Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.38 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.38 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.723120 | − | 1.21536i | 0.511323 | − | 0.859389i | ||||
\(3\) | 1.73059 | − | 0.0711045i | 0.999157 | − | 0.0410522i | ||||
\(4\) | −0.954195 | − | 1.75770i | −0.477097 | − | 0.878850i | ||||
\(5\) | −1.84864 | − | 1.25798i | −0.826738 | − | 0.562587i | ||||
\(6\) | 1.16501 | − | 2.15471i | 0.475612 | − | 0.879655i | ||||
\(7\) | 2.80461 | 1.06004 | 0.530022 | − | 0.847984i | \(-0.322184\pi\) | ||||
0.530022 | + | 0.847984i | \(0.322184\pi\) | |||||||
\(8\) | −2.82623 | − | 0.111339i | −0.999225 | − | 0.0393644i | ||||
\(9\) | 2.98989 | − | 0.246105i | 0.996629 | − | 0.0820352i | ||||
\(10\) | −2.86569 | + | 1.33709i | −0.906211 | + | 0.422826i | ||||
\(11\) | −1.50008 | − | 1.08987i | −0.452291 | − | 0.328609i | 0.338209 | − | 0.941071i | \(-0.390179\pi\) |
−0.790500 | + | 0.612462i | \(0.790179\pi\) | |||||||
\(12\) | −1.77630 | − | 2.97401i | −0.512774 | − | 0.858524i | ||||
\(13\) | 2.01229 | + | 2.76969i | 0.558110 | + | 0.768173i | 0.991085 | − | 0.133234i | \(-0.0425360\pi\) |
−0.432975 | + | 0.901406i | \(0.642536\pi\) | |||||||
\(14\) | 2.02807 | − | 3.40861i | 0.542025 | − | 0.910989i | ||||
\(15\) | −3.28869 | − | 2.04561i | −0.849137 | − | 0.528173i | ||||
\(16\) | −2.17902 | + | 3.35438i | −0.544756 | + | 0.838595i | ||||
\(17\) | 0.345387 | − | 1.06299i | 0.0837686 | − | 0.257813i | −0.900396 | − | 0.435072i | \(-0.856723\pi\) |
0.984164 | + | 0.177259i | \(0.0567229\pi\) | |||||||
\(18\) | 1.86294 | − | 3.81175i | 0.439100 | − | 0.898438i | ||||
\(19\) | −7.11064 | − | 2.31039i | −1.63129 | − | 0.530039i | −0.656725 | − | 0.754130i | \(-0.728059\pi\) |
−0.974568 | + | 0.224090i | \(0.928059\pi\) | |||||||
\(20\) | −0.447192 | + | 4.44972i | −0.0999951 | + | 0.994988i | ||||
\(21\) | 4.85363 | − | 0.199420i | 1.05915 | − | 0.0435171i | ||||
\(22\) | −2.40932 | + | 1.03503i | −0.513670 | + | 0.220669i | ||||
\(23\) | −1.23722 | + | 1.70289i | −0.257979 | + | 0.355078i | −0.918286 | − | 0.395918i | \(-0.870426\pi\) |
0.660307 | + | 0.750996i | \(0.270426\pi\) | |||||||
\(24\) | −4.89897 | + | 0.00827497i | −0.999999 | + | 0.00168912i | ||||
\(25\) | 1.83496 | + | 4.65112i | 0.366992 | + | 0.930224i | ||||
\(26\) | 4.82129 | − | 0.442845i | 0.945533 | − | 0.0868490i | ||||
\(27\) | 5.15677 | − | 0.638502i | 0.992422 | − | 0.122880i | ||||
\(28\) | −2.67615 | − | 4.92967i | −0.505744 | − | 0.931619i | ||||
\(29\) | 3.56932 | − | 1.15974i | 0.662806 | − | 0.215359i | 0.0417538 | − | 0.999128i | \(-0.486706\pi\) |
0.621052 | + | 0.783769i | \(0.286706\pi\) | |||||||
\(30\) | −4.86426 | + | 2.51772i | −0.888089 | + | 0.459671i | ||||
\(31\) | 8.53887 | + | 2.77445i | 1.53363 | + | 0.498306i | 0.949610 | − | 0.313435i | \(-0.101480\pi\) |
0.584018 | + | 0.811741i | \(0.301480\pi\) | |||||||
\(32\) | 2.50108 | + | 5.07391i | 0.442132 | + | 0.896950i | ||||
\(33\) | −2.67352 | − | 1.77946i | −0.465400 | − | 0.309764i | ||||
\(34\) | −1.04216 | − | 1.18844i | −0.178729 | − | 0.203816i | ||||
\(35\) | −5.18472 | − | 3.52815i | −0.876378 | − | 0.596366i | ||||
\(36\) | −3.28552 | − | 5.02050i | −0.547586 | − | 0.836749i | ||||
\(37\) | 4.97454 | + | 6.84687i | 0.817809 | + | 1.12562i | 0.990071 | + | 0.140567i | \(0.0448924\pi\) |
−0.172262 | + | 0.985051i | \(0.555108\pi\) | |||||||
\(38\) | −7.94980 | + | 6.97130i | −1.28963 | + | 1.13089i | ||||
\(39\) | 3.67939 | + | 4.65011i | 0.589175 | + | 0.744613i | ||||
\(40\) | 5.08464 | + | 3.76118i | 0.803951 | + | 0.594695i | ||||
\(41\) | 3.81439 | + | 5.25005i | 0.595707 | + | 0.819921i | 0.995307 | − | 0.0967691i | \(-0.0308509\pi\) |
−0.399600 | + | 0.916690i | \(0.630851\pi\) | |||||||
\(42\) | 3.26739 | − | 6.04311i | 0.504170 | − | 0.932472i | ||||
\(43\) | −7.87791 | −1.20137 | −0.600685 | − | 0.799486i | \(-0.705105\pi\) | ||||
−0.600685 | + | 0.799486i | \(0.705105\pi\) | |||||||
\(44\) | −0.484300 | + | 3.67664i | −0.0730110 | + | 0.554275i | ||||
\(45\) | −5.83683 | − | 3.30627i | −0.870103 | − | 0.492869i | ||||
\(46\) | 1.17496 | + | 2.73507i | 0.173239 | + | 0.403264i | ||||
\(47\) | −0.999744 | + | 0.324837i | −0.145828 | + | 0.0473823i | −0.381021 | − | 0.924566i | \(-0.624428\pi\) |
0.235194 | + | 0.971949i | \(0.424428\pi\) | |||||||
\(48\) | −3.53249 | + | 5.95999i | −0.509871 | + | 0.860251i | ||||
\(49\) | 0.865841 | 0.123692 | ||||||||
\(50\) | 6.97968 | + | 1.13318i | 0.987075 | + | 0.160256i | ||||
\(51\) | 0.522140 | − | 1.86416i | 0.0731142 | − | 0.261035i | ||||
\(52\) | 2.94816 | − | 6.17983i | 0.408836 | − | 0.856988i | ||||
\(53\) | −0.595625 | − | 1.83314i | −0.0818153 | − | 0.251802i | 0.901779 | − | 0.432198i | \(-0.142262\pi\) |
−0.983594 | + | 0.180396i | \(0.942262\pi\) | |||||||
\(54\) | 2.95296 | − | 6.72904i | 0.401847 | − | 0.915707i | ||||
\(55\) | 1.40207 | + | 3.90186i | 0.189055 | + | 0.526127i | ||||
\(56\) | −7.92649 | − | 0.312264i | −1.05922 | − | 0.0417280i | ||||
\(57\) | −12.4699 | − | 3.49274i | −1.65168 | − | 0.462624i | ||||
\(58\) | 1.17154 | − | 5.17664i | 0.153831 | − | 0.679726i | ||||
\(59\) | −6.91365 | + | 5.02306i | −0.900081 | + | 0.653947i | −0.938487 | − | 0.345315i | \(-0.887772\pi\) |
0.0384059 | + | 0.999262i | \(0.487772\pi\) | |||||||
\(60\) | −0.457511 | + | 7.73244i | −0.0590644 | + | 0.998254i | ||||
\(61\) | −0.730226 | − | 0.530540i | −0.0934959 | − | 0.0679287i | 0.540055 | − | 0.841630i | \(-0.318403\pi\) |
−0.633551 | + | 0.773701i | \(0.718403\pi\) | |||||||
\(62\) | 9.54658 | − | 8.37154i | 1.21242 | − | 1.06319i | ||||
\(63\) | 8.38547 | − | 0.690230i | 1.05647 | − | 0.0869608i | ||||
\(64\) | 7.97521 | + | 0.629343i | 0.996901 | + | 0.0786678i | ||||
\(65\) | −0.235797 | − | 7.65159i | −0.0292470 | − | 0.949063i | ||||
\(66\) | −4.09596 | + | 1.96252i | −0.504178 | + | 0.241570i | ||||
\(67\) | 0.462733 | − | 1.42415i | 0.0565319 | − | 0.173987i | −0.918804 | − | 0.394715i | \(-0.870843\pi\) |
0.975335 | + | 0.220728i | \(0.0708433\pi\) | |||||||
\(68\) | −2.19799 | + | 0.407214i | −0.266545 | + | 0.0493820i | ||||
\(69\) | −2.02005 | + | 3.03498i | −0.243185 | + | 0.365369i | ||||
\(70\) | −8.03715 | + | 3.75002i | −0.960623 | + | 0.448213i | ||||
\(71\) | −1.11003 | − | 3.41631i | −0.131736 | − | 0.405442i | 0.863332 | − | 0.504636i | \(-0.168373\pi\) |
−0.995068 | + | 0.0991946i | \(0.968373\pi\) | |||||||
\(72\) | −8.47753 | + | 0.362659i | −0.999086 | + | 0.0427398i | ||||
\(73\) | 7.45432 | − | 10.2600i | 0.872462 | − | 1.20084i | −0.105990 | − | 0.994367i | \(-0.533801\pi\) |
0.978452 | − | 0.206474i | \(-0.0661987\pi\) | |||||||
\(74\) | 11.9186 | − | 1.09475i | 1.38551 | − | 0.127262i | ||||
\(75\) | 3.50628 | + | 7.91871i | 0.404870 | + | 0.914374i | ||||
\(76\) | 2.72397 | + | 14.7029i | 0.312461 | + | 1.68654i | ||||
\(77\) | −4.20714 | − | 3.05667i | −0.479448 | − | 0.348340i | ||||
\(78\) | 8.31220 | − | 1.10920i | 0.941171 | − | 0.125592i | ||||
\(79\) | −4.76272 | + | 1.54750i | −0.535848 | + | 0.174108i | −0.564425 | − | 0.825484i | \(-0.690902\pi\) |
0.0285776 | + | 0.999592i | \(0.490902\pi\) | |||||||
\(80\) | 8.24799 | − | 3.45987i | 0.922153 | − | 0.386825i | ||||
\(81\) | 8.87886 | − | 1.47166i | 0.986540 | − | 0.163517i | ||||
\(82\) | 9.13896 | − | 0.839431i | 1.00923 | − | 0.0926996i | ||||
\(83\) | −5.84619 | − | 1.89954i | −0.641703 | − | 0.208502i | −0.0299505 | − | 0.999551i | \(-0.509535\pi\) |
−0.611752 | + | 0.791050i | \(0.709535\pi\) | |||||||
\(84\) | −4.98183 | − | 8.34095i | −0.543563 | − | 0.910072i | ||||
\(85\) | −1.97572 | + | 1.53060i | −0.214297 | + | 0.166017i | ||||
\(86\) | −5.69668 | + | 9.57449i | −0.614288 | + | 1.03244i | ||||
\(87\) | 6.09457 | − | 2.26083i | 0.653406 | − | 0.242387i | ||||
\(88\) | 4.11823 | + | 3.24725i | 0.439005 | + | 0.346158i | ||||
\(89\) | −9.96050 | + | 13.7094i | −1.05581 | + | 1.45320i | −0.172150 | + | 0.985071i | \(0.555071\pi\) |
−0.883661 | + | 0.468128i | \(0.844929\pi\) | |||||||
\(90\) | −8.23903 | + | 4.70302i | −0.868470 | + | 0.495742i | ||||
\(91\) | 5.64370 | + | 7.76789i | 0.591621 | + | 0.814296i | ||||
\(92\) | 4.17373 | + | 0.549778i | 0.435141 | + | 0.0573183i | ||||
\(93\) | 14.9746 | + | 4.19428i | 1.55279 | + | 0.434927i | ||||
\(94\) | −0.328142 | + | 1.44994i | −0.0338453 | + | 0.149550i | ||||
\(95\) | 10.2386 | + | 13.2161i | 1.05046 | + | 1.35595i | ||||
\(96\) | 4.68912 | + | 8.60303i | 0.478581 | + | 0.878043i | ||||
\(97\) | −16.7757 | + | 5.45075i | −1.70331 | + | 0.553440i | −0.989198 | − | 0.146588i | \(-0.953171\pi\) |
−0.714115 | + | 0.700028i | \(0.753171\pi\) | |||||||
\(98\) | 0.626107 | − | 1.05231i | 0.0632464 | − | 0.106299i | ||||
\(99\) | −4.75330 | − | 2.88942i | −0.477724 | − | 0.290397i | ||||
\(100\) | 6.42437 | − | 7.66339i | 0.642437 | − | 0.766339i | ||||
\(101\) | 6.81866i | 0.678482i | 0.940700 | + | 0.339241i | \(0.110170\pi\) | ||||
−0.940700 | + | 0.339241i | \(0.889830\pi\) | |||||||
\(102\) | −1.88805 | − | 1.98260i | −0.186945 | − | 0.196307i | ||||
\(103\) | −4.18192 | − | 12.8706i | −0.412057 | − | 1.26818i | −0.914857 | − | 0.403778i | \(-0.867697\pi\) |
0.502800 | − | 0.864403i | \(-0.332303\pi\) | |||||||
\(104\) | −5.37884 | − | 8.05183i | −0.527439 | − | 0.789547i | ||||
\(105\) | −9.22350 | − | 5.73713i | −0.900122 | − | 0.559886i | ||||
\(106\) | −2.65864 | − | 0.601685i | −0.258230 | − | 0.0584409i | ||||
\(107\) | − | 9.81778i | − | 0.949120i | −0.880223 | − | 0.474560i | \(-0.842607\pi\) | ||
0.880223 | − | 0.474560i | \(-0.157393\pi\) | |||||||
\(108\) | −6.04286 | − | 8.45481i | −0.581475 | − | 0.813564i | ||||
\(109\) | 1.78582 | − | 1.29748i | 0.171051 | − | 0.124276i | −0.498966 | − | 0.866622i | \(-0.666287\pi\) |
0.670017 | + | 0.742346i | \(0.266287\pi\) | |||||||
\(110\) | 5.75603 | + | 1.11749i | 0.548816 | + | 0.106549i | ||||
\(111\) | 9.09573 | + | 11.4954i | 0.863329 | + | 1.09110i | ||||
\(112\) | −6.11132 | + | 9.40772i | −0.577465 | + | 0.888946i | ||||
\(113\) | 12.5977 | − | 9.15275i | 1.18509 | − | 0.861018i | 0.192353 | − | 0.981326i | \(-0.438388\pi\) |
0.992737 | + | 0.120308i | \(0.0383881\pi\) | |||||||
\(114\) | −13.2622 | + | 12.6297i | −1.24212 | + | 1.18288i | ||||
\(115\) | 4.42940 | − | 1.59163i | 0.413043 | − | 0.148421i | ||||
\(116\) | −5.44431 | − | 5.16718i | −0.505491 | − | 0.479760i | ||||
\(117\) | 6.69817 | + | 7.78581i | 0.619246 | + | 0.719799i | ||||
\(118\) | 1.10542 | + | 12.0348i | 0.101762 | + | 1.10790i | ||||
\(119\) | 0.968675 | − | 2.98128i | 0.0887983 | − | 0.273293i | ||||
\(120\) | 9.06686 | + | 6.14752i | 0.827687 | + | 0.561190i | ||||
\(121\) | −2.33677 | − | 7.19183i | −0.212433 | − | 0.653803i | ||||
\(122\) | −1.17284 | + | 0.503842i | −0.106184 | + | 0.0456158i | ||||
\(123\) | 6.97445 | + | 8.81447i | 0.628865 | + | 0.794774i | ||||
\(124\) | −3.27110 | − | 17.6562i | −0.293753 | − | 1.58557i | ||||
\(125\) | 2.45884 | − | 10.9066i | 0.219926 | − | 0.975517i | ||||
\(126\) | 5.22483 | − | 10.6905i | 0.465465 | − | 0.952384i | ||||
\(127\) | −1.96048 | − | 1.42437i | −0.173964 | − | 0.126392i | 0.497396 | − | 0.867524i | \(-0.334290\pi\) |
−0.671360 | + | 0.741131i | \(0.734290\pi\) | |||||||
\(128\) | 6.53191 | − | 9.23765i | 0.577345 | − | 0.816501i | ||||
\(129\) | −13.6334 | + | 0.560155i | −1.20036 | + | 0.0493189i | ||||
\(130\) | −9.46994 | − | 5.24644i | −0.830569 | − | 0.460143i | ||||
\(131\) | 1.27975 | − | 3.93867i | 0.111812 | − | 0.344123i | −0.879457 | − | 0.475979i | \(-0.842094\pi\) |
0.991269 | + | 0.131856i | \(0.0420937\pi\) | |||||||
\(132\) | −0.576700 | + | 6.39720i | −0.0501953 | + | 0.556805i | ||||
\(133\) | −19.9426 | − | 6.47974i | −1.72924 | − | 0.561865i | ||||
\(134\) | −1.39624 | − | 1.59222i | −0.120617 | − | 0.137546i | ||||
\(135\) | −10.3363 | − | 5.30677i | −0.889603 | − | 0.456734i | ||||
\(136\) | −1.09450 | + | 2.96581i | −0.0938523 | + | 0.254316i | ||||
\(137\) | −2.61762 | + | 1.90181i | −0.223638 | + | 0.162483i | −0.693963 | − | 0.720011i | \(-0.744137\pi\) |
0.470325 | + | 0.882494i | \(0.344137\pi\) | |||||||
\(138\) | 2.22786 | + | 4.64974i | 0.189648 | + | 0.395812i | ||||
\(139\) | 4.14436 | − | 5.70423i | 0.351520 | − | 0.483826i | −0.596241 | − | 0.802805i | \(-0.703340\pi\) |
0.947762 | + | 0.318979i | \(0.103340\pi\) | |||||||
\(140\) | −1.25420 | + | 12.4797i | −0.105999 | + | 1.05473i | ||||
\(141\) | −1.70705 | + | 0.633245i | −0.143760 | + | 0.0533289i | ||||
\(142\) | −4.95473 | − | 1.12132i | −0.415792 | − | 0.0940993i | ||||
\(143\) | − | 6.34789i | − | 0.530838i | ||||||
\(144\) | −5.68951 | + | 10.5655i | −0.474126 | + | 0.880457i | ||||
\(145\) | −8.05733 | − | 2.34619i | −0.669125 | − | 0.194841i | ||||
\(146\) | −7.07920 | − | 16.4789i | −0.585879 | − | 1.36380i | ||||
\(147\) | 1.49842 | − | 0.0615652i | 0.123587 | − | 0.00507781i | ||||
\(148\) | 7.28806 | − | 15.2770i | 0.599075 | − | 1.25576i | ||||
\(149\) | 20.1075i | 1.64727i | 0.567122 | + | 0.823634i | \(0.308057\pi\) | ||||
−0.567122 | + | 0.823634i | \(0.691943\pi\) | |||||||
\(150\) | 12.1595 | + | 1.46479i | 0.992822 | + | 0.119600i | ||||
\(151\) | − | 7.94771i | − | 0.646776i | −0.946267 | − | 0.323388i | \(-0.895178\pi\) | ||
0.946267 | − | 0.323388i | \(-0.104822\pi\) | |||||||
\(152\) | 19.8391 | + | 7.32139i | 1.60916 | + | 0.593844i | ||||
\(153\) | 0.771060 | − | 3.26323i | 0.0623365 | − | 0.263816i | ||||
\(154\) | −6.75722 | + | 2.90285i | −0.544512 | + | 0.233918i | ||||
\(155\) | −12.2951 | − | 15.8707i | −0.987568 | − | 1.27477i | ||||
\(156\) | 4.66264 | − | 10.9044i | 0.373310 | − | 0.873050i | ||||
\(157\) | − | 21.0927i | − | 1.68338i | −0.539959 | − | 0.841691i | \(-0.681560\pi\) | ||
0.539959 | − | 0.841691i | \(-0.318440\pi\) | |||||||
\(158\) | −1.56325 | + | 6.90744i | −0.124365 | + | 0.549527i | ||||
\(159\) | −1.16113 | − | 3.13007i | −0.0920834 | − | 0.248231i | ||||
\(160\) | 1.75930 | − | 12.5262i | 0.139085 | − | 0.990280i | ||||
\(161\) | −3.46993 | + | 4.77595i | −0.273469 | + | 0.376398i | ||||
\(162\) | 4.63189 | − | 11.8552i | 0.363916 | − | 0.931432i | ||||
\(163\) | −4.21409 | + | 3.06171i | −0.330073 | + | 0.239812i | −0.740461 | − | 0.672099i | \(-0.765393\pi\) |
0.410389 | + | 0.911911i | \(0.365393\pi\) | |||||||
\(164\) | 5.58835 | − | 11.7141i | 0.436377 | − | 0.914720i | ||||
\(165\) | 2.70385 | + | 6.65283i | 0.210495 | + | 0.517922i | ||||
\(166\) | −6.53612 | + | 5.73162i | −0.507301 | + | 0.444860i | ||||
\(167\) | −5.01679 | − | 1.63005i | −0.388211 | − | 0.126137i | 0.108407 | − | 0.994107i | \(-0.465425\pi\) |
−0.496618 | + | 0.867969i | \(0.665425\pi\) | |||||||
\(168\) | −13.7397 | + | 0.0232081i | −1.06004 | + | 0.00179054i | ||||
\(169\) | 0.395392 | − | 1.21689i | 0.0304148 | − | 0.0936070i | ||||
\(170\) | 0.431545 | + | 3.50802i | 0.0330980 | + | 0.269053i | ||||
\(171\) | −21.8286 | − | 5.15783i | −1.66928 | − | 0.394429i | ||||
\(172\) | 7.51706 | + | 13.8470i | 0.573171 | + | 1.05582i | ||||
\(173\) | −13.1367 | − | 9.54436i | −0.998764 | − | 0.725644i | −0.0369410 | − | 0.999317i | \(-0.511761\pi\) |
−0.961823 | + | 0.273673i | \(0.911761\pi\) | |||||||
\(174\) | 1.65938 | − | 9.04194i | 0.125797 | − | 0.685468i | ||||
\(175\) | 5.14635 | + | 13.0446i | 0.389027 | + | 0.986078i | ||||
\(176\) | 6.92455 | − | 2.65698i | 0.521958 | − | 0.200277i | ||||
\(177\) | −11.6075 | + | 9.18446i | −0.872476 | + | 0.690346i | ||||
\(178\) | 9.45926 | + | 22.0192i | 0.709002 | + | 1.65041i | ||||
\(179\) | −2.97647 | − | 9.16063i | −0.222472 | − | 0.684697i | −0.998538 | − | 0.0540466i | \(-0.982788\pi\) |
0.776067 | − | 0.630651i | \(-0.217212\pi\) | |||||||
\(180\) | −0.241952 | + | 13.4142i | −0.0180340 | + | 0.999837i | ||||
\(181\) | −3.65420 | + | 11.2465i | −0.271614 | + | 0.835943i | 0.718481 | + | 0.695546i | \(0.244838\pi\) |
−0.990095 | + | 0.140396i | \(0.955162\pi\) | |||||||
\(182\) | 13.5218 | − | 1.24201i | 1.00231 | − | 0.0920637i | ||||
\(183\) | −1.30145 | − | 0.866226i | −0.0962057 | − | 0.0640333i | ||||
\(184\) | 3.68629 | − | 4.67502i | 0.271757 | − | 0.344647i | ||||
\(185\) | −0.582908 | − | 18.9153i | −0.0428563 | − | 1.39068i | ||||
\(186\) | 15.9260 | − | 15.1665i | 1.16775 | − | 1.11206i | ||||
\(187\) | −1.67663 | + | 1.21814i | −0.122607 | + | 0.0890795i | ||||
\(188\) | 1.52492 | + | 1.44729i | 0.111216 | + | 0.105555i | ||||
\(189\) | 14.4627 | − | 1.79075i | 1.05201 | − | 0.130258i | ||||
\(190\) | 23.4661 | − | 2.88673i | 1.70241 | − | 0.209425i | ||||
\(191\) | −16.3988 | + | 11.9144i | −1.18657 | + | 0.862096i | −0.992898 | − | 0.118970i | \(-0.962041\pi\) |
−0.193675 | + | 0.981066i | \(0.562041\pi\) | |||||||
\(192\) | 13.8466 | + | 0.522062i | 0.999290 | + | 0.0376766i | ||||
\(193\) | 7.83027i | 0.563635i | 0.959468 | + | 0.281818i | \(0.0909373\pi\) | ||||
−0.959468 | + | 0.281818i | \(0.909063\pi\) | |||||||
\(194\) | −5.50622 | + | 24.3300i | −0.395323 | + | 1.74679i | ||||
\(195\) | −0.952131 | − | 13.2250i | −0.0681835 | − | 0.947062i | ||||
\(196\) | −0.826181 | − | 1.52189i | −0.0590129 | − | 0.108706i | ||||
\(197\) | 4.59514 | + | 14.1424i | 0.327390 | + | 1.00760i | 0.970350 | + | 0.241703i | \(0.0777060\pi\) |
−0.642960 | + | 0.765900i | \(0.722294\pi\) | |||||||
\(198\) | −6.94888 | + | 3.68756i | −0.493836 | + | 0.262064i | ||||
\(199\) | 14.5552i | 1.03179i | 0.856652 | + | 0.515894i | \(0.172540\pi\) | ||||
−0.856652 | + | 0.515894i | \(0.827460\pi\) | |||||||
\(200\) | −4.66817 | − | 13.3495i | −0.330090 | − | 0.943950i | ||||
\(201\) | 0.699539 | − | 2.49752i | 0.0493417 | − | 0.176161i | ||||
\(202\) | 8.28711 | + | 4.93071i | 0.583079 | + | 0.346923i | ||||
\(203\) | 10.0106 | − | 3.25263i | 0.702603 | − | 0.228290i | ||||
\(204\) | −3.77486 | + | 0.861007i | −0.264293 | + | 0.0602826i | ||||
\(205\) | −0.446963 | − | 14.5039i | −0.0312173 | − | 1.01300i | ||||
\(206\) | −18.6665 | − | 4.22448i | −1.30055 | − | 0.294333i | ||||
\(207\) | −3.28007 | + | 5.39595i | −0.227981 | + | 0.375044i | ||||
\(208\) | −13.6754 | + | 0.714784i | −0.948219 | + | 0.0495613i | ||||
\(209\) | 8.14851 | + | 11.2155i | 0.563644 | + | 0.775790i | ||||
\(210\) | −13.6424 | + | 7.06123i | −0.941413 | + | 0.487271i | ||||
\(211\) | 5.00382 | − | 6.88717i | 0.344477 | − | 0.474132i | −0.601265 | − | 0.799049i | \(-0.705337\pi\) |
0.945742 | + | 0.324917i | \(0.105337\pi\) | |||||||
\(212\) | −2.65378 | + | 2.79611i | −0.182262 | + | 0.192037i | ||||
\(213\) | −2.16392 | − | 5.83331i | −0.148269 | − | 0.399692i | ||||
\(214\) | −11.9321 | − | 7.09943i | −0.815663 | − | 0.485307i | ||||
\(215\) | 14.5634 | + | 9.91028i | 0.993219 | + | 0.675875i | ||||
\(216\) | −14.6453 | + | 1.23041i | −0.996489 | + | 0.0837185i | ||||
\(217\) | 23.9482 | + | 7.78125i | 1.62571 | + | 0.528226i | ||||
\(218\) | −0.285535 | − | 3.10865i | −0.0193389 | − | 0.210544i | ||||
\(219\) | 12.1708 | − | 18.2859i | 0.822429 | − | 1.23564i | ||||
\(220\) | 5.52045 | − | 6.18756i | 0.372189 | − | 0.417165i | ||||
\(221\) | 3.63917 | − | 1.18244i | 0.244797 | − | 0.0795394i | ||||
\(222\) | 20.5484 | − | 2.74202i | 1.37912 | − | 0.184032i | ||||
\(223\) | −1.64427 | − | 1.19463i | −0.110109 | − | 0.0799987i | 0.531368 | − | 0.847141i | \(-0.321678\pi\) |
−0.641477 | + | 0.767142i | \(0.721678\pi\) | |||||||
\(224\) | 7.01455 | + | 14.2304i | 0.468679 | + | 0.950806i | ||||
\(225\) | 6.63099 | + | 13.4547i | 0.442066 | + | 0.896982i | ||||
\(226\) | −2.01424 | − | 21.9292i | −0.133985 | − | 1.45871i | ||||
\(227\) | −15.1887 | + | 20.9054i | −1.00811 | + | 1.38754i | −0.0878937 | + | 0.996130i | \(0.528014\pi\) |
−0.920215 | + | 0.391413i | \(0.871986\pi\) | |||||||
\(228\) | 5.75952 | + | 25.2511i | 0.381434 | + | 1.67229i | ||||
\(229\) | −0.894624 | − | 2.75337i | −0.0591184 | − | 0.181948i | 0.917136 | − | 0.398574i | \(-0.130495\pi\) |
−0.976255 | + | 0.216626i | \(0.930495\pi\) | |||||||
\(230\) | 1.26858 | − | 6.53425i | 0.0836475 | − | 0.430856i | ||||
\(231\) | −7.49818 | − | 4.99069i | −0.493344 | − | 0.328363i | ||||
\(232\) | −10.2169 | + | 2.88030i | −0.670770 | + | 0.189101i | ||||
\(233\) | 5.73497 | − | 17.6504i | 0.375710 | − | 1.15632i | −0.567288 | − | 0.823520i | \(-0.692007\pi\) |
0.942998 | − | 0.332798i | \(-0.107993\pi\) | |||||||
\(234\) | 14.3061 | − | 2.51060i | 0.935222 | − | 0.164123i | ||||
\(235\) | 2.25681 | + | 0.657154i | 0.147218 | + | 0.0428680i | ||||
\(236\) | 15.4260 | + | 7.35915i | 1.00415 | + | 0.479040i | ||||
\(237\) | −8.13228 | + | 3.01674i | −0.528249 | + | 0.195958i | ||||
\(238\) | −2.92285 | − | 3.33311i | −0.189460 | − | 0.216053i | ||||
\(239\) | 7.59666 | + | 5.51929i | 0.491387 | + | 0.357013i | 0.805717 | − | 0.592300i | \(-0.201780\pi\) |
−0.314331 | + | 0.949314i | \(0.601780\pi\) | |||||||
\(240\) | 14.0279 | − | 6.57409i | 0.905496 | − | 0.424356i | ||||
\(241\) | 16.9165 | − | 12.2905i | 1.08969 | − | 0.791704i | 0.110340 | − | 0.993894i | \(-0.464806\pi\) |
0.979346 | + | 0.202190i | \(0.0648059\pi\) | |||||||
\(242\) | −10.4304 | − | 2.36055i | −0.670493 | − | 0.151742i | ||||
\(243\) | 15.2610 | − | 3.17816i | 0.978996 | − | 0.203879i | ||||
\(244\) | −0.235753 | + | 1.78976i | −0.0150925 | + | 0.114578i | ||||
\(245\) | −1.60063 | − | 1.08921i | −0.102261 | − | 0.0695873i | ||||
\(246\) | 15.7561 | − | 2.10253i | 1.00457 | − | 0.134053i | ||||
\(247\) | −7.90966 | − | 24.3434i | −0.503280 | − | 1.54894i | ||||
\(248\) | −23.8240 | − | 8.79196i | −1.51282 | − | 0.558290i | ||||
\(249\) | −10.2524 | − | 2.87164i | −0.649721 | − | 0.181983i | ||||
\(250\) | −11.4774 | − | 10.8752i | −0.725895 | − | 0.687806i | ||||
\(251\) | 8.22153 | 0.518938 | 0.259469 | − | 0.965751i | \(-0.416452\pi\) | ||||
0.259469 | + | 0.965751i | \(0.416452\pi\) | |||||||
\(252\) | −9.21459 | − | 14.0805i | −0.580465 | − | 0.886991i | ||||
\(253\) | 3.71187 | − | 1.20606i | 0.233363 | − | 0.0758244i | ||||
\(254\) | −3.14878 | + | 1.35269i | −0.197572 | + | 0.0848755i | ||||
\(255\) | −3.31033 | + | 2.78932i | −0.207301 | + | 0.174674i | ||||
\(256\) | −6.50371 | − | 14.6185i | −0.406482 | − | 0.913659i | ||||
\(257\) | −11.5351 | −0.719538 | −0.359769 | − | 0.933041i | \(-0.617145\pi\) | ||||
−0.359769 | + | 0.933041i | \(0.617145\pi\) | |||||||
\(258\) | −9.17783 | + | 16.9746i | −0.571386 | + | 1.05679i | ||||
\(259\) | 13.9516 | + | 19.2028i | 0.866913 | + | 1.19320i | ||||
\(260\) | −13.2242 | + | 7.71557i | −0.820131 | + | 0.478499i | ||||
\(261\) | 10.3864 | − | 4.34593i | 0.642905 | − | 0.269006i | ||||
\(262\) | −3.86148 | − | 4.40349i | −0.238563 | − | 0.272048i | ||||
\(263\) | 10.6114 | + | 14.6054i | 0.654330 | + | 0.900608i | 0.999277 | − | 0.0380143i | \(-0.0121033\pi\) |
−0.344947 | + | 0.938622i | \(0.612103\pi\) | |||||||
\(264\) | 7.35787 | + | 5.32684i | 0.452846 | + | 0.327844i | ||||
\(265\) | −1.20497 | + | 4.13811i | −0.0740205 | + | 0.254202i | ||||
\(266\) | −22.2961 | + | 19.5518i | −1.36706 | + | 1.19880i | ||||
\(267\) | −16.2627 | + | 24.4337i | −0.995263 | + | 1.49532i | ||||
\(268\) | −2.94476 | + | 0.545567i | −0.179880 | + | 0.0333258i | ||||
\(269\) | 6.82911 | + | 2.21891i | 0.416378 | + | 0.135289i | 0.509711 | − | 0.860346i | \(-0.329752\pi\) |
−0.0933334 | + | 0.995635i | \(0.529752\pi\) | |||||||
\(270\) | −13.9240 | + | 8.72483i | −0.847387 | + | 0.530976i | ||||
\(271\) | 9.40434 | − | 3.05565i | 0.571273 | − | 0.185618i | −0.00911443 | − | 0.999958i | \(-0.502901\pi\) |
0.580387 | + | 0.814341i | \(0.302901\pi\) | |||||||
\(272\) | 2.81307 | + | 3.47484i | 0.170567 | + | 0.210693i | ||||
\(273\) | 10.3193 | + | 13.0417i | 0.624551 | + | 0.789322i | ||||
\(274\) | 0.418531 | + | 4.55659i | 0.0252844 | + | 0.275274i | ||||
\(275\) | 2.31654 | − | 8.97693i | 0.139693 | − | 0.541329i | ||||
\(276\) | 7.26211 | + | 0.654670i | 0.437128 | + | 0.0394065i | ||||
\(277\) | 1.96968 | − | 2.71103i | 0.118347 | − | 0.162890i | −0.745734 | − | 0.666244i | \(-0.767901\pi\) |
0.864080 | + | 0.503354i | \(0.167901\pi\) | |||||||
\(278\) | −3.93581 | − | 9.16173i | −0.236054 | − | 0.549484i | ||||
\(279\) | 26.2131 | + | 6.19383i | 1.56934 | + | 0.370815i | ||||
\(280\) | 14.2604 | + | 10.5486i | 0.852223 | + | 0.630402i | ||||
\(281\) | 12.3397 | + | 4.00940i | 0.736122 | + | 0.239181i | 0.652999 | − | 0.757359i | \(-0.273510\pi\) |
0.0831232 | + | 0.996539i | \(0.473510\pi\) | |||||||
\(282\) | −0.464782 | + | 2.53259i | −0.0276774 | + | 0.150814i | ||||
\(283\) | 0.0785686 | − | 0.241809i | 0.00467042 | − | 0.0143741i | −0.948694 | − | 0.316195i | \(-0.897595\pi\) |
0.953365 | + | 0.301821i | \(0.0975945\pi\) | |||||||
\(284\) | −4.94567 | + | 5.21092i | −0.293472 | + | 0.309211i | ||||
\(285\) | 18.6586 | + | 22.1437i | 1.10524 | + | 1.31168i | ||||
\(286\) | −7.71497 | − | 4.59029i | −0.456196 | − | 0.271429i | ||||
\(287\) | 10.6979 | + | 14.7244i | 0.631475 | + | 0.869151i | ||||
\(288\) | 8.72666 | + | 14.5549i | 0.514223 | + | 0.857656i | ||||
\(289\) | 12.7426 | + | 9.25806i | 0.749567 | + | 0.544592i | ||||
\(290\) | −8.67788 | + | 8.09597i | −0.509583 | + | 0.475412i | ||||
\(291\) | −28.6443 | + | 10.6258i | −1.67916 | + | 0.622898i | ||||
\(292\) | −25.1469 | − | 3.31243i | −1.47161 | − | 0.193845i | ||||
\(293\) | −10.3849 | −0.606691 | −0.303345 | − | 0.952881i | \(-0.598104\pi\) | ||||
−0.303345 | + | 0.952881i | \(0.598104\pi\) | |||||||
\(294\) | 1.00871 | − | 1.86563i | 0.0588292 | − | 0.108806i | ||||
\(295\) | 19.0998 | − | 0.588594i | 1.11203 | − | 0.0342693i | ||||
\(296\) | −13.2969 | − | 19.9047i | −0.772866 | − | 1.15694i | ||||
\(297\) | −8.43146 | − | 4.66242i | −0.489243 | − | 0.270541i | ||||
\(298\) | 24.4378 | + | 14.5401i | 1.41564 | + | 0.842286i | ||||
\(299\) | −7.20614 | −0.416742 | ||||||||
\(300\) | 10.5731 | − | 13.7190i | 0.610435 | − | 0.792066i | ||||
\(301\) | −22.0945 | −1.27350 | ||||||||
\(302\) | −9.65932 | − | 5.74715i | −0.555832 | − | 0.330711i | ||||
\(303\) | 0.484837 | + | 11.8003i | 0.0278532 | + | 0.677910i | ||||
\(304\) | 23.2442 | − | 18.8174i | 1.33315 | − | 1.07925i | ||||
\(305\) | 0.682517 | + | 1.89939i | 0.0390808 | + | 0.108759i | ||||
\(306\) | −3.40842 | − | 3.29682i | −0.194847 | − | 0.188467i | ||||
\(307\) | −17.0538 | −0.973314 | −0.486657 | − | 0.873593i | \(-0.661784\pi\) | ||||
−0.486657 | + | 0.873593i | \(0.661784\pi\) | |||||||
\(308\) | −1.35827 | + | 10.3116i | −0.0773948 | + | 0.587555i | ||||
\(309\) | −8.15236 | − | 21.9764i | −0.463771 | − | 1.25020i | ||||
\(310\) | −28.1795 | + | 3.46655i | −1.60049 | + | 0.196887i | ||||
\(311\) | 19.8576 | + | 14.4274i | 1.12602 | + | 0.818102i | 0.985111 | − | 0.171920i | \(-0.0549970\pi\) |
0.140910 | + | 0.990022i | \(0.454997\pi\) | |||||||
\(312\) | −9.88109 | − | 13.5520i | −0.559407 | − | 0.767229i | ||||
\(313\) | 5.67018 | + | 7.80433i | 0.320497 | + | 0.441127i | 0.938619 | − | 0.344956i | \(-0.112106\pi\) |
−0.618122 | + | 0.786083i | \(0.712106\pi\) | |||||||
\(314\) | −25.6352 | − | 15.2526i | −1.44668 | − | 0.860752i | ||||
\(315\) | −16.3700 | − | 9.27279i | −0.922347 | − | 0.522463i | ||||
\(316\) | 7.26461 | + | 6.89482i | 0.408666 | + | 0.387864i | ||||
\(317\) | 5.41442 | − | 16.6639i | 0.304104 | − | 0.935936i | −0.675906 | − | 0.736988i | \(-0.736247\pi\) |
0.980010 | − | 0.198948i | \(-0.0637525\pi\) | |||||||
\(318\) | −4.64379 | − | 0.852230i | −0.260411 | − | 0.0477907i | ||||
\(319\) | −6.61824 | − | 2.15040i | −0.370550 | − | 0.120399i | ||||
\(320\) | −13.9516 | − | 11.1961i | −0.779919 | − | 0.625881i | ||||
\(321\) | −0.698088 | − | 16.9906i | −0.0389635 | − | 0.948320i | ||||
\(322\) | 3.29532 | + | 7.67080i | 0.183641 | + | 0.427477i | ||||
\(323\) | −4.91184 | + | 6.76057i | −0.273302 | + | 0.376168i | ||||
\(324\) | −11.0589 | − | 14.2021i | −0.614383 | − | 0.789008i | ||||
\(325\) | −9.18966 | + | 14.4417i | −0.509751 | + | 0.801081i | ||||
\(326\) | 0.673790 | + | 7.33561i | 0.0373178 | + | 0.406282i | ||||
\(327\) | 2.99827 | − | 2.37238i | 0.165805 | − | 0.131193i | ||||
\(328\) | −10.1958 | − | 15.2626i | −0.562970 | − | 0.842735i | ||||
\(329\) | −2.80389 | + | 0.911040i | −0.154584 | + | 0.0502273i | ||||
\(330\) | 10.0408 | + | 1.52464i | 0.552727 | + | 0.0839287i | ||||
\(331\) | −24.1449 | − | 7.84515i | −1.32712 | − | 0.431208i | −0.442188 | − | 0.896922i | \(-0.645798\pi\) |
−0.884935 | + | 0.465714i | \(0.845798\pi\) | |||||||
\(332\) | 2.23958 | + | 12.0884i | 0.122913 | + | 0.663436i | ||||
\(333\) | 16.5584 | + | 19.2471i | 0.907393 | + | 1.05473i | ||||
\(334\) | −5.60884 | + | 4.91848i | −0.306902 | + | 0.269127i | ||||
\(335\) | −2.64698 | + | 2.05063i | −0.144620 | + | 0.112038i | ||||
\(336\) | −9.90725 | + | 16.7155i | −0.540485 | + | 0.911903i | ||||
\(337\) | 6.24918 | + | 8.60126i | 0.340415 | + | 0.468540i | 0.944562 | − | 0.328332i | \(-0.106486\pi\) |
−0.604148 | + | 0.796872i | \(0.706486\pi\) | |||||||
\(338\) | −1.19304 | − | 1.36050i | −0.0648930 | − | 0.0740015i | ||||
\(339\) | 21.1506 | − | 16.7354i | 1.14874 | − | 0.908943i | ||||
\(340\) | 4.57556 | + | 2.01224i | 0.248145 | + | 0.109129i | ||||
\(341\) | −9.78520 | − | 13.4682i | −0.529898 | − | 0.729343i | ||||
\(342\) | −22.0533 | + | 22.7999i | −1.19251 | + | 1.23288i | ||||
\(343\) | −17.2039 | −0.928925 | ||||||||
\(344\) | 22.2648 | + | 0.877122i | 1.20044 | + | 0.0472913i | ||||
\(345\) | 7.55230 | − | 3.06942i | 0.406602 | − | 0.165252i | ||||
\(346\) | −21.0992 | + | 9.06407i | −1.13430 | + | 0.487287i | ||||
\(347\) | 30.8425 | − | 10.0213i | 1.65571 | − | 0.537974i | 0.675746 | − | 0.737135i | \(-0.263822\pi\) |
0.979967 | + | 0.199161i | \(0.0638217\pi\) | |||||||
\(348\) | −9.78927 | − | 8.55515i | −0.524760 | − | 0.458604i | ||||
\(349\) | −3.26785 | −0.174924 | −0.0874621 | − | 0.996168i | \(-0.527876\pi\) | ||||
−0.0874621 | + | 0.996168i | \(0.527876\pi\) | |||||||
\(350\) | 19.5753 | + | 3.17814i | 1.04634 | + | 0.169879i | ||||
\(351\) | 12.1454 | + | 12.9978i | 0.648273 | + | 0.693771i | ||||
\(352\) | 1.77810 | − | 10.3371i | 0.0947731 | − | 0.550971i | ||||
\(353\) | 5.15615 | + | 15.8690i | 0.274434 | + | 0.844621i | 0.989369 | + | 0.145430i | \(0.0464565\pi\) |
−0.714935 | + | 0.699191i | \(0.753544\pi\) | |||||||
\(354\) | 2.76877 | + | 20.7488i | 0.147158 | + | 1.10279i | ||||
\(355\) | −2.24562 | + | 7.71193i | −0.119185 | + | 0.409307i | ||||
\(356\) | 33.6014 | + | 4.42609i | 1.78087 | + | 0.234582i | ||||
\(357\) | 1.46440 | − | 5.22825i | 0.0775042 | − | 0.276708i | ||||
\(358\) | −13.2858 | − | 3.00676i | −0.702176 | − | 0.158912i | ||||
\(359\) | 7.34053 | − | 5.33320i | 0.387418 | − | 0.281476i | −0.376979 | − | 0.926222i | \(-0.623037\pi\) |
0.764397 | + | 0.644746i | \(0.223037\pi\) | |||||||
\(360\) | 16.1281 | + | 9.99415i | 0.850028 | + | 0.526738i | ||||
\(361\) | 29.8520 | + | 21.6888i | 1.57116 | + | 1.14151i | ||||
\(362\) | 11.0261 | + | 12.5737i | 0.579517 | + | 0.660859i | ||||
\(363\) | −4.55536 | − | 12.2800i | −0.239094 | − | 0.644531i | ||||
\(364\) | 8.26843 | − | 17.3320i | 0.433384 | − | 0.908445i | ||||
\(365\) | −26.6873 | + | 9.58965i | −1.39687 | + | 0.501945i | ||||
\(366\) | −1.99388 | + | 0.955339i | −0.104222 | + | 0.0499364i | ||||
\(367\) | 3.80297 | − | 11.7043i | 0.198513 | − | 0.610961i | −0.801404 | − | 0.598123i | \(-0.795913\pi\) |
0.999918 | − | 0.0128379i | \(-0.00408653\pi\) | |||||||
\(368\) | −3.01621 | − | 7.86076i | −0.157231 | − | 0.409771i | ||||
\(369\) | 12.6967 | + | 14.7583i | 0.660962 | + | 0.768288i | ||||
\(370\) | −23.4104 | − | 12.9696i | −1.21705 | − | 0.674257i | ||||
\(371\) | −1.67050 | − | 5.14126i | −0.0867278 | − | 0.266921i | ||||
\(372\) | −6.91637 | − | 30.3230i | −0.358597 | − | 1.57217i | ||||
\(373\) | −0.909305 | + | 1.25155i | −0.0470820 | + | 0.0648029i | −0.831909 | − | 0.554912i | \(-0.812752\pi\) |
0.784827 | + | 0.619715i | \(0.212752\pi\) | |||||||
\(374\) | 0.268077 | + | 2.91857i | 0.0138619 | + | 0.150916i | ||||
\(375\) | 3.47974 | − | 19.0497i | 0.179693 | − | 0.983723i | ||||
\(376\) | 2.86168 | − | 0.806753i | 0.147580 | − | 0.0416051i | ||||
\(377\) | 10.3946 | + | 7.55215i | 0.535351 | + | 0.388955i | ||||
\(378\) | 8.28189 | − | 18.8724i | 0.425975 | − | 0.970689i | ||||
\(379\) | 6.13362 | − | 1.99293i | 0.315063 | − | 0.102370i | −0.147217 | − | 0.989104i | \(-0.547032\pi\) |
0.462280 | + | 0.886734i | \(0.347032\pi\) | |||||||
\(380\) | 13.4604 | − | 30.6072i | 0.690504 | − | 1.57012i | ||||
\(381\) | −3.49406 | − | 2.32560i | −0.179006 | − | 0.119144i | ||||
\(382\) | 2.62200 | + | 28.5459i | 0.134153 | + | 1.46054i | ||||
\(383\) | −13.7803 | − | 4.47749i | −0.704140 | − | 0.228789i | −0.0650064 | − | 0.997885i | \(-0.520707\pi\) |
−0.639133 | + | 0.769096i | \(0.720707\pi\) | |||||||
\(384\) | 10.6472 | − | 16.4510i | 0.543339 | − | 0.839513i | ||||
\(385\) | 3.93227 | + | 10.9432i | 0.200407 | + | 0.557717i | ||||
\(386\) | 9.51659 | + | 5.66223i | 0.484382 | + | 0.288200i | ||||
\(387\) | −23.5541 | + | 1.93880i | −1.19732 | + | 0.0985546i | ||||
\(388\) | 25.5881 | + | 24.2856i | 1.29904 | + | 1.23291i | ||||
\(389\) | 12.9514 | − | 17.8261i | 0.656663 | − | 0.903819i | −0.342702 | − | 0.939444i | \(-0.611342\pi\) |
0.999365 | + | 0.0356248i | \(0.0113421\pi\) | |||||||
\(390\) | −16.7616 | − | 8.40608i | −0.848758 | − | 0.425659i | ||||
\(391\) | 1.38284 | + | 1.90331i | 0.0699332 | + | 0.0962548i | ||||
\(392\) | −2.44707 | − | 0.0964023i | −0.123596 | − | 0.00486905i | ||||
\(393\) | 1.93467 | − | 6.90722i | 0.0975911 | − | 0.348423i | ||||
\(394\) | 20.5109 | + | 4.64190i | 1.03332 | + | 0.233855i | ||||
\(395\) | 10.7513 | + | 3.13064i | 0.540956 | + | 0.157520i | ||||
\(396\) | −0.543162 | + | 11.1119i | −0.0272949 | + | 0.558396i | ||||
\(397\) | −17.5994 | + | 5.71840i | −0.883290 | + | 0.286998i | −0.715323 | − | 0.698794i | \(-0.753720\pi\) |
−0.167967 | + | 0.985793i | \(0.553720\pi\) | |||||||
\(398\) | 17.6898 | + | 10.5251i | 0.886707 | + | 0.527577i | ||||
\(399\) | −34.9732 | − | 9.79577i | −1.75085 | − | 0.490402i | ||||
\(400\) | −19.6000 | − | 3.97976i | −0.980002 | − | 0.198988i | ||||
\(401\) | 17.2591i | 0.861877i | 0.902381 | + | 0.430939i | \(0.141817\pi\) | ||||
−0.902381 | + | 0.430939i | \(0.858183\pi\) | |||||||
\(402\) | −2.52953 | − | 2.65620i | −0.126161 | − | 0.132479i | ||||
\(403\) | 9.49838 | + | 29.2330i | 0.473148 | + | 1.45620i | ||||
\(404\) | 11.9852 | − | 6.50633i | 0.596284 | − | 0.323702i | ||||
\(405\) | −18.2652 | − | 8.44889i | −0.907603 | − | 0.419829i | ||||
\(406\) | 3.28572 | − | 14.5185i | 0.163068 | − | 0.720539i | ||||
\(407\) | − | 15.6925i | − | 0.777846i | ||||||
\(408\) | −1.68324 | + | 5.21042i | −0.0833330 | + | 0.257954i | ||||
\(409\) | −5.74671 | + | 4.17523i | −0.284156 | + | 0.206452i | −0.720728 | − | 0.693218i | \(-0.756192\pi\) |
0.436572 | + | 0.899669i | \(0.356192\pi\) | |||||||
\(410\) | −17.9507 | − | 9.94484i | −0.886520 | − | 0.491141i | ||||
\(411\) | −4.39480 | + | 3.47738i | −0.216780 | + | 0.171527i | ||||
\(412\) | −18.6324 | + | 19.6317i | −0.917950 | + | 0.967183i | ||||
\(413\) | −19.3901 | + | 14.0877i | −0.954125 | + | 0.693212i | ||||
\(414\) | 4.18613 | + | 7.88838i | 0.205737 | + | 0.387693i | ||||
\(415\) | 8.41792 | + | 10.8660i | 0.413220 | + | 0.533390i | ||||
\(416\) | −9.02024 | + | 17.1374i | −0.442254 | + | 0.840231i | ||||
\(417\) | 6.76660 | − | 10.1664i | 0.331362 | − | 0.497849i | ||||
\(418\) | 19.5232 | − | 1.79324i | 0.954909 | − | 0.0877102i | ||||
\(419\) | 0.662387 | − | 2.03862i | 0.0323597 | − | 0.0995929i | −0.933572 | − | 0.358390i | \(-0.883326\pi\) |
0.965932 | + | 0.258797i | \(0.0833260\pi\) | |||||||
\(420\) | −1.28314 | + | 21.6865i | −0.0626108 | + | 1.05819i | ||||
\(421\) | −4.44421 | − | 13.6779i | −0.216597 | − | 0.666618i | −0.999036 | − | 0.0438909i | \(-0.986025\pi\) |
0.782439 | − | 0.622727i | \(-0.213975\pi\) | |||||||
\(422\) | −4.75202 | − | 11.0617i | −0.231325 | − | 0.538474i | ||||
\(423\) | −2.90918 | + | 1.21727i | −0.141449 | + | 0.0591856i | ||||
\(424\) | 1.47927 | + | 5.24721i | 0.0718399 | + | 0.254827i | ||||
\(425\) | 5.57787 | − | 0.344111i | 0.270566 | − | 0.0166918i | ||||
\(426\) | −8.65434 | − | 1.58825i | −0.419304 | − | 0.0769508i | ||||
\(427\) | −2.04800 | − | 1.48796i | −0.0991097 | − | 0.0720074i | ||||
\(428\) | −17.2567 | + | 9.36807i | −0.834135 | + | 0.452823i | ||||
\(429\) | −0.451364 | − | 10.9856i | −0.0217920 | − | 0.530390i | ||||
\(430\) | 22.5757 | − | 10.5335i | 1.08870 | − | 0.507970i | ||||
\(431\) | 5.45008 | − | 16.7736i | 0.262521 | − | 0.807957i | −0.729733 | − | 0.683732i | \(-0.760356\pi\) |
0.992254 | − | 0.124225i | \(-0.0396444\pi\) | |||||||
\(432\) | −9.09496 | + | 18.6891i | −0.437581 | + | 0.899179i | ||||
\(433\) | −2.32032 | − | 0.753918i | −0.111508 | − | 0.0362310i | 0.252732 | − | 0.967536i | \(-0.418671\pi\) |
−0.364239 | + | 0.931305i | \(0.618671\pi\) | |||||||
\(434\) | 26.7744 | − | 23.4789i | 1.28521 | − | 1.12702i | ||||
\(435\) | −14.1108 | − | 3.48739i | −0.676560 | − | 0.167207i | ||||
\(436\) | −3.98460 | − | 1.90090i | −0.190828 | − | 0.0910365i | ||||
\(437\) | 12.7318 | − | 9.25020i | 0.609045 | − | 0.442497i | ||||
\(438\) | −13.4229 | − | 28.0148i | −0.641372 | − | 1.33860i | ||||
\(439\) | −19.5188 | + | 26.8653i | −0.931579 | + | 1.28221i | 0.0276608 | + | 0.999617i | \(0.491194\pi\) |
−0.959240 | + | 0.282592i | \(0.908806\pi\) | |||||||
\(440\) | −3.52816 | − | 11.1837i | −0.168198 | − | 0.533161i | ||||
\(441\) | 2.58877 | − | 0.213088i | 0.123275 | − | 0.0101471i | ||||
\(442\) | 1.19447 | − | 5.27794i | 0.0568152 | − | 0.251046i | ||||
\(443\) | − | 25.0316i | − | 1.18929i | −0.803990 | − | 0.594643i | \(-0.797293\pi\) | ||
0.803990 | − | 0.594643i | \(-0.202707\pi\) | |||||||
\(444\) | 11.5264 | − | 26.9564i | 0.547018 | − | 1.27930i | ||||
\(445\) | 35.6596 | − | 12.8137i | 1.69043 | − | 0.607429i | ||||
\(446\) | −2.64092 | + | 1.13452i | −0.125051 | + | 0.0537210i | ||||
\(447\) | 1.42973 | + | 34.7978i | 0.0676239 | + | 1.64588i | ||||
\(448\) | 22.3674 | + | 1.76506i | 1.05676 | + | 0.0833913i | ||||
\(449\) | − | 32.0071i | − | 1.51051i | −0.655433 | − | 0.755253i | \(-0.727514\pi\) | ||
0.655433 | − | 0.755253i | \(-0.272486\pi\) | |||||||
\(450\) | 21.1473 | + | 1.67036i | 0.996895 | + | 0.0787413i | ||||
\(451\) | − | 12.0327i | − | 0.566598i | ||||||
\(452\) | −28.1084 | − | 13.4094i | −1.32211 | − | 0.630727i | ||||
\(453\) | −0.565118 | − | 13.7542i | −0.0265515 | − | 0.646230i | ||||
\(454\) | 14.4244 | + | 33.5769i | 0.676969 | + | 1.57584i | ||||
\(455\) | −0.661319 | − | 21.4597i | −0.0310031 | − | 1.00605i | ||||
\(456\) | 34.8540 | + | 11.2597i | 1.63219 | + | 0.527283i | ||||
\(457\) | − | 27.8514i | − | 1.30283i | −0.758721 | − | 0.651416i | \(-0.774175\pi\) | ||
0.758721 | − | 0.651416i | \(-0.225825\pi\) | |||||||
\(458\) | −3.99325 | − | 0.903728i | −0.186593 | − | 0.0422284i | ||||
\(459\) | 1.10236 | − | 5.70213i | 0.0514537 | − | 0.266153i | ||||
\(460\) | −7.02412 | − | 6.26682i | −0.327501 | − | 0.292192i | ||||
\(461\) | −2.72769 | + | 3.75434i | −0.127041 | + | 0.174857i | −0.867800 | − | 0.496914i | \(-0.834466\pi\) |
0.740758 | + | 0.671771i | \(0.234466\pi\) | |||||||
\(462\) | −11.4876 | + | 5.50411i | −0.534450 | + | 0.256074i | ||||
\(463\) | −12.0343 | + | 8.74343i | −0.559281 | + | 0.406341i | −0.831196 | − | 0.555980i | \(-0.812343\pi\) |
0.271915 | + | 0.962321i | \(0.412343\pi\) | |||||||
\(464\) | −3.88742 | + | 14.5000i | −0.180469 | + | 0.673143i | ||||
\(465\) | −22.4063 | − | 26.5915i | −1.03907 | − | 1.23315i | ||||
\(466\) | −17.3045 | − | 19.7334i | −0.801617 | − | 0.914133i | ||||
\(467\) | −6.19271 | − | 2.01213i | −0.286564 | − | 0.0931104i | 0.162208 | − | 0.986757i | \(-0.448139\pi\) |
−0.448772 | + | 0.893646i | \(0.648139\pi\) | |||||||
\(468\) | 7.29377 | − | 19.2026i | 0.337155 | − | 0.887639i | ||||
\(469\) | 1.29779 | − | 3.99418i | 0.0599262 | − | 0.184434i | ||||
\(470\) | 2.43062 | − | 2.26763i | 0.112116 | − | 0.104598i | ||||
\(471\) | −1.49979 | − | 36.5029i | −0.0691065 | − | 1.68196i | ||||
\(472\) | 20.0989 | − | 13.4266i | 0.925126 | − | 0.618009i | ||||
\(473\) | 11.8175 | + | 8.58592i | 0.543369 | + | 0.394781i | ||||
\(474\) | −2.21419 | + | 12.0651i | −0.101701 | + | 0.554169i | ||||
\(475\) | −2.30185 | − | 37.3119i | −0.105616 | − | 1.71199i | ||||
\(476\) | −6.16450 | + | 1.14208i | −0.282549 | + | 0.0523470i | ||||
\(477\) | −2.23200 | − | 5.33431i | −0.102196 | − | 0.244241i | ||||
\(478\) | 12.2012 | − | 5.24155i | 0.558071 | − | 0.239743i | ||||
\(479\) | 5.73304 | + | 17.6445i | 0.261949 | + | 0.806197i | 0.992381 | + | 0.123211i | \(0.0393191\pi\) |
−0.730431 | + | 0.682986i | \(0.760681\pi\) | |||||||
\(480\) | 2.15396 | − | 21.8028i | 0.0983143 | − | 0.995155i | ||||
\(481\) | −8.95343 | + | 27.5558i | −0.408241 | + | 1.25644i | ||||
\(482\) | −2.70478 | − | 29.4471i | −0.123199 | − | 1.34128i | ||||
\(483\) | −5.66544 | + | 8.51195i | −0.257787 | + | 0.387307i | ||||
\(484\) | −10.4114 | + | 10.9697i | −0.473243 | + | 0.498625i | ||||
\(485\) | 37.8692 | + | 11.0270i | 1.71955 | + | 0.500712i | ||||
\(486\) | 7.17296 | − | 20.8458i | 0.325372 | − | 0.945586i | ||||
\(487\) | 15.6066 | − | 11.3389i | 0.707203 | − | 0.513813i | −0.175067 | − | 0.984556i | \(-0.556014\pi\) |
0.882270 | + | 0.470744i | \(0.156014\pi\) | |||||||
\(488\) | 2.00472 | + | 1.58073i | 0.0907494 | + | 0.0715565i | ||||
\(489\) | −7.07516 | + | 5.59821i | −0.319950 | + | 0.253160i | ||||
\(490\) | −2.48123 | + | 1.15771i | −0.112091 | + | 0.0523000i | ||||
\(491\) | 4.69454 | − | 3.41078i | 0.211862 | − | 0.153926i | −0.476794 | − | 0.879015i | \(-0.658201\pi\) |
0.688656 | + | 0.725089i | \(0.258201\pi\) | |||||||
\(492\) | 8.83823 | − | 20.6697i | 0.398458 | − | 0.931863i | ||||
\(493\) | − | 4.19471i | − | 0.188920i | ||||||
\(494\) | −35.3056 | − | 7.99015i | −1.58848 | − | 0.359494i | ||||
\(495\) | 5.15231 | + | 11.3211i | 0.231579 | + | 0.508844i | ||||
\(496\) | −27.9130 | + | 22.5970i | −1.25333 | + | 1.01464i | ||||
\(497\) | −3.11319 | − | 9.58142i | −0.139646 | − | 0.429786i | ||||
\(498\) | −10.9038 | + | 10.3838i | −0.488611 | + | 0.465311i | ||||
\(499\) | 20.7222i | 0.927654i | 0.885926 | + | 0.463827i | \(0.153524\pi\) | ||||
−0.885926 | + | 0.463827i | \(0.846476\pi\) | |||||||
\(500\) | −21.5168 | + | 6.08512i | −0.962259 | + | 0.272135i | ||||
\(501\) | −8.79792 | − | 2.46424i | −0.393062 | − | 0.110094i | ||||
\(502\) | 5.94515 | − | 9.99211i | 0.265345 | − | 0.445970i | ||||
\(503\) | 33.8991 | − | 11.0145i | 1.51149 | − | 0.491111i | 0.568142 | − | 0.822931i | \(-0.307662\pi\) |
0.943343 | + | 0.331819i | \(0.107662\pi\) | |||||||
\(504\) | −23.7762 | + | 1.01712i | −1.05907 | + | 0.0453061i | ||||
\(505\) | 8.57775 | − | 12.6053i | 0.381705 | − | 0.560927i | ||||
\(506\) | 1.21833 | − | 5.38338i | 0.0541615 | − | 0.239321i | ||||
\(507\) | 0.597735 | − | 2.13405i | 0.0265463 | − | 0.0947767i | ||||
\(508\) | −0.632939 | + | 4.80506i | −0.0280821 | + | 0.213190i | ||||
\(509\) | 2.25059 | + | 3.09767i | 0.0997557 | + | 0.137302i | 0.855977 | − | 0.517014i | \(-0.172957\pi\) |
−0.756221 | + | 0.654316i | \(0.772957\pi\) | |||||||
\(510\) | 0.996264 | + | 6.04026i | 0.0441153 | + | 0.267467i | ||||
\(511\) | 20.9065 | − | 28.7753i | 0.924847 | − | 1.27294i | ||||
\(512\) | −22.4697 | − | 2.66663i | −0.993031 | − | 0.117849i | ||||
\(513\) | −38.1432 | − | 7.37399i | −1.68406 | − | 0.325570i | ||||
\(514\) | −8.34125 | + | 14.0193i | −0.367917 | + | 0.618363i | ||||
\(515\) | −8.46015 | + | 29.0540i | −0.372799 | + | 1.28027i | ||||
\(516\) | 13.9935 | + | 23.4290i | 0.616031 | + | 1.03140i | ||||
\(517\) | 1.85373 | + | 0.602312i | 0.0815268 | + | 0.0264897i | ||||
\(518\) | 33.4270 | − | 3.07033i | 1.46870 | − | 0.134903i | ||||
\(519\) | −23.4129 | − | 15.5833i | −1.02771 | − | 0.684031i | ||||
\(520\) | −0.185505 | + | 21.6514i | −0.00813494 | + | 0.949479i | ||||
\(521\) | −27.7287 | + | 9.00962i | −1.21482 | + | 0.394718i | −0.845192 | − | 0.534462i | \(-0.820514\pi\) |
−0.369626 | + | 0.929181i | \(0.620514\pi\) | |||||||
\(522\) | 2.22878 | − | 15.7659i | 0.0975513 | − | 0.690054i | ||||
\(523\) | −5.18001 | − | 3.76350i | −0.226506 | − | 0.164566i | 0.468744 | − | 0.883334i | \(-0.344707\pi\) |
−0.695250 | + | 0.718768i | \(0.744707\pi\) | |||||||
\(524\) | −8.14413 | + | 1.50884i | −0.355778 | + | 0.0659139i | ||||
\(525\) | 9.83375 | + | 22.2089i | 0.429180 | + | 0.969276i | ||||
\(526\) | 25.4242 | − | 2.33526i | 1.10855 | − | 0.101822i | ||||
\(527\) | 5.89843 | − | 8.11849i | 0.256940 | − | 0.353647i | ||||
\(528\) | 11.7946 | − | 5.09051i | 0.513296 | − | 0.221536i | ||||
\(529\) | 5.73827 | + | 17.6606i | 0.249490 | + | 0.767851i | ||||
\(530\) | 4.15796 | + | 4.45682i | 0.180610 | + | 0.193592i | ||||
\(531\) | −19.4348 | + | 16.7199i | −0.843400 | + | 0.725581i | ||||
\(532\) | 7.63967 | + | 41.2360i | 0.331222 | + | 1.78781i | ||||
\(533\) | −6.86533 | + | 21.1293i | −0.297370 | + | 0.915212i | ||||
\(534\) | 17.9358 | + | 37.4335i | 0.776157 | + | 1.61991i | ||||
\(535\) | −12.3506 | + | 18.1496i | −0.533963 | + | 0.784674i | ||||
\(536\) | −1.46636 | + | 3.97345i | −0.0633369 | + | 0.171627i | ||||
\(537\) | −5.80241 | − | 15.6417i | −0.250392 | − | 0.674987i | ||||
\(538\) | 7.63504 | − | 6.69528i | 0.329170 | − | 0.288654i | ||||
\(539\) | −1.29883 | − | 0.943656i | −0.0559446 | − | 0.0406461i | ||||
\(540\) | 0.535091 | + | 23.2317i | 0.0230267 | + | 0.999735i | ||||
\(541\) | 18.7149 | − | 13.5972i | 0.804617 | − | 0.584589i | −0.107648 | − | 0.994189i | \(-0.534332\pi\) |
0.912265 | + | 0.409600i | \(0.134332\pi\) | |||||||
\(542\) | 3.08675 | − | 13.6392i | 0.132587 | − | 0.585856i | ||||
\(543\) | −5.52424 | + | 19.7228i | −0.237068 | + | 0.846388i | ||||
\(544\) | 6.25736 | − | 0.906160i | 0.268282 | − | 0.0388513i | ||||
\(545\) | −4.93355 | + | 0.152036i | −0.211330 | + | 0.00651252i | ||||
\(546\) | 23.3125 | − | 3.11087i | 0.997682 | − | 0.133133i | ||||
\(547\) | −1.11144 | − | 3.42065i | −0.0475216 | − | 0.146256i | 0.924480 | − | 0.381230i | \(-0.124500\pi\) |
−0.972002 | + | 0.234974i | \(0.924500\pi\) | |||||||
\(548\) | 5.84054 | + | 2.78629i | 0.249495 | + | 0.119025i | ||||
\(549\) | −2.31386 | − | 1.40654i | −0.0987533 | − | 0.0600298i | ||||
\(550\) | −9.23505 | − | 9.30682i | −0.393784 | − | 0.396844i | ||||
\(551\) | −28.0596 | −1.19538 | ||||||||
\(552\) | 6.04704 | − | 8.35266i | 0.257379 | − | 0.355513i | ||||
\(553\) | −13.3576 | + | 4.34014i | −0.568022 | + | 0.184561i | ||||
\(554\) | −1.87056 | − | 4.35427i | −0.0794726 | − | 0.184995i | ||||
\(555\) | −2.35374 | − | 32.6932i | −0.0999106 | − | 1.38775i | ||||
\(556\) | −13.9809 | − | 1.84161i | −0.592921 | − | 0.0781016i | ||||
\(557\) | 28.3445 | 1.20100 | 0.600498 | − | 0.799626i | \(-0.294969\pi\) | ||||
0.600498 | + | 0.799626i | \(0.294969\pi\) | |||||||
\(558\) | 26.4829 | − | 27.3794i | 1.12111 | − | 1.15906i | ||||
\(559\) | −15.8527 | − | 21.8193i | −0.670497 | − | 0.922860i | ||||
\(560\) | 23.1324 | − | 9.70359i | 0.977522 | − | 0.410052i | ||||
\(561\) | −2.81495 | + | 2.22733i | −0.118847 | + | 0.0940378i | ||||
\(562\) | 13.7959 | − | 12.0978i | 0.581946 | − | 0.510317i | ||||
\(563\) | 18.1788 | + | 25.0210i | 0.766146 | + | 1.05451i | 0.996678 | + | 0.0814444i | \(0.0259533\pi\) |
−0.230532 | + | 0.973065i | \(0.574047\pi\) | |||||||
\(564\) | 2.74191 | + | 2.39624i | 0.115455 | + | 0.100900i | ||||
\(565\) | −34.8026 | + | 1.07250i | −1.46416 | + | 0.0451206i | ||||
\(566\) | −0.237071 | − | 0.270346i | −0.00996482 | − | 0.0113635i | ||||
\(567\) | 24.9018 | − | 4.12742i | 1.04578 | − | 0.173335i | ||||
\(568\) | 2.75683 | + | 9.77889i | 0.115674 | + | 0.410313i | ||||
\(569\) | −33.1483 | − | 10.7705i | −1.38965 | − | 0.451524i | −0.483819 | − | 0.875168i | \(-0.660751\pi\) |
−0.905829 | + | 0.423644i | \(0.860751\pi\) | |||||||
\(570\) | 40.4050 | − | 6.66429i | 1.69238 | − | 0.279136i | ||||
\(571\) | 18.3366 | − | 5.95791i | 0.767361 | − | 0.249331i | 0.100926 | − | 0.994894i | \(-0.467819\pi\) |
0.666435 | + | 0.745563i | \(0.267819\pi\) | |||||||
\(572\) | −11.1577 | + | 6.05713i | −0.466527 | + | 0.253261i | ||||
\(573\) | −27.5324 | + | 21.7850i | −1.15018 | + | 0.910081i | ||||
\(574\) | 25.6312 | − | 2.35428i | 1.06983 | − | 0.0982656i | ||||
\(575\) | −10.1906 | − | 2.62974i | −0.424978 | − | 0.109668i | ||||
\(576\) | 23.9999 | − | 0.0810777i | 0.999994 | − | 0.00337824i | ||||
\(577\) | −19.8382 | + | 27.3049i | −0.825874 | + | 1.13672i | 0.162803 | + | 0.986659i | \(0.447946\pi\) |
−0.988677 | + | 0.150059i | \(0.952054\pi\) | |||||||
\(578\) | 20.4663 | − | 8.79218i | 0.851287 | − | 0.365706i | ||||
\(579\) | 0.556767 | + | 13.5510i | 0.0231385 | + | 0.563160i | ||||
\(580\) | 3.56436 | + | 16.4011i | 0.148002 | + | 0.681019i | ||||
\(581\) | −16.3963 | − | 5.32747i | −0.680232 | − | 0.221021i | ||||
\(582\) | −7.79903 | + | 42.4968i | −0.323280 | + | 1.76155i | ||||
\(583\) | −1.10441 | + | 3.39902i | −0.0457399 | + | 0.140773i | ||||
\(584\) | −22.2100 | + | 28.1672i | −0.919056 | + | 1.16557i | ||||
\(585\) | −2.58811 | − | 22.8194i | −0.107005 | − | 0.943465i | ||||
\(586\) | −7.50951 | + | 12.6213i | −0.310215 | + | 0.521383i | ||||
\(587\) | 11.2432 | + | 15.4749i | 0.464057 | + | 0.638719i | 0.975344 | − | 0.220691i | \(-0.0708312\pi\) |
−0.511287 | + | 0.859410i | \(0.670831\pi\) | |||||||
\(588\) | −1.53799 | − | 2.57502i | −0.0634258 | − | 0.106192i | ||||
\(589\) | −54.3068 | − | 39.4562i | −2.23767 | − | 1.62577i | ||||
\(590\) | 13.0961 | − | 23.6387i | 0.539158 | − | 0.973191i | ||||
\(591\) | 8.95789 | + | 24.1479i | 0.368478 | + | 0.993313i | ||||
\(592\) | −33.8066 | + | 1.76700i | −1.38944 | + | 0.0726232i | ||||
\(593\) | −8.54639 | −0.350958 | −0.175479 | − | 0.984483i | \(-0.556147\pi\) | ||||
−0.175479 | + | 0.984483i | \(0.556147\pi\) | |||||||
\(594\) | −11.7635 | + | 6.87576i | −0.482661 | + | 0.282116i | ||||
\(595\) | −5.54113 | + | 4.29274i | −0.227164 | + | 0.175985i | ||||
\(596\) | 35.3429 | − | 19.1864i | 1.44770 | − | 0.785907i | ||||
\(597\) | 1.03494 | + | 25.1890i | 0.0423572 | + | 1.03092i | ||||
\(598\) | −5.21090 | + | 8.75804i | −0.213090 | + | 0.358143i | ||||
\(599\) | 34.9700 | 1.42884 | 0.714419 | − | 0.699719i | \(-0.246691\pi\) | ||||
0.714419 | + | 0.699719i | \(0.246691\pi\) | |||||||
\(600\) | −9.02791 | − | 22.7705i | −0.368563 | − | 0.929603i | ||||
\(601\) | −25.6951 | −1.04813 | −0.524063 | − | 0.851679i | \(-0.675585\pi\) | ||||
−0.524063 | + | 0.851679i | \(0.675585\pi\) | |||||||
\(602\) | −15.9770 | + | 26.8527i | −0.651172 | + | 1.09444i | ||||
\(603\) | 1.03303 | − | 4.37192i | 0.0420683 | − | 0.178038i | ||||
\(604\) | −13.9697 | + | 7.58366i | −0.568419 | + | 0.308575i | ||||
\(605\) | −4.72735 | + | 16.2347i | −0.192194 | + | 0.660036i | ||||
\(606\) | 14.6922 | + | 7.94378i | 0.596830 | + | 0.322694i | ||||
\(607\) | 33.7114 | 1.36830 | 0.684152 | − | 0.729340i | \(-0.260173\pi\) | ||||
0.684152 | + | 0.729340i | \(0.260173\pi\) | |||||||
\(608\) | −6.06156 | − | 41.8573i | −0.245829 | − | 1.69754i | ||||
\(609\) | 17.0929 | − | 6.34076i | 0.692639 | − | 0.256940i | ||||
\(610\) | 2.80198 | + | 0.543985i | 0.113449 | + | 0.0220253i | ||||
\(611\) | −2.91147 | − | 2.11531i | −0.117786 | − | 0.0855763i | ||||
\(612\) | −6.47152 | + | 1.75846i | −0.261596 | + | 0.0710816i | ||||
\(613\) | 13.7296 | + | 18.8972i | 0.554535 | + | 0.763252i | 0.990619 | − | 0.136654i | \(-0.0436349\pi\) |
−0.436084 | + | 0.899906i | \(0.643635\pi\) | |||||||
\(614\) | −12.3320 | + | 20.7265i | −0.497678 | + | 0.836455i | ||||
\(615\) | −1.80480 | − | 25.0685i | −0.0727767 | − | 1.01086i | ||||
\(616\) | 11.5500 | + | 9.10728i | 0.465364 | + | 0.366943i | ||||
\(617\) | −2.44863 | + | 7.53611i | −0.0985782 | + | 0.303392i | −0.988170 | − | 0.153365i | \(-0.950989\pi\) |
0.889591 | + | 0.456757i | \(0.150989\pi\) | |||||||
\(618\) | −32.6044 | − | 5.98357i | −1.31154 | − | 0.240695i | ||||
\(619\) | 17.1069 | + | 5.55838i | 0.687586 | + | 0.223410i | 0.631913 | − | 0.775039i | \(-0.282270\pi\) |
0.0556723 | + | 0.998449i | \(0.482270\pi\) | |||||||
\(620\) | −16.1640 | + | 36.7549i | −0.649163 | + | 1.47611i | ||||
\(621\) | −5.29278 | + | 9.57140i | −0.212392 | + | 0.384087i | ||||
\(622\) | 31.8939 | − | 13.7014i | 1.27883 | − | 0.549375i | ||||
\(623\) | −27.9353 | + | 38.4497i | −1.11920 | + | 1.54045i | ||||
\(624\) | −23.6157 | + | 2.20938i | −0.945385 | + | 0.0884460i | ||||
\(625\) | −18.2658 | + | 17.0692i | −0.730634 | + | 0.682770i | ||||
\(626\) | 13.5853 | − | 1.24783i | 0.542977 | − | 0.0498735i | ||||
\(627\) | 14.8992 | + | 18.8300i | 0.595017 | + | 0.751997i | ||||
\(628\) | −37.0747 | + | 20.1266i | −1.47944 | + | 0.803137i | ||||
\(629\) | 8.99630 | − | 2.92307i | 0.358706 | − | 0.116551i | ||||
\(630\) | −23.1073 | + | 13.1901i | −0.920616 | + | 0.525508i | ||||
\(631\) | 36.7577 | + | 11.9433i | 1.46330 | + | 0.475455i | 0.929076 | − | 0.369888i | \(-0.120604\pi\) |
0.534224 | + | 0.845343i | \(0.320604\pi\) | |||||||
\(632\) | 13.6329 | − | 3.84332i | 0.542286 | − | 0.152879i | ||||
\(633\) | 8.16985 | − | 12.2747i | 0.324723 | − | 0.487874i | ||||
\(634\) | −16.3373 | − | 18.6304i | −0.648837 | − | 0.739909i | ||||
\(635\) | 1.83239 | + | 5.09940i | 0.0727161 | + | 0.202363i | ||||
\(636\) | −4.39379 | + | 5.02761i | −0.174225 | + | 0.199358i | ||||
\(637\) | 1.74233 | + | 2.39811i | 0.0690335 | + | 0.0950165i | ||||
\(638\) | −7.39928 | + | 6.48854i | −0.292940 | + | 0.256884i | ||||
\(639\) | −4.15963 | − | 9.94121i | −0.164552 | − | 0.393268i | ||||
\(640\) | −23.6960 | + | 8.86009i | −0.936665 | + | 0.350226i | ||||
\(641\) | −22.8319 | − | 31.4254i | −0.901806 | − | 1.24123i | −0.969888 | − | 0.243550i | \(-0.921688\pi\) |
0.0680821 | − | 0.997680i | \(-0.478312\pi\) | |||||||
\(642\) | −21.1544 | − | 11.4378i | −0.834899 | − | 0.451413i | ||||
\(643\) | 17.5439 | 0.691864 | 0.345932 | − | 0.938260i | \(-0.387563\pi\) | ||||
0.345932 | + | 0.938260i | \(0.387563\pi\) | |||||||
\(644\) | 11.7057 | + | 1.54191i | 0.461269 | + | 0.0607599i | ||||
\(645\) | 25.9080 | + | 16.1151i | 1.02013 | + | 0.634532i | ||||
\(646\) | 4.66467 | + | 10.8584i | 0.183529 | + | 0.427216i | ||||
\(647\) | −17.8336 | + | 5.79448i | −0.701110 | + | 0.227804i | −0.637814 | − | 0.770190i | \(-0.720161\pi\) |
−0.0632959 | + | 0.997995i | \(0.520161\pi\) | |||||||
\(648\) | −25.2576 | + | 3.17068i | −0.992213 | + | 0.124556i | ||||
\(649\) | 15.8455 | 0.621991 | ||||||||
\(650\) | 10.9066 | + | 21.6118i | 0.427792 | + | 0.847685i | ||||
\(651\) | 41.9978 | + | 11.7633i | 1.64603 | + | 0.461041i | ||||
\(652\) | 9.40263 | + | 4.48563i | 0.368236 | + | 0.175671i | ||||
\(653\) | 1.36907 | + | 4.21357i | 0.0535759 | + | 0.164890i | 0.974264 | − | 0.225409i | \(-0.0723718\pi\) |
−0.920688 | + | 0.390299i | \(0.872372\pi\) | |||||||
\(654\) | −0.715184 | − | 5.35950i | −0.0279659 | − | 0.209573i | ||||
\(655\) | −7.32058 | + | 5.67129i | −0.286039 | + | 0.221595i | ||||
\(656\) | −25.9223 | + | 1.35490i | −1.01210 | + | 0.0529000i | ||||
\(657\) | 19.7625 | − | 32.5108i | 0.771010 | − | 1.26837i | ||||
\(658\) | −0.920310 | + | 4.06653i | −0.0358774 | + | 0.158530i | ||||
\(659\) | −9.45627 | + | 6.87038i | −0.368364 | + | 0.267632i | −0.756532 | − | 0.653956i | \(-0.773108\pi\) |
0.388168 | + | 0.921589i | \(0.373108\pi\) | |||||||
\(660\) | 9.11368 | − | 11.1007i | 0.354749 | − | 0.432093i | ||||
\(661\) | −2.32708 | − | 1.69072i | −0.0905129 | − | 0.0657615i | 0.541608 | − | 0.840631i | \(-0.317816\pi\) |
−0.632121 | + | 0.774869i | \(0.717816\pi\) | |||||||
\(662\) | −26.9943 | + | 23.6717i | −1.04916 | + | 0.920028i | ||||
\(663\) | 6.21384 | − | 2.30508i | 0.241325 | − | 0.0895218i | ||||
\(664\) | 16.3112 | + | 6.01946i | 0.632998 | + | 0.233600i | ||||
\(665\) | 28.7153 | + | 37.0662i | 1.11353 | + | 1.43736i | ||||
\(666\) | 35.3658 | − | 6.20640i | 1.37040 | − | 0.240493i | ||||
\(667\) | −2.44113 | + | 7.51303i | −0.0945210 | + | 0.290906i | ||||
\(668\) | 1.92185 | + | 10.3734i | 0.0743586 | + | 0.401359i | ||||
\(669\) | −2.93051 | − | 1.95051i | −0.113300 | − | 0.0754110i | ||||
\(670\) | 0.578165 | + | 4.69988i | 0.0223364 | + | 0.181572i | ||||
\(671\) | 0.517177 | + | 1.59171i | 0.0199654 | + | 0.0614471i | ||||
\(672\) | 13.1512 | + | 24.1282i | 0.507317 | + | 0.930764i | ||||
\(673\) | 17.4636 | − | 24.0366i | 0.673172 | − | 0.926542i | −0.326655 | − | 0.945144i | \(-0.605921\pi\) |
0.999827 | + | 0.0186014i | \(0.00592136\pi\) | |||||||
\(674\) | 14.9725 | − | 1.37525i | 0.576720 | − | 0.0529728i | ||||
\(675\) | 12.4322 | + | 22.8131i | 0.478517 | + | 0.878079i | ||||
\(676\) | −2.51621 | + | 0.466170i | −0.0967773 | + | 0.0179296i | ||||
\(677\) | 22.0160 | + | 15.9956i | 0.846144 | + | 0.614760i | 0.924080 | − | 0.382199i | \(-0.124833\pi\) |
−0.0779360 | + | 0.996958i | \(0.524833\pi\) | |||||||
\(678\) | −5.04510 | − | 37.8073i | −0.193756 | − | 1.45198i | ||||
\(679\) | −47.0493 | + | 15.2872i | −1.80559 | + | 0.586670i | ||||
\(680\) | 5.75427 | − | 4.10586i | 0.220666 | − | 0.157453i | ||||
\(681\) | −24.7989 | + | 37.2587i | −0.950297 | + | 1.42776i | ||||
\(682\) | −23.4445 | + | 2.15343i | −0.897738 | + | 0.0824589i | ||||
\(683\) | −8.56408 | − | 2.78264i | −0.327695 | − | 0.106475i | 0.140549 | − | 0.990074i | \(-0.455113\pi\) |
−0.468244 | + | 0.883599i | \(0.655113\pi\) | |||||||
\(684\) | 11.7628 | + | 43.2898i | 0.449763 | + | 1.65523i | ||||
\(685\) | 7.23149 | − | 0.222851i | 0.276301 | − | 0.00851471i | ||||
\(686\) | −12.4405 | + | 20.9089i | −0.474981 | + | 0.798307i | ||||
\(687\) | −1.74401 | − | 4.70135i | −0.0665380 | − | 0.179368i | ||||
\(688\) | 17.1662 | − | 26.4255i | 0.654454 | − | 1.00746i | ||||
\(689\) | 3.87866 | − | 5.33852i | 0.147765 | − | 0.203381i | ||||
\(690\) | 1.73077 | − | 11.3983i | 0.0658894 | − | 0.433926i | ||||
\(691\) | −9.28419 | − | 12.7786i | −0.353187 | − | 0.486121i | 0.595048 | − | 0.803690i | \(-0.297133\pi\) |
−0.948235 | + | 0.317570i | \(0.897133\pi\) | |||||||
\(692\) | −4.24117 | + | 32.1975i | −0.161225 | + | 1.22397i | ||||
\(693\) | −13.3311 | − | 8.10369i | −0.506408 | − | 0.307834i | ||||
\(694\) | 10.1233 | − | 44.7313i | 0.384276 | − | 1.69798i | ||||
\(695\) | −14.8373 | + | 5.33154i | −0.562810 | + | 0.202237i | ||||
\(696\) | −17.4764 | + | 5.71108i | −0.662441 | + | 0.216478i | ||||
\(697\) | 6.89820 | − | 2.24136i | 0.261288 | − | 0.0848976i | ||||
\(698\) | −2.36305 | + | 3.97161i | −0.0894428 | + | 0.150328i | ||||
\(699\) | 8.66986 | − | 30.9534i | 0.327924 | − | 1.17077i | ||||
\(700\) | 18.0179 | − | 21.4928i | 0.681011 | − | 0.812352i | ||||
\(701\) | − | 38.6678i | − | 1.46046i | −0.683201 | − | 0.730231i | \(-0.739413\pi\) | ||
0.683201 | − | 0.730231i | \(-0.260587\pi\) | |||||||
\(702\) | 24.5796 | − | 5.36206i | 0.927696 | − | 0.202378i | ||||
\(703\) | −19.5533 | − | 60.1787i | −0.737465 | − | 2.26968i | ||||
\(704\) | −11.2775 | − | 9.63602i | −0.425039 | − | 0.363171i | ||||
\(705\) | 3.95234 | + | 0.976795i | 0.148854 | + | 0.0367882i | ||||
\(706\) | 23.0150 | + | 5.20861i | 0.866182 | + | 0.196029i | ||||
\(707\) | 19.1237i | 0.719220i | ||||||||
\(708\) | 27.2194 | + | 11.6388i | 1.02297 | + | 0.437414i | ||||
\(709\) | −26.7600 | + | 19.4423i | −1.00499 | + | 0.730171i | −0.963153 | − | 0.268953i | \(-0.913322\pi\) |
−0.0418412 | + | 0.999124i | \(0.513322\pi\) | |||||||
\(710\) | 7.74892 | + | 8.30588i | 0.290812 | + | 0.311714i | ||||
\(711\) | −13.8592 | + | 5.79899i | −0.519759 | + | 0.217479i | ||||
\(712\) | 29.6771 | − | 37.6371i | 1.11220 | − | 1.41051i | ||||
\(713\) | −15.2891 | + | 11.1082i | −0.572581 | + | 0.416004i | ||||
\(714\) | −5.29526 | − | 5.56042i | −0.198170 | − | 0.208093i | ||||
\(715\) | −7.98554 | + | 11.7350i | −0.298642 | + | 0.438864i | ||||
\(716\) | −13.2615 | + | 13.9728i | −0.495606 | + | 0.522187i | ||||
\(717\) | 13.5391 | + | 9.01148i | 0.505629 | + | 0.336540i | ||||
\(718\) | −1.17368 | − | 12.7779i | −0.0438012 | − | 0.476868i | ||||
\(719\) | −11.1272 | + | 34.2459i | −0.414973 | + | 1.27716i | 0.497302 | + | 0.867578i | \(0.334324\pi\) |
−0.912275 | + | 0.409579i | \(0.865676\pi\) | |||||||
\(720\) | 23.8091 | − | 12.3745i | 0.887311 | − | 0.461171i | ||||
\(721\) | −11.7287 | − | 36.0971i | −0.436798 | − | 1.34433i | ||||
\(722\) | 47.9463 | − | 20.5974i | 1.78438 | − | 0.766554i | ||||
\(723\) | 28.4016 | − | 22.4727i | 1.05627 | − | 0.835770i | ||||
\(724\) | 23.2547 | − | 4.30833i | 0.864255 | − | 0.160118i | ||||
\(725\) | 11.9437 | + | 14.4733i | 0.443576 | + | 0.537523i | ||||
\(726\) | −18.2186 | − | 3.34349i | −0.676157 | − | 0.124089i | ||||
\(727\) | −7.26585 | − | 5.27895i | −0.269475 | − | 0.195785i | 0.444838 | − | 0.895611i | \(-0.353261\pi\) |
−0.714314 | + | 0.699825i | \(0.753261\pi\) | |||||||
\(728\) | −15.0856 | − | 22.5822i | −0.559108 | − | 0.836954i | ||||
\(729\) | 26.1846 | − | 6.58522i | 0.969801 | − | 0.243897i | ||||
\(730\) | −7.64322 | + | 39.3691i | −0.282888 | + | 1.45711i | ||||
\(731\) | −2.72093 | + | 8.37415i | −0.100637 | + | 0.309729i | ||||
\(732\) | −0.280732 | + | 3.11410i | −0.0103762 | + | 0.115100i | ||||
\(733\) | 18.4725 | + | 6.00207i | 0.682296 | + | 0.221692i | 0.629601 | − | 0.776919i | \(-0.283219\pi\) |
0.0526960 | + | 0.998611i | \(0.483219\pi\) | |||||||
\(734\) | −11.4750 | − | 13.0856i | −0.423548 | − | 0.482998i | ||||
\(735\) | −2.84749 | − | 1.77117i | −0.105031 | − | 0.0653306i | ||||
\(736\) | −11.7347 | − | 2.01850i | −0.432548 | − | 0.0744030i | ||||
\(737\) | −2.24627 | + | 1.63201i | −0.0827426 | + | 0.0601160i | ||||
\(738\) | 27.1179 | − | 4.75895i | 0.998223 | − | 0.175179i | ||||
\(739\) | 5.22131 | − | 7.18652i | 0.192069 | − | 0.264360i | −0.702111 | − | 0.712067i | \(-0.747759\pi\) |
0.894180 | + | 0.447707i | \(0.147759\pi\) | |||||||
\(740\) | −32.6912 | + | 19.0735i | −1.20175 | + | 0.701154i | ||||
\(741\) | −15.4193 | − | 41.5661i | −0.566442 | − | 1.52697i | ||||
\(742\) | −7.45644 | − | 1.68749i | −0.273735 | − | 0.0619498i | ||||
\(743\) | − | 38.1796i | − | 1.40067i | −0.713813 | − | 0.700337i | \(-0.753033\pi\) | ||
0.713813 | − | 0.700337i | \(-0.246967\pi\) | |||||||
\(744\) | −41.8547 | − | 13.5213i | −1.53447 | − | 0.495714i | ||||
\(745\) | 25.2948 | − | 37.1715i | 0.926731 | − | 1.36186i | ||||
\(746\) | 0.863547 | + | 2.01015i | 0.0316167 | + | 0.0735970i | ||||
\(747\) | −17.9469 | − | 4.24064i | −0.656644 | − | 0.155157i | ||||
\(748\) | 3.74097 | + | 1.78467i | 0.136783 | + | 0.0652540i | ||||
\(749\) | − | 27.5350i | − | 1.00611i | ||||||
\(750\) | −20.6360 | − | 18.0044i | −0.753519 | − | 0.657426i | ||||
\(751\) | 25.5204i | 0.931254i | 0.884981 | + | 0.465627i | \(0.154171\pi\) | ||||
−0.884981 | + | 0.465627i | \(0.845829\pi\) | |||||||
\(752\) | 1.08884 | − | 4.06135i | 0.0397060 | − | 0.148102i | ||||
\(753\) | 14.2281 | − | 0.584588i | 0.518501 | − | 0.0213036i | ||||
\(754\) | 16.6951 | − | 7.17211i | 0.608001 | − | 0.261193i | ||||
\(755\) | −9.99808 | + | 14.6925i | −0.363867 | + | 0.534714i | ||||
\(756\) | −16.9479 | − | 23.7125i | −0.616388 | − | 0.862413i | ||||
\(757\) | − | 24.9324i | − | 0.906184i | −0.891464 | − | 0.453092i | \(-0.850321\pi\) | ||
0.891464 | − | 0.453092i | \(-0.149679\pi\) | |||||||
\(758\) | 2.01321 | − | 8.89568i | 0.0731232 | − | 0.323106i | ||||
\(759\) | 6.33797 | − | 2.35113i | 0.230054 | − | 0.0853405i | ||||
\(760\) | −27.4652 | − | 38.4919i | −0.996269 | − | 1.39625i | ||||
\(761\) | 26.6111 | − | 36.6270i | 0.964650 | − | 1.32773i | 0.0199469 | − | 0.999801i | \(-0.493650\pi\) |
0.944703 | − | 0.327926i | \(-0.106350\pi\) | |||||||
\(762\) | −5.35307 | + | 2.56485i | −0.193921 | + | 0.0929147i | ||||
\(763\) | 5.00854 | − | 3.63892i | 0.181321 | − | 0.131738i | ||||
\(764\) | 36.5896 | + | 17.4555i | 1.32376 | + | 0.631517i | ||||
\(765\) | −5.53050 | + | 5.06256i | −0.199955 | + | 0.183037i | ||||
\(766\) | −15.4066 | + | 13.5102i | −0.556661 | + | 0.488145i | ||||
\(767\) | −27.8246 | − | 9.04076i | −1.00469 | − | 0.326443i | ||||
\(768\) | −12.2947 | − | 24.8363i | −0.443647 | − | 0.896202i | ||||
\(769\) | 7.78339 | − | 23.9548i | 0.280676 | − | 0.863833i | −0.706985 | − | 0.707229i | \(-0.749945\pi\) |
0.987661 | − | 0.156605i | \(-0.0500548\pi\) | |||||||
\(770\) | 16.1434 | + | 3.13413i | 0.581768 | + | 0.112946i | ||||
\(771\) | −19.9625 | + | 0.820196i | −0.718932 | + | 0.0295386i | ||||
\(772\) | 13.7633 | − | 7.47160i | 0.495351 | − | 0.268909i | ||||
\(773\) | −12.5760 | − | 9.13698i | −0.452326 | − | 0.328634i | 0.338187 | − | 0.941079i | \(-0.390186\pi\) |
−0.790514 | + | 0.612445i | \(0.790186\pi\) | |||||||
\(774\) | −14.6761 | + | 30.0286i | −0.527521 | + | 1.07936i | ||||
\(775\) | 2.76420 | + | 44.8063i | 0.0992929 | + | 1.60949i | ||||
\(776\) | 48.0189 | − | 13.5373i | 1.72378 | − | 0.485961i | ||||
\(777\) | 25.5100 | + | 32.2402i | 0.915166 | + | 1.15661i | ||||
\(778\) | −12.2997 | − | 28.6310i | −0.440965 | − | 1.02647i | ||||
\(779\) | −14.9931 | − | 46.1440i | −0.537183 | − | 1.65328i | ||||
\(780\) | −22.3371 | + | 14.2928i | −0.799796 | + | 0.511764i | ||||
\(781\) | −2.05821 | + | 6.33453i | −0.0736487 | + | 0.226667i | ||||
\(782\) | 3.31317 | − | 0.304321i | 0.118479 | − | 0.0108825i | ||||
\(783\) | 17.6657 | − | 8.25955i | 0.631320 | − | 0.295172i | ||||
\(784\) | −1.88669 | + | 2.90436i | −0.0673818 | + | 0.103727i | ||||
\(785\) | −26.5343 | + | 38.9929i | −0.947049 | + | 1.39172i | ||||
\(786\) | −6.99575 | − | 7.34606i | −0.249530 | − | 0.262025i | ||||
\(787\) | 15.4588 | − | 11.2315i | 0.551045 | − | 0.400358i | −0.277125 | − | 0.960834i | \(-0.589382\pi\) |
0.828171 | + | 0.560476i | \(0.189382\pi\) | |||||||
\(788\) | 20.4734 | − | 21.5715i | 0.729335 | − | 0.768451i | ||||
\(789\) | 19.4026 | + | 24.5215i | 0.690750 | + | 0.872987i | ||||
\(790\) | 11.5793 | − | 10.8029i | 0.411974 | − | 0.384348i | ||||
\(791\) | 35.3316 | − | 25.6699i | 1.25625 | − | 0.912717i | ||||
\(792\) | 13.1122 | + | 8.69540i | 0.465923 | + | 0.308978i | ||||
\(793\) | − | 3.09010i | − | 0.109733i | ||||||
\(794\) | −5.77659 | + | 25.5247i | −0.205003 | + | 0.905838i | ||||
\(795\) | −1.79106 | + | 7.24706i | −0.0635225 | + | 0.257027i | ||||
\(796\) | 25.5836 | − | 13.8885i | 0.906788 | − | 0.492264i | ||||
\(797\) | 0.192782 | + | 0.593322i | 0.00682869 | + | 0.0210166i | 0.954413 | − | 0.298490i | \(-0.0964829\pi\) |
−0.947584 | + | 0.319506i | \(0.896483\pi\) | |||||||
\(798\) | −37.1952 | + | 35.4215i | −1.31670 | + | 1.25391i | ||||
\(799\) | 1.17491i | 0.0415654i | ||||||||
\(800\) | −19.0100 | + | 20.9432i | −0.672105 | + | 0.740455i | ||||
\(801\) | −26.4068 | + | 43.4410i | −0.933038 | + | 1.53491i | ||||
\(802\) | 20.9760 | + | 12.4804i | 0.740688 | + | 0.440698i | ||||
\(803\) | −22.3641 | + | 7.26655i | −0.789214 | + | 0.256431i | ||||
\(804\) | −5.05738 | + | 1.15354i | −0.178360 | + | 0.0406822i | ||||
\(805\) | 12.4227 | − | 4.46392i | 0.437844 | − | 0.157332i | ||||
\(806\) | 42.3971 | + | 9.59503i | 1.49337 | + | 0.337971i | ||||
\(807\) | 11.9762 | + | 3.35445i | 0.421581 | + | 0.118082i | ||||
\(808\) | 0.759185 | − | 19.2711i | 0.0267080 | − | 0.677956i | ||||
\(809\) | −18.9868 | − | 26.1331i | −0.667541 | − | 0.918792i | 0.332160 | − | 0.943223i | \(-0.392223\pi\) |
−0.999702 | + | 0.0244311i | \(0.992223\pi\) | |||||||
\(810\) | −23.4763 | + | 16.0892i | −0.824875 | + | 0.565316i | ||||
\(811\) | −28.4409 | + | 39.1456i | −0.998696 | + | 1.37459i | −0.0725742 | + | 0.997363i | \(0.523121\pi\) |
−0.926122 | + | 0.377224i | \(0.876879\pi\) | |||||||
\(812\) | −15.2692 | − | 14.4919i | −0.535842 | − | 0.508567i | ||||
\(813\) | 16.0578 | − | 5.95678i | 0.563171 | − | 0.208913i | ||||
\(814\) | −19.0720 | − | 11.3475i | −0.668472 | − | 0.397731i | ||||
\(815\) | 11.6419 | − | 0.358766i | 0.407799 | − | 0.0125670i | ||||
\(816\) | 5.11535 | + | 5.81351i | 0.179073 | + | 0.203513i | ||||
\(817\) | 56.0170 | + | 18.2010i | 1.95979 | + | 0.636774i | ||||
\(818\) | 0.918840 | + | 10.0035i | 0.0321265 | + | 0.349764i | ||||
\(819\) | 18.7858 | + | 21.8362i | 0.656428 | + | 0.763018i | ||||
\(820\) | −25.0670 | + | 14.6252i | −0.875379 | + | 0.510733i | ||||
\(821\) | −13.4552 | + | 4.37187i | −0.469590 | + | 0.152579i | −0.534247 | − | 0.845328i | \(-0.679405\pi\) |
0.0646566 | + | 0.997908i | \(0.479405\pi\) | |||||||
\(822\) | 1.04830 | + | 7.85583i | 0.0365637 | + | 0.274004i | ||||
\(823\) | −22.2565 | − | 16.1703i | −0.775811 | − | 0.563660i | 0.127908 | − | 0.991786i | \(-0.459174\pi\) |
−0.903719 | + | 0.428126i | \(0.859174\pi\) | |||||||
\(824\) | 10.3861 | + | 36.8411i | 0.361817 | + | 1.28342i | ||||
\(825\) | 3.37068 | − | 15.7001i | 0.117352 | − | 0.546607i | ||||
\(826\) | 3.10028 | + | 33.7531i | 0.107873 | + | 1.17442i | ||||
\(827\) | 12.6394 | − | 17.3967i | 0.439516 | − | 0.604942i | −0.530588 | − | 0.847630i | \(-0.678029\pi\) |
0.970105 | + | 0.242687i | \(0.0780289\pi\) | |||||||
\(828\) | 12.6143 | + | 0.616598i | 0.438377 | + | 0.0214283i | ||||
\(829\) | 5.25649 | + | 16.1778i | 0.182565 | + | 0.561878i | 0.999898 | − | 0.0142879i | \(-0.00454813\pi\) |
−0.817333 | + | 0.576166i | \(0.804548\pi\) | |||||||
\(830\) | 19.2932 | − | 2.37339i | 0.669678 | − | 0.0823817i | ||||
\(831\) | 3.21594 | − | 4.83174i | 0.111560 | − | 0.167611i | ||||
\(832\) | 14.3054 | + | 23.3552i | 0.495950 | + | 0.809697i | ||||
\(833\) | 0.299050 | − | 0.920381i | 0.0103615 | − | 0.0318893i | ||||
\(834\) | −7.46272 | − | 15.5754i | −0.258413 | − | 0.539330i | ||||
\(835\) | 7.22368 | + | 9.32443i | 0.249986 | + | 0.322685i | ||||
\(836\) | 11.9382 | − | 25.0244i | 0.412890 | − | 0.865486i | ||||
\(837\) | 45.8045 | + | 8.85511i | 1.58324 | + | 0.306077i | ||||
\(838\) | −1.99867 | − | 2.27920i | −0.0690428 | − | 0.0787337i | ||||
\(839\) | −35.6588 | − | 25.9076i | −1.23108 | − | 0.894430i | −0.234107 | − | 0.972211i | \(-0.575217\pi\) |
−0.996970 | + | 0.0777808i | \(0.975217\pi\) | |||||||
\(840\) | 25.4290 | + | 17.2414i | 0.877384 | + | 0.594885i | ||||
\(841\) | −12.0665 | + | 8.76679i | −0.416085 | + | 0.302303i | ||||
\(842\) | −19.8372 | − | 4.48943i | −0.683635 | − | 0.154716i | ||||
\(843\) | 21.6400 | + | 6.06122i | 0.745321 | + | 0.208760i | ||||
\(844\) | −16.8802 | − | 2.22352i | −0.581040 | − | 0.0765367i | ||||
\(845\) | −2.26177 | + | 1.75220i | −0.0778071 | + | 0.0602775i | ||||
\(846\) | −0.624269 | + | 4.41593i | −0.0214628 | + | 0.151823i | ||||
\(847\) | −6.55372 | − | 20.1703i | −0.225189 | − | 0.693059i | ||||
\(848\) | 7.44694 | + | 1.99652i | 0.255729 | + | 0.0685606i | ||||
\(849\) | 0.118776 | − | 0.424060i | 0.00407640 | − | 0.0145537i | ||||
\(850\) | 3.61525 | − | 7.02795i | 0.124002 | − | 0.241057i | ||||
\(851\) | −17.8141 | −0.610660 | ||||||||
\(852\) | −8.18841 | + | 9.36963i | −0.280530 | + | 0.320998i | ||||
\(853\) | −18.0688 | + | 5.87090i | −0.618662 | + | 0.201016i | −0.601546 | − | 0.798838i | \(-0.705448\pi\) |
−0.0171161 | + | 0.999854i | \(0.505448\pi\) | |||||||
\(854\) | −3.28935 | + | 1.41308i | −0.112559 | + | 0.0483547i | ||||
\(855\) | 33.8649 | + | 36.9950i | 1.15815 | + | 1.26520i | ||||
\(856\) | −1.09311 | + | 27.7473i | −0.0373616 | + | 0.948385i | ||||
\(857\) | −20.8990 | −0.713898 | −0.356949 | − | 0.934124i | \(-0.616183\pi\) | ||||
−0.356949 | + | 0.934124i | \(0.616183\pi\) | |||||||
\(858\) | −13.6778 | − | 7.39534i | −0.466954 | − | 0.252473i | ||||
\(859\) | −11.9399 | − | 16.4339i | −0.407384 | − | 0.560716i | 0.555194 | − | 0.831721i | \(-0.312644\pi\) |
−0.962578 | + | 0.271005i | \(0.912644\pi\) | |||||||
\(860\) | 3.52294 | − | 35.0545i | 0.120131 | − | 1.19535i | ||||
\(861\) | 19.5606 | + | 24.7212i | 0.666624 | + | 0.842495i | ||||
\(862\) | −16.4449 | − | 18.7532i | −0.560116 | − | 0.638735i | ||||
\(863\) | −12.7010 | − | 17.4814i | −0.432347 | − | 0.595075i | 0.536143 | − | 0.844127i | \(-0.319881\pi\) |
−0.968490 | + | 0.249052i | \(0.919881\pi\) | |||||||
\(864\) | 16.1372 | + | 24.5681i | 0.548999 | + | 0.835823i | ||||
\(865\) | 12.2784 | + | 34.1698i | 0.417478 | + | 1.16181i | ||||
\(866\) | −2.59415 | + | 2.27485i | −0.0881529 | + | 0.0773026i | ||||
\(867\) | 22.7106 | + | 15.1159i | 0.771291 | + | 0.513362i | ||||
\(868\) | −9.17416 | − | 49.5186i | −0.311391 | − | 1.68077i | ||||
\(869\) | 8.83104 | + | 2.86938i | 0.299573 | + | 0.0973370i | ||||
\(870\) | −14.4422 | + | 14.6278i | −0.489637 | + | 0.495931i | ||||
\(871\) | 4.87559 | − | 1.58418i | 0.165203 | − | 0.0536778i | ||||
\(872\) | −5.19162 | + | 3.46814i | −0.175810 | + | 0.117446i | ||||
\(873\) | −48.8160 | + | 20.4257i | −1.65217 | + | 0.691306i | ||||
\(874\) | −2.03569 | − | 22.1627i | −0.0688582 | − | 0.749665i | ||||
\(875\) | 6.89610 | − | 30.5888i | 0.233131 | − | 1.03409i | ||||
\(876\) | −43.7544 | − | 3.94441i | −1.47833 | − | 0.133269i | ||||
\(877\) | 2.47861 | − | 3.41151i | 0.0836967 | − | 0.115199i | −0.765116 | − | 0.643893i | \(-0.777318\pi\) |
0.848812 | + | 0.528694i | \(0.177318\pi\) | |||||||
\(878\) | 18.5365 | + | 43.1491i | 0.625578 | + | 1.45621i | ||||
\(879\) | −17.9720 | + | 0.738411i | −0.606179 | + | 0.0249060i | ||||
\(880\) | −16.1435 | − | 3.79916i | −0.544196 | − | 0.128070i | ||||
\(881\) | 2.80298 | + | 0.910745i | 0.0944349 | + | 0.0306838i | 0.355853 | − | 0.934542i | \(-0.384190\pi\) |
−0.261418 | + | 0.965226i | \(0.584190\pi\) | |||||||
\(882\) | 1.61301 | − | 3.30037i | 0.0543129 | − | 0.111129i | ||||
\(883\) | 2.30373 | − | 7.09016i | 0.0775268 | − | 0.238603i | −0.904781 | − | 0.425878i | \(-0.859965\pi\) |
0.982308 | + | 0.187275i | \(0.0599654\pi\) | |||||||
\(884\) | −5.55085 | − | 5.26830i | −0.186695 | − | 0.177192i | ||||
\(885\) | 33.0121 | − | 2.37670i | 1.10969 | − | 0.0798918i | ||||
\(886\) | −30.4223 | − | 18.1008i | −1.02206 | − | 0.608109i | ||||
\(887\) | −27.3957 | − | 37.7070i | −0.919859 | − | 1.26608i | −0.963686 | − | 0.267038i | \(-0.913955\pi\) |
0.0438270 | − | 0.999039i | \(-0.486045\pi\) | |||||||
\(888\) | −24.4268 | − | 33.5014i | −0.819709 | − | 1.12423i | ||||
\(889\) | −5.49837 | − | 3.99480i | −0.184410 | − | 0.133981i | ||||
\(890\) | 10.2129 | − | 52.6051i | 0.342337 | − | 1.76333i | ||||
\(891\) | −14.9229 | − | 7.46922i | −0.499937 | − | 0.250228i | ||||
\(892\) | −0.530853 | + | 4.03006i | −0.0177743 | + | 0.134936i | ||||
\(893\) | 7.85932 | 0.263002 | ||||||||
\(894\) | 43.3257 | + | 23.4253i | 1.44903 | + | 0.783461i | ||||
\(895\) | −6.02148 | + | 20.6791i | −0.201276 | + | 0.691225i | ||||
\(896\) | 18.3195 | − | 25.9080i | 0.612010 | − | 0.865526i | ||||
\(897\) | −12.4709 | + | 0.512389i | −0.416390 | + | 0.0171082i | ||||
\(898\) | −38.9001 | − | 23.1449i | −1.29811 | − | 0.772357i | ||||
\(899\) | 33.6956 | 1.12381 | ||||||||
\(900\) | 17.3221 | − | 24.4937i | 0.577405 | − | 0.816458i | ||||
\(901\) | −2.15434 | −0.0717714 | ||||||||
\(902\) | −14.6240 | − | 8.70108i | −0.486927 | − | 0.289714i | ||||
\(903\) | −38.2365 | + | 1.57102i | −1.27243 | + | 0.0522801i | ||||
\(904\) | −36.6231 | + | 24.4652i | −1.21806 | + | 0.813700i | ||||
\(905\) | 20.9031 | − | 16.1938i | 0.694844 | − | 0.538299i | ||||
\(906\) | −17.1250 | − | 9.25914i | −0.568939 | − | 0.307614i | ||||
\(907\) | −13.6221 | −0.452313 | −0.226157 | − | 0.974091i | \(-0.572616\pi\) | ||||
−0.226157 | + | 0.974091i | \(0.572616\pi\) | |||||||
\(908\) | 51.2385 | + | 6.74931i | 1.70041 | + | 0.223984i | ||||
\(909\) | 1.67811 | + | 20.3870i | 0.0556593 | + | 0.676195i | ||||
\(910\) | −26.5595 | − | 14.7142i | −0.880438 | − | 0.487772i | ||||
\(911\) | 4.26038 | + | 3.09534i | 0.141153 | + | 0.102553i | 0.656121 | − | 0.754656i | \(-0.272196\pi\) |
−0.514968 | + | 0.857209i | \(0.672196\pi\) | |||||||
\(912\) | 38.8882 | − | 34.2180i | 1.28772 | − | 1.13307i | ||||
\(913\) | 6.69949 | + | 9.22106i | 0.221721 | + | 0.305173i | ||||
\(914\) | −33.8494 | − | 20.1399i | −1.11964 | − | 0.666168i | ||||
\(915\) | 1.31621 | + | 3.23854i | 0.0435126 | + | 0.107063i | ||||
\(916\) | −3.98596 | + | 4.19973i | −0.131700 | + | 0.138763i | ||||
\(917\) | 3.58920 | − | 11.0464i | 0.118526 | − | 0.364785i | ||||
\(918\) | −6.13300 | − | 5.46309i | −0.202419 | − | 0.180309i | ||||
\(919\) | 19.0916 | + | 6.20325i | 0.629775 | + | 0.204626i | 0.606475 | − | 0.795102i | \(-0.292583\pi\) |
0.0232996 | + | 0.999729i | \(0.492583\pi\) | |||||||
\(920\) | −12.6957 | + | 4.00517i | −0.418566 | + | 0.132046i | ||||
\(921\) | −29.5132 | + | 1.21260i | −0.972494 | + | 0.0399567i | ||||
\(922\) | 2.59043 | + | 6.02996i | 0.0853111 | + | 0.198586i | ||||
\(923\) | 7.22841 | − | 9.94905i | 0.237926 | − | 0.327477i | ||||
\(924\) | −1.61742 | + | 17.9417i | −0.0532092 | + | 0.590237i | ||||
\(925\) | −22.7175 | + | 35.7009i | −0.746947 | + | 1.17384i | ||||
\(926\) | 1.92416 | + | 20.9485i | 0.0632319 | + | 0.688412i | ||||
\(927\) | −15.6710 | − | 37.4526i | −0.514704 | − | 1.23010i | ||||
\(928\) | 14.8116 | + | 15.2098i | 0.486214 | + | 0.499287i | ||||
\(929\) | 22.1752 | − | 7.20515i | 0.727544 | − | 0.236393i | 0.0782532 | − | 0.996934i | \(-0.475066\pi\) |
0.649291 | + | 0.760540i | \(0.275066\pi\) | |||||||
\(930\) | −48.5206 | + | 8.00287i | −1.59105 | + | 0.262424i | ||||
\(931\) | −6.15669 | − | 2.00043i | −0.201777 | − | 0.0655614i | ||||
\(932\) | −36.4964 | + | 6.76158i | −1.19548 | + | 0.221483i | ||||
\(933\) | 35.3912 | + | 23.5559i | 1.15866 | + | 0.771187i | ||||
\(934\) | −6.92353 | + | 6.07135i | −0.226545 | + | 0.198661i | ||||
\(935\) | 4.63190 | − | 0.142740i | 0.151479 | − | 0.00466810i | ||||
\(936\) | −18.0637 | − | 22.7503i | −0.590432 | − | 0.743617i | ||||
\(937\) | −17.3203 | − | 23.8393i | −0.565829 | − | 0.778797i | 0.426224 | − | 0.904618i | \(-0.359844\pi\) |
−0.992053 | + | 0.125821i | \(0.959844\pi\) | |||||||
\(938\) | −3.91590 | − | 4.46555i | −0.127859 | − | 0.145805i | ||||
\(939\) | 10.3677 | + | 13.1029i | 0.338336 | + | 0.427598i | ||||
\(940\) | −0.998355 | − | 4.59385i | −0.0325627 | − | 0.149835i | ||||
\(941\) | 31.9798 | + | 44.0164i | 1.04251 | + | 1.43489i | 0.895126 | + | 0.445814i | \(0.147086\pi\) |
0.147385 | + | 0.989079i | \(0.452914\pi\) | |||||||
\(942\) | −45.4486 | − | 24.5732i | −1.48080 | − | 0.800637i | ||||
\(943\) | −13.6595 | −0.444816 | ||||||||
\(944\) | −1.78423 | − | 34.1364i | −0.0580719 | − | 1.11104i | ||||
\(945\) | −28.9892 | − | 14.8834i | −0.943018 | − | 0.484158i | ||||
\(946\) | 18.9804 | − | 8.15386i | 0.617107 | − | 0.265105i | ||||
\(947\) | −11.6782 | + | 3.79449i | −0.379492 | + | 0.123304i | −0.492550 | − | 0.870284i | \(-0.663935\pi\) |
0.113058 | + | 0.993588i | \(0.463935\pi\) | |||||||
\(948\) | 13.0623 | + | 11.4156i | 0.424244 | + | 0.370760i | ||||
\(949\) | 43.4172 | 1.40938 | ||||||||
\(950\) | −47.0119 | − | 24.1834i | −1.52527 | − | 0.784614i | ||||
\(951\) | 8.18527 | − | 29.2233i | 0.265425 | − | 0.947631i | ||||
\(952\) | −3.06964 | + | 8.31793i | −0.0994875 | + | 0.269586i | ||||
\(953\) | 5.69564 | + | 17.5294i | 0.184500 | + | 0.567832i | 0.999939 | − | 0.0110099i | \(-0.00350465\pi\) |
−0.815439 | + | 0.578842i | \(0.803505\pi\) | |||||||
\(954\) | −8.09710 | − | 1.14467i | −0.262153 | − | 0.0370600i | ||||
\(955\) | 45.3036 | − | 1.39611i | 1.46599 | − | 0.0451771i | ||||
\(956\) | 2.45258 | − | 18.6191i | 0.0793220 | − | 0.602186i | ||||
\(957\) | −11.6064 | − | 3.25087i | −0.375180 | − | 0.105086i | ||||
\(958\) | 25.5900 | + | 5.79137i | 0.826777 | + | 0.187111i | ||||
\(959\) | −7.34141 | + | 5.33385i | −0.237066 | + | 0.172239i | ||||
\(960\) | −24.9406 | − | 18.3838i | −0.804955 | − | 0.593336i | ||||
\(961\) | 40.1353 | + | 29.1600i | 1.29469 | + | 0.940645i | ||||
\(962\) | 27.0158 | + | 30.8078i | 0.871025 | + | 0.993283i | ||||
\(963\) | −2.41621 | − | 29.3541i | −0.0778612 | − | 0.945921i | ||||
\(964\) | −37.7447 | − | 18.0065i | −1.21568 | − | 0.579952i | ||||
\(965\) | 9.85034 | − | 14.4754i | 0.317094 | − | 0.465979i | ||||
\(966\) | 6.24828 | + | 13.0407i | 0.201035 | + | 0.419578i | ||||
\(967\) | 9.31678 | − | 28.6741i | 0.299608 | − | 0.922097i | −0.682027 | − | 0.731327i | \(-0.738901\pi\) |
0.981635 | − | 0.190770i | \(-0.0610986\pi\) | |||||||
\(968\) | 5.80352 | + | 20.5860i | 0.186532 | + | 0.661658i | ||||
\(969\) | −8.01968 | + | 12.0490i | −0.257629 | + | 0.387071i | ||||
\(970\) | 40.7858 | − | 38.0508i | 1.30955 | − | 1.22174i | ||||
\(971\) | 18.5759 | + | 57.1707i | 0.596129 | + | 1.83470i | 0.549024 | + | 0.835806i | \(0.314999\pi\) |
0.0471045 | + | 0.998890i | \(0.485001\pi\) | |||||||
\(972\) | −20.1483 | − | 23.7918i | −0.646256 | − | 0.763121i | ||||
\(973\) | 11.6233 | − | 15.9981i | 0.372627 | − | 0.512877i | ||||
\(974\) | −2.49534 | − | 27.1670i | −0.0799558 | − | 0.870486i | ||||
\(975\) | −14.8767 | + | 25.6461i | −0.476435 | + | 0.821332i | ||||
\(976\) | 3.37081 | − | 1.29339i | 0.107897 | − | 0.0414005i | ||||
\(977\) | −26.6193 | − | 19.3401i | −0.851627 | − | 0.618744i | 0.0739668 | − | 0.997261i | \(-0.476434\pi\) |
−0.925594 | + | 0.378517i | \(0.876434\pi\) | |||||||
\(978\) | 1.68765 | + | 12.6470i | 0.0539651 | + | 0.404408i | ||||
\(979\) | 29.8831 | − | 9.70960i | 0.955068 | − | 0.310320i | ||||
\(980\) | −0.387197 | + | 3.85275i | −0.0123686 | + | 0.123072i | ||||
\(981\) | 5.02010 | − | 4.31881i | 0.160279 | − | 0.137889i | ||||
\(982\) | −0.750610 | − | 8.17195i | −0.0239529 | − | 0.260778i | ||||
\(983\) | −46.5391 | − | 15.1215i | −1.48437 | − | 0.482300i | −0.548951 | − | 0.835854i | \(-0.684973\pi\) |
−0.935414 | + | 0.353555i | \(0.884973\pi\) | |||||||
\(984\) | −18.7300 | − | 25.6883i | −0.597091 | − | 0.818913i | ||||
\(985\) | 9.29610 | − | 31.9248i | 0.296198 | − | 1.01721i | ||||
\(986\) | −5.09808 | − | 3.03328i | −0.162356 | − | 0.0965994i | ||||
\(987\) | −4.78761 | + | 1.77601i | −0.152391 | + | 0.0565309i | ||||
\(988\) | −35.2411 | + | 37.1312i | −1.12117 | + | 1.18130i | ||||
\(989\) | 9.74674 | − | 13.4152i | 0.309928 | − | 0.426580i | ||||
\(990\) | 17.4849 | + | 1.92458i | 0.555706 | + | 0.0611673i | ||||
\(991\) | 31.2519 | + | 43.0145i | 0.992748 | + | 1.36640i | 0.929670 | + | 0.368392i | \(0.120092\pi\) |
0.0630779 | + | 0.998009i | \(0.479908\pi\) | |||||||
\(992\) | 7.27907 | + | 50.2646i | 0.231111 | + | 1.59590i | ||||
\(993\) | −42.3427 | − | 11.8599i | −1.34371 | − | 0.376364i | ||||
\(994\) | −13.8961 | − | 3.14487i | −0.440757 | − | 0.0997493i | ||||
\(995\) | 18.3101 | − | 26.9073i | 0.580471 | − | 0.853019i | ||||
\(996\) | 4.73533 | + | 20.7608i | 0.150045 | + | 0.657831i | ||||
\(997\) | −51.0502 | + | 16.5872i | −1.61678 | + | 0.525322i | −0.971178 | − | 0.238356i | \(-0.923392\pi\) |
−0.645598 | + | 0.763678i | \(0.723392\pi\) | |||||||
\(998\) | 25.1849 | + | 14.9847i | 0.797215 | + | 0.474331i | ||||
\(999\) | 30.0243 | + | 32.1315i | 0.949927 | + | 1.01660i |
(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 | 300.2.r.a.59.38 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.19 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.16 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.41 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.41 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.16 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.19 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.38 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.16 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.19 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.38 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.41 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.16 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.19 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.38 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.41 | yes | 224 | 25.14 | even | 10 | inner |