.562985 | + | 0.515384i | ||||
\(316\) | 20.3447 | + | 3.80308i | 1.14448 | + | 0.213940i | ||||
\(317\) | −4.86714 | − | 26.0369i | −0.273366 | − | 1.46238i | −0.793645 | − | 0.608381i | \(-0.791819\pi\) |
0.520279 | − | 0.853996i | \(-0.325828\pi\) | |||||||
\(318\) | 3.41548 | − | 2.58485i | 0.191531 | − | 0.144951i | ||||
\(319\) | 29.4680 | − | 8.38436i | 1.64989 | − | 0.469434i | ||||
\(320\) | 5.33405 | − | 10.7122i | 0.298182 | − | 0.598831i | ||||
\(321\) | 5.41620 | + | 5.92885i | 0.302303 | + | 0.330916i | ||||
\(322\) | −1.23740 | − | 0.231310i | −0.0689575 | − | 0.0128904i | ||||
\(323\) | −1.01732 | − | 0.768241i | −0.0566049 | − | 0.0427461i | ||||
\(324\) | −14.2378 | − | 8.73373i | −0.790991 | − | 0.485207i | ||||
\(325\) | 2.17088 | − | 7.62986i | 0.120419 | − | 0.423229i | ||||
\(326\) | 0.838533 | + | 0.0777015i | 0.0464420 | + | 0.00430349i | ||||
\(327\) | 5.41268 | + | 28.7890i | 0.299322 | + | 1.59204i | ||||
\(328\) | −6.91382 | − | 4.28085i | −0.381752 | − | 0.236371i | ||||
\(329\) | −20.7443 | − | 3.87779i | −1.14367 | − | 0.213789i | ||||
\(330\) | 5.45172 | + | 0.499442i | 0.300108 | + | 0.0274934i | ||||
\(331\) | −9.93949 | + | 7.50595i | −0.546324 | + | 0.412565i | −0.839392 | − | 0.543527i | \(-0.817089\pi\) |
0.293068 | + | 0.956092i | \(0.405324\pi\) | |||||||
\(332\) | 21.0880 | − | 10.5006i | 1.15736 | − | 0.576294i | ||||
\(333\) | −1.92631 | + | 10.4252i | −0.105561 | + | 0.571299i | ||||
\(334\) | 0.194115 | − | 2.09483i | 0.0106215 | − | 0.114624i | ||||
\(335\) | −23.5957 | − | 17.8187i | −1.28917 | − | 0.973539i | ||||
\(336\) | −9.13311 | − | 3.52723i | −0.498252 | − | 0.192426i | ||||
\(337\) | −5.69341 | − | 11.4339i | −0.310140 | − | 0.622844i | 0.684176 | − | 0.729317i | \(-0.260162\pi\) |
−0.994316 | + | 0.106473i | \(0.966044\pi\) | |||||||
\(338\) | 5.41586 | + | 5.94091i | 0.294584 | + | 0.323143i | ||||
\(339\) | −3.17152 | + | 1.23246i | −0.172253 | + | 0.0669380i | ||||
\(340\) | 10.4473 | + | 2.97251i | 0.566583 | + | 0.161207i | ||||
\(341\) | −13.1754 | + | 14.4527i | −0.713486 | + | 0.782657i | ||||
\(342\) | −0.422300 | − | 0.461304i | −0.0228354 | − | 0.0249445i | ||||
\(343\) | −16.4337 | − | 10.1753i | −0.887338 | − | 0.549417i | ||||
\(344\) | 2.63488 | − | 1.63145i | 0.142063 | − | 0.0879618i | ||||
\(345\) | −7.77965 | − | 2.20473i | −0.418843 | − | 0.118699i | ||||
\(346\) | 2.17491 | − | 5.61409i | 0.116924 | − | 0.301815i | ||||
\(347\) | 5.82528 | + | 9.40815i | 0.312717 | + | 0.505056i | 0.968208 | − | 0.250148i | \(-0.0804792\pi\) |
−0.655490 | + | 0.755204i | \(0.727538\pi\) | |||||||
\(348\) | 29.6975 | + | 2.72064i | 1.59195 | + | 0.145841i | ||||
\(349\) | 7.35152 | + | 5.55161i | 0.393518 | + | 0.297171i | 0.780789 | − | 0.624795i | \(-0.214817\pi\) |
−0.387271 | + | 0.921966i | \(0.626582\pi\) | |||||||
\(350\) | 0.621484 | − | 0.681736i | 0.0332197 | − | 0.0364403i | ||||
\(351\) | −2.89752 | − | 30.2390i | −0.154658 | − | 1.61404i | ||||
\(352\) | 4.92166 | + | 12.7043i | 0.262325 | + | 0.677140i | ||||
\(353\) | −0.0694071 | + | 0.0129744i | −0.00369417 | + | 0.000690560i | −0.185596 | − | 0.982626i | \(-0.559422\pi\) |
0.181902 | + | 0.983317i | \(0.441775\pi\) | |||||||
\(354\) | −8.17395 | − | 1.51915i | −0.434440 | − | 0.0807421i | ||||
\(355\) | −14.7956 | −0.785271 | ||||||||
\(356\) | 6.82876 | 0.361924 | ||||||||
\(357\) | 1.31574 | − | 7.07949i | 0.0696366 | − | 0.374686i | ||||
\(358\) | −0.221286 | − | 0.0857267i | −0.0116953 | − | 0.00453080i | ||||
\(359\) | −13.5916 | + | 21.9511i | −0.717335 | + | 1.15854i | 0.263681 | + | 0.964610i | \(0.415063\pi\) |
−0.981016 | + | 0.193926i | \(0.937878\pi\) | |||||||
\(360\) | 9.92093 | + | 4.91423i | 0.522879 | + | 0.259003i | ||||
\(361\) | −8.33459 | − | 16.7381i | −0.438663 | − | 0.880954i | ||||
\(362\) | 1.88172 | + | 1.16511i | 0.0989012 | + | 0.0612371i | ||||
\(363\) | −0.120044 | + | 0.109664i | −0.00630066 | + | 0.00575586i | ||||
\(364\) | −5.31774 | − | 18.6899i | −0.278725 | − | 0.979617i | ||||
\(365\) | 2.76209i | 0.144574i | ||||||||
\(366\) | −1.12642 | − | 0.559423i | −0.0588787 | − | 0.0292415i | ||||
\(367\) | −3.98506 | − | 14.0060i | −0.208018 | − | 0.731109i | −0.993660 | − | 0.112427i | \(-0.964138\pi\) |
0.785642 | − | 0.618682i | \(-0.212333\pi\) | |||||||
\(368\) | −1.07384 | − | 5.74453i | −0.0559777 | − | 0.299454i | ||||
\(369\) | −8.74439 | + | 14.1887i | −0.455215 | + | 0.738635i | ||||
\(370\) | 0.312076 | − | 3.36783i | 0.0162240 | − | 0.175085i | ||||
\(371\) | −8.62240 | − | 7.86035i | −0.447652 | − | 0.408089i | ||||
\(372\) | −17.0316 | + | 8.50292i | −0.883048 | + | 0.440856i | ||||
\(373\) | −11.4880 | + | 4.45048i | −0.594827 | + | 0.230437i | −0.639788 | − | 0.768552i | \(-0.720978\pi\) |
0.0449609 | + | 0.998989i | \(0.485684\pi\) | |||||||
\(374\) | −2.47414 | + | 1.53192i | −0.127935 | + | 0.0792138i | ||||
\(375\) | −11.7460 | + | 10.7303i | −0.606561 | + | 0.554113i | ||||
\(376\) | 3.16923 | + | 16.9539i | 0.163440 | + | 0.874329i | ||||
\(377\) | 28.5516 | + | 46.1125i | 1.47048 | + | 2.37491i | ||||
\(378\) | 1.26582 | − | 3.29805i | 0.0651067 | − | 0.169634i | ||||
\(379\) | −13.3227 | + | 1.23453i | −0.684343 | + | 0.0634137i | −0.428821 | − | 0.903389i | \(-0.641071\pi\) |
−0.255522 | + | 0.966803i | \(0.582247\pi\) | |||||||
\(380\) | −1.89907 | − | 1.73124i | −0.0974205 | − | 0.0888105i | ||||
\(381\) | −24.4166 | + | 26.8399i | −1.25090 | + | 1.37505i | ||||
\(382\) | 1.19548 | − | 1.31138i | 0.0611662 | − | 0.0670961i | ||||
\(383\) | 14.8940 | − | 13.5777i | 0.761048 | − | 0.693787i | −0.196997 | − | 0.980404i | \(-0.563119\pi\) |
0.958045 | + | 0.286617i | \(0.0925308\pi\) | |||||||
\(384\) | 0.0181615 | + | 17.4118i | 0.000926802 | + | 0.888545i | ||||
\(385\) | −1.37593 | − | 14.8487i | −0.0701240 | − | 0.756759i | ||||
\(386\) | −0.780875 | + | 1.03405i | −0.0397455 | + | 0.0526315i | ||||
\(387\) | −3.35505 | − | 5.39341i | −0.170547 | − | 0.274163i | ||||
\(388\) | −17.4385 | + | 15.8973i | −0.885304 | + | 0.807061i | ||||
\(389\) | −10.3559 | − | 20.7975i | −0.525067 | − | 1.05448i | −0.985954 | − | 0.167017i | \(-0.946586\pi\) |
0.460887 | − | 0.887459i | \(-0.347531\pi\) | |||||||
\(390\) | 1.79071 | + | 9.52445i | 0.0906762 | + | 0.482289i | ||||
\(391\) | 4.00790 | − | 1.55267i | 0.202688 | − | 0.0785218i | ||||
\(392\) | −1.02001 | + | 5.45655i | −0.0515181 | + | 0.275597i | ||||
\(393\) | 1.69239 | + | 2.72694i | 0.0853697 | + | 0.137556i | ||||
\(394\) | −5.91774 | + | 4.46887i | −0.298132 | + | 0.225139i | ||||
\(395\) | −2.59436 | + | 27.9976i | −0.130536 | + | 1.40871i | ||||
\(396\) | 17.1315 | − | 6.67791i | 0.860890 | − | 0.335578i | ||||
\(397\) | 22.8434 | + | 6.49950i | 1.14648 | + | 0.326200i | 0.792987 | − | 0.609239i | \(-0.208525\pi\) |
0.353488 | + | 0.935439i | \(0.384995\pi\) | |||||||
\(398\) | 3.30694 | − | 4.37909i | 0.165762 | − | 0.219504i | ||||
\(399\) | −1.02521 | + | 1.36055i | −0.0513249 | + | 0.0681128i | ||||
\(400\) | 3.99344 | + | 1.54707i | 0.199672 | + | 0.0773533i | ||||
\(401\) | 14.7810 | + | 7.36005i | 0.738126 | + | 0.367543i | 0.775155 | − | 0.631771i | \(-0.217672\pi\) |
−0.0370288 | + | 0.999314i | \(0.511789\pi\) | |||||||
\(402\) | 7.58080 | + | 1.40892i | 0.378096 | + | 0.0702703i | ||||
\(403\) | −30.9910 | − | 15.4317i | −1.54377 | − | 0.768708i | ||||
\(404\) | 24.2229 | − | 4.52805i | 1.20514 | − | 0.225279i | ||||
\(405\) | 10.0297 | − | 20.3547i | 0.498379 | − | 1.01143i | ||||
\(406\) | 0.581953 | + | 6.28027i | 0.0288818 | + | 0.311684i | ||||
\(407\) | −7.86237 | − | 8.62461i | −0.389723 | − | 0.427506i | ||||
\(408\) | −5.78365 | + | 1.08740i | −0.286333 | + | 0.0538341i | ||||
\(409\) | 0.0416757 | − | 0.0258045i | 0.00206073 | − | 0.00127595i | −0.525401 | − | 0.850854i | \(-0.676085\pi\) |
0.527462 | + | 0.849579i | \(0.323144\pi\) | |||||||
\(410\) | 2.37009 | − | 4.75979i | 0.117050 | − | 0.235069i | ||||
\(411\) | −20.3298 | − | 10.0966i | −1.00279 | − | 0.498027i | ||||
\(412\) | 17.3544 | + | 7.32093i | 0.854988 | + | 0.360677i | ||||
\(413\) | 22.6465i | 1.11436i | ||||||||
\(414\) | 2.07193 | − | 0.391785i | 0.101830 | − | 0.0192552i | ||||
\(415\) | 16.8478 | + | 27.2102i | 0.827027 | + | 1.33570i | ||||
\(416\) | −19.2469 | + | 14.5346i | −0.943656 | + | 0.712616i | ||||
\(417\) | −0.888894 | − | 3.11181i | −0.0435294 | − | 0.152386i | ||||
\(418\) | 0.685524 | − | 0.0635232i | 0.0335301 | − | 0.00310702i | ||||
\(419\) | 4.29276 | − | 22.9642i | 0.209715 | − | 1.12188i | −0.702350 | − | 0.711832i | \(-0.747866\pi\) |
0.912065 | − | 0.410045i | \(-0.134487\pi\) | |||||||
\(420\) | 3.95772 | − | 13.9653i | 0.193117 | − | 0.681436i | ||||
\(421\) | 16.0888 | − | 32.3107i | 0.784122 | − | 1.57473i | −0.0338194 | − | 0.999428i | \(-0.510767\pi\) |
0.817941 | − | 0.575301i | \(-0.195115\pi\) | |||||||
\(422\) | −2.31822 | − | 8.14769i | −0.112849 | − | 0.396623i | ||||
\(423\) | 34.7347 | − | 6.56807i | 1.68886 | − | 0.319350i | ||||
\(424\) | −3.44465 | + | 8.89168i | −0.167287 | + | 0.431818i | ||||
\(425\) | −0.578769 | + | 3.09614i | −0.0280744 | + | 0.150185i | ||||
\(426\) | 3.45205 | − | 1.72341i | 0.167253 | − | 0.0834997i | ||||
\(427\) | −0.937525 | + | 3.29506i | −0.0453700 | + | 0.159459i | ||||
\(428\) | −8.27609 | − | 2.35475i | −0.400040 | − | 0.113821i | ||||
\(429\) | 28.4496 | + | 17.5742i | 1.37356 | + | 0.848491i | ||||
\(430\) | 1.22119 | + | 1.61711i | 0.0588908 | + | 0.0779840i | ||||
\(431\) | 6.29691 | − | 10.1699i | 0.303311 | − | 0.489865i | −0.662517 | − | 0.749047i | \(-0.730512\pi\) |
0.965828 | + | 0.259182i | \(0.0834530\pi\) | |||||||
\(432\) | 16.3999 | − | 0.0513181i | 0.789039 | − | 0.00246904i | ||||
\(433\) | 10.4427 | + | 26.9558i | 0.501845 | + | 1.29541i | 0.921729 | + | 0.387834i | \(0.126777\pi\) |
−0.419884 | + | 0.907578i | \(0.637929\pi\) | |||||||
\(434\) | −2.42624 | − | 3.21286i | −0.116463 | − | 0.154222i | ||||
\(435\) | 0.0422581 | + | 40.5137i | 0.00202612 | + | 1.94248i | ||||
\(436\) | −21.1460 | − | 23.1960i | −1.01271 | − | 1.11089i | ||||
\(437\) | −1.01253 | − | 0.0938251i | −0.0484361 | − | 0.00448826i | ||||
\(438\) | −0.321731 | − | 0.644438i | −0.0153729 | − | 0.0307925i | ||||
\(439\) | 28.2901 | − | 2.62147i | 1.35021 | − | 0.125116i | 0.607284 | − | 0.794485i | \(-0.292259\pi\) |
0.742930 | + | 0.669369i | \(0.233435\pi\) | |||||||
\(440\) | −10.9098 | + | 5.43243i | −0.520104 | + | 0.258981i | ||||
\(441\) | 11.1880 | + | 2.06725i | 0.532762 | + | 0.0984406i | ||||
\(442\) | −3.80696 | − | 3.47050i | −0.181079 | − | 0.165075i | ||||
\(443\) | −4.07617 | + | 14.3262i | −0.193665 | + | 0.680660i | 0.802770 | + | 0.596289i | \(0.203359\pi\) |
−0.996434 | + | 0.0843712i | \(0.973112\pi\) | |||||||
\(444\) | −4.11467 | − | 10.5884i | −0.195274 | − | 0.502503i | ||||
\(445\) | 0.855979 | + | 9.23748i | 0.0405773 | + | 0.437899i | ||||
\(446\) | −2.09877 | + | 3.38964i | −0.0993798 | + | 0.160504i | ||||
\(447\) | 12.9213 | − | 1.21093i | 0.611157 | − | 0.0572751i | ||||
\(448\) | 8.35568 | − | 1.56195i | 0.394769 | − | 0.0737951i | ||||
\(449\) | 11.5066 | + | 4.45769i | 0.543031 | + | 0.210371i | 0.617104 | − | 0.786881i | \(-0.288306\pi\) |
−0.0740731 | + | 0.997253i | \(0.523600\pi\) | |||||||
\(450\) | −0.555205 | + | 1.44207i | −0.0261726 | + | 0.0679800i | ||||
\(451\) | −6.62774 | − | 17.1082i | −0.312088 | − | 0.805592i | ||||
\(452\) | 2.19713 | − | 2.90947i | 0.103344 | − | 0.136850i | ||||
\(453\) | −1.89765 | − | 4.88327i | −0.0891593 | − | 0.229436i | ||||
\(454\) | 4.55424 | + | 0.422012i | 0.213741 | + | 0.0198060i | ||||
\(455\) | 24.6158 | − | 9.53623i | 1.15401 | − | 0.447065i | ||||
\(456\) | 1.33954 | + | 0.379622i | 0.0627297 | + | 0.0177774i | ||||
\(457\) | 37.5425 | − | 10.6818i | 1.75616 | − | 0.499672i | 0.766397 | − | 0.642368i | \(-0.222048\pi\) |
0.989767 | + | 0.142696i | \(0.0455771\pi\) | |||||||
\(458\) | − | 4.68959i | − | 0.219130i | ||||||
\(459\) | 2.25343 | + | 11.8494i | 0.105181 | + | 0.553082i | ||||
\(460\) | 8.33347 | − | 2.37108i | 0.388550 | − | 0.110552i | ||||
\(461\) | 9.19465 | − | 23.7341i | 0.428237 | − | 1.10541i | −0.536896 | − | 0.843649i | \(-0.680403\pi\) |
0.965133 | − | 0.261760i | \(-0.0843028\pi\) | |||||||
\(462\) | 2.05062 | + | 3.30416i | 0.0954034 | + | 0.153723i | ||||
\(463\) | −19.8190 | + | 9.86871i | −0.921069 | + | 0.458638i | −0.842759 | − | 0.538291i | \(-0.819070\pi\) |
−0.0783101 | + | 0.996929i | \(0.524952\pi\) | |||||||
\(464\) | −26.2109 | + | 13.0515i | −1.21681 | + | 0.605900i | ||||
\(465\) | −13.6371 | − | 21.9734i | −0.632403 | − | 1.01899i | ||||
\(466\) | 3.00198 | − | 7.74899i | 0.139064 | − | 0.358965i | ||||
\(467\) | 37.0429 | − | 10.5396i | 1.71414 | − | 0.487715i | 0.732873 | − | 0.680366i | \(-0.238179\pi\) |
0.981267 | + | 0.192651i | \(0.0617084\pi\) | |||||||
\(468\) | 19.6697 | + | 25.9342i | 0.909231 | + | 1.19881i | ||||
\(469\) | − | 21.0032i | − | 0.969836i | ||||||
\(470\) | −10.8473 | + | 3.08632i | −0.500347 | + | 0.142361i | ||||
\(471\) | 0.172854 | + | 0.0489863i | 0.00796469 | + | 0.00225717i | ||||
\(472\) | 17.2587 | − | 6.68604i | 0.794394 | − | 0.307750i | ||||
\(473\) | 6.96231 | + | 0.645153i | 0.320128 | + | 0.0296642i | ||||
\(474\) | −2.65589 | − | 6.83447i | −0.121989 | − | 0.313918i | ||||
\(475\) | 0.449075 | − | 0.594672i | 0.0206050 | − | 0.0272854i | ||||
\(476\) | 2.78720 | + | 7.19459i | 0.127751 | + | 0.329763i | ||||
\(477\) | 18.2389 | + | 7.02207i | 0.835103 | + | 0.321519i | ||||
\(478\) | 5.89569 | + | 2.28400i | 0.269662 | + | 0.104468i | ||||
\(479\) | 23.0041 | − | 4.30021i | 1.05108 | − | 0.196482i | 0.370259 | − | 0.928928i | \(-0.379269\pi\) |
0.680824 | + | 0.732447i | \(0.261622\pi\) | |||||||
\(480\) | −17.9376 | + | 1.68103i | −0.818734 | + | 0.0767282i | ||||
\(481\) | 10.8759 | − | 17.5652i | 0.495900 | − | 0.800906i | ||||
\(482\) | 0.235537 | + | 2.54184i | 0.0107284 | + | 0.115778i | ||||
\(483\) | −2.08048 | − | 5.35376i | −0.0946652 | − | 0.243604i | ||||
\(484\) | 0.0476775 | − | 0.167569i | 0.00216716 | − | 0.00761678i | ||||
\(485\) | −23.6906 | − | 21.5969i | −1.07574 | − | 0.980663i | ||||
\(486\) | 0.0308609 | + | 5.91735i | 0.00139988 | + | 0.268416i | ||||
\(487\) | −22.0210 | + | 10.9651i | −0.997865 | + | 0.496878i | −0.869015 | − | 0.494786i | \(-0.835246\pi\) |
−0.128850 | + | 0.991664i | \(0.541129\pi\) | |||||||
\(488\) | 2.78792 | − | 0.258339i | 0.126203 | − | 0.0116944i | ||||
\(489\) | 1.71631 | + | 3.43783i | 0.0776143 | + | 0.155464i | ||||
\(490\) | −3.61424 | − | 0.334909i | −0.163275 | − | 0.0151296i | ||||
\(491\) | −6.23199 | − | 6.83617i | −0.281246 | − | 0.308512i | 0.582108 | − | 0.813112i | \(-0.302228\pi\) |
−0.863353 | + | 0.504600i | \(0.831640\pi\) | |||||||
\(492\) | −0.0186275 | − | 17.8586i | −0.000839794 | − | 0.805128i | ||||
\(493\) | −12.9778 | − | 17.1854i | −0.584492 | − | 0.773992i | ||||
\(494\) | 0.440263 | + | 1.13645i | 0.0198084 | + | 0.0511313i | ||||
\(495\) | 11.1808 | + | 22.3372i | 0.502541 | + | 1.00398i | ||||
\(496\) | 9.83937 | − | 15.8911i | 0.441801 | − | 0.713532i | ||||
\(497\) | −6.33361 | − | 8.38705i | −0.284101 | − | 0.376211i | ||||
\(498\) | −7.10034 | − | 4.38610i | −0.318174 | − | 0.196546i | ||||
\(499\) | 24.3263 | + | 6.92142i | 1.08899 | + | 0.309845i | 0.770085 | − | 0.637941i | \(-0.220214\pi\) |
0.318907 | + | 0.947786i | \(0.396684\pi\) | |||||||
\(500\) | 4.66513 | − | 16.3962i | 0.208631 | − | 0.733262i | ||||
\(501\) | 8.58842 | − | 4.28771i | 0.383702 | − | 0.191561i | ||||
\(502\) | 0.306897 | − | 1.64175i | 0.0136975 | − | 0.0732751i | ||||
\(503\) | −11.7370 | + | 30.2968i | −0.523329 | + | 1.35087i | 0.381215 | + | 0.924486i | \(0.375506\pi\) |
−0.904544 | + | 0.426381i | \(0.859788\pi\) | |||||||
\(504\) | 1.46119 | + | 7.72742i | 0.0650868 | + | 0.344207i | ||||
\(505\) | 9.16155 | + | 32.1995i | 0.407684 | + | 1.43286i | ||||
\(506\) | −1.03466 | + | 2.07787i | −0.0459962 | + | 0.0923727i | ||||
\(507\) | −10.0013 | + | 35.2906i | −0.444172 | + | 1.56731i | ||||
\(508\) | 7.14397 | − | 38.2169i | 0.316963 | − | 1.69560i | ||||
\(509\) | −37.6979 | + | 3.49322i | −1.67093 | + | 0.154834i | −0.885665 | − | 0.464325i | \(-0.846297\pi\) |
−0.785265 | + | 0.619160i | \(0.787473\pi\) | |||||||
\(510\) | −1.05693 | − | 3.70007i | −0.0468018 | − | 0.163842i | ||||
\(511\) | −1.56572 | + | 1.18237i | −0.0692632 | + | 0.0523051i | ||||
\(512\) | −11.7185 | − | 18.9261i | −0.517891 | − | 0.836423i | ||||
\(513\) | 0.772338 | − | 2.74712i | 0.0340996 | − | 0.121288i | ||||
\(514\) | − | 10.9357i | − | 0.482354i | ||||||
\(515\) | −7.72790 | + | 24.3935i | −0.340532 | + | 1.07490i | ||||
\(516\) | 6.09562 | + | 3.02733i | 0.268345 | + | 0.133271i | ||||
\(517\) | −17.3455 | + | 34.8345i | −0.762854 | + | 1.53202i | ||||
\(518\) | 2.04268 | − | 1.26477i | 0.0897502 | − | 0.0555709i | ||||
\(519\) | 26.9980 | − | 5.07594i | 1.18508 | − | 0.222809i | ||||
\(520\) | −14.5349 | − | 15.9440i | −0.637398 | − | 0.699192i | ||||
\(521\) | −2.17199 | − | 23.4395i | −0.0951565 | − | 1.02690i | −0.900722 | − | 0.434396i | \(-0.856962\pi\) |
0.805566 | − | 0.592507i | \(-0.201862\pi\) | |||||||
\(522\) | −4.72895 | − | 9.44756i | −0.206980 | − | 0.413509i | ||||
\(523\) | 6.52506 | − | 1.21975i | 0.285321 | − | 0.0533358i | −0.0391435 | − | 0.999234i | \(-0.512463\pi\) |
0.324465 | + | 0.945898i | \(0.394816\pi\) | |||||||
\(524\) | −3.07839 | − | 1.53286i | −0.134480 | − | 0.0669631i | ||||
\(525\) | 4.13831 | + | 0.769118i | 0.180611 | + | 0.0335671i | ||||
\(526\) | −0.142357 | − | 0.0708854i | −0.00620706 | − | 0.00309075i | ||||
\(527\) | 12.8182 | + | 4.96582i | 0.558372 | + | 0.216314i | ||||
\(528\) | −10.8645 | + | 14.4182i | −0.472817 | + | 0.627471i | ||||
\(529\) | −11.7945 | + | 15.6184i | −0.512803 | + | 0.679061i | ||||
\(530\) | −5.99710 | − | 1.70632i | −0.260497 | − | 0.0741179i | ||||
\(531\) | −13.7774 | − | 35.3444i | −0.597886 | − | 1.53382i | ||||
\(532\) | 0.168426 | − | 1.81760i | 0.00730218 | − | 0.0788031i | ||||
\(533\) | 25.9188 | − | 19.5729i | 1.12267 | − | 0.847799i | ||||
\(534\) | −1.27571 | − | 2.05554i | −0.0552052 | − | 0.0889521i | ||||
\(535\) | 2.14794 | − | 11.4905i | 0.0928637 | − | 0.496777i | ||||
\(536\) | −16.0063 | + | 6.20086i | −0.691366 | + | 0.267836i | ||||
\(537\) | −0.200075 | − | 1.06416i | −0.00863385 | − | 0.0459218i | ||||
\(538\) | 2.93362 | + | 5.89151i | 0.126477 | + | 0.254001i | ||||
\(539\) | −9.25563 | + | 8.43762i | −0.398668 | + | 0.363434i | ||||
\(540\) | 2.31918 | + | 24.2033i | 0.0998015 | + | 1.04155i | ||||
\(541\) | 21.2979 | − | 28.2029i | 0.915667 | − | 1.21254i | −0.0610781 | − | 0.998133i | \(-0.519454\pi\) |
0.976745 | − | 0.214406i | \(-0.0687814\pi\) | |||||||
\(542\) | −0.109936 | − | 1.18640i | −0.00472216 | − | 0.0509602i | ||||
\(543\) | 0.0105333 | + | 10.0985i | 0.000452027 | + | 0.433368i | ||||
\(544\) | 7.07713 | − | 6.45165i | 0.303429 | − | 0.276612i | ||||
\(545\) | 28.7274 | − | 31.5124i | 1.23055 | − | 1.34984i | ||||
\(546\) | −4.63247 | + | 5.09224i | −0.198251 | + | 0.217928i | ||||
\(547\) | −23.5936 | − | 21.5084i | −1.00879 | − | 0.919635i | −0.0120201 | − | 0.999928i | \(-0.503826\pi\) |
−0.996771 | + | 0.0802929i | \(0.974414\pi\) | |||||||
\(548\) | 24.2182 | − | 2.24415i | 1.03455 | − | 0.0958654i | ||||
\(549\) | −0.541406 | − | 5.71295i | −0.0231066 | − | 0.243823i | ||||
\(550\) | −0.895484 | − | 1.44626i | −0.0381836 | − | 0.0616686i | ||||
\(551\) | 0.936180 | + | 5.00812i | 0.0398826 | + | 0.213353i | ||||
\(552\) | −3.46581 | + | 3.16613i | −0.147515 | + | 0.134759i | ||||
\(553\) | −16.9813 | + | 10.5144i | −0.722118 | + | 0.447116i | ||||
\(554\) | 11.0492 | − | 4.28047i | 0.469434 | − | 0.181860i | ||||
\(555\) | 13.8075 | − | 6.89329i | 0.586095 | − | 0.292604i | ||||
\(556\) | 2.56265 | + | 2.33616i | 0.108681 | + | 0.0990754i | ||||
\(557\) | 2.93994 | − | 31.7270i | 0.124569 | − | 1.34432i | −0.672351 | − | 0.740233i | \(-0.734715\pi\) |
0.796920 | − | 0.604085i | \(-0.206461\pi\) | |||||||
\(558\) | 5.74122 | + | 3.53827i | 0.243045 | + | 0.149787i | ||||
\(559\) | 2.27442 | + | 12.1671i | 0.0961978 | + | 0.514613i | ||||
\(560\) | 3.90019 | + | 13.7078i | 0.164813 | + | 0.579258i | ||||
\(561\) | −11.8919 | − | 5.90601i | −0.502078 | − | 0.249352i | ||||
\(562\) | 9.08605i | 0.383272i | ||||||||
\(563\) | 0.463120 | + | 1.62770i | 0.0195182 | + | 0.0685992i | 0.970973 | − | 0.239189i | \(-0.0768817\pi\) |
−0.951455 | + | 0.307789i | \(0.900411\pi\) | |||||||
\(564\) | −27.9655 | + | 25.5474i | −1.17756 | + | 1.07574i | ||||
\(565\) | 4.21113 | + | 2.60742i | 0.177164 | + | 0.109695i | ||||
\(566\) | −4.18199 | − | 8.39857i | −0.175782 | − | 0.353018i | ||||
\(567\) | 15.8317 | − | 3.02787i | 0.664869 | − | 0.127159i | ||||
\(568\) | −4.52178 | + | 7.30292i | −0.189729 | + | 0.306424i | ||||
\(569\) | 42.1131 | + | 16.3147i | 1.76547 | + | 0.683949i | 0.999138 | + | 0.0415096i | \(0.0132167\pi\) |
0.766337 | + | 0.642439i | \(0.222077\pi\) | |||||||
\(570\) | −0.166350 | + | 0.895064i | −0.00696765 | + | 0.0374901i | ||||
\(571\) | −30.9467 | −1.29508 | −0.647539 | − | 0.762032i | \(-0.724202\pi\) | ||||
−0.647539 | + | 0.762032i | \(0.724202\pi\) | |||||||
\(572\) | −35.8311 | −1.49817 | ||||||||
\(573\) | 7.96042 | + | 1.47947i | 0.332551 | + | 0.0618057i | ||||
\(574\) | 3.71270 | − | 0.694024i | 0.154965 | − | 0.0289680i | ||||
\(575\) | 0.907612 | + | 2.34282i | 0.0378500 | + | 0.0977022i | ||||
\(576\) | −12.0905 | + | 7.52103i | −0.503769 | + | 0.313376i | ||||
\(577\) | −6.10802 | + | 6.70018i | −0.254280 | + | 0.278932i | −0.852870 | − | 0.522124i | \(-0.825140\pi\) |
0.598589 | + | 0.801056i | \(0.295728\pi\) | |||||||
\(578\) | −3.51751 | − | 2.65630i | −0.146309 | − | 0.110487i | ||||
\(579\) | −5.88767 | − | 0.539380i | −0.244683 | − | 0.0224159i | ||||
\(580\) | −22.8528 | − | 36.9085i | −0.948910 | − | 1.53254i | ||||
\(581\) | −8.21226 | + | 21.1983i | −0.340702 | + | 0.879453i | ||||
\(582\) | 8.04302 | + | 2.27937i | 0.333394 | + | 0.0944830i | ||||
\(583\) | −18.2918 | + | 11.3258i | −0.757570 | + | 0.469068i | ||||
\(584\) | 1.36333 | + | 0.844136i | 0.0564149 | + | 0.0349306i | ||||
\(585\) | −32.6164 | + | 29.8586i | −1.34852 | + | 1.23450i | ||||
\(586\) | −4.52713 | + | 4.96603i | −0.187014 | + | 0.205145i | ||||
\(587\) | 21.3058 | + | 6.06203i | 0.879385 | + | 0.250207i | 0.683086 | − | 0.730338i | \(-0.260637\pi\) |
0.196298 | + | 0.980544i | \(0.437108\pi\) | |||||||
\(588\) | −11.3631 | + | 4.41572i | −0.468606 | + | 0.182101i | ||||
\(589\) | −2.19100 | − | 2.40341i | −0.0902785 | − | 0.0990308i | ||||
\(590\) | 5.39446 | + | 10.8335i | 0.222086 | + | 0.446010i | ||||
\(591\) | −31.5636 | − | 12.1899i | −1.29835 | − | 0.501427i | ||||
\(592\) | 8.90077 | + | 6.72155i | 0.365819 | + | 0.276254i | ||||
\(593\) | 0.486170 | − | 5.24661i | 0.0199646 | − | 0.215452i | −0.979907 | − | 0.199453i | \(-0.936084\pi\) |
0.999872 | − | 0.0159993i | \(-0.00509296\pi\) | |||||||
\(594\) | −5.21053 | − | 3.90927i | −0.213791 | − | 0.160399i | ||||
\(595\) | −9.38297 | + | 4.67216i | −0.384664 | + | 0.191540i | ||||
\(596\) | −11.0972 | + | 8.38019i | −0.454558 | + | 0.343266i | ||||
\(597\) | 24.9337 | + | 2.28422i | 1.02047 | + | 0.0934871i | ||||
\(598\) | −4.03918 | − | 0.755053i | −0.165174 | − | 0.0308764i | ||||
\(599\) | −18.5087 | − | 11.4601i | −0.756243 | − | 0.468246i | 0.0933836 | − | 0.995630i | \(-0.470232\pi\) |
−0.849627 | + | 0.527384i | \(0.823173\pi\) | |||||||
\(600\) | −0.635637 | − | 3.38083i | −0.0259498 | − | 0.138022i | ||||
\(601\) | −0.263470 | − | 0.0244141i | −0.0107472 | − | 0.000995871i | 0.0868934 | − | 0.996218i | \(-0.472306\pi\) |
−0.0976406 | + | 0.995222i | \(0.531130\pi\) | |||||||
\(602\) | −0.393919 | + | 1.38448i | −0.0160549 | + | 0.0564273i | ||||
\(603\) | 12.7776 | + | 32.7796i | 0.520344 | + | 1.33489i | ||||
\(604\) | 4.47978 | + | 3.38297i | 0.182280 | + | 0.137651i | ||||
\(605\) | 0.232652 | + | 0.0434903i | 0.00945866 | + | 0.00176813i | ||||
\(606\) | −5.88817 | − | 6.44550i | −0.239191 | − | 0.261831i | ||||
\(607\) | −14.7492 | + | 29.6203i | −0.598650 | + | 1.20225i | 0.363974 | + | 0.931409i | \(0.381420\pi\) |
−0.962624 | + | 0.270842i | \(0.912698\pi\) | |||||||
\(608\) | −2.17916 | + | 0.620025i | −0.0883766 | + | 0.0251453i | ||||
\(609\) | −22.9475 | + | 17.3668i | −0.929880 | + | 0.703737i | ||||
\(610\) | 0.336403 | + | 1.79960i | 0.0136206 | + | 0.0728636i | ||||
\(611\) | −67.7147 | − | 12.6581i | −2.73944 | − | 0.512091i | ||||
\(612\) | −8.72691 | − | 9.53295i | −0.352764 | − | 0.385346i | ||||
\(613\) | 13.1458 | − | 11.9840i | 0.530953 | − | 0.484027i | −0.363249 | − | 0.931692i | \(-0.618333\pi\) |
0.894201 | + | 0.447665i | \(0.147744\pi\) | |||||||
\(614\) | 1.04308 | + | 1.38126i | 0.0420954 | + | 0.0557433i | ||||
\(615\) | 24.1556 | − | 2.26376i | 0.974046 | − | 0.0912835i | ||||
\(616\) | −7.74960 | − | 3.85884i | −0.312240 | − | 0.155477i | ||||
\(617\) | 6.07866 | 0.244718 | 0.122359 | − | 0.992486i | \(-0.460954\pi\) | ||||
0.122359 | + | 0.992486i | \(0.460954\pi\) | |||||||
\(618\) | −1.03834 | − | 6.59153i | −0.0417682 | − | 0.265150i | ||||
\(619\) | −32.4800 | −1.30548 | −0.652740 | − | 0.757582i | \(-0.726381\pi\) | ||||
−0.652740 | + | 0.757582i | \(0.726381\pi\) | |||||||
\(620\) | 24.8053 | + | 12.3516i | 0.996204 | + | 0.496051i | ||||
\(621\) | 6.50404 | + | 7.08991i | 0.260998 | + | 0.284508i | ||||
\(622\) | 0.965218 | + | 1.27815i | 0.0387017 | + | 0.0512493i | ||||
\(623\) | −4.86993 | + | 4.43953i | −0.195110 | + | 0.177866i | ||||
\(624\) | −29.8128 | − | 11.5138i | −1.19347 | − | 0.460920i | ||||
\(625\) | 29.4335 | + | 5.50207i | 1.17734 | + | 0.220083i | ||||
\(626\) | 0.859907 | + | 4.60010i | 0.0343688 | + | 0.183857i | ||||
\(627\) | 1.89567 | + | 2.50484i | 0.0757059 | + | 0.100034i | ||||
\(628\) | −0.185159 | + | 0.0526823i | −0.00738865 | + | 0.00210225i | ||||
\(629\) | −3.65648 | + | 7.34320i | −0.145793 | + | 0.292793i | ||||
\(630\) | −4.94308 | + | 1.41758i | −0.196937 | + | 0.0564778i | ||||
\(631\) | 10.2897 | + | 1.92348i | 0.409628 | + | 0.0765727i | 0.384530 | − | 0.923112i | \(-0.374363\pi\) |
0.0250973 | + | 0.999685i | \(0.492010\pi\) | |||||||
\(632\) | 13.0263 | + | 9.83704i | 0.518160 | + | 0.391296i | ||||
\(633\) | 26.0097 | − | 28.5911i | 1.03379 | − | 1.13639i | ||||
\(634\) | 2.75165 | − | 9.67105i | 0.109282 | − | 0.384087i | ||||
\(635\) | 52.5927 | + | 4.87343i | 2.08708 | + | 0.193396i | ||||
\(636\) | −20.5809 | + | 3.86946i | −0.816086 | + | 0.153434i | ||||
\(637\) | −18.8504 | − | 11.6717i | −0.746880 | − | 0.462449i | ||||
\(638\) | 11.4321 | + | 2.13703i | 0.452601 | + | 0.0846057i | ||||
\(639\) | 14.9872 | + | 9.23651i | 0.592886 | + | 0.365391i | ||||
\(640\) | 20.2265 | − | 15.2743i | 0.799521 | − | 0.603770i | ||||
\(641\) | −21.3579 | + | 10.6350i | −0.843588 | + | 0.420057i | −0.814949 | − | 0.579533i | \(-0.803235\pi\) |
−0.0286393 | + | 0.999590i | \(0.509117\pi\) | |||||||
\(642\) | 0.837277 | + | 2.93111i | 0.0330447 | + | 0.115682i | ||||
\(643\) | −1.42509 | + | 15.3791i | −0.0561999 | + | 0.606494i | 0.920334 | + | 0.391132i | \(0.127917\pi\) |
−0.976534 | + | 0.215362i | \(0.930907\pi\) | |||||||
\(644\) | 4.91140 | + | 3.70891i | 0.193536 | + | 0.146152i | ||||
\(645\) | −3.33108 | + | 8.62521i | −0.131161 | + | 0.339617i | ||||
\(646\) | −0.215702 | − | 0.433187i | −0.00848666 | − | 0.0170435i | ||||
\(647\) | 11.2541 | + | 12.3452i | 0.442446 | + | 0.485340i | 0.919253 | − | 0.393668i | \(-0.128794\pi\) |
−0.476807 | + | 0.879008i | \(0.658206\pi\) | |||||||
\(648\) | −6.98158 | − | 11.1712i | −0.274262 | − | 0.438847i | ||||
\(649\) | 40.1649 | + | 11.4279i | 1.57661 | + | 0.448585i | ||||
\(650\) | 2.02868 | − | 2.22536i | 0.0795714 | − | 0.0872857i | ||||
\(651\) | 6.61816 | − | 17.1365i | 0.259386 | − | 0.671632i | ||||
\(652\) | −3.50051 | − | 2.16743i | −0.137091 | − | 0.0848829i | ||||
\(653\) | −20.3082 | + | 12.5743i | −0.794723 | + | 0.492072i | −0.862762 | − | 0.505611i | \(-0.831267\pi\) |
0.0680386 | + | 0.997683i | \(0.478326\pi\) | |||||||
\(654\) | −3.03194 | + | 10.6985i | −0.118558 | + | 0.418346i | ||||
\(655\) | 1.68767 | − | 4.35638i | 0.0659427 | − | 0.170218i | ||||
\(656\) | 9.23072 | + | 14.9081i | 0.360399 | + | 0.582064i | ||||
\(657\) | 1.72429 | − | 2.79786i | 0.0672711 | − | 0.109155i | ||||
\(658\) | −6.39293 | − | 4.82771i | −0.249222 | − | 0.188204i | ||||
\(659\) | 8.69946 | − | 9.54285i | 0.338883 | − | 0.371737i | −0.545812 | − | 0.837908i | \(-0.683779\pi\) |
0.884695 | + | 0.466171i | \(0.154367\pi\) | |||||||
\(660\) | −22.7711 | − | 14.0664i | −0.886363 | − | 0.547535i | ||||
\(661\) | 10.7771 | + | 27.8188i | 0.419179 | + | 1.08203i | 0.969069 | + | 0.246789i | \(0.0793756\pi\) |
−0.549890 | + | 0.835237i | \(0.685330\pi\) | |||||||
\(662\) | −4.64754 | + | 0.868776i | −0.180632 | + | 0.0337659i | ||||
\(663\) | 4.29492 | − | 23.1092i | 0.166801 | − | 0.897488i | ||||
\(664\) | 18.5795 | 0.721025 | ||||||||
\(665\) | 2.47984 | 0.0961640 | ||||||||
\(666\) | −2.41856 | + | 3.21662i | −0.0937174 | + | 0.124642i | ||||
\(667\) | −16.0179 | − | 6.20538i | −0.620217 | − | 0.240273i | ||||
\(668\) | −5.41469 | + | 8.74502i | −0.209501 | + | 0.338355i | ||||
\(669\) | −18.1909 | + | 0.0189741i | −0.703300 | + | 0.000733581i | ||||
\(670\) | −5.00301 | − | 10.0474i | −0.193283 | − | 0.388165i | ||||
\(671\) | 5.37089 | + | 3.32551i | 0.207341 | + | 0.128380i | ||||
\(672\) | −8.63148 | − | 9.44847i | −0.332967 | − | 0.364483i | ||||
\(673\) | −3.44885 | − | 12.1214i | −0.132943 | − | 0.467247i | 0.866550 | − | 0.499091i | \(-0.166333\pi\) |
−0.999493 | + | 0.0318439i | \(0.989862\pi\) | |||||||
\(674\) | − | 4.84866i | − | 0.186764i | ||||||
\(675\) | −6.92656 | + | 1.31724i | −0.266603 | + | 0.0507007i | ||||
\(676\) | −10.7558 | − | 37.8029i | −0.413686 | − | 1.45396i | ||||
\(677\) | 0.419244 | + | 2.24276i | 0.0161129 | + | 0.0861962i | 0.990084 | − | 0.140475i | \(-0.0448629\pi\) |
−0.973971 | + | 0.226671i | \(0.927216\pi\) | |||||||
\(678\) | −1.28624 | − | 0.117835i | −0.0493977 | − | 0.00452541i | ||||
\(679\) | 2.10108 | − | 22.6743i | 0.0806321 | − | 0.870159i | ||||
\(680\) | 6.33078 | + | 5.77127i | 0.242774 | + | 0.221318i | ||||
\(681\) | 9.32162 | + | 18.6715i | 0.357205 | + | 0.715494i | ||||
\(682\) | −6.92253 | + | 2.68180i | −0.265077 | + | 0.102692i | ||||
\(683\) | −42.9410 | + | 26.5879i | −1.64309 | + | 1.01736i | −0.685985 | + | 0.727615i | \(0.740629\pi\) |
−0.957105 | + | 0.289743i | \(0.906430\pi\) | |||||||
\(684\) | 0.842905 | + | 2.93919i | 0.0322293 | + | 0.112383i | ||||
\(685\) | 6.07146 | + | 32.4795i | 0.231979 | + | 1.24098i | ||||
\(686\) | −3.86259 | − | 6.23830i | −0.147474 | − | 0.238179i | ||||
\(687\) | 18.1809 | − | 11.2834i | 0.693643 | − | 0.430487i | ||||
\(688\) | −6.65394 | + | 0.616579i | −0.253679 | + | 0.0235068i | ||||
\(689\) | −28.1457 | − | 25.6582i | −1.07226 | − | 0.977498i | ||||
\(690\) | −2.27053 | − | 2.06553i | −0.0864376 | − | 0.0786334i | ||||
\(691\) | −20.4519 | + | 22.4347i | −0.778027 | + | 0.853455i | −0.992369 | − | 0.123304i | \(-0.960651\pi\) |
0.214342 | + | 0.976759i | \(0.431239\pi\) | |||||||
\(692\) | −21.7530 | + | 19.8304i | −0.826923 | + | 0.753840i | ||||
\(693\) | −7.87587 | + | 15.8999i | −0.299179 | + | 0.603988i | ||||
\(694\) | 0.387576 | + | 4.18261i | 0.0147122 | + | 0.158770i | ||||
\(695\) | −2.83898 | + | 3.75941i | −0.107688 | + | 0.142603i | ||||
\(696\) | 20.0099 | + | 12.3608i | 0.758474 | + | 0.468533i | ||||
\(697\) | −9.53040 | + | 8.68810i | −0.360989 | + | 0.329085i | ||||
\(698\) | 1.55874 | + | 3.13038i | 0.0589993 | + | 0.118487i | ||||
\(699\) | 37.2646 | − | 7.00620i | 1.40948 | − | 0.264999i | ||||
\(700\) | −4.20559 | + | 1.62926i | −0.158957 | + | 0.0615801i | ||||
\(701\) | 1.85987 | − | 9.94944i | 0.0702464 | − | 0.375785i | −0.929725 | − | 0.368254i | \(-0.879956\pi\) |
0.999972 | − | 0.00753109i | \(-0.00239724\pi\) | |||||||
\(702\) | 4.13195 | − | 10.7657i | 0.155950 | − | 0.406324i | ||||
\(703\) | 1.54875 | − | 1.16956i | 0.0584122 | − | 0.0441108i | ||||
\(704\) | 1.44625 | − | 15.6075i | 0.0545074 | − | 0.588229i | ||||
\(705\) | −38.0642 | − | 34.6275i | −1.43358 | − | 1.30415i | ||||
\(706\) | −0.0257803 | − | 0.00733514i | −0.000970256 | − | 0.000276062i | ||||
\(707\) | −14.3308 | + | 18.9770i | −0.538965 | + | 0.713705i | ||||
\(708\) | 32.4627 | + | 24.4616i | 1.22002 | + | 0.919322i | ||||
\(709\) | 19.1610 | + | 7.42301i | 0.719607 | + | 0.278777i | 0.693070 | − | 0.720871i | \(-0.256258\pi\) |
0.0265372 | + | 0.999648i | \(0.491552\pi\) | |||||||
\(710\) | −5.02766 | − | 2.50348i | −0.188685 | − | 0.0939538i | ||||
\(711\) | 20.1061 | − | 26.7406i | 0.754037 | − | 1.00285i | ||||
\(712\) | 4.82109 | + | 2.40062i | 0.180678 | + | 0.0899669i | ||||
\(713\) | 10.7785 | − | 2.01485i | 0.403657 | − | 0.0754566i | ||||
\(714\) | 1.64497 | − | 2.18303i | 0.0615616 | − | 0.0816978i | ||||
\(715\) | −4.49139 | − | 48.4698i | −0.167968 | − | 1.81267i | ||||
\(716\) | 0.781641 | + | 0.857419i | 0.0292113 | + | 0.0320433i | ||||
\(717\) | 5.33055 | + | 28.3521i | 0.199073 | + | 1.05883i | ||||
\(718\) | −8.33271 | + | 5.15940i | −0.310974 | + | 0.192547i | ||||
\(719\) | 19.3885 | − | 38.9373i | 0.723068 | − | 1.45212i | −0.162066 | − | 0.986780i | \(-0.551816\pi\) |
0.885134 | − | 0.465336i | \(-0.154067\pi\) | |||||||
\(720\) | −14.4263 | − | 19.0209i | −0.537638 | − | 0.708868i | ||||
\(721\) | −17.1358 | + | 6.06153i | −0.638169 | + | 0.225743i | ||||
\(722\) | − | 7.09797i | − | 0.264159i | ||||||
\(723\) | −9.28766 | + | 7.02894i | −0.345412 | + | 0.261409i | ||||
\(724\) | −5.69631 | − | 9.19986i | −0.211702 | − | 0.341910i | ||||
\(725\) | 10.0457 | − | 7.58618i | 0.373089 | − | 0.281744i | ||||
\(726\) | −0.0593472 | + | 0.0169527i | −0.00220258 | + | 0.000629173i | ||||
\(727\) | −4.28618 | + | 0.397173i | −0.158966 | + | 0.0147303i | −0.171457 | − | 0.985192i | \(-0.554847\pi\) |
0.0124911 | + | 0.999922i | \(0.496024\pi\) | |||||||
\(728\) | 2.81603 | − | 15.0645i | 0.104369 | − | 0.558326i | ||||
\(729\) | −22.8665 | + | 14.3571i | −0.846906 | + | 0.531743i | ||||
\(730\) | −0.467355 | + | 0.938576i | −0.0172976 | + | 0.0347383i | ||||
\(731\) | −1.34499 | − | 4.72716i | −0.0497463 | − | 0.174840i | ||||
\(732\) | 3.71065 | + | 4.90305i | 0.137149 | + | 0.181222i | ||||
\(733\) | 0.734658 | − | 1.89637i | 0.0271352 | − | 0.0700440i | −0.918247 | − | 0.396009i | \(-0.870395\pi\) |
0.945382 | + | 0.325965i | \(0.105689\pi\) | |||||||
\(734\) | 1.01572 | − | 5.43363i | 0.0374910 | − | 0.200559i | ||||
\(735\) | −7.39764 | − | 14.8177i | −0.272866 | − | 0.546559i | ||||
\(736\) | 2.09048 | − | 7.34728i | 0.0770562 | − | 0.270824i | ||||
\(737\) | −37.2503 | − | 10.5986i | −1.37213 | − | 0.390406i | ||||
\(738\) | −5.37219 | + | 3.34184i | −0.197753 | + | 0.123015i | ||||
\(739\) | 2.36626 | + | 3.13344i | 0.0870443 | + | 0.115265i | 0.839456 | − | 0.543428i | \(-0.182874\pi\) |
−0.752411 | + | 0.658694i | \(0.771109\pi\) | |||||||
\(740\) | −8.70512 | + | 14.0592i | −0.320006 | + | 0.516828i | ||||
\(741\) | −3.34656 | + | 4.44119i | −0.122939 | + | 0.163151i | ||||
\(742\) | −1.59995 | − | 4.12994i | −0.0587359 | − | 0.151615i | ||||
\(743\) | −19.5180 | − | 25.8460i | −0.716046 | − | 0.948198i | 0.283898 | − | 0.958855i | \(-0.408372\pi\) |
−0.999943 | + | 0.0106570i | \(0.996608\pi\) | |||||||
\(744\) | −15.0134 | + | 0.0156598i | −0.550419 | + | 0.000574118i | ||||
\(745\) | −12.7272 | − | 13.9610i | −0.466287 | − | 0.511493i | ||||
\(746\) | −4.65674 | − | 0.431511i | −0.170495 | − | 0.0157987i | ||||
\(747\) | −0.0794396 | − | 38.0802i | −0.00290654 | − | 1.39328i | ||||
\(748\) | 14.1665 | − | 1.31272i | 0.517978 | − | 0.0479978i | ||||
\(749\) | 7.43297 | − | 3.70118i | 0.271595 | − | 0.135238i | ||||
\(750\) | −5.80699 | + | 1.65878i | −0.212041 | + | 0.0605700i | ||||
\(751\) | 13.7256 | + | 12.5125i | 0.500853 | + | 0.456587i | 0.884262 | − | 0.466991i | \(-0.154662\pi\) |
−0.383409 | + | 0.923578i | \(0.625250\pi\) | |||||||
\(752\) | 10.1777 | − | 35.7708i | 0.371141 | − | 1.30443i | ||||
\(753\) | 7.10326 | − | 2.76034i | 0.258857 | − | 0.100592i | ||||
\(754\) | 1.89964 | + | 20.5004i | 0.0691808 | + | 0.746580i | ||||
\(755\) | −4.01472 | + | 6.48399i | −0.146111 | + | 0.235977i | ||||
\(756\) | −12.7271 | + | 11.6754i | −0.462881 | + | 0.424631i | ||||
\(757\) | −15.6330 | + | 2.92232i | −0.568191 | + | 0.106213i | −0.460004 | − | 0.887917i | \(-0.652152\pi\) |
−0.108188 | + | 0.994130i | \(0.534505\pi\) | |||||||
\(758\) | −4.73605 | − | 1.83475i | −0.172021 | − | 0.0666413i | ||||
\(759\) | −10.5451 | + | 0.988238i | −0.382761 | + | 0.0358708i | ||||
\(760\) | −0.732135 | − | 1.88986i | −0.0265573 | − | 0.0685523i | ||||
\(761\) | −25.1138 | + | 33.2561i | −0.910375 | + | 1.20553i | 0.0677900 | + | 0.997700i | \(0.478405\pi\) |
−0.978165 | + | 0.207831i | \(0.933359\pi\) | |||||||
\(762\) | −12.8384 | + | 4.98901i | −0.465084 | + | 0.180733i | ||||
\(763\) | 30.1605 | + | 2.79478i | 1.09188 | + | 0.101178i | ||||
\(764\) | −8.08985 | + | 3.13402i | −0.292680 | + | 0.113385i | ||||
\(765\) | 11.8016 | − | 13.0001i | 0.426688 | − | 0.470020i | ||||
\(766\) | 7.35847 | − | 2.09367i | 0.265873 | − | 0.0756472i | ||||
\(767\) | 73.9239i | 2.66924i | ||||||||
\(768\) | 4.37333 | − | 8.80583i | 0.157809 | − | 0.317753i | ||||
\(769\) | 4.03494 | − | 1.14804i | 0.145504 | − | 0.0413993i | −0.200127 | − | 0.979770i | \(-0.564136\pi\) |
0.345631 | + | 0.938371i | \(0.387665\pi\) | |||||||
\(770\) | 2.04490 | − | 5.27849i | 0.0736931 | − | 0.190224i | ||||
\(771\) | 42.3962 | − | 26.3119i | 1.52686 | − | 0.947598i | ||||
\(772\) | 5.67094 | − | 2.82379i | 0.204102 | − | 0.101630i | ||||
\(773\) | 2.70059 | − | 1.34474i | 0.0971336 | − | 0.0483668i | −0.396515 | − | 0.918028i | \(-0.629781\pi\) |
0.493649 | + | 0.869661i | \(0.335663\pi\) | |||||||
\(774\) | −0.227482 | − | 2.40040i | −0.00817666 | − | 0.0862808i | ||||
\(775\) | −2.90277 | + | 7.49290i | −0.104270 | + | 0.269153i | ||||
\(776\) | −17.9001 | + | 5.09302i | −0.642577 | + | 0.182829i | ||||
\(777\) | 9.81813 | + | 4.87607i | 0.352223 | + | 0.174928i | ||||
\(778\) | − | 8.81940i | − | 0.316191i | ||||||
\(779\) | 2.93456 | − | 0.834955i | 0.105142 | − | 0.0299154i | ||||
\(780\) | 12.9190 | − | 45.5862i | 0.462575 | − | 1.63225i | ||||
\(781\) | −18.0710 | + | 7.00074i | −0.646631 | + | 0.250506i | ||||
\(782\) | 1.62463 | + | 0.150544i | 0.0580966 | + | 0.00538344i | ||||
\(783\) | 25.2488 | − | 41.0647i | 0.902318 | − | 1.46753i | ||||
\(784\) | 7.21333 | − | 9.55199i | 0.257619 | − | 0.341143i | ||||
\(785\) | −0.0944744 | − | 0.243867i | −0.00337194 | − | 0.00870397i | ||||
\(786\) | 0.113676 | + | 1.21299i | 0.00405471 | + | 0.0432660i | ||||
\(787\) | 19.8563 | + | 7.69237i | 0.707800 | + | 0.274203i | 0.688114 | − | 0.725603i | \(-0.258439\pi\) |
0.0196865 | + | 0.999806i | \(0.493733\pi\) | |||||||
\(788\) | 35.6378 | − | 6.66186i | 1.26954 | − | 0.237319i | ||||
\(789\) | −0.0677051 | − | 0.722452i | −0.00241037 | − | 0.0257200i | ||||
\(790\) | −5.61888 | + | 9.07480i | −0.199911 | + | 0.322867i | ||||
\(791\) | 0.324627 | + | 3.50329i | 0.0115424 | + | 0.124563i | ||||
\(792\) | 14.4424 | + | 1.30790i | 0.513188 | + | 0.0464743i | ||||
\(793\) | −3.06032 | + | 10.7559i | −0.108675 | + | 0.381953i | ||||
\(794\) | 6.66259 | + | 6.07375i | 0.236447 | + | 0.215549i | ||||
\(795\) | −7.81413 | − | 27.3554i | −0.277139 | − | 0.970196i | ||||
\(796\) | −24.0159 | + | 11.9585i | −0.851221 | + | 0.423858i | ||||
\(797\) | −20.9824 | + | 1.94431i | −0.743236 | + | 0.0688710i | −0.457220 | − | 0.889354i | \(-0.651155\pi\) |
−0.286017 | + | 0.958225i | \(0.592331\pi\) | |||||||
\(798\) | −0.578585 | + | 0.288855i | −0.0204817 | + | 0.0102253i | ||||
\(799\) | 27.2360 | + | 2.52379i | 0.963541 | + | 0.0892853i | ||||
\(800\) | 3.77131 | + | 4.13693i | 0.133336 | + | 0.146263i | ||||
\(801\) | 4.89964 | − | 9.89146i | 0.173120 | − | 0.349498i | ||||
\(802\) | 3.77733 | + | 5.00199i | 0.133382 | + | 0.176626i | ||||
\(803\) | 1.30692 | + | 3.37354i | 0.0461201 | + | 0.119050i | ||||
\(804\) | −30.1070 | − | 22.6865i | −1.06179 | − | 0.800091i | ||||
\(805\) | −4.40153 | + | 7.10871i | −0.155133 | + | 0.250549i | ||||
\(806\) | −7.91986 | − | 10.4876i | −0.278965 | − | 0.369410i | ||||
\(807\) | −15.7821 | + | 25.5485i | −0.555556 | + | 0.899349i | ||||
\(808\) | 18.6931 | + | 5.31866i | 0.657622 | + | 0.187110i | ||||
\(809\) | 9.09581 | − | 31.9685i | 0.319792 | − | 1.12395i | −0.620676 | − | 0.784067i | \(-0.713142\pi\) |
0.940467 | − | 0.339884i | \(-0.110388\pi\) | |||||||
\(810\) | 6.85225 | − | 5.21961i | 0.240764 | − | 0.183399i | ||||
\(811\) | −6.82390 | + | 36.5046i | −0.239619 | + | 1.28185i | 0.625476 | + | 0.780243i | \(0.284905\pi\) |
−0.865095 | + | 0.501607i | \(0.832742\pi\) | |||||||
\(812\) | 11.1393 | − | 28.7538i | 0.390913 | − | 1.00906i | ||||
\(813\) | 4.33499 | − | 3.28074i | 0.152035 | − | 0.115061i | ||||
\(814\) | −1.21237 | − | 4.26104i | −0.0424936 | − | 0.149349i | ||||
\(815\) | 2.49316 | − | 5.00694i | 0.0873315 | − | 0.175385i | ||||
\(816\) | 12.2089 | + | 3.45996i | 0.427396 | + | 0.121123i | ||||
\(817\) | −0.213656 | + | 1.14296i | −0.00747489 | + | 0.0399871i | ||||
\(818\) | 0.0185279 | − | 0.00171686i | 0.000647813 | − | 6.00287e-5i | ||||
\(819\) | −30.8878 | − | 5.70727i | −1.07931 | − | 0.199428i | ||||
\(820\) | −20.7454 | + | 15.6662i | −0.724462 | + | 0.547088i | ||||
\(821\) | 21.5722 | + | 34.8403i | 0.752874 | + | 1.21593i | 0.970782 | + | 0.239964i | \(0.0771357\pi\) |
−0.217907 | + | 0.975969i | \(0.569923\pi\) | |||||||
\(822\) | −5.19982 | − | 6.87076i | −0.181364 | − | 0.239645i | ||||
\(823\) | − | 4.39932i | − | 0.153351i | −0.997056 | − | 0.0766754i | \(-0.975569\pi\) | ||
0.997056 | − | 0.0766754i | \(-0.0244305\pi\) | |||||||
\(824\) | 9.67850 | + | 11.2694i | 0.337167 | + | 0.392588i | ||||
\(825\) | 3.45235 | − | 6.95143i | 0.120196 | − | 0.242018i | ||||
\(826\) | −3.83187 | + | 7.69544i | −0.133328 | + | 0.267759i | ||||
\(827\) | 13.9572 | − | 8.64194i | 0.485340 | − | 0.300510i | −0.261864 | − | 0.965105i | \(-0.584337\pi\) |
0.747204 | + | 0.664595i | \(0.231396\pi\) | |||||||
\(828\) | −9.92158 | − | 2.80057i | −0.344799 | − | 0.0973267i | ||||
\(829\) | 13.1570 | + | 14.4325i | 0.456960 | + | 0.501262i | 0.923691 | − | 0.383138i | \(-0.125157\pi\) |
−0.466731 | + | 0.884399i | \(0.654568\pi\) | |||||||
\(830\) | 1.12094 | + | 12.0969i | 0.0389086 | + | 0.419890i | ||||
\(831\) | 43.1796 | + | 32.5371i | 1.49788 | + | 1.12870i | ||||
\(832\) | 27.2750 | − | 5.09859i | 0.945592 | − | 0.176762i | ||||
\(833\) | 7.88047 | + | 3.92401i | 0.273042 | + | 0.135959i | ||||
\(834\) | 0.224477 | − | 1.20782i | 0.00777299 | − | 0.0418233i | ||||
\(835\) | −12.5084 | − | 6.22844i | −0.432871 | − | 0.215544i | ||||
\(836\) | −3.13863 | − | 1.21591i | −0.108552 | − | 0.0420532i | ||||
\(837\) | 0.0962883 | + | 30.7711i | 0.00332821 | + | 1.06361i | ||||
\(838\) | 5.34434 | − | 7.07705i | 0.184617 | − | 0.244473i | ||||
\(839\) | −19.6591 | − | 5.59350i | −0.678708 | − | 0.193109i | −0.0832901 | − | 0.996525i | \(-0.526543\pi\) |
−0.595418 | + | 0.803416i | \(0.703013\pi\) | |||||||
\(840\) | 7.70356 | − | 8.46813i | 0.265798 | − | 0.292178i | ||||
\(841\) | −5.26550 | + | 56.8238i | −0.181569 | + | 1.95944i | ||||
\(842\) | 10.9342 | − | 8.25712i | 0.376817 | − | 0.284559i | ||||
\(843\) | −35.2253 | + | 21.8615i | −1.21322 | + | 0.752949i | ||||
\(844\) | −7.61008 | + | 40.7103i | −0.261950 | + | 1.40131i | ||||
\(845\) | 49.7889 | − | 19.2883i | 1.71279 | − | 0.663538i | ||||
\(846\) | 12.9144 | + | 3.64537i | 0.444008 | + | 0.125330i | ||||
\(847\) | 0.0749392 | + | 0.150498i | 0.00257494 | + | 0.00517118i | ||||
\(848\) | 15.1951 | − | 13.8521i | 0.521801 | − | 0.475684i | ||||
\(849\) | 22.4980 | − | 36.4203i | 0.772129 | − | 1.24994i | ||||
\(850\) | −0.720549 | + | 0.954160i | −0.0247146 | + | 0.0327274i | ||||
\(851\) | 0.603752 | + | 6.51553i | 0.0206964 | + | 0.223349i | ||||
\(852\) | −18.8637 | + | 0.0196759i | −0.646259 | + | 0.000674084i | ||||
\(853\) | −34.9067 | + | 31.8217i | −1.19518 | + | 1.08955i | −0.201253 | + | 0.979539i | \(0.564501\pi\) |
−0.993930 | + | 0.110014i | \(0.964910\pi\) | |||||||
\(854\) | −0.876114 | + | 0.961051i | −0.0299800 | + | 0.0328865i | ||||
\(855\) | −3.87028 | + | 1.50865i | −0.132361 | + | 0.0515947i | ||||
\(856\) | −5.01510 | − | 4.57186i | −0.171412 | − | 0.156263i | ||||
\(857\) | −18.2757 | + | 1.69350i | −0.624287 | + | 0.0578487i | −0.399761 | − | 0.916619i | \(-0.630907\pi\) |
−0.224526 | + | 0.974468i | \(0.572083\pi\) | |||||||
\(858\) | 6.69374 | + | 10.7856i | 0.228520 | + | 0.368215i | ||||
\(859\) | 8.12424 | + | 13.1211i | 0.277195 | + | 0.447686i | 0.958819 | − | 0.284017i | \(-0.0916671\pi\) |
−0.681624 | + | 0.731703i | \(0.738726\pi\) | |||||||
\(860\) | −1.82045 | − | 9.73855i | −0.0620769 | − | 0.332082i | ||||
\(861\) | 11.6236 | + | 12.7238i | 0.396130 | + | 0.433625i | ||||
\(862\) | 3.86051 | − | 2.39033i | 0.131489 | − | 0.0814148i | ||||
\(863\) | 1.05767 | − | 0.409744i | 0.0360035 | − | 0.0139478i | −0.343173 | − | 0.939272i | \(-0.611502\pi\) |
0.379176 | + | 0.925325i | \(0.376207\pi\) | |||||||
\(864\) | 19.2193 | + | 9.49512i | 0.653853 | + | 0.323031i | ||||
\(865\) | −29.5520 | − | 26.9402i | −1.00480 | − | 0.915993i | ||||
\(866\) | −1.01251 | + | 10.9267i | −0.0344064 | + | 0.371304i | ||||
\(867\) | 1.83480 | − | 20.0281i | 0.0623132 | − | 0.680188i | ||||
\(868\) | 3.61685 | + | 19.3485i | 0.122764 | + | 0.656730i | ||||
\(869\) | 10.0787 | + | 35.4231i | 0.341898 | + | 1.20165i | ||||
\(870\) | −6.84071 | + | 13.7740i | −0.231922 | + | 0.466982i | ||||
\(871\) | − | 68.5596i | − | 2.32305i | ||||||
\(872\) | −6.77456 | − | 23.8101i | −0.229416 | − | 0.806312i | ||||
\(873\) | 10.5151 | + | 36.6659i | 0.355882 | + | 1.24095i | ||||
\(874\) | −0.328190 | − | 0.203207i | −0.0111012 | − | 0.00687358i | ||||
\(875\) | 7.33262 | + | 14.7259i | 0.247888 | + | 0.497826i | ||||
\(876\) | 0.00367314 | + | 3.52152i | 0.000124104 | + | 0.118981i | ||||
\(877\) | −10.8619 | + | 17.5426i | −0.366781 | + | 0.592371i | −0.980349 | − | 0.197270i | \(-0.936792\pi\) |
0.613568 | + | 0.789642i | \(0.289734\pi\) | |||||||
\(878\) | 10.0567 | + | 3.89600i | 0.339399 | + | 0.131484i | ||||
\(879\) | −30.1451 | − | 5.60255i | −1.01677 | − | 0.188969i | ||||
\(880\) | 26.2796 | 0.885886 | ||||||||
\(881\) | 12.0496 | 0.405962 | 0.202981 | − | 0.979183i | \(-0.434937\pi\) | ||||
0.202981 | + | 0.979183i | \(0.434937\pi\) | |||||||
\(882\) | 3.45197 | + | 2.59552i | 0.116234 | + | 0.0873956i | ||||
\(883\) | 48.5071 | − | 9.06755i | 1.63239 | − | 0.305147i | 0.713800 | − | 0.700350i | \(-0.246973\pi\) |
0.918594 | + | 0.395203i | \(0.129326\pi\) | |||||||
\(884\) | 9.09812 | + | 23.4849i | 0.306003 | + | 0.789884i | ||||
\(885\) | −29.0208 | + | 46.9796i | −0.975522 | + | 1.57920i | ||||
\(886\) | −3.80916 | + | 4.17845i | −0.127971 | + | 0.140378i | ||||
\(887\) | 20.8462 | + | 15.7424i | 0.699948 | + | 0.528576i | 0.891565 | − | 0.452893i | \(-0.149608\pi\) |
−0.191616 | + | 0.981470i | \(0.561373\pi\) | |||||||
\(888\) | 0.817348 | − | 8.92187i | 0.0274284 | − | 0.299398i | ||||
\(889\) | 19.7509 | + | 31.8988i | 0.662424 | + | 1.06985i | ||||
\(890\) | −1.27215 | + | 3.28379i | −0.0426425 | + | 0.110073i | ||||
\(891\) | 2.61890 | − | 29.6064i | 0.0877364 | − | 0.991851i | ||||
\(892\) | 16.5721 | − | 10.2610i | 0.554876 | − | 0.343565i | ||||
\(893\) | −5.50194 | − | 3.40666i | −0.184115 | − | 0.113999i | ||||
\(894\) | 4.59564 | + | 1.77485i | 0.153701 | + | 0.0593599i | ||||
\(895\) | −1.06188 | + | 1.16483i | −0.0354947 | + | 0.0389359i | ||||
\(896\) | 17.3168 | + | 4.92705i | 0.578513 | + | 0.164601i | ||||
\(897\) | −6.79122 | − | 17.4760i | −0.226752 | − | 0.583507i | ||||
\(898\) | 3.15577 | + | 3.46172i | 0.105309 | + | 0.115519i | ||||
\(899\) | −24.4885 | − | 49.1796i | −0.816738 | − | 1.64023i | ||||
\(900\) | 5.57248 | − | 5.10131i | 0.185749 | − | 0.170044i | ||||
\(901\) | 12.0679 | + | 9.11329i | 0.402042 | + | 0.303608i | ||||
\(902\) | 0.642614 | − | 6.93491i | 0.0213967 | − | 0.230907i | ||||
\(903\) | −6.31523 | + | 1.80396i | −0.210158 | + | 0.0600320i | ||||
\(904\) | 2.57398 | − | 1.28169i | 0.0856091 | − | 0.0426283i | ||||
\(905\) | 11.7309 | − | 8.85877i | 0.389949 | − | 0.294475i | ||||
\(906\) | 0.181433 | − | 1.98046i | 0.00602771 | − | 0.0657963i | ||||
\(907\) | −17.7468 | − | 3.31746i | −0.589274 | − | 0.110154i | −0.119336 | − | 0.992854i | \(-0.538077\pi\) |
−0.469938 | + | 0.882699i | \(0.655724\pi\) | |||||||
\(908\) | −19.0120 | − | 11.7717i | −0.630934 | − | 0.390658i | ||||
\(909\) | 10.8211 | − | 38.3358i | 0.358912 | − | 1.27152i | ||||
\(910\) | 9.97820 | + | 0.924616i | 0.330774 | + | 0.0306507i | ||||
\(911\) | 13.8132 | − | 48.5484i | 0.457653 | − | 1.60848i | −0.298720 | − | 0.954341i | \(-0.596560\pi\) |
0.756373 | − | 0.654141i | \(-0.226970\pi\) | |||||||
\(912\) | −2.22074 | − | 2.02024i | −0.0735361 | − | 0.0668967i | ||||
\(913\) | 33.4523 | + | 25.2620i | 1.10711 | + | 0.836051i | ||||
\(914\) | 14.5646 | + | 2.72259i | 0.481754 | + | 0.0900554i | ||||
\(915\) | −6.16738 | + | 5.63410i | −0.203887 | + | 0.186258i | ||||
\(916\) | −10.2197 | + | 20.5240i | −0.337670 | + | 0.678132i | ||||
\(917\) | 3.19190 | − | 0.908173i | 0.105406 | − | 0.0299905i | ||||
\(918\) | −1.23923 | + | 4.40779i | −0.0409007 | + | 0.145479i | ||||
\(919\) | −6.94076 | − | 37.1298i | −0.228955 | − | 1.22480i | −0.883375 | − | 0.468667i | \(-0.844734\pi\) |
0.654420 | − | 0.756131i | \(-0.272913\pi\) | |||||||
\(920\) | 6.71695 | + | 1.25562i | 0.221451 | + | 0.0413964i | ||||
\(921\) | −2.84526 | + | 7.36727i | −0.0937545 | + | 0.242760i | ||||
\(922\) | 7.14031 | − | 6.50925i | 0.235153 | − | 0.214371i | ||||
\(923\) | −20.6745 | − | 27.3774i | −0.680509 | − | 0.901140i | ||||
\(924\) | −1.77399 | − | 18.9295i | −0.0583599 | − | 0.622733i | ||||
\(925\) | −4.29247 | − | 2.13740i | −0.141135 | − | 0.0702771i | ||||
\(926\) | −8.40447 | −0.276188 | ||||||||
\(927\) | 23.0561 | − | 19.8850i | 0.757263 | − | 0.653110i | ||||
\(928\) | −38.2734 | −1.25639 | ||||||||
\(929\) | 18.2213 | + | 9.07313i | 0.597822 | + | 0.297680i | 0.719065 | − | 0.694943i | \(-0.244570\pi\) |
−0.121243 | + | 0.992623i | \(0.538688\pi\) | |||||||
\(930\) | −0.915991 | − | 9.77414i | −0.0300365 | − | 0.320507i | ||||
\(931\) | −1.25513 | − | 1.66206i | −0.0411353 | − | 0.0544719i | ||||
\(932\) | −30.0251 | + | 27.3715i | −0.983504 | + | 0.896582i | ||||
\(933\) | −2.63287 | + | 6.81731i | −0.0861962 | + | 0.223189i | ||||
\(934\) | 14.3708 | + | 2.68636i | 0.470226 | + | 0.0879004i | ||||
\(935\) | 3.55151 | + | 18.9989i | 0.116147 | + | 0.621331i | ||||
\(936\) | 4.76971 | + | 25.2242i | 0.155903 | + | 0.824480i | ||||
\(937\) | −11.6294 | + | 3.30884i | −0.379915 | + | 0.108095i | −0.458230 | − | 0.888834i | \(-0.651516\pi\) |
0.0783155 | + | 0.996929i | \(0.475046\pi\) | |||||||
\(938\) | 3.55381 | − | 7.13702i | 0.116036 | − | 0.233032i | ||||
\(939\) | −15.7649 | + | 14.4018i | −0.514470 | + | 0.469984i | ||||
\(940\) | 54.1990 | + | 10.1315i | 1.76778 | + | 0.330454i | ||||
\(941\) | 34.0537 | + | 25.7161i | 1.11012 | + | 0.838322i | 0.988040 | − | 0.154199i | \(-0.0492796\pi\) |
0.122078 | + | 0.992521i | \(0.461044\pi\) | |||||||
\(942\) | 0.0504483 | + | 0.0458934i | 0.00164369 | + | 0.00149529i | ||||
\(943\) | −2.81514 | + | 9.89419i | −0.0916736 | + | 0.322199i | ||||
\(944\) | −39.7392 | − | 3.68238i | −1.29340 | − | 0.119851i | ||||
\(945\) | −17.3890 | − | 15.7529i | −0.565666 | − | 0.512440i | ||||
\(946\) | 2.25668 | + | 1.39728i | 0.0733710 | + | 0.0454294i | ||||
\(947\) | −28.0972 | − | 5.25227i | −0.913035 | − | 0.170676i | −0.293787 | − | 0.955871i | \(-0.594916\pi\) |
−0.619248 | + | 0.785195i | \(0.712563\pi\) | |||||||
\(948\) | −3.27044 | + | 35.6989i | −0.106219 | + | 1.15945i | ||||
\(949\) | −5.11089 | + | 3.85957i | −0.165907 | + | 0.125287i | ||||
\(950\) | 0.253219 | − | 0.126088i | 0.00821552 | − | 0.00409084i | ||||
\(951\) | 44.1139 | − | 12.6012i | 1.43049 | − | 0.408623i | ||||
\(952\) | −0.561466 | + | 6.05918i | −0.0181972 | + | 0.196379i | ||||
\(953\) | −12.7350 | − | 9.61702i | −0.412527 | − | 0.311526i | 0.375893 | − | 0.926663i | \(-0.377336\pi\) |
−0.788420 | + | 0.615137i | \(0.789101\pi\) | |||||||
\(954\) | 5.00955 | + | 5.47224i | 0.162190 | + | 0.177170i | ||||
\(955\) | −5.25354 | − | 10.5505i | −0.170001 | − | 0.341407i | ||||
\(956\) | −20.8251 | − | 22.8441i | −0.673532 | − | 0.738830i | ||||
\(957\) | 19.2212 | + | 49.4624i | 0.621333 | + | 1.59889i | ||||
\(958\) | 8.54456 | + | 2.43114i | 0.276062 | + | 0.0785465i | ||||
\(959\) | −15.8123 | + | 17.3452i | −0.510605 | + | 0.560107i | ||||
\(960\) | 19.3352 | + | 7.46731i | 0.624041 | + | 0.241006i | ||||
\(961\) | 3.45983 | + | 2.14224i | 0.111607 | + | 0.0691044i | ||||
\(962\) | 6.66782 | − | 4.12854i | 0.214979 | − | 0.133109i | ||||
\(963\) | −9.34895 | + | 10.2984i | −0.301266 | + | 0.331861i | ||||
\(964\) | 4.50846 | − | 11.6377i | 0.145208 | − | 0.374825i | ||||
\(965\) | 4.53068 | + | 7.31729i | 0.145848 | + | 0.235552i | ||||
\(966\) | 0.198914 | − | 2.17127i | 0.00639994 | − | 0.0698594i | ||||
\(967\) | −42.4459 | − | 32.0536i | −1.36497 | − | 1.03078i | −0.994804 | − | 0.101808i | \(-0.967537\pi\) |
−0.370163 | − | 0.928967i | \(-0.620698\pi\) | |||||||
\(968\) | 0.0925683 | − | 0.101543i | 0.00297526 | − | 0.00326370i | ||||
\(969\) | 1.16042 | − | 1.87851i | 0.0372780 | − | 0.0603465i | ||||
\(970\) | −4.39597 | − | 11.3473i | −0.141146 | − | 0.364340i | ||||
\(971\) | 43.3771 | − | 8.10858i | 1.39204 | − | 0.260217i | 0.566266 | − | 0.824222i | \(-0.308387\pi\) |
0.825771 | + | 0.564006i | \(0.190740\pi\) | |||||||
\(972\) | 12.7603 | − | 25.9645i | 0.409285 | − | 0.832813i | ||||
\(973\) | −3.34634 | −0.107279 | ||||||||
\(974\) | −9.33821 | −0.299216 | ||||||||
\(975\) | 13.5085 | + | 2.51060i | 0.432618 | + | 0.0804034i | ||||
\(976\) | −5.62960 | − | 2.18092i | −0.180199 | − | 0.0698095i | ||||
\(977\) | −6.41360 | + | 10.3583i | −0.205189 | + | 0.331392i | −0.936509 | − | 0.350642i | \(-0.885963\pi\) |
0.731320 | + | 0.682034i | \(0.238904\pi\) | |||||||
\(978\) | 0.00152140 | + | 1.45860i | 4.86491e−5 | + | 0.0466410i | ||||
\(979\) | 5.41630 | + | 10.8774i | 0.173106 | + | 0.347643i | ||||
\(980\) | 15.0879 | + | 9.34203i | 0.481965 | + | 0.298420i | ||||
\(981\) | −48.7717 | + | 13.9868i | −1.55716 | + | 0.446564i | ||||
\(982\) | −0.960968 | − | 3.37745i | −0.0306657 | − | 0.107779i | ||||
\(983\) | − | 47.5048i | − | 1.51517i | −0.652737 | − | 0.757585i | \(-0.726379\pi\) | ||
0.652737 | − | 0.757585i | \(-0.273621\pi\) | |||||||
\(984\) | 6.26495 | − | 12.6147i | 0.199719 | − | 0.402141i | ||||
\(985\) | 13.4789 | + | 47.3733i | 0.429472 | + | 1.50944i | ||||
\(986\) | −1.50212 | − | 8.03562i | −0.0478371 | − | 0.255906i | ||||
\(987\) | 3.33468 | − | 36.4002i | 0.106144 | − | 1.15863i | ||||
\(988\) | 0.549784 | − | 5.93311i | 0.0174910 | − | 0.188757i | ||||
\(989\) | −2.89719 | − | 2.64113i | −0.0921251 | − | 0.0839832i | ||||
\(990\) | 0.0197809 | + | 9.48218i | 0.000628679 | + | 0.301364i | ||||
\(991\) | 41.9872 | − | 16.2659i | 1.33377 | − | 0.516704i | 0.414397 | − | 0.910096i | \(-0.363993\pi\) |
0.919371 | + | 0.393392i | \(0.128698\pi\) | |||||||
\(992\) | 20.7717 | − | 12.8613i | 0.659502 | − | 0.408347i | ||||
\(993\) | −14.5503 | − | 15.9275i | −0.461740 | − | 0.505445i | ||||
\(994\) | −0.733083 | − | 3.92165i | −0.0232520 | − | 0.124387i | ||||
\(995\) | −19.1870 | − | 30.9881i | −0.608269 | − | 0.982388i | ||||
\(996\) | 21.5163 | + | 34.6691i | 0.681770 | + | 1.09853i | ||||
\(997\) | −5.99322 | + | 0.555353i | −0.189807 | + | 0.0175882i | −0.186752 | − | 0.982407i | \(-0.559796\pi\) |
−0.00305525 | + | 0.999995i | \(0.500973\pi\) | |||||||
\(998\) | 7.09510 | + | 6.46804i | 0.224591 | + | 0.204742i | ||||
\(999\) | −18.2896 | − | 1.63707i | −0.578656 | − | 0.0517947i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 309.2.k.a.197.19 | yes | 512 | |
3.2 | odd | 2 | inner | 309.2.k.a.197.14 | yes | 512 | |
103.80 | odd | 34 | inner | 309.2.k.a.80.14 | ✓ | 512 | |
309.80 | even | 34 | inner | 309.2.k.a.80.19 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
309.2.k.a.80.14 | ✓ | 512 | 103.80 | odd | 34 | inner | |
309.2.k.a.80.19 | yes | 512 | 309.80 | even | 34 | inner | |
309.2.k.a.197.14 | yes | 512 | 3.2 | odd | 2 | inner | |
309.2.k.a.197.19 | yes | 512 | 1.1 | even | 1 | trivial |