Newspace parameters
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 441.4 |
Dual form | 441.2.z.a.331.3 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.192530 | + | 2.56913i | −0.136139 | + | 1.81665i | 0.343468 | + | 0.939164i | \(0.388398\pi\) |
−0.479607 | + | 0.877484i | \(0.659221\pi\) | |||||||
\(3\) | 1.55341 | − | 0.766101i | 0.896863 | − | 0.442309i | ||||
\(4\) | −4.58569 | − | 0.691182i | −2.29285 | − | 0.345591i | ||||
\(5\) | −0.144697 | + | 0.633958i | −0.0647103 | + | 0.283514i | −0.996922 | − | 0.0783989i | \(-0.975019\pi\) |
0.932212 | + | 0.361913i | \(0.117876\pi\) | |||||||
\(6\) | 1.66913 | + | 4.13841i | 0.681421 | + | 1.68950i | ||||
\(7\) | −1.19412 | + | 2.36095i | −0.451336 | + | 0.892354i | ||||
\(8\) | 1.51204 | − | 6.62468i | 0.534587 | − | 2.34218i | ||||
\(9\) | 1.82618 | − | 2.38014i | 0.608726 | − | 0.793380i | ||||
\(10\) | −1.60086 | − | 0.493800i | −0.506236 | − | 0.156153i | ||||
\(11\) | −4.29136 | + | 2.06661i | −1.29389 | + | 0.623106i | −0.948923 | − | 0.315507i | \(-0.897825\pi\) |
−0.344970 | + | 0.938614i | \(0.612111\pi\) | |||||||
\(12\) | −7.65298 | + | 2.43941i | −2.20923 | + | 0.704197i | ||||
\(13\) | −0.292340 | + | 3.90101i | −0.0810805 | + | 1.08194i | 0.797174 | + | 0.603750i | \(0.206328\pi\) |
−0.878254 | + | 0.478194i | \(0.841291\pi\) | |||||||
\(14\) | −5.83567 | − | 3.52241i | −1.55965 | − | 0.941403i | ||||
\(15\) | 0.260902 | + | 1.09565i | 0.0673646 | + | 0.282896i | ||||
\(16\) | 7.86562 | + | 2.42622i | 1.96641 | + | 0.606556i | ||||
\(17\) | −3.53970 | + | 0.533524i | −0.858504 | + | 0.129399i | −0.563519 | − | 0.826103i | \(-0.690553\pi\) |
−0.294985 | + | 0.955502i | \(0.595315\pi\) | |||||||
\(18\) | 5.76329 | + | 5.14994i | 1.35842 | + | 1.21385i | ||||
\(19\) | 2.69554 | + | 4.66882i | 0.618400 | + | 1.07110i | 0.989778 | + | 0.142618i | \(0.0455522\pi\) |
−0.371378 | + | 0.928482i | \(0.621115\pi\) | |||||||
\(20\) | 1.10171 | − | 2.80712i | 0.246351 | − | 0.627691i | ||||
\(21\) | −0.0462435 | + | 4.58234i | −0.0100912 | + | 0.999949i | ||||
\(22\) | −4.48317 | − | 11.4229i | −0.955816 | − | 2.43538i | ||||
\(23\) | −1.13581 | + | 1.42426i | −0.236833 | + | 0.296979i | −0.886018 | − | 0.463652i | \(-0.846539\pi\) |
0.649184 | + | 0.760631i | \(0.275110\pi\) | |||||||
\(24\) | −2.72635 | − | 11.4492i | −0.556514 | − | 2.33706i | ||||
\(25\) | 4.12388 | + | 1.98596i | 0.824776 | + | 0.397191i | ||||
\(26\) | −9.96590 | − | 1.50212i | −1.95447 | − | 0.294590i | ||||
\(27\) | 1.01338 | − | 5.09638i | 0.195025 | − | 0.980798i | ||||
\(28\) | 7.10773 | − | 10.0012i | 1.34323 | − | 1.89005i | ||||
\(29\) | 1.52934 | − | 3.89670i | 0.283992 | − | 0.723600i | −0.715691 | − | 0.698417i | \(-0.753888\pi\) |
0.999683 | − | 0.0251825i | \(-0.00801668\pi\) | |||||||
\(30\) | −2.86510 | + | 0.459345i | −0.523092 | + | 0.0838646i | ||||
\(31\) | −1.48968 | − | 2.58020i | −0.267555 | − | 0.463418i | 0.700675 | − | 0.713480i | \(-0.252882\pi\) |
−0.968230 | + | 0.250062i | \(0.919549\pi\) | |||||||
\(32\) | −2.78263 | + | 7.09002i | −0.491904 | + | 1.25335i | ||||
\(33\) | −5.08302 | + | 6.49791i | −0.884840 | + | 1.13114i | ||||
\(34\) | −0.689195 | − | 9.19667i | −0.118196 | − | 1.57722i | ||||
\(35\) | −1.32395 | − | 1.09864i | −0.223789 | − | 0.185705i | ||||
\(36\) | −10.0194 | + | 9.65237i | −1.66990 | + | 1.60873i | ||||
\(37\) | −2.55648 | + | 6.51381i | −0.420283 | + | 1.07086i | 0.551330 | + | 0.834287i | \(0.314121\pi\) |
−0.971613 | + | 0.236576i | \(0.923975\pi\) | |||||||
\(38\) | −12.5138 | + | 6.02631i | −2.03000 | + | 0.977597i | ||||
\(39\) | 2.53444 | + | 6.28383i | 0.405835 | + | 1.00622i | ||||
\(40\) | 3.98098 | + | 1.91714i | 0.629448 | + | 0.303126i | ||||
\(41\) | 3.97206 | + | 3.68553i | 0.620331 | + | 0.575583i | 0.926454 | − | 0.376409i | \(-0.122841\pi\) |
−0.306123 | + | 0.951992i | \(0.599032\pi\) | |||||||
\(42\) | −11.7637 | − | 1.00104i | −1.81518 | − | 0.154464i | ||||
\(43\) | 9.26906 | − | 8.60043i | 1.41352 | − | 1.31155i | 0.526228 | − | 0.850343i | \(-0.323606\pi\) |
0.887291 | − | 0.461211i | \(-0.152585\pi\) | |||||||
\(44\) | 21.1073 | − | 6.51072i | 3.18204 | − | 0.981529i | ||||
\(45\) | 1.24467 | + | 1.50212i | 0.185544 | + | 0.223923i | ||||
\(46\) | −3.44044 | − | 3.19226i | −0.507265 | − | 0.470673i | ||||
\(47\) | 0.530961 | − | 7.08519i | 0.0774487 | − | 1.03348i | −0.814150 | − | 0.580655i | \(-0.802797\pi\) |
0.891599 | − | 0.452826i | \(-0.149584\pi\) | |||||||
\(48\) | 14.0773 | − | 2.25694i | 2.03188 | − | 0.325761i | ||||
\(49\) | −4.14814 | − | 5.63852i | −0.592591 | − | 0.805504i | ||||
\(50\) | −5.89614 | + | 10.2124i | −0.833841 | + | 1.44425i | ||||
\(51\) | −5.08988 | + | 3.54055i | −0.712726 | + | 0.495776i | ||||
\(52\) | 4.03689 | − | 17.6867i | 0.559815 | − | 2.45271i | ||||
\(53\) | 3.33328 | + | 8.49307i | 0.457862 | + | 1.16661i | 0.954382 | + | 0.298587i | \(0.0965155\pi\) |
−0.496521 | + | 0.868025i | \(0.665389\pi\) | |||||||
\(54\) | 12.8981 | + | 3.58471i | 1.75521 | + | 0.487817i | ||||
\(55\) | −0.689197 | − | 3.01957i | −0.0929314 | − | 0.407159i | ||||
\(56\) | 13.8349 | + | 11.4805i | 1.84877 | + | 1.53415i | ||||
\(57\) | 7.76407 | + | 5.18754i | 1.02838 | + | 0.687107i | ||||
\(58\) | 9.71669 | + | 4.67931i | 1.27586 | + | 0.614423i | ||||
\(59\) | 2.85438 | − | 2.64848i | 0.371609 | − | 0.344803i | −0.472156 | − | 0.881515i | \(-0.656524\pi\) |
0.843766 | + | 0.536712i | \(0.180334\pi\) | |||||||
\(60\) | −0.439122 | − | 5.20464i | −0.0566904 | − | 0.671916i | ||||
\(61\) | 7.83228 | − | 1.18053i | 1.00282 | − | 0.151151i | 0.372950 | − | 0.927851i | \(-0.378346\pi\) |
0.629870 | + | 0.776701i | \(0.283108\pi\) | |||||||
\(62\) | 6.91568 | − | 3.33042i | 0.878292 | − | 0.422963i | ||||
\(63\) | 3.43870 | + | 7.15369i | 0.433236 | + | 0.901281i | ||||
\(64\) | −2.84710 | − | 1.37109i | −0.355888 | − | 0.171387i | ||||
\(65\) | −2.43077 | − | 0.749794i | −0.301500 | − | 0.0930005i | ||||
\(66\) | −15.7153 | − | 14.3100i | −1.93442 | − | 1.76144i | ||||
\(67\) | 0.717064 | + | 1.24199i | 0.0876033 | + | 0.151733i | 0.906498 | − | 0.422211i | \(-0.138746\pi\) |
−0.818894 | + | 0.573944i | \(0.805413\pi\) | |||||||
\(68\) | 16.6007 | 2.01314 | ||||||||
\(69\) | −0.673255 | + | 3.08261i | −0.0810503 | + | 0.371103i | ||||
\(70\) | 3.07746 | − | 3.18989i | 0.367827 | − | 0.381264i | ||||
\(71\) | −5.33059 | + | 6.68435i | −0.632625 | + | 0.793287i | −0.990059 | − | 0.140651i | \(-0.955080\pi\) |
0.357434 | + | 0.933938i | \(0.383652\pi\) | |||||||
\(72\) | −13.0064 | − | 15.6967i | −1.53282 | − | 1.84988i | ||||
\(73\) | 4.76734 | − | 3.25032i | 0.557975 | − | 0.380421i | −0.251248 | − | 0.967923i | \(-0.580841\pi\) |
0.809223 | + | 0.587502i | \(0.199888\pi\) | |||||||
\(74\) | −16.2426 | − | 7.82203i | −1.88817 | − | 0.909292i | ||||
\(75\) | 7.92753 | − | 0.0742997i | 0.915392 | − | 0.00857939i | ||||
\(76\) | −9.13393 | − | 23.2729i | −1.04773 | − | 2.66958i | ||||
\(77\) | 0.245260 | − | 12.5995i | 0.0279499 | − | 1.43584i | ||||
\(78\) | −16.6319 | + | 5.30148i | −1.88319 | + | 0.600274i | ||||
\(79\) | −2.16694 | + | 3.75324i | −0.243799 | + | 0.422273i | −0.961793 | − | 0.273776i | \(-0.911727\pi\) |
0.717994 | + | 0.696049i | \(0.245060\pi\) | |||||||
\(80\) | −2.67625 | + | 4.63540i | −0.299214 | + | 0.518254i | ||||
\(81\) | −2.33014 | − | 8.69313i | −0.258905 | − | 0.965903i | ||||
\(82\) | −10.2333 | + | 9.49515i | −1.13008 | + | 1.04856i | ||||
\(83\) | −0.164534 | − | 2.19555i | −0.0180599 | − | 0.240993i | −0.998927 | − | 0.0463141i | \(-0.985252\pi\) |
0.980867 | − | 0.194679i | \(-0.0623666\pi\) | |||||||
\(84\) | 3.37929 | − | 20.9812i | 0.368711 | − | 2.28924i | ||||
\(85\) | 0.173951 | − | 2.32122i | 0.0188677 | − | 0.251772i | ||||
\(86\) | 20.3110 | + | 25.4693i | 2.19020 | + | 2.74642i | ||||
\(87\) | −0.609567 | − | 7.22482i | −0.0653524 | − | 0.774582i | ||||
\(88\) | 7.20192 | + | 31.5537i | 0.767727 | + | 3.36363i | ||||
\(89\) | −0.498638 | − | 6.65386i | −0.0528555 | − | 0.705307i | −0.959193 | − | 0.282753i | \(-0.908752\pi\) |
0.906337 | − | 0.422555i | \(-0.138867\pi\) | |||||||
\(90\) | −4.09877 | + | 2.90850i | −0.432048 | + | 0.306583i | ||||
\(91\) | −8.86098 | − | 5.34848i | −0.928883 | − | 0.560673i | ||||
\(92\) | 6.19290 | − | 5.74618i | 0.645655 | − | 0.599080i | ||||
\(93\) | −4.29079 | − | 2.86687i | −0.444934 | − | 0.297281i | ||||
\(94\) | 18.1005 | + | 2.72822i | 1.86693 | + | 0.281394i | ||||
\(95\) | −3.34987 | + | 1.03330i | −0.343689 | + | 0.106014i | ||||
\(96\) | 1.10910 | + | 13.1455i | 0.113197 | + | 1.34166i | ||||
\(97\) | 8.43105 | + | 14.6030i | 0.856043 | + | 1.48271i | 0.875674 | + | 0.482903i | \(0.160418\pi\) |
−0.0196309 | + | 0.999807i | \(0.506249\pi\) | |||||||
\(98\) | 15.2847 | − | 9.57151i | 1.54399 | − | 0.966869i | ||||
\(99\) | −2.91797 | + | 13.9880i | −0.293267 | + | 1.40585i | ||||
\(100\) | −17.5382 | − | 11.9573i | −1.75382 | − | 1.19573i | ||||
\(101\) | −2.07854 | + | 9.10668i | −0.206822 | + | 0.906148i | 0.759843 | + | 0.650106i | \(0.225276\pi\) |
−0.966666 | + | 0.256042i | \(0.917581\pi\) | |||||||
\(102\) | −8.11618 | − | 13.7582i | −0.803621 | − | 1.36227i | ||||
\(103\) | −2.33735 | + | 10.2406i | −0.230306 | + | 1.00903i | 0.719081 | + | 0.694926i | \(0.244563\pi\) |
−0.949387 | + | 0.314109i | \(0.898294\pi\) | |||||||
\(104\) | 25.4009 | + | 7.83514i | 2.49076 | + | 0.768298i | ||||
\(105\) | −2.89832 | − | 0.692366i | −0.282847 | − | 0.0675680i | ||||
\(106\) | −22.4615 | + | 6.92847i | −2.18166 | + | 0.672952i | ||||
\(107\) | 0.214273 | + | 2.85928i | 0.0207146 | + | 0.276417i | 0.997937 | + | 0.0641997i | \(0.0204495\pi\) |
−0.977222 | + | 0.212217i | \(0.931931\pi\) | |||||||
\(108\) | −8.16957 | + | 22.6700i | −0.786118 | + | 2.18142i | ||||
\(109\) | 0.888813 | − | 11.8604i | 0.0851329 | − | 1.13602i | −0.777056 | − | 0.629432i | \(-0.783288\pi\) |
0.862189 | − | 0.506588i | \(-0.169093\pi\) | |||||||
\(110\) | 7.89036 | − | 1.18928i | 0.752316 | − | 0.113393i | ||||
\(111\) | 1.01896 | + | 12.0772i | 0.0967159 | + | 1.14631i | ||||
\(112\) | −15.1207 | + | 15.6731i | −1.42877 | + | 1.48097i | ||||
\(113\) | −10.2234 | + | 6.97018i | −0.961734 | + | 0.655699i | −0.938954 | − | 0.344042i | \(-0.888204\pi\) |
−0.0227793 | + | 0.999741i | \(0.507252\pi\) | |||||||
\(114\) | −14.8223 | + | 18.9481i | −1.38823 | + | 1.77466i | ||||
\(115\) | −0.738574 | − | 0.926142i | −0.0688724 | − | 0.0863632i | ||||
\(116\) | −9.70642 | + | 16.8120i | −0.901219 | + | 1.56096i | ||||
\(117\) | 8.75108 | + | 7.81975i | 0.809038 | + | 0.722936i | ||||
\(118\) | 6.25473 | + | 7.84319i | 0.575795 | + | 0.722024i | ||||
\(119\) | 2.96722 | − | 8.99414i | 0.272005 | − | 0.824491i | ||||
\(120\) | 7.65282 | − | 0.0717251i | 0.698604 | − | 0.00654757i | ||||
\(121\) | 7.28650 | − | 9.13699i | 0.662409 | − | 0.830635i | ||||
\(122\) | 1.52498 | + | 20.3494i | 0.138065 | + | 1.84235i | ||||
\(123\) | 8.99373 | + | 2.68215i | 0.810937 | + | 0.241841i | ||||
\(124\) | 5.04783 | + | 12.8617i | 0.453308 | + | 1.15501i | ||||
\(125\) | −3.88288 | + | 4.86898i | −0.347295 | + | 0.435494i | ||||
\(126\) | −19.0408 | + | 7.45717i | −1.69629 | + | 0.664337i | ||||
\(127\) | 10.0685 | + | 12.6255i | 0.893433 | + | 1.12033i | 0.992130 | + | 0.125212i | \(0.0399610\pi\) |
−0.0986975 | + | 0.995117i | \(0.531468\pi\) | |||||||
\(128\) | −3.54585 | + | 6.14160i | −0.313412 | + | 0.542846i | ||||
\(129\) | 7.80988 | − | 20.4611i | 0.687621 | − | 1.80150i | ||||
\(130\) | 2.39431 | − | 6.10061i | 0.209995 | − | 0.535059i | ||||
\(131\) | −3.27259 | − | 14.3381i | −0.285927 | − | 1.25273i | −0.890059 | − | 0.455845i | \(-0.849337\pi\) |
0.604132 | − | 0.796884i | \(-0.293520\pi\) | |||||||
\(132\) | 27.8004 | − | 26.2841i | 2.41971 | − | 2.28774i | ||||
\(133\) | −14.2416 | + | 0.788887i | −1.23491 | + | 0.0684051i | ||||
\(134\) | −3.32889 | + | 1.60311i | −0.287572 | + | 0.138488i | ||||
\(135\) | 3.08425 | + | 1.37987i | 0.265450 | + | 0.118760i | ||||
\(136\) | −1.81774 | + | 24.2561i | −0.155870 | + | 2.07994i | ||||
\(137\) | 0.926250 | + | 4.05816i | 0.0791348 | + | 0.346712i | 0.998959 | − | 0.0456187i | \(-0.0145259\pi\) |
−0.919824 | + | 0.392331i | \(0.871669\pi\) | |||||||
\(138\) | −7.79001 | − | 2.32317i | −0.663129 | − | 0.197761i | ||||
\(139\) | −12.9678 | − | 12.0323i | −1.09991 | − | 1.02057i | −0.999672 | − | 0.0256065i | \(-0.991848\pi\) |
−0.100241 | − | 0.994963i | \(-0.531961\pi\) | |||||||
\(140\) | 5.31188 | + | 5.95314i | 0.448936 | + | 0.503132i | ||||
\(141\) | −4.60317 | − | 11.4130i | −0.387657 | − | 0.961147i | ||||
\(142\) | −16.1467 | − | 14.9819i | −1.35500 | − | 1.25725i | ||||
\(143\) | −6.80732 | − | 17.3448i | −0.569257 | − | 1.45044i | ||||
\(144\) | 20.1388 | − | 14.2906i | 1.67823 | − | 1.19088i | ||||
\(145\) | 2.24905 | + | 1.53338i | 0.186774 | + | 0.127340i | ||||
\(146\) | 7.43263 | + | 12.8737i | 0.615129 | + | 1.06543i | ||||
\(147\) | −10.7634 | − | 5.58106i | −0.887754 | − | 0.460318i | ||||
\(148\) | 16.2255 | − | 28.1033i | 1.33372 | − | 2.31008i | ||||
\(149\) | 8.65432 | − | 4.16770i | 0.708990 | − | 0.341431i | −0.0443927 | − | 0.999014i | \(-0.514135\pi\) |
0.753382 | + | 0.657583i | \(0.228421\pi\) | |||||||
\(150\) | −1.33540 | + | 20.3811i | −0.109035 | + | 1.66411i | ||||
\(151\) | −9.00063 | + | 11.2864i | −0.732461 | + | 0.918476i | −0.998971 | − | 0.0453556i | \(-0.985558\pi\) |
0.266510 | + | 0.963832i | \(0.414129\pi\) | |||||||
\(152\) | 35.0052 | − | 10.7977i | 2.83930 | − | 0.875807i | ||||
\(153\) | −5.19427 | + | 9.39930i | −0.419931 | + | 0.759888i | ||||
\(154\) | 32.3224 | + | 3.05587i | 2.60461 | + | 0.246249i | ||||
\(155\) | 1.85129 | − | 0.571048i | 0.148699 | − | 0.0458677i | ||||
\(156\) | −7.27889 | − | 30.5675i | −0.582777 | − | 2.44736i | ||||
\(157\) | −0.996758 | + | 0.924856i | −0.0795500 | + | 0.0738116i | −0.718946 | − | 0.695066i | \(-0.755375\pi\) |
0.639396 | + | 0.768878i | \(0.279185\pi\) | |||||||
\(158\) | −9.22536 | − | 6.28975i | −0.733930 | − | 0.500385i | ||||
\(159\) | 11.6845 | + | 10.6396i | 0.926642 | + | 0.843775i | ||||
\(160\) | −4.09213 | − | 2.78997i | −0.323512 | − | 0.220566i | ||||
\(161\) | −2.00631 | − | 4.38234i | −0.158119 | − | 0.345376i | ||||
\(162\) | 22.7824 | − | 4.31275i | 1.78995 | − | 0.338841i | ||||
\(163\) | 10.3825 | − | 9.63358i | 0.813223 | − | 0.754560i | −0.159334 | − | 0.987225i | \(-0.550935\pi\) |
0.972557 | + | 0.232664i | \(0.0747443\pi\) | |||||||
\(164\) | −15.6673 | − | 19.6461i | −1.22341 | − | 1.53410i | ||||
\(165\) | −3.38390 | − | 4.16264i | −0.263437 | − | 0.324061i | ||||
\(166\) | 5.67234 | 0.440259 | ||||||||
\(167\) | −5.43277 | + | 0.818858i | −0.420400 | + | 0.0633652i | −0.355836 | − | 0.934548i | \(-0.615804\pi\) |
−0.0645643 | + | 0.997914i | \(0.520566\pi\) | |||||||
\(168\) | 30.2866 | + | 7.23503i | 2.33666 | + | 0.558195i | ||||
\(169\) | −2.27759 | − | 0.343291i | −0.175199 | − | 0.0264070i | ||||
\(170\) | 5.93002 | + | 0.893807i | 0.454812 | + | 0.0685518i | ||||
\(171\) | 16.0350 | + | 2.11032i | 1.22623 | + | 0.161381i | ||||
\(172\) | −48.4495 | + | 33.0323i | −3.69424 | + | 2.51869i | ||||
\(173\) | −7.21598 | − | 18.3860i | −0.548620 | − | 1.39786i | −0.889145 | − | 0.457626i | \(-0.848700\pi\) |
0.340524 | − | 0.940236i | \(-0.389395\pi\) | |||||||
\(174\) | 18.6788 | − | 0.175065i | 1.41604 | − | 0.0132716i | ||||
\(175\) | −9.61316 | + | 7.36478i | −0.726686 | + | 0.556725i | ||||
\(176\) | −38.7683 | + | 5.84338i | −2.92227 | + | 0.440461i | ||||
\(177\) | 2.40503 | − | 6.30093i | 0.180773 | − | 0.473607i | ||||
\(178\) | 17.1906 | 1.28849 | ||||||||
\(179\) | −18.2198 | + | 2.74619i | −1.36181 | + | 0.205260i | −0.788982 | − | 0.614417i | \(-0.789391\pi\) |
−0.572827 | + | 0.819676i | \(0.694153\pi\) | |||||||
\(180\) | −4.66942 | − | 7.74854i | −0.348038 | − | 0.577542i | ||||
\(181\) | 15.5157 | + | 7.47195i | 1.15327 | + | 0.555385i | 0.910014 | − | 0.414577i | \(-0.136070\pi\) |
0.243255 | + | 0.969962i | \(0.421785\pi\) | |||||||
\(182\) | 15.4469 | − | 21.7352i | 1.14500 | − | 1.61112i | ||||
\(183\) | 11.2624 | − | 7.83416i | 0.832537 | − | 0.579117i | ||||
\(184\) | 7.71789 | + | 9.67793i | 0.568970 | + | 0.713466i | ||||
\(185\) | −3.75956 | − | 2.56323i | −0.276409 | − | 0.188452i | ||||
\(186\) | 8.19147 | − | 10.4716i | 0.600628 | − | 0.767816i | ||||
\(187\) | 14.0875 | − | 9.60472i | 1.03018 | − | 0.702367i | ||||
\(188\) | −7.33198 | + | 32.1235i | −0.534739 | + | 2.34285i | ||||
\(189\) | 10.8222 | + | 8.47824i | 0.787197 | + | 0.616701i | ||||
\(190\) | −2.00973 | − | 8.80518i | −0.145801 | − | 0.638795i | ||||
\(191\) | −4.80741 | − | 4.46063i | −0.347852 | − | 0.322760i | 0.486825 | − | 0.873500i | \(-0.338155\pi\) |
−0.834677 | + | 0.550740i | \(0.814346\pi\) | |||||||
\(192\) | −5.47312 | + | 0.0512962i | −0.394989 | + | 0.00370198i | ||||
\(193\) | 2.70268 | − | 0.833665i | 0.194543 | − | 0.0600085i | −0.195953 | − | 0.980613i | \(-0.562780\pi\) |
0.390496 | + | 0.920605i | \(0.372304\pi\) | |||||||
\(194\) | −39.1402 | + | 18.8489i | −2.81010 | + | 1.35327i | ||||
\(195\) | −4.35041 | + | 0.697477i | −0.311539 | + | 0.0499474i | ||||
\(196\) | 15.1248 | + | 28.7236i | 1.08034 | + | 2.05169i | ||||
\(197\) | 22.5704 | 1.60808 | 0.804039 | − | 0.594577i | \(-0.202680\pi\) | ||||
0.804039 | + | 0.594577i | \(0.202680\pi\) | |||||||
\(198\) | −35.3753 | − | 10.1897i | −2.51401 | − | 0.724154i | ||||
\(199\) | 0.178378 | + | 0.165510i | 0.0126449 | + | 0.0117327i | 0.686470 | − | 0.727158i | \(-0.259159\pi\) |
−0.673825 | + | 0.738891i | \(0.735350\pi\) | |||||||
\(200\) | 19.3918 | − | 24.3165i | 1.37121 | − | 1.71944i | ||||
\(201\) | 2.06539 | + | 1.37998i | 0.145681 | + | 0.0973364i | ||||
\(202\) | −22.9960 | − | 7.09334i | −1.61800 | − | 0.499086i | ||||
\(203\) | 7.37368 | + | 8.26384i | 0.517531 | + | 0.580008i | ||||
\(204\) | 25.7878 | − | 12.7178i | 1.80551 | − | 0.890427i | ||||
\(205\) | −2.91121 | + | 1.98483i | −0.203328 | + | 0.138627i | ||||
\(206\) | −25.8594 | − | 7.97656i | −1.80171 | − | 0.555753i | ||||
\(207\) | 1.31575 | + | 5.30435i | 0.0914510 | + | 0.368678i | ||||
\(208\) | −11.7641 | + | 29.9746i | −0.815697 | + | 2.07836i | ||||
\(209\) | −21.2162 | − | 14.4649i | −1.46755 | − | 1.00056i | ||||
\(210\) | 2.33679 | − | 7.31285i | 0.161254 | − | 0.504635i | ||||
\(211\) | −15.7923 | + | 10.7670i | −1.08719 | + | 0.741233i | −0.967827 | − | 0.251617i | \(-0.919038\pi\) |
−0.119363 | + | 0.992851i | \(0.538085\pi\) | |||||||
\(212\) | −9.41515 | − | 41.2505i | −0.646635 | − | 2.83309i | ||||
\(213\) | −3.15972 | + | 14.4673i | −0.216501 | + | 0.991285i | ||||
\(214\) | −7.38711 | −0.504973 | ||||||||
\(215\) | 4.11111 | + | 7.12065i | 0.280375 | + | 0.485624i | ||||
\(216\) | −32.2296 | − | 14.4192i | −2.19295 | − | 0.981106i | ||||
\(217\) | 7.87059 | − | 0.435975i | 0.534290 | − | 0.0295959i | ||||
\(218\) | 30.2997 | + | 4.56695i | 2.05216 | + | 0.309313i | ||||
\(219\) | 4.91558 | − | 8.70135i | 0.332164 | − | 0.587983i | ||||
\(220\) | 1.07337 | + | 14.3232i | 0.0723669 | + | 0.965669i | ||||
\(221\) | −1.04648 | − | 13.9644i | −0.0703942 | − | 0.939345i | ||||
\(222\) | −31.2239 | + | 0.292642i | −2.09561 | + | 0.0196409i | ||||
\(223\) | −7.89215 | − | 1.18955i | −0.528497 | − | 0.0796581i | −0.120627 | − | 0.992698i | \(-0.538490\pi\) |
−0.407870 | + | 0.913040i | \(0.633729\pi\) | |||||||
\(224\) | −13.4164 | − | 15.0360i | −0.896418 | − | 1.00463i | ||||
\(225\) | 12.2578 | − | 6.18870i | 0.817186 | − | 0.412580i | ||||
\(226\) | −15.9390 | − | 27.6071i | −1.06024 | − | 1.83640i | ||||
\(227\) | 22.2521 | 1.47692 | 0.738462 | − | 0.674295i | \(-0.235552\pi\) | ||||
0.738462 | + | 0.674295i | \(0.235552\pi\) | |||||||
\(228\) | −32.0181 | − | 29.1548i | −2.12045 | − | 1.93083i | ||||
\(229\) | −0.523095 | − | 2.29183i | −0.0345671 | − | 0.151448i | 0.954699 | − | 0.297573i | \(-0.0961771\pi\) |
−0.989266 | + | 0.146125i | \(0.953320\pi\) | |||||||
\(230\) | 2.52158 | − | 1.71918i | 0.166268 | − | 0.113359i | ||||
\(231\) | −9.27147 | − | 19.7600i | −0.610018 | − | 1.30012i | ||||
\(232\) | −23.5020 | − | 16.0234i | −1.54298 | − | 1.05199i | ||||
\(233\) | 1.67994 | − | 4.28043i | 0.110057 | − | 0.280420i | −0.865225 | − | 0.501383i | \(-0.832825\pi\) |
0.975282 | + | 0.220963i | \(0.0709200\pi\) | |||||||
\(234\) | −21.7748 | + | 20.9771i | −1.42346 | + | 1.37132i | ||||
\(235\) | 4.41488 | + | 1.36181i | 0.287995 | + | 0.0888347i | ||||
\(236\) | −14.9199 | + | 10.1722i | −0.971203 | + | 0.662155i | ||||
\(237\) | −0.490782 | + | 7.49042i | −0.0318797 | + | 0.486555i | ||||
\(238\) | 22.5358 | + | 9.35481i | 1.46078 | + | 0.606382i | ||||
\(239\) | 18.5874 | + | 5.73345i | 1.20232 | + | 0.370866i | 0.830277 | − | 0.557350i | \(-0.188182\pi\) |
0.372041 | + | 0.928216i | \(0.378658\pi\) | |||||||
\(240\) | −0.606135 | + | 9.25097i | −0.0391259 | + | 0.597148i | ||||
\(241\) | 17.9170 | − | 22.4672i | 1.15413 | − | 1.44724i | 0.281035 | − | 0.959698i | \(-0.409322\pi\) |
0.873100 | − | 0.487541i | \(-0.162106\pi\) | |||||||
\(242\) | 22.0712 | + | 20.4791i | 1.41879 | + | 1.31645i | ||||
\(243\) | −10.2795 | − | 11.7189i | −0.659429 | − | 0.751767i | ||||
\(244\) | −36.7324 | −2.35155 | ||||||||
\(245\) | 4.17481 | − | 1.81387i | 0.266719 | − | 0.115884i | ||||
\(246\) | −8.62235 | + | 22.5896i | −0.549741 | + | 1.44026i | ||||
\(247\) | −19.0011 | + | 9.15045i | −1.20901 | + | 0.582229i | ||||
\(248\) | −19.3455 | + | 5.96729i | −1.22844 | + | 0.378923i | ||||
\(249\) | −1.93760 | − | 3.28455i | −0.122791 | − | 0.208150i | ||||
\(250\) | −11.7615 | − | 10.9130i | −0.743860 | − | 0.690201i | ||||
\(251\) | −1.18540 | − | 5.19358i | −0.0748218 | − | 0.327816i | 0.923640 | − | 0.383261i | \(-0.125199\pi\) |
−0.998462 | + | 0.0554457i | \(0.982342\pi\) | |||||||
\(252\) | −10.8243 | − | 35.1814i | −0.681868 | − | 2.21622i | ||||
\(253\) | 1.93078 | − | 8.45930i | 0.121387 | − | 0.531832i | ||||
\(254\) | −34.3749 | + | 23.4364i | −2.15687 | + | 1.47053i | ||||
\(255\) | −1.50807 | − | 3.73907i | −0.0944390 | − | 0.234150i | ||||
\(256\) | −20.3178 | − | 13.8524i | −1.26986 | − | 0.865777i | ||||
\(257\) | 4.76465 | + | 5.97469i | 0.297211 | + | 0.372691i | 0.907905 | − | 0.419176i | \(-0.137681\pi\) |
−0.610694 | + | 0.791867i | \(0.709110\pi\) | |||||||
\(258\) | 51.0634 | + | 24.0039i | 3.17907 | + | 1.49442i | ||||
\(259\) | −12.3260 | − | 13.8140i | −0.765900 | − | 0.858361i | ||||
\(260\) | 10.6285 | + | 5.11843i | 0.659153 | + | 0.317431i | ||||
\(261\) | −6.48185 | − | 10.7561i | −0.401216 | − | 0.665788i | ||||
\(262\) | 37.4666 | − | 5.64718i | 2.31469 | − | 0.348884i | ||||
\(263\) | 19.6623 | 1.21243 | 0.606215 | − | 0.795301i | \(-0.292687\pi\) | ||||
0.606215 | + | 0.795301i | \(0.292687\pi\) | |||||||
\(264\) | 35.3608 | + | 43.4985i | 2.17631 | + | 2.67715i | ||||
\(265\) | −5.86656 | + | 0.884241i | −0.360380 | + | 0.0543185i | ||||
\(266\) | 0.715186 | − | 36.7405i | 0.0438509 | − | 2.25270i | ||||
\(267\) | −5.87211 | − | 9.95418i | −0.359368 | − | 0.609186i | ||||
\(268\) | −2.42979 | − | 6.19101i | −0.148423 | − | 0.378176i | ||||
\(269\) | −17.3694 | + | 11.8422i | −1.05903 | + | 0.722033i | −0.961945 | − | 0.273243i | \(-0.911904\pi\) |
−0.0970833 | + | 0.995276i | \(0.530951\pi\) | |||||||
\(270\) | −4.13887 | + | 7.65818i | −0.251884 | + | 0.466062i | ||||
\(271\) | 2.02737 | + | 0.305577i | 0.123154 | + | 0.0185625i | 0.210330 | − | 0.977630i | \(-0.432546\pi\) |
−0.0871760 | + | 0.996193i | \(0.527784\pi\) | |||||||
\(272\) | −29.1364 | − | 4.39161i | −1.76665 | − | 0.266280i | ||||
\(273\) | −17.8622 | − | 1.52000i | −1.08107 | − | 0.0919945i | ||||
\(274\) | −10.6043 | + | 1.59834i | −0.640628 | + | 0.0965591i | ||||
\(275\) | −21.8012 | −1.31466 | ||||||||
\(276\) | 5.21798 | − | 13.6706i | 0.314086 | − | 0.822871i | ||||
\(277\) | −5.31226 | − | 6.66137i | −0.319183 | − | 0.400243i | 0.596194 | − | 0.802840i | \(-0.296679\pi\) |
−0.915377 | + | 0.402598i | \(0.868107\pi\) | |||||||
\(278\) | 33.4093 | − | 30.9993i | 2.00376 | − | 1.85921i | ||||
\(279\) | −8.86167 | − | 1.16626i | −0.530534 | − | 0.0698223i | ||||
\(280\) | −9.28004 | + | 7.10958i | −0.554588 | + | 0.424878i | ||||
\(281\) | 2.18759 | + | 1.49147i | 0.130500 | + | 0.0889737i | 0.626811 | − | 0.779171i | \(-0.284360\pi\) |
−0.496310 | + | 0.868145i | \(0.665312\pi\) | |||||||
\(282\) | 30.2077 | − | 9.62879i | 1.79884 | − | 0.573386i | ||||
\(283\) | 3.75577 | + | 2.56064i | 0.223257 | + | 0.152214i | 0.669784 | − | 0.742556i | \(-0.266387\pi\) |
−0.446526 | + | 0.894770i | \(0.647339\pi\) | |||||||
\(284\) | 29.0646 | − | 26.9680i | 1.72466 | − | 1.60025i | ||||
\(285\) | −4.41212 | + | 4.17147i | −0.261351 | + | 0.247097i | ||||
\(286\) | 45.8716 | − | 14.1495i | 2.71244 | − | 0.836678i | ||||
\(287\) | −13.4445 | + | 4.97683i | −0.793602 | + | 0.293773i | ||||
\(288\) | 11.7937 | + | 19.5707i | 0.694948 | + | 1.15321i | ||||
\(289\) | −3.99990 | + | 1.23381i | −0.235288 | + | 0.0725768i | ||||
\(290\) | −4.37246 | + | 5.48289i | −0.256759 | + | 0.321966i | ||||
\(291\) | 24.2843 | + | 16.2254i | 1.42357 | + | 0.951153i | ||||
\(292\) | −24.1081 | + | 11.6099i | −1.41082 | + | 0.679416i | ||||
\(293\) | −0.732578 | + | 1.26886i | −0.0427977 | + | 0.0741278i | −0.886631 | − | 0.462478i | \(-0.846960\pi\) |
0.843833 | + | 0.536606i | \(0.180294\pi\) | |||||||
\(294\) | 16.4107 | − | 26.5782i | 0.957094 | − | 1.55007i | ||||
\(295\) | 1.26600 | + | 2.19278i | 0.0737096 | + | 0.127669i | ||||
\(296\) | 39.2864 | + | 26.7850i | 2.28347 | + | 1.55685i | ||||
\(297\) | 6.18344 | + | 23.9646i | 0.358800 | + | 1.39057i | ||||
\(298\) | 9.04115 | + | 23.0365i | 0.523740 | + | 1.33447i | ||||
\(299\) | −5.22401 | − | 4.84718i | −0.302113 | − | 0.280319i | ||||
\(300\) | −36.4045 | − | 5.13865i | −2.10182 | − | 0.296680i | ||||
\(301\) | 9.23675 | + | 32.1537i | 0.532398 | + | 1.85331i | ||||
\(302\) | −27.2634 | − | 25.2967i | −1.56883 | − | 1.45566i | ||||
\(303\) | 3.74780 | + | 15.7388i | 0.215306 | + | 0.904170i | ||||
\(304\) | 9.87453 | + | 43.2632i | 0.566343 | + | 2.48131i | ||||
\(305\) | −0.384901 | + | 5.13615i | −0.0220394 | + | 0.294095i | ||||
\(306\) | −23.1480 | − | 15.1544i | −1.32328 | − | 0.866318i | ||||
\(307\) | 11.0840 | − | 5.33776i | 0.632596 | − | 0.304642i | −0.0899697 | − | 0.995945i | \(-0.528677\pi\) |
0.722566 | + | 0.691302i | \(0.242963\pi\) | |||||||
\(308\) | −9.83320 | + | 57.6077i | −0.560299 | + | 3.28250i | ||||
\(309\) | 4.21446 | + | 17.6985i | 0.239752 | + | 1.00683i | ||||
\(310\) | 1.11067 | + | 4.86615i | 0.0630816 | + | 0.276379i | ||||
\(311\) | 4.66834 | − | 11.8947i | 0.264717 | − | 0.674489i | −0.735277 | − | 0.677767i | \(-0.762948\pi\) |
0.999995 | + | 0.00327743i | \(0.00104324\pi\) | |||||||
\(312\) | 45.4605 | − | 7.28844i | 2.57370 | − | 0.412627i | ||||
\(313\) | 14.5230 | − | 25.1545i | 0.820888 | − | 1.42182i | −0.0841345 | − | 0.996454i | \(-0.526813\pi\) |
0.905022 | − | 0.425365i | \(-0.139854\pi\) | |||||||
\(314\) | −2.18417 | − | 2.73886i | −0.123260 | − | 0.154563i | ||||
\(315\) | −5.03271 | + | 1.14487i | −0.283561 | + | 0.0645064i | ||||
\(316\) | 12.5311 | − | 15.7135i | 0.704928 | − | 0.883951i | ||||
\(317\) | 3.18677 | + | 8.11977i | 0.178987 | + | 0.456052i | 0.992007 | − | 0.126185i | \(-0.0402732\pi\) |
−0.813020 | + | 0.582236i | \(0.802178\pi\) | |||||||
\(318\) | −29.5841 | + | 27.9706i | −1.65899 | + | 1.56851i | ||||
\(319\) | 1.49000 | + | 19.8827i | 0.0834242 | + | 1.11322i | ||||
\(320\) | 1.28118 | − | 1.60655i | 0.0716202 | − | 0.0898089i | ||||
\(321\) | 2.52335 | + | 4.27749i | 0.140840 | + | 0.238746i | ||||
\(322\) | 11.6451 | − | 4.31073i | 0.648954 | − | 0.240228i | ||||
\(323\) | −12.0323 | − | 15.0881i | −0.669498 | − | 0.839523i | ||||
\(324\) | 4.67677 | + | 41.4745i | 0.259821 | + | 2.30414i | ||||
\(325\) | −8.95280 | + | 15.5067i | −0.496612 | + | 0.860157i | ||||
\(326\) | 22.7510 | + | 28.5288i | 1.26006 | + | 1.58006i | ||||
\(327\) | −7.70556 | − | 19.1050i | −0.426119 | − | 1.05651i | ||||
\(328\) | 30.4214 | − | 20.7409i | 1.67974 | − | 1.14523i | ||||
\(329\) | 16.0937 | + | 9.71416i | 0.887275 | + | 0.535559i | ||||
\(330\) | 11.3459 | − | 7.89225i | 0.624569 | − | 0.434454i | ||||
\(331\) | −9.56421 | + | 1.44157i | −0.525696 | + | 0.0792360i | −0.406528 | − | 0.913638i | \(-0.633261\pi\) |
−0.119168 | + | 0.992874i | \(0.538023\pi\) | |||||||
\(332\) | −0.763024 | + | 10.1819i | −0.0418764 | + | 0.558802i | ||||
\(333\) | 10.8352 | + | 17.9802i | 0.593765 | + | 0.985307i | ||||
\(334\) | −1.05778 | − | 14.1151i | −0.0578793 | − | 0.772346i | ||||
\(335\) | −0.891127 | + | 0.274876i | −0.0486875 | + | 0.0150181i | ||||
\(336\) | −11.4815 | + | 35.9308i | −0.626368 | + | 1.96018i | ||||
\(337\) | 9.22086 | + | 2.84426i | 0.502292 | + | 0.154937i | 0.535539 | − | 0.844511i | \(-0.320109\pi\) |
−0.0332468 | + | 0.999447i | \(0.510585\pi\) | |||||||
\(338\) | 1.32046 | − | 5.78532i | 0.0718237 | − | 0.314680i | ||||
\(339\) | −10.5412 | + | 18.6597i | −0.572522 | + | 1.01346i | ||||
\(340\) | −2.40207 | + | 10.5242i | −0.130271 | + | 0.570753i | ||||
\(341\) | 11.7250 | + | 7.99399i | 0.634946 | + | 0.432899i | ||||
\(342\) | −8.50890 | + | 40.7896i | −0.460109 | + | 2.20565i | ||||
\(343\) | 18.2656 | − | 3.06043i | 0.986252 | − | 0.165248i | ||||
\(344\) | −42.9599 | − | 74.4088i | −2.31624 | − | 4.01185i | ||||
\(345\) | −1.85683 | − | 0.872859i | −0.0999682 | − | 0.0469931i | ||||
\(346\) | 48.6253 | − | 14.9989i | 2.61411 | − | 0.806347i | ||||
\(347\) | −29.9881 | − | 4.51998i | −1.60985 | − | 0.242645i | −0.718353 | − | 0.695678i | \(-0.755104\pi\) |
−0.891494 | + | 0.453033i | \(0.850342\pi\) | |||||||
\(348\) | −2.19838 | + | 33.5521i | −0.117845 | + | 1.79858i | ||||
\(349\) | −5.33370 | + | 4.94895i | −0.285506 | + | 0.264911i | −0.809904 | − | 0.586562i | \(-0.800481\pi\) |
0.524398 | + | 0.851473i | \(0.324290\pi\) | |||||||
\(350\) | −17.0703 | − | 26.1154i | −0.912443 | − | 1.39593i | ||||
\(351\) | 19.5847 | + | 5.44308i | 1.04536 | + | 0.290530i | ||||
\(352\) | −2.71105 | − | 36.1764i | −0.144499 | − | 1.92821i | ||||
\(353\) | 1.56532 | + | 6.85813i | 0.0833137 | + | 0.365021i | 0.999349 | − | 0.0360763i | \(-0.0114859\pi\) |
−0.916035 | + | 0.401098i | \(0.868629\pi\) | |||||||
\(354\) | 15.7249 | + | 7.39195i | 0.835766 | + | 0.392878i | ||||
\(355\) | −3.46628 | − | 4.34657i | −0.183971 | − | 0.230692i | ||||
\(356\) | −2.31243 | + | 30.8572i | −0.122558 | + | 1.63543i | ||||
\(357\) | −2.28110 | − | 16.2448i | −0.120729 | − | 0.859766i | ||||
\(358\) | −3.54746 | − | 47.3376i | −0.187489 | − | 2.50187i | ||||
\(359\) | −3.51217 | + | 3.25882i | −0.185365 | + | 0.171994i | −0.767397 | − | 0.641172i | \(-0.778448\pi\) |
0.582032 | + | 0.813166i | \(0.302258\pi\) | |||||||
\(360\) | 11.8330 | − | 5.97425i | 0.623656 | − | 0.314871i | ||||
\(361\) | −5.03191 | + | 8.71552i | −0.264837 | + | 0.458711i | ||||
\(362\) | −22.1836 | + | 38.4231i | −1.16594 | + | 2.01948i | ||||
\(363\) | 4.31909 | − | 19.7757i | 0.226693 | − | 1.03796i | ||||
\(364\) | 36.9369 | + | 30.6510i | 1.93602 | + | 1.60655i | ||||
\(365\) | 1.37075 | + | 3.49260i | 0.0717481 | + | 0.182811i | ||||
\(366\) | 17.9586 | + | 30.4427i | 0.938712 | + | 1.59127i | ||||
\(367\) | −24.6528 | − | 11.8721i | −1.28686 | − | 0.619721i | −0.339719 | − | 0.940527i | \(-0.610332\pi\) |
−0.947145 | + | 0.320806i | \(0.896046\pi\) | |||||||
\(368\) | −12.3894 | + | 8.44698i | −0.645844 | + | 0.440329i | ||||
\(369\) | 16.0258 | − | 2.72362i | 0.834268 | − | 0.141786i | ||||
\(370\) | 7.30909 | − | 9.16530i | 0.379981 | − | 0.476481i | ||||
\(371\) | −24.0320 | − | 2.27207i | −1.24768 | − | 0.117960i | ||||
\(372\) | 17.6947 | + | 16.1123i | 0.917427 | + | 0.835384i | ||||
\(373\) | 2.48272 | 0.128550 | 0.0642751 | − | 0.997932i | \(-0.479526\pi\) | ||||
0.0642751 | + | 0.997932i | \(0.479526\pi\) | |||||||
\(374\) | 21.9635 | + | 38.0419i | 1.13571 | + | 1.96710i | ||||
\(375\) | −2.30158 | + | 10.5382i | −0.118853 | + | 0.544190i | ||||
\(376\) | −46.1343 | − | 14.2305i | −2.37919 | − | 0.733884i | ||||
\(377\) | 14.7540 | + | 7.10514i | 0.759868 | + | 0.365933i | ||||
\(378\) | −23.8653 | + | 26.1712i | −1.22750 | + | 1.34610i | ||||
\(379\) | −24.3562 | + | 11.7293i | −1.25109 | + | 0.602494i | −0.937804 | − | 0.347164i | \(-0.887145\pi\) |
−0.313288 | + | 0.949658i | \(0.601430\pi\) | |||||||
\(380\) | 16.0757 | − | 2.42302i | 0.824664 | − | 0.124298i | ||||
\(381\) | 25.3129 | + | 11.8991i | 1.29682 | + | 0.609609i | ||||
\(382\) | 12.3855 | − | 11.4921i | 0.633697 | − | 0.587985i | ||||
\(383\) | −26.4717 | − | 12.7481i | −1.35264 | − | 0.651398i | −0.389659 | − | 0.920959i | \(-0.627407\pi\) |
−0.962983 | + | 0.269561i | \(0.913121\pi\) | |||||||
\(384\) | −0.803088 | + | 12.2569i | −0.0409824 | + | 0.625483i | ||||
\(385\) | 7.95203 | + | 1.97858i | 0.405273 | + | 0.100838i | ||||
\(386\) | 1.62145 | + | 7.10403i | 0.0825295 | + | 0.361585i | ||||
\(387\) | −3.54328 | − | 37.7676i | −0.180115 | − | 1.91984i | ||||
\(388\) | −28.5688 | − | 72.7922i | −1.45036 | − | 3.69547i | ||||
\(389\) | −1.65091 | + | 7.23312i | −0.0837046 | + | 0.366734i | −0.999381 | − | 0.0351827i | \(-0.988799\pi\) |
0.915676 | + | 0.401917i | \(0.131656\pi\) | |||||||
\(390\) | −0.954327 | − | 11.3110i | −0.0483242 | − | 0.572757i | ||||
\(391\) | 3.26055 | − | 5.64745i | 0.164893 | − | 0.285604i | ||||
\(392\) | −43.6256 | + | 18.9544i | −2.20342 | + | 0.957342i | ||||
\(393\) | −16.0681 | − | 19.7659i | −0.810530 | − | 0.997058i | ||||
\(394\) | −4.34548 | + | 57.9864i | −0.218922 | + | 2.92131i | ||||
\(395\) | −2.06585 | − | 1.91683i | −0.103944 | − | 0.0964460i | ||||
\(396\) | 23.0492 | − | 62.1280i | 1.15826 | − | 3.12205i | ||||
\(397\) | 19.9840 | − | 6.16424i | 1.00297 | − | 0.309374i | 0.250580 | − | 0.968096i | \(-0.419379\pi\) |
0.752387 | + | 0.658721i | \(0.228902\pi\) | |||||||
\(398\) | −0.459560 | + | 0.426409i | −0.0230357 | + | 0.0213740i | ||||
\(399\) | −21.5188 | + | 12.1360i | −1.07729 | + | 0.607560i | ||||
\(400\) | 27.6185 | + | 25.6262i | 1.38093 | + | 1.28131i | ||||
\(401\) | 33.3745 | + | 16.0723i | 1.66664 | + | 0.802614i | 0.998270 | + | 0.0587889i | \(0.0187239\pi\) |
0.668374 | + | 0.743825i | \(0.266990\pi\) | |||||||
\(402\) | −3.94300 | + | 5.04056i | −0.196659 | + | 0.251400i | ||||
\(403\) | 10.5009 | − | 5.05696i | 0.523086 | − | 0.251905i | ||||
\(404\) | 15.8259 | − | 40.3238i | 0.787368 | − | 2.00618i | ||||
\(405\) | 5.84824 | − | 0.219344i | 0.290601 | − | 0.0108993i | ||||
\(406\) | −22.6505 | + | 17.3529i | −1.12413 | + | 0.861210i | ||||
\(407\) | −2.49072 | − | 33.2363i | −0.123460 | − | 1.64746i | ||||
\(408\) | 15.7589 | + | 39.0723i | 0.780182 | + | 1.93437i | ||||
\(409\) | −4.21689 | + | 10.7445i | −0.208512 | + | 0.531279i | −0.996423 | − | 0.0845099i | \(-0.973068\pi\) |
0.787911 | + | 0.615789i | \(0.211163\pi\) | |||||||
\(410\) | −4.53879 | − | 7.86142i | −0.224155 | − | 0.388248i | ||||
\(411\) | 4.54781 | + | 5.59440i | 0.224327 | + | 0.275951i | ||||
\(412\) | 17.7965 | − | 45.3446i | 0.876768 | − | 2.23397i | ||||
\(413\) | 2.84443 | + | 9.90166i | 0.139965 | + | 0.487229i | ||||
\(414\) | −13.8809 | + | 2.35909i | −0.682208 | + | 0.115943i | ||||
\(415\) | 1.41569 | + | 0.213382i | 0.0694937 | + | 0.0104745i | ||||
\(416\) | −26.8447 | − | 12.9277i | −1.31617 | − | 0.633835i | ||||
\(417\) | −29.3623 | − | 8.75656i | −1.43788 | − | 0.428810i | ||||
\(418\) | 41.2470 | − | 51.7221i | 2.01746 | − | 2.52981i | ||||
\(419\) | −11.3295 | − | 28.8670i | −0.553481 | − | 1.41025i | −0.884463 | − | 0.466610i | \(-0.845475\pi\) |
0.330982 | − | 0.943637i | \(-0.392620\pi\) | |||||||
\(420\) | 12.8122 | + | 5.17824i | 0.625174 | + | 0.252672i | ||||
\(421\) | −8.00611 | + | 20.3992i | −0.390194 | + | 0.994198i | 0.591934 | + | 0.805986i | \(0.298364\pi\) |
−0.982128 | + | 0.188212i | \(0.939731\pi\) | |||||||
\(422\) | −24.6214 | − | 42.6455i | −1.19855 | − | 2.07595i | ||||
\(423\) | −15.8941 | − | 14.2026i | −0.772798 | − | 0.690553i | ||||
\(424\) | 61.3039 | − | 9.24008i | 2.97718 | − | 0.448738i | ||||
\(425\) | −15.6569 | − | 4.82950i | −0.759469 | − | 0.234265i | ||||
\(426\) | −36.5601 | − | 10.9031i | −1.77134 | − | 0.528258i | ||||
\(427\) | −6.56555 | + | 19.9013i | −0.317729 | + | 0.963090i | ||||
\(428\) | 0.993691 | − | 13.2599i | 0.0480318 | − | 0.640940i | ||||
\(429\) | −23.8624 | − | 21.7285i | −1.15209 | − | 1.04906i | ||||
\(430\) | −19.0854 | + | 9.19103i | −0.920378 | + | 0.443231i | ||||
\(431\) | 17.2643 | + | 5.32533i | 0.831593 | + | 0.256512i | 0.681185 | − | 0.732112i | \(-0.261465\pi\) |
0.150408 | + | 0.988624i | \(0.451941\pi\) | |||||||
\(432\) | 20.3358 | − | 37.6275i | 0.978408 | − | 1.81035i | ||||
\(433\) | 2.18934 | − | 9.59211i | 0.105213 | − | 0.460968i | −0.894685 | − | 0.446697i | \(-0.852600\pi\) |
0.999898 | − | 0.0142706i | \(-0.00454263\pi\) | |||||||
\(434\) | −0.395245 | + | 20.3045i | −0.0189724 | + | 0.974646i | ||||
\(435\) | 4.66843 | + | 0.658967i | 0.223834 | + | 0.0315951i | ||||
\(436\) | −12.2735 | + | 53.7738i | −0.587794 | + | 2.57530i | ||||
\(437\) | −9.71125 | − | 1.46374i | −0.464552 | − | 0.0700200i | ||||
\(438\) | 21.4085 | + | 14.3040i | 1.02294 | + | 0.683472i | ||||
\(439\) | 1.25368 | − | 16.7292i | 0.0598350 | − | 0.798443i | −0.883886 | − | 0.467702i | \(-0.845082\pi\) |
0.943721 | − | 0.330741i | \(-0.107299\pi\) | |||||||
\(440\) | −21.0458 | −1.00332 | ||||||||
\(441\) | −20.9957 | − | 0.423807i | −0.999796 | − | 0.0201813i | ||||
\(442\) | 36.0777 | 1.71604 | ||||||||
\(443\) | 1.03120 | − | 13.7604i | 0.0489938 | − | 0.653777i | −0.917607 | − | 0.397490i | \(-0.869881\pi\) |
0.966601 | − | 0.256288i | \(-0.0824995\pi\) | |||||||
\(444\) | 3.67485 | − | 56.0864i | 0.174401 | − | 2.66174i | ||||
\(445\) | 4.29041 | + | 0.646676i | 0.203385 | + | 0.0306554i | ||||
\(446\) | 4.57558 | − | 20.0469i | 0.216660 | − | 0.949249i | ||||
\(447\) | 10.2508 | − | 13.1042i | 0.484849 | − | 0.619809i | ||||
\(448\) | 6.63687 | − | 5.08461i | 0.313563 | − | 0.240225i | ||||
\(449\) | −3.12342 | + | 13.6846i | −0.147403 | + | 0.645815i | 0.846198 | + | 0.532869i | \(0.178886\pi\) |
−0.993601 | + | 0.112946i | \(0.963971\pi\) | |||||||
\(450\) | 13.5396 | + | 32.6834i | 0.638262 | + | 1.54071i | ||||
\(451\) | −24.6621 | − | 7.60724i | −1.16129 | − | 0.358211i | ||||
\(452\) | 51.6989 | − | 24.8969i | 2.43171 | − | 1.17105i | ||||
\(453\) | −5.33514 | + | 24.4279i | −0.250667 | + | 1.14772i | ||||
\(454\) | −4.28419 | + | 57.1685i | −0.201067 | + | 2.68305i | ||||
\(455\) | 4.67287 | − | 4.84358i | 0.219067 | − | 0.227070i | ||||
\(456\) | 46.1054 | − | 43.5907i | 2.15908 | − | 2.04132i | ||||
\(457\) | −11.3199 | − | 3.49172i | −0.529522 | − | 0.163336i | 0.0184543 | − | 0.999830i | \(-0.494125\pi\) |
−0.547976 | + | 0.836494i | \(0.684602\pi\) | |||||||
\(458\) | 5.98871 | − | 0.902653i | 0.279834 | − | 0.0421782i | ||||
\(459\) | −0.868025 | + | 18.5803i | −0.0405160 | + | 0.867255i | ||||
\(460\) | 2.74674 | + | 4.75749i | 0.128067 | + | 0.221819i | ||||
\(461\) | −12.3793 | + | 31.5420i | −0.576563 | + | 1.46906i | 0.283551 | + | 0.958957i | \(0.408487\pi\) |
−0.860114 | + | 0.510101i | \(0.829608\pi\) | |||||||
\(462\) | 52.5511 | − | 20.0152i | 2.44490 | − | 0.931191i | ||||
\(463\) | 5.51724 | + | 14.0577i | 0.256408 | + | 0.653317i | 0.999881 | − | 0.0154496i | \(-0.00491796\pi\) |
−0.743473 | + | 0.668766i | \(0.766823\pi\) | |||||||
\(464\) | 21.4835 | − | 26.9395i | 0.997347 | − | 1.25063i | ||||
\(465\) | 2.43834 | − | 2.30535i | 0.113075 | − | 0.106908i | ||||
\(466\) | 10.6735 | + | 5.14010i | 0.494442 | + | 0.238111i | ||||
\(467\) | −7.50996 | − | 1.13194i | −0.347519 | − | 0.0523801i | −0.0270366 | − | 0.999634i | \(-0.508607\pi\) |
−0.320483 | + | 0.947254i | \(0.603845\pi\) | |||||||
\(468\) | −34.7249 | − | 41.9075i | −1.60516 | − | 1.93718i | ||||
\(469\) | −3.78854 | + | 0.209858i | −0.174939 | + | 0.00969036i | ||||
\(470\) | −4.34866 | + | 11.0802i | −0.200589 | + | 0.511092i | ||||
\(471\) | −0.839843 | + | 2.20030i | −0.0386979 | + | 0.101385i | ||||
\(472\) | −13.2294 | − | 22.9140i | −0.608932 | − | 1.05470i | ||||
\(473\) | −22.0031 | + | 56.0631i | −1.01171 | + | 2.57778i | ||||
\(474\) | −19.1494 | − | 2.70301i | −0.879560 | − | 0.124153i | ||||
\(475\) | 1.84403 | + | 24.6069i | 0.0846099 | + | 1.12904i | ||||
\(476\) | −19.8233 | + | 39.1935i | −0.908601 | + | 1.79643i | ||||
\(477\) | 26.3019 | + | 7.57618i | 1.20428 | + | 0.346889i | ||||
\(478\) | −18.3086 | + | 46.6495i | −0.837416 | + | 2.13370i | ||||
\(479\) | 24.4356 | − | 11.7676i | 1.11649 | − | 0.537674i | 0.217684 | − | 0.976019i | \(-0.430150\pi\) |
0.898806 | + | 0.438346i | \(0.144435\pi\) | |||||||
\(480\) | −8.49417 | − | 1.19899i | −0.387704 | − | 0.0547259i | ||||
\(481\) | −24.6630 | − | 11.8771i | −1.12454 | − | 0.541549i | ||||
\(482\) | 54.2715 | + | 50.3566i | 2.47200 | + | 2.29368i | ||||
\(483\) | −6.47393 | − | 5.27054i | −0.294574 | − | 0.239818i | ||||
\(484\) | −39.7290 | + | 36.8631i | −1.80586 | + | 1.67560i | ||||
\(485\) | −10.4776 | + | 3.23192i | −0.475765 | + | 0.146754i | ||||
\(486\) | 32.0864 | − | 24.1531i | 1.45547 | − | 1.09561i | ||||
\(487\) | −21.1320 | − | 19.6077i | −0.957584 | − | 0.888508i | 0.0362551 | − | 0.999343i | \(-0.488457\pi\) |
−0.993839 | + | 0.110835i | \(0.964648\pi\) | |||||||
\(488\) | 4.02211 | − | 53.6713i | 0.182072 | − | 2.42959i | ||||
\(489\) | 8.74806 | − | 22.9190i | 0.395601 | − | 1.03643i | ||||
\(490\) | 3.85628 | + | 11.0748i | 0.174209 | + | 0.500310i | ||||
\(491\) | −11.7900 | + | 20.4210i | −0.532077 | + | 0.921585i | 0.467221 | + | 0.884140i | \(0.345255\pi\) |
−0.999299 | + | 0.0374446i | \(0.988078\pi\) | |||||||
\(492\) | −39.3886 | − | 18.5158i | −1.77578 | − | 0.834758i | ||||
\(493\) | −3.33443 | + | 14.6091i | −0.150175 | + | 0.657961i | ||||
\(494\) | −19.8504 | − | 50.5780i | −0.893112 | − | 2.27561i | ||||
\(495\) | −8.44560 | − | 3.87389i | −0.379602 | − | 0.174118i | ||||
\(496\) | −5.45712 | − | 23.9092i | −0.245032 | − | 1.07356i | ||||
\(497\) | −9.41601 | − | 20.5672i | −0.422366 | − | 0.922565i | ||||
\(498\) | 8.81148 | − | 4.34558i | 0.394852 | − | 0.194730i | ||||
\(499\) | −28.7910 | − | 13.8650i | −1.28886 | − | 0.620684i | −0.341210 | − | 0.939987i | \(-0.610837\pi\) |
−0.947653 | + | 0.319303i | \(0.896551\pi\) | |||||||
\(500\) | 21.1710 | − | 19.6438i | 0.946797 | − | 0.878499i | ||||
\(501\) | −7.81200 | + | 5.43407i | −0.349015 | + | 0.242777i | ||||
\(502\) | 13.5712 | − | 2.04553i | 0.605712 | − | 0.0912964i | ||||
\(503\) | 25.1960 | − | 12.1338i | 1.12344 | − | 0.541018i | 0.222484 | − | 0.974936i | \(-0.428584\pi\) |
0.900952 | + | 0.433918i | \(0.142869\pi\) | |||||||
\(504\) | 52.5904 | − | 11.9636i | 2.34256 | − | 0.532902i | ||||
\(505\) | −5.47249 | − | 2.63541i | −0.243523 | − | 0.117274i | ||||
\(506\) | 21.3613 | + | 6.58909i | 0.949625 | + | 0.292921i | ||||
\(507\) | −3.80103 | + | 1.21159i | −0.168810 | + | 0.0538086i | ||||
\(508\) | −37.4444 | − | 64.8556i | −1.66133 | − | 2.87750i | ||||
\(509\) | 21.4741 | 0.951822 | 0.475911 | − | 0.879493i | \(-0.342118\pi\) | ||||
0.475911 | + | 0.879493i | \(0.342118\pi\) | |||||||
\(510\) | 9.89651 | − | 3.15454i | 0.438225 | − | 0.139685i | ||||
\(511\) | 1.98103 | + | 15.1367i | 0.0876357 | + | 0.669609i | ||||
\(512\) | 30.6572 | − | 38.4429i | 1.35487 | − | 1.69895i | ||||
\(513\) | 26.5257 | − | 9.00621i | 1.17114 | − | 0.397634i | ||||
\(514\) | −16.2671 | + | 11.0907i | −0.717510 | + | 0.489190i | ||||
\(515\) | −6.15389 | − | 2.96356i | −0.271173 | − | 0.130590i | ||||
\(516\) | −49.9560 | + | 88.4300i | −2.19919 | + | 3.89292i | ||||
\(517\) | 12.3638 | + | 31.5024i | 0.543758 | + | 1.38547i | ||||
\(518\) | 37.8631 | − | 29.0075i | 1.66361 | − | 1.27451i | ||||
\(519\) | −25.2949 | − | 23.0329i | −1.11032 | − | 1.01103i | ||||
\(520\) | −8.64257 | + | 14.9694i | −0.379002 | + | 0.656450i | ||||
\(521\) | 7.69446 | − | 13.3272i | 0.337100 | − | 0.583875i | −0.646786 | − | 0.762672i | \(-0.723887\pi\) |
0.983886 | + | 0.178797i | \(0.0572205\pi\) | |||||||
\(522\) | 28.8818 | − | 14.5818i | 1.26412 | − | 0.638229i | ||||
\(523\) | −28.0248 | + | 26.0032i | −1.22544 | + | 1.13704i | −0.239329 | + | 0.970938i | \(0.576928\pi\) |
−0.986109 | + | 0.166102i | \(0.946882\pi\) | |||||||
\(524\) | 5.09681 | + | 68.0122i | 0.222655 | + | 2.97113i | ||||
\(525\) | −9.29103 | + | 18.8052i | −0.405494 | + | 0.820726i | ||||
\(526\) | −3.78557 | + | 50.5150i | −0.165059 | + | 2.20256i | ||||
\(527\) | 6.64963 | + | 8.33837i | 0.289662 | + | 0.363225i | ||||
\(528\) | −55.7465 | + | 38.7776i | −2.42605 | + | 1.68758i | ||||
\(529\) | 4.37953 | + | 19.1880i | 0.190414 | + | 0.834259i | ||||
\(530\) | −1.14224 | − | 15.2422i | −0.0496159 | − | 0.662078i | ||||
\(531\) | −1.09114 | − | 11.6304i | −0.0473515 | − | 0.504718i | ||||
\(532\) | 65.8530 | + | 6.22597i | 2.85509 | + | 0.269930i | ||||
\(533\) | −15.5385 | + | 14.4176i | −0.673046 | + | 0.624495i | ||||
\(534\) | 26.7041 | − | 13.1697i | 1.15560 | − | 0.569911i | ||||
\(535\) | −1.84367 | − | 0.277888i | −0.0797087 | − | 0.0120142i | ||||
\(536\) | 9.31203 | − | 2.87238i | 0.402218 | − | 0.124068i | ||||
\(537\) | −26.1989 | + | 18.2241i | −1.13057 | + | 0.786429i | ||||
\(538\) | −27.0801 | − | 46.9041i | −1.16751 | − | 2.02218i | ||||
\(539\) | 29.4538 | + | 15.6244i | 1.26866 | + | 0.672989i | ||||
\(540\) | −13.1897 | − | 8.45943i | −0.567594 | − | 0.364036i | ||||
\(541\) | −5.55963 | − | 3.79049i | −0.239027 | − | 0.162966i | 0.437882 | − | 0.899032i | \(-0.355729\pi\) |
−0.676909 | + | 0.736066i | \(0.736681\pi\) | |||||||
\(542\) | −1.17539 | + | 5.14974i | −0.0504875 | + | 0.221200i | ||||
\(543\) | 29.8265 | − | 0.279545i | 1.27998 | − | 0.0119964i | ||||
\(544\) | 6.06697 | − | 26.5811i | 0.260119 | − | 1.13966i | ||||
\(545\) | 7.39038 | + | 2.27963i | 0.316569 | + | 0.0976486i | ||||
\(546\) | 7.34408 | − | 45.5977i | 0.314297 | − | 1.95140i | ||||
\(547\) | −21.6335 | + | 6.67306i | −0.924983 | + | 0.285319i | −0.720423 | − | 0.693535i | \(-0.756052\pi\) |
−0.204559 | + | 0.978854i | \(0.565576\pi\) | |||||||
\(548\) | −1.44257 | − | 19.2497i | −0.0616233 | − | 0.822306i | ||||
\(549\) | 11.4933 | − | 20.7978i | 0.490523 | − | 0.887627i | ||||
\(550\) | 4.19738 | − | 56.0102i | 0.178977 | − | 2.38828i | ||||
\(551\) | 22.3154 | − | 3.36351i | 0.950668 | − | 0.143290i | ||||
\(552\) | 19.4033 | + | 9.12113i | 0.825861 | + | 0.388221i | ||||
\(553\) | −6.27362 | − | 9.59786i | −0.266781 | − | 0.408142i | ||||
\(554\) | 18.1367 | − | 12.3654i | 0.770554 | − | 0.525354i | ||||
\(555\) | −7.80384 | − | 1.10154i | −0.331255 | − | 0.0467579i | ||||
\(556\) | 51.1497 | + | 64.1397i | 2.16923 | + | 2.72013i | ||||
\(557\) | −8.63112 | + | 14.9495i | −0.365712 | + | 0.633432i | −0.988890 | − | 0.148648i | \(-0.952508\pi\) |
0.623178 | + | 0.782080i | \(0.285841\pi\) | |||||||
\(558\) | 4.70241 | − | 22.5422i | 0.199069 | − | 0.954289i | ||||
\(559\) | 30.8406 | + | 38.6729i | 1.30442 | + | 1.63569i | ||||
\(560\) | −7.74817 | − | 11.8537i | −0.327420 | − | 0.500912i | ||||
\(561\) | 14.5256 | − | 25.7126i | 0.613270 | − | 1.08559i | ||||
\(562\) | −4.25296 | + | 5.33304i | −0.179400 | + | 0.224961i | ||||
\(563\) | −1.04553 | − | 13.9517i | −0.0440639 | − | 0.587992i | −0.974913 | − | 0.222588i | \(-0.928550\pi\) |
0.930849 | − | 0.365405i | \(-0.119069\pi\) | |||||||
\(564\) | 13.2203 | + | 55.5181i | 0.556673 | + | 2.33773i | ||||
\(565\) | −2.93951 | − | 7.48974i | −0.123666 | − | 0.315096i | ||||
\(566\) | −7.30171 | + | 9.15606i | −0.306914 | + | 0.384858i | ||||
\(567\) | 23.3065 | + | 4.87933i | 0.978780 | + | 0.204913i | ||||
\(568\) | 36.2216 | + | 45.4205i | 1.51983 | + | 1.90580i | ||||
\(569\) | 5.52354 | − | 9.56704i | 0.231559 | − | 0.401071i | −0.726708 | − | 0.686946i | \(-0.758951\pi\) |
0.958267 | + | 0.285875i | \(0.0922841\pi\) | |||||||
\(570\) | −9.86759 | − | 12.1384i | −0.413308 | − | 0.508423i | ||||
\(571\) | 13.2443 | − | 33.7459i | 0.554256 | − | 1.41222i | −0.329447 | − | 0.944174i | \(-0.606862\pi\) |
0.883703 | − | 0.468048i | \(-0.155042\pi\) | |||||||
\(572\) | 19.2279 | + | 84.2429i | 0.803958 | + | 3.52237i | ||||
\(573\) | −10.8852 | − | 3.24623i | −0.454735 | − | 0.135613i | ||||
\(574\) | −10.1977 | − | 35.4987i | −0.425642 | − | 1.48169i | ||||
\(575\) | −7.51247 | + | 3.61782i | −0.313292 | + | 0.150873i | ||||
\(576\) | −8.46272 | + | 4.27265i | −0.352613 | + | 0.178027i | ||||
\(577\) | 2.58502 | − | 34.4947i | 0.107616 | − | 1.43603i | −0.638194 | − | 0.769875i | \(-0.720318\pi\) |
0.745810 | − | 0.666158i | \(-0.232063\pi\) | |||||||
\(578\) | −2.39971 | − | 10.5138i | −0.0998147 | − | 0.437317i | ||||
\(579\) | 3.55970 | − | 3.36555i | 0.147936 | − | 0.139867i | ||||
\(580\) | −9.25362 | − | 8.58610i | −0.384236 | − | 0.356519i | ||||
\(581\) | 5.38006 | + | 2.23331i | 0.223202 | + | 0.0926532i | ||||
\(582\) | −46.3607 | + | 59.2655i | −1.92171 | + | 2.45663i | ||||
\(583\) | −31.8562 | − | 29.5582i | −1.31935 | − | 1.22418i | ||||
\(584\) | −14.3239 | − | 36.4967i | −0.592727 | − | 1.51025i | ||||
\(585\) | −6.22364 | + | 4.41632i | −0.257316 | + | 0.182592i | ||||
\(586\) | −3.11883 | − | 2.12638i | −0.128838 | − | 0.0878400i | ||||
\(587\) | 2.27623 | + | 3.94254i | 0.0939499 | + | 0.162726i | 0.909170 | − | 0.416425i | \(-0.136717\pi\) |
−0.815220 | + | 0.579152i | \(0.803384\pi\) | |||||||
\(588\) | 45.5003 | + | 33.0325i | 1.87640 | + | 1.36224i | ||||
\(589\) | 8.03100 | − | 13.9101i | 0.330912 | − | 0.573156i | ||||
\(590\) | −5.87729 | + | 2.83035i | −0.241964 | + | 0.116524i | ||||
\(591\) | 35.0612 | − | 17.2912i | 1.44223 | − | 0.711266i | ||||
\(592\) | −35.9123 | + | 45.0326i | −1.47599 | + | 1.85083i | ||||
\(593\) | 12.3480 | − | 3.80885i | 0.507071 | − | 0.156411i | −0.0306555 | − | 0.999530i | \(-0.509759\pi\) |
0.537727 | + | 0.843119i | \(0.319283\pi\) | |||||||
\(594\) | −62.7588 | + | 11.2722i | −2.57502 | + | 0.462502i | ||||
\(595\) | 5.27255 | + | 3.18251i | 0.216154 | + | 0.130470i | ||||
\(596\) | −42.5667 | + | 13.1301i | −1.74360 | + | 0.537829i | ||||
\(597\) | 0.403891 | + | 0.120450i | 0.0165302 | + | 0.00492971i | ||||
\(598\) | 13.4588 | − | 12.4879i | 0.550371 | − | 0.510670i | ||||
\(599\) | −4.10884 | − | 2.80136i | −0.167883 | − | 0.114460i | 0.476464 | − | 0.879194i | \(-0.341918\pi\) |
−0.644347 | + | 0.764733i | \(0.722871\pi\) | |||||||
\(600\) | 11.4945 | − | 52.6297i | 0.469262 | − | 2.14860i | ||||
\(601\) | −30.8818 | − | 21.0548i | −1.25969 | − | 0.858845i | −0.265257 | − | 0.964178i | \(-0.585457\pi\) |
−0.994437 | + | 0.105333i | \(0.966409\pi\) | |||||||
\(602\) | −84.3854 | + | 17.5399i | −3.43929 | + | 0.714871i | ||||
\(603\) | 4.26560 | + | 0.561385i | 0.173709 | + | 0.0228614i | ||||
\(604\) | 49.0751 | − | 45.5350i | 1.99684 | − | 1.85279i | ||||
\(605\) | 4.73813 | + | 5.94142i | 0.192632 | + | 0.241553i | ||||
\(606\) | −41.1565 | + | 6.59841i | −1.67187 | + | 0.268042i | ||||
\(607\) | 17.6429 | 0.716105 | 0.358053 | − | 0.933701i | \(-0.383441\pi\) | ||||
0.358053 | + | 0.933701i | \(0.383441\pi\) | |||||||
\(608\) | −40.6027 | + | 6.11987i | −1.64666 | + | 0.248194i | ||||
\(609\) | 17.7853 | + | 7.18817i | 0.720697 | + | 0.291279i | ||||
\(610\) | −13.1213 | − | 1.97772i | −0.531267 | − | 0.0800756i | ||||
\(611\) | 27.4841 | + | 4.14257i | 1.11189 | + | 0.167590i | ||||
\(612\) | 30.3159 | − | 39.5121i | 1.22545 | − | 1.59718i | ||||
\(613\) | −2.33985 | + | 1.59528i | −0.0945057 | + | 0.0644329i | −0.609651 | − | 0.792670i | \(-0.708690\pi\) |
0.515145 | + | 0.857103i | \(0.327738\pi\) | |||||||
\(614\) | 11.5794 | + | 29.5038i | 0.467307 | + | 1.19068i | ||||
\(615\) | −3.00173 | + | 5.31354i | −0.121042 | + | 0.214263i | ||||
\(616\) | −83.0965 | − | 20.6756i | −3.34805 | − | 0.833046i | ||||
\(617\) | 10.0289 | − | 1.51161i | 0.403748 | − | 0.0608552i | 0.0559708 | − | 0.998432i | \(-0.482175\pi\) |
0.347777 | + | 0.937577i | \(0.386937\pi\) | |||||||
\(618\) | −46.2811 | + | 7.42000i | −1.86170 | + | 0.298476i | ||||
\(619\) | −28.1497 | −1.13143 | −0.565716 | − | 0.824600i | \(-0.691400\pi\) | ||||
−0.565716 | + | 0.824600i | \(0.691400\pi\) | |||||||
\(620\) | −8.88415 | + | 1.33907i | −0.356796 | + | 0.0537783i | ||||
\(621\) | 6.10757 | + | 7.23184i | 0.245088 | + | 0.290204i | ||||
\(622\) | 29.6603 | + | 14.2837i | 1.18927 | + | 0.572723i | ||||
\(623\) | 16.3048 | + | 6.76827i | 0.653239 | + | 0.271165i | ||||
\(624\) | 4.68897 | + | 55.5754i | 0.187709 | + | 2.22480i | ||||
\(625\) | 11.7442 | + | 14.7267i | 0.469767 | + | 0.589070i | ||||
\(626\) | 61.8292 | + | 42.1544i | 2.47119 | + | 1.68483i | ||||
\(627\) | −44.0391 | − | 6.21629i | −1.75875 | − | 0.248255i | ||||
\(628\) | 5.21007 | − | 3.55216i | 0.207904 | − | 0.141747i | ||||
\(629\) | 5.57391 | − | 24.4209i | 0.222246 | − | 0.973724i | ||||
\(630\) | −1.97239 | − | 13.1501i | −0.0785817 | − | 0.523912i | ||||
\(631\) | 6.60324 | + | 28.9307i | 0.262871 | + | 1.15171i | 0.918121 | + | 0.396300i | \(0.129706\pi\) |
−0.655250 | + | 0.755412i | \(0.727437\pi\) | |||||||
\(632\) | 21.5875 | + | 20.0303i | 0.858706 | + | 0.796763i | ||||
\(633\) | −16.2834 | + | 28.8242i | −0.647206 | + | 1.14566i | ||||
\(634\) | −21.4743 | + | 6.62394i | −0.852852 | + | 0.263070i | ||||
\(635\) | −9.46088 | + | 4.55612i | −0.375444 | + | 0.180804i | ||||
\(636\) | −46.2276 | − | 56.8660i | −1.83305 | − | 2.25489i | ||||
\(637\) | 23.2086 | − | 14.5335i | 0.919558 | − | 0.575840i | ||||
\(638\) | −51.3681 | −2.03368 | ||||||||
\(639\) | 6.17508 | + | 24.8944i | 0.244283 | + | 0.984807i | ||||
\(640\) | −3.38044 | − | 3.13659i | −0.133624 | − | 0.123985i | ||||
\(641\) | −9.24449 | + | 11.5922i | −0.365135 | + | 0.457865i | −0.930131 | − | 0.367229i | \(-0.880307\pi\) |
0.564995 | + | 0.825094i | \(0.308878\pi\) | |||||||
\(642\) | −11.4752 | + | 5.65927i | −0.452891 | + | 0.223354i | ||||
\(643\) | 32.4615 | + | 10.0130i | 1.28015 | + | 0.394875i | 0.858936 | − | 0.512084i | \(-0.171126\pi\) |
0.421219 | + | 0.906959i | \(0.361602\pi\) | |||||||
\(644\) | 6.17132 | + | 21.4828i | 0.243184 | + | 0.846539i | ||||
\(645\) | 11.8414 | + | 7.91178i | 0.466254 | + | 0.311526i | ||||
\(646\) | 41.0798 | − | 28.0077i | 1.61626 | − | 1.10195i | ||||
\(647\) | 5.89441 | + | 1.81818i | 0.231733 | + | 0.0714802i | 0.408447 | − | 0.912782i | \(-0.366071\pi\) |
−0.176714 | + | 0.984262i | \(0.556547\pi\) | |||||||
\(648\) | −61.1124 | + | 2.29208i | −2.40072 | + | 0.0900414i | ||||
\(649\) | −6.77581 | + | 17.2645i | −0.265974 | + | 0.677690i | ||||
\(650\) | −38.1150 | − | 25.9864i | −1.49499 | − | 1.01927i | ||||
\(651\) | 11.8923 | − | 6.70691i | 0.466095 | − | 0.262865i | ||||
\(652\) | −54.2696 | + | 37.0004i | −2.12536 | + | 1.44905i | ||||
\(653\) | 2.63518 | + | 11.5455i | 0.103123 | + | 0.451809i | 0.999955 | + | 0.00943994i | \(0.00300487\pi\) |
−0.896833 | + | 0.442369i | \(0.854138\pi\) | |||||||
\(654\) | 50.5667 | − | 16.1183i | 1.97732 | − | 0.630275i | ||||
\(655\) | 9.56330 | 0.373669 | ||||||||
\(656\) | 22.3008 | + | 38.6261i | 0.870699 | + | 1.50810i | ||||
\(657\) | 0.969803 | − | 17.2826i | 0.0378356 | − | 0.674259i | ||||
\(658\) | −28.0555 | + | 39.4766i | −1.09372 | + | 1.53896i | ||||
\(659\) | 48.8371 | + | 7.36101i | 1.90242 | + | 0.286744i | 0.991931 | − | 0.126780i | \(-0.0404641\pi\) |
0.910493 | + | 0.413524i | \(0.135702\pi\) | |||||||
\(660\) | 12.6404 | + | 21.4275i | 0.492027 | + | 0.834064i | ||||
\(661\) | 0.766650 | + | 10.2302i | 0.0298192 | + | 0.397910i | 0.992065 | + | 0.125727i | \(0.0401264\pi\) |
−0.962246 | + | 0.272183i | \(0.912255\pi\) | |||||||
\(662\) | −1.86219 | − | 24.8492i | −0.0723761 | − | 0.965792i | ||||
\(663\) | −12.3237 | − | 20.8907i | −0.478614 | − | 0.811328i | ||||
\(664\) | −14.7936 | − | 2.22978i | −0.574104 | − | 0.0865322i | ||||
\(665\) | 1.56060 | − | 9.14274i | 0.0605174 | − | 0.354540i | ||||
\(666\) | −48.2794 | + | 24.3753i | −1.87079 | + | 0.944523i | ||||
\(667\) | 3.81288 | + | 6.60411i | 0.147635 | + | 0.255712i | ||||
\(668\) | 25.4790 | 0.985811 | ||||||||
\(669\) | −13.1711 | + | 4.19832i | −0.509223 | + | 0.162316i | ||||
\(670\) | −0.534624 | − | 2.34234i | −0.0206543 | − | 0.0904925i | ||||
\(671\) | −31.1714 | + | 21.2523i | −1.20336 | + | 0.820437i | ||||
\(672\) | −32.3602 | − | 13.0788i | −1.24832 | − | 0.504526i | ||||
\(673\) | 12.3871 | + | 8.44535i | 0.477486 | + | 0.325545i | 0.778034 | − | 0.628222i | \(-0.216217\pi\) |
−0.300548 | + | 0.953767i | \(0.597170\pi\) | |||||||
\(674\) | −9.08255 | + | 23.1420i | −0.349847 | + | 0.891395i | ||||
\(675\) | 14.3002 | − | 19.0043i | 0.550416 | − | 0.731476i | ||||
\(676\) | 10.2070 | + | 3.14845i | 0.392578 | + | 0.121094i | ||||
\(677\) | 18.2335 | − | 12.4314i | 0.700771 | − | 0.477778i | −0.159773 | − | 0.987154i | \(-0.551076\pi\) |
0.860544 | + | 0.509376i | \(0.170124\pi\) | |||||||
\(678\) | −45.9096 | − | 30.6744i | −1.76315 | − | 1.17804i | ||||
\(679\) | −44.5446 | + | 2.46746i | −1.70947 | + | 0.0946923i | ||||
\(680\) | −15.1143 | − | 4.66215i | −0.579607 | − | 0.178785i | ||||
\(681\) | 34.5667 | − | 17.0474i | 1.32460 | − | 0.653256i | ||||
\(682\) | −22.7950 | + | 28.5840i | −0.872866 | + | 1.09454i | ||||
\(683\) | −12.8637 | − | 11.9357i | −0.492214 | − | 0.456708i | 0.394588 | − | 0.918858i | \(-0.370887\pi\) |
−0.886801 | + | 0.462151i | \(0.847078\pi\) | |||||||
\(684\) | −72.0729 | − | 20.7604i | −2.75578 | − | 0.793793i | ||||
\(685\) | −2.70673 | −0.103419 | ||||||||
\(686\) | 4.34596 | + | 47.5160i | 0.165930 | + | 1.81417i | ||||
\(687\) | −2.56835 | − | 3.15941i | −0.0979888 | − | 0.120539i | ||||
\(688\) | 93.7735 | − | 45.1590i | 3.57508 | − | 1.72167i | ||||
\(689\) | −34.1060 | + | 10.5203i | −1.29933 | + | 0.400791i | ||||
\(690\) | 2.59998 | − | 4.60238i | 0.0989795 | − | 0.175210i | ||||
\(691\) | 12.7572 | + | 11.8369i | 0.485306 | + | 0.450299i | 0.884481 | − | 0.466576i | \(-0.154513\pi\) |
−0.399174 | + | 0.916875i | \(0.630703\pi\) | |||||||
\(692\) | 20.3822 | + | 89.3001i | 0.774814 | + | 3.39468i | ||||
\(693\) | −29.5406 | − | 23.5926i | −1.12215 | − | 0.896209i | ||||
\(694\) | 17.3860 | − | 76.1731i | 0.659964 | − | 2.89149i | ||||
\(695\) | 9.50439 | − | 6.47998i | 0.360522 | − | 0.245800i | ||||
\(696\) | −48.7838 | − | 6.88602i | −1.84914 | − | 0.261014i | ||||
\(697\) | −16.0262 | − | 10.9265i | −0.607036 | − | 0.413870i | ||||
\(698\) | −11.6876 | − | 14.6558i | −0.442382 | − | 0.554729i | ||||
\(699\) | −0.669594 | − | 7.93628i | −0.0253264 | − | 0.300178i | ||||
\(700\) | 49.1734 | − | 27.1282i | 1.85858 | − | 1.02535i | ||||
\(701\) | 33.9658 | + | 16.3571i | 1.28287 | + | 0.617798i | 0.946126 | − | 0.323798i | \(-0.104960\pi\) |
0.336744 | + | 0.941596i | \(0.390674\pi\) | |||||||
\(702\) | −17.7546 | + | 49.2678i | −0.670105 | + | 1.85949i | ||||
\(703\) | −37.3029 | + | 5.62251i | −1.40691 | + | 0.212057i | ||||
\(704\) | 15.0515 | 0.567273 | ||||||||
\(705\) | 7.90141 | − | 1.26679i | 0.297584 | − | 0.0477101i | ||||
\(706\) | −17.9208 | + | 2.70112i | −0.674458 | + | 0.101658i | ||||
\(707\) | −19.0183 | − | 15.7818i | −0.715258 | − | 0.593536i | ||||
\(708\) | −15.3838 | + | 27.2318i | −0.578159 | + | 1.02343i | ||||
\(709\) | −10.3153 | − | 26.2829i | −0.387398 | − | 0.987074i | −0.982969 | − | 0.183771i | \(-0.941169\pi\) |
0.595571 | − | 0.803303i | \(-0.296926\pi\) | |||||||
\(710\) | 11.8343 | − | 8.06847i | 0.444132 | − | 0.302804i | ||||
\(711\) | 4.97603 | + | 12.0117i | 0.186616 | + | 0.450474i | ||||
\(712\) | −44.8336 | − | 6.75758i | −1.68021 | − | 0.253251i | ||||
\(713\) | 5.36688 | + | 0.808928i | 0.200991 | + | 0.0302946i | ||||
\(714\) | 42.1741 | − | 2.73284i | 1.57833 | − | 0.102274i | ||||
\(715\) | 11.9808 | − | 1.80582i | 0.448058 | − | 0.0675339i | ||||
\(716\) | 85.4483 | 3.19335 | ||||||||
\(717\) | 33.2663 | − | 5.33340i | 1.24235 | − | 0.199180i | ||||
\(718\) | −7.69612 | − | 9.65063i | −0.287217 | − | 0.360158i | ||||
\(719\) | −7.41770 | + | 6.88262i | −0.276634 | + | 0.256679i | −0.806272 | − | 0.591545i | \(-0.798518\pi\) |
0.529638 | + | 0.848224i | \(0.322328\pi\) | |||||||
\(720\) | 6.14560 | + | 14.8349i | 0.229033 | + | 0.552865i | ||||
\(721\) | −21.3864 | − | 17.7469i | −0.796471 | − | 0.660928i | ||||
\(722\) | −21.4225 | − | 14.6056i | −0.797262 | − | 0.543564i | ||||
\(723\) | 10.6203 | − | 48.6270i | 0.394974 | − | 1.80846i | ||||
\(724\) | −65.9855 | − | 44.9882i | −2.45233 | − | 1.67197i | ||||
\(725\) | 14.0455 | − | 13.0323i | 0.521637 | − | 0.484008i | ||||
\(726\) | 49.9748 | + | 14.9037i | 1.85474 | + | 0.553128i | ||||
\(727\) | 38.8474 | − | 11.9828i | 1.44077 | − | 0.444419i | 0.526728 | − | 0.850034i | \(-0.323419\pi\) |
0.914044 | + | 0.405615i | \(0.132943\pi\) | |||||||
\(728\) | −48.8301 | + | 50.6140i | −1.80977 | + | 1.87588i | ||||
\(729\) | −24.9461 | − | 10.3291i | −0.923930 | − | 0.382561i | ||||
\(730\) | −9.23685 | + | 2.84919i | −0.341871 | + | 0.105453i | ||||
\(731\) | −28.2212 | + | 35.3882i | −1.04380 | + | 1.30888i | ||||
\(732\) | −57.0605 | + | 28.1407i | −2.10902 | + | 1.04011i | ||||
\(733\) | 4.40547 | − | 2.12156i | 0.162720 | − | 0.0783617i | −0.350751 | − | 0.936469i | \(-0.614074\pi\) |
0.513471 | + | 0.858107i | \(0.328359\pi\) | |||||||
\(734\) | 35.2475 | − | 61.0504i | 1.30101 | − | 2.25341i | ||||
\(735\) | 5.09559 | − | 6.01601i | 0.187954 | − | 0.221904i | ||||
\(736\) | −6.93751 | − | 12.0161i | −0.255720 | − | 0.442920i | ||||
\(737\) | −5.64389 | − | 3.84794i | −0.207895 | − | 0.141741i | ||||
\(738\) | 3.91189 | + | 41.6966i | 0.143999 | + | 1.53487i | ||||
\(739\) | 5.62893 | + | 14.3423i | 0.207063 | + | 0.527589i | 0.996246 | − | 0.0865698i | \(-0.0275906\pi\) |
−0.789182 | + | 0.614159i | \(0.789495\pi\) | |||||||
\(740\) | 15.4685 | + | 14.3527i | 0.568635 | + | 0.527616i | ||||
\(741\) | −22.5064 | + | 28.7712i | −0.826792 | + | 1.05694i | ||||
\(742\) | 10.4641 | − | 61.3039i | 0.384150 | − | 2.25054i | ||||
\(743\) | 15.4585 | + | 14.3434i | 0.567117 | + | 0.526207i | 0.910784 | − | 0.412884i | \(-0.135479\pi\) |
−0.343667 | + | 0.939092i | \(0.611669\pi\) | |||||||
\(744\) | −25.4800 | + | 24.0902i | −0.934141 | + | 0.883191i | ||||
\(745\) | 1.38989 | + | 6.08952i | 0.0509218 | + | 0.223103i | ||||
\(746\) | −0.477996 | + | 6.37841i | −0.0175007 | + | 0.233530i | ||||
\(747\) | −5.52619 | − | 3.61786i | −0.202193 | − | 0.132371i | ||||
\(748\) | −71.2397 | + | 34.3072i | −2.60478 | + | 1.25440i | ||||
\(749\) | −7.00648 | − | 2.90845i | −0.256011 | − | 0.106272i | ||||
\(750\) | −26.6309 | − | 7.94198i | −0.972422 | − | 0.290000i | ||||
\(751\) | −4.65618 | − | 20.4000i | −0.169906 | − | 0.744408i | −0.986035 | − | 0.166538i | \(-0.946741\pi\) |
0.816129 | − | 0.577870i | \(-0.196116\pi\) | |||||||
\(752\) | 21.3666 | − | 54.4412i | 0.779160 | − | 1.98527i | ||||
\(753\) | −5.82022 | − | 7.15963i | −0.212101 | − | 0.260911i | ||||
\(754\) | −21.0946 | + | 36.5369i | −0.768220 | + | 1.33060i | ||||
\(755\) | −5.85275 | − | 7.33912i | −0.213004 | − | 0.267098i | ||||
\(756\) | −43.7671 | − | 46.3587i | −1.59179 | − | 1.68605i | ||||
\(757\) | −4.29547 | + | 5.38635i | −0.156122 | + | 0.195770i | −0.853740 | − | 0.520699i | \(-0.825671\pi\) |
0.697619 | + | 0.716469i | \(0.254243\pi\) | |||||||
\(758\) | −25.4448 | − | 64.8323i | −0.924198 | − | 2.35482i | ||||
\(759\) | −3.48138 | − | 14.6200i | −0.126366 | − | 0.530671i | ||||
\(760\) | 1.78013 | + | 23.7542i | 0.0645721 | + | 0.861655i | ||||
\(761\) | 22.7892 | − | 28.5767i | 0.826106 | − | 1.03590i | −0.172597 | − | 0.984993i | \(-0.555216\pi\) |
0.998703 | − | 0.0509120i | \(-0.0162128\pi\) | |||||||
\(762\) | −35.4438 | + | 62.7411i | −1.28399 | + | 2.27287i | ||||
\(763\) | 26.9404 | + | 16.2612i | 0.975308 | + | 0.588696i | ||||
\(764\) | 18.9622 | + | 23.7778i | 0.686028 | + | 0.860252i | ||||
\(765\) | −5.20716 | − | 4.65299i | −0.188265 | − | 0.168229i | ||||
\(766\) | 37.8481 | − | 65.5549i | 1.36751 | − | 2.36859i | ||||
\(767\) | 9.49729 | + | 11.9092i | 0.342927 | + | 0.430017i | ||||
\(768\) | −42.1742 | − | 5.95306i | −1.52183 | − | 0.214813i | ||||
\(769\) | −29.9872 | + | 20.4449i | −1.08136 | + | 0.737262i | −0.966641 | − | 0.256135i | \(-0.917551\pi\) |
−0.114724 | + | 0.993397i | \(0.536598\pi\) | |||||||
\(770\) | −6.61424 | + | 20.0489i | −0.238361 | + | 0.722511i | ||||
\(771\) | 11.9787 | + | 5.63094i |