Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(21,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 13, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.bm (of order \(32\), degree \(16\), 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: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 461.31 | ||
Character | \(\chi\) | \(=\) | 640.461 |
Dual form | 640.2.bm.a.261.31 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{31}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.102812 | − | 1.41047i | −0.0726993 | − | 0.997354i | ||||
\(3\) | 2.46375 | − | 0.747371i | 1.42245 | − | 0.431495i | 0.517012 | − | 0.855978i | \(-0.327044\pi\) |
0.905436 | + | 0.424483i | \(0.139544\pi\) | |||||||
\(4\) | −1.97886 | + | 0.290028i | −0.989430 | + | 0.145014i | ||||
\(5\) | 0.995185 | − | 0.0980171i | 0.445060 | − | 0.0438346i | ||||
\(6\) | −1.30745 | − | 3.39821i | −0.533764 | − | 1.38732i | ||||
\(7\) | 1.01035 | − | 1.51210i | 0.381877 | − | 0.571520i | −0.589883 | − | 0.807488i | \(-0.700826\pi\) |
0.971761 | + | 0.235969i | \(0.0758263\pi\) | |||||||
\(8\) | 0.612527 | + | 2.76131i | 0.216561 | + | 0.976269i | ||||
\(9\) | 3.01711 | − | 2.01597i | 1.00570 | − | 0.671989i | ||||
\(10\) | −0.240568 | − | 1.39360i | −0.0760742 | − | 0.440696i | ||||
\(11\) | −0.474917 | − | 0.888507i | −0.143193 | − | 0.267895i | 0.800093 | − | 0.599875i | \(-0.204783\pi\) |
−0.943286 | + | 0.331980i | \(0.892283\pi\) | |||||||
\(12\) | −4.65866 | + | 2.19350i | −1.34484 | + | 0.633209i | ||||
\(13\) | 0.145337 | − | 1.47563i | 0.0403092 | − | 0.409267i | −0.953764 | − | 0.300556i | \(-0.902828\pi\) |
0.994073 | − | 0.108711i | \(-0.0346722\pi\) | |||||||
\(14\) | −2.23665 | − | 1.26961i | −0.597770 | − | 0.339318i | ||||
\(15\) | 2.37863 | − | 0.985262i | 0.614161 | − | 0.254394i | ||||
\(16\) | 3.83177 | − | 1.14785i | 0.957942 | − | 0.286962i | ||||
\(17\) | −1.80605 | − | 0.748091i | −0.438032 | − | 0.181439i | 0.152759 | − | 0.988263i | \(-0.451184\pi\) |
−0.590791 | + | 0.806825i | \(0.701184\pi\) | |||||||
\(18\) | −3.15366 | − | 4.04828i | −0.743324 | − | 0.954188i | ||||
\(19\) | 1.71214 | + | 2.08625i | 0.392792 | + | 0.478619i | 0.931431 | − | 0.363918i | \(-0.118561\pi\) |
−0.538639 | + | 0.842537i | \(0.681061\pi\) | |||||||
\(20\) | −1.94090 | + | 0.482593i | −0.433999 | + | 0.107911i | ||||
\(21\) | 1.35916 | − | 4.48055i | 0.296593 | − | 0.977736i | ||||
\(22\) | −1.20439 | + | 0.761206i | −0.256776 | + | 0.162290i | ||||
\(23\) | 0.582161 | − | 2.92672i | 0.121389 | − | 0.610264i | −0.871418 | − | 0.490541i | \(-0.836799\pi\) |
0.992807 | − | 0.119723i | \(-0.0382007\pi\) | |||||||
\(24\) | 3.57284 | + | 6.34539i | 0.729302 | + | 1.29525i | ||||
\(25\) | 0.980785 | − | 0.195090i | 0.196157 | − | 0.0390181i | ||||
\(26\) | −2.09628 | − | 0.0532805i | −0.411114 | − | 0.0104492i | ||||
\(27\) | 1.02677 | − | 1.25113i | 0.197603 | − | 0.240779i | ||||
\(28\) | −1.56079 | + | 3.28526i | −0.294962 | + | 0.620856i | ||||
\(29\) | 4.23367 | + | 2.26294i | 0.786172 | + | 0.420218i | 0.815068 | − | 0.579365i | \(-0.196699\pi\) |
−0.0288965 | + | 0.999582i | \(0.509199\pi\) | |||||||
\(30\) | −1.63424 | − | 3.25370i | −0.298370 | − | 0.594041i | ||||
\(31\) | −2.63475 | + | 2.63475i | −0.473214 | + | 0.473214i | −0.902953 | − | 0.429739i | \(-0.858606\pi\) |
0.429739 | + | 0.902953i | \(0.358606\pi\) | |||||||
\(32\) | −2.01296 | − | 5.28659i | −0.355845 | − | 0.934545i | ||||
\(33\) | −1.83412 | − | 1.83412i | −0.319280 | − | 0.319280i | ||||
\(34\) | −0.869477 | + | 2.62430i | −0.149114 | + | 0.450063i | ||||
\(35\) | 0.857276 | − | 1.60385i | 0.144906 | − | 0.271100i | ||||
\(36\) | −5.38574 | + | 4.86436i | −0.897624 | + | 0.810726i | ||||
\(37\) | −8.02941 | − | 6.58957i | −1.32003 | − | 1.08332i | −0.990256 | − | 0.139258i | \(-0.955528\pi\) |
−0.329771 | − | 0.944061i | \(-0.606972\pi\) | |||||||
\(38\) | 2.76657 | − | 2.62942i | 0.448797 | − | 0.426548i | ||||
\(39\) | −0.744770 | − | 3.74421i | −0.119259 | − | 0.599554i | ||||
\(40\) | 0.880233 | + | 2.68797i | 0.139177 | + | 0.425006i | ||||
\(41\) | −0.328729 | − | 0.0653883i | −0.0513388 | − | 0.0102119i | 0.169354 | − | 0.985555i | \(-0.445832\pi\) |
−0.220693 | + | 0.975343i | \(0.570832\pi\) | |||||||
\(42\) | −6.45942 | − | 1.45640i | −0.996710 | − | 0.224727i | ||||
\(43\) | 6.72762 | + | 2.04080i | 1.02595 | + | 0.311219i | 0.758029 | − | 0.652221i | \(-0.226163\pi\) |
0.267923 | + | 0.963440i | \(0.413663\pi\) | |||||||
\(44\) | 1.19749 | + | 1.62049i | 0.180528 | + | 0.244298i | ||||
\(45\) | 2.80498 | − | 2.30199i | 0.418141 | − | 0.343160i | ||||
\(46\) | −4.18791 | − | 0.520218i | −0.617474 | − | 0.0767020i | ||||
\(47\) | 0.188147 | − | 0.454227i | 0.0274440 | − | 0.0662558i | −0.909563 | − | 0.415565i | \(-0.863584\pi\) |
0.937007 | + | 0.349309i | \(0.113584\pi\) | |||||||
\(48\) | 8.58266 | − | 5.69177i | 1.23880 | − | 0.821536i | ||||
\(49\) | 1.41315 | + | 3.41165i | 0.201879 | + | 0.487379i | ||||
\(50\) | −0.376006 | − | 1.36331i | −0.0531753 | − | 0.192801i | ||||
\(51\) | −5.00877 | − | 0.493321i | −0.701368 | − | 0.0690787i | ||||
\(52\) | 0.140373 | + | 2.96222i | 0.0194662 | + | 0.410786i | ||||
\(53\) | −3.37552 | + | 1.80425i | −0.463664 | + | 0.247833i | −0.686650 | − | 0.726988i | \(-0.740919\pi\) |
0.222986 | + | 0.974822i | \(0.428419\pi\) | |||||||
\(54\) | −1.87024 | − | 1.31960i | −0.254508 | − | 0.179575i | ||||
\(55\) | −0.559719 | − | 0.837678i | −0.0754725 | − | 0.112953i | ||||
\(56\) | 4.79424 | + | 1.86369i | 0.640657 | + | 0.249046i | ||||
\(57\) | 5.77750 | + | 3.86040i | 0.765248 | + | 0.511323i | ||||
\(58\) | 2.75654 | − | 6.20412i | 0.361952 | − | 0.814641i | ||||
\(59\) | 1.34960 | + | 13.7027i | 0.175703 | + | 1.78394i | 0.529189 | + | 0.848504i | \(0.322496\pi\) |
−0.353486 | + | 0.935440i | \(0.615004\pi\) | |||||||
\(60\) | −4.42123 | + | 2.63957i | −0.570778 | + | 0.340766i | ||||
\(61\) | 0.0299468 | + | 0.0987215i | 0.00383430 | + | 0.0126400i | 0.958837 | − | 0.283958i | \(-0.0916477\pi\) |
−0.955002 | + | 0.296598i | \(0.904148\pi\) | |||||||
\(62\) | 3.98712 | + | 3.44535i | 0.506365 | + | 0.437560i | ||||
\(63\) | − | 6.59900i | − | 0.831396i | ||||||
\(64\) | −7.24962 | + | 3.38275i | −0.906203 | + | 0.422844i | ||||
\(65\) | − | 1.48277i | − | 0.183915i | ||||||
\(66\) | −2.39841 | + | 2.77555i | −0.295223 | + | 0.341646i | ||||
\(67\) | −0.208894 | − | 0.688630i | −0.0255204 | − | 0.0841296i | 0.943255 | − | 0.332069i | \(-0.107747\pi\) |
−0.968776 | + | 0.247939i | \(0.920247\pi\) | |||||||
\(68\) | 3.79089 | + | 0.956562i | 0.459713 | + | 0.116000i | ||||
\(69\) | −0.753046 | − | 7.64581i | −0.0906561 | − | 0.920447i | ||||
\(70\) | −2.35032 | − | 1.04427i | −0.280917 | − | 0.124814i | ||||
\(71\) | −3.79262 | − | 2.53415i | −0.450101 | − | 0.300748i | 0.309782 | − | 0.950808i | \(-0.399744\pi\) |
−0.759883 | + | 0.650059i | \(0.774744\pi\) | |||||||
\(72\) | 7.41476 | + | 7.09632i | 0.873838 | + | 0.836309i | ||||
\(73\) | 2.61761 | + | 3.91753i | 0.306368 | + | 0.458512i | 0.952423 | − | 0.304778i | \(-0.0985824\pi\) |
−0.646055 | + | 0.763291i | \(0.723582\pi\) | |||||||
\(74\) | −8.46888 | + | 12.0027i | −0.984487 | + | 1.39529i | ||||
\(75\) | 2.27061 | − | 1.21367i | 0.262187 | − | 0.140142i | ||||
\(76\) | −3.99316 | − | 3.63183i | −0.458047 | − | 0.416599i | ||||
\(77\) | −1.82334 | − | 0.179584i | −0.207789 | − | 0.0204655i | ||||
\(78\) | −5.20453 | + | 1.43543i | −0.589297 | + | 0.162530i | ||||
\(79\) | 0.590704 | + | 1.42609i | 0.0664594 | + | 0.160447i | 0.953620 | − | 0.301014i | \(-0.0973252\pi\) |
−0.887160 | + | 0.461462i | \(0.847325\pi\) | |||||||
\(80\) | 3.70081 | − | 1.51790i | 0.413763 | − | 0.169706i | ||||
\(81\) | −2.57120 | + | 6.20744i | −0.285689 | + | 0.689715i | ||||
\(82\) | −0.0584309 | + | 0.470385i | −0.00645261 | + | 0.0519454i | ||||
\(83\) | −7.63207 | + | 6.26348i | −0.837729 | + | 0.687506i | −0.952052 | − | 0.305937i | \(-0.901030\pi\) |
0.114323 | + | 0.993444i | \(0.463530\pi\) | |||||||
\(84\) | −1.39010 | + | 9.26057i | −0.151672 | + | 1.01041i | ||||
\(85\) | −1.87068 | − | 0.567465i | −0.202904 | − | 0.0615502i | ||||
\(86\) | 2.18681 | − | 9.69894i | 0.235810 | − | 1.04586i | ||||
\(87\) | 12.1220 | + | 2.41121i | 1.29961 | + | 0.258509i | ||||
\(88\) | 2.16254 | − | 1.85563i | 0.230528 | − | 0.197810i | ||||
\(89\) | 2.80472 | + | 14.1003i | 0.297300 | + | 1.49463i | 0.783837 | + | 0.620966i | \(0.213260\pi\) |
−0.486538 | + | 0.873659i | \(0.661740\pi\) | |||||||
\(90\) | −3.53527 | − | 3.71967i | −0.372650 | − | 0.392088i | ||||
\(91\) | −2.08446 | − | 1.71067i | −0.218511 | − | 0.179327i | ||||
\(92\) | −0.303184 | + | 5.96041i | −0.0316091 | + | 0.621416i | ||||
\(93\) | −4.52223 | + | 8.46050i | −0.468933 | + | 0.877313i | ||||
\(94\) | −0.660018 | − | 0.218676i | −0.0680756 | − | 0.0225547i | ||||
\(95\) | 1.90839 | + | 1.90839i | 0.195796 | + | 0.195796i | ||||
\(96\) | −8.91048 | − | 11.5204i | −0.909422 | − | 1.17580i | ||||
\(97\) | 10.3161 | − | 10.3161i | 1.04744 | − | 1.04744i | 0.0486199 | − | 0.998817i | \(-0.484518\pi\) |
0.998817 | − | 0.0486199i | \(-0.0154823\pi\) | |||||||
\(98\) | 4.66675 | − | 2.34397i | 0.471413 | − | 0.236777i | ||||
\(99\) | −3.22407 | − | 1.72330i | −0.324032 | − | 0.173198i | ||||
\(100\) | −1.88425 | + | 0.670511i | −0.188425 | + | 0.0670511i | ||||
\(101\) | 3.90588 | − | 4.75933i | 0.388650 | − | 0.473571i | −0.541527 | − | 0.840684i | \(-0.682154\pi\) |
0.930177 | + | 0.367112i | \(0.119654\pi\) | |||||||
\(102\) | −0.180851 | + | 7.11544i | −0.0179069 | + | 0.704534i | ||||
\(103\) | 1.02442 | − | 0.203769i | 0.100939 | − | 0.0200780i | −0.144362 | − | 0.989525i | \(-0.546113\pi\) |
0.245301 | + | 0.969447i | \(0.421113\pi\) | |||||||
\(104\) | 4.16369 | − | 0.502545i | 0.408284 | − | 0.0492786i | ||||
\(105\) | 0.913444 | − | 4.59219i | 0.0891430 | − | 0.448152i | ||||
\(106\) | 2.89189 | + | 4.57558i | 0.280886 | + | 0.444419i | ||||
\(107\) | −1.80406 | + | 5.94719i | −0.174405 | + | 0.574936i | 0.825539 | + | 0.564345i | \(0.190871\pi\) |
−0.999944 | + | 0.0105912i | \(0.996629\pi\) | |||||||
\(108\) | −1.66898 | + | 2.77360i | −0.160597 | + | 0.266889i | ||||
\(109\) | −4.15676 | − | 5.06503i | −0.398146 | − | 0.485142i | 0.534892 | − | 0.844920i | \(-0.320352\pi\) |
−0.933038 | + | 0.359778i | \(0.882852\pi\) | |||||||
\(110\) | −1.12398 | + | 0.875591i | −0.107167 | + | 0.0834843i | ||||
\(111\) | −24.7073 | − | 10.2341i | −2.34512 | − | 0.971379i | ||||
\(112\) | 2.13577 | − | 6.95374i | 0.201812 | − | 0.657067i | ||||
\(113\) | −11.1329 | + | 4.61139i | −1.04729 | + | 0.433804i | −0.838925 | − | 0.544247i | \(-0.816816\pi\) |
−0.208369 | + | 0.978050i | \(0.566816\pi\) | |||||||
\(114\) | 4.85099 | − | 8.54589i | 0.454337 | − | 0.800396i | ||||
\(115\) | 0.292489 | − | 2.96969i | 0.0272747 | − | 0.276925i | ||||
\(116\) | −9.03414 | − | 3.25016i | −0.838799 | − | 0.301770i | ||||
\(117\) | −2.53633 | − | 4.74513i | −0.234483 | − | 0.438688i | ||||
\(118\) | 19.1886 | − | 3.31238i | 1.76645 | − | 0.304930i | ||||
\(119\) | −2.95594 | + | 1.97509i | −0.270970 | + | 0.181057i | ||||
\(120\) | 4.17759 | + | 5.96464i | 0.381360 | + | 0.544494i | ||||
\(121\) | 5.54737 | − | 8.30223i | 0.504307 | − | 0.754748i | ||||
\(122\) | 0.136165 | − | 0.0523889i | 0.0123278 | − | 0.00474307i | ||||
\(123\) | −0.858776 | + | 0.0845821i | −0.0774332 | + | 0.00762651i | ||||
\(124\) | 4.44964 | − | 5.97794i | 0.399590 | − | 0.536835i | ||||
\(125\) | 0.956940 | − | 0.290285i | 0.0855913 | − | 0.0259639i | ||||
\(126\) | −9.30770 | + | 0.678459i | −0.829196 | + | 0.0604419i | ||||
\(127\) | −4.94265 | −0.438589 | −0.219295 | − | 0.975659i | \(-0.570376\pi\) | ||||
−0.219295 | + | 0.975659i | \(0.570376\pi\) | |||||||
\(128\) | 5.51662 | + | 9.87759i | 0.487605 | + | 0.873064i | ||||
\(129\) | 18.1004 | 1.59365 | ||||||||
\(130\) | −2.09141 | + | 0.152447i | −0.183429 | + | 0.0133705i | ||||
\(131\) | −11.3712 | + | 3.44941i | −0.993504 | + | 0.301376i | −0.744861 | − | 0.667219i | \(-0.767484\pi\) |
−0.248642 | + | 0.968595i | \(0.579984\pi\) | |||||||
\(132\) | 4.16142 | + | 3.09752i | 0.362205 | + | 0.269605i | ||||
\(133\) | 4.88449 | − | 0.481080i | 0.423539 | − | 0.0417149i | ||||
\(134\) | −0.949817 | + | 0.365438i | −0.0820517 | + | 0.0315691i | ||||
\(135\) | 0.899197 | − | 1.34574i | 0.0773906 | − | 0.115823i | ||||
\(136\) | 0.959453 | − | 5.44529i | 0.0822724 | − | 0.466930i | ||||
\(137\) | 14.6636 | − | 9.79787i | 1.25279 | − | 0.837089i | 0.261048 | − | 0.965326i | \(-0.415932\pi\) |
0.991744 | + | 0.128237i | \(0.0409319\pi\) | |||||||
\(138\) | −10.7068 | + | 1.84823i | −0.911421 | + | 0.157332i | ||||
\(139\) | 3.31027 | + | 6.19307i | 0.280773 | + | 0.525290i | 0.982291 | − | 0.187362i | \(-0.0599939\pi\) |
−0.701518 | + | 0.712652i | \(0.747494\pi\) | |||||||
\(140\) | −1.23127 | + | 3.42243i | −0.104061 | + | 0.289248i | ||||
\(141\) | 0.124071 | − | 1.25972i | 0.0104487 | − | 0.106087i | ||||
\(142\) | −3.18442 | + | 5.60993i | −0.267230 | + | 0.470775i | ||||
\(143\) | −1.38013 | + | 0.571669i | −0.115412 | + | 0.0478054i | ||||
\(144\) | 9.24683 | − | 11.1879i | 0.770569 | − | 0.932324i | ||||
\(145\) | 4.43509 | + | 1.83707i | 0.368314 | + | 0.152561i | ||||
\(146\) | 5.25644 | − | 4.09484i | 0.435026 | − | 0.338891i | ||||
\(147\) | 6.03143 | + | 7.34932i | 0.497464 | + | 0.606161i | ||||
\(148\) | 17.8002 | + | 10.7111i | 1.46317 | + | 0.880445i | ||||
\(149\) | 6.39537 | − | 21.0827i | 0.523929 | − | 1.72716i | −0.150298 | − | 0.988641i | \(-0.548023\pi\) |
0.674228 | − | 0.738523i | \(-0.264477\pi\) | |||||||
\(150\) | −1.94529 | − | 3.07785i | −0.158832 | − | 0.251305i | ||||
\(151\) | −3.36220 | + | 16.9029i | −0.273612 | + | 1.37554i | 0.562417 | + | 0.826853i | \(0.309871\pi\) |
−0.836029 | + | 0.548685i | \(0.815129\pi\) | |||||||
\(152\) | −4.71204 | + | 6.00563i | −0.382197 | + | 0.487121i | ||||
\(153\) | −6.95718 | + | 1.38387i | −0.562454 | + | 0.111879i | ||||
\(154\) | −0.0658353 | + | 2.59024i | −0.00530516 | + | 0.208727i | ||||
\(155\) | −2.36381 | + | 2.88031i | −0.189866 | + | 0.231352i | ||||
\(156\) | 2.55972 | + | 7.19327i | 0.204942 | + | 0.575922i | ||||
\(157\) | 20.6575 | + | 11.0417i | 1.64865 | + | 0.881221i | 0.991887 | + | 0.127122i | \(0.0405740\pi\) |
0.656761 | + | 0.754099i | \(0.271926\pi\) | |||||||
\(158\) | 1.95072 | − | 0.979791i | 0.155191 | − | 0.0779480i | ||||
\(159\) | −6.96800 | + | 6.96800i | −0.552599 | + | 0.552599i | ||||
\(160\) | −2.52144 | − | 5.06382i | −0.199338 | − | 0.400330i | ||||
\(161\) | −3.83731 | − | 3.83731i | −0.302422 | − | 0.302422i | ||||
\(162\) | 9.01976 | + | 2.98841i | 0.708660 | + | 0.234792i | ||||
\(163\) | 3.18011 | − | 5.94958i | 0.249086 | − | 0.466007i | −0.726042 | − | 0.687650i | \(-0.758642\pi\) |
0.975128 | + | 0.221644i | \(0.0711422\pi\) | |||||||
\(164\) | 0.669473 | + | 0.0340536i | 0.0522770 | + | 0.00265914i | ||||
\(165\) | −2.00507 | − | 1.64551i | −0.156094 | − | 0.128103i | ||||
\(166\) | 9.61913 | + | 10.1209i | 0.746590 | + | 0.785531i | ||||
\(167\) | 1.27524 | + | 6.41106i | 0.0986809 | + | 0.496102i | 0.998240 | + | 0.0593034i | \(0.0188879\pi\) |
−0.899559 | + | 0.436799i | \(0.856112\pi\) | |||||||
\(168\) | 13.2047 | + | 1.00860i | 1.01876 | + | 0.0778150i | ||||
\(169\) | 10.5938 | + | 2.10725i | 0.814911 | + | 0.162096i | ||||
\(170\) | −0.608064 | + | 2.69689i | −0.0466364 | + | 0.206842i | ||||
\(171\) | 9.37152 | + | 2.84282i | 0.716658 | + | 0.217396i | ||||
\(172\) | −13.9049 | − | 2.08726i | −1.06024 | − | 0.159152i | ||||
\(173\) | −10.7119 | + | 8.79107i | −0.814414 | + | 0.668373i | −0.946442 | − | 0.322873i | \(-0.895351\pi\) |
0.132028 | + | 0.991246i | \(0.457851\pi\) | |||||||
\(174\) | 2.15465 | − | 17.3456i | 0.163344 | − | 1.31497i | ||||
\(175\) | 0.695943 | − | 1.68015i | 0.0526083 | − | 0.127008i | ||||
\(176\) | −2.83964 | − | 2.85942i | −0.214046 | − | 0.215537i | ||||
\(177\) | 13.5661 | + | 32.7515i | 1.01969 | + | 2.46175i | ||||
\(178\) | 19.5997 | − | 5.40566i | 1.46906 | − | 0.405171i | ||||
\(179\) | −10.2350 | − | 1.00806i | −0.764998 | − | 0.0753457i | −0.292011 | − | 0.956415i | \(-0.594324\pi\) |
−0.472987 | + | 0.881069i | \(0.656824\pi\) | |||||||
\(180\) | −4.88302 | + | 5.36883i | −0.363959 | + | 0.400169i | ||||
\(181\) | 23.2235 | − | 12.4132i | 1.72619 | − | 0.922669i | 0.766217 | − | 0.642582i | \(-0.222137\pi\) |
0.959975 | − | 0.280087i | \(-0.0903633\pi\) | |||||||
\(182\) | −2.19855 | + | 3.11595i | −0.162967 | + | 0.230970i | ||||
\(183\) | 0.147563 | + | 0.220844i | 0.0109082 | + | 0.0163252i | ||||
\(184\) | 8.43816 | − | 0.185172i | 0.622070 | − | 0.0136510i | ||||
\(185\) | −8.63664 | − | 5.77082i | −0.634978 | − | 0.424279i | ||||
\(186\) | 12.3982 | + | 5.50863i | 0.909082 | + | 0.403913i | ||||
\(187\) | 0.193040 | + | 1.95997i | 0.0141165 | + | 0.143327i | ||||
\(188\) | −0.240578 | + | 0.953419i | −0.0175459 | + | 0.0695352i | ||||
\(189\) | −0.854425 | − | 2.81666i | −0.0621503 | − | 0.204882i | ||||
\(190\) | 2.49552 | − | 2.88793i | 0.181044 | − | 0.209512i | ||||
\(191\) | 13.0734i | 0.945955i | 0.881075 | + | 0.472977i | \(0.156821\pi\) | ||||
−0.881075 | + | 0.472977i | \(0.843179\pi\) | |||||||
\(192\) | −15.3331 | + | 13.7524i | −1.10657 | + | 0.992495i | ||||
\(193\) | 11.0915i | 0.798383i | 0.916868 | + | 0.399191i | \(0.130709\pi\) | ||||
−0.916868 | + | 0.399191i | \(0.869291\pi\) | |||||||
\(194\) | −15.6111 | − | 13.4899i | −1.12081 | − | 0.968518i | ||||
\(195\) | −1.10818 | − | 3.65318i | −0.0793585 | − | 0.261610i | ||||
\(196\) | −3.78590 | − | 6.34132i | −0.270422 | − | 0.452952i | ||||
\(197\) | −0.728791 | − | 7.39954i | −0.0519242 | − | 0.527195i | −0.985602 | − | 0.169081i | \(-0.945920\pi\) |
0.933678 | − | 0.358114i | \(-0.116580\pi\) | |||||||
\(198\) | −2.09920 | + | 4.72464i | −0.149183 | + | 0.335766i | ||||
\(199\) | −19.5326 | − | 13.0513i | −1.38463 | − | 0.925181i | −0.999998 | − | 0.00211235i | \(-0.999328\pi\) |
−0.384634 | − | 0.923069i | \(-0.625672\pi\) | |||||||
\(200\) | 1.13946 | + | 2.58875i | 0.0805721 | + | 0.183052i | ||||
\(201\) | −1.02933 | − | 1.54049i | −0.0726030 | − | 0.108658i | ||||
\(202\) | −7.11448 | − | 5.01982i | −0.500573 | − | 0.353193i | ||||
\(203\) | 7.69929 | − | 4.11535i | 0.540384 | − | 0.288841i | ||||
\(204\) | 10.0547 | − | 0.476470i | 0.703972 | − | 0.0333596i | ||||
\(205\) | −0.333555 | − | 0.0328523i | −0.0232965 | − | 0.00229451i | ||||
\(206\) | −0.392734 | − | 1.42396i | −0.0273631 | − | 0.0992121i | ||||
\(207\) | −4.14373 | − | 10.0038i | −0.288009 | − | 0.695315i | ||||
\(208\) | −1.13690 | − | 5.82110i | −0.0788301 | − | 0.403621i | ||||
\(209\) | 1.04052 | − | 2.51205i | 0.0719745 | − | 0.173762i | ||||
\(210\) | −6.57107 | − | 0.816252i | −0.453447 | − | 0.0563268i | ||||
\(211\) | 6.47764 | − | 5.31606i | 0.445939 | − | 0.365973i | −0.384460 | − | 0.923142i | \(-0.625612\pi\) |
0.830399 | + | 0.557169i | \(0.188112\pi\) | |||||||
\(212\) | 6.15640 | − | 4.54936i | 0.422823 | − | 0.312451i | ||||
\(213\) | −11.2380 | − | 3.40902i | −0.770018 | − | 0.233582i | ||||
\(214\) | 8.57382 | + | 1.93313i | 0.586094 | + | 0.132146i | ||||
\(215\) | 6.89526 | + | 1.37155i | 0.470253 | + | 0.0935391i | ||||
\(216\) | 4.08367 | + | 2.06889i | 0.277859 | + | 0.140770i | ||||
\(217\) | 1.32198 | + | 6.64602i | 0.0897416 | + | 0.451161i | ||||
\(218\) | −6.71672 | + | 6.38375i | −0.454913 | + | 0.432362i | ||||
\(219\) | 9.37700 | + | 7.69550i | 0.633639 | + | 0.520014i | ||||
\(220\) | 1.35055 | + | 1.49531i | 0.0910544 | + | 0.100814i | ||||
\(221\) | −1.36639 | + | 2.55634i | −0.0919136 | + | 0.171958i | ||||
\(222\) | −11.8947 | + | 35.9012i | −0.798321 | + | 2.40953i | ||||
\(223\) | 3.37110 | + | 3.37110i | 0.225746 | + | 0.225746i | 0.810913 | − | 0.585167i | \(-0.198971\pi\) |
−0.585167 | + | 0.810913i | \(0.698971\pi\) | |||||||
\(224\) | −10.0276 | − | 2.29752i | −0.670000 | − | 0.153509i | ||||
\(225\) | 2.56584 | − | 2.56584i | 0.171056 | − | 0.171056i | ||||
\(226\) | 7.64884 | + | 15.2285i | 0.508793 | + | 1.01299i | ||||
\(227\) | −9.63755 | − | 5.15138i | −0.639666 | − | 0.341909i | 0.119472 | − | 0.992838i | \(-0.461880\pi\) |
−0.759139 | + | 0.650929i | \(0.774380\pi\) | |||||||
\(228\) | −12.5525 | − | 5.96356i | −0.831308 | − | 0.394946i | ||||
\(229\) | 10.9257 | − | 13.3130i | 0.721992 | − | 0.879750i | −0.274657 | − | 0.961542i | \(-0.588564\pi\) |
0.996649 | + | 0.0817922i | \(0.0260644\pi\) | |||||||
\(230\) | −4.21873 | − | 0.107226i | −0.278175 | − | 0.00707030i | ||||
\(231\) | −4.62648 | + | 0.920265i | −0.304400 | + | 0.0605490i | ||||
\(232\) | −3.65544 | + | 13.0766i | −0.239991 | + | 0.858518i | ||||
\(233\) | 0.379717 | − | 1.90897i | 0.0248761 | − | 0.125061i | −0.966352 | − | 0.257224i | \(-0.917192\pi\) |
0.991228 | + | 0.132163i | \(0.0421923\pi\) | |||||||
\(234\) | −6.43211 | + | 4.06527i | −0.420480 | + | 0.265755i | ||||
\(235\) | 0.142719 | − | 0.470481i | 0.00930996 | − | 0.0306908i | ||||
\(236\) | −6.64484 | − | 26.7244i | −0.432543 | − | 1.73961i | ||||
\(237\) | 2.52117 | + | 3.07205i | 0.163767 | + | 0.199551i | ||||
\(238\) | 3.08972 | + | 3.96620i | 0.200277 | + | 0.257091i | ||||
\(239\) | −8.26138 | − | 3.42198i | −0.534384 | − | 0.221349i | 0.0991378 | − | 0.995074i | \(-0.468392\pi\) |
−0.633522 | + | 0.773724i | \(0.718392\pi\) | |||||||
\(240\) | 7.98344 | − | 6.50561i | 0.515329 | − | 0.419935i | ||||
\(241\) | −18.9723 | + | 7.85857i | −1.22211 | + | 0.506215i | −0.898080 | − | 0.439832i | \(-0.855038\pi\) |
−0.324030 | + | 0.946047i | \(0.605038\pi\) | |||||||
\(242\) | −12.2804 | − | 6.97084i | −0.789414 | − | 0.448103i | ||||
\(243\) | −2.17148 | + | 22.0474i | −0.139300 | + | 1.41434i | ||||
\(244\) | −0.0878925 | − | 0.186670i | −0.00562674 | − | 0.0119504i | ||||
\(245\) | 1.74075 | + | 3.25671i | 0.111212 | + | 0.208064i | ||||
\(246\) | 0.207593 | + | 1.20258i | 0.0132357 | + | 0.0766739i | ||||
\(247\) | 3.32738 | − | 2.22328i | 0.211716 | − | 0.141464i | ||||
\(248\) | −8.88919 | − | 5.66149i | −0.564464 | − | 0.359505i | ||||
\(249\) | −14.1224 | + | 21.1357i | −0.894971 | + | 1.33942i | ||||
\(250\) | −0.507824 | − | 1.31989i | −0.0321176 | − | 0.0834773i | ||||
\(251\) | 4.66150 | − | 0.459117i | 0.294231 | − | 0.0289792i | 0.0501753 | − | 0.998740i | \(-0.484022\pi\) |
0.244056 | + | 0.969761i | \(0.421522\pi\) | |||||||
\(252\) | 1.91389 | + | 13.0585i | 0.120564 | + | 0.822608i | ||||
\(253\) | −2.87689 | + | 0.872695i | −0.180869 | + | 0.0548659i | ||||
\(254\) | 0.508166 | + | 6.97147i | 0.0318851 | + | 0.437429i | ||||
\(255\) | −5.03300 | −0.315179 | ||||||||
\(256\) | 13.3649 | − | 8.79658i | 0.835305 | − | 0.549786i | ||||
\(257\) | 4.09527 | 0.255456 | 0.127728 | − | 0.991809i | \(-0.459232\pi\) | ||||
0.127728 | + | 0.991809i | \(0.459232\pi\) | |||||||
\(258\) | −1.86095 | − | 25.5301i | −0.115858 | − | 1.58944i | ||||
\(259\) | −18.0766 | + | 5.48348i | −1.12323 | + | 0.340727i | ||||
\(260\) | 0.430045 | + | 2.93420i | 0.0266703 | + | 0.181971i | ||||
\(261\) | 17.3354 | − | 1.70739i | 1.07304 | − | 0.105685i | ||||
\(262\) | 6.03439 | + | 15.6841i | 0.372806 | + | 0.968965i | ||||
\(263\) | −6.96230 | + | 10.4198i | −0.429314 | + | 0.642513i | −0.981557 | − | 0.191170i | \(-0.938772\pi\) |
0.552243 | + | 0.833683i | \(0.313772\pi\) | |||||||
\(264\) | 3.94112 | − | 6.18802i | 0.242559 | − | 0.380846i | ||||
\(265\) | −3.18242 | + | 2.12643i | −0.195495 | + | 0.130625i | ||||
\(266\) | −1.18073 | − | 6.83997i | −0.0723955 | − | 0.419385i | ||||
\(267\) | 17.4483 | + | 32.6434i | 1.06782 | + | 1.99774i | ||||
\(268\) | 0.613093 | + | 1.30212i | 0.0374506 | + | 0.0795395i | ||||
\(269\) | −0.175739 | + | 1.78430i | −0.0107150 | + | 0.108791i | −0.999055 | − | 0.0434752i | \(-0.986157\pi\) |
0.988340 | + | 0.152266i | \(0.0486571\pi\) | |||||||
\(270\) | −1.99058 | − | 1.12993i | −0.121143 | − | 0.0687655i | ||||
\(271\) | −25.1023 | + | 10.3977i | −1.52485 | + | 0.631616i | −0.978557 | − | 0.205976i | \(-0.933963\pi\) |
−0.546298 | + | 0.837591i | \(0.683963\pi\) | |||||||
\(272\) | −7.77907 | − | 0.793438i | −0.471675 | − | 0.0481092i | ||||
\(273\) | −6.41410 | − | 2.65681i | −0.388199 | − | 0.160797i | ||||
\(274\) | −15.3272 | − | 19.6752i | −0.925951 | − | 1.18862i | ||||
\(275\) | −0.639130 | − | 0.778783i | −0.0385410 | − | 0.0469624i | ||||
\(276\) | 3.70767 | + | 14.9116i | 0.223176 | + | 0.897571i | ||||
\(277\) | 4.96782 | − | 16.3767i | 0.298487 | − | 0.983981i | −0.671536 | − | 0.740972i | \(-0.734365\pi\) |
0.970024 | − | 0.243010i | \(-0.0781347\pi\) | |||||||
\(278\) | 8.39482 | − | 5.30576i | 0.503488 | − | 0.318218i | ||||
\(279\) | −2.63775 | + | 13.2609i | −0.157918 | + | 0.793907i | ||||
\(280\) | 4.95382 | + | 1.38480i | 0.296048 | + | 0.0827575i | ||||
\(281\) | −26.6269 | + | 5.29643i | −1.58843 | + | 0.315958i | −0.908683 | − | 0.417488i | \(-0.862911\pi\) |
−0.679748 | + | 0.733446i | \(0.737911\pi\) | |||||||
\(282\) | −1.78955 | − | 0.0454846i | −0.106566 | − | 0.00270857i | ||||
\(283\) | 19.4417 | − | 23.6898i | 1.15569 | − | 1.40821i | 0.258816 | − | 0.965927i | \(-0.416668\pi\) |
0.896874 | − | 0.442286i | \(-0.145832\pi\) | |||||||
\(284\) | 8.24004 | + | 3.91476i | 0.488956 | + | 0.232298i | ||||
\(285\) | 6.12806 | + | 3.27552i | 0.362995 | + | 0.194025i | ||||
\(286\) | 0.948218 | + | 1.88786i | 0.0560693 | + | 0.111632i | ||||
\(287\) | −0.431006 | + | 0.431006i | −0.0254415 | + | 0.0254415i | ||||
\(288\) | −16.7309 | − | 11.8921i | −0.985877 | − | 0.700750i | ||||
\(289\) | −9.31863 | − | 9.31863i | −0.548155 | − | 0.548155i | ||||
\(290\) | 2.13516 | − | 6.44444i | 0.125381 | − | 0.378430i | ||||
\(291\) | 17.7063 | − | 33.1262i | 1.03796 | − | 1.94189i | ||||
\(292\) | −6.31608 | − | 6.99306i | −0.369620 | − | 0.409238i | ||||
\(293\) | −2.63121 | − | 2.15938i | −0.153717 | − | 0.126152i | 0.554391 | − | 0.832256i | \(-0.312951\pi\) |
−0.708108 | + | 0.706104i | \(0.750451\pi\) | |||||||
\(294\) | 9.74589 | − | 9.26276i | 0.568392 | − | 0.540215i | ||||
\(295\) | 2.68620 | + | 13.5045i | 0.156397 | + | 0.786260i | ||||
\(296\) | 13.2776 | − | 26.2080i | 0.771744 | − | 1.52331i | ||||
\(297\) | −1.59927 | − | 0.318114i | −0.0927988 | − | 0.0184588i | ||||
\(298\) | −30.3941 | − | 6.85293i | −1.76068 | − | 0.396979i | ||||
\(299\) | −4.23415 | − | 1.28442i | −0.244867 | − | 0.0742797i | ||||
\(300\) | −4.14122 | + | 3.06021i | −0.239093 | + | 0.176681i | ||||
\(301\) | 9.88316 | − | 8.11090i | 0.569656 | − | 0.467505i | ||||
\(302\) | 24.1867 | + | 3.00445i | 1.39179 | + | 0.172887i | ||||
\(303\) | 6.06614 | − | 14.6450i | 0.348491 | − | 0.841331i | ||||
\(304\) | 8.95523 | + | 6.02875i | 0.513618 | + | 0.345772i | ||||
\(305\) | 0.0394790 | + | 0.0953108i | 0.00226056 | + | 0.00545748i | ||||
\(306\) | 2.66719 | + | 9.67062i | 0.152473 | + | 0.552833i | ||||
\(307\) | −11.6462 | − | 1.14705i | −0.664686 | − | 0.0654658i | −0.239953 | − | 0.970785i | \(-0.577132\pi\) |
−0.424733 | + | 0.905319i | \(0.639632\pi\) | |||||||
\(308\) | 3.66022 | − | 0.173450i | 0.208561 | − | 0.00988321i | ||||
\(309\) | 2.37162 | − | 1.26766i | 0.134917 | − | 0.0721145i | ||||
\(310\) | 4.30562 | + | 3.03795i | 0.244543 | + | 0.172544i | ||||
\(311\) | −12.5582 | − | 18.7947i | −0.712109 | − | 1.06575i | −0.994324 | − | 0.106396i | \(-0.966069\pi\) |
0.282214 | − | 0.959351i | \(-0.408931\pi\) | |||||||
\(312\) | 9.88273 | − | 4.34997i | 0.559499 | − | 0.246269i | ||||
\(313\) | −19.5465 | − | 13.0606i | −1.10483 | − | 0.738227i | −0.137190 | − | 0.990545i | \(-0.543807\pi\) |
−0.967644 | + | 0.252318i | \(0.918807\pi\) | |||||||
\(314\) | 13.4501 | − | 30.2720i | 0.759033 | − | 1.70835i | ||||
\(315\) | −0.646815 | − | 6.56722i | −0.0364439 | − | 0.370021i | ||||
\(316\) | −1.58253 | − | 2.65070i | −0.0890240 | − | 0.149114i | ||||
\(317\) | −4.51494 | − | 14.8838i | −0.253585 | − | 0.835956i | −0.987623 | − | 0.156848i | \(-0.949867\pi\) |
0.734038 | − | 0.679108i | \(-0.237633\pi\) | |||||||
\(318\) | 10.5446 | + | 9.11177i | 0.591310 | + | 0.510963i | ||||
\(319\) | − | 4.83635i | − | 0.270784i | ||||||
\(320\) | −6.88314 | + | 4.07705i | −0.384779 | + | 0.227914i | ||||
\(321\) | 16.0007i | 0.893072i | ||||||||
\(322\) | −5.01789 | + | 5.80693i | −0.279636 | + | 0.323608i | ||||
\(323\) | −1.53151 | − | 5.04872i | −0.0852156 | − | 0.280918i | ||||
\(324\) | 3.28772 | − | 13.0294i | 0.182651 | − | 0.723854i | ||||
\(325\) | −0.145337 | − | 1.47563i | −0.00806185 | − | 0.0818533i | ||||
\(326\) | −8.71866 | − | 3.87377i | −0.482882 | − | 0.214548i | ||||
\(327\) | −14.0267 | − | 9.37234i | −0.775678 | − | 0.518292i | ||||
\(328\) | −0.0207985 | − | 0.947773i | −0.00114840 | − | 0.0523320i | ||||
\(329\) | −0.496741 | − | 0.743426i | −0.0273862 | − | 0.0409864i | ||||
\(330\) | −2.11481 | + | 2.99727i | −0.116416 | + | 0.164994i | ||||
\(331\) | 26.8301 | − | 14.3410i | 1.47472 | − | 0.788252i | 0.478747 | − | 0.877953i | \(-0.341091\pi\) |
0.995969 | + | 0.0897005i | \(0.0285910\pi\) | |||||||
\(332\) | 13.2862 | − | 14.6081i | 0.729176 | − | 0.801722i | ||||
\(333\) | −37.5099 | − | 3.69441i | −2.05553 | − | 0.202452i | ||||
\(334\) | 8.91150 | − | 2.45782i | 0.487616 | − | 0.134486i | ||||
\(335\) | −0.275385 | − | 0.664839i | −0.0150459 | − | 0.0363241i | ||||
\(336\) | 0.0649924 | − | 18.7285i | 0.00354562 | − | 1.02172i | ||||
\(337\) | 2.34353 | − | 5.65778i | 0.127660 | − | 0.308199i | −0.847107 | − | 0.531422i | \(-0.821658\pi\) |
0.974767 | + | 0.223223i | \(0.0716578\pi\) | |||||||
\(338\) | 1.88303 | − | 15.1590i | 0.102423 | − | 0.824539i | ||||
\(339\) | −23.9823 | + | 19.6817i | −1.30254 | + | 1.06897i | ||||
\(340\) | 3.86640 | + | 0.580384i | 0.209685 | + | 0.0314757i | ||||
\(341\) | 3.59228 | + | 1.08970i | 0.194533 | + | 0.0590108i | ||||
\(342\) | 3.04621 | − | 13.5105i | 0.164720 | − | 0.730567i | ||||
\(343\) | 19.0720 | + | 3.79366i | 1.02979 | + | 0.204839i | ||||
\(344\) | −1.51443 | + | 19.8271i | −0.0816524 | + | 1.06900i | ||||
\(345\) | −1.49884 | − | 7.53518i | −0.0806949 | − | 0.405680i | ||||
\(346\) | 13.5009 | + | 14.2051i | 0.725811 | + | 0.763669i | ||||
\(347\) | −4.61441 | − | 3.78694i | −0.247714 | − | 0.203294i | 0.502340 | − | 0.864670i | \(-0.332473\pi\) |
−0.750054 | + | 0.661376i | \(0.769973\pi\) | |||||||
\(348\) | −24.6870 | − | 1.25574i | −1.32336 | − | 0.0673145i | ||||
\(349\) | −12.2202 | + | 22.8624i | −0.654133 | + | 1.22380i | 0.308044 | + | 0.951372i | \(0.400326\pi\) |
−0.962177 | + | 0.272425i | \(0.912174\pi\) | |||||||
\(350\) | −2.44136 | − | 0.808867i | −0.130496 | − | 0.0432357i | ||||
\(351\) | −1.69697 | − | 1.69697i | −0.0905778 | − | 0.0905778i | ||||
\(352\) | −3.74118 | + | 4.29922i | −0.199405 | + | 0.229149i | ||||
\(353\) | −2.25857 | + | 2.25857i | −0.120212 | + | 0.120212i | −0.764653 | − | 0.644442i | \(-0.777090\pi\) |
0.644442 | + | 0.764653i | \(0.277090\pi\) | |||||||
\(354\) | 44.8003 | − | 22.5019i | 2.38111 | − | 1.19596i | ||||
\(355\) | −4.02275 | − | 2.15020i | −0.213505 | − | 0.114121i | ||||
\(356\) | −9.63961 | − | 27.0890i | −0.510898 | − | 1.43571i | ||||
\(357\) | −5.80657 | + | 7.07533i | −0.307316 | + | 0.374466i | ||||
\(358\) | −0.369553 | + | 14.5398i | −0.0195315 | + | 0.768451i | ||||
\(359\) | −35.7579 | + | 7.11269i | −1.88723 | + | 0.375394i | −0.996815 | − | 0.0797528i | \(-0.974587\pi\) |
−0.890417 | + | 0.455146i | \(0.849587\pi\) | |||||||
\(360\) | 8.07461 | + | 6.33537i | 0.425570 | + | 0.333904i | ||||
\(361\) | 2.28570 | − | 11.4910i | 0.120300 | − | 0.604790i | ||||
\(362\) | −19.8962 | − | 31.4799i | −1.04572 | − | 1.65455i | ||||
\(363\) | 7.46251 | − | 24.6006i | 0.391680 | − | 1.29120i | ||||
\(364\) | 4.62100 | + | 2.78063i | 0.242206 | + | 0.145745i | ||||
\(365\) | 2.98899 | + | 3.64210i | 0.156451 | + | 0.190636i | ||||
\(366\) | 0.296323 | − | 0.230839i | 0.0154890 | − | 0.0120662i | ||||
\(367\) | −27.0678 | − | 11.2119i | −1.41293 | − | 0.585255i | −0.459856 | − | 0.887993i | \(-0.652099\pi\) |
−0.953074 | + | 0.302739i | \(0.902099\pi\) | |||||||
\(368\) | −1.12873 | − | 11.8827i | −0.0588390 | − | 0.619431i | ||||
\(369\) | −1.12363 | + | 0.465423i | −0.0584939 | + | 0.0242290i | ||||
\(370\) | −7.25162 | + | 12.7750i | −0.376994 | + | 0.664143i | ||||
\(371\) | −0.682256 | + | 6.92706i | −0.0354209 | + | 0.359635i | ||||
\(372\) | 6.49508 | − | 18.0537i | 0.336754 | − | 0.936041i | ||||
\(373\) | 3.83681 | + | 7.17817i | 0.198663 | + | 0.371672i | 0.961451 | − | 0.274977i | \(-0.0886701\pi\) |
−0.762788 | + | 0.646648i | \(0.776170\pi\) | |||||||
\(374\) | 2.74464 | − | 0.473787i | 0.141922 | − | 0.0244989i | ||||
\(375\) | 2.14071 | − | 1.43038i | 0.110546 | − | 0.0738645i | ||||
\(376\) | 1.36950 | + | 0.241305i | 0.0706268 | + | 0.0124443i | ||||
\(377\) | 3.95458 | − | 5.91844i | 0.203671 | − | 0.304815i | ||||
\(378\) | −3.88497 | + | 1.49473i | −0.199822 | + | 0.0768806i | ||||
\(379\) | −2.97619 | + | 0.293129i | −0.152876 | + | 0.0150570i | −0.174166 | − | 0.984716i | \(-0.555723\pi\) |
0.0212894 | + | 0.999773i | \(0.493223\pi\) | |||||||
\(380\) | −4.32991 | − | 3.22294i | −0.222120 | − | 0.165333i | ||||
\(381\) | −12.1775 | + | 3.69400i | −0.623871 | + | 0.189249i | ||||
\(382\) | 18.4396 | − | 1.34410i | 0.943452 | − | 0.0687703i | ||||
\(383\) | −8.35886 | −0.427118 | −0.213559 | − | 0.976930i | \(-0.568506\pi\) | ||||
−0.213559 | + | 0.976930i | \(0.568506\pi\) | |||||||
\(384\) | 20.9738 | + | 20.2130i | 1.07032 | + | 1.03149i | ||||
\(385\) | −1.83217 | −0.0933758 | ||||||||
\(386\) | 15.6442 | − | 1.14034i | 0.796270 | − | 0.0580419i | ||||
\(387\) | 24.4121 | − | 7.40534i | 1.24094 | − | 0.376434i | ||||
\(388\) | −17.4221 | + | 23.4060i | −0.884472 | + | 1.18826i | ||||
\(389\) | −6.22093 | + | 0.612708i | −0.315414 | + | 0.0310655i | −0.254485 | − | 0.967077i | \(-0.581906\pi\) |
−0.0609283 | + | 0.998142i | \(0.519406\pi\) | |||||||
\(390\) | −5.03878 | + | 1.93865i | −0.255148 | + | 0.0981674i | ||||
\(391\) | −3.24087 | + | 4.85030i | −0.163898 | + | 0.245290i | ||||
\(392\) | −8.55502 | + | 5.99187i | −0.432094 | + | 0.302635i | ||||
\(393\) | −25.4378 | + | 16.9970i | −1.28317 | + | 0.857384i | ||||
\(394\) | −10.3619 | + | 1.78870i | −0.522025 | + | 0.0901135i | ||||
\(395\) | 0.727641 | + | 1.36132i | 0.0366116 | + | 0.0684955i | ||||
\(396\) | 6.87979 | + | 2.47510i | 0.345723 | + | 0.124379i | ||||
\(397\) | 1.36542 | − | 13.8633i | 0.0685285 | − | 0.695781i | −0.898133 | − | 0.439724i | \(-0.855076\pi\) |
0.966662 | − | 0.256057i | \(-0.0824236\pi\) | |||||||
\(398\) | −16.4003 | + | 28.8921i | −0.822072 | + | 1.44823i | ||||
\(399\) | 11.6746 | − | 4.83579i | 0.584462 | − | 0.242092i | ||||
\(400\) | 3.53421 | − | 1.87333i | 0.176710 | − | 0.0936667i | ||||
\(401\) | −19.8938 | − | 8.24027i | −0.993448 | − | 0.411500i | −0.174058 | − | 0.984735i | \(-0.555688\pi\) |
−0.819390 | + | 0.573236i | \(0.805688\pi\) | |||||||
\(402\) | −2.06700 | + | 1.61022i | −0.103092 | + | 0.0803103i | ||||
\(403\) | 3.50499 | + | 4.27084i | 0.174596 | + | 0.212746i | ||||
\(404\) | −6.34885 | + | 10.5509i | −0.315867 | + | 0.524925i | ||||
\(405\) | −1.95039 | + | 6.42957i | −0.0969156 | + | 0.319488i | ||||
\(406\) | −6.59617 | − | 10.4365i | −0.327362 | − | 0.517955i | ||||
\(407\) | −2.04157 | + | 10.2637i | −0.101197 | + | 0.508752i | ||||
\(408\) | −1.70580 | − | 14.1329i | −0.0844496 | − | 0.699684i | ||||
\(409\) | −29.6496 | + | 5.89768i | −1.46608 | + | 0.291621i | −0.862653 | − | 0.505797i | \(-0.831199\pi\) |
−0.603427 | + | 0.797418i | \(0.706199\pi\) | |||||||
\(410\) | −0.0120437 | + | 0.473848i | −0.000594794 | + | 0.0234017i | ||||
\(411\) | 28.8047 | − | 35.0986i | 1.42083 | − | 1.73129i | ||||
\(412\) | −1.96808 | + | 0.700340i | −0.0969603 | + | 0.0345033i | ||||
\(413\) | 22.0835 | + | 11.8039i | 1.08666 | + | 0.580830i | ||||
\(414\) | −13.6841 | + | 6.87313i | −0.672537 | + | 0.337796i | ||||
\(415\) | −6.98140 | + | 6.98140i | −0.342703 | + | 0.342703i | ||||
\(416\) | −8.09361 | + | 2.20205i | −0.396822 | + | 0.107964i | ||||
\(417\) | 12.7842 | + | 12.7842i | 0.626045 | + | 0.626045i | ||||
\(418\) | −3.65015 | − | 1.20936i | −0.178535 | − | 0.0591517i | ||||
\(419\) | −7.04102 | + | 13.1728i | −0.343977 | + | 0.643535i | −0.993116 | − | 0.117135i | \(-0.962629\pi\) |
0.649140 | + | 0.760669i | \(0.275129\pi\) | |||||||
\(420\) | −0.475713 | + | 9.35223i | −0.0232124 | + | 0.456342i | ||||
\(421\) | −4.16939 | − | 3.42173i | −0.203204 | − | 0.166765i | 0.527288 | − | 0.849687i | \(-0.323209\pi\) |
−0.730491 | + | 0.682922i | \(0.760709\pi\) | |||||||
\(422\) | −8.16414 | − | 8.58997i | −0.397424 | − | 0.418153i | ||||
\(423\) | −0.348047 | − | 1.74975i | −0.0169226 | − | 0.0850757i | ||||
\(424\) | −7.04970 | − | 8.21569i | −0.342364 | − | 0.398989i | ||||
\(425\) | −1.91729 | − | 0.381374i | −0.0930025 | − | 0.0184993i | ||||
\(426\) | −3.65292 | + | 16.2014i | −0.176984 | + | 0.784961i | ||||
\(427\) | 0.179533 | + | 0.0544609i | 0.00868823 | + | 0.00263555i | ||||
\(428\) | 1.84513 | − | 12.2919i | 0.0891878 | − | 0.594150i | ||||
\(429\) | −2.97306 | + | 2.43992i | −0.143540 | + | 0.117801i | ||||
\(430\) | 1.22562 | − | 9.86658i | 0.0591045 | − | 0.475809i | ||||
\(431\) | −10.6845 | + | 25.7946i | −0.514653 | + | 1.24248i | 0.426496 | + | 0.904490i | \(0.359748\pi\) |
−0.941149 | + | 0.337993i | \(0.890252\pi\) | |||||||
\(432\) | 2.49825 | − | 5.97261i | 0.120197 | − | 0.287357i | ||||
\(433\) | −0.0680172 | − | 0.164208i | −0.00326870 | − | 0.00789133i | 0.922237 | − | 0.386626i | \(-0.126359\pi\) |
−0.925505 | + | 0.378734i | \(0.876359\pi\) | |||||||
\(434\) | 9.23811 | − | 2.54790i | 0.443443 | − | 0.122303i | ||||
\(435\) | 12.2999 | + | 1.21144i | 0.589737 | + | 0.0580840i | ||||
\(436\) | 9.69465 | + | 8.81741i | 0.464290 | + | 0.422277i | ||||
\(437\) | 7.10262 | − | 3.79643i | 0.339764 | − | 0.181608i | ||||
\(438\) | 9.89022 | − | 14.0172i | 0.472573 | − | 0.669767i | ||||
\(439\) | 2.14776 | + | 3.21435i | 0.102507 | + | 0.153413i | 0.879177 | − | 0.476495i | \(-0.158093\pi\) |
−0.776670 | + | 0.629907i | \(0.783093\pi\) | |||||||
\(440\) | 1.97024 | − | 2.05866i | 0.0939277 | − | 0.0981426i | ||||
\(441\) | 11.1414 | + | 7.44445i | 0.530543 | + | 0.354497i | ||||
\(442\) | 3.74613 | + | 1.66444i | 0.178185 | + | 0.0791691i | ||||
\(443\) | −0.142147 | − | 1.44325i | −0.00675363 | − | 0.0685707i | 0.991217 | − | 0.132244i | \(-0.0422183\pi\) |
−0.997971 | + | 0.0636736i | \(0.979718\pi\) | |||||||
\(444\) | 51.8605 | + | 13.0861i | 2.46119 | + | 0.621037i | ||||
\(445\) | 4.17328 | + | 13.7575i | 0.197832 | + | 0.652166i | ||||
\(446\) | 4.40825 | − | 5.10143i | 0.208737 | − | 0.241560i | ||||
\(447\) | − | 56.7223i | − | 2.68287i | ||||||
\(448\) | −2.20962 | + | 14.3799i | −0.104395 | + | 0.679387i | ||||
\(449\) | − | 15.8998i | − | 0.750357i | −0.926953 | − | 0.375179i | \(-0.877581\pi\) | ||
0.926953 | − | 0.375179i | \(-0.122419\pi\) | |||||||
\(450\) | −3.88284 | − | 3.35524i | −0.183039 | − | 0.158168i | ||||
\(451\) | 0.0980210 | + | 0.323132i | 0.00461563 | + | 0.0152157i | ||||
\(452\) | 20.6930 | − | 12.3542i | 0.973317 | − | 0.581090i | ||||
\(453\) | 4.34912 | + | 44.1574i | 0.204340 | + | 2.07469i | ||||
\(454\) | −6.27501 | + | 14.1231i | −0.294501 | + | 0.662830i | ||||
\(455\) | −2.24210 | − | 1.49812i | −0.105111 | − | 0.0702330i | ||||
\(456\) | −7.12087 | + | 18.3180i | −0.333465 | + | 0.857821i | ||||
\(457\) | −2.71890 | − | 4.06912i | −0.127185 | − | 0.190345i | 0.762412 | − | 0.647091i | \(-0.224015\pi\) |
−0.889597 | + | 0.456746i | \(0.849015\pi\) | |||||||
\(458\) | −19.9010 | − | 14.0417i | −0.929910 | − | 0.656125i | ||||
\(459\) | −2.79036 | + | 1.49148i | −0.130243 | + | 0.0696163i | ||||
\(460\) | 0.282498 | + | 5.96143i | 0.0131716 | + | 0.277953i | ||||
\(461\) | −20.6437 | − | 2.03323i | −0.961473 | − | 0.0946969i | −0.394914 | − | 0.918718i | \(-0.629226\pi\) |
−0.566559 | + | 0.824021i | \(0.691726\pi\) | |||||||
\(462\) | 1.77367 | + | 6.43091i | 0.0825185 | + | 0.299193i | ||||
\(463\) | 13.5357 | + | 32.6781i | 0.629059 | + | 1.51868i | 0.840794 | + | 0.541355i | \(0.182088\pi\) |
−0.211735 | + | 0.977327i | \(0.567912\pi\) | |||||||
\(464\) | 18.8199 | + | 3.81146i | 0.873694 | + | 0.176943i | ||||
\(465\) | −3.67118 | + | 8.86301i | −0.170247 | + | 0.411012i | ||||
\(466\) | −2.73158 | − | 0.339315i | −0.126538 | − | 0.0157184i | ||||
\(467\) | 20.7958 | − | 17.0666i | 0.962313 | − | 0.789750i | −0.0153599 | − | 0.999882i | \(-0.504889\pi\) |
0.977673 | + | 0.210132i | \(0.0673894\pi\) | |||||||
\(468\) | 6.39525 | + | 8.65434i | 0.295621 | + | 0.400047i | ||||
\(469\) | −1.25233 | − | 0.379891i | −0.0578274 | − | 0.0175418i | ||||
\(470\) | −0.678274 | − | 0.152930i | −0.0312864 | − | 0.00705412i | ||||
\(471\) | 59.1472 | + | 11.7651i | 2.72536 | + | 0.542108i | ||||
\(472\) | −37.0108 | + | 12.1200i | −1.70356 | + | 0.557866i | ||||
\(473\) | −1.38179 | − | 6.94675i | −0.0635350 | − | 0.319412i | ||||
\(474\) | 4.07383 | − | 3.87188i | 0.187117 | − | 0.177841i | ||||
\(475\) | 2.08625 | + | 1.71214i | 0.0957238 | + | 0.0785585i | ||||
\(476\) | 5.27655 | − | 4.76574i | 0.241850 | − | 0.218437i | ||||
\(477\) | −6.54699 | + | 12.2486i | −0.299766 | + | 0.560823i | ||||
\(478\) | −3.97723 | + | 12.0043i | −0.181914 | + | 0.549062i | ||||
\(479\) | 25.4923 | + | 25.4923i | 1.16477 | + | 1.16477i | 0.983418 | + | 0.181353i | \(0.0580476\pi\) |
0.181353 | + | 0.983418i | \(0.441952\pi\) | |||||||
\(480\) | −9.99677 | − | 10.5916i | −0.456288 | − | 0.483436i | ||||
\(481\) | −10.8907 | + | 10.8907i | −0.496575 | + | 0.496575i | ||||
\(482\) | 13.0349 | + | 25.9519i | 0.593722 | + | 1.18208i | ||||
\(483\) | −12.3221 | − | 6.58628i | −0.560673 | − | 0.299686i | ||||
\(484\) | −8.56959 | + | 18.0378i | −0.389527 | + | 0.819902i | ||||
\(485\) | 9.25523 | − | 11.2775i | 0.420259 | − | 0.512087i | ||||
\(486\) | 31.3205 | + | 0.796064i | 1.42073 | + | 0.0361102i | ||||
\(487\) | 30.2410 | − | 6.01531i | 1.37035 | − | 0.272580i | 0.545585 | − | 0.838055i | \(-0.316307\pi\) |
0.824765 | + | 0.565476i | \(0.191307\pi\) | |||||||
\(488\) | −0.254257 | + | 0.143162i | −0.0115097 | + | 0.00648064i | ||||
\(489\) | 3.38847 | − | 17.0350i | 0.153232 | − | 0.770350i | ||||
\(490\) | 4.41453 | − | 2.79010i | 0.199428 | − | 0.126044i | ||||
\(491\) | −2.34349 | + | 7.72546i | −0.105760 | + | 0.348645i | −0.993809 | − | 0.111105i | \(-0.964561\pi\) |
0.888048 | + | 0.459750i | \(0.152061\pi\) | |||||||
\(492\) | 1.67487 | − | 0.416445i | 0.0755088 | − | 0.0187748i | ||||
\(493\) | −5.95333 | − | 7.25416i | −0.268125 | − | 0.326711i | ||||
\(494\) | −3.47797 | − | 4.46459i | −0.156481 | − | 0.200871i | ||||
\(495\) | −3.37746 | − | 1.39899i | −0.151806 | − | 0.0628799i | ||||
\(496\) | −7.07145 | + | 13.1200i | −0.317517 | + | 0.589107i | ||||
\(497\) | −7.66377 | + | 3.17444i | −0.343767 | + | 0.142393i | ||||
\(498\) | 31.2632 | + | 17.7462i | 1.40094 | + | 0.795228i | ||||
\(499\) | 1.52480 | − | 15.4816i | 0.0682595 | − | 0.693051i | −0.898776 | − | 0.438408i | \(-0.855542\pi\) |
0.967035 | − | 0.254642i | \(-0.0819577\pi\) | |||||||
\(500\) | −1.80946 | + | 0.851972i | −0.0809215 | + | 0.0381013i | ||||
\(501\) | 7.93331 | + | 14.8422i | 0.354434 | + | 0.663100i | ||||
\(502\) | −1.12683 | − | 6.52770i | −0.0502929 | − | 0.291346i | ||||
\(503\) | 27.5303 | − | 18.3952i | 1.22752 | − | 0.820200i | 0.238957 | − | 0.971030i | \(-0.423195\pi\) |
0.988560 | + | 0.150830i | \(0.0481946\pi\) | |||||||
\(504\) | 18.2219 | − | 4.04207i | 0.811666 | − | 0.180048i | ||||
\(505\) | 3.42058 | − | 5.11926i | 0.152214 | − | 0.227804i | ||||
\(506\) | 1.52669 | + | 3.96805i | 0.0678697 | + | 0.176401i | ||||
\(507\) | 27.6755 | − | 2.72580i | 1.22911 | − | 0.121057i | ||||
\(508\) | 9.78081 | − | 1.43351i | 0.433953 | − | 0.0636016i | ||||
\(509\) | −22.4492 | + | 6.80989i | −0.995044 | + | 0.301843i | −0.745489 | − | 0.666517i | \(-0.767784\pi\) |
−0.249554 | + | 0.968361i | \(0.580284\pi\) | |||||||
\(510\) | 0.517455 | + | 7.09891i | 0.0229133 | + | 0.314345i | ||||
\(511\) | 8.56841 | 0.379044 | ||||||||
\(512\) | −13.7814 | − | 17.9464i | −0.609057 | − | 0.793126i | ||||
\(513\) | 4.36815 | 0.192858 | ||||||||
\(514\) | −0.421045 | − | 5.77627i | −0.0185715 | − | 0.254780i | ||||
\(515\) | 0.999512 | − | 0.303199i | 0.0440438 | − | 0.0133605i | ||||
\(516\) | −35.8182 | + | 5.24963i | −1.57681 | + | 0.231102i | ||||
\(517\) | −0.492938 | + | 0.0485501i | −0.0216794 | + | 0.00213523i | ||||
\(518\) | 9.59279 | + | 24.9328i | 0.421483 | + | 1.09548i | ||||
\(519\) | −19.8214 | + | 29.6648i | −0.870063 | + | 1.30214i | ||||
\(520\) | 4.09439 | − | 0.908238i | 0.179551 | − | 0.0398289i | ||||
\(521\) | −15.8192 | + | 10.5700i | −0.693051 | + | 0.463082i | −0.851547 | − | 0.524277i | \(-0.824335\pi\) |
0.158496 | + | 0.987360i | \(0.449335\pi\) | |||||||
\(522\) | −4.19052 | − | 24.2756i | −0.183414 | − | 1.06251i | ||||
\(523\) | 3.45444 | + | 6.46279i | 0.151052 | + | 0.282598i | 0.946054 | − | 0.324008i | \(-0.105030\pi\) |
−0.795002 | + | 0.606606i | \(0.792530\pi\) | |||||||
\(524\) | 21.5015 | − | 10.1238i | 0.939298 | − | 0.442262i | ||||
\(525\) | 0.458932 | − | 4.65961i | 0.0200294 | − | 0.203362i | ||||
\(526\) | 15.4127 | + | 8.74883i | 0.672024 | + | 0.381467i | ||||
\(527\) | 6.72952 | − | 2.78746i | 0.293143 | − | 0.121424i | ||||
\(528\) | −9.13322 | − | 4.92264i | −0.397473 | − | 0.214230i | ||||
\(529\) | 13.0224 | + | 5.39407i | 0.566193 | + | 0.234525i | ||||
\(530\) | 3.32645 | + | 4.27009i | 0.144492 | + | 0.185481i | ||||
\(531\) | 31.6961 | + | 38.6218i | 1.37549 | + | 1.67605i | ||||
\(532\) | −9.52618 | + | 2.36863i | −0.413012 | + | 0.102693i | ||||
\(533\) | −0.144265 | + | 0.475580i | −0.00624883 | + | 0.0205996i | ||||
\(534\) | 44.2487 | − | 27.9664i | 1.91483 | − | 1.21023i | ||||
\(535\) | −1.21245 | + | 6.09538i | −0.0524186 | + | 0.263526i | ||||
\(536\) | 1.77357 | − | 0.998624i | 0.0766064 | − | 0.0431340i | ||||
\(537\) | −25.9698 | + | 5.16572i | −1.12068 | + | 0.222917i | ||||
\(538\) | 2.53478 | + | 0.0644257i | 0.109282 | + | 0.00277759i | ||||
\(539\) | 2.36015 | − | 2.87585i | 0.101659 | − | 0.123871i | ||||
\(540\) | −1.38908 | + | 2.92383i | −0.0597765 | + | 0.125822i | ||||
\(541\) | 9.49848 | + | 5.07704i | 0.408372 | + | 0.218279i | 0.662774 | − | 0.748819i | \(-0.269379\pi\) |
−0.254403 | + | 0.967098i | \(0.581879\pi\) | |||||||
\(542\) | 17.2465 | + | 34.3370i | 0.740800 | + | 1.47490i | ||||
\(543\) | 47.9398 | − | 47.9398i | 2.05729 | − | 2.05729i | ||||
\(544\) | −0.319337 | + | 11.0537i | −0.0136914 | + | 0.473925i | ||||
\(545\) | −4.63321 | − | 4.63321i | −0.198465 | − | 0.198465i | ||||
\(546\) | −3.08790 | + | 9.32006i | −0.132150 | + | 0.398862i | ||||
\(547\) | 9.61992 | − | 17.9976i | 0.411318 | − | 0.769522i | −0.587905 | − | 0.808930i | \(-0.700047\pi\) |
0.999223 | + | 0.0394081i | \(0.0125472\pi\) | |||||||
\(548\) | −26.1754 | + | 23.6414i | −1.11816 | + | 1.00991i | ||||
\(549\) | 0.289372 | + | 0.237481i | 0.0123501 | + | 0.0101355i | ||||
\(550\) | −1.03274 | + | 0.981544i | −0.0440362 | + | 0.0418532i | ||||
\(551\) | 2.52757 | + | 12.7070i | 0.107678 | + | 0.541335i | ||||
\(552\) | 20.6512 | − | 6.76266i | 0.878972 | − | 0.287838i | ||||
\(553\) | 2.75320 | + | 0.547646i | 0.117078 | + | 0.0232883i | ||||
\(554\) | −23.6096 | − | 5.32324i | −1.00308 | − | 0.226163i | ||||
\(555\) | −25.5915 | − | 7.76309i | −1.08630 | − | 0.329525i | ||||
\(556\) | −8.34672 | − | 11.2952i | −0.353980 | − | 0.479021i | ||||
\(557\) | 24.9898 | − | 20.5086i | 1.05885 | − | 0.868977i | 0.0671761 | − | 0.997741i | \(-0.478601\pi\) |
0.991675 | + | 0.128764i | \(0.0411011\pi\) | |||||||
\(558\) | 18.9753 | + | 2.35709i | 0.803287 | + | 0.0997836i | ||||
\(559\) | 3.98924 | − | 9.63089i | 0.168727 | − | 0.407343i | ||||
\(560\) | 1.44390 | − | 7.12960i | 0.0610161 | − | 0.301281i | ||||
\(561\) | 1.94043 | + | 4.68461i | 0.0819250 | + | 0.197784i | ||||
\(562\) | 10.2080 | + | 37.0120i | 0.430600 | + | 1.56126i | ||||
\(563\) | −33.5886 | − | 3.30818i | −1.41559 | − | 0.139423i | −0.638891 | − | 0.769297i | \(-0.720607\pi\) |
−0.776698 | + | 0.629874i | \(0.783107\pi\) | |||||||
\(564\) | 0.119834 | + | 2.52879i | 0.00504590 | + | 0.106481i | ||||
\(565\) | −10.6273 | + | 5.68040i | −0.447093 | + | 0.238976i | ||||
\(566\) | −35.4126 | − | 24.9864i | −1.48850 | − | 1.05026i | ||||
\(567\) | 6.78844 | + | 10.1596i | 0.285088 | + | 0.426664i | ||||
\(568\) | 4.67448 | − | 12.0248i | 0.196137 | − | 0.504551i | ||||
\(569\) | −12.2001 | − | 8.15182i | −0.511453 | − | 0.341742i | 0.272914 | − | 0.962038i | \(-0.412012\pi\) |
−0.784368 | + | 0.620296i | \(0.787012\pi\) | |||||||
\(570\) | 3.98998 | − | 8.98022i | 0.167122 | − | 0.376140i | ||||
\(571\) | −3.93652 | − | 39.9681i | −0.164738 | − | 1.67261i | −0.621797 | − | 0.783178i | \(-0.713597\pi\) |
0.457059 | − | 0.889436i | \(-0.348903\pi\) | |||||||
\(572\) | 2.56529 | − | 1.53153i | 0.107260 | − | 0.0640365i | ||||
\(573\) | 9.77065 | + | 32.2095i | 0.408175 | + | 1.34557i | ||||
\(574\) | 0.652234 | + | 0.563608i | 0.0272237 | + | 0.0235246i | ||||
\(575\) | − | 2.98406i | − | 0.124444i | ||||||
\(576\) | −15.0534 | + | 24.8211i | −0.627224 | + | 1.03421i | ||||
\(577\) | 16.2143i | 0.675011i | 0.941324 | + | 0.337506i | \(0.109583\pi\) | ||||
−0.941324 | + | 0.337506i | \(0.890417\pi\) | |||||||
\(578\) | −12.1856 | + | 14.1017i | −0.506854 | + | 0.586555i | ||||
\(579\) | 8.28946 | + | 27.3267i | 0.344498 | + | 1.13566i | ||||
\(580\) | −9.30921 | − | 2.34901i | −0.386544 | − | 0.0975373i | ||||
\(581\) | 1.75992 | + | 17.8688i | 0.0730138 | + | 0.741322i | ||||
\(582\) | −48.5439 | − | 21.5684i | −2.01221 | − | 0.894041i | ||||
\(583\) | 3.20618 | + | 2.14230i | 0.132787 | + | 0.0887252i | ||||
\(584\) | −9.21415 | + | 9.62762i | −0.381284 | + | 0.398394i | ||||
\(585\) | −2.98922 | − | 4.47368i | −0.123589 | − | 0.184964i | ||||
\(586\) | −2.77522 | + | 3.93326i | −0.114643 | + | 0.162481i | ||||
\(587\) | −16.6721 | + | 8.91141i | −0.688130 | + | 0.367813i | −0.778108 | − | 0.628131i | \(-0.783820\pi\) |
0.0899779 | + | 0.995944i | \(0.471320\pi\) | |||||||
\(588\) | −14.0669 | − | 12.7940i | −0.580107 | − | 0.527615i | ||||
\(589\) | −10.0078 | − | 0.985682i | −0.412364 | − | 0.0406143i | ||||
\(590\) | 18.7715 | − | 5.17724i | 0.772810 | − | 0.213144i | ||||
\(591\) | −7.32576 | − | 17.6860i | −0.301342 | − | 0.727503i | ||||
\(592\) | −38.3307 | − | 16.0331i | −1.57538 | − | 0.658958i | ||||
\(593\) | 10.3016 | − | 24.8703i | 0.423036 | − | 1.02130i | −0.558411 | − | 0.829565i | \(-0.688589\pi\) |
0.981447 | − | 0.191735i | \(-0.0614113\pi\) | |||||||
\(594\) | −0.284266 | + | 2.28843i | −0.0116636 | + | 0.0938952i | ||||
\(595\) | −2.74811 | + | 2.25532i | −0.112662 | + | 0.0924590i | ||||
\(596\) | −6.54097 | + | 43.5746i | −0.267929 | + | 1.78488i | ||||
\(597\) | −57.8778 | − | 17.5570i | −2.36878 | − | 0.718561i | ||||
\(598\) | −1.37631 | + | 6.10421i | −0.0562815 | + | 0.249620i | ||||
\(599\) | 18.8457 | + | 3.74865i | 0.770016 | + | 0.153166i | 0.564438 | − | 0.825475i | \(-0.309093\pi\) |
0.205577 | + | 0.978641i | \(0.434093\pi\) | |||||||
\(600\) | 4.74211 | + | 5.52644i | 0.193596 | + | 0.225616i | ||||
\(601\) | 6.61275 | + | 33.2445i | 0.269740 | + | 1.35607i | 0.843535 | + | 0.537074i | \(0.180470\pi\) |
−0.573796 | + | 0.818999i | \(0.694530\pi\) | |||||||
\(602\) | −12.4563 | − | 13.1060i | −0.507681 | − | 0.534161i | ||||
\(603\) | −2.01851 | − | 1.65655i | −0.0822001 | − | 0.0674599i | ||||
\(604\) | 1.75100 | − | 34.4236i | 0.0712472 | − | 1.40068i | ||||
\(605\) | 4.70690 | − | 8.80599i | 0.191363 | − | 0.358014i | ||||
\(606\) | −21.2800 | − | 7.05044i | −0.864440 | − | 0.286404i | ||||
\(607\) | −2.12498 | − | 2.12498i | −0.0862503 | − | 0.0862503i | 0.662665 | − | 0.748916i | \(-0.269425\pi\) |
−0.748916 | + | 0.662665i | \(0.769425\pi\) | |||||||
\(608\) | 7.58267 | − | 13.2509i | 0.307518 | − | 0.537396i | ||||
\(609\) | 15.8934 | − | 15.8934i | 0.644035 | − | 0.644035i | ||||
\(610\) | 0.130374 | − | 0.0654832i | 0.00527870 | − | 0.00265134i | ||||
\(611\) | −0.642927 | − | 0.343652i | −0.0260100 | − | 0.0139027i | ||||
\(612\) | 13.3659 | − | 4.75626i | 0.540285 | − | 0.192260i | ||||
\(613\) | −12.9862 | + | 15.8237i | −0.524508 | + | 0.639114i | −0.966121 | − | 0.258091i | \(-0.916906\pi\) |
0.441613 | + | 0.897206i | \(0.354406\pi\) | |||||||
\(614\) | −0.420510 | + | 16.5446i | −0.0169704 | + | 0.667686i | ||||
\(615\) | −0.846350 | + | 0.168350i | −0.0341281 | + | 0.00678851i | ||||
\(616\) | −0.620962 | − | 5.14481i | −0.0250193 | − | 0.207290i | ||||
\(617\) | 4.04848 | − | 20.3531i | 0.162986 | − | 0.819384i | −0.809626 | − | 0.586947i | \(-0.800330\pi\) |
0.972611 | − | 0.232438i | \(-0.0746702\pi\) | |||||||
\(618\) | −2.03183 | − | 3.21477i | −0.0817321 | − | 0.129317i | ||||
\(619\) | 10.5559 | − | 34.7980i | 0.424276 | − | 1.39865i | −0.441069 | − | 0.897473i | \(-0.645401\pi\) |
0.865345 | − | 0.501177i | \(-0.167099\pi\) | |||||||
\(620\) | 3.84228 | − | 6.38530i | 0.154309 | − | 0.256440i | ||||
\(621\) | −3.06395 | − | 3.73344i | −0.122952 | − | 0.149818i | ||||
\(622\) | −25.2182 | + | 19.6453i | −1.01116 | + | 0.787704i | ||||
\(623\) | 24.1548 | + | 10.0052i | 0.967740 | + | 0.400851i | ||||
\(624\) | −7.15158 | − | 13.4921i | −0.286292 | − | 0.540115i | ||||
\(625\) | 0.923880 | − | 0.382683i | 0.0369552 | − | 0.0153073i | ||||
\(626\) | −16.4119 | + | 28.9126i | −0.655953 | + | 1.15558i | ||||
\(627\) | 0.686162 | − | 6.96672i | 0.0274027 | − | 0.278224i | ||||
\(628\) | −44.0807 | − | 15.8587i | −1.75901 | − | 0.632829i | ||||
\(629\) | 9.57194 | + | 17.9078i | 0.381658 | + | 0.714032i | ||||
\(630\) | −9.19638 | + | 1.58751i | −0.366393 | + | 0.0632477i | ||||
\(631\) | −3.17156 | + | 2.11917i | −0.126258 | + | 0.0843627i | −0.617096 | − | 0.786888i | \(-0.711691\pi\) |
0.490838 | + | 0.871251i | \(0.336691\pi\) | |||||||
\(632\) | −3.57604 | + | 2.50463i | −0.142247 | + | 0.0996289i | ||||
\(633\) | 11.9862 | − | 17.9387i | 0.476410 | − | 0.712998i | ||||
\(634\) | −20.5289 | + | 7.89844i | −0.815309 | + | 0.313687i | ||||
\(635\) | −4.91885 | + | 0.484464i | −0.195199 | + | 0.0192254i | ||||
\(636\) | 11.7678 | − | 15.8096i | 0.466623 | − | 0.626892i | ||||
\(637\) | 5.23972 | − | 1.58945i | 0.207605 | − | 0.0629764i | ||||
\(638\) | −6.82153 | + | 0.497237i | −0.270067 | + | 0.0196858i | ||||
\(639\) | −16.5515 | −0.654767 | ||||||||
\(640\) | 6.45823 | + | 9.28931i | 0.255284 | + | 0.367192i | ||||
\(641\) | 45.7410 | 1.80666 | 0.903331 | − | 0.428944i | \(-0.141114\pi\) | ||||
0.903331 | + | 0.428944i | \(0.141114\pi\) | |||||||
\(642\) | 22.5685 | − | 1.64507i | 0.890709 | − | 0.0649258i | ||||
\(643\) | 43.0571 | − | 13.0612i | 1.69801 | − | 0.515085i | 0.715075 | − | 0.699048i | \(-0.246393\pi\) |
0.982933 | + | 0.183963i | \(0.0588926\pi\) | |||||||
\(644\) | 8.70641 | + | 6.48056i | 0.343081 | + | 0.255370i | ||||
\(645\) | 18.0133 | − | 1.77415i | 0.709272 | − | 0.0698572i | ||||
\(646\) | −6.96361 | + | 2.67922i | −0.273980 | + | 0.105413i | ||||
\(647\) | −4.24064 | + | 6.34657i | −0.166717 | + | 0.249509i | −0.905416 | − | 0.424526i | \(-0.860441\pi\) |
0.738699 | + | 0.674036i | \(0.235441\pi\) | |||||||
\(648\) | −18.7156 | − | 3.29766i | −0.735217 | − | 0.129544i | ||||
\(649\) | 11.5340 | − | 7.70679i | 0.452750 | − | 0.302518i | ||||
\(650\) | −2.06639 | + | 0.356707i | −0.0810506 | + | 0.0139912i | ||||
\(651\) | 8.22407 | + | 15.3861i | 0.322327 | + | 0.603031i | ||||
\(652\) | −4.56746 | + | 12.6957i | −0.178875 | + | 0.497202i | ||||
\(653\) | 2.78008 | − | 28.2266i | 0.108793 | − | 1.10459i | −0.773469 | − | 0.633834i | \(-0.781480\pi\) |
0.882262 | − | 0.470759i | \(-0.156020\pi\) | |||||||
\(654\) | −11.7773 | + | 20.7479i | −0.460529 | + | 0.811305i | ||||
\(655\) | −10.9783 | + | 4.54737i | −0.428958 | + | 0.177680i | ||||
\(656\) | −1.33467 | + | 0.126778i | −0.0521101 | + | 0.00494987i | ||||
\(657\) | 15.7952 | + | 6.54259i | 0.616230 | + | 0.255251i | ||||
\(658\) | −0.997510 | + | 0.777073i | −0.0388870 | + | 0.0302935i | ||||
\(659\) | 21.6060 | + | 26.3270i | 0.841651 | + | 1.02555i | 0.999276 | + | 0.0380553i | \(0.0121163\pi\) |
−0.157625 | + | 0.987499i | \(0.550384\pi\) | |||||||
\(660\) | 4.44499 | + | 2.67472i | 0.173021 | + | 0.104113i | ||||
\(661\) | 2.56203 | − | 8.44587i | 0.0996513 | − | 0.328506i | −0.892913 | − | 0.450230i | \(-0.851342\pi\) |
0.992564 | + | 0.121723i | \(0.0388421\pi\) | |||||||
\(662\) | −22.9860 | − | 36.3687i | −0.893377 | − | 1.41351i | ||||
\(663\) | −1.45592 | + | 7.31940i | −0.0565432 | + | 0.284262i | ||||
\(664\) | −21.9702 | − | 17.2379i | −0.852611 | − | 0.668962i | ||||
\(665\) | 4.81381 | − | 0.957527i | 0.186672 | − | 0.0371313i | ||||
\(666\) | −1.35437 | + | 53.2865i | −0.0524807 | + | 2.06481i | ||||
\(667\) | 9.08767 | − | 11.0734i | 0.351876 | − | 0.428762i | ||||
\(668\) | −4.38290 | − | 12.3167i | −0.169580 | − | 0.476548i | ||||
\(669\) | 10.8250 | + | 5.78610i | 0.418520 | + | 0.223703i | ||||
\(670\) | −0.909424 | + | 0.456777i | −0.0351341 | + | 0.0176468i | ||||
\(671\) | 0.0734924 | − | 0.0734924i | 0.00283714 | − | 0.00283714i | ||||
\(672\) | −26.4227 | + | 1.83385i | −1.01928 | + | 0.0707425i | ||||
\(673\) | 15.9779 | + | 15.9779i | 0.615904 | + | 0.615904i | 0.944478 | − | 0.328574i | \(-0.106568\pi\) |
−0.328574 | + | 0.944478i | \(0.606568\pi\) | |||||||
\(674\) | −8.22108 | − | 2.72379i | −0.316664 | − | 0.104917i | ||||
\(675\) | 0.762961 | − | 1.42740i | 0.0293664 | − | 0.0549407i | ||||
\(676\) | −21.5749 | − | 1.09743i | −0.829803 | − | 0.0422090i | ||||
\(677\) | −10.9728 | − | 9.00518i | −0.421720 | − | 0.346097i | 0.399475 | − | 0.916744i | \(-0.369192\pi\) |
−0.821195 | + | 0.570647i | \(0.806692\pi\) | |||||||
\(678\) | 30.2262 | + | 31.8028i | 1.16083 | + | 1.22138i | ||||
\(679\) | −5.17605 | − | 26.0218i | −0.198639 | − | 0.998624i | ||||
\(680\) | 0.421101 | − | 5.51311i | 0.0161485 | − | 0.211418i | ||||
\(681\) | −27.5945 | − | 5.48889i | −1.05742 | − | 0.210335i | ||||
\(682\) | 1.16767 | − | 5.17884i | 0.0447123 | − | 0.198308i | ||||
\(683\) | −28.9660 | − | 8.78673i | −1.10835 | − | 0.336215i | −0.317522 | − | 0.948251i | \(-0.602851\pi\) |
−0.790830 | + | 0.612036i | \(0.790351\pi\) | |||||||
\(684\) | −19.3694 | − | 2.90754i | −0.740608 | − | 0.111173i | ||||
\(685\) | 13.6326 | − | 11.1880i | 0.520874 | − | 0.427470i | ||||
\(686\) | 3.39001 | − | 27.2906i | 0.129431 | − | 1.04196i | ||||
\(687\) | 16.9685 | − | 40.9656i | 0.647389 | − | 1.56294i | ||||
\(688\) | 28.1212 | + | 0.0975872i | 1.07211 | + | 0.00372048i | ||||
\(689\) | 2.17183 | + | 5.24325i | 0.0827400 | + | 0.199752i | ||||
\(690\) | −10.4741 | + | 2.88878i | −0.398741 | + | 0.109974i | ||||
\(691\) | 30.3725 | + | 2.99143i | 1.15542 | + | 0.113799i | 0.657523 | − | 0.753435i | \(-0.271604\pi\) |
0.497901 | + | 0.867234i | \(0.334104\pi\) | |||||||
\(692\) | 18.6478 | − | 20.5031i | 0.708882 | − | 0.779409i | ||||
\(693\) | −5.86326 | + | 3.13398i | −0.222727 | + | 0.119050i | ||||
\(694\) | −4.86696 | + | 6.89783i | −0.184747 | + | 0.261838i | ||||
\(695\) | 3.90135 | + | 5.83879i | 0.147987 | + | 0.221478i | ||||
\(696\) | 0.766948 | + | 34.9494i | 0.0290711 | + | 1.32475i | ||||
\(697\) | 0.544785 | + | 0.364014i | 0.0206352 | + | 0.0137880i | ||||
\(698\) | 33.5032 | + | 14.8857i | 1.26811 | + | 0.563433i | ||||
\(699\) | −0.491178 | − | 4.98701i | −0.0185780 | − | 0.188626i | ||||
\(700\) | −0.889881 | + | 3.52663i | −0.0336343 | + | 0.133294i | ||||
\(701\) | 1.78030 | + | 5.86886i | 0.0672409 | + | 0.221664i | 0.984121 | − | 0.177499i | \(-0.0568008\pi\) |
−0.916880 | + | 0.399163i | \(0.869301\pi\) | |||||||
\(702\) | −2.21906 | + | 2.56800i | −0.0837532 | + | 0.0969230i | ||||
\(703\) | − | 28.0336i | − | 1.05731i | ||||||
\(704\) | 6.44856 | + | 4.83481i | 0.243039 | + | 0.182219i | ||||
\(705\) | − | 1.26581i | − | 0.0476733i | ||||||
\(706\) | 3.41786 | + | 2.95344i | 0.128633 | + | 0.111154i | ||||
\(707\) | −3.25026 | − | 10.7147i | −0.122239 | − | 0.402967i | ||||
\(708\) | −36.3443 | − | 60.8760i | −1.36590 | − | 2.28786i | ||||
\(709\) | −4.20596 | − | 42.7038i | −0.157958 | − | 1.60377i | −0.668359 | − | 0.743839i | \(-0.733003\pi\) |
0.510401 | − | 0.859936i | \(-0.329497\pi\) | |||||||
\(710\) | −2.61921 | + | 5.89504i | −0.0982973 | + | 0.221237i | ||||
\(711\) | 4.65716 | + | 3.11181i | 0.174657 | + | 0.116702i | ||||
\(712\) | −37.2172 | + | 16.3815i | −1.39477 | + | 0.613922i | ||||
\(713\) | 6.17732 | + | 9.24502i | 0.231343 | + | 0.346229i | ||||
\(714\) | 10.5765 | + | 7.46257i | 0.395817 | + | 0.279280i | ||||
\(715\) | −1.31745 | + | 0.704193i | −0.0492699 | + | 0.0263353i | ||||
\(716\) | 20.5459 | − | 0.973625i | 0.767838 | − | 0.0363861i | ||||
\(717\) | −22.9115 | − | 2.25659i | −0.855645 | − | 0.0842737i | ||||
\(718\) | 13.7086 | + | 49.7043i | 0.511601 | + | 1.85495i | ||||
\(719\) | 5.35857 | + | 12.9367i | 0.199841 | + | 0.482459i | 0.991751 | − | 0.128179i | \(-0.0409132\pi\) |
−0.791910 | + | 0.610638i | \(0.790913\pi\) | |||||||
\(720\) | 8.10569 | − | 12.0404i | 0.302081 | − | 0.448718i | ||||
\(721\) | 0.726903 | − | 1.75490i | 0.0270713 | − | 0.0653559i | ||||
\(722\) | −16.4427 | − | 2.04250i | −0.611935 | − | 0.0760140i | ||||
\(723\) | −40.8697 | + | 33.5409i | −1.51996 | + | 1.24740i | ||||
\(724\) | −42.3559 | + | 31.2995i | −1.57415 | + | 1.16324i | ||||
\(725\) | 4.59379 | + | 1.39351i | 0.170609 | + | 0.0517537i | ||||
\(726\) | −35.4657 | − | 7.99641i | −1.31625 | − | 0.296775i | ||||
\(727\) | −15.2849 | − | 3.04036i | −0.566886 | − | 0.112761i | −0.0966769 | − | 0.995316i | \(-0.530821\pi\) |
−0.470209 | + | 0.882555i | \(0.655821\pi\) | |||||||
\(728\) | 3.44690 | − | 6.80367i | 0.127751 | − | 0.252161i | ||||
\(729\) | 7.19523 | + | 36.1729i | 0.266490 | + | 1.33974i | ||||
\(730\) | 4.82977 | − | 4.59034i | 0.178758 | − | 0.169896i | ||||
\(731\) | −10.6237 | − | 8.71867i | −0.392933 | − | 0.322472i | ||||
\(732\) | −0.356058 | − | 0.394222i | −0.0131603 | − | 0.0145708i | ||||
\(733\) | 3.17070 | − | 5.93197i | 0.117113 | − | 0.219102i | −0.816534 | − | 0.577297i | \(-0.804108\pi\) |
0.933647 | + | 0.358195i | \(0.116608\pi\) | |||||||
\(734\) | −13.0311 | + | 39.3311i | −0.480987 | + | 1.45174i | ||||
\(735\) | 6.72274 | + | 6.72274i | 0.247972 | + | 0.247972i | ||||
\(736\) | −16.6442 | + | 2.81373i | −0.613514 | + | 0.103715i | ||||
\(737\) | −0.512646 | + | 0.512646i | −0.0188835 | + | 0.0188835i | ||||
\(738\) | 0.771989 | + | 1.53700i | 0.0284173 | + | 0.0565777i | ||||
\(739\) | −35.2087 | − | 18.8194i | −1.29517 | − | 0.692284i | −0.327586 | − | 0.944822i | \(-0.606235\pi\) |
−0.967587 | + | 0.252537i | \(0.918735\pi\) | |||||||
\(740\) | 18.7644 | + | 8.91477i | 0.689793 | + | 0.327713i | ||||
\(741\) | 6.53622 | − | 7.96440i | 0.240114 | − | 0.292580i | ||||
\(742\) | 9.84056 | + | 0.250115i | 0.361258 | + | 0.00918200i | ||||
\(743\) | 14.1722 | − | 2.81902i | 0.519926 | − | 0.103420i | 0.0718504 | − | 0.997415i | \(-0.477110\pi\) |
0.448075 | + | 0.893996i | \(0.352110\pi\) | |||||||
\(744\) | −26.1320 | − | 7.30498i | −0.958046 | − | 0.267813i | ||||
\(745\) | 4.29811 | − | 21.6081i | 0.157471 | − | 0.791658i | ||||
\(746\) | 9.73013 | − | 6.14972i | 0.356246 | − | 0.225157i | ||||
\(747\) | −10.3998 | + | 34.2836i | −0.380509 | + | 1.25437i | ||||
\(748\) | −0.950446 | − | 3.82252i | −0.0347517 | − | 0.139765i | ||||
\(749\) | 7.17000 | + | 8.73667i | 0.261986 | + | 0.319231i | ||||
\(750\) | −2.23760 | − | 2.87236i | −0.0817056 | − | 0.104884i | ||||
\(751\) | 23.8852 | + | 9.89359i | 0.871584 | + | 0.361022i | 0.773227 | − | 0.634129i | \(-0.218641\pi\) |
0.0983572 | + | 0.995151i | \(0.468641\pi\) | |||||||
\(752\) | 0.199552 | − | 1.95646i | 0.00727690 | − | 0.0713446i | ||||
\(753\) | 11.1416 | − | 4.61502i | 0.406024 | − | 0.168181i | ||||
\(754\) | −8.75437 | − | 4.96933i | −0.318815 | − | 0.180972i | ||||
\(755\) | −1.68923 | + | 17.1511i | −0.0614775 | + | 0.624191i | ||||
\(756\) | 2.50770 | + | 5.32597i | 0.0912041 | + | 0.193704i | ||||
\(757\) | −15.9434 | − | 29.8280i | −0.579473 | − | 1.08412i | −0.985407 | − | 0.170215i | \(-0.945554\pi\) |
0.405934 | − | 0.913902i | \(-0.366946\pi\) | |||||||
\(758\) | 0.719438 | + | 4.16769i | 0.0261312 | + | 0.151377i | ||||
\(759\) | −6.43572 | + | 4.30021i | −0.233602 | + | 0.156088i | ||||
\(760\) | −4.10070 | + | 6.43858i | −0.148748 | + | 0.233552i | ||||
\(761\) | 10.3471 | − | 15.4856i | 0.375083 | − | 0.561352i | −0.595122 | − | 0.803635i | \(-0.702896\pi\) |
0.970206 | + | 0.242283i | \(0.0778964\pi\) | |||||||
\(762\) | 6.46227 | + | 16.7962i | 0.234103 | + | 0.608462i | ||||
\(763\) | −11.8586 | + | 1.16797i | −0.429311 | + | 0.0422835i | ||||
\(764\) | −3.79164 | − | 25.8703i | −0.137177 | − | 0.935956i | ||||
\(765\) | −6.78803 | + | 2.05913i | −0.245422 | + | 0.0744479i | ||||
\(766\) | 0.859394 | + | 11.7899i | 0.0310512 | + | 0.425988i | ||||
\(767\) | 20.4163 | 0.737191 | ||||||||
\(768\) | 26.3535 | − | 31.6611i | 0.950949 | − | 1.14247i | ||||
\(769\) | 16.6784 | 0.601438 | 0.300719 | − | 0.953713i | \(-0.402773\pi\) | ||||
0.300719 | + | 0.953713i | \(0.402773\pi\) | |||||||
\(770\) | 0.188369 | + | 2.58422i | 0.00678836 | + | 0.0931288i | ||||
\(771\) | 10.0897 | − | 3.06069i | 0.363373 | − | 0.110228i | ||||
\(772\) | −3.21684 | − | 21.9485i | −0.115777 | − | 0.789944i | ||||
\(773\) | 40.6737 | − | 4.00601i | 1.46293 | − | 0.144086i | 0.665004 | − | 0.746840i | \(-0.268430\pi\) |
0.797927 | + | 0.602754i | \(0.205930\pi\) | |||||||
\(774\) | −12.9549 | − | 33.6712i | −0.465654 | − | 1.21029i | ||||
\(775\) | −2.07011 | + | 3.09813i | −0.0743604 | + | 0.111288i | ||||
\(776\) | 34.8047 | + | 22.1669i | 1.24941 | + | 0.795746i | ||||
\(777\) | −40.4381 | + | 27.0199i | −1.45071 | + | 0.969333i | ||||
\(778\) | 1.50380 | + | 8.71145i | 0.0539137 | + | 0.312321i | ||||
\(779\) | −0.426414 | − | 0.797765i | −0.0152779 | − | 0.0285829i | ||||
\(780\) | 3.25246 | + | 6.90773i | 0.116457 | + | 0.247336i | ||||
\(781\) | −0.450429 | + | 4.57328i | −0.0161176 | + | 0.163645i | ||||
\(782\) | 7.17441 | + | 4.07248i | 0.256557 | + | 0.145632i | ||||
\(783\) | 7.17824 | − | 2.97332i | 0.256529 | − | 0.106258i | ||||
\(784\) | 9.33093 | + | 11.4506i | 0.333247 | + | 0.408949i | ||||
\(785\) | 21.6403 | + | 8.96371i | 0.772376 | + | 0.319928i | ||||
\(786\) | 26.5891 | + | 34.1317i | 0.948400 | + | 1.21744i | ||||
\(787\) | 12.9617 | + | 15.7938i | 0.462034 | + | 0.562990i | 0.950951 | − | 0.309340i | \(-0.100108\pi\) |
−0.488918 | + | 0.872330i | \(0.662608\pi\) | |||||||
\(788\) | 3.58825 | + | 14.4313i | 0.127826 | + | 0.514093i | ||||
\(789\) | −9.36591 | + | 30.8753i | −0.333435 | + | 1.09919i | ||||
\(790\) | 1.84529 | − | 1.16628i | 0.0656526 | − | 0.0414943i | ||||
\(791\) | −4.27526 | + | 21.4932i | −0.152011 | + | 0.764209i | ||||
\(792\) | 2.78373 | − | 9.95822i | 0.0989157 | − | 0.353850i | ||||
\(793\) | 0.150029 | − | 0.0298426i | 0.00532768 | − | 0.00105974i | ||||
\(794\) | −19.6942 | − | 0.500563i | −0.698922 | − | 0.0177643i | ||||
\(795\) | −6.25147 | + | 7.61744i | −0.221717 | + | 0.270163i | ||||
\(796\) | 42.4376 | + | 20.1617i | 1.50416 | + | 0.714611i | ||||
\(797\) | 40.1976 | + | 21.4860i | 1.42387 | + | 0.761075i | 0.990155 | − | 0.139975i | \(-0.0447023\pi\) |
0.433715 | + | 0.901050i | \(0.357202\pi\) | |||||||
\(798\) | −8.02103 | − | 15.9695i | −0.283941 | − | 0.565316i | ||||
\(799\) | −0.679606 | + | 0.679606i | −0.0240427 | + | 0.0240427i | ||||
\(800\) | −3.00564 | − | 4.79230i | −0.106266 | − | 0.169433i | ||||
\(801\) | 36.8878 | + | 36.8878i | 1.30337 | + | 1.30337i | ||||
\(802\) | −9.57734 | + | 28.9068i | −0.338188 | + | 1.02074i | ||||
\(803\) | 2.23761 | − | 4.18627i | 0.0789634 | − | 0.147730i | ||||
\(804\) | 2.48368 | + | 2.74989i | 0.0875925 | + | 0.0969811i | ||||
\(805\) | −4.19495 | − | 3.44271i | −0.147853 | − | 0.121339i | ||||
\(806\) | 5.66354 | − | 5.38278i | 0.199490 | − | 0.189600i | ||||
\(807\) | 0.900561 | + | 4.52742i | 0.0317012 | + | 0.159373i | ||||
\(808\) | 15.5344 | + | 7.87012i | 0.546499 | + | 0.276870i | ||||
\(809\) | 37.9973 | + | 7.55813i | 1.33591 | + | 0.265730i | 0.810810 | − | 0.585309i | \(-0.199027\pi\) |
0.525103 | + | 0.851039i | \(0.324027\pi\) | |||||||
\(810\) | 9.26925 | + | 2.08993i | 0.325688 | + | 0.0734326i | ||||
\(811\) | −29.3563 | − | 8.90512i | −1.03084 | − | 0.312701i | −0.270838 | − | 0.962625i | \(-0.587301\pi\) |
−0.759999 | + | 0.649924i | \(0.774801\pi\) | |||||||
\(812\) | −14.0422 | + | 10.3767i | −0.492786 | + | 0.364151i | ||||
\(813\) | −54.0749 | + | 44.3781i | −1.89649 | + | 1.55641i | ||||
\(814\) | 14.6865 | + | 1.82435i | 0.514763 | + | 0.0639434i | ||||
\(815\) | 2.58164 | − | 6.23263i | 0.0904309 | − | 0.218320i | ||||
\(816\) | −19.7587 | + | 3.85902i | −0.691693 | + | 0.135093i | ||||
\(817\) | 7.26102 | + | 17.5296i | 0.254031 | + | 0.613285i | ||||
\(818\) | 11.3669 | + | 41.2136i | 0.397433 | + | 1.44100i | ||||
\(819\) | −9.73769 | − | 0.959079i | −0.340263 | − | 0.0335129i | ||||
\(820\) | 0.669587 | − | 0.0317302i | 0.0233830 | − | 0.00110807i | ||||
\(821\) | −1.68635 | + | 0.901375i | −0.0588542 | + | 0.0314582i | −0.500561 | − | 0.865701i | \(-0.666873\pi\) |
0.441707 | + | 0.897159i | \(0.354373\pi\) | |||||||
\(822\) | −52.4671 | − | 37.0197i | −1.83000 | − | 1.29121i | ||||
\(823\) | −6.32874 | − | 9.47162i | −0.220606 | − | 0.330160i | 0.704614 | − | 0.709590i | \(-0.251120\pi\) |
−0.925220 | + | 0.379430i | \(0.876120\pi\) | |||||||
\(824\) | 1.19015 | + | 2.70392i | 0.0414610 | + | 0.0941954i | ||||
\(825\) | −2.15670 | − | 1.44106i | −0.0750866 | − | 0.0501713i | ||||
\(826\) | 14.3785 | − | 32.3617i | 0.500294 | − | 1.12601i | ||||
\(827\) | 4.59390 | + | 46.6427i | 0.159746 | + | 1.62192i | 0.656703 | + | 0.754149i | \(0.271951\pi\) |
−0.496957 | + | 0.867775i | \(0.665549\pi\) | |||||||
\(828\) | 11.1012 | + | 18.5944i | 0.385795 | + | 0.646200i | ||||
\(829\) | −11.1605 | − | 36.7913i | −0.387621 | − | 1.27782i | −0.906223 | − | 0.422800i | \(-0.861047\pi\) |
0.518602 | − | 0.855016i | \(-0.326453\pi\) | |||||||
\(830\) | 10.5648 | + | 9.12928i | 0.366711 | + | 0.316882i | ||||
\(831\) | − | 44.0610i | − | 1.52846i | ||||||
\(832\) | 3.93806 | + | 11.1894i | 0.136528 | + | 0.387923i | ||||
\(833\) | − | 7.21879i | − | 0.250116i | ||||||
\(834\) | 16.7174 | − | 19.3461i | 0.578876 | − | 0.669902i | ||||
\(835\) | 1.89749 | + | 6.25519i | 0.0656654 | + | 0.216470i | ||||
\(836\) | −1.33049 | + | 5.27277i | −0.0460158 | + | 0.182362i | ||||
\(837\) | 0.591115 | + | 6.00169i | 0.0204319 | + | 0.207449i | ||||
\(838\) | 19.3038 | + | 8.57683i | 0.666839 | + | 0.296282i | ||||
\(839\) | −25.4630 | − | 17.0139i | −0.879081 | − | 0.587383i | 0.0320560 | − | 0.999486i | \(-0.489795\pi\) |
−0.911137 | + | 0.412103i | \(0.864795\pi\) | |||||||
\(840\) | 13.2400 | − | 0.290545i | 0.456822 | − | 0.0100248i | ||||
\(841\) | −3.30852 | − | 4.95155i | −0.114087 | − | 0.170743i | ||||
\(842\) | −4.39758 | + | 6.23260i | −0.151551 | + | 0.214790i | ||||
\(843\) | −61.6438 | + | 32.9493i | −2.12313 | + | 1.13483i | ||||
\(844\) | −11.2765 | + | 12.3984i | −0.388154 | + | 0.426772i | ||||
\(845\) | 10.7494 | + | 1.05872i | 0.369790 | + | 0.0364211i | ||||
\(846\) | −2.43219 | + | 0.670805i | −0.0836203 | + | 0.0230628i | ||||
\(847\) | −6.94900 | − | 16.7764i | −0.238770 | − | 0.576443i | ||||
\(848\) | −10.8632 | + | 10.7881i | −0.373044 | + | 0.370464i | ||||
\(849\) | 30.1945 | − | 72.8960i | 1.03627 | − | 2.50178i | ||||
\(850\) | −0.340795 | + | 2.74350i | −0.0116892 | + | 0.0941013i | ||||
\(851\) | −23.9602 | + | 19.6637i | −0.821347 | + | 0.674062i | ||||
\(852\) | 23.2272 | + | 3.48663i | 0.795751 | + | 0.119450i | ||||
\(853\) | 38.9884 | + | 11.8270i | 1.33494 | + | 0.404949i | 0.875481 | − | 0.483252i | \(-0.160545\pi\) |
0.459455 | + | 0.888201i | \(0.348045\pi\) | |||||||
\(854\) | 0.0583573 | − | 0.258826i | 0.00199694 | − | 0.00885685i | ||||
\(855\) | 9.60504 | + | 1.91056i | 0.328486 | + | 0.0653398i | ||||
\(856\) | −17.5270 | − | 1.33875i | −0.599062 | − | 0.0457574i | ||||
\(857\) | −3.72316 | − | 18.7176i | −0.127181 | − | 0.639380i | −0.990811 | − | 0.135254i | \(-0.956815\pi\) |
0.863630 | − | 0.504126i | \(-0.168185\pi\) | |||||||
\(858\) | 3.74711 | + | 3.94255i | 0.127924 | + | 0.134597i | ||||
\(859\) | 12.6447 | + | 10.3772i | 0.431432 | + | 0.354067i | 0.824907 | − | 0.565268i | \(-0.191227\pi\) |
−0.393475 | + | 0.919335i | \(0.628727\pi\) | |||||||
\(860\) | −14.0425 | − | 0.714292i | −0.478846 | − | 0.0243571i | ||||
\(861\) | −0.739770 | + | 1.38401i | −0.0252113 | + | 0.0471670i | ||||
\(862\) | 37.4810 | + | 12.4181i | 1.27661 | + | 0.422964i | ||||
\(863\) | 6.08735 | + | 6.08735i | 0.207216 | + | 0.207216i | 0.803083 | − | 0.595867i | \(-0.203192\pi\) |
−0.595867 | + | 0.803083i | \(0.703192\pi\) | |||||||
\(864\) | −8.68104 | − | 2.90966i | −0.295335 | − | 0.0989885i | ||||
\(865\) | −9.79869 | + | 9.79869i | −0.333166 | + | 0.333166i | ||||
\(866\) | −0.224618 | + | 0.112819i | −0.00763282 | + | 0.00383374i | ||||
\(867\) | −29.9233 | − | 15.9943i | −1.01625 | − | 0.543196i | ||||
\(868\) | −4.54353 | − | 12.7681i | −0.154218 | − | 0.433379i | ||||
\(869\) | 0.986552 | − | 1.20212i | 0.0334665 | − | 0.0407790i | ||||
\(870\) | 0.444113 | − | 17.4733i | 0.0150568 | − | 0.592399i | ||||
\(871\) | −1.04652 | + | 0.208167i | −0.0354601 | + | 0.00705346i | ||||
\(872\) | 11.4400 | − | 14.5806i | 0.387406 | − | 0.493760i | ||||
\(873\) | 10.3278 | − | 51.9215i | 0.349544 | − | 1.75728i | ||||
\(874\) | −6.08499 | − | 9.62772i | −0.205828 | − | 0.325662i | ||||
\(875\) | 0.527908 | − | 1.74028i | 0.0178465 | − | 0.0588322i | ||||
\(876\) | −20.7877 | − | 12.5087i | −0.702350 | − | 0.422631i | ||||
\(877\) | −5.08195 | − | 6.19237i | −0.171605 | − | 0.209101i | 0.680105 | − | 0.733115i | \(-0.261934\pi\) |
−0.851710 | + | 0.524013i | \(0.824434\pi\) | |||||||
\(878\) | 4.31294 | − | 3.35983i | 0.145555 | − | 0.113389i | ||||
\(879\) | −8.09651 | − | 3.35369i | −0.273089 | − | 0.113117i | ||||
\(880\) | −3.10624 | − | 2.56732i | −0.104711 | − | 0.0865442i | ||||
\(881\) | −49.9396 | + | 20.6857i | −1.68251 | + | 0.696918i | −0.999441 | − | 0.0334379i | \(-0.989354\pi\) |
−0.683067 | + | 0.730356i | \(0.739354\pi\) | |||||||
\(882\) | 9.35470 | − | 16.4800i | 0.314989 | − | 0.554911i | ||||
\(883\) | −1.22435 | + | 12.4310i | −0.0412025 | + | 0.418336i | 0.952354 | + | 0.304996i | \(0.0986551\pi\) |
−0.993556 | + | 0.113340i | \(0.963845\pi\) | |||||||
\(884\) | 1.96249 | − | 5.45494i | 0.0660057 | − | 0.183469i | ||||
\(885\) | 16.7110 | + | 31.2641i | 0.561734 | + | 1.05093i | ||||
\(886\) | −2.02104 | + | 0.348878i | −0.0678983 | + | 0.0117208i | ||||
\(887\) | −16.1072 | + | 10.7625i | −0.540827 | + | 0.361369i | −0.795781 | − | 0.605584i | \(-0.792940\pi\) |
0.254954 | + | 0.966953i | \(0.417940\pi\) | |||||||
\(888\) | 13.1256 | − | 74.4932i | 0.440467 | − | 2.49983i | ||||
\(889\) | −4.99382 | + | 7.47378i | −0.167487 | + | 0.250662i | ||||
\(890\) | 18.9754 | − | 7.30073i | 0.636058 | − | 0.244721i | ||||
\(891\) | 6.73646 | − | 0.663483i | 0.225680 | − | 0.0222275i | ||||
\(892\) | −7.64865 | − | 5.69322i | −0.256096 | − | 0.190623i | ||||
\(893\) | 1.26977 | − | 0.385179i | 0.0424911 | − | 0.0128895i | ||||
\(894\) | −80.0052 | + | 5.83176i | −2.67578 | + | 0.195043i | ||||
\(895\) | −10.2845 | −0.343773 | ||||||||
\(896\) | 20.5096 | + | 1.63817i | 0.685179 | + | 0.0547274i | ||||
\(897\) | −11.3918 | −0.380363 | ||||||||
\(898\) | −22.4262 | + | 1.63469i | −0.748372 | + | 0.0545505i | ||||
\(899\) | −17.1169 | + | 5.19236i | −0.570881 | + | 0.173175i | ||||
\(900\) | −4.33327 | + | 5.82160i | −0.144442 | + | 0.194053i | ||||
\(901\) | 7.44612 | − | 0.733378i | 0.248066 | − | 0.0244324i | ||||
\(902\) | 0.445691 | − | 0.171478i | 0.0148399 | − | 0.00570958i | ||||
\(903\) | 18.2878 | − | 27.3696i | 0.608580 | − | 0.910805i | ||||
\(904\) | −19.5527 | − | 27.9167i | −0.650312 | − | 0.928496i | ||||
\(905\) | 21.8950 | − | 14.6298i | 0.727814 | − | 0.486310i | ||||
\(906\) | 61.8356 | − | 10.6742i | 2.05435 | − | 0.354628i | ||||
\(907\) | 0.632235 | + | 1.18283i | 0.0209930 | + | 0.0392752i | 0.892199 | − | 0.451642i | \(-0.149162\pi\) |
−0.871206 | + | 0.490917i | \(0.836662\pi\) | |||||||
\(908\) | 20.5654 | + | 7.39869i | 0.682486 | + | 0.245534i | ||||
\(909\) | 2.18981 | − | 22.2335i | 0.0726315 | − | 0.737440i | ||||
\(910\) | −1.88254 | + | 3.31644i | −0.0624057 | + | 0.109939i | ||||
\(911\) | −24.3769 | + | 10.0973i | −0.807644 | + | 0.334537i | −0.748014 | − | 0.663683i | \(-0.768992\pi\) |
−0.0596304 | + | 0.998221i | \(0.518992\pi\) | |||||||
\(912\) | 26.5692 | + | 8.16047i | 0.879794 | + | 0.270220i | ||||
\(913\) | 9.18975 | + | 3.80652i | 0.304136 | + | 0.125977i | ||||
\(914\) | −5.45984 | + | 4.25329i | −0.180596 | + | 0.140686i | ||||
\(915\) | 0.168499 | + | 0.205317i | 0.00557041 | + | 0.00678756i | ||||
\(916\) | −17.7593 | + | 29.5134i | −0.586784 | + | 0.975150i | ||||
\(917\) | −6.27304 | + | 20.6795i | −0.207154 | + | 0.682896i | ||||
\(918\) | 2.39057 | + | 3.78238i | 0.0789007 | + | 0.124837i | ||||
\(919\) | 2.06537 | − | 10.3833i | 0.0681302 | − | 0.342514i | −0.931653 | − | 0.363350i | \(-0.881633\pi\) |
0.999783 | + | 0.0208364i | \(0.00663290\pi\) | |||||||
\(920\) | 8.37938 | − | 1.01136i | 0.276260 | − | 0.0333437i | ||||
\(921\) | −29.5507 | + | 5.87800i | −0.973729 | + | 0.193687i | ||||
\(922\) | −0.745381 | + | 29.3264i | −0.0245478 | + | 0.965814i | ||||
\(923\) | −4.29068 | + | 5.22821i | −0.141229 | + | 0.172089i | ||||
\(924\) | 8.88826 | − | 3.16288i | 0.292402 | − | 0.104051i | ||||
\(925\) | −9.16069 | − | 4.89649i | −0.301202 | − | 0.160996i | ||||
\(926\) | 44.6999 | − | 22.4515i | 1.46893 | − | 0.737801i | ||||
\(927\) | 2.67998 | − | 2.67998i | 0.0880222 | − | 0.0880222i | ||||
\(928\) | 3.44103 | − | 26.9368i | 0.112957 | − | 0.884245i | ||||
\(929\) | −2.23732 | − | 2.23732i | −0.0734042 | − | 0.0734042i | 0.669452 | − | 0.742856i | \(-0.266529\pi\) |
−0.742856 | + | 0.669452i | \(0.766529\pi\) | |||||||
\(930\) | 12.8785 | + | 4.26687i | 0.422302 | + | 0.139916i | ||||
\(931\) | −4.69804 | + | 8.78942i | −0.153972 | + | 0.288062i | ||||
\(932\) | −0.197753 | + | 3.88770i | −0.00647762 | + | 0.127346i | ||||
\(933\) | −44.9869 | − | 36.9198i | −1.47280 | − | 1.20870i | ||||
\(934\) | −26.2101 | − | 27.5772i | −0.857620 | − | 0.902352i | ||||
\(935\) | 0.384222 | + | 1.93161i | 0.0125654 | + | 0.0631705i | ||||
\(936\) | 11.5492 | − | 9.91009i | 0.377497 | − | 0.323922i | ||||
\(937\) | 12.6760 | + | 2.52141i | 0.414106 | + | 0.0823708i | 0.397747 | − | 0.917495i | \(-0.369792\pi\) |
0.0163596 | + | 0.999866i | \(0.494792\pi\) | |||||||
\(938\) | −0.407070 | + | 1.80544i | −0.0132913 | + | 0.0589497i | ||||
\(939\) | −57.9189 | − | 17.5695i | −1.89011 | − | 0.573359i | ||||
\(940\) | −0.145968 | + | 0.972409i | −0.00476095 | + | 0.0317165i | ||||
\(941\) | 6.32989 | − | 5.19481i | 0.206349 | − | 0.169346i | −0.525543 | − | 0.850767i | \(-0.676138\pi\) |
0.731892 | + | 0.681421i | \(0.238638\pi\) | |||||||
\(942\) | 10.5133 | − | 84.6350i | 0.342541 | − | 2.75756i | ||||
\(943\) | −0.382746 | + | 0.924032i | −0.0124639 | + | 0.0300906i | ||||
\(944\) | 20.9000 | + | 50.9565i | 0.680238 | + | 1.65849i | ||||
\(945\) | −1.12639 | − | 2.71935i | −0.0366415 | − | 0.0884605i | ||||
\(946\) | −9.65612 | + | 2.66319i | −0.313948 | + | 0.0865879i | ||||
\(947\) | −5.50775 | − | 0.542466i | −0.178978 | − | 0.0176278i | 0.00813116 | − | 0.999967i | \(-0.497412\pi\) |
−0.187109 | + | 0.982339i | \(0.559912\pi\) | |||||||
\(948\) | −5.88001 | − | 5.34794i | −0.190974 | − | 0.173693i | ||||
\(949\) | 6.16127 | − | 3.29327i | 0.200003 | − | 0.106904i | ||||
\(950\) | 2.20043 | − | 3.11863i | 0.0713915 | − | 0.101182i | ||||
\(951\) | −22.2474 | − | 33.2956i | −0.721422 | − | 1.07968i | ||||
\(952\) | −7.26443 | − | 6.95245i | −0.235442 | − | 0.225330i | ||||
\(953\) | 10.2192 | + | 6.82826i | 0.331033 | + | 0.221189i | 0.709968 | − | 0.704234i | \(-0.248710\pi\) |
−0.378935 | + | 0.925423i | \(0.623710\pi\) | |||||||
\(954\) | 17.9494 | + | 7.97504i | 0.581132 | + | 0.258202i | ||||
\(955\) | 1.28141 | + | 13.0104i | 0.0414656 | + | 0.421007i | ||||
\(956\) | 17.3406 | + | 4.37558i | 0.560835 | + | 0.141516i | ||||
\(957\) | −3.61455 | − | 11.9156i | −0.116842 | − | 0.385176i | ||||
\(958\) | 33.3352 | − | 38.5770i | 1.07701 | − | 1.24637i | ||||
\(959\) | − | 32.0720i | − | 1.03566i | ||||||
\(960\) | −13.9113 | + | 15.1891i | −0.448985 | + | 0.490226i | ||||
\(961\) | 17.1162i | 0.552136i | ||||||||
\(962\) | 16.4808 | + | 14.2414i | 0.531362 | + | 0.459161i | ||||
\(963\) | 6.54629 | + | 21.5802i | 0.210951 | + | 0.695413i | ||||
\(964\) | 35.2642 | − | 21.0535i | 1.13578 | − | 0.678087i | ||||
\(965\) | 1.08716 | + | 11.0381i | 0.0349968 | + | 0.355328i | ||||
\(966\) | −8.02290 | + | 18.0571i | −0.258133 | + | 0.580977i | ||||
\(967\) | 13.4061 | + | 8.95768i | 0.431112 | + | 0.288060i | 0.752132 | − | 0.659013i | \(-0.229026\pi\) |
−0.321020 | + | 0.947072i | \(0.604026\pi\) | |||||||
\(968\) | 26.3229 | + | 10.2327i | 0.846051 | + | 0.328890i | ||||
\(969\) | −7.54653 | − | 11.2942i | −0.242430 | − | 0.362821i | ||||
\(970\) | −16.8582 | − | 11.8948i | −0.541284 | − | 0.381918i | ||||
\(971\) | 38.0700 | − | 20.3488i | 1.22172 | − | 0.653025i | 0.270855 | − | 0.962620i | \(-0.412694\pi\) |
0.950868 | + | 0.309595i | \(0.100194\pi\) | |||||||
\(972\) | −2.09731 | − | 44.2585i | −0.0672712 | − | 1.41959i | ||||
\(973\) | 12.7091 | + | 1.25173i | 0.407434 | + | 0.0401288i | ||||
\(974\) | −11.5936 | − | 42.0356i | −0.371482 | − | 1.34691i | ||||
\(975\) | −1.46092 | − | 3.52697i | −0.0467869 | − | 0.112953i | ||||
\(976\) | 0.228067 | + | 0.343903i | 0.00730023 | + | 0.0110081i | ||||
\(977\) | 3.76748 | − | 9.09549i | 0.120532 | − | 0.290991i | −0.852085 | − | 0.523403i | \(-0.824662\pi\) |
0.972617 | + | 0.232413i | \(0.0746621\pi\) | |||||||
\(978\) | −24.3758 | − | 3.02794i | −0.779451 | − | 0.0968227i | ||||
\(979\) | 11.1962 | − | 9.18847i | 0.357831 | − | 0.293665i | ||||
\(980\) | −4.38923 | − | 5.93970i | −0.140209 | − | 0.189737i | ||||
\(981\) | −22.7523 | − | 6.90184i | −0.726426 | − | 0.220359i | ||||
\(982\) | 11.1375 | + | 2.51116i | 0.355411 | + | 0.0801342i | ||||
\(983\) | −33.2318 | − | 6.61021i | −1.05993 | − | 0.210833i | −0.365807 | − | 0.930691i | \(-0.619207\pi\) |
−0.694122 | + | 0.719858i | \(0.744207\pi\) | |||||||
\(984\) | −0.759581 | − | 2.31953i | −0.0242146 | − | 0.0739441i | ||||
\(985\) | −1.45056 | − | 7.29247i | −0.0462188 | − | 0.232357i | ||||
\(986\) | −9.61971 | + | 9.14283i | −0.306354 | + | 0.291167i | ||||
\(987\) | −1.77946 | − | 1.46037i | −0.0566409 | − | 0.0464840i | ||||
\(988\) | −5.93960 | + | 5.36459i | −0.188964 | + | 0.170670i | ||||
\(989\) | 9.88941 | − | 18.5018i | 0.314465 | − | 0.588323i | ||||
\(990\) | −1.62599 | + | 4.90765i | −0.0516774 | + | 0.155975i | ||||
\(991\) | −22.6575 | − | 22.6575i | −0.719738 | − | 0.719738i | 0.248813 | − | 0.968551i | \(-0.419959\pi\) |
−0.968551 | + | 0.248813i | \(0.919959\pi\) | |||||||
\(992\) | 19.2325 | + | 8.62517i | 0.610631 | + | 0.273849i | ||||
\(993\) | 55.3847 | − | 55.3847i | 1.75758 | − | 1.75758i | ||||
\(994\) | 5.26538 | + | 10.4832i | 0.167008 | + | 0.332506i | ||||
\(995\) | −20.7178 | − | 11.0739i | −0.656799 | − | 0.351067i | ||||
\(996\) | 21.8163 | − | 45.9204i | 0.691276 | − | 1.45504i | ||||
\(997\) | −10.3194 | + | 12.5742i | −0.326819 | + | 0.398230i | −0.910335 | − | 0.413871i | \(-0.864176\pi\) |
0.583517 | + | 0.812101i | \(0.301676\pi\) | |||||||
\(998\) | −21.9931 | − | 0.558992i | −0.696179 | − | 0.0176946i | ||||
\(999\) | −16.4888 | + | 3.27982i | −0.521682 | + | 0.103769i |
(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 | 640.2.bm.a.461.31 | yes | 1024 | |
128.5 | even | 32 | inner | 640.2.bm.a.261.31 | ✓ | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
640.2.bm.a.261.31 | ✓ | 1024 | 128.5 | even | 32 | inner | |
640.2.bm.a.461.31 | yes | 1024 | 1.1 | even | 1 | trivial |