Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.3 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.3 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40466 | − | 0.164109i | −0.993244 | − | 0.116043i | ||||
\(3\) | −1.71912 | + | 0.712084i | −0.992536 | + | 0.411122i | −0.819055 | − | 0.573715i | \(-0.805502\pi\) |
−0.173481 | + | 0.984837i | \(0.555502\pi\) | |||||||
\(4\) | 1.94614 | + | 0.461036i | 0.973068 | + | 0.230518i | ||||
\(5\) | 1.47294 | − | 3.55599i | 0.658718 | − | 1.59029i | −0.141068 | − | 0.990000i | \(-0.545054\pi\) |
0.799786 | − | 0.600285i | \(-0.204946\pi\) | |||||||
\(6\) | 2.53164 | − | 0.718111i | 1.03354 | − | 0.293168i | ||||
\(7\) | −1.70912 | − | 1.70912i | −0.645985 | − | 0.645985i | 0.306035 | − | 0.952020i | \(-0.400997\pi\) |
−0.952020 | + | 0.306035i | \(0.900997\pi\) | |||||||
\(8\) | −2.65800 | − | 0.966978i | −0.939744 | − | 0.341878i | ||||
\(9\) | 0.327000 | − | 0.327000i | 0.109000 | − | 0.109000i | ||||
\(10\) | −2.65255 | + | 4.75323i | −0.838809 | + | 1.50310i | ||||
\(11\) | −1.02823 | − | 0.425908i | −0.310024 | − | 0.128416i | 0.222246 | − | 0.974991i | \(-0.428661\pi\) |
−0.532271 | + | 0.846574i | \(0.678661\pi\) | |||||||
\(12\) | −3.67394 | + | 0.593235i | −1.06058 | + | 0.171252i | ||||
\(13\) | 0.382683 | + | 0.923880i | 0.106137 | + | 0.256238i | ||||
\(14\) | 2.12024 | + | 2.68121i | 0.566659 | + | 0.716583i | ||||
\(15\) | 7.16203i | 1.84923i | ||||||||
\(16\) | 3.57489 | + | 1.79448i | 0.893723 | + | 0.448619i | ||||
\(17\) | − | 4.30442i | − | 1.04397i | −0.852953 | − | 0.521987i | \(-0.825191\pi\) | ||
0.852953 | − | 0.521987i | \(-0.174809\pi\) | |||||||
\(18\) | −0.512988 | + | 0.405660i | −0.120912 | + | 0.0956151i | ||||
\(19\) | 2.06438 | + | 4.98386i | 0.473602 | + | 1.14338i | 0.962560 | + | 0.271068i | \(0.0873770\pi\) |
−0.488958 | + | 0.872307i | \(0.662623\pi\) | |||||||
\(20\) | 4.50597 | − | 6.24136i | 1.00757 | − | 1.39561i | ||||
\(21\) | 4.15521 | + | 1.72115i | 0.906742 | + | 0.375585i | ||||
\(22\) | 1.37442 | + | 0.766999i | 0.293028 | + | 0.163525i | ||||
\(23\) | −4.55365 | + | 4.55365i | −0.949502 | + | 0.949502i | −0.998785 | − | 0.0492830i | \(-0.984306\pi\) |
0.0492830 | + | 0.998785i | \(0.484306\pi\) | |||||||
\(24\) | 5.25800 | − | 0.230365i | 1.07328 | − | 0.0470230i | ||||
\(25\) | −6.93996 | − | 6.93996i | −1.38799 | − | 1.38799i | ||||
\(26\) | −0.385923 | − | 1.36054i | −0.0756856 | − | 0.266823i | ||||
\(27\) | 1.80695 | − | 4.36236i | 0.347748 | − | 0.839537i | ||||
\(28\) | −2.53821 | − | 4.11414i | −0.479676 | − | 0.777498i | ||||
\(29\) | −8.51484 | + | 3.52696i | −1.58117 | + | 0.654941i | −0.988598 | − | 0.150579i | \(-0.951886\pi\) |
−0.592569 | + | 0.805520i | \(0.701886\pi\) | |||||||
\(30\) | 1.17536 | − | 10.0602i | 0.214590 | − | 1.83674i | ||||
\(31\) | −4.74100 | −0.851508 | −0.425754 | − | 0.904839i | \(-0.639991\pi\) | ||||
−0.425754 | + | 0.904839i | \(0.639991\pi\) | |||||||
\(32\) | −4.72702 | − | 3.10730i | −0.835626 | − | 0.549299i | ||||
\(33\) | 2.07094 | 0.360505 | ||||||||
\(34\) | −0.706396 | + | 6.04624i | −0.121146 | + | 1.03692i | ||||
\(35\) | −8.59501 | + | 3.56017i | −1.45282 | + | 0.601779i | ||||
\(36\) | 0.787146 | − | 0.485628i | 0.131191 | − | 0.0809381i | ||||
\(37\) | −3.40242 | + | 8.21417i | −0.559354 | + | 1.35040i | 0.350924 | + | 0.936404i | \(0.385868\pi\) |
−0.910278 | + | 0.413997i | \(0.864132\pi\) | |||||||
\(38\) | −2.08185 | − | 7.33941i | −0.337721 | − | 1.19061i | ||||
\(39\) | −1.31576 | − | 1.31576i | −0.210690 | − | 0.210690i | ||||
\(40\) | −7.35362 | + | 8.02751i | −1.16271 | + | 1.26926i | ||||
\(41\) | 8.40017 | − | 8.40017i | 1.31189 | − | 1.31189i | 0.391862 | − | 0.920024i | \(-0.371831\pi\) |
0.920024 | − | 0.391862i | \(-0.128169\pi\) | |||||||
\(42\) | −5.55420 | − | 3.09953i | −0.857032 | − | 0.478268i | ||||
\(43\) | −10.6514 | − | 4.41195i | −1.62432 | − | 0.672816i | −0.629743 | − | 0.776804i | \(-0.716840\pi\) |
−0.994579 | + | 0.103988i | \(0.966840\pi\) | |||||||
\(44\) | −1.80472 | − | 1.30293i | −0.272072 | − | 0.196424i | ||||
\(45\) | −0.681158 | − | 1.64446i | −0.101541 | − | 0.245142i | ||||
\(46\) | 7.14363 | − | 5.64903i | 1.05327 | − | 0.832904i | ||||
\(47\) | − | 5.91320i | − | 0.862529i | −0.902226 | − | 0.431264i | \(-0.858068\pi\) | ||
0.902226 | − | 0.431264i | \(-0.141932\pi\) | |||||||
\(48\) | −7.42350 | − | 0.539303i | −1.07149 | − | 0.0778416i | ||||
\(49\) | − | 1.15785i | − | 0.165407i | ||||||
\(50\) | 8.60936 | + | 10.8872i | 1.21755 | + | 1.53968i | ||||
\(51\) | 3.06511 | + | 7.39983i | 0.429201 | + | 1.03618i | ||||
\(52\) | 0.318813 | + | 1.97443i | 0.0442113 | + | 0.273804i | ||||
\(53\) | 1.16825 | + | 0.483906i | 0.160472 | + | 0.0664696i | 0.461473 | − | 0.887154i | \(-0.347321\pi\) |
−0.301002 | + | 0.953624i | \(0.597321\pi\) | |||||||
\(54\) | −3.25405 | + | 5.83110i | −0.442821 | + | 0.793512i | ||||
\(55\) | −3.02905 | + | 3.02905i | −0.408437 | + | 0.408437i | ||||
\(56\) | 2.89015 | + | 6.19550i | 0.386212 | + | 0.827909i | ||||
\(57\) | −7.09785 | − | 7.09785i | −0.940134 | − | 0.940134i | ||||
\(58\) | 12.5393 | − | 3.55682i | 1.64649 | − | 0.467033i | ||||
\(59\) | −0.422803 | + | 1.02074i | −0.0550443 | + | 0.132889i | −0.949009 | − | 0.315248i | \(-0.897912\pi\) |
0.893965 | + | 0.448137i | \(0.147912\pi\) | |||||||
\(60\) | −3.30195 | + | 13.9383i | −0.426280 | + | 1.79943i | ||||
\(61\) | −6.48374 | + | 2.68565i | −0.830158 | + | 0.343863i | −0.756965 | − | 0.653455i | \(-0.773319\pi\) |
−0.0731929 | + | 0.997318i | \(0.523319\pi\) | |||||||
\(62\) | 6.65948 | + | 0.778042i | 0.845755 | + | 0.0988115i | ||||
\(63\) | −1.11776 | −0.140825 | ||||||||
\(64\) | 6.12991 | + | 5.14045i | 0.766239 | + | 0.642556i | ||||
\(65\) | 3.84897 | 0.477406 | ||||||||
\(66\) | −2.90897 | − | 0.339861i | −0.358069 | − | 0.0418340i | ||||
\(67\) | 2.94261 | − | 1.21887i | 0.359497 | − | 0.148909i | −0.195622 | − | 0.980679i | \(-0.562673\pi\) |
0.555119 | + | 0.831771i | \(0.312673\pi\) | |||||||
\(68\) | 1.98449 | − | 8.37699i | 0.240655 | − | 1.01586i | ||||
\(69\) | 4.58570 | − | 11.0709i | 0.552054 | − | 1.33278i | ||||
\(70\) | 12.6573 | − | 3.59030i | 1.51284 | − | 0.429123i | ||||
\(71\) | 2.62330 | + | 2.62330i | 0.311329 | + | 0.311329i | 0.845424 | − | 0.534095i | \(-0.179348\pi\) |
−0.534095 | + | 0.845424i | \(0.679348\pi\) | |||||||
\(72\) | −1.18537 | + | 0.552964i | −0.139697 | + | 0.0651675i | ||||
\(73\) | −1.25526 | + | 1.25526i | −0.146917 | + | 0.146917i | −0.776739 | − | 0.629822i | \(-0.783128\pi\) |
0.629822 | + | 0.776739i | \(0.283128\pi\) | |||||||
\(74\) | 6.12726 | − | 10.9797i | 0.712280 | − | 1.27637i | ||||
\(75\) | 16.8725 | + | 6.98881i | 1.94826 | + | 0.806998i | ||||
\(76\) | 1.71983 | + | 10.6510i | 0.197278 | + | 1.22176i | ||||
\(77\) | 1.02944 | + | 2.48530i | 0.117316 | + | 0.283226i | ||||
\(78\) | 1.63227 | + | 2.06412i | 0.184818 | + | 0.233716i | ||||
\(79\) | 3.58349i | 0.403174i | 0.979471 | + | 0.201587i | \(0.0646099\pi\) | ||||
−0.979471 | + | 0.201587i | \(0.935390\pi\) | |||||||
\(80\) | 11.6467 | − | 10.0691i | 1.30214 | − | 1.12576i | ||||
\(81\) | 10.1735i | 1.13039i | ||||||||
\(82\) | −13.1779 | + | 10.4208i | −1.45526 | + | 1.15079i | ||||
\(83\) | −1.70103 | − | 4.10666i | −0.186713 | − | 0.450764i | 0.802610 | − | 0.596504i | \(-0.203444\pi\) |
−0.989323 | + | 0.145739i | \(0.953444\pi\) | |||||||
\(84\) | 7.29310 | + | 5.26529i | 0.795743 | + | 0.574490i | ||||
\(85\) | −15.3065 | − | 6.34014i | −1.66022 | − | 0.687685i | ||||
\(86\) | 14.2375 | + | 7.94528i | 1.53527 | + | 0.856762i | ||||
\(87\) | 12.1266 | − | 12.1266i | 1.30010 | − | 1.30010i | ||||
\(88\) | 2.32120 | + | 2.12634i | 0.247441 | + | 0.226669i | ||||
\(89\) | 1.44355 | + | 1.44355i | 0.153016 | + | 0.153016i | 0.779464 | − | 0.626448i | \(-0.215492\pi\) |
−0.626448 | + | 0.779464i | \(0.715492\pi\) | |||||||
\(90\) | 0.686923 | + | 2.42169i | 0.0724081 | + | 0.255269i | ||||
\(91\) | 0.924967 | − | 2.23307i | 0.0969629 | − | 0.234089i | ||||
\(92\) | −10.9614 | + | 6.76263i | −1.14281 | + | 0.705053i | ||||
\(93\) | 8.15036 | − | 3.37599i | 0.845153 | − | 0.350074i | ||||
\(94\) | −0.970412 | + | 8.30603i | −0.100090 | + | 0.856702i | ||||
\(95\) | 20.7632 | 2.13026 | ||||||||
\(96\) | 10.3390 | + | 1.97580i | 1.05522 | + | 0.201655i | ||||
\(97\) | −8.83314 | −0.896869 | −0.448435 | − | 0.893816i | \(-0.648018\pi\) | ||||
−0.448435 | + | 0.893816i | \(0.648018\pi\) | |||||||
\(98\) | −0.190014 | + | 1.62638i | −0.0191943 | + | 0.164289i | ||||
\(99\) | −0.475505 | + | 0.196961i | −0.0477901 | + | 0.0197953i | ||||
\(100\) | −10.3065 | − | 16.7057i | −1.03065 | − | 1.67057i | ||||
\(101\) | 1.37054 | − | 3.30879i | 0.136374 | − | 0.329236i | −0.840908 | − | 0.541178i | \(-0.817979\pi\) |
0.977282 | + | 0.211941i | \(0.0679786\pi\) | |||||||
\(102\) | −3.09105 | − | 10.8972i | −0.306060 | − | 1.07899i | ||||
\(103\) | −2.02714 | − | 2.02714i | −0.199740 | − | 0.199740i | 0.600149 | − | 0.799888i | \(-0.295108\pi\) |
−0.799888 | + | 0.600149i | \(0.795108\pi\) | |||||||
\(104\) | −0.123801 | − | 2.82572i | −0.0121397 | − | 0.277084i | ||||
\(105\) | 12.2407 | − | 12.2407i | 1.19457 | − | 1.19457i | ||||
\(106\) | −1.56158 | − | 0.871444i | −0.151674 | − | 0.0846421i | ||||
\(107\) | −4.15610 | − | 1.72151i | −0.401785 | − | 0.166425i | 0.172634 | − | 0.984986i | \(-0.444772\pi\) |
−0.574419 | + | 0.818561i | \(0.694772\pi\) | |||||||
\(108\) | 5.52778 | − | 7.65669i | 0.531911 | − | 0.736765i | ||||
\(109\) | 3.97137 | + | 9.58774i | 0.380388 | + | 0.918339i | 0.991890 | + | 0.127096i | \(0.0405656\pi\) |
−0.611502 | + | 0.791243i | \(0.709434\pi\) | |||||||
\(110\) | 4.75188 | − | 3.75769i | 0.453074 | − | 0.358281i | ||||
\(111\) | − | 16.5440i | − | 1.57028i | ||||||
\(112\) | −3.04294 | − | 9.17687i | −0.287530 | − | 0.867133i | ||||
\(113\) | − | 2.02986i | − | 0.190953i | −0.995432 | − | 0.0954767i | \(-0.969562\pi\) | ||
0.995432 | − | 0.0954767i | \(-0.0304375\pi\) | |||||||
\(114\) | 8.80524 | + | 11.1349i | 0.824686 | + | 1.04288i | ||||
\(115\) | 9.48547 | + | 22.9000i | 0.884525 | + | 2.13543i | ||||
\(116\) | −18.1971 | + | 2.93830i | −1.68956 | + | 0.272815i | ||||
\(117\) | 0.427247 | + | 0.176971i | 0.0394990 | + | 0.0163610i | ||||
\(118\) | 0.761407 | − | 1.36440i | 0.0700932 | − | 0.125603i | ||||
\(119\) | −7.35675 | + | 7.35675i | −0.674392 | + | 0.674392i | ||||
\(120\) | 6.92553 | − | 19.0367i | 0.632211 | − | 1.73780i | ||||
\(121\) | −6.90231 | − | 6.90231i | −0.627483 | − | 0.627483i | ||||
\(122\) | 9.54819 | − | 2.70839i | 0.864453 | − | 0.245206i | ||||
\(123\) | −8.45930 | + | 20.4225i | −0.762749 | + | 1.84144i | ||||
\(124\) | −9.22662 | − | 2.18577i | −0.828575 | − | 0.196288i | ||||
\(125\) | −17.1206 | + | 7.09157i | −1.53131 | + | 0.634290i | ||||
\(126\) | 1.57008 | + | 0.183435i | 0.139874 | + | 0.0163417i | ||||
\(127\) | 8.96333 | 0.795367 | 0.397684 | − | 0.917523i | \(-0.369814\pi\) | ||||
0.397684 | + | 0.917523i | \(0.369814\pi\) | |||||||
\(128\) | −7.76684 | − | 8.22656i | −0.686498 | − | 0.727132i | ||||
\(129\) | 21.4527 | 1.88881 | ||||||||
\(130\) | −5.40649 | − | 0.631653i | −0.474181 | − | 0.0553996i | ||||
\(131\) | −1.74457 | + | 0.722625i | −0.152424 | + | 0.0631360i | −0.457591 | − | 0.889163i | \(-0.651288\pi\) |
0.305167 | + | 0.952299i | \(0.401288\pi\) | |||||||
\(132\) | 4.03034 | + | 0.954779i | 0.350796 | + | 0.0831028i | ||||
\(133\) | 4.98972 | − | 12.0463i | 0.432664 | − | 1.04454i | ||||
\(134\) | −4.33340 | + | 1.22919i | −0.374348 | + | 0.106186i | ||||
\(135\) | −12.8510 | − | 12.8510i | −1.10604 | − | 1.10604i | ||||
\(136\) | −4.16228 | + | 11.4411i | −0.356912 | + | 0.981069i | ||||
\(137\) | 13.9486 | − | 13.9486i | 1.19171 | − | 1.19171i | 0.215126 | − | 0.976586i | \(-0.430984\pi\) |
0.976586 | − | 0.215126i | \(-0.0690162\pi\) | |||||||
\(138\) | −8.25819 | + | 14.7982i | −0.702984 | + | 1.25971i | ||||
\(139\) | 1.58950 | + | 0.658393i | 0.134820 | + | 0.0558442i | 0.449073 | − | 0.893495i | \(-0.351754\pi\) |
−0.314253 | + | 0.949339i | \(0.601754\pi\) | |||||||
\(140\) | −18.3684 | + | 2.96597i | −1.55242 | + | 0.250670i | ||||
\(141\) | 4.21070 | + | 10.1655i | 0.354605 | + | 0.856091i | ||||
\(142\) | −3.25434 | − | 4.11535i | −0.273098 | − | 0.345353i | ||||
\(143\) | − | 1.11295i | − | 0.0930697i | ||||||
\(144\) | 1.75579 | − | 0.582197i | 0.146315 | − | 0.0485164i | ||||
\(145\) | 35.4737i | 2.94593i | ||||||||
\(146\) | 1.96921 | − | 1.55721i | 0.162973 | − | 0.128876i | ||||
\(147\) | 0.824485 | + | 1.99048i | 0.0680024 | + | 0.164172i | ||||
\(148\) | −10.4086 | + | 14.4173i | −0.855582 | + | 1.18509i | ||||
\(149\) | −5.26139 | − | 2.17934i | −0.431030 | − | 0.178538i | 0.156611 | − | 0.987660i | \(-0.449943\pi\) |
−0.587641 | + | 0.809122i | \(0.699943\pi\) | |||||||
\(150\) | −22.5531 | − | 12.5858i | −1.84146 | − | 1.02763i | ||||
\(151\) | 11.7516 | − | 11.7516i | 0.956334 | − | 0.956334i | −0.0427519 | − | 0.999086i | \(-0.513613\pi\) |
0.999086 | + | 0.0427519i | \(0.0136125\pi\) | |||||||
\(152\) | −0.667844 | − | 15.2433i | −0.0541693 | − | 1.23639i | ||||
\(153\) | −1.40755 | − | 1.40755i | −0.113793 | − | 0.113793i | ||||
\(154\) | −1.03816 | − | 3.65994i | −0.0836571 | − | 0.294926i | ||||
\(155\) | −6.98319 | + | 16.8589i | −0.560903 | + | 1.35414i | ||||
\(156\) | −1.95404 | − | 3.16726i | −0.156448 | − | 0.253584i | ||||
\(157\) | 0.151332 | − | 0.0626837i | 0.0120776 | − | 0.00500270i | −0.376636 | − | 0.926361i | \(-0.622919\pi\) |
0.388714 | + | 0.921358i | \(0.372919\pi\) | |||||||
\(158\) | 0.588085 | − | 5.03358i | 0.0467855 | − | 0.400450i | ||||
\(159\) | −2.35295 | −0.186601 | ||||||||
\(160\) | −18.0121 | + | 12.2323i | −1.42398 | + | 0.967051i | ||||
\(161\) | 15.5654 | 1.22673 | ||||||||
\(162\) | 1.66957 | − | 14.2903i | 0.131173 | − | 1.12275i | ||||
\(163\) | 16.7503 | − | 6.93821i | 1.31199 | − | 0.543443i | 0.386524 | − | 0.922279i | \(-0.373676\pi\) |
0.925464 | + | 0.378837i | \(0.123676\pi\) | |||||||
\(164\) | 20.2206 | − | 12.4751i | 1.57897 | − | 0.974141i | ||||
\(165\) | 3.05037 | − | 7.36424i | 0.237471 | − | 0.573306i | ||||
\(166\) | 1.71543 | + | 6.04761i | 0.133143 | + | 0.469386i | ||||
\(167\) | −14.2208 | − | 14.2208i | −1.10044 | − | 1.10044i | −0.994357 | − | 0.106083i | \(-0.966169\pi\) |
−0.106083 | − | 0.994357i | \(-0.533831\pi\) | |||||||
\(168\) | −9.38024 | − | 8.59280i | −0.723701 | − | 0.662949i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | 20.4599 | + | 11.4177i | 1.56920 | + | 0.875695i | ||||
\(171\) | 2.30478 | + | 0.954670i | 0.176251 | + | 0.0730054i | ||||
\(172\) | −18.6950 | − | 13.4969i | −1.42548 | − | 1.02913i | ||||
\(173\) | 4.49210 | + | 10.8449i | 0.341528 | + | 0.824522i | 0.997562 | + | 0.0697905i | \(0.0222331\pi\) |
−0.656033 | + | 0.754732i | \(0.727767\pi\) | |||||||
\(174\) | −19.0238 | + | 15.0436i | −1.44219 | + | 1.14045i | ||||
\(175\) | 23.7224i | 1.79324i | ||||||||
\(176\) | −2.91154 | − | 3.36772i | −0.219466 | − | 0.253851i | ||||
\(177\) | − | 2.05585i | − | 0.154527i | ||||||
\(178\) | −1.79080 | − | 2.26460i | −0.134226 | − | 0.169739i | ||||
\(179\) | −0.769902 | − | 1.85871i | −0.0575452 | − | 0.138926i | 0.892492 | − | 0.451063i | \(-0.148955\pi\) |
−0.950037 | + | 0.312137i | \(0.898955\pi\) | |||||||
\(180\) | −0.567471 | − | 3.51438i | −0.0422968 | − | 0.261947i | ||||
\(181\) | 15.8311 | + | 6.55747i | 1.17672 | + | 0.487413i | 0.883408 | − | 0.468604i | \(-0.155243\pi\) |
0.293311 | + | 0.956017i | \(0.405243\pi\) | |||||||
\(182\) | −1.66573 | + | 2.98490i | −0.123472 | + | 0.221256i | ||||
\(183\) | 9.23394 | − | 9.23394i | 0.682593 | − | 0.682593i | ||||
\(184\) | 16.5069 | − | 7.70032i | 1.21690 | − | 0.567675i | ||||
\(185\) | 24.1979 | + | 24.1979i | 1.77907 | + | 1.77907i | ||||
\(186\) | −12.0025 | + | 3.40456i | −0.880066 | + | 0.249635i | ||||
\(187\) | −1.83329 | + | 4.42595i | −0.134063 | + | 0.323657i | ||||
\(188\) | 2.72620 | − | 11.5079i | 0.198828 | − | 0.839299i | ||||
\(189\) | −10.5441 | + | 4.36750i | −0.766968 | + | 0.317689i | ||||
\(190\) | −29.1653 | − | 3.40744i | −2.11587 | − | 0.247202i | ||||
\(191\) | −6.79528 | −0.491690 | −0.245845 | − | 0.969309i | \(-0.579065\pi\) | ||||
−0.245845 | + | 0.969309i | \(0.579065\pi\) | |||||||
\(192\) | −14.1985 | − | 4.47205i | −1.02469 | − | 0.322743i | ||||
\(193\) | −11.0760 | −0.797270 | −0.398635 | − | 0.917110i | \(-0.630516\pi\) | ||||
−0.398635 | + | 0.917110i | \(0.630516\pi\) | |||||||
\(194\) | 12.4076 | + | 1.44960i | 0.890810 | + | 0.104075i | ||||
\(195\) | −6.61686 | + | 2.74079i | −0.473843 | + | 0.196272i | ||||
\(196\) | 0.533809 | − | 2.25333i | 0.0381292 | − | 0.160952i | ||||
\(197\) | −6.62366 | + | 15.9909i | −0.471916 | + | 1.13931i | 0.491399 | + | 0.870935i | \(0.336486\pi\) |
−0.963315 | + | 0.268372i | \(0.913514\pi\) | |||||||
\(198\) | 0.700246 | − | 0.198628i | 0.0497643 | − | 0.0141159i | ||||
\(199\) | −3.46024 | − | 3.46024i | −0.245290 | − | 0.245290i | 0.573744 | − | 0.819034i | \(-0.305490\pi\) |
−0.819034 | + | 0.573744i | \(0.805490\pi\) | |||||||
\(200\) | 11.7356 | + | 25.1572i | 0.829833 | + | 1.77888i | ||||
\(201\) | −4.19078 | + | 4.19078i | −0.295594 | + | 0.295594i | ||||
\(202\) | −2.46815 | + | 4.42280i | −0.173658 | + | 0.311187i | ||||
\(203\) | 20.5808 | + | 8.52486i | 1.44449 | + | 0.598328i | ||||
\(204\) | 2.55353 | + | 15.8142i | 0.178783 | + | 1.10722i | ||||
\(205\) | −17.4980 | − | 42.2438i | −1.22211 | − | 2.95043i | ||||
\(206\) | 2.51476 | + | 3.18011i | 0.175212 | + | 0.221569i | ||||
\(207\) | 2.97809i | 0.206992i | ||||||||
\(208\) | −0.289828 | + | 3.98949i | −0.0200960 | + | 0.276621i | ||||
\(209\) | − | 6.00381i | − | 0.415292i | ||||||
\(210\) | −19.2029 | + | 15.1853i | −1.32513 | + | 1.04788i | ||||
\(211\) | −10.2857 | − | 24.8318i | −0.708094 | − | 1.70949i | −0.704709 | − | 0.709496i | \(-0.748923\pi\) |
−0.00338505 | − | 0.999994i | \(-0.501077\pi\) | |||||||
\(212\) | 2.05048 | + | 1.48035i | 0.140827 | + | 0.101671i | ||||
\(213\) | −6.37779 | − | 2.64177i | −0.436999 | − | 0.181011i | ||||
\(214\) | 5.55539 | + | 3.10019i | 0.379759 | + | 0.211925i | ||||
\(215\) | −31.3777 | + | 31.3777i | −2.13994 | + | 2.13994i | ||||
\(216\) | −9.02118 | + | 9.84787i | −0.613813 | + | 0.670063i | ||||
\(217\) | 8.10291 | + | 8.10291i | 0.550061 | + | 0.550061i | ||||
\(218\) | −4.00499 | − | 14.1192i | −0.271252 | − | 0.956276i | ||||
\(219\) | 1.26409 | − | 3.05179i | 0.0854195 | − | 0.206221i | ||||
\(220\) | −7.29144 | + | 4.49844i | −0.491589 | + | 0.303285i | ||||
\(221\) | 3.97676 | − | 1.64723i | 0.267506 | − | 0.110805i | ||||
\(222\) | −2.71502 | + | 23.2387i | −0.182220 | + | 1.55968i | ||||
\(223\) | 1.29866 | 0.0869649 | 0.0434825 | − | 0.999054i | \(-0.486155\pi\) | ||||
0.0434825 | + | 0.999054i | \(0.486155\pi\) | |||||||
\(224\) | 2.76828 | + | 13.3898i | 0.184963 | + | 0.894641i | ||||
\(225\) | −4.53874 | −0.302582 | ||||||||
\(226\) | −0.333119 | + | 2.85126i | −0.0221588 | + | 0.189663i | ||||
\(227\) | 11.0999 | − | 4.59773i | 0.736726 | − | 0.305162i | 0.0174136 | − | 0.999848i | \(-0.494457\pi\) |
0.719313 | + | 0.694686i | \(0.244457\pi\) | |||||||
\(228\) | −10.5410 | − | 17.0858i | −0.698096 | − | 1.13153i | ||||
\(229\) | 0.246834 | − | 0.595909i | 0.0163112 | − | 0.0393788i | −0.915514 | − | 0.402286i | \(-0.868216\pi\) |
0.931825 | + | 0.362907i | \(0.118216\pi\) | |||||||
\(230\) | −9.56576 | − | 33.7233i | −0.630748 | − | 2.22365i | ||||
\(231\) | −3.53948 | − | 3.53948i | −0.232881 | − | 0.232881i | ||||
\(232\) | 26.0429 | − | 1.14100i | 1.70980 | − | 0.0749103i | ||||
\(233\) | 5.41771 | − | 5.41771i | 0.354926 | − | 0.354926i | −0.507013 | − | 0.861939i | \(-0.669250\pi\) |
0.861939 | + | 0.507013i | \(0.169250\pi\) | |||||||
\(234\) | −0.571093 | − | 0.318700i | −0.0373335 | − | 0.0208341i | ||||
\(235\) | −21.0273 | − | 8.70977i | −1.37167 | − | 0.568163i | ||||
\(236\) | −1.29343 | + | 1.79157i | −0.0841951 | + | 0.116621i | ||||
\(237\) | −2.55175 | − | 6.16046i | −0.165754 | − | 0.400165i | ||||
\(238\) | 11.5410 | − | 9.12642i | 0.748094 | − | 0.591578i | ||||
\(239\) | − | 26.0810i | − | 1.68704i | −0.537100 | − | 0.843519i | \(-0.680480\pi\) | ||
0.537100 | − | 0.843519i | \(-0.319520\pi\) | |||||||
\(240\) | −12.8521 | + | 25.6035i | −0.829600 | + | 1.65270i | ||||
\(241\) | − | 25.4468i | − | 1.63917i | −0.572955 | − | 0.819587i | \(-0.694203\pi\) | ||
0.572955 | − | 0.819587i | \(-0.305797\pi\) | |||||||
\(242\) | 8.56266 | + | 10.8281i | 0.550428 | + | 0.696058i | ||||
\(243\) | −1.82353 | − | 4.40239i | −0.116979 | − | 0.282413i | ||||
\(244\) | −13.8564 | + | 2.23741i | −0.887067 | + | 0.143236i | ||||
\(245\) | −4.11729 | − | 1.70544i | −0.263044 | − | 0.108956i | ||||
\(246\) | 15.2340 | − | 27.2985i | 0.971282 | − | 1.74049i | ||||
\(247\) | −3.81448 | + | 3.81448i | −0.242710 | + | 0.242710i | ||||
\(248\) | 12.6016 | + | 4.58444i | 0.800200 | + | 0.291112i | ||||
\(249\) | 5.84857 | + | 5.84857i | 0.370638 | + | 0.370638i | ||||
\(250\) | 25.2124 | − | 7.15160i | 1.59457 | − | 0.452307i | ||||
\(251\) | 1.82222 | − | 4.39924i | 0.115018 | − | 0.277677i | −0.855879 | − | 0.517176i | \(-0.826983\pi\) |
0.970897 | + | 0.239499i | \(0.0769832\pi\) | |||||||
\(252\) | −2.17532 | − | 0.515329i | −0.137032 | − | 0.0324627i | ||||
\(253\) | 6.62166 | − | 2.74278i | 0.416300 | − | 0.172437i | ||||
\(254\) | −12.5904 | − | 1.47097i | −0.789994 | − | 0.0922967i | ||||
\(255\) | 30.8284 | 1.93055 | ||||||||
\(256\) | 9.55971 | + | 12.8301i | 0.597482 | + | 0.801883i | ||||
\(257\) | −12.1526 | −0.758058 | −0.379029 | − | 0.925385i | \(-0.623742\pi\) | ||||
−0.379029 | + | 0.925385i | \(0.623742\pi\) | |||||||
\(258\) | −30.1338 | − | 3.52060i | −1.87605 | − | 0.219183i | ||||
\(259\) | 19.8541 | − | 8.22383i | 1.23367 | − | 0.511004i | ||||
\(260\) | 7.49062 | + | 1.77451i | 0.464549 | + | 0.110051i | ||||
\(261\) | −1.63104 | + | 3.93768i | −0.100959 | + | 0.243736i | ||||
\(262\) | 2.56912 | − | 0.728742i | 0.158721 | − | 0.0450218i | ||||
\(263\) | −9.41772 | − | 9.41772i | −0.580721 | − | 0.580721i | 0.354380 | − | 0.935101i | \(-0.384692\pi\) |
−0.935101 | + | 0.354380i | \(0.884692\pi\) | |||||||
\(264\) | −5.50456 | − | 2.00256i | −0.338782 | − | 0.123249i | ||||
\(265\) | 3.44152 | − | 3.44152i | 0.211411 | − | 0.211411i | ||||
\(266\) | −8.98577 | + | 16.1020i | −0.550953 | + | 0.987279i | ||||
\(267\) | −3.50957 | − | 1.45371i | −0.214782 | − | 0.0889657i | ||||
\(268\) | 6.28867 | − | 1.01544i | 0.384141 | − | 0.0620277i | ||||
\(269\) | −7.66177 | − | 18.4972i | −0.467147 | − | 1.12779i | −0.965403 | − | 0.260762i | \(-0.916026\pi\) |
0.498256 | − | 0.867030i | \(-0.333974\pi\) | |||||||
\(270\) | 15.9423 | + | 20.1602i | 0.970216 | + | 1.22691i | ||||
\(271\) | 1.42738i | 0.0867074i | 0.999060 | + | 0.0433537i | \(0.0138042\pi\) | ||||
−0.999060 | + | 0.0433537i | \(0.986196\pi\) | |||||||
\(272\) | 7.72418 | − | 15.3878i | 0.468347 | − | 0.933024i | ||||
\(273\) | 4.49757i | 0.272205i | ||||||||
\(274\) | −21.8822 | + | 17.3040i | −1.32195 | + | 1.04537i | ||||
\(275\) | 4.18011 | + | 10.0917i | 0.252070 | + | 0.608551i | ||||
\(276\) | 14.0285 | − | 19.4312i | 0.844415 | − | 1.16962i | ||||
\(277\) | 1.21115 | + | 0.501676i | 0.0727712 | + | 0.0301428i | 0.418772 | − | 0.908091i | \(-0.362461\pi\) |
−0.346001 | + | 0.938234i | \(0.612461\pi\) | |||||||
\(278\) | −2.12466 | − | 1.18567i | −0.127429 | − | 0.0711118i | ||||
\(279\) | −1.55031 | + | 1.55031i | −0.0928145 | + | 0.0928145i | ||||
\(280\) | 26.2881 | − | 1.15174i | 1.57102 | − | 0.0688298i | ||||
\(281\) | −9.32591 | − | 9.32591i | −0.556337 | − | 0.556337i | 0.371926 | − | 0.928263i | \(-0.378698\pi\) |
−0.928263 | + | 0.371926i | \(0.878698\pi\) | |||||||
\(282\) | −4.24634 | − | 14.9701i | −0.252866 | − | 0.891457i | ||||
\(283\) | −3.24399 | + | 7.83169i | −0.192835 | + | 0.465546i | −0.990493 | − | 0.137565i | \(-0.956072\pi\) |
0.797657 | + | 0.603111i | \(0.206072\pi\) | |||||||
\(284\) | 3.89587 | + | 6.31474i | 0.231177 | + | 0.374711i | ||||
\(285\) | −35.6946 | + | 14.7852i | −2.11436 | + | 0.875798i | ||||
\(286\) | −0.182646 | + | 1.56332i | −0.0108001 | + | 0.0924410i | ||||
\(287\) | −28.7137 | −1.69492 | ||||||||
\(288\) | −2.56183 | + | 0.529647i | −0.150957 | + | 0.0312097i | ||||
\(289\) | −1.52802 | −0.0898837 | ||||||||
\(290\) | 5.82156 | − | 49.8284i | 0.341854 | − | 2.92603i | ||||
\(291\) | 15.1853 | − | 6.28994i | 0.890175 | − | 0.368723i | ||||
\(292\) | −3.02162 | + | 1.86418i | −0.176827 | + | 0.109093i | ||||
\(293\) | −7.87954 | + | 19.0229i | −0.460327 | + | 1.11133i | 0.507936 | + | 0.861395i | \(0.330409\pi\) |
−0.968263 | + | 0.249934i | \(0.919591\pi\) | |||||||
\(294\) | −0.831464 | − | 2.93126i | −0.0484920 | − | 0.170954i | ||||
\(295\) | 3.00697 | + | 3.00697i | 0.175072 | + | 0.175072i | ||||
\(296\) | 16.9865 | − | 18.5432i | 0.987323 | − | 1.07780i | ||||
\(297\) | −3.71593 | + | 3.71593i | −0.215620 | + | 0.215620i | ||||
\(298\) | 7.03281 | + | 3.92467i | 0.407400 | + | 0.227350i | ||||
\(299\) | −5.94963 | − | 2.46442i | −0.344076 | − | 0.142521i | ||||
\(300\) | 29.6140 | + | 21.3800i | 1.70977 | + | 1.23437i | ||||
\(301\) | 10.6639 | + | 25.7450i | 0.614658 | + | 1.48392i | ||||
\(302\) | −18.4356 | + | 14.5785i | −1.06085 | + | 0.838897i | ||||
\(303\) | 6.66415i | 0.382846i | ||||||||
\(304\) | −1.56348 | + | 21.5212i | −0.0896715 | + | 1.23433i | ||||
\(305\) | 27.0119i | 1.54670i | ||||||||
\(306\) | 1.74613 | + | 2.20812i | 0.0998197 | + | 0.126230i | ||||
\(307\) | −12.6968 | − | 30.6529i | −0.724646 | − | 1.74945i | −0.659659 | − | 0.751565i | \(-0.729299\pi\) |
−0.0649878 | − | 0.997886i | \(-0.520701\pi\) | |||||||
\(308\) | 0.857627 | + | 5.31134i | 0.0488678 | + | 0.302641i | ||||
\(309\) | 4.92839 | + | 2.04141i | 0.280366 | + | 0.116132i | ||||
\(310\) | 12.5757 | − | 22.5350i | 0.714252 | − | 1.27990i | ||||
\(311\) | −12.1470 | + | 12.1470i | −0.688795 | + | 0.688795i | −0.961966 | − | 0.273171i | \(-0.911928\pi\) |
0.273171 | + | 0.961966i | \(0.411928\pi\) | |||||||
\(312\) | 2.22498 | + | 4.76960i | 0.125965 | + | 0.270025i | ||||
\(313\) | 12.6555 | + | 12.6555i | 0.715332 | + | 0.715332i | 0.967646 | − | 0.252314i | \(-0.0811914\pi\) |
−0.252314 | + | 0.967646i | \(0.581191\pi\) | |||||||
\(314\) | −0.222857 | + | 0.0632142i | −0.0125765 | + | 0.00356739i | ||||
\(315\) | −1.64640 | + | 3.97475i | −0.0927639 | + | 0.223952i | ||||
\(316\) | −1.65212 | + | 6.97396i | −0.0929388 | + | 0.392316i | ||||
\(317\) | 1.50822 | − | 0.624725i | 0.0847100 | − | 0.0350880i | −0.339926 | − | 0.940452i | \(-0.610402\pi\) |
0.424636 | + | 0.905364i | \(0.360402\pi\) | |||||||
\(318\) | 3.30509 | + | 0.386141i | 0.185340 | + | 0.0216537i | ||||
\(319\) | 10.2574 | 0.574305 | ||||||||
\(320\) | 27.3083 | − | 14.2263i | 1.52658 | − | 0.795275i | ||||
\(321\) | 8.37071 | 0.467207 | ||||||||
\(322\) | −21.8641 | − | 2.55443i | −1.21844 | − | 0.142353i | ||||
\(323\) | 21.4526 | − | 8.88596i | 1.19366 | − | 0.494428i | ||||
\(324\) | −4.69034 | + | 19.7990i | −0.260575 | + | 1.09994i | ||||
\(325\) | 3.75588 | − | 9.06749i | 0.208339 | − | 0.502974i | ||||
\(326\) | −24.6671 | + | 6.99694i | −1.36619 | + | 0.387525i | ||||
\(327\) | −13.6546 | − | 13.6546i | −0.755098 | − | 0.755098i | ||||
\(328\) | −30.4504 | + | 14.2049i | −1.68134 | + | 0.784332i | ||||
\(329\) | −10.1063 | + | 10.1063i | −0.557181 | + | 0.557181i | ||||
\(330\) | −5.49327 | + | 9.84366i | −0.302395 | + | 0.541876i | ||||
\(331\) | 26.9975 | + | 11.1827i | 1.48392 | + | 0.614658i | 0.969983 | − | 0.243173i | \(-0.0781882\pi\) |
0.513932 | + | 0.857831i | \(0.328188\pi\) | |||||||
\(332\) | −1.41713 | − | 8.77635i | −0.0777749 | − | 0.481665i | ||||
\(333\) | 1.57344 | + | 3.79863i | 0.0862242 | + | 0.208164i | ||||
\(334\) | 17.6416 | + | 22.3092i | 0.965307 | + | 1.22070i | ||||
\(335\) | − | 12.2592i | − | 0.669792i | ||||||
\(336\) | 11.7659 | + | 13.6093i | 0.641882 | + | 0.742451i | ||||
\(337\) | − | 2.62640i | − | 0.143069i | −0.997438 | − | 0.0715344i | \(-0.977210\pi\) | ||
0.997438 | − | 0.0715344i | \(-0.0227896\pi\) | |||||||
\(338\) | 1.10929 | − | 0.877201i | 0.0603373 | − | 0.0477135i | ||||
\(339\) | 1.44543 | + | 3.48958i | 0.0785051 | + | 0.189528i | ||||
\(340\) | −26.8654 | − | 19.3956i | −1.45698 | − | 1.05187i | ||||
\(341\) | 4.87485 | + | 2.01923i | 0.263988 | + | 0.109347i | ||||
\(342\) | −3.08076 | − | 1.71922i | −0.166588 | − | 0.0929649i | ||||
\(343\) | −13.9427 | + | 13.9427i | −0.752835 | + | 0.752835i | ||||
\(344\) | 24.0451 | + | 22.0266i | 1.29643 | + | 1.18760i | ||||
\(345\) | −32.6134 | − | 32.6134i | −1.75585 | − | 1.75585i | ||||
\(346\) | −4.53013 | − | 15.9706i | −0.243541 | − | 0.858584i | ||||
\(347\) | −2.88936 | + | 6.97554i | −0.155109 | + | 0.374467i | −0.982263 | − | 0.187509i | \(-0.939959\pi\) |
0.827154 | + | 0.561976i | \(0.189959\pi\) | |||||||
\(348\) | 29.1907 | − | 18.0092i | 1.56479 | − | 0.965393i | ||||
\(349\) | 28.7845 | − | 11.9229i | 1.54080 | − | 0.638220i | 0.559176 | − | 0.829049i | \(-0.311118\pi\) |
0.981623 | + | 0.190829i | \(0.0611176\pi\) | |||||||
\(350\) | 3.89307 | − | 33.3219i | 0.208093 | − | 1.78113i | ||||
\(351\) | 4.72179 | 0.252030 | ||||||||
\(352\) | 3.53705 | + | 5.20831i | 0.188525 | + | 0.277604i | ||||
\(353\) | −9.30728 | −0.495376 | −0.247688 | − | 0.968840i | \(-0.579671\pi\) | ||||
−0.247688 | + | 0.968840i | \(0.579671\pi\) | |||||||
\(354\) | −0.337384 | + | 2.88776i | −0.0179317 | + | 0.153483i | ||||
\(355\) | 13.1924 | − | 5.46446i | 0.700179 | − | 0.290024i | ||||
\(356\) | 2.14382 | + | 3.47487i | 0.113622 | + | 0.184168i | ||||
\(357\) | 7.40853 | − | 17.8858i | 0.392101 | − | 0.946616i | ||||
\(358\) | 0.776418 | + | 2.73720i | 0.0410350 | + | 0.144665i | ||||
\(359\) | −11.3744 | − | 11.3744i | −0.600318 | − | 0.600318i | 0.340079 | − | 0.940397i | \(-0.389546\pi\) |
−0.940397 | + | 0.340079i | \(0.889546\pi\) | |||||||
\(360\) | 0.220360 | + | 5.02964i | 0.0116140 | + | 0.265085i | ||||
\(361\) | −7.14214 | + | 7.14214i | −0.375902 | + | 0.375902i | ||||
\(362\) | −21.1612 | − | 11.8091i | −1.11221 | − | 0.620670i | ||||
\(363\) | 16.7809 | + | 6.95089i | 0.880771 | + | 0.364827i | ||||
\(364\) | 2.82963 | − | 3.91941i | 0.148313 | − | 0.205433i | ||||
\(365\) | 2.61476 | + | 6.31259i | 0.136863 | + | 0.330416i | ||||
\(366\) | −14.4859 | + | 11.4552i | −0.757191 | + | 0.598771i | ||||
\(367\) | 5.12123i | 0.267326i | 0.991027 | + | 0.133663i | \(0.0426740\pi\) | ||||
−0.991027 | + | 0.133663i | \(0.957326\pi\) | |||||||
\(368\) | −24.4502 | + | 8.10739i | −1.27456 | + | 0.422627i | ||||
\(369\) | − | 5.49372i | − | 0.285991i | ||||||
\(370\) | −30.0187 | − | 37.9609i | −1.56060 | − | 1.97350i | ||||
\(371\) | −1.16963 | − | 2.82373i | −0.0607240 | − | 0.146601i | ||||
\(372\) | 17.4182 | − | 2.81253i | 0.903089 | − | 0.145823i | ||||
\(373\) | 20.7068 | + | 8.57703i | 1.07216 | + | 0.444102i | 0.847751 | − | 0.530394i | \(-0.177956\pi\) |
0.224406 | + | 0.974496i | \(0.427956\pi\) | |||||||
\(374\) | 3.30149 | − | 5.91609i | 0.170716 | − | 0.305914i | ||||
\(375\) | 24.3826 | − | 24.3826i | 1.25911 | − | 1.25911i | ||||
\(376\) | −5.71793 | + | 15.7173i | −0.294880 | + | 0.810557i | ||||
\(377\) | −6.51698 | − | 6.51698i | −0.335642 | − | 0.335642i | ||||
\(378\) | 15.5276 | − | 4.40446i | 0.798652 | − | 0.226541i | ||||
\(379\) | −6.26724 | + | 15.1305i | −0.321927 | + | 0.777200i | 0.677215 | + | 0.735785i | \(0.263186\pi\) |
−0.999142 | + | 0.0414148i | \(0.986814\pi\) | |||||||
\(380\) | 40.4081 | + | 9.57259i | 2.07289 | + | 0.491064i | ||||
\(381\) | −15.4091 | + | 6.38265i | −0.789431 | + | 0.326993i | ||||
\(382\) | 9.54506 | + | 1.11517i | 0.488368 | + | 0.0570571i | ||||
\(383\) | 26.1393 | 1.33565 | 0.667827 | − | 0.744317i | \(-0.267225\pi\) | ||||
0.667827 | + | 0.744317i | \(0.267225\pi\) | |||||||
\(384\) | 19.2102 | + | 8.61182i | 0.980314 | + | 0.439470i | ||||
\(385\) | 10.3540 | 0.527688 | ||||||||
\(386\) | 15.5581 | + | 1.81768i | 0.791884 | + | 0.0925176i | ||||
\(387\) | −4.92572 | + | 2.04030i | −0.250388 | + | 0.103714i | ||||
\(388\) | −17.1905 | − | 4.07239i | −0.872715 | − | 0.206744i | ||||
\(389\) | −6.73588 | + | 16.2619i | −0.341523 | + | 0.824509i | 0.656039 | + | 0.754727i | \(0.272230\pi\) |
−0.997562 | + | 0.0697823i | \(0.977770\pi\) | |||||||
\(390\) | 9.74422 | − | 2.76399i | 0.493418 | − | 0.139960i | ||||
\(391\) | 19.6008 | + | 19.6008i | 0.991256 | + | 0.991256i | ||||
\(392\) | −1.11961 | + | 3.07756i | −0.0565490 | + | 0.155440i | ||||
\(393\) | 2.48456 | − | 2.48456i | 0.125330 | − | 0.125330i | ||||
\(394\) | 11.9283 | − | 21.3748i | 0.600937 | − | 1.07685i | ||||
\(395\) | 12.7428 | + | 5.27826i | 0.641162 | + | 0.265578i | ||||
\(396\) | −1.01620 | + | 0.164087i | −0.0510662 | + | 0.00824570i | ||||
\(397\) | 4.24937 | + | 10.2589i | 0.213270 | + | 0.514879i | 0.993922 | − | 0.110087i | \(-0.0351128\pi\) |
−0.780652 | + | 0.624966i | \(0.785113\pi\) | |||||||
\(398\) | 4.29260 | + | 5.42832i | 0.215169 | + | 0.272097i | ||||
\(399\) | 24.2621i | 1.21462i | ||||||||
\(400\) | −12.3560 | − | 37.2632i | −0.617800 | − | 1.86316i | ||||
\(401\) | 12.6281i | 0.630615i | 0.948990 | + | 0.315307i | \(0.102108\pi\) | ||||
−0.948990 | + | 0.315307i | \(0.897892\pi\) | |||||||
\(402\) | 6.57436 | − | 5.19887i | 0.327899 | − | 0.259296i | ||||
\(403\) | −1.81430 | − | 4.38011i | −0.0903768 | − | 0.218189i | ||||
\(404\) | 4.19273 | − | 5.80748i | 0.208596 | − | 0.288933i | ||||
\(405\) | 36.1768 | + | 14.9849i | 1.79764 | + | 0.744606i | ||||
\(406\) | −27.5101 | − | 15.3520i | −1.36530 | − | 0.761909i | ||||
\(407\) | 6.99697 | − | 6.99697i | 0.346827 | − | 0.346827i | ||||
\(408\) | −0.991586 | − | 22.6326i | −0.0490908 | − | 1.12048i | ||||
\(409\) | −19.1909 | − | 19.1909i | −0.948927 | − | 0.948927i | 0.0498307 | − | 0.998758i | \(-0.484132\pi\) |
−0.998758 | + | 0.0498307i | \(0.984132\pi\) | |||||||
\(410\) | 17.6461 | + | 62.2097i | 0.871477 | + | 3.07232i | ||||
\(411\) | −14.0468 | + | 33.9120i | −0.692878 | + | 1.67276i | ||||
\(412\) | −3.01050 | − | 4.87967i | −0.148317 | − | 0.240404i | ||||
\(413\) | 2.46718 | − | 1.02194i | 0.121402 | − | 0.0502863i | ||||
\(414\) | 0.488733 | − | 4.18320i | 0.0240199 | − | 0.205593i | ||||
\(415\) | −17.1087 | −0.839835 | ||||||||
\(416\) | 1.06182 | − | 5.55631i | 0.0520601 | − | 0.272420i | ||||
\(417\) | −3.20138 | −0.156772 | ||||||||
\(418\) | −0.985282 | + | 8.43331i | −0.0481917 | + | 0.412486i | ||||
\(419\) | 8.07761 | − | 3.34586i | 0.394617 | − | 0.163456i | −0.176546 | − | 0.984292i | \(-0.556492\pi\) |
0.571163 | + | 0.820837i | \(0.306492\pi\) | |||||||
\(420\) | 29.4656 | − | 18.1787i | 1.43777 | − | 0.887031i | ||||
\(421\) | 9.84017 | − | 23.7563i | 0.479580 | − | 1.15781i | −0.480226 | − | 0.877145i | \(-0.659445\pi\) |
0.959806 | − | 0.280664i | \(-0.0905548\pi\) | |||||||
\(422\) | 10.3727 | + | 36.5682i | 0.504936 | + | 1.78011i | ||||
\(423\) | −1.93362 | − | 1.93362i | −0.0940158 | − | 0.0940158i | ||||
\(424\) | −2.63729 | − | 2.41589i | −0.128078 | − | 0.117326i | ||||
\(425\) | −29.8725 | + | 29.8725i | −1.44903 | + | 1.44903i | ||||
\(426\) | 8.52509 | + | 4.75744i | 0.413042 | + | 0.230499i | ||||
\(427\) | 15.6716 | + | 6.49137i | 0.758400 | + | 0.314140i | ||||
\(428\) | −7.29466 | − | 5.26641i | −0.352601 | − | 0.254561i | ||||
\(429\) | 0.792516 | + | 1.91330i | 0.0382630 | + | 0.0923751i | ||||
\(430\) | 49.2243 | − | 38.9256i | 2.37381 | − | 1.87716i | ||||
\(431\) | − | 8.72539i | − | 0.420287i | −0.977671 | − | 0.210144i | \(-0.932607\pi\) | ||
0.977671 | − | 0.210144i | \(-0.0673932\pi\) | |||||||
\(432\) | 14.2878 | − | 12.3524i | 0.687423 | − | 0.594307i | ||||
\(433\) | 34.1791i | 1.64254i | 0.570539 | + | 0.821271i | \(0.306734\pi\) | ||||
−0.570539 | + | 0.821271i | \(0.693266\pi\) | |||||||
\(434\) | −10.0521 | − | 12.7116i | −0.482515 | − | 0.610176i | ||||
\(435\) | −25.2602 | − | 60.9836i | −1.21114 | − | 2.92394i | ||||
\(436\) | 3.30854 | + | 20.4900i | 0.158450 | + | 0.981292i | ||||
\(437\) | −32.0952 | − | 13.2943i | −1.53532 | − | 0.635951i | ||||
\(438\) | −2.27645 | + | 4.07928i | −0.108773 | + | 0.194915i | ||||
\(439\) | 18.4989 | − | 18.4989i | 0.882904 | − | 0.882904i | −0.110925 | − | 0.993829i | \(-0.535381\pi\) |
0.993829 | + | 0.110925i | \(0.0353812\pi\) | |||||||
\(440\) | 10.9802 | − | 5.12218i | 0.523462 | − | 0.244190i | ||||
\(441\) | −0.378617 | − | 0.378617i | −0.0180294 | − | 0.0180294i | ||||
\(442\) | −5.85633 | + | 1.66117i | −0.278557 | + | 0.0790139i | ||||
\(443\) | −0.979017 | + | 2.36356i | −0.0465145 | + | 0.112296i | −0.945429 | − | 0.325828i | \(-0.894357\pi\) |
0.898915 | + | 0.438124i | \(0.144357\pi\) | |||||||
\(444\) | 7.62737 | − | 32.1968i | 0.361979 | − | 1.52799i | ||||
\(445\) | 7.25950 | − | 3.00698i | 0.344133 | − | 0.142545i | ||||
\(446\) | −1.82418 | − | 0.213123i | −0.0863774 | − | 0.0100917i | ||||
\(447\) | 10.5969 | 0.501214 | ||||||||
\(448\) | −1.69110 | − | 19.2623i | −0.0798970 | − | 0.910060i | ||||
\(449\) | −1.05479 | −0.0497786 | −0.0248893 | − | 0.999690i | \(-0.507923\pi\) | ||||
−0.0248893 | + | 0.999690i | \(0.507923\pi\) | |||||||
\(450\) | 6.37538 | + | 0.744850i | 0.300538 | + | 0.0351125i | ||||
\(451\) | −12.2150 | + | 5.05963i | −0.575184 | + | 0.238249i | ||||
\(452\) | 0.935839 | − | 3.95039i | 0.0440182 | − | 0.185811i | ||||
\(453\) | −11.8343 | + | 28.5706i | −0.556026 | + | 1.34237i | ||||
\(454\) | −16.3461 | + | 4.63665i | −0.767161 | + | 0.217609i | ||||
\(455\) | −6.57834 | − | 6.57834i | −0.308397 | − | 0.308397i | ||||
\(456\) | 12.0026 | + | 25.7295i | 0.562074 | + | 1.20490i | ||||
\(457\) | 5.34460 | − | 5.34460i | 0.250010 | − | 0.250010i | −0.570965 | − | 0.820975i | \(-0.693431\pi\) |
0.820975 | + | 0.570965i | \(0.193431\pi\) | |||||||
\(458\) | −0.444512 | + | 0.796542i | −0.0207707 | + | 0.0372200i | ||||
\(459\) | −18.7774 | − | 7.77787i | −0.876456 | − | 0.363040i | ||||
\(460\) | 7.90232 | + | 48.9396i | 0.368448 | + | 2.28182i | ||||
\(461\) | −2.06034 | − | 4.97411i | −0.0959598 | − | 0.231667i | 0.868609 | − | 0.495497i | \(-0.165014\pi\) |
−0.964569 | + | 0.263830i | \(0.915014\pi\) | |||||||
\(462\) | 4.39090 | + | 5.55263i | 0.204283 | + | 0.258332i | ||||
\(463\) | 11.4531i | 0.532273i | 0.963935 | + | 0.266136i | \(0.0857472\pi\) | ||||
−0.963935 | + | 0.266136i | \(0.914253\pi\) | |||||||
\(464\) | −36.7687 | − | 2.67118i | −1.70694 | − | 0.124006i | ||||
\(465\) | − | 33.9552i | − | 1.57463i | ||||||
\(466\) | −8.49913 | + | 6.72094i | −0.393715 | + | 0.311341i | ||||
\(467\) | −14.2974 | − | 34.5169i | −0.661603 | − | 1.59725i | −0.795291 | − | 0.606228i | \(-0.792682\pi\) |
0.133688 | − | 0.991023i | \(-0.457318\pi\) | |||||||
\(468\) | 0.749890 | + | 0.541386i | 0.0346637 | + | 0.0250256i | ||||
\(469\) | −7.11245 | − | 2.94607i | −0.328423 | − | 0.136037i | ||||
\(470\) | 28.1068 | + | 15.6850i | 1.29647 | + | 0.723497i | ||||
\(471\) | −0.215522 | + | 0.215522i | −0.00993073 | + | 0.00993073i | ||||
\(472\) | 2.11084 | − | 2.30428i | 0.0971593 | − | 0.106063i | ||||
\(473\) | 9.07303 | + | 9.07303i | 0.417178 | + | 0.417178i | ||||
\(474\) | 2.57334 | + | 9.07211i | 0.118198 | + | 0.416696i | ||||
\(475\) | 20.2610 | − | 48.9145i | 0.929640 | − | 2.24435i | ||||
\(476\) | −17.7090 | + | 10.9255i | −0.811689 | + | 0.500770i | ||||
\(477\) | 0.540256 | − | 0.223781i | 0.0247366 | − | 0.0102462i | ||||
\(478\) | −4.28013 | + | 36.6349i | −0.195769 | + | 1.67564i | ||||
\(479\) | −29.5369 | −1.34958 | −0.674789 | − | 0.738011i | \(-0.735765\pi\) | ||||
−0.674789 | + | 0.738011i | \(0.735765\pi\) | |||||||
\(480\) | 22.2546 | − | 33.8550i | 1.01578 | − | 1.54526i | ||||
\(481\) | −8.89095 | −0.405393 | ||||||||
\(482\) | −4.17606 | + | 35.7441i | −0.190214 | + | 1.62810i | ||||
\(483\) | −26.7589 | + | 11.0839i | −1.21757 | + | 0.504335i | ||||
\(484\) | −10.2506 | − | 16.6150i | −0.465937 | − | 0.755229i | ||||
\(485\) | −13.0107 | + | 31.4105i | −0.590784 | + | 1.42628i | ||||
\(486\) | 1.83896 | + | 6.48311i | 0.0834170 | + | 0.294080i | ||||
\(487\) | 21.6413 | + | 21.6413i | 0.980661 | + | 0.980661i | 0.999817 | − | 0.0191551i | \(-0.00609763\pi\) |
−0.0191551 | + | 0.999817i | \(0.506098\pi\) | |||||||
\(488\) | 19.8307 | − | 0.868830i | 0.897696 | − | 0.0393301i | ||||
\(489\) | −23.8553 | + | 23.8553i | −1.07877 | + | 1.07877i | ||||
\(490\) | 5.50351 | + | 3.07125i | 0.248623 | + | 0.138745i | ||||
\(491\) | −36.6950 | − | 15.1996i | −1.65602 | − | 0.685947i | −0.658259 | − | 0.752792i | \(-0.728707\pi\) |
−0.997763 | + | 0.0668450i | \(0.978707\pi\) | |||||||
\(492\) | −25.8785 | + | 35.8450i | −1.16669 | + | 1.61602i | ||||
\(493\) | 15.1815 | + | 36.6515i | 0.683742 | + | 1.65070i | ||||
\(494\) | 5.98404 | − | 4.73205i | 0.269235 | − | 0.212905i | ||||
\(495\) | 1.98100i | 0.0890393i | ||||||||
\(496\) | −16.9485 | − | 8.50761i | −0.761012 | − | 0.382003i | ||||
\(497\) | − | 8.96705i | − | 0.402227i | ||||||
\(498\) | −7.25545 | − | 9.17506i | −0.325124 | − | 0.411144i | ||||
\(499\) | −2.51735 | − | 6.07743i | −0.112692 | − | 0.272063i | 0.857464 | − | 0.514544i | \(-0.172039\pi\) |
−0.970156 | + | 0.242481i | \(0.922039\pi\) | |||||||
\(500\) | −36.5884 | + | 5.90797i | −1.63628 | + | 0.264212i | ||||
\(501\) | 34.5738 | + | 14.3209i | 1.54464 | + | 0.639812i | ||||
\(502\) | −3.28156 | + | 5.88038i | −0.146463 | + | 0.262454i | ||||
\(503\) | −0.484062 | + | 0.484062i | −0.0215833 | + | 0.0215833i | −0.717816 | − | 0.696233i | \(-0.754858\pi\) |
0.696233 | + | 0.717816i | \(0.254858\pi\) | |||||||
\(504\) | 2.97101 | + | 1.08085i | 0.132339 | + | 0.0481450i | ||||
\(505\) | −9.74727 | − | 9.74727i | −0.433748 | − | 0.433748i | ||||
\(506\) | −9.75129 | + | 2.76599i | −0.433498 | + | 0.122963i | ||||
\(507\) | 0.712084 | − | 1.71912i | 0.0316248 | − | 0.0763489i | ||||
\(508\) | 17.4439 | + | 4.13242i | 0.773947 | + | 0.183346i | ||||
\(509\) | −6.03847 | + | 2.50121i | −0.267650 | + | 0.110864i | −0.512473 | − | 0.858704i | \(-0.671270\pi\) |
0.244822 | + | 0.969568i | \(0.421270\pi\) | |||||||
\(510\) | −43.3034 | − | 5.05923i | −1.91751 | − | 0.224026i | ||||
\(511\) | 4.29076 | 0.189812 | ||||||||
\(512\) | −11.3226 | − | 19.5908i | −0.500392 | − | 0.865799i | ||||
\(513\) | 25.4716 | 1.12460 | ||||||||
\(514\) | 17.0703 | + | 1.99436i | 0.752937 | + | 0.0879673i | ||||
\(515\) | −10.1943 | + | 4.22262i | −0.449215 | + | 0.186071i | ||||
\(516\) | 41.7499 | + | 9.89047i | 1.83794 | + | 0.435404i | ||||
\(517\) | −2.51848 | + | 6.08015i | −0.110763 | + | 0.267405i | ||||
\(518\) | −29.2378 | + | 8.29344i | −1.28464 | + | 0.364393i | ||||
\(519\) | −15.4450 | − | 15.4450i | −0.677959 | − | 0.677959i | ||||
\(520\) | −10.2306 | − | 3.72187i | −0.448640 | − | 0.163215i | ||||
\(521\) | 22.1589 | − | 22.1589i | 0.970801 | − | 0.970801i | −0.0287851 | − | 0.999586i | \(-0.509164\pi\) |
0.999586 | + | 0.0287851i | \(0.00916385\pi\) | |||||||
\(522\) | 2.93726 | − | 5.26343i | 0.128561 | − | 0.230374i | ||||
\(523\) | −11.2156 | − | 4.64567i | −0.490425 | − | 0.203141i | 0.123745 | − | 0.992314i | \(-0.460509\pi\) |
−0.614171 | + | 0.789173i | \(0.710509\pi\) | |||||||
\(524\) | −3.72833 | + | 0.602017i | −0.162873 | + | 0.0262992i | ||||
\(525\) | −16.8923 | − | 40.7817i | −0.737241 | − | 1.77986i | ||||
\(526\) | 11.6832 | + | 14.7742i | 0.509410 | + | 0.644187i | ||||
\(527\) | 20.4072i | 0.888953i | ||||||||
\(528\) | 7.40340 | + | 3.71626i | 0.322192 | + | 0.161729i | ||||
\(529\) | − | 18.4715i | − | 0.803107i | ||||||
\(530\) | −5.39896 | + | 4.26938i | −0.234516 | + | 0.185450i | ||||
\(531\) | 0.195525 | + | 0.472039i | 0.00848505 | + | 0.0204847i | ||||
\(532\) | 15.2644 | − | 21.1432i | 0.661797 | − | 0.916675i | ||||
\(533\) | 10.9753 | + | 4.54614i | 0.475395 | + | 0.196915i | ||||
\(534\) | 4.69118 | + | 2.61792i | 0.203007 | + | 0.113289i | ||||
\(535\) | −12.2433 | + | 12.2433i | −0.529326 | + | 0.529326i | ||||
\(536\) | −9.00008 | + | 0.394314i | −0.388744 | + | 0.0170318i | ||||
\(537\) | 2.64711 | + | 2.64711i | 0.114231 | + | 0.114231i | ||||
\(538\) | 7.72662 | + | 27.2396i | 0.333118 | + | 1.17438i | ||||
\(539\) | −0.493137 | + | 1.19054i | −0.0212409 | + | 0.0512801i | ||||
\(540\) | −19.0850 | − | 30.9345i | −0.821287 | − | 1.33121i | ||||
\(541\) | −34.4096 | + | 14.2529i | −1.47938 | + | 0.612781i | −0.968977 | − | 0.247152i | \(-0.920505\pi\) |
−0.510407 | + | 0.859933i | \(0.670505\pi\) | |||||||
\(542\) | 0.234247 | − | 2.00499i | 0.0100618 | − | 0.0861216i | ||||
\(543\) | −31.8852 | −1.36832 | ||||||||
\(544\) | −13.3751 | + | 20.3471i | −0.573454 | + | 0.872373i | ||||
\(545\) | 39.9434 | 1.71099 | ||||||||
\(546\) | 0.738094 | − | 6.31756i | 0.0315875 | − | 0.270366i | ||||
\(547\) | −24.3257 | + | 10.0761i | −1.04009 | + | 0.430821i | −0.836346 | − | 0.548202i | \(-0.815312\pi\) |
−0.203748 | + | 0.979023i | \(0.565312\pi\) | |||||||
\(548\) | 33.5768 | − | 20.7151i | 1.43433 | − | 0.884906i | ||||
\(549\) | −1.24198 | + | 2.99840i | −0.0530063 | + | 0.127968i | ||||
\(550\) | −4.21549 | − | 14.8614i | −0.179749 | − | 0.633691i | ||||
\(551\) | −35.1558 | − | 35.1558i | −1.49769 | − | 1.49769i | ||||
\(552\) | −22.8941 | + | 24.9921i | −0.974437 | + | 1.06373i | ||||
\(553\) | 6.12460 | − | 6.12460i | 0.260444 | − | 0.260444i | ||||
\(554\) | −1.61893 | − | 0.903446i | −0.0687817 | − | 0.0383838i | ||||
\(555\) | −58.8301 | − | 24.3682i | −2.49720 | − | 1.03437i | ||||
\(556\) | 2.78985 | + | 2.01414i | 0.118316 | + | 0.0854186i | ||||
\(557\) | −13.5475 | − | 32.7065i | −0.574025 | − | 1.38582i | −0.898102 | − | 0.439788i | \(-0.855054\pi\) |
0.324076 | − | 0.946031i | \(-0.394946\pi\) | |||||||
\(558\) | 2.43207 | − | 1.92323i | 0.102958 | − | 0.0814170i | ||||
\(559\) | − | 11.5290i | − | 0.487624i | ||||||
\(560\) | −37.1149 | − | 2.69632i | −1.56839 | − | 0.113940i | ||||
\(561\) | − | 8.91421i | − | 0.376358i | ||||||
\(562\) | 11.5693 | + | 14.6302i | 0.488020 | + | 0.617137i | ||||
\(563\) | 8.08370 | + | 19.5158i | 0.340687 | + | 0.822492i | 0.997647 | + | 0.0685660i | \(0.0218424\pi\) |
−0.656959 | + | 0.753926i | \(0.728158\pi\) | |||||||
\(564\) | 3.50792 | + | 21.7248i | 0.147710 | + | 0.914778i | ||||
\(565\) | −7.21816 | − | 2.98986i | −0.303670 | − | 0.125784i | ||||
\(566\) | 5.84196 | − | 10.4685i | 0.245556 | − | 0.440023i | ||||
\(567\) | 17.3877 | − | 17.3877i | 0.730213 | − | 0.730213i | ||||
\(568\) | −4.43606 | − | 9.50941i | −0.186133 | − | 0.399006i | ||||
\(569\) | −10.5932 | − | 10.5932i | −0.444089 | − | 0.444089i | 0.449294 | − | 0.893384i | \(-0.351675\pi\) |
−0.893384 | + | 0.449294i | \(0.851675\pi\) | |||||||
\(570\) | 52.5651 | − | 14.9103i | 2.20171 | − | 0.624524i | ||||
\(571\) | −15.9412 | + | 38.4855i | −0.667119 | + | 1.61057i | 0.119289 | + | 0.992860i | \(0.461938\pi\) |
−0.786408 | + | 0.617707i | \(0.788062\pi\) | |||||||
\(572\) | 0.513111 | − | 2.16596i | 0.0214542 | − | 0.0905632i | ||||
\(573\) | 11.6819 | − | 4.83881i | 0.488020 | − | 0.202144i | ||||
\(574\) | 40.3330 | + | 4.71219i | 1.68347 | + | 0.196683i | ||||
\(575\) | 63.2043 | 2.63580 | ||||||||
\(576\) | 3.68541 | − | 0.323554i | 0.153559 | − | 0.0134814i | ||||
\(577\) | −21.8039 | −0.907707 | −0.453854 | − | 0.891076i | \(-0.649951\pi\) | ||||
−0.453854 | + | 0.891076i | \(0.649951\pi\) | |||||||
\(578\) | 2.14635 | + | 0.250763i | 0.0892764 | + | 0.0104304i | ||||
\(579\) | 19.0411 | − | 7.88707i | 0.791320 | − | 0.327775i | ||||
\(580\) | −16.3546 | + | 69.0366i | −0.679089 | + | 2.86659i | ||||
\(581\) | −4.11149 | + | 9.92602i | −0.170573 | + | 0.411801i | ||||
\(582\) | −22.3623 | + | 6.34318i | −0.926949 | + | 0.262933i | ||||
\(583\) | −0.995136 | − | 0.995136i | −0.0412143 | − | 0.0412143i | ||||
\(584\) | 4.55028 | − | 2.12267i | 0.188292 | − | 0.0878366i | ||||
\(585\) | 1.25862 | − | 1.25862i | 0.0520373 | − | 0.0520373i | ||||
\(586\) | 14.1899 | − | 25.4276i | 0.586179 | − | 1.05040i | ||||
\(587\) | 20.2671 | + | 8.39492i | 0.836514 | + | 0.346495i | 0.759478 | − | 0.650533i | \(-0.225454\pi\) |
0.0770358 | + | 0.997028i | \(0.475454\pi\) | |||||||
\(588\) | 0.686876 | + | 4.25387i | 0.0283263 | + | 0.175427i | ||||
\(589\) | −9.78723 | − | 23.6285i | −0.403276 | − | 0.973593i | ||||
\(590\) | −3.73029 | − | 4.71723i | −0.153574 | − | 0.194205i | ||||
\(591\) | − | 32.2070i | − | 1.32482i | ||||||
\(592\) | −26.9034 | + | 23.2592i | −1.10572 | + | 0.955947i | ||||
\(593\) | 43.4009i | 1.78226i | 0.453748 | + | 0.891130i | \(0.350087\pi\) | ||||
−0.453748 | + | 0.891130i | \(0.649913\pi\) | |||||||
\(594\) | 5.82944 | − | 4.60980i | 0.239185 | − | 0.189142i | ||||
\(595\) | 15.3245 | + | 36.9965i | 0.628242 | + | 1.51671i | ||||
\(596\) | −9.23463 | − | 6.66698i | −0.378265 | − | 0.273090i | ||||
\(597\) | 8.41257 | + | 3.48460i | 0.344303 | + | 0.142615i | ||||
\(598\) | 7.95277 | + | 4.43806i | 0.325213 | + | 0.181486i | ||||
\(599\) | 4.39676 | − | 4.39676i | 0.179647 | − | 0.179647i | −0.611555 | − | 0.791202i | \(-0.709456\pi\) |
0.791202 | + | 0.611555i | \(0.209456\pi\) | |||||||
\(600\) | −38.0890 | − | 34.8915i | −1.55498 | − | 1.42444i | ||||
\(601\) | 9.78203 | + | 9.78203i | 0.399017 | + | 0.399017i | 0.877886 | − | 0.478869i | \(-0.158953\pi\) |
−0.478869 | + | 0.877886i | \(0.658953\pi\) | |||||||
\(602\) | −10.7542 | − | 37.9130i | −0.438308 | − | 1.54522i | ||||
\(603\) | 0.563665 | − | 1.36081i | 0.0229542 | − | 0.0554163i | ||||
\(604\) | 28.2882 | − | 17.4523i | 1.15103 | − | 0.710126i | ||||
\(605\) | −34.7112 | + | 14.3778i | −1.41121 | + | 0.584542i | ||||
\(606\) | 1.09365 | − | 9.36086i | 0.0444265 | − | 0.380259i | ||||
\(607\) | 14.7199 | 0.597463 | 0.298732 | − | 0.954337i | \(-0.403436\pi\) | ||||
0.298732 | + | 0.954337i | \(0.403436\pi\) | |||||||
\(608\) | 5.72799 | − | 29.9734i | 0.232301 | − | 1.21558i | ||||
\(609\) | −41.4514 | −1.67970 | ||||||||
\(610\) | 4.43291 | − | 37.9425i | 0.179483 | − | 1.53625i | ||||
\(611\) | 5.46308 | − | 2.26288i | 0.221013 | − | 0.0915465i | ||||
\(612\) | −2.09035 | − | 3.38821i | −0.0844973 | − | 0.136960i | ||||
\(613\) | 13.3004 | − | 32.1100i | 0.537198 | − | 1.29691i | −0.389473 | − | 0.921038i | \(-0.627343\pi\) |
0.926671 | − | 0.375873i | \(-0.122657\pi\) | |||||||
\(614\) | 12.8043 | + | 45.1405i | 0.516739 | + | 1.82172i | ||||
\(615\) | 60.1623 | + | 60.1623i | 2.42598 | + | 2.42598i | ||||
\(616\) | −0.333033 | − | 7.60136i | −0.0134183 | − | 0.306268i | ||||
\(617\) | −24.4134 | + | 24.4134i | −0.982845 | + | 0.982845i | −0.999855 | − | 0.0170102i | \(-0.994585\pi\) |
0.0170102 | + | 0.999855i | \(0.494585\pi\) | |||||||
\(618\) | −6.58770 | − | 3.67628i | −0.264996 | − | 0.147882i | ||||
\(619\) | −10.4636 | − | 4.33415i | −0.420566 | − | 0.174204i | 0.162356 | − | 0.986732i | \(-0.448091\pi\) |
−0.582922 | + | 0.812528i | \(0.698091\pi\) | |||||||
\(620\) | −21.3628 | + | 29.5902i | −0.857951 | + | 1.18837i | ||||
\(621\) | 11.6365 | + | 28.0929i | 0.466955 | + | 1.12733i | ||||
\(622\) | 19.0559 | − | 15.0690i | 0.764071 | − | 0.604212i | ||||
\(623\) | − | 4.93439i | − | 0.197692i | ||||||
\(624\) | −2.34260 | − | 7.06480i | −0.0937790 | − | 0.282818i | ||||
\(625\) | 22.2531i | 0.890122i | ||||||||
\(626\) | −15.6998 | − | 19.8536i | −0.627490 | − | 0.793509i | ||||
\(627\) | 4.27522 | + | 10.3213i | 0.170736 | + | 0.412192i | ||||
\(628\) | 0.323412 | − | 0.0522216i | 0.0129055 | − | 0.00208387i | ||||
\(629\) | 35.3572 | + | 14.6454i | 1.40978 | + | 0.583952i | ||||
\(630\) | 2.96492 | − | 5.31298i | 0.118125 | − | 0.211674i | ||||
\(631\) | 26.3930 | − | 26.3930i | 1.05069 | − | 1.05069i | 0.0520440 | − | 0.998645i | \(-0.483426\pi\) |
0.998645 | − | 0.0520440i | \(-0.0165736\pi\) | |||||||
\(632\) | 3.46515 | − | 9.52491i | 0.137836 | − | 0.378881i | ||||
\(633\) | 35.3646 | + | 35.3646i | 1.40562 | + | 1.40562i | ||||
\(634\) | −2.22106 | + | 0.630013i | −0.0882095 | + | 0.0250210i | ||||
\(635\) | 13.2024 | − | 31.8735i | 0.523923 | − | 1.26486i | ||||
\(636\) | −4.57916 | − | 1.08479i | −0.181576 | − | 0.0430149i | ||||
\(637\) | 1.06971 | − | 0.443089i | 0.0423835 | − | 0.0175558i | ||||
\(638\) | −14.4082 | − | 1.68334i | −0.570425 | − | 0.0666440i | ||||
\(639\) | 1.71564 | 0.0678697 | ||||||||
\(640\) | −40.6936 | + | 15.5016i | −1.60856 | + | 0.612753i | ||||
\(641\) | −17.0168 | −0.672124 | −0.336062 | − | 0.941840i | \(-0.609095\pi\) | ||||
−0.336062 | + | 0.941840i | \(0.609095\pi\) | |||||||
\(642\) | −11.7580 | − | 1.37371i | −0.464051 | − | 0.0542161i | ||||
\(643\) | 15.0453 | − | 6.23197i | 0.593329 | − | 0.245765i | −0.0657529 | − | 0.997836i | \(-0.520945\pi\) |
0.659082 | + | 0.752071i | \(0.270945\pi\) | |||||||
\(644\) | 30.2924 | + | 7.17622i | 1.19369 | + | 0.282783i | ||||
\(645\) | 31.5985 | − | 76.2856i | 1.24419 | − | 3.00374i | ||||
\(646\) | −31.5919 | + | 8.96118i | −1.24297 | + | 0.352573i | ||||
\(647\) | 8.66377 | + | 8.66377i | 0.340608 | + | 0.340608i | 0.856596 | − | 0.515988i | \(-0.172575\pi\) |
−0.515988 | + | 0.856596i | \(0.672575\pi\) | |||||||
\(648\) | 9.83753 | − | 27.0411i | 0.386455 | − | 1.06228i | ||||
\(649\) | 0.869481 | − | 0.869481i | 0.0341301 | − | 0.0341301i | ||||
\(650\) | −6.76379 | + | 12.1204i | −0.265298 | + | 0.475400i | ||||
\(651\) | −19.6999 | − | 8.15995i | −0.772098 | − | 0.319814i | ||||
\(652\) | 35.7972 | − | 5.78021i | 1.40193 | − | 0.226370i | ||||
\(653\) | −0.127816 | − | 0.308574i | −0.00500181 | − | 0.0120754i | 0.921359 | − | 0.388713i | \(-0.127080\pi\) |
−0.926361 | + | 0.376638i | \(0.877080\pi\) | |||||||
\(654\) | 16.9392 | + | 21.4208i | 0.662373 | + | 0.837621i | ||||
\(655\) | 7.26805i | 0.283986i | ||||||||
\(656\) | 45.1036 | − | 14.9558i | 1.76100 | − | 0.583925i | ||||
\(657\) | 0.820940i | 0.0320279i | ||||||||
\(658\) | 15.8545 | − | 12.5374i | 0.618073 | − | 0.488760i | ||||
\(659\) | 8.21012 | + | 19.8210i | 0.319821 | + | 0.772116i | 0.999263 | + | 0.0383865i | \(0.0122218\pi\) |
−0.679442 | + | 0.733729i | \(0.737778\pi\) | |||||||
\(660\) | 9.33161 | − | 12.9255i | 0.363233 | − | 0.503124i | ||||
\(661\) | −32.2857 | − | 13.3732i | −1.25577 | − | 0.520157i | −0.347161 | − | 0.937806i | \(-0.612854\pi\) |
−0.908609 | + | 0.417649i | \(0.862854\pi\) | |||||||
\(662\) | −36.0871 | − | 20.1385i | −1.40256 | − | 0.782703i | ||||
\(663\) | −5.66358 | + | 5.66358i | −0.219955 | + | 0.219955i | ||||
\(664\) | 0.550298 | + | 12.5604i | 0.0213557 | + | 0.487436i | ||||
\(665\) | −35.4868 | − | 35.4868i | −1.37612 | − | 1.37612i | ||||
\(666\) | −1.58676 | − | 5.59400i | −0.0614858 | − | 0.216763i | ||||
\(667\) | 22.7131 | − | 54.8342i | 0.879453 | − | 2.12319i | ||||
\(668\) | −21.1193 | − | 34.2320i | −0.817132 | − | 1.32447i | ||||
\(669\) | −2.23256 | + | 0.924758i | −0.0863158 | + | 0.0357532i | ||||
\(670\) | −2.01185 | + | 17.2200i | −0.0777246 | + | 0.665267i | ||||
\(671\) | 7.81065 | 0.301527 | ||||||||
\(672\) | −14.2936 | − | 21.0474i | −0.551389 | − | 0.811921i | ||||
\(673\) | 18.1367 | 0.699118 | 0.349559 | − | 0.936914i | \(-0.386331\pi\) | ||||
0.349559 | + | 0.936914i | \(0.386331\pi\) | |||||||
\(674\) | −0.431016 | + | 3.68919i | −0.0166021 | + | 0.142102i | ||||
\(675\) | −42.8148 | + | 17.7345i | −1.64794 | + | 0.682599i | ||||
\(676\) | −1.70213 | + | 1.05012i | −0.0654664 | + | 0.0403894i | ||||
\(677\) | −7.40180 | + | 17.8695i | −0.284474 | + | 0.686782i | −0.999929 | − | 0.0118771i | \(-0.996219\pi\) |
0.715455 | + | 0.698659i | \(0.246219\pi\) | |||||||
\(678\) | −1.45767 | − | 5.13888i | −0.0559814 | − | 0.197358i | ||||
\(679\) | 15.0969 | + | 15.0969i | 0.579364 | + | 0.579364i | ||||
\(680\) | 34.5537 | + | 31.6531i | 1.32508 | + | 1.21384i | ||||
\(681\) | −15.8081 | + | 15.8081i | −0.605769 | + | 0.605769i | ||||
\(682\) | −6.51613 | − | 3.63634i | −0.249516 | − | 0.139243i | ||||
\(683\) | −8.92826 | − | 3.69821i | −0.341630 | − | 0.141508i | 0.205271 | − | 0.978705i | \(-0.434193\pi\) |
−0.546901 | + | 0.837197i | \(0.684193\pi\) | |||||||
\(684\) | 4.04527 | + | 2.92050i | 0.154675 | + | 0.111668i | ||||
\(685\) | −29.0557 | − | 70.1466i | −1.11016 | − | 2.68016i | ||||
\(686\) | 21.8729 | − | 17.2966i | 0.835110 | − | 0.660388i | ||||
\(687\) | 1.20021i | 0.0457908i | ||||||||
\(688\) | −30.1604 | − | 34.8859i | −1.14986 | − | 1.33001i | ||||
\(689\) | 1.26451i | 0.0481739i | ||||||||
\(690\) | 40.4585 | + | 51.1629i | 1.54023 | + | 1.94774i | ||||
\(691\) | 10.3677 | + | 25.0299i | 0.394407 | + | 0.952183i | 0.988968 | + | 0.148132i | \(0.0473262\pi\) |
−0.594560 | + | 0.804051i | \(0.702674\pi\) | |||||||
\(692\) | 3.74236 | + | 23.1767i | 0.142263 | + | 0.881045i | ||||
\(693\) | 1.14932 | + | 0.476065i | 0.0436591 | + | 0.0180842i | ||||
\(694\) | 5.20332 | − | 9.32408i | 0.197515 | − | 0.353937i | ||||
\(695\) | 4.68248 | − | 4.68248i | 0.177616 | − | 0.177616i | ||||
\(696\) | −43.9585 | + | 20.5063i | −1.66624 | + | 0.777289i | ||||
\(697\) | −36.1578 | − | 36.1578i | −1.36958 | − | 1.36958i | ||||
\(698\) | −42.3891 | + | 12.0239i | −1.60445 | + | 0.455109i | ||||
\(699\) | −5.45584 | + | 13.1716i | −0.206359 | + | 0.498194i | ||||
\(700\) | −10.9369 | + | 46.1670i | −0.413375 | + | 1.74495i | ||||
\(701\) | −9.24030 | + | 3.82746i | −0.349001 | + | 0.144561i | −0.550296 | − | 0.834970i | \(-0.685485\pi\) |
0.201295 | + | 0.979531i | \(0.435485\pi\) | |||||||
\(702\) | −6.63250 | − | 0.774890i | −0.250328 | − | 0.0292463i | ||||
\(703\) | −47.9621 | −1.80893 | ||||||||
\(704\) | −4.11362 | − | 7.89636i | −0.155038 | − | 0.297605i | ||||
\(705\) | 42.3505 | 1.59501 | ||||||||
\(706\) | 13.0736 | + | 1.52741i | 0.492030 | + | 0.0574849i | ||||
\(707\) | −7.99751 | + | 3.31268i | −0.300777 | + | 0.124586i | ||||
\(708\) | 0.947818 | − | 4.00095i | 0.0356212 | − | 0.150365i | ||||
\(709\) | 1.33995 | − | 3.23494i | 0.0503231 | − | 0.121491i | −0.896719 | − | 0.442601i | \(-0.854056\pi\) |
0.947042 | + | 0.321110i | \(0.104056\pi\) | |||||||
\(710\) | −19.4276 | + | 5.51072i | −0.729104 | + | 0.206813i | ||||
\(711\) | 1.17180 | + | 1.17180i | 0.0439460 | + | 0.0439460i | ||||
\(712\) | −2.44107 | − | 5.23283i | −0.0914831 | − | 0.196109i | ||||
\(713\) | 21.5888 | − | 21.5888i | 0.808508 | − | 0.808508i | ||||
\(714\) | −13.3417 | + | 23.9076i | −0.499300 | + | 0.894720i | ||||
\(715\) | −3.95764 | − | 1.63931i | −0.148007 | − | 0.0613067i | ||||
\(716\) | −0.641403 | − | 3.97225i | −0.0239704 | − | 0.148450i | ||||
\(717\) | 18.5718 | + | 44.8364i | 0.693578 | + | 1.67445i | ||||
\(718\) | 14.1105 | + | 17.8438i | 0.526600 | + | 0.665925i | ||||
\(719\) | 48.8750i | 1.82273i | 0.411599 | + | 0.911365i | \(0.364971\pi\) | ||||
−0.411599 | + | 0.911365i | \(0.635029\pi\) | |||||||
\(720\) | 0.515880 | − | 7.10109i | 0.0192257 | − | 0.264642i | ||||
\(721\) | 6.92922i | 0.258058i | ||||||||
\(722\) | 11.2044 | − | 8.86018i | 0.416983 | − | 0.329742i | ||||
\(723\) | 18.1203 | + | 43.7462i | 0.673900 | + | 1.62694i | ||||
\(724\) | 27.7863 | + | 20.0605i | 1.03267 | + | 0.745541i | ||||
\(725\) | 83.5696 | + | 34.6157i | 3.10370 | + | 1.28559i | ||||
\(726\) | −22.4308 | − | 12.5175i | −0.832485 | − | 0.464570i | ||||
\(727\) | −7.65102 | + | 7.65102i | −0.283761 | + | 0.283761i | −0.834607 | − | 0.550846i | \(-0.814305\pi\) |
0.550846 | + | 0.834607i | \(0.314305\pi\) | |||||||
\(728\) | −4.61789 | + | 5.04107i | −0.171150 | + | 0.186834i | ||||
\(729\) | −15.3115 | − | 15.3115i | −0.567092 | − | 0.567092i | ||||
\(730\) | −2.63689 | − | 9.29615i | −0.0975958 | − | 0.344066i | ||||
\(731\) | −18.9909 | + | 45.8480i | −0.702403 | + | 1.69575i | ||||
\(732\) | 22.2277 | − | 13.7133i | 0.821559 | − | 0.506859i | ||||
\(733\) | 20.4823 | − | 8.48405i | 0.756532 | − | 0.313366i | 0.0291281 | − | 0.999576i | \(-0.490727\pi\) |
0.727403 | + | 0.686210i | \(0.240727\pi\) | |||||||
\(734\) | 0.840443 | − | 7.19359i | 0.0310213 | − | 0.265520i | ||||
\(735\) | 8.29255 | 0.305875 | ||||||||
\(736\) | 35.6747 | − | 7.37561i | 1.31499 | − | 0.271868i | ||||
\(737\) | −3.54482 | −0.130575 | ||||||||
\(738\) | −0.901571 | + | 7.71680i | −0.0331873 | + | 0.284059i | ||||
\(739\) | 22.5444 | − | 9.33820i | 0.829309 | − | 0.343511i | 0.0726801 | − | 0.997355i | \(-0.476845\pi\) |
0.756629 | + | 0.653844i | \(0.226845\pi\) | |||||||
\(740\) | 35.9363 | + | 58.2485i | 1.32105 | + | 2.14126i | ||||
\(741\) | 3.84133 | − | 9.27379i | 0.141115 | − | 0.340681i | ||||
\(742\) | 1.17953 | + | 4.15832i | 0.0433018 | + | 0.152657i | ||||
\(743\) | 29.9631 | + | 29.9631i | 1.09924 | + | 1.09924i | 0.994500 | + | 0.104740i | \(0.0334011\pi\) |
0.104740 | + | 0.994500i | \(0.466599\pi\) | |||||||
\(744\) | −24.9281 | + | 1.09216i | −0.913910 | + | 0.0400405i | ||||
\(745\) | −15.4994 | + | 15.4994i | −0.567854 | + | 0.567854i | ||||
\(746\) | −27.6784 | − | 15.4460i | −1.01338 | − | 0.565518i | ||||
\(747\) | −1.89912 | − | 0.786640i | −0.0694851 | − | 0.0287817i | ||||
\(748\) | −5.60835 | + | 7.76829i | −0.205062 | + | 0.284037i | ||||
\(749\) | 4.16099 | + | 10.0455i | 0.152039 | + | 0.367055i | ||||
\(750\) | −38.2506 | + | 30.2478i | −1.39672 | + | 1.10449i | ||||
\(751\) | 13.5387i | 0.494034i | 0.969011 | + | 0.247017i | \(0.0794504\pi\) | ||||
−0.969011 | + | 0.247017i | \(0.920550\pi\) | |||||||
\(752\) | 10.6111 | − | 21.1391i | 0.386947 | − | 0.770862i | ||||
\(753\) | 8.86040i | 0.322891i | ||||||||
\(754\) | 8.08464 | + | 10.2236i | 0.294425 | + | 0.372323i | ||||
\(755\) | −24.4792 | − | 59.0980i | −0.890889 | − | 2.15080i | ||||
\(756\) | −22.5338 | + | 3.63855i | −0.819545 | + | 0.132333i | ||||
\(757\) | −37.5185 | − | 15.5407i | −1.36363 | − | 0.564835i | −0.423578 | − | 0.905859i | \(-0.639226\pi\) |
−0.940055 | + | 0.341024i | \(0.889226\pi\) | |||||||
\(758\) | 11.2864 | − | 20.2246i | 0.409940 | − | 0.734592i | ||||
\(759\) | −9.43035 | + | 9.43035i | −0.342300 | + | 0.342300i | ||||
\(760\) | −55.1886 | − | 20.0776i | −2.00190 | − | 0.728290i | ||||
\(761\) | 23.6761 | + | 23.6761i | 0.858259 | + | 0.858259i | 0.991133 | − | 0.132874i | \(-0.0424206\pi\) |
−0.132874 | + | 0.991133i | \(0.542421\pi\) | |||||||
\(762\) | 22.6920 | − | 6.43667i | 0.822043 | − | 0.233176i | ||||
\(763\) | 9.59902 | − | 23.1741i | 0.347508 | − | 0.838958i | ||||
\(764\) | −13.2245 | − | 3.13287i | −0.478447 | − | 0.113343i | ||||
\(765\) | −7.07845 | + | 2.93199i | −0.255922 | + | 0.106006i | ||||
\(766\) | −36.7167 | − | 4.28970i | −1.32663 | − | 0.154993i | ||||
\(767\) | −1.10484 | −0.0398934 | ||||||||
\(768\) | −25.5704 | − | 15.2492i | −0.922694 | − | 0.550260i | ||||
\(769\) | 2.61071 | 0.0941445 | 0.0470722 | − | 0.998891i | \(-0.485011\pi\) | ||||
0.0470722 | + | 0.998891i | \(0.485011\pi\) | |||||||