Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(3,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bd (of order \(20\), degree \(8\), 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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 163.52 | ||
Character | \(\chi\) | \(=\) | 400.163 |
Dual form | 400.2.bd.a.27.52 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{19}{20}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.27353 | + | 0.614921i | 0.900520 | + | 0.434815i | ||||
\(3\) | 0.306781 | + | 0.944173i | 0.177120 | + | 0.545119i | 0.999724 | − | 0.0234957i | \(-0.00747962\pi\) |
−0.822604 | + | 0.568615i | \(0.807480\pi\) | |||||||
\(4\) | 1.24374 | + | 1.56624i | 0.621872 | + | 0.783119i | ||||
\(5\) | −0.152971 | − | 2.23083i | −0.0684108 | − | 0.997657i | ||||
\(6\) | −0.189899 | + | 1.39108i | −0.0775259 | + | 0.567905i | ||||
\(7\) | 1.38601 | − | 1.38601i | 0.523861 | − | 0.523861i | −0.394874 | − | 0.918735i | \(-0.629212\pi\) |
0.918735 | + | 0.394874i | \(0.129212\pi\) | |||||||
\(8\) | 0.620829 | + | 2.75945i | 0.219496 | + | 0.975613i | ||||
\(9\) | 1.62970 | − | 1.18405i | 0.543234 | − | 0.394683i | ||||
\(10\) | 1.17697 | − | 2.93509i | 0.372191 | − | 0.928156i | ||||
\(11\) | 0.734974 | + | 4.64044i | 0.221603 | + | 1.39915i | 0.808029 | + | 0.589143i | \(0.200535\pi\) |
−0.586426 | + | 0.810003i | \(0.699465\pi\) | |||||||
\(12\) | −1.09724 | + | 1.65480i | −0.316747 | + | 0.477700i | ||||
\(13\) | −0.701591 | − | 0.965657i | −0.194586 | − | 0.267825i | 0.700564 | − | 0.713590i | \(-0.252932\pi\) |
−0.895150 | + | 0.445765i | \(0.852932\pi\) | |||||||
\(14\) | 2.61740 | − | 0.912832i | 0.699530 | − | 0.243965i | ||||
\(15\) | 2.05936 | − | 0.828806i | 0.531725 | − | 0.213997i | ||||
\(16\) | −0.906203 | + | 3.89600i | −0.226551 | + | 0.973999i | ||||
\(17\) | −0.145513 | − | 0.285585i | −0.0352921 | − | 0.0692646i | 0.872687 | − | 0.488280i | \(-0.162375\pi\) |
−0.907979 | + | 0.419015i | \(0.862375\pi\) | |||||||
\(18\) | 2.80357 | − | 0.505779i | 0.660807 | − | 0.119213i | ||||
\(19\) | −3.33209 | + | 1.69779i | −0.764434 | + | 0.389499i | −0.792315 | − | 0.610113i | \(-0.791124\pi\) |
0.0278806 | + | 0.999611i | \(0.491124\pi\) | |||||||
\(20\) | 3.30375 | − | 3.01417i | 0.738742 | − | 0.673989i | ||||
\(21\) | 1.73383 | + | 0.883430i | 0.378353 | + | 0.192780i | ||||
\(22\) | −1.91750 | + | 6.36168i | −0.408812 | + | 1.35632i | ||||
\(23\) | −0.610038 | − | 3.85163i | −0.127202 | − | 0.803120i | −0.965974 | − | 0.258638i | \(-0.916726\pi\) |
0.838773 | − | 0.544482i | \(-0.183274\pi\) | |||||||
\(24\) | −2.41494 | + | 1.43272i | −0.492948 | + | 0.292452i | ||||
\(25\) | −4.95320 | + | 0.682506i | −0.990640 | + | 0.136501i | ||||
\(26\) | −0.299692 | − | 1.66121i | −0.0587745 | − | 0.325791i | ||||
\(27\) | 4.02739 | + | 2.92607i | 0.775072 | + | 0.563123i | ||||
\(28\) | 3.89465 | + | 0.446979i | 0.736020 | + | 0.0844710i | ||||
\(29\) | −4.20843 | − | 2.14430i | −0.781485 | − | 0.398187i | 0.0172638 | − | 0.999851i | \(-0.494504\pi\) |
−0.798749 | + | 0.601664i | \(0.794504\pi\) | |||||||
\(30\) | 3.13230 | + | 0.210837i | 0.571878 | + | 0.0384934i | ||||
\(31\) | −2.48302 | − | 0.806783i | −0.445964 | − | 0.144902i | 0.0774217 | − | 0.996998i | \(-0.475331\pi\) |
−0.523386 | + | 0.852096i | \(0.675331\pi\) | |||||||
\(32\) | −3.54981 | + | 4.40442i | −0.627523 | + | 0.778598i | ||||
\(33\) | −4.15591 | + | 2.11754i | −0.723451 | + | 0.368616i | ||||
\(34\) | −0.00970230 | − | 0.453180i | −0.00166393 | − | 0.0777197i | ||||
\(35\) | −3.30396 | − | 2.87992i | −0.558471 | − | 0.486796i | ||||
\(36\) | 3.88143 | + | 1.07985i | 0.646905 | + | 0.179975i | ||||
\(37\) | 2.84768 | + | 3.91950i | 0.468156 | + | 0.644361i | 0.976175 | − | 0.216984i | \(-0.0696221\pi\) |
−0.508019 | + | 0.861346i | \(0.669622\pi\) | |||||||
\(38\) | −5.28751 | + | 0.113202i | −0.857748 | + | 0.0183639i | ||||
\(39\) | 0.696513 | − | 0.958668i | 0.111531 | − | 0.153510i | ||||
\(40\) | 6.06090 | − | 1.80708i | 0.958312 | − | 0.285724i | ||||
\(41\) | −5.63784 | − | 7.75983i | −0.880483 | − | 1.21188i | −0.976287 | − | 0.216481i | \(-0.930542\pi\) |
0.0958036 | − | 0.995400i | \(-0.469458\pi\) | |||||||
\(42\) | 1.66484 | + | 2.19124i | 0.256890 | + | 0.338116i | ||||
\(43\) | − | 1.81149i | − | 0.276250i | −0.990415 | − | 0.138125i | \(-0.955892\pi\) | ||
0.990415 | − | 0.138125i | \(-0.0441075\pi\) | |||||||
\(44\) | −6.35392 | + | 6.92267i | −0.957889 | + | 1.04363i | ||||
\(45\) | −2.89071 | − | 3.45446i | −0.430921 | − | 0.514961i | ||||
\(46\) | 1.59155 | − | 5.28028i | 0.234661 | − | 0.778534i | ||||
\(47\) | 0.411115 | − | 0.806858i | 0.0599673 | − | 0.117692i | −0.859078 | − | 0.511845i | \(-0.828962\pi\) |
0.919045 | + | 0.394153i | \(0.128962\pi\) | |||||||
\(48\) | −3.95650 | + | 0.339604i | −0.571072 | + | 0.0490176i | ||||
\(49\) | 3.15798i | 0.451140i | ||||||||
\(50\) | −6.72772 | − | 2.17664i | −0.951444 | − | 0.307823i | ||||
\(51\) | 0.225002 | − | 0.225002i | 0.0315065 | − | 0.0315065i | ||||
\(52\) | 0.639849 | − | 2.29989i | 0.0887312 | − | 0.318937i | ||||
\(53\) | −0.895851 | − | 2.75715i | −0.123055 | − | 0.378723i | 0.870487 | − | 0.492191i | \(-0.163804\pi\) |
−0.993542 | + | 0.113468i | \(0.963804\pi\) | |||||||
\(54\) | 3.32969 | + | 6.20296i | 0.453114 | + | 0.844116i | ||||
\(55\) | 10.2396 | − | 2.34946i | 1.38071 | − | 0.316801i | ||||
\(56\) | 4.68509 | + | 2.96414i | 0.626071 | + | 0.396100i | ||||
\(57\) | −2.62522 | − | 2.62522i | −0.347719 | − | 0.347719i | ||||
\(58\) | −4.04097 | − | 5.31868i | −0.530605 | − | 0.698376i | ||||
\(59\) | 0.704125 | − | 4.44567i | 0.0916692 | − | 0.578777i | −0.898508 | − | 0.438957i | \(-0.855348\pi\) |
0.990177 | − | 0.139819i | \(-0.0446521\pi\) | |||||||
\(60\) | 3.85943 | + | 2.19463i | 0.498250 | + | 0.283325i | ||||
\(61\) | −1.08808 | − | 6.86989i | −0.139315 | − | 0.879600i | −0.954024 | − | 0.299730i | \(-0.903103\pi\) |
0.814709 | − | 0.579870i | \(-0.196897\pi\) | |||||||
\(62\) | −2.66609 | − | 2.55432i | −0.338594 | − | 0.324399i | ||||
\(63\) | 0.617679 | − | 3.89987i | 0.0778202 | − | 0.491338i | ||||
\(64\) | −7.22914 | + | 3.42629i | −0.903643 | + | 0.428287i | ||||
\(65\) | −2.04689 | + | 1.71285i | −0.253886 | + | 0.212453i | ||||
\(66\) | −6.59478 | + | 0.141190i | −0.811762 | + | 0.0173793i | ||||
\(67\) | 10.3502 | + | 3.36299i | 1.26448 | + | 0.410854i | 0.863089 | − | 0.505052i | \(-0.168527\pi\) |
0.401391 | + | 0.915907i | \(0.368527\pi\) | |||||||
\(68\) | 0.266314 | − | 0.583103i | 0.0322953 | − | 0.0707116i | ||||
\(69\) | 3.44946 | − | 1.75759i | 0.415266 | − | 0.211588i | ||||
\(70\) | −2.43676 | − | 5.69934i | −0.291248 | − | 0.681201i | ||||
\(71\) | 3.37752 | + | 10.3949i | 0.400838 | + | 1.23365i | 0.924321 | + | 0.381616i | \(0.124632\pi\) |
−0.523483 | + | 0.852036i | \(0.675368\pi\) | |||||||
\(72\) | 4.27909 | + | 3.76199i | 0.504295 | + | 0.443355i | ||||
\(73\) | 0.821295 | − | 0.130080i | 0.0961253 | − | 0.0152247i | −0.108187 | − | 0.994131i | \(-0.534504\pi\) |
0.204312 | + | 0.978906i | \(0.434504\pi\) | |||||||
\(74\) | 1.21642 | + | 6.74269i | 0.141406 | + | 0.783821i | ||||
\(75\) | −2.16395 | − | 4.46730i | −0.249871 | − | 0.515839i | ||||
\(76\) | −6.80340 | − | 3.10724i | −0.780404 | − | 0.356425i | ||||
\(77\) | 7.45036 | + | 5.41300i | 0.849047 | + | 0.616869i | ||||
\(78\) | 1.47653 | − | 0.792590i | 0.167185 | − | 0.0897431i | ||||
\(79\) | −3.64746 | − | 11.2257i | −0.410372 | − | 1.26299i | −0.916326 | − | 0.400434i | \(-0.868859\pi\) |
0.505954 | − | 0.862561i | \(-0.331141\pi\) | |||||||
\(80\) | 8.82993 | + | 1.42561i | 0.987216 | + | 0.159388i | ||||
\(81\) | 0.340278 | − | 1.04727i | 0.0378087 | − | 0.116363i | ||||
\(82\) | −2.40827 | − | 13.3492i | −0.265949 | − | 1.47417i | ||||
\(83\) | −1.49341 | + | 4.59623i | −0.163923 | + | 0.504502i | −0.998955 | − | 0.0456984i | \(-0.985449\pi\) |
0.835033 | + | 0.550200i | \(0.185449\pi\) | |||||||
\(84\) | 0.772777 | + | 3.81435i | 0.0843169 | + | 0.416180i | ||||
\(85\) | −0.614833 | + | 0.368301i | −0.0666880 | + | 0.0399479i | ||||
\(86\) | 1.11392 | − | 2.30698i | 0.120118 | − | 0.248768i | ||||
\(87\) | 0.733528 | − | 4.63131i | 0.0786425 | − | 0.496529i | ||||
\(88\) | −12.3488 | + | 4.90905i | −1.31638 | + | 0.523306i | ||||
\(89\) | −11.0464 | − | 8.02567i | −1.17091 | − | 0.850719i | −0.179797 | − | 0.983704i | \(-0.557544\pi\) |
−0.991118 | + | 0.132984i | \(0.957544\pi\) | |||||||
\(90\) | −1.55717 | − | 6.17691i | −0.164140 | − | 0.651103i | ||||
\(91\) | −2.31082 | − | 0.365997i | −0.242239 | − | 0.0383669i | ||||
\(92\) | 5.27383 | − | 5.74590i | 0.549835 | − | 0.599052i | ||||
\(93\) | − | 2.59191i | − | 0.268768i | ||||||
\(94\) | 1.01972 | − | 0.774753i | 0.105176 | − | 0.0799096i | ||||
\(95\) | 4.29718 | + | 7.17361i | 0.440882 | + | 0.735997i | ||||
\(96\) | −5.24754 | − | 2.00044i | −0.535575 | − | 0.204169i | ||||
\(97\) | 10.0216 | + | 5.10626i | 1.01754 | + | 0.518462i | 0.881471 | − | 0.472238i | \(-0.156554\pi\) |
0.136067 | + | 0.990700i | \(0.456554\pi\) | |||||||
\(98\) | −1.94191 | + | 4.02177i | −0.196162 | + | 0.406260i | ||||
\(99\) | 6.69229 | + | 6.69229i | 0.672601 | + | 0.672601i | ||||
\(100\) | −7.22948 | − | 6.90903i | −0.722948 | − | 0.690903i | ||||
\(101\) | −11.7977 | + | 11.7977i | −1.17391 | + | 1.17391i | −0.192645 | + | 0.981268i | \(0.561707\pi\) |
−0.981268 | + | 0.192645i | \(0.938293\pi\) | |||||||
\(102\) | 0.424904 | − | 0.148187i | 0.0420717 | − | 0.0146727i | ||||
\(103\) | 7.42019 | − | 14.5629i | 0.731133 | − | 1.43493i | −0.162767 | − | 0.986664i | \(-0.552042\pi\) |
0.893901 | − | 0.448265i | \(-0.147958\pi\) | |||||||
\(104\) | 2.22912 | − | 2.53551i | 0.218583 | − | 0.248628i | ||||
\(105\) | 1.70556 | − | 4.00302i | 0.166445 | − | 0.390654i | ||||
\(106\) | 0.554537 | − | 4.06218i | 0.0538614 | − | 0.394554i | ||||
\(107\) | −5.53294 | −0.534890 | −0.267445 | − | 0.963573i | \(-0.586179\pi\) | ||||
−0.267445 | + | 0.963573i | \(0.586179\pi\) | |||||||
\(108\) | 0.426120 | + | 9.94714i | 0.0410034 | + | 0.957164i | ||||
\(109\) | −1.43622 | + | 9.06791i | −0.137564 | + | 0.868548i | 0.818311 | + | 0.574776i | \(0.194911\pi\) |
−0.955875 | + | 0.293772i | \(0.905089\pi\) | |||||||
\(110\) | 14.4851 | + | 3.30445i | 1.38110 | + | 0.315067i | ||||
\(111\) | −2.82707 | + | 3.89113i | −0.268334 | + | 0.369330i | ||||
\(112\) | 4.14387 | + | 6.65588i | 0.391559 | + | 0.628921i | ||||
\(113\) | −18.4693 | − | 2.92525i | −1.73745 | − | 0.275185i | −0.794292 | − | 0.607536i | \(-0.792158\pi\) |
−0.943156 | + | 0.332351i | \(0.892158\pi\) | |||||||
\(114\) | −1.72899 | − | 4.95760i | −0.161935 | − | 0.464322i | ||||
\(115\) | −8.49900 | + | 1.95008i | −0.792536 | + | 0.181846i | ||||
\(116\) | −1.87572 | − | 9.25836i | −0.174156 | − | 0.859617i | ||||
\(117\) | −2.28677 | − | 0.743016i | −0.211412 | − | 0.0686919i | ||||
\(118\) | 3.63046 | − | 5.22870i | 0.334211 | − | 0.481341i | ||||
\(119\) | −0.597505 | − | 0.194141i | −0.0547732 | − | 0.0177969i | ||||
\(120\) | 3.56556 | + | 5.16816i | 0.325490 | + | 0.471786i | ||||
\(121\) | −10.5319 | + | 3.42202i | −0.957446 | + | 0.311093i | ||||
\(122\) | 2.83874 | − | 9.41808i | 0.257007 | − | 0.852673i | ||||
\(123\) | 5.59704 | − | 7.70367i | 0.504668 | − | 0.694616i | ||||
\(124\) | −1.82463 | − | 4.89243i | −0.163857 | − | 0.439354i | ||||
\(125\) | 2.28025 | + | 10.9453i | 0.203952 | + | 0.978981i | ||||
\(126\) | 3.18475 | − | 4.58677i | 0.283720 | − | 0.408622i | ||||
\(127\) | 3.23940 | + | 20.4528i | 0.287450 | + | 1.81489i | 0.533690 | + | 0.845680i | \(0.320805\pi\) |
−0.246240 | + | 0.969209i | \(0.579195\pi\) | |||||||
\(128\) | −11.3134 | − | 0.0818748i | −0.999974 | − | 0.00723678i | ||||
\(129\) | 1.71036 | − | 0.555730i | 0.150589 | − | 0.0489293i | ||||
\(130\) | −3.66004 | + | 0.922680i | −0.321007 | + | 0.0809244i | ||||
\(131\) | 0.842336 | + | 1.65318i | 0.0735952 | + | 0.144439i | 0.924872 | − | 0.380277i | \(-0.124171\pi\) |
−0.851277 | + | 0.524716i | \(0.824171\pi\) | |||||||
\(132\) | −8.48546 | − | 3.87546i | −0.738564 | − | 0.337316i | ||||
\(133\) | −2.26516 | + | 6.97144i | −0.196414 | + | 0.604500i | ||||
\(134\) | 11.1133 | + | 10.6474i | 0.960043 | + | 0.919797i | ||||
\(135\) | 5.91149 | − | 9.43203i | 0.508780 | − | 0.811780i | ||||
\(136\) | 0.697720 | − | 0.578836i | 0.0598290 | − | 0.0496347i | ||||
\(137\) | 7.58886 | + | 1.20196i | 0.648360 | + | 0.102690i | 0.471948 | − | 0.881626i | \(-0.343551\pi\) |
0.176412 | + | 0.984316i | \(0.443551\pi\) | |||||||
\(138\) | 5.47375 | − | 0.117190i | 0.465957 | − | 0.00997585i | ||||
\(139\) | −7.39015 | + | 1.17049i | −0.626825 | + | 0.0992793i | −0.461762 | − | 0.887004i | \(-0.652783\pi\) |
−0.165063 | + | 0.986283i | \(0.552783\pi\) | |||||||
\(140\) | 0.401364 | − | 8.75667i | 0.0339214 | − | 0.740074i | ||||
\(141\) | 0.887936 | + | 0.140635i | 0.0747777 | + | 0.0118436i | ||||
\(142\) | −2.09070 | + | 15.3151i | −0.175448 | + | 1.28522i | ||||
\(143\) | 3.96543 | − | 3.96543i | 0.331606 | − | 0.331606i | ||||
\(144\) | 3.13621 | + | 7.42230i | 0.261351 | + | 0.618525i | ||||
\(145\) | −4.13980 | + | 9.71630i | −0.343792 | + | 0.806895i | ||||
\(146\) | 1.12593 | + | 0.339371i | 0.0931827 | + | 0.0280865i | ||||
\(147\) | −2.98168 | + | 0.968806i | −0.245925 | + | 0.0799058i | ||||
\(148\) | −2.59708 | + | 9.33500i | −0.213479 | + | 0.767332i | ||||
\(149\) | −1.96997 | − | 1.96997i | −0.161386 | − | 0.161386i | 0.621795 | − | 0.783180i | \(-0.286404\pi\) |
−0.783180 | + | 0.621795i | \(0.786404\pi\) | |||||||
\(150\) | −0.00881067 | − | 7.01989i | −0.000719388 | − | 0.573171i | ||||
\(151\) | 10.8968 | 0.886768 | 0.443384 | − | 0.896332i | \(-0.353778\pi\) | ||||
0.443384 | + | 0.896332i | \(0.353778\pi\) | |||||||
\(152\) | −6.75361 | − | 8.14071i | −0.547790 | − | 0.660299i | ||||
\(153\) | −0.575289 | − | 0.293125i | −0.0465094 | − | 0.0236977i | ||||
\(154\) | 6.15966 | + | 11.4750i | 0.496360 | + | 0.924681i | ||||
\(155\) | −1.41996 | + | 5.66261i | −0.114054 | + | 0.454832i | ||||
\(156\) | 2.36779 | − | 0.101432i | 0.189575 | − | 0.00812108i | ||||
\(157\) | 16.2281 | 1.29515 | 0.647573 | − | 0.762003i | \(-0.275784\pi\) | ||||
0.647573 | + | 0.762003i | \(0.275784\pi\) | |||||||
\(158\) | 2.25780 | − | 16.5392i | 0.179621 | − | 1.31579i | ||||
\(159\) | 2.32839 | − | 1.69168i | 0.184654 | − | 0.134159i | ||||
\(160\) | 10.3685 | + | 7.24526i | 0.819703 | + | 0.572788i | ||||
\(161\) | −6.18389 | − | 4.49286i | −0.487359 | − | 0.354087i | ||||
\(162\) | 1.07734 | − | 1.12448i | 0.0846439 | − | 0.0883476i | ||||
\(163\) | −2.04368 | + | 1.48482i | −0.160073 | + | 0.116300i | −0.664938 | − | 0.746898i | \(-0.731542\pi\) |
0.504865 | + | 0.863198i | \(0.331542\pi\) | |||||||
\(164\) | 5.14170 | − | 18.4814i | 0.401499 | − | 1.44316i | ||||
\(165\) | 5.35961 | + | 8.94720i | 0.417245 | + | 0.696538i | ||||
\(166\) | −4.72821 | + | 4.93510i | −0.366981 | + | 0.383038i | ||||
\(167\) | −9.45016 | − | 18.5470i | −0.731275 | − | 1.43521i | −0.893782 | − | 0.448501i | \(-0.851958\pi\) |
0.162507 | − | 0.986707i | \(-0.448042\pi\) | |||||||
\(168\) | −1.36137 | + | 5.33288i | −0.105032 | + | 0.411440i | ||||
\(169\) | 3.57696 | − | 11.0087i | 0.275151 | − | 0.846826i | ||||
\(170\) | −1.00948 | + | 0.0909677i | −0.0774238 | + | 0.00697690i | ||||
\(171\) | −3.42006 | + | 6.71224i | −0.261538 | + | 0.513298i | ||||
\(172\) | 2.83723 | − | 2.25303i | 0.216336 | − | 0.171792i | ||||
\(173\) | 11.7371 | − | 16.1548i | 0.892358 | − | 1.22823i | −0.0804843 | − | 0.996756i | \(-0.525647\pi\) |
0.972842 | − | 0.231469i | \(-0.0743533\pi\) | |||||||
\(174\) | 3.78206 | − | 5.44704i | 0.286717 | − | 0.412939i | ||||
\(175\) | −5.91921 | + | 7.81112i | −0.447450 | + | 0.590465i | ||||
\(176\) | −18.7452 | − | 1.34173i | −1.41297 | − | 0.101136i | ||||
\(177\) | 4.41349 | − | 0.699029i | 0.331738 | − | 0.0525422i | ||||
\(178\) | −9.13272 | − | 17.0136i | −0.684527 | − | 1.27522i | ||||
\(179\) | −11.1548 | + | 21.8925i | −0.833748 | + | 1.63632i | −0.0640227 | + | 0.997948i | \(0.520393\pi\) |
−0.769726 | + | 0.638375i | \(0.779607\pi\) | |||||||
\(180\) | 1.81521 | − | 8.82400i | 0.135298 | − | 0.657702i | ||||
\(181\) | 1.25473 | + | 2.46254i | 0.0932633 | + | 0.183040i | 0.932925 | − | 0.360070i | \(-0.117247\pi\) |
−0.839662 | + | 0.543109i | \(0.817247\pi\) | |||||||
\(182\) | −2.71783 | − | 1.88708i | −0.201459 | − | 0.139879i | ||||
\(183\) | 6.15257 | − | 3.13489i | 0.454811 | − | 0.231738i | ||||
\(184\) | 10.2496 | − | 4.07457i | 0.755614 | − | 0.300381i | ||||
\(185\) | 8.30812 | − | 6.95226i | 0.610825 | − | 0.511140i | ||||
\(186\) | 1.59382 | − | 3.30087i | 0.116865 | − | 0.242031i | ||||
\(187\) | 1.21829 | − | 0.885143i | 0.0890905 | − | 0.0647280i | ||||
\(188\) | 1.77505 | − | 0.359621i | 0.129459 | − | 0.0262281i | ||||
\(189\) | 9.63754 | − | 1.52644i | 0.701028 | − | 0.111032i | ||||
\(190\) | 1.06137 | + | 11.7782i | 0.0770001 | + | 0.854482i | ||||
\(191\) | 8.63786 | + | 11.8890i | 0.625014 | + | 0.860258i | 0.997706 | − | 0.0676972i | \(-0.0215652\pi\) |
−0.372692 | + | 0.927955i | \(0.621565\pi\) | |||||||
\(192\) | −5.45278 | − | 5.77444i | −0.393520 | − | 0.416735i | ||||
\(193\) | 12.1864 | + | 12.1864i | 0.877197 | + | 0.877197i | 0.993244 | − | 0.116047i | \(-0.0370222\pi\) |
−0.116047 | + | 0.993244i | \(0.537022\pi\) | |||||||
\(194\) | 9.62283 | + | 12.6654i | 0.690879 | + | 0.909326i | ||||
\(195\) | −2.24517 | − | 1.40715i | −0.160780 | − | 0.100768i | ||||
\(196\) | −4.94614 | + | 3.92772i | −0.353296 | + | 0.280551i | ||||
\(197\) | 5.65127 | − | 1.83621i | 0.402636 | − | 0.130824i | −0.100696 | − | 0.994917i | \(-0.532107\pi\) |
0.503332 | + | 0.864093i | \(0.332107\pi\) | |||||||
\(198\) | 4.40759 | + | 12.6381i | 0.313233 | + | 0.898147i | ||||
\(199\) | 20.5875i | 1.45941i | 0.683761 | + | 0.729706i | \(0.260343\pi\) | ||||
−0.683761 | + | 0.729706i | \(0.739657\pi\) | |||||||
\(200\) | −4.95843 | − | 13.2444i | −0.350614 | − | 0.936520i | ||||
\(201\) | 10.8041i | 0.762062i | ||||||||
\(202\) | −22.2793 | + | 7.77003i | −1.56757 | + | 0.546697i | ||||
\(203\) | −8.80491 | + | 2.86089i | −0.617984 | + | 0.200795i | ||||
\(204\) | 0.632250 | + | 0.0725617i | 0.0442664 | + | 0.00508033i | ||||
\(205\) | −16.4484 | + | 13.7641i | −1.14881 | + | 0.961326i | ||||
\(206\) | 18.4049 | − | 13.9835i | 1.28233 | − | 0.974275i | ||||
\(207\) | −5.55469 | − | 5.55469i | −0.386078 | − | 0.386078i | ||||
\(208\) | 4.39798 | − | 1.85832i | 0.304945 | − | 0.128851i | ||||
\(209\) | −10.3275 | − | 14.2146i | −0.714366 | − | 0.983241i | ||||
\(210\) | 4.63361 | − | 4.04917i | 0.319750 | − | 0.279419i | ||||
\(211\) | 12.2417 | − | 1.93889i | 0.842753 | − | 0.133479i | 0.279893 | − | 0.960031i | \(-0.409701\pi\) |
0.562860 | + | 0.826552i | \(0.309701\pi\) | |||||||
\(212\) | 3.20414 | − | 4.83230i | 0.220061 | − | 0.331884i | ||||
\(213\) | −8.77847 | + | 6.37793i | −0.601491 | + | 0.437009i | ||||
\(214\) | −7.04635 | − | 3.40232i | −0.481679 | − | 0.232578i | ||||
\(215\) | −4.04113 | + | 0.277106i | −0.275603 | + | 0.0188985i | ||||
\(216\) | −5.57403 | + | 12.9300i | −0.379265 | + | 0.879774i | ||||
\(217\) | −4.55969 | + | 2.32328i | −0.309532 | + | 0.157714i | ||||
\(218\) | −7.40511 | + | 10.6651i | −0.501537 | + | 0.722330i | ||||
\(219\) | 0.374776 | + | 0.735539i | 0.0253250 | + | 0.0497031i | ||||
\(220\) | 16.4153 | + | 13.1155i | 1.10672 | + | 0.884249i | ||||
\(221\) | −0.173687 | + | 0.340880i | −0.0116834 | + | 0.0229301i | ||||
\(222\) | −5.99309 | + | 3.21703i | −0.402230 | + | 0.215913i | ||||
\(223\) | 8.52940 | − | 1.35092i | 0.571171 | − | 0.0904646i | 0.135833 | − | 0.990732i | \(-0.456629\pi\) |
0.435338 | + | 0.900267i | \(0.356629\pi\) | |||||||
\(224\) | 1.18450 | + | 11.0246i | 0.0791424 | + | 0.736612i | ||||
\(225\) | −7.26412 | + | 6.97711i | −0.484275 | + | 0.465140i | ||||
\(226\) | −21.7224 | − | 15.0826i | −1.44495 | − | 1.00328i | ||||
\(227\) | −7.96641 | + | 10.9648i | −0.528749 | + | 0.727760i | −0.986939 | − | 0.161094i | \(-0.948498\pi\) |
0.458190 | + | 0.888854i | \(0.348498\pi\) | |||||||
\(228\) | 0.846620 | − | 7.37683i | 0.0560687 | − | 0.488543i | ||||
\(229\) | −7.89114 | + | 15.4872i | −0.521461 | + | 1.02343i | 0.468682 | + | 0.883367i | \(0.344729\pi\) |
−0.990143 | + | 0.140058i | \(0.955271\pi\) | |||||||
\(230\) | −12.0229 | − | 2.74274i | −0.792764 | − | 0.180851i | ||||
\(231\) | −2.82519 | + | 8.69503i | −0.185884 | + | 0.572091i | ||||
\(232\) | 3.30438 | − | 12.9442i | 0.216943 | − | 0.849828i | ||||
\(233\) | −6.90598 | − | 13.5537i | −0.452426 | − | 0.887936i | −0.998732 | − | 0.0503498i | \(-0.983966\pi\) |
0.546306 | − | 0.837586i | \(-0.316034\pi\) | |||||||
\(234\) | −2.45537 | − | 2.35243i | −0.160512 | − | 0.153783i | ||||
\(235\) | −1.86285 | − | 0.793701i | −0.121519 | − | 0.0517753i | ||||
\(236\) | 7.83872 | − | 4.42645i | 0.510258 | − | 0.288137i | ||||
\(237\) | 9.48008 | − | 6.88768i | 0.615797 | − | 0.447403i | ||||
\(238\) | −0.641557 | − | 0.614662i | −0.0415860 | − | 0.0398426i | ||||
\(239\) | −3.48534 | − | 2.53225i | −0.225448 | − | 0.163798i | 0.469328 | − | 0.883024i | \(-0.344496\pi\) |
−0.694776 | + | 0.719227i | \(0.744496\pi\) | |||||||
\(240\) | 1.36283 | + | 8.77433i | 0.0879702 | + | 0.566381i | ||||
\(241\) | 16.0692 | − | 11.6750i | 1.03511 | − | 0.752052i | 0.0657853 | − | 0.997834i | \(-0.479045\pi\) |
0.969325 | + | 0.245782i | \(0.0790447\pi\) | |||||||
\(242\) | −15.5169 | − | 2.11825i | −0.997467 | − | 0.136166i | ||||
\(243\) | 16.0276 | 1.02817 | ||||||||
\(244\) | 9.40659 | − | 10.2486i | 0.602195 | − | 0.656098i | ||||
\(245\) | 7.04491 | − | 0.483080i | 0.450083 | − | 0.0308628i | ||||
\(246\) | 11.8651 | − | 6.36909i | 0.756493 | − | 0.406078i | ||||
\(247\) | 3.97724 | + | 2.02651i | 0.253066 | + | 0.128944i | ||||
\(248\) | 0.684746 | − | 7.35265i | 0.0434814 | − | 0.466894i | ||||
\(249\) | −4.79779 | −0.304047 | ||||||||
\(250\) | −3.82656 | + | 15.3414i | −0.242013 | + | 0.970273i | ||||
\(251\) | 11.1560 | + | 11.1560i | 0.704160 | + | 0.704160i | 0.965301 | − | 0.261140i | \(-0.0840986\pi\) |
−0.261140 | + | 0.965301i | \(0.584099\pi\) | |||||||
\(252\) | 6.87636 | − | 3.88301i | 0.433170 | − | 0.244607i | ||||
\(253\) | 17.4249 | − | 5.66169i | 1.09549 | − | 0.355947i | ||||
\(254\) | −8.45137 | + | 28.0391i | −0.530286 | + | 1.75933i | ||||
\(255\) | −0.536359 | − | 0.467521i | −0.0335881 | − | 0.0292773i | ||||
\(256\) | −14.3576 | − | 7.06113i | −0.897350 | − | 0.441320i | ||||
\(257\) | 15.5816 | − | 15.5816i | 0.971953 | − | 0.971953i | −0.0276639 | − | 0.999617i | \(-0.508807\pi\) |
0.999617 | + | 0.0276639i | \(0.00880682\pi\) | |||||||
\(258\) | 2.51992 | + | 0.344000i | 0.156884 | + | 0.0214165i | ||||
\(259\) | 9.37935 | + | 1.48554i | 0.582804 | + | 0.0923071i | ||||
\(260\) | −5.22854 | − | 1.07558i | −0.324260 | − | 0.0667045i | ||||
\(261\) | −9.39743 | + | 1.48841i | −0.581687 | + | 0.0921301i | ||||
\(262\) | 0.0561640 | + | 2.62334i | 0.00346982 | + | 0.162070i | ||||
\(263\) | 4.69486 | + | 0.743593i | 0.289498 | + | 0.0458519i | 0.299494 | − | 0.954098i | \(-0.403182\pi\) |
−0.00999660 | + | 0.999950i | \(0.503182\pi\) | |||||||
\(264\) | −8.42336 | − | 10.1534i | −0.518422 | − | 0.624898i | ||||
\(265\) | −6.01368 | + | 2.42026i | −0.369418 | + | 0.148675i | ||||
\(266\) | −7.17162 | + | 7.48542i | −0.439720 | + | 0.458961i | ||||
\(267\) | 4.18881 | − | 12.8918i | 0.256351 | − | 0.788967i | ||||
\(268\) | 7.60577 | + | 20.3936i | 0.464597 | + | 1.24574i | ||||
\(269\) | 10.1536 | + | 19.9276i | 0.619076 | + | 1.21500i | 0.961330 | + | 0.275398i | \(0.0888095\pi\) |
−0.342254 | + | 0.939607i | \(0.611190\pi\) | |||||||
\(270\) | 13.3284 | − | 8.37685i | 0.811141 | − | 0.509799i | ||||
\(271\) | −6.16425 | + | 2.00289i | −0.374451 | + | 0.121667i | −0.490196 | − | 0.871612i | \(-0.663075\pi\) |
0.115744 | + | 0.993279i | \(0.463075\pi\) | |||||||
\(272\) | 1.24450 | − | 0.308120i | 0.0754591 | − | 0.0186825i | ||||
\(273\) | −0.363348 | − | 2.29409i | −0.0219908 | − | 0.138845i | ||||
\(274\) | 8.92552 | + | 6.19728i | 0.539210 | + | 0.374391i | ||||
\(275\) | −6.80760 | − | 22.4834i | −0.410514 | − | 1.35580i | ||||
\(276\) | 7.04304 | + | 3.21668i | 0.423941 | + | 0.193622i | ||||
\(277\) | 10.7275 | − | 14.7652i | 0.644556 | − | 0.887155i | −0.354292 | − | 0.935135i | \(-0.615278\pi\) |
0.998848 | + | 0.0479796i | \(0.0152782\pi\) | |||||||
\(278\) | −10.1313 | − | 3.05372i | −0.607636 | − | 0.183150i | ||||
\(279\) | −5.00185 | + | 1.62520i | −0.299453 | + | 0.0972982i | ||||
\(280\) | 5.89581 | − | 10.9051i | 0.352342 | − | 0.651702i | ||||
\(281\) | 26.7654 | + | 8.69660i | 1.59669 | + | 0.518796i | 0.966286 | − | 0.257472i | \(-0.0828894\pi\) |
0.630404 | + | 0.776268i | \(0.282889\pi\) | |||||||
\(282\) | 1.04433 | + | 0.725114i | 0.0621890 | + | 0.0431799i | ||||
\(283\) | 19.8757 | + | 6.45799i | 1.18149 | + | 0.383888i | 0.832918 | − | 0.553396i | \(-0.186668\pi\) |
0.348567 | + | 0.937284i | \(0.386668\pi\) | |||||||
\(284\) | −12.0802 | + | 18.2186i | −0.716827 | + | 1.08108i | ||||
\(285\) | −5.45484 | + | 6.25801i | −0.323117 | + | 0.370693i | ||||
\(286\) | 7.48850 | − | 2.61165i | 0.442804 | − | 0.154430i | ||||
\(287\) | −18.5692 | − | 2.94108i | −1.09611 | − | 0.173606i | ||||
\(288\) | −0.570086 | + | 11.3810i | −0.0335926 | + | 0.670633i | ||||
\(289\) | 9.93196 | − | 13.6702i | 0.584233 | − | 0.804128i | ||||
\(290\) | −11.2469 | + | 9.82832i | −0.660441 | + | 0.577139i | ||||
\(291\) | −1.74676 | + | 11.0286i | −0.102397 | + | 0.646509i | ||||
\(292\) | 1.22522 | + | 1.12456i | 0.0717004 | + | 0.0658097i | ||||
\(293\) | 16.1402 | 0.942922 | 0.471461 | − | 0.881887i | \(-0.343727\pi\) | ||||
0.471461 | + | 0.881887i | \(0.343727\pi\) | |||||||
\(294\) | −4.39299 | − | 0.599696i | −0.256204 | − | 0.0349750i | ||||
\(295\) | −10.0252 | − | 0.890722i | −0.583692 | − | 0.0518599i | ||||
\(296\) | −9.04774 | + | 10.2914i | −0.525889 | + | 0.598174i | ||||
\(297\) | −10.6182 | + | 20.8395i | −0.616133 | + | 1.20923i | ||||
\(298\) | −1.29743 | − | 3.72018i | −0.0751582 | − | 0.215504i | ||||
\(299\) | −3.29135 | + | 3.29135i | −0.190344 | + | 0.190344i | ||||
\(300\) | 4.30546 | − | 8.94544i | 0.248576 | − | 0.516465i | ||||
\(301\) | −2.51074 | − | 2.51074i | −0.144716 | − | 0.144716i | ||||
\(302\) | 13.8774 | + | 6.70066i | 0.798552 | + | 0.385580i | ||||
\(303\) | −14.7584 | − | 7.51976i | −0.847846 | − | 0.431999i | ||||
\(304\) | −3.59502 | − | 14.5204i | −0.206188 | − | 0.832800i | ||||
\(305\) | −15.1591 | + | 3.47823i | −0.868008 | + | 0.199163i | ||||
\(306\) | −0.552398 | − | 0.727060i | −0.0315785 | − | 0.0415632i | ||||
\(307\) | 1.97972i | 0.112988i | 0.998403 | + | 0.0564942i | \(0.0179923\pi\) | ||||
−0.998403 | + | 0.0564942i | \(0.982008\pi\) | |||||||
\(308\) | 0.788287 | + | 18.4014i | 0.0449168 | + | 1.04852i | ||||
\(309\) | 16.0263 | + | 2.53832i | 0.911705 | + | 0.144400i | ||||
\(310\) | −5.29042 | + | 6.33833i | −0.300476 | + | 0.359993i | ||||
\(311\) | −15.8156 | − | 11.4907i | −0.896822 | − | 0.651580i | 0.0408255 | − | 0.999166i | \(-0.487001\pi\) |
−0.937648 | + | 0.347587i | \(0.887001\pi\) | |||||||
\(312\) | 3.07781 | + | 1.32683i | 0.174247 | + | 0.0751167i | ||||
\(313\) | 0.128085 | − | 0.808694i | 0.00723977 | − | 0.0457101i | −0.983804 | − | 0.179248i | \(-0.942634\pi\) |
0.991044 | + | 0.133538i | \(0.0426337\pi\) | |||||||
\(314\) | 20.6670 | + | 9.97902i | 1.16630 | + | 0.563149i | ||||
\(315\) | −8.79444 | − | 0.781368i | −0.495510 | − | 0.0440251i | ||||
\(316\) | 13.0457 | − | 19.6747i | 0.733876 | − | 1.10679i | ||||
\(317\) | −2.87444 | + | 8.84661i | −0.161444 | + | 0.496875i | −0.998757 | − | 0.0498501i | \(-0.984126\pi\) |
0.837312 | + | 0.546725i | \(0.184126\pi\) | |||||||
\(318\) | 4.00552 | − | 0.722619i | 0.224619 | − | 0.0405224i | ||||
\(319\) | 6.85742 | − | 21.1050i | 0.383942 | − | 1.18165i | ||||
\(320\) | 8.74933 | + | 15.6029i | 0.489102 | + | 0.872226i | ||||
\(321\) | −1.69740 | − | 5.22406i | −0.0947395 | − | 0.291578i | ||||
\(322\) | −5.11260 | − | 9.52439i | −0.284914 | − | 0.530773i | ||||
\(323\) | 0.969725 | + | 0.704547i | 0.0539569 | + | 0.0392020i | ||||
\(324\) | 2.06349 | − | 0.769577i | 0.114638 | − | 0.0427543i | ||||
\(325\) | 4.13419 | + | 4.30425i | 0.229323 | + | 0.238757i | ||||
\(326\) | −3.51572 | + | 0.634256i | −0.194718 | + | 0.0351282i | ||||
\(327\) | −9.00228 | + | 1.42582i | −0.497827 | + | 0.0788481i | ||||
\(328\) | 17.9127 | − | 20.3749i | 0.989065 | − | 1.12501i | ||||
\(329\) | −0.548502 | − | 1.68812i | −0.0302399 | − | 0.0930689i | ||||
\(330\) | 1.32378 | + | 14.6902i | 0.0728719 | + | 0.808671i | ||||
\(331\) | −21.4639 | + | 10.9364i | −1.17976 | + | 0.601119i | −0.930133 | − | 0.367222i | \(-0.880309\pi\) |
−0.249629 | + | 0.968341i | \(0.580309\pi\) | |||||||
\(332\) | −9.05621 | + | 3.37750i | −0.497024 | + | 0.185365i | ||||
\(333\) | 9.28174 | + | 3.01582i | 0.508636 | + | 0.165266i | ||||
\(334\) | −0.630104 | − | 29.4312i | −0.0344777 | − | 1.61040i | ||||
\(335\) | 5.91897 | − | 23.6040i | 0.323388 | − | 1.28962i | ||||
\(336\) | −5.01304 | + | 5.95443i | −0.273484 | + | 0.324841i | ||||
\(337\) | −5.44593 | + | 34.3842i | −0.296659 | + | 1.87303i | 0.165468 | + | 0.986215i | \(0.447087\pi\) |
−0.462126 | + | 0.886814i | \(0.652913\pi\) | |||||||
\(338\) | 11.3249 | − | 11.8204i | 0.615991 | − | 0.642944i | ||||
\(339\) | −2.90408 | − | 18.3357i | −0.157728 | − | 0.995856i | ||||
\(340\) | −1.34154 | − | 0.504902i | −0.0727553 | − | 0.0273822i | ||||
\(341\) | 1.91887 | − | 12.1153i | 0.103913 | − | 0.656079i | ||||
\(342\) | −8.48303 | + | 6.44515i | −0.458710 | + | 0.348514i | ||||
\(343\) | 14.0790 | + | 14.0790i | 0.760195 | + | 0.760195i | ||||
\(344\) | 4.99872 | − | 1.12463i | 0.269513 | − | 0.0606357i | ||||
\(345\) | −4.44854 | − | 7.42629i | −0.239501 | − | 0.399818i | ||||
\(346\) | 24.8815 | − | 13.3561i | 1.33764 | − | 0.718031i | ||||
\(347\) | −11.0465 | − | 33.9976i | −0.593007 | − | 1.82509i | −0.564409 | − | 0.825496i | \(-0.690896\pi\) |
−0.0285979 | − | 0.999591i | \(-0.509104\pi\) | |||||||
\(348\) | 8.16606 | − | 4.61129i | 0.437747 | − | 0.247191i | ||||
\(349\) | 19.5195 | − | 19.5195i | 1.04486 | − | 1.04486i | 0.0459107 | − | 0.998946i | \(-0.485381\pi\) |
0.998946 | − | 0.0459107i | \(-0.0146190\pi\) | |||||||
\(350\) | −12.3415 | + | 6.30783i | −0.659680 | + | 0.337168i | ||||
\(351\) | − | 5.94199i | − | 0.317160i | ||||||
\(352\) | −23.0475 | − | 13.2355i | −1.22843 | − | 0.705457i | ||||
\(353\) | −11.0213 | + | 21.6306i | −0.586607 | + | 1.15128i | 0.386793 | + | 0.922167i | \(0.373583\pi\) |
−0.973400 | + | 0.229114i | \(0.926417\pi\) | |||||||
\(354\) | 6.05055 | + | 1.82372i | 0.321583 | + | 0.0969295i | ||||
\(355\) | 22.6727 | − | 9.12480i | 1.20334 | − | 0.484294i | ||||
\(356\) | −1.16877 | − | 27.2832i | −0.0619445 | − | 1.44600i | ||||
\(357\) | − | 0.623707i | − | 0.0330101i | ||||||
\(358\) | −27.6681 | + | 21.0214i | −1.46230 | + | 1.11102i | ||||
\(359\) | −15.1507 | − | 20.8531i | −0.799621 | − | 1.10058i | −0.992843 | − | 0.119429i | \(-0.961894\pi\) |
0.193222 | − | 0.981155i | \(-0.438106\pi\) | |||||||
\(360\) | 7.73778 | − | 10.1214i | 0.407817 | − | 0.533444i | ||||
\(361\) | −2.94756 | + | 4.05697i | −0.155135 | + | 0.213525i | ||||
\(362\) | 0.0836610 | + | 3.90768i | 0.00439712 | + | 0.205383i | ||||
\(363\) | −6.46197 | − | 8.89413i | −0.339165 | − | 0.466821i | ||||
\(364\) | −2.30082 | − | 4.07449i | −0.120596 | − | 0.213561i | ||||
\(365\) | −0.415821 | − | 1.81227i | −0.0217651 | − | 0.0948585i | ||||
\(366\) | 9.76317 | − | 0.209023i | 0.510329 | − | 0.0109258i | ||||
\(367\) | −17.7776 | + | 9.05815i | −0.927984 | + | 0.472831i | −0.851568 | − | 0.524245i | \(-0.824348\pi\) |
−0.0764162 | + | 0.997076i | \(0.524348\pi\) | |||||||
\(368\) | 15.5587 | + | 1.11365i | 0.811056 | + | 0.0580530i | ||||
\(369\) | −18.3760 | − | 5.97073i | −0.956617 | − | 0.310824i | ||||
\(370\) | 14.8557 | − | 3.74506i | 0.772311 | − | 0.194696i | ||||
\(371\) | −5.06307 | − | 2.57977i | −0.262862 | − | 0.133935i | ||||
\(372\) | 4.05955 | − | 3.22367i | 0.210478 | − | 0.167140i | ||||
\(373\) | −23.5726 | − | 17.1265i | −1.22054 | − | 0.886778i | −0.224400 | − | 0.974497i | \(-0.572042\pi\) |
−0.996145 | + | 0.0877195i | \(0.972042\pi\) | |||||||
\(374\) | 2.09582 | − | 0.378098i | 0.108372 | − | 0.0195510i | ||||
\(375\) | −9.63476 | + | 5.51077i | −0.497537 | + | 0.284575i | ||||
\(376\) | 2.48172 | + | 0.633530i | 0.127985 | + | 0.0326718i | ||||
\(377\) | 0.881935 | + | 5.56832i | 0.0454220 | + | 0.286783i | ||||
\(378\) | 13.2123 | + | 3.98237i | 0.679568 | + | 0.204831i | ||||
\(379\) | −9.05712 | − | 4.61483i | −0.465233 | − | 0.237048i | 0.205629 | − | 0.978630i | \(-0.434076\pi\) |
−0.670862 | + | 0.741582i | \(0.734076\pi\) | |||||||
\(380\) | −5.89099 | + | 15.6525i | −0.302201 | + | 0.802959i | ||||
\(381\) | −18.3172 | + | 9.33306i | −0.938417 | + | 0.478147i | ||||
\(382\) | 3.68976 | + | 20.4526i | 0.188784 | + | 1.04644i | ||||
\(383\) | −1.59565 | − | 3.13165i | −0.0815341 | − | 0.160020i | 0.846640 | − | 0.532166i | \(-0.178622\pi\) |
−0.928174 | + | 0.372147i | \(0.878622\pi\) | |||||||
\(384\) | −3.39343 | − | 10.7069i | −0.173170 | − | 0.546386i | ||||
\(385\) | 10.9358 | − | 17.4485i | 0.557340 | − | 0.889258i | ||||
\(386\) | 8.02605 | + | 23.0134i | 0.408515 | + | 1.17135i | ||||
\(387\) | −2.14489 | − | 2.95219i | −0.109031 | − | 0.150068i | ||||
\(388\) | 4.46668 | + | 22.0471i | 0.226761 | + | 1.11927i | ||||
\(389\) | −4.53896 | − | 28.6579i | −0.230135 | − | 1.45301i | −0.784184 | − | 0.620528i | \(-0.786918\pi\) |
0.554049 | − | 0.832484i | \(-0.313082\pi\) | |||||||
\(390\) | −1.99400 | − | 3.17265i | −0.100970 | − | 0.160654i | ||||
\(391\) | −1.01120 | + | 0.734680i | −0.0511386 | + | 0.0371543i | ||||
\(392\) | −8.71429 | + | 1.96056i | −0.440138 | + | 0.0990234i | ||||
\(393\) | −1.30247 | + | 1.30247i | −0.0657011 | + | 0.0657011i | ||||
\(394\) | 8.32616 | + | 1.13662i | 0.419466 | + | 0.0572622i | ||||
\(395\) | −24.4848 | + | 9.85409i | −1.23196 | + | 0.495813i | ||||
\(396\) | −2.15823 | + | 18.8052i | −0.108455 | + | 0.944998i | ||||
\(397\) | −7.90375 | − | 24.3252i | −0.396678 | − | 1.22085i | −0.927647 | − | 0.373458i | \(-0.878172\pi\) |
0.530970 | − | 0.847391i | \(-0.321828\pi\) | |||||||
\(398\) | −12.6597 | + | 26.2188i | −0.634574 | + | 1.31423i | ||||
\(399\) | −7.27715 | −0.364313 | ||||||||
\(400\) | 1.82956 | − | 19.9161i | 0.0914781 | − | 0.995807i | ||||
\(401\) | 32.6649 | 1.63121 | 0.815603 | − | 0.578612i | \(-0.196406\pi\) | ||||
0.815603 | + | 0.578612i | \(0.196406\pi\) | |||||||
\(402\) | −6.64367 | + | 13.7593i | −0.331356 | + | 0.686252i | ||||
\(403\) | 0.962990 | + | 2.96378i | 0.0479700 | + | 0.147636i | ||||
\(404\) | −33.1513 | − | 3.80469i | −1.64934 | − | 0.189290i | ||||
\(405\) | −2.38833 | − | 0.598901i | −0.118677 | − | 0.0297596i | ||||
\(406\) | −12.9725 | − | 1.77091i | −0.643815 | − | 0.0878886i | ||||
\(407\) | −16.0952 | + | 16.0952i | −0.797811 | + | 0.797811i | ||||
\(408\) | 0.760568 | + | 0.481193i | 0.0376537 | + | 0.0238226i | ||||
\(409\) | 16.6756 | − | 12.1155i | 0.824554 | − | 0.599073i | −0.0934596 | − | 0.995623i | \(-0.529793\pi\) |
0.918013 | + | 0.396550i | \(0.129793\pi\) | |||||||
\(410\) | −29.4113 | + | 7.41447i | −1.45252 | + | 0.366175i | ||||
\(411\) | 1.19326 | + | 7.53394i | 0.0588591 | + | 0.371622i | ||||
\(412\) | 32.0379 | − | 6.49079i | 1.57839 | − | 0.319778i | ||||
\(413\) | −5.18580 | − | 7.13764i | −0.255177 | − | 0.351220i | ||||
\(414\) | −3.65835 | − | 10.4897i | −0.179798 | − | 0.515543i | ||||
\(415\) | 10.4819 | + | 2.62844i | 0.514534 | + | 0.129025i | ||||
\(416\) | 6.74367 | + | 0.337796i | 0.330636 | + | 0.0165618i | ||||
\(417\) | −3.37230 | − | 6.61851i | −0.165142 | − | 0.324110i | ||||
\(418\) | −4.41149 | − | 24.4532i | −0.215773 | − | 1.19605i | ||||
\(419\) | −28.9741 | + | 14.7631i | −1.41548 | + | 0.721223i | −0.983542 | − | 0.180680i | \(-0.942170\pi\) |
−0.431938 | + | 0.901903i | \(0.642170\pi\) | |||||||
\(420\) | 8.39095 | − | 2.30742i | 0.409436 | − | 0.112591i | ||||
\(421\) | −22.3551 | − | 11.3905i | −1.08952 | − | 0.555139i | −0.185509 | − | 0.982643i | \(-0.559393\pi\) |
−0.904014 | + | 0.427503i | \(0.859393\pi\) | |||||||
\(422\) | 16.7824 | + | 5.05845i | 0.816955 | + | 0.246241i | ||||
\(423\) | −0.285364 | − | 1.80172i | −0.0138749 | − | 0.0876025i | ||||
\(424\) | 7.05204 | − | 4.18377i | 0.342477 | − | 0.203182i | ||||
\(425\) | 0.915669 | + | 1.31525i | 0.0444164 | + | 0.0637989i | ||||
\(426\) | −15.1015 | + | 2.72440i | −0.731672 | + | 0.131998i | ||||
\(427\) | −11.0298 | − | 8.01362i | −0.533769 | − | 0.387806i | ||||
\(428\) | −6.88156 | − | 8.66590i | −0.332633 | − | 0.418882i | ||||
\(429\) | 4.96057 | + | 2.52753i | 0.239498 | + | 0.122031i | ||||
\(430\) | −5.31688 | − | 2.13207i | −0.256403 | − | 0.102818i | ||||
\(431\) | 6.30072 | + | 2.04723i | 0.303495 | + | 0.0986115i | 0.456806 | − | 0.889567i | \(-0.348994\pi\) |
−0.153311 | + | 0.988178i | \(0.548994\pi\) | |||||||
\(432\) | −15.0496 | + | 13.0391i | −0.724074 | + | 0.627344i | ||||
\(433\) | −7.65197 | + | 3.89888i | −0.367730 | + | 0.187368i | −0.628084 | − | 0.778145i | \(-0.716161\pi\) |
0.260354 | + | 0.965513i | \(0.416161\pi\) | |||||||
\(434\) | −7.23552 | + | 0.154908i | −0.347316 | + | 0.00743582i | ||||
\(435\) | −10.4439 | − | 0.927918i | −0.500746 | − | 0.0444903i | ||||
\(436\) | −15.9888 | + | 9.02870i | −0.765724 | + | 0.432396i | ||||
\(437\) | 8.57194 | + | 11.7983i | 0.410051 | + | 0.564387i | ||||
\(438\) | 0.0249887 | + | 1.16719i | 0.00119401 | + | 0.0557703i | ||||
\(439\) | −6.36776 | + | 8.76448i | −0.303917 | + | 0.418306i | −0.933472 | − | 0.358650i | \(-0.883237\pi\) |
0.629555 | + | 0.776956i | \(0.283237\pi\) | |||||||
\(440\) | 12.8403 | + | 26.7971i | 0.612135 | + | 1.27750i | ||||
\(441\) | 3.73920 | + | 5.14656i | 0.178057 | + | 0.245074i | ||||
\(442\) | −0.430809 | + | 0.327316i | −0.0204915 | + | 0.0155688i | ||||
\(443\) | 17.9298i | 0.851869i | 0.904754 | + | 0.425935i | \(0.140055\pi\) | ||||
−0.904754 | + | 0.425935i | \(0.859945\pi\) | |||||||
\(444\) | −9.61059 | + | 0.411702i | −0.456098 | + | 0.0195385i | ||||
\(445\) | −16.2141 | + | 25.8703i | −0.768623 | + | 1.22637i | ||||
\(446\) | 11.6931 | + | 3.52447i | 0.553686 | + | 0.166888i | ||||
\(447\) | 1.25564 | − | 2.46434i | 0.0593898 | − | 0.116559i | ||||
\(448\) | −5.27077 | + | 14.7685i | −0.249020 | + | 0.697746i | ||||
\(449\) | − | 18.8538i | − | 0.889764i | −0.895589 | − | 0.444882i | \(-0.853246\pi\) | ||
0.895589 | − | 0.444882i | \(-0.146754\pi\) | |||||||
\(450\) | −13.5414 | + | 4.41867i | −0.638349 | + | 0.208298i | ||||
\(451\) | 31.8654 | − | 31.8654i | 1.50048 | − | 1.50048i | ||||
\(452\) | −18.3895 | − | 32.5656i | −0.864968 | − | 1.53176i | ||||
\(453\) | 3.34292 | + | 10.2885i | 0.157064 | + | 0.483394i | ||||
\(454\) | −16.8879 | + | 9.06528i | −0.792590 | + | 0.425455i | ||||
\(455\) | −0.462989 | + | 5.21102i | −0.0217053 | + | 0.244296i | ||||
\(456\) | 5.61436 | − | 8.87399i | 0.262917 | − | 0.415563i | ||||
\(457\) | −2.55999 | − | 2.55999i | −0.119751 | − | 0.119751i | 0.644692 | − | 0.764443i | \(-0.276986\pi\) |
−0.764443 | + | 0.644692i | \(0.776986\pi\) | |||||||
\(458\) | −19.5730 | + | 14.8710i | −0.914587 | + | 0.694876i | ||||
\(459\) | 0.249605 | − | 1.57595i | 0.0116506 | − | 0.0735589i | ||||
\(460\) | −13.6249 | − | 10.8861i | −0.635263 | − | 0.507565i | ||||
\(461\) | −4.73563 | − | 29.8996i | −0.220560 | − | 1.39256i | −0.810794 | − | 0.585331i | \(-0.800964\pi\) |
0.590234 | − | 0.807232i | \(-0.299036\pi\) | |||||||
\(462\) | −8.94471 | + | 9.33609i | −0.416146 | + | 0.434354i | ||||
\(463\) | 0.381536 | − | 2.40893i | 0.0177315 | − | 0.111952i | −0.977235 | − | 0.212159i | \(-0.931950\pi\) |
0.994967 | + | 0.100207i | \(0.0319505\pi\) | |||||||
\(464\) | 12.1679 | − | 14.4528i | 0.564880 | − | 0.670957i | ||||
\(465\) | −5.78211 | + | 0.396488i | −0.268139 | + | 0.0183867i | ||||
\(466\) | −0.460467 | − | 21.5077i | −0.0213307 | − | 0.996325i | ||||
\(467\) | 11.8949 | + | 3.86489i | 0.550430 | + | 0.178846i | 0.571011 | − | 0.820943i | \(-0.306551\pi\) |
−0.0205806 | + | 0.999788i | \(0.506551\pi\) | |||||||
\(468\) | −1.68041 | − | 4.50574i | −0.0776772 | − | 0.208278i | ||||
\(469\) | 19.0066 | − | 9.68433i | 0.877642 | − | 0.447181i | ||||
\(470\) | −1.88433 | − | 2.15631i | −0.0869176 | − | 0.0994630i | ||||
\(471\) | 4.97848 | + | 15.3222i | 0.229396 | + | 0.706008i | ||||
\(472\) | 12.7047 | − | 0.817001i | 0.584783 | − | 0.0376055i | ||||
\(473\) | 8.40612 | − | 1.33140i | 0.386514 | − | 0.0612178i | ||||
\(474\) | 16.3085 | − | 2.94215i | 0.749075 | − | 0.135137i | ||||
\(475\) | 15.3458 | − | 10.6836i | 0.704112 | − | 0.490199i | ||||
\(476\) | −0.439072 | − | 1.17730i | −0.0201248 | − | 0.0539613i | ||||
\(477\) | −4.72456 | − | 3.43260i | −0.216323 | − | 0.157168i | ||||
\(478\) | −2.88154 | − | 5.36810i | −0.131799 | − | 0.245531i | ||||
\(479\) | −0.395747 | − | 1.21798i | −0.0180821 | − | 0.0556511i | 0.941608 | − | 0.336710i | \(-0.109314\pi\) |
−0.959690 | + | 0.281059i | \(0.909314\pi\) | |||||||
\(480\) | −3.65992 | + | 12.0124i | −0.167052 | + | 0.548288i | ||||
\(481\) | 1.78698 | − | 5.49977i | 0.0814794 | − | 0.250768i | ||||
\(482\) | 27.6438 | − | 4.98710i | 1.25914 | − | 0.227156i | ||||
\(483\) | 2.34494 | − | 7.21699i | 0.106699 | − | 0.328384i | ||||
\(484\) | −18.4587 | − | 12.2393i | −0.839031 | − | 0.556334i | ||||
\(485\) | 9.85817 | − | 23.1376i | 0.447637 | − | 1.05062i | ||||
\(486\) | 20.4116 | + | 9.85570i | 0.925888 | + | 0.447064i | ||||
\(487\) | 1.62331 | − | 10.2491i | 0.0735590 | − | 0.464433i | −0.923222 | − | 0.384266i | \(-0.874455\pi\) |
0.996781 | − | 0.0801673i | \(-0.0255455\pi\) | |||||||
\(488\) | 18.2816 | − | 7.26754i | 0.827570 | − | 0.328986i | ||||
\(489\) | −2.02889 | − | 1.47407i | −0.0917494 | − | 0.0666598i | ||||
\(490\) | 9.26894 | + | 3.71685i | 0.418728 | + | 0.167910i | ||||
\(491\) | 9.73651 | + | 1.54211i | 0.439403 | + | 0.0695946i | 0.372217 | − | 0.928146i | \(-0.378598\pi\) |
0.0671861 | + | 0.997740i | \(0.478598\pi\) | |||||||
\(492\) | 19.0271 | − | 0.815089i | 0.857806 | − | 0.0367470i | ||||
\(493\) | 1.51389i | 0.0681821i | ||||||||
\(494\) | 3.81899 | + | 5.02650i | 0.171824 | + | 0.226153i | ||||
\(495\) | 13.9056 | − | 15.9531i | 0.625012 | − | 0.717038i | ||||
\(496\) | 5.39334 | − | 8.94274i | 0.242168 | − | 0.401541i | ||||
\(497\) | 19.0887 | + | 9.72618i | 0.856245 | + | 0.436279i | ||||
\(498\) | −6.11011 | − | 2.95026i | −0.273801 | − | 0.132204i | ||||
\(499\) | 0.723475 | + | 0.723475i | 0.0323872 | + | 0.0323872i | 0.723115 | − | 0.690728i | \(-0.242710\pi\) |
−0.690728 | + | 0.723115i | \(0.742710\pi\) | |||||||
\(500\) | −14.3070 | + | 17.1846i | −0.639827 | + | 0.768519i | ||||
\(501\) | 14.6124 | − | 14.6124i | 0.652836 | − | 0.652836i | ||||
\(502\) | 7.34741 | + | 21.0675i | 0.327931 | + | 0.940290i | ||||
\(503\) | 4.94794 | − | 9.71089i | 0.220618 | − | 0.432987i | −0.753996 | − | 0.656879i | \(-0.771876\pi\) |
0.974614 | + | 0.223892i | \(0.0718762\pi\) | |||||||
\(504\) | 11.1450 | − | 0.716698i | 0.496437 | − | 0.0319242i | ||||
\(505\) | 28.1233 | + | 24.5139i | 1.25147 | + | 1.09086i | ||||
\(506\) | 25.6726 | + | 3.50462i | 1.14129 | + | 0.155799i | ||||
\(507\) | 11.4915 | 0.510356 | ||||||||
\(508\) | −28.0049 | + | 30.5117i | −1.24252 | + | 1.35374i | ||||
\(509\) | −2.48096 | + | 15.6641i | −0.109966 | + | 0.694301i | 0.869687 | + | 0.493604i | \(0.164321\pi\) |
−0.979653 | + | 0.200697i | \(0.935679\pi\) | |||||||
\(510\) | −0.395579 | − | 0.925220i | −0.0175165 | − | 0.0409694i | ||||
\(511\) | 0.958027 | − | 1.31861i | 0.0423806 | − | 0.0583319i | ||||
\(512\) | −13.9428 | − | 17.8213i | −0.616188 | − | 0.787599i | ||||
\(513\) | −18.3875 | − | 2.91229i | −0.811827 | − | 0.128581i | ||||
\(514\) | 29.4250 | − | 10.2621i | 1.29788 | − | 0.452643i | ||||
\(515\) | −33.6225 | − | 14.3255i | −1.48159 | − | 0.631256i | ||||
\(516\) | 2.99766 | + | 1.98765i | 0.131964 | + | 0.0875013i | ||||
\(517\) | 4.04634 | + | 1.31473i | 0.177958 | + | 0.0578220i | ||||
\(518\) | 11.0314 | + | 7.65944i | 0.484690 | + | 0.336536i | ||||
\(519\) | 18.8536 | + | 6.12592i | 0.827583 | + | 0.268898i | ||||
\(520\) | −5.99729 | − | 4.58492i | −0.262999 | − | 0.201062i | ||||
\(521\) | 12.3800 | − | 4.02250i | 0.542377 | − | 0.176229i | −0.0249997 | − | 0.999687i | \(-0.507958\pi\) |
0.567376 | + | 0.823459i | \(0.307958\pi\) | |||||||
\(522\) | −12.8831 | − | 3.88315i | −0.563880 | − | 0.169961i | ||||
\(523\) | −12.2440 | + | 16.8524i | −0.535391 | + | 0.736903i | −0.987940 | − | 0.154837i | \(-0.950515\pi\) |
0.452549 | + | 0.891740i | \(0.350515\pi\) | |||||||
\(524\) | −1.54162 | + | 3.37543i | −0.0673459 | + | 0.147456i | ||||
\(525\) | −9.19095 | − | 3.19246i | −0.401126 | − | 0.139330i | ||||
\(526\) | 5.52178 | + | 3.83396i | 0.240761 | + | 0.167168i | ||||
\(527\) | 0.130907 | + | 0.826512i | 0.00570238 | + | 0.0360034i | ||||
\(528\) | −4.48384 | − | 18.1103i | −0.195134 | − | 0.788151i | ||||
\(529\) | 7.41142 | − | 2.40811i | 0.322235 | − | 0.104701i | ||||
\(530\) | −9.14686 | − | 0.615680i | −0.397314 | − | 0.0267434i | ||||
\(531\) | −4.11637 | − | 8.07883i | −0.178635 | − | 0.350591i | ||||
\(532\) | −13.7362 | + | 5.12291i | −0.595540 | + | 0.222106i | ||||
\(533\) | −3.53787 | + | 10.8884i | −0.153242 | + | 0.471631i | ||||
\(534\) | 13.2620 | − | 13.8423i | 0.573904 | − | 0.599015i | ||||
\(535\) | 0.846381 | + | 12.3430i | 0.0365922 | + | 0.533636i | ||||
\(536\) | −2.85429 | + | 30.6487i | −0.123287 | + | 1.32382i | ||||
\(537\) | −24.0924 | − | 3.81586i | −1.03966 | − | 0.164667i | ||||
\(538\) | 0.677007 | + | 31.6220i | 0.0291878 | + | 1.36332i | ||||
\(539\) | −14.6544 | + | 2.32103i | −0.631210 | + | 0.0999739i | ||||
\(540\) | 22.1252 | − | 2.47223i | 0.952116 | − | 0.106388i | ||||
\(541\) | −1.02616 | − | 0.162528i | −0.0441181 | − | 0.00698762i | 0.134336 | − | 0.990936i | \(-0.457110\pi\) |
−0.178455 | + | 0.983948i | \(0.557110\pi\) | |||||||
\(542\) | −9.08196 | − | 1.23980i | −0.390103 | − | 0.0532539i | ||||
\(543\) | −1.94014 | + | 1.94014i | −0.0832595 | + | 0.0832595i | ||||
\(544\) | 1.77438 | + | 0.372873i | 0.0760759 | + | 0.0159868i | ||||
\(545\) | 20.4487 | + | 1.81682i | 0.875924 | + | 0.0778241i | ||||
\(546\) | 0.947951 | − | 3.14502i | 0.0405686 | − | 0.134594i | ||||
\(547\) | 23.3275 | − | 7.57956i | 0.997411 | − | 0.324078i | 0.235580 | − | 0.971855i | \(-0.424301\pi\) |
0.761830 | + | 0.647776i | \(0.224301\pi\) | |||||||
\(548\) | 7.55605 | + | 13.3809i | 0.322778 | + | 0.571604i | ||||
\(549\) | −9.90753 | − | 9.90753i | −0.422843 | − | 0.422843i | ||||
\(550\) | 5.15586 | − | 32.8194i | 0.219847 | − | 1.39942i | ||||
\(551\) | 17.6634 | 0.752487 | ||||||||
\(552\) | 6.99149 | + | 8.42745i | 0.297578 | + | 0.358696i | ||||
\(553\) | −20.6143 | − | 10.5035i | −0.876611 | − | 0.446656i | ||||
\(554\) | 22.7413 | − | 12.2073i | 0.966184 | − | 0.518638i | ||||
\(555\) | 9.11291 | + | 5.71148i | 0.386821 | + | 0.242439i | ||||
\(556\) | −11.0247 | − | 10.1190i | −0.467552 | − | 0.429139i | ||||
\(557\) | −33.5383 | −1.42106 | −0.710532 | − | 0.703665i | \(-0.751546\pi\) | ||||
−0.710532 | + | 0.703665i | \(0.751546\pi\) | |||||||
\(558\) | −7.36937 | − | 1.00601i | −0.311970 | − | 0.0425877i | ||||
\(559\) | −1.74928 | + | 1.27093i | −0.0739866 | + | 0.0537544i | ||||
\(560\) | 14.2142 | − | 10.2624i | 0.600661 | − | 0.433667i | ||||
\(561\) | 1.20948 | + | 0.878737i | 0.0510642 | + | 0.0371003i | ||||
\(562\) | 28.7387 | + | 27.5340i | 1.21227 | + | 1.16145i | ||||
\(563\) | −19.4057 | + | 14.0990i | −0.817851 | + | 0.594203i | −0.916096 | − | 0.400959i | \(-0.868677\pi\) |
0.0982454 | + | 0.995162i | \(0.468677\pi\) | |||||||
\(564\) | 0.884097 | + | 1.56563i | 0.0372272 | + | 0.0659251i | ||||
\(565\) | −3.70047 | + | 41.6494i | −0.155680 | + | 1.75220i | ||||
\(566\) | 21.3410 | + | 20.4464i | 0.897031 | + | 0.859426i | ||||
\(567\) | −0.979893 | − | 1.92315i | −0.0411516 | − | 0.0807646i | ||||
\(568\) | −26.5875 | + | 15.7736i | −1.11559 | + | 0.661845i | ||||
\(569\) | −5.82619 | + | 17.9312i | −0.244247 | + | 0.751714i | 0.751513 | + | 0.659719i | \(0.229325\pi\) |
−0.995759 | + | 0.0919954i | \(0.970675\pi\) | |||||||
\(570\) | −10.7951 | + | 4.61545i | −0.452156 | + | 0.193320i | ||||
\(571\) | 8.10626 | − | 15.9094i | 0.339236 | − | 0.665789i | −0.656865 | − | 0.754008i | \(-0.728118\pi\) |
0.996101 | + | 0.0882198i | \(0.0281178\pi\) | |||||||
\(572\) | 11.1428 | + | 1.27883i | 0.465903 | + | 0.0534704i | ||||
\(573\) | −8.57535 | + | 11.8030i | −0.358240 | + | 0.493076i | ||||
\(574\) | −21.8399 | − | 15.1642i | −0.911580 | − | 0.632940i | ||||
\(575\) | 5.65040 | + | 18.6615i | 0.235638 | + | 0.778239i | ||||
\(576\) | −7.72445 | + | 14.1435i | −0.321852 | + | 0.589312i | ||||
\(577\) | 8.38025 | − | 1.32730i | 0.348874 | − | 0.0552562i | 0.0204617 | − | 0.999791i | \(-0.493486\pi\) |
0.328413 | + | 0.944534i | \(0.393486\pi\) | |||||||
\(578\) | 21.0547 | − | 11.3020i | 0.875760 | − | 0.470100i | ||||
\(579\) | −7.76753 | + | 15.2446i | −0.322808 | + | 0.633546i | ||||
\(580\) | −20.3669 | + | 5.60067i | −0.845689 | + | 0.232555i | ||||
\(581\) | 4.30053 | + | 8.44027i | 0.178416 | + | 0.350161i | ||||
\(582\) | −9.00628 | + | 12.9711i | −0.373322 | + | 0.537671i | ||||
\(583\) | 12.1360 | − | 6.18358i | 0.502620 | − | 0.256098i | ||||
\(584\) | 0.868834 | + | 2.18557i | 0.0359526 | + | 0.0904393i | ||||
\(585\) | −1.30773 | + | 5.21505i | −0.0540681 | + | 0.215616i | ||||
\(586\) | 20.5550 | + | 9.92496i | 0.849120 | + | 0.409996i | ||||
\(587\) | 14.3278 | − | 10.4098i | 0.591373 | − | 0.429658i | −0.251433 | − | 0.967875i | \(-0.580902\pi\) |
0.842806 | + | 0.538217i | \(0.180902\pi\) | |||||||
\(588\) | −5.22583 | − | 3.46507i | −0.215509 | − | 0.142897i | ||||
\(589\) | 9.64340 | − | 1.52736i | 0.397349 | − | 0.0629339i | ||||
\(590\) | −12.2197 | − | 7.29909i | −0.503077 | − | 0.300499i | ||||
\(591\) | 3.46740 | + | 4.77246i | 0.142630 | + | 0.196313i | ||||
\(592\) | −17.8509 | + | 7.54270i | −0.733669 | + | 0.310003i | ||||
\(593\) | 1.31909 | + | 1.31909i | 0.0541685 | + | 0.0541685i | 0.733672 | − | 0.679504i | \(-0.237805\pi\) |
−0.679504 | + | 0.733672i | \(0.737805\pi\) | |||||||
\(594\) | −26.3373 | + | 20.0103i | −1.08063 | + | 0.821031i | ||||
\(595\) | −0.341694 | + | 1.36263i | −0.0140081 | + | 0.0558623i | ||||
\(596\) | 0.635302 | − | 5.53557i | 0.0260230 | − | 0.226746i | ||||
\(597\) | −19.4382 | + | 6.31586i | −0.795553 | + | 0.258491i | ||||
\(598\) | −6.21555 | + | 2.16771i | −0.254173 | + | 0.0886441i | ||||
\(599\) | 29.2304i | 1.19432i | 0.802122 | + | 0.597160i | \(0.203704\pi\) | ||||
−0.802122 | + | 0.597160i | \(0.796296\pi\) | |||||||
\(600\) | 10.9839 | − | 8.74474i | 0.448414 | − | 0.357003i | ||||
\(601\) | 32.0400i | 1.30694i | 0.756954 | + | 0.653468i | \(0.226687\pi\) | ||||
−0.756954 | + | 0.653468i | \(0.773313\pi\) | |||||||
\(602\) | −1.65359 | − | 4.74140i | −0.0673951 | − | 0.193245i | ||||
\(603\) | 20.8497 | − | 6.77448i | 0.849065 | − | 0.275878i | ||||
\(604\) | 13.5528 | + | 17.0670i | 0.551456 | + | 0.694445i | ||||
\(605\) | 9.24503 | + | 22.9714i | 0.375864 | + | 0.933920i | ||||
\(606\) | −14.1711 | − | 18.6519i | −0.575662 | − | 0.757680i | ||||
\(607\) | 26.5782 | + | 26.5782i | 1.07878 | + | 1.07878i | 0.996619 | + | 0.0821564i | \(0.0261807\pi\) |
0.0821564 | + | 0.996619i | \(0.473819\pi\) | |||||||
\(608\) | 4.35052 | − | 20.7027i | 0.176437 | − | 0.839606i | ||||
\(609\) | −5.40235 | − | 7.43570i | −0.218914 | − | 0.301310i | ||||
\(610\) | −21.4444 | − | 4.89204i | −0.868258 | − | 0.198073i | ||||
\(611\) | −1.06758 | + | 0.169088i | −0.0431898 | + | 0.00684059i | ||||
\(612\) | −0.256410 | − | 1.26561i | −0.0103648 | − | 0.0511593i | ||||
\(613\) | −19.6715 | + | 14.2922i | −0.794524 | + | 0.577256i | −0.909303 | − | 0.416135i | \(-0.863384\pi\) |
0.114778 | + | 0.993391i | \(0.463384\pi\) | |||||||
\(614\) | −1.21737 | + | 2.52123i | −0.0491291 | + | 0.101748i | ||||
\(615\) | −18.0418 | − | 11.3076i | −0.727514 | − | 0.455967i | ||||
\(616\) | −10.3115 | + | 23.9194i | −0.415463 | + | 0.963742i | ||||
\(617\) | 22.6212 | − | 11.5261i | 0.910695 | − | 0.464022i | 0.0651194 | − | 0.997877i | \(-0.479257\pi\) |
0.845576 | + | 0.533855i | \(0.179257\pi\) | |||||||
\(618\) | 18.8491 | + | 13.0875i | 0.758221 | + | 0.526458i | ||||
\(619\) | 0.396732 | + | 0.778630i | 0.0159460 | + | 0.0312958i | 0.898842 | − | 0.438273i | \(-0.144410\pi\) |
−0.882896 | + | 0.469568i | \(0.844410\pi\) | |||||||
\(620\) | −10.6351 | + | 4.81884i | −0.427115 | + | 0.193529i | ||||
\(621\) | 8.81328 | − | 17.2970i | 0.353665 | − | 0.694106i | ||||
\(622\) | −13.0757 | − | 24.3591i | −0.524290 | − | 0.976712i | ||||
\(623\) | −26.4340 | + | 4.18673i | −1.05906 | + | 0.167738i | ||||
\(624\) | 3.10379 | + | 3.58236i | 0.124251 | + | 0.143409i | ||||
\(625\) | 24.0684 | − | 6.76117i | 0.962735 | − | 0.270447i | ||||
\(626\) | 0.660402 | − | 0.951132i | 0.0263950 | − | 0.0380149i | ||||
\(627\) | 10.2527 | − | 14.1117i | 0.409455 | − | 0.563566i | ||||
\(628\) | 20.1836 | + | 25.4171i | 0.805415 | + | 1.01425i | ||||
\(629\) | 0.704976 | − | 1.38359i | 0.0281092 | − | 0.0551675i | ||||
\(630\) | −10.7195 | − | 6.40298i | −0.427074 | − | 0.255101i | ||||
\(631\) | −9.41719 | + | 28.9831i | −0.374892 | + | 1.15380i | 0.568659 | + | 0.822573i | \(0.307462\pi\) |
−0.943551 | + | 0.331226i | \(0.892538\pi\) | |||||||
\(632\) | 28.7124 | − | 17.0343i | 1.14212 | − | 0.677587i | ||||
\(633\) | 5.58617 | + | 10.9635i | 0.222030 | + | 0.435759i | ||||
\(634\) | −9.10064 | + | 9.49884i | −0.361433 | + | 0.377247i | ||||
\(635\) | 45.1311 | − | 10.3552i | 1.79097 | − | 0.410935i | ||||
\(636\) | 5.54550 | + | 1.54281i | 0.219893 | + | 0.0611762i | ||||
\(637\) | 3.04952 | − | 2.21561i | 0.120827 | − | 0.0877856i | ||||
\(638\) | 21.7110 | − | 22.6610i | 0.859547 | − | 0.897157i | ||||
\(639\) | 17.8125 | + | 12.9415i | 0.704650 | + | 0.511958i | ||||
\(640\) | 1.54798 | + | 25.2508i | 0.0611892 | + | 0.998126i | ||||
\(641\) | 13.8729 | − | 10.0792i | 0.547945 | − | 0.398106i | −0.279082 | − | 0.960267i | \(-0.590030\pi\) |
0.827027 | + | 0.562162i | \(0.190030\pi\) | |||||||
\(642\) | 1.05070 | − | 7.69674i | 0.0414678 | − | 0.303766i | ||||
\(643\) | 20.0410 | 0.790339 | 0.395169 | − | 0.918608i | \(-0.370686\pi\) | ||||
0.395169 | + | 0.918608i | \(0.370686\pi\) | |||||||
\(644\) | −0.654289 | − | 15.2734i | −0.0257826 | − | 0.601857i | ||||
\(645\) | −1.50138 | − | 3.73051i | −0.0591166 | − | 0.146889i | ||||
\(646\) | 0.801731 | + | 1.49356i | 0.0315437 | + | 0.0587635i | ||||
\(647\) | −19.6798 | − | 10.0274i | −0.773695 | − | 0.394217i | 0.0221217 | − | 0.999755i | \(-0.492958\pi\) |
−0.795816 | + | 0.605538i | \(0.792958\pi\) | |||||||
\(648\) | 3.10114 | + | 0.288807i | 0.121824 | + | 0.0113454i | ||||
\(649\) | 21.1474 | 0.830107 | ||||||||
\(650\) | 2.61822 | + | 8.02378i | 0.102695 | + | 0.314719i | ||||
\(651\) | −3.59240 | − | 3.59240i | −0.140797 | − | 0.140797i | ||||
\(652\) | −4.86739 | − | 1.35415i | −0.190622 | − | 0.0530326i | ||||
\(653\) | −8.31974 | + | 2.70325i | −0.325577 | + | 0.105786i | −0.467245 | − | 0.884128i | \(-0.654753\pi\) |
0.141668 | + | 0.989914i | \(0.454753\pi\) | |||||||
\(654\) | −12.3414 | − | 3.71987i | −0.482588 | − | 0.145458i | ||||
\(655\) | 3.55910 | − | 2.13200i | 0.139066 | − | 0.0833040i | ||||
\(656\) | 35.3413 | − | 14.9330i | 1.37985 | − | 0.583038i | ||||
\(657\) | 1.18444 | − | 1.18444i | 0.0462096 | − | 0.0462096i | ||||
\(658\) | 0.339526 | − | 2.48715i | 0.0132361 | − | 0.0969592i | ||||
\(659\) | −31.1771 | − | 4.93797i | −1.21449 | − | 0.192356i | −0.483868 | − | 0.875141i | \(-0.660768\pi\) |
−0.730619 | + | 0.682785i | \(0.760768\pi\) | |||||||
\(660\) | −7.34746 | + | 19.5224i | −0.286000 | + | 0.759910i | ||||
\(661\) | −27.6981 | + | 4.38695i | −1.07733 | + | 0.170633i | −0.669787 | − | 0.742553i | \(-0.733615\pi\) |
−0.407544 | + | 0.913185i | \(0.633615\pi\) | |||||||
\(662\) | −34.0599 | + | 0.729201i | −1.32378 | + | 0.0283412i | ||||
\(663\) | −0.375133 | − | 0.0594153i | −0.0145690 | − | 0.00230750i | ||||
\(664\) | −13.6102 | − | 1.26751i | −0.528179 | − | 0.0491889i | ||||
\(665\) | 15.8986 | + | 3.98675i | 0.616521 | + | 0.154599i | ||||
\(666\) | 9.96606 | + | 9.54827i | 0.386177 | + | 0.369988i | ||||
\(667\) | −5.69175 | + | 17.5174i | −0.220385 | + | 0.678276i | ||||
\(668\) | 17.2954 | − | 37.8689i | 0.669179 | − | 1.46519i | ||||
\(669\) | 3.89216 | + | 7.63879i | 0.150480 | + | 0.295333i | ||||
\(670\) | 22.0526 | − | 26.4206i | 0.851965 | − | 1.02072i | ||||
\(671\) | 31.0796 | − | 10.0984i | 1.19982 | − | 0.389844i | ||||
\(672\) | −10.0457 | + | 4.50050i | −0.387523 | + | 0.173611i | ||||
\(673\) | 5.82866 | + | 36.8007i | 0.224678 | + | 1.41856i | 0.799687 | + | 0.600417i | \(0.204999\pi\) |
−0.575009 | + | 0.818147i | \(0.695001\pi\) | |||||||
\(674\) | −28.0791 | + | 40.4405i | −1.08157 | + | 1.55771i | ||||
\(675\) | −21.9455 | − | 11.7447i | −0.844684 | − | 0.452054i | ||||
\(676\) | 21.6911 | − | 8.08969i | 0.834274 | − | 0.311142i | ||||
\(677\) | 4.60407 | − | 6.33696i | 0.176949 | − | 0.243549i | −0.711325 | − | 0.702863i | \(-0.751905\pi\) |
0.888274 | + | 0.459314i | \(0.151905\pi\) | |||||||
\(678\) | 7.57655 | − | 25.1367i | 0.290976 | − | 0.965371i | ||||
\(679\) | 20.9673 | − | 6.81268i | 0.804650 | − | 0.261447i | ||||
\(680\) | −1.39801 | − | 1.46795i | −0.0536114 | − | 0.0562933i | ||||
\(681\) | −12.7966 | − | 4.15788i | −0.490368 | − | 0.159330i | ||||
\(682\) | 9.89368 | − | 14.2492i | 0.378849 | − | 0.545630i | ||||
\(683\) | 28.1183 | + | 9.13619i | 1.07592 | + | 0.349586i | 0.792789 | − | 0.609496i | \(-0.208628\pi\) |
0.283127 | + | 0.959082i | \(0.408628\pi\) | |||||||
\(684\) | −14.7666 | + | 2.99168i | −0.564616 | + | 0.114390i | ||||
\(685\) | 1.52049 | − | 17.1133i | 0.0580947 | − | 0.653867i | ||||
\(686\) | 9.27252 | + | 26.5875i | 0.354027 | + | 1.01512i | ||||
\(687\) | −17.0435 | − | 2.69942i | −0.650250 | − | 0.102989i | ||||
\(688\) | 7.05756 | + | 1.64158i | 0.269067 | + | 0.0625846i | ||||
\(689\) | −2.03394 | + | 2.79947i | −0.0774868 | + | 0.106651i | ||||
\(690\) | −1.09876 | − | 12.1931i | −0.0418290 | − | 0.464183i | ||||
\(691\) | 7.04572 | − | 44.4849i | 0.268032 | − | 1.69229i | −0.375464 | − | 0.926837i | \(-0.622517\pi\) |
0.643496 | − | 0.765450i | \(-0.277483\pi\) | |||||||
\(692\) | 39.9002 | − | 1.70926i | 1.51678 | − | 0.0649764i | ||||
\(693\) | 18.5511 | 0.704698 | ||||||||
\(694\) | 6.83784 | − | 50.0896i | 0.259561 | − | 1.90137i | ||||
\(695\) | 3.74164 | + | 16.3071i | 0.141928 | + | 0.618564i | ||||
\(696\) | 13.2353 | − | 0.851118i | 0.501682 | − | 0.0322615i | ||||
\(697\) | −1.39571 | + | 2.73924i | −0.0528664 | + | 0.103756i | ||||
\(698\) | 36.8616 | − | 12.8557i | 1.39523 | − | 0.486595i | ||||
\(699\) | 10.6785 | − | 10.6785i | 0.403897 | − | 0.403897i | ||||
\(700\) | −19.5960 | + | 0.444146i | −0.740661 | + | 0.0167871i | ||||
\(701\) | −14.4831 | − | 14.4831i | −0.547020 | − | 0.547020i | 0.378558 | − | 0.925578i | \(-0.376420\pi\) |
−0.925578 | + | 0.378558i | \(0.876420\pi\) | |||||||
\(702\) | 3.65385 | − | 7.56728i | 0.137906 | − | 0.285609i | ||||
\(703\) | −16.1432 | − | 8.22537i | −0.608852 | − | 0.310226i | ||||
\(704\) | −21.2128 | − | 31.0282i | −0.799486 | − | 1.16942i | ||||
\(705\) | 0.177905 | − | 2.00235i | 0.00670027 | − | 0.0754127i | ||||
\(706\) | −27.3371 | + | 20.7699i | −1.02885 | + | 0.781686i | ||||
\(707\) | 32.7033i | 1.22993i | ||||||||
\(708\) | 6.58410 | + | 6.04317i | 0.247446 | + | 0.227116i | ||||
\(709\) | −29.5849 | − | 4.68580i | −1.11109 | − | 0.175979i | −0.426200 | − | 0.904629i | \(-0.640148\pi\) |
−0.684886 | + | 0.728650i | \(0.740148\pi\) | |||||||
\(710\) | 34.4853 | + | 2.32123i | 1.29421 | + | 0.0871141i | ||||
\(711\) | −19.2361 | − | 13.9758i | −0.721410 | − | 0.524135i | ||||
\(712\) | 15.2885 | − | 35.4645i | 0.572962 | − | 1.32909i | ||||
\(713\) | −1.59269 | + | 10.0558i | −0.0596467 | + | 0.376594i | ||||
\(714\) | 0.383530 | − | 0.794308i | 0.0143533 | − | 0.0297262i | ||||
\(715\) | −9.45278 | − | 8.23959i | −0.353514 | − | 0.308143i | ||||
\(716\) | −48.1626 | + | 9.75762i | −1.79992 | + | 0.364659i | ||||
\(717\) | 1.32165 | − | 4.06761i | 0.0493578 | − | 0.151908i | ||||
\(718\) | −6.47177 | − | 35.8734i | −0.241524 | − | 1.33878i | ||||
\(719\) | 5.61459 | − | 17.2799i | 0.209389 | − | 0.644432i | −0.790116 | − | 0.612958i | \(-0.789980\pi\) |
0.999505 | − | 0.0314748i | \(-0.0100204\pi\) | |||||||
\(720\) | 16.0781 | − | 8.13174i | 0.599197 | − | 0.303052i | ||||
\(721\) | −9.89990 | − | 30.4687i | −0.368691 | − | 1.13472i | ||||
\(722\) | −6.24852 | + | 3.35415i | −0.232546 | + | 0.124828i | ||||
\(723\) | 15.9529 | + | 11.5905i | 0.593296 | + | 0.431055i | ||||
\(724\) | −2.29637 | + | 5.02798i | −0.0853439 | + | 0.186863i | ||||
\(725\) | 22.3087 | + | 7.74887i | 0.828523 | + | 0.287786i | ||||
\(726\) | −2.76030 | − | 15.3005i | −0.102444 | − | 0.567856i | ||||
\(727\) | −22.1162 | + | 3.50286i | −0.820244 | + | 0.129914i | −0.552433 | − | 0.833557i | \(-0.686300\pi\) |
−0.267811 | + | 0.963471i | \(0.586300\pi\) | |||||||
\(728\) | −0.424669 | − | 6.60380i | −0.0157393 | − | 0.244753i | ||||
\(729\) | 3.89612 | + | 11.9910i | 0.144301 | + | 0.444112i | ||||
\(730\) | 0.584843 | − | 2.56367i | 0.0216460 | − | 0.0948858i | ||||
\(731\) | −0.517335 | + | 0.263595i | −0.0191343 | + | 0.00974943i | ||||
\(732\) | 12.5622 | + | 5.73738i | 0.464312 | + | 0.212060i | ||||
\(733\) | −8.39511 | − | 2.72774i | −0.310081 | − | 0.100751i | 0.149843 | − | 0.988710i | \(-0.452123\pi\) |
−0.459924 | + | 0.887959i | \(0.652123\pi\) | |||||||
\(734\) | −28.2103 | + | 0.603966i | −1.04126 | + | 0.0222928i | ||||
\(735\) | 2.61735 | + | 6.50342i | 0.0965425 | + | 0.239882i | ||||
\(736\) | 19.1297 | + | 10.9857i | 0.705129 | + | 0.404937i | ||||
\(737\) | −7.99862 | + | 50.5013i | −0.294633 | + | 1.86024i | ||||
\(738\) | −19.7308 | − | 18.9037i | −0.726302 | − | 0.695854i | ||||
\(739\) | 5.43042 | + | 34.2863i | 0.199761 | + | 1.26124i | 0.860042 | + | 0.510224i | \(0.170437\pi\) |
−0.660280 | + | 0.751019i | \(0.729563\pi\) | |||||||
\(740\) | 21.2221 | + | 4.36565i | 0.780139 | + | 0.160485i | ||||
\(741\) | −0.693233 | + | 4.37690i | −0.0254665 | + | 0.160789i | ||||
\(742\) | −4.86161 | − | 6.39879i | −0.178475 | − | 0.234907i | ||||
\(743\) | 4.23284 | + | 4.23284i | 0.155288 | + | 0.155288i | 0.780475 | − | 0.625187i | \(-0.214977\pi\) |
−0.625187 | + | 0.780475i | \(0.714977\pi\) | |||||||
\(744\) | 7.15225 | − | 1.60913i | 0.262214 | − | 0.0589936i | ||||
\(745\) | −4.09331 | + | 4.69600i | −0.149967 | + | 0.172048i | ||||
\(746\) | −19.4889 | − | 36.3064i | −0.713541 | − | 1.32927i | ||||
\(747\) | 3.00835 | + | 9.25875i | 0.110070 | + | 0.338760i | ||||
\(748\) | 2.90159 | + | 0.807248i | 0.106093 | + | 0.0295159i | ||||
\(749\) | −7.66869 | + | 7.66869i | −0.280208 | + | 0.280208i | ||||
\(750\) | −15.6588 | + | 1.09350i | −0.571779 | + | 0.0399288i | ||||
\(751\) | 37.3559i | 1.36314i | 0.731754 | + | 0.681569i | \(0.238702\pi\) | ||||
−0.731754 | + | 0.681569i | \(0.761298\pi\) | |||||||
\(752\) | 2.77096 | + | 2.33288i | 0.101047 | + | 0.0850713i | ||||
\(753\) | −7.11075 | + | 13.9556i | −0.259130 | + | 0.508572i | ||||
\(754\) | −2.30091 | + | 7.63373i | −0.0837942 | + | 0.278004i | ||||
\(755\) | −1.66689 | − | 24.3089i | −0.0606645 | − | 0.884690i | ||||
\(756\) | 14.3774 | + | 13.1962i | 0.522901 | + | 0.479941i | ||||
\(757\) | − | 12.0844i | − | 0.439214i | −0.975588 | − | 0.219607i | \(-0.929523\pi\) | ||
0.975588 | − | 0.219607i | \(-0.0704775\pi\) | |||||||
\(758\) | −8.69673 | − | 11.4465i | −0.315880 | − | 0.415757i | ||||
\(759\) | 10.6912 | + | 14.7152i | 0.388067 | + | 0.534129i | ||||
\(760\) | −17.1274 | + | 16.3115i | −0.621277 | + | 0.591679i | ||||
\(761\) | 9.36705 | − | 12.8926i | 0.339555 | − | 0.467358i | −0.604756 | − | 0.796411i | \(-0.706729\pi\) |
0.944311 | + | 0.329053i | \(0.106729\pi\) | |||||||
\(762\) | −29.0665 | + | 0.622296i | −1.05297 | + | 0.0225434i | ||||
\(763\) | 10.5776 | + | 14.5588i | 0.382934 | + | 0.527063i | ||||
\(764\) | −7.87771 | + | 28.3158i | −0.285006 | + | 1.02443i | ||||
\(765\) | −0.565908 | + | 1.32821i | −0.0204605 | + | 0.0480216i | ||||
\(766\) | −0.106393 | − | 4.96944i | −0.00384412 | − | 0.179553i | ||||
\(767\) | −4.78700 | + | 2.43910i | −0.172849 | + | 0.0880707i | ||||
\(768\) | 2.26230 | − | 15.7223i | 0.0816337 | − | 0.567329i | ||||
\(769\) | 0.555140 | + | 0.180376i | 0.0200188 | + | 0.00650452i | 0.319009 | − | 0.947752i | \(-0.396650\pi\) |
−0.298990 | + | 0.954256i | \(0.596650\pi\) | |||||||
\(770\) | 24.6565 | − | 15.4965i | 0.888558 | − | 0.558455i | ||||
\(771\) | 19.4919 | + | 9.93160i | 0.701982 | + | 0.357678i | ||||
\(772\) | −3.93005 | + | 34.2436i | −0.141445 | + | 1.23245i | ||||
\(773\) | −5.69371 | − | 4.13672i | −0.204788 | − | 0.148787i | 0.480664 | − | 0.876905i | \(-0.340396\pi\) |
−0.685453 | + | 0.728117i | \(0.740396\pi\) | |||||||
\(774\) | −0.916214 | − | 5.07863i | −0.0329326 | − | 0.182548i | ||||
\(775\) | 12.8495 | + | 2.30148i | 0.461569 | + | 0.0826716i | ||||
\(776\) | −7.86877 | + | 30.8242i | −0.282473 | + | 1.10652i | ||||
\(777\) | 1.47479 | + | 9.31147i | 0.0529078 | + | 0.334047i | ||||
\(778\) | 11.8418 | − | 39.2877i | 0.424551 | − | 1.40853i | ||||
\(779\) | 31.9603 | + | 16.2846i | 1.14510 | + | 0.583456i | ||||
\(780\) | −0.588481 | − | 5.26661i | −0.0210710 | − | 0.188575i | ||||
\(781\) | −45.7547 | + | 23.3132i | −1.63723 | + | 0.834212i | ||||
\(782\) | −1.73956 | + | 0.313826i | −0.0622066 | + | 0.0112224i | ||||
\(783\) | −10.6746 | − | 20.9501i | −0.381479 | − | 0.748696i | ||||
\(784\) | −12.3035 | − | 2.86177i | −0.439410 | − | 0.102206i | ||||
\(785\) | −2.48244 | − | 36.2022i | −0.0886020 | − | 1.29211i | ||||
\(786\) | −2.45965 | + | 0.857817i | −0.0877330 | + | 0.0305973i | ||||
\(787\) | −25.1363 | − | 34.5971i | −0.896011 | − | 1.23325i | −0.971723 | − | 0.236123i | \(-0.924123\pi\) |
0.0757123 | − | 0.997130i | \(-0.475877\pi\) | |||||||
\(788\) | 9.90466 | + | 6.56745i | 0.352839 | + | 0.233956i | ||||
\(789\) | 0.738212 | + | 4.66088i | 0.0262810 | + | 0.165932i | ||||
\(790\) | −37.2415 | − | 2.50675i | −1.32499 | − | 0.0891861i | ||||
\(791\) | −29.6530 | + | 21.5442i | −1.05434 | + | 0.766022i | ||||
\(792\) | −14.3123 | + | 22.6218i | −0.508565 | + | 0.803832i | ||||
\(793\) | −5.87057 | + | 5.87057i | −0.208470 | + | 0.208470i | ||||
\(794\) | 4.89246 | − | 35.8390i | 0.173627 | − | 1.27188i | ||||
\(795\) | −4.13002 | − | 4.93547i | −0.146477 | − | 0.175043i | ||||
\(796\) | −32.2450 | + | 25.6056i | −1.14289 | + | 0.907567i | ||||
\(797\) | −5.23238 | − | 16.1036i | −0.185340 | − | 0.570419i | 0.814614 | − | 0.580004i | \(-0.196949\pi\) |
−0.999954 | + | 0.00958488i | \(0.996949\pi\) | |||||||
\(798\) | −9.26765 | − | 4.47487i | −0.328071 | − | 0.158409i | ||||
\(799\) | −0.290249 | −0.0102683 | ||||||||
\(800\) | 14.5769 | − | 24.2387i | 0.515370 | − | 0.856968i | ||||
\(801\) | −27.5051 | −0.971845 | ||||||||
\(802\) | 41.5996 | + | 20.0863i | 1.46893 | + | 0.709272i | ||||
\(803\) | 1.20726 | + | 3.71557i | 0.0426033 | + | 0.131119i | ||||
\(804\) | −16.9218 | + | 13.4375i | −0.596785 | + | 0.473905i | ||||
\(805\) | −9.07685 | + | 14.4825i | −0.319917 | + | 0.510441i | ||||
\(806\) | −0.596096 | + | 4.36662i | −0.0209966 | + | 0.153808i | ||||
\(807\) | −15.7001 | + | 15.7001i | −0.552671 | + | 0.552671i | ||||
\(808\) | −39.8795 | − | 25.2308i | −1.40296 | − | 0.887616i | ||||
\(809\) | −0.897086 | + | 0.651771i | −0.0315399 | + | 0.0229150i | −0.603444 | − | 0.797406i | \(-0.706205\pi\) |
0.571904 | + | 0.820321i | \(0.306205\pi\) | |||||||
\(810\) | −2.67333 | − | 2.23135i | −0.0939312 | − | 0.0784017i | ||||
\(811\) | −7.82504 | − | 49.4054i | −0.274774 | − | 1.73486i | −0.609718 | − | 0.792618i | \(-0.708717\pi\) |
0.334944 | − | 0.942238i | \(-0.391283\pi\) | |||||||
\(812\) | −15.4319 | − | 10.2324i | −0.541553 | − | 0.359086i | ||||
\(813\) | −3.78214 | − | 5.20567i | −0.132646 | − | 0.182571i | ||||
\(814\) | −30.3950 | + | 10.6004i | −1.06534 | + | 0.371544i | ||||
\(815\) | 3.62500 | + | 4.33196i | 0.126978 | + | 0.151742i | ||||
\(816\) | 0.672708 | + | 1.08050i | 0.0235495 | + | 0.0378252i | ||||
\(817\) | 3.07552 | + | 6.03605i | 0.107599 | + | 0.211175i | ||||
\(818\) | 28.6869 | − | 5.17527i | 1.00301 | − | 0.180949i | ||||
\(819\) | −4.19930 | + | 2.13965i | −0.146735 | + | 0.0747654i | ||||
\(820\) | −42.0155 | − | 8.64313i | −1.46724 | − | 0.301831i | ||||
\(821\) | 8.43021 | + | 4.29540i | 0.294216 | + | 0.149911i | 0.594868 | − | 0.803823i | \(-0.297204\pi\) |
−0.300652 | + | 0.953734i | \(0.597204\pi\) | |||||||
\(822\) | −3.11313 | + | 10.3284i | −0.108583 | + | 0.360246i | ||||
\(823\) | −4.22157 | − | 26.6540i | −0.147155 | − | 0.929098i | −0.945198 | − | 0.326498i | \(-0.894131\pi\) |
0.798043 | − | 0.602600i | \(-0.205869\pi\) | |||||||
\(824\) | 44.7924 | + | 11.4346i | 1.56042 | + | 0.398342i | ||||
\(825\) | 19.1398 | − | 13.3250i | 0.666362 | − | 0.463918i | ||||
\(826\) | −2.21517 | − | 12.2788i | −0.0770757 | − | 0.427235i | ||||
\(827\) | 8.17399 | + | 5.93875i | 0.284238 | + | 0.206511i | 0.720764 | − | 0.693181i | \(-0.243791\pi\) |
−0.436526 | + | 0.899692i | \(0.643791\pi\) | |||||||
\(828\) | 1.79135 | − | 15.6086i | 0.0622539 | − | 0.542436i | ||||
\(829\) | −6.75648 | − | 3.44260i | −0.234662 | − | 0.119566i | 0.332706 | − | 0.943031i | \(-0.392038\pi\) |
−0.567368 | + | 0.823464i | \(0.692038\pi\) | |||||||
\(830\) | 11.7326 | + | 9.79291i | 0.407246 | + | 0.339917i | ||||
\(831\) | 17.2319 | + | 5.59899i | 0.597769 | + | 0.194227i | ||||
\(832\) | 8.38053 | + | 4.57702i | 0.290542 | + | 0.158680i | ||||
\(833\) | 0.901872 | − | 0.459527i | 0.0312480 | − | 0.0159217i | ||||
\(834\) | −0.224853 | − | 10.5025i | −0.00778602 | − | 0.363673i | ||||
\(835\) | −39.9295 | + | 23.9188i | −1.38182 | + | 0.827746i | ||||
\(836\) | 9.41863 | − | 33.8545i | 0.325750 | − | 1.17088i | ||||
\(837\) | −7.63940 | − | 10.5147i | −0.264056 | − | 0.363442i | ||||
\(838\) | −45.9775 | + | 0.984350i | −1.58827 | + | 0.0340038i | ||||
\(839\) | 17.5299 | − | 24.1278i | 0.605198 | − | 0.832984i | −0.390974 | − | 0.920402i | \(-0.627862\pi\) |
0.996172 | + | 0.0874183i | \(0.0278617\pi\) | |||||||
\(840\) | 12.1050 | + | 2.22121i | 0.417662 | + | 0.0766390i | ||||
\(841\) | −3.93294 | − | 5.41323i | −0.135619 | − | 0.186663i | ||||
\(842\) | −21.4656 | − | 28.2528i | −0.739754 | − | 0.973655i | ||||
\(843\) | 27.9391i | 0.962274i | ||||||||
\(844\) | 18.2623 | + | 16.7619i | 0.628615 | + | 0.576969i | ||||
\(845\) | −25.1058 | − | 6.29556i | −0.863666 | − | 0.216574i | ||||
\(846\) | 0.744495 | − | 2.47001i | 0.0255963 | − | 0.0849208i | ||||
\(847\) | −9.85433 | + | 19.3402i | −0.338599 | + | 0.664538i | ||||
\(848\) | 11.5537 | − | 0.991700i | 0.396754 | − | 0.0340551i | ||||
\(849\) | 20.7473i | 0.712044i | ||||||||
\(850\) | 0.357355 | + | 2.23807i | 0.0122572 | + | 0.0767651i | ||||
\(851\) | 13.3592 | − | 13.3592i | 0.457949 | − | 0.457949i | ||||
\(852\) | −20.9075 | − | 5.81666i | −0.716280 | − | 0.199275i | ||||
\(853\) | −13.1615 | − | 40.5070i | −0.450642 | − | 1.38693i | −0.876176 | − | 0.481992i | \(-0.839914\pi\) |
0.425534 | − | 0.904943i | \(-0.360086\pi\) | |||||||
\(854\) | −9.11901 | − | 16.9880i | −0.312046 | − | 0.581318i | ||||
\(855\) | 15.4970 | + | 6.60278i | 0.529987 | + | 0.225810i | ||||
\(856\) | −3.43501 | − | 15.2679i | −0.117406 | − | 0.521845i | ||||
\(857\) | −26.5137 | − | 26.5137i | −0.905689 | − | 0.905689i | 0.0902317 | − | 0.995921i | \(-0.471239\pi\) |
−0.995921 | + | 0.0902317i | \(0.971239\pi\) | |||||||
\(858\) | 4.76318 | + | 6.26924i | 0.162612 | + | 0.214028i | ||||
\(859\) | −4.36596 | + | 27.5656i | −0.148965 | + | 0.940525i | 0.794069 | + | 0.607828i | \(0.207959\pi\) |
−0.943034 | + | 0.332698i | \(0.892041\pi\) | |||||||
\(860\) | −5.46014 | − | 5.98472i | −0.186189 | − | 0.204077i | ||||
\(861\) | −2.91979 | − | 18.4349i | −0.0995063 | − | 0.628258i | ||||
\(862\) | 6.76525 | + | 6.48165i | 0.230425 | + | 0.220766i | ||||
\(863\) | −3.17771 | + | 20.0633i | −0.108170 | + | 0.682962i | 0.872694 | + | 0.488268i | \(0.162371\pi\) |
−0.980864 | + | 0.194693i | \(0.937629\pi\) | |||||||
\(864\) | −27.1841 | + | 7.35133i | −0.924822 | + | 0.250097i | ||||
\(865\) | −37.8340 | − | 23.7123i | −1.28639 | − | 0.806243i | ||||
\(866\) | −12.1425 | + | 0.259963i | −0.412619 | + | 0.00883392i | ||||
\(867\) | 15.9540 | + | 5.18375i | 0.541825 | + | 0.176049i | ||||
\(868\) | −9.30989 | − | 4.25199i | −0.315998 | − | 0.144322i | ||||
\(869\) | 49.4116 | − | 25.1765i | 1.67617 | − | 0.854054i | ||||
\(870\) | −12.7300 | − | 7.60389i | −0.431586 | − | 0.257796i | ||||
\(871\) | −4.01412 | − | 12.3542i | −0.136013 | − | 0.418606i | ||||
\(872\) | −25.9141 | + | 1.66645i | −0.877562 | + | 0.0564332i | ||||
\(873\) | 22.3783 | − | 3.54437i | 0.757389 | − | 0.119959i | ||||
\(874\) | 3.66160 | + | 20.2965i | 0.123855 | + | 0.686538i | ||||
\(875\) | 18.3307 | + | 12.0099i | 0.619692 | + | 0.406007i | ||||
\(876\) | −0.685904 | + | 1.50181i | −0.0231745 | + | 0.0507414i | ||||
\(877\) | −25.6925 | − | 18.6667i | −0.867575 | − | 0.630330i | 0.0623602 | − | 0.998054i | \(-0.480137\pi\) |
−0.929935 | + | 0.367724i | \(0.880137\pi\) | |||||||
\(878\) | −13.4990 | + | 7.24613i | −0.455569 | + | 0.244545i | ||||
\(879\) | 4.95150 | + | 15.2392i | 0.167010 | + | 0.514004i | ||||
\(880\) | −0.125684 | + | 42.0226i | −0.00423682 | + | 1.41658i | ||||
\(881\) | −16.0312 | + | 49.3391i | −0.540106 | + | 1.66228i | 0.192244 | + | 0.981347i | \(0.438423\pi\) |
−0.732350 | + | 0.680928i | \(0.761577\pi\) | |||||||
\(882\) | 1.59724 | + | 8.85360i | 0.0537818 | + | 0.298116i | ||||
\(883\) | −0.331862 | + | 1.02137i | −0.0111680 | + | 0.0343717i | −0.956485 | − | 0.291781i | \(-0.905752\pi\) |
0.945317 | + | 0.326152i | \(0.105752\pi\) | |||||||
\(884\) | −0.749921 | + | 0.151932i | −0.0252226 | + | 0.00511003i | ||||
\(885\) | −2.23455 | − | 9.73882i | −0.0751136 | − | 0.327367i | ||||
\(886\) | −11.0254 | + | 22.8341i | −0.370405 | + | 0.767125i | ||||
\(887\) | 4.46265 | − | 28.1761i | 0.149841 | − | 0.946060i | −0.792127 | − | 0.610357i | \(-0.791026\pi\) |
0.941968 | − | 0.335703i | \(-0.108974\pi\) | |||||||
\(888\) | −12.4925 | − | 5.38544i | −0.419221 | − | 0.180724i | ||||
\(889\) | 32.8375 | + | 23.8578i | 1.10133 | + | 0.800165i | ||||
\(890\) | −36.5573 | + | 22.9761i | −1.22540 | + | 0.770162i | ||||
\(891\) | 5.10989 | + | 0.809327i | 0.171188 | + | 0.0271135i | ||||
\(892\) | 12.7243 | + | 11.6789i | 0.426040 | + | 0.391037i | ||||
\(893\) | 3.38651i | 0.113325i | ||||||||
\(894\) | 3.11447 | − | 2.36628i | 0.104163 | − | 0.0791402i | ||||
\(895\) | 50.5448 | + | 21.5355i | 1.68953 | + | 0.719853i | ||||
\(896\) | −15.7939 | + | 15.5670i | −0.527638 | + | 0.520056i | ||||
\(897\) | −4.11733 | − | 2.09789i | −0.137474 | − | 0.0700464i | ||||
\(898\) | 11.5936 | − | 24.0108i | 0.386883 | − | 0.801250i | ||||
\(899\) | 8.71963 | + | 8.71963i | 0.290816 | + | 0.290816i | ||||
\(900\) | −19.9625 | − | 2.69961i | −0.665417 | − | 0.0899869i | ||||
\(901\) | −0.657043 | + | 0.657043i | −0.0218893 | + | 0.0218893i | ||||
\(902\) | 60.1761 | − | 20.9867i | 2.00364 | − | 0.698781i | ||||
\(903\) | 1.60033 | − | 3.14082i | 0.0532555 | − | 0.104520i | ||||
\(904\) | −3.39419 | − | 52.7813i | −0.112889 | − | 1.75548i | ||||
\(905\) | 5.30158 | − | 3.17579i | 0.176230 | − | 0.105567i | ||||
\(906\) | −2.06929 | + | 15.1583i | −0.0687474 | + | 0.503599i | ||||
\(907\) | −2.95598 | −0.0981516 | −0.0490758 | − | 0.998795i | \(-0.515628\pi\) | ||||
−0.0490758 | + | 0.998795i | \(0.515628\pi\) | |||||||
\(908\) | −27.0817 | + | 1.16014i | −0.898737 | + | 0.0385005i | ||||
\(909\) | −5.25769 | + | 33.1957i | −0.174387 | + | 1.10103i | ||||
\(910\) | −3.79400 | + | 6.35168i | −0.125770 | + | 0.210556i | ||||
\(911\) | −13.2498 | + | 18.2368i | −0.438986 | + | 0.604212i | −0.969986 | − | 0.243159i | \(-0.921816\pi\) |
0.531001 | + | 0.847371i | \(0.321816\pi\) | |||||||
\(912\) | 12.6069 | − | 7.84888i | 0.417455 | − | 0.259902i | ||||
\(913\) | −22.4262 | − | 3.55196i | −0.742198 | − | 0.117553i | ||||
\(914\) | −1.68603 | − | 4.83441i | −0.0557688 | − | 0.159908i | ||||
\(915\) | −7.93457 | − | 13.2458i | −0.262309 | − | 0.437892i | ||||
\(916\) | −34.0713 | + | 6.90275i | −1.12575 | + | 0.228073i | ||||
\(917\) | 3.45879 | + | 1.12383i | 0.114219 | + | 0.0371122i | ||||
\(918\) | 1.28696 | − | 1.85352i | 0.0424761 | − | 0.0611754i | ||||
\(919\) | −4.40835 | − | 1.43236i | −0.145418 | − | 0.0472492i | 0.235404 | − | 0.971898i | \(-0.424359\pi\) |
−0.380822 | + | 0.924649i | \(0.624359\pi\) | |||||||
\(920\) | −10.6576 | − | 22.2419i | −0.351370 | − | 0.733295i | ||||
\(921\) | −1.86920 | + | 0.607339i | −0.0615921 | + | 0.0200125i | ||||
\(922\) | 12.3549 | − | 40.9900i | 0.406888 | − | 1.34993i | ||||
\(923\) | 7.66831 | − | 10.5545i | 0.252405 | − | 0.347406i | ||||
\(924\) | −17.1323 | + | 6.38948i | −0.563611 | + | 0.210198i | ||||
\(925\) | −16.7802 | − | 17.4705i | −0.551730 | − | 0.574426i | ||||
\(926\) | 1.96720 | − | 2.83322i | 0.0646461 | − | 0.0931053i | ||||
\(927\) | −5.15052 | − | 32.5191i | −0.169165 | − | 1.06807i | ||||
\(928\) | 24.3835 | − | 10.9238i | 0.800427 | − | 0.358592i | ||||
\(929\) | −11.9158 | + | 3.87169i | −0.390946 | + | 0.127026i | −0.497893 | − | 0.867239i | \(-0.665893\pi\) |
0.106947 | + | 0.994265i | \(0.465893\pi\) | |||||||
\(930\) | −7.60748 | − | 3.05060i | −0.249459 | − | 0.100033i | ||||
\(931\) | −5.36157 | − | 10.5227i | −0.175718 | − | 0.344867i | ||||
\(932\) | 12.6391 | − | 27.6738i | 0.414008 | − | 0.906485i | ||||
\(933\) | 5.99731 | − | 18.4578i | 0.196343 | − | 0.604282i | ||||
\(934\) | 12.7719 | + | 12.2365i | 0.417909 | + | 0.400389i | ||||
\(935\) | −2.16097 | − | 2.58241i | −0.0706711 | − | 0.0844537i | ||||
\(936\) | 0.630625 | − | 6.77151i | 0.0206126 | − | 0.221334i | ||||
\(937\) | 38.8985 | + | 6.16092i | 1.27076 | + | 0.201269i | 0.755148 | − | 0.655554i | \(-0.227565\pi\) |
0.515611 | + | 0.856823i | \(0.327565\pi\) | |||||||
\(938\) | 30.1605 | − | 0.645717i | 0.984775 | − | 0.0210834i | ||||
\(939\) | 0.802841 | − | 0.127158i | 0.0261997 | − | 0.00414963i | ||||
\(940\) | −1.07379 | − | 3.90483i | −0.0350230 | − | 0.127361i | ||||
\(941\) | −10.8306 | − | 1.71539i | −0.353066 | − | 0.0559202i | −0.0226177 | − | 0.999744i | \(-0.507200\pi\) |
−0.330449 | + | 0.943824i | \(0.607200\pi\) | |||||||
\(942\) | −3.08170 | + | 22.5746i | −0.100407 | + | 0.735519i | ||||
\(943\) | −26.4487 | + | 26.4487i | −0.861287 | + | 0.861287i | ||||
\(944\) | 16.6822 | + | 6.77194i | 0.542960 | + | 0.220408i | ||||
\(945\) | −4.87949 | − | 21.2662i | −0.158730 | − | 0.691790i | ||||
\(946\) | 11.5241 | + | 3.47353i | 0.374682 | + | 0.112934i | ||||
\(947\) | 46.3893 | − | 15.0728i | 1.50745 | − | 0.489800i | 0.565268 | − | 0.824907i | \(-0.308773\pi\) |
0.942180 | + | 0.335107i | \(0.108773\pi\) | |||||||
\(948\) | 22.5785 | + | 6.28155i | 0.733317 | + | 0.204015i | ||||
\(949\) | −0.701826 | − | 0.701826i | −0.0227822 | − | 0.0227822i | ||||
\(950\) | 26.1128 | − | 4.16947i | 0.847213 | − | 0.135276i | ||||
\(951\) | −9.23455 | −0.299451 | ||||||||
\(952\) | 0.164775 | − | 1.76931i | 0.00534038 | − | 0.0573438i | ||||
\(953\) | −33.4297 | − | 17.0333i | −1.08289 | − | 0.551762i | −0.180896 | − | 0.983502i | \(-0.557900\pi\) |
−0.901998 | + | 0.431740i | \(0.857900\pi\) | |||||||
\(954\) | −3.90608 | − | 7.27674i | −0.126464 | − | 0.235593i | ||||
\(955\) | 25.2010 | − | 21.0883i | 0.815485 | − | 0.682401i | ||||
\(956\) | −0.368768 | − | 8.60834i | −0.0119268 | − | 0.278414i | ||||
\(957\) | 22.0305 | 0.712144 | ||||||||
\(958\) | 0.244969 | − | 1.79449i | 0.00791460 | − | 0.0579773i | ||||
\(959\) | 12.1841 | − | 8.85229i | 0.393446 | − | 0.285855i | ||||
\(960\) | −12.0477 | + | 13.0475i | −0.388837 | + | 0.421107i | ||||
\(961\) | −19.5650 | − | 14.2148i | −0.631130 | − | 0.458543i | ||||
\(962\) | 5.65770 | − | 5.90525i | 0.182411 | − | 0.190393i | ||||
\(963\) | −9.01704 | + | 6.55127i | −0.290570 | + | 0.211112i | ||||
\(964\) | 38.2718 | + | 10.6476i | 1.23265 | + | 0.342935i | ||||
\(965\) | 25.3216 | − | 29.0500i | 0.815132 | − | 0.935152i | ||||
\(966\) | 7.42423 | − | 7.74908i | 0.238871 | − | 0.249322i | ||||
\(967\) | −11.8422 | − | 23.2416i | −0.380820 | − | 0.747400i | 0.618442 | − | 0.785831i | \(-0.287764\pi\) |
−0.999261 | + | 0.0384302i | \(0.987764\pi\) | |||||||
\(968\) | −15.9814 | − | 26.9378i | −0.513662 | − | 0.865813i | ||||
\(969\) | −0.367721 | + | 1.13173i | −0.0118129 | + | 0.0363564i | ||||
\(970\) | 26.7824 | − | 23.4043i | 0.859932 | − | 0.751468i | ||||
\(971\) | −5.38400 | + | 10.5667i | −0.172781 | + | 0.339101i | −0.961116 | − | 0.276145i | \(-0.910943\pi\) |
0.788335 | + | 0.615246i | \(0.210943\pi\) | |||||||
\(972\) | 19.9342 | + | 25.1030i | 0.639390 | + | 0.805180i | ||||
\(973\) | −8.62050 | + | 11.8651i | −0.276360 | + | 0.380377i | ||||
\(974\) | 8.36974 | − | 12.0544i | 0.268184 | − | 0.386247i | ||||
\(975\) | −2.79567 | + | 5.22385i | −0.0895332 | + | 0.167297i | ||||
\(976\) | 27.7511 | + | 1.98634i | 0.888291 | + | 0.0635813i | ||||
\(977\) | −1.32481 | + | 0.209830i | −0.0423845 | + | 0.00671305i | −0.177591 | − | 0.984104i | \(-0.556830\pi\) |
0.135206 | + | 0.990817i | \(0.456830\pi\) | |||||||
\(978\) | −1.67740 | − | 3.12487i | −0.0536374 | − | 0.0999225i | ||||
\(979\) | 29.1239 | − | 57.1588i | 0.930803 | − | 1.82680i | ||||
\(980\) | 9.51868 | + | 10.4332i | 0.304063 | + | 0.333276i | ||||
\(981\) | 8.39623 | + | 16.4785i | 0.268071 | + | 0.526119i | ||||
\(982\) | 11.4514 | + | 7.95111i | 0.365430 | + | 0.253730i | ||||
\(983\) | −37.3169 | + | 19.0139i | −1.19022 | + | 0.606449i | −0.932991 | − | 0.359901i | \(-0.882811\pi\) |
−0.257232 | + | 0.966350i | \(0.582811\pi\) | |||||||
\(984\) | 24.7327 | + | 10.6621i | 0.788449 | + | 0.339895i | ||||
\(985\) | −4.96075 | − | 12.3261i | −0.158063 | − | 0.392743i | ||||
\(986\) | −0.930922 | + | 1.92798i | −0.0296466 | + | 0.0613993i | ||||
\(987\) | 1.42561 | − | 1.03576i | 0.0453775 | − | 0.0329687i | ||||
\(988\) | 1.77268 | + | 8.74976i | 0.0563965 | + | 0.278367i | ||||
\(989\) | −6.97719 | + | 1.10508i | −0.221862 | + | 0.0351394i | ||||
\(990\) | 27.5191 | − | 11.7658i | 0.874615 | − | 0.373943i | ||||
\(991\) | 11.8487 | + | 16.3083i | 0.376386 | + | 0.518050i | 0.954622 | − | 0.297819i | \(-0.0962591\pi\) |
−0.578237 | + | 0.815869i | \(0.696259\pi\) | |||||||
\(992\) | 12.3677 | − | 8.07234i | 0.392673 | − | 0.256297i | ||||
\(993\) | −16.9106 | − | 16.9106i | −0.536641 | − | 0.536641i | ||||
\(994\) | 18.3292 | + | 24.1246i | 0.581365 | + | 0.765186i | ||||
\(995\) | 45.9273 | − | 3.14930i | 1.45599 | − | 0.0998396i | ||||
\(996\) | −5.96722 | − | 7.51448i | −0.189079 | − | 0.238105i | ||||
\(997\) | −26.8738 | + | 8.73184i | −0.851103 | + | 0.276540i | −0.701908 | − | 0.712268i | \(-0.747668\pi\) |
−0.149195 | + | 0.988808i | \(0.547668\pi\) | |||||||
\(998\) | 0.476485 | + | 1.36625i | 0.0150829 | + | 0.0432478i | ||||
\(999\) | 24.1179i | 0.763056i |
(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 | 400.2.bd.a.163.52 | yes | 464 | |
16.11 | odd | 4 | 400.2.bm.a.363.47 | yes | 464 | ||
25.2 | odd | 20 | 400.2.bm.a.227.47 | yes | 464 | ||
400.27 | even | 20 | inner | 400.2.bd.a.27.52 | ✓ | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bd.a.27.52 | ✓ | 464 | 400.27 | even | 20 | inner | |
400.2.bd.a.163.52 | yes | 464 | 1.1 | even | 1 | trivial | |
400.2.bm.a.227.47 | yes | 464 | 25.2 | odd | 20 | ||
400.2.bm.a.363.47 | yes | 464 | 16.11 | odd | 4 |