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 | 239.19 | ||
Character | \(\chi\) | \(=\) | 300.239 |
Dual form | 300.2.r.a.59.19 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 | ||||
\(3\) | −1.44187 | − | 0.959691i | −0.832465 | − | 0.554078i | ||||
\(4\) | −0.954195 | + | 1.75770i | −0.477097 | + | 0.878850i | ||||
\(5\) | 1.84864 | − | 1.25798i | 0.826738 | − | 0.562587i | ||||
\(6\) | −0.123723 | + | 2.44636i | −0.0505097 | + | 0.998724i | ||||
\(7\) | 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 | ||||
\(9\) | 1.15799 | + | 2.76750i | 0.385996 | + | 0.922501i | ||||
\(10\) | −2.86569 | − | 1.33709i | −0.906211 | − | 0.422826i | ||||
\(11\) | 1.50008 | − | 1.08987i | 0.452291 | − | 0.328609i | −0.338209 | − | 0.941071i | \(-0.609821\pi\) |
0.790500 | + | 0.612462i | \(0.209821\pi\) | |||||||
\(12\) | 3.06268 | − | 1.61865i | 0.884118 | − | 0.467263i | ||||
\(13\) | 2.01229 | − | 2.76969i | 0.558110 | − | 0.768173i | −0.432975 | − | 0.901406i | \(-0.642536\pi\) |
0.991085 | + | 0.133234i | \(0.0425360\pi\) | |||||||
\(14\) | −2.02807 | − | 3.40861i | −0.542025 | − | 0.910989i | ||||
\(15\) | −3.87278 | + | 0.0397234i | −0.999947 | + | 0.0102565i | ||||
\(16\) | −2.17902 | − | 3.35438i | −0.544756 | − | 0.838595i | ||||
\(17\) | −0.345387 | − | 1.06299i | −0.0837686 | − | 0.257813i | 0.900396 | − | 0.435072i | \(-0.143277\pi\) |
−0.984164 | + | 0.177259i | \(0.943277\pi\) | |||||||
\(18\) | 2.52615 | − | 3.40861i | 0.595418 | − | 0.803416i | ||||
\(19\) | −7.11064 | + | 2.31039i | −1.63129 | + | 0.530039i | −0.974568 | − | 0.224090i | \(-0.928059\pi\) |
−0.656725 | + | 0.754130i | \(0.728059\pi\) | |||||||
\(20\) | 0.447192 | + | 4.44972i | 0.0999951 | + | 0.994988i | ||||
\(21\) | −4.04389 | − | 2.69156i | −0.882449 | − | 0.587346i | ||||
\(22\) | −2.40932 | − | 1.03503i | −0.513670 | − | 0.220669i | ||||
\(23\) | 1.23722 | + | 1.70289i | 0.257979 | + | 0.355078i | 0.918286 | − | 0.395918i | \(-0.129574\pi\) |
−0.660307 | + | 0.750996i | \(0.729574\pi\) | |||||||
\(24\) | −4.18192 | − | 2.55177i | −0.853631 | − | 0.520879i | ||||
\(25\) | 1.83496 | − | 4.65112i | 0.366992 | − | 0.930224i | ||||
\(26\) | −4.82129 | − | 0.442845i | −0.945533 | − | 0.0868490i | ||||
\(27\) | 0.986279 | − | 5.10169i | 0.189809 | − | 0.981821i | ||||
\(28\) | −2.67615 | + | 4.92967i | −0.505744 | + | 0.931619i | ||||
\(29\) | −3.56932 | − | 1.15974i | −0.662806 | − | 0.215359i | −0.0417538 | − | 0.999128i | \(-0.513294\pi\) |
−0.621052 | + | 0.783769i | \(0.713294\pi\) | |||||||
\(30\) | 2.84876 | + | 4.67809i | 0.520111 | + | 0.854099i | ||||
\(31\) | 8.53887 | − | 2.77445i | 1.53363 | − | 0.498306i | 0.584018 | − | 0.811741i | \(-0.301480\pi\) |
0.949610 | + | 0.313435i | \(0.101480\pi\) | |||||||
\(32\) | −2.50108 | + | 5.07391i | −0.442132 | + | 0.896950i | ||||
\(33\) | −3.20886 | + | 0.131842i | −0.558591 | + | 0.0229507i | ||||
\(34\) | −1.04216 | + | 1.18844i | −0.178729 | + | 0.203816i | ||||
\(35\) | 5.18472 | − | 3.52815i | 0.876378 | − | 0.596366i | ||||
\(36\) | −5.96939 | − | 0.605342i | −0.994898 | − | 0.100890i | ||||
\(37\) | 4.97454 | − | 6.84687i | 0.817809 | − | 1.12562i | −0.172262 | − | 0.985051i | \(-0.555108\pi\) |
0.990071 | − | 0.140567i | \(-0.0448924\pi\) | |||||||
\(38\) | 7.94980 | + | 6.97130i | 1.28963 | + | 1.13089i | ||||
\(39\) | −5.55951 | + | 2.06235i | −0.890234 | + | 0.330240i | ||||
\(40\) | 5.08464 | − | 3.76118i | 0.803951 | − | 0.594695i | ||||
\(41\) | −3.81439 | + | 5.25005i | −0.595707 | + | 0.819921i | −0.995307 | − | 0.0967691i | \(-0.969149\pi\) |
0.399600 | + | 0.916690i | \(0.369149\pi\) | |||||||
\(42\) | −0.346995 | + | 6.86110i | −0.0535424 | + | 1.05869i | ||||
\(43\) | −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 | ||||
\(45\) | 5.62217 | + | 3.65940i | 0.838104 | + | 0.545510i | ||||
\(46\) | 1.17496 | − | 2.73507i | 0.173239 | − | 0.403264i | ||||
\(47\) | 0.999744 | + | 0.324837i | 0.145828 | + | 0.0473823i | 0.381021 | − | 0.924566i | \(-0.375572\pi\) |
−0.235194 | + | 0.971949i | \(0.575572\pi\) | |||||||
\(48\) | −0.0772933 | + | 6.92777i | −0.0111563 | + | 0.999938i | ||||
\(49\) | 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 | \(-0.857738\pi\) |
0.983594 | + | 0.180396i | \(0.0577381\pi\) | |||||||
\(54\) | −6.91358 | + | 2.49045i | −0.940820 | + | 0.338908i | ||||
\(55\) | 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 | \(-0.112228\pi\) |
−0.0384059 | + | 0.999262i | \(0.512228\pi\) | |||||||
\(60\) | 3.62556 | − | 6.84509i | 0.468058 | − | 0.883698i | ||||
\(61\) | −0.730226 | + | 0.530540i | −0.0934959 | + | 0.0679287i | −0.633551 | − | 0.773701i | \(-0.718403\pi\) |
0.540055 | + | 0.841630i | \(0.318403\pi\) | |||||||
\(62\) | −9.54658 | − | 8.37154i | −1.21242 | − | 1.06319i | ||||
\(63\) | 3.24770 | + | 7.76177i | 0.409172 | + | 0.977891i | ||||
\(64\) | 7.97521 | − | 0.629343i | 0.996901 | − | 0.0786678i | ||||
\(65\) | 0.235797 | − | 7.65159i | 0.0292470 | − | 0.949063i | ||||
\(66\) | 2.48063 | + | 3.80458i | 0.305344 | + | 0.468312i | ||||
\(67\) | 0.462733 | + | 1.42415i | 0.0565319 | + | 0.173987i | 0.975335 | − | 0.220728i | \(-0.0708433\pi\) |
−0.918804 | + | 0.394715i | \(0.870843\pi\) | |||||||
\(68\) | 2.19799 | + | 0.407214i | 0.266545 | + | 0.0493820i | ||||
\(69\) | −0.149667 | − | 3.64271i | −0.0180178 | − | 0.438530i | ||||
\(70\) | −8.03715 | − | 3.75002i | −0.960623 | − | 0.448213i | ||||
\(71\) | 1.11003 | − | 3.41631i | 0.131736 | − | 0.405442i | −0.863332 | − | 0.504636i | \(-0.831627\pi\) |
0.995068 | + | 0.0991946i | \(0.0316266\pi\) | |||||||
\(72\) | 3.58087 | + | 7.69268i | 0.422010 | + | 0.906591i | ||||
\(73\) | 7.45432 | + | 10.2600i | 0.872462 | + | 1.20084i | 0.978452 | + | 0.206474i | \(0.0661987\pi\) |
−0.105990 | + | 0.994367i | \(0.533801\pi\) | |||||||
\(74\) | −11.9186 | − | 1.09475i | −1.38551 | − | 0.127262i | ||||
\(75\) | −7.10941 | + | 4.94532i | −0.820924 | + | 0.571037i | ||||
\(76\) | 2.72397 | − | 14.7029i | 0.312461 | − | 1.68654i | ||||
\(77\) | 4.20714 | − | 3.05667i | 0.479448 | − | 0.348340i | ||||
\(78\) | 6.52669 | + | 5.26548i | 0.739002 | + | 0.596198i | ||||
\(79\) | −4.76272 | − | 1.54750i | −0.535848 | − | 0.174108i | 0.0285776 | − | 0.999592i | \(-0.490902\pi\) |
−0.564425 | + | 0.825484i | \(0.690902\pi\) | |||||||
\(80\) | −8.24799 | − | 3.45987i | −0.922153 | − | 0.386825i | ||||
\(81\) | −6.31813 | + | 6.40946i | −0.702015 | + | 0.712162i | ||||
\(82\) | 9.13896 | + | 0.839431i | 1.00923 | + | 0.0926996i | ||||
\(83\) | 5.84619 | − | 1.89954i | 0.641703 | − | 0.208502i | 0.0299505 | − | 0.999551i | \(-0.490465\pi\) |
0.611752 | + | 0.791050i | \(0.290465\pi\) | |||||||
\(84\) | 8.58961 | − | 4.53967i | 0.937204 | − | 0.495319i | ||||
\(85\) | −1.97572 | − | 1.53060i | −0.214297 | − | 0.166017i | ||||
\(86\) | 5.69668 | + | 9.57449i | 0.614288 | + | 1.03244i | ||||
\(87\) | 4.03351 | + | 5.09764i | 0.432437 | + | 0.546525i | ||||
\(88\) | 4.11823 | − | 3.24725i | 0.439005 | − | 0.346158i | ||||
\(89\) | 9.96050 | + | 13.7094i | 1.05581 | + | 1.45320i | 0.883661 | + | 0.468128i | \(0.155071\pi\) |
0.172150 | + | 0.985071i | \(0.444929\pi\) | |||||||
\(90\) | 0.381974 | − | 9.47914i | 0.0402636 | − | 0.999189i | ||||
\(91\) | 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 | ||||
\(96\) | 8.47562 | − | 4.91567i | 0.865040 | − | 0.501704i | ||||
\(97\) | −16.7757 | − | 5.45075i | −1.70331 | − | 0.553440i | −0.714115 | − | 0.700028i | \(-0.753171\pi\) |
−0.989198 | + | 0.146588i | \(0.953171\pi\) | |||||||
\(98\) | −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 | \(0.889830\pi\) | |||||||
\(102\) | 2.64319 | − | 0.713425i | 0.261715 | − | 0.0706396i | ||||
\(103\) | −4.18192 | + | 12.8706i | −0.412057 | + | 1.26818i | 0.502800 | + | 0.864403i | \(0.332303\pi\) |
−0.914857 | + | 0.403778i | \(0.867697\pi\) | |||||||
\(104\) | 5.37884 | − | 8.05183i | 0.527439 | − | 0.789547i | ||||
\(105\) | −10.8616 | + | 0.111409i | −1.05999 | + | 0.0108724i | ||||
\(106\) | −2.65864 | + | 0.601685i | −0.258230 | + | 0.0584409i | ||||
\(107\) | − | 9.81778i | − | 0.949120i | −0.880223 | − | 0.474560i | \(-0.842607\pi\) | ||
0.880223 | − | 0.474560i | \(-0.157393\pi\) | |||||||
\(108\) | 8.02614 | + | 6.60159i | 0.772316 | + | 0.635238i | ||||
\(109\) | 1.78582 | + | 1.29748i | 0.171051 | + | 0.124276i | 0.670017 | − | 0.742346i | \(-0.266287\pi\) |
−0.498966 | + | 0.866622i | \(0.666287\pi\) | |||||||
\(110\) | −5.75603 | + | 1.11749i | −0.548816 | + | 0.106549i | ||||
\(111\) | −13.7435 | + | 5.09828i | −1.30448 | + | 0.483907i | ||||
\(112\) | −6.11132 | − | 9.40772i | −0.577465 | − | 0.888946i | ||||
\(113\) | −12.5977 | − | 9.15275i | −1.18509 | − | 0.861018i | −0.192353 | − | 0.981326i | \(-0.561612\pi\) |
−0.992737 | + | 0.120308i | \(0.961612\pi\) | |||||||
\(114\) | −4.77230 | − | 17.6811i | −0.446967 | − | 1.65598i | ||||
\(115\) | 4.42940 | + | 1.59163i | 0.413043 | + | 0.148421i | ||||
\(116\) | 5.44431 | − | 5.16718i | 0.505491 | − | 0.479760i | ||||
\(117\) | 9.99532 | + | 2.36177i | 0.924068 | + | 0.218346i | ||||
\(118\) | 1.10542 | − | 12.0348i | 0.101762 | − | 1.10790i | ||||
\(119\) | −0.968675 | − | 2.98128i | −0.0887983 | − | 0.273293i | ||||
\(120\) | −10.9410 | + | 0.543461i | −0.998769 | + | 0.0496109i | ||||
\(121\) | −2.33677 | + | 7.19183i | −0.212433 | + | 0.653803i | ||||
\(122\) | 1.17284 | + | 0.503842i | 0.106184 | + | 0.0456158i | ||||
\(123\) | 10.5383 | − | 3.90927i | 0.950205 | − | 0.352487i | ||||
\(124\) | −3.27110 | + | 17.6562i | −0.293753 | + | 1.58557i | ||||
\(125\) | −2.45884 | − | 10.9066i | −0.219926 | − | 0.975517i | ||||
\(126\) | 7.08485 | − | 9.55981i | 0.631169 | − | 0.851656i | ||||
\(127\) | −1.96048 | + | 1.42437i | −0.173964 | + | 0.126392i | −0.671360 | − | 0.741131i | \(-0.734290\pi\) |
0.497396 | + | 0.867524i | \(0.334290\pi\) | |||||||
\(128\) | −6.53191 | − | 9.23765i | −0.577345 | − | 0.816501i | ||||
\(129\) | 11.3589 | + | 7.56036i | 1.00010 | + | 0.665653i | ||||
\(130\) | −9.46994 | + | 5.24644i | −0.830569 | + | 0.460143i | ||||
\(131\) | −1.27975 | − | 3.93867i | −0.111812 | − | 0.344123i | 0.879457 | − | 0.475979i | \(-0.157906\pi\) |
−0.991269 | + | 0.131856i | \(0.957906\pi\) | |||||||
\(132\) | 2.83014 | − | 5.76602i | 0.246332 | − | 0.501868i | ||||
\(133\) | −19.9426 | + | 6.47974i | −1.72924 | + | 0.561865i | ||||
\(134\) | 1.39624 | − | 1.59222i | 0.120617 | − | 0.137546i | ||||
\(135\) | −4.59456 | − | 10.6719i | −0.395437 | − | 0.918493i | ||||
\(136\) | −1.09450 | − | 2.96581i | −0.0938523 | − | 0.254316i | ||||
\(137\) | 2.61762 | + | 1.90181i | 0.223638 | + | 0.162483i | 0.693963 | − | 0.720011i | \(-0.255863\pi\) |
−0.470325 | + | 0.882494i | \(0.655863\pi\) | |||||||
\(138\) | −4.31897 | + | 2.81601i | −0.367655 | + | 0.239715i | ||||
\(139\) | 4.14436 | + | 5.70423i | 0.351520 | + | 0.483826i | 0.947762 | − | 0.318979i | \(-0.103340\pi\) |
−0.596241 | + | 0.802805i | \(0.703340\pi\) | |||||||
\(140\) | 1.25420 | + | 12.4797i | 0.105999 | + | 1.05473i | ||||
\(141\) | −1.12976 | − | 1.42782i | −0.0951429 | − | 0.120244i | ||||
\(142\) | −4.95473 | + | 1.12132i | −0.415792 | + | 0.0940993i | ||||
\(143\) | − | 6.34789i | − | 0.530838i | ||||||
\(144\) | 6.75997 | − | 9.91478i | 0.563331 | − | 0.826232i | ||||
\(145\) | −8.05733 | + | 2.34619i | −0.669125 | + | 0.194841i | ||||
\(146\) | 7.07920 | − | 16.4789i | 0.585879 | − | 1.36380i | ||||
\(147\) | −1.24843 | − | 0.830940i | −0.102969 | − | 0.0685348i | ||||
\(148\) | 7.28806 | + | 15.2770i | 0.599075 | + | 1.25576i | ||||
\(149\) | 20.1075i | 1.64727i | 0.567122 | + | 0.823634i | \(0.308057\pi\) | ||||
−0.567122 | + | 0.823634i | \(0.691943\pi\) | |||||||
\(150\) | 11.1513 | + | 5.06443i | 0.910500 | + | 0.413509i | ||||
\(151\) | 7.94771i | 0.646776i | 0.946267 | + | 0.323388i | \(0.104822\pi\) | ||||
−0.946267 | + | 0.323388i | \(0.895178\pi\) | |||||||
\(152\) | −19.8391 | + | 7.32139i | −1.60916 | + | 0.593844i | ||||
\(153\) | 2.54188 | − | 2.18679i | 0.205499 | − | 0.176791i | ||||
\(154\) | −6.75722 | − | 2.90285i | −0.544512 | − | 0.233918i | ||||
\(155\) | 12.2951 | − | 15.8707i | 0.987568 | − | 1.27477i | ||||
\(156\) | 1.67986 | − | 11.7398i | 0.134497 | − | 0.939940i | ||||
\(157\) | 21.0927i | 1.68338i | 0.539959 | + | 0.841691i | \(0.318440\pi\) | ||||
−0.539959 | + | 0.841691i | \(0.681560\pi\) | |||||||
\(158\) | 1.56325 | + | 6.90744i | 0.124365 | + | 0.549527i | ||||
\(159\) | −2.61807 | + | 2.07154i | −0.207626 | + | 0.164284i | ||||
\(160\) | 1.75930 | + | 12.5262i | 0.139085 | + | 0.990280i | ||||
\(161\) | 3.46993 | + | 4.77595i | 0.273469 | + | 0.376398i | ||||
\(162\) | 12.3586 | + | 3.04399i | 0.970981 | + | 0.239159i | ||||
\(163\) | −4.21409 | − | 3.06171i | −0.330073 | − | 0.239812i | 0.410389 | − | 0.911911i | \(-0.365393\pi\) |
−0.740461 | + | 0.672099i | \(0.765393\pi\) | |||||||
\(164\) | −5.58835 | − | 11.7141i | −0.436377 | − | 0.914720i | ||||
\(165\) | −5.76619 | + | 4.28042i | −0.448897 | + | 0.333230i | ||||
\(166\) | −6.53612 | − | 5.73162i | −0.507301 | − | 0.444860i | ||||
\(167\) | 5.01679 | − | 1.63005i | 0.388211 | − | 0.126137i | −0.108407 | − | 0.994107i | \(-0.534575\pi\) |
0.496618 | + | 0.867969i | \(0.334575\pi\) | |||||||
\(168\) | −11.7287 | − | 7.15674i | −0.904885 | − | 0.552154i | ||||
\(169\) | 0.395392 | + | 1.21689i | 0.0304148 | + | 0.0936070i | ||||
\(170\) | −0.431545 | + | 3.50802i | −0.0330980 | + | 0.269053i | ||||
\(171\) | −14.6280 | − | 17.0033i | −1.11863 | − | 1.30028i | ||||
\(172\) | 7.51706 | − | 13.8470i | 0.573171 | − | 1.05582i | ||||
\(173\) | 13.1367 | − | 9.54436i | 0.998764 | − | 0.725644i | 0.0369410 | − | 0.999317i | \(-0.488239\pi\) |
0.961823 | + | 0.273673i | \(0.0882386\pi\) | |||||||
\(174\) | 3.27876 | − | 8.58836i | 0.248562 | − | 0.651082i | ||||
\(175\) | 5.14635 | − | 13.0446i | 0.389027 | − | 0.986078i | ||||
\(176\) | −6.92455 | − | 2.65698i | −0.521958 | − | 0.200277i | ||||
\(177\) | −5.14801 | − | 13.8776i | −0.386948 | − | 1.04310i | ||||
\(178\) | 9.45926 | − | 22.0192i | 0.709002 | − | 1.65041i | ||||
\(179\) | 2.97647 | − | 9.16063i | 0.222472 | − | 0.684697i | −0.776067 | − | 0.630651i | \(-0.782788\pi\) |
0.998538 | − | 0.0540466i | \(-0.0172119\pi\) | |||||||
\(180\) | −11.7968 | + | 6.39032i | −0.879279 | + | 0.476306i | ||||
\(181\) | −3.65420 | − | 11.2465i | −0.271614 | − | 0.835943i | −0.990095 | − | 0.140396i | \(-0.955162\pi\) |
0.718481 | − | 0.695546i | \(-0.244838\pi\) | |||||||
\(182\) | −13.5218 | − | 1.24201i | −1.00231 | − | 0.0920637i | ||||
\(183\) | 1.56205 | − | 0.0641795i | 0.115470 | − | 0.00474429i | ||||
\(184\) | 3.68629 | + | 4.67502i | 0.271757 | + | 0.344647i | ||||
\(185\) | 0.582908 | − | 18.9153i | 0.0428563 | − | 1.39068i | ||||
\(186\) | 5.73085 | + | 21.2325i | 0.420207 | + | 1.55684i | ||||
\(187\) | −1.67663 | − | 1.21814i | −0.122607 | − | 0.0890795i | ||||
\(188\) | −1.52492 | + | 1.44729i | −0.111216 | + | 0.105555i | ||||
\(189\) | 2.76613 | − | 14.3083i | 0.201206 | − | 1.04077i | ||||
\(190\) | 23.4661 | + | 2.88673i | 1.70241 | + | 0.209425i | ||||
\(191\) | 16.3988 | + | 11.9144i | 1.18657 | + | 0.862096i | 0.992898 | − | 0.118970i | \(-0.0379591\pi\) |
0.193675 | + | 0.981066i | \(0.437959\pi\) | |||||||
\(192\) | −12.1032 | − | 6.74630i | −0.873473 | − | 0.486872i | ||||
\(193\) | − | 7.83027i | − | 0.563635i | −0.959468 | − | 0.281818i | \(-0.909063\pi\) | ||
0.959468 | − | 0.281818i | \(-0.0909373\pi\) | |||||||
\(194\) | 5.50622 | + | 24.3300i | 0.395323 | + | 1.74679i | ||||
\(195\) | −7.68315 | + | 10.8063i | −0.550202 | + | 0.773856i | ||||
\(196\) | −0.826181 | + | 1.52189i | −0.0590129 | + | 0.108706i | ||||
\(197\) | −4.59514 | + | 14.1424i | −0.327390 | + | 1.00760i | 0.642960 | + | 0.765900i | \(0.277706\pi\) |
−0.970350 | + | 0.241703i | \(0.922294\pi\) | |||||||
\(198\) | 0.0744765 | − | 7.86636i | 0.00529281 | − | 0.559038i | ||||
\(199\) | − | 14.5552i | − | 1.03179i | −0.856652 | − | 0.515894i | \(-0.827460\pi\) | ||
0.856652 | − | 0.515894i | \(-0.172540\pi\) | |||||||
\(200\) | 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 | ||||
\(204\) | −2.77841 | − | 2.69654i | −0.194528 | − | 0.188795i | ||||
\(205\) | −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 | ||||
\(210\) | 7.98967 | + | 13.1202i | 0.551340 | + | 0.905382i | ||||
\(211\) | 5.00382 | + | 6.88717i | 0.344477 | + | 0.474132i | 0.945742 | − | 0.324917i | \(-0.105337\pi\) |
−0.601265 | + | 0.799049i | \(0.705337\pi\) | |||||||
\(212\) | 2.65378 | + | 2.79611i | 0.182262 | + | 0.192037i | ||||
\(213\) | −4.87912 | + | 3.86060i | −0.334312 | + | 0.264524i | ||||
\(214\) | −11.9321 | + | 7.09943i | −0.815663 | + | 0.485307i | ||||
\(215\) | −14.5634 | + | 9.91028i | −0.993219 | + | 0.675875i | ||||
\(216\) | 2.21944 | − | 14.5284i | 0.151014 | − | 0.988532i | ||||
\(217\) | 23.9482 | − | 7.78125i | 1.62571 | − | 0.528226i | ||||
\(218\) | 0.285535 | − | 3.10865i | 0.0193389 | − | 0.210544i | ||||
\(219\) | −0.901750 | − | 21.9474i | −0.0609346 | − | 1.48307i | ||||
\(220\) | 5.52045 | + | 6.18756i | 0.372189 | + | 0.417165i | ||||
\(221\) | −3.63917 | − | 1.18244i | −0.244797 | − | 0.0795394i | ||||
\(222\) | 16.1345 | + | 13.0166i | 1.08287 | + | 0.873620i | ||||
\(223\) | −1.64427 | + | 1.19463i | −0.110109 | + | 0.0799987i | −0.641477 | − | 0.767142i | \(-0.721678\pi\) |
0.531368 | + | 0.847141i | \(0.321678\pi\) | |||||||
\(224\) | −7.01455 | + | 14.2304i | −0.468679 | + | 0.950806i | ||||
\(225\) | 14.9968 | − | 0.307680i | 0.999790 | − | 0.0205120i | ||||
\(226\) | −2.01424 | + | 21.9292i | −0.133985 | + | 1.45871i | ||||
\(227\) | 15.1887 | + | 20.9054i | 1.00811 | + | 1.38754i | 0.920215 | + | 0.391413i | \(0.128014\pi\) |
0.0878937 | + | 0.996130i | \(0.471986\pi\) | |||||||
\(228\) | −18.0379 | + | 18.5856i | −1.19459 | + | 1.23086i | ||||
\(229\) | −0.894624 | + | 2.75337i | −0.0591184 | + | 0.181948i | −0.976255 | − | 0.216626i | \(-0.930495\pi\) |
0.917136 | + | 0.398574i | \(0.130495\pi\) | |||||||
\(230\) | −1.26858 | − | 6.53425i | −0.0836475 | − | 0.430856i | ||||
\(231\) | −8.99961 | + | 0.369765i | −0.592131 | + | 0.0243288i | ||||
\(232\) | −10.2169 | − | 2.88030i | −0.670770 | − | 0.189101i | ||||
\(233\) | −5.73497 | − | 17.6504i | −0.375710 | − | 1.15632i | −0.942998 | − | 0.332798i | \(-0.892007\pi\) |
0.567288 | − | 0.823520i | \(-0.307993\pi\) | |||||||
\(234\) | −4.35742 | − | 13.8557i | −0.284853 | − | 0.905778i | ||||
\(235\) | 2.25681 | − | 0.657154i | 0.147218 | − | 0.0428680i | ||||
\(236\) | −15.4260 | + | 7.35915i | −1.00415 | + | 0.479040i | ||||
\(237\) | 5.38211 | + | 6.80204i | 0.349605 | + | 0.441840i | ||||
\(238\) | −2.92285 | + | 3.33311i | −0.189460 | + | 0.216053i | ||||
\(239\) | −7.59666 | + | 5.51929i | −0.491387 | + | 0.357013i | −0.805717 | − | 0.592300i | \(-0.798220\pi\) |
0.314331 | + | 0.949314i | \(0.398220\pi\) | |||||||
\(240\) | 8.57213 | + | 12.9042i | 0.553329 | + | 0.832963i | ||||
\(241\) | 16.9165 | + | 12.2905i | 1.08969 | + | 0.791704i | 0.979346 | − | 0.202190i | \(-0.0648059\pi\) |
0.110340 | + | 0.993894i | \(0.464806\pi\) | |||||||
\(242\) | 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 | ||||
\(246\) | −12.3716 | − | 9.98093i | −0.788785 | − | 0.636361i | ||||
\(247\) | −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 | \(-0.583548\pi\) | ||||
−0.259469 | + | 0.965751i | \(0.583548\pi\) | |||||||
\(252\) | −16.7418 | − | 1.69775i | −1.05463 | − | 0.106948i | ||||
\(253\) | 3.71187 | + | 1.20606i | 0.233363 | + | 0.0758244i | ||||
\(254\) | 3.14878 | + | 1.35269i | 0.197572 | + | 0.0848755i | ||||
\(255\) | 1.37983 | + | 4.10301i | 0.0864084 | + | 0.256940i | ||||
\(256\) | −6.50371 | + | 14.6185i | −0.406482 | + | 0.913659i | ||||
\(257\) | 11.5351 | 0.719538 | 0.359769 | − | 0.933041i | \(-0.382855\pi\) | ||||
0.359769 | + | 0.933041i | \(0.382855\pi\) | |||||||
\(258\) | 0.974678 | − | 19.2722i | 0.0606808 | − | 1.19984i | ||||
\(259\) | 13.9516 | − | 19.2028i | 0.866913 | − | 1.19320i | ||||
\(260\) | 13.2242 | + | 7.71557i | 0.820131 | + | 0.478499i | ||||
\(261\) | −0.923635 | − | 11.2211i | −0.0571716 | − | 0.694566i | ||||
\(262\) | −3.86148 | + | 4.40349i | −0.238563 | + | 0.272048i | ||||
\(263\) | −10.6114 | + | 14.6054i | −0.654330 | + | 0.900608i | −0.999277 | − | 0.0380143i | \(-0.987897\pi\) |
0.344947 | + | 0.938622i | \(0.387897\pi\) | |||||||
\(264\) | −9.05432 | + | 0.729889i | −0.557255 | + | 0.0449216i | ||||
\(265\) | −1.20497 | − | 4.13811i | −0.0740205 | − | 0.254202i | ||||
\(266\) | 22.2961 | + | 19.5518i | 1.36706 | + | 1.19880i | ||||
\(267\) | −1.20492 | − | 29.3263i | −0.0737401 | − | 1.79474i | ||||
\(268\) | −2.94476 | − | 0.545567i | −0.179880 | − | 0.0333258i | ||||
\(269\) | −6.82911 | + | 2.21891i | −0.416378 | + | 0.135289i | −0.509711 | − | 0.860346i | \(-0.670248\pi\) |
0.0933334 | + | 0.995635i | \(0.470248\pi\) | |||||||
\(270\) | −9.64780 | + | 13.3011i | −0.587147 | + | 0.809481i | ||||
\(271\) | 9.40434 | + | 3.05565i | 0.571273 | + | 0.185618i | 0.580387 | − | 0.814341i | \(-0.302901\pi\) |
−0.00911443 | + | 0.999958i | \(0.502901\pi\) | |||||||
\(272\) | −2.81307 | + | 3.47484i | −0.170567 | + | 0.210693i | ||||
\(273\) | −15.5923 | + | 5.78409i | −0.943687 | + | 0.350069i | ||||
\(274\) | 0.418531 | − | 4.55659i | 0.0252844 | − | 0.275274i | ||||
\(275\) | −2.31654 | − | 8.97693i | −0.139693 | − | 0.541329i | ||||
\(276\) | 6.54560 | + | 3.21278i | 0.393999 | + | 0.193387i | ||||
\(277\) | 1.96968 | + | 2.71103i | 0.118347 | + | 0.162890i | 0.864080 | − | 0.503354i | \(-0.167901\pi\) |
−0.745734 | + | 0.666244i | \(0.767901\pi\) | |||||||
\(278\) | 3.93581 | − | 9.16173i | 0.236054 | − | 0.549484i | ||||
\(279\) | 17.5662 | + | 20.4186i | 1.05166 | + | 1.22243i | ||||
\(280\) | 14.2604 | − | 10.5486i | 0.852223 | − | 0.630402i | ||||
\(281\) | −12.3397 | + | 4.00940i | −0.736122 | + | 0.239181i | −0.652999 | − | 0.757359i | \(-0.726490\pi\) |
−0.0831232 | + | 0.996539i | \(0.526490\pi\) | |||||||
\(282\) | −0.918359 | + | 2.40555i | −0.0546875 | + | 0.143248i | ||||
\(283\) | 0.0785686 | + | 0.241809i | 0.00467042 | + | 0.0143741i | 0.953365 | − | 0.301821i | \(-0.0975945\pi\) |
−0.948694 | + | 0.316195i | \(0.897595\pi\) | |||||||
\(284\) | 4.94567 | + | 5.21092i | 0.293472 | + | 0.309211i | ||||
\(285\) | 27.4462 | − | 9.23008i | 1.62577 | − | 0.546743i | ||||
\(286\) | −7.71497 | + | 4.59029i | −0.456196 | + | 0.271429i | ||||
\(287\) | −10.6979 | + | 14.7244i | −0.631475 | + | 0.869151i | ||||
\(288\) | −16.9383 | − | 1.04621i | −0.998098 | − | 0.0616486i | ||||
\(289\) | 12.7426 | − | 9.25806i | 0.749567 | − | 0.544592i | ||||
\(290\) | 8.67788 | + | 8.09597i | 0.509583 | + | 0.475412i | ||||
\(291\) | 18.9573 | + | 23.9588i | 1.11130 | + | 1.40449i | ||||
\(292\) | −25.1469 | + | 3.31243i | −1.47161 | + | 0.193845i | ||||
\(293\) | 10.3849 | 0.606691 | 0.303345 | − | 0.952881i | \(-0.401896\pi\) | ||||
0.303345 | + | 0.952881i | \(0.401896\pi\) | |||||||
\(294\) | −0.107124 | + | 2.11816i | −0.00624762 | + | 0.123534i | ||||
\(295\) | 19.0998 | + | 0.588594i | 1.11203 | + | 0.0342693i | ||||
\(296\) | 13.2969 | − | 19.9047i | 0.772866 | − | 1.15694i | ||||
\(297\) | −4.08069 | − | 8.72786i | −0.236786 | − | 0.506442i | ||||
\(298\) | 24.4378 | − | 14.5401i | 1.41564 | − | 0.842286i | ||||
\(299\) | 7.20614 | 0.416742 | ||||||||
\(300\) | −1.90863 | − | 17.2150i | −0.110195 | − | 0.993910i | ||||
\(301\) | −22.0945 | −1.27350 | ||||||||
\(302\) | 9.65932 | − | 5.74715i | 0.555832 | − | 0.330711i | ||||
\(303\) | 6.54380 | − | 9.83163i | 0.375932 | − | 0.564812i | ||||
\(304\) | 23.2442 | + | 18.8174i | 1.33315 | + | 1.07925i | ||||
\(305\) | −0.682517 | + | 1.89939i | −0.0390808 | + | 0.108759i | ||||
\(306\) | −4.49581 | − | 1.50798i | −0.257009 | − | 0.0862056i | ||||
\(307\) | −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 | ||||
\(309\) | 18.3816 | − | 14.5444i | 1.04569 | − | 0.827405i | ||||
\(310\) | −28.1795 | − | 3.46655i | −1.60049 | − | 0.196887i | ||||
\(311\) | −19.8576 | + | 14.4274i | −1.12602 | + | 0.818102i | −0.985111 | − | 0.171920i | \(-0.945003\pi\) |
−0.140910 | + | 0.990022i | \(0.545003\pi\) | |||||||
\(312\) | −15.4829 | + | 6.44768i | −0.876545 | + | 0.365028i | ||||
\(313\) | 5.67018 | − | 7.80433i | 0.320497 | − | 0.441127i | −0.618122 | − | 0.786083i | \(-0.712106\pi\) |
0.938619 | + | 0.344956i | \(0.112106\pi\) | |||||||
\(314\) | 25.6352 | − | 15.2526i | 1.44668 | − | 0.860752i | ||||
\(315\) | 15.7680 | + | 10.2632i | 0.888426 | + | 0.578265i | ||||
\(316\) | 7.26461 | − | 6.89482i | 0.408666 | − | 0.387864i | ||||
\(317\) | −5.41442 | − | 16.6639i | −0.304104 | − | 0.935936i | −0.980010 | − | 0.198948i | \(-0.936247\pi\) |
0.675906 | − | 0.736988i | \(-0.263753\pi\) | |||||||
\(318\) | 4.41084 | + | 1.68392i | 0.247348 | + | 0.0944293i | ||||
\(319\) | −6.61824 | + | 2.15040i | −0.370550 | + | 0.120399i | ||||
\(320\) | 13.9516 | − | 11.1961i | 0.779919 | − | 0.625881i | ||||
\(321\) | −9.42203 | + | 14.1560i | −0.525887 | + | 0.790109i | ||||
\(322\) | 3.29532 | − | 7.67080i | 0.183641 | − | 0.427477i | ||||
\(323\) | 4.91184 | + | 6.76057i | 0.273302 | + | 0.376168i | ||||
\(324\) | −5.23718 | − | 17.2213i | −0.290955 | − | 0.956737i | ||||
\(325\) | −9.18966 | − | 14.4417i | −0.509751 | − | 0.801081i | ||||
\(326\) | −0.673790 | + | 7.33561i | −0.0373178 | + | 0.406282i | ||||
\(327\) | −1.32975 | − | 3.58463i | −0.0735354 | − | 0.198231i | ||||
\(328\) | −10.1958 | + | 15.2626i | −0.562970 | + | 0.842735i | ||||
\(329\) | 2.80389 | + | 0.911040i | 0.154584 | + | 0.0502273i | ||||
\(330\) | 9.37190 | + | 3.91273i | 0.515906 | + | 0.215389i | ||||
\(331\) | −24.1449 | + | 7.84515i | −1.32712 | + | 0.431208i | −0.884935 | − | 0.465714i | \(-0.845798\pi\) |
−0.442188 | + | 0.896922i | \(0.645798\pi\) | |||||||
\(332\) | −2.23958 | + | 12.0884i | −0.122913 | + | 0.663436i | ||||
\(333\) | 24.7092 | + | 5.83847i | 1.35405 | + | 0.319946i | ||||
\(334\) | −5.60884 | − | 4.91848i | −0.306902 | − | 0.269127i | ||||
\(335\) | 2.64698 | + | 2.05063i | 0.144620 | + | 0.112038i | ||||
\(336\) | −0.216778 | + | 19.4297i | −0.0118262 | + | 1.05998i | ||||
\(337\) | 6.24918 | − | 8.60126i | 0.340415 | − | 0.468540i | −0.604148 | − | 0.796872i | \(-0.706486\pi\) |
0.944562 | + | 0.328332i | \(0.106486\pi\) | |||||||
\(338\) | 1.19304 | − | 1.36050i | 0.0648930 | − | 0.0740015i | ||||
\(339\) | 9.38042 | + | 25.2870i | 0.509475 | + | 1.37340i | ||||
\(340\) | 4.57556 | − | 2.01224i | 0.248145 | − | 0.109129i | ||||
\(341\) | 9.78520 | − | 13.4682i | 0.529898 | − | 0.729343i | ||||
\(342\) | −10.0873 | + | 30.0738i | −0.545460 | + | 1.62620i | ||||
\(343\) | −17.2039 | −0.928925 | ||||||||
\(344\) | −22.2648 | + | 0.877122i | −1.20044 | + | 0.0472913i | ||||
\(345\) | −4.85914 | − | 6.54578i | −0.261607 | − | 0.352413i | ||||
\(346\) | −21.0992 | − | 9.06407i | −1.13430 | − | 0.487287i | ||||
\(347\) | −30.8425 | − | 10.0213i | −1.65571 | − | 0.537974i | −0.675746 | − | 0.737135i | \(-0.736178\pi\) |
−0.979967 | + | 0.199161i | \(0.936178\pi\) | |||||||
\(348\) | −12.8089 | + | 2.22555i | −0.686628 | + | 0.119302i | ||||
\(349\) | −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 | 0.714935 | + | 0.699191i | \(0.246456\pi\) |
−0.989369 | + | 0.145430i | \(0.953544\pi\) | |||||||
\(354\) | −13.1436 | + | 16.2918i | −0.698575 | + | 0.865901i | ||||
\(355\) | −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 | \(-0.376963\pi\) |
−0.764397 | + | 0.644746i | \(0.776963\pi\) | |||||||
\(360\) | 16.2970 | + | 9.71634i | 0.858928 | + | 0.512096i | ||||
\(361\) | 29.8520 | − | 21.6888i | 1.57116 | − | 1.14151i | ||||
\(362\) | −11.0261 | + | 12.5737i | −0.579517 | + | 0.660859i | ||||
\(363\) | 10.2713 | − | 8.12712i | 0.539101 | − | 0.426563i | ||||
\(364\) | 8.26843 | + | 17.3320i | 0.433384 | + | 0.908445i | ||||
\(365\) | 26.6873 | + | 9.58965i | 1.39687 | + | 0.501945i | ||||
\(366\) | −1.20755 | − | 1.85204i | −0.0631196 | − | 0.0968076i | ||||
\(367\) | 3.80297 | + | 11.7043i | 0.198513 | + | 0.610961i | 0.999918 | + | 0.0128379i | \(0.00408653\pi\) |
−0.801404 | + | 0.598123i | \(0.795913\pi\) | |||||||
\(368\) | 3.01621 | − | 7.86076i | 0.157231 | − | 0.409771i | ||||
\(369\) | −18.9465 | − | 4.47683i | −0.986318 | − | 0.233055i | ||||
\(370\) | −23.4104 | + | 12.9696i | −1.21705 | + | 0.674257i | ||||
\(371\) | 1.67050 | − | 5.14126i | 0.0867278 | − | 0.266921i | ||||
\(372\) | 21.6610 | − | 22.3187i | 1.12307 | − | 1.15717i | ||||
\(373\) | −0.909305 | − | 1.25155i | −0.0470820 | − | 0.0648029i | 0.784827 | − | 0.619715i | \(-0.212752\pi\) |
−0.831909 | + | 0.554912i | \(0.812752\pi\) | |||||||
\(374\) | −0.268077 | + | 2.91857i | −0.0138619 | + | 0.150916i | ||||
\(375\) | −6.92164 | + | 18.0857i | −0.357432 | + | 0.933939i | ||||
\(376\) | 2.86168 | + | 0.806753i | 0.147580 | + | 0.0416051i | ||||
\(377\) | −10.3946 | + | 7.55215i | −0.535351 | + | 0.388955i | ||||
\(378\) | −19.3899 | + | 6.98475i | −0.997309 | + | 0.359257i | ||||
\(379\) | 6.13362 | + | 1.99293i | 0.315063 | + | 0.102370i | 0.462280 | − | 0.886734i | \(-0.347032\pi\) |
−0.147217 | + | 0.989104i | \(0.547032\pi\) | |||||||
\(380\) | −13.4604 | − | 30.6072i | −0.690504 | − | 1.57012i | ||||
\(381\) | 4.19371 | − | 0.172306i | 0.214850 | − | 0.00882752i | ||||
\(382\) | 2.62200 | − | 28.5459i | 0.134153 | − | 1.46054i | ||||
\(383\) | 13.7803 | − | 4.47749i | 0.704140 | − | 0.228789i | 0.0650064 | − | 0.997885i | \(-0.479293\pi\) |
0.639133 | + | 0.769096i | \(0.279293\pi\) | |||||||
\(384\) | 0.552885 | + | 19.5881i | 0.0282143 | + | 0.999602i | ||||
\(385\) | 3.93227 | − | 10.9432i | 0.200407 | − | 0.557717i | ||||
\(386\) | −9.51659 | + | 5.66223i | −0.484382 | + | 0.288200i | ||||
\(387\) | −9.12252 | − | 21.8021i | −0.463724 | − | 1.10827i | ||||
\(388\) | 25.5881 | − | 24.2856i | 1.29904 | − | 1.23291i | ||||
\(389\) | −12.9514 | − | 17.8261i | −0.656663 | − | 0.903819i | 0.342702 | − | 0.939444i | \(-0.388658\pi\) |
−0.999365 | + | 0.0356248i | \(0.988658\pi\) | |||||||
\(390\) | 18.6894 | + | 1.52352i | 0.946374 | + | 0.0771466i | ||||
\(391\) | 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 | ||||
\(396\) | −9.61430 | + | 5.59780i | −0.483137 | + | 0.281300i | ||||
\(397\) | −17.5994 | − | 5.71840i | −0.883290 | − | 0.286998i | −0.167967 | − | 0.985793i | \(-0.553720\pi\) |
−0.715323 | + | 0.698794i | \(0.753720\pi\) | |||||||
\(398\) | −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 | \(0.858183\pi\) | |||||||
\(402\) | −3.54123 | + | 0.955814i | −0.176620 | + | 0.0476717i | ||||
\(403\) | 9.49838 | − | 29.2330i | 0.473148 | − | 1.45620i | ||||
\(404\) | −11.9852 | − | 6.50633i | −0.596284 | − | 0.323702i | ||||
\(405\) | −3.61698 | + | 19.7969i | −0.179729 | + | 0.983716i | ||||
\(406\) | 3.28572 | + | 14.5185i | 0.163068 | + | 0.720539i | ||||
\(407\) | − | 15.6925i | − | 0.777846i | ||||||
\(408\) | −1.26813 | + | 5.32669i | −0.0627820 | + | 0.263711i | ||||
\(409\) | −5.74671 | − | 4.17523i | −0.284156 | − | 0.206452i | 0.436572 | − | 0.899669i | \(-0.356192\pi\) |
−0.720728 | + | 0.693218i | \(0.756192\pi\) | |||||||
\(410\) | 17.9507 | − | 9.94484i | 0.886520 | − | 0.491141i | ||||
\(411\) | −1.94912 | − | 5.25428i | −0.0961430 | − | 0.259174i | ||||
\(412\) | −18.6324 | − | 19.6317i | −0.917950 | − | 0.967183i | ||||
\(413\) | 19.3901 | + | 14.0877i | 0.954125 | + | 0.693212i | ||||
\(414\) | 8.92990 | + | 0.0845458i | 0.438881 | + | 0.00415520i | ||||
\(415\) | 8.41792 | − | 10.8660i | 0.413220 | − | 0.533390i | ||||
\(416\) | 9.02024 | + | 17.1374i | 0.442254 | + | 0.840231i | ||||
\(417\) | −0.501344 | − | 12.2021i | −0.0245509 | − | 0.597538i | ||||
\(418\) | 19.5232 | + | 1.79324i | 0.954909 | + | 0.0877102i | ||||
\(419\) | −0.662387 | − | 2.03862i | −0.0323597 | − | 0.0995929i | 0.933572 | − | 0.358390i | \(-0.116674\pi\) |
−0.965932 | + | 0.258797i | \(0.916674\pi\) | |||||||
\(420\) | 10.1683 | − | 19.1978i | 0.496162 | − | 0.936758i | ||||
\(421\) | −4.44421 | + | 13.6779i | −0.216597 | + | 0.666618i | 0.782439 | + | 0.622727i | \(0.213975\pi\) |
−0.999036 | + | 0.0438909i | \(0.986025\pi\) | |||||||
\(422\) | 4.75202 | − | 11.0617i | 0.231325 | − | 0.538474i | ||||
\(423\) | 0.258704 | + | 3.14295i | 0.0125786 | + | 0.152815i | ||||
\(424\) | 1.47927 | − | 5.24721i | 0.0718399 | − | 0.254827i | ||||
\(425\) | −5.57787 | − | 0.344111i | −0.270566 | − | 0.0166918i | ||||
\(426\) | 8.22020 | + | 3.13820i | 0.398270 | + | 0.152047i | ||||
\(427\) | −2.04800 | + | 1.48796i | −0.0991097 | + | 0.0720074i | ||||
\(428\) | 17.2567 | + | 9.36807i | 0.834135 | + | 0.452823i | ||||
\(429\) | −6.09202 | + | 9.15285i | −0.294125 | + | 0.441904i | ||||
\(430\) | 22.5757 | + | 10.5335i | 1.08870 | + | 0.507970i | ||||
\(431\) | −5.45008 | − | 16.7736i | −0.262521 | − | 0.807957i | −0.992254 | − | 0.124225i | \(-0.960356\pi\) |
0.729733 | − | 0.683732i | \(-0.239644\pi\) | |||||||
\(432\) | −19.2621 | + | 7.80836i | −0.926750 | + | 0.375680i | ||||
\(433\) | −2.32032 | + | 0.753918i | −0.111508 | + | 0.0362310i | −0.364239 | − | 0.931305i | \(-0.618671\pi\) |
0.252732 | + | 0.967536i | \(0.418671\pi\) | |||||||
\(434\) | −26.7744 | − | 23.4789i | −1.28521 | − | 1.12702i | ||||
\(435\) | 13.8693 | + | 4.34964i | 0.664980 | + | 0.208549i | ||||
\(436\) | −3.98460 | + | 1.90090i | −0.190828 | + | 0.0910365i | ||||
\(437\) | −12.7318 | − | 9.25020i | −0.609045 | − | 0.442497i | ||||
\(438\) | −26.0219 | + | 16.9666i | −1.24338 | + | 0.810694i | ||||
\(439\) | −19.5188 | − | 26.8653i | −0.931579 | − | 1.28221i | −0.959240 | − | 0.282592i | \(-0.908806\pi\) |
0.0276608 | − | 0.999617i | \(-0.491194\pi\) | |||||||
\(440\) | 3.52816 | − | 11.1837i | 0.168198 | − | 0.533161i | ||||
\(441\) | 1.00263 | + | 2.39622i | 0.0477444 | + | 0.114106i | ||||
\(442\) | 1.19447 | + | 5.27794i | 0.0568152 | + | 0.251046i | ||||
\(443\) | − | 25.0316i | − | 1.18929i | −0.803990 | − | 0.594643i | \(-0.797293\pi\) | ||
0.803990 | − | 0.594643i | \(-0.202707\pi\) | |||||||
\(444\) | 4.15275 | − | 29.0218i | 0.197081 | − | 1.37731i | ||||
\(445\) | 35.6596 | + | 12.8137i | 1.69043 | + | 0.607429i | ||||
\(446\) | 2.64092 | + | 1.13452i | 0.125051 | + | 0.0537210i | ||||
\(447\) | 19.2969 | − | 28.9924i | 0.912714 | − | 1.37129i | ||||
\(448\) | 22.3674 | − | 1.76506i | 1.05676 | − | 0.0833913i | ||||
\(449\) | − | 32.0071i | − | 1.51051i | −0.655433 | − | 0.755253i | \(-0.727514\pi\) | ||
0.655433 | − | 0.755253i | \(-0.272486\pi\) | |||||||
\(450\) | −11.2185 | − | 18.0041i | −0.528843 | − | 0.848720i | ||||
\(451\) | 12.0327i | 0.566598i | ||||||||
\(452\) | 28.1084 | − | 13.4094i | 1.32211 | − | 0.630727i | ||||
\(453\) | 7.62735 | − | 11.4596i | 0.358364 | − | 0.538418i | ||||
\(454\) | 14.4244 | − | 33.5769i | 0.676969 | − | 1.57584i | ||||
\(455\) | 0.661319 | − | 21.4597i | 0.0310031 | − | 1.00605i | ||||
\(456\) | 35.6317 | + | 8.48291i | 1.66861 | + | 0.397249i | ||||
\(457\) | 27.8514i | 1.30283i | 0.758721 | + | 0.651416i | \(0.225825\pi\) | ||||
−0.758721 | + | 0.651416i | \(0.774175\pi\) | |||||||
\(458\) | 3.99325 | − | 0.903728i | 0.186593 | − | 0.0422284i | ||||
\(459\) | −5.76370 | + | 0.713651i | −0.269026 | + | 0.0333104i | ||||
\(460\) | −7.02412 | + | 6.26682i | −0.327501 | + | 0.292192i | ||||
\(461\) | 2.72769 | + | 3.75434i | 0.127041 | + | 0.174857i | 0.867800 | − | 0.496914i | \(-0.165534\pi\) |
−0.740758 | + | 0.671771i | \(0.765534\pi\) | |||||||
\(462\) | 6.95720 | + | 10.6704i | 0.323678 | + | 0.496431i | ||||
\(463\) | −12.0343 | − | 8.74343i | −0.559281 | − | 0.406341i | 0.271915 | − | 0.962321i | \(-0.412343\pi\) |
−0.831196 | + | 0.555980i | \(0.812343\pi\) | |||||||
\(464\) | 3.88742 | + | 14.5000i | 0.180469 | + | 0.673143i | ||||
\(465\) | −32.9590 | + | 11.0840i | −1.52844 | + | 0.514009i | ||||
\(466\) | −17.3045 | + | 19.7334i | −0.801617 | + | 0.914133i | ||||
\(467\) | 6.19271 | − | 2.01213i | 0.286564 | − | 0.0931104i | −0.162208 | − | 0.986757i | \(-0.551861\pi\) |
0.448772 | + | 0.893646i | \(0.351861\pi\) | |||||||
\(468\) | −13.6888 | + | 15.3152i | −0.632763 | + | 0.707945i | ||||
\(469\) | 1.29779 | + | 3.99418i | 0.0599262 | + | 0.184434i | ||||
\(470\) | −2.43062 | − | 2.26763i | −0.112116 | − | 0.104598i | ||||
\(471\) | 20.2425 | − | 30.4130i | 0.932725 | − | 1.40136i | ||||
\(472\) | 20.0989 | + | 13.4266i | 0.925126 | + | 0.618009i | ||||
\(473\) | −11.8175 | + | 8.58592i | −0.543369 | + | 0.394781i | ||||
\(474\) | 4.37501 | − | 11.4599i | 0.200951 | − | 0.526370i | ||||
\(475\) | −2.30185 | + | 37.3119i | −0.105616 | + | 1.71199i | ||||
\(476\) | 6.16450 | + | 1.14208i | 0.282549 | + | 0.0523470i | ||||
\(477\) | 5.76296 | − | 0.474364i | 0.263868 | − | 0.0217196i | ||||
\(478\) | 12.2012 | + | 5.24155i | 0.558071 | + | 0.239743i | ||||
\(479\) | −5.73304 | + | 17.6445i | −0.261949 | + | 0.806197i | 0.730431 | + | 0.682986i | \(0.239319\pi\) |
−0.992381 | + | 0.123211i | \(0.960681\pi\) | |||||||
\(480\) | 9.48457 | − | 19.7495i | 0.432909 | − | 0.901437i | ||||
\(481\) | −8.95343 | − | 27.5558i | −0.408241 | − | 1.25644i | ||||
\(482\) | 2.70478 | − | 29.4471i | 0.123199 | − | 1.34128i | ||||
\(483\) | −0.419758 | − | 10.2164i | −0.0190997 | − | 0.464861i | ||||
\(484\) | −10.4114 | − | 10.9697i | −0.473243 | − | 0.498625i | ||||
\(485\) | −37.8692 | + | 11.0270i | −1.71955 | + | 0.500712i | ||||
\(486\) | −14.8982 | − | 16.2494i | −0.675795 | − | 0.737090i | ||||
\(487\) | 15.6066 | + | 11.3389i | 0.707203 | + | 0.513813i | 0.882270 | − | 0.470744i | \(-0.156014\pi\) |
−0.175067 | + | 0.984556i | \(0.556014\pi\) | |||||||
\(488\) | −2.00472 | + | 1.58073i | −0.0907494 | + | 0.0715565i | ||||
\(489\) | 3.13787 | + | 8.45882i | 0.141899 | + | 0.382521i | ||||
\(490\) | −2.48123 | − | 1.15771i | −0.112091 | − | 0.0523000i | ||||
\(491\) | −4.69454 | − | 3.41078i | −0.211862 | − | 0.153926i | 0.476794 | − | 0.879015i | \(-0.341799\pi\) |
−0.688656 | + | 0.725089i | \(0.741799\pi\) | |||||||
\(492\) | −3.18425 | + | 22.2534i | −0.143557 | + | 1.00326i | ||||
\(493\) | 4.19471i | 0.188920i | ||||||||
\(494\) | 35.3056 | − | 7.99015i | 1.58848 | − | 0.359494i | ||||
\(495\) | 12.4220 | − | 0.638062i | 0.558327 | − | 0.0286787i | ||||
\(496\) | −27.9130 | − | 22.5970i | −1.25333 | − | 1.01464i | ||||
\(497\) | 3.11319 | − | 9.58142i | 0.139646 | − | 0.429786i | ||||
\(498\) | 3.92366 | + | 14.5369i | 0.175823 | + | 0.651415i | ||||
\(499\) | − | 20.7222i | − | 0.927654i | −0.885926 | − | 0.463827i | \(-0.846476\pi\) | ||
0.885926 | − | 0.463827i | \(-0.153524\pi\) | |||||||
\(500\) | 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 | \(-0.692338\pi\) |
−0.943343 | + | 0.331819i | \(0.892338\pi\) | |||||||
\(504\) | 10.0430 | + | 21.5750i | 0.447349 | + | 0.961026i | ||||
\(505\) | 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 | \(-0.827043\pi\) |
0.756221 | + | 0.654316i | \(0.227043\pi\) | |||||||
\(510\) | 3.98885 | − | 4.64396i | 0.176629 | − | 0.205638i | ||||
\(511\) | 20.9065 | + | 28.7753i | 0.924847 | + | 1.27294i | ||||
\(512\) | 22.4697 | − | 2.66663i | 0.993031 | − | 0.117849i | ||||
\(513\) | 4.77381 | + | 38.5550i | 0.210769 | + | 1.70224i | ||||
\(514\) | −8.34125 | − | 14.0193i | −0.367917 | − | 0.618363i | ||||
\(515\) | 8.46015 | + | 29.0540i | 0.372799 | + | 1.28027i | ||||
\(516\) | −24.1275 | + | 12.7516i | −1.06215 | + | 0.561356i | ||||
\(517\) | 1.85373 | − | 0.602312i | 0.0815268 | − | 0.0264897i | ||||
\(518\) | −33.4270 | − | 3.07033i | −1.46870 | − | 0.134903i | ||||
\(519\) | −28.1010 | + | 1.15458i | −1.23350 | + | 0.0506806i | ||||
\(520\) | −0.185505 | − | 21.6514i | −0.00813494 | − | 0.949479i | ||||
\(521\) | 27.7287 | + | 9.00962i | 1.21482 | + | 0.394718i | 0.845192 | − | 0.534462i | \(-0.179486\pi\) |
0.369626 | + | 0.929181i | \(0.379486\pi\) | |||||||
\(522\) | −12.9697 | + | 9.23672i | −0.567669 | + | 0.404280i | ||||
\(523\) | −5.18001 | + | 3.76350i | −0.226506 | + | 0.164566i | −0.695250 | − | 0.718768i | \(-0.744707\pi\) |
0.468744 | + | 0.883334i | \(0.344707\pi\) | |||||||
\(524\) | 8.14413 | + | 1.50884i | 0.355778 | + | 0.0659139i | ||||
\(525\) | −19.9391 | + | 13.8697i | −0.870215 | + | 0.605324i | ||||
\(526\) | 25.4242 | + | 2.33526i | 1.10855 | + | 0.101822i | ||||
\(527\) | −5.89843 | − | 8.11849i | −0.256940 | − | 0.353647i | ||||
\(528\) | 7.43444 | + | 10.4765i | 0.323542 | + | 0.455929i | ||||
\(529\) | 5.73827 | − | 17.6606i | 0.249490 | − | 0.767851i | ||||
\(530\) | −4.15796 | + | 4.45682i | −0.180610 | + | 0.193592i | ||||
\(531\) | −5.89542 | + | 24.9502i | −0.255839 | + | 1.08275i | ||||
\(532\) | 7.63967 | − | 41.2360i | 0.331222 | − | 1.78781i | ||||
\(533\) | 6.86533 | + | 21.1293i | 0.297370 | + | 0.915212i | ||||
\(534\) | −34.7706 | + | 22.6708i | −1.50467 | + | 0.981062i | ||||
\(535\) | −12.3506 | − | 18.1496i | −0.533963 | − | 0.784674i | ||||
\(536\) | 1.46636 | + | 3.97345i | 0.0633369 | + | 0.171627i | ||||
\(537\) | −13.0831 | + | 10.3520i | −0.564575 | + | 0.446720i | ||||
\(538\) | 7.63504 | + | 6.69528i | 0.329170 | + | 0.288654i | ||||
\(539\) | 1.29883 | − | 0.943656i | 0.0559446 | − | 0.0406461i | ||||
\(540\) | 23.1422 | + | 2.10723i | 0.995880 | + | 0.0906809i | ||||
\(541\) | 18.7149 | + | 13.5972i | 0.804617 | + | 0.584589i | 0.912265 | − | 0.409600i | \(-0.134332\pi\) |
−0.107648 | + | 0.994189i | \(0.534332\pi\) | |||||||
\(542\) | −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 | ||||
\(546\) | 18.3048 | + | 14.7676i | 0.783374 | + | 0.631995i | ||||
\(547\) | −1.11144 | + | 3.42065i | −0.0475216 | + | 0.146256i | −0.972002 | − | 0.234974i | \(-0.924500\pi\) |
0.924480 | + | 0.381230i | \(0.124500\pi\) | |||||||
\(548\) | −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 | ||||||||
\(552\) | −0.828571 | − | 10.2785i | −0.0352663 | − | 0.437481i | ||||
\(553\) | −13.3576 | − | 4.34014i | −0.568022 | − | 0.184561i | ||||
\(554\) | 1.87056 | − | 4.35427i | 0.0794726 | − | 0.184995i | ||||
\(555\) | −18.9933 | + | 26.7140i | −0.806221 | + | 1.13395i | ||||
\(556\) | −13.9809 | + | 1.84161i | −0.592921 | + | 0.0781016i | ||||
\(557\) | −28.3445 | −1.20100 | −0.600498 | − | 0.799626i | \(-0.705031\pi\) | ||||
−0.600498 | + | 0.799626i | \(0.705031\pi\) | |||||||
\(558\) | 12.1134 | − | 36.1143i | 0.512803 | − | 1.52884i | ||||
\(559\) | −15.8527 | + | 21.8193i | −0.670497 | + | 0.922860i | ||||
\(560\) | −23.1324 | − | 9.70359i | −0.977522 | − | 0.410052i | ||||
\(561\) | 1.24845 | + | 3.36546i | 0.0527094 | + | 0.142090i | ||||
\(562\) | 13.7959 | + | 12.0978i | 0.581946 | + | 0.510317i | ||||
\(563\) | −18.1788 | + | 25.0210i | −0.766146 | + | 1.05451i | 0.230532 | + | 0.973065i | \(0.425953\pi\) |
−0.996678 | + | 0.0814444i | \(0.974047\pi\) | |||||||
\(564\) | 3.58769 | − | 0.623363i | 0.151069 | − | 0.0262483i | ||||
\(565\) | −34.8026 | − | 1.07250i | −1.46416 | − | 0.0451206i | ||||
\(566\) | 0.237071 | − | 0.270346i | 0.00996482 | − | 0.0113635i | ||||
\(567\) | −17.7199 | + | 17.9760i | −0.744166 | + | 0.754923i | ||||
\(568\) | 2.75683 | − | 9.77889i | 0.115674 | − | 0.410313i | ||||
\(569\) | 33.1483 | − | 10.7705i | 1.38965 | − | 0.451524i | 0.483819 | − | 0.875168i | \(-0.339249\pi\) |
0.905829 | + | 0.423644i | \(0.139249\pi\) | |||||||
\(570\) | −31.0647 | − | 26.6825i | −1.30116 | − | 1.11761i | ||||
\(571\) | 18.3366 | + | 5.95791i | 0.767361 | + | 0.249331i | 0.666435 | − | 0.745563i | \(-0.267819\pi\) |
0.100926 | + | 0.994894i | \(0.467819\pi\) | |||||||
\(572\) | 11.1577 | + | 6.05713i | 0.466527 | + | 0.253261i | ||||
\(573\) | −12.2108 | − | 32.9168i | −0.510112 | − | 1.37512i | ||||
\(574\) | 25.6312 | + | 2.35428i | 1.06983 | + | 0.0982656i | ||||
\(575\) | 10.1906 | − | 2.62974i | 0.424978 | − | 0.109668i | ||||
\(576\) | 10.9769 | + | 21.3426i | 0.457370 | + | 0.889276i | ||||
\(577\) | −19.8382 | − | 27.3049i | −0.825874 | − | 1.13672i | −0.988677 | − | 0.150059i | \(-0.952054\pi\) |
0.162803 | − | 0.986659i | \(-0.447946\pi\) | |||||||
\(578\) | −20.4663 | − | 8.79218i | −0.851287 | − | 0.365706i | ||||
\(579\) | −7.51464 | + | 11.2902i | −0.312298 | + | 0.469207i | ||||
\(580\) | 3.56436 | − | 16.4011i | 0.148002 | − | 0.681019i | ||||
\(581\) | 16.3963 | − | 5.32747i | 0.680232 | − | 0.221021i | ||||
\(582\) | 15.4101 | − | 40.3650i | 0.638767 | − | 1.67318i | ||||
\(583\) | −1.10441 | − | 3.39902i | −0.0457399 | − | 0.140773i | ||||
\(584\) | 22.2100 | + | 28.1672i | 0.919056 | + | 1.16557i | ||||
\(585\) | 21.4488 | − | 8.20787i | 0.886800 | − | 0.339354i | ||||
\(586\) | −7.50951 | − | 12.6213i | −0.310215 | − | 0.521383i | ||||
\(587\) | −11.2432 | + | 15.4749i | −0.464057 | + | 0.638719i | −0.975344 | − | 0.220691i | \(-0.929169\pi\) |
0.511287 | + | 0.859410i | \(0.329169\pi\) | |||||||
\(588\) | 2.65179 | − | 1.40149i | 0.109358 | − | 0.0577965i | ||||
\(589\) | −54.3068 | + | 39.4562i | −2.23767 | + | 1.62577i | ||||
\(590\) | −13.0961 | − | 23.6387i | −0.539158 | − | 0.973191i | ||||
\(591\) | 20.1979 | − | 15.9816i | 0.830831 | − | 0.657394i | ||||
\(592\) | −33.8066 | − | 1.76700i | −1.38944 | − | 0.0726232i | ||||
\(593\) | 8.54639 | 0.350958 | 0.175479 | − | 0.984483i | \(-0.443853\pi\) | ||||
0.175479 | + | 0.984483i | \(0.443853\pi\) | |||||||
\(594\) | −7.65666 | + | 11.2708i | −0.314156 | + | 0.462447i | ||||
\(595\) | −5.54113 | − | 4.29274i | −0.227164 | − | 0.175985i | ||||
\(596\) | −35.3429 | − | 19.1864i | −1.44770 | − | 0.785907i | ||||
\(597\) | −13.9685 | + | 20.9867i | −0.571691 | + | 0.858928i | ||||
\(598\) | −5.21090 | − | 8.75804i | −0.213090 | − | 0.358143i | ||||
\(599\) | −34.9700 | −1.42884 | −0.714419 | − | 0.699719i | \(-0.753309\pi\) | ||||
−0.714419 | + | 0.699719i | \(0.753309\pi\) | |||||||
\(600\) | −19.5423 | + | 14.7682i | −0.797810 | + | 0.602909i | ||||
\(601\) | −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 | ||||
\(603\) | −3.40549 | + | 2.92976i | −0.138682 | + | 0.119309i | ||||
\(604\) | −13.9697 | − | 7.58366i | −0.568419 | − | 0.308575i | ||||
\(605\) | 4.72735 | + | 16.2347i | 0.192194 | + | 0.660036i | ||||
\(606\) | −16.6809 | − | 0.843624i | −0.677616 | − | 0.0342699i | ||||
\(607\) | 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 | ||||
\(609\) | 11.3124 | + | 14.2969i | 0.458402 | + | 0.579340i | ||||
\(610\) | 2.80198 | − | 0.543985i | 0.113449 | − | 0.0220253i | ||||
\(611\) | 2.91147 | − | 2.11531i | 0.117786 | − | 0.0855763i | ||||
\(612\) | 1.41827 | + | 6.55448i | 0.0573303 | + | 0.264949i | ||||
\(613\) | 13.7296 | − | 18.8972i | 0.554535 | − | 0.763252i | −0.436084 | − | 0.899906i | \(-0.643635\pi\) |
0.990619 | + | 0.136654i | \(0.0436349\pi\) | |||||||
\(614\) | 12.3320 | + | 20.7265i | 0.497678 | + | 0.836455i | ||||
\(615\) | 14.5637 | − | 20.4838i | 0.587266 | − | 0.825987i | ||||
\(616\) | 11.5500 | − | 9.10728i | 0.465364 | − | 0.366943i | ||||
\(617\) | 2.44863 | + | 7.53611i | 0.0985782 | + | 0.303392i | 0.988170 | − | 0.153365i | \(-0.0490109\pi\) |
−0.889591 | + | 0.456757i | \(0.849011\pi\) | |||||||
\(618\) | −30.9688 | − | 11.8229i | −1.24575 | − | 0.475587i | ||||
\(619\) | 17.1069 | − | 5.55838i | 0.687586 | − | 0.223410i | 0.0556723 | − | 0.998449i | \(-0.482270\pi\) |
0.631913 | + | 0.775039i | \(0.282270\pi\) | |||||||
\(620\) | 16.1640 | + | 36.7549i | 0.649163 | + | 1.47611i | ||||
\(621\) | 9.90788 | − | 4.63241i | 0.397590 | − | 0.185892i | ||||
\(622\) | 31.8939 | + | 13.7014i | 1.27883 | + | 0.549375i | ||||
\(623\) | 27.9353 | + | 38.4497i | 1.11920 | + | 1.54045i | ||||
\(624\) | 19.0322 | + | 14.1548i | 0.761898 | + | 0.566645i | ||||
\(625\) | −18.2658 | − | 17.0692i | −0.730634 | − | 0.682770i | ||||
\(626\) | −13.5853 | − | 1.24783i | −0.542977 | − | 0.0498735i | ||||
\(627\) | 22.5125 | − | 8.35120i | 0.899062 | − | 0.333515i | ||||
\(628\) | −37.0747 | − | 20.1266i | −1.47944 | − | 0.803137i | ||||
\(629\) | −8.99630 | − | 2.92307i | −0.358706 | − | 0.116551i | ||||
\(630\) | 1.07129 | − | 26.5853i | 0.0426811 | − | 1.05918i | ||||
\(631\) | 36.7577 | − | 11.9433i | 1.46330 | − | 0.475455i | 0.534224 | − | 0.845343i | \(-0.320604\pi\) |
0.929076 | + | 0.369888i | \(0.120604\pi\) | |||||||
\(632\) | −13.6329 | − | 3.84332i | −0.542286 | − | 0.152879i | ||||
\(633\) | −0.605313 | − | 14.7325i | −0.0240590 | − | 0.585565i | ||||
\(634\) | −16.3373 | + | 18.6304i | −0.648837 | + | 0.739909i | ||||
\(635\) | −1.83239 | + | 5.09940i | −0.0727161 | + | 0.202363i | ||||
\(636\) | −1.14301 | − | 6.57843i | −0.0453232 | − | 0.260852i | ||||
\(637\) | 1.74233 | − | 2.39811i | 0.0690335 | − | 0.0950165i | ||||
\(638\) | 7.39928 | + | 6.48854i | 0.292940 | + | 0.256884i | ||||
\(639\) | 10.7400 | − | 0.884041i | 0.424870 | − | 0.0349721i | ||||
\(640\) | −23.6960 | − | 8.86009i | −0.936665 | − | 0.350226i | ||||
\(641\) | 22.8319 | − | 31.4254i | 0.901806 | − | 1.24123i | −0.0680821 | − | 0.997680i | \(-0.521688\pi\) |
0.969888 | − | 0.243550i | \(-0.0783120\pi\) | |||||||
\(642\) | 24.0178 | + | 1.21468i | 0.947909 | + | 0.0479397i | ||||
\(643\) | 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 | ||||
\(645\) | 30.5094 | − | 0.312937i | 1.20131 | − | 0.0123219i | ||||
\(646\) | 4.66467 | − | 10.8584i | 0.183529 | − | 0.427216i | ||||
\(647\) | 17.8336 | + | 5.79448i | 0.701110 | + | 0.227804i | 0.637814 | − | 0.770190i | \(-0.279839\pi\) |
0.0632959 | + | 0.997995i | \(0.479839\pi\) | |||||||
\(648\) | −17.1429 | + | 18.8181i | −0.673437 | + | 0.739245i | ||||
\(649\) | 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 | \(-0.927628\pi\) |
0.920688 | + | 0.390299i | \(0.127628\pi\) | |||||||
\(654\) | −3.39505 | + | 4.20825i | −0.132757 | + | 0.164555i | ||||
\(655\) | −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 | \(-0.226892\pi\) |
−0.388168 | + | 0.921589i | \(0.626892\pi\) | |||||||
\(660\) | −2.02164 | − | 14.2196i | −0.0786921 | − | 0.553497i | ||||
\(661\) | −2.32708 | + | 1.69072i | −0.0905129 | + | 0.0657615i | −0.632121 | − | 0.774869i | \(-0.717816\pi\) |
0.541608 | + | 0.840631i | \(0.317816\pi\) | |||||||
\(662\) | 26.9943 | + | 23.6717i | 1.04916 | + | 0.920028i | ||||
\(663\) | 4.11244 | + | 5.19740i | 0.159714 | + | 0.201850i | ||||
\(664\) | 16.3112 | − | 6.01946i | 0.632998 | − | 0.233600i | ||||
\(665\) | −28.7153 | + | 37.0662i | −1.11353 | + | 1.43736i | ||||
\(666\) | −10.7719 | − | 34.2524i | −0.417401 | − | 1.32725i | ||||
\(667\) | −2.44113 | − | 7.51303i | −0.0945210 | − | 0.290906i | ||||
\(668\) | −1.92185 | + | 10.3734i | −0.0743586 | + | 0.401359i | ||||
\(669\) | 3.51731 | − | 0.144515i | 0.135987 | − | 0.00558728i | ||||
\(670\) | 0.578165 | − | 4.69988i | 0.0223364 | − | 0.181572i | ||||
\(671\) | −0.517177 | + | 1.59171i | −0.0199654 | + | 0.0614471i | ||||
\(672\) | 23.7708 | − | 13.7865i | 0.916979 | − | 0.531828i | ||||
\(673\) | 17.4636 | + | 24.0366i | 0.673172 | + | 0.926542i | 0.999827 | − | 0.0186014i | \(-0.00592136\pi\) |
−0.326655 | + | 0.945144i | \(0.605921\pi\) | |||||||
\(674\) | −14.9725 | − | 1.37525i | −0.576720 | − | 0.0529728i | ||||
\(675\) | −21.9188 | − | 13.9487i | −0.843655 | − | 0.536886i | ||||
\(676\) | −2.51621 | − | 0.466170i | −0.0967773 | − | 0.0179296i | ||||
\(677\) | −22.0160 | + | 15.9956i | −0.846144 | + | 0.614760i | −0.924080 | − | 0.382199i | \(-0.875167\pi\) |
0.0779360 | + | 0.996958i | \(0.475167\pi\) | |||||||
\(678\) | 23.9496 | − | 29.6861i | 0.919778 | − | 1.14009i | ||||
\(679\) | −47.0493 | − | 15.2872i | −1.80559 | − | 0.586670i | ||||
\(680\) | −5.75427 | − | 4.10586i | −0.220666 | − | 0.157453i | ||||
\(681\) | −1.83738 | − | 44.7194i | −0.0704085 | − | 1.71365i | ||||
\(682\) | −23.4445 | − | 2.15343i | −0.897738 | − | 0.0824589i | ||||
\(683\) | 8.56408 | − | 2.78264i | 0.327695 | − | 0.106475i | −0.140549 | − | 0.990074i | \(-0.544887\pi\) |
0.468244 | + | 0.883599i | \(0.344887\pi\) | |||||||
\(684\) | 43.8447 | − | 9.48722i | 1.67645 | − | 0.362753i | ||||
\(685\) | 7.23149 | + | 0.222851i | 0.276301 | + | 0.00851471i | ||||
\(686\) | 12.4405 | + | 20.9089i | 0.474981 | + | 0.798307i | ||||
\(687\) | 3.93232 | − | 3.11144i | 0.150027 | − | 0.118709i | ||||
\(688\) | 17.1662 | + | 26.4255i | 0.654454 | + | 1.00746i | ||||
\(689\) | −3.87866 | − | 5.33852i | −0.147765 | − | 0.203381i | ||||
\(690\) | −4.44173 | + | 10.6390i | −0.169094 | + | 0.405019i | ||||
\(691\) | −9.28419 | + | 12.7786i | −0.353187 | + | 0.486121i | −0.948235 | − | 0.317570i | \(-0.897133\pi\) |
0.595048 | + | 0.803690i | \(0.297133\pi\) | |||||||
\(692\) | 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 | ||||
\(696\) | 11.9672 | + | 13.9580i | 0.453616 | + | 0.529078i | ||||
\(697\) | 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 | \(-0.260587\pi\) | |||||||
\(702\) | −7.01440 | + | 24.1600i | −0.264741 | + | 0.911860i | ||||
\(703\) | −19.5533 | + | 60.1787i | −0.737465 | + | 2.26968i | ||||
\(704\) | 11.2775 | − | 9.63602i | 0.425039 | − | 0.363171i | ||||
\(705\) | −3.88469 | − | 1.21831i | −0.146306 | − | 0.0458841i | ||||
\(706\) | 23.0150 | − | 5.20861i | 0.866182 | − | 0.196029i | ||||
\(707\) | 19.1237i | 0.719220i | ||||||||
\(708\) | 29.3048 | + | 4.19325i | 1.10134 | + | 0.157592i | ||||
\(709\) | −26.7600 | − | 19.4423i | −1.00499 | − | 0.730171i | −0.0418412 | − | 0.999124i | \(-0.513322\pi\) |
−0.963153 | + | 0.268953i | \(0.913322\pi\) | |||||||
\(710\) | −7.74892 | + | 8.30588i | −0.290812 | + | 0.311714i | ||||
\(711\) | −1.23245 | − | 14.9728i | −0.0462206 | − | 0.561525i | ||||
\(712\) | 29.6771 | + | 37.6371i | 1.11220 | + | 1.41051i | ||||
\(713\) | 15.2891 | + | 11.1082i | 0.572581 | + | 0.416004i | ||||
\(714\) | 7.41313 | − | 2.00088i | 0.277429 | − | 0.0748810i | ||||
\(715\) | −7.98554 | − | 11.7350i | −0.298642 | − | 0.438864i | ||||
\(716\) | 13.2615 | + | 13.9728i | 0.495606 | + | 0.522187i | ||||
\(717\) | 16.2502 | − | 0.667670i | 0.606875 | − | 0.0249346i | ||||
\(718\) | −1.17368 | + | 12.7779i | −0.0438012 | + | 0.476868i | ||||
\(719\) | 11.1272 | + | 34.2459i | 0.414973 | + | 1.27716i | 0.912275 | + | 0.409579i | \(0.134324\pi\) |
−0.497302 | + | 0.867578i | \(0.665676\pi\) | |||||||
\(720\) | 0.0241457 | − | 26.8328i | 0.000899856 | − | 1.00000i | ||||
\(721\) | −11.7287 | + | 36.0971i | −0.436798 | + | 1.34433i | ||||
\(722\) | −47.9463 | − | 20.5974i | −1.78438 | − | 0.766554i | ||||
\(723\) | −12.5963 | − | 33.9560i | −0.468460 | − | 1.26284i | ||||
\(724\) | 23.2547 | + | 4.30833i | 0.864255 | + | 0.160118i | ||||
\(725\) | −11.9437 | + | 14.4733i | −0.443576 | + | 0.537523i | ||||
\(726\) | −17.3047 | − | 6.60638i | −0.642238 | − | 0.245186i | ||||
\(727\) | −7.26585 | + | 5.27895i | −0.269475 | + | 0.195785i | −0.714314 | − | 0.699825i | \(-0.753261\pi\) |
0.444838 | + | 0.895611i | \(0.353261\pi\) | |||||||
\(728\) | 15.0856 | − | 22.5822i | 0.559108 | − | 0.836954i | ||||
\(729\) | −25.0545 | − | 10.0634i | −0.927945 | − | 0.372718i | ||||
\(730\) | −7.64322 | − | 39.3691i | −0.282888 | − | 1.45711i | ||||
\(731\) | 2.72093 | + | 8.37415i | 0.100637 | + | 0.309729i | ||||
\(732\) | −1.37769 | + | 2.80685i | −0.0509208 | + | 0.103744i | ||||
\(733\) | 18.4725 | − | 6.00207i | 0.682296 | − | 0.221692i | 0.0526960 | − | 0.998611i | \(-0.483219\pi\) |
0.629601 | + | 0.776919i | \(0.283219\pi\) | |||||||
\(734\) | 11.4750 | − | 13.0856i | 0.423548 | − | 0.482998i | ||||
\(735\) | −3.35321 | + | 0.0343941i | −0.123685 | + | 0.00126865i | ||||
\(736\) | −11.7347 | + | 2.01850i | −0.432548 | + | 0.0744030i | ||||
\(737\) | 2.24627 | + | 1.63201i | 0.0827426 | + | 0.0601160i | ||||
\(738\) | 8.25967 | + | 26.2641i | 0.304042 | + | 0.966796i | ||||
\(739\) | 5.22131 | + | 7.18652i | 0.192069 | + | 0.264360i | 0.894180 | − | 0.447707i | \(-0.147759\pi\) |
−0.702111 | + | 0.712067i | \(0.747759\pi\) | |||||||
\(740\) | 32.6912 | + | 19.0735i | 1.20175 | + | 0.701154i | ||||
\(741\) | 34.7669 | − | 27.5093i | 1.27719 | − | 1.01058i | ||||
\(742\) | −7.45644 | + | 1.68749i | −0.273735 | + | 0.0619498i | ||||
\(743\) | − | 38.1796i | − | 1.40067i | −0.713813 | − | 0.700337i | \(-0.753033\pi\) | ||
0.713813 | − | 0.700337i | \(-0.246967\pi\) | |||||||
\(744\) | −42.7886 | − | 10.1868i | −1.56871 | − | 0.373465i | ||||
\(745\) | 25.2948 | + | 37.1715i | 0.926731 | + | 1.36186i | ||||
\(746\) | −0.863547 | + | 2.01015i | −0.0316167 | + | 0.0735970i | ||||
\(747\) | 12.0268 | + | 13.9797i | 0.440037 | + | 0.511490i | ||||
\(748\) | 3.74097 | − | 1.78467i | 0.136783 | − | 0.0652540i | ||||
\(749\) | − | 27.5350i | − | 1.00611i | ||||||
\(750\) | 26.9857 | − | 4.66583i | 0.985380 | − | 0.170372i | ||||
\(751\) | − | 25.5204i | − | 0.931254i | −0.884981 | − | 0.465627i | \(-0.845829\pi\) | ||
0.884981 | − | 0.465627i | \(-0.154171\pi\) | |||||||
\(752\) | −1.08884 | − | 4.06135i | −0.0397060 | − | 0.148102i | ||||
\(753\) | 11.8544 | + | 7.89013i | 0.431998 | + | 0.287532i | ||||
\(754\) | 16.6951 | + | 7.17211i | 0.608001 | + | 0.261193i | ||||
\(755\) | 9.99808 | + | 14.6925i | 0.363867 | + | 0.534714i | ||||
\(756\) | 22.5102 | + | 18.5149i | 0.818688 | + | 0.673380i | ||||
\(757\) | 24.9324i | 0.906184i | 0.891464 | + | 0.453092i | \(0.149679\pi\) | ||||
−0.891464 | + | 0.453092i | \(0.850321\pi\) | |||||||
\(758\) | −2.01321 | − | 8.89568i | −0.0731232 | − | 0.323106i | ||||
\(759\) | −4.19460 | − | 5.30123i | −0.152254 | − | 0.192423i | ||||
\(760\) | −27.4652 | + | 38.4919i | −0.996269 | + | 1.39625i | ||||
\(761\) | −26.6111 | − | 36.6270i | −0.964650 | − | 1.32773i | −0.944703 | − | 0.327926i | \(-0.893650\pi\) |
−0.0199469 | − | 0.999801i | \(-0.506350\pi\) | |||||||
\(762\) | −3.24197 | − | 4.97227i | −0.117444 | − | 0.180126i | ||||
\(763\) | 5.00854 | + | 3.63892i | 0.181321 | + | 0.131738i | ||||
\(764\) | −36.5896 | + | 17.4555i | −1.32376 | + | 0.631517i | ||||
\(765\) | 1.94808 | − | 7.24023i | 0.0704330 | − | 0.261771i | ||||
\(766\) | −15.4066 | − | 13.5102i | −0.556661 | − | 0.488145i | ||||
\(767\) | 27.8246 | − | 9.04076i | 1.00469 | − | 0.326443i | ||||
\(768\) | 23.4068 | − | 14.8365i | 0.844620 | − | 0.535367i | ||||
\(769\) | 7.78339 | + | 23.9548i | 0.280676 | + | 0.863833i | 0.987661 | + | 0.156605i | \(0.0500548\pi\) |
−0.706985 | + | 0.707229i | \(0.749945\pi\) | |||||||
\(770\) | −16.1434 | + | 3.13413i | −0.581768 | + | 0.112946i | ||||
\(771\) | −16.6321 | − | 11.0701i | −0.598991 | − | 0.398680i | ||||
\(772\) | 13.7633 | + | 7.47160i | 0.495351 | + | 0.268909i | ||||
\(773\) | 12.5760 | − | 9.13698i | 0.452326 | − | 0.328634i | −0.338187 | − | 0.941079i | \(-0.609814\pi\) |
0.790514 | + | 0.612445i | \(0.209814\pi\) | |||||||
\(774\) | −19.9008 | + | 26.8527i | −0.715318 | + | 0.965200i | ||||
\(775\) | 2.76420 | − | 44.8063i | 0.0992929 | − | 1.60949i | ||||
\(776\) | −48.0189 | − | 13.5373i | −1.72378 | − | 0.485961i | ||||
\(777\) | −38.5452 | + | 14.2987i | −1.38280 | + | 0.512963i | ||||
\(778\) | −12.2997 | + | 28.6310i | −0.440965 | + | 1.02647i | ||||
\(779\) | 14.9931 | − | 46.1440i | 0.537183 | − | 1.65328i | ||||
\(780\) | −11.6630 | − | 23.8160i | −0.417604 | − | 0.852750i | ||||
\(781\) | −2.05821 | − | 6.33453i | −0.0736487 | − | 0.226667i | ||||
\(782\) | −3.31317 | − | 0.304321i | −0.118479 | − | 0.0108825i | ||||
\(783\) | −9.43699 | + | 17.0657i | −0.337251 | + | 0.609880i | ||||
\(784\) | −1.88669 | − | 2.90436i | −0.0673818 | − | 0.103727i | ||||
\(785\) | 26.5343 | + | 38.9929i | 0.947049 | + | 1.39172i | ||||
\(786\) | 9.79375 | − | 2.64343i | 0.349331 | − | 0.0942881i | ||||
\(787\) | 15.4588 | + | 11.2315i | 0.551045 | + | 0.400358i | 0.828171 | − | 0.560476i | \(-0.189382\pi\) |
−0.277125 | + | 0.960834i | \(0.589382\pi\) | |||||||
\(788\) | −20.4734 | − | 21.5715i | −0.729335 | − | 0.768451i | ||||
\(789\) | 29.3170 | − | 10.8754i | 1.04371 | − | 0.387175i | ||||
\(790\) | 11.5793 | + | 10.8029i | 0.411974 | + | 0.384348i | ||||
\(791\) | −35.3316 | − | 25.6699i | −1.25625 | − | 0.912717i | ||||
\(792\) | 13.7556 | + | 7.63694i | 0.488785 | + | 0.271367i | ||||
\(793\) | 3.09010i | 0.109733i | ||||||||
\(794\) | 5.77659 | + | 25.5247i | 0.205003 | + | 0.905838i | ||||
\(795\) | −2.23390 | + | 7.12302i | −0.0792284 | + | 0.252628i | ||||
\(796\) | 25.5836 | + | 13.8885i | 0.906788 | + | 0.492264i | ||||
\(797\) | −0.192782 | + | 0.593322i | −0.00682869 | + | 0.0210166i | −0.954413 | − | 0.298490i | \(-0.903517\pi\) |
0.947584 | + | 0.319506i | \(0.103517\pi\) | |||||||
\(798\) | −13.3844 | − | 49.5885i | −0.473804 | − | 1.75541i | ||||
\(799\) | − | 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 | ||||
\(804\) | 3.72239 | + | 3.61270i | 0.131279 | + | 0.127410i | ||||
\(805\) | 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 | \(-0.607777\pi\) |
0.999702 | + | 0.0244311i | \(0.00777743\pi\) | |||||||
\(810\) | 26.6759 | − | 9.91960i | 0.937294 | − | 0.348539i | ||||
\(811\) | −28.4409 | − | 39.1456i | −0.998696 | − | 1.37459i | −0.926122 | − | 0.377224i | \(-0.876879\pi\) |
−0.0725742 | − | 0.997363i | \(-0.523121\pi\) | |||||||
\(812\) | 15.2692 | − | 14.4919i | 0.535842 | − | 0.508567i | ||||
\(813\) | −10.6274 | − | 13.4311i | −0.372718 | − | 0.471050i | ||||
\(814\) | −19.0720 | + | 11.3475i | −0.668472 | + | 0.397731i | ||||
\(815\) | −11.6419 | − | 0.358766i | −0.407799 | − | 0.0125670i | ||||
\(816\) | 7.39086 | − | 2.31060i | 0.258732 | − | 0.0808871i | ||||
\(817\) | 56.0170 | − | 18.2010i | 1.95979 | − | 0.636774i | ||||
\(818\) | −0.918840 | + | 10.0035i | −0.0321265 | + | 0.349764i | ||||
\(819\) | 28.0330 | + | 6.62385i | 0.979552 | + | 0.231456i | ||||
\(820\) | −25.0670 | − | 14.6252i | −0.875379 | − | 0.510733i | ||||
\(821\) | 13.4552 | + | 4.37187i | 0.469590 | + | 0.152579i | 0.534247 | − | 0.845328i | \(-0.320595\pi\) |
−0.0646566 | + | 0.997908i | \(0.520595\pi\) | |||||||
\(822\) | −4.97638 | + | 6.16835i | −0.173571 | + | 0.215146i | ||||
\(823\) | −22.2565 | + | 16.1703i | −0.775811 | + | 0.563660i | −0.903719 | − | 0.428126i | \(-0.859174\pi\) |
0.127908 | + | 0.991786i | \(0.459174\pi\) | |||||||
\(824\) | −10.3861 | + | 36.8411i | −0.361817 | + | 1.28342i | ||||
\(825\) | −5.27492 | + | 15.1667i | −0.183649 | + | 0.528038i | ||||
\(826\) | 3.10028 | − | 33.7531i | 0.107873 | − | 1.17442i | ||||
\(827\) | −12.6394 | − | 17.3967i | −0.439516 | − | 0.604942i | 0.530588 | − | 0.847630i | \(-0.321971\pi\) |
−0.970105 | + | 0.242687i | \(0.921971\pi\) | |||||||
\(828\) | −6.35464 | − | 10.9142i | −0.220839 | − | 0.379294i | ||||
\(829\) | 5.25649 | − | 16.1778i | 0.182565 | − | 0.561878i | −0.817333 | − | 0.576166i | \(-0.804548\pi\) |
0.999898 | + | 0.0142879i | \(0.00454813\pi\) | |||||||
\(830\) | −19.2932 | − | 2.37339i | −0.669678 | − | 0.0823817i | ||||
\(831\) | −0.238272 | − | 5.79924i | −0.00826558 | − | 0.201174i | ||||
\(832\) | 14.3054 | − | 23.3552i | 0.495950 | − | 0.809697i | ||||
\(833\) | −0.299050 | − | 0.920381i | −0.0103615 | − | 0.0318893i | ||||
\(834\) | −14.4674 | + | 9.43288i | −0.500964 | + | 0.326634i | ||||
\(835\) | 7.22368 | − | 9.32443i | 0.249986 | − | 0.322685i | ||||
\(836\) | −11.9382 | − | 25.0244i | −0.412890 | − | 0.865486i | ||||
\(837\) | −5.73267 | − | 46.2991i | −0.198150 | − | 1.60033i | ||||
\(838\) | −1.99867 | + | 2.27920i | −0.0690428 | + | 0.0787337i | ||||
\(839\) | 35.6588 | − | 25.9076i | 1.23108 | − | 0.894430i | 0.234107 | − | 0.972211i | \(-0.424783\pi\) |
0.996970 | + | 0.0777808i | \(0.0247834\pi\) | |||||||
\(840\) | −30.6851 | + | 1.52420i | −1.05874 | + | 0.0525897i | ||||
\(841\) | −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 | ||||
\(846\) | 3.63274 | − | 2.58715i | 0.124896 | − | 0.0889480i | ||||
\(847\) | −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 | ||||||||
\(852\) | −2.13015 | − | 12.2598i | −0.0729777 | − | 0.420014i | ||||
\(853\) | −18.0688 | − | 5.87090i | −0.618662 | − | 0.201016i | −0.0171161 | − | 0.999854i | \(-0.505448\pi\) |
−0.601546 | + | 0.798838i | \(0.705448\pi\) | |||||||
\(854\) | 3.28935 | + | 1.41308i | 0.112559 | + | 0.0483547i | ||||
\(855\) | −48.4319 | − | 13.0313i | −1.65634 | − | 0.445660i | ||||
\(856\) | −1.09311 | − | 27.7473i | −0.0373616 | − | 0.948385i | ||||
\(857\) | 20.8990 | 0.713898 | 0.356949 | − | 0.934124i | \(-0.383817\pi\) | ||||
0.356949 | + | 0.934124i | \(0.383817\pi\) | |||||||
\(858\) | 15.5293 | + | 0.785380i | 0.530160 | + | 0.0268124i | ||||
\(859\) | −11.9399 | + | 16.4339i | −0.407384 | + | 0.560716i | −0.962578 | − | 0.271005i | \(-0.912644\pi\) |
0.555194 | + | 0.831721i | \(0.312644\pi\) | |||||||
\(860\) | −3.52294 | − | 35.0545i | −0.120131 | − | 1.19535i | ||||
\(861\) | 29.5558 | − | 10.9640i | 1.00726 | − | 0.373651i | ||||
\(862\) | −16.4449 | + | 18.7532i | −0.560116 | + | 0.638735i | ||||
\(863\) | 12.7010 | − | 17.4814i | 0.432347 | − | 0.595075i | −0.536143 | − | 0.844127i | \(-0.680119\pi\) |
0.968490 | + | 0.249052i | \(0.0801191\pi\) | |||||||
\(864\) | 23.4188 | + | 17.7640i | 0.796723 | + | 0.604344i | ||||
\(865\) | 12.2784 | − | 34.1698i | 0.417478 | − | 1.16181i | ||||
\(866\) | 2.59415 | + | 2.27485i | 0.0881529 | + | 0.0773026i | ||||
\(867\) | −27.2581 | + | 1.11995i | −0.925734 | + | 0.0380355i | ||||
\(868\) | −9.17416 | + | 49.5186i | −0.311391 | + | 1.68077i | ||||
\(869\) | −8.83104 | + | 2.86938i | −0.299573 | + | 0.0973370i | ||||
\(870\) | −4.74276 | − | 20.0014i | −0.160795 | − | 0.678112i | ||||
\(871\) | 4.87559 | + | 1.58418i | 0.165203 | + | 0.0536778i | ||||
\(872\) | 5.19162 | + | 3.46814i | 0.175810 | + | 0.117446i | ||||
\(873\) | −4.34105 | − | 52.7386i | −0.146922 | − | 1.78493i | ||||
\(874\) | −2.03569 | + | 22.1627i | −0.0688582 | + | 0.749665i | ||||
\(875\) | −6.89610 | − | 30.5888i | −0.233131 | − | 1.03409i | ||||
\(876\) | 39.4374 | + | 19.3571i | 1.33247 | + | 0.654016i | ||||
\(877\) | 2.47861 | + | 3.41151i | 0.0836967 | + | 0.115199i | 0.848812 | − | 0.528694i | \(-0.177318\pi\) |
−0.765116 | + | 0.643893i | \(0.777318\pi\) | |||||||
\(878\) | −18.5365 | + | 43.1491i | −0.625578 | + | 1.45621i | ||||
\(879\) | −14.9737 | − | 9.96627i | −0.505049 | − | 0.336154i | ||||
\(880\) | −16.1435 | + | 3.79916i | −0.544196 | + | 0.128070i | ||||
\(881\) | −2.80298 | + | 0.910745i | −0.0944349 | + | 0.0306838i | −0.355853 | − | 0.934542i | \(-0.615810\pi\) |
0.261418 | + | 0.965226i | \(0.415810\pi\) | |||||||
\(882\) | 2.18724 | − | 2.95131i | 0.0736482 | − | 0.0993758i | ||||
\(883\) | 2.30373 | + | 7.09016i | 0.0775268 | + | 0.238603i | 0.982308 | − | 0.187275i | \(-0.0599654\pi\) |
−0.904781 | + | 0.425878i | \(0.859965\pi\) | |||||||
\(884\) | 5.55085 | − | 5.26830i | 0.186695 | − | 0.177192i | ||||
\(885\) | −26.9746 | − | 19.1786i | −0.906741 | − | 0.644681i | ||||
\(886\) | −30.4223 | + | 18.1008i | −1.02206 | + | 0.608109i | ||||
\(887\) | 27.3957 | − | 37.7070i | 0.919859 | − | 1.26608i | −0.0438270 | − | 0.999039i | \(-0.513955\pi\) |
0.963686 | − | 0.267038i | \(-0.0860450\pi\) | |||||||
\(888\) | −38.2748 | + | 15.9391i | −1.28442 | + | 0.534882i | ||||
\(889\) | −5.49837 | + | 3.99480i | −0.184410 | + | 0.133981i | ||||
\(890\) | −10.2129 | − | 52.6051i | −0.342337 | − | 1.76333i | ||||
\(891\) | −2.49222 | + | 16.5007i | −0.0834924 | + | 0.552793i | ||||
\(892\) | −0.530853 | − | 4.03006i | −0.0177743 | − | 0.134936i | ||||
\(893\) | −7.85932 | −0.263002 | ||||||||
\(894\) | −49.1901 | − | 2.48775i | −1.64516 | − | 0.0832029i | ||||
\(895\) | −6.02148 | − | 20.6791i | −0.201276 | − | 0.691225i | ||||
\(896\) | −18.3195 | − | 25.9080i | −0.612010 | − | 0.865526i | ||||
\(897\) | −10.3903 | − | 6.91567i | −0.346923 | − | 0.230907i | ||||
\(898\) | −38.9001 | + | 23.1449i | −1.29811 | + | 0.772357i | ||||
\(899\) | −33.6956 | −1.12381 | ||||||||
\(900\) | −13.7691 | + | 26.6536i | −0.458970 | + | 0.888452i | ||||
\(901\) | −2.15434 | −0.0717714 | ||||||||
\(902\) | 14.6240 | − | 8.70108i | 0.486927 | − | 0.289714i | ||||
\(903\) | 31.8574 | + | 21.2039i | 1.06015 | + | 0.705621i | ||||
\(904\) | −36.6231 | − | 24.4652i | −1.21806 | − | 0.813700i | ||||
\(905\) | −20.9031 | − | 16.1938i | −0.694844 | − | 0.538299i | ||||
\(906\) | −19.4430 | − | 0.983314i | −0.645950 | − | 0.0326684i | ||||
\(907\) | −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 | ||||
\(909\) | −18.8706 | + | 7.89591i | −0.625900 | + | 0.261891i | ||||
\(910\) | −26.5595 | + | 14.7142i | −0.880438 | + | 0.487772i | ||||
\(911\) | −4.26038 | + | 3.09534i | −0.141153 | + | 0.102553i | −0.656121 | − | 0.754656i | \(-0.727804\pi\) |
0.514968 | + | 0.857209i | \(0.327804\pi\) | |||||||
\(912\) | −15.4562 | − | 49.4395i | −0.511807 | − | 1.63711i | ||||
\(913\) | 6.69949 | − | 9.22106i | 0.221721 | − | 0.305173i | ||||
\(914\) | 33.8494 | − | 20.1399i | 1.11964 | − | 0.666168i | ||||
\(915\) | 2.80693 | − | 2.08367i | 0.0927942 | − | 0.0688841i | ||||
\(916\) | −3.98596 | − | 4.19973i | −0.131700 | − | 0.138763i | ||||
\(917\) | −3.58920 | − | 11.0464i | −0.118526 | − | 0.364785i | ||||
\(918\) | 5.03519 | + | 6.48891i | 0.166186 | + | 0.214166i | ||||
\(919\) | 19.0916 | − | 6.20325i | 0.629775 | − | 0.204626i | 0.0232996 | − | 0.999729i | \(-0.492583\pi\) |
0.606475 | + | 0.795102i | \(0.292583\pi\) | |||||||
\(920\) | 12.6957 | + | 4.00517i | 0.418566 | + | 0.132046i | ||||
\(921\) | 24.5895 | + | 16.3664i | 0.810250 | + | 0.539292i | ||||
\(922\) | 2.59043 | − | 6.02996i | 0.0853111 | − | 0.198586i | ||||
\(923\) | −7.22841 | − | 9.94905i | −0.237926 | − | 0.327477i | ||||
\(924\) | 7.93745 | − | 16.1715i | 0.261123 | − | 0.532002i | ||||
\(925\) | −22.7175 | − | 35.7009i | −0.746947 | − | 1.17384i | ||||
\(926\) | −1.92416 | + | 20.9485i | −0.0632319 | + | 0.688412i | ||||
\(927\) | −40.4621 | + | 3.33054i | −1.32895 | + | 0.109389i | ||||
\(928\) | 14.8116 | − | 15.2098i | 0.486214 | − | 0.499287i | ||||
\(929\) | −22.1752 | − | 7.20515i | −0.727544 | − | 0.236393i | −0.0782532 | − | 0.996934i | \(-0.524934\pi\) |
−0.649291 | + | 0.760540i | \(0.724934\pi\) | |||||||
\(930\) | 37.3044 | + | 32.0419i | 1.22326 | + | 1.05070i | ||||
\(931\) | −6.15669 | + | 2.00043i | −0.201777 | + | 0.0655614i | ||||
\(932\) | 36.4964 | + | 6.76158i | 1.19548 | + | 0.221483i | ||||
\(933\) | 42.4780 | − | 1.74528i | 1.39067 | − | 0.0571380i | ||||
\(934\) | −6.92353 | − | 6.07135i | −0.226545 | − | 0.198661i | ||||
\(935\) | −4.63190 | − | 0.142740i | −0.151479 | − | 0.00466810i | ||||
\(936\) | 28.5121 | + | 5.56204i | 0.931946 | + | 0.181801i | ||||
\(937\) | −17.3203 | + | 23.8393i | −0.565829 | + | 0.778797i | −0.992053 | − | 0.125821i | \(-0.959844\pi\) |
0.426224 | + | 0.904618i | \(0.359844\pi\) | |||||||
\(938\) | 3.91590 | − | 4.46555i | 0.127859 | − | 0.145805i | ||||
\(939\) | −15.6654 | + | 5.81122i | −0.511221 | + | 0.189642i | ||||
\(940\) | −0.998355 | + | 4.59385i | −0.0325627 | + | 0.149835i | ||||
\(941\) | −31.9798 | + | 44.0164i | −1.04251 | + | 1.43489i | −0.147385 | + | 0.989079i | \(0.547086\pi\) |
−0.895126 | + | 0.445814i | \(0.852914\pi\) | |||||||
\(942\) | −51.6005 | − | 2.60965i | −1.68123 | − | 0.0850271i | ||||
\(943\) | −13.6595 | −0.444816 | ||||||||
\(944\) | 1.78423 | − | 34.1364i | 0.0580719 | − | 1.11104i | ||||
\(945\) | −12.8860 | − | 29.9306i | −0.419180 | − | 0.973642i | ||||
\(946\) | 18.9804 | + | 8.15386i | 0.617107 | + | 0.265105i | ||||
\(947\) | 11.6782 | + | 3.79449i | 0.379492 | + | 0.123304i | 0.492550 | − | 0.870284i | \(-0.336065\pi\) |
−0.113058 | + | 0.993588i | \(0.536065\pi\) | |||||||
\(948\) | −17.0915 | + | 2.96966i | −0.555107 | + | 0.0964502i | ||||
\(949\) | 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 | \(-0.996495\pi\) |
0.815439 | + | 0.578842i | \(0.196495\pi\) | |||||||
\(954\) | −4.74383 | − | 6.66104i | −0.153587 | − | 0.215659i | ||||
\(955\) | 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 | ||||
\(960\) | −30.8612 | + | 2.75411i | −0.996042 | + | 0.0888884i | ||||
\(961\) | 40.1353 | − | 29.1600i | 1.29469 | − | 0.940645i | ||||
\(962\) | −27.0158 | + | 30.8078i | −0.871025 | + | 0.993283i | ||||
\(963\) | 27.1707 | − | 11.3689i | 0.875564 | − | 0.366356i | ||||
\(964\) | −37.7447 | + | 18.0065i | −1.21568 | + | 0.579952i | ||||
\(965\) | −9.85034 | − | 14.4754i | −0.317094 | − | 0.465979i | ||||
\(966\) | −12.1130 | + | 7.89782i | −0.389730 | + | 0.254108i | ||||
\(967\) | 9.31678 | + | 28.6741i | 0.299608 | + | 0.922097i | 0.981635 | + | 0.190770i | \(0.0610986\pi\) |
−0.682027 | + | 0.731327i | \(0.738901\pi\) | |||||||
\(968\) | −5.80352 | + | 20.5860i | −0.186532 | + | 0.661658i | ||||
\(969\) | −0.594186 | − | 14.4617i | −0.0190880 | − | 0.464578i | ||||
\(970\) | 40.7858 | + | 38.0508i | 1.30955 | + | 1.22174i | ||||
\(971\) | −18.5759 | + | 57.1707i | −0.596129 | + | 1.83470i | −0.0471045 | + | 0.998890i | \(0.514999\pi\) |
−0.549024 | + | 0.835806i | \(0.685001\pi\) | |||||||
\(972\) | −8.97575 | + | 29.8569i | −0.287897 | + | 0.957661i | ||||
\(973\) | 11.6233 | + | 15.9981i | 0.372627 | + | 0.512877i | ||||
\(974\) | 2.49534 | − | 27.1670i | 0.0799558 | − | 0.870486i | ||||
\(975\) | −0.609244 | + | 29.6423i | −0.0195114 | + | 0.949313i | ||||
\(976\) | 3.37081 | + | 1.29339i | 0.107897 | + | 0.0414005i | ||||
\(977\) | 26.6193 | − | 19.3401i | 0.851627 | − | 0.618744i | −0.0739668 | − | 0.997261i | \(-0.523566\pi\) |
0.925594 | + | 0.378517i | \(0.123566\pi\) | |||||||
\(978\) | 8.01144 | − | 9.93038i | 0.256178 | − | 0.317539i | ||||
\(979\) | 29.8831 | + | 9.70960i | 0.955068 | + | 0.310320i | ||||
\(980\) | 0.387197 | + | 3.85275i | 0.0123686 | + | 0.123072i | ||||
\(981\) | −1.52281 | + | 6.44473i | −0.0486196 | + | 0.205765i | ||||
\(982\) | −0.750610 | + | 8.17195i | −0.0239529 | + | 0.260778i | ||||
\(983\) | 46.5391 | − | 15.1215i | 1.48437 | − | 0.482300i | 0.548951 | − | 0.835854i | \(-0.315027\pi\) |
0.935414 | + | 0.353555i | \(0.115027\pi\) | |||||||
\(984\) | 29.3484 | − | 12.2218i | 0.935593 | − | 0.389618i | ||||
\(985\) | 9.29610 | + | 31.9248i | 0.296198 | + | 1.01721i | ||||
\(986\) | 5.09808 | − | 3.03328i | 0.162356 | − | 0.0965994i | ||||
\(987\) | −3.16854 | − | 4.00447i | −0.100856 | − | 0.127464i | ||||
\(988\) | −35.2411 | − | 37.1312i | −1.12117 | − | 1.18130i | ||||
\(989\) | −9.74674 | − | 13.4152i | −0.309928 | − | 0.426580i | ||||
\(990\) | −9.75806 | − | 14.6358i | −0.310131 | − | 0.465155i | ||||
\(991\) | 31.2519 | − | 43.0145i | 0.992748 | − | 1.36640i | 0.0630779 | − | 0.998009i | \(-0.479908\pi\) |
0.929670 | − | 0.368392i | \(-0.120092\pi\) | |||||||
\(992\) | −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 | ||||
\(996\) | 14.8303 | − | 15.2806i | 0.469916 | − | 0.484184i | ||||
\(997\) | −51.0502 | − | 16.5872i | −1.61678 | − | 0.525322i | −0.645598 | − | 0.763678i | \(-0.723392\pi\) |
−0.971178 | + | 0.238356i | \(0.923392\pi\) | |||||||
\(998\) | −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.239.19 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.239.38 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.239.41 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.239.16 | yes | 224 | |
25.9 | even | 10 | inner | 300.2.r.a.59.16 | ✓ | 224 | |
75.59 | odd | 10 | inner | 300.2.r.a.59.41 | yes | 224 | |
100.59 | odd | 10 | inner | 300.2.r.a.59.38 | yes | 224 | |
300.59 | even | 10 | inner | 300.2.r.a.59.19 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.16 | ✓ | 224 | 25.9 | even | 10 | inner | |
300.2.r.a.59.19 | yes | 224 | 300.59 | even | 10 | inner | |
300.2.r.a.59.38 | yes | 224 | 100.59 | odd | 10 | inner | |
300.2.r.a.59.41 | yes | 224 | 75.59 | odd | 10 | inner | |
300.2.r.a.239.16 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.19 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.38 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.41 | yes | 224 | 4.3 | odd | 2 | inner |