Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.9 | ||
Character | \(\chi\) | \(=\) | 378.41 |
Dual form | 378.2.z.a.83.9 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | 0.826027 | + | 1.52239i | 0.476907 | + | 0.878954i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | −1.99843 | − | 1.67688i | −0.893726 | − | 0.749925i | 0.0752280 | − | 0.997166i | \(-0.476032\pi\) |
−0.968954 | + | 0.247241i | \(0.920476\pi\) | |||||||
\(6\) | −1.07784 | − | 1.35583i | −0.440026 | − | 0.553514i | ||||
\(7\) | 1.84005 | − | 1.90111i | 0.695474 | − | 0.718551i | ||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −1.63536 | + | 2.51507i | −0.545120 | + | 0.838358i | ||||
\(10\) | 2.25926 | + | 1.30438i | 0.714440 | + | 0.412482i | ||||
\(11\) | 1.10056 | + | 1.31159i | 0.331830 | + | 0.395459i | 0.906001 | − | 0.423276i | \(-0.139120\pi\) |
−0.574171 | + | 0.818735i | \(0.694676\pi\) | |||||||
\(12\) | 1.29690 | + | 1.14806i | 0.374383 | + | 0.331417i | ||||
\(13\) | 6.54906 | + | 1.15478i | 1.81638 | + | 0.320277i | 0.975342 | − | 0.220697i | \(-0.0708333\pi\) |
0.841039 | + | 0.540974i | \(0.181944\pi\) | |||||||
\(14\) | −1.48197 | + | 2.19175i | −0.396074 | + | 0.585769i | ||||
\(15\) | 0.902117 | − | 4.42755i | 0.232926 | − | 1.14319i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 3.19200 | − | 5.52870i | 0.774173 | − | 1.34091i | −0.161085 | − | 0.986941i | \(-0.551499\pi\) |
0.935258 | − | 0.353967i | \(-0.115167\pi\) | |||||||
\(18\) | 1.17378 | − | 2.76084i | 0.276662 | − | 0.650737i | ||||
\(19\) | −1.36673 | + | 0.789081i | −0.313549 | + | 0.181028i | −0.648513 | − | 0.761203i | \(-0.724609\pi\) |
0.334965 | + | 0.942231i | \(0.391276\pi\) | |||||||
\(20\) | −2.45144 | − | 0.892251i | −0.548159 | − | 0.199513i | ||||
\(21\) | 4.41416 | + | 1.23092i | 0.963250 | + | 0.268608i | ||||
\(22\) | −1.31159 | − | 1.10056i | −0.279632 | − | 0.234639i | ||||
\(23\) | 2.89352 | + | 7.94988i | 0.603341 | + | 1.65767i | 0.744455 | + | 0.667672i | \(0.232709\pi\) |
−0.141114 | + | 0.989993i | \(0.545069\pi\) | |||||||
\(24\) | −1.47656 | − | 0.905418i | −0.301401 | − | 0.184818i | ||||
\(25\) | 0.313551 | + | 1.77824i | 0.0627102 | + | 0.355647i | ||||
\(26\) | −6.65009 | −1.30419 | ||||||||
\(27\) | −5.17978 | − | 0.412142i | −0.996849 | − | 0.0793167i | ||||
\(28\) | 1.07887 | − | 2.41579i | 0.203886 | − | 0.456542i | ||||
\(29\) | 3.93278 | − | 0.693456i | 0.730300 | − | 0.128772i | 0.203879 | − | 0.978996i | \(-0.434645\pi\) |
0.526420 | + | 0.850224i | \(0.323534\pi\) | |||||||
\(30\) | −0.119576 | + | 4.51694i | −0.0218316 | + | 0.824676i | ||||
\(31\) | 0.301809 | + | 0.829214i | 0.0542065 | + | 0.148931i | 0.963841 | − | 0.266479i | \(-0.0858603\pi\) |
−0.909634 | + | 0.415410i | \(0.863638\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −1.08767 | + | 2.75889i | −0.189339 | + | 0.480260i | ||||
\(34\) | −2.18346 | + | 5.99900i | −0.374460 | + | 1.02882i | ||||
\(35\) | −6.86515 | + | 0.713683i | −1.16042 | + | 0.120634i | ||||
\(36\) | −0.676530 | + | 2.92272i | −0.112755 | + | 0.487120i | ||||
\(37\) | −2.57189 | + | 4.45464i | −0.422816 | + | 0.732339i | −0.996214 | − | 0.0869382i | \(-0.972292\pi\) |
0.573398 | + | 0.819277i | \(0.305625\pi\) | |||||||
\(38\) | 1.20894 | − | 1.01442i | 0.196116 | − | 0.164561i | ||||
\(39\) | 3.65167 | + | 10.9241i | 0.584736 | + | 1.74926i | ||||
\(40\) | 2.56913 | + | 0.453008i | 0.406216 | + | 0.0716268i | ||||
\(41\) | −0.142302 | + | 0.807035i | −0.0222239 | + | 0.126038i | −0.993901 | − | 0.110273i | \(-0.964827\pi\) |
0.971677 | + | 0.236311i | \(0.0759385\pi\) | |||||||
\(42\) | −4.56085 | − | 0.445703i | −0.703754 | − | 0.0687735i | ||||
\(43\) | 6.82048 | − | 5.72306i | 1.04011 | − | 0.872758i | 0.0480935 | − | 0.998843i | \(-0.484685\pi\) |
0.992020 | + | 0.126084i | \(0.0402410\pi\) | |||||||
\(44\) | 1.48277 | + | 0.856080i | 0.223537 | + | 0.129059i | ||||
\(45\) | 7.48564 | − | 2.28390i | 1.11589 | − | 0.340463i | ||||
\(46\) | −4.23005 | − | 7.32665i | −0.623686 | − | 1.08026i | ||||
\(47\) | −6.60763 | − | 2.40498i | −0.963823 | − | 0.350803i | −0.188292 | − | 0.982113i | \(-0.560295\pi\) |
−0.775530 | + | 0.631310i | \(0.782517\pi\) | |||||||
\(48\) | 1.61135 | + | 0.635261i | 0.232578 | + | 0.0916920i | ||||
\(49\) | −0.228422 | − | 6.99627i | −0.0326318 | − | 0.999467i | ||||
\(50\) | −0.617575 | − | 1.69677i | −0.0873383 | − | 0.239960i | ||||
\(51\) | 11.0535 | + | 0.292619i | 1.54780 | + | 0.0409749i | ||||
\(52\) | 6.54906 | − | 1.15478i | 0.908191 | − | 0.160139i | ||||
\(53\) | − | 6.75035i | − | 0.927232i | −0.886036 | − | 0.463616i | \(-0.846552\pi\) | ||
0.886036 | − | 0.463616i | \(-0.153448\pi\) | |||||||
\(54\) | 5.17266 | − | 0.493579i | 0.703909 | − | 0.0671676i | ||||
\(55\) | − | 4.46663i | − | 0.602280i | ||||||
\(56\) | −0.642977 | + | 2.56643i | −0.0859214 | + | 0.342954i | ||||
\(57\) | −2.33024 | − | 1.42890i | −0.308648 | − | 0.189262i | ||||
\(58\) | −3.75262 | + | 1.36584i | −0.492743 | + | 0.179344i | ||||
\(59\) | 0.690522 | + | 0.579417i | 0.0898983 | + | 0.0754336i | 0.686629 | − | 0.727008i | \(-0.259090\pi\) |
−0.596731 | + | 0.802441i | \(0.703534\pi\) | |||||||
\(60\) | −0.666598 | − | 4.46908i | −0.0860574 | − | 0.576955i | ||||
\(61\) | −1.46604 | + | 4.02791i | −0.187707 | + | 0.515722i | −0.997474 | − | 0.0710302i | \(-0.977371\pi\) |
0.809767 | + | 0.586752i | \(0.199594\pi\) | |||||||
\(62\) | −0.441216 | − | 0.764208i | −0.0560344 | − | 0.0970545i | ||||
\(63\) | 1.77228 | + | 7.73686i | 0.223286 | + | 0.974753i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −11.1514 | − | 13.2897i | −1.38316 | − | 1.64839i | ||||
\(66\) | 0.592069 | − | 2.90584i | 0.0728786 | − | 0.357685i | ||||
\(67\) | −2.06631 | + | 11.7186i | −0.252440 | + | 1.43166i | 0.550120 | + | 0.835086i | \(0.314582\pi\) |
−0.802560 | + | 0.596572i | \(0.796529\pi\) | |||||||
\(68\) | 1.10857 | − | 6.28701i | 0.134434 | − | 0.762412i | ||||
\(69\) | −9.71272 | + | 10.9719i | −1.16927 | + | 1.32086i | ||||
\(70\) | 6.63693 | − | 1.89496i | 0.793265 | − | 0.226491i | ||||
\(71\) | 2.69703 | + | 1.55713i | 0.320079 | + | 0.184798i | 0.651428 | − | 0.758711i | \(-0.274170\pi\) |
−0.331349 | + | 0.943508i | \(0.607504\pi\) | |||||||
\(72\) | 0.158726 | − | 2.99580i | 0.0187061 | − | 0.353058i | ||||
\(73\) | 1.04793 | − | 0.605023i | 0.122651 | − | 0.0708126i | −0.437419 | − | 0.899258i | \(-0.644107\pi\) |
0.560070 | + | 0.828445i | \(0.310774\pi\) | |||||||
\(74\) | 1.75928 | − | 4.83357i | 0.204512 | − | 0.561891i | ||||
\(75\) | −2.44817 | + | 1.94622i | −0.282691 | + | 0.224730i | ||||
\(76\) | −1.01442 | + | 1.20894i | −0.116362 | + | 0.138675i | ||||
\(77\) | 4.51855 | + | 0.321120i | 0.514937 | + | 0.0365950i | ||||
\(78\) | −5.49315 | − | 10.1240i | −0.621977 | − | 1.14632i | ||||
\(79\) | −1.88666 | − | 10.6998i | −0.212266 | − | 1.20382i | −0.885588 | − | 0.464471i | \(-0.846245\pi\) |
0.673323 | − | 0.739349i | \(-0.264867\pi\) | |||||||
\(80\) | −2.60877 | −0.291669 | ||||||||
\(81\) | −3.65120 | − | 8.22610i | −0.405688 | − | 0.914011i | ||||
\(82\) | − | 0.819485i | − | 0.0904970i | ||||||
\(83\) | 0.170323 | + | 0.965952i | 0.0186954 | + | 0.106027i | 0.992728 | − | 0.120383i | \(-0.0384122\pi\) |
−0.974032 | + | 0.226410i | \(0.927301\pi\) | |||||||
\(84\) | 4.56896 | − | 0.353051i | 0.498514 | − | 0.0385211i | ||||
\(85\) | −15.6500 | + | 5.69613i | −1.69748 | + | 0.617832i | ||||
\(86\) | −5.72306 | + | 6.82048i | −0.617133 | + | 0.735471i | ||||
\(87\) | 4.30430 | + | 5.41443i | 0.461469 | + | 0.580488i | ||||
\(88\) | −1.60890 | − | 0.585593i | −0.171510 | − | 0.0624244i | ||||
\(89\) | −1.37986 | − | 2.38999i | −0.146265 | − | 0.253339i | 0.783579 | − | 0.621292i | \(-0.213392\pi\) |
−0.929844 | + | 0.367953i | \(0.880059\pi\) | |||||||
\(90\) | −6.97532 | + | 3.54907i | −0.735264 | + | 0.374105i | ||||
\(91\) | 14.2460 | − | 10.3256i | 1.49338 | − | 1.08242i | ||||
\(92\) | 5.43804 | + | 6.48081i | 0.566955 | + | 0.675671i | ||||
\(93\) | −1.01309 | + | 1.14443i | −0.105052 | + | 0.118671i | ||||
\(94\) | 6.92487 | + | 1.22104i | 0.714246 | + | 0.125941i | ||||
\(95\) | 4.05451 | + | 0.714919i | 0.415984 | + | 0.0733492i | ||||
\(96\) | −1.69718 | − | 0.345802i | −0.173218 | − | 0.0352933i | ||||
\(97\) | −11.7988 | − | 14.0613i | −1.19799 | − | 1.42770i | −0.876912 | − | 0.480650i | \(-0.840401\pi\) |
−0.321074 | − | 0.947054i | \(-0.604044\pi\) | |||||||
\(98\) | 1.43984 | + | 6.85032i | 0.145446 | + | 0.691987i | ||||
\(99\) | −5.09855 | + | 0.623055i | −0.512424 | + | 0.0626194i | ||||
\(100\) | 0.902835 | + | 1.56376i | 0.0902835 | + | 0.156376i | ||||
\(101\) | −1.77454 | − | 0.645878i | −0.176573 | − | 0.0642673i | 0.252221 | − | 0.967670i | \(-0.418839\pi\) |
−0.428794 | + | 0.903402i | \(0.641061\pi\) | |||||||
\(102\) | −10.9364 | + | 1.63125i | −1.08287 | + | 0.161518i | ||||
\(103\) | −11.5732 | + | 13.7924i | −1.14034 | + | 1.35900i | −0.216475 | + | 0.976288i | \(0.569456\pi\) |
−0.923866 | + | 0.382717i | \(0.874989\pi\) | |||||||
\(104\) | −6.24904 | + | 2.27446i | −0.612768 | + | 0.223029i | ||||
\(105\) | −6.75731 | − | 9.86194i | −0.659446 | − | 0.962427i | ||||
\(106\) | 1.17219 | + | 6.64779i | 0.113853 | + | 0.645691i | ||||
\(107\) | − | 12.3862i | − | 1.19742i | −0.800967 | − | 0.598708i | \(-0.795681\pi\) | ||
0.800967 | − | 0.598708i | \(-0.204319\pi\) | |||||||
\(108\) | −5.00836 | + | 1.38430i | −0.481930 | + | 0.133205i | ||||
\(109\) | −5.18562 | −0.496692 | −0.248346 | − | 0.968671i | \(-0.579887\pi\) | ||||
−0.248346 | + | 0.968671i | \(0.579887\pi\) | |||||||
\(110\) | 0.775622 | + | 4.39877i | 0.0739526 | + | 0.419406i | ||||
\(111\) | −8.90617 | − | 0.235772i | −0.845336 | − | 0.0223785i | ||||
\(112\) | 0.187552 | − | 2.63910i | 0.0177220 | − | 0.249371i | ||||
\(113\) | −11.9051 | + | 14.1880i | −1.11994 | + | 1.33469i | −0.183843 | + | 0.982956i | \(0.558854\pi\) |
−0.936098 | + | 0.351739i | \(0.885591\pi\) | |||||||
\(114\) | 2.54297 | + | 1.00254i | 0.238171 | + | 0.0938969i | ||||
\(115\) | 7.54853 | − | 20.7394i | 0.703904 | − | 1.93396i | ||||
\(116\) | 3.45843 | − | 1.99673i | 0.321107 | − | 0.185391i | ||||
\(117\) | −13.6144 | + | 14.5829i | −1.25865 | + | 1.34819i | ||||
\(118\) | −0.780646 | − | 0.450706i | −0.0718643 | − | 0.0414909i | ||||
\(119\) | −4.63722 | − | 16.2414i | −0.425093 | − | 1.48885i | ||||
\(120\) | 1.43252 | + | 4.28543i | 0.130770 | + | 0.391204i | ||||
\(121\) | 1.40108 | − | 7.94593i | 0.127371 | − | 0.722357i | ||||
\(122\) | 0.744328 | − | 4.22130i | 0.0673883 | − | 0.382178i | ||||
\(123\) | −1.34617 | + | 0.449993i | −0.121380 | + | 0.0405745i | ||||
\(124\) | 0.567216 | + | 0.675982i | 0.0509375 | + | 0.0607049i | ||||
\(125\) | −4.16663 | + | 7.21682i | −0.372675 | + | 0.645492i | ||||
\(126\) | −3.08885 | − | 7.31157i | −0.275176 | − | 0.651366i | ||||
\(127\) | 1.15030 | + | 1.99238i | 0.102073 | + | 0.176796i | 0.912539 | − | 0.408991i | \(-0.134119\pi\) |
−0.810466 | + | 0.585786i | \(0.800786\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 14.3466 | + | 5.65605i | 1.26315 | + | 0.497987i | ||||
\(130\) | 13.2897 | + | 11.1514i | 1.16559 | + | 0.978044i | ||||
\(131\) | 13.0034 | − | 4.73283i | 1.13611 | − | 0.413510i | 0.295602 | − | 0.955311i | \(-0.404480\pi\) |
0.840506 | + | 0.541802i | \(0.182258\pi\) | |||||||
\(132\) | −0.0784792 | + | 2.96451i | −0.00683073 | + | 0.258027i | ||||
\(133\) | −1.01472 | + | 4.05025i | −0.0879875 | + | 0.351201i | ||||
\(134\) | − | 11.8994i | − | 1.02795i | ||||||
\(135\) | 9.66033 | + | 9.50953i | 0.831429 | + | 0.818450i | ||||
\(136\) | 6.38400i | 0.547423i | ||||||||
\(137\) | −9.76310 | + | 1.72150i | −0.834118 | + | 0.147078i | −0.574367 | − | 0.818598i | \(-0.694752\pi\) |
−0.259751 | + | 0.965676i | \(0.583641\pi\) | |||||||
\(138\) | 7.65991 | − | 12.4918i | 0.652055 | − | 1.06337i | ||||
\(139\) | −2.00774 | − | 5.51622i | −0.170294 | − | 0.467879i | 0.824960 | − | 0.565191i | \(-0.191198\pi\) |
−0.995254 | + | 0.0973121i | \(0.968976\pi\) | |||||||
\(140\) | −6.20704 | + | 3.01866i | −0.524591 | + | 0.255124i | ||||
\(141\) | −1.79675 | − | 12.0460i | −0.151314 | − | 1.01446i | ||||
\(142\) | −2.92645 | − | 1.06514i | −0.245582 | − | 0.0893846i | ||||
\(143\) | 5.69301 | + | 9.86057i | 0.476073 | + | 0.824583i | ||||
\(144\) | 0.363900 | + | 2.97785i | 0.0303250 | + | 0.248154i | ||||
\(145\) | −9.02225 | − | 5.20900i | −0.749257 | − | 0.432584i | ||||
\(146\) | −0.926949 | + | 0.777803i | −0.0767148 | + | 0.0643714i | ||||
\(147\) | 10.4624 | − | 6.12686i | 0.862924 | − | 0.505335i | ||||
\(148\) | −0.893208 | + | 5.06563i | −0.0734212 | + | 0.416393i | ||||
\(149\) | 2.92838 | + | 0.516353i | 0.239903 | + | 0.0423013i | 0.292307 | − | 0.956325i | \(-0.405577\pi\) |
−0.0524040 | + | 0.998626i | \(0.516688\pi\) | |||||||
\(150\) | 2.07302 | − | 2.34177i | 0.169262 | − | 0.191205i | ||||
\(151\) | −1.27898 | + | 1.07319i | −0.104082 | + | 0.0873353i | −0.693344 | − | 0.720607i | \(-0.743863\pi\) |
0.589262 | + | 0.807942i | \(0.299419\pi\) | |||||||
\(152\) | 0.789081 | − | 1.36673i | 0.0640029 | − | 0.110856i | ||||
\(153\) | 8.68503 | + | 17.0695i | 0.702143 | + | 1.37999i | ||||
\(154\) | −4.50567 | + | 0.468397i | −0.363077 | + | 0.0377445i | ||||
\(155\) | 0.787350 | − | 2.16323i | 0.0632415 | − | 0.173755i | ||||
\(156\) | 7.16772 | + | 9.01636i | 0.573877 | + | 0.721887i | ||||
\(157\) | −4.83620 | + | 5.76356i | −0.385971 | + | 0.459983i | −0.923689 | − | 0.383142i | \(-0.874842\pi\) |
0.537718 | + | 0.843125i | \(0.319286\pi\) | |||||||
\(158\) | 3.71600 | + | 10.2096i | 0.295629 | + | 0.812233i | ||||
\(159\) | 10.2767 | − | 5.57597i | 0.814994 | − | 0.442203i | ||||
\(160\) | 2.56913 | − | 0.453008i | 0.203108 | − | 0.0358134i | ||||
\(161\) | 20.4378 | + | 9.12730i | 1.61073 | + | 0.719332i | ||||
\(162\) | 5.02417 | + | 7.46711i | 0.394736 | + | 0.586671i | ||||
\(163\) | −7.10349 | −0.556388 | −0.278194 | − | 0.960525i | \(-0.589736\pi\) | ||||
−0.278194 | + | 0.960525i | \(0.589736\pi\) | |||||||
\(164\) | 0.142302 | + | 0.807035i | 0.0111119 | + | 0.0630189i | ||||
\(165\) | 6.79996 | − | 3.68955i | 0.529376 | − | 0.287231i | ||||
\(166\) | −0.335471 | − | 0.921700i | −0.0260376 | − | 0.0715378i | ||||
\(167\) | 9.09652 | + | 7.63288i | 0.703910 | + | 0.590650i | 0.922883 | − | 0.385080i | \(-0.125826\pi\) |
−0.218973 | + | 0.975731i | \(0.570271\pi\) | |||||||
\(168\) | −4.43824 | + | 1.14108i | −0.342417 | + | 0.0880361i | ||||
\(169\) | 29.3406 | + | 10.6791i | 2.25697 | + | 0.821470i | ||||
\(170\) | 14.4231 | − | 8.32718i | 1.10620 | − | 0.638666i | ||||
\(171\) | 0.250495 | − | 4.72785i | 0.0191559 | − | 0.361548i | ||||
\(172\) | 4.45175 | − | 7.71066i | 0.339443 | − | 0.587932i | ||||
\(173\) | 4.23871 | − | 3.55670i | 0.322263 | − | 0.270411i | −0.467275 | − | 0.884112i | \(-0.654764\pi\) |
0.789539 | + | 0.613701i | \(0.210320\pi\) | |||||||
\(174\) | −5.17911 | − | 4.58474i | −0.392627 | − | 0.347568i | ||||
\(175\) | 3.95757 | + | 2.67595i | 0.299164 | + | 0.202283i | ||||
\(176\) | 1.68615 | + | 0.297313i | 0.127098 | + | 0.0224108i | ||||
\(177\) | −0.311710 | + | 1.52986i | −0.0234296 | + | 0.114991i | ||||
\(178\) | 1.77392 | + | 2.11407i | 0.132961 | + | 0.158457i | ||||
\(179\) | 16.3924 | + | 9.46415i | 1.22522 | + | 0.707384i | 0.966027 | − | 0.258441i | \(-0.0832087\pi\) |
0.259197 | + | 0.965824i | \(0.416542\pi\) | |||||||
\(180\) | 6.25306 | − | 4.70640i | 0.466076 | − | 0.350794i | ||||
\(181\) | −11.2216 | + | 6.47882i | −0.834099 | + | 0.481567i | −0.855254 | − | 0.518209i | \(-0.826599\pi\) |
0.0211554 | + | 0.999776i | \(0.493266\pi\) | |||||||
\(182\) | −12.2365 | + | 12.6425i | −0.907030 | + | 0.937127i | ||||
\(183\) | −7.34306 | + | 1.09527i | −0.542814 | + | 0.0809650i | ||||
\(184\) | −6.48081 | − | 5.43804i | −0.477771 | − | 0.400898i | ||||
\(185\) | 12.6097 | − | 4.58954i | 0.927081 | − | 0.337430i | ||||
\(186\) | 0.798969 | − | 1.30296i | 0.0585832 | − | 0.0955376i | ||||
\(187\) | 10.7644 | − | 1.89805i | 0.787168 | − | 0.138799i | ||||
\(188\) | −7.03170 | −0.512839 | ||||||||
\(189\) | −10.3146 | + | 9.08896i | −0.750276 | + | 0.661125i | ||||
\(190\) | −4.11706 | −0.298683 | ||||||||
\(191\) | 1.21312 | − | 0.213906i | 0.0877784 | − | 0.0154777i | −0.129586 | − | 0.991568i | \(-0.541365\pi\) |
0.217365 | + | 0.976090i | \(0.430254\pi\) | |||||||
\(192\) | 1.73144 | + | 0.0458363i | 0.124956 | + | 0.00330795i | ||||
\(193\) | −24.6718 | + | 8.97980i | −1.77591 | + | 0.646380i | −0.776037 | + | 0.630687i | \(0.782773\pi\) |
−0.999877 | + | 0.0156930i | \(0.995005\pi\) | |||||||
\(194\) | 14.0613 | + | 11.7988i | 1.00954 | + | 0.847104i | ||||
\(195\) | 11.0208 | − | 27.9545i | 0.789219 | − | 2.00187i | ||||
\(196\) | −2.60751 | − | 6.49622i | −0.186251 | − | 0.464016i | ||||
\(197\) | 9.13794 | − | 5.27579i | 0.651051 | − | 0.375884i | −0.137808 | − | 0.990459i | \(-0.544006\pi\) |
0.788859 | + | 0.614575i | \(0.210672\pi\) | |||||||
\(198\) | 4.91290 | − | 1.49894i | 0.349145 | − | 0.106525i | ||||
\(199\) | −5.90158 | − | 3.40728i | −0.418352 | − | 0.241536i | 0.276020 | − | 0.961152i | \(-0.410984\pi\) |
−0.694372 | + | 0.719616i | \(0.744318\pi\) | |||||||
\(200\) | −1.16066 | − | 1.38322i | −0.0820712 | − | 0.0978086i | ||||
\(201\) | −19.5472 | + | 6.53416i | −1.37875 | + | 0.460884i | ||||
\(202\) | 1.85973 | + | 0.327921i | 0.130850 | + | 0.0230724i | ||||
\(203\) | 5.91819 | − | 8.75264i | 0.415376 | − | 0.614315i | ||||
\(204\) | 10.4870 | − | 3.50556i | 0.734237 | − | 0.245438i | ||||
\(205\) | 1.63769 | − | 1.37418i | 0.114381 | − | 0.0959770i | ||||
\(206\) | 9.00235 | − | 15.5925i | 0.627223 | − | 1.08638i | ||||
\(207\) | −24.7265 | − | 5.72350i | −1.71861 | − | 0.397811i | ||||
\(208\) | 5.75914 | − | 3.32504i | 0.399325 | − | 0.230550i | ||||
\(209\) | −2.53911 | − | 0.924161i | −0.175634 | − | 0.0639255i | ||||
\(210\) | 8.36716 | + | 8.53872i | 0.577389 | + | 0.589228i | ||||
\(211\) | 0.224300 | + | 0.188210i | 0.0154414 | + | 0.0129569i | 0.650476 | − | 0.759527i | \(-0.274570\pi\) |
−0.635034 | + | 0.772484i | \(0.719014\pi\) | |||||||
\(212\) | −2.30875 | − | 6.34325i | −0.158566 | − | 0.435656i | ||||
\(213\) | −0.142746 | + | 5.39217i | −0.00978083 | + | 0.369466i | ||||
\(214\) | 2.15084 | + | 12.1980i | 0.147028 | + | 0.833838i | ||||
\(215\) | −23.2272 | −1.58408 | ||||||||
\(216\) | 4.69189 | − | 2.23297i | 0.319243 | − | 0.151934i | ||||
\(217\) | 2.13177 | + | 0.952025i | 0.144714 | + | 0.0646276i | ||||
\(218\) | 5.10683 | − | 0.900473i | 0.345878 | − | 0.0609877i | ||||
\(219\) | 1.78670 | + | 1.09560i | 0.120734 | + | 0.0740336i | ||||
\(220\) | −1.52768 | − | 4.19726i | −0.102996 | − | 0.282979i | ||||
\(221\) | 27.2890 | − | 32.5218i | 1.83566 | − | 2.18765i | ||||
\(222\) | 8.81180 | − | 1.31435i | 0.591410 | − | 0.0882134i | ||||
\(223\) | −5.80906 | + | 15.9603i | −0.389003 | + | 1.06878i | 0.578448 | + | 0.815719i | \(0.303659\pi\) |
−0.967451 | + | 0.253058i | \(0.918564\pi\) | |||||||
\(224\) | 0.273571 | + | 2.63157i | 0.0182787 | + | 0.175829i | ||||
\(225\) | −4.98517 | − | 2.11945i | −0.332345 | − | 0.141297i | ||||
\(226\) | 9.26056 | − | 16.0398i | 0.616003 | − | 1.06695i | ||||
\(227\) | −20.3610 | + | 17.0849i | −1.35141 | + | 1.13397i | −0.372874 | + | 0.927882i | \(0.621628\pi\) |
−0.978534 | + | 0.206085i | \(0.933928\pi\) | |||||||
\(228\) | −2.67842 | − | 0.545732i | −0.177383 | − | 0.0361420i | ||||
\(229\) | 0.678629 | + | 0.119661i | 0.0448451 | + | 0.00790739i | 0.196026 | − | 0.980599i | \(-0.437196\pi\) |
−0.151181 | + | 0.988506i | \(0.548308\pi\) | |||||||
\(230\) | −3.83249 | + | 21.7351i | −0.252707 | + | 1.43317i | ||||
\(231\) | 3.24358 | + | 7.14427i | 0.213412 | + | 0.470058i | ||||
\(232\) | −3.05916 | + | 2.56694i | −0.200844 | + | 0.168528i | ||||
\(233\) | −4.56619 | − | 2.63629i | −0.299141 | − | 0.172709i | 0.342916 | − | 0.939366i | \(-0.388585\pi\) |
−0.642057 | + | 0.766657i | \(0.721919\pi\) | |||||||
\(234\) | 10.8753 | − | 16.7255i | 0.710940 | − | 1.09338i | ||||
\(235\) | 9.17203 | + | 15.8864i | 0.598318 | + | 1.03632i | ||||
\(236\) | 0.847050 | + | 0.308301i | 0.0551383 | + | 0.0200687i | ||||
\(237\) | 14.7308 | − | 11.7105i | 0.956871 | − | 0.760682i | ||||
\(238\) | 7.38707 | + | 15.1894i | 0.478832 | + | 0.984585i | ||||
\(239\) | 7.71216 | + | 21.1890i | 0.498858 | + | 1.37060i | 0.892380 | + | 0.451285i | \(0.149034\pi\) |
−0.393522 | + | 0.919315i | \(0.628743\pi\) | |||||||
\(240\) | −2.15491 | − | 3.97157i | −0.139099 | − | 0.256364i | ||||
\(241\) | −23.0229 | + | 4.05955i | −1.48303 | + | 0.261499i | −0.855790 | − | 0.517324i | \(-0.826928\pi\) |
−0.627244 | + | 0.778823i | \(0.715817\pi\) | |||||||
\(242\) | 8.06851i | 0.518663i | ||||||||
\(243\) | 9.50737 | − | 12.3535i | 0.609898 | − | 0.792480i | ||||
\(244\) | 4.28642i | 0.274410i | ||||||||
\(245\) | −11.2754 | + | 14.3646i | −0.720362 | + | 0.917721i | ||||
\(246\) | 1.24758 | − | 0.676917i | 0.0795427 | − | 0.0431586i | ||||
\(247\) | −9.86199 | + | 3.58947i | −0.627503 | + | 0.228393i | ||||
\(248\) | −0.675982 | − | 0.567216i | −0.0429249 | − | 0.0360182i | ||||
\(249\) | −1.32987 | + | 1.05720i | −0.0842768 | + | 0.0669974i | ||||
\(250\) | 2.85014 | − | 7.83071i | 0.180259 | − | 0.495258i | ||||
\(251\) | −9.14058 | − | 15.8320i | −0.576949 | − | 0.999304i | −0.995827 | − | 0.0912619i | \(-0.970910\pi\) |
0.418878 | − | 0.908042i | \(-0.362423\pi\) | |||||||
\(252\) | 4.31156 | + | 6.66412i | 0.271603 | + | 0.419800i | ||||
\(253\) | −7.24251 | + | 12.5444i | −0.455333 | + | 0.788660i | ||||
\(254\) | −1.47880 | − | 1.76237i | −0.0927883 | − | 0.110581i | ||||
\(255\) | −21.5991 | − | 19.1203i | −1.35259 | − | 1.19736i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 0.169038 | − | 0.958665i | 0.0105443 | − | 0.0597999i | −0.979082 | − | 0.203468i | \(-0.934779\pi\) |
0.989626 | + | 0.143668i | \(0.0458898\pi\) | |||||||
\(258\) | −15.1108 | − | 3.07885i | −0.940760 | − | 0.191681i | ||||
\(259\) | 3.73635 | + | 13.0862i | 0.232165 | + | 0.813138i | ||||
\(260\) | −15.0243 | − | 8.67427i | −0.931766 | − | 0.537955i | ||||
\(261\) | −4.68742 | + | 11.0253i | −0.290144 | + | 0.682449i | ||||
\(262\) | −11.9840 | + | 6.91894i | −0.740371 | + | 0.427454i | ||||
\(263\) | 7.50286 | − | 20.6139i | 0.462646 | − | 1.27111i | −0.460842 | − | 0.887482i | \(-0.652452\pi\) |
0.923488 | − | 0.383628i | \(-0.125325\pi\) | |||||||
\(264\) | −0.437495 | − | 2.93310i | −0.0269259 | − | 0.180520i | ||||
\(265\) | −11.3195 | + | 13.4901i | −0.695354 | + | 0.828691i | ||||
\(266\) | 0.295988 | − | 4.16492i | 0.0181482 | − | 0.255368i | ||||
\(267\) | 2.49871 | − | 4.07489i | 0.152918 | − | 0.249379i | ||||
\(268\) | 2.06631 | + | 11.7186i | 0.126220 | + | 0.715829i | ||||
\(269\) | 11.0618 | 0.674447 | 0.337224 | − | 0.941425i | \(-0.390512\pi\) | ||||
0.337224 | + | 0.941425i | \(0.390512\pi\) | |||||||
\(270\) | −11.1649 | − | 7.68756i | −0.679473 | − | 0.467850i | ||||
\(271\) | − | 5.87429i | − | 0.356838i | −0.983955 | − | 0.178419i | \(-0.942902\pi\) | ||
0.983955 | − | 0.178419i | \(-0.0570982\pi\) | |||||||
\(272\) | −1.10857 | − | 6.28701i | −0.0672169 | − | 0.381206i | ||||
\(273\) | 27.4872 | + | 13.1587i | 1.66360 | + | 0.796401i | ||||
\(274\) | 9.31584 | − | 3.39069i | 0.562791 | − | 0.204839i | ||||
\(275\) | −1.98724 | + | 2.36830i | −0.119835 | + | 0.142814i | ||||
\(276\) | −5.37436 | + | 13.6322i | −0.323499 | + | 0.820559i | ||||
\(277\) | 9.97230 | + | 3.62962i | 0.599177 | + | 0.218083i | 0.623761 | − | 0.781615i | \(-0.285604\pi\) |
−0.0245838 | + | 0.999698i | \(0.507826\pi\) | |||||||
\(278\) | 2.93512 | + | 5.08377i | 0.176037 | + | 0.304904i | ||||
\(279\) | −2.57910 | − | 0.596991i | −0.154407 | − | 0.0357409i | ||||
\(280\) | 5.58856 | − | 4.05064i | 0.333980 | − | 0.242072i | ||||
\(281\) | −0.941246 | − | 1.12173i | −0.0561500 | − | 0.0669170i | 0.737238 | − | 0.675633i | \(-0.236129\pi\) |
−0.793388 | + | 0.608716i | \(0.791685\pi\) | |||||||
\(282\) | 3.86122 | + | 11.5510i | 0.229932 | + | 0.687851i | ||||
\(283\) | 5.63290 | + | 0.993233i | 0.334841 | + | 0.0590416i | 0.338541 | − | 0.940952i | \(-0.390067\pi\) |
−0.00369981 | + | 0.999993i | \(0.501178\pi\) | |||||||
\(284\) | 3.06695 | + | 0.540786i | 0.181990 | + | 0.0320898i | ||||
\(285\) | 2.26074 | + | 6.76310i | 0.133915 | + | 0.400611i | ||||
\(286\) | −7.31879 | − | 8.72219i | −0.432769 | − | 0.515754i | ||||
\(287\) | 1.27242 | + | 1.75552i | 0.0751085 | + | 0.103625i | ||||
\(288\) | −0.875469 | − | 2.86942i | −0.0515875 | − | 0.169082i | ||||
\(289\) | −11.8777 | − | 20.5728i | −0.698689 | − | 1.21016i | ||||
\(290\) | 9.78971 | + | 3.56316i | 0.574872 | + | 0.209236i | ||||
\(291\) | 11.6606 | − | 29.5774i | 0.683559 | − | 1.73386i | ||||
\(292\) | 0.777803 | − | 0.926949i | 0.0455175 | − | 0.0542456i | ||||
\(293\) | −19.9297 | + | 7.25381i | −1.16430 | + | 0.423772i | −0.850633 | − | 0.525760i | \(-0.823781\pi\) |
−0.313671 | + | 0.949532i | \(0.601559\pi\) | |||||||
\(294\) | −9.23953 | + | 7.85055i | −0.538860 | + | 0.457853i | ||||
\(295\) | −0.408347 | − | 2.31585i | −0.0237749 | − | 0.134834i | ||||
\(296\) | − | 5.14378i | − | 0.298976i | ||||||
\(297\) | −5.16007 | − | 7.24734i | −0.299418 | − | 0.420533i | ||||
\(298\) | −2.97356 | −0.172254 | ||||||||
\(299\) | 9.76950 | + | 55.4056i | 0.564985 | + | 3.20419i | ||||
\(300\) | −1.63488 | + | 2.66617i | −0.0943901 | + | 0.153932i | ||||
\(301\) | 1.66987 | − | 23.4972i | 0.0962499 | − | 1.35436i | ||||
\(302\) | 1.07319 | − | 1.27898i | 0.0617554 | − | 0.0735972i | ||||
\(303\) | −0.482534 | − | 3.23505i | −0.0277208 | − | 0.185849i | ||||
\(304\) | −0.539763 | + | 1.48299i | −0.0309575 | + | 0.0850551i | ||||
\(305\) | 9.68413 | − | 5.59113i | 0.554511 | − | 0.320147i | ||||
\(306\) | −11.5172 | − | 15.3021i | −0.658393 | − | 0.874761i | ||||
\(307\) | 9.39899 | + | 5.42651i | 0.536429 | + | 0.309707i | 0.743630 | − | 0.668591i | \(-0.233102\pi\) |
−0.207202 | + | 0.978298i | \(0.566436\pi\) | |||||||
\(308\) | 4.35588 | − | 1.24368i | 0.248199 | − | 0.0708654i | ||||
\(309\) | −30.5572 | − | 6.22606i | −1.73834 | − | 0.354188i | ||||
\(310\) | −0.399748 | + | 2.26709i | −0.0227042 | + | 0.128762i | ||||
\(311\) | −1.03703 | + | 5.88131i | −0.0588048 | + | 0.333499i | −0.999990 | − | 0.00439151i | \(-0.998602\pi\) |
0.941186 | + | 0.337890i | \(0.109713\pi\) | |||||||
\(312\) | −8.62450 | − | 7.63472i | −0.488266 | − | 0.432231i | ||||
\(313\) | 2.45451 | + | 2.92517i | 0.138737 | + | 0.165340i | 0.830939 | − | 0.556363i | \(-0.187804\pi\) |
−0.692202 | + | 0.721704i | \(0.743359\pi\) | |||||||
\(314\) | 3.76190 | − | 6.51580i | 0.212296 | − | 0.367708i | ||||
\(315\) | 9.43203 | − | 18.4335i | 0.531435 | − | 1.03861i | ||||
\(316\) | −5.43242 | − | 9.40923i | −0.305598 | − | 0.529311i | ||||
\(317\) | −6.10186 | + | 16.7647i | −0.342715 | + | 0.941601i | 0.641889 | + | 0.766798i | \(0.278151\pi\) |
−0.984603 | + | 0.174803i | \(0.944071\pi\) | |||||||
\(318\) | −9.15230 | + | 7.27578i | −0.513235 | + | 0.408006i | ||||
\(319\) | 5.23778 | + | 4.39502i | 0.293259 | + | 0.246074i | ||||
\(320\) | −2.45144 | + | 0.892251i | −0.137040 | + | 0.0498784i | ||||
\(321\) | 18.8566 | − | 10.2313i | 1.05247 | − | 0.571056i | ||||
\(322\) | −21.7123 | − | 5.43965i | −1.20998 | − | 0.303140i | ||||
\(323\) | 10.0750i | 0.560587i | ||||||||
\(324\) | −6.24449 | − | 6.48123i | −0.346916 | − | 0.360068i | ||||
\(325\) | 12.0079i | 0.666076i | ||||||||
\(326\) | 6.99557 | − | 1.23351i | 0.387449 | − | 0.0683177i | ||||
\(327\) | −4.28346 | − | 7.89454i | −0.236876 | − | 0.436569i | ||||
\(328\) | −0.280280 | − | 0.770064i | −0.0154759 | − | 0.0425197i | ||||
\(329\) | −16.7305 | + | 8.13654i | −0.922383 | + | 0.448582i | ||||
\(330\) | −6.05597 | + | 4.81430i | −0.333370 | + | 0.265019i | ||||
\(331\) | 19.6490 | + | 7.15164i | 1.08000 | + | 0.393090i | 0.819909 | − | 0.572493i | \(-0.194024\pi\) |
0.260095 | + | 0.965583i | \(0.416246\pi\) | |||||||
\(332\) | 0.490426 | + | 0.849443i | 0.0269156 | + | 0.0466193i | ||||
\(333\) | −6.99779 | − | 13.7534i | −0.383477 | − | 0.753684i | ||||
\(334\) | −10.2838 | − | 5.93733i | −0.562702 | − | 0.324876i | ||||
\(335\) | 23.7801 | − | 19.9539i | 1.29925 | − | 1.09020i | ||||
\(336\) | 4.17266 | − | 1.89443i | 0.227637 | − | 0.103350i | ||||
\(337\) | 4.43907 | − | 25.1752i | 0.241812 | − | 1.37138i | −0.585970 | − | 0.810333i | \(-0.699286\pi\) |
0.827782 | − | 0.561050i | \(-0.189602\pi\) | |||||||
\(338\) | −30.7493 | − | 5.42193i | −1.67254 | − | 0.294914i | ||||
\(339\) | −31.4337 | − | 6.40464i | −1.70724 | − | 0.347852i | ||||
\(340\) | −12.7580 | + | 10.7052i | −0.691899 | + | 0.580572i | ||||
\(341\) | −0.755432 | + | 1.30845i | −0.0409089 | + | 0.0708563i | ||||
\(342\) | 0.574293 | + | 4.69952i | 0.0310542 | + | 0.254121i | ||||
\(343\) | −13.7210 | − | 12.4392i | −0.740863 | − | 0.671656i | ||||
\(344\) | −3.04518 | + | 8.36655i | −0.164185 | + | 0.451094i | ||||
\(345\) | 37.8088 | − | 5.63948i | 2.03556 | − | 0.303619i | ||||
\(346\) | −3.55670 | + | 4.23871i | −0.191210 | + | 0.227875i | ||||
\(347\) | 1.84812 | + | 5.07767i | 0.0992124 | + | 0.272584i | 0.979362 | − | 0.202112i | \(-0.0647804\pi\) |
−0.880150 | + | 0.474695i | \(0.842558\pi\) | |||||||
\(348\) | 5.89656 | + | 3.61574i | 0.316089 | + | 0.193824i | ||||
\(349\) | −13.2466 | + | 2.33574i | −0.709076 | + | 0.125029i | −0.516543 | − | 0.856261i | \(-0.672781\pi\) |
−0.192533 | + | 0.981291i | \(0.561670\pi\) | |||||||
\(350\) | −4.36212 | − | 1.94807i | −0.233165 | − | 0.104129i | ||||
\(351\) | −33.4468 | − | 8.68062i | −1.78526 | − | 0.463337i | ||||
\(352\) | −1.71216 | −0.0912584 | ||||||||
\(353\) | −1.52656 | − | 8.65757i | −0.0812507 | − | 0.460796i | −0.998103 | − | 0.0615688i | \(-0.980390\pi\) |
0.916852 | − | 0.399227i | \(-0.130721\pi\) | |||||||
\(354\) | 0.0413174 | − | 1.56074i | 0.00219600 | − | 0.0829527i | ||||
\(355\) | −2.77871 | − | 7.63443i | −0.147478 | − | 0.405193i | ||||
\(356\) | −2.11407 | − | 1.77392i | −0.112046 | − | 0.0940175i | ||||
\(357\) | 20.8954 | − | 20.4755i | 1.10590 | − | 1.08368i | ||||
\(358\) | −17.7868 | − | 6.47386i | −0.940060 | − | 0.342154i | ||||
\(359\) | −23.4946 | + | 13.5646i | −1.24000 | + | 0.715914i | −0.969094 | − | 0.246692i | \(-0.920656\pi\) |
−0.270905 | + | 0.962606i | \(0.587323\pi\) | |||||||
\(360\) | −5.34081 | + | 5.72073i | −0.281485 | + | 0.301509i | ||||
\(361\) | −8.25470 | + | 14.2976i | −0.434458 | + | 0.752503i | ||||
\(362\) | 9.92613 | − | 8.32901i | 0.521706 | − | 0.437763i | ||||
\(363\) | 13.2542 | − | 4.43055i | 0.695663 | − | 0.232544i | ||||
\(364\) | 9.85525 | − | 14.5753i | 0.516555 | − | 0.763954i | ||||
\(365\) | −3.10877 | − | 0.548160i | −0.162721 | − | 0.0286920i | ||||
\(366\) | 7.04131 | − | 2.35374i | 0.368055 | − | 0.123032i | ||||
\(367\) | 14.0714 | + | 16.7696i | 0.734521 | + | 0.875368i | 0.995955 | − | 0.0898533i | \(-0.0286398\pi\) |
−0.261434 | + | 0.965221i | \(0.584195\pi\) | |||||||
\(368\) | 7.32665 | + | 4.23005i | 0.381928 | + | 0.220506i | ||||
\(369\) | −1.79704 | − | 1.67769i | −0.0935501 | − | 0.0873373i | ||||
\(370\) | −11.6211 | + | 6.70946i | −0.604154 | + | 0.348808i | ||||
\(371\) | −12.8331 | − | 12.4210i | −0.666263 | − | 0.644865i | ||||
\(372\) | −0.560574 | + | 1.42190i | −0.0290644 | + | 0.0737223i | ||||
\(373\) | 3.63872 | + | 3.05325i | 0.188406 | + | 0.158091i | 0.732112 | − | 0.681185i | \(-0.238535\pi\) |
−0.543706 | + | 0.839276i | \(0.682979\pi\) | |||||||
\(374\) | −10.2712 | + | 3.73843i | −0.531113 | + | 0.193309i | ||||
\(375\) | −14.4286 | − | 0.381966i | −0.745089 | − | 0.0197247i | ||||
\(376\) | 6.92487 | − | 1.22104i | 0.357123 | − | 0.0629704i | ||||
\(377\) | 26.5568 | 1.36775 | ||||||||
\(378\) | 8.57961 | − | 10.7420i | 0.441287 | − | 0.552508i | ||||
\(379\) | 25.0501 | 1.28674 | 0.643368 | − | 0.765557i | \(-0.277537\pi\) | ||||
0.643368 | + | 0.765557i | \(0.277537\pi\) | |||||||
\(380\) | 4.05451 | − | 0.714919i | 0.207992 | − | 0.0366746i | ||||
\(381\) | −2.08301 | + | 3.39698i | −0.106716 | + | 0.174032i | ||||
\(382\) | −1.15755 | + | 0.421312i | −0.0592252 | + | 0.0215562i | ||||
\(383\) | −8.07952 | − | 6.77952i | −0.412844 | − | 0.346417i | 0.412589 | − | 0.910917i | \(-0.364625\pi\) |
−0.825433 | + | 0.564500i | \(0.809069\pi\) | |||||||
\(384\) | −1.71310 | + | 0.255522i | −0.0874212 | + | 0.0130396i | ||||
\(385\) | −8.49154 | − | 8.21882i | −0.432769 | − | 0.418870i | ||||
\(386\) | 22.7376 | − | 13.1276i | 1.15732 | − | 0.668176i | ||||
\(387\) | 3.23999 | + | 26.5133i | 0.164698 | + | 1.34775i | ||||
\(388\) | −15.8965 | − | 9.17783i | −0.807021 | − | 0.465934i | ||||
\(389\) | −14.6938 | − | 17.5114i | −0.745007 | − | 0.887865i | 0.251795 | − | 0.967781i | \(-0.418979\pi\) |
−0.996802 | + | 0.0799161i | \(0.974535\pi\) | |||||||
\(390\) | −5.99916 | + | 29.4436i | −0.303779 | + | 1.49093i | ||||
\(391\) | 53.1887 | + | 9.37860i | 2.68987 | + | 0.474296i | ||||
\(392\) | 3.69596 | + | 5.94474i | 0.186674 | + | 0.300255i | ||||
\(393\) | 17.9464 | + | 15.8868i | 0.905274 | + | 0.801381i | ||||
\(394\) | −8.08298 | + | 6.78242i | −0.407215 | + | 0.341694i | ||||
\(395\) | −14.1719 | + | 24.5465i | −0.713067 | + | 1.23507i | ||||
\(396\) | −4.57797 | + | 2.32929i | −0.230052 | + | 0.117051i | ||||
\(397\) | 14.8355 | − | 8.56528i | 0.744572 | − | 0.429879i | −0.0791571 | − | 0.996862i | \(-0.525223\pi\) |
0.823729 | + | 0.566983i | \(0.191890\pi\) | |||||||
\(398\) | 6.40359 | + | 2.33072i | 0.320983 | + | 0.116828i | ||||
\(399\) | −7.00425 | + | 1.80081i | −0.350651 | + | 0.0901531i | ||||
\(400\) | 1.38322 | + | 1.16066i | 0.0691612 | + | 0.0580331i | ||||
\(401\) | −7.32564 | − | 20.1270i | −0.365825 | − | 1.00510i | −0.976932 | − | 0.213549i | \(-0.931498\pi\) |
0.611107 | − | 0.791548i | \(-0.290724\pi\) | |||||||
\(402\) | 18.1156 | − | 9.82922i | 0.903522 | − | 0.490237i | ||||
\(403\) | 1.01901 | + | 5.77909i | 0.0507605 | + | 0.287877i | ||||
\(404\) | −1.88842 | −0.0939525 | ||||||||
\(405\) | −6.49755 | + | 22.5619i | −0.322866 | + | 1.12111i | ||||
\(406\) | −4.30840 | + | 9.64735i | −0.213822 | + | 0.478790i | ||||
\(407\) | −8.67318 | + | 1.52932i | −0.429913 | + | 0.0758053i | ||||
\(408\) | −9.71895 | + | 5.27335i | −0.481160 | + | 0.261070i | ||||
\(409\) | −4.78260 | − | 13.1401i | −0.236484 | − | 0.649735i | −0.999992 | − | 0.00393670i | \(-0.998747\pi\) |
0.763508 | − | 0.645798i | \(-0.223475\pi\) | |||||||
\(410\) | −1.37418 | + | 1.63769i | −0.0678660 | + | 0.0808795i | ||||
\(411\) | −10.6854 | − | 13.4413i | −0.527071 | − | 0.663009i | ||||
\(412\) | −6.15797 | + | 16.9189i | −0.303381 | + | 0.833533i | ||||
\(413\) | 2.37213 | − | 0.246600i | 0.116725 | − | 0.0121344i | ||||
\(414\) | 25.3447 | + | 1.34284i | 1.24563 | + | 0.0659969i | ||||
\(415\) | 1.27941 | − | 2.21600i | 0.0628037 | − | 0.108779i | ||||
\(416\) | −5.09426 | + | 4.27459i | −0.249767 | + | 0.209579i | ||||
\(417\) | 6.73940 | − | 7.61311i | 0.330030 | − | 0.372816i | ||||
\(418\) | 2.66101 | + | 0.469209i | 0.130154 | + | 0.0229497i | ||||
\(419\) | 0.291638 | − | 1.65396i | 0.0142475 | − | 0.0808014i | −0.976855 | − | 0.213903i | \(-0.931382\pi\) |
0.991102 | + | 0.133101i | \(0.0424936\pi\) | |||||||
\(420\) | −9.72277 | − | 6.95606i | −0.474423 | − | 0.339421i | ||||
\(421\) | 22.7105 | − | 19.0564i | 1.10684 | − | 0.928752i | 0.108977 | − | 0.994044i | \(-0.465242\pi\) |
0.997866 | + | 0.0652923i | \(0.0207980\pi\) | |||||||
\(422\) | −0.253575 | − | 0.146401i | −0.0123438 | − | 0.00712671i | ||||
\(423\) | 16.8546 | − | 12.6857i | 0.819497 | − | 0.616799i | ||||
\(424\) | 3.37517 | + | 5.84597i | 0.163913 | + | 0.283906i | ||||
\(425\) | 10.8322 | + | 3.94260i | 0.525439 | + | 0.191244i | ||||
\(426\) | −0.795763 | − | 5.33504i | −0.0385549 | − | 0.258484i | ||||
\(427\) | 4.95991 | + | 10.1987i | 0.240027 | + | 0.493548i | ||||
\(428\) | −4.23632 | − | 11.6392i | −0.204770 | − | 0.562602i | ||||
\(429\) | −10.3091 | + | 16.8121i | −0.497728 | + | 0.811695i | ||||
\(430\) | 22.8743 | − | 4.03336i | 1.10310 | − | 0.194506i | ||||
\(431\) | 4.02188i | 0.193727i | 0.995298 | + | 0.0968635i | \(0.0308810\pi\) | ||||
−0.995298 | + | 0.0968635i | \(0.969119\pi\) | |||||||
\(432\) | −4.23286 | + | 3.01378i | −0.203654 | + | 0.145001i | ||||
\(433\) | − | 13.4318i | − | 0.645489i | −0.946486 | − | 0.322744i | \(-0.895395\pi\) | ||
0.946486 | − | 0.322744i | \(-0.104605\pi\) | |||||||
\(434\) | −2.26470 | − | 0.567383i | −0.108709 | − | 0.0272353i | ||||
\(435\) | 0.477523 | − | 18.0382i | 0.0228955 | − | 0.864864i | ||||
\(436\) | −4.87288 | + | 1.77358i | −0.233369 | + | 0.0849393i | ||||
\(437\) | −10.2278 | − | 8.58211i | −0.489260 | − | 0.410538i | ||||
\(438\) | −1.94981 | − | 0.768695i | −0.0931653 | − | 0.0367297i | ||||
\(439\) | −0.194851 | + | 0.535350i | −0.00929975 | + | 0.0255509i | −0.944256 | − | 0.329213i | \(-0.893217\pi\) |
0.934956 | + | 0.354764i | \(0.115439\pi\) | |||||||
\(440\) | 2.23331 | + | 3.86821i | 0.106469 | + | 0.184410i | ||||
\(441\) | 17.9697 | + | 10.8669i | 0.855700 | + | 0.517473i | ||||
\(442\) | −21.2271 | + | 36.7664i | −1.00967 | + | 1.74880i | ||||
\(443\) | 20.8026 | + | 24.7916i | 0.988360 | + | 1.17788i | 0.984050 | + | 0.177891i | \(0.0569276\pi\) |
0.00431031 | + | 0.999991i | \(0.498628\pi\) | |||||||
\(444\) | −8.44970 | + | 2.82454i | −0.401005 | + | 0.134047i | ||||
\(445\) | −1.25018 | + | 7.09011i | −0.0592641 | + | 0.336103i | ||||
\(446\) | 2.94934 | − | 16.7265i | 0.139655 | − | 0.792023i | ||||
\(447\) | 1.63283 | + | 4.88467i | 0.0772303 | + | 0.231037i | ||||
\(448\) | −0.726382 | − | 2.54409i | −0.0343183 | − | 0.120197i | ||||
\(449\) | 6.83982 | + | 3.94897i | 0.322791 | + | 0.186364i | 0.652636 | − | 0.757672i | \(-0.273663\pi\) |
−0.329845 | + | 0.944035i | \(0.606996\pi\) | |||||||
\(450\) | 5.27747 | + | 1.22159i | 0.248782 | + | 0.0575863i | ||||
\(451\) | −1.21511 | + | 0.701545i | −0.0572174 | + | 0.0330345i | ||||
\(452\) | −6.33459 | + | 17.4042i | −0.297954 | + | 0.818622i | ||||
\(453\) | −2.69030 | − | 1.06063i | −0.126401 | − | 0.0498326i | ||||
\(454\) | 17.0849 | − | 20.3610i | 0.801835 | − | 0.955590i | ||||
\(455\) | −45.7844 | − | 3.25376i | −2.14641 | − | 0.152539i | ||||
\(456\) | 2.73250 | + | 0.0723372i | 0.127961 | + | 0.00338750i | ||||
\(457\) | −4.40132 | − | 24.9611i | −0.205885 | − | 1.16763i | −0.896041 | − | 0.443971i | \(-0.853569\pi\) |
0.690156 | − | 0.723660i | \(-0.257542\pi\) | |||||||
\(458\) | −0.689098 | −0.0321994 | ||||||||
\(459\) | −18.8125 | + | 27.3219i | −0.878091 | + | 1.27528i | ||||
\(460\) | − | 22.0704i | − | 1.02904i | ||||||
\(461\) | −6.86447 | − | 38.9304i | −0.319710 | − | 1.81317i | −0.544500 | − | 0.838761i | \(-0.683281\pi\) |
0.224790 | − | 0.974407i | \(-0.427830\pi\) | |||||||
\(462\) | −4.43489 | − | 6.47249i | −0.206330 | − | 0.301127i | ||||
\(463\) | 9.30119 | − | 3.38536i | 0.432263 | − | 0.157331i | −0.116719 | − | 0.993165i | \(-0.537238\pi\) |
0.548982 | + | 0.835834i | \(0.315016\pi\) | |||||||
\(464\) | 2.56694 | − | 3.05916i | 0.119167 | − | 0.142018i | ||||
\(465\) | 3.94365 | − | 0.588227i | 0.182883 | − | 0.0272784i | ||||
\(466\) | 4.95461 | + | 1.80333i | 0.229518 | + | 0.0835376i | ||||
\(467\) | −12.3433 | − | 21.3792i | −0.571180 | − | 0.989313i | −0.996445 | − | 0.0842444i | \(-0.973152\pi\) |
0.425265 | − | 0.905069i | \(-0.360181\pi\) | |||||||
\(468\) | −7.80572 | + | 18.3598i | −0.360819 | + | 0.848684i | ||||
\(469\) | 18.4763 | + | 25.4911i | 0.853154 | + | 1.17707i | ||||
\(470\) | −11.7913 | − | 14.0524i | −0.543894 | − | 0.648188i | ||||
\(471\) | −12.7692 | − | 2.60175i | −0.588376 | − | 0.119882i | ||||
\(472\) | −0.887718 | − | 0.156529i | −0.0408605 | − | 0.00720481i | ||||
\(473\) | 15.0126 | + | 2.64713i | 0.690281 | + | 0.121715i | ||||
\(474\) | −12.4735 | + | 14.0906i | −0.572928 | + | 0.647204i | ||||
\(475\) | −1.83171 | − | 2.18295i | −0.0840447 | − | 0.100161i | ||||
\(476\) | −9.91246 | − | 13.6759i | −0.454337 | − | 0.626835i | ||||
\(477\) | 16.9776 | + | 11.0392i | 0.777352 | + | 0.505452i | ||||
\(478\) | −11.2744 | − | 19.5279i | −0.515680 | − | 0.893184i | ||||
\(479\) | −3.12136 | − | 1.13608i | −0.142619 | − | 0.0519090i | 0.269725 | − | 0.962938i | \(-0.413067\pi\) |
−0.412343 | + | 0.911029i | \(0.635290\pi\) | |||||||
\(480\) | 2.81183 | + | 3.53704i | 0.128342 | + | 0.161443i | ||||
\(481\) | −21.9876 | + | 26.2038i | −1.00255 | + | 1.19479i | ||||
\(482\) | 21.9682 | − | 7.99576i | 1.00062 | − | 0.364197i | ||||
\(483\) | 2.98685 | + | 38.6538i | 0.135906 | + | 1.75881i | ||||
\(484\) | −1.40108 | − | 7.94593i | −0.0636855 | − | 0.361179i | ||||
\(485\) | 47.8857i | 2.17438i | ||||||||
\(486\) | −7.21777 | + | 13.8168i | −0.327405 | + | 0.626743i | ||||
\(487\) | −27.7371 | −1.25689 | −0.628445 | − | 0.777854i | \(-0.716308\pi\) | ||||
−0.628445 | + | 0.777854i | \(0.716308\pi\) | |||||||
\(488\) | −0.744328 | − | 4.22130i | −0.0336942 | − | 0.191089i | ||||
\(489\) | −5.86767 | − | 10.8143i | −0.265345 | − | 0.489040i | ||||
\(490\) | 8.60976 | − | 16.1043i | 0.388949 | − | 0.727520i | ||||
\(491\) | 6.47307 | − | 7.71430i | 0.292125 | − | 0.348142i | −0.599942 | − | 0.800043i | \(-0.704810\pi\) |
0.892068 | + | 0.451902i | \(0.149254\pi\) | |||||||
\(492\) | −1.11108 | + | 0.883273i | −0.0500913 | + | 0.0398210i | ||||
\(493\) | 8.71953 | − | 23.9567i | 0.392708 | − | 1.07896i | ||||
\(494\) | 9.08886 | − | 5.24745i | 0.408927 | − | 0.236094i | ||||
\(495\) | 11.2339 | + | 7.30454i | 0.504926 | + | 0.328315i | ||||
\(496\) | 0.764208 | + | 0.441216i | 0.0343140 | + | 0.0198112i | ||||
\(497\) | 7.92295 | − | 2.26215i | 0.355393 | − | 0.101471i | ||||
\(498\) | 1.12608 | − | 1.27207i | 0.0504609 | − | 0.0570027i | ||||
\(499\) | 2.56761 | − | 14.5616i | 0.114942 | − | 0.651868i | −0.871837 | − | 0.489796i | \(-0.837071\pi\) |
0.986779 | − | 0.162072i | \(-0.0518176\pi\) | |||||||
\(500\) | −1.44706 | + | 8.20667i | −0.0647143 | + | 0.367013i | ||||
\(501\) | −4.10628 | + | 20.1534i | −0.183455 | + | 0.900389i | ||||
\(502\) | 11.7509 | + | 14.0042i | 0.524469 | + | 0.625037i | ||||
\(503\) | −4.12896 | + | 7.15158i | −0.184101 | + | 0.318873i | −0.943273 | − | 0.332017i | \(-0.892271\pi\) |
0.759172 | + | 0.650890i | \(0.225604\pi\) | |||||||
\(504\) | −5.40327 | − | 5.81418i | −0.240681 | − | 0.258984i | ||||
\(505\) | 2.46323 | + | 4.26643i | 0.109612 | + | 0.189854i | ||||
\(506\) | 4.95417 | − | 13.6115i | 0.220240 | − | 0.605104i | ||||
\(507\) | 7.97833 | + | 53.4892i | 0.354330 | + | 2.37554i | ||||
\(508\) | 1.76237 | + | 1.47880i | 0.0781924 | + | 0.0656112i | ||||
\(509\) | 22.9263 | − | 8.34449i | 1.01619 | − | 0.369863i | 0.220383 | − | 0.975413i | \(-0.429269\pi\) |
0.795807 | + | 0.605551i | \(0.207047\pi\) | |||||||
\(510\) | 24.5911 | + | 15.0792i | 1.08891 | + | 0.667716i | ||||
\(511\) | 0.778032 | − | 3.10550i | 0.0344181 | − | 0.137379i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 7.40457 | − | 3.52398i | 0.326920 | − | 0.155588i | ||||
\(514\) | 0.973454i | 0.0429372i | ||||||||
\(515\) | 46.2565 | − | 8.15626i | 2.03830 | − | 0.359408i | ||||
\(516\) | 15.4159 | + | 0.408104i | 0.678648 | + | 0.0179658i | ||||
\(517\) | −4.11771 | − | 11.3133i | −0.181097 | − | 0.497560i | ||||
\(518\) | −5.95198 | − | 12.2386i | −0.261515 | − | 0.537733i | ||||
\(519\) | 8.91599 | + | 3.51506i | 0.391368 | + | 0.154294i | ||||
\(520\) | 16.3023 | + | 5.93355i | 0.714903 | + | 0.260203i | ||||
\(521\) | −14.6429 | − | 25.3623i | −0.641518 | − | 1.11114i | −0.985094 | − | 0.172017i | \(-0.944971\pi\) |
0.343575 | − | 0.939125i | \(-0.388362\pi\) | |||||||
\(522\) | 2.70169 | − | 11.6718i | 0.118250 | − | 0.510859i | ||||
\(523\) | −24.7419 | − | 14.2847i | −1.08189 | − | 0.624628i | −0.150482 | − | 0.988613i | \(-0.548083\pi\) |
−0.931405 | + | 0.363985i | \(0.881416\pi\) | |||||||
\(524\) | 10.6004 | − | 8.89482i | 0.463082 | − | 0.388572i | ||||
\(525\) | −0.804793 | + | 8.23539i | −0.0351240 | + | 0.359422i | ||||
\(526\) | −3.80930 | + | 21.6036i | −0.166093 | + | 0.941963i | ||||
\(527\) | 5.54785 | + | 0.978236i | 0.241668 | + | 0.0426126i | ||||
\(528\) | 0.940176 | + | 2.81257i | 0.0409159 | + | 0.122401i | ||||
\(529\) | −37.2092 | + | 31.2222i | −1.61779 | + | 1.35749i | ||||
\(530\) | 8.80504 | − | 15.2508i | 0.382467 | − | 0.662452i | ||||
\(531\) | −2.58653 | + | 0.789159i | −0.112246 | + | 0.0342466i | ||||
\(532\) | 0.431739 | + | 4.15304i | 0.0187183 | + | 0.180057i | ||||
\(533\) | −1.86389 | + | 5.12099i | −0.0807340 | + | 0.221815i | ||||
\(534\) | −1.75315 | + | 4.44688i | −0.0758661 | + | 0.192435i | ||||
\(535\) | −20.7702 | + | 24.7529i | −0.897973 | + | 1.07016i | ||||
\(536\) | −4.06984 | − | 11.1818i | −0.175790 | − | 0.482979i | ||||
\(537\) | −0.867604 | + | 32.7733i | −0.0374399 | + | 1.41427i | ||||
\(538\) | −10.8937 | + | 1.92085i | −0.469661 | + | 0.0828139i | ||||
\(539\) | 8.92485 | − | 7.99938i | 0.384421 | − | 0.344558i | ||||
\(540\) | 12.3302 | + | 5.63201i | 0.530607 | + | 0.242363i | ||||
\(541\) | 26.0907 | 1.12173 | 0.560864 | − | 0.827908i | \(-0.310469\pi\) | ||||
0.560864 | + | 0.827908i | \(0.310469\pi\) | |||||||
\(542\) | 1.02006 | + | 5.78505i | 0.0438154 | + | 0.248489i | ||||
\(543\) | −19.1327 | − | 11.7321i | −0.821062 | − | 0.503472i | ||||
\(544\) | 2.18346 | + | 5.99900i | 0.0936149 | + | 0.257205i | ||||
\(545\) | 10.3631 | + | 8.69567i | 0.443906 | + | 0.372482i | ||||
\(546\) | −29.3546 | − | 8.18569i | −1.25626 | − | 0.350315i | ||||
\(547\) | −40.8376 | − | 14.8637i | −1.74609 | − | 0.635525i | −0.746536 | − | 0.665345i | \(-0.768284\pi\) |
−0.999555 | + | 0.0298202i | \(0.990507\pi\) | |||||||
\(548\) | −8.58553 | + | 4.95686i | −0.366756 | + | 0.211746i | ||||
\(549\) | −7.73300 | − | 10.2743i | −0.330036 | − | 0.438496i | ||||
\(550\) | 1.54580 | − | 2.67740i | 0.0659130 | − | 0.114165i | ||||
\(551\) | −4.82785 | + | 4.05105i | −0.205673 | + | 0.172581i | ||||
\(552\) | 2.92552 | − | 14.3583i | 0.124518 | − | 0.611130i | ||||
\(553\) | −23.8130 | − | 16.1014i | −1.01263 | − | 0.684701i | ||||
\(554\) | −10.4511 | − | 1.84281i | −0.444024 | − | 0.0782933i | ||||
\(555\) | 17.4030 | + | 15.4058i | 0.738717 | + | 0.653939i | ||||
\(556\) | −3.77331 | − | 4.49686i | −0.160024 | − | 0.190709i | ||||
\(557\) | −2.66929 | − | 1.54111i | −0.113101 | − | 0.0652990i | 0.442382 | − | 0.896827i | \(-0.354133\pi\) |
−0.555483 | + | 0.831528i | \(0.687467\pi\) | |||||||
\(558\) | 2.64359 | + | 0.140065i | 0.111912 | + | 0.00592942i | ||||
\(559\) | 51.2765 | − | 29.6045i | 2.16877 | − | 1.25214i | ||||
\(560\) | −4.80027 | + | 4.95955i | −0.202848 | + | 0.209579i | ||||
\(561\) | 11.7812 | + | 14.8198i | 0.497404 | + | 0.625691i | ||||
\(562\) | 1.12173 | + | 0.941246i | 0.0473175 | + | 0.0397041i | ||||
\(563\) | −7.80618 | + | 2.84122i | −0.328991 | + | 0.119743i | −0.501235 | − | 0.865311i | \(-0.667121\pi\) |
0.172243 | + | 0.985054i | \(0.444898\pi\) | |||||||
\(564\) | −5.80837 | − | 10.7050i | −0.244577 | − | 0.450762i | ||||
\(565\) | 47.5832 | − | 8.39021i | 2.00184 | − | 0.352979i | ||||
\(566\) | −5.71980 | −0.240421 | ||||||||
\(567\) | −22.3571 | − | 8.19513i | −0.938910 | − | 0.344163i | ||||
\(568\) | −3.11426 | −0.130672 | ||||||||
\(569\) | −14.6123 | + | 2.57654i | −0.612579 | + | 0.108014i | −0.471326 | − | 0.881959i | \(-0.656224\pi\) |
−0.141253 | + | 0.989973i | \(0.545113\pi\) | |||||||
\(570\) | −3.40080 | − | 6.26778i | −0.142444 | − | 0.262528i | ||||
\(571\) | 18.9116 | − | 6.88326i | 0.791425 | − | 0.288055i | 0.0854969 | − | 0.996338i | \(-0.472752\pi\) |
0.705928 | + | 0.708283i | \(0.250530\pi\) | |||||||
\(572\) | 8.72219 | + | 7.31879i | 0.364693 | + | 0.306014i | ||||
\(573\) | 1.32772 | + | 1.67015i | 0.0554663 | + | 0.0697717i | ||||
\(574\) | −1.55793 | − | 1.50789i | −0.0650267 | − | 0.0629383i | ||||
\(575\) | −13.2295 | + | 7.63806i | −0.551709 | + | 0.318529i | ||||
\(576\) | 1.36044 | + | 2.67380i | 0.0566849 | + | 0.111408i | ||||
\(577\) | 13.3663 | + | 7.71706i | 0.556448 | + | 0.321265i | 0.751719 | − | 0.659484i | \(-0.229225\pi\) |
−0.195271 | + | 0.980749i | \(0.562558\pi\) | |||||||
\(578\) | 15.2697 | + | 18.1977i | 0.635135 | + | 0.756925i | ||||
\(579\) | −34.0503 | − | 30.1426i | −1.41508 | − | 1.25268i | ||||
\(580\) | −10.2597 | − | 1.80907i | −0.426012 | − | 0.0751174i | ||||
\(581\) | 2.14978 | + | 1.45360i | 0.0891880 | + | 0.0603054i | ||||
\(582\) | −6.34743 | + | 31.1529i | −0.263109 | + | 1.29133i | ||||
\(583\) | 8.85369 | − | 7.42913i | 0.366682 | − | 0.307683i | ||||
\(584\) | −0.605023 | + | 1.04793i | −0.0250360 | + | 0.0433637i | ||||
\(585\) | 51.6613 | − | 6.31313i | 2.13593 | − | 0.261016i | ||||
\(586\) | 18.3673 | − | 10.6044i | 0.758745 | − | 0.438062i | ||||
\(587\) | −21.2817 | − | 7.74592i | −0.878391 | − | 0.319708i | −0.136831 | − | 0.990594i | \(-0.543692\pi\) |
−0.741560 | + | 0.670886i | \(0.765914\pi\) | |||||||
\(588\) | 7.73592 | − | 9.33571i | 0.319024 | − | 0.384998i | ||||
\(589\) | −1.06681 | − | 0.895158i | −0.0439571 | − | 0.0368844i | ||||
\(590\) | 0.804286 | + | 2.20976i | 0.0331119 | + | 0.0909743i | ||||
\(591\) | 15.5800 | + | 9.55359i | 0.640876 | + | 0.392982i | ||||
\(592\) | 0.893208 | + | 5.06563i | 0.0367106 | + | 0.208196i | ||||
\(593\) | −3.92178 | −0.161048 | −0.0805242 | − | 0.996753i | \(-0.525659\pi\) | ||||
−0.0805242 | + | 0.996753i | \(0.525659\pi\) | |||||||
\(594\) | 6.34017 | + | 6.24120i | 0.260140 | + | 0.256079i | ||||
\(595\) | −17.9678 | + | 40.2335i | −0.736609 | + | 1.64941i | ||||
\(596\) | 2.92838 | − | 0.516353i | 0.119951 | − | 0.0211506i | ||||
\(597\) | 0.312355 | − | 11.7990i | 0.0127838 | − | 0.482902i | ||||
\(598\) | −19.2422 | − | 52.8674i | −0.786871 | − | 2.16191i | ||||
\(599\) | −6.18718 | + | 7.37360i | −0.252802 | + | 0.301277i | −0.877488 | − | 0.479599i | \(-0.840782\pi\) |
0.624687 | + | 0.780876i | \(0.285227\pi\) | |||||||
\(600\) | 1.14707 | − | 2.90956i | 0.0468290 | − | 0.118782i | ||||
\(601\) | −2.98399 | + | 8.19846i | −0.121720 | + | 0.334422i | −0.985556 | − | 0.169351i | \(-0.945833\pi\) |
0.863836 | + | 0.503773i | \(0.168055\pi\) | |||||||
\(602\) | 2.43574 | + | 23.4302i | 0.0992733 | + | 0.954943i | ||||
\(603\) | −26.0940 | − | 24.3611i | −1.06263 | − | 0.992060i | ||||
\(604\) | −0.834797 | + | 1.44591i | −0.0339674 | + | 0.0588333i | ||||
\(605\) | −16.1244 | + | 13.5299i | −0.655549 | + | 0.550071i | ||||
\(606\) | 1.03696 | + | 3.10211i | 0.0421238 | + | 0.126015i | ||||
\(607\) | 20.4674 | + | 3.60895i | 0.830745 | + | 0.146483i | 0.572819 | − | 0.819682i | \(-0.305850\pi\) |
0.257926 | + | 0.966165i | \(0.416961\pi\) | |||||||
\(608\) | 0.274045 | − | 1.55419i | 0.0111140 | − | 0.0630305i | ||||
\(609\) | 18.2135 | + | 1.77989i | 0.738050 | + | 0.0721250i | ||||
\(610\) | −8.56611 | + | 7.18782i | −0.346832 | + | 0.291026i | ||||
\(611\) | −40.4966 | − | 23.3807i | −1.63832 | − | 0.945882i | ||||
\(612\) | 13.9994 | + | 13.0697i | 0.565892 | + | 0.528310i | ||||
\(613\) | 14.4313 | + | 24.9958i | 0.582875 | + | 1.00957i | 0.995137 | + | 0.0985035i | \(0.0314056\pi\) |
−0.412262 | + | 0.911065i | \(0.635261\pi\) | |||||||
\(614\) | −10.1985 | − | 3.71195i | −0.411578 | − | 0.149802i | ||||
\(615\) | 3.44482 | + | 1.35809i | 0.138908 | + | 0.0547635i | ||||
\(616\) | −4.07374 | + | 1.98118i | −0.164136 | + | 0.0798240i | ||||
\(617\) | −5.76580 | − | 15.8414i | −0.232122 | − | 0.637751i | 0.767874 | − | 0.640601i | \(-0.221315\pi\) |
−0.999996 | + | 0.00285055i | \(0.999093\pi\) | |||||||
\(618\) | 31.1741 | + | 0.825269i | 1.25401 | + | 0.0331972i | ||||
\(619\) | 11.3516 | − | 2.00160i | 0.456261 | − | 0.0804511i | 0.0592057 | − | 0.998246i | \(-0.481143\pi\) |
0.397055 | + | 0.917795i | \(0.370032\pi\) | |||||||
\(620\) | − | 2.30206i | − | 0.0924529i | ||||||
\(621\) | −11.7113 | − | 42.3712i | −0.469959 | − | 1.70030i | ||||
\(622\) | − | 5.97204i | − | 0.239457i | ||||||
\(623\) | −7.08266 | − | 1.77444i | −0.283761 | − | 0.0710915i | ||||
\(624\) | 9.81923 | + | 6.02110i | 0.393084 | + | 0.241037i | ||||
\(625\) | 28.9124 | − | 10.5232i | 1.15649 | − | 0.420930i | ||||
\(626\) | −2.92517 | − | 2.45451i | −0.116913 | − | 0.0981019i | ||||
\(627\) | −0.690437 | − | 4.62890i | −0.0275734 | − | 0.184861i | ||||
\(628\) | −2.57329 | + | 7.07006i | −0.102685 | + | 0.282126i | ||||
\(629\) | 16.4189 | + | 28.4384i | 0.654666 | + | 1.13391i | ||||
\(630\) | −6.08779 | + | 19.7913i | −0.242544 | + | 0.788505i | ||||
\(631\) | 11.5880 | − | 20.0711i | 0.461313 | − | 0.799017i | −0.537714 | − | 0.843127i | \(-0.680712\pi\) |
0.999027 | + | 0.0441100i | \(0.0140452\pi\) | |||||||
\(632\) | 6.98379 | + | 8.32295i | 0.277800 | + | 0.331069i | ||||
\(633\) | −0.101252 | + | 0.496939i | −0.00402440 | + | 0.0197516i | ||||
\(634\) | 3.09800 | − | 17.5696i | 0.123037 | − | 0.697779i | ||||
\(635\) | 1.04219 | − | 5.91057i | 0.0413582 | − | 0.234554i | ||||
\(636\) | 7.74983 | − | 8.75453i | 0.307301 | − | 0.347140i | ||||
\(637\) | 6.58317 | − | 46.0828i | 0.260835 | − | 1.82587i | ||||
\(638\) | −5.92139 | − | 3.41872i | −0.234430 | − | 0.135348i | ||||
\(639\) | −8.32692 | + | 4.23676i | −0.329408 | + | 0.167604i | ||||
\(640\) | 2.25926 | − | 1.30438i | 0.0893051 | − | 0.0515603i | ||||
\(641\) | −5.63020 | + | 15.4689i | −0.222380 | + | 0.610983i | −0.999839 | − | 0.0179503i | \(-0.994286\pi\) |
0.777459 | + | 0.628933i | \(0.216508\pi\) | |||||||
\(642\) | −16.7935 | + | 13.3503i | −0.662786 | + | 0.526894i | ||||
\(643\) | 20.4845 | − | 24.4125i | 0.807832 | − | 0.962736i | −0.191994 | − | 0.981396i | \(-0.561496\pi\) |
0.999826 | + | 0.0186599i | \(0.00593997\pi\) | |||||||
\(644\) | 22.3270 | + | 1.58671i | 0.879806 | + | 0.0625252i | ||||
\(645\) | −19.1863 | − | 35.3609i | −0.755458 | − | 1.39233i | ||||
\(646\) | −1.74950 | − | 9.92192i | −0.0688332 | − | 0.390373i | ||||
\(647\) | 18.2647 | 0.718060 | 0.359030 | − | 0.933326i | \(-0.383108\pi\) | ||||
0.359030 | + | 0.933326i | \(0.383108\pi\) | |||||||
\(648\) | 7.27508 | + | 5.29842i | 0.285792 | + | 0.208141i | ||||
\(649\) | 1.54336i | 0.0605823i | ||||||||
\(650\) | −2.08514 | − | 11.8254i | −0.0817860 | − | 0.463832i | ||||
\(651\) | 0.311544 | + | 4.03179i | 0.0122104 | + | 0.158018i | ||||
\(652\) | −6.67510 | + | 2.42954i | −0.261417 | + | 0.0951480i | ||||
\(653\) | 8.08178 | − | 9.63149i | 0.316264 | − | 0.376909i | −0.584370 | − | 0.811488i | \(-0.698658\pi\) |
0.900634 | + | 0.434578i | \(0.143103\pi\) | |||||||
\(654\) | 5.58925 | + | 7.03079i | 0.218557 | + | 0.274926i | ||||
\(655\) | −33.9227 | − | 12.3469i | −1.32547 | − | 0.482432i | ||||
\(656\) | 0.409743 | + | 0.709695i | 0.0159978 | + | 0.0277089i | ||||
\(657\) | −0.192066 | + | 3.62505i | −0.00749321 | + | 0.141427i | ||||
\(658\) | 15.0634 | − | 10.9181i | 0.587234 | − | 0.425634i | ||||
\(659\) | 11.1909 | + | 13.3368i | 0.435935 | + | 0.519527i | 0.938625 | − | 0.344940i | \(-0.112101\pi\) |
−0.502690 | + | 0.864467i | \(0.667656\pi\) | |||||||
\(660\) | 5.12797 | − | 5.79277i | 0.199606 | − | 0.225483i | ||||
\(661\) | 17.2877 | + | 3.04829i | 0.672413 | + | 0.118565i | 0.499422 | − | 0.866359i | \(-0.333546\pi\) |
0.172991 | + | 0.984923i | \(0.444657\pi\) | |||||||
\(662\) | −20.5923 | − | 3.63098i | −0.800343 | − | 0.141122i | ||||
\(663\) | 72.0523 | + | 14.6807i | 2.79828 | + | 0.570152i | ||||
\(664\) | −0.630480 | − | 0.751377i | −0.0244674 | − | 0.0291591i | ||||
\(665\) | 8.81964 | − | 6.39257i | 0.342011 | − | 0.247893i | ||||
\(666\) | 9.27974 | + | 12.3293i | 0.359583 | + | 0.477752i | ||||
\(667\) | 16.8925 | + | 29.2587i | 0.654080 | + | 1.13290i | ||||
\(668\) | 11.1585 | + | 4.06137i | 0.431737 | + | 0.157139i | ||||
\(669\) | −29.0962 | + | 4.33993i | −1.12492 | + | 0.167791i | ||||
\(670\) | −19.9539 | + | 23.7801i | −0.770887 | + | 0.918707i | ||||
\(671\) | −6.89643 | + | 2.51010i | −0.266234 | + | 0.0969012i | ||||
\(672\) | −3.78031 | + | 2.59023i | −0.145828 | + | 0.0999203i | ||||
\(673\) | 5.35143 | + | 30.3495i | 0.206283 | + | 1.16989i | 0.895409 | + | 0.445245i | \(0.146883\pi\) |
−0.689126 | + | 0.724641i | \(0.742005\pi\) | |||||||
\(674\) | 25.5636i | 0.984673i | ||||||||
\(675\) | −0.891241 | − | 9.34011i | −0.0343039 | − | 0.359501i | ||||
\(676\) | 31.2236 | 1.20091 | ||||||||
\(677\) | 3.20150 | + | 18.1566i | 0.123044 | + | 0.697814i | 0.982451 | + | 0.186523i | \(0.0597218\pi\) |
−0.859407 | + | 0.511292i | \(0.829167\pi\) | |||||||
\(678\) | 32.0683 | + | 0.848940i | 1.23157 | + | 0.0326033i | ||||
\(679\) | −48.4424 | − | 3.44265i | −1.85905 | − | 0.132117i | ||||
\(680\) | 10.7052 | − | 12.7580i | 0.410526 | − | 0.489246i | ||||
\(681\) | −42.8287 | − | 16.8849i | −1.64120 | − | 0.647030i | ||||
\(682\) | 0.516746 | − | 1.41975i | 0.0197872 | − | 0.0543649i | ||||
\(683\) | −3.63658 | + | 2.09958i | −0.139150 | + | 0.0803382i | −0.567959 | − | 0.823057i | \(-0.692267\pi\) |
0.428809 | + | 0.903395i | \(0.358933\pi\) | |||||||
\(684\) | −1.38163 | − | 4.52840i | −0.0528280 | − | 0.173148i | ||||
\(685\) | 22.3976 | + | 12.9313i | 0.855770 | + | 0.494079i | ||||
\(686\) | 15.6726 | + | 9.86764i | 0.598382 | + | 0.376748i | ||||
\(687\) | 0.378395 | + | 1.13198i | 0.0144367 | + | 0.0431878i | ||||
\(688\) | 1.54608 | − | 8.76824i | 0.0589436 | − | 0.334286i | ||||
\(689\) | 7.79513 | − | 44.2084i | 0.296971 | − | 1.68421i | ||||
\(690\) | −36.2551 | + | 12.1192i | −1.38021 | + | 0.461371i | ||||
\(691\) | 7.54937 | + | 8.99699i | 0.287192 | + | 0.342262i | 0.890281 | − | 0.455412i | \(-0.150508\pi\) |
−0.603089 | + | 0.797674i | \(0.706064\pi\) | |||||||
\(692\) | 2.76662 | − | 4.79193i | 0.105171 | − | 0.182162i | ||||
\(693\) | −8.19710 | + | 10.8394i | −0.311382 | + | 0.411753i | ||||
\(694\) | −2.70177 | − | 4.67961i | −0.102558 | − | 0.177635i | ||||
\(695\) | −5.23772 | + | 14.3905i | −0.198678 | + | 0.545864i | ||||
\(696\) | −6.43485 | − | 2.53688i | −0.243912 | − | 0.0961604i | ||||
\(697\) | 4.00763 | + | 3.36280i | 0.151800 | + | 0.127375i | ||||
\(698\) | 12.6398 | − | 4.60051i | 0.478423 | − | 0.174132i | ||||
\(699\) | 0.241676 | − | 9.12918i | 0.00914102 | − | 0.345297i | ||||
\(700\) | 4.63413 | + | 1.16100i | 0.175154 | + | 0.0438818i | ||||
\(701\) | 18.0424i | 0.681453i | 0.940162 | + | 0.340726i | \(0.110673\pi\) | ||||
−0.940162 | + | 0.340726i | \(0.889327\pi\) | |||||||
\(702\) | 34.4460 | + | 2.74078i | 1.30008 | + | 0.103444i | ||||
\(703\) | − | 8.11772i | − | 0.306165i | ||||||
\(704\) | 1.68615 | − | 0.297313i | 0.0635491 | − | 0.0112054i | ||||
\(705\) | −16.6090 | + | 27.0861i | −0.625533 | + | 1.02012i | ||||
\(706\) | 3.00674 | + | 8.26095i | 0.113160 | + | 0.310905i | ||||
\(707\) | −4.49312 | + | 2.18514i | −0.168981 | + | 0.0821805i | ||||
\(708\) | 0.230331 | + | 1.54421i | 0.00865636 | + | 0.0580349i | ||||
\(709\) | −24.2443 | − | 8.82421i | −0.910514 | − | 0.331400i | −0.156056 | − | 0.987748i | \(-0.549878\pi\) |
−0.754458 | + | 0.656348i | \(0.772100\pi\) | |||||||
\(710\) | 4.06220 | + | 7.03593i | 0.152451 | + | 0.264054i | ||||
\(711\) | 29.9961 | + | 12.7529i | 1.12494 | + | 0.478271i | ||||
\(712\) | 2.38999 | + | 1.37986i | 0.0895688 | + | 0.0517126i | ||||
\(713\) | −5.71887 | + | 4.79870i | −0.214173 | + | 0.179713i | ||||
\(714\) | −17.0224 | + | 23.7929i | −0.637047 | + | 0.890427i | ||||
\(715\) | 5.15795 | − | 29.2522i | 0.192896 | − | 1.09397i | ||||
\(716\) | 18.6407 | + | 3.28686i | 0.696637 | + | 0.122836i | ||||
\(717\) | −25.8875 | + | 29.2436i | −0.966786 | + | 1.09212i | ||||
\(718\) | 20.7822 | − | 17.4383i | 0.775585 | − | 0.650793i | ||||
\(719\) | −17.8367 | + | 30.8941i | −0.665198 | + | 1.15216i | 0.314034 | + | 0.949412i | \(0.398319\pi\) |
−0.979232 | + | 0.202744i | \(0.935014\pi\) | |||||||
\(720\) | 4.26627 | − | 6.56124i | 0.158995 | − | 0.244523i | ||||
\(721\) | 4.92556 | + | 47.3806i | 0.183437 | + | 1.76455i | ||||
\(722\) | 5.64655 | − | 15.5138i | 0.210143 | − | 0.577363i | ||||
\(723\) | −25.1977 | − | 31.6966i | −0.937114 | − | 1.17881i | ||||
\(724\) | −8.32901 | + | 9.92613i | −0.309545 | + | 0.368902i | ||||
\(725\) | 2.46626 | + | 6.77599i | 0.0915945 | + | 0.251654i | ||||
\(726\) | −12.2834 | + | 6.66480i | −0.455881 | + | 0.247354i | ||||
\(727\) | −17.0647 | + | 3.00897i | −0.632895 | + | 0.111596i | −0.480886 | − | 0.876783i | \(-0.659685\pi\) |
−0.152008 | + | 0.988379i | \(0.548574\pi\) | |||||||
\(728\) | −7.17455 | + | 16.0652i | −0.265906 | + | 0.595417i | ||||
\(729\) | 26.6603 | + | 4.26961i | 0.987418 | + | 0.158134i | ||||
\(730\) | 3.15673 | 0.116836 | ||||||||
\(731\) | −9.87015 | − | 55.9764i | −0.365061 | − | 2.07036i | ||||
\(732\) | −6.52561 | + | 3.54069i | −0.241194 | + | 0.130868i | ||||
\(733\) | −1.69293 | − | 4.65129i | −0.0625298 | − | 0.171799i | 0.904493 | − | 0.426488i | \(-0.140249\pi\) |
−0.967023 | + | 0.254689i | \(0.918027\pi\) | |||||||
\(734\) | −16.7696 | − | 14.0714i | −0.618979 | − | 0.519385i | ||||
\(735\) | −31.1824 | − | 5.30011i | −1.15018 | − | 0.195497i | ||||
\(736\) | −7.94988 | − | 2.89352i | −0.293037 | − | 0.106657i | ||||
\(737\) | −17.6441 | + | 10.1868i | −0.649930 | + | 0.375237i | ||||
\(738\) | 2.06107 | + | 1.34015i | 0.0758689 | + | 0.0493317i | ||||
\(739\) | 10.0817 | − | 17.4621i | 0.370863 | − | 0.642353i | −0.618836 | − | 0.785520i | \(-0.712395\pi\) |
0.989699 | + | 0.143167i | \(0.0457287\pi\) | |||||||
\(740\) | 10.2795 | − | 8.62552i | 0.377882 | − | 0.317080i | ||||
\(741\) | −13.6108 | − | 12.0488i | −0.500007 | − | 0.442625i | ||||
\(742\) | 14.7951 | + | 10.0038i | 0.543144 | + | 0.367252i | ||||
\(743\) | 11.0456 | + | 1.94764i | 0.405224 | + | 0.0714519i | 0.372545 | − | 0.928014i | \(-0.378485\pi\) |
0.0326787 | + | 0.999466i | \(0.489596\pi\) | |||||||
\(744\) | 0.305147 | − | 1.49765i | 0.0111872 | − | 0.0549063i | ||||
\(745\) | −4.98631 | − | 5.94246i | −0.182684 | − | 0.217715i | ||||
\(746\) | −4.11363 | − | 2.37500i | −0.150611 | − | 0.0869551i | ||||
\(747\) | −2.70798 | − | 1.15130i | −0.0990798 | − | 0.0421240i | ||||
\(748\) | 9.46603 | − | 5.46521i | 0.346112 | − | 0.199828i | ||||
\(749\) | −23.5475 | − | 22.7912i | −0.860405 | − | 0.832772i | ||||
\(750\) | 14.2757 | − | 2.12933i | 0.521275 | − | 0.0777523i | ||||
\(751\) | −1.24071 | − | 1.04108i | −0.0452740 | − | 0.0379894i | 0.619870 | − | 0.784705i | \(-0.287185\pi\) |
−0.665144 | + | 0.746715i | \(0.731630\pi\) | |||||||
\(752\) | −6.60763 | + | 2.40498i | −0.240956 | + | 0.0877007i | ||||
\(753\) | 16.5521 | − | 26.9932i | 0.603192 | − | 0.983686i | ||||
\(754\) | −26.1534 | + | 4.61154i | −0.952449 | + | 0.167942i | ||||
\(755\) | 4.35558 | 0.158516 | ||||||||
\(756\) | −6.58394 | + | 12.0686i | −0.239455 | + | 0.438932i | ||||
\(757\) | 25.8070 | 0.937972 | 0.468986 | − | 0.883206i | \(-0.344619\pi\) | ||||
0.468986 | + | 0.883206i | \(0.344619\pi\) | |||||||
\(758\) | −24.6695 | + | 4.34990i | −0.896036 | + | 0.157995i | ||||
\(759\) | −25.0800 | − | 0.663941i | −0.910347 | − | 0.0240995i | ||||
\(760\) | −3.86877 | + | 1.40812i | −0.140335 | + | 0.0510777i | ||||
\(761\) | −28.5821 | − | 23.9832i | −1.03610 | − | 0.869391i | −0.0445359 | − | 0.999008i | \(-0.514181\pi\) |
−0.991564 | + | 0.129617i | \(0.958625\pi\) | |||||||
\(762\) | 1.46149 | − | 3.70708i | 0.0529441 | − | 0.134293i | ||||
\(763\) | −9.54180 | + | 9.85841i | −0.345436 | + | 0.356899i | ||||
\(764\) | 1.06680 | − | 0.615918i | 0.0385955 | − | 0.0222831i | ||||
\(765\) | 11.2672 | − | 48.6761i | 0.407365 | − | 1.75989i | ||||
\(766\) | 9.13403 | + | 5.27353i | 0.330026 | + | 0.190540i | ||||
\(767\) | 3.85317 | + | 4.59203i | 0.139130 | + | 0.165809i | ||||
\(768\) | 1.64270 | − | 0.549117i | 0.0592759 | − | 0.0198145i | ||||
\(769\) | 24.6590 | + | 4.34804i | 0.889226 | + | 0.156795i | 0.599557 | − | 0.800332i | \(-0.295344\pi\) |
0.289669 | + | 0.957127i | \(0.406455\pi\) | |||||||