Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.2 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.893395 | + | 2.32737i | −0.631725 | + | 1.64570i | 0.125147 | + | 0.992138i | \(0.460060\pi\) |
−0.756872 | + | 0.653563i | \(0.773273\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −3.13222 | − | 2.82026i | −1.56611 | − | 1.41013i | ||||
\(5\) | −3.41301 | − | 0.540567i | −1.52634 | − | 0.241749i | −0.663868 | − | 0.747850i | \(-0.731086\pi\) |
−0.862474 | + | 0.506101i | \(0.831086\pi\) | |||||||
\(6\) | −2.32737 | + | 0.893395i | −0.950146 | + | 0.364727i | ||||
\(7\) | 1.64776 | − | 0.0863554i | 0.622795 | − | 0.0326393i | 0.261671 | − | 0.965157i | \(-0.415727\pi\) |
0.361124 | + | 0.932518i | \(0.382393\pi\) | |||||||
\(8\) | 4.91964 | − | 2.50668i | 1.73936 | − | 0.886246i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 4.30726 | − | 7.46040i | 1.36208 | − | 2.35919i | ||||
\(11\) | −0.785657 | − | 3.22223i | −0.236884 | − | 0.971538i | ||||
\(12\) | − | 4.21482i | − | 1.21671i | ||||||
\(13\) | −3.50687 | − | 0.837793i | −0.972629 | − | 0.232362i | ||||
\(14\) | −1.27112 | + | 3.91210i | −0.339721 | + | 1.04555i | ||||
\(15\) | −1.88203 | − | 2.89807i | −0.485937 | − | 0.748278i | ||||
\(16\) | 0.557666 | + | 5.30583i | 0.139416 | + | 1.32646i | ||||
\(17\) | −1.27962 | − | 0.569722i | −0.310353 | − | 0.138178i | 0.245650 | − | 0.969359i | \(-0.420999\pi\) |
−0.556002 | + | 0.831181i | \(0.687665\pi\) | |||||||
\(18\) | −2.22124 | − | 1.13178i | −0.523551 | − | 0.266762i | ||||
\(19\) | 4.05243 | − | 6.24019i | 0.929690 | − | 1.43160i | 0.0278092 | − | 0.999613i | \(-0.491147\pi\) |
0.901881 | − | 0.431984i | \(-0.142186\pi\) | |||||||
\(20\) | 9.16575 | + | 11.3188i | 2.04952 | + | 2.53095i | ||||
\(21\) | 1.16674 | + | 1.16674i | 0.254604 | + | 0.254604i | ||||
\(22\) | 8.20122 | + | 1.05020i | 1.74851 | + | 0.223904i | ||||
\(23\) | 1.99834 | + | 1.15374i | 0.416684 | + | 0.240572i | 0.693657 | − | 0.720305i | \(-0.255998\pi\) |
−0.276974 | + | 0.960877i | \(0.589332\pi\) | |||||||
\(24\) | 5.15471 | + | 1.97871i | 1.05220 | + | 0.403902i | ||||
\(25\) | 6.60112 | + | 2.14483i | 1.32022 | + | 0.428966i | ||||
\(26\) | 5.08287 | − | 7.41330i | 0.996833 | − | 1.45387i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −5.40469 | − | 4.37663i | −1.02139 | − | 0.827106i | ||||
\(29\) | −0.949992 | + | 4.46936i | −0.176409 | + | 0.829940i | 0.797557 | + | 0.603244i | \(0.206126\pi\) |
−0.973966 | + | 0.226696i | \(0.927208\pi\) | |||||||
\(30\) | 8.42628 | − | 1.79106i | 1.53842 | − | 0.327001i | ||||
\(31\) | −0.378848 | − | 2.39195i | −0.0680431 | − | 0.429608i | −0.998069 | − | 0.0621136i | \(-0.980216\pi\) |
0.930026 | − | 0.367494i | \(-0.119784\pi\) | |||||||
\(32\) | −2.18027 | − | 0.584200i | −0.385420 | − | 0.103273i | ||||
\(33\) | 1.86887 | − | 2.73995i | 0.325329 | − | 0.476964i | ||||
\(34\) | 2.46916 | − | 2.46916i | 0.423457 | − | 0.423457i | ||||
\(35\) | −5.67049 | − | 0.595993i | −0.958489 | − | 0.100741i | ||||
\(36\) | 3.13222 | − | 2.82026i | 0.522037 | − | 0.470044i | ||||
\(37\) | 0.657811 | − | 0.427188i | 0.108143 | − | 0.0702292i | −0.489434 | − | 0.872040i | \(-0.662797\pi\) |
0.597578 | + | 0.801811i | \(0.296130\pi\) | |||||||
\(38\) | 10.9028 | + | 15.0065i | 1.76867 | + | 2.43437i | ||||
\(39\) | −1.72395 | − | 3.16670i | −0.276053 | − | 0.507078i | ||||
\(40\) | −18.1458 | + | 5.89593i | −2.86910 | + | 0.932228i | ||||
\(41\) | −12.6071 | − | 0.660712i | −1.96890 | − | 0.103186i | −0.975664 | − | 0.219270i | \(-0.929632\pi\) |
−0.993239 | + | 0.116085i | \(0.962966\pi\) | |||||||
\(42\) | −3.75780 | + | 1.67308i | −0.579841 | + | 0.258162i | ||||
\(43\) | −3.37788 | − | 5.85066i | −0.515121 | − | 0.892217i | −0.999846 | − | 0.0175497i | \(-0.994413\pi\) |
0.484725 | − | 0.874667i | \(-0.338920\pi\) | |||||||
\(44\) | −6.62668 | + | 12.3085i | −0.999010 | + | 1.85557i | ||||
\(45\) | 0.894362 | − | 3.33780i | 0.133324 | − | 0.497571i | ||||
\(46\) | −4.47051 | + | 3.62014i | −0.659140 | + | 0.533761i | ||||
\(47\) | −3.40204 | − | 6.67687i | −0.496238 | − | 0.973922i | −0.994284 | − | 0.106771i | \(-0.965949\pi\) |
0.498046 | − | 0.867151i | \(-0.334051\pi\) | |||||||
\(48\) | −3.56985 | + | 3.96472i | −0.515264 | + | 0.572258i | ||||
\(49\) | −4.25400 | + | 0.447113i | −0.607714 | + | 0.0638733i | ||||
\(50\) | −10.8892 | + | 13.4471i | −1.53997 | + | 1.90170i | ||||
\(51\) | −0.432845 | − | 1.33216i | −0.0606104 | − | 0.186540i | ||||
\(52\) | 8.62148 | + | 12.5144i | 1.19558 | + | 1.73544i | ||||
\(53\) | 4.44085 | + | 3.22647i | 0.609997 | + | 0.443189i | 0.849413 | − | 0.527728i | \(-0.176956\pi\) |
−0.239416 | + | 0.970917i | \(0.576956\pi\) | |||||||
\(54\) | −0.645224 | − | 2.40801i | −0.0878039 | − | 0.327688i | ||||
\(55\) | 0.939621 | + | 11.4222i | 0.126699 | + | 1.54017i | ||||
\(56\) | 7.88992 | − | 4.55525i | 1.05433 | − | 0.608720i | ||||
\(57\) | 7.34897 | − | 1.16396i | 0.973394 | − | 0.154171i | ||||
\(58\) | −9.55315 | − | 6.20389i | −1.25439 | − | 0.814611i | ||||
\(59\) | −0.160925 | − | 3.07062i | −0.0209506 | − | 0.399761i | −0.988897 | − | 0.148604i | \(-0.952522\pi\) |
0.967946 | − | 0.251158i | \(-0.0808112\pi\) | |||||||
\(60\) | −2.27839 | + | 14.3852i | −0.294139 | + | 1.85712i | ||||
\(61\) | 5.11503 | − | 11.4886i | 0.654913 | − | 1.47096i | −0.214425 | − | 0.976740i | \(-0.568788\pi\) |
0.869338 | − | 0.494218i | \(-0.164545\pi\) | |||||||
\(62\) | 5.90543 | + | 1.25524i | 0.749990 | + | 0.159415i | ||||
\(63\) | −0.0863554 | + | 1.64776i | −0.0108798 | + | 0.207598i | ||||
\(64\) | −2.96425 | + | 4.07994i | −0.370531 | + | 0.509992i | ||||
\(65\) | 11.5161 | + | 4.75509i | 1.42839 | + | 0.589796i | ||||
\(66\) | 4.70724 | + | 6.79742i | 0.579421 | + | 0.836705i | ||||
\(67\) | 4.10167 | − | 1.09904i | 0.501098 | − | 0.134269i | 0.000588586 | − | 1.00000i | \(-0.499813\pi\) |
0.500510 | + | 0.865731i | \(0.333146\pi\) | |||||||
\(68\) | 2.40128 | + | 5.39335i | 0.291197 | + | 0.654040i | ||||
\(69\) | 0.479754 | + | 2.25707i | 0.0577556 | + | 0.271719i | ||||
\(70\) | 6.45309 | − | 12.6649i | 0.771292 | − | 1.51374i | ||||
\(71\) | −3.91283 | − | 10.1933i | −0.464368 | − | 1.20972i | −0.943322 | − | 0.331880i | \(-0.892317\pi\) |
0.478954 | − | 0.877840i | \(-0.341016\pi\) | |||||||
\(72\) | 1.97871 | + | 5.15471i | 0.233193 | + | 0.607488i | ||||
\(73\) | −5.31325 | + | 10.4278i | −0.621869 | + | 1.22049i | 0.338293 | + | 0.941041i | \(0.390151\pi\) |
−0.960162 | + | 0.279446i | \(0.909849\pi\) | |||||||
\(74\) | 0.406540 | + | 1.91262i | 0.0472593 | + | 0.222337i | ||||
\(75\) | 2.82309 | + | 6.34076i | 0.325982 | + | 0.732168i | ||||
\(76\) | −30.2921 | + | 8.11674i | −3.47474 | + | 0.931054i | ||||
\(77\) | −1.57283 | − | 5.24161i | −0.179241 | − | 0.597337i | ||||
\(78\) | 8.91026 | − | 1.18316i | 1.00889 | − | 0.133966i | ||||
\(79\) | −4.84146 | + | 6.66369i | −0.544706 | + | 0.749724i | −0.989282 | − | 0.146017i | \(-0.953354\pi\) |
0.444576 | + | 0.895741i | \(0.353354\pi\) | |||||||
\(80\) | 0.964843 | − | 18.4103i | 0.107873 | − | 2.05833i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 12.8009 | − | 28.7512i | 1.41362 | − | 3.17504i | ||||
\(83\) | 1.45434 | − | 9.18236i | 0.159635 | − | 1.00790i | −0.769632 | − | 0.638487i | \(-0.779561\pi\) |
0.929267 | − | 0.369408i | \(-0.120439\pi\) | |||||||
\(84\) | −0.363972 | − | 6.94501i | −0.0397127 | − | 0.757763i | ||||
\(85\) | 4.05937 | + | 2.63618i | 0.440300 | + | 0.285934i | ||||
\(86\) | 16.6344 | − | 2.63464i | 1.79374 | − | 0.284100i | ||||
\(87\) | −3.95705 | + | 2.28461i | −0.424241 | + | 0.244935i | ||||
\(88\) | −11.9422 | − | 13.8828i | −1.27305 | − | 1.47991i | ||||
\(89\) | −2.41711 | − | 9.02077i | −0.256213 | − | 0.956200i | −0.967412 | − | 0.253209i | \(-0.918514\pi\) |
0.711199 | − | 0.702991i | \(-0.248153\pi\) | |||||||
\(90\) | 6.96930 | + | 5.06349i | 0.734628 | + | 0.533739i | ||||
\(91\) | −5.85082 | − | 1.07764i | −0.613332 | − | 0.112968i | ||||
\(92\) | −3.00539 | − | 9.24964i | −0.313334 | − | 0.964342i | ||||
\(93\) | 1.52407 | − | 1.88207i | 0.158039 | − | 0.195161i | ||||
\(94\) | 18.5789 | − | 1.95272i | 1.91627 | − | 0.201408i | ||||
\(95\) | −17.2042 | + | 19.1072i | −1.76511 | + | 1.96036i | ||||
\(96\) | −1.02474 | − | 2.01116i | −0.104587 | − | 0.205263i | ||||
\(97\) | 0.428697 | − | 0.347152i | 0.0435276 | − | 0.0352479i | −0.607310 | − | 0.794465i | \(-0.707751\pi\) |
0.650837 | + | 0.759217i | \(0.274418\pi\) | |||||||
\(98\) | 2.75990 | − | 10.3001i | 0.278792 | − | 1.04047i | ||||
\(99\) | 3.28670 | − | 0.444538i | 0.330326 | − | 0.0446778i | ||||
\(100\) | −14.6272 | − | 25.3350i | −1.46272 | − | 2.53350i | ||||
\(101\) | −2.67375 | + | 1.19043i | −0.266048 | + | 0.118452i | −0.535426 | − | 0.844582i | \(-0.679849\pi\) |
0.269377 | + | 0.963035i | \(0.413182\pi\) | |||||||
\(102\) | 3.48713 | + | 0.182753i | 0.345278 | + | 0.0180952i | ||||
\(103\) | −3.83288 | + | 1.24538i | −0.377665 | + | 0.122711i | −0.491697 | − | 0.870766i | \(-0.663623\pi\) |
0.114032 | + | 0.993477i | \(0.463623\pi\) | |||||||
\(104\) | −19.3526 | + | 4.66896i | −1.89768 | + | 0.457829i | ||||
\(105\) | −3.35139 | − | 4.61280i | −0.327062 | − | 0.450163i | ||||
\(106\) | −11.4766 | + | 7.45300i | −1.11471 | + | 0.723900i | ||||
\(107\) | 14.6304 | − | 13.1733i | 1.41437 | − | 1.27351i | 0.501565 | − | 0.865120i | \(-0.332758\pi\) |
0.912808 | − | 0.408388i | \(-0.133909\pi\) | |||||||
\(108\) | 4.19173 | + | 0.440569i | 0.403349 | + | 0.0423937i | ||||
\(109\) | −8.96700 | + | 8.96700i | −0.858883 | + | 0.858883i | −0.991207 | − | 0.132324i | \(-0.957756\pi\) |
0.132324 | + | 0.991207i | \(0.457756\pi\) | |||||||
\(110\) | −27.4231 | − | 8.01767i | −2.61469 | − | 0.764454i | ||||
\(111\) | 0.757624 | + | 0.203005i | 0.0719105 | + | 0.0192684i | ||||
\(112\) | 1.37709 | + | 8.69458i | 0.130122 | + | 0.821561i | ||||
\(113\) | 2.21225 | − | 0.470229i | 0.208111 | − | 0.0442354i | −0.102676 | − | 0.994715i | \(-0.532741\pi\) |
0.310788 | + | 0.950479i | \(0.399407\pi\) | |||||||
\(114\) | −3.85655 | + | 18.1437i | −0.361199 | + | 1.69931i | ||||
\(115\) | −6.19669 | − | 5.01798i | −0.577844 | − | 0.467929i | ||||
\(116\) | 15.5804 | − | 11.3198i | 1.44660 | − | 1.05102i | ||||
\(117\) | 1.19977 | − | 3.40008i | 0.110919 | − | 0.314338i | ||||
\(118\) | 7.29026 | + | 2.36875i | 0.671123 | + | 0.218061i | ||||
\(119\) | −2.15770 | − | 0.828263i | −0.197796 | − | 0.0759268i | ||||
\(120\) | −16.5234 | − | 9.53981i | −1.50838 | − | 0.870861i | ||||
\(121\) | −9.76549 | + | 5.06313i | −0.887772 | + | 0.460284i | ||||
\(122\) | 22.1684 | + | 22.1684i | 2.00703 | + | 2.00703i | ||||
\(123\) | −7.94481 | − | 9.81103i | −0.716360 | − | 0.884631i | ||||
\(124\) | −5.55930 | + | 8.56058i | −0.499240 | + | 0.768763i | ||||
\(125\) | −5.97564 | − | 3.04474i | −0.534477 | − | 0.272330i | ||||
\(126\) | −3.75780 | − | 1.67308i | −0.334772 | − | 0.149050i | ||||
\(127\) | 1.55393 | + | 14.7847i | 0.137889 | + | 1.31193i | 0.816464 | + | 0.577397i | \(0.195931\pi\) |
−0.678575 | + | 0.734531i | \(0.737402\pi\) | |||||||
\(128\) | −9.30599 | − | 14.3300i | −0.822541 | − | 1.26660i | ||||
\(129\) | 2.08764 | − | 6.42510i | 0.183807 | − | 0.565699i | ||||
\(130\) | −21.3553 | + | 22.5540i | −1.87298 | + | 1.97812i | ||||
\(131\) | 5.76955i | 0.504088i | 0.967716 | + | 0.252044i | \(0.0811027\pi\) | ||||
−0.967716 | + | 0.252044i | \(0.918897\pi\) | |||||||
\(132\) | −13.5811 | + | 3.31140i | −1.18208 | + | 0.288220i | ||||
\(133\) | 6.13855 | − | 10.6323i | 0.532280 | − | 0.921936i | ||||
\(134\) | −1.10654 | + | 10.5280i | −0.0955901 | + | 0.909479i | ||||
\(135\) | 3.07892 | − | 1.56879i | 0.264991 | − | 0.135020i | ||||
\(136\) | −7.72337 | + | 0.404764i | −0.662273 | + | 0.0347083i | ||||
\(137\) | 17.3174 | − | 6.64754i | 1.47953 | − | 0.567938i | 0.521157 | − | 0.853461i | \(-0.325501\pi\) |
0.958372 | + | 0.285523i | \(0.0921673\pi\) | |||||||
\(138\) | −5.68164 | − | 0.899884i | −0.483654 | − | 0.0766032i | ||||
\(139\) | 4.36334 | + | 3.92877i | 0.370093 | + | 0.333234i | 0.833101 | − | 0.553121i | \(-0.186563\pi\) |
−0.463008 | + | 0.886354i | \(0.653230\pi\) | |||||||
\(140\) | 16.0804 | + | 17.8591i | 1.35904 | + | 1.50937i | ||||
\(141\) | 2.68548 | − | 6.99590i | 0.226158 | − | 0.589161i | ||||
\(142\) | 27.2193 | 2.28419 | ||||||||
\(143\) | 0.0556333 | + | 11.9581i | 0.00465229 | + | 0.999989i | ||||
\(144\) | −5.33506 | −0.444588 | ||||||||
\(145\) | 5.65832 | − | 14.7404i | 0.469898 | − | 1.22413i | ||||
\(146\) | −19.5226 | − | 21.6821i | −1.61571 | − | 1.79442i | ||||
\(147\) | −3.17875 | − | 2.86216i | −0.262179 | − | 0.236067i | ||||
\(148\) | −3.26519 | − | 0.517156i | −0.268397 | − | 0.0425099i | ||||
\(149\) | −11.7685 | + | 4.51749i | −0.964111 | + | 0.370087i | −0.788953 | − | 0.614453i | \(-0.789377\pi\) |
−0.175157 | + | 0.984540i | \(0.556043\pi\) | |||||||
\(150\) | −17.2794 | + | 0.905577i | −1.41086 | + | 0.0739401i | ||||
\(151\) | −8.96283 | + | 4.56679i | −0.729385 | + | 0.371640i | −0.778912 | − | 0.627133i | \(-0.784228\pi\) |
0.0495277 | + | 0.998773i | \(0.484228\pi\) | |||||||
\(152\) | 4.29431 | − | 40.8576i | 0.348315 | − | 3.31399i | ||||
\(153\) | 0.700357 | − | 1.21305i | 0.0566205 | − | 0.0980697i | ||||
\(154\) | 13.6043 | + | 1.02226i | 1.09627 | + | 0.0823764i | ||||
\(155\) | 8.36854i | 0.672178i | ||||||||
\(156\) | −3.53115 | + | 14.7808i | −0.282718 | + | 1.18341i | ||||
\(157\) | 1.03568 | − | 3.18749i | 0.0826562 | − | 0.254390i | −0.901184 | − | 0.433436i | \(-0.857301\pi\) |
0.983841 | + | 0.179046i | \(0.0573011\pi\) | |||||||
\(158\) | −11.1836 | − | 17.2212i | −0.889717 | − | 1.37004i | ||||
\(159\) | 0.573777 | + | 5.45912i | 0.0455034 | + | 0.432936i | ||||
\(160\) | 7.12546 | + | 3.17246i | 0.563317 | + | 0.250805i | ||||
\(161\) | 3.39242 | + | 1.72853i | 0.267360 | + | 0.136227i | ||||
\(162\) | 1.35776 | − | 2.09077i | 0.106676 | − | 0.164266i | ||||
\(163\) | −3.87182 | − | 4.78130i | −0.303265 | − | 0.374501i | 0.602618 | − | 0.798030i | \(-0.294124\pi\) |
−0.905882 | + | 0.423529i | \(0.860791\pi\) | |||||||
\(164\) | 37.6249 | + | 37.6249i | 2.93801 | + | 2.93801i | ||||
\(165\) | −7.85960 | + | 8.34120i | −0.611869 | + | 0.649362i | ||||
\(166\) | 20.0715 | + | 11.5883i | 1.55785 | + | 0.899424i | ||||
\(167\) | 3.84240 | + | 1.47496i | 0.297333 | + | 0.114136i | 0.502462 | − | 0.864599i | \(-0.332428\pi\) |
−0.205128 | + | 0.978735i | \(0.565761\pi\) | |||||||
\(168\) | 8.66459 | + | 2.81530i | 0.668488 | + | 0.217205i | ||||
\(169\) | 11.5962 | + | 5.87605i | 0.892016 | + | 0.452004i | ||||
\(170\) | −9.76200 | + | 7.09251i | −0.748711 | + | 0.543971i | ||||
\(171\) | 5.78241 | + | 4.68250i | 0.442192 | + | 0.358080i | ||||
\(172\) | −5.92014 | + | 27.8521i | −0.451406 | + | 2.12370i | ||||
\(173\) | −24.1702 | + | 5.13753i | −1.83762 | + | 0.390599i | −0.990124 | − | 0.140195i | \(-0.955227\pi\) |
−0.847501 | + | 0.530794i | \(0.821894\pi\) | |||||||
\(174\) | −1.78192 | − | 11.2506i | −0.135087 | − | 0.852905i | ||||
\(175\) | 11.0623 | + | 2.96413i | 0.836229 | + | 0.224067i | ||||
\(176\) | 16.6585 | − | 5.96549i | 1.25568 | − | 0.449666i | ||||
\(177\) | 2.17424 | − | 2.17424i | 0.163426 | − | 0.163426i | ||||
\(178\) | 23.1541 | + | 2.43360i | 1.73548 | + | 0.182406i | ||||
\(179\) | 1.31271 | − | 1.18197i | 0.0981169 | − | 0.0883448i | −0.618613 | − | 0.785696i | \(-0.712305\pi\) |
0.716729 | + | 0.697351i | \(0.245638\pi\) | |||||||
\(180\) | −12.2148 | + | 7.93240i | −0.910440 | + | 0.591246i | ||||
\(181\) | 0.154305 | + | 0.212383i | 0.0114694 | + | 0.0157863i | 0.814713 | − | 0.579864i | \(-0.196894\pi\) |
−0.803244 | + | 0.595650i | \(0.796894\pi\) | |||||||
\(182\) | 7.73517 | − | 12.6543i | 0.573369 | − | 0.937997i | ||||
\(183\) | 11.9603 | − | 3.88613i | 0.884129 | − | 0.287271i | ||||
\(184\) | 12.7232 | + | 0.666795i | 0.937967 | + | 0.0491568i | ||||
\(185\) | −2.47604 | + | 1.10240i | −0.182042 | + | 0.0810503i | ||||
\(186\) | 3.01868 | + | 5.22851i | 0.221340 | + | 0.383373i | ||||
\(187\) | −0.830434 | + | 4.57082i | −0.0607274 | + | 0.334252i | ||||
\(188\) | −8.17461 | + | 30.5081i | −0.596195 | + | 2.22503i | ||||
\(189\) | −1.28231 | + | 1.03839i | −0.0932741 | + | 0.0755319i | ||||
\(190\) | −29.0994 | − | 57.1108i | −2.11109 | − | 4.14326i | ||||
\(191\) | −8.28953 | + | 9.20646i | −0.599809 | + | 0.666156i | −0.964226 | − | 0.265080i | \(-0.914602\pi\) |
0.364417 | + | 0.931236i | \(0.381268\pi\) | |||||||
\(192\) | −5.01546 | + | 0.527146i | −0.361959 | + | 0.0380435i | ||||
\(193\) | −3.35372 | + | 4.14150i | −0.241406 | + | 0.298112i | −0.883421 | − | 0.468581i | \(-0.844766\pi\) |
0.642014 | + | 0.766692i | \(0.278099\pi\) | |||||||
\(194\) | 0.424956 | + | 1.30788i | 0.0305101 | + | 0.0939004i | ||||
\(195\) | 4.17204 | + | 11.7399i | 0.298766 | + | 0.840710i | ||||
\(196\) | 14.5854 | + | 10.5969i | 1.04182 | + | 0.756924i | ||||
\(197\) | 0.874829 | + | 3.26490i | 0.0623290 | + | 0.232615i | 0.990062 | − | 0.140629i | \(-0.0449123\pi\) |
−0.927733 | + | 0.373243i | \(0.878246\pi\) | |||||||
\(198\) | −1.90171 | + | 8.04652i | −0.135149 | + | 0.571841i | ||||
\(199\) | 15.9650 | − | 9.21740i | 1.13173 | − | 0.653404i | 0.187360 | − | 0.982291i | \(-0.440007\pi\) |
0.944369 | + | 0.328887i | \(0.106674\pi\) | |||||||
\(200\) | 37.8515 | − | 5.99509i | 2.67651 | − | 0.423917i | ||||
\(201\) | 3.56129 | + | 2.31273i | 0.251194 | + | 0.163128i | ||||
\(202\) | −0.381861 | − | 7.28634i | −0.0268677 | − | 0.512665i | ||||
\(203\) | −1.17941 | + | 7.44647i | −0.0827780 | + | 0.522640i | ||||
\(204\) | −2.40128 | + | 5.39335i | −0.168123 | + | 0.377610i | ||||
\(205\) | 42.6711 | + | 9.07001i | 2.98028 | + | 0.633477i | ||||
\(206\) | 0.525816 | − | 10.0332i | 0.0366353 | − | 0.699043i | ||||
\(207\) | −1.35631 | + | 1.86680i | −0.0942700 | + | 0.129751i | ||||
\(208\) | 2.48953 | − | 19.0741i | 0.172618 | − | 1.32255i | ||||
\(209\) | −23.2911 | − | 8.15519i | −1.61108 | − | 0.564106i | ||||
\(210\) | 13.7298 | − | 3.67889i | 0.947447 | − | 0.253868i | ||||
\(211\) | −7.47668 | − | 16.7929i | −0.514716 | − | 1.15607i | −0.964776 | − | 0.263072i | \(-0.915264\pi\) |
0.450060 | − | 0.892998i | \(-0.351402\pi\) | |||||||
\(212\) | −4.81023 | − | 22.6304i | −0.330368 | − | 1.55426i | ||||
\(213\) | 4.95689 | − | 9.72844i | 0.339640 | − | 0.666582i | ||||
\(214\) | 17.5884 | + | 45.8193i | 1.20232 | + | 3.13214i | ||||
\(215\) | 8.36604 | + | 21.7943i | 0.570560 | + | 1.48636i | ||||
\(216\) | −2.50668 | + | 4.91964i | −0.170558 | + | 0.334739i | ||||
\(217\) | −0.830809 | − | 3.90865i | −0.0563990 | − | 0.265336i | ||||
\(218\) | −12.8585 | − | 28.8806i | −0.870886 | − | 1.95604i | ||||
\(219\) | −11.3047 | + | 3.02907i | −0.763898 | + | 0.204686i | ||||
\(220\) | 29.2705 | − | 38.4268i | 1.97341 | − | 2.59073i | ||||
\(221\) | 4.01013 | + | 3.06999i | 0.269751 | + | 0.206510i | ||||
\(222\) | −1.14932 | + | 1.58191i | −0.0771376 | + | 0.106171i | ||||
\(223\) | −0.874209 | + | 16.6809i | −0.0585414 | + | 1.11704i | 0.798569 | + | 0.601903i | \(0.205591\pi\) |
−0.857110 | + | 0.515133i | \(0.827743\pi\) | |||||||
\(224\) | −3.64300 | − | 0.774344i | −0.243408 | − | 0.0517380i | ||||
\(225\) | −2.82309 | + | 6.34076i | −0.188206 | + | 0.422717i | ||||
\(226\) | −0.882017 | + | 5.56884i | −0.0586709 | + | 0.370434i | ||||
\(227\) | −0.922127 | − | 17.5952i | −0.0612037 | − | 1.16784i | −0.840726 | − | 0.541462i | \(-0.817871\pi\) |
0.779522 | − | 0.626375i | \(-0.215462\pi\) | |||||||
\(228\) | −26.3013 | − | 17.0802i | −1.74184 | − | 1.13117i | ||||
\(229\) | 1.84481 | − | 0.292189i | 0.121908 | − | 0.0193084i | −0.0951822 | − | 0.995460i | \(-0.530343\pi\) |
0.217090 | + | 0.976152i | \(0.430343\pi\) | |||||||
\(230\) | 17.2148 | − | 9.93897i | 1.13511 | − | 0.655356i | ||||
\(231\) | 2.84285 | − | 4.67616i | 0.187046 | − | 0.307669i | ||||
\(232\) | 6.52965 | + | 24.3690i | 0.428692 | + | 1.59990i | ||||
\(233\) | −12.8387 | − | 9.32789i | −0.841094 | − | 0.611090i | 0.0815822 | − | 0.996667i | \(-0.474003\pi\) |
−0.922676 | + | 0.385576i | \(0.874003\pi\) | |||||||
\(234\) | 6.84139 | + | 5.82993i | 0.447235 | + | 0.381114i | ||||
\(235\) | 8.00187 | + | 24.6272i | 0.521984 | + | 1.60650i | ||||
\(236\) | −8.15592 | + | 10.0717i | −0.530905 | + | 0.655613i | ||||
\(237\) | −8.19165 | + | 0.860978i | −0.532105 | + | 0.0559265i | ||||
\(238\) | 3.85535 | − | 4.28181i | 0.249906 | − | 0.277548i | ||||
\(239\) | 4.81060 | + | 9.44133i | 0.311172 | + | 0.610709i | 0.992635 | − | 0.121144i | \(-0.0386561\pi\) |
−0.681463 | + | 0.731852i | \(0.738656\pi\) | |||||||
\(240\) | 14.3271 | − | 11.6019i | 0.924812 | − | 0.748898i | ||||
\(241\) | −1.61229 | + | 6.01716i | −0.103857 | + | 0.387599i | −0.998213 | − | 0.0597564i | \(-0.980968\pi\) |
0.894356 | + | 0.447356i | \(0.147634\pi\) | |||||||
\(242\) | −3.05935 | − | 27.2513i | −0.196662 | − | 1.75178i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −48.4222 | + | 21.5589i | −3.09991 | + | 1.38017i | ||||
\(245\) | 14.7606 | + | 0.773571i | 0.943021 | + | 0.0494217i | ||||
\(246\) | 29.9318 | − | 9.72542i | 1.90838 | − | 0.620070i | ||||
\(247\) | −19.4393 | + | 18.4884i | −1.23689 | + | 1.17639i | ||||
\(248\) | −7.85966 | − | 10.8179i | −0.499089 | − | 0.686937i | ||||
\(249\) | 7.79697 | − | 5.06341i | 0.494113 | − | 0.320881i | ||||
\(250\) | 12.4248 | − | 11.1874i | 0.785816 | − | 0.707552i | ||||
\(251\) | 26.1689 | + | 2.75046i | 1.65177 | + | 0.173608i | 0.884118 | − | 0.467264i | \(-0.154760\pi\) |
0.767648 | + | 0.640871i | \(0.221427\pi\) | |||||||
\(252\) | 4.91760 | − | 4.91760i | 0.309780 | − | 0.309780i | ||||
\(253\) | 2.14761 | − | 7.34557i | 0.135019 | − | 0.461812i | ||||
\(254\) | −35.7977 | − | 9.59197i | −2.24615 | − | 0.601854i | ||||
\(255\) | 0.757180 | + | 4.78065i | 0.0474165 | + | 0.299376i | ||||
\(256\) | 31.7993 | − | 6.75916i | 1.98746 | − | 0.422447i | ||||
\(257\) | −4.81619 | + | 22.6584i | −0.300426 | + | 1.41339i | 0.526066 | + | 0.850444i | \(0.323666\pi\) |
−0.826492 | + | 0.562949i | \(0.809667\pi\) | |||||||
\(258\) | 13.0885 | + | 10.5989i | 0.814856 | + | 0.659857i | ||||
\(259\) | 1.04702 | − | 0.760708i | 0.0650589 | − | 0.0472681i | ||||
\(260\) | −22.6603 | − | 47.3723i | −1.40533 | − | 2.93791i | ||||
\(261\) | −4.34558 | − | 1.41196i | −0.268984 | − | 0.0873984i | ||||
\(262\) | −13.4279 | − | 5.15448i | −0.829578 | − | 0.318445i | ||||
\(263\) | 10.6402 | + | 6.14312i | 0.656103 | + | 0.378801i | 0.790791 | − | 0.612087i | \(-0.209670\pi\) |
−0.134688 | + | 0.990888i | \(0.543003\pi\) | |||||||
\(264\) | 2.32601 | − | 18.1642i | 0.143156 | − | 1.11793i | ||||
\(265\) | −13.4125 | − | 13.4125i | −0.823925 | − | 0.823925i | ||||
\(266\) | 19.2611 | + | 23.7855i | 1.18098 | + | 1.45838i | ||||
\(267\) | 5.08638 | − | 7.83234i | 0.311281 | − | 0.479331i | ||||
\(268\) | −15.9469 | − | 8.12535i | −0.974112 | − | 0.496335i | ||||
\(269\) | 18.4397 | + | 8.20987i | 1.12429 | + | 0.500565i | 0.882758 | − | 0.469829i | \(-0.155684\pi\) |
0.241529 | + | 0.970393i | \(0.422351\pi\) | |||||||
\(270\) | 0.900463 | + | 8.56733i | 0.0548004 | + | 0.521391i | ||||
\(271\) | 10.7795 | + | 16.5990i | 0.654809 | + | 1.00832i | 0.997623 | + | 0.0689139i | \(0.0219534\pi\) |
−0.342814 | + | 0.939403i | \(0.611380\pi\) | |||||||
\(272\) | 2.30925 | − | 7.10715i | 0.140019 | − | 0.430934i | ||||
\(273\) | −3.11412 | − | 5.06909i | −0.188475 | − | 0.306795i | ||||
\(274\) | 46.2430i | 2.79364i | ||||||||
\(275\) | 1.72493 | − | 22.9554i | 0.104017 | − | 1.38426i | ||||
\(276\) | 4.86283 | − | 8.42266i | 0.292708 | − | 0.506985i | ||||
\(277\) | 0.324378 | − | 3.08625i | 0.0194900 | − | 0.185435i | −0.980446 | − | 0.196791i | \(-0.936948\pi\) |
0.999936 | + | 0.0113558i | \(0.00361473\pi\) | |||||||
\(278\) | −13.0419 | + | 6.64517i | −0.782200 | + | 0.398551i | ||||
\(279\) | 2.41845 | − | 0.126746i | 0.144789 | − | 0.00758806i | ||||
\(280\) | −29.3908 | + | 11.2821i | −1.75643 | + | 0.674232i | ||||
\(281\) | −4.72638 | − | 0.748584i | −0.281952 | − | 0.0446568i | 0.0138568 | − | 0.999904i | \(-0.495589\pi\) |
−0.295809 | + | 0.955247i | \(0.595589\pi\) | |||||||
\(282\) | 13.8829 | + | 12.5002i | 0.826714 | + | 0.744376i | ||||
\(283\) | −7.40253 | − | 8.22134i | −0.440035 | − | 0.488708i | 0.481806 | − | 0.876278i | \(-0.339981\pi\) |
−0.921840 | + | 0.387570i | \(0.873315\pi\) | |||||||
\(284\) | −16.4919 | + | 42.9628i | −0.978614 | + | 2.54938i | ||||
\(285\) | −25.7113 | −1.52300 | ||||||||
\(286\) | −27.8807 | − | 10.5539i | −1.64862 | − | 0.624062i | ||||
\(287\) | −20.8306 | −1.22959 | ||||||||
\(288\) | 0.808900 | − | 2.10726i | 0.0476649 | − | 0.124171i | ||||
\(289\) | −10.0624 | − | 11.1754i | −0.591905 | − | 0.657377i | ||||
\(290\) | 29.2514 | + | 26.3380i | 1.71770 | + | 1.54662i | ||||
\(291\) | 0.544838 | + | 0.0862939i | 0.0319390 | + | 0.00505864i | ||||
\(292\) | 46.0515 | − | 17.6775i | 2.69496 | − | 1.03450i | ||||
\(293\) | −5.84708 | + | 0.306433i | −0.341590 | + | 0.0179020i | −0.222360 | − | 0.974965i | \(-0.571376\pi\) |
−0.119230 | + | 0.992867i | \(0.538043\pi\) | |||||||
\(294\) | 9.50119 | − | 4.84110i | 0.554121 | − | 0.282339i | ||||
\(295\) | −1.11064 | + | 10.5671i | −0.0646641 | + | 0.615237i | ||||
\(296\) | 2.16537 | − | 3.75053i | 0.125860 | − | 0.217995i | ||||
\(297\) | 2.52959 | + | 2.14504i | 0.146782 | + | 0.124468i | ||||
\(298\) | − | 31.4255i | − | 1.82043i | ||||||
\(299\) | −6.04133 | − | 5.72023i | −0.349379 | − | 0.330809i | ||||
\(300\) | 9.04008 | − | 27.8225i | 0.521929 | − | 1.60633i | ||||
\(301\) | −6.07117 | − | 9.34878i | −0.349936 | − | 0.538855i | ||||
\(302\) | −2.62128 | − | 24.9398i | −0.150838 | − | 1.43512i | ||||
\(303\) | −2.67375 | − | 1.19043i | −0.153603 | − | 0.0683885i | ||||
\(304\) | 35.3693 | + | 18.0216i | 2.02857 | + | 1.03361i | ||||
\(305\) | −23.6680 | + | 36.4455i | −1.35522 | + | 2.08686i | ||||
\(306\) | 2.19754 | + | 2.71373i | 0.125625 | + | 0.155134i | ||||
\(307\) | 16.6715 | + | 16.6715i | 0.951494 | + | 0.951494i | 0.998877 | − | 0.0473828i | \(-0.0150881\pi\) |
−0.0473828 | + | 0.998877i | \(0.515088\pi\) | |||||||
\(308\) | −9.85627 | + | 20.8537i | −0.561613 | + | 1.18825i | ||||
\(309\) | −3.49020 | − | 2.01507i | −0.198550 | − | 0.114633i | ||||
\(310\) | −19.4767 | − | 7.47641i | −1.10620 | − | 0.424632i | ||||
\(311\) | 27.3936 | + | 8.90071i | 1.55335 | + | 0.504713i | 0.955020 | − | 0.296540i | \(-0.0958328\pi\) |
0.598326 | + | 0.801253i | \(0.295833\pi\) | |||||||
\(312\) | −16.4191 | − | 11.2576i | −0.929550 | − | 0.637338i | ||||
\(313\) | 6.43964 | − | 4.67867i | 0.363990 | − | 0.264454i | −0.390724 | − | 0.920508i | \(-0.627775\pi\) |
0.754714 | + | 0.656053i | \(0.227775\pi\) | |||||||
\(314\) | 6.49321 | + | 5.25810i | 0.366433 | + | 0.296732i | ||||
\(315\) | 1.18546 | − | 5.57713i | 0.0667929 | − | 0.314236i | ||||
\(316\) | 33.9579 | − | 7.21797i | 1.91028 | − | 0.406043i | ||||
\(317\) | −0.971819 | − | 6.13582i | −0.0545828 | − | 0.344622i | −0.999833 | − | 0.0182756i | \(-0.994182\pi\) |
0.945250 | − | 0.326347i | \(-0.105818\pi\) | |||||||
\(318\) | −13.2180 | − | 3.54176i | −0.741230 | − | 0.198612i | ||||
\(319\) | 15.1477 | − | 0.450294i | 0.848106 | − | 0.0252116i | ||||
\(320\) | 12.3225 | − | 12.3225i | 0.688848 | − | 0.688848i | ||||
\(321\) | 19.5793 | + | 2.05787i | 1.09281 | + | 0.114859i | ||||
\(322\) | −7.05370 | + | 6.35118i | −0.393087 | + | 0.353937i | ||||
\(323\) | −8.74073 | + | 5.67629i | −0.486347 | + | 0.315837i | ||||
\(324\) | 2.47741 | + | 3.40986i | 0.137634 | + | 0.189437i | ||||
\(325\) | −21.3523 | − | 13.0520i | −1.18441 | − | 0.723995i | ||||
\(326\) | 14.5869 | − | 4.73959i | 0.807896 | − | 0.262501i | ||||
\(327\) | −12.6639 | − | 0.663686i | −0.700314 | − | 0.0367019i | ||||
\(328\) | −63.6788 | + | 28.3516i | −3.51607 | + | 1.56546i | ||||
\(329\) | −6.18232 | − | 10.7081i | −0.340842 | − | 0.590356i | ||||
\(330\) | −12.3914 | − | 25.7442i | −0.682122 | − | 1.41717i | ||||
\(331\) | −6.64126 | + | 24.7855i | −0.365037 | + | 1.36234i | 0.502334 | + | 0.864674i | \(0.332475\pi\) |
−0.867371 | + | 0.497662i | \(0.834192\pi\) | |||||||
\(332\) | −30.4520 | + | 24.6595i | −1.67127 | + | 1.35337i | ||||
\(333\) | 0.356087 | + | 0.698861i | 0.0195135 | + | 0.0382973i | ||||
\(334\) | −6.86555 | + | 7.62497i | −0.375666 | + | 0.417220i | ||||
\(335\) | −14.5931 | + | 1.53380i | −0.797307 | + | 0.0838003i | ||||
\(336\) | −5.53988 | + | 6.84119i | −0.302225 | + | 0.373217i | ||||
\(337\) | −7.14970 | − | 22.0045i | −0.389469 | − | 1.19866i | −0.933186 | − | 0.359394i | \(-0.882984\pi\) |
0.543717 | − | 0.839268i | \(-0.317016\pi\) | |||||||
\(338\) | −24.0358 | + | 21.7391i | −1.30737 | + | 1.18245i | ||||
\(339\) | 1.82973 | + | 1.32938i | 0.0993776 | + | 0.0722020i | ||||
\(340\) | −5.28010 | − | 19.7056i | −0.286354 | − | 1.06869i | ||||
\(341\) | −7.40977 | + | 3.09999i | −0.401262 | + | 0.167874i | ||||
\(342\) | −16.0639 | + | 9.27450i | −0.868637 | + | 0.501508i | ||||
\(343\) | −18.3789 | + | 2.91093i | −0.992367 | + | 0.157176i | ||||
\(344\) | −31.2837 | − | 20.3159i | −1.68670 | − | 1.09536i | ||||
\(345\) | −0.417308 | − | 7.96272i | −0.0224671 | − | 0.428698i | ||||
\(346\) | 9.63656 | − | 60.8429i | 0.518065 | − | 3.27093i | ||||
\(347\) | −8.57997 | + | 19.2709i | −0.460597 | + | 1.03452i | 0.522702 | + | 0.852516i | \(0.324924\pi\) |
−0.983298 | + | 0.182001i | \(0.941742\pi\) | |||||||
\(348\) | 18.8376 | + | 4.00405i | 1.00980 | + | 0.214639i | ||||
\(349\) | 1.81747 | − | 34.6795i | 0.0972872 | − | 1.85635i | −0.319801 | − | 0.947485i | \(-0.603616\pi\) |
0.417089 | − | 0.908866i | \(-0.363050\pi\) | |||||||
\(350\) | −16.7816 | + | 23.0979i | −0.897014 | + | 1.23463i | ||||
\(351\) | 3.32956 | − | 1.38349i | 0.177719 | − | 0.0738455i | ||||
\(352\) | −0.169486 | + | 7.48429i | −0.00903363 | + | 0.398914i | ||||
\(353\) | 12.8966 | − | 3.45562i | 0.686415 | − | 0.183924i | 0.101277 | − | 0.994858i | \(-0.467707\pi\) |
0.585138 | + | 0.810934i | \(0.301040\pi\) | |||||||
\(354\) | 3.11781 | + | 7.00272i | 0.165710 | + | 0.372190i | ||||
\(355\) | 7.84438 | + | 36.9049i | 0.416336 | + | 1.95871i | ||||
\(356\) | −17.8700 | + | 35.0719i | −0.947111 | + | 1.85881i | ||||
\(357\) | −0.828263 | − | 2.15770i | −0.0438363 | − | 0.114198i | ||||
\(358\) | 1.57812 | + | 4.11114i | 0.0834063 | + | 0.217281i | ||||
\(359\) | 8.05677 | − | 15.8123i | 0.425220 | − | 0.834541i | −0.574650 | − | 0.818399i | \(-0.694862\pi\) |
0.999870 | − | 0.0161417i | \(-0.00513828\pi\) | |||||||
\(360\) | −3.96687 | − | 18.6627i | −0.209073 | − | 0.983610i | ||||
\(361\) | −14.7898 | − | 33.2184i | −0.778411 | − | 1.74834i | ||||
\(362\) | −0.632150 | + | 0.169384i | −0.0332251 | + | 0.00890263i | ||||
\(363\) | −10.2970 | − | 3.86928i | −0.540454 | − | 0.203084i | ||||
\(364\) | 15.2868 | + | 19.8763i | 0.801247 | + | 1.04180i | ||||
\(365\) | 23.7711 | − | 32.7181i | 1.24424 | − | 1.71254i | ||||
\(366\) | −1.64078 | + | 31.3079i | −0.0857648 | + | 1.63649i | ||||
\(367\) | −19.8121 | − | 4.21118i | −1.03418 | − | 0.219822i | −0.340606 | − | 0.940206i | \(-0.610632\pi\) |
−0.693575 | + | 0.720384i | \(0.743965\pi\) | |||||||
\(368\) | −5.00717 | + | 11.2463i | −0.261017 | + | 0.586253i | ||||
\(369\) | 1.97490 | − | 12.4690i | 0.102809 | − | 0.649111i | ||||
\(370\) | −0.353624 | − | 6.74754i | −0.0183840 | − | 0.350788i | ||||
\(371\) | 7.59607 | + | 4.93295i | 0.394369 | + | 0.256106i | ||||
\(372\) | −10.0817 | + | 1.59678i | −0.522709 | + | 0.0827890i | ||||
\(373\) | 22.9421 | − | 13.2456i | 1.18790 | − | 0.685833i | 0.230070 | − | 0.973174i | \(-0.426105\pi\) |
0.957828 | + | 0.287341i | \(0.0927712\pi\) | |||||||
\(374\) | −9.89610 | − | 6.01628i | −0.511715 | − | 0.311094i | ||||
\(375\) | −1.73580 | − | 6.47809i | −0.0896363 | − | 0.334527i | ||||
\(376\) | −33.4736 | − | 24.3200i | −1.72627 | − | 1.25421i | ||||
\(377\) | 7.07589 | − | 14.8776i | 0.364427 | − | 0.766233i | ||||
\(378\) | −1.27112 | − | 3.91210i | −0.0653793 | − | 0.201217i | ||||
\(379\) | −0.493465 | + | 0.609378i | −0.0253476 | + | 0.0313017i | −0.789662 | − | 0.613542i | \(-0.789744\pi\) |
0.764315 | + | 0.644844i | \(0.223077\pi\) | |||||||
\(380\) | 107.775 | − | 11.3276i | 5.52872 | − | 0.581092i | ||||
\(381\) | −9.94737 | + | 11.0477i | −0.509619 | + | 0.565990i | ||||
\(382\) | −14.0210 | − | 27.5178i | −0.717379 | − | 1.40793i | ||||
\(383\) | 21.6075 | − | 17.4974i | 1.10409 | − | 0.894077i | 0.109102 | − | 0.994031i | \(-0.465203\pi\) |
0.994992 | + | 0.0999531i | \(0.0318693\pi\) | |||||||
\(384\) | 4.42232 | − | 16.5043i | 0.225676 | − | 0.842232i | ||||
\(385\) | 2.53464 | + | 18.7399i | 0.129177 | + | 0.955072i | ||||
\(386\) | −6.64262 | − | 11.5054i | −0.338101 | − | 0.585607i | ||||
\(387\) | 6.17169 | − | 2.74781i | 0.313725 | − | 0.139679i | ||||
\(388\) | −2.32183 | − | 0.121682i | −0.117873 | − | 0.00617747i | ||||
\(389\) | 20.2770 | − | 6.58841i | 1.02809 | − | 0.334046i | 0.254053 | − | 0.967190i | \(-0.418236\pi\) |
0.774034 | + | 0.633144i | \(0.218236\pi\) | |||||||
\(390\) | −31.0504 | − | 0.778468i | −1.57230 | − | 0.0394192i | ||||
\(391\) | −1.89980 | − | 2.61485i | −0.0960771 | − | 0.132239i | ||||
\(392\) | −19.8074 | + | 12.8631i | −1.00042 | + | 0.649682i | ||||
\(393\) | −4.28761 | + | 3.86058i | −0.216281 | + | 0.194741i | ||||
\(394\) | −8.38022 | − | 0.880796i | −0.422189 | − | 0.0443739i | ||||
\(395\) | 20.1261 | − | 20.1261i | 1.01265 | − | 1.01265i | ||||
\(396\) | −11.5484 | − | 7.87697i | −0.580328 | − | 0.395832i | ||||
\(397\) | 25.5371 | + | 6.84265i | 1.28167 | + | 0.343423i | 0.834491 | − | 0.551021i | \(-0.185762\pi\) |
0.447180 | + | 0.894444i | \(0.352428\pi\) | |||||||
\(398\) | 7.18927 | + | 45.3913i | 0.360366 | + | 2.27526i | ||||
\(399\) | 12.0088 | − | 2.55255i | 0.601193 | − | 0.127787i | ||||
\(400\) | −7.69891 | + | 36.2205i | −0.384946 | + | 1.81103i | ||||
\(401\) | −11.2533 | − | 9.11275i | −0.561964 | − | 0.455069i | 0.305765 | − | 0.952107i | \(-0.401088\pi\) |
−0.867729 | + | 0.497038i | \(0.834421\pi\) | |||||||
\(402\) | −8.56423 | + | 6.22228i | −0.427145 | + | 0.310339i | ||||
\(403\) | −0.675392 | + | 8.70565i | −0.0336437 | + | 0.433660i | ||||
\(404\) | 11.7321 | + | 3.81199i | 0.583694 | + | 0.189654i | ||||
\(405\) | 3.22603 | + | 1.23836i | 0.160303 | + | 0.0615345i | ||||
\(406\) | −16.2770 | − | 9.39755i | −0.807816 | − | 0.466393i | ||||
\(407\) | −1.89331 | − | 1.78399i | −0.0938478 | − | 0.0884293i | ||||
\(408\) | −5.46874 | − | 5.46874i | −0.270743 | − | 0.270743i | ||||
\(409\) | −10.8981 | − | 13.4581i | −0.538879 | − | 0.665460i | 0.432876 | − | 0.901454i | \(-0.357499\pi\) |
−0.971755 | + | 0.235994i | \(0.924165\pi\) | |||||||
\(410\) | −59.2314 | + | 91.2084i | −2.92523 | + | 4.50446i | ||||
\(411\) | 16.5277 | + | 8.42129i | 0.815252 | + | 0.415392i | ||||
\(412\) | 15.5177 | + | 6.90894i | 0.764504 | + | 0.340379i | ||||
\(413\) | −0.530330 | − | 5.04575i | −0.0260958 | − | 0.248285i | ||||
\(414\) | −3.13302 | − | 4.82442i | −0.153979 | − | 0.237107i | ||||
\(415\) | −9.92736 | + | 30.5533i | −0.487315 | + | 1.49980i | ||||
\(416\) | 7.15646 | + | 3.87532i | 0.350874 | + | 0.190003i | ||||
\(417\) | 5.87145i | 0.287526i | ||||||||
\(418\) | 39.7883 | − | 46.9213i | 1.94611 | − | 2.29500i | ||||
\(419\) | 12.6316 | − | 21.8785i | 0.617093 | − | 1.06884i | −0.372920 | − | 0.927863i | \(-0.621644\pi\) |
0.990013 | − | 0.140973i | \(-0.0450231\pi\) | |||||||
\(420\) | −2.51200 | + | 23.9001i | −0.122573 | + | 1.16621i | ||||
\(421\) | −14.3825 | + | 7.32824i | −0.700959 | + | 0.357157i | −0.767873 | − | 0.640602i | \(-0.778685\pi\) |
0.0669138 | + | 0.997759i | \(0.478685\pi\) | |||||||
\(422\) | 45.7629 | − | 2.39833i | 2.22771 | − | 0.116749i | ||||
\(423\) | 6.99590 | − | 2.68548i | 0.340152 | − | 0.130572i | ||||
\(424\) | 29.9351 | + | 4.74125i | 1.45378 | + | 0.230256i | ||||
\(425\) | −7.22494 | − | 6.50536i | −0.350461 | − | 0.315557i | ||||
\(426\) | 18.2133 | + | 20.2279i | 0.882435 | + | 0.980043i | ||||
\(427\) | 7.43625 | − | 19.3721i | 0.359865 | − | 0.937481i | ||||
\(428\) | −82.9777 | −4.01088 | ||||||||
\(429\) | −8.84940 | + | 8.04290i | −0.427253 | + | 0.388315i | ||||
\(430\) | −58.1976 | −2.80654 | ||||||||
\(431\) | −5.22183 | + | 13.6033i | −0.251527 | + | 0.655249i | −0.999968 | − | 0.00795113i | \(-0.997469\pi\) |
0.748442 | + | 0.663201i | \(0.230802\pi\) | |||||||
\(432\) | −3.56985 | − | 3.96472i | −0.171755 | − | 0.190753i | ||||
\(433\) | −10.2653 | − | 9.24289i | −0.493317 | − | 0.444185i | 0.384539 | − | 0.923109i | \(-0.374360\pi\) |
−0.877856 | + | 0.478924i | \(0.841027\pi\) | |||||||
\(434\) | 9.83912 | + | 1.55836i | 0.472293 | + | 0.0748039i | ||||
\(435\) | 14.7404 | − | 5.65832i | 0.706749 | − | 0.271296i | ||||
\(436\) | 53.3759 | − | 2.79731i | 2.55624 | − | 0.133967i | ||||
\(437\) | 15.2977 | − | 7.79458i | 0.731790 | − | 0.372865i | ||||
\(438\) | 3.04974 | − | 29.0163i | 0.145722 | − | 1.38645i | ||||
\(439\) | 4.47300 | − | 7.74746i | 0.213485 | − | 0.369766i | −0.739318 | − | 0.673356i | \(-0.764852\pi\) |
0.952803 | + | 0.303590i | \(0.0981853\pi\) | |||||||
\(440\) | 33.2544 | + | 53.8377i | 1.58534 | + | 2.56661i | ||||
\(441\) | − | 4.27743i | − | 0.203687i | ||||||
\(442\) | −10.7277 | + | 6.59036i | −0.510262 | + | 0.313472i | ||||
\(443\) | 11.8566 | − | 36.4907i | 0.563322 | − | 1.73373i | −0.109563 | − | 0.993980i | \(-0.534945\pi\) |
0.672885 | − | 0.739747i | \(-0.265055\pi\) | |||||||
\(444\) | −1.80052 | − | 2.77255i | −0.0854488 | − | 0.131580i | ||||
\(445\) | 3.37327 | + | 32.0946i | 0.159909 | + | 1.52143i | ||||
\(446\) | −38.0417 | − | 16.9372i | −1.80133 | − | 0.802002i | ||||
\(447\) | −11.2318 | − | 5.72289i | −0.531246 | − | 0.270683i | ||||
\(448\) | −4.53205 | + | 6.97874i | −0.214119 | + | 0.329714i | ||||
\(449\) | 10.3603 | + | 12.7940i | 0.488935 | + | 0.603784i | 0.960580 | − | 0.278004i | \(-0.0896729\pi\) |
−0.471645 | + | 0.881789i | \(0.656340\pi\) | |||||||
\(450\) | −12.2352 | − | 12.2352i | −0.576772 | − | 0.576772i | ||||
\(451\) | 7.77591 | + | 41.1421i | 0.366154 | + | 1.93731i | ||||
\(452\) | −8.25544 | − | 4.76628i | −0.388303 | − | 0.224187i | ||||
\(453\) | −9.39109 | − | 3.60490i | −0.441232 | − | 0.169373i | ||||
\(454\) | 41.7745 | + | 13.5734i | 1.96057 | + | 0.637029i | ||||
\(455\) | 19.3863 | + | 6.84077i | 0.908846 | + | 0.320700i | ||||
\(456\) | 33.2366 | − | 24.1478i | 1.55645 | − | 1.13082i | ||||
\(457\) | 26.6303 | + | 21.5648i | 1.24571 | + | 1.00876i | 0.999215 | + | 0.0396147i | \(0.0126130\pi\) |
0.246497 | + | 0.969143i | \(0.420720\pi\) | |||||||
\(458\) | −0.968108 | + | 4.55459i | −0.0452367 | + | 0.212822i | ||||
\(459\) | 1.37011 | − | 0.291225i | 0.0639511 | − | 0.0135932i | ||||
\(460\) | 5.25737 | + | 33.1937i | 0.245126 | + | 1.54766i | ||||
\(461\) | −21.6507 | − | 5.80129i | −1.00837 | − | 0.270193i | −0.283424 | − | 0.958995i | \(-0.591470\pi\) |
−0.724950 | + | 0.688802i | \(0.758137\pi\) | |||||||
\(462\) | 8.34339 | + | 10.7940i | 0.388170 | + | 0.502183i | ||||
\(463\) | 9.74204 | − | 9.74204i | 0.452751 | − | 0.452751i | −0.443516 | − | 0.896267i | \(-0.646269\pi\) |
0.896267 | + | 0.443516i | \(0.146269\pi\) | |||||||
\(464\) | −24.2435 | − | 2.54809i | −1.12548 | − | 0.118292i | ||||
\(465\) | −6.21904 | + | 5.59965i | −0.288401 | + | 0.259678i | ||||
\(466\) | 33.1795 | − | 21.5470i | 1.53701 | − | 0.998148i | ||||
\(467\) | −3.23872 | − | 4.45771i | −0.149870 | − | 0.206278i | 0.727481 | − | 0.686128i | \(-0.240691\pi\) |
−0.877351 | + | 0.479850i | \(0.840691\pi\) | |||||||
\(468\) | −13.3471 | + | 7.26613i | −0.616969 | + | 0.335877i | ||||
\(469\) | 6.66365 | − | 2.16515i | 0.307699 | − | 0.0999774i | ||||
\(470\) | −64.4656 | − | 3.37850i | −2.97357 | − | 0.155838i | ||||
\(471\) | 3.06177 | − | 1.36319i | 0.141079 | − | 0.0628124i | ||||
\(472\) | −8.48877 | − | 14.7030i | −0.390727 | − | 0.676759i | ||||
\(473\) | −16.1983 | + | 15.4809i | −0.744798 | + | 0.711812i | ||||
\(474\) | 5.31457 | − | 19.8342i | 0.244106 | − | 0.911016i | ||||
\(475\) | 40.1347 | − | 32.5004i | 1.84151 | − | 1.49122i | ||||
\(476\) | 4.42247 | + | 8.67959i | 0.202704 | + | 0.397828i | ||||
\(477\) | −3.67299 | + | 4.07926i | −0.168174 | + | 0.186777i | ||||
\(478\) | −26.2712 | + | 2.76122i | −1.20162 | + | 0.126295i | ||||
\(479\) | −10.1582 | + | 12.5443i | −0.464140 | + | 0.573166i | −0.954446 | − | 0.298385i | \(-0.903552\pi\) |
0.490305 | + | 0.871551i | \(0.336885\pi\) | |||||||
\(480\) | 2.41027 | + | 7.41804i | 0.110013 | + | 0.338586i | ||||
\(481\) | −2.66475 | + | 0.946980i | −0.121502 | + | 0.0431786i | ||||
\(482\) | −12.5638 | − | 9.12811i | −0.572264 | − | 0.415774i | ||||
\(483\) | 0.985429 | + | 3.67767i | 0.0448386 | + | 0.167340i | ||||
\(484\) | 44.8670 | + | 11.6824i | 2.03941 | + | 0.531019i | ||||
\(485\) | −1.65080 | + | 0.953092i | −0.0749591 | + | 0.0432777i | ||||
\(486\) | 2.46226 | − | 0.389984i | 0.111690 | − | 0.0176900i | ||||
\(487\) | 10.7386 | + | 6.97372i | 0.486612 | + | 0.316009i | 0.764522 | − | 0.644598i | \(-0.222975\pi\) |
−0.277910 | + | 0.960607i | \(0.589642\pi\) | |||||||
\(488\) | −3.63402 | − | 69.3413i | −0.164505 | − | 3.13893i | ||||
\(489\) | 0.962446 | − | 6.07664i | 0.0435233 | − | 0.274795i | ||||
\(490\) | −14.9874 | + | 33.6624i | −0.677064 | + | 1.52071i | ||||
\(491\) | −23.0298 | − | 4.89515i | −1.03932 | − | 0.220915i | −0.343518 | − | 0.939146i | \(-0.611619\pi\) |
−0.695804 | + | 0.718231i | \(0.744952\pi\) | |||||||
\(492\) | −2.78478 | + | 53.1368i | −0.125548 | + | 2.39559i | ||||
\(493\) | 3.76192 | − | 5.17784i | 0.169428 | − | 0.233198i | ||||
\(494\) | −25.6625 | − | 61.7599i | −1.15461 | − | 2.77871i | ||||
\(495\) | −11.4578 | − | 0.259469i | −0.514991 | − | 0.0116623i | ||||
\(496\) | 12.4800 | − | 3.34402i | 0.560370 | − | 0.150151i | ||||
\(497\) | −7.32766 | − | 16.4582i | −0.328690 | − | 0.738251i | ||||
\(498\) | 4.81867 | + | 22.6701i | 0.215930 | + | 1.01587i | ||||
\(499\) | 6.26286 | − | 12.2915i | 0.280364 | − | 0.550245i | −0.707285 | − | 0.706929i | \(-0.750080\pi\) |
0.987649 | + | 0.156683i | \(0.0500802\pi\) | |||||||
\(500\) | 10.1300 | + | 26.3897i | 0.453029 | + | 1.18018i | ||||
\(501\) | 1.47496 | + | 3.84240i | 0.0658962 | + | 0.171666i | ||||
\(502\) | −29.7805 | + | 58.4475i | −1.32917 | + | 2.60864i | ||||
\(503\) | −1.17048 | − | 5.50666i | −0.0521890 | − | 0.245530i | 0.944319 | − | 0.329033i | \(-0.106723\pi\) |
−0.996508 | + | 0.0835028i | \(0.973389\pi\) | |||||||
\(504\) | 3.70557 | + | 8.32285i | 0.165059 | + | 0.370729i | ||||
\(505\) | 9.76904 | − | 2.61761i | 0.434717 | − | 0.116482i | ||||
\(506\) | 15.1772 | + | 11.5608i | 0.674709 | + | 0.513940i | ||||
\(507\) | 3.39262 | + | 12.5495i | 0.150671 | + | 0.557343i | ||||
\(508\) | 36.8294 | − | 50.6914i | 1.63404 | − | 2.24907i | ||||
\(509\) | −0.757582 | + | 14.4555i | −0.0335792 | + | 0.640730i | 0.929058 | + | 0.369935i | \(0.120620\pi\) |
−0.962637 | + | 0.270795i | \(0.912713\pi\) | |||||||
\(510\) | −11.8028 | − | 2.50877i | −0.522637 | − | 0.111090i | ||||
\(511\) | −7.85446 | + | 17.6414i | −0.347461 | + | 0.780410i | ||||
\(512\) | −7.33244 | + | 46.2952i | −0.324051 | + | 2.04598i | ||||
\(513\) | 0.389409 | + | 7.43038i | 0.0171928 | + | 0.328059i | ||||
\(514\) | −48.4318 | − | 31.4520i | −2.13623 | − | 1.38729i | ||||
\(515\) | 13.7549 | − | 2.17856i | 0.606112 | − | 0.0959986i | ||||
\(516\) | −24.6595 | + | 14.2371i | −1.08557 | + | 0.626755i | ||||
\(517\) | −18.8416 | + | 16.2079i | −0.828651 | + | 0.712821i | ||||
\(518\) | 0.835045 | + | 3.11643i | 0.0366898 | + | 0.136928i | ||||
\(519\) | −19.9909 | − | 14.5243i | −0.877505 | − | 0.637544i | ||||
\(520\) | 68.5744 | − | 5.47380i | 3.00719 | − | 0.240042i | ||||
\(521\) | −1.94106 | − | 5.97396i | −0.0850392 | − | 0.261724i | 0.899491 | − | 0.436940i | \(-0.143938\pi\) |
−0.984530 | + | 0.175216i | \(0.943938\pi\) | |||||||
\(522\) | 7.16848 | − | 8.85234i | 0.313756 | − | 0.387456i | ||||
\(523\) | −20.1566 | + | 2.11854i | −0.881387 | + | 0.0926375i | −0.534399 | − | 0.845232i | \(-0.679462\pi\) |
−0.346988 | + | 0.937870i | \(0.612795\pi\) | |||||||
\(524\) | 16.2716 | − | 18.0715i | 0.710830 | − | 0.789457i | ||||
\(525\) | 5.19933 | + | 10.2043i | 0.226917 | + | 0.445350i | ||||
\(526\) | −23.8032 | + | 19.2755i | −1.03787 | + | 0.840451i | ||||
\(527\) | −0.877968 | + | 3.27662i | −0.0382449 | + | 0.142732i | ||||
\(528\) | 15.5799 | + | 8.38796i | 0.678029 | + | 0.365039i | ||||
\(529\) | −8.83775 | − | 15.3074i | −0.384250 | − | 0.665540i | ||||
\(530\) | 43.1986 | − | 19.2333i | 1.87643 | − | 0.835440i | ||||
\(531\) | 3.07062 | + | 0.160925i | 0.133254 | + | 0.00698353i | ||||
\(532\) | −49.2131 | + | 15.9903i | −2.13366 | + | 0.693268i | ||||
\(533\) | 43.6580 | + | 12.8792i | 1.89104 | + | 0.557860i | ||||
\(534\) | 13.6846 | + | 18.8353i | 0.592192 | + | 0.815082i | ||||
\(535\) | −57.0547 | + | 37.0517i | −2.46669 | + | 1.60189i | ||||
\(536\) | 17.4238 | − | 15.6884i | 0.752593 | − | 0.677638i | ||||
\(537\) | 1.75675 | + | 0.184642i | 0.0758096 | + | 0.00796791i | ||||
\(538\) | −35.5814 | + | 35.5814i | −1.53402 | + | 1.53402i | ||||
\(539\) | 4.78288 | + | 13.3561i | 0.206013 | + | 0.575287i | ||||
\(540\) | −14.0682 | − | 3.76957i | −0.605401 | − | 0.162217i | ||||
\(541\) | 3.92441 | + | 24.7778i | 0.168724 | + | 1.06528i | 0.916121 | + | 0.400902i | \(0.131303\pi\) |
−0.747397 | + | 0.664378i | \(0.768697\pi\) | |||||||
\(542\) | −48.2624 | + | 10.2585i | −2.07305 | + | 0.440640i | ||||
\(543\) | −0.0545809 | + | 0.256783i | −0.00234229 | + | 0.0110196i | ||||
\(544\) | 2.45707 | + | 1.98970i | 0.105346 | + | 0.0853076i | ||||
\(545\) | 35.4517 | − | 25.7572i | 1.51858 | − | 1.10332i | ||||
\(546\) | 14.5798 | − | 2.71901i | 0.623958 | − | 0.116363i | ||||
\(547\) | 7.12996 | + | 2.31666i | 0.304855 | + | 0.0990534i | 0.457450 | − | 0.889235i | \(-0.348763\pi\) |
−0.152595 | + | 0.988289i | \(0.548763\pi\) | |||||||
\(548\) | −72.9899 | − | 28.0182i | −3.11797 | − | 1.19688i | ||||
\(549\) | 10.8909 | + | 6.28789i | 0.464814 | + | 0.268361i | ||||
\(550\) | 51.8847 | + | 24.5228i | 2.21237 | + | 1.04565i | ||||
\(551\) | 24.0399 | + | 24.0399i | 1.02413 | + | 1.02413i | ||||
\(552\) | 8.01796 | + | 9.90136i | 0.341267 | + | 0.421430i | ||||
\(553\) | −7.40211 | + | 11.3982i | −0.314770 | + | 0.484703i | ||||
\(554\) | 6.89306 | + | 3.51219i | 0.292858 | + | 0.149219i | ||||
\(555\) | −2.47604 | − | 1.10240i | −0.105102 | − | 0.0467944i | ||||
\(556\) | −2.58678 | − | 24.6115i | −0.109704 | − | 1.04376i | ||||
\(557\) | 0.386912 | + | 0.595792i | 0.0163940 | + | 0.0252445i | 0.846773 | − | 0.531955i | \(-0.178542\pi\) |
−0.830379 | + | 0.557200i | \(0.811876\pi\) | |||||||
\(558\) | −1.86565 | + | 5.74187i | −0.0789791 | + | 0.243073i | ||||
\(559\) | 6.94412 | + | 23.3474i | 0.293705 | + | 0.987491i | ||||
\(560\) | − | 30.4191i | − | 1.28544i | ||||||
\(561\) | −3.95245 | + | 2.44134i | −0.166873 | + | 0.103074i | ||||
\(562\) | 5.96475 | − | 10.3313i | 0.251608 | − | 0.435798i | ||||
\(563\) | 3.22143 | − | 30.6498i | 0.135767 | − | 1.29174i | −0.688376 | − | 0.725354i | \(-0.741676\pi\) |
0.824143 | − | 0.566382i | \(-0.191657\pi\) | |||||||
\(564\) | −28.1418 | + | 14.3390i | −1.18498 | + | 0.603779i | ||||
\(565\) | −7.80463 | + | 0.409023i | −0.328343 | + | 0.0172077i | ||||
\(566\) | 25.7475 | − | 9.88354i | 1.08225 | − | 0.415436i | ||||
\(567\) | −1.62971 | − | 0.258120i | −0.0684412 | − | 0.0108400i | ||||
\(568\) | −44.8011 | − | 40.3391i | −1.87981 | − | 1.69259i | ||||
\(569\) | 4.09523 | + | 4.54821i | 0.171681 | + | 0.190671i | 0.822845 | − | 0.568266i | \(-0.192386\pi\) |
−0.651164 | + | 0.758937i | \(0.725719\pi\) | |||||||
\(570\) | 22.9703 | − | 59.8397i | 0.962120 | − | 2.50641i | ||||
\(571\) | 10.9820 | 0.459581 | 0.229790 | − | 0.973240i | \(-0.426196\pi\) | ||||
0.229790 | + | 0.973240i | \(0.426196\pi\) | |||||||
\(572\) | 33.5508 | − | 37.6124i | 1.40283 | − | 1.57265i | ||||
\(573\) | −12.3885 | −0.517537 | ||||||||
\(574\) | 18.6099 | − | 48.4805i | 0.776764 | − | 2.02354i | ||||
\(575\) | 10.7167 | + | 11.9021i | 0.446918 | + | 0.496353i | ||||
\(576\) | −3.74774 | − | 3.37448i | −0.156156 | − | 0.140603i | ||||
\(577\) | 26.6564 | + | 4.22196i | 1.10972 | + | 0.175762i | 0.684277 | − | 0.729222i | \(-0.260118\pi\) |
0.425444 | + | 0.904985i | \(0.360118\pi\) | |||||||
\(578\) | 34.9990 | − | 13.4349i | 1.45577 | − | 0.558817i | ||||
\(579\) | −5.32181 | + | 0.278904i | −0.221167 | + | 0.0115909i | ||||
\(580\) | −59.2950 | + | 30.2123i | −2.46209 | + | 1.25450i | ||||
\(581\) | 1.60346 | − | 15.2559i | 0.0665228 | − | 0.632922i | ||||
\(582\) | −0.687594 | + | 1.19095i | −0.0285017 | + | 0.0493663i | ||||
\(583\) | 6.90742 | − | 16.8443i | 0.286076 | − | 0.697620i | ||||
\(584\) | 64.6199i | 2.67399i | ||||||||
\(585\) | −5.93280 | + | 10.9559i | −0.245291 | + | 0.452972i | ||||
\(586\) | 4.51057 | − | 13.8821i | 0.186330 | − | 0.573464i | ||||
\(587\) | −11.4249 | − | 17.5928i | −0.471557 | − | 0.726134i | 0.520231 | − | 0.854026i | \(-0.325846\pi\) |
−0.991788 | + | 0.127891i | \(0.959179\pi\) | |||||||
\(588\) | 1.88450 | + | 17.9298i | 0.0777155 | + | 0.739414i | ||||
\(589\) | −16.4615 | − | 7.32913i | −0.678284 | − | 0.301992i | ||||
\(590\) | −23.6012 | − | 12.0254i | −0.971647 | − | 0.495079i | ||||
\(591\) | −1.84092 | + | 2.83477i | −0.0757254 | + | 0.116607i | ||||
\(592\) | 2.63342 | + | 3.25201i | 0.108233 | + | 0.133657i | ||||
\(593\) | −20.2344 | − | 20.2344i | −0.830927 | − | 0.830927i | 0.156716 | − | 0.987644i | \(-0.449909\pi\) |
−0.987644 | + | 0.156716i | \(0.949909\pi\) | |||||||
\(594\) | −7.25222 | + | 3.97093i | −0.297562 | + | 0.162929i | ||||
\(595\) | 6.91651 | + | 3.99325i | 0.283549 | + | 0.163707i | ||||
\(596\) | 49.6020 | + | 19.0404i | 2.03178 | + | 0.779926i | ||||
\(597\) | 17.5325 | + | 5.69667i | 0.717559 | + | 0.233149i | ||||
\(598\) | 18.7104 | − | 8.95000i | 0.765125 | − | 0.365993i | ||||
\(599\) | 21.6656 | − | 15.7410i | 0.885234 | − | 0.643160i | −0.0493970 | − | 0.998779i | \(-0.515730\pi\) |
0.934631 | + | 0.355619i | \(0.115730\pi\) | |||||||
\(600\) | 29.7828 | + | 24.1177i | 1.21588 | + | 0.984600i | ||||
\(601\) | 4.05263 | − | 19.0661i | 0.165310 | − | 0.777723i | −0.814874 | − | 0.579637i | \(-0.803194\pi\) |
0.980185 | − | 0.198086i | \(-0.0634725\pi\) | |||||||
\(602\) | 27.1820 | − | 5.77772i | 1.10786 | − | 0.235482i | ||||
\(603\) | 0.664277 | + | 4.19408i | 0.0270514 | + | 0.170796i | ||||
\(604\) | 40.9531 | + | 10.9734i | 1.66636 | + | 0.446499i | ||||
\(605\) | 36.0666 | − | 12.0016i | 1.46632 | − | 0.487934i | ||||
\(606\) | 5.15929 | − | 5.15929i | 0.209582 | − | 0.209582i | ||||
\(607\) | −24.9719 | − | 2.62465i | −1.01358 | − | 0.106531i | −0.416851 | − | 0.908975i | \(-0.636866\pi\) |
−0.596728 | + | 0.802444i | \(0.703533\pi\) | |||||||
\(608\) | −12.4809 | + | 11.2378i | −0.506167 | + | 0.455755i | ||||
\(609\) | −6.32298 | + | 4.10619i | −0.256220 | + | 0.166391i | ||||
\(610\) | −63.6774 | − | 87.6444i | −2.57822 | − | 3.54862i | ||||
\(611\) | 6.33664 | + | 26.2651i | 0.256353 | + | 1.06257i | ||||
\(612\) | −5.61481 | + | 1.82436i | −0.226965 | + | 0.0737455i | ||||
\(613\) | 22.5178 | + | 1.18011i | 0.909486 | + | 0.0476641i | 0.501338 | − | 0.865252i | \(-0.332841\pi\) |
0.408148 | + | 0.912916i | \(0.366175\pi\) | |||||||
\(614\) | −53.6951 | + | 23.9066i | −2.16696 | + | 0.964792i | ||||
\(615\) | 21.8122 | + | 37.7798i | 0.879552 | + | 1.52343i | ||||
\(616\) | −20.8768 | − | 21.8442i | −0.841150 | − | 0.880130i | ||||
\(617\) | 1.39405 | − | 5.20266i | 0.0561222 | − | 0.209451i | −0.932171 | − | 0.362019i | \(-0.882088\pi\) |
0.988293 | + | 0.152568i | \(0.0487542\pi\) | |||||||
\(618\) | 7.80793 | − | 6.32274i | 0.314081 | − | 0.254338i | ||||
\(619\) | −2.22704 | − | 4.37081i | −0.0895123 | − | 0.175678i | 0.841910 | − | 0.539618i | \(-0.181431\pi\) |
−0.931422 | + | 0.363940i | \(0.881431\pi\) | |||||||
\(620\) | 23.6015 | − | 26.2121i | 0.947859 | − | 1.05270i | ||||
\(621\) | −2.29485 | + | 0.241198i | −0.0920891 | + | 0.00967896i | ||||
\(622\) | −45.1885 | + | 55.8032i | −1.81190 | + | 2.23750i | ||||
\(623\) | −4.76181 | − | 14.6553i | −0.190778 | − | 0.587154i | ||||
\(624\) | 15.8406 | − | 10.9130i | 0.634132 | − | 0.436868i | ||||
\(625\) | −9.32723 | − | 6.77663i | −0.373089 | − | 0.271065i | ||||
\(626\) | 5.13588 | + | 19.1674i | 0.205271 | + | 0.766082i | ||||
\(627\) | −9.52431 | − | 22.7656i | −0.380364 | − | 0.909169i | ||||
\(628\) | −12.2335 | + | 7.06304i | −0.488172 | + | 0.281846i | ||||
\(629\) | −1.08512 | + | 0.171867i | −0.0432667 | + | 0.00685278i | ||||
\(630\) | 11.9210 | + | 7.74158i | 0.474944 | + | 0.308432i | ||||
\(631\) | −0.511479 | − | 9.75960i | −0.0203617 | − | 0.388524i | −0.989733 | − | 0.142926i | \(-0.954349\pi\) |
0.969372 | − | 0.245598i | \(-0.0789843\pi\) | |||||||
\(632\) | −7.11446 | + | 44.9190i | −0.282998 | + | 1.78678i | ||||
\(633\) | 7.47668 | − | 16.7929i | 0.297171 | − | 0.667458i | ||||
\(634\) | 15.1486 | + | 3.21993i | 0.601626 | + | 0.127880i | ||||
\(635\) | 2.68853 | − | 51.3002i | 0.106691 | − | 2.03579i | ||||
\(636\) | 13.5990 | − | 18.7174i | 0.539234 | − | 0.742192i | ||||
\(637\) | 15.2928 | + | 1.99600i | 0.605922 | + | 0.0790846i | ||||
\(638\) | −12.4848 | + | 35.6566i | −0.494280 | + | 1.41166i | ||||
\(639\) | 10.5464 | − | 2.82591i | 0.417211 | − | 0.111791i | ||||
\(640\) | 24.0151 | + | 53.9388i | 0.949280 | + | 2.13212i | ||||
\(641\) | 10.0941 | + | 47.4891i | 0.398694 | + | 1.87571i | 0.477200 | + | 0.878795i | \(0.341652\pi\) |
−0.0785056 | + | 0.996914i | \(0.525015\pi\) | |||||||
\(642\) | −22.2815 | + | 43.7298i | −0.879379 | + | 1.72588i | ||||
\(643\) | −13.1394 | − | 34.2293i | −0.518168 | − | 1.34987i | −0.904090 | − | 0.427342i | \(-0.859450\pi\) |
0.385922 | − | 0.922531i | \(-0.373883\pi\) | |||||||
\(644\) | −5.75092 | − | 14.9817i | −0.226618 | − | 0.590360i | ||||
\(645\) | −10.5983 | + | 20.8004i | −0.417309 | + | 0.819015i | ||||
\(646\) | −5.40193 | − | 25.4141i | −0.212536 | − | 0.999904i | ||||
\(647\) | 1.77667 | + | 3.99046i | 0.0698480 | + | 0.156881i | 0.945096 | − | 0.326794i | \(-0.105968\pi\) |
−0.875248 | + | 0.483675i | \(0.839302\pi\) | |||||||
\(648\) | −5.33330 | + | 1.42905i | −0.209512 | + | 0.0561385i | ||||
\(649\) | −9.76782 | + | 2.93099i | −0.383420 | + | 0.115051i | ||||
\(650\) | 49.4529 | − | 38.0342i | 1.93970 | − | 1.49182i | ||||
\(651\) | 2.34877 | − | 3.23281i | 0.0920557 | − | 0.126704i | ||||
\(652\) | −1.35713 | + | 25.8957i | −0.0531495 | + | 1.01415i | ||||
\(653\) | 7.88522 | + | 1.67606i | 0.308572 | + | 0.0655891i | 0.359595 | − | 0.933108i | \(-0.382915\pi\) |
−0.0510228 | + | 0.998697i | \(0.516248\pi\) | |||||||
\(654\) | 12.8585 | − | 28.8806i | 0.502807 | − | 1.12932i | ||||
\(655\) | 3.11883 | − | 19.6915i | 0.121863 | − | 0.769411i | ||||
\(656\) | −3.52494 | − | 67.2598i | −0.137626 | − | 2.62605i | ||||
\(657\) | −9.81533 | − | 6.37415i | −0.382933 | − | 0.248679i | ||||
\(658\) | 30.4450 | − | 4.82201i | 1.18687 | − | 0.187982i | ||||
\(659\) | −16.1222 | + | 9.30816i | −0.628032 | + | 0.362595i | −0.779990 | − | 0.625793i | \(-0.784776\pi\) |
0.151957 | + | 0.988387i | \(0.451442\pi\) | |||||||
\(660\) | 48.1424 | − | 3.96033i | 1.87394 | − | 0.154156i | ||||
\(661\) | −11.4841 | − | 42.8592i | −0.446680 | − | 1.66703i | −0.711463 | − | 0.702723i | \(-0.751967\pi\) |
0.264784 | − | 0.964308i | \(-0.414699\pi\) | |||||||
\(662\) | −51.7519 | − | 37.6000i | −2.01139 | − | 1.46136i | ||||
\(663\) | 0.401855 | + | 5.03434i | 0.0156067 | + | 0.195517i | ||||
\(664\) | −15.8624 | − | 48.8195i | −0.615581 | − | 1.89456i | ||||
\(665\) | −26.6984 | + | 32.9697i | −1.03532 | + | 1.27851i | ||||
\(666\) | −1.94464 | + | 0.204390i | −0.0753531 | + | 0.00791993i | ||||
\(667\) | −7.05492 | + | 7.83528i | −0.273167 | + | 0.303383i | ||||
\(668\) | −7.87546 | − | 15.4565i | −0.304711 | − | 0.598029i | ||||
\(669\) | −12.9813 | + | 10.5120i | −0.501886 | + | 0.406419i | ||||
\(670\) | 9.46769 | − | 35.3339i | 0.365769 | − | 1.36507i | ||||
\(671\) | −41.0374 | − | 7.45574i | −1.58423 | − | 0.287826i | ||||
\(672\) | −1.86219 | − | 3.22542i | −0.0718357 | − | 0.124423i | ||||
\(673\) | 34.4367 | − | 15.3322i | 1.32744 | − | 0.591013i | 0.384236 | − | 0.923235i | \(-0.374465\pi\) |
0.943201 | + | 0.332221i | \(0.107798\pi\) | |||||||
\(674\) | 57.6002 | + | 3.01870i | 2.21868 | + | 0.116276i | ||||
\(675\) | −6.60112 | + | 2.14483i | −0.254077 | + | 0.0825546i | ||||
\(676\) | −19.7499 | − | 51.1095i | −0.759610 | − | 1.96575i | ||||
\(677\) | −16.1054 | − | 22.1672i | −0.618981 | − | 0.851954i | 0.378297 | − | 0.925684i | \(-0.376510\pi\) |
−0.997278 | + | 0.0737298i | \(0.976510\pi\) | |||||||
\(678\) | −4.72864 | + | 3.07081i | −0.181602 | + | 0.117934i | ||||
\(679\) | 0.676411 | − | 0.609043i | 0.0259583 | − | 0.0233729i | ||||
\(680\) | 26.5787 | + | 2.79353i | 1.01925 | + | 0.107127i | ||||
\(681\) | 12.4588 | − | 12.4588i | 0.477422 | − | 0.477422i | ||||
\(682\) | −0.594979 | − | 20.0148i | −0.0227829 | − | 0.766407i | ||||
\(683\) | 0.410088 | + | 0.109883i | 0.0156916 | + | 0.00420455i | 0.266656 | − | 0.963792i | \(-0.414081\pi\) |
−0.250965 | + | 0.967996i | \(0.580748\pi\) | |||||||
\(684\) | −4.90589 | − | 30.9746i | −0.187581 | − | 1.18434i | ||||
\(685\) | −62.6980 | + | 13.3269i | −2.39557 | + | 0.509193i | ||||
\(686\) | 9.64479 | − | 45.3752i | 0.368240 | − | 1.73243i | ||||
\(687\) | 1.45155 | + | 1.17545i | 0.0553803 | + | 0.0448461i | ||||
\(688\) | 29.1589 | − | 21.1852i | 1.11167 | − | 0.807677i | ||||
\(689\) | −12.8703 | − | 15.0353i | −0.490321 | − | 0.572799i | ||||
\(690\) | 18.9050 | + | 6.14262i | 0.719702 | + | 0.233845i | ||||
\(691\) | −11.5732 | − | 4.44255i | −0.440266 | − | 0.169002i | 0.128130 | − | 0.991757i | \(-0.459103\pi\) |
−0.568396 | + | 0.822755i | \(0.692436\pi\) | |||||||
\(692\) | 90.1955 | + | 52.0744i | 3.42872 | + | 1.97957i | ||||
\(693\) | 5.37730 | − | 1.01632i | 0.204267 | − | 0.0386067i | ||||
\(694\) | −37.1853 | − | 37.1853i | −1.41154 | − | 1.41154i | ||||
\(695\) | −12.7683 | − | 15.7676i | −0.484331 | − | 0.598098i | ||||
\(696\) | −13.7405 | + | 21.1585i | −0.520832 | + | 0.802011i | ||||
\(697\) | 15.7559 | + | 8.02802i | 0.596796 | + | 0.304083i | ||||
\(698\) | 79.0884 | + | 35.2124i | 2.99354 | + | 1.33281i | ||||
\(699\) | −1.65882 | − | 15.7826i | −0.0627423 | − | 0.596954i | ||||
\(700\) | −26.2899 | − | 40.4828i | −0.993663 | − | 1.53011i | ||||
\(701\) | −7.63332 | + | 23.4929i | −0.288307 | + | 0.887316i | 0.697082 | + | 0.716992i | \(0.254482\pi\) |
−0.985388 | + | 0.170324i | \(0.945518\pi\) | |||||||
\(702\) | 0.245301 | + | 8.98513i | 0.00925829 | + | 0.339122i | ||||
\(703\) | − | 5.83601i | − | 0.220109i | ||||||
\(704\) | 15.4754 | + | 6.34605i | 0.583250 | + | 0.239176i | ||||
\(705\) | −12.9473 | + | 22.4254i | −0.487623 | + | 0.844589i | ||||
\(706\) | −3.47920 | + | 33.1023i | −0.130941 | + | 1.24582i | ||||
\(707\) | −4.30290 | + | 2.19244i | −0.161827 | + | 0.0824551i | ||||
\(708\) | −12.9421 | + | 0.678268i | −0.486395 | + | 0.0254909i | ||||
\(709\) | −9.18740 | + | 3.52671i | −0.345040 | + | 0.132448i | −0.524716 | − | 0.851277i | \(-0.675828\pi\) |
0.179676 | + | 0.983726i | \(0.442495\pi\) | |||||||
\(710\) | −92.8996 | − | 14.7138i | −3.48646 | − | 0.552201i | ||||
\(711\) | −6.12112 | − | 5.51148i | −0.229560 | − | 0.206697i | ||||
\(712\) | −34.5035 | − | 38.3200i | −1.29307 | − | 1.43610i | ||||
\(713\) | 2.00263 | − | 5.21704i | 0.0749993 | − | 0.195380i | ||||
\(714\) | 5.76174 | 0.215628 | ||||||||
\(715\) | 6.27430 | − | 40.8432i | 0.234645 | − | 1.52745i | ||||
\(716\) | −7.44519 | −0.278240 | ||||||||
\(717\) | −3.79736 | + | 9.89245i | −0.141815 | + | 0.369440i | ||||
\(718\) | 29.6032 | + | 32.8777i | 1.10478 | + | 1.22699i | ||||
\(719\) | −27.5821 | − | 24.8350i | −1.02864 | − | 0.926190i | −0.0313292 | − | 0.999509i | \(-0.509974\pi\) |
−0.997308 | + | 0.0733196i | \(0.976641\pi\) | |||||||
\(720\) | 18.2086 | + | 2.88396i | 0.678594 | + | 0.107479i | ||||
\(721\) | −6.20812 | + | 2.38308i | −0.231203 | + | 0.0887504i | ||||
\(722\) | 90.5248 | − | 4.74421i | 3.36899 | − | 0.176561i | ||||
\(723\) | −5.55046 | + | 2.82810i | −0.206424 | + | 0.105178i | ||||
\(724\) | 0.115658 | − | 1.10041i | 0.00429840 | − | 0.0408965i | ||||
\(725\) | −15.8570 | + | 27.4652i | −0.588916 | + | 1.02003i | ||||
\(726\) | 18.2046 | − | 20.5082i | 0.675635 | − | 0.761131i | ||||
\(727\) | 22.2553i | 0.825402i | 0.910866 | + | 0.412701i | \(0.135415\pi\) | ||||
−0.910866 | + | 0.412701i | \(0.864585\pi\) | |||||||
\(728\) | −31.4852 | + | 9.36452i | −1.16692 | + | 0.347072i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 54.9103 | + | 84.5544i | 2.03232 | + | 3.12950i | ||||
\(731\) | 0.989141 | + | 9.41105i | 0.0365847 | + | 0.348080i | ||||
\(732\) | −48.4222 | − | 21.5589i | −1.78973 | − | 0.796841i | ||||
\(733\) | −17.3020 | − | 8.81581i | −0.639064 | − | 0.325619i | 0.104261 | − | 0.994550i | \(-0.466752\pi\) |
−0.743325 | + | 0.668931i | \(0.766752\pi\) | |||||||
\(734\) | 27.5010 | − | 42.3478i | 1.01508 | − | 1.56309i | ||||
\(735\) | 9.30191 | + | 11.4869i | 0.343106 | + | 0.423701i | ||||
\(736\) | −3.68290 | − | 3.68290i | −0.135754 | − | 0.135754i | ||||
\(737\) | −6.76385 | − | 12.3530i | −0.249150 | − | 0.455030i | ||||
\(738\) | 27.2557 | + | 15.7361i | 1.00329 | + | 0.579253i | ||||
\(739\) | 16.4530 | + | 6.31570i | 0.605232 | + | 0.232327i | 0.641635 | − | 0.767010i | \(-0.278257\pi\) |
−0.0364028 | + | 0.999337i | \(0.511590\pi\) | |||||||
\(740\) | 10.8646 | + | 3.53011i | 0.399389 | + | 0.129769i | ||||
\(741\) | −26.7470 | − | 2.07505i | −0.982575 | − | 0.0762290i | ||||
\(742\) | −18.2671 | + | 13.2718i | −0.670606 | + | 0.487224i | ||||
\(743\) | −4.30539 | − | 3.48643i | −0.157949 | − | 0.127905i | 0.547088 | − | 0.837075i | \(-0.315736\pi\) |
−0.705037 | + | 0.709170i | \(0.749070\pi\) | |||||||
\(744\) | 2.78012 | − | 13.0795i | 0.101924 | − | 0.479516i | ||||
\(745\) | 42.6079 | − | 9.05658i | 1.56103 | − | 0.331808i | ||||
\(746\) | 10.3312 | + | 65.2285i | 0.378251 | + | 2.38818i | ||||
\(747\) | 8.98004 | + | 2.40619i | 0.328562 | + | 0.0880380i | ||||
\(748\) | 15.4920 | − | 11.9748i | 0.566445 | − | 0.437841i | ||||
\(749\) | 22.9698 | − | 22.9698i | 0.839298 | − | 0.839298i | ||||
\(750\) | 16.6277 | + | 1.74764i | 0.607157 | + | 0.0638148i | ||||
\(751\) | −16.9666 | + | 15.2768i | −0.619118 | + | 0.557457i | −0.917873 | − | 0.396873i | \(-0.870095\pi\) |
0.298755 | + | 0.954330i | \(0.403429\pi\) | |||||||
\(752\) | 33.5292 | − | 21.7741i | 1.22268 | − | 0.794020i | ||||
\(753\) | 15.4664 | + | 21.2877i | 0.563628 | + | 0.775767i | ||||
\(754\) | 28.3040 | + | 29.7598i | 1.03077 | + | 1.08379i | ||||
\(755\) | 33.0588 | − | 10.7415i | 1.20313 | − | 0.390922i | ||||
\(756\) | 6.94501 | + | 0.363972i | 0.252588 | + | 0.0132376i | ||||
\(757\) | 22.1011 | − | 9.84005i | 0.803279 | − | 0.357643i | 0.0363209 | − | 0.999340i | \(-0.488436\pi\) |
0.766958 | + | 0.641697i | \(0.221769\pi\) | |||||||
\(758\) | −0.977392 | − | 1.69289i | −0.0355005 | − | 0.0614886i | ||||
\(759\) | 6.89585 | − | 3.31916i | 0.250304 | − | 0.120478i | ||||
\(760\) | −36.7428 | + | 137.126i | −1.33280 | + | 4.97408i | ||||
\(761\) | −1.48695 | + | 1.20411i | −0.0539019 | + | 0.0436489i | −0.655893 | − | 0.754854i | \(-0.727708\pi\) |
0.601991 | + | 0.798503i | \(0.294374\pi\) | |||||||
\(762\) | −16.8251 | − | 33.0212i | −0.609510 | − | 1.19623i | ||||
\(763\) | −14.0011 | + | 15.5498i | −0.506874 | + | 0.562941i | ||||
\(764\) | 51.9293 | − | 5.45799i | 1.87874 | − | 0.197463i | ||||
\(765\) | −3.04606 | + | 3.76157i | −0.110131 | + | 0.136000i | ||||
\(766\) | 21.4190 | + | 65.9209i | 0.773900 | + | 2.38182i | ||||
\(767\) | −2.00821 | + | 10.9031i | −0.0725121 | + | 0.393688i | ||||
\(768\) | 26.3009 | + | 19.1088i | 0.949054 | + | 0.689528i | ||||
\(769\) | −10.6153 | − | 39.6168i | −0.382797 | − | 1.42862i | −0.841610 | − | 0.540086i | \(-0.818392\pi\) |
0.458813 | − | 0.888533i | \(-0.348275\pi\) | |||||||
\(770\) | −45.8791 | − | 10.8431i | −1.65337 | − | 0.390756i | ||||
\(771\) | −20.0611 | + | 11.5823i | −0.722484 | + | 0.417126i | ||||
\(772\) | 22.1847 | − | 3.51372i | 0.798446 | − | 0.126461i | ||||
\(773\) | 31.3174 | + | 20.3377i | 1.12641 | + | 0.731498i | 0.966762 | − | 0.255677i | \(-0.0822983\pi\) |
0.159645 | + | 0.987174i | \(0.448965\pi\) | |||||||
\(774\) | 0.881431 | + | 16.8187i | 0.0316824 | + | 0.604536i | ||||
\(775\) | 2.62952 | − | 16.6021i | 0.0944551 | − | 0.596366i | ||||
\(776\) | 1.23883 | − | 2.78247i | 0.0444716 | − | 0.0998848i | ||||
\(777\) | 1.26591 | + | 0.269078i | 0.0454144 | + | 0.00965312i | ||||
\(778\) | −2.78172 | + | 53.0783i | −0.0997293 | + | 1.90295i | ||||
\(779\) | −55.2124 | + | 75.9934i | −1.97819 | + | 2.72275i | ||||
\(780\) | 20.0418 | − | 48.5381i | 0.717613 | − | 1.73794i | ||||
\(781\) | −29.7709 | + | 20.6165i | −1.06529 | + | 0.737715i | ||||
\(782\) | 7.78301 | − | 2.08545i | 0.278320 | − | 0.0745756i | ||||
\(783\) | −1.85847 | − | 4.17418i | −0.0664161 | − | 0.149173i | ||||
\(784\) | −4.74462 | − | 22.3217i | −0.169451 | − | 0.797203i | ||||
\(785\) | −5.25783 | + | 10.3191i | −0.187660 | + | 0.368304i | ||||
\(786\) | −5.15448 | − | 13.4279i | −0.183854 | − | 0.478957i | ||||
\(787\) | 5.10760 | + | 13.3057i | 0.182066 | + | 0.474299i | 0.993991 | − | 0.109464i | \(-0.0349133\pi\) |
−0.811925 | + | 0.583762i | \(0.801580\pi\) | |||||||
\(788\) | 6.46774 | − | 12.6936i | 0.230404 | − | 0.452193i | ||||
\(789\) | 2.55445 | + | 12.0178i | 0.0909410 | + | 0.427844i | ||||
\(790\) | 28.8604 | + | 64.8215i | 1.02681 | + | 2.30624i | ||||
\(791\) | 3.60466 | − | 0.965864i | 0.128167 | − | 0.0343422i | ||||
\(792\) | 15.0551 | − | 10.4257i | 0.534958 | − | 0.370460i | ||||
\(793\) | −27.5628 | + | 36.0035i | −0.978782 | + | 1.27852i | ||||
\(794\) | −38.7401 | + | 53.3212i | −1.37484 | + | 1.89230i | ||||
\(795\) | 0.992717 | − | 18.9422i | 0.0352081 | − | 0.671810i | ||||
\(796\) | −76.0014 | − | 16.1546i | −2.69380 | − | 0.572585i | ||||
\(797\) | −4.26694 | + | 9.58371i | −0.151143 | + | 0.339473i | −0.973210 | − | 0.229918i | \(-0.926154\pi\) |
0.822067 | + | 0.569391i | \(0.192821\pi\) | |||||||
\(798\) | −4.78787 | + | 30.2294i | −0.169489 | + | 1.07011i | ||||
\(799\) | 0.549341 | + | 10.4820i | 0.0194343 | + | 0.370828i | ||||
\(800\) | −13.1392 | − | 8.53268i | −0.464540 | − | 0.301676i | ||||
\(801\) | 9.22401 | − | 1.46094i | 0.325915 | − | 0.0516198i | ||||
\(802\) | 31.2624 | − | 18.0494i | 1.10391 | − | 0.637346i | ||||
\(803\) | 37.7753 | + | 8.92779i | 1.33306 | + | 0.315055i | ||||
\(804\) | −4.63225 | − | 17.2878i | −0.163367 | − | 0.609693i | ||||
\(805\) | −10.6440 | − | 7.73330i | −0.375151 | − | 0.272563i | ||||
\(806\) | −19.6579 | − | 9.34948i | −0.692420 | − | 0.329321i | ||||
\(807\) | 6.23743 | + | 19.1968i | 0.219568 | + | 0.675760i | ||||
\(808\) | −10.1699 | + | 12.5587i | −0.357775 | + | 0.441815i | ||||
\(809\) | 9.14449 | − | 0.961124i | 0.321503 | − | 0.0337913i | 0.0575976 | − | 0.998340i | \(-0.481656\pi\) |
0.263905 | + | 0.964549i | \(0.414989\pi\) | |||||||
\(810\) | −5.76424 | + | 6.40184i | −0.202535 | + | 0.224938i | ||||
\(811\) | −19.1198 | − | 37.5247i | −0.671387 | − | 1.31767i | −0.935550 | − | 0.353194i | \(-0.885096\pi\) |
0.264163 | − | 0.964478i | \(-0.414904\pi\) | |||||||
\(812\) | 24.6952 | − | 19.9978i | 0.866631 | − | 0.701784i | ||||
\(813\) | −5.12256 | + | 19.1176i | −0.179656 | + | 0.670485i | ||||
\(814\) | 5.84349 | − | 2.81262i | 0.204814 | − | 0.0985824i | ||||
\(815\) | 10.6299 | + | 18.4116i | 0.372351 | + | 0.644930i | ||||
\(816\) | 6.82683 | − | 3.03950i | 0.238987 | − | 0.106404i | ||||
\(817\) | −50.1978 | − | 2.63075i | −1.75620 | − | 0.0920385i | ||||
\(818\) | 41.0583 | − | 13.3407i | 1.43557 | − | 0.466445i | ||||
\(819\) | 1.68332 | − | 5.70612i | 0.0588199 | − | 0.199388i | ||||
\(820\) | −108.075 | − | 148.753i | −3.77416 | − | 5.19468i | ||||
\(821\) | −18.2245 | + | 11.8351i | −0.636039 | + | 0.413048i | −0.821983 | − | 0.569512i | \(-0.807132\pi\) |
0.185944 | + | 0.982560i | \(0.440466\pi\) | |||||||
\(822\) | −34.3653 | + | 30.9426i | −1.19863 | + | 1.07925i | ||||
\(823\) | −23.0626 | − | 2.42397i | −0.803910 | − | 0.0844944i | −0.306345 | − | 0.951921i | \(-0.599106\pi\) |
−0.497566 | + | 0.867426i | \(0.665773\pi\) | |||||||
\(824\) | −15.7346 | + | 15.7346i | −0.548142 | + | 0.548142i | ||||
\(825\) | 18.2134 | − | 14.0783i | 0.634109 | − | 0.490143i | ||||
\(826\) | 12.2171 | + | 3.27357i | 0.425089 | + | 0.113902i | ||||
\(827\) | 2.19738 | + | 13.8737i | 0.0764103 | + | 0.482436i | 0.995985 | + | 0.0895205i | \(0.0285335\pi\) |
−0.919575 | + | 0.392915i | \(0.871467\pi\) | |||||||
\(828\) | 9.51312 | − | 2.02208i | 0.330604 | − | 0.0702720i | ||||
\(829\) | −10.3633 | + | 48.7554i | −0.359931 | + | 1.69334i | 0.309850 | + | 0.950785i | \(0.399721\pi\) |
−0.669782 | + | 0.742558i | \(0.733612\pi\) | |||||||
\(830\) | −62.2398 | − | 50.4008i | −2.16038 | − | 1.74944i | ||||
\(831\) | 2.51058 | − | 1.82405i | 0.0870912 | − | 0.0632754i | ||||
\(832\) | 13.8134 | − | 11.8244i | 0.478892 | − | 0.409936i | ||||
\(833\) | 5.69822 | + | 1.85146i | 0.197432 | + | 0.0641494i | ||||
\(834\) | −13.6651 | − | 5.24552i | −0.473182 | − | 0.181638i | ||||
\(835\) | −12.3168 | − | 7.11111i | −0.426241 | − | 0.246090i | ||||
\(836\) | 49.9531 | + | 91.2310i | 1.72767 | + | 3.15529i | ||||
\(837\) | 1.71245 | + | 1.71245i | 0.0591909 | + | 0.0591909i | ||||
\(838\) | 39.6345 | + | 48.9446i | 1.36915 | + | 1.69076i | ||||
\(839\) | −15.3180 | + | 23.5877i | −0.528836 | + | 0.814336i | −0.997618 | − | 0.0689776i | \(-0.978026\pi\) |
0.468782 | + | 0.883314i | \(0.344693\pi\) | |||||||
\(840\) | −28.0505 | − | 14.2924i | −0.967833 | − | 0.493135i | ||||
\(841\) | 7.42011 | + | 3.30364i | 0.255866 | + | 0.113919i | ||||
\(842\) | −4.20631 | − | 40.0204i | −0.144959 | − | 1.37919i | ||||
\(843\) | −2.60626 | − | 4.01328i | −0.0897642 | − | 0.138225i | ||||
\(844\) | −23.9418 | + | 73.6853i | −0.824110 | + | 2.53635i | ||||
\(845\) | −36.4015 | − | 26.3235i | −1.25225 | − | 0.905557i | ||||
\(846\) | 18.6813i | 0.642275i | ||||||||
\(847\) | −15.6539 | + | 9.18612i | −0.537876 | + | 0.315639i | ||||
\(848\) | −14.6426 | + | 25.3617i | −0.502828 | + | 0.870924i | ||||
\(849\) | 1.15639 | − | 11.0023i | 0.0396872 | − | 0.377598i | ||||
\(850\) | 21.5951 | − | 11.0033i | 0.740707 | − | 0.377409i | ||||
\(851\) | 1.80740 | − | 0.0947218i | 0.0619568 | − | 0.00324702i | ||||
\(852\) | −42.9628 | + | 16.4919i | −1.47188 | + | 0.565003i | ||||
\(853\) | 42.2039 | + | 6.68444i | 1.44503 | + | 0.228871i | 0.829177 | − | 0.558986i | \(-0.188810\pi\) |
0.615858 | + | 0.787857i | \(0.288810\pi\) | |||||||
\(854\) | 38.4426 | + | 34.6138i | 1.31548 | + | 1.18446i | ||||
\(855\) | −17.2042 | − | 19.1072i | −0.588371 | − | 0.653452i | ||||
\(856\) | 38.9551 | − | 101.481i | 1.33146 | − | 3.46857i | ||||
\(857\) | 36.5814 | 1.24960 | 0.624798 | − | 0.780787i | \(-0.285181\pi\) | ||||
0.624798 | + | 0.780787i | \(0.285181\pi\) | |||||||
\(858\) | −10.8128 | − | 27.7813i | −0.369143 | − | 0.948439i | ||||
\(859\) | 28.9936 | 0.989249 | 0.494625 | − | 0.869107i | \(-0.335306\pi\) | ||||
0.494625 | + | 0.869107i | \(0.335306\pi\) | |||||||
\(860\) | 35.2614 | − | 91.8590i | 1.20240 | − | 3.13237i | ||||
\(861\) | −13.9384 | − | 15.4801i | −0.475019 | − | 0.527562i | ||||
\(862\) | −26.9949 | − | 24.3063i | −0.919449 | − | 0.827876i | ||||
\(863\) | −41.2859 | − | 6.53904i | −1.40539 | − | 0.222592i | −0.592762 | − | 0.805378i | \(-0.701963\pi\) |
−0.812626 | + | 0.582786i | \(0.801963\pi\) | |||||||
\(864\) | 2.10726 | − | 0.808900i | 0.0716903 | − | 0.0275193i | ||||
\(865\) | 85.2702 | − | 4.46882i | 2.89927 | − | 0.151944i | ||||
\(866\) | 30.6826 | − | 15.6336i | 1.04264 | − | 0.531250i | ||||
\(867\) | 1.57190 | − | 14.9556i | 0.0533845 | − | 0.507919i | ||||
\(868\) | −8.42115 | + | 14.5859i | −0.285832 | + | 0.495076i | ||||
\(869\) | 25.2756 | + | 10.3649i | 0.857418 | + | 0.351605i | ||||
\(870\) | 39.3616i | 1.33448i | ||||||||
\(871\) | −15.3048 | + | 0.417832i | −0.518582 | + | 0.0141577i | ||||
\(872\) | −21.6370 | + | 66.5918i | −0.732721 | + | 2.25508i | ||||
\(873\) | 0.300439 | + | 0.462636i | 0.0101683 | + | 0.0156578i | ||||
\(874\) | 4.47399 | + | 42.5672i | 0.151335 | + | 1.43986i | ||||
\(875\) | −10.1093 | − | 4.50097i | −0.341758 | − | 0.152161i | ||||
\(876\) | 43.9515 | + | 22.3944i | 1.48498 | + | 0.756636i | ||||
\(877\) | −18.0462 | + | 27.7887i | −0.609376 | + | 0.938357i | 0.390466 | + | 0.920617i | \(0.372314\pi\) |
−0.999843 | + | 0.0177400i | \(0.994353\pi\) | |||||||
\(878\) | 14.0351 | + | 17.3319i | 0.473661 | + | 0.584923i | ||||
\(879\) | −4.14018 | − | 4.14018i | −0.139645 | − | 0.139645i | ||||
\(880\) | −60.0802 | + | 11.3552i | −2.02530 | + | 0.382785i | ||||
\(881\) | −29.2359 | − | 16.8793i | −0.984982 | − | 0.568679i | −0.0812111 | − | 0.996697i | \(-0.525879\pi\) |
−0.903770 | + | 0.428018i | \(0.859212\pi\) | |||||||
\(882\) | 9.95518 | + | 3.82143i | 0.335208 | + | 0.128674i | ||||
\(883\) | −17.0036 | − | 5.52482i | −0.572218 | − | 0.185925i | 0.00859336 | − | 0.999963i | \(-0.497265\pi\) |
−0.580811 | + | 0.814038i | \(0.697265\pi\) | |||||||
\(884\) | −3.90244 | − | 20.9255i | −0.131253 | − | 0.703802i | ||||
\(885\) | −8.59601 | + | 6.24537i | −0.288952 | + | 0.209936i | ||||
\(886\) | 74.3350 | + | 60.1953i | 2.49733 | + | 2.02230i | ||||
\(887\) | 4.87191 | − | 22.9205i | 0.163583 | − | 0.769596i | −0.817488 | − | 0.575946i | \(-0.804634\pi\) |
0.981071 | − | 0.193650i | \(-0.0620327\pi\) | |||||||
\(888\) | 4.23610 | − | 0.900412i | 0.142154 | − | 0.0302158i | ||||
\(889\) | 3.83724 | + | 24.2274i | 0.128697 | + | 0.812561i | ||||
\(890\) | −77.7097 | − | 20.8222i | −2.60483 | − | 0.697963i | ||||
\(891\) | 0.0985496 | + | 3.31516i | 0.00330153 | + | 0.111062i | ||||
\(892\) | 49.7828 | − | 49.7828i | 1.66685 | − | 1.66685i | ||||
\(893\) | −55.4514 | − | 5.82818i | −1.85561 | − | 0.195033i | ||||
\(894\) | 23.3537 | − | 21.0278i | 0.781065 | − | 0.703274i | ||||
\(895\) | −5.11924 | + | 3.32447i | −0.171117 | + | 0.111125i | ||||
\(896\) | −16.5715 | − | 22.8087i | −0.553615 | − | 0.761986i | ||||
\(897\) | 0.208521 | − | 8.31716i | 0.00696230 | − | 0.277702i | ||||
\(898\) | −39.0322 | + | 12.6823i | −1.30252 | + | 0.423215i | ||||
\(899\) | 11.0504 | + | 0.579127i | 0.368552 | + | 0.0193150i | ||||
\(900\) | 26.7251 | − | 11.8988i | 0.890838 | − | 0.396627i | ||||
\(901\) | −3.84440 | − | 6.65869i | −0.128075 | − | 0.221833i | ||||
\(902\) | −102.700 | − | 18.6587i | −3.41954 | − | 0.621267i | ||||
\(903\) | 2.88509 | − | 10.7673i | 0.0960098 | − | 0.358314i | ||||
\(904\) | 9.70478 | − | 7.85877i | 0.322776 | − | 0.261379i | ||||
\(905\) | −0.411838 | − | 0.808277i | −0.0136899 | − | 0.0268680i | ||||
\(906\) | 16.7799 | − | 18.6360i | 0.557475 | − | 0.619139i | ||||
\(907\) | 5.43671 | − | 0.571421i | 0.180523 | − | 0.0189737i | −0.0138356 | − | 0.999904i | \(-0.504404\pi\) |
0.194359 | + | 0.980931i | \(0.437737\pi\) | |||||||
\(908\) | −46.7349 | + | 57.7128i | −1.55095 | + | 1.91527i | ||||
\(909\) | −0.904427 | − | 2.78354i | −0.0299979 | − | 0.0923242i | ||||
\(910\) | −33.2407 | + | 39.0077i | −1.10192 | + | 1.29309i | ||||
\(911\) | 20.6631 | + | 15.0126i | 0.684598 | + | 0.497390i | 0.874880 | − | 0.484340i | \(-0.160940\pi\) |
−0.190282 | + | 0.981730i | \(0.560940\pi\) | |||||||
\(912\) | 10.2741 | + | 38.3433i | 0.340208 | + | 1.26967i | ||||
\(913\) | −30.7303 | + | 2.52796i | −1.01702 | + | 0.0836633i | ||||
\(914\) | −73.9807 | + | 42.7128i | −2.44706 | + | 1.41281i | ||||
\(915\) | −42.9212 | + | 6.79805i | −1.41893 | + | 0.224737i | ||||
\(916\) | −6.60239 | − | 4.28764i | −0.218149 | − | 0.141668i | ||||
\(917\) | 0.498232 | + | 9.50683i | 0.0164531 | + | 0.313943i | ||||
\(918\) | −0.546256 | + | 3.44893i | −0.0180291 | + | 0.113832i | ||||
\(919\) | 4.09335 | − | 9.19382i | 0.135027 | − | 0.303276i | −0.833359 | − | 0.552732i | \(-0.813585\pi\) |
0.968386 | + | 0.249456i | \(0.0802519\pi\) | |||||||
\(920\) | −43.0639 | − | 9.15352i | −1.41978 | − | 0.301783i | ||||
\(921\) | −1.23393 | + | 23.5448i | −0.0406594 | + | 0.775827i | ||||
\(922\) | 32.8444 | − | 45.2064i | 1.08167 | − | 1.48879i | ||||
\(923\) | 5.18192 | + | 39.0246i | 0.170565 | + | 1.28451i | ||||
\(924\) | −22.0924 | + | 6.62919i | −0.726788 | + | 0.218084i | ||||
\(925\) | 5.25853 | − | 1.40902i | 0.172899 | − | 0.0463283i | ||||
\(926\) | 13.9699 | + | 31.3768i | 0.459078 | + | 1.03111i | ||||
\(927\) | −0.837911 | − | 3.94206i | −0.0275206 | − | 0.129474i | ||||
\(928\) | 4.68224 | − | 9.18941i | 0.153702 | − | 0.301657i | ||||
\(929\) | 5.54923 | + | 14.4562i | 0.182064 | + | 0.474294i | 0.993991 | − | 0.109466i | \(-0.0349142\pi\) |
−0.811926 | + | 0.583760i | \(0.801581\pi\) | |||||||
\(930\) | −7.47641 | − | 19.4767i | −0.245161 | − | 0.638667i | ||||
\(931\) | −14.4489 | + | 28.3576i | −0.473545 | + | 0.929384i | ||||
\(932\) | 13.9067 | + | 65.4257i | 0.455528 | + | 2.14309i | ||||
\(933\) | 11.7154 | + | 26.3131i | 0.383544 | + | 0.861453i | ||||
\(934\) | 13.2682 | − | 3.55521i | 0.434149 | − | 0.116330i | ||||
\(935\) | 5.30511 | − | 15.1513i | 0.173496 | − | 0.495502i | ||||
\(936\) | −2.62048 | − | 19.7346i | −0.0856531 | − | 0.645046i | ||||
\(937\) | 21.0607 | − | 28.9875i | 0.688022 | − | 0.946981i | −0.311973 | − | 0.950091i | \(-0.600990\pi\) |
0.999995 | + | 0.00310966i | \(0.000989836\pi\) | |||||||
\(938\) | −0.914156 | + | 17.4431i | −0.0298483 | + | 0.569539i | ||||
\(939\) | 7.78590 | + | 1.65494i | 0.254083 | + | 0.0540070i | ||||
\(940\) | 44.3917 | − | 99.7053i | 1.44790 | − | 3.25203i | ||||
\(941\) | 3.24581 | − | 20.4932i | 0.105810 | − | 0.668060i | −0.876585 | − | 0.481247i | \(-0.840184\pi\) |
0.982395 | − | 0.186813i | \(-0.0598158\pi\) | |||||||
\(942\) | 0.437278 | + | 8.34375i | 0.0142473 | + | 0.271854i | ||||
\(943\) | −24.4311 | − | 15.8657i | −0.795586 | − | 0.516660i | ||||
\(944\) | 16.2025 | − | 2.56622i | 0.527346 | − | 0.0835234i | ||||
\(945\) | 4.93784 | − | 2.85086i | 0.160628 | − | 0.0927386i | ||||
\(946\) | −21.5583 | − | 51.5300i | −0.700922 | − | 1.67538i | ||||
\(947\) | 8.09993 | + | 30.2294i | 0.263212 | + | 0.982322i | 0.963335 | + | 0.268300i | \(0.0864618\pi\) |
−0.700123 | + | 0.714022i | \(0.746871\pi\) | |||||||
\(948\) | 28.0863 | + | 20.4059i | 0.912199 | + | 0.662751i | ||||
\(949\) | 27.3692 | − | 32.1176i | 0.888443 | − | 1.04258i | ||||
\(950\) | 39.7845 | + | 122.444i | 1.29078 | + | 3.97261i | ||||
\(951\) | 3.90953 | − | 4.82787i | 0.126775 | − | 0.156554i | ||||
\(952\) | −12.6913 | + | 1.33391i | −0.411327 | + | 0.0432322i | ||||
\(953\) | −9.60468 | + | 10.6671i | −0.311126 | + | 0.345541i | −0.878346 | − | 0.478026i | \(-0.841352\pi\) |
0.567220 | + | 0.823567i | \(0.308019\pi\) | |||||||
\(954\) | −6.21254 | − | 12.1928i | −0.201138 | − | 0.394756i | ||||
\(955\) | 33.2689 | − | 26.9406i | 1.07656 | − | 0.871779i | ||||
\(956\) | 11.5592 | − | 43.1395i | 0.373851 | − | 1.39523i | ||||
\(957\) | 10.4704 | + | 10.9556i | 0.338460 | + | 0.354144i | ||||
\(958\) | −20.1201 | − | 34.8490i | −0.650050 | − | 1.12592i | ||||
\(959\) | 27.9609 | − | 12.4490i | 0.902905 | − | 0.401999i | ||||
\(960\) | 17.4027 | + | 0.912039i | 0.561671 | + | 0.0294359i | ||||
\(961\) | 23.9048 | − | 7.76715i | 0.771124 | − | 0.250553i | ||||
\(962\) | 0.176699 | − | 7.04789i | 0.00569699 | − | 0.227233i | ||||
\(963\) | 11.5718 | + | 15.9272i | 0.372896 | + | 0.513248i | ||||
\(964\) | 22.0200 | − | 14.3000i | 0.709218 | − | 0.460572i | ||||
\(965\) | 13.6850 | − | 12.3221i | 0.440537 | − | 0.396661i | ||||
\(966\) | −9.43969 | − | 0.992152i | −0.303717 | − | 0.0319220i | ||||
\(967\) | 35.0232 | − | 35.0232i | 1.12627 | − | 1.12627i | 0.135491 | − | 0.990779i | \(-0.456739\pi\) |
0.990779 | − | 0.135491i | \(-0.0432613\pi\) | |||||||
\(968\) | −35.3510 | + | 49.3877i | −1.13623 | + | 1.58738i | ||||
\(969\) | −10.0670 | − | 2.69744i | −0.323398 | − | 0.0866544i | ||||
\(970\) | −0.743381 | − | 4.69352i | −0.0238685 | − | 0.150700i | ||||
\(971\) | −18.8425 | + | 4.00510i | −0.604685 | + | 0.128530i | −0.500073 | − | 0.865983i | \(-0.666693\pi\) |
−0.104612 | + | 0.994513i | \(0.533360\pi\) | |||||||
\(972\) | −0.876310 | + | 4.12271i | −0.0281077 | + | 0.132236i | ||||
\(973\) | 7.52900 | + | 6.09687i | 0.241369 | + | 0.195457i | ||||
\(974\) | −25.8242 | + | 18.7624i | −0.827462 | + | 0.601186i | ||||
\(975\) | −4.58794 | − | 24.6013i | −0.146932 | − | 0.787874i | ||||
\(976\) | 63.8088 | + | 20.7327i | 2.04247 | + | 0.663639i | ||||
\(977\) | 38.0141 | + | 14.5922i | 1.21618 | + | 0.466847i | 0.880010 | − | 0.474955i | \(-0.157536\pi\) |
0.336168 | + | 0.941802i | \(0.390869\pi\) | |||||||
\(978\) | 13.2828 | + | 7.66881i | 0.424736 | + | 0.245222i | ||||
\(979\) | −27.1680 | + | 14.8757i | −0.868292 | + | 0.475430i | ||||
\(980\) | −44.0518 | − | 44.0518i | −1.40718 | − | 1.40718i | ||||
\(981\) | −7.98057 | − | 9.85519i | −0.254800 | − | 0.314652i | ||||
\(982\) | 31.9676 | − | 49.2257i | 1.02013 | − | 1.57086i | ||||
\(983\) | −0.420314 | − | 0.214161i | −0.0134059 | − | 0.00683067i | 0.447275 | − | 0.894397i | \(-0.352395\pi\) |
−0.460681 | + | 0.887566i | \(0.652395\pi\) | |||||||
\(984\) | −63.6788 | − | 28.3516i | −2.03000 | − | 0.903816i | ||||
\(985\) | −1.22090 | − | 11.6160i | −0.0389010 | − | 0.370118i | ||||
\(986\) | 8.68988 | + | 13.3812i | 0.276742 | + | 0.426146i | ||||
\(987\) | 3.82088 | − | 11.7595i | 0.121620 | − | 0.374308i | ||||
\(988\) | 113.030 | − | 3.08582i | 3.59598 | − | 0.0981729i | ||||
\(989\) | − | 15.5888i | − | 0.495696i | ||||||
\(990\) | 10.8402 | − | 26.4348i | 0.344525 | − | 0.840154i | ||||
\(991\) | 10.5907 | − | 18.3436i | 0.336424 | − | 0.582703i | −0.647333 | − | 0.762207i | \(-0.724116\pi\) |
0.983757 | + | 0.179504i | \(0.0574492\pi\) | |||||||
\(992\) | −0.571390 | + | 5.43642i | −0.0181417 | + | 0.172606i | ||||
\(993\) | −22.8631 | + | 11.6493i | −0.725539 | + | 0.369681i | ||||
\(994\) | 44.8508 | − | 2.35053i | 1.42258 | − | 0.0745544i | ||||
\(995\) | −59.4713 | + | 22.8289i | −1.88537 | + | 0.723724i | ||||
\(996\) | −38.7020 | − | 6.12979i | −1.22632 | − | 0.194230i | ||||
\(997\) | 1.55403 | + | 1.39925i | 0.0492166 | + | 0.0443148i | 0.693372 | − | 0.720580i | \(-0.256124\pi\) |
−0.644155 | + | 0.764895i | \(0.722791\pi\) | |||||||
\(998\) | 23.0118 | + | 25.5572i | 0.728426 | + | 0.808999i | ||||
\(999\) | −0.281086 | + | 0.732254i | −0.00889316 | + | 0.0231675i |
(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 | 429.2.bs.b.7.2 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.2 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.2 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.2 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.2 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.2 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.2 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.2 | yes | 224 | 143.41 | even | 60 | inner |