Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(3,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.x (of order \(84\), degree \(24\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(528\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 3.11 | ||
Character | \(\chi\) | \(=\) | 430.3 |
Dual form | 430.2.x.a.287.11 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.330279 | − | 0.943883i | −0.233543 | − | 0.667426i | ||||
\(3\) | 1.75583 | + | 2.04031i | 1.01373 | + | 1.17797i | 0.983955 | + | 0.178416i | \(0.0570974\pi\) |
0.0297727 | + | 0.999557i | \(0.490522\pi\) | |||||||
\(4\) | −0.781831 | + | 0.623490i | −0.390916 | + | 0.311745i | ||||
\(5\) | −2.23481 | + | 0.0750623i | −0.999436 | + | 0.0335689i | ||||
\(6\) | 1.34590 | − | 2.33117i | 0.549462 | − | 0.951695i | ||||
\(7\) | −0.285871 | + | 1.06689i | −0.108049 | + | 0.403245i | −0.998673 | − | 0.0514952i | \(-0.983601\pi\) |
0.890624 | + | 0.454740i | \(0.150268\pi\) | |||||||
\(8\) | 0.846724 | + | 0.532032i | 0.299362 | + | 0.188102i | ||||
\(9\) | −0.632803 | + | 4.19837i | −0.210934 | + | 1.39946i | ||||
\(10\) | 0.808960 | + | 2.08461i | 0.255816 | + | 0.659210i | ||||
\(11\) | −2.42655 | + | 3.04280i | −0.731632 | + | 0.917438i | −0.998933 | − | 0.0461750i | \(-0.985297\pi\) |
0.267301 | + | 0.963613i | \(0.413868\pi\) | |||||||
\(12\) | −2.64487 | − | 0.500437i | −0.763509 | − | 0.144464i | ||||
\(13\) | −1.86261 | − | 0.0696940i | −0.516595 | − | 0.0193296i | −0.222177 | − | 0.975006i | \(-0.571316\pi\) |
−0.294418 | + | 0.955677i | \(0.595126\pi\) | |||||||
\(14\) | 1.10143 | − | 0.0825410i | 0.294371 | − | 0.0220600i | ||||
\(15\) | −4.07709 | − | 4.42790i | −1.05270 | − | 1.14328i | ||||
\(16\) | 0.222521 | − | 0.974928i | 0.0556302 | − | 0.243732i | ||||
\(17\) | −1.62534 | + | 3.07530i | −0.394204 | + | 0.745870i | −0.998712 | − | 0.0507285i | \(-0.983846\pi\) |
0.604509 | + | 0.796599i | \(0.293369\pi\) | |||||||
\(18\) | 4.17177 | − | 0.789342i | 0.983297 | − | 0.186050i | ||||
\(19\) | 2.38127 | − | 0.358919i | 0.546301 | − | 0.0823417i | 0.129908 | − | 0.991526i | \(-0.458532\pi\) |
0.416394 | + | 0.909184i | \(0.363294\pi\) | |||||||
\(20\) | 1.70044 | − | 1.45207i | 0.380230 | − | 0.324692i | ||||
\(21\) | −2.67872 | + | 1.29000i | −0.584544 | + | 0.281502i | ||||
\(22\) | 3.67349 | + | 1.28541i | 0.783190 | + | 0.274050i | ||||
\(23\) | 0.337714 | − | 0.774048i | 0.0704182 | − | 0.161400i | −0.877794 | − | 0.479039i | \(-0.840985\pi\) |
0.948212 | + | 0.317639i | \(0.102890\pi\) | |||||||
\(24\) | 0.401192 | + | 2.66174i | 0.0818930 | + | 0.543325i | ||||
\(25\) | 4.98873 | − | 0.335500i | 0.997746 | − | 0.0670999i | ||||
\(26\) | 0.549398 | + | 1.78111i | 0.107746 | + | 0.349303i | ||||
\(27\) | −2.83943 | + | 1.78413i | −0.546448 | + | 0.343356i | ||||
\(28\) | −0.441690 | − | 1.01236i | −0.0834715 | − | 0.191319i | ||||
\(29\) | 0.253023 | + | 3.37635i | 0.0469852 | + | 0.626973i | 0.970140 | + | 0.242545i | \(0.0779823\pi\) |
−0.923155 | + | 0.384428i | \(0.874399\pi\) | |||||||
\(30\) | −2.83285 | + | 5.31074i | −0.517205 | + | 0.969604i | ||||
\(31\) | −3.84952 | + | 2.62456i | −0.691394 | + | 0.471384i | −0.857340 | − | 0.514751i | \(-0.827885\pi\) |
0.165946 | + | 0.986135i | \(0.446932\pi\) | |||||||
\(32\) | −0.993712 | + | 0.111964i | −0.175665 | + | 0.0197927i | ||||
\(33\) | −10.4689 | + | 0.391717i | −1.82239 | + | 0.0681892i | ||||
\(34\) | 3.43954 | + | 0.518428i | 0.589877 | + | 0.0889096i | ||||
\(35\) | 0.558785 | − | 2.40574i | 0.0944518 | − | 0.406645i | ||||
\(36\) | −2.12290 | − | 3.67696i | −0.353816 | − | 0.612827i | ||||
\(37\) | −0.572813 | + | 0.153485i | −0.0941699 | + | 0.0252327i | −0.305596 | − | 0.952161i | \(-0.598856\pi\) |
0.211426 | + | 0.977394i | \(0.432189\pi\) | |||||||
\(38\) | −1.12526 | − | 2.12910i | −0.182542 | − | 0.345386i | ||||
\(39\) | −3.12823 | − | 3.92267i | −0.500917 | − | 0.628130i | ||||
\(40\) | −1.93220 | − | 1.12543i | −0.305508 | − | 0.177946i | ||||
\(41\) | 3.38897 | + | 1.63204i | 0.529269 | + | 0.254882i | 0.679380 | − | 0.733787i | \(-0.262249\pi\) |
−0.150111 | + | 0.988669i | \(0.547963\pi\) | |||||||
\(42\) | 2.10234 | + | 2.10234i | 0.324398 | + | 0.324398i | ||||
\(43\) | 4.91012 | − | 4.34635i | 0.748786 | − | 0.662812i | ||||
\(44\) | − | 3.89188i | − | 0.586724i | ||||||
\(45\) | 1.09905 | − | 9.43005i | 0.163837 | − | 1.40575i | ||||
\(46\) | −0.842151 | − | 0.0631105i | −0.124168 | − | 0.00930513i | ||||
\(47\) | −8.20921 | − | 0.924956i | −1.19744 | − | 0.134919i | −0.509358 | − | 0.860555i | \(-0.670117\pi\) |
−0.688079 | + | 0.725636i | \(0.741546\pi\) | |||||||
\(48\) | 2.37986 | − | 1.25779i | 0.343504 | − | 0.181547i | ||||
\(49\) | 5.00565 | + | 2.89002i | 0.715093 | + | 0.412859i | ||||
\(50\) | −1.96435 | − | 4.59797i | −0.277800 | − | 0.650251i | ||||
\(51\) | −9.12839 | + | 2.08350i | −1.27823 | + | 0.291748i | ||||
\(52\) | 1.49970 | − | 1.10683i | 0.207971 | − | 0.153490i | ||||
\(53\) | 0.383002 | + | 10.2359i | 0.0526093 | + | 1.40601i | 0.736504 | + | 0.676433i | \(0.236475\pi\) |
−0.683895 | + | 0.729581i | \(0.739715\pi\) | |||||||
\(54\) | 2.62182 | + | 2.09083i | 0.356784 | + | 0.284526i | ||||
\(55\) | 5.19447 | − | 6.98221i | 0.700423 | − | 0.941481i | ||||
\(56\) | −0.809672 | + | 0.751266i | −0.108197 | + | 0.100392i | ||||
\(57\) | 4.91341 | + | 4.22833i | 0.650797 | + | 0.560056i | ||||
\(58\) | 3.10332 | − | 1.35396i | 0.407485 | − | 0.177784i | ||||
\(59\) | 7.37364 | + | 1.68299i | 0.959966 | + | 0.219106i | 0.673668 | − | 0.739034i | \(-0.264718\pi\) |
0.286299 | + | 0.958140i | \(0.407575\pi\) | |||||||
\(60\) | 5.94835 | + | 0.919850i | 0.767928 | + | 0.118752i | ||||
\(61\) | 5.12976 | − | 7.52397i | 0.656798 | − | 0.963346i | −0.342915 | − | 0.939367i | \(-0.611414\pi\) |
0.999712 | − | 0.0239789i | \(-0.00763346\pi\) | |||||||
\(62\) | 3.74869 | + | 2.76666i | 0.476084 | + | 0.351366i | ||||
\(63\) | −4.29829 | − | 1.87532i | −0.541533 | − | 0.236268i | ||||
\(64\) | 0.433884 | + | 0.900969i | 0.0542355 | + | 0.112621i | ||||
\(65\) | 4.16781 | + | 0.0159408i | 0.516953 | + | 0.00197721i | ||||
\(66\) | 3.82738 | + | 9.75200i | 0.471118 | + | 1.20039i | ||||
\(67\) | 9.26204 | − | 12.5496i | 1.13154 | − | 1.53318i | 0.321397 | − | 0.946945i | \(-0.395848\pi\) |
0.810141 | − | 0.586235i | \(-0.199390\pi\) | |||||||
\(68\) | −0.646674 | − | 3.41775i | −0.0784207 | − | 0.414463i | ||||
\(69\) | 2.17226 | − | 0.670055i | 0.261510 | − | 0.0806651i | ||||
\(70\) | −2.45530 | + | 0.267140i | −0.293464 | + | 0.0319293i | ||||
\(71\) | 1.34902 | + | 0.529452i | 0.160099 | + | 0.0628343i | 0.444037 | − | 0.896008i | \(-0.353546\pi\) |
−0.283938 | + | 0.958843i | \(0.591641\pi\) | |||||||
\(72\) | −2.76948 | + | 3.21819i | −0.326386 | + | 0.379267i | ||||
\(73\) | −0.571226 | + | 15.2663i | −0.0668570 | + | 1.78679i | 0.414285 | + | 0.910147i | \(0.364032\pi\) |
−0.481142 | + | 0.876643i | \(0.659778\pi\) | |||||||
\(74\) | 0.334060 | + | 0.489976i | 0.0388337 | + | 0.0569585i | ||||
\(75\) | 9.44388 | + | 9.58947i | 1.09048 | + | 1.10730i | ||||
\(76\) | −1.63797 | + | 1.76531i | −0.187888 | + | 0.202495i | ||||
\(77\) | −2.55264 | − | 3.45870i | −0.290900 | − | 0.394156i | ||||
\(78\) | −2.66936 | + | 4.24826i | −0.302245 | + | 0.481020i | ||||
\(79\) | 6.87792 | − | 3.97097i | 0.773827 | − | 0.446769i | −0.0604111 | − | 0.998174i | \(-0.519241\pi\) |
0.834238 | + | 0.551404i | \(0.185908\pi\) | |||||||
\(80\) | −0.424111 | + | 2.19548i | −0.0474171 | + | 0.245462i | ||||
\(81\) | 3.54577 | + | 1.09372i | 0.393974 | + | 0.121525i | ||||
\(82\) | 0.421152 | − | 3.73782i | 0.0465084 | − | 0.412774i | ||||
\(83\) | −4.53530 | + | 3.90294i | −0.497814 | + | 0.428404i | −0.865021 | − | 0.501736i | \(-0.832695\pi\) |
0.367207 | + | 0.930139i | \(0.380314\pi\) | |||||||
\(84\) | 1.29000 | − | 2.67872i | 0.140751 | − | 0.292272i | ||||
\(85\) | 3.40149 | − | 6.99471i | 0.368944 | − | 0.758683i | ||||
\(86\) | −5.72415 | − | 3.19907i | −0.617251 | − | 0.344965i | ||||
\(87\) | −6.44454 | + | 6.44454i | −0.690928 | + | 0.690928i | ||||
\(88\) | −3.67349 | + | 1.28541i | −0.391595 | + | 0.137025i | ||||
\(89\) | 1.27428 | − | 17.0041i | 0.135073 | − | 1.80243i | −0.359348 | − | 0.933204i | \(-0.617001\pi\) |
0.494421 | − | 0.869223i | \(-0.335380\pi\) | |||||||
\(90\) | −9.26386 | + | 2.07717i | −0.976497 | + | 0.218953i | ||||
\(91\) | 0.606822 | − | 1.96727i | 0.0636123 | − | 0.206226i | ||||
\(92\) | 0.218576 | + | 0.815736i | 0.0227881 | + | 0.0850464i | ||||
\(93\) | −12.1140 | − | 3.24594i | −1.25616 | − | 0.336588i | ||||
\(94\) | 1.83828 | + | 8.05403i | 0.189604 | + | 0.830710i | ||||
\(95\) | −5.29474 | + | 0.980859i | −0.543229 | + | 0.100634i | ||||
\(96\) | −1.97323 | − | 1.83089i | −0.201392 | − | 0.186864i | ||||
\(97\) | 0.363316 | + | 3.22452i | 0.0368891 | + | 0.327400i | 0.998580 | + | 0.0532652i | \(0.0169629\pi\) |
−0.961691 | + | 0.274135i | \(0.911609\pi\) | |||||||
\(98\) | 1.07457 | − | 5.67926i | 0.108548 | − | 0.573692i | ||||
\(99\) | −11.2393 | − | 12.1130i | −1.12959 | − | 1.21741i | ||||
\(100\) | −3.69117 | + | 3.37273i | −0.369117 | + | 0.337273i | ||||
\(101\) | 5.76573 | − | 14.6908i | 0.573711 | − | 1.46179i | −0.289613 | − | 0.957144i | \(-0.593527\pi\) |
0.863325 | − | 0.504649i | \(-0.168378\pi\) | |||||||
\(102\) | 4.98149 | + | 7.92800i | 0.493241 | + | 0.784989i | ||||
\(103\) | −9.00924 | − | 4.76152i | −0.887707 | − | 0.469167i | −0.0397364 | − | 0.999210i | \(-0.512652\pi\) |
−0.847971 | + | 0.530043i | \(0.822176\pi\) | |||||||
\(104\) | −1.54004 | − | 1.04998i | −0.151013 | − | 0.102959i | ||||
\(105\) | 5.88959 | − | 3.08398i | 0.574765 | − | 0.300966i | ||||
\(106\) | 9.53503 | − | 3.74222i | 0.926124 | − | 0.363477i | ||||
\(107\) | −4.43202 | + | 12.6660i | −0.428460 | + | 1.22447i | 0.504161 | + | 0.863610i | \(0.331802\pi\) |
−0.932621 | + | 0.360858i | \(0.882484\pi\) | |||||||
\(108\) | 1.10757 | − | 3.16524i | 0.106576 | − | 0.304576i | ||||
\(109\) | −0.533411 | + | 0.209348i | −0.0510915 | + | 0.0200519i | −0.390749 | − | 0.920497i | \(-0.627784\pi\) |
0.339658 | + | 0.940549i | \(0.389689\pi\) | |||||||
\(110\) | −8.30602 | − | 2.59690i | −0.791948 | − | 0.247605i | ||||
\(111\) | −1.31892 | − | 0.899223i | −0.125186 | − | 0.0853504i | ||||
\(112\) | 0.976525 | + | 0.516109i | 0.0922729 | + | 0.0487677i | ||||
\(113\) | −0.907137 | − | 1.44370i | −0.0853363 | − | 0.135812i | 0.801329 | − | 0.598224i | \(-0.204127\pi\) |
−0.886665 | + | 0.462412i | \(0.846984\pi\) | |||||||
\(114\) | 2.36825 | − | 6.03421i | 0.221807 | − | 0.565156i | ||||
\(115\) | −0.696623 | + | 1.75520i | −0.0649605 | + | 0.163673i | ||||
\(116\) | −2.30294 | − | 2.48198i | −0.213823 | − | 0.230446i | ||||
\(117\) | 1.47127 | − | 7.77583i | 0.136019 | − | 0.718875i | ||||
\(118\) | −0.846817 | − | 7.51571i | −0.0779559 | − | 0.691877i | ||||
\(119\) | −2.81636 | − | 2.61320i | −0.258175 | − | 0.239552i | ||||
\(120\) | −1.09638 | − | 5.91835i | −0.100086 | − | 0.540269i | ||||
\(121\) | −0.922742 | − | 4.04280i | −0.0838857 | − | 0.367527i | ||||
\(122\) | −8.79600 | − | 2.35688i | −0.796352 | − | 0.213382i | ||||
\(123\) | 2.62058 | + | 9.78014i | 0.236290 | + | 0.881845i | ||||
\(124\) | 1.37329 | − | 4.45210i | 0.123325 | − | 0.399810i | ||||
\(125\) | −11.1237 | + | 1.12424i | −0.994931 | + | 0.100555i | ||||
\(126\) | −0.350452 | + | 4.67646i | −0.0312208 | + | 0.416612i | ||||
\(127\) | −1.08681 | + | 0.380292i | −0.0964391 | + | 0.0337455i | −0.378067 | − | 0.925778i | \(-0.623411\pi\) |
0.281628 | + | 0.959524i | \(0.409126\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 17.4892 | + | 2.38673i | 1.53984 | + | 0.210139i | ||||
\(130\) | −1.36149 | − | 3.93919i | −0.119411 | − | 0.345490i | ||||
\(131\) | 3.72748 | − | 7.74019i | 0.325671 | − | 0.676263i | −0.672276 | − | 0.740300i | \(-0.734683\pi\) |
0.997948 | + | 0.0640372i | \(0.0203976\pi\) | |||||||
\(132\) | 7.94065 | − | 6.83348i | 0.691145 | − | 0.594778i | ||||
\(133\) | −0.297812 | + | 2.64315i | −0.0258235 | + | 0.229190i | ||||
\(134\) | −14.9044 | − | 4.59741i | −1.28755 | − | 0.397156i | ||||
\(135\) | 6.21166 | − | 4.20032i | 0.534614 | − | 0.361506i | ||||
\(136\) | −3.01238 | + | 1.73920i | −0.258309 | + | 0.149135i | ||||
\(137\) | −4.82830 | + | 7.68420i | −0.412510 | + | 0.656505i | −0.986762 | − | 0.162173i | \(-0.948150\pi\) |
0.574253 | + | 0.818678i | \(0.305293\pi\) | |||||||
\(138\) | −1.34991 | − | 1.82906i | −0.114912 | − | 0.155700i | ||||
\(139\) | −2.65005 | + | 2.85607i | −0.224774 | + | 0.242249i | −0.835363 | − | 0.549699i | \(-0.814742\pi\) |
0.610589 | + | 0.791948i | \(0.290933\pi\) | |||||||
\(140\) | 1.06308 | + | 2.22928i | 0.0898468 | + | 0.188409i | ||||
\(141\) | −12.5268 | − | 18.3734i | −1.05494 | − | 1.54732i | ||||
\(142\) | 0.0541873 | − | 1.44818i | 0.00454729 | − | 0.121529i | ||||
\(143\) | 4.73178 | − | 5.49843i | 0.395691 | − | 0.459802i | ||||
\(144\) | 3.95230 | + | 1.55116i | 0.329358 | + | 0.129264i | ||||
\(145\) | −0.818894 | − | 7.52651i | −0.0680055 | − | 0.625043i | ||||
\(146\) | 14.5983 | − | 4.50298i | 1.20816 | − | 0.372669i | ||||
\(147\) | 2.89254 | + | 15.2875i | 0.238573 | + | 1.26089i | ||||
\(148\) | 0.352147 | − | 0.477142i | 0.0289463 | − | 0.0392209i | ||||
\(149\) | 5.83287 | + | 14.8619i | 0.477847 | + | 1.21753i | 0.943145 | + | 0.332381i | \(0.107852\pi\) |
−0.465298 | + | 0.885154i | \(0.654053\pi\) | |||||||
\(150\) | 5.93223 | − | 12.0811i | 0.484365 | − | 0.986419i | ||||
\(151\) | −1.76509 | − | 3.66524i | −0.143641 | − | 0.298273i | 0.816720 | − | 0.577035i | \(-0.195790\pi\) |
−0.960360 | + | 0.278762i | \(0.910076\pi\) | |||||||
\(152\) | 2.20724 | + | 0.963008i | 0.179031 | + | 0.0781102i | ||||
\(153\) | −11.8827 | − | 8.76986i | −0.960662 | − | 0.709001i | ||||
\(154\) | −2.42153 | + | 3.55173i | −0.195132 | + | 0.286207i | ||||
\(155\) | 8.40592 | − | 6.15433i | 0.675180 | − | 0.494328i | ||||
\(156\) | 4.89149 | + | 1.11645i | 0.391633 | + | 0.0893876i | ||||
\(157\) | 21.5715 | − | 9.41155i | 1.72159 | − | 0.751123i | 0.723439 | − | 0.690388i | \(-0.242560\pi\) |
0.998154 | − | 0.0607349i | \(-0.0193444\pi\) | |||||||
\(158\) | −6.01977 | − | 5.18043i | −0.478907 | − | 0.412133i | ||||
\(159\) | −20.2120 | + | 18.7540i | −1.60291 | + | 1.48729i | ||||
\(160\) | 2.21235 | − | 0.324809i | 0.174902 | − | 0.0256784i | ||||
\(161\) | 0.729279 | + | 0.581580i | 0.0574752 | + | 0.0458350i | ||||
\(162\) | −0.138745 | − | 3.70803i | −0.0109008 | − | 0.291330i | ||||
\(163\) | −15.6236 | + | 11.5308i | −1.22374 | + | 0.903158i | −0.997483 | − | 0.0709100i | \(-0.977410\pi\) |
−0.226254 | + | 0.974068i | \(0.572648\pi\) | |||||||
\(164\) | −3.66717 | + | 0.837007i | −0.286358 | + | 0.0653593i | ||||
\(165\) | 23.3665 | − | 1.66123i | 1.81908 | − | 0.129326i | ||||
\(166\) | 5.18184 | + | 2.99173i | 0.402189 | + | 0.232204i | ||||
\(167\) | −12.1003 | + | 6.39519i | −0.936349 | + | 0.494875i | −0.864552 | − | 0.502544i | \(-0.832397\pi\) |
−0.0717977 | + | 0.997419i | \(0.522874\pi\) | |||||||
\(168\) | −2.95446 | − | 0.332888i | −0.227941 | − | 0.0256828i | ||||
\(169\) | −9.49919 | − | 0.711866i | −0.730707 | − | 0.0547589i | ||||
\(170\) | −7.72563 | − | 0.900406i | −0.592529 | − | 0.0690580i | ||||
\(171\) | 10.2246i | 0.781894i | ||||||||
\(172\) | −1.12898 | + | 6.45952i | −0.0860842 | + | 0.492534i | ||||
\(173\) | −12.6919 | − | 12.6919i | −0.964946 | − | 0.964946i | 0.0344606 | − | 0.999406i | \(-0.489029\pi\) |
−0.999406 | + | 0.0344606i | \(0.989029\pi\) | |||||||
\(174\) | 8.21139 | + | 3.95440i | 0.622504 | + | 0.299782i | ||||
\(175\) | −1.06820 | + | 5.41832i | −0.0807480 | + | 0.409586i | ||||
\(176\) | 2.42655 | + | 3.04280i | 0.182908 | + | 0.229360i | ||||
\(177\) | 9.51304 | + | 17.9995i | 0.715044 | + | 1.35293i | ||||
\(178\) | −16.4707 | + | 4.41331i | −1.23453 | + | 0.330792i | ||||
\(179\) | 7.70570 | + | 13.3467i | 0.575951 | + | 0.997577i | 0.995938 | + | 0.0900462i | \(0.0287015\pi\) |
−0.419987 | + | 0.907530i | \(0.637965\pi\) | |||||||
\(180\) | 5.02027 | + | 8.05796i | 0.374189 | + | 0.600605i | ||||
\(181\) | 16.9302 | + | 2.55181i | 1.25841 | + | 0.189675i | 0.744181 | − | 0.667978i | \(-0.232840\pi\) |
0.514229 | + | 0.857653i | \(0.328078\pi\) | |||||||
\(182\) | −2.05729 | + | 0.0769785i | −0.152497 | + | 0.00570603i | ||||
\(183\) | 24.3582 | − | 2.74451i | 1.80061 | − | 0.202880i | ||||
\(184\) | 0.697769 | − | 0.475731i | 0.0514402 | − | 0.0350713i | ||||
\(185\) | 1.26861 | − | 0.386006i | 0.0932698 | − | 0.0283797i | ||||
\(186\) | 0.937215 | + | 12.5063i | 0.0687199 | + | 0.917004i | ||||
\(187\) | −5.41354 | − | 12.4080i | −0.395877 | − | 0.907360i | ||||
\(188\) | 6.99492 | − | 4.39520i | 0.510157 | − | 0.320553i | ||||
\(189\) | −1.09175 | − | 3.53938i | −0.0794134 | − | 0.257452i | ||||
\(190\) | 2.67456 | + | 4.67366i | 0.194033 | + | 0.339063i | ||||
\(191\) | −0.257504 | − | 1.70843i | −0.0186323 | − | 0.123617i | 0.977581 | − | 0.210560i | \(-0.0675286\pi\) |
−0.996213 | + | 0.0869421i | \(0.972290\pi\) | |||||||
\(192\) | −1.07643 | + | 2.46720i | −0.0776846 | + | 0.178055i | ||||
\(193\) | −5.54434 | − | 1.94005i | −0.399090 | − | 0.139648i | 0.123269 | − | 0.992373i | \(-0.460662\pi\) |
−0.522359 | + | 0.852726i | \(0.674948\pi\) | |||||||
\(194\) | 2.92357 | − | 1.40792i | 0.209900 | − | 0.101083i | ||||
\(195\) | 7.28543 | + | 8.53160i | 0.521720 | + | 0.610961i | ||||
\(196\) | −5.71547 | + | 0.861469i | −0.408248 | + | 0.0615335i | ||||
\(197\) | −0.716935 | + | 0.135651i | −0.0510795 | + | 0.00966476i | −0.211389 | − | 0.977402i | \(-0.567799\pi\) |
0.160309 | + | 0.987067i | \(0.448751\pi\) | |||||||
\(198\) | −7.72121 | + | 14.6092i | −0.548723 | + | 1.03823i | ||||
\(199\) | −5.48367 | + | 24.0255i | −0.388727 | + | 1.70313i | 0.280321 | + | 0.959906i | \(0.409559\pi\) |
−0.669048 | + | 0.743219i | \(0.733298\pi\) | |||||||
\(200\) | 4.40258 | + | 2.37009i | 0.311309 | + | 0.167591i | ||||
\(201\) | 41.8676 | − | 3.13755i | 2.95312 | − | 0.221305i | ||||
\(202\) | −15.7707 | − | 0.590099i | −1.10963 | − | 0.0415192i | ||||
\(203\) | −3.67452 | − | 0.695257i | −0.257901 | − | 0.0487974i | ||||
\(204\) | 5.83782 | − | 7.32040i | 0.408729 | − | 0.512531i | ||||
\(205\) | −7.69621 | − | 3.39292i | −0.537526 | − | 0.236972i | ||||
\(206\) | −1.51876 | + | 10.0763i | −0.105817 | + | 0.702049i | ||||
\(207\) | 3.03603 | + | 1.90767i | 0.211019 | + | 0.132592i | ||||
\(208\) | −0.482416 | + | 1.80040i | −0.0334496 | + | 0.124835i | ||||
\(209\) | −4.68616 | + | 8.11666i | −0.324148 | + | 0.561441i | ||||
\(210\) | −4.85613 | − | 4.54051i | −0.335105 | − | 0.313325i | ||||
\(211\) | −4.08391 | + | 3.25681i | −0.281148 | + | 0.224208i | −0.753903 | − | 0.656986i | \(-0.771831\pi\) |
0.472755 | + | 0.881194i | \(0.343260\pi\) | |||||||
\(212\) | −6.68144 | − | 7.76398i | −0.458883 | − | 0.533232i | ||||
\(213\) | 1.28840 | + | 3.68205i | 0.0882799 | + | 0.252290i | ||||
\(214\) | 13.4190 | 0.917306 | ||||||||
\(215\) | −10.6469 | + | 10.0818i | −0.726114 | + | 0.687574i | ||||
\(216\) | −3.35343 | −0.228172 | ||||||||
\(217\) | −1.69964 | − | 4.85728i | −0.115379 | − | 0.329734i | ||||
\(218\) | 0.373775 | + | 0.434334i | 0.0253152 | + | 0.0294168i | ||||
\(219\) | −32.1510 | + | 25.6396i | −2.17257 | + | 1.73256i | ||||
\(220\) | 0.292134 | + | 8.69761i | 0.0196957 | + | 0.586393i | ||||
\(221\) | 3.24171 | − | 5.61481i | 0.218061 | − | 0.377693i | ||||
\(222\) | −0.413150 | + | 1.54190i | −0.0277288 | + | 0.103485i | ||||
\(223\) | 20.9932 | + | 13.1909i | 1.40581 | + | 0.883328i | 0.999537 | − | 0.0304239i | \(-0.00968571\pi\) |
0.406272 | + | 0.913752i | \(0.366829\pi\) | |||||||
\(224\) | 0.164620 | − | 1.09219i | 0.0109992 | − | 0.0729747i | ||||
\(225\) | −1.74833 | + | 21.1569i | −0.116555 | + | 1.41046i | ||||
\(226\) | −1.06308 | + | 1.33306i | −0.0707148 | + | 0.0886735i | ||||
\(227\) | −1.88651 | − | 0.356948i | −0.125212 | − | 0.0236915i | 0.122928 | − | 0.992416i | \(-0.460772\pi\) |
−0.248140 | + | 0.968724i | \(0.579819\pi\) | |||||||
\(228\) | −6.47778 | − | 0.242381i | −0.429001 | − | 0.0160521i | ||||
\(229\) | 29.1483 | − | 2.18436i | 1.92617 | − | 0.144347i | 0.943705 | − | 0.330787i | \(-0.107314\pi\) |
0.982466 | + | 0.186441i | \(0.0596952\pi\) | |||||||
\(230\) | 1.88678 | + | 0.0778260i | 0.124411 | + | 0.00513169i | ||||
\(231\) | 2.57483 | − | 11.2811i | 0.169411 | − | 0.742239i | ||||
\(232\) | −1.58209 | + | 2.99346i | −0.103869 | + | 0.196530i | ||||
\(233\) | −18.7342 | + | 3.54469i | −1.22732 | + | 0.232221i | −0.758852 | − | 0.651263i | \(-0.774240\pi\) |
−0.468463 | + | 0.883483i | \(0.655192\pi\) | |||||||
\(234\) | −7.82540 | + | 1.17949i | −0.511562 | + | 0.0771056i | ||||
\(235\) | 18.4154 | + | 1.45090i | 1.20129 | + | 0.0946461i | ||||
\(236\) | −6.81427 | + | 3.28158i | −0.443571 | + | 0.213613i | ||||
\(237\) | 20.1785 | + | 7.06075i | 1.31073 | + | 0.458645i | ||||
\(238\) | −1.53637 | + | 3.52140i | −0.0995881 | + | 0.228258i | ||||
\(239\) | −0.946006 | − | 6.27634i | −0.0611921 | − | 0.405983i | −0.998367 | − | 0.0571233i | \(-0.981807\pi\) |
0.937175 | − | 0.348859i | \(-0.113431\pi\) | |||||||
\(240\) | −5.22412 | + | 2.98957i | −0.337216 | + | 0.192976i | ||||
\(241\) | −2.61661 | − | 8.48283i | −0.168550 | − | 0.546427i | 0.831407 | − | 0.555664i | \(-0.187536\pi\) |
−0.999957 | + | 0.00923708i | \(0.997060\pi\) | |||||||
\(242\) | −3.51117 | + | 2.20621i | −0.225706 | + | 0.141821i | ||||
\(243\) | 8.01725 | + | 18.3757i | 0.514307 | + | 1.17880i | ||||
\(244\) | 0.680514 | + | 9.08083i | 0.0435654 | + | 0.581340i | ||||
\(245\) | −11.4036 | − | 6.08289i | −0.728550 | − | 0.388622i | ||||
\(246\) | 8.36579 | − | 5.70370i | 0.533383 | − | 0.363654i | ||||
\(247\) | −4.46040 | + | 0.502566i | −0.283808 | + | 0.0319775i | ||||
\(248\) | −4.65583 | + | 0.174209i | −0.295645 | + | 0.0110623i | ||||
\(249\) | −15.9264 | − | 2.40052i | −1.00930 | − | 0.152127i | ||||
\(250\) | 4.73507 | + | 10.1281i | 0.299472 | + | 0.640559i | ||||
\(251\) | 6.06769 | + | 10.5096i | 0.382989 | + | 0.663357i | 0.991488 | − | 0.130198i | \(-0.0415613\pi\) |
−0.608499 | + | 0.793555i | \(0.708228\pi\) | |||||||
\(252\) | 4.52978 | − | 1.21375i | 0.285349 | − | 0.0764591i | ||||
\(253\) | 1.53579 | + | 2.90586i | 0.0965544 | + | 0.182690i | ||||
\(254\) | 0.717903 | + | 0.900222i | 0.0450453 | + | 0.0564850i | ||||
\(255\) | 20.2438 | − | 5.34141i | 1.26772 | − | 0.334492i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | −2.24414 | − | 2.24414i | −0.139986 | − | 0.139986i | 0.633641 | − | 0.773627i | \(-0.281560\pi\) |
−0.773627 | + | 0.633641i | \(0.781560\pi\) | |||||||
\(258\) | −3.52353 | − | 17.2961i | −0.219365 | − | 1.07681i | ||||
\(259\) | − | 0.655003i | − | 0.0406999i | ||||||
\(260\) | −3.26846 | + | 2.58612i | −0.202701 | + | 0.160384i | ||||
\(261\) | −14.3353 | − | 1.07428i | −0.887333 | − | 0.0664964i | ||||
\(262\) | −8.53694 | − | 0.961882i | −0.527414 | − | 0.0594253i | ||||
\(263\) | 12.2593 | − | 6.47924i | 0.755942 | − | 0.399527i | −0.0444442 | − | 0.999012i | \(-0.514152\pi\) |
0.800386 | + | 0.599485i | \(0.204628\pi\) | |||||||
\(264\) | −9.07264 | − | 5.23809i | −0.558382 | − | 0.322382i | ||||
\(265\) | −1.62427 | − | 22.8466i | −0.0997780 | − | 1.40346i | ||||
\(266\) | 2.59319 | − | 0.591878i | 0.158999 | − | 0.0362904i | ||||
\(267\) | 36.9309 | − | 27.2563i | 2.26014 | − | 1.66806i | ||||
\(268\) | 0.583205 | + | 15.5865i | 0.0356249 | + | 0.952095i | ||||
\(269\) | 6.85402 | + | 5.46590i | 0.417897 | + | 0.333262i | 0.809759 | − | 0.586762i | \(-0.199598\pi\) |
−0.391862 | + | 0.920024i | \(0.628169\pi\) | |||||||
\(270\) | −6.01620 | − | 4.47580i | −0.366134 | − | 0.272388i | ||||
\(271\) | −6.08027 | + | 5.64166i | −0.369350 | + | 0.342707i | −0.842910 | − | 0.538055i | \(-0.819159\pi\) |
0.473560 | + | 0.880762i | \(0.342969\pi\) | |||||||
\(272\) | 2.63652 | + | 2.26891i | 0.159863 | + | 0.137573i | ||||
\(273\) | 5.07931 | − | 2.21608i | 0.307414 | − | 0.134123i | ||||
\(274\) | 8.84767 | + | 2.01942i | 0.534507 | + | 0.121998i | ||||
\(275\) | −11.0846 | + | 15.9938i | −0.668424 | + | 0.964463i | ||||
\(276\) | −1.28057 | + | 1.87825i | −0.0770814 | + | 0.113058i | ||||
\(277\) | −1.96679 | − | 1.45156i | −0.118173 | − | 0.0872156i | 0.533130 | − | 0.846033i | \(-0.321016\pi\) |
−0.651303 | + | 0.758818i | \(0.725777\pi\) | |||||||
\(278\) | 3.57106 | + | 1.55804i | 0.214178 | + | 0.0934448i | ||||
\(279\) | −8.58288 | − | 17.8225i | −0.513843 | − | 1.06701i | ||||
\(280\) | 1.75307 | − | 1.73971i | 0.104766 | − | 0.103968i | ||||
\(281\) | −5.91785 | − | 15.0784i | −0.353029 | − | 0.899504i | −0.991529 | − | 0.129882i | \(-0.958540\pi\) |
0.638500 | − | 0.769622i | \(-0.279555\pi\) | |||||||
\(282\) | −13.2050 | + | 17.8922i | −0.786347 | + | 1.06546i | ||||
\(283\) | −5.29219 | − | 27.9699i | −0.314588 | − | 1.66264i | −0.681074 | − | 0.732215i | \(-0.738487\pi\) |
0.366485 | − | 0.930424i | \(-0.380561\pi\) | |||||||
\(284\) | −1.38481 | + | 0.427159i | −0.0821736 | + | 0.0253472i | ||||
\(285\) | −11.2979 | − | 9.08069i | −0.669231 | − | 0.537894i | ||||
\(286\) | −6.75269 | − | 2.65023i | −0.399295 | − | 0.156712i | ||||
\(287\) | −2.71002 | + | 3.14909i | −0.159967 | + | 0.185885i | ||||
\(288\) | 0.158755 | − | 4.24282i | 0.00935474 | − | 0.250011i | ||||
\(289\) | 2.76071 | + | 4.04921i | 0.162395 | + | 0.238189i | ||||
\(290\) | −6.83369 | + | 3.25879i | −0.401288 | + | 0.191363i | ||||
\(291\) | −5.94109 | + | 6.40297i | −0.348273 | + | 0.375349i | ||||
\(292\) | −9.07181 | − | 12.2919i | −0.530887 | − | 0.719327i | ||||
\(293\) | 12.6894 | − | 20.1951i | 0.741322 | − | 1.17981i | −0.236756 | − | 0.971569i | \(-0.576084\pi\) |
0.978078 | − | 0.208238i | \(-0.0667730\pi\) | |||||||
\(294\) | 13.4742 | − | 7.77935i | 0.785833 | − | 0.453701i | ||||
\(295\) | −16.6050 | − | 3.20767i | −0.966780 | − | 0.186758i | ||||
\(296\) | −0.566673 | − | 0.174796i | −0.0329372 | − | 0.0101598i | ||||
\(297\) | 1.46127 | − | 12.9691i | 0.0847912 | − | 0.752543i | ||||
\(298\) | 12.1014 | − | 10.4141i | 0.701017 | − | 0.603274i | ||||
\(299\) | −0.682975 | + | 1.41821i | −0.0394975 | + | 0.0820174i | ||||
\(300\) | −13.3625 | − | 1.60919i | −0.771482 | − | 0.0929067i | ||||
\(301\) | 3.23340 | + | 6.48104i | 0.186370 | + | 0.373561i | ||||
\(302\) | −2.87659 | + | 2.87659i | −0.165529 | + | 0.165529i | ||||
\(303\) | 40.0975 | − | 14.0307i | 2.30354 | − | 0.806043i | ||||
\(304\) | 0.179963 | − | 2.40144i | 0.0103216 | − | 0.137732i | ||||
\(305\) | −10.8993 | + | 17.1997i | −0.624089 | + | 0.984851i | ||||
\(306\) | −4.35310 | + | 14.1124i | −0.248850 | + | 0.806753i | ||||
\(307\) | 1.06842 | + | 3.98741i | 0.0609782 | + | 0.227574i | 0.989689 | − | 0.143230i | \(-0.0457489\pi\) |
−0.928711 | + | 0.370804i | \(0.879082\pi\) | |||||||
\(308\) | 4.15220 | + | 1.11258i | 0.236594 | + | 0.0633950i | ||||
\(309\) | −6.10370 | − | 26.7421i | −0.347227 | − | 1.52130i | ||||
\(310\) | −8.58527 | − | 5.90157i | −0.487611 | − | 0.335186i | ||||
\(311\) | −17.9593 | − | 16.6638i | −1.01838 | − | 0.944917i | −0.0198861 | − | 0.999802i | \(-0.506330\pi\) |
−0.998493 | + | 0.0548849i | \(0.982521\pi\) | |||||||
\(312\) | −0.561758 | − | 4.98574i | −0.0318033 | − | 0.282262i | ||||
\(313\) | −5.55767 | + | 29.3730i | −0.314138 | + | 1.66026i | 0.368594 | + | 0.929591i | \(0.379839\pi\) |
−0.682732 | + | 0.730669i | \(0.739208\pi\) | |||||||
\(314\) | −16.0080 | − | 17.2525i | −0.903385 | − | 0.973617i | ||||
\(315\) | 9.74661 | + | 3.86835i | 0.549159 | + | 0.217957i | ||||
\(316\) | −2.90152 | + | 7.39295i | −0.163223 | + | 0.415886i | ||||
\(317\) | −1.95350 | − | 3.10898i | −0.109720 | − | 0.174618i | 0.787351 | − | 0.616505i | \(-0.211452\pi\) |
−0.897071 | + | 0.441887i | \(0.854309\pi\) | |||||||
\(318\) | 24.3772 | + | 12.8837i | 1.36700 | + | 0.722482i | ||||
\(319\) | −10.8875 | − | 7.42300i | −0.609585 | − | 0.415608i | ||||
\(320\) | −1.03728 | − | 1.98092i | −0.0579855 | − | 0.110737i | ||||
\(321\) | −33.6244 | + | 13.1966i | −1.87673 | + | 0.736563i | ||||
\(322\) | 0.308079 | − | 0.880438i | 0.0171685 | − | 0.0490649i | ||||
\(323\) | −2.76660 | + | 7.90649i | −0.153938 | + | 0.439929i | ||||
\(324\) | −3.45412 | + | 1.35564i | −0.191895 | + | 0.0753134i | ||||
\(325\) | −9.31544 | + | 0.277221i | −0.516728 | + | 0.0153774i | ||||
\(326\) | 16.0438 | + | 10.9385i | 0.888586 | + | 0.605828i | ||||
\(327\) | −1.36371 | − | 0.720743i | −0.0754135 | − | 0.0398572i | ||||
\(328\) | 2.00123 | + | 3.18493i | 0.110499 | + | 0.175858i | ||||
\(329\) | 3.33360 | − | 8.49388i | 0.183787 | − | 0.468283i | ||||
\(330\) | −9.28546 | − | 21.5066i | −0.511148 | − | 1.18390i | ||||
\(331\) | −0.809504 | − | 0.872438i | −0.0444944 | − | 0.0479535i | 0.710412 | − | 0.703786i | \(-0.248508\pi\) |
−0.754907 | + | 0.655832i | \(0.772318\pi\) | |||||||
\(332\) | 1.11240 | − | 5.87916i | 0.0610507 | − | 0.322661i | ||||
\(333\) | −0.281908 | − | 2.50201i | −0.0154485 | − | 0.137109i | ||||
\(334\) | 10.0328 | + | 9.30907i | 0.548970 | + | 0.509370i | ||||
\(335\) | −19.7569 | + | 28.7412i | −1.07943 | + | 1.57030i | ||||
\(336\) | 0.661589 | + | 2.89861i | 0.0360926 | + | 0.158132i | ||||
\(337\) | 14.0046 | + | 3.75251i | 0.762877 | + | 0.204412i | 0.619222 | − | 0.785216i | \(-0.287448\pi\) |
0.143654 | + | 0.989628i | \(0.454115\pi\) | |||||||
\(338\) | 2.46547 | + | 9.20124i | 0.134104 | + | 0.500482i | ||||
\(339\) | 1.35282 | − | 4.38573i | 0.0734750 | − | 0.238200i | ||||
\(340\) | 1.70174 | + | 7.58948i | 0.0922896 | + | 0.411597i | ||||
\(341\) | 1.35505 | − | 18.0819i | 0.0733802 | − | 0.979191i | ||||
\(342\) | 9.65082 | − | 3.37697i | 0.521856 | − | 0.182605i | ||||
\(343\) | −9.98140 | + | 9.98140i | −0.538945 | + | 0.538945i | ||||
\(344\) | 6.46991 | − | 1.06782i | 0.348834 | − | 0.0575728i | ||||
\(345\) | −4.80430 | + | 1.66050i | −0.258655 | + | 0.0893983i | ||||
\(346\) | −7.78779 | + | 16.1715i | −0.418674 | + | 0.869386i | ||||
\(347\) | 7.26579 | − | 6.25272i | 0.390048 | − | 0.335663i | −0.435302 | − | 0.900284i | \(-0.643359\pi\) |
0.825350 | + | 0.564621i | \(0.190978\pi\) | |||||||
\(348\) | 1.02044 | − | 9.05665i | 0.0547013 | − | 0.485488i | ||||
\(349\) | −17.8794 | − | 5.51508i | −0.957065 | − | 0.295215i | −0.223400 | − | 0.974727i | \(-0.571716\pi\) |
−0.733665 | + | 0.679511i | \(0.762192\pi\) | |||||||
\(350\) | 5.46706 | − | 0.781306i | 0.292227 | − | 0.0417625i | ||||
\(351\) | 5.41309 | − | 3.12525i | 0.288929 | − | 0.166813i | ||||
\(352\) | 2.07061 | − | 3.29535i | 0.110364 | − | 0.175643i | ||||
\(353\) | −1.02284 | − | 1.38590i | −0.0544403 | − | 0.0737639i | 0.776532 | − | 0.630078i | \(-0.216977\pi\) |
−0.830972 | + | 0.556314i | \(0.812215\pi\) | |||||||
\(354\) | 13.8475 | − | 14.9241i | 0.735987 | − | 0.793205i | ||||
\(355\) | −3.05454 | − | 1.08196i | −0.162118 | − | 0.0574246i | ||||
\(356\) | 9.60559 | + | 14.0888i | 0.509095 | + | 0.746705i | ||||
\(357\) | 0.386692 | − | 10.3346i | 0.0204659 | − | 0.546963i | ||||
\(358\) | 10.0527 | − | 11.6814i | 0.531300 | − | 0.617381i | ||||
\(359\) | 4.23798 | + | 1.66328i | 0.223672 | + | 0.0877848i | 0.474531 | − | 0.880239i | \(-0.342618\pi\) |
−0.250859 | + | 0.968024i | \(0.580713\pi\) | |||||||
\(360\) | 5.94768 | − | 7.39992i | 0.313471 | − | 0.390010i | ||||
\(361\) | −12.6143 | + | 3.89098i | −0.663908 | + | 0.204788i | ||||
\(362\) | −3.18307 | − | 16.8229i | −0.167298 | − | 0.884194i | ||||
\(363\) | 6.62838 | − | 8.98114i | 0.347900 | − | 0.471387i | ||||
\(364\) | 0.752140 | + | 1.91642i | 0.0394228 | + | 0.100448i | ||||
\(365\) | 0.130654 | − | 34.1602i | 0.00683874 | − | 1.78803i | ||||
\(366\) | −10.6355 | − | 22.0848i | −0.555926 | − | 1.15439i | ||||
\(367\) | −3.92788 | − | 1.71372i | −0.205034 | − | 0.0894553i | 0.294866 | − | 0.955539i | \(-0.404725\pi\) |
−0.499900 | + | 0.866083i | \(0.666630\pi\) | |||||||
\(368\) | −0.679493 | − | 0.501488i | −0.0354210 | − | 0.0261419i | ||||
\(369\) | −8.99647 | + | 13.1954i | −0.468338 | + | 0.686925i | ||||
\(370\) | −0.783338 | − | 1.06993i | −0.0407238 | − | 0.0556228i | ||||
\(371\) | −11.0301 | − | 2.51754i | −0.572653 | − | 0.130704i | ||||
\(372\) | 11.4949 | − | 5.01518i | 0.595983 | − | 0.260025i | ||||
\(373\) | 19.9313 | + | 17.1522i | 1.03200 | + | 0.888110i | 0.993802 | − | 0.111161i | \(-0.0354568\pi\) |
0.0381995 | + | 0.999270i | \(0.487838\pi\) | |||||||
\(374\) | −9.92369 | + | 9.20784i | −0.513142 | + | 0.476126i | ||||
\(375\) | −21.8251 | − | 20.7218i | −1.12704 | − | 1.07007i | ||||
\(376\) | −6.45883 | − | 5.15075i | −0.333089 | − | 0.265629i | ||||
\(377\) | −0.235971 | − | 6.30647i | −0.0121531 | − | 0.324800i | ||||
\(378\) | −2.98018 | + | 2.19947i | −0.153284 | + | 0.113129i | ||||
\(379\) | −17.4325 | + | 3.97885i | −0.895447 | + | 0.204380i | −0.645392 | − | 0.763852i | \(-0.723306\pi\) |
−0.250055 | + | 0.968232i | \(0.580449\pi\) | |||||||
\(380\) | 3.52804 | − | 4.06808i | 0.180985 | − | 0.208688i | ||||
\(381\) | −2.68417 | − | 1.54971i | −0.137514 | − | 0.0793939i | ||||
\(382\) | −1.52751 | + | 0.807311i | −0.0781541 | + | 0.0413056i | ||||
\(383\) | −25.2570 | − | 2.84578i | −1.29057 | − | 0.145413i | −0.560140 | − | 0.828398i | \(-0.689253\pi\) |
−0.730432 | + | 0.682985i | \(0.760681\pi\) | |||||||
\(384\) | 2.68427 | + | 0.201159i | 0.136981 | + | 0.0102653i | ||||
\(385\) | 5.96428 | + | 7.53793i | 0.303968 | + | 0.384168i | ||||
\(386\) | 5.87397i | 0.298977i | ||||||||
\(387\) | 15.1404 | + | 23.3649i | 0.769632 | + | 1.18770i | ||||
\(388\) | −2.29450 | − | 2.29450i | −0.116486 | − | 0.116486i | ||||
\(389\) | 26.8727 | + | 12.9412i | 1.36250 | + | 0.656146i | 0.965193 | − | 0.261539i | \(-0.0842301\pi\) |
0.397308 | + | 0.917685i | \(0.369944\pi\) | |||||||
\(390\) | 5.64661 | − | 9.69440i | 0.285927 | − | 0.490895i | ||||
\(391\) | 1.83153 | + | 2.29667i | 0.0926244 | + | 0.116147i | ||||
\(392\) | 2.70083 | + | 5.11021i | 0.136412 | + | 0.258105i | ||||
\(393\) | 22.3372 | − | 5.98523i | 1.12676 | − | 0.301915i | ||||
\(394\) | 0.364828 | + | 0.631900i | 0.0183798 | + | 0.0318347i | ||||
\(395\) | −15.0728 | + | 9.39063i | −0.758393 | + | 0.472494i | ||||
\(396\) | 16.3396 | + | 2.46279i | 0.821095 | + | 0.123760i | ||||
\(397\) | −3.04547 | + | 0.113953i | −0.152848 | + | 0.00571916i | −0.113706 | − | 0.993514i | \(-0.536272\pi\) |
−0.0391422 | + | 0.999234i | \(0.512463\pi\) | |||||||
\(398\) | 24.4884 | − | 2.75918i | 1.22749 | − | 0.138305i | ||||
\(399\) | −5.91575 | + | 4.03329i | −0.296158 | + | 0.201917i | ||||
\(400\) | 0.783009 | − | 4.93831i | 0.0391505 | − | 0.246915i | ||||
\(401\) | 1.36336 | + | 18.1928i | 0.0680831 | + | 0.908505i | 0.921775 | + | 0.387726i | \(0.126739\pi\) |
−0.853691 | + | 0.520779i | \(0.825642\pi\) | |||||||
\(402\) | −16.7895 | − | 38.4819i | −0.837383 | − | 1.91930i | ||||
\(403\) | 7.35306 | − | 4.62024i | 0.366282 | − | 0.230150i | ||||
\(404\) | 4.65176 | + | 15.0806i | 0.231434 | + | 0.750289i | ||||
\(405\) | −8.00621 | − | 2.17811i | −0.397832 | − | 0.108231i | ||||
\(406\) | 0.557376 | + | 3.69795i | 0.0276621 | + | 0.183526i | ||||
\(407\) | 0.922936 | − | 2.11539i | 0.0457483 | − | 0.104856i | ||||
\(408\) | −8.83771 | − | 3.09245i | −0.437532 | − | 0.153099i | ||||
\(409\) | 7.14164 | − | 3.43923i | 0.353131 | − | 0.170059i | −0.248905 | − | 0.968528i | \(-0.580071\pi\) |
0.602036 | + | 0.798469i | \(0.294356\pi\) | |||||||
\(410\) | −0.660623 | + | 8.38493i | −0.0326259 | + | 0.414102i | ||||
\(411\) | −24.1558 | + | 3.64090i | −1.19152 | + | 0.179592i | ||||
\(412\) | 10.0125 | − | 1.89446i | 0.493279 | − | 0.0933334i | ||||
\(413\) | −3.90347 | + | 7.38572i | −0.192077 | + | 0.363428i | ||||
\(414\) | 0.797876 | − | 3.49573i | 0.0392135 | − | 0.171806i | ||||
\(415\) | 9.84256 | − | 9.06275i | 0.483152 | − | 0.444873i | ||||
\(416\) | 1.85870 | − | 0.139290i | 0.0911303 | − | 0.00682928i | ||||
\(417\) | −10.4803 | − | 0.392145i | −0.513223 | − | 0.0192034i | ||||
\(418\) | 9.20892 | + | 1.74242i | 0.450423 | + | 0.0852247i | ||||
\(419\) | 9.28774 | − | 11.6465i | 0.453736 | − | 0.568967i | −0.501370 | − | 0.865233i | \(-0.667170\pi\) |
0.955105 | + | 0.296267i | \(0.0957417\pi\) | |||||||
\(420\) | −2.68184 | + | 6.08325i | −0.130860 | + | 0.296832i | ||||
\(421\) | −2.82560 | + | 18.7466i | −0.137711 | + | 0.913654i | 0.808125 | + | 0.589010i | \(0.200482\pi\) |
−0.945837 | + | 0.324643i | \(0.894756\pi\) | |||||||
\(422\) | 4.42288 | + | 2.77908i | 0.215302 | + | 0.135283i | ||||
\(423\) | 9.07812 | − | 33.8800i | 0.441393 | − | 1.64730i | ||||
\(424\) | −5.12155 | + | 8.87078i | −0.248724 | + | 0.430803i | ||||
\(425\) | −7.07664 | + | 15.8872i | −0.343268 | + | 0.770640i | ||||
\(426\) | 3.04989 | − | 2.43220i | 0.147768 | − | 0.117841i | ||||
\(427\) | 6.56077 | + | 7.62375i | 0.317498 | + | 0.368939i | ||||
\(428\) | −4.43202 | − | 12.6660i | −0.214230 | − | 0.612234i | ||||
\(429\) | 19.5267 | 0.942758 | ||||||||
\(430\) | 13.0325 | + | 6.71964i | 0.628484 | + | 0.324050i | ||||
\(431\) | 5.64449 | 0.271886 | 0.135943 | − | 0.990717i | \(-0.456594\pi\) | ||||
0.135943 | + | 0.990717i | \(0.456594\pi\) | |||||||
\(432\) | 1.10757 | + | 3.16524i | 0.0532878 | + | 0.152288i | ||||
\(433\) | −12.5175 | − | 14.5455i | −0.601550 | − | 0.699014i | 0.371806 | − | 0.928310i | \(-0.378739\pi\) |
−0.973357 | + | 0.229296i | \(0.926358\pi\) | |||||||
\(434\) | −4.02335 | + | 3.20852i | −0.193127 | + | 0.154014i | ||||
\(435\) | 13.9186 | − | 14.8861i | 0.667344 | − | 0.713732i | ||||
\(436\) | 0.286511 | − | 0.496251i | 0.0137214 | − | 0.0237661i | ||||
\(437\) | 0.526368 | − | 1.96443i | 0.0251796 | − | 0.0939715i | ||||
\(438\) | 34.8196 | + | 21.8786i | 1.66374 | + | 1.04540i | ||||
\(439\) | 5.38323 | − | 35.7154i | 0.256928 | − | 1.70460i | −0.372902 | − | 0.927871i | \(-0.621637\pi\) |
0.629830 | − | 0.776733i | \(-0.283125\pi\) | |||||||
\(440\) | 8.11305 | − | 3.14838i | 0.386774 | − | 0.150093i | ||||
\(441\) | −15.3009 | + | 19.1868i | −0.728617 | + | 0.913656i | ||||
\(442\) | −6.37040 | − | 1.20534i | −0.303009 | − | 0.0573324i | ||||
\(443\) | 34.2721 | + | 1.28237i | 1.62832 | + | 0.0609273i | 0.835839 | − | 0.548974i | \(-0.184981\pi\) |
0.792477 | + | 0.609901i | \(0.208791\pi\) | |||||||
\(444\) | 1.59183 | − | 0.119291i | 0.0755448 | − | 0.00566130i | ||||
\(445\) | −1.57140 | + | 38.0965i | −0.0744916 | + | 1.80594i | ||||
\(446\) | 5.51706 | − | 24.1718i | 0.261240 | − | 1.14457i | ||||
\(447\) | −20.0814 | + | 37.9958i | −0.949816 | + | 1.79714i | ||||
\(448\) | −1.08527 | + | 0.205343i | −0.0512740 | + | 0.00970157i | ||||
\(449\) | 17.4442 | − | 2.62929i | 0.823243 | − | 0.124084i | 0.276106 | − | 0.961127i | \(-0.410956\pi\) |
0.547137 | + | 0.837043i | \(0.315718\pi\) | |||||||
\(450\) | 20.5470 | − | 5.33744i | 0.968597 | − | 0.251610i | ||||
\(451\) | −13.1895 | + | 6.35172i | −0.621069 | + | 0.299091i | ||||
\(452\) | 1.60936 | + | 0.563140i | 0.0756980 | + | 0.0264879i | ||||
\(453\) | 4.37904 | − | 10.0369i | 0.205745 | − | 0.471573i | ||||
\(454\) | 0.286159 | + | 1.89854i | 0.0134301 | + | 0.0891030i | ||||
\(455\) | −1.20846 | + | 4.44202i | −0.0566537 | + | 0.208245i | ||||
\(456\) | 1.91069 | + | 6.19432i | 0.0894765 | + | 0.290076i | ||||
\(457\) | 31.4488 | − | 19.7606i | 1.47111 | − | 0.924361i | 0.472028 | − | 0.881584i | \(-0.343522\pi\) |
0.999085 | − | 0.0427773i | \(-0.0136206\pi\) | |||||||
\(458\) | −11.6888 | − | 26.7911i | −0.546184 | − | 1.25187i | ||||
\(459\) | −0.871692 | − | 11.6319i | −0.0406871 | − | 0.542932i | ||||
\(460\) | −0.549706 | − | 1.80661i | −0.0256302 | − | 0.0842335i | ||||
\(461\) | −5.30001 | + | 3.61349i | −0.246846 | + | 0.168297i | −0.680423 | − | 0.732820i | \(-0.738204\pi\) |
0.433576 | + | 0.901117i | \(0.357251\pi\) | |||||||
\(462\) | −11.4984 | + | 1.29556i | −0.534955 | + | 0.0602749i | ||||
\(463\) | −33.6920 | + | 1.26067i | −1.56580 | + | 0.0585881i | −0.806137 | − | 0.591729i | \(-0.798446\pi\) |
−0.759663 | + | 0.650317i | \(0.774636\pi\) | |||||||
\(464\) | 3.34801 | + | 0.504631i | 0.155427 | + | 0.0234269i | ||||
\(465\) | 27.3161 | + | 6.34474i | 1.26675 | + | 0.294230i | ||||
\(466\) | 9.53328 | + | 16.5121i | 0.441621 | + | 0.764909i | ||||
\(467\) | 18.3226 | − | 4.90953i | 0.847870 | − | 0.227186i | 0.191375 | − | 0.981517i | \(-0.438705\pi\) |
0.656494 | + | 0.754331i | \(0.272039\pi\) | |||||||
\(468\) | 3.69787 | + | 6.99670i | 0.170934 | + | 0.323423i | ||||
\(469\) | 10.7413 | + | 13.4691i | 0.495985 | + | 0.621946i | ||||
\(470\) | −4.71276 | − | 17.8612i | −0.217383 | − | 0.823877i | ||||
\(471\) | 57.0783 | + | 27.4875i | 2.63003 | + | 1.26656i | ||||
\(472\) | 5.34804 | + | 5.34804i | 0.246163 | + | 0.246163i | ||||
\(473\) | 1.31040 | + | 25.4871i | 0.0602523 | + | 1.17190i | ||||
\(474\) | − | 21.3781i | − | 0.981930i | ||||||
\(475\) | 11.7591 | − | 2.58947i | 0.539545 | − | 0.118813i | ||||
\(476\) | 3.83122 | + | 0.287110i | 0.175604 | + | 0.0131597i | ||||
\(477\) | −43.2166 | − | 4.86934i | −1.97875 | − | 0.222952i | ||||
\(478\) | −5.61169 | + | 2.96586i | −0.256673 | + | 0.135655i | ||||
\(479\) | −11.4155 | − | 6.59074i | −0.521587 | − | 0.301138i | 0.215997 | − | 0.976394i | \(-0.430700\pi\) |
−0.737584 | + | 0.675256i | \(0.764033\pi\) | |||||||
\(480\) | 4.54722 | + | 3.94357i | 0.207551 | + | 0.179999i | ||||
\(481\) | 1.07762 | − | 0.245961i | 0.0491354 | − | 0.0112148i | ||||
\(482\) | −7.14259 | + | 5.27147i | −0.325336 | + | 0.240109i | ||||
\(483\) | 0.0938842 | + | 2.50911i | 0.00427188 | + | 0.114168i | ||||
\(484\) | 3.24207 | + | 2.58547i | 0.147367 | + | 0.117521i | ||||
\(485\) | −1.05398 | − | 7.17890i | −0.0478588 | − | 0.325977i | ||||
\(486\) | 14.6966 | − | 13.6365i | 0.666652 | − | 0.618563i | ||||
\(487\) | −19.4854 | − | 16.7685i | −0.882967 | − | 0.759855i | 0.0887369 | − | 0.996055i | \(-0.471717\pi\) |
−0.971704 | + | 0.236200i | \(0.924098\pi\) | |||||||
\(488\) | 8.34648 | − | 3.64153i | 0.377827 | − | 0.164844i | ||||
\(489\) | −50.9587 | − | 11.6310i | −2.30443 | − | 0.525972i | ||||
\(490\) | −1.97517 | + | 12.7727i | −0.0892291 | + | 0.577013i | ||||
\(491\) | 5.73134 | − | 8.40633i | 0.258652 | − | 0.379372i | −0.674844 | − | 0.737960i | \(-0.735789\pi\) |
0.933496 | + | 0.358588i | \(0.116742\pi\) | |||||||
\(492\) | −8.14667 | − | 6.01252i | −0.367280 | − | 0.271065i | ||||
\(493\) | −10.7946 | − | 4.70962i | −0.486162 | − | 0.212110i | ||||
\(494\) | 1.94754 | + | 4.04411i | 0.0876239 | + | 0.181953i | ||||
\(495\) | 26.0268 | + | 26.2267i | 1.16982 | + | 1.17880i | ||||
\(496\) | 1.70215 | + | 4.33702i | 0.0764290 | + | 0.194738i | ||||
\(497\) | −0.950511 | + | 1.28790i | −0.0426363 | + | 0.0577701i | ||||
\(498\) | 2.99435 | + | 15.8255i | 0.134180 | + | 0.709159i | ||||
\(499\) | 14.2384 | − | 4.39195i | 0.637397 | − | 0.196611i | 0.0408194 | − | 0.999167i | \(-0.487003\pi\) |
0.596577 | + | 0.802556i | \(0.296527\pi\) | |||||||
\(500\) | 7.99588 | − | 7.81446i | 0.357587 | − | 0.349473i | ||||
\(501\) | −34.2942 | − | 13.4595i | −1.53215 | − | 0.601326i | ||||
\(502\) | 7.91576 | − | 9.19828i | 0.353298 | − | 0.410539i | ||||
\(503\) | 0.800433 | − | 21.3920i | 0.0356896 | − | 0.953824i | −0.860311 | − | 0.509770i | \(-0.829730\pi\) |
0.896000 | − | 0.444054i | \(-0.146460\pi\) | |||||||
\(504\) | −2.64173 | − | 3.87471i | −0.117672 | − | 0.172593i | ||||
\(505\) | −11.7826 | + | 33.2640i | −0.524317 | + | 1.48023i | ||||
\(506\) | 2.23555 | − | 2.40935i | 0.0993825 | − | 0.107109i | ||||
\(507\) | −15.2265 | − | 20.6312i | −0.676233 | − | 0.916264i | ||||
\(508\) | 0.612596 | − | 0.974941i | 0.0271796 | − | 0.0432560i | ||||
\(509\) | 2.67666 | − | 1.54537i | 0.118641 | − | 0.0684974i | −0.439505 | − | 0.898240i | \(-0.644846\pi\) |
0.558146 | + | 0.829743i | \(0.311513\pi\) | |||||||
\(510\) | −11.7278 | − | 17.3436i | −0.519314 | − | 0.767989i | ||||
\(511\) | −16.1242 | − | 4.97364i | −0.713291 | − | 0.220021i | ||||
\(512\) | −0.111964 | + | 0.993712i | −0.00494818 | + | 0.0439163i | ||||
\(513\) | −6.12109 | + | 5.26763i | −0.270253 | + | 0.232571i | ||||
\(514\) | −1.37701 | + | 2.85940i | −0.0607375 | + | 0.126123i | ||||
\(515\) | 20.4913 | + | 9.96483i | 0.902956 | + | 0.439103i | ||||
\(516\) | −15.1617 | + | 9.03833i | −0.667457 | + | 0.397890i | ||||
\(517\) | 22.7345 | − | 22.7345i | 0.999863 | − | 0.999863i | ||||
\(518\) | −0.618247 | + | 0.216334i | −0.0271642 | + | 0.00950517i | ||||
\(519\) | 3.61060 | − | 48.1801i | 0.158488 | − | 2.11487i | ||||
\(520\) | 3.52050 | + | 2.23090i | 0.154384 | + | 0.0978316i | ||||
\(521\) | −9.92892 | + | 32.1888i | −0.434994 | + | 1.41022i | 0.427439 | + | 0.904044i | \(0.359416\pi\) |
−0.862433 | + | 0.506171i | \(0.831060\pi\) | |||||||
\(522\) | 3.72065 | + | 13.8857i | 0.162849 | + | 0.607759i | ||||
\(523\) | −23.9047 | − | 6.40525i | −1.04528 | − | 0.280082i | −0.304981 | − | 0.952359i | \(-0.598650\pi\) |
−0.740300 | + | 0.672276i | \(0.765317\pi\) | |||||||
\(524\) | 1.91167 | + | 8.37556i | 0.0835116 | + | 0.365888i | ||||
\(525\) | −12.9306 | + | 7.33419i | −0.564338 | + | 0.320090i | ||||
\(526\) | −10.1646 | − | 9.43141i | −0.443199 | − | 0.411229i | ||||
\(527\) | −1.81451 | − | 16.1042i | −0.0790413 | − | 0.701511i | ||||
\(528\) | −1.94764 | + | 10.2935i | −0.0847603 | + | 0.447969i | ||||
\(529\) | 15.1589 | + | 16.3374i | 0.659081 | + | 0.710321i | ||||
\(530\) | −21.0281 | + | 9.07887i | −0.913400 | + | 0.394361i | ||||
\(531\) | −11.7319 | + | 29.8923i | −0.509119 | + | 1.29721i | ||||
\(532\) | −1.41514 | − | 2.25218i | −0.0613541 | − | 0.0976444i | ||||
\(533\) | −6.19859 | − | 3.27605i | −0.268491 | − | 0.141902i | ||||
\(534\) | −37.9243 | − | 25.8563i | −1.64114 | − | 1.11891i | ||||
\(535\) | 8.95398 | − | 28.6387i | 0.387114 | − | 1.23816i | ||||
\(536\) | 14.5192 | − | 5.69836i | 0.627133 | − | 0.246132i | ||||
\(537\) | −13.7014 | + | 39.1565i | −0.591261 | + | 1.68973i | ||||
\(538\) | 2.89543 | − | 8.27467i | 0.124831 | − | 0.356746i | ||||
\(539\) | −20.9402 | + | 8.21842i | −0.901958 | + | 0.353993i | ||||
\(540\) | −2.23761 | + | 7.15685i | −0.0962913 | + | 0.307982i | ||||
\(541\) | 7.89711 | + | 5.38416i | 0.339523 | + | 0.231483i | 0.721063 | − | 0.692869i | \(-0.243654\pi\) |
−0.381540 | + | 0.924352i | \(0.624606\pi\) | |||||||
\(542\) | 7.33326 | + | 3.87574i | 0.314990 | + | 0.166477i | ||||
\(543\) | 24.5200 | + | 39.0234i | 1.05225 | + | 1.67465i | ||||
\(544\) | 1.27080 | − | 3.23795i | 0.0544851 | − | 0.138826i | ||||
\(545\) | 1.17636 | − | 0.507892i | 0.0503896 | − | 0.0217557i | ||||
\(546\) | −3.76931 | − | 4.06236i | −0.161312 | − | 0.173853i | ||||
\(547\) | 5.76978 | − | 30.4940i | 0.246698 | − | 1.30383i | −0.611800 | − | 0.791013i | \(-0.709554\pi\) |
0.858498 | − | 0.512817i | \(-0.171398\pi\) | |||||||
\(548\) | −1.01610 | − | 9.01814i | −0.0434057 | − | 0.385236i | ||||
\(549\) | 28.3423 | + | 26.2978i | 1.20962 | + | 1.12236i | ||||
\(550\) | 18.7573 | + | 5.18010i | 0.799813 | + | 0.220880i | ||||
\(551\) | 1.81435 | + | 7.94920i | 0.0772941 | + | 0.338647i | ||||
\(552\) | 2.19580 | + | 0.588363i | 0.0934594 | + | 0.0250424i | ||||
\(553\) | 2.27037 | + | 8.47315i | 0.0965461 | + | 0.360315i | ||||
\(554\) | −0.720510 | + | 2.33584i | −0.0306116 | + | 0.0992402i | ||||
\(555\) | 3.01502 | + | 1.91059i | 0.127981 | + | 0.0811000i | ||||
\(556\) | 0.291159 | − | 3.88525i | 0.0123479 | − | 0.164771i | ||||
\(557\) | −25.8133 | + | 9.03246i | −1.09374 | + | 0.382718i | −0.816067 | − | 0.577957i | \(-0.803850\pi\) |
−0.277677 | + | 0.960674i | \(0.589565\pi\) | |||||||
\(558\) | −13.9876 | + | 13.9876i | −0.592144 | + | 0.592144i | ||||
\(559\) | −9.44855 | + | 7.75334i | −0.399631 | + | 0.327931i | ||||
\(560\) | −2.22109 | − | 1.08010i | −0.0938580 | − | 0.0456427i | ||||
\(561\) | 15.8108 | − | 32.8316i | 0.667534 | − | 1.38615i | ||||
\(562\) | −12.2777 | + | 10.5658i | −0.517905 | + | 0.445693i | ||||
\(563\) | −1.17671 | + | 10.4436i | −0.0495922 | + | 0.440143i | 0.944241 | + | 0.329256i | \(0.106798\pi\) |
−0.993833 | + | 0.110887i | \(0.964631\pi\) | |||||||
\(564\) | 21.2494 | + | 6.55459i | 0.894763 | + | 0.275998i | ||||
\(565\) | 2.13564 | + | 3.15830i | 0.0898472 | + | 0.132871i | ||||
\(566\) | −24.6524 | + | 14.2331i | −1.03622 | + | 0.598261i | ||||
\(567\) | −2.18051 | + | 3.47027i | −0.0915729 | + | 0.145738i | ||||
\(568\) | 0.860563 | + | 1.16602i | 0.0361084 | + | 0.0489252i | ||||
\(569\) | 24.4183 | − | 26.3167i | 1.02367 | − | 1.10325i | 0.0290594 | − | 0.999578i | \(-0.490749\pi\) |
0.994611 | − | 0.103677i | \(-0.0330607\pi\) | |||||||
\(570\) | −4.83965 | + | 13.6631i | −0.202711 | + | 0.572283i | ||||
\(571\) | −20.3081 | − | 29.7865i | −0.849867 | − | 1.24653i | −0.967348 | − | 0.253451i | \(-0.918434\pi\) |
0.117481 | − | 0.993075i | \(-0.462518\pi\) | |||||||
\(572\) | −0.271241 | + | 7.24906i | −0.0113411 | + | 0.303099i | ||||
\(573\) | 3.03359 | − | 3.52509i | 0.126730 | − | 0.147263i | ||||
\(574\) | 3.86744 | + | 1.51786i | 0.161424 | + | 0.0633542i | ||||
\(575\) | 1.42507 | − | 3.97482i | 0.0594295 | − | 0.165761i | ||||
\(576\) | −4.05716 | + | 1.25147i | −0.169049 | + | 0.0521446i | ||||
\(577\) | −7.42811 | − | 39.2585i | −0.309236 | − | 1.63435i | −0.700200 | − | 0.713947i | \(-0.746906\pi\) |
0.390964 | − | 0.920406i | \(-0.372142\pi\) | |||||||
\(578\) | 2.91018 | − | 3.94316i | 0.121048 | − | 0.164014i | ||||
\(579\) | −5.77661 | − | 14.7186i | −0.240068 | − | 0.611682i | ||||
\(580\) | 5.33294 | + | 5.37389i | 0.221438 | + | 0.223139i | ||||
\(581\) | −2.86748 | − | 5.95439i | −0.118963 | − | 0.247030i | ||||
\(582\) | 8.00588 | + | 3.49293i | 0.331854 | + | 0.144787i | ||||
\(583\) | −32.0753 | − | 23.6726i | −1.32842 | − | 0.980419i | ||||
\(584\) | −8.60586 | + | 12.6225i | −0.356113 | + | 0.522322i | ||||
\(585\) | −2.70432 | + | 17.4879i | −0.111810 | + | 0.723036i | ||||
\(586\) | −23.2528 | − | 5.30730i | −0.960565 | − | 0.219243i | ||||
\(587\) | 13.7319 | − | 5.99117i | 0.566776 | − | 0.247282i | −0.0969098 | − | 0.995293i | \(-0.530896\pi\) |
0.663686 | + | 0.748011i | \(0.268991\pi\) | |||||||
\(588\) | −11.7930 | − | 10.1487i | −0.486337 | − | 0.418527i | ||||
\(589\) | −8.22474 | + | 7.63145i | −0.338895 | + | 0.314448i | ||||
\(590\) | 2.45662 | + | 16.7326i | 0.101137 | + | 0.688871i | ||||
\(591\) | −1.53558 | − | 1.22459i | −0.0631655 | − | 0.0503728i | ||||
\(592\) | 0.0221737 | + | 0.592605i | 0.000911334 | + | 0.0243559i | ||||
\(593\) | 26.0089 | − | 19.1954i | 1.06806 | − | 0.788263i | 0.0898634 | − | 0.995954i | \(-0.471357\pi\) |
0.978194 | + | 0.207692i | \(0.0665950\pi\) | |||||||
\(594\) | −12.7239 | + | 2.90415i | −0.522069 | + | 0.119159i | ||||
\(595\) | 6.49017 | + | 5.62859i | 0.266071 | + | 0.230750i | ||||
\(596\) | −13.8266 | − | 7.98277i | −0.566358 | − | 0.326987i | ||||
\(597\) | −58.6479 | + | 30.9963i | −2.40030 | + | 1.26859i | ||||
\(598\) | 1.56420 | + | 0.176243i | 0.0639649 | + | 0.00720711i | ||||
\(599\) | −35.8478 | − | 2.68642i | −1.46470 | − | 0.109764i | −0.681631 | − | 0.731696i | \(-0.738729\pi\) |
−0.783071 | + | 0.621932i | \(0.786348\pi\) | |||||||
\(600\) | 2.89445 | + | 13.1441i | 0.118165 | + | 0.536605i | ||||
\(601\) | − | 1.52175i | − | 0.0620735i | −0.999518 | − | 0.0310368i | \(-0.990119\pi\) | ||
0.999518 | − | 0.0310368i | \(-0.00988090\pi\) | |||||||
\(602\) | 5.04942 | − | 5.19250i | 0.205799 | − | 0.211630i | ||||
\(603\) | 46.8269 | + | 46.8269i | 1.90694 | + | 1.90694i | ||||
\(604\) | 3.66524 | + | 1.76509i | 0.149137 | + | 0.0718204i | ||||
\(605\) | 2.36561 | + | 8.96561i | 0.0961759 | + | 0.364504i | ||||
\(606\) | −26.4867 | − | 33.2133i | −1.07595 | − | 1.34920i | ||||
\(607\) | 4.45176 | + | 8.42314i | 0.180691 | + | 0.341885i | 0.957778 | − | 0.287509i | \(-0.0928271\pi\) |
−0.777087 | + | 0.629394i | \(0.783303\pi\) | |||||||
\(608\) | −2.32611 | + | 0.623280i | −0.0943363 | + | 0.0252773i | ||||
\(609\) | −5.03329 | − | 8.71791i | −0.203959 | − | 0.353267i | ||||
\(610\) | 19.8343 | + | 4.60693i | 0.803067 | + | 0.186529i | ||||
\(611\) | 15.2261 | + | 2.29496i | 0.615982 | + | 0.0928443i | ||||
\(612\) | 14.7582 | − | 0.552213i | 0.596565 | − | 0.0223219i | ||||
\(613\) | 8.06686 | − | 0.908917i | 0.325818 | − | 0.0367108i | 0.0524592 | − | 0.998623i | \(-0.483294\pi\) |
0.273358 | + | 0.961912i | \(0.411865\pi\) | |||||||
\(614\) | 3.41077 | − | 2.32543i | 0.137648 | − | 0.0938466i | ||||
\(615\) | −6.59061 | − | 21.6600i | −0.265759 | − | 0.873416i | ||||
\(616\) | −0.321240 | − | 4.28665i | −0.0129431 | − | 0.172714i | ||||
\(617\) | −11.2485 | − | 25.7818i | −0.452847 | − | 1.03794i | −0.981909 | − | 0.189353i | \(-0.939361\pi\) |
0.529063 | − | 0.848583i | \(-0.322544\pi\) | |||||||
\(618\) | −23.2255 | + | 14.5935i | −0.934265 | + | 0.587037i | ||||
\(619\) | −6.26953 | − | 20.3253i | −0.251994 | − | 0.816943i | −0.989866 | − | 0.142003i | \(-0.954646\pi\) |
0.737872 | − | 0.674940i | \(-0.235831\pi\) | |||||||
\(620\) | −2.73485 | + | 10.0527i | −0.109834 | + | 0.403725i | ||||
\(621\) | 0.422089 | + | 2.80038i | 0.0169379 | + | 0.112375i | ||||
\(622\) | −9.79710 | + | 22.4552i | −0.392828 | + | 0.900371i | ||||
\(623\) | 17.7771 | + | 6.22048i | 0.712225 | + | 0.249218i | ||||
\(624\) | −4.52042 | + | 2.17692i | −0.180962 | + | 0.0871465i | ||||
\(625\) | 24.7749 | − | 3.34744i | 0.990995 | − | 0.133897i | ||||
\(626\) | 29.5603 | − | 4.45549i | 1.18147 | − | 0.178077i | ||||
\(627\) | −24.7886 | + | 4.69025i | −0.989961 | + | 0.187311i | ||||
\(628\) | −10.9973 | + | 20.8079i | −0.438839 | + | 0.830324i | ||||
\(629\) | 0.459006 | − | 2.01104i | 0.0183018 | − | 0.0801853i | ||||
\(630\) | 0.432167 | − | 10.4773i | 0.0172180 | − | 0.417425i | ||||
\(631\) | 42.5893 | − | 3.19163i | 1.69545 | − | 0.127057i | 0.808373 | − | 0.588671i | \(-0.200349\pi\) |
0.887081 | + | 0.461615i | \(0.152730\pi\) | |||||||
\(632\) | 7.93639 | + | 0.296959i | 0.315693 | + | 0.0118124i | ||||
\(633\) | −13.8155 | − | 2.61404i | −0.549118 | − | 0.103899i | ||||
\(634\) | −2.28931 | + | 2.87071i | −0.0909202 | + | 0.114010i | ||||
\(635\) | 2.40027 | − | 0.931459i | 0.0952519 | − | 0.0369638i | ||||
\(636\) | 4.10945 | − | 27.2644i | 0.162950 | − | 1.08110i | ||||
\(637\) | −9.12216 | − | 5.73184i | −0.361433 | − | 0.227104i | ||||
\(638\) | −3.41052 | + | 12.7282i | −0.135024 | + | 0.503915i | ||||
\(639\) | −3.07650 | + | 5.32865i | −0.121704 | + | 0.210798i | ||||
\(640\) | −1.52717 | + | 1.63332i | −0.0603667 | + | 0.0645628i | ||||
\(641\) | 29.4075 | − | 23.4517i | 1.16153 | − | 0.926287i | 0.163346 | − | 0.986569i | \(-0.447771\pi\) |
0.998181 | + | 0.0602816i | \(0.0191999\pi\) | |||||||
\(642\) | 23.5615 | + | 27.3790i | 0.929898 | + | 1.08056i | ||||
\(643\) | −12.2624 | − | 35.0440i | −0.483583 | − | 1.38200i | −0.884780 | − | 0.466008i | \(-0.845692\pi\) |
0.401198 | − | 0.915992i | \(-0.368594\pi\) | |||||||
\(644\) | −0.932783 | −0.0367568 | ||||||||
\(645\) | −39.2642 | − | 4.02109i | −1.54603 | − | 0.158330i | ||||
\(646\) | 8.37656 | 0.329571 | ||||||||
\(647\) | 0.650559 | + | 1.85919i | 0.0255761 | + | 0.0730924i | 0.955964 | − | 0.293485i | \(-0.0948151\pi\) |
−0.930387 | + | 0.366578i | \(0.880529\pi\) | |||||||
\(648\) | 2.42039 | + | 2.81254i | 0.0950819 | + | 0.110487i | ||||
\(649\) | −23.0135 | + | 18.3527i | −0.903359 | + | 0.720405i | ||||
\(650\) | 3.33836 | + | 8.70113i | 0.130941 | + | 0.341286i | ||||
\(651\) | 6.92609 | − | 11.9963i | 0.271455 | − | 0.470174i | ||||
\(652\) | 5.02573 | − | 18.7563i | 0.196823 | − | 0.734552i | ||||
\(653\) | −1.41575 | − | 0.889574i | −0.0554026 | − | 0.0348117i | 0.504046 | − | 0.863677i | \(-0.331844\pi\) |
−0.559449 | + | 0.828865i | \(0.688987\pi\) | |||||||
\(654\) | −0.229892 | + | 1.52523i | −0.00898948 | + | 0.0596413i | ||||
\(655\) | −7.74920 | + | 17.5776i | −0.302786 | + | 0.686814i | ||||
\(656\) | 2.34524 | − | 2.94084i | 0.0915663 | − | 0.114821i | ||||
\(657\) | −63.7323 | − | 12.0588i | −2.48643 | − | 0.470459i | ||||
\(658\) | −9.11825 | − | 0.341181i | −0.355466 | − | 0.0133006i | ||||
\(659\) | 19.0501 | − | 1.42761i | 0.742088 | − | 0.0556118i | 0.301680 | − | 0.953409i | \(-0.402453\pi\) |
0.440409 | + | 0.897797i | \(0.354834\pi\) | |||||||
\(660\) | −17.2329 | + | 15.8676i | −0.670789 | + | 0.617644i | ||||
\(661\) | −2.63681 | + | 11.5526i | −0.102560 | + | 0.449345i | 0.897407 | + | 0.441204i | \(0.145449\pi\) |
−0.999967 | + | 0.00814117i | \(0.997409\pi\) | |||||||
\(662\) | −0.556118 | + | 1.05223i | −0.0216141 | + | 0.0408959i | ||||
\(663\) | 17.1478 | − | 3.24455i | 0.665967 | − | 0.126008i | ||||
\(664\) | −5.91664 | + | 0.891790i | −0.229610 | + | 0.0346082i | ||||
\(665\) | 0.467151 | − | 5.92929i | 0.0181153 | − | 0.229928i | ||||
\(666\) | −2.26849 | + | 1.09245i | −0.0879024 | + | 0.0423315i | ||||
\(667\) | 2.69891 | + | 0.944390i | 0.104502 | + | 0.0365669i | ||||
\(668\) | 5.47306 | − | 12.5444i | 0.211759 | − | 0.485357i | ||||
\(669\) | 9.94693 | + | 65.9936i | 0.384571 | + | 2.55146i | ||||
\(670\) | 33.6536 | + | 9.15556i | 1.30015 | + | 0.353710i | ||||
\(671\) | 10.4463 | + | 33.8661i | 0.403275 | + | 1.30739i | ||||
\(672\) | 2.51744 | − | 1.58181i | 0.0971124 | − | 0.0610198i | ||||
\(673\) | 16.1905 | + | 37.1091i | 0.624100 | + | 1.43045i | 0.885233 | + | 0.465149i | \(0.153999\pi\) |
−0.261133 | + | 0.965303i | \(0.584096\pi\) | |||||||
\(674\) | −1.08348 | − | 14.4580i | −0.0417341 | − | 0.556903i | ||||
\(675\) | −13.5666 | + | 9.85318i | −0.522177 | + | 0.379249i | ||||
\(676\) | 7.87061 | − | 5.36609i | 0.302716 | − | 0.206388i | ||||
\(677\) | 39.7593 | − | 4.47979i | 1.52807 | − | 0.172172i | 0.692446 | − | 0.721470i | \(-0.256533\pi\) |
0.835627 | + | 0.549297i | \(0.185105\pi\) | |||||||
\(678\) | −4.58642 | + | 0.171612i | −0.176141 | + | 0.00659071i | ||||
\(679\) | −3.54405 | − | 0.534180i | −0.136008 | − | 0.0205000i | ||||
\(680\) | 6.60154 | − | 4.11289i | 0.253157 | − | 0.157722i | ||||
\(681\) | −2.58411 | − | 4.47581i | −0.0990234 | − | 0.171513i | ||||
\(682\) | −17.5148 | + | 4.69307i | −0.670675 | + | 0.179707i | ||||
\(683\) | 9.60825 | + | 18.1797i | 0.367649 | + | 0.695627i | 0.996651 | − | 0.0817778i | \(-0.0260598\pi\) |
−0.629001 | + | 0.777404i | \(0.716536\pi\) | |||||||
\(684\) | −6.37493 | − | 7.99390i | −0.243751 | − | 0.305655i | ||||
\(685\) | 10.2135 | − | 17.5351i | 0.390239 | − | 0.669983i | ||||
\(686\) | 12.7179 | + | 6.12463i | 0.485572 | + | 0.233839i | ||||
\(687\) | 55.6361 | + | 55.6361i | 2.12265 | + | 2.12265i | ||||
\(688\) | −3.14477 | − | 5.75417i | −0.119893 | − | 0.219376i | ||||
\(689\) | − | 19.0922i | − | 0.727357i | ||||||
\(690\) | 3.15408 | + | 3.98627i | 0.120074 | + | 0.151755i | ||||
\(691\) | −21.6416 | − | 1.62181i | −0.823286 | − | 0.0616967i | −0.343577 | − | 0.939125i | \(-0.611639\pi\) |
−0.479709 | + | 0.877428i | \(0.659258\pi\) | |||||||
\(692\) | 17.8362 | + | 2.00965i | 0.678029 | + | 0.0763955i | ||||
\(693\) | 16.1362 | − | 8.52825i | 0.612965 | − | 0.323961i | ||||
\(694\) | −8.30157 | − | 4.79292i | −0.315123 | − | 0.181937i | ||||
\(695\) | 5.70797 | − | 6.58170i | 0.216516 | − | 0.249658i | ||||
\(696\) | −8.88545 | + | 2.02805i | −0.336802 | + | 0.0768729i | ||||
\(697\) | −10.5273 | + | 7.76948i | −0.398749 | + | 0.294290i | ||||
\(698\) | 0.699616 | + | 18.6976i | 0.0264809 | + | 0.707716i | ||||
\(699\) | −40.1262 | − | 31.9996i | −1.51771 | − | 1.21034i | ||||
\(700\) | −2.54312 | − | 4.90222i | −0.0961208 | − | 0.185287i | ||||
\(701\) | 34.1590 | − | 31.6949i | 1.29017 | − | 1.19710i | 0.322014 | − | 0.946735i | \(-0.395640\pi\) |
0.968152 | − | 0.250364i | \(-0.0805503\pi\) | |||||||
\(702\) | −4.73770 | − | 4.07712i | −0.178813 | − | 0.153881i | ||||
\(703\) | −1.30893 | + | 0.571082i | −0.0493674 | + | 0.0215388i | ||||
\(704\) | −3.79431 | − | 0.866026i | −0.143003 | − | 0.0326396i | ||||
\(705\) | 29.3741 | + | 40.1207i | 1.10629 | + | 1.51103i | ||||
\(706\) | −0.970304 | + | 1.42317i | −0.0365179 | + | 0.0535619i | ||||
\(707\) | 14.0252 | + | 10.3511i | 0.527472 | + | 0.389292i | ||||
\(708\) | −18.6601 | − | 8.14133i | −0.701290 | − | 0.305970i | ||||
\(709\) | −2.61121 | − | 5.42223i | −0.0980660 | − | 0.203636i | 0.846164 | − | 0.532922i | \(-0.178906\pi\) |
−0.944230 | + | 0.329286i | \(0.893192\pi\) | |||||||
\(710\) | −0.0123940 | + | 3.24048i | −0.000465139 | + | 0.121613i | ||||
\(711\) | 12.3192 | + | 31.3889i | 0.462008 | + | 1.17718i | ||||
\(712\) | 10.1257 | − | 13.7198i | 0.379475 | − | 0.514171i | ||||
\(713\) | 0.731498 | + | 3.86606i | 0.0273948 | + | 0.144785i | ||||
\(714\) | −9.88234 | + | 3.04830i | −0.369837 | + | 0.114080i | ||||
\(715\) | −10.1619 | + | 12.6431i | −0.380033 | + | 0.472826i | ||||
\(716\) | −14.3461 | − | 5.63042i | −0.536138 | − | 0.210419i | ||||
\(717\) | 11.1447 | − | 12.9503i | 0.416205 | − | 0.483639i | ||||
\(718\) | 0.170231 | − | 4.54951i | 0.00635295 | − | 0.169786i | ||||
\(719\) | −11.8612 | − | 17.3972i | −0.442348 | − | 0.648806i | 0.538716 | − | 0.842487i | \(-0.318910\pi\) |
−0.981064 | + | 0.193682i | \(0.937957\pi\) | |||||||
\(720\) | −8.94906 | − | 3.16988i | −0.333512 | − | 0.118134i | ||||
\(721\) | 7.65549 | − | 8.25066i | 0.285105 | − | 0.307270i | ||||
\(722\) | 7.83886 | + | 10.6213i | 0.291732 | + | 0.395283i | ||||
\(723\) | 12.7133 | − | 20.2331i | 0.472812 | − | 0.752476i | ||||
\(724\) | −14.8276 | + | 8.56071i | −0.551063 | + | 0.318156i | ||||
\(725\) | 2.39503 | + | 16.7588i | 0.0889491 | + | 0.622408i | ||||
\(726\) | −10.6664 | − | 3.29014i | −0.395866 | − | 0.122108i | ||||
\(727\) | −4.17515 | + | 37.0555i | −0.154848 | + | 1.37431i | 0.640406 | + | 0.768037i | \(0.278766\pi\) |
−0.795254 | + | 0.606276i | \(0.792662\pi\) | |||||||
\(728\) | 1.56046 | − | 1.34289i | 0.0578346 | − | 0.0497707i | ||||
\(729\) | −18.5853 | + | 38.5928i | −0.688345 | + | 1.42936i | ||||
\(730\) | −32.2864 | + | 11.1591i | −1.19497 | + | 0.413016i | ||||
\(731\) | 5.38569 | + | 22.1644i | 0.199197 | + | 0.819780i | ||||
\(732\) | −17.3328 | + | 17.3328i | −0.640640 | + | 0.640640i | ||||
\(733\) | −8.15639 | + | 2.85404i | −0.301263 | + | 0.105416i | −0.476678 | − | 0.879078i | \(-0.658159\pi\) |
0.175415 | + | 0.984495i | \(0.443873\pi\) | |||||||
\(734\) | −0.320252 | + | 4.27347i | −0.0118207 | + | 0.157737i | ||||
\(735\) | −7.61179 | − | 33.9474i | −0.280765 | − | 1.25217i | ||||
\(736\) | −0.248924 | + | 0.806993i | −0.00917547 | + | 0.0297462i | ||||
\(737\) | 15.7111 | + | 58.6348i | 0.578727 | + | 2.15984i | ||||
\(738\) | 15.4263 | + | 4.13346i | 0.567849 | + | 0.152155i | ||||
\(739\) | −5.92229 | − | 25.9473i | −0.217855 | − | 0.954486i | −0.959059 | − | 0.283206i | \(-0.908602\pi\) |
0.741204 | − | 0.671280i | \(-0.234255\pi\) | |||||||
\(740\) | −0.751165 | + | 1.09275i | −0.0276134 | + | 0.0401704i | ||||
\(741\) | −8.85708 | − | 8.21817i | −0.325373 | − | 0.301902i | ||||
\(742\) | 1.26674 | + | 11.2426i | 0.0465033 | + | 0.412728i | ||||
\(743\) | −9.35154 | + | 49.4241i | −0.343075 | + | 1.81319i | 0.207301 | + | 0.978277i | \(0.433532\pi\) |
−0.550376 | + | 0.834917i | \(0.685516\pi\) | |||||||
\(744\) | −8.53027 | − | 9.19345i | −0.312735 | − | 0.337048i | ||||
\(745\) | −14.1509 | − | 32.7757i | −0.518449 | − | 1.20081i | ||||
\(746\) | 9.60684 | − | 24.4778i | 0.351731 | − | 0.896197i | ||||
\(747\) | −13.5160 | − | 21.5107i | −0.494526 | − | 0.787034i | ||||
\(748\) | 11.9687 | + | 6.32565i | 0.437620 | + | 0.231289i | ||||
\(749\) | −12.2462 | − | 8.34931i | −0.447466 | − | 0.305077i | ||||
\(750\) | −12.3506 | + | 27.4443i | −0.450979 | + | 1.00212i | ||||
\(751\) | 5.11004 | − | 2.00554i | 0.186468 | − | 0.0731833i | −0.270270 | − | 0.962785i | \(-0.587113\pi\) |
0.456738 | + | 0.889601i | \(0.349018\pi\) | |||||||
\(752\) | −2.72849 | + | 7.79757i | −0.0994977 | + | 0.284348i | ||||
\(753\) | −10.7889 | + | 30.8329i | −0.393170 | + | 1.12361i | ||||
\(754\) | −5.87463 | + | 2.30562i | −0.213941 | + | 0.0839658i | ||||
\(755\) | 4.21975 | + | 8.05862i | 0.153572 | + | 0.293283i | ||||
\(756\) | 3.06033 | + | 2.08650i | 0.111303 | + | 0.0758853i | ||||
\(757\) | 0.0119556 | + | 0.00631874i | 0.000434535 | + | 0.000229659i | 0.467486 | − | 0.884001i | \(-0.345160\pi\) |
−0.467051 | + | 0.884230i | \(0.654684\pi\) | |||||||
\(758\) | 9.51316 | + | 15.1401i | 0.345534 | + | 0.549913i | ||||
\(759\) | −3.23227 | + | 8.23568i | −0.117324 | + | 0.298936i | ||||
\(760\) | −5.00504 | − | 1.98646i | −0.181552 | − | 0.0720563i | ||||
\(761\) | 7.89813 | + | 8.51216i | 0.286307 | + | 0.308566i | 0.859786 | − | 0.510655i | \(-0.170597\pi\) |
−0.573479 | + | 0.819220i | \(0.694407\pi\) | |||||||
\(762\) | −0.576217 | + | 3.04538i | −0.0208741 | + | 0.110322i | ||||
\(763\) | −0.0708640 | − | 0.628935i | −0.00256545 | − | 0.0227690i | ||||
\(764\) | 1.26651 | + | 1.17515i | 0.0458208 | + | 0.0425155i | ||||
\(765\) | 27.2139 | + | 18.7070i | 0.983921 | + | 0.676353i | ||||
\(766\) | 5.65577 | + | 24.7796i | 0.204351 | + | 0.895322i | ||||
\(767\) | −13.6169 | − | 3.64864i | −0.491679 | − | 0.131745i | ||||
\(768\) | −0.696689 | − | 2.60008i | −0.0251396 | − | 0.0938223i | ||||
\(769\) | −8.94728 | + | 29.0064i | −0.322647 | + | 1.04600i | 0.638422 | + | 0.769687i | \(0.279588\pi\) |
−0.961069 | + | 0.276309i | \(0.910889\pi\) | |||||||
\(770\) | 5.14505 | − | 8.11920i | 0.185415 | − | 0.292596i | ||||
\(771\) | 0.638416 | − | 8.51906i | 0.0229920 | − | 0.306807i | ||||
\(772\) | 5.54434 | − | 1.94005i | 0.199545 | − | 0.0698239i | ||||
\(773\) | 3.90302 | − | 3.90302i | 0.140382 | − | 0.140382i | −0.633424 | − | 0.773805i | \(-0.718351\pi\) |
0.773805 | + | 0.633424i | \(0.218351\pi\) | |||||||
\(774\) | 17.0532 | − | 22.0077i | 0.612963 | − | 0.791052i | ||||
\(775\) | −18.3237 | + | 14.3847i | −0.658206 | + | 0.516714i | ||||
\(776\) | −1.40792 | + | 2.92357i | −0.0505413 | + | 0.104950i | ||||
\(777\) | 1.33641 | − | 1.15007i | 0.0479434 | − | 0.0412586i | ||||
\(778\) | 3.33950 | − | 29.6389i | 0.119727 | − | 1.06261i | ||||
\(779\) | 8.65584 | + | 2.66997i | 0.310127 | + | 0.0956617i | ||||
\(780\) | −11.0153 | − | 2.12789i | −0.394413 | − | 0.0761906i | ||||
\(781\) | −4.88448 | + | 2.82006i | −0.174780 | + | 0.100910i | ||||
\(782\) | 1.56287 | − | 2.48729i | 0.0558881 | − | 0.0889454i | ||||
\(783\) | −6.74230 | − | 9.13549i | −0.240950 | − | 0.326476i | ||||
\(784\) | 3.93142 | − | 4.23706i | 0.140408 | − | 0.151324i | ||||
\(785\) | −47.5017 | + | 22.6522i | −1.69541 | + | 0.808492i | ||||
\(786\) | −13.0269 | − | 19.1069i | −0.464653 | − | 0.681520i | ||||
\(787\) | 1.70000 | − | 45.4335i | 0.0605985 | − | 1.61953i | −0.555264 | − | 0.831674i | \(-0.687383\pi\) |
0.615862 | − | 0.787854i | \(-0.288808\pi\) | |||||||
\(788\) | 0.475945 | − | 0.553058i | 0.0169548 | − | 0.0197019i | ||||
\(789\) | 34.7449 | + | 13.6364i | 1.23695 | + | 0.485468i | ||||
\(790\) | 13.8419 | + | 11.1254i | 0.492472 | + | 0.395824i | ||||
\(791\) | 1.79959 | − | 0.555100i | 0.0639860 | − | 0.0197371i | ||||
\(792\) | −3.07203 | − | 16.2361i | −0.109160 | − | 0.576923i | ||||
\(793\) | −10.0791 | + | 13.6567i | −0.357920 | + | 0.484964i | ||||
\(794\) | 1.11341 | + | 2.83693i | 0.0395136 | + | 0.100679i | ||||
\(795\) | 43.7622 | − | 43.4287i | 1.55208 | − | 1.54026i | ||||
\(796\) | −10.6924 | − | 22.2029i | −0.378981 | − | 0.786962i | ||||
\(797\) | −32.1167 | − | 14.0124i | −1.13763 | − | 0.496344i | −0.255249 | − | 0.966875i | \(-0.582157\pi\) |
−0.882383 | + | 0.470531i | \(0.844062\pi\) | |||||||
\(798\) | 5.76081 | + | 4.25167i | 0.203930 | + | 0.150507i | ||||
\(799\) | 16.1873 | − | 23.7424i | 0.572666 | − | 0.839947i | ||||
\(800\) | −4.91980 | + | 0.891951i | −0.173941 | + | 0.0315352i | ||||
\(801\) | 70.5830 | + | 16.1101i | 2.49393 | + | 0.569223i | ||||
\(802\) | 16.7216 | − | 7.29556i | 0.590460 | − | 0.257615i | ||||
\(803\) | −45.0663 | − | 38.7827i | −1.59035 | − | 1.36861i | ||||
\(804\) | −30.7772 | + | 28.5571i | −1.08543 | + | 1.00713i | ||||
\(805\) | −1.67345 | − | 1.24498i | −0.0589815 | − | 0.0438797i | ||||
\(806\) | −6.78953 | − | 5.41447i | −0.239151 | − | 0.190716i | ||||
\(807\) | 0.882357 | + | 23.5815i | 0.0310605 | + | 0.830108i | ||||
\(808\) | 12.6980 | − | 9.37153i | 0.446713 | − | 0.329689i | ||||
\(809\) | 28.3199 | − | 6.46382i | 0.995673 | − | 0.227256i | 0.306514 | − | 0.951866i | \(-0.400837\pi\) |
0.689159 | + | 0.724610i | \(0.257980\pi\) | |||||||
\(810\) | 0.588400 | + | 8.27631i | 0.0206743 | + | 0.290800i | ||||
\(811\) | −44.4788 | − | 25.6798i | −1.56186 | − | 0.901741i | −0.997069 | − | 0.0765085i | \(-0.975623\pi\) |
−0.564793 | − | 0.825233i | \(-0.691044\pi\) | |||||||
\(812\) | 3.30634 | − | 1.74745i | 0.116030 | − | 0.0613235i | ||||
\(813\) | −22.1866 | − | 2.49983i | −0.778119 | − | 0.0876730i | ||||
\(814\) | −2.30151 | − | 0.172474i | −0.0806679 | − | 0.00604522i | ||||
\(815\) | 34.0503 | − | 26.9418i | 1.19273 | − | 0.943729i | ||||
\(816\) | 9.36314i | 0.327776i | ||||||||
\(817\) | 10.1323 | − | 12.1122i | 0.354486 | − | 0.423751i | ||||
\(818\) | −5.60497 | − | 5.60497i | −0.195973 | − | 0.195973i | ||||
\(819\) | 7.87533 | + | 3.79256i | 0.275186 | + | 0.132523i | ||||
\(820\) | 8.13259 | − | 2.14582i | 0.284002 | − | 0.0749351i | ||||
\(821\) | 12.4712 | + | 15.6384i | 0.435247 | + | 0.545782i | 0.950284 | − | 0.311386i | \(-0.100793\pi\) |
−0.515037 | + | 0.857168i | \(0.672222\pi\) | |||||||
\(822\) | 11.4147 | + | 21.5977i | 0.398135 | + | 0.753308i | ||||
\(823\) | −7.68556 | + | 2.05934i | −0.267902 | + | 0.0717841i | −0.390269 | − | 0.920701i | \(-0.627618\pi\) |
0.122367 | + | 0.992485i | \(0.460951\pi\) | |||||||
\(824\) | −5.09506 | − | 8.82490i | −0.177495 | − | 0.307430i | ||||
\(825\) | −52.0949 | + | 5.46647i | −1.81371 | + | 0.190318i | ||||
\(826\) | 8.26049 | + | 1.24507i | 0.287419 | + | 0.0433215i | ||||
\(827\) | 37.4490 | − | 1.40124i | 1.30223 | − | 0.0487259i | 0.622749 | − | 0.782421i | \(-0.286016\pi\) |
0.679478 | + | 0.733695i | \(0.262206\pi\) | |||||||
\(828\) | −3.56308 | + | 0.401463i | −0.123826 | + | 0.0139518i | ||||
\(829\) | −23.8802 | + | 16.2812i | −0.829392 | + | 0.565470i | −0.901923 | − | 0.431896i | \(-0.857845\pi\) |
0.0725310 | + | 0.997366i | \(0.476892\pi\) | |||||||
\(830\) | −11.8050 | − | 6.29699i | −0.409757 | − | 0.218572i | ||||
\(831\) | −0.491719 | − | 6.56154i | −0.0170576 | − | 0.227617i | ||||
\(832\) | −0.745364 | − | 1.70839i | −0.0258409 | − | 0.0592279i | ||||
\(833\) | −17.0236 | + | 10.6966i | −0.589832 | + | 0.370616i | ||||
\(834\) | 3.09129 | + | 10.0217i | 0.107042 | + | 0.347023i | ||||
\(835\) | 26.5618 | − | 15.2003i | 0.919209 | − | 0.526028i | ||||
\(836\) | −1.39687 | − | 9.26763i | −0.0483118 | − | 0.320528i | ||||
\(837\) | 6.24787 | − | 14.3203i | 0.215958 | − | 0.494981i | ||||
\(838\) | −14.0604 | − | 4.91996i | −0.485710 | − | 0.169957i | ||||
\(839\) | 42.5657 | − | 20.4986i | 1.46953 | − | 0.707690i | 0.483671 | − | 0.875250i | \(-0.339303\pi\) |
0.985862 | + | 0.167561i | \(0.0535890\pi\) | |||||||
\(840\) | 6.62764 | + | 0.522171i | 0.228675 | + | 0.0180166i | ||||
\(841\) | 17.3403 | − | 2.61364i | 0.597943 | − | 0.0901254i | ||||
\(842\) | 18.6278 | − | 3.52458i | 0.641958 | − | 0.121465i | ||||
\(843\) | 20.3739 | − | 38.5494i | 0.701716 | − | 1.32771i | ||||
\(844\) | 1.16234 | − | 5.09255i | 0.0400094 | − | 0.175293i | ||||
\(845\) | 21.2823 | + | 0.877852i | 0.732133 | + | 0.0301990i | ||||
\(846\) | −34.9771 | + | 2.62117i | −1.20254 | + | 0.0901177i | ||||
\(847\) | 4.57699 | + | 0.171259i | 0.157267 | + | 0.00588453i | ||||
\(848\) | 10.0645 | + | 1.90431i | 0.345617 | + | 0.0653943i | ||||
\(849\) | 47.7751 | − | 59.9081i | 1.63964 | − | 2.05604i | ||||
\(850\) | 17.3329 | + | 1.43233i | 0.594513 | + | 0.0491285i | ||||
\(851\) | −0.0746422 | + | 0.495219i | −0.00255870 | + | 0.0169759i | ||||
\(852\) | −3.30303 | − | 2.07543i | −0.113160 | − | 0.0711031i | ||||
\(853\) | 8.21130 | − | 30.6450i | 0.281150 | − | 1.04927i | −0.670457 | − | 0.741948i | \(-0.733902\pi\) |
0.951607 | − | 0.307317i | \(-0.0994312\pi\) | |||||||
\(854\) | 5.02905 | − | 8.71057i | 0.172091 | − | 0.298070i | ||||
\(855\) | −0.767481 | − | 22.8500i | −0.0262473 | − | 0.781453i | ||||
\(856\) | −10.4914 | + | 8.36663i | −0.358589 | + | 0.285965i | ||||
\(857\) | 19.3729 | + | 22.5118i | 0.661767 | + | 0.768987i | 0.984095 | − | 0.177640i | \(-0.0568464\pi\) |
−0.322328 | + | 0.946628i | \(0.604465\pi\) | |||||||
\(858\) | −6.44926 | − | 18.4309i | −0.220174 | − | 0.629221i | ||||
\(859\) | 41.0733 | 1.40140 | 0.700701 | − | 0.713455i | \(-0.252871\pi\) | ||||
0.700701 | + | 0.713455i | \(0.252871\pi\) | |||||||
\(860\) | 2.03819 | − | 14.5205i | 0.0695019 | − | 0.495146i | ||||
\(861\) | −11.1834 | −0.381131 | ||||||||
\(862\) | −1.86426 | − | 5.32774i | −0.0634969 | − | 0.181464i | ||||
\(863\) | 25.3948 | + | 29.5093i | 0.864448 | + | 1.00451i | 0.999906 | + | 0.0137240i | \(0.00436863\pi\) |
−0.135457 | + | 0.990783i | \(0.543250\pi\) | |||||||
\(864\) | 2.62182 | − | 2.09083i | 0.0891960 | − | 0.0711314i | ||||
\(865\) | 29.3166 | + | 27.4112i | 0.996794 | + | 0.932010i | ||||
\(866\) | −9.59504 | + | 16.6191i | −0.326053 | + | 0.564740i | ||||
\(867\) | −3.41432 | + | 12.7424i | −0.115956 | + | 0.432755i | ||||
\(868\) | 4.35730 | + | 2.73787i | 0.147896 | + | 0.0929294i | ||||
\(869\) | −4.60677 | + | 30.5639i | −0.156274 | + | 1.03681i | ||||
\(870\) | −18.6477 | − | 8.22096i | −0.632217 | − | 0.278716i | ||||
\(871\) | −18.1262 | + | 22.7295i | −0.614183 | + | 0.770161i | ||||
\(872\) | −0.563032 | − | 0.106531i | −0.0190667 | − | 0.00360761i | ||||
\(873\) | −13.7676 | − | 0.515148i | −0.465963 | − | 0.0174351i | ||||
\(874\) | −2.02804 | + | 0.151981i | −0.0685995 | + | 0.00514082i | ||||
\(875\) | 1.98050 | − | 12.1891i | 0.0669531 | − | 0.412066i | ||||
\(876\) | 9.15067 | − | 40.0917i | 0.309172 | − | 1.35457i | ||||
\(877\) | 16.8757 | − | 31.9303i | 0.569851 | − | 1.07821i | −0.415807 | − | 0.909453i | \(-0.636501\pi\) |
0.985658 | − | 0.168757i | \(-0.0539754\pi\) | |||||||
\(878\) | −35.4891 | + | 6.71491i | −1.19770 | + | 0.226617i | ||||
\(879\) | 63.4845 | − | 9.56875i | 2.14128 | − | 0.322746i | ||||
\(880\) | −5.65127 | − | 6.61793i | −0.190504 | − | 0.223090i | ||||
\(881\) | 17.9658 | − | 8.65186i | 0.605282 | − | 0.291489i | −0.106032 | − | 0.994363i | \(-0.533815\pi\) |
0.711314 | + | 0.702874i | \(0.248100\pi\) | |||||||
\(882\) | 23.1637 | + | 8.10532i | 0.779961 | + | 0.272920i | ||||
\(883\) | 10.5169 | − | 24.1049i | 0.353921 | − | 0.811195i | −0.644975 | − | 0.764204i | \(-0.723132\pi\) |
0.998895 | − | 0.0469907i | \(-0.0149631\pi\) | |||||||
\(884\) | 0.966304 | + | 6.41101i | 0.0325003 | + | 0.215626i | ||||
\(885\) | −22.6109 | − | 39.5114i | −0.760057 | − | 1.32816i | ||||
\(886\) | −10.1089 | − | 32.7724i | −0.339617 | − | 1.10101i | ||||
\(887\) | −31.1814 | + | 19.5926i | −1.04697 | + | 0.657855i | −0.941654 | − | 0.336584i | \(-0.890728\pi\) |
−0.105317 | + | 0.994439i | \(0.533586\pi\) | |||||||
\(888\) | −0.638344 | − | 1.46310i | −0.0214214 | − | 0.0490984i | ||||
\(889\) | −0.0950400 | − | 1.26822i | −0.00318754 | − | 0.0425348i | ||||
\(890\) | 36.4776 | − | 11.0992i | 1.22273 | − | 0.372047i | ||||
\(891\) | −11.9320 | + | 8.13508i | −0.399736 | + | 0.272535i | ||||
\(892\) | −24.6375 | + | 2.77598i | −0.824926 | + | 0.0929468i | ||||
\(893\) | −19.8803 | + | 0.743870i | −0.665271 | + | 0.0248927i | ||||
\(894\) | 42.4961 | + | 6.40525i | 1.42128 | + | 0.214224i | ||||
\(895\) | −18.2226 | − | 29.2488i | −0.609114 | − | 0.977680i | ||||
\(896\) | 0.552261 | + | 0.956544i | 0.0184497 | + | 0.0319559i | ||||
\(897\) | −4.09278 | + | 1.09666i | −0.136654 | + | 0.0366163i | ||||
\(898\) | −8.24320 | − | 15.5969i | −0.275079 | − | 0.520475i | ||||
\(899\) | −9.83545 | − | 12.3333i | −0.328031 | − | 0.411337i | ||||
\(900\) | −11.8242 | − | 17.6312i | −0.394139 | − | 0.587705i | ||||
\(901\) | −32.1011 | − | 15.4591i | −1.06944 | − | 0.515016i | ||||
\(902\) | 10.3515 | + | 10.3515i | 0.344667 | + | 0.344667i | ||||
\(903\) | −7.54603 | + | 17.9767i | −0.251116 | + | 0.598227i | ||||
\(904\) | − | 1.70504i | − | 0.0567089i | ||||||
\(905\) | −38.0273 | − | 4.43200i | −1.26407 | − | 0.147325i | ||||
\(906\) | −10.9199 | − | 0.818335i | −0.362790 | − | 0.0271874i | ||||
\(907\) | −24.5242 | − | 2.76322i | −0.814314 | − | 0.0917511i | −0.305022 | − | 0.952345i | \(-0.598664\pi\) |
−0.509291 | + | 0.860594i | \(0.670092\pi\) | |||||||
\(908\) | 1.69749 | − | 0.897150i | 0.0563332 | − | 0.0297730i | ||||
\(909\) | 58.0290 | + | 33.5031i | 1.92470 | + | 1.11123i | ||||
\(910\) | 4.59188 | − | 0.326457i | 0.152219 | − | 0.0108220i | ||||
\(911\) | 22.0149 | − | 5.02475i | 0.729385 | − | 0.166477i | 0.158327 | − | 0.987387i | \(-0.449390\pi\) |
0.571059 | + | 0.820909i | \(0.306533\pi\) | |||||||
\(912\) | 5.21565 | − | 3.84933i | 0.172708 | − | 0.127464i | ||||
\(913\) | −0.870728 | − | 23.2707i | −0.0288169 | − | 0.770147i | ||||
\(914\) | −29.0386 | − | 23.1575i | −0.960510 | − | 0.765981i | ||||
\(915\) | −54.2299 | + | 7.96183i | −1.79278 | + | 0.263210i | ||||
\(916\) | −21.4271 | + | 19.8814i | −0.707971 | + | 0.656902i | ||||
\(917\) | 7.19232 | + | 6.18949i | 0.237511 | + | 0.204395i | ||||
\(918\) | −10.6913 | + | 4.66456i | −0.352865 | + | 0.153953i | ||||
\(919\) | −0.618822 | − | 0.141242i | −0.0204131 | − | 0.00465915i | 0.212302 | − | 0.977204i | \(-0.431904\pi\) |
−0.232715 | + | 0.972545i | \(0.574761\pi\) | |||||||
\(920\) | −1.52367 | + | 1.11554i | −0.0502339 | + | 0.0367784i | ||||
\(921\) | −6.25958 | + | 9.18112i | −0.206260 | + | 0.302528i | ||||
\(922\) | 5.16119 | + | 3.80914i | 0.169975 | + | 0.125447i | ||||
\(923\) | −2.47580 | − | 1.08018i | −0.0814920 | − | 0.0355546i | ||||
\(924\) | 5.02054 | + | 10.4253i | 0.165164 | + | 0.342966i | ||||
\(925\) | −2.80612 | + | 0.957873i | −0.0922645 | + | 0.0314947i | ||||
\(926\) | 12.3177 | + | 31.3849i | 0.404784 | + | 1.03137i | ||||
\(927\) | 25.6917 | − | 34.8110i | 0.843827 | − | 1.14334i | ||||
\(928\) | −0.629464 | − | 3.32680i | −0.0206632 | − | 0.109207i | ||||
\(929\) | 1.00803 | − | 0.310935i | 0.0330723 | − | 0.0102015i | −0.278175 | − | 0.960530i | \(-0.589729\pi\) |
0.311247 | + | 0.950329i | \(0.399253\pi\) | |||||||
\(930\) | −3.03324 | − | 27.8787i | −0.0994640 | − | 0.914180i | ||||
\(931\) | 12.9571 | + | 5.08529i | 0.424652 | + | 0.166664i | ||||
\(932\) | 12.4369 | − | 14.4519i | 0.407383 | − | 0.473388i | ||||
\(933\) | 2.46585 | − | 65.9013i | 0.0807284 | − | 2.15751i | ||||
\(934\) | −10.6856 | − | 15.6729i | −0.349644 | − | 0.512833i | ||||
\(935\) | 13.0296 | + | 27.3231i | 0.426113 | + | 0.893560i | ||||
\(936\) | 5.38275 | − | 5.80122i | 0.175941 | − | 0.189619i | ||||
\(937\) | 12.5096 | + | 16.9500i | 0.408672 | + | 0.553731i | 0.959798 | − | 0.280691i | \(-0.0905636\pi\) |
−0.551126 | + | 0.834422i | \(0.685802\pi\) | |||||||
\(938\) | 9.16566 | − | 14.5871i | 0.299269 | − | 0.476285i | ||||
\(939\) | −69.6883 | + | 40.2346i | −2.27419 | + | 1.31301i | ||||
\(940\) | −15.3024 | + | 10.3475i | −0.499109 | + | 0.337498i | ||||
\(941\) | −31.2790 | − | 9.64828i | −1.01967 | − | 0.314525i | −0.260535 | − | 0.965464i | \(-0.583899\pi\) |
−0.759130 | + | 0.650939i | \(0.774375\pi\) | |||||||
\(942\) | 7.09319 | − | 62.9538i | 0.231109 | − | 2.05115i | ||||
\(943\) | 2.40778 | − | 2.07206i | 0.0784082 | − | 0.0674757i | ||||
\(944\) | 3.28158 | − | 6.81427i | 0.106806 | − | 0.221786i | ||||
\(945\) | 2.70553 | + | 7.82788i | 0.0880110 | + | 0.254641i | ||||
\(946\) | 23.6241 | − | 9.65473i | 0.768085 | − | 0.313902i | ||||
\(947\) | −28.1510 | + | 28.1510i | −0.914786 | + | 0.914786i | −0.996644 | − | 0.0818580i | \(-0.973915\pi\) |
0.0818580 | + | 0.996644i | \(0.473915\pi\) | |||||||
\(948\) | −20.1785 | + | 7.06075i | −0.655366 | + | 0.229322i | ||||
\(949\) | 2.12794 | − | 28.3954i | 0.0690760 | − | 0.921755i | ||||
\(950\) | −6.32794 | − | 10.2440i | −0.205306 | − | 0.332359i | ||||
\(951\) | 2.91327 | − | 9.44458i | 0.0944691 | − | 0.306261i | ||||
\(952\) | −0.994373 | − | 3.71105i | −0.0322278 | − | 0.120276i | ||||
\(953\) | −6.44126 | − | 1.72593i | −0.208653 | − | 0.0559083i | 0.152979 | − | 0.988230i | \(-0.451113\pi\) |
−0.361631 | + | 0.932321i | \(0.617780\pi\) | |||||||
\(954\) | 9.67745 | + | 42.3997i | 0.313319 | + | 1.37274i | ||||
\(955\) | 0.703710 | + | 3.79868i | 0.0227715 | + | 0.122922i | ||||
\(956\) | 4.65285 | + | 4.31722i | 0.150484 | + | 0.139629i | ||||
\(957\) | −3.97143 | − | 35.2475i | −0.128378 | − | 1.13939i | ||||
\(958\) | −2.45059 | + | 12.9517i | −0.0791749 | + | 0.418450i | ||||
\(959\) | −6.81789 | − | 7.34794i | −0.220161 | − | 0.237277i | ||||
\(960\) | 2.22042 | − | 5.59452i | 0.0716637 | − | 0.180562i | ||||
\(961\) | −3.39509 | + | 8.65054i | −0.109519 | + | 0.279050i | ||||
\(962\) | −0.588075 | − | 0.935916i | −0.0189603 | − | 0.0301751i | ||||
\(963\) | −50.3719 | − | 26.6224i | −1.62321 | − | 0.857893i | ||||
\(964\) | 7.33470 | + | 5.00071i | 0.236235 | + | 0.161062i | ||||
\(965\) | 12.5362 | + | 3.91946i | 0.403553 | + | 0.126172i | ||||
\(966\) | 2.33730 | − | 0.917322i | 0.0752013 | − | 0.0295144i | ||||
\(967\) | 6.22623 | − | 17.7935i | 0.200222 | − | 0.572201i | −0.799368 | − | 0.600842i | \(-0.794832\pi\) |
0.999590 | + | 0.0286405i | \(0.00911781\pi\) | |||||||
\(968\) | 1.36959 | − | 3.91406i | 0.0440203 | − | 0.125803i | ||||
\(969\) | −20.9894 | + | 8.23772i | −0.674276 | + | 0.264634i | ||||
\(970\) | −6.42794 | + | 3.36588i | −0.206389 | + | 0.108072i | ||||
\(971\) | −4.45837 | − | 3.03967i | −0.143076 | − | 0.0975475i | 0.489667 | − | 0.871910i | \(-0.337118\pi\) |
−0.632743 | + | 0.774362i | \(0.718071\pi\) | |||||||
\(972\) | −17.7252 | − | 9.36805i | −0.568537 | − | 0.300480i | ||||
\(973\) | −2.28953 | − | 3.64377i | −0.0733991 | − | 0.116814i | ||||
\(974\) | −9.39193 | + | 23.9302i | −0.300937 | + | 0.766774i | ||||
\(975\) | −16.9219 | − | 18.5196i | −0.541936 | − | 0.593103i | ||||
\(976\) | −6.19385 | − | 6.67538i | −0.198260 | − | 0.213674i | ||||
\(977\) | 7.54230 | − | 39.8620i | 0.241300 | − | 1.27530i | −0.626906 | − | 0.779095i | \(-0.715679\pi\) |
0.868206 | − | 0.496204i | \(-0.165273\pi\) | |||||||
\(978\) | 5.85229 | + | 51.9405i | 0.187136 | + | 1.66088i | ||||
\(979\) | 48.6478 | + | 45.1386i | 1.55479 | + | 1.44264i | ||||
\(980\) | 12.7083 | − | 2.35423i | 0.405952 | − | 0.0752032i | ||||
\(981\) | −0.541378 | − | 2.37193i | −0.0172849 | − | 0.0757300i | ||||
\(982\) | −9.82753 | − | 2.63328i | −0.313609 | − | 0.0840313i | ||||
\(983\) | 7.62069 | + | 28.4408i | 0.243062 | + | 0.907121i | 0.974347 | + | 0.225049i | \(0.0722542\pi\) |
−0.731285 | + | 0.682072i | \(0.761079\pi\) | |||||||
\(984\) | −2.98444 | + | 9.67531i | −0.0951404 | + | 0.308438i | ||||
\(985\) | 1.59203 | − | 0.356970i | 0.0507263 | − | 0.0113740i | ||||
\(986\) | −0.880113 | + | 11.7443i | −0.0280285 | + | 0.374014i | ||||
\(987\) | 23.1834 | − | 8.11221i | 0.737935 | − | 0.258215i | ||||
\(988\) | 3.17393 | − | 3.17393i | 0.100976 | − | 0.100976i | ||||
\(989\) | −1.70607 | − | 5.26849i | −0.0542497 | − | 0.167528i | ||||
\(990\) | 16.1588 | − | 33.2284i | 0.513561 | − | 1.05607i | ||||
\(991\) | −20.1179 | + | 41.7753i | −0.639067 | + | 1.32704i | 0.289965 | + | 0.957037i | \(0.406356\pi\) |
−0.929032 | + | 0.370000i | \(0.879358\pi\) | |||||||
\(992\) | 3.53145 | − | 3.03906i | 0.112124 | − | 0.0964903i | ||||
\(993\) | 0.358693 | − | 3.18349i | 0.0113828 | − | 0.101025i | ||||
\(994\) | 1.52956 | + | 0.471806i | 0.0485146 | + | 0.0149648i | ||||
\(995\) | 10.4515 | − | 54.1041i | 0.331336 | − | 1.71521i | ||||
\(996\) | 13.9485 | − | 8.05316i | 0.441974 | − | 0.255174i | ||||
\(997\) | −15.3083 | + | 24.3630i | −0.484818 | + | 0.771583i | −0.996137 | − | 0.0878078i | \(-0.972014\pi\) |
0.511320 | + | 0.859390i | \(0.329157\pi\) | |||||||
\(998\) | −8.84812 | − | 11.9888i | −0.280082 | − | 0.379498i | ||||
\(999\) | 1.35262 | − | 1.45778i | 0.0427951 | − | 0.0461222i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 430.2.x.a.3.11 | ✓ | 528 | |
5.2 | odd | 4 | inner | 430.2.x.a.347.22 | yes | 528 | |
43.29 | odd | 42 | inner | 430.2.x.a.373.22 | yes | 528 | |
215.72 | even | 84 | inner | 430.2.x.a.287.11 | yes | 528 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.x.a.3.11 | ✓ | 528 | 1.1 | even | 1 | trivial | |
430.2.x.a.287.11 | yes | 528 | 215.72 | even | 84 | inner | |
430.2.x.a.347.22 | yes | 528 | 5.2 | odd | 4 | inner | |
430.2.x.a.373.22 | yes | 528 | 43.29 | odd | 42 | inner |