Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [684,2,Mod(211,684)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(684, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 6, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("684.211");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 684 = 2^{2} \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 684.cc (of order \(18\), degree \(6\), 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: | \(5.46176749826\) |
Analytic rank: | \(0\) |
Dimension: | \(696\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 535.53 | ||
Character | \(\chi\) | \(=\) | 684.535 |
Dual form | 684.2.cc.a.583.53 |
$q$-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 \(\left(\mathbb{Z}/684\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(343\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.240514 | − | 1.39361i | −0.170069 | − | 0.985432i | ||||
\(3\) | −0.452786 | − | 1.67182i | −0.261416 | − | 0.965226i | ||||
\(4\) | −1.88431 | + | 0.670367i | −0.942153 | + | 0.335184i | ||||
\(5\) | 0.332406 | + | 0.278922i | 0.148657 | + | 0.124738i | 0.714083 | − | 0.700061i | \(-0.246844\pi\) |
−0.565426 | + | 0.824799i | \(0.691288\pi\) | |||||||
\(6\) | −2.22097 | + | 1.03310i | −0.906706 | + | 0.421763i | ||||
\(7\) | 4.01911 | + | 2.32043i | 1.51908 | + | 0.877041i | 0.999748 | + | 0.0224691i | \(0.00715273\pi\) |
0.519333 | + | 0.854572i | \(0.326181\pi\) | |||||||
\(8\) | 1.38743 | + | 2.46476i | 0.490532 | + | 0.871423i | ||||
\(9\) | −2.58997 | + | 1.51395i | −0.863323 | + | 0.504651i | ||||
\(10\) | 0.308760 | − | 0.530330i | 0.0976386 | − | 0.167705i | ||||
\(11\) | − | 5.96875i | − | 1.79965i | −0.436255 | − | 0.899823i | \(-0.643696\pi\) | ||
0.436255 | − | 0.899823i | \(-0.356304\pi\) | |||||||
\(12\) | 1.97392 | + | 2.84669i | 0.569822 | + | 0.821768i | ||||
\(13\) | −1.73383 | − | 2.06630i | −0.480877 | − | 0.573087i | 0.469996 | − | 0.882669i | \(-0.344255\pi\) |
−0.950873 | + | 0.309581i | \(0.899811\pi\) | |||||||
\(14\) | 2.26713 | − | 6.15917i | 0.605916 | − | 1.64611i | ||||
\(15\) | 0.315799 | − | 0.682016i | 0.0815388 | − | 0.176096i | ||||
\(16\) | 3.10122 | − | 2.52635i | 0.775304 | − | 0.631589i | ||||
\(17\) | −3.25326 | − | 2.72981i | −0.789031 | − | 0.662076i | 0.156474 | − | 0.987682i | \(-0.449987\pi\) |
−0.945505 | + | 0.325606i | \(0.894432\pi\) | |||||||
\(18\) | 2.73279 | + | 3.24528i | 0.644125 | + | 0.764921i | ||||
\(19\) | −4.34079 | − | 0.396889i | −0.995846 | − | 0.0910525i | ||||
\(20\) | −0.813335 | − | 0.302740i | −0.181867 | − | 0.0676947i | ||||
\(21\) | 2.05955 | − | 7.76989i | 0.449431 | − | 1.69553i | ||||
\(22\) | −8.31812 | + | 1.43557i | −1.77343 | + | 0.306065i | ||||
\(23\) | −0.538381 | + | 1.47919i | −0.112260 | + | 0.308432i | −0.983082 | − | 0.183167i | \(-0.941365\pi\) |
0.870822 | + | 0.491599i | \(0.163587\pi\) | |||||||
\(24\) | 3.49242 | − | 3.43555i | 0.712887 | − | 0.701279i | ||||
\(25\) | −0.835544 | − | 4.73861i | −0.167109 | − | 0.947722i | ||||
\(26\) | −2.46260 | + | 2.91326i | −0.482956 | + | 0.571337i | ||||
\(27\) | 3.70376 | + | 3.64447i | 0.712789 | + | 0.701378i | ||||
\(28\) | −9.12877 | − | 1.67813i | −1.72518 | − | 0.317136i | ||||
\(29\) | 3.12929 | − | 8.59766i | 0.581095 | − | 1.59655i | −0.205217 | − | 0.978716i | \(-0.565790\pi\) |
0.786312 | − | 0.617829i | \(-0.211988\pi\) | |||||||
\(30\) | −1.02642 | − | 0.276066i | −0.187398 | − | 0.0504025i | ||||
\(31\) | 6.07729 | 1.09151 | 0.545756 | − | 0.837944i | \(-0.316242\pi\) | ||||
0.545756 | + | 0.837944i | \(0.316242\pi\) | |||||||
\(32\) | −4.26664 | − | 3.71426i | −0.754243 | − | 0.656595i | ||||
\(33\) | −9.97868 | + | 2.70257i | −1.73707 | + | 0.470457i | ||||
\(34\) | −3.02184 | + | 5.19034i | −0.518241 | + | 0.890135i | ||||
\(35\) | 0.688757 | + | 1.89234i | 0.116421 | + | 0.319864i | ||||
\(36\) | 3.86539 | − | 4.58898i | 0.644231 | − | 0.764831i | ||||
\(37\) | − | 0.892086i | − | 0.146658i | −0.997308 | − | 0.0733290i | \(-0.976638\pi\) | ||
0.997308 | − | 0.0733290i | \(-0.0233623\pi\) | |||||||
\(38\) | 0.490915 | + | 6.14484i | 0.0796369 | + | 0.996824i | ||||
\(39\) | −2.66942 | + | 3.83424i | −0.427450 | + | 0.613970i | ||||
\(40\) | −0.226283 | + | 1.20629i | −0.0357785 | + | 0.190731i | ||||
\(41\) | −7.14059 | − | 1.25908i | −1.11517 | − | 0.196635i | −0.414452 | − | 0.910071i | \(-0.636027\pi\) |
−0.700720 | + | 0.713436i | \(0.747138\pi\) | |||||||
\(42\) | −11.3236 | − | 1.00144i | −1.74726 | − | 0.154526i | ||||
\(43\) | 1.64570 | + | 4.52151i | 0.250966 | + | 0.689524i | 0.999646 | + | 0.0265926i | \(0.00846568\pi\) |
−0.748680 | + | 0.662931i | \(0.769312\pi\) | |||||||
\(44\) | 4.00126 | + | 11.2469i | 0.603212 | + | 1.69554i | ||||
\(45\) | −1.28320 | − | 0.219151i | −0.191288 | − | 0.0326692i | ||||
\(46\) | 2.19090 | + | 0.394527i | 0.323031 | + | 0.0581699i | ||||
\(47\) | −0.143516 | + | 0.394308i | −0.0209340 | + | 0.0575158i | −0.949719 | − | 0.313102i | \(-0.898632\pi\) |
0.928785 | + | 0.370618i | \(0.120854\pi\) | |||||||
\(48\) | −5.62780 | − | 4.04078i | −0.812303 | − | 0.583236i | ||||
\(49\) | 7.26882 | + | 12.5900i | 1.03840 | + | 1.79857i | ||||
\(50\) | −6.40282 | + | 2.30413i | −0.905495 | + | 0.325853i | ||||
\(51\) | −3.09072 | + | 6.67488i | −0.432787 | + | 0.934671i | ||||
\(52\) | 4.65224 | + | 2.73123i | 0.645149 | + | 0.378754i | ||||
\(53\) | 4.31829 | − | 0.761432i | 0.593163 | − | 0.104591i | 0.130995 | − | 0.991383i | \(-0.458183\pi\) |
0.462168 | + | 0.886792i | \(0.347072\pi\) | |||||||
\(54\) | 4.18816 | − | 6.03815i | 0.569937 | − | 0.821689i | ||||
\(55\) | 1.66482 | − | 1.98405i | 0.224484 | − | 0.267529i | ||||
\(56\) | −0.143054 | + | 13.1256i | −0.0191164 | + | 1.75398i | ||||
\(57\) | 1.30192 | + | 7.43673i | 0.172444 | + | 0.985019i | ||||
\(58\) | −12.7344 | − | 2.29316i | −1.67211 | − | 0.301106i | ||||
\(59\) | 6.60048 | − | 2.40238i | 0.859309 | − | 0.312763i | 0.125479 | − | 0.992096i | \(-0.459953\pi\) |
0.733830 | + | 0.679333i | \(0.237731\pi\) | |||||||
\(60\) | −0.137860 | + | 1.49683i | −0.0177977 | + | 0.193240i | ||||
\(61\) | −4.16354 | + | 3.49363i | −0.533087 | + | 0.447313i | −0.869166 | − | 0.494521i | \(-0.835344\pi\) |
0.336079 | + | 0.941834i | \(0.390899\pi\) | |||||||
\(62\) | −1.46168 | − | 8.46938i | −0.185633 | − | 1.07561i | ||||
\(63\) | −13.9224 | + | 0.0748949i | −1.75406 | + | 0.00943587i | ||||
\(64\) | −4.15005 | + | 6.83938i | −0.518756 | + | 0.854922i | ||||
\(65\) | − | 1.17045i | − | 0.145177i | ||||||
\(66\) | 6.16635 | + | 13.2564i | 0.759025 | + | 1.63175i | ||||
\(67\) | −2.24861 | − | 12.7525i | −0.274711 | − | 1.55797i | −0.739877 | − | 0.672742i | \(-0.765116\pi\) |
0.465165 | − | 0.885224i | \(-0.345995\pi\) | |||||||
\(68\) | 7.96011 | + | 2.96291i | 0.965305 | + | 0.359306i | ||||
\(69\) | 2.71671 | + | 0.230320i | 0.327053 | + | 0.0277273i | ||||
\(70\) | 2.47154 | − | 1.41500i | 0.295405 | − | 0.169124i | ||||
\(71\) | 1.15362 | − | 6.54251i | 0.136910 | − | 0.776453i | −0.836601 | − | 0.547812i | \(-0.815461\pi\) |
0.973511 | − | 0.228641i | \(-0.0734282\pi\) | |||||||
\(72\) | −7.32494 | − | 4.28313i | −0.863253 | − | 0.504772i | ||||
\(73\) | −12.4248 | + | 4.52227i | −1.45422 | + | 0.529292i | −0.943766 | − | 0.330615i | \(-0.892744\pi\) |
−0.510451 | + | 0.859907i | \(0.670522\pi\) | |||||||
\(74\) | −1.24322 | + | 0.214559i | −0.144521 | + | 0.0249420i | ||||
\(75\) | −7.54378 | + | 3.54246i | −0.871081 | + | 0.409048i | ||||
\(76\) | 8.44544 | − | 2.16207i | 0.968758 | − | 0.248006i | ||||
\(77\) | 13.8501 | − | 23.9891i | 1.57836 | − | 2.73381i | ||||
\(78\) | 5.98547 | + | 2.79795i | 0.677722 | + | 0.316805i | ||||
\(79\) | 8.27663 | + | 6.94491i | 0.931193 | + | 0.781364i | 0.976031 | − | 0.217630i | \(-0.0698327\pi\) |
−0.0448380 | + | 0.998994i | \(0.514277\pi\) | |||||||
\(80\) | 1.73552 | + | 0.0252211i | 0.194037 | + | 0.00281980i | ||||
\(81\) | 4.41588 | − | 7.84219i | 0.490654 | − | 0.871355i | ||||
\(82\) | −0.0372512 | + | 10.2540i | −0.00411371 | + | 1.13237i | ||||
\(83\) | 5.03383 | + | 2.90628i | 0.552534 | + | 0.319006i | 0.750144 | − | 0.661275i | \(-0.229984\pi\) |
−0.197609 | + | 0.980281i | \(0.563318\pi\) | |||||||
\(84\) | 1.32785 | + | 16.0215i | 0.144881 | + | 1.74809i | ||||
\(85\) | −0.320000 | − | 1.81481i | −0.0347089 | − | 0.196844i | ||||
\(86\) | 5.90542 | − | 3.38095i | 0.636797 | − | 0.364577i | ||||
\(87\) | −15.7906 | − | 1.33872i | −1.69294 | − | 0.143525i | ||||
\(88\) | 14.7115 | − | 8.28125i | 1.56825 | − | 0.882784i | ||||
\(89\) | −0.739108 | + | 2.03068i | −0.0783453 | + | 0.215252i | −0.972682 | − | 0.232144i | \(-0.925426\pi\) |
0.894336 | + | 0.447395i | \(0.147648\pi\) | |||||||
\(90\) | 0.00321544 | + | 1.84099i | 0.000338937 | + | 0.194057i | ||||
\(91\) | −2.17374 | − | 12.3279i | −0.227870 | − | 1.29231i | ||||
\(92\) | 0.0228738 | − | 3.14816i | 0.00238476 | − | 0.328218i | ||||
\(93\) | −2.75171 | − | 10.1601i | −0.285339 | − | 1.05356i | ||||
\(94\) | 0.584030 | + | 0.105169i | 0.0602381 | + | 0.0108474i | ||||
\(95\) | −1.33221 | − | 1.34267i | −0.136681 | − | 0.137755i | ||||
\(96\) | −4.27771 | + | 8.81483i | −0.436592 | + | 0.899660i | ||||
\(97\) | −0.175847 | − | 0.0310066i | −0.0178545 | − | 0.00314824i | 0.164714 | − | 0.986341i | \(-0.447330\pi\) |
−0.182568 | + | 0.983193i | \(0.558441\pi\) | |||||||
\(98\) | 15.7973 | − | 13.1580i | 1.59576 | − | 1.32916i | ||||
\(99\) | 9.03641 | + | 15.4589i | 0.908194 | + | 1.55368i | ||||
\(100\) | 4.75103 | + | 8.36886i | 0.475103 | + | 0.836886i | ||||
\(101\) | 1.14418 | + | 6.48897i | 0.113850 | + | 0.645677i | 0.987313 | + | 0.158786i | \(0.0507579\pi\) |
−0.873463 | + | 0.486891i | \(0.838131\pi\) | |||||||
\(102\) | 10.0456 | + | 2.70186i | 0.994658 | + | 0.267524i | ||||
\(103\) | 0.118321 | + | 0.204938i | 0.0116585 | + | 0.0201932i | 0.871796 | − | 0.489869i | \(-0.162956\pi\) |
−0.860137 | + | 0.510063i | \(0.829622\pi\) | |||||||
\(104\) | 2.68734 | − | 7.14031i | 0.263516 | − | 0.700165i | ||||
\(105\) | 2.85180 | − | 2.00830i | 0.278307 | − | 0.195990i | ||||
\(106\) | −2.09975 | − | 5.83489i | −0.203946 | − | 0.566734i | ||||
\(107\) | 1.30539 | + | 2.26100i | 0.126197 | + | 0.218579i | 0.922200 | − | 0.386713i | \(-0.126390\pi\) |
−0.796003 | + | 0.605292i | \(0.793056\pi\) | |||||||
\(108\) | −9.42215 | − | 4.38441i | −0.906647 | − | 0.421890i | ||||
\(109\) | −5.07299 | − | 0.894505i | −0.485904 | − | 0.0856780i | −0.0746711 | − | 0.997208i | \(-0.523791\pi\) |
−0.411233 | + | 0.911530i | \(0.634902\pi\) | |||||||
\(110\) | −3.16541 | − | 1.84291i | −0.301810 | − | 0.175715i | ||||
\(111\) | −1.49141 | + | 0.403924i | −0.141558 | + | 0.0383388i | ||||
\(112\) | 18.3264 | − | 2.95753i | 1.73168 | − | 0.279460i | ||||
\(113\) | 8.53904 | + | 4.93002i | 0.803285 | + | 0.463777i | 0.844619 | − | 0.535368i | \(-0.179827\pi\) |
−0.0413332 | + | 0.999145i | \(0.513161\pi\) | |||||||
\(114\) | 10.0508 | − | 3.60302i | 0.941342 | − | 0.337454i | ||||
\(115\) | −0.591539 | + | 0.341525i | −0.0551613 | + | 0.0318474i | ||||
\(116\) | −0.132952 | + | 18.2984i | −0.0123443 | + | 1.69896i | ||||
\(117\) | 7.61884 | + | 2.72671i | 0.704362 | + | 0.252084i | ||||
\(118\) | −4.93549 | − | 8.62069i | −0.454349 | − | 0.793599i | ||||
\(119\) | −6.74086 | − | 18.5204i | −0.617934 | − | 1.69776i | ||||
\(120\) | 2.11915 | − | 0.167885i | 0.193451 | − | 0.0153258i | ||||
\(121\) | −24.6260 | −2.23873 | ||||||||
\(122\) | 5.87015 | + | 4.96209i | 0.531459 | + | 0.449247i | ||||
\(123\) | 1.12821 | + | 12.5079i | 0.101727 | + | 1.12780i | ||||
\(124\) | −11.4515 | + | 4.07401i | −1.02837 | + | 0.365857i | ||||
\(125\) | 2.12878 | − | 3.68715i | 0.190403 | − | 0.329788i | ||||
\(126\) | 3.45291 | + | 19.3844i | 0.307610 | + | 1.72690i | ||||
\(127\) | 2.61234 | + | 0.950815i | 0.231808 | + | 0.0843712i | 0.455313 | − | 0.890332i | \(-0.349528\pi\) |
−0.223505 | + | 0.974703i | \(0.571750\pi\) | |||||||
\(128\) | 10.5296 | + | 4.13859i | 0.930692 | + | 0.365803i | ||||
\(129\) | 6.81401 | − | 4.79859i | 0.599940 | − | 0.422492i | ||||
\(130\) | −1.63116 | + | 0.281511i | −0.143062 | + | 0.0246901i | ||||
\(131\) | −6.51228 | − | 17.8923i | −0.568981 | − | 1.56326i | −0.806099 | − | 0.591781i | \(-0.798425\pi\) |
0.237118 | − | 0.971481i | \(-0.423797\pi\) | |||||||
\(132\) | 16.9912 | − | 11.7818i | 1.47889 | − | 1.02548i | ||||
\(133\) | −16.5252 | − | 11.6677i | −1.43291 | − | 1.01171i | ||||
\(134\) | −17.2312 | + | 6.20085i | −1.48855 | + | 0.535672i | ||||
\(135\) | 0.214632 | + | 2.24450i | 0.0184726 | + | 0.193176i | ||||
\(136\) | 2.21463 | − | 11.8059i | 0.189903 | − | 1.01235i | ||||
\(137\) | 1.34342 | − | 1.12726i | 0.114776 | − | 0.0963086i | −0.583593 | − | 0.812046i | \(-0.698354\pi\) |
0.698369 | + | 0.715737i | \(0.253909\pi\) | |||||||
\(138\) | −0.332431 | − | 3.84143i | −0.0282984 | − | 0.327004i | ||||
\(139\) | 1.21091 | + | 1.44310i | 0.102708 | + | 0.122402i | 0.814950 | − | 0.579532i | \(-0.196765\pi\) |
−0.712242 | + | 0.701934i | \(0.752320\pi\) | |||||||
\(140\) | −2.56639 | − | 3.10403i | −0.216900 | − | 0.262339i | ||||
\(141\) | 0.724195 | + | 0.0613965i | 0.0609882 | + | 0.00517052i | ||||
\(142\) | −9.39518 | − | 0.0341312i | −0.788426 | − | 0.00286422i | ||||
\(143\) | −12.3332 | + | 10.3488i | −1.03135 | + | 0.865409i | ||||
\(144\) | −4.20727 | + | 11.2383i | −0.350606 | + | 0.936523i | ||||
\(145\) | 3.43827 | − | 1.98509i | 0.285533 | − | 0.164853i | ||||
\(146\) | 9.29064 | + | 16.2277i | 0.768899 | + | 1.34302i | ||||
\(147\) | 17.7569 | − | 17.8527i | 1.46457 | − | 1.47247i | ||||
\(148\) | 0.598025 | + | 1.68096i | 0.0491574 | + | 0.138174i | ||||
\(149\) | −2.28542 | + | 12.9613i | −0.187229 | + | 1.06183i | 0.735828 | + | 0.677168i | \(0.236793\pi\) |
−0.923058 | + | 0.384662i | \(0.874318\pi\) | |||||||
\(150\) | 6.75120 | + | 9.66109i | 0.551233 | + | 0.788824i | ||||
\(151\) | −2.01776 | − | 3.49487i | −0.164203 | − | 0.284409i | 0.772169 | − | 0.635418i | \(-0.219172\pi\) |
−0.936372 | + | 0.351009i | \(0.885839\pi\) | |||||||
\(152\) | −5.04433 | − | 11.2497i | −0.409149 | − | 0.912467i | ||||
\(153\) | 12.5586 | + | 2.14483i | 1.01531 | + | 0.173400i | ||||
\(154\) | −36.7626 | − | 13.5319i | −2.96241 | − | 1.09043i | ||||
\(155\) | 2.02013 | + | 1.69509i | 0.162261 | + | 0.136153i | ||||
\(156\) | 2.45966 | − | 9.01437i | 0.196930 | − | 0.721727i | ||||
\(157\) | 11.3497 | + | 9.52357i | 0.905808 | + | 0.760063i | 0.971317 | − | 0.237789i | \(-0.0764226\pi\) |
−0.0655087 | + | 0.997852i | \(0.520867\pi\) | |||||||
\(158\) | 7.68786 | − | 13.2048i | 0.611614 | − | 1.05051i | ||||
\(159\) | −3.22824 | − | 6.87465i | −0.256016 | − | 0.545195i | ||||
\(160\) | −0.382269 | − | 2.42470i | −0.0302210 | − | 0.191690i | ||||
\(161\) | −5.59617 | + | 4.69574i | −0.441040 | + | 0.370076i | ||||
\(162\) | −11.9911 | − | 4.26787i | −0.942106 | − | 0.335315i | ||||
\(163\) | 7.17649 | + | 4.14335i | 0.562106 | + | 0.324532i | 0.753991 | − | 0.656885i | \(-0.228126\pi\) |
−0.191884 | + | 0.981418i | \(0.561460\pi\) | |||||||
\(164\) | 14.2991 | − | 2.41433i | 1.11657 | − | 0.188527i | ||||
\(165\) | −4.07078 | − | 1.88492i | −0.316910 | − | 0.146741i | ||||
\(166\) | 2.83952 | − | 7.71420i | 0.220389 | − | 0.598738i | ||||
\(167\) | 20.9204 | + | 7.61440i | 1.61887 | + | 0.589220i | 0.983166 | − | 0.182714i | \(-0.0584883\pi\) |
0.635702 | + | 0.771934i | \(0.280711\pi\) | |||||||
\(168\) | 22.0084 | − | 5.70392i | 1.69798 | − | 0.440067i | ||||
\(169\) | 0.994008 | − | 5.63730i | 0.0764621 | − | 0.433638i | ||||
\(170\) | −2.45218 | + | 0.882444i | −0.188073 | + | 0.0676804i | ||||
\(171\) | 11.8434 | − | 5.54383i | 0.905687 | − | 0.423947i | ||||
\(172\) | −6.13207 | − | 7.41669i | −0.467566 | − | 0.565517i | ||||
\(173\) | 0.840674 | + | 0.148233i | 0.0639152 | + | 0.0112700i | 0.205514 | − | 0.978654i | \(-0.434113\pi\) |
−0.141599 | + | 0.989924i | \(0.545224\pi\) | |||||||
\(174\) | 1.93223 | + | 22.3280i | 0.146482 | + | 1.69268i | ||||
\(175\) | 7.63748 | − | 20.9838i | 0.577339 | − | 1.58623i | ||||
\(176\) | −15.0792 | − | 18.5104i | −1.13664 | − | 1.39527i | ||||
\(177\) | −7.00495 | − | 9.94705i | −0.526524 | − | 0.747666i | ||||
\(178\) | 3.00775 | + | 0.541621i | 0.225440 | + | 0.0405962i | ||||
\(179\) | −5.55286 | + | 9.61784i | −0.415040 | + | 0.718871i | −0.995433 | − | 0.0954660i | \(-0.969566\pi\) |
0.580392 | + | 0.814337i | \(0.302899\pi\) | |||||||
\(180\) | 2.56485 | − | 0.447265i | 0.191172 | − | 0.0333372i | ||||
\(181\) | 8.14504 | + | 9.70689i | 0.605416 | + | 0.721507i | 0.978490 | − | 0.206295i | \(-0.0661405\pi\) |
−0.373074 | + | 0.927802i | \(0.621696\pi\) | |||||||
\(182\) | −16.6575 | + | 5.99439i | −1.23473 | + | 0.444334i | ||||
\(183\) | 7.72591 | + | 5.37883i | 0.571116 | + | 0.397615i | ||||
\(184\) | −4.39281 | + | 0.725300i | −0.323842 | + | 0.0534698i | ||||
\(185\) | 0.248822 | − | 0.296535i | 0.0182938 | − | 0.0218017i | ||||
\(186\) | −13.4975 | + | 6.27847i | −0.989681 | + | 0.460360i | ||||
\(187\) | −16.2935 | + | 19.4179i | −1.19150 | + | 1.41998i | ||||
\(188\) | 0.00609747 | − | 0.839206i | 0.000444704 | − | 0.0612054i | ||||
\(189\) | 6.42908 | + | 23.2418i | 0.467647 | + | 1.69060i | ||||
\(190\) | −1.55075 | + | 2.17951i | −0.112503 | + | 0.158118i | ||||
\(191\) | 17.6333 | − | 10.1806i | 1.27590 | − | 0.736643i | 0.299810 | − | 0.953999i | \(-0.403077\pi\) |
0.976092 | + | 0.217356i | \(0.0697433\pi\) | |||||||
\(192\) | 13.3133 | + | 3.84137i | 0.960804 | + | 0.277227i | ||||
\(193\) | −0.726996 | − | 0.128189i | −0.0523303 | − | 0.00922725i | 0.147422 | − | 0.989074i | \(-0.452903\pi\) |
−0.199752 | + | 0.979846i | \(0.564014\pi\) | |||||||
\(194\) | −0.000917363 | 0.252520i | −6.58628e−5 | 0.0181299i | ||||||
\(195\) | −1.95679 | + | 0.529964i | −0.140128 | + | 0.0379515i | ||||
\(196\) | −22.1366 | − | 18.8506i | −1.58118 | − | 1.34647i | ||||
\(197\) | −5.64150 | − | 9.77137i | −0.401940 | − | 0.696181i | 0.592020 | − | 0.805923i | \(-0.298331\pi\) |
−0.993960 | + | 0.109742i | \(0.964997\pi\) | |||||||
\(198\) | 19.3703 | − | 16.3113i | 1.37659 | − | 1.15920i | ||||
\(199\) | 17.1480 | + | 20.4362i | 1.21559 | + | 1.44868i | 0.857099 | + | 0.515152i | \(0.172264\pi\) |
0.358492 | + | 0.933533i | \(0.383291\pi\) | |||||||
\(200\) | 10.5203 | − | 8.63392i | 0.743894 | − | 0.610510i | ||||
\(201\) | −20.3018 | + | 9.53343i | −1.43198 | + | 0.672436i | ||||
\(202\) | 8.76791 | − | 3.15523i | 0.616908 | − | 0.222001i | ||||
\(203\) | 32.5273 | − | 27.2936i | 2.28297 | − | 1.91564i | ||||
\(204\) | 1.34924 | − | 14.6494i | 0.0944654 | − | 1.02567i | ||||
\(205\) | −2.02239 | − | 2.41019i | −0.141250 | − | 0.168335i | ||||
\(206\) | 0.257146 | − | 0.214184i | 0.0179162 | − | 0.0149229i | ||||
\(207\) | −0.845035 | − | 4.64614i | −0.0587340 | − | 0.322929i | ||||
\(208\) | −10.5972 | − | 2.02776i | −0.734781 | − | 0.140600i | ||||
\(209\) | −2.36893 | + | 25.9091i | −0.163862 | + | 1.79217i | ||||
\(210\) | −3.48470 | − | 3.49128i | −0.240467 | − | 0.240921i | ||||
\(211\) | 7.56637 | − | 2.75393i | 0.520890 | − | 0.189589i | −0.0681759 | − | 0.997673i | \(-0.521718\pi\) |
0.589066 | + | 0.808085i | \(0.299496\pi\) | |||||||
\(212\) | −7.62655 | + | 4.32961i | −0.523793 | + | 0.297359i | ||||
\(213\) | −11.4603 | + | 1.03371i | −0.785244 | + | 0.0708286i | ||||
\(214\) | 2.83699 | − | 2.36301i | 0.193933 | − | 0.161532i | ||||
\(215\) | −0.714109 | + | 1.96200i | −0.0487018 | + | 0.133807i | ||||
\(216\) | −3.84400 | + | 14.1853i | −0.261551 | + | 0.965190i | ||||
\(217\) | 24.4253 | + | 14.1019i | 1.65810 | + | 0.957302i | ||||
\(218\) | −0.0264649 | + | 7.28492i | −0.00179243 | + | 0.493397i | ||||
\(219\) | 13.1862 | + | 18.7245i | 0.891042 | + | 1.26528i | ||||
\(220\) | −1.80698 | + | 4.85459i | −0.121826 | + | 0.327297i | ||||
\(221\) | 11.4552i | 0.770561i | ||||||||
\(222\) | 0.921618 | + | 1.98129i | 0.0618550 | + | 0.132976i | ||||
\(223\) | 10.7100 | − | 3.89812i | 0.717195 | − | 0.261038i | 0.0424603 | − | 0.999098i | \(-0.486480\pi\) |
0.674734 | + | 0.738061i | \(0.264258\pi\) | |||||||
\(224\) | −8.52940 | − | 24.8285i | −0.569894 | − | 1.65892i | ||||
\(225\) | 9.33807 | + | 11.0079i | 0.622538 | + | 0.733858i | ||||
\(226\) | 4.81677 | − | 13.0858i | 0.320407 | − | 0.870458i | ||||
\(227\) | −2.07609 | − | 3.59589i | −0.137795 | − | 0.238667i | 0.788867 | − | 0.614564i | \(-0.210668\pi\) |
−0.926662 | + | 0.375897i | \(0.877335\pi\) | |||||||
\(228\) | −7.43857 | − | 13.1403i | −0.492631 | − | 0.870238i | ||||
\(229\) | 0.337627 | − | 0.584788i | 0.0223110 | − | 0.0386439i | −0.854654 | − | 0.519197i | \(-0.826231\pi\) |
0.876965 | + | 0.480554i | \(0.159564\pi\) | |||||||
\(230\) | 0.618227 | + | 0.742234i | 0.0407647 | + | 0.0489415i | ||||
\(231\) | −46.3765 | − | 12.2930i | −3.05135 | − | 0.808817i | ||||
\(232\) | 25.5328 | − | 4.21575i | 1.67631 | − | 0.276777i | ||||
\(233\) | 0.594184 | − | 3.36979i | 0.0389263 | − | 0.220762i | −0.959139 | − | 0.282935i | \(-0.908692\pi\) |
0.998065 | + | 0.0621729i | \(0.0198030\pi\) | |||||||
\(234\) | 1.96753 | − | 11.2735i | 0.128621 | − | 0.736973i | ||||
\(235\) | −0.157687 | + | 0.0910406i | −0.0102864 | + | 0.00593884i | ||||
\(236\) | −10.8268 | + | 8.95156i | −0.704767 | + | 0.582697i | ||||
\(237\) | 7.86311 | − | 16.9816i | 0.510764 | − | 1.10307i | ||||
\(238\) | −24.1889 | + | 13.8486i | −1.56793 | + | 0.897669i | ||||
\(239\) | −19.9044 | + | 11.4918i | −1.28751 | + | 0.743344i | −0.978209 | − | 0.207620i | \(-0.933428\pi\) |
−0.309300 | + | 0.950964i | \(0.600095\pi\) | |||||||
\(240\) | −0.743654 | − | 2.91290i | −0.0480026 | − | 0.188027i | ||||
\(241\) | 25.0652 | − | 4.41968i | 1.61459 | − | 0.284697i | 0.707845 | − | 0.706367i | \(-0.249667\pi\) |
0.906749 | + | 0.421671i | \(0.138556\pi\) | |||||||
\(242\) | 5.92290 | + | 34.3190i | 0.380739 | + | 2.20611i | ||||
\(243\) | −15.1102 | − | 3.83173i | −0.969319 | − | 0.245806i | ||||
\(244\) | 5.50337 | − | 9.37417i | 0.352317 | − | 0.600120i | ||||
\(245\) | −1.09542 | + | 6.21242i | −0.0699836 | + | 0.396897i | ||||
\(246\) | 17.1598 | − | 4.58061i | 1.09407 | − | 0.292049i | ||||
\(247\) | 6.70610 | + | 9.65750i | 0.426699 | + | 0.614492i | ||||
\(248\) | 8.43184 | + | 14.9790i | 0.535422 | + | 0.951169i | ||||
\(249\) | 2.57953 | − | 9.73158i | 0.163471 | − | 0.616714i | ||||
\(250\) | −5.65045 | − | 2.07987i | −0.357366 | − | 0.131543i | ||||
\(251\) | −12.0542 | + | 2.12549i | −0.760857 | + | 0.134160i | −0.540597 | − | 0.841282i | \(-0.681802\pi\) |
−0.220260 | + | 0.975441i | \(0.570691\pi\) | |||||||
\(252\) | 26.1838 | − | 9.47425i | 1.64943 | − | 0.596821i | ||||
\(253\) | 8.82891 | + | 3.21346i | 0.555069 | + | 0.202028i | ||||
\(254\) | 0.696761 | − | 3.86928i | 0.0437187 | − | 0.242780i | ||||
\(255\) | −2.88915 | + | 1.35670i | −0.180925 | + | 0.0849601i | ||||
\(256\) | 3.23507 | − | 15.6695i | 0.202192 | − | 0.979346i | ||||
\(257\) | 1.68365 | − | 0.296873i | 0.105023 | − | 0.0185184i | −0.120889 | − | 0.992666i | \(-0.538575\pi\) |
0.225913 | + | 0.974148i | \(0.427464\pi\) | |||||||
\(258\) | −8.32623 | − | 8.34195i | −0.518368 | − | 0.519347i | ||||
\(259\) | 2.07003 | − | 3.58539i | 0.128625 | − | 0.222785i | ||||
\(260\) | 0.784633 | + | 2.20549i | 0.0486609 | + | 0.136779i | ||||
\(261\) | 4.91169 | + | 27.0053i | 0.304026 | + | 1.67159i | ||||
\(262\) | −23.3687 | + | 13.3790i | −1.44372 | + | 0.826555i | ||||
\(263\) | −12.5408 | + | 14.9455i | −0.773296 | + | 0.921578i | −0.998610 | − | 0.0527079i | \(-0.983215\pi\) |
0.225314 | + | 0.974286i | \(0.427659\pi\) | |||||||
\(264\) | −20.5059 | − | 20.8454i | −1.26205 | − | 1.28294i | ||||
\(265\) | 1.64781 | + | 0.951362i | 0.101224 | + | 0.0584417i | ||||
\(266\) | −12.2856 | + | 25.8359i | −0.753281 | + | 1.58410i | ||||
\(267\) | 3.72959 | + | 0.316191i | 0.228247 | + | 0.0193506i | ||||
\(268\) | 12.7859 | + | 22.5222i | 0.781025 | + | 1.37576i | ||||
\(269\) | 1.23716 | + | 3.39907i | 0.0754310 | + | 0.207245i | 0.971677 | − | 0.236312i | \(-0.0759387\pi\) |
−0.896246 | + | 0.443557i | \(0.853716\pi\) | |||||||
\(270\) | 3.07634 | − | 0.838949i | 0.187220 | − | 0.0510568i | ||||
\(271\) | −7.23862 | − | 1.27636i | −0.439715 | − | 0.0775336i | −0.0505920 | − | 0.998719i | \(-0.516111\pi\) |
−0.389123 | + | 0.921186i | \(0.627222\pi\) | |||||||
\(272\) | −16.9855 | − | 0.246839i | −1.02990 | − | 0.0149668i | ||||
\(273\) | −19.6258 | + | 9.21601i | −1.18781 | + | 0.557778i | ||||
\(274\) | −1.89408 | − | 1.60108i | −0.114426 | − | 0.0967250i | ||||
\(275\) | −28.2836 | + | 4.98716i | −1.70556 | + | 0.300737i | ||||
\(276\) | −5.27351 | + | 1.38720i | −0.317428 | + | 0.0834997i | ||||
\(277\) | −5.84150 | −0.350982 | −0.175491 | − | 0.984481i | \(-0.556151\pi\) | ||||
−0.175491 | + | 0.984481i | \(0.556151\pi\) | |||||||
\(278\) | 1.71988 | − | 2.03462i | 0.103152 | − | 0.122029i | ||||
\(279\) | −15.7400 | + | 9.20073i | −0.942328 | + | 0.550833i | ||||
\(280\) | −3.70856 | + | 4.32312i | −0.221629 | + | 0.258356i | ||||
\(281\) | −1.44841 | − | 1.72615i | −0.0864051 | − | 0.102974i | 0.721110 | − | 0.692821i | \(-0.243632\pi\) |
−0.807515 | + | 0.589847i | \(0.799188\pi\) | |||||||
\(282\) | −0.0886165 | − | 1.02401i | −0.00527703 | − | 0.0609791i | ||||
\(283\) | 8.52959 | + | 23.4349i | 0.507032 | + | 1.39306i | 0.884285 | + | 0.466948i | \(0.154646\pi\) |
−0.377253 | + | 0.926110i | \(0.623131\pi\) | |||||||
\(284\) | 2.21211 | + | 13.1014i | 0.131265 | + | 0.777428i | ||||
\(285\) | −1.64150 | + | 2.83515i | −0.0972341 | + | 0.167940i | ||||
\(286\) | 17.3885 | + | 14.6987i | 1.02820 | + | 0.869150i | ||||
\(287\) | −25.7772 | − | 21.6296i | −1.52158 | − | 1.27676i | ||||
\(288\) | 16.6737 | + | 3.16033i | 0.982507 | + | 0.186224i | ||||
\(289\) | 0.179820 | + | 1.01981i | 0.0105777 | + | 0.0599888i | ||||
\(290\) | −3.59340 | − | 4.31417i | −0.211011 | − | 0.253337i | ||||
\(291\) | 0.0277836 | + | 0.308024i | 0.00162871 | + | 0.0180567i | ||||
\(292\) | 20.3806 | − | 16.8505i | 1.19268 | − | 0.986103i | ||||
\(293\) | −0.136760 | + | 0.0789587i | −0.00798963 | + | 0.00461282i | −0.503989 | − | 0.863710i | \(-0.668135\pi\) |
0.496000 | + | 0.868323i | \(0.334802\pi\) | |||||||
\(294\) | −29.1506 | − | 20.4524i | −1.70010 | − | 1.19281i | ||||
\(295\) | 2.86412 | + | 1.04245i | 0.166755 | + | 0.0606939i | ||||
\(296\) | 2.19877 | − | 1.23771i | 0.127801 | − | 0.0719404i | ||||
\(297\) | 21.7529 | − | 22.1068i | 1.26223 | − | 1.28277i | ||||
\(298\) | 18.6127 | + | 0.0676168i | 1.07820 | + | 0.00391693i | ||||
\(299\) | 3.98990 | − | 1.45220i | 0.230742 | − | 0.0839832i | ||||
\(300\) | 11.8400 | − | 11.7322i | 0.683585 | − | 0.677357i | ||||
\(301\) | −3.87764 | + | 21.9912i | −0.223503 | + | 1.26755i | ||||
\(302\) | −4.38519 | + | 3.65255i | −0.252339 | + | 0.210180i | ||||
\(303\) | 10.3303 | − | 4.85098i | 0.593462 | − | 0.278681i | ||||
\(304\) | −14.4644 | + | 9.73554i | −0.829591 | + | 0.558372i | ||||
\(305\) | −2.35844 | −0.135044 | ||||||||
\(306\) | −0.0314695 | − | 18.0177i | −0.00179899 | − | 1.03001i | ||||
\(307\) | 9.38722 | − | 3.41667i | 0.535757 | − | 0.195000i | −0.0599502 | − | 0.998201i | \(-0.519094\pi\) |
0.595707 | + | 0.803202i | \(0.296872\pi\) | |||||||
\(308\) | −10.0163 | + | 54.4874i | −0.570733 | + | 3.10470i | ||||
\(309\) | 0.289046 | − | 0.290605i | 0.0164432 | − | 0.0165319i | ||||
\(310\) | 1.87642 | − | 3.22297i | 0.106574 | − | 0.183052i | ||||
\(311\) | − | 22.8570i | − | 1.29610i | −0.761597 | − | 0.648051i | \(-0.775584\pi\) | ||
0.761597 | − | 0.648051i | \(-0.224416\pi\) | |||||||
\(312\) | −13.1541 | − | 1.25972i | −0.744705 | − | 0.0713177i | ||||
\(313\) | −14.1161 | − | 5.13785i | −0.797890 | − | 0.290408i | −0.0892783 | − | 0.996007i | \(-0.528456\pi\) |
−0.708612 | + | 0.705598i | \(0.750678\pi\) | |||||||
\(314\) | 10.5424 | − | 18.1077i | 0.594941 | − | 1.02188i | ||||
\(315\) | −4.64878 | − | 3.85837i | −0.261929 | − | 0.217394i | ||||
\(316\) | −20.2513 | − | 7.53796i | −1.13923 | − | 0.424043i | ||||
\(317\) | 4.99453 | − | 0.880670i | 0.280521 | − | 0.0494634i | −0.0316176 | − | 0.999500i | \(-0.510066\pi\) |
0.312138 | + | 0.950037i | \(0.398955\pi\) | |||||||
\(318\) | −8.80415 | + | 6.15237i | −0.493712 | + | 0.345008i | ||||
\(319\) | −51.3173 | − | 18.6780i | −2.87322 | − | 1.04577i | ||||
\(320\) | −3.28716 | + | 1.11591i | −0.183758 | + | 0.0623813i | ||||
\(321\) | 3.18892 | − | 3.20613i | 0.177988 | − | 0.178948i | ||||
\(322\) | 7.89000 | + | 6.66949i | 0.439693 | + | 0.371676i | ||||
\(323\) | 13.0383 | + | 13.1407i | 0.725470 | + | 0.731169i | ||||
\(324\) | −3.06373 | + | 17.7373i | −0.170207 | + | 0.985408i | ||||
\(325\) | −8.34267 | + | 9.94241i | −0.462768 | + | 0.551506i | ||||
\(326\) | 4.04817 | − | 10.9978i | 0.224207 | − | 0.609111i | ||||
\(327\) | 0.801527 | + | 8.88615i | 0.0443245 | + | 0.491405i | ||||
\(328\) | −6.80378 | − | 19.3467i | −0.375676 | − | 1.06824i | ||||
\(329\) | −1.49177 | + | 1.25175i | −0.0822442 | + | 0.0690111i | ||||
\(330\) | −1.64777 | + | 6.12644i | −0.0907067 | + | 0.337249i | ||||
\(331\) | 24.1291 | 1.32626 | 0.663128 | − | 0.748506i | \(-0.269228\pi\) | ||||
0.663128 | + | 0.748506i | \(0.269228\pi\) | |||||||
\(332\) | −11.4335 | − | 2.10181i | −0.627497 | − | 0.115352i | ||||
\(333\) | 1.35058 | + | 2.31047i | 0.0740112 | + | 0.126613i | ||||
\(334\) | 5.57986 | − | 30.9863i | 0.305316 | − | 1.69549i | ||||
\(335\) | 2.80950 | − | 4.86620i | 0.153499 | − | 0.265869i | ||||
\(336\) | −13.2424 | − | 29.2993i | −0.722431 | − | 1.59841i | ||||
\(337\) | 12.0274 | − | 14.3336i | 0.655172 | − | 0.780803i | −0.331512 | − | 0.943451i | \(-0.607559\pi\) |
0.986684 | + | 0.162647i | \(0.0520033\pi\) | |||||||
\(338\) | −8.09528 | − | 0.0294088i | −0.440325 | − | 0.00159963i | ||||
\(339\) | 4.37575 | − | 16.5080i | 0.237658 | − | 0.896591i | ||||
\(340\) | 1.81957 | + | 3.20514i | 0.0986799 | + | 0.173823i | ||||
\(341\) | − | 36.2738i | − | 1.96434i | ||||||
\(342\) | −10.5745 | − | 15.1717i | −0.571801 | − | 0.820392i | ||||
\(343\) | 34.9812i | 1.88881i | ||||||||
\(344\) | −8.86113 | + | 10.3295i | −0.477760 | + | 0.556931i | ||||
\(345\) | 0.838810 | + | 0.834310i | 0.0451600 | + | 0.0449177i | ||||
\(346\) | 0.00438565 | − | 1.20722i | 0.000235774 | − | 0.0649008i | ||||
\(347\) | 3.19324 | − | 3.80556i | 0.171422 | − | 0.204293i | −0.673493 | − | 0.739194i | \(-0.735207\pi\) |
0.844915 | + | 0.534901i | \(0.179651\pi\) | |||||||
\(348\) | 30.6518 | − | 8.06299i | 1.64311 | − | 0.432222i | ||||
\(349\) | 7.59116 | − | 13.1483i | 0.406345 | − | 0.703811i | −0.588132 | − | 0.808765i | \(-0.700136\pi\) |
0.994477 | + | 0.104954i | \(0.0334696\pi\) | |||||||
\(350\) | −31.0802 | − | 5.59677i | −1.66131 | − | 0.299160i | ||||
\(351\) | 1.10886 | − | 13.9719i | 0.0591866 | − | 0.745767i | ||||
\(352\) | −22.1695 | + | 25.4665i | −1.18164 | + | 1.35737i | ||||
\(353\) | 20.5472 | 1.09362 | 0.546809 | − | 0.837257i | \(-0.315842\pi\) | ||||
0.546809 | + | 0.837257i | \(0.315842\pi\) | |||||||
\(354\) | −12.1775 | + | 12.1546i | −0.647229 | + | 0.646009i | ||||
\(355\) | 2.20832 | − | 1.85300i | 0.117206 | − | 0.0983471i | ||||
\(356\) | 0.0314019 | − | 4.32190i | 0.00166430 | − | 0.229060i | ||||
\(357\) | −27.9106 | + | 19.6553i | −1.47718 | + | 1.04027i | ||||
\(358\) | 14.7391 | + | 5.42530i | 0.778984 | + | 0.286736i | ||||
\(359\) | −8.75782 | + | 10.4372i | −0.462220 | + | 0.550852i | −0.945928 | − | 0.324377i | \(-0.894845\pi\) |
0.483708 | + | 0.875230i | \(0.339290\pi\) | |||||||
\(360\) | −1.24020 | − | 3.46683i | −0.0653641 | − | 0.182718i | ||||
\(361\) | 18.6850 | + | 3.44562i | 0.983419 | + | 0.181349i | ||||
\(362\) | 11.5686 | − | 13.6857i | 0.608034 | − | 0.719303i | ||||
\(363\) | 11.1503 | + | 41.1702i | 0.585239 | + | 2.16088i | ||||
\(364\) | 12.3602 | + | 21.7723i | 0.647851 | + | 1.14118i | ||||
\(365\) | −5.39145 | − | 1.96233i | −0.282202 | − | 0.102713i | ||||
\(366\) | 5.63781 | − | 12.0606i | 0.294693 | − | 0.630418i | ||||
\(367\) | −2.18619 | + | 0.385484i | −0.114118 | + | 0.0201221i | −0.230416 | − | 0.973092i | \(-0.574009\pi\) |
0.116297 | + | 0.993214i | \(0.462897\pi\) | |||||||
\(368\) | 2.06732 | + | 5.94742i | 0.107767 | + | 0.310031i | ||||
\(369\) | 20.4001 | − | 7.54955i | 1.06199 | − | 0.393014i | ||||
\(370\) | −0.473100 | − | 0.275441i | −0.0245953 | − | 0.0143195i | ||||
\(371\) | 19.1225 | + | 6.96004i | 0.992793 | + | 0.361347i | ||||
\(372\) | 11.9961 | + | 17.3001i | 0.621968 | + | 0.896970i | ||||
\(373\) | − | 18.5577i | − | 0.960880i | −0.877028 | − | 0.480440i | \(-0.840477\pi\) | ||
0.877028 | − | 0.480440i | \(-0.159523\pi\) | |||||||
\(374\) | 30.9798 | + | 18.0366i | 1.60193 | + | 0.932649i | ||||
\(375\) | −7.12813 | − | 1.88944i | −0.368095 | − | 0.0975704i | ||||
\(376\) | −1.17099 | + | 0.193344i | −0.0603894 | + | 0.00997094i | ||||
\(377\) | −23.1910 | + | 8.44082i | −1.19440 | + | 0.434724i | ||||
\(378\) | 30.8438 | − | 14.5496i | 1.58643 | − | 0.748353i | ||||
\(379\) | 10.6335 | 0.546204 | 0.273102 | − | 0.961985i | \(-0.411950\pi\) | ||||
0.273102 | + | 0.961985i | \(0.411950\pi\) | |||||||
\(380\) | 3.41036 | + | 1.63693i | 0.174948 | + | 0.0839730i | ||||
\(381\) | 0.406760 | − | 4.79789i | 0.0208389 | − | 0.245803i | ||||
\(382\) | −18.4289 | − | 22.1254i | −0.942903 | − | 1.13203i | ||||
\(383\) | −3.45417 | + | 19.5896i | −0.176500 | + | 1.00098i | 0.759898 | + | 0.650042i | \(0.225249\pi\) |
−0.936398 | + | 0.350939i | \(0.885862\pi\) | |||||||
\(384\) | 2.15133 | − | 19.4775i | 0.109785 | − | 0.993955i | ||||
\(385\) | 11.2949 | − | 4.11102i | 0.575643 | − | 0.209517i | ||||
\(386\) | −0.00379261 | + | 1.04398i | −0.000193039 | + | 0.0531372i | ||||
\(387\) | −11.1077 | − | 9.21907i | −0.564634 | − | 0.468632i | ||||
\(388\) | 0.352135 | − | 0.0594562i | 0.0178770 | − | 0.00301843i | ||||
\(389\) | −23.3073 | − | 8.48316i | −1.18173 | − | 0.430113i | −0.324915 | − | 0.945743i | \(-0.605336\pi\) |
−0.856811 | + | 0.515630i | \(0.827558\pi\) | |||||||
\(390\) | 1.20920 | + | 2.59954i | 0.0612302 | + | 0.131633i | ||||
\(391\) | 5.78939 | − | 3.34251i | 0.292782 | − | 0.169038i | ||||
\(392\) | −20.9462 | + | 35.3836i | −1.05794 | + | 1.78714i | ||||
\(393\) | −26.9641 | + | 18.9888i | −1.36016 | + | 0.957857i | ||||
\(394\) | −12.2606 | + | 10.2122i | −0.617681 | + | 0.514484i | ||||
\(395\) | 0.814113 | + | 4.61707i | 0.0409625 | + | 0.232310i | ||||
\(396\) | −27.3905 | − | 23.0715i | −1.37642 | − | 1.15939i | ||||
\(397\) | −4.47758 | − | 3.75714i | −0.224723 | − | 0.188565i | 0.523474 | − | 0.852042i | \(-0.324636\pi\) |
−0.748197 | + | 0.663477i | \(0.769080\pi\) | |||||||
\(398\) | 24.3558 | − | 28.8129i | 1.22085 | − | 1.44426i | ||||
\(399\) | −12.0239 | + | 32.9101i | −0.601946 | + | 1.64756i | ||||
\(400\) | −14.5626 | − | 12.5846i | −0.728130 | − | 0.629228i | ||||
\(401\) | 4.07147 | + | 11.1863i | 0.203320 | + | 0.558616i | 0.998883 | − | 0.0472546i | \(-0.0150472\pi\) |
−0.795563 | + | 0.605870i | \(0.792825\pi\) | |||||||
\(402\) | 18.1688 | + | 25.9998i | 0.906175 | + | 1.29675i | ||||
\(403\) | −10.5370 | − | 12.5575i | −0.524884 | − | 0.625532i | ||||
\(404\) | −6.50598 | − | 11.4602i | −0.323685 | − | 0.570165i | ||||
\(405\) | 3.65523 | − | 1.37511i | 0.181630 | − | 0.0683296i | ||||
\(406\) | −45.8600 | − | 38.7659i | −2.27599 | − | 1.92392i | ||||
\(407\) | −5.32464 | −0.263932 | ||||||||
\(408\) | −20.7401 | + | 1.64309i | −1.02679 | + | 0.0813452i | ||||
\(409\) | −24.6336 | + | 4.34356i | −1.21805 | + | 0.214775i | −0.745487 | − | 0.666521i | \(-0.767783\pi\) |
−0.472565 | + | 0.881296i | \(0.656672\pi\) | |||||||
\(410\) | −2.87246 | + | 3.39811i | −0.141861 | + | 0.167821i | ||||
\(411\) | −2.49287 | − | 1.73555i | −0.122964 | − | 0.0856083i | ||||
\(412\) | −0.360337 | − | 0.306848i | −0.0177525 | − | 0.0151173i | ||||
\(413\) | 32.1026 | + | 5.66055i | 1.57967 | + | 0.278538i | ||||
\(414\) | −6.27167 | + | 2.29511i | −0.308236 | + | 0.112799i | ||||
\(415\) | 0.862650 | + | 2.37011i | 0.0423458 | + | 0.116344i | ||||
\(416\) | −0.277143 | + | 15.2560i | −0.0135880 | + | 0.747989i | ||||
\(417\) | 1.86433 | − | 2.67784i | 0.0912966 | − | 0.131134i | ||||
\(418\) | 36.6770 | − | 2.93015i | 1.79393 | − | 0.143318i | ||||
\(419\) | −5.08408 | − | 2.93529i | −0.248373 | − | 0.143398i | 0.370646 | − | 0.928774i | \(-0.379136\pi\) |
−0.619019 | + | 0.785376i | \(0.712470\pi\) | |||||||
\(420\) | −4.02736 | + | 5.69601i | −0.196515 | + | 0.277937i | ||||
\(421\) | −22.8248 | + | 27.2015i | −1.11241 | + | 1.32572i | −0.172228 | + | 0.985057i | \(0.555097\pi\) |
−0.940185 | + | 0.340665i | \(0.889348\pi\) | |||||||
\(422\) | −5.65773 | − | 9.88222i | −0.275414 | − | 0.481059i | ||||
\(423\) | −0.225261 | − | 1.23852i | −0.0109526 | − | 0.0602191i | ||||
\(424\) | 7.86809 | + | 9.58711i | 0.382108 | + | 0.465591i | ||||
\(425\) | −10.2172 | + | 17.6968i | −0.495609 | + | 0.858421i | ||||
\(426\) | 4.19695 | + | 15.7225i | 0.203343 | + | 0.761758i | ||||
\(427\) | −24.8405 | + | 4.38004i | −1.20211 | + | 0.211965i | ||||
\(428\) | −3.97545 | − | 3.38532i | −0.192161 | − | 0.163636i | ||||
\(429\) | 22.8856 | + | 15.9331i | 1.10493 | + | 0.769258i | ||||
\(430\) | 2.90602 | + | 0.523302i | 0.140141 | + | 0.0252358i | ||||
\(431\) | −10.4083 | − | 3.78832i | −0.501352 | − | 0.182477i | 0.0789500 | − | 0.996879i | \(-0.474843\pi\) |
−0.580302 | + | 0.814401i | \(0.697065\pi\) | |||||||
\(432\) | 20.6934 | + | 1.94526i | 0.995611 | + | 0.0935915i | ||||
\(433\) | 15.3006 | − | 2.69792i | 0.735302 | − | 0.129654i | 0.206557 | − | 0.978435i | \(-0.433774\pi\) |
0.528745 | + | 0.848781i | \(0.322663\pi\) | |||||||
\(434\) | 13.7780 | − | 37.4311i | 0.661365 | − | 1.79675i | ||||
\(435\) | −4.87551 | − | 4.84936i | −0.233763 | − | 0.232509i | ||||
\(436\) | 10.1587 | − | 1.71525i | 0.486514 | − | 0.0821454i | ||||
\(437\) | 2.92407 | − | 6.20717i | 0.139877 | − | 0.296929i | ||||
\(438\) | 22.9232 | − | 22.8800i | 1.09531 | − | 1.09325i | ||||
\(439\) | 2.67719 | − | 15.1831i | 0.127775 | − | 0.724651i | −0.851845 | − | 0.523794i | \(-0.824516\pi\) |
0.979621 | − | 0.200857i | \(-0.0643727\pi\) | |||||||
\(440\) | 7.20002 | + | 1.35063i | 0.343248 | + | 0.0643886i | ||||
\(441\) | −37.8867 | − | 21.6030i | −1.80413 | − | 1.02871i | ||||
\(442\) | 15.9641 | − | 2.75514i | 0.759335 | − | 0.131049i | ||||
\(443\) | 3.33899 | − | 0.588753i | 0.158640 | − | 0.0279725i | −0.0937640 | − | 0.995594i | \(-0.529890\pi\) |
0.252404 | + | 0.967622i | \(0.418779\pi\) | |||||||
\(444\) | 2.53949 | − | 1.76091i | 0.120519 | − | 0.0835689i | ||||
\(445\) | −0.812086 | + | 0.468858i | −0.0384965 | + | 0.0222260i | ||||
\(446\) | −8.00838 | − | 13.9880i | −0.379208 | − | 0.662352i | ||||
\(447\) | 22.7038 | − | 2.04787i | 1.07385 | − | 0.0968609i | ||||
\(448\) | −32.5498 | + | 17.8583i | −1.53783 | + | 0.843724i | ||||
\(449\) | −20.1068 | + | 11.6087i | −0.948900 | + | 0.547848i | −0.892739 | − | 0.450574i | \(-0.851219\pi\) |
−0.0561611 | + | 0.998422i | \(0.517886\pi\) | |||||||
\(450\) | 13.0948 | − | 15.6612i | 0.617293 | − | 0.738276i | ||||
\(451\) | −7.51512 | + | 42.6204i | −0.353873 | + | 2.00692i | ||||
\(452\) | −19.3951 | − | 3.56537i | −0.912268 | − | 0.167701i | ||||
\(453\) | −4.92918 | + | 4.95577i | −0.231593 | + | 0.232842i | ||||
\(454\) | −4.51194 | + | 3.75812i | −0.211756 | + | 0.176377i | ||||
\(455\) | 2.71596 | − | 4.70417i | 0.127326 | − | 0.220535i | ||||
\(456\) | −16.5234 | + | 13.5269i | −0.773779 | + | 0.633455i | ||||
\(457\) | 3.87776 | + | 6.71648i | 0.181394 | + | 0.314184i | 0.942356 | − | 0.334613i | \(-0.108606\pi\) |
−0.760961 | + | 0.648797i | \(0.775272\pi\) | |||||||
\(458\) | −0.896171 | − | 0.329871i | −0.0418753 | − | 0.0154139i | ||||
\(459\) | −2.10060 | − | 21.9670i | −0.0980476 | − | 1.02533i | ||||
\(460\) | 0.885693 | − | 1.04009i | 0.0412957 | − | 0.0484943i | ||||
\(461\) | −7.77133 | + | 2.82853i | −0.361947 | + | 0.131738i | −0.516591 | − | 0.856232i | \(-0.672799\pi\) |
0.154644 | + | 0.987970i | \(0.450577\pi\) | |||||||
\(462\) | −5.97737 | + | 67.5875i | −0.278093 | + | 3.14445i | ||||
\(463\) | 26.4259i | 1.22812i | 0.789260 | + | 0.614059i | \(0.210464\pi\) | ||||
−0.789260 | + | 0.614059i | \(0.789536\pi\) | |||||||
\(464\) | −12.0161 | − | 34.5689i | −0.557835 | − | 1.60482i | ||||
\(465\) | 1.91920 | − | 4.14480i | 0.0890007 | − | 0.192211i | ||||
\(466\) | −4.83908 | − | 0.0175796i | −0.224166 | − | 0.000814359i | ||||
\(467\) | −31.7021 | − | 18.3032i | −1.46700 | − | 0.846971i | −0.467679 | − | 0.883898i | \(-0.654910\pi\) |
−0.999318 | + | 0.0369273i | \(0.988243\pi\) | |||||||
\(468\) | −16.1841 | − | 0.0305271i | −0.748111 | − | 0.00141112i | ||||
\(469\) | 20.5539 | − | 56.4714i | 0.949092 | − | 2.60761i | ||||
\(470\) | 0.164801 | + | 0.197858i | 0.00760172 | + | 0.00912650i | ||||
\(471\) | 10.7827 | − | 23.2869i | 0.496840 | − | 1.07300i | ||||
\(472\) | 15.0790 | + | 12.9354i | 0.694067 | + | 0.595401i | ||||
\(473\) | 26.9878 | − | 9.82274i | 1.24090 | − | 0.451650i | ||||
\(474\) | −25.5569 | − | 6.87380i | −1.17387 | − | 0.315724i | ||||
\(475\) | 1.74623 | + | 20.9009i | 0.0801223 | + | 0.959001i | ||||
\(476\) | 25.1173 | + | 30.3792i | 1.15125 | + | 1.39243i | ||||
\(477\) | −10.0315 | + | 8.50978i | −0.459310 | + | 0.389636i | ||||
\(478\) | 20.8024 | + | 24.9751i | 0.951481 | + | 1.14233i | ||||
\(479\) | −14.0226 | − | 16.7115i | −0.640709 | − | 0.763567i | 0.343773 | − | 0.939053i | \(-0.388295\pi\) |
−0.984482 | + | 0.175486i | \(0.943850\pi\) | |||||||
\(480\) | −3.88059 | + | 1.73696i | −0.177124 | + | 0.0792809i | ||||
\(481\) | −1.84331 | + | 1.54672i | −0.0840478 | + | 0.0705245i | ||||
\(482\) | −12.1879 | − | 33.8682i | −0.555142 | − | 1.54265i | ||||
\(483\) | 10.3843 | + | 7.22962i | 0.472502 | + | 0.328959i | ||||
\(484\) | 46.4029 | − | 16.5085i | 2.10922 | − | 0.750384i | ||||
\(485\) | −0.0498042 | − | 0.0593543i | −0.00226149 | − | 0.00269514i | ||||
\(486\) | −1.70573 | + | 21.9793i | −0.0773734 | + | 0.997002i | ||||
\(487\) | −6.05949 | − | 10.4953i | −0.274582 | − | 0.475589i | 0.695448 | − | 0.718577i | \(-0.255206\pi\) |
−0.970029 | + | 0.242987i | \(0.921873\pi\) | |||||||
\(488\) | −14.3876 | − | 5.41494i | −0.651295 | − | 0.245123i | ||||
\(489\) | 3.67752 | − | 13.8739i | 0.166303 | − | 0.627398i | ||||
\(490\) | 8.92116 | + | 0.0324091i | 0.403017 | + | 0.00146409i | ||||
\(491\) | 0.131746 | + | 0.0232304i | 0.00594561 | + | 0.00104837i | 0.176620 | − | 0.984279i | \(-0.443484\pi\) |
−0.170675 | + | 0.985327i | \(0.554595\pi\) | |||||||
\(492\) | −10.5108 | − | 22.8124i | −0.473862 | − | 1.02846i | ||||
\(493\) | −33.6504 | + | 19.4280i | −1.51554 | + | 0.874995i | ||||
\(494\) | 11.8459 | − | 11.6685i | 0.532972 | − | 0.524989i | ||||
\(495\) | −1.30806 | + | 7.65908i | −0.0587929 | + | 0.344250i | ||||
\(496\) | 18.8470 | − | 15.3534i | 0.846254 | − | 0.689387i | ||||
\(497\) | 19.8180 | − | 23.6182i | 0.888958 | − | 1.05942i | ||||
\(498\) | −14.1825 | − | 1.25428i | −0.635531 | − | 0.0562058i | ||||
\(499\) | 1.87461 | − | 2.23408i | 0.0839192 | − | 0.100011i | −0.722451 | − | 0.691422i | \(-0.756984\pi\) |
0.806370 | + | 0.591411i | \(0.201429\pi\) | |||||||
\(500\) | −1.53952 | + | 8.37477i | −0.0688494 | + | 0.374531i | ||||
\(501\) | 3.25745 | − | 38.4228i | 0.145532 | − | 1.71661i | ||||
\(502\) | 5.86133 | + | 16.2877i | 0.261604 | + | 0.726957i | ||||
\(503\) | 21.5076 | + | 25.6317i | 0.958974 | + | 1.14286i | 0.989675 | + | 0.143333i | \(0.0457819\pi\) |
−0.0307002 | + | 0.999529i | \(0.509774\pi\) | |||||||
\(504\) | −19.5010 | − | 34.2114i | −0.868644 | − | 1.52390i | ||||
\(505\) | −1.42958 | + | 2.47611i | −0.0636156 | + | 0.110185i | ||||
\(506\) | 2.35483 | − | 13.0769i | 0.104685 | − | 0.581341i | ||||
\(507\) | −9.87463 | + | 0.890687i | −0.438548 | + | 0.0395568i | ||||
\(508\) | −5.55985 | − | 0.0403966i | −0.246678 | − | 0.00179231i | ||||
\(509\) | −13.5338 | + | 37.1838i | −0.599875 | + | 1.64814i | 0.151647 | + | 0.988435i | \(0.451542\pi\) |
−0.751522 | + | 0.659708i | \(0.770680\pi\) | |||||||
\(510\) | 2.58560 | + | 3.70004i | 0.114492 | + | 0.163841i | ||||
\(511\) | −60.4304 | − | 10.6555i | −2.67328 | − | 0.471372i | ||||
\(512\) | −22.6153 | − | 0.739680i | −0.999466 | − | 0.0326895i | ||||
\(513\) | −14.6308 | − | 17.2899i | −0.645966 | − | 0.763366i | ||||
\(514\) | −0.818669 | − | 2.27495i | −0.0361099 | − | 0.100344i | ||||
\(515\) | −0.0178311 | + | 0.101125i | −0.000785732 | + | 0.00445611i | ||||
\(516\) | −9.62286 | + | 13.6099i | −0.423623 | + | 0.599142i | ||||
\(517\) | 2.35353 | + | 0.856614i | 0.103508 | + | 0.0376738i | ||||
\(518\) | −5.49451 | − | 2.02247i | −0.241415 | − | 0.0888623i | ||||
\(519\) | −0.132826 | − | 1.47257i | −0.00583040 | − | 0.0646388i | ||||
\(520\) | 2.88488 | − | 1.62393i | 0.126510 | − | 0.0712138i | ||||
\(521\) | 15.6728 | + | 9.04867i | 0.686636 | + | 0.396429i | 0.802351 | − | 0.596853i | \(-0.203582\pi\) |
−0.115715 | + | 0.993282i | \(0.536916\pi\) | |||||||
\(522\) | 36.4535 | − | 13.3402i | 1.59553 | − | 0.583883i | ||||
\(523\) | 26.2627 | − | 22.0370i | 1.14839 | − | 0.963610i | 0.148705 | − | 0.988882i | \(-0.452489\pi\) |
0.999681 | + | 0.0252713i | \(0.00804498\pi\) | |||||||
\(524\) | 24.2656 | + | 29.3490i | 1.06005 | + | 1.28212i | ||||
\(525\) | −38.5393 | − | 3.26732i | −1.68199 | − | 0.142598i | ||||
\(526\) | 23.8444 | + | 13.8823i | 1.03967 | + | 0.605298i | ||||
\(527\) | −19.7710 | − | 16.5898i | −0.861237 | − | 0.722664i | ||||
\(528\) | −24.1184 | + | 33.5909i | −1.04962 | + | 1.46186i | ||||
\(529\) | 15.7209 | + | 13.1914i | 0.683516 | + | 0.573538i | ||||
\(530\) | 0.929508 | − | 2.52522i | 0.0403752 | − | 0.109689i | ||||
\(531\) | −13.4579 | + | 16.2149i | −0.584025 | + | 0.703667i | ||||
\(532\) | 38.9601 | + | 10.9075i | 1.68913 | + | 0.472900i | ||||
\(533\) | 9.77892 | + | 16.9376i | 0.423572 | + | 0.733649i | ||||
\(534\) | −0.456373 | − | 5.27365i | −0.0197492 | − | 0.228213i | ||||
\(535\) | −0.196723 | + | 1.11567i | −0.00850508 | + | 0.0482347i | ||||
\(536\) | 28.3120 | − | 23.2355i | 1.22289 | − | 1.00362i | ||||
\(537\) | 18.5936 | + | 4.92857i | 0.802371 | + | 0.212683i | ||||
\(538\) | 4.43943 | − | 2.54165i | 0.191397 | − | 0.109578i | ||||
\(539\) | 75.1464 | − | 43.3858i | 3.23678 | − | 1.86876i | ||||
\(540\) | −1.90907 | − | 4.08545i | −0.0821535 | − | 0.175810i | ||||
\(541\) | 23.9168 | − | 20.0686i | 1.02826 | − | 0.862814i | 0.0376191 | − | 0.999292i | \(-0.488023\pi\) |
0.990643 | + | 0.136478i | \(0.0435782\pi\) | |||||||
\(542\) | −0.0377626 | + | 10.3948i | −0.00162204 | + | 0.446496i | ||||
\(543\) | 12.5402 | − | 18.0122i | 0.538152 | − | 0.772977i | ||||
\(544\) | 3.74127 | + | 23.7306i | 0.160405 | + | 1.01744i | ||||
\(545\) | −1.43680 | − | 1.71231i | −0.0615456 | − | 0.0733472i | ||||
\(546\) | 17.5638 | + | 25.1341i | 0.751662 | + | 1.07564i | ||||
\(547\) | 30.8460 | − | 25.8828i | 1.31888 | − | 1.10667i | 0.332336 | − | 0.943161i | \(-0.392163\pi\) |
0.986542 | − | 0.163509i | \(-0.0522812\pi\) | |||||||
\(548\) | −1.77573 | + | 3.02469i | −0.0758556 | + | 0.129209i | ||||
\(549\) | 5.49426 | − | 15.3518i | 0.234489 | − | 0.655199i | ||||
\(550\) | 13.7528 | + | 38.2168i | 0.586420 | + | 1.62957i | ||||
\(551\) | −16.9959 | + | 36.0787i | −0.724051 | + | 1.53700i | ||||
\(552\) | 3.20157 | + | 7.01558i | 0.136268 | + | 0.298603i | ||||
\(553\) | 17.1494 | + | 47.1177i | 0.729269 | + | 2.00365i | ||||
\(554\) | 1.40496 | + | 8.14078i | 0.0596912 | + | 0.345868i | ||||
\(555\) | −0.608416 | − | 0.281719i | −0.0258258 | − | 0.0119583i | ||||
\(556\) | −3.24913 | − | 1.90750i | −0.137794 | − | 0.0808958i | ||||
\(557\) | 32.8337 | + | 11.9505i | 1.39121 | + | 0.506359i | 0.925557 | − | 0.378608i | \(-0.123597\pi\) |
0.465653 | + | 0.884967i | \(0.345820\pi\) | |||||||
\(558\) | 16.6079 | + | 19.7225i | 0.703070 | + | 0.834921i | ||||
\(559\) | 6.48943 | − | 11.2400i | 0.274473 | − | 0.475402i | ||||
\(560\) | 6.91671 | + | 4.12852i | 0.292285 | + | 0.174462i | ||||
\(561\) | 39.8407 | + | 18.4477i | 1.68208 | + | 0.778864i | ||||
\(562\) | −2.05722 | + | 2.43369i | −0.0867786 | + | 0.102659i | ||||
\(563\) | −30.2172 | −1.27350 | −0.636752 | − | 0.771069i | \(-0.719722\pi\) | ||||
−0.636752 | + | 0.771069i | \(0.719722\pi\) | |||||||
\(564\) | −1.40576 | + | 0.369787i | −0.0591933 | + | 0.0155708i | ||||
\(565\) | 1.46334 | + | 4.02049i | 0.0615632 | + | 0.169143i | ||||
\(566\) | 30.6076 | − | 17.5234i | 1.28653 | − | 0.736562i | ||||
\(567\) | 35.9452 | − | 21.2718i | 1.50956 | − | 0.893334i | ||||
\(568\) | 17.7263 | − | 6.23391i | 0.743778 | − | 0.261569i | ||||
\(569\) | −13.6556 | + | 7.88406i | −0.572473 | + | 0.330517i | −0.758136 | − | 0.652096i | \(-0.773890\pi\) |
0.185664 | + | 0.982613i | \(0.440556\pi\) | |||||||
\(570\) | 4.34590 | + | 1.60572i | 0.182030 | + | 0.0672562i | ||||
\(571\) | 2.47424 | + | 1.42850i | 0.103544 | + | 0.0597809i | 0.550878 | − | 0.834586i | \(-0.314293\pi\) |
−0.447334 | + | 0.894367i | \(0.647626\pi\) | |||||||
\(572\) | 16.3020 | − | 27.7681i | 0.681622 | − | 1.16104i | ||||
\(573\) | −25.0043 | − | 24.8701i | −1.04457 | − | 1.03896i | ||||
\(574\) | −23.9435 | + | 41.1256i | −0.999383 | + | 1.71655i | ||||
\(575\) | 7.45914 | + | 1.31525i | 0.311067 | + | 0.0548496i | ||||
\(576\) | 0.394003 | − | 23.9968i | 0.0164168 | − | 0.999865i | ||||
\(577\) | 9.22989 | + | 15.9866i | 0.384245 | + | 0.665532i | 0.991664 | − | 0.128849i | \(-0.0411283\pi\) |
−0.607419 | + | 0.794382i | \(0.707795\pi\) | |||||||
\(578\) | 1.37797 | − | 0.495878i | 0.0573160 | − | 0.0206258i | ||||
\(579\) | 0.114865 | + | 1.27345i | 0.00477361 | + | 0.0529227i | ||||
\(580\) | −5.14802 | + | 6.04542i | −0.213760 | + | 0.251022i | ||||
\(581\) | 13.4877 | + | 23.3613i | 0.559563 | + | 0.969191i | ||||
\(582\) | 0.422583 | − | 0.112804i | 0.0175166 | − | 0.00467587i | ||||
\(583\) | −4.54480 | − | 25.7748i | −0.188226 | − | 1.06748i | ||||
\(584\) | −28.3849 | − | 24.3498i | −1.17458 | − | 1.00760i | ||||
\(585\) | 1.77201 | + | 3.03144i | 0.0732636 | + | 0.125334i | ||||
\(586\) | 0.142931 | + | 0.171600i | 0.00590441 | + | 0.00708874i | ||||
\(587\) | 17.7792 | + | 3.13495i | 0.733825 | + | 0.129393i | 0.528059 | − | 0.849208i | \(-0.322920\pi\) |
0.205766 | + | 0.978601i | \(0.434031\pi\) | |||||||
\(588\) | −21.4916 | + | 45.5437i | −0.886300 | + | 1.87819i | ||||
\(589\) | −26.3802 | − | 2.41201i | −1.08698 | − | 0.0993850i | ||||
\(590\) | 0.763913 | − | 4.24219i | 0.0314498 | − | 0.174648i | ||||
\(591\) | −13.7816 | + | 13.8559i | −0.566898 | + | 0.569956i | ||||
\(592\) | −2.25372 | − | 2.76655i | −0.0926275 | − | 0.113704i | ||||
\(593\) | −0.134171 | − | 0.760924i | −0.00550976 | − | 0.0312474i | 0.981929 | − | 0.189250i | \(-0.0606057\pi\) |
−0.987439 | + | 0.158003i | \(0.949495\pi\) | |||||||
\(594\) | −36.0402 | − | 24.9981i | −1.47875 | − | 1.02568i | ||||
\(595\) | 2.92503 | − | 8.03646i | 0.119915 | − | 0.329463i | ||||
\(596\) | −4.38239 | − | 25.9551i | −0.179510 | − | 1.06316i | ||||
\(597\) | 26.4013 | − | 37.9216i | 1.08053 | − | 1.55203i | ||||
\(598\) | −2.98344 | − | 5.21109i | −0.122002 | − | 0.213097i | ||||
\(599\) | 0.922106 | + | 5.22952i | 0.0376762 | + | 0.213673i | 0.997834 | − | 0.0657871i | \(-0.0209558\pi\) |
−0.960157 | + | 0.279460i | \(0.909845\pi\) | |||||||
\(600\) | −19.1978 | − | 13.6787i | −0.783747 | − | 0.558429i | ||||
\(601\) | 2.64180 | + | 1.52524i | 0.107761 | + | 0.0622160i | 0.552912 | − | 0.833240i | \(-0.313517\pi\) |
−0.445151 | + | 0.895456i | \(0.646850\pi\) | |||||||
\(602\) | 31.5798 | + | 0.114724i | 1.28710 | + | 0.00467581i | ||||
\(603\) | 25.1305 | + | 29.6243i | 1.02339 | + | 1.20639i | ||||
\(604\) | 6.14493 | + | 5.23276i | 0.250034 | + | 0.212918i | ||||
\(605\) | −8.18583 | − | 6.86873i | −0.332801 | − | 0.279253i | ||||
\(606\) | −9.24497 | − | 13.2297i | −0.375551 | − | 0.537421i | ||||
\(607\) | 1.45012 | − | 2.51168i | 0.0588586 | − | 0.101946i | −0.835095 | − | 0.550106i | \(-0.814587\pi\) |
0.893953 | + | 0.448160i | \(0.147921\pi\) | |||||||
\(608\) | 17.0465 | + | 17.8162i | 0.691325 | + | 0.722544i | ||||
\(609\) | −60.3579 | − | 42.0216i | −2.44583 | − | 1.70280i | ||||
\(610\) | 0.567238 | + | 3.28675i | 0.0229668 | + | 0.133076i | ||||
\(611\) | 1.06359 | − | 0.387115i | 0.0430283 | − | 0.0156610i | ||||
\(612\) | −25.1022 | + | 4.37738i | −1.01469 | + | 0.176945i | ||||
\(613\) | −4.16781 | + | 23.6368i | −0.168336 | + | 0.954681i | 0.777222 | + | 0.629227i | \(0.216628\pi\) |
−0.945558 | + | 0.325455i | \(0.894483\pi\) | |||||||
\(614\) | −7.01927 | − | 12.2604i | −0.283275 | − | 0.494788i | ||||
\(615\) | −3.11370 | + | 4.47238i | −0.125556 | + | 0.180344i | ||||
\(616\) | 78.3433 | + | 0.853855i | 3.15654 | + | 0.0344028i | ||||
\(617\) | −1.67773 | − | 9.51485i | −0.0675427 | − | 0.383054i | −0.999775 | − | 0.0211942i | \(-0.993253\pi\) |
0.932233 | − | 0.361859i | \(-0.117858\pi\) | |||||||
\(618\) | −0.474510 | − | 0.332923i | −0.0190876 | − | 0.0133921i | ||||
\(619\) | − | 30.6160i | − | 1.23056i | −0.788308 | − | 0.615281i | \(-0.789043\pi\) | ||
0.788308 | − | 0.615281i | \(-0.210957\pi\) | |||||||
\(620\) | −4.94287 | − | 1.83984i | −0.198510 | − | 0.0738896i | ||||
\(621\) | −7.38489 | + | 3.51645i | −0.296345 | + | 0.141110i | ||||
\(622\) | −31.8538 | + | 5.49744i | −1.27722 | + | 0.220427i | ||||
\(623\) | −7.68261 | + | 6.44648i | −0.307797 | + | 0.258273i | ||||
\(624\) | 1.40819 | + | 18.6347i | 0.0563728 | + | 0.745985i | ||||
\(625\) | −20.8716 | + | 7.59664i | −0.834864 | + | 0.303866i | ||||
\(626\) | −3.76503 | + | 20.9081i | −0.150481 | + | 0.835656i | ||||
\(627\) | 44.3880 | − | 7.77086i | 1.77269 | − | 0.310338i | ||||
\(628\) | −27.7707 | − | 10.3368i | −1.10817 | − | 0.412484i | ||||
\(629\) | −2.43522 | + | 2.90219i | −0.0970987 | + | 0.115718i | ||||
\(630\) | −4.25896 | + | 7.40659i | −0.169681 | + | 0.295086i | ||||
\(631\) | 24.2329 | − | 4.27291i | 0.964696 | − | 0.170102i | 0.330954 | − | 0.943647i | \(-0.392629\pi\) |
0.633741 | + | 0.773545i | \(0.281518\pi\) | |||||||
\(632\) | −5.63425 | + | 30.0355i | −0.224118 | + | 1.19475i | ||||
\(633\) | −8.03003 | − | 11.4027i | −0.319165 | − | 0.453216i | ||||
\(634\) | −2.42857 | − | 6.74862i | −0.0964508 | − | 0.268022i | ||||
\(635\) | 0.603156 | + | 1.04470i | 0.0239355 | + | 0.0414575i | ||||
\(636\) | 10.6915 | + | 10.7898i | 0.423947 | + | 0.427845i | ||||
\(637\) | 13.4117 | − | 36.8484i | 0.531391 | − | 1.45999i | ||||
\(638\) | −13.6873 | + | 76.0087i | −0.541884 | + | 3.00921i | ||||
\(639\) | 6.91722 | + | 18.6914i | 0.273641 | + | 0.739422i | ||||
\(640\) | 2.34575 | + | 4.31262i | 0.0927241 | + | 0.170471i | ||||
\(641\) | −13.9493 | − | 38.3255i | −0.550965 | − | 1.51376i | −0.832395 | − | 0.554183i | \(-0.813031\pi\) |
0.281429 | − | 0.959582i | \(-0.409191\pi\) | |||||||
\(642\) | −5.23508 | − | 3.67300i | −0.206612 | − | 0.144962i | ||||
\(643\) | −2.02121 | − | 0.356393i | −0.0797086 | − | 0.0140548i | 0.133652 | − | 0.991028i | \(-0.457330\pi\) |
−0.213360 | + | 0.976974i | \(0.568441\pi\) | |||||||
\(644\) | 7.39702 | − | 12.5997i | 0.291483 | − | 0.496498i | ||||
\(645\) | 3.60345 | + | 0.305497i | 0.141886 | + | 0.0120289i | ||||
\(646\) | 15.1771 | − | 21.3308i | 0.597137 | − | 0.839251i | ||||
\(647\) | − | 4.92608i | − | 0.193664i | −0.995301 | − | 0.0968320i | \(-0.969129\pi\) | ||
0.995301 | − | 0.0968320i | \(-0.0308710\pi\) | |||||||
\(648\) | 25.4558 | + | 0.00355506i | 1.00000 | + | 0.000139656i | ||||
\(649\) | −14.3392 | − | 39.3966i | −0.562862 | − | 1.54645i | ||||
\(650\) | 15.8624 | + | 9.23515i | 0.622174 | + | 0.362232i | ||||
\(651\) | 12.5165 | − | 47.2198i | 0.490560 | − | 1.85069i | ||||
\(652\) | −16.3003 | − | 2.99645i | −0.638368 | − | 0.117350i | ||||
\(653\) | 18.6939 | 0.731547 | 0.365773 | − | 0.930704i | \(-0.380804\pi\) | ||||
0.365773 | + | 0.930704i | \(0.380804\pi\) | |||||||
\(654\) | 12.1911 | − | 3.25426i | 0.476708 | − | 0.127252i | ||||
\(655\) | 2.82584 | − | 7.76394i | 0.110415 | − | 0.303362i | ||||
\(656\) | −25.3254 | + | 14.1350i | −0.988790 | + | 0.551878i | ||||
\(657\) | 25.3334 | − | 30.5232i | 0.988351 | − | 1.19082i | ||||
\(658\) | 2.10324 | + | 1.77789i | 0.0819929 | + | 0.0693094i | ||||
\(659\) | −0.251516 | − | 1.42642i | −0.00979768 | − | 0.0555654i | 0.979517 | − | 0.201362i | \(-0.0645367\pi\) |
−0.989315 | + | 0.145796i | \(0.953426\pi\) | |||||||
\(660\) | 8.93419 | + | 0.822852i | 0.347763 | + | 0.0320295i | ||||
\(661\) | 1.15567 | − | 3.17516i | 0.0449502 | − | 0.123500i | −0.915186 | − | 0.403031i | \(-0.867957\pi\) |
0.960137 | + | 0.279531i | \(0.0901790\pi\) | |||||||
\(662\) | −5.80341 | − | 33.6266i | −0.225556 | − | 1.30694i | ||||
\(663\) | 19.1511 | − | 5.18676i | 0.743766 | − | 0.201437i | ||||
\(664\) | −0.179172 | + | 16.4394i | −0.00695321 | + | 0.637974i | ||||
\(665\) | −2.23870 | − | 8.48763i | −0.0868131 | − | 0.329136i | ||||
\(666\) | 2.89507 | − | 2.43788i | 0.112182 | − | 0.0944660i | ||||
\(667\) | 11.0328 | + | 9.25763i | 0.427192 | + | 0.358457i | ||||
\(668\) | −44.5249 | − | 0.323507i | −1.72272 | − | 0.0125169i | ||||
\(669\) | −11.3663 | − | 16.1402i | −0.439447 | − | 0.624016i | ||||
\(670\) | −7.45731 | − | 2.74496i | −0.288101 | − | 0.106047i | ||||
\(671\) | 20.8526 | + | 24.8512i | 0.805005 | + | 0.959368i | ||||
\(672\) | −37.6468 | + | 25.5016i | −1.45226 | + | 0.983746i | ||||
\(673\) | − | 39.0819i | − | 1.50650i | −0.657735 | − | 0.753249i | \(-0.728485\pi\) | ||
0.657735 | − | 0.753249i | \(-0.271515\pi\) | |||||||
\(674\) | −22.8683 | − | 13.3140i | −0.880853 | − | 0.512837i | ||||
\(675\) | 14.1750 | − | 20.5958i | 0.545598 | − | 0.792732i | ||||
\(676\) | 1.90605 | + | 11.2887i | 0.0733095 | + | 0.434182i | ||||
\(677\) | −2.32585 | − | 1.34283i | −0.0893896 | − | 0.0516091i | 0.454639 | − | 0.890676i | \(-0.349768\pi\) |
−0.544029 | + | 0.839067i | \(0.683102\pi\) | |||||||
\(678\) | −24.0582 | − | 2.12768i | −0.923948 | − | 0.0817131i | ||||
\(679\) | −0.634799 | − | 0.532660i | −0.0243614 | − | 0.0204416i | ||||
\(680\) | 4.02909 | − | 3.30665i | 0.154508 | − | 0.126804i | ||||
\(681\) | −5.07165 | + | 5.09901i | −0.194346 | + | 0.195394i | ||||
\(682\) | −50.5516 | + | 8.72437i | −1.93572 | + | 0.334074i | ||||
\(683\) | −19.1452 | −0.732572 | −0.366286 | − | 0.930502i | \(-0.619371\pi\) | ||||
−0.366286 | + | 0.930502i | \(0.619371\pi\) | |||||||
\(684\) | −18.6002 | + | 18.3857i | −0.711195 | + | 0.702995i | ||||
\(685\) | 0.760980 | 0.0290756 | ||||||||
\(686\) | 48.7502 | − | 8.41348i | 1.86129 | − | 0.321228i | ||||
\(687\) | −1.13053 | − | 0.299669i | −0.0431325 | − | 0.0114331i | ||||
\(688\) | 16.5266 | + | 9.86457i | 0.630070 | + | 0.376083i | ||||
\(689\) | −9.06052 | − | 7.60268i | −0.345178 | − | 0.289639i | ||||
\(690\) | 0.960958 | − | 1.36964i | 0.0365830 | − | 0.0521413i | ||||
\(691\) | 38.5040 | + | 22.2303i | 1.46476 | + | 0.845679i | 0.999225 | − | 0.0393507i | \(-0.0125290\pi\) |
0.465534 | + | 0.885030i | \(0.345862\pi\) | |||||||
\(692\) | −1.68346 | + | 0.284243i | −0.0639954 | + | 0.0108053i | ||||
\(693\) | 0.447029 | + | 83.0993i | 0.0169812 | + | 3.15668i | ||||
\(694\) | −6.07149 | − | 3.53485i | −0.230470 | − | 0.134181i | ||||
\(695\) | 0.817445i | 0.0310075i | ||||||||
\(696\) | −18.6089 | − | 40.7775i | −0.705368 | − | 1.54567i | ||||
\(697\) | 19.7931 | + | 23.5885i | 0.749719 | + | 0.893480i | ||||
\(698\) | −20.1494 | − | 7.41678i | −0.762665 | − | 0.280729i | ||||
\(699\) | −5.90272 | + | 0.532423i | −0.223261 | + | 0.0201381i | ||||
\(700\) | −0.324488 | + | 44.6598i | −0.0122645 | + | 1.68798i | ||||
\(701\) | −3.32738 | − | 2.79201i | −0.125674 | − | 0.105453i | 0.577785 | − | 0.816189i | \(-0.303917\pi\) |
−0.703458 | + | 0.710737i | \(0.748362\pi\) | |||||||
\(702\) | −19.7382 | + | 1.81513i | −0.744969 | + | 0.0685078i | ||||
\(703\) | −0.354059 | + | 3.87236i | −0.0133536 | + | 0.146049i | ||||
\(704\) | 40.8225 | + | 24.7706i | 1.53856 | + | 0.933578i | ||||
\(705\) | 0.223602 | + | 0.222402i | 0.00842134 | + | 0.00837616i | ||||
\(706\) | −4.94190 | − | 28.6348i | −0.185991 | − | 1.07769i | ||||
\(707\) | −10.4586 | + | 28.7349i | −0.393337 | + | 1.08069i | ||||
\(708\) | 19.8676 | + | 14.0474i | 0.746672 | + | 0.527933i | ||||
\(709\) | −5.41650 | − | 30.7185i | −0.203421 | − | 1.15366i | −0.899905 | − | 0.436086i | \(-0.856364\pi\) |
0.696484 | − | 0.717572i | \(-0.254747\pi\) | |||||||
\(710\) | −3.11350 | − | 2.63187i | −0.116847 | − | 0.0987722i | ||||
\(711\) | −31.9505 | − | 5.45668i | −1.19824 | − | 0.204642i | ||||
\(712\) | −6.03060 | + | 0.995717i | −0.226006 | + | 0.0373161i | ||||
\(713\) | −3.27189 | + | 8.98945i | −0.122533 | + | 0.336658i | ||||
\(714\) | 34.1047 | + | 34.1691i | 1.27634 | + | 1.27875i | ||||
\(715\) | −6.98614 | −0.261267 | ||||||||
\(716\) | 4.01580 | − | 21.8454i | 0.150078 | − | 0.816401i | ||||
\(717\) | 28.2247 | + | 28.0733i | 1.05407 | + | 1.04842i | ||||
\(718\) | 16.6517 | + | 9.69471i | 0.621437 | + | 0.361803i | ||||
\(719\) | 5.41671 | + | 14.8823i | 0.202009 | + | 0.555016i | 0.998786 | − | 0.0492579i | \(-0.0156856\pi\) |
−0.796777 | + | 0.604274i | \(0.793463\pi\) | |||||||
\(720\) | −4.53312 | + | 2.56217i | −0.168940 | + | 0.0954866i | ||||
\(721\) | 1.09823i | 0.0409001i | ||||||||
\(722\) | 0.307856 | − | 26.8683i | 0.0114572 | − | 0.999934i | ||||
\(723\) | −18.7381 | − | 39.9034i | −0.696878 | − | 1.48402i | ||||
\(724\) | −21.8549 | − | 12.8306i | −0.812232 | − | 0.476844i | ||||
\(725\) | −43.3556 | − | 7.64476i | −1.61019 | − | 0.283919i | ||||
\(726\) | 54.6935 | − | 25.4412i | 2.02987 | − | 0.944212i | ||||
\(727\) | 11.0172 | + | 30.2695i | 0.408605 | + | 1.12263i | 0.957924 | + | 0.287021i | \(0.0926650\pi\) |
−0.549319 | + | 0.835613i | \(0.685113\pi\) | |||||||
\(728\) | 27.3693 | − | 22.4619i | 1.01438 | − | 0.832493i | ||||
\(729\) | 0.435713 | + | 26.9965i | 0.0161375 | + | 0.999870i | ||||
\(730\) | −1.43800 | + | 7.98556i | −0.0532228 | + | 0.295559i | ||||
\(731\) | 6.98898 | − | 19.2021i | 0.258497 | − | 0.710214i | ||||
\(732\) | −18.1638 | − | 4.95616i | −0.671353 | − | 0.183185i | ||||
\(733\) | 5.32645 | + | 9.22568i | 0.196737 | + | 0.340758i | 0.947469 | − | 0.319849i | \(-0.103632\pi\) |
−0.750732 | + | 0.660607i | \(0.770299\pi\) | |||||||
\(734\) | 1.06303 | + | 2.95398i | 0.0392370 | + | 0.109034i | ||||
\(735\) | 10.8820 | − | 0.981555i | 0.401390 | − | 0.0362052i | ||||
\(736\) | 7.79118 | − | 4.31148i | 0.287187 | − | 0.158923i | ||||
\(737\) | −76.1165 | + | 13.4214i | −2.80379 | + | 0.494383i | ||||
\(738\) | −15.4277 | − | 26.6140i | −0.567900 | − | 0.979676i | ||||
\(739\) | −22.2486 | + | 26.5148i | −0.818427 | + | 0.975363i | −0.999968 | − | 0.00802024i | \(-0.997447\pi\) |
0.181541 | + | 0.983383i | \(0.441891\pi\) | |||||||
\(740\) | −0.270070 | + | 0.725565i | −0.00992797 | + | 0.0266723i | ||||
\(741\) | 13.1092 | − | 15.5842i | 0.481578 | − | 0.572499i | ||||
\(742\) | 5.10034 | − | 28.3234i | 0.187239 | − | 1.03978i | ||||
\(743\) | −15.2880 | + | 5.56438i | −0.560863 | + | 0.204137i | −0.606866 | − | 0.794804i | \(-0.707574\pi\) |
0.0460036 | + | 0.998941i | \(0.485351\pi\) | |||||||
\(744\) | 21.2244 | − | 20.8788i | 0.778126 | − | 0.765454i | ||||
\(745\) | −4.37488 | + | 3.67096i | −0.160283 | + | 0.134493i | ||||
\(746\) | −25.8622 | + | 4.46339i | −0.946882 | + | 0.163416i | ||||
\(747\) | −17.4374 | + | 0.0938039i | −0.638002 | + | 0.00343210i | ||||
\(748\) | 17.6849 | − | 47.5119i | 0.646624 | − | 1.73721i | ||||
\(749\) | 12.1163i | 0.442719i | ||||||||
\(750\) | −0.918730 | + | 10.3883i | −0.0335473 | + | 0.379326i | ||||
\(751\) | −1.85623 | − | 10.5272i | −0.0677349 | − | 0.384144i | −0.999763 | − | 0.0217585i | \(-0.993074\pi\) |
0.932028 | − | 0.362385i | \(-0.118038\pi\) | |||||||
\(752\) | 0.551087 | + | 1.58541i | 0.0200961 | + | 0.0578139i | ||||
\(753\) | 9.01143 | + | 19.1901i | 0.328395 | + | 0.699328i | ||||
\(754\) | 17.3410 | + | 30.2891i | 0.631522 | + | 1.10306i | ||||
\(755\) | 0.304079 | − | 1.72452i | 0.0110666 | − | 0.0627616i | ||||
\(756\) | −27.6949 | − | 39.4849i | −1.00725 | − | 1.43605i | ||||
\(757\) | 18.6011 | − | 6.77026i | 0.676070 | − | 0.246069i | 0.0189107 | − | 0.999821i | \(-0.493980\pi\) |
0.657159 | + | 0.753752i | \(0.271758\pi\) | |||||||
\(758\) | −2.55750 | − | 14.8189i | −0.0928926 | − | 0.538247i | ||||
\(759\) | 1.37472 | − | 16.2154i | 0.0498993 | − | 0.588580i | ||||
\(760\) | 1.46101 | − | 5.14643i | 0.0529963 | − | 0.186681i | ||||
\(761\) | 4.95605 | − | 8.58412i | 0.179657 | − | 0.311174i | −0.762106 | − | 0.647452i | \(-0.775835\pi\) |
0.941763 | + | 0.336278i | \(0.109168\pi\) | |||||||
\(762\) | −6.78422 | + | 0.587096i | −0.245766 | + | 0.0212682i | ||||
\(763\) | −18.3133 | − | 15.3666i | −0.662984 | − | 0.556310i | ||||
\(764\) | −26.4018 | + | 31.0042i | −0.955185 | + | 1.12169i | ||||
\(765\) | 3.57633 | + | 4.21584i | 0.129302 | + | 0.152424i | ||||
\(766\) | 28.1311 | + | 0.102195i | 1.01642 | + | 0.00369247i | ||||
\(767\) | −16.4081 | − | 9.47323i | −0.592463 | − | 0.342058i | ||||
\(768\) | −27.6614 | + | 1.68649i | −0.998147 | + | 0.0608560i | ||||
\(769\) | 5.04106 | + | 28.5893i | 0.181785 | + | 1.03096i | 0.930017 | + | 0.367517i | \(0.119792\pi\) |
−0.748231 | + | 0.663438i | \(0.769097\pi\) | |||||||
\(770\) | −8.44575 | − | 14.7520i | −0.304364 | − | 0.531624i | ||||
\(771\) | −1.25865 | − | 2.68034i | −0.0453293 | − | 0.0965303i | ||||
\(772\) | 1.45582 | − | 0.245807i | 0.0523960 | − | 0.00884679i | ||||
\(773\) | −1.91660 | + | 5.26581i | −0.0689352 | + | 0.189398i | −0.969376 | − | 0.245580i | \(-0.921022\pi\) |
0.900441 | + | 0.434978i | \(0.143244\pi\) | |||||||
\(774\) | −10.1762 | + | 17.6971i | −0.365778 | + | 0.636109i | ||||
\(775\) | −5.07784 | − | 28.7979i | −0.182401 | − | 1.03445i | ||||
\(776\) | −0.167552 | − | 0.476439i | −0.00601478 | − | 0.0171032i | ||||
\(777\) | −6.93141 | − | 1.83730i | −0.248663 | − | 0.0659127i | ||||
\(778\) | −6.21649 | + | 34.5216i | −0.222872 | + | 1.23766i | ||||
\(779\) | 30.4961 | + | 8.29942i | 1.09264 | + | 0.297357i | ||||
\(780\) | 3.33191 | − | 2.31038i | 0.119302 | − | 0.0827249i | ||||
\(781\) | −39.0506 | − | 6.88568i | −1.39734 | − | 0.246389i | ||||
\(782\) | −6.05059 | − | 7.26424i | −0.216369 | − | 0.259769i | ||||
\(783\) | 42.9241 | − | 20.4391i | 1.53398 | − | 0.730433i | ||||
\(784\) | 54.3489 | + | 20.6806i | 1.94103 | + | 0.738592i | ||||
\(785\) | 1.11639 | + | 6.33139i | 0.0398458 | + | 0.225977i | ||||
\(786\) | 32.9482 | + | 33.0104i | 1.17522 | + | 1.17744i | ||||
\(787\) | 16.9768 | + | 29.4047i | 0.605157 | + | 1.04816i | 0.992027 | + | 0.126029i | \(0.0402231\pi\) |
−0.386869 | + | 0.922135i | \(0.626444\pi\) | |||||||
\(788\) | 17.1807 | + | 14.6304i | 0.612038 | + | 0.521185i | ||||
\(789\) | 30.6645 | + | 14.1988i | 1.09168 | + | 0.505490i | ||||
\(790\) | 6.23859 | − | 2.24503i | 0.221959 | − | 0.0798745i | ||||
\(791\) | 22.8796 | + | 39.6286i | 0.813503 | + | 1.40903i | ||||
\(792\) | −25.5649 | + | 43.7207i | −0.908411 | + | 1.55355i | ||||
\(793\) | 14.4377 | + | 2.54576i | 0.512699 | + | 0.0904027i | ||||
\(794\) | −4.15906 | + | 7.14365i | −0.147600 | + | 0.253519i | ||||
\(795\) | 0.844403 | − | 3.18560i | 0.0299479 | − | 0.112982i | ||||
\(796\) | −46.0119 | − | 27.0126i | −1.63085 | − | 0.957436i | ||||
\(797\) | −4.15164 | − | 2.39695i | −0.147058 | − | 0.0849043i | 0.424665 | − | 0.905350i | \(-0.360392\pi\) |
−0.571724 | + | 0.820446i | \(0.693725\pi\) | |||||||
\(798\) | 48.7558 | + | 8.84126i | 1.72593 | + | 0.312977i | ||||
\(799\) | 1.54328 | − | 0.891014i | 0.0545974 | − | 0.0315218i | ||||
\(800\) | −14.0355 | + | 23.3214i | −0.496229 | + | 0.824535i | ||||
\(801\) | −1.16009 | − | 6.37838i | −0.0409899 | − | 0.225369i | ||||
\(802\) | 14.6101 | − | 8.36451i | 0.515900 | − | 0.295361i | ||||
\(803\) | 26.9923 | + | 74.1607i | 0.952537 | + | 2.61708i | ||||
\(804\) | 31.8638 | − | 31.5735i | 1.12375 | − | 1.11351i | ||||
\(805\) | −3.16995 | −0.111726 | ||||||||
\(806\) | −14.9659 | + | 17.7047i | −0.527153 | + | 0.623621i | ||||
\(807\) | 5.12247 | − | 3.60736i | 0.180319 | − | 0.126985i | ||||
\(808\) | −14.4063 | + | 11.8231i | −0.506810 | + | 0.415937i | ||||
\(809\) | −15.7441 | + | 27.2696i | −0.553534 | + | 0.958749i | 0.444482 | + | 0.895788i | \(0.353388\pi\) |
−0.998016 | + | 0.0629610i | \(0.979946\pi\) | |||||||
\(810\) | −2.79550 | − | 4.76323i | −0.0982238 | − | 0.167363i | ||||
\(811\) | −1.73579 | − | 0.631775i | −0.0609518 | − | 0.0221846i | 0.311364 | − | 0.950291i | \(-0.399214\pi\) |
−0.372316 | + | 0.928106i | \(0.621436\pi\) | |||||||
\(812\) | −42.9946 | + | 73.2347i | −1.50881 | + | 2.57004i | ||||
\(813\) | 1.14370 | + | 12.6796i | 0.0401111 | + | 0.444693i | ||||
\(814\) | 1.28065 | + | 7.42047i | 0.0448868 | + | 0.260087i | ||||
\(815\) | 1.22984 | + | 3.37896i | 0.0430794 | + | 0.118360i | ||||
\(816\) | 7.27813 | + | 28.5085i | 0.254786 | + | 0.997997i | ||||
\(817\) | −5.34909 | − | 20.2801i | −0.187141 | − | 0.709511i | ||||
\(818\) | 11.9780 | + | 33.2849i | 0.418800 | + | 1.16378i | ||||
\(819\) | 24.2938 | + | 28.6379i | 0.848894 | + | 1.00069i | ||||
\(820\) | 5.42652 | + | 3.18579i | 0.189502 | + | 0.111253i | ||||
\(821\) | 32.5566 | − | 27.3183i | 1.13623 | − | 0.953414i | 0.136926 | − | 0.990581i | \(-0.456278\pi\) |
0.999309 | + | 0.0371672i | \(0.0118334\pi\) | |||||||
\(822\) | −1.81911 | + | 3.89151i | −0.0634488 | + | 0.135732i | ||||
\(823\) | 26.9439 | + | 32.1104i | 0.939204 | + | 1.11930i | 0.992685 | + | 0.120731i | \(0.0385239\pi\) |
−0.0534811 | + | 0.998569i | \(0.517032\pi\) | |||||||
\(824\) | −0.340960 | + | 0.575971i | −0.0118779 | + | 0.0200649i | ||||
\(825\) | 21.1440 | + | 45.0269i | 0.736141 | + | 1.56764i | ||||
\(826\) | 0.167474 | − | 46.1000i | 0.00582715 | − | 1.60402i | ||||
\(827\) | −19.8268 | + | 16.6366i | −0.689444 | + | 0.578512i | −0.918749 | − | 0.394843i | \(-0.870799\pi\) |
0.229305 | + | 0.973355i | \(0.426355\pi\) | |||||||
\(828\) | 4.70692 | + | 8.18826i | 0.163577 | + | 0.284562i | ||||
\(829\) | −20.8414 | + | 12.0328i | −0.723852 | + | 0.417916i | −0.816169 | − | 0.577814i | \(-0.803906\pi\) |
0.0923168 | + | 0.995730i | \(0.470573\pi\) | |||||||
\(830\) | 3.09553 | − | 1.77224i | 0.107448 | − | 0.0615155i | ||||
\(831\) | 2.64495 | + | 9.76594i | 0.0917523 | + | 0.338777i | ||||
\(832\) | 21.3276 | − | 3.28307i | 0.739403 | − | 0.113820i | ||||
\(833\) | 10.7208 | − | 60.8009i | 0.371455 | − | 2.10663i | ||||
\(834\) | −4.18026 | − | 1.95409i | −0.144751 | − | 0.0676646i | ||||
\(835\) | 4.83025 | + | 8.36623i | 0.167158 | + | 0.289525i | ||||
\(836\) | −12.9048 | − | 50.4087i | −0.446323 | − | 1.74342i | ||||
\(837\) | 22.5088 | + | 22.1485i | 0.778019 | + | 0.765563i | ||||
\(838\) | −2.86786 | + | 7.79121i | −0.0990687 | + | 0.269143i | ||||
\(839\) | −25.0411 | − | 21.0119i | −0.864513 | − | 0.725413i | 0.0984221 | − | 0.995145i | \(-0.468620\pi\) |
−0.962935 | + | 0.269732i | \(0.913065\pi\) | |||||||
\(840\) | 8.90667 | + | 4.24260i | 0.307309 | + | 0.146384i | ||||
\(841\) | −41.9120 | − | 35.1684i | −1.44524 | − | 1.21270i | ||||
\(842\) | 43.3981 | + | 25.2665i | 1.49560 | + | 0.870743i | ||||
\(843\) | −2.23000 | + | 3.20307i | −0.0768051 | + | 0.110319i | ||||
\(844\) | −12.4112 | + | 10.2615i | −0.427211 | + | 0.353215i | ||||
\(845\) | 1.90278 | − | 1.59662i | 0.0654577 | − | 0.0549255i | ||||
\(846\) | −1.67184 | + | 0.611810i | −0.0574791 | + | 0.0210345i | ||||
\(847\) | −98.9745 | − | 57.1429i | −3.40080 | − | 1.96345i | ||||
\(848\) | 11.4683 | − | 13.2709i | 0.393823 | − | 0.455725i | ||||
\(849\) | 35.3168 | − | 24.8709i | 1.21207 | − | 0.853568i | ||||
\(850\) | 27.1198 | + | 9.98254i | 0.930203 | + | 0.342398i | ||||
\(851\) | 1.31956 | + | 0.480282i | 0.0452340 | + | 0.0164638i | ||||
\(852\) | 20.9017 | − | 9.63040i | 0.716079 | − | 0.329932i | ||||
\(853\) | 4.29369 | − | 24.3507i | 0.147013 | − | 0.833753i | −0.818716 | − | 0.574199i | \(-0.805313\pi\) |
0.965729 | − | 0.259554i | \(-0.0835754\pi\) | |||||||
\(854\) | 12.0786 | + | 33.5645i | 0.413320 | + | 1.14855i | ||||
\(855\) | 5.48311 | + | 1.46058i | 0.187519 | + | 0.0499507i | ||||
\(856\) | −3.76167 | + | 6.35446i | −0.128571 | + | 0.217191i | ||||
\(857\) | 29.3819 | + | 5.18083i | 1.00367 | + | 0.176974i | 0.651245 | − | 0.758867i | \(-0.274247\pi\) |
0.352422 | + | 0.935841i | \(0.385358\pi\) | |||||||
\(858\) | 16.7003 | − | 35.7258i | 0.570137 | − | 1.21966i | ||||
\(859\) | −7.26159 | + | 19.9511i | −0.247762 | + | 0.680721i | 0.752005 | + | 0.659157i | \(0.229087\pi\) |
−0.999767 | + | 0.0215641i | \(0.993135\pi\) | |||||||
\(860\) | 0.0303398 | − | 4.17572i | 0.00103458 | − | 0.142391i | ||||
\(861\) | −24.4893 | + | 52.8884i | −0.834594 | + | 1.80243i | ||||
\(862\) | −2.77610 | + | 15.4163i | −0.0945542 | + | 0.525082i | ||||
\(863\) | 23.6493 | − | 40.9618i | 0.805033 | − | 1.39436i | −0.111237 | − | 0.993794i | \(-0.535481\pi\) |
0.916269 | − | 0.400563i | \(-0.131186\pi\) | |||||||
\(864\) | −2.26612 | − | 29.3064i | −0.0770949 | − | 0.997024i | ||||
\(865\) | 0.238100 | + | 0.283756i | 0.00809563 | + | 0.00964800i | ||||
\(866\) | −7.43987 | − | 20.6743i | −0.252817 | − | 0.702540i | ||||
\(867\) | 1.62352 | − | 0.762383i | 0.0551376 | − | 0.0258919i | ||||
\(868\) | −55.4781 | − | 10.1985i | −1.88305 | − | 0.346158i | ||||
\(869\) | 41.4525 | − | 49.4011i | 1.40618 | − | 1.67582i | ||||
\(870\) | −5.58549 | + | 7.96091i | −0.189366 | + | 0.269900i | ||||
\(871\) | −22.4517 | + | 26.7569i | −0.760748 | + | 0.906624i | ||||
\(872\) | −4.83370 | − | 13.7448i | −0.163690 | − | 0.465456i | ||||
\(873\) | 0.502381 | − | 0.185918i | 0.0170030 | − | 0.00629238i | ||||
\(874\) | −9.35367 | − | 2.58210i | −0.316393 | − | 0.0873410i | ||||
\(875\) | 17.1116 | − | 9.87936i | 0.578476 | − | 0.333983i | ||||
\(876\) | −37.3991 | − | 26.4430i | −1.26360 | − | 0.893427i | ||||
\(877\) | 26.9717 | + | 4.75584i | 0.910770 | + | 0.160593i | 0.609353 | − | 0.792899i | \(-0.291429\pi\) |
0.301417 | + | 0.953492i | \(0.402540\pi\) | |||||||
\(878\) | −21.8033 | − | 0.0792077i | −0.735825 | − | 0.00267313i | ||||
\(879\) | 0.193928 | + | 0.192888i | 0.00654103 | + | 0.00650594i | ||||
\(880\) | 0.150538 | − | 10.3589i | 0.00507465 | − | 0.349198i | ||||
\(881\) | −9.03134 | − | 15.6427i | −0.304274 | − | 0.527018i | 0.672826 | − | 0.739801i | \(-0.265080\pi\) |
−0.977099 | + | 0.212784i | \(0.931747\pi\) | |||||||
\(882\) | −20.9939 | + | 57.9951i | −0.706900 | + | 1.95280i | ||||
\(883\) | −23.5001 | − | 28.0063i | −0.790840 | − | 0.942486i | 0.208529 | − | 0.978016i | \(-0.433133\pi\) |
−0.999369 | + | 0.0355299i | \(0.988688\pi\) | |||||||
\(884\) | −7.67920 | − | 21.5851i | −0.258279 | − | 0.725986i | ||||
\(885\) | 0.445963 | − | 5.26030i | 0.0149909 | − | 0.176823i | ||||
\(886\) | −1.62357 | − | 4.51164i | −0.0545448 | − | 0.151572i | ||||
\(887\) | 17.9787 | − | 15.0859i | 0.603666 | − | 0.506536i | −0.288956 | − | 0.957342i | \(-0.593308\pi\) |
0.892622 | + | 0.450807i | \(0.148864\pi\) | |||||||
\(888\) | −3.06480 | − | 3.11554i | −0.102848 | − | 0.104551i | ||||
\(889\) | 8.29299 | + | 9.88320i | 0.278138 | + | 0.331472i | ||||
\(890\) | 0.848724 | + | 1.01896i | 0.0284493 | + | 0.0341558i | ||||
\(891\) | −46.8081 | − | 26.3573i | −1.56813 | − | 0.883003i | ||||
\(892\) | −17.5677 | + | 14.5249i | −0.588211 | + | 0.486329i | ||||
\(893\) | 0.779472 | − | 1.65465i | 0.0260840 | − | 0.0553708i | ||||
\(894\) | −8.31452 | − | 31.1477i | −0.278079 | − | 1.04173i | ||||
\(895\) | −4.52843 | + | 1.64821i | −0.151369 | + | 0.0550937i | ||||
\(896\) | 32.7162 | + | 41.0666i | 1.09297 | + | 1.37194i | ||||
\(897\) | −4.23440 | − | 6.01286i | −0.141382 | − | 0.200764i | ||||
\(898\) | 21.0140 | + | 25.2291i | 0.701246 | + | 0.841905i | ||||
\(899\) | 19.0176 | − | 52.2504i | 0.634273 | − | 1.74265i | ||||
\(900\) | −24.9751 | − | 14.4823i | −0.832503 | − | 0.482742i | ||||
\(901\) | −16.1271 | − | 9.31098i | −0.537271 | − | 0.310194i | ||||
\(902\) | 61.2038 | + | 0.222343i | 2.03786 | + | 0.00740322i | ||||
\(903\) | 38.5210 | − | 3.47458i | 1.28190 | − | 0.115627i | ||||
\(904\) | −0.303934 | + | 27.8867i | −0.0101087 | + | 0.927499i | ||||
\(905\) | 5.49846i | 0.182775i | ||||||||
\(906\) | 8.09196 | + | 5.67743i | 0.268837 | + | 0.188620i | ||||
\(907\) | −3.89339 | + | 1.41708i | −0.129278 | + | 0.0470533i | −0.405849 | − | 0.913940i | \(-0.633024\pi\) |
0.276571 | + | 0.960993i | \(0.410802\pi\) | |||||||
\(908\) | 6.32254 | + | 5.38401i | 0.209821 | + | 0.178675i | ||||
\(909\) | −12.7874 | − | 15.0740i | −0.424131 | − | 0.499973i | ||||
\(910\) | −7.20902 | − | 2.65357i | −0.238977 | − | 0.0879648i | ||||
\(911\) | 10.8294 | + | 18.7571i | 0.358795 | + | 0.621451i | 0.987760 | − | 0.155983i | \(-0.0498544\pi\) |
−0.628965 | + | 0.777434i | \(0.716521\pi\) | |||||||
\(912\) | 22.8254 | + | 19.7738i | 0.755823 | + | 0.654776i | ||||
\(913\) | 17.3469 | − | 30.0457i | 0.574097 | − | 0.994366i | ||||
\(914\) | 8.42751 | − | 7.01951i | 0.278757 | − | 0.232185i | ||||
\(915\) | 1.06787 | + | 3.94288i | 0.0353026 | + | 0.130348i | ||||
\(916\) | −0.244170 | + | 1.32825i | −0.00806762 | + | 0.0438867i | ||||
\(917\) | 15.3444 | − | 87.0226i | 0.506718 | − | 2.87374i | ||||
\(918\) | −30.1082 | + | 8.21079i | −0.993718 | + | 0.270996i | ||||
\(919\) | −41.9909 | + | 24.2434i | −1.38515 | + | 0.799717i | −0.992764 | − | 0.120083i | \(-0.961684\pi\) |
−0.392387 | + | 0.919800i | \(0.628351\pi\) | |||||||
\(920\) | −1.66250 | − | 0.984156i | −0.0548110 | − | 0.0324467i | ||||
\(921\) | −9.96246 | − | 14.1467i | −0.328274 | − | 0.466150i | ||||
\(922\) | 5.81099 | + | 10.1499i | 0.191375 | + | 0.334269i | ||||
\(923\) | −15.5189 | + | 8.95987i | −0.510812 | + | 0.294918i | ||||
\(924\) | 95.6283 | − | 7.92563i | 3.14594 | − | 0.260734i | ||||
\(925\) | −4.22724 | + | 0.745377i | −0.138991 | + | 0.0245078i | ||||
\(926\) | 36.8275 | − | 6.35582i | 1.21023 | − | 0.208865i | ||||
\(927\) | −0.616715 | − | 0.351651i | −0.0202556 | − | 0.0115497i | ||||
\(928\) | −45.2856 | + | 25.0601i | −1.48657 | + | 0.822639i | ||||
\(929\) | 1.40561 | − | 7.97162i | 0.0461166 | − | 0.261540i | −0.953028 | − | 0.302881i | \(-0.902052\pi\) |
0.999145 | + | 0.0413402i | \(0.0131628\pi\) | |||||||
\(930\) | −6.23784 | − | 1.67773i | −0.204547 | − | 0.0550150i | ||||
\(931\) | −26.5556 | − | 57.5353i | −0.870325 | − | 1.88564i | ||||
\(932\) | 1.13937 | + | 6.74803i | 0.0373213 | + | 0.221039i | ||||
\(933\) | −38.2128 | + | 10.3493i | −1.25103 | + | 0.338822i | ||||
\(934\) | −17.8827 | + | 48.5826i | −0.585141 | + | 1.58967i | ||||
\(935\) | −10.8321 | + | 1.91000i | −0.354249 | + | 0.0624637i | ||||
\(936\) | 3.84997 | + | 22.5617i | 0.125840 | + | 0.737453i | ||||
\(937\) | −28.2821 | − | 10.2938i | −0.923936 | − | 0.336285i | −0.164133 | − | 0.986438i | \(-0.552483\pi\) |
−0.759803 | + | 0.650153i | \(0.774705\pi\) | |||||||
\(938\) | −83.6427 | − | 15.0620i | −2.73103 | − | 0.491791i | ||||
\(939\) | −2.19798 | + | 25.9260i | −0.0717283 | + | 0.846062i | ||||
\(940\) | 0.236100 | − | 0.277257i | 0.00770073 | − | 0.00904311i | ||||
\(941\) | −48.6683 | + | 8.58153i | −1.58654 | + | 0.279750i | −0.896172 | − | 0.443708i | \(-0.853663\pi\) |
−0.690369 | + | 0.723458i | \(0.742552\pi\) | |||||||
\(942\) | −35.0463 | − | 9.42605i | −1.14187 | − | 0.307117i | ||||
\(943\) | 5.70677 | − | 9.88441i | 0.185838 | − | 0.321881i | ||||
\(944\) | 14.4002 | − | 24.1254i | 0.468688 | − | 0.785216i | ||||
\(945\) | −4.34559 | + | 9.51894i | −0.141362 | + | 0.309651i | ||||
\(946\) | −20.1800 | − | 35.2480i | −0.656110 | − | 1.14601i | ||||
\(947\) | −30.2377 | + | 36.0359i | −0.982594 | + | 1.17101i | 0.00267499 | + | 0.999996i | \(0.499149\pi\) |
−0.985269 | + | 0.171013i | \(0.945296\pi\) | |||||||
\(948\) | −3.43259 | + | 37.2697i | −0.111486 | + | 1.21046i | ||||
\(949\) | 30.8869 | + | 17.8325i | 1.00263 | + | 0.578869i | ||||
\(950\) | 28.7078 | − | 7.46054i | 0.931404 | − | 0.242052i | ||||
\(951\) | −3.73378 | − | 7.95120i | −0.121076 | − | 0.257835i | ||||
\(952\) | 36.2957 | − | 42.3104i | 1.17635 | − | 1.37129i | ||||
\(953\) | 1.68165 | + | 4.62030i | 0.0544741 | + | 0.149666i | 0.963945 | − | 0.266101i | \(-0.0857354\pi\) |
−0.909471 | + | 0.415767i | \(0.863513\pi\) | |||||||
\(954\) | 14.2720 | + | 11.9333i | 0.462075 | + | 0.386353i | ||||
\(955\) | 8.70102 | + | 1.53422i | 0.281558 | + | 0.0496463i | ||||
\(956\) | 29.8023 | − | 34.9974i | 0.963874 | − | 1.13190i | ||||
\(957\) | −7.99046 | + | 94.2504i | −0.258295 | + | 3.04668i | ||||
\(958\) | −19.9167 | + | 23.5614i | −0.643478 | + | 0.761234i | ||||
\(959\) | 8.01509 | − | 1.41328i | 0.258821 | − | 0.0456371i | ||||
\(960\) | 3.35398 | + | 4.99027i | 0.108249 | + | 0.161060i | ||||
\(961\) | 5.93340 | 0.191400 | ||||||||
\(962\) | 2.59887 | + | 2.19685i | 0.0837911 | + | 0.0708294i | ||||
\(963\) | −6.80397 | − | 3.87962i | −0.219255 | − | 0.125019i | ||||
\(964\) | −44.2678 | + | 25.1309i | −1.42577 | + | 0.809413i | ||||
\(965\) | −0.205903 | − | 0.245386i | −0.00662826 | − | 0.00789925i | ||||
\(966\) | 7.57771 | − | 16.2105i | 0.243809 | − | 0.521565i | ||||
\(967\) | −12.6192 | − | 34.6708i | −0.405805 | − | 1.11494i | −0.959374 | − | 0.282136i | \(-0.908957\pi\) |
0.553570 | − | 0.832803i | \(-0.313265\pi\) | |||||||
\(968\) | −34.1669 | − | 60.6970i | −1.09817 | − | 1.95088i | ||||
\(969\) | 16.0654 | − | 27.7476i | 0.516094 | − | 0.891382i | ||||
\(970\) | −0.0707383 | + | 0.0836833i | −0.00227127 | + | 0.00268691i | ||||
\(971\) | 21.9132 | + | 18.3874i | 0.703229 | + | 0.590079i | 0.922690 | − | 0.385542i | \(-0.125986\pi\) |
−0.219461 | + | 0.975621i | \(0.570430\pi\) | |||||||
\(972\) | 31.0409 | − | 2.90922i | 0.995637 | − | 0.0933134i | ||||
\(973\) | 1.51814 | + | 8.60982i | 0.0486694 | + | 0.276018i | ||||
\(974\) | −13.1690 | + | 10.9689i | −0.421963 | + | 0.351465i | ||||
\(975\) | 20.3994 | + | 9.44567i | 0.653303 | + | 0.302504i | ||||
\(976\) | −4.08590 | + | 21.3531i | −0.130787 | + | 0.683495i | ||||
\(977\) | −48.4405 | + | 27.9672i | −1.54975 | + | 0.894749i | −0.551590 | + | 0.834115i | \(0.685979\pi\) |
−0.998160 | + | 0.0606336i | \(0.980688\pi\) | |||||||
\(978\) | −20.2193 | − | 1.78817i | −0.646541 | − | 0.0571795i | ||||
\(979\) | 12.1206 | + | 4.41155i | 0.387377 | + | 0.140994i | ||||
\(980\) | −2.10050 | − | 12.4404i | −0.0670981 | − | 0.397395i | ||||
\(981\) | 14.4931 | − | 5.36353i | 0.462730 | − | 0.171244i | ||||
\(982\) | 0.000687296 | − | 0.189190i | 2.19325e−5 | − | 0.00603730i | ||||
\(983\) | 38.9623 | − | 14.1811i | 1.24270 | − | 0.452307i | 0.364773 | − | 0.931096i | \(-0.381146\pi\) |
0.877930 | + | 0.478789i | \(0.158924\pi\) | |||||||
\(984\) | −29.2636 | + | 20.1346i | −0.932888 | + | 0.641868i | ||||
\(985\) | 0.850178 | − | 4.82160i | 0.0270889 | − | 0.153629i | ||||
\(986\) | 35.1685 | + | 42.2228i | 1.11999 | + | 1.34465i | ||||
\(987\) | 2.76815 | + | 1.92721i | 0.0881112 | + | 0.0613436i | ||||
\(988\) | −19.1104 | − | 13.7021i | −0.607983 | − | 0.435923i | ||||
\(989\) | −7.57418 | −0.240845 | ||||||||
\(990\) | 10.9884 | − | 0.0191921i | 0.349234 | − | 0.000609966i | ||||
\(991\) | −41.3777 | + | 15.0602i | −1.31441 | + | 0.478405i | −0.901662 | − | 0.432442i | \(-0.857652\pi\) |
−0.412744 | + | 0.910847i | \(0.635430\pi\) | |||||||
\(992\) | −25.9296 | − | 22.5726i | −0.823266 | − | 0.716682i | ||||
\(993\) | −10.9253 | − | 40.3396i | −0.346705 | − | 1.28014i | ||||
\(994\) | −37.6811 | − | 21.9381i | −1.19517 | − | 0.695833i | ||||
\(995\) | 11.5761i | 0.366986i | ||||||||
\(996\) | 1.66310 | + | 20.0665i | 0.0526974 | + | 0.635832i | ||||
\(997\) | 1.29203 | + | 0.470261i | 0.0409191 | + | 0.0148933i | 0.362399 | − | 0.932023i | \(-0.381958\pi\) |
−0.321480 | + | 0.946917i | \(0.604180\pi\) | |||||||
\(998\) | −3.56431 | − | 2.07516i | −0.112826 | − | 0.0656879i | ||||
\(999\) | 3.25118 | − | 3.30407i | 0.102863 | − | 0.104536i |
(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 | 684.2.cc.a.535.53 | yes | 696 | |
4.3 | odd | 2 | inner | 684.2.cc.a.535.40 | yes | 696 | |
9.7 | even | 3 | 684.2.bt.a.79.28 | ✓ | 696 | ||
19.13 | odd | 18 | 684.2.bt.a.355.116 | yes | 696 | ||
36.7 | odd | 6 | 684.2.bt.a.79.116 | yes | 696 | ||
76.51 | even | 18 | 684.2.bt.a.355.28 | yes | 696 | ||
171.70 | odd | 18 | inner | 684.2.cc.a.583.40 | yes | 696 | |
684.583 | even | 18 | inner | 684.2.cc.a.583.53 | yes | 696 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
684.2.bt.a.79.28 | ✓ | 696 | 9.7 | even | 3 | ||
684.2.bt.a.79.116 | yes | 696 | 36.7 | odd | 6 | ||
684.2.bt.a.355.28 | yes | 696 | 76.51 | even | 18 | ||
684.2.bt.a.355.116 | yes | 696 | 19.13 | odd | 18 | ||
684.2.cc.a.535.40 | yes | 696 | 4.3 | odd | 2 | inner | |
684.2.cc.a.535.53 | yes | 696 | 1.1 | even | 1 | trivial | |
684.2.cc.a.583.40 | yes | 696 | 171.70 | odd | 18 | inner | |
684.2.cc.a.583.53 | yes | 696 | 684.583 | even | 18 | inner |