Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(5,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bf (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(920\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 552.5 |
Dual form | 552.2.bf.a.221.15 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24635 | − | 0.668282i | −0.881305 | − | 0.472547i | ||||
\(3\) | −0.580308 | + | 1.63194i | −0.335041 | + | 0.942204i | ||||
\(4\) | 1.10680 | + | 1.66583i | 0.553399 | + | 0.832917i | ||||
\(5\) | −0.920190 | − | 0.132303i | −0.411521 | − | 0.0591678i | −0.0665547 | − | 0.997783i | \(-0.521201\pi\) |
−0.344967 | + | 0.938615i | \(0.612110\pi\) | |||||||
\(6\) | 1.81387 | − | 1.64617i | 0.740509 | − | 0.672047i | ||||
\(7\) | −0.322471 | + | 0.147268i | −0.121883 | + | 0.0556619i | −0.475423 | − | 0.879757i | \(-0.657705\pi\) |
0.353540 | + | 0.935419i | \(0.384978\pi\) | |||||||
\(8\) | −0.266214 | − | 2.81587i | −0.0941209 | − | 0.995561i | ||||
\(9\) | −2.32649 | − | 1.89406i | −0.775495 | − | 0.631353i | ||||
\(10\) | 1.05847 | + | 0.779843i | 0.334716 | + | 0.246608i | ||||
\(11\) | 0.0901905 | + | 0.307161i | 0.0271935 | + | 0.0926124i | 0.971972 | − | 0.235098i | \(-0.0755411\pi\) |
−0.944778 | + | 0.327710i | \(0.893723\pi\) | |||||||
\(12\) | −3.36083 | + | 0.839535i | −0.970188 | + | 0.242353i | ||||
\(13\) | −2.16222 | − | 0.987452i | −0.599691 | − | 0.273870i | 0.0923513 | − | 0.995726i | \(-0.470562\pi\) |
−0.692043 | + | 0.721857i | \(0.743289\pi\) | |||||||
\(14\) | 0.500330 | + | 0.0319542i | 0.133719 | + | 0.00854012i | ||||
\(15\) | 0.749905 | − | 1.42492i | 0.193625 | − | 0.367913i | ||||
\(16\) | −1.55000 | + | 3.68748i | −0.387500 | + | 0.921870i | ||||
\(17\) | −1.75516 | + | 1.12798i | −0.425690 | + | 0.273574i | −0.735895 | − | 0.677095i | \(-0.763238\pi\) |
0.310206 | + | 0.950670i | \(0.399602\pi\) | |||||||
\(18\) | 1.63386 | + | 3.91542i | 0.385104 | + | 0.922873i | ||||
\(19\) | −0.0845676 | − | 0.0543483i | −0.0194011 | − | 0.0124684i | 0.530904 | − | 0.847432i | \(-0.321852\pi\) |
−0.550305 | + | 0.834963i | \(0.685489\pi\) | |||||||
\(20\) | −0.798068 | − | 1.67932i | −0.178453 | − | 0.375506i | ||||
\(21\) | −0.0532001 | − | 0.611716i | −0.0116092 | − | 0.133487i | ||||
\(22\) | 0.0928608 | − | 0.443104i | 0.0197980 | − | 0.0944700i | ||||
\(23\) | 1.23653 | − | 4.63368i | 0.257835 | − | 0.966189i | ||||
\(24\) | 4.74983 | + | 1.19963i | 0.969555 | + | 0.244873i | ||||
\(25\) | −3.96822 | − | 1.16517i | −0.793644 | − | 0.233035i | ||||
\(26\) | 2.03499 | + | 2.67569i | 0.399095 | + | 0.524745i | ||||
\(27\) | 4.44108 | − | 2.69756i | 0.854686 | − | 0.519145i | ||||
\(28\) | −0.602234 | − | 0.374188i | −0.113811 | − | 0.0707148i | ||||
\(29\) | 2.99108 | − | 1.92225i | 0.555429 | − | 0.356953i | −0.232617 | − | 0.972568i | \(-0.574729\pi\) |
0.788047 | + | 0.615616i | \(0.211093\pi\) | |||||||
\(30\) | −1.88690 | + | 1.27481i | −0.344499 | + | 0.232747i | ||||
\(31\) | 0.0401171 | + | 0.0462976i | 0.00720525 | + | 0.00831530i | 0.759341 | − | 0.650693i | \(-0.225522\pi\) |
−0.752136 | + | 0.659008i | \(0.770976\pi\) | |||||||
\(32\) | 4.39613 | − | 3.56007i | 0.777133 | − | 0.629337i | ||||
\(33\) | −0.553607 | − | 0.0310618i | −0.0963707 | − | 0.00540717i | ||||
\(34\) | 2.94136 | − | 0.232911i | 0.504439 | − | 0.0399440i | ||||
\(35\) | 0.316219 | − | 0.0928502i | 0.0534507 | − | 0.0156945i | ||||
\(36\) | 0.580241 | − | 5.97188i | 0.0967069 | − | 0.995313i | ||||
\(37\) | −1.13015 | − | 7.86034i | −0.185795 | − | 1.29223i | −0.842751 | − | 0.538303i | \(-0.819065\pi\) |
0.656956 | − | 0.753929i | \(-0.271844\pi\) | |||||||
\(38\) | 0.0690812 | + | 0.124252i | 0.0112064 | + | 0.0201564i | ||||
\(39\) | 2.86622 | − | 2.95559i | 0.458962 | − | 0.473274i | ||||
\(40\) | −0.127582 | + | 2.62636i | −0.0201724 | + | 0.415263i | ||||
\(41\) | −1.26210 | − | 0.181463i | −0.197107 | − | 0.0283397i | 0.0430542 | − | 0.999073i | \(-0.486291\pi\) |
−0.240161 | + | 0.970733i | \(0.577200\pi\) | |||||||
\(42\) | −0.342493 | + | 0.797967i | −0.0528478 | + | 0.123129i | ||||
\(43\) | 6.23713 | − | 7.19803i | 0.951153 | − | 1.09769i | −0.0439688 | − | 0.999033i | \(-0.514000\pi\) |
0.995122 | − | 0.0986559i | \(-0.0314543\pi\) | |||||||
\(44\) | −0.411856 | + | 0.490207i | −0.0620896 | + | 0.0739015i | ||||
\(45\) | 1.89022 | + | 2.05070i | 0.281777 | + | 0.305700i | ||||
\(46\) | −4.63776 | + | 4.94885i | −0.683801 | + | 0.729669i | ||||
\(47\) | − | 9.44900i | − | 1.37828i | −0.724629 | − | 0.689139i | \(-0.757989\pi\) | ||
0.724629 | − | 0.689139i | \(-0.242011\pi\) | |||||||
\(48\) | −5.11828 | − | 4.66939i | −0.738761 | − | 0.673968i | ||||
\(49\) | −4.50173 | + | 5.19527i | −0.643104 | + | 0.742181i | ||||
\(50\) | 4.16714 | + | 4.10411i | 0.589323 | + | 0.580409i | ||||
\(51\) | −0.822258 | − | 3.51890i | −0.115139 | − | 0.492745i | ||||
\(52\) | −0.748206 | − | 4.69480i | −0.103758 | − | 0.651052i | ||||
\(53\) | −0.326207 | + | 0.148974i | −0.0448079 | + | 0.0204631i | −0.437693 | − | 0.899125i | \(-0.644204\pi\) |
0.392885 | + | 0.919588i | \(0.371477\pi\) | |||||||
\(54\) | −7.33789 | + | 0.394216i | −0.998560 | + | 0.0536460i | ||||
\(55\) | −0.0423540 | − | 0.294578i | −0.00571101 | − | 0.0397210i | ||||
\(56\) | 0.500533 | + | 0.868833i | 0.0668865 | + | 0.116103i | ||||
\(57\) | 0.137769 | − | 0.106471i | 0.0182479 | − | 0.0141024i | ||||
\(58\) | −5.01255 | + | 0.396918i | −0.658180 | + | 0.0521179i | ||||
\(59\) | −2.31548 | + | 5.07020i | −0.301450 | + | 0.660084i | −0.998370 | − | 0.0570646i | \(-0.981826\pi\) |
0.696920 | + | 0.717149i | \(0.254553\pi\) | |||||||
\(60\) | 3.20367 | − | 0.327883i | 0.413593 | − | 0.0423295i | ||||
\(61\) | −5.63485 | − | 6.50296i | −0.721468 | − | 0.832619i | 0.270015 | − | 0.962856i | \(-0.412971\pi\) |
−0.991483 | + | 0.130238i | \(0.958426\pi\) | |||||||
\(62\) | −0.0190602 | − | 0.0845128i | −0.00242065 | − | 0.0107331i | ||||
\(63\) | 1.02916 | + | 0.268164i | 0.129662 | + | 0.0337855i | ||||
\(64\) | −7.85826 | + | 1.49925i | −0.982283 | + | 0.187406i | ||||
\(65\) | 1.85901 | + | 1.19471i | 0.230581 | + | 0.148186i | ||||
\(66\) | 0.669233 | + | 0.408680i | 0.0823768 | + | 0.0503050i | ||||
\(67\) | −3.74302 | − | 1.09905i | −0.457282 | − | 0.134270i | 0.0449755 | − | 0.998988i | \(-0.485679\pi\) |
−0.502258 | + | 0.864718i | \(0.667497\pi\) | |||||||
\(68\) | −3.82163 | − | 1.67537i | −0.463441 | − | 0.203169i | ||||
\(69\) | 6.84434 | + | 4.70691i | 0.823962 | + | 0.566646i | ||||
\(70\) | −0.456170 | − | 0.0955992i | −0.0545228 | − | 0.0114263i | ||||
\(71\) | 2.34896 | − | 7.99984i | 0.278771 | − | 0.949406i | −0.694451 | − | 0.719540i | \(-0.744353\pi\) |
0.973222 | − | 0.229867i | \(-0.0738290\pi\) | |||||||
\(72\) | −4.71409 | + | 7.05531i | −0.555560 | + | 0.831476i | ||||
\(73\) | 0.748775 | + | 0.481208i | 0.0876375 | + | 0.0563212i | 0.583726 | − | 0.811951i | \(-0.301594\pi\) |
−0.496088 | + | 0.868272i | \(0.665231\pi\) | |||||||
\(74\) | −3.84437 | + | 10.5520i | −0.446898 | + | 1.22665i | ||||
\(75\) | 4.20429 | − | 5.79976i | 0.485470 | − | 0.669698i | ||||
\(76\) | −0.00306398 | − | 0.201028i | −0.000351462 | − | 0.0230595i | ||||
\(77\) | −0.0743187 | − | 0.0857683i | −0.00846940 | − | 0.00977421i | ||||
\(78\) | −5.54749 | + | 1.76827i | −0.628130 | + | 0.200217i | ||||
\(79\) | 0.311167 | + | 0.142105i | 0.0350090 | + | 0.0159881i | 0.432843 | − | 0.901470i | \(-0.357511\pi\) |
−0.397834 | + | 0.917458i | \(0.630238\pi\) | |||||||
\(80\) | 1.91416 | − | 3.18811i | 0.214010 | − | 0.356441i | ||||
\(81\) | 1.82507 | + | 8.81301i | 0.202786 | + | 0.979223i | ||||
\(82\) | 1.45176 | + | 1.06961i | 0.160320 | + | 0.118118i | ||||
\(83\) | −3.39721 | + | 0.488445i | −0.372892 | + | 0.0536138i | −0.326213 | − | 0.945296i | \(-0.605773\pi\) |
−0.0466788 | + | 0.998910i | \(0.514864\pi\) | |||||||
\(84\) | 0.960135 | − | 0.765668i | 0.104759 | − | 0.0835412i | ||||
\(85\) | 1.76432 | − | 0.805737i | 0.191367 | − | 0.0873945i | ||||
\(86\) | −12.5840 | + | 4.80313i | −1.35697 | + | 0.517935i | ||||
\(87\) | 1.40126 | + | 5.99677i | 0.150231 | + | 0.642921i | ||||
\(88\) | 0.840915 | − | 0.335735i | 0.0896418 | − | 0.0357895i | ||||
\(89\) | −7.83239 | + | 9.03906i | −0.830231 | + | 0.958138i | −0.999624 | − | 0.0274106i | \(-0.991274\pi\) |
0.169393 | + | 0.985549i | \(0.445819\pi\) | |||||||
\(90\) | −0.985436 | − | 3.81909i | −0.103874 | − | 0.402568i | ||||
\(91\) | 0.842673 | 0.0883361 | ||||||||
\(92\) | 9.08753 | − | 3.06869i | 0.947440 | − | 0.319933i | ||||
\(93\) | −0.0988354 | + | 0.0386020i | −0.0102488 | + | 0.00400284i | ||||
\(94\) | −6.31460 | + | 11.7768i | −0.651301 | + | 1.21468i | ||||
\(95\) | 0.0706278 | + | 0.0611993i | 0.00724626 | + | 0.00627892i | ||||
\(96\) | 3.25872 | + | 9.24017i | 0.332592 | + | 0.943071i | ||||
\(97\) | −13.2196 | − | 1.90069i | −1.34224 | − | 0.192985i | −0.566515 | − | 0.824052i | \(-0.691709\pi\) |
−0.775729 | + | 0.631066i | \(0.782618\pi\) | |||||||
\(98\) | 9.08265 | − | 3.46672i | 0.917486 | − | 0.350192i | ||||
\(99\) | 0.371954 | − | 0.885431i | 0.0373828 | − | 0.0889892i | ||||
\(100\) | −2.45103 | − | 7.90000i | −0.245103 | − | 0.790000i | ||||
\(101\) | −0.627578 | − | 4.36490i | −0.0624463 | − | 0.434324i | −0.996929 | − | 0.0783144i | \(-0.975046\pi\) |
0.934482 | − | 0.356009i | \(-0.115863\pi\) | |||||||
\(102\) | −1.32680 | + | 4.93530i | −0.131372 | + | 0.488668i | ||||
\(103\) | 2.81418 | + | 9.58421i | 0.277289 | + | 0.944360i | 0.973913 | + | 0.226923i | \(0.0728667\pi\) |
−0.696623 | + | 0.717437i | \(0.745315\pi\) | |||||||
\(104\) | −2.20492 | + | 6.35140i | −0.216211 | + | 0.622806i | ||||
\(105\) | −0.0319778 | + | 0.569933i | −0.00312072 | + | 0.0556198i | ||||
\(106\) | 0.506125 | + | 0.0323243i | 0.0491593 | + | 0.00313962i | ||||
\(107\) | 5.88028 | − | 5.09529i | 0.568468 | − | 0.492580i | −0.322547 | − | 0.946553i | \(-0.604539\pi\) |
0.891015 | + | 0.453973i | \(0.149994\pi\) | |||||||
\(108\) | 9.40905 | + | 4.41245i | 0.905387 | + | 0.424588i | ||||
\(109\) | −0.596822 | + | 0.383555i | −0.0571652 | + | 0.0367379i | −0.568911 | − | 0.822399i | \(-0.692635\pi\) |
0.511746 | + | 0.859137i | \(0.328999\pi\) | |||||||
\(110\) | −0.144074 | + | 0.395454i | −0.0137369 | + | 0.0377050i | ||||
\(111\) | 13.4835 | + | 2.71708i | 1.27979 | + | 0.257894i | ||||
\(112\) | −0.0432159 | − | 1.41737i | −0.00408352 | − | 0.133929i | ||||
\(113\) | 0.259715 | + | 0.0762591i | 0.0244319 | + | 0.00717385i | 0.293926 | − | 0.955828i | \(-0.405038\pi\) |
−0.269494 | + | 0.963002i | \(0.586856\pi\) | |||||||
\(114\) | −0.242861 | + | 0.0406321i | −0.0227460 | + | 0.00380554i | ||||
\(115\) | −1.75089 | + | 4.10027i | −0.163272 | + | 0.382352i | ||||
\(116\) | 6.51266 | + | 2.85510i | 0.604686 | + | 0.265089i | ||||
\(117\) | 3.16008 | + | 6.39266i | 0.292149 | + | 0.591002i | ||||
\(118\) | 6.27424 | − | 4.77187i | 0.577591 | − | 0.439286i | ||||
\(119\) | 0.399876 | − | 0.622218i | 0.0366565 | − | 0.0570387i | ||||
\(120\) | −4.21203 | − | 1.73230i | −0.384504 | − | 0.158137i | ||||
\(121\) | 9.16758 | − | 5.89164i | 0.833416 | − | 0.535604i | ||||
\(122\) | 2.67720 | + | 11.8707i | 0.242382 | + | 1.07472i | ||||
\(123\) | 1.02854 | − | 1.95437i | 0.0927406 | − | 0.176220i | ||||
\(124\) | −0.0327226 | + | 0.118070i | −0.00293858 | + | 0.0106030i | ||||
\(125\) | 7.72556 | + | 3.52815i | 0.690995 | + | 0.315567i | ||||
\(126\) | −1.10349 | − | 1.02200i | −0.0983064 | − | 0.0910466i | ||||
\(127\) | 2.09253 | − | 0.614422i | 0.185682 | − | 0.0545211i | −0.187570 | − | 0.982251i | \(-0.560061\pi\) |
0.373252 | + | 0.927730i | \(0.378243\pi\) | |||||||
\(128\) | 10.7961 | + | 3.38294i | 0.954249 | + | 0.299013i | ||||
\(129\) | 8.12733 | + | 14.3557i | 0.715571 | + | 1.26395i | ||||
\(130\) | −1.51858 | − | 2.73138i | −0.133188 | − | 0.239557i | ||||
\(131\) | −3.76405 | − | 8.24213i | −0.328867 | − | 0.720118i | 0.670903 | − | 0.741545i | \(-0.265906\pi\) |
−0.999770 | + | 0.0214265i | \(0.993179\pi\) | |||||||
\(132\) | −0.560987 | − | 0.956597i | −0.0488277 | − | 0.0832610i | ||||
\(133\) | 0.0352744 | + | 0.00507169i | 0.00305868 | + | 0.000439771i | ||||
\(134\) | 3.93065 | + | 3.87120i | 0.339557 | + | 0.334421i | ||||
\(135\) | −4.44353 | + | 1.89469i | −0.382438 | + | 0.163069i | ||||
\(136\) | 3.64348 | + | 4.64203i | 0.312426 | + | 0.398051i | ||||
\(137\) | −12.4739 | −1.06571 | −0.532857 | − | 0.846205i | \(-0.678882\pi\) | ||||
−0.532857 | + | 0.846205i | \(0.678882\pi\) | |||||||
\(138\) | −5.38492 | − | 10.4404i | −0.458395 | − | 0.888748i | ||||
\(139\) | 9.29929i | 0.788756i | 0.918948 | + | 0.394378i | \(0.129040\pi\) | ||||
−0.918948 | + | 0.394378i | \(0.870960\pi\) | |||||||
\(140\) | 0.504663 | + | 0.424001i | 0.0426518 | + | 0.0358346i | ||||
\(141\) | 15.4202 | + | 5.48333i | 1.29862 | + | 0.461780i | ||||
\(142\) | −8.27379 | + | 8.40086i | −0.694321 | + | 0.704985i | ||||
\(143\) | 0.108295 | − | 0.753207i | 0.00905607 | − | 0.0629863i | ||||
\(144\) | 10.5904 | − | 5.64307i | 0.882530 | − | 0.470256i | ||||
\(145\) | −3.00668 | + | 1.37310i | −0.249691 | + | 0.114030i | ||||
\(146\) | −0.611656 | − | 1.10015i | −0.0506210 | − | 0.0910490i | ||||
\(147\) | −5.86600 | − | 10.3614i | −0.483820 | − | 0.854596i | ||||
\(148\) | 11.8432 | − | 10.5824i | 0.973503 | − | 0.869871i | ||||
\(149\) | 5.34702 | + | 18.2103i | 0.438045 | + | 1.49184i | 0.822535 | + | 0.568714i | \(0.192559\pi\) |
−0.384490 | + | 0.923129i | \(0.625623\pi\) | |||||||
\(150\) | −9.11591 | + | 4.41890i | −0.744311 | + | 0.360801i | ||||
\(151\) | −3.69476 | + | 8.09039i | −0.300675 | + | 0.658387i | −0.998313 | − | 0.0580639i | \(-0.981507\pi\) |
0.697638 | + | 0.716451i | \(0.254235\pi\) | |||||||
\(152\) | −0.130525 | + | 0.252600i | −0.0105870 | + | 0.0204885i | ||||
\(153\) | 6.21982 | + | 0.700168i | 0.502842 | + | 0.0566052i | ||||
\(154\) | 0.0353099 | + | 0.156564i | 0.00284535 | + | 0.0126162i | ||||
\(155\) | −0.0307900 | − | 0.0479102i | −0.00247311 | − | 0.00384824i | ||||
\(156\) | 8.09585 | + | 1.50340i | 0.648187 | + | 0.120368i | ||||
\(157\) | 0.177692 | + | 0.114196i | 0.0141814 | + | 0.00911382i | 0.547712 | − | 0.836667i | \(-0.315499\pi\) |
−0.533531 | + | 0.845781i | \(0.679135\pi\) | |||||||
\(158\) | −0.292858 | − | 0.385061i | −0.0232985 | − | 0.0306338i | ||||
\(159\) | −0.0538163 | − | 0.618802i | −0.00426791 | − | 0.0490742i | ||||
\(160\) | −4.51628 | + | 2.69431i | −0.357043 | + | 0.213004i | ||||
\(161\) | 0.283645 | + | 1.67633i | 0.0223544 | + | 0.132113i | ||||
\(162\) | 3.61490 | − | 12.2038i | 0.284013 | − | 0.958820i | ||||
\(163\) | −3.35221 | + | 11.4166i | −0.262566 | + | 0.894217i | 0.717670 | + | 0.696383i | \(0.245209\pi\) |
−0.980236 | + | 0.197833i | \(0.936610\pi\) | |||||||
\(164\) | −1.09460 | − | 2.30329i | −0.0854741 | − | 0.179857i | ||||
\(165\) | 0.505314 | + | 0.101827i | 0.0393386 | + | 0.00792721i | ||||
\(166\) | 4.56055 | + | 1.66152i | 0.353967 | + | 0.128959i | ||||
\(167\) | −4.07581 | − | 6.34209i | −0.315396 | − | 0.490766i | 0.646973 | − | 0.762513i | \(-0.276035\pi\) |
−0.962369 | + | 0.271748i | \(0.912398\pi\) | |||||||
\(168\) | −1.70835 | + | 0.312652i | −0.131802 | + | 0.0241216i | ||||
\(169\) | −4.81306 | − | 5.55457i | −0.370236 | − | 0.427275i | ||||
\(170\) | −2.73743 | − | 0.174829i | −0.209951 | − | 0.0134088i | ||||
\(171\) | 0.0938064 | + | 0.286617i | 0.00717355 | + | 0.0219181i | ||||
\(172\) | 18.8939 | + | 2.42326i | 1.44065 | + | 0.184772i | ||||
\(173\) | −16.8652 | + | 4.95208i | −1.28224 | + | 0.376499i | −0.850727 | − | 0.525608i | \(-0.823838\pi\) |
−0.431512 | + | 0.902107i | \(0.642020\pi\) | |||||||
\(174\) | 2.26107 | − | 8.41053i | 0.171411 | − | 0.637601i | ||||
\(175\) | 1.45123 | − | 0.208655i | 0.109703 | − | 0.0157729i | ||||
\(176\) | −1.27244 | − | 0.143524i | −0.0959140 | − | 0.0108185i | ||||
\(177\) | −6.93059 | − | 6.72102i | −0.520935 | − | 0.505183i | ||||
\(178\) | 15.8026 | − | 6.03162i | 1.18445 | − | 0.452089i | ||||
\(179\) | −2.10280 | + | 14.6253i | −0.157170 | + | 1.09314i | 0.746646 | + | 0.665222i | \(0.231663\pi\) |
−0.903816 | + | 0.427921i | \(0.859246\pi\) | |||||||
\(180\) | −1.32403 | + | 5.41849i | −0.0986874 | + | 0.403870i | ||||
\(181\) | 3.03080 | − | 3.49772i | 0.225277 | − | 0.259984i | −0.631847 | − | 0.775093i | \(-0.717703\pi\) |
0.857125 | + | 0.515109i | \(0.172249\pi\) | |||||||
\(182\) | −1.05027 | − | 0.563143i | −0.0778511 | − | 0.0417430i | ||||
\(183\) | 13.8824 | − | 5.42204i | 1.02622 | − | 0.400809i | ||||
\(184\) | −13.3770 | − | 2.24836i | −0.986168 | − | 0.165752i | ||||
\(185\) | 7.38253i | 0.542774i | ||||||||
\(186\) | 0.148981 | + | 0.0179382i | 0.0109238 | + | 0.00131529i | ||||
\(187\) | −0.504769 | − | 0.437385i | −0.0369123 | − | 0.0319847i | ||||
\(188\) | 15.7405 | − | 10.4581i | 1.14799 | − | 0.762737i | ||||
\(189\) | −1.03486 | + | 1.52391i | −0.0752748 | + | 0.110848i | ||||
\(190\) | −0.0471288 | − | 0.123475i | −0.00341908 | − | 0.00895784i | ||||
\(191\) | −3.39636 | − | 7.43700i | −0.245752 | − | 0.538122i | 0.746052 | − | 0.665887i | \(-0.231947\pi\) |
−0.991804 | + | 0.127765i | \(0.959220\pi\) | |||||||
\(192\) | 2.11352 | − | 13.6943i | 0.152530 | − | 0.988299i | ||||
\(193\) | −0.458314 | − | 3.18764i | −0.0329902 | − | 0.229452i | 0.966655 | − | 0.256081i | \(-0.0824315\pi\) |
−0.999645 | + | 0.0266298i | \(0.991522\pi\) | |||||||
\(194\) | 15.2061 | + | 11.2033i | 1.09173 | + | 0.804352i | ||||
\(195\) | −3.02850 | + | 2.34050i | −0.216875 | + | 0.167606i | ||||
\(196\) | −13.6369 | − | 1.74902i | −0.974068 | − | 0.124930i | ||||
\(197\) | −6.31144 | + | 13.8201i | −0.449672 | + | 0.984644i | 0.540050 | + | 0.841633i | \(0.318405\pi\) |
−0.989721 | + | 0.143010i | \(0.954322\pi\) | |||||||
\(198\) | −1.05530 | + | 0.854990i | −0.0749972 | + | 0.0607615i | ||||
\(199\) | 20.0270 | − | 17.3535i | 1.41967 | − | 1.23015i | 0.485063 | − | 0.874479i | \(-0.338796\pi\) |
0.934610 | − | 0.355675i | \(-0.115749\pi\) | |||||||
\(200\) | −2.22459 | + | 11.4842i | −0.157302 | + | 0.812054i | ||||
\(201\) | 3.96569 | − | 5.47061i | 0.279718 | − | 0.385867i | ||||
\(202\) | −2.13480 | + | 5.85961i | −0.150204 | + | 0.412281i | ||||
\(203\) | −0.681451 | + | 1.06036i | −0.0478285 | + | 0.0744226i | ||||
\(204\) | 4.95183 | − | 5.26446i | 0.346698 | − | 0.368586i | ||||
\(205\) | 1.13736 | + | 0.333960i | 0.0794369 | + | 0.0233248i | ||||
\(206\) | 2.89750 | − | 13.8260i | 0.201878 | − | 0.963302i | ||||
\(207\) | −11.6532 | + | 8.43812i | −0.809956 | + | 0.586490i | ||||
\(208\) | 6.99265 | − | 6.44258i | 0.484853 | − | 0.446713i | ||||
\(209\) | 0.00906646 | − | 0.0308775i | 0.000627140 | − | 0.00213584i | ||||
\(210\) | 0.420732 | − | 0.688968i | 0.0290333 | − | 0.0475433i | ||||
\(211\) | −6.71529 | + | 10.4492i | −0.462299 | + | 0.719352i | −0.991637 | − | 0.129060i | \(-0.958804\pi\) |
0.529337 | + | 0.848411i | \(0.322441\pi\) | |||||||
\(212\) | −0.609210 | − | 0.378522i | −0.0418407 | − | 0.0259970i | ||||
\(213\) | 11.6922 | + | 8.47575i | 0.801134 | + | 0.580749i | ||||
\(214\) | −10.7340 | + | 2.42085i | −0.733761 | + | 0.165486i | ||||
\(215\) | −6.69166 | + | 5.79836i | −0.456367 | + | 0.395445i | ||||
\(216\) | −8.77825 | − | 11.7874i | −0.597284 | − | 0.802030i | ||||
\(217\) | −0.0197548 | − | 0.00902169i | −0.00134104 | − | 0.000612432i | ||||
\(218\) | 1.00017 | − | 0.0791987i | 0.0677404 | − | 0.00536402i | ||||
\(219\) | −1.21983 | + | 0.942710i | −0.0824282 | + | 0.0637024i | ||||
\(220\) | 0.443841 | − | 0.396593i | 0.0299238 | − | 0.0267383i | ||||
\(221\) | 4.90887 | − | 0.705789i | 0.330206 | − | 0.0474765i | ||||
\(222\) | −14.9894 | − | 12.3972i | −1.00602 | − | 0.832047i | ||||
\(223\) | −4.04126 | − | 8.84912i | −0.270623 | − | 0.592581i | 0.724713 | − | 0.689051i | \(-0.241972\pi\) |
−0.995336 | + | 0.0964696i | \(0.969245\pi\) | |||||||
\(224\) | −0.893342 | + | 1.79543i | −0.0596889 | + | 0.119962i | ||||
\(225\) | 7.02510 | + | 10.2268i | 0.468340 | + | 0.681787i | ||||
\(226\) | −0.272734 | − | 0.268608i | −0.0181420 | − | 0.0178676i | ||||
\(227\) | −17.5913 | − | 15.2430i | −1.16758 | − | 1.01171i | −0.999664 | − | 0.0259084i | \(-0.991752\pi\) |
−0.167912 | − | 0.985802i | \(-0.553702\pi\) | |||||||
\(228\) | 0.329845 | + | 0.111658i | 0.0218445 | + | 0.00739473i | ||||
\(229\) | −15.5298 | −1.02624 | −0.513119 | − | 0.858317i | \(-0.671510\pi\) | ||||
−0.513119 | + | 0.858317i | \(0.671510\pi\) | |||||||
\(230\) | 4.92237 | − | 3.94029i | 0.324572 | − | 0.259815i | ||||
\(231\) | 0.183097 | − | 0.0715119i | 0.0120469 | − | 0.00470514i | ||||
\(232\) | −6.20907 | − | 7.91076i | −0.407646 | − | 0.519367i | ||||
\(233\) | −17.1456 | − | 14.8567i | −1.12324 | − | 0.973296i | −0.123425 | − | 0.992354i | \(-0.539388\pi\) |
−0.999818 | + | 0.0190580i | \(0.993933\pi\) | |||||||
\(234\) | 0.333532 | − | 10.0793i | 0.0218037 | − | 0.658907i | ||||
\(235\) | −1.25013 | + | 8.69487i | −0.0815497 | + | 0.567191i | ||||
\(236\) | −11.0089 | + | 1.75448i | −0.716617 | + | 0.114207i | ||||
\(237\) | −0.412480 | + | 0.425342i | −0.0267935 | + | 0.0276290i | ||||
\(238\) | −0.914204 | + | 0.508275i | −0.0592591 | + | 0.0329466i | ||||
\(239\) | −14.8841 | + | 2.14001i | −0.962770 | + | 0.138425i | −0.605736 | − | 0.795666i | \(-0.707121\pi\) |
−0.357034 | + | 0.934091i | \(0.616212\pi\) | |||||||
\(240\) | 4.09202 | + | 4.97389i | 0.264138 | + | 0.321063i | ||||
\(241\) | 6.34645 | + | 21.6140i | 0.408810 | + | 1.39228i | 0.864720 | + | 0.502254i | \(0.167496\pi\) |
−0.455909 | + | 0.890026i | \(0.650686\pi\) | |||||||
\(242\) | −15.3633 | + | 1.21654i | −0.987592 | + | 0.0782024i | ||||
\(243\) | −15.4414 | − | 2.13585i | −0.990569 | − | 0.137015i | ||||
\(244\) | 4.59621 | − | 16.5842i | 0.294242 | − | 1.06169i | ||||
\(245\) | 4.82979 | − | 4.18504i | 0.308564 | − | 0.267372i | ||||
\(246\) | −2.58800 | + | 1.74848i | −0.165005 | + | 0.111479i | ||||
\(247\) | 0.129187 | + | 0.201019i | 0.00821999 | + | 0.0127906i | ||||
\(248\) | 0.119688 | − | 0.125290i | 0.00760022 | − | 0.00795590i | ||||
\(249\) | 1.17431 | − | 5.82751i | 0.0744190 | − | 0.369303i | ||||
\(250\) | −7.27099 | − | 9.56018i | −0.459858 | − | 0.604639i | ||||
\(251\) | −1.89361 | + | 6.44904i | −0.119523 | + | 0.407060i | −0.997420 | − | 0.0717914i | \(-0.977128\pi\) |
0.877896 | + | 0.478851i | \(0.158947\pi\) | |||||||
\(252\) | 0.692353 | + | 2.01121i | 0.0436142 | + | 0.126694i | ||||
\(253\) | 1.53481 | − | 0.0381001i | 0.0964925 | − | 0.00239533i | ||||
\(254\) | −3.01864 | − | 0.632613i | −0.189406 | − | 0.0396937i | ||||
\(255\) | 0.291071 | + | 3.34685i | 0.0182275 | + | 0.209588i | ||||
\(256\) | −11.1950 | − | 11.4312i | −0.699687 | − | 0.714449i | ||||
\(257\) | 2.82934 | − | 4.40254i | 0.176490 | − | 0.274623i | −0.741727 | − | 0.670702i | \(-0.765993\pi\) |
0.918216 | + | 0.396079i | \(0.129629\pi\) | |||||||
\(258\) | −0.535855 | − | 23.3237i | −0.0333609 | − | 1.45207i | ||||
\(259\) | 1.52201 | + | 2.36830i | 0.0945733 | + | 0.147159i | ||||
\(260\) | 0.0673539 | + | 4.41910i | 0.00417711 | + | 0.274061i | ||||
\(261\) | −10.5996 | − | 1.19320i | −0.656096 | − | 0.0738571i | ||||
\(262\) | −0.816726 | + | 12.7881i | −0.0504575 | + | 0.790049i | ||||
\(263\) | 6.71392 | − | 14.7014i | 0.413998 | − | 0.906530i | −0.581659 | − | 0.813433i | \(-0.697596\pi\) |
0.995657 | − | 0.0930970i | \(-0.0296767\pi\) | |||||||
\(264\) | 0.0599119 | + | 1.56716i | 0.00368732 | + | 0.0964518i | ||||
\(265\) | 0.319882 | − | 0.0939257i | 0.0196502 | − | 0.00576981i | ||||
\(266\) | −0.0405750 | − | 0.0298944i | −0.00248781 | − | 0.00183294i | ||||
\(267\) | −10.2060 | − | 18.0275i | −0.624600 | − | 1.10326i | ||||
\(268\) | −2.31193 | − | 7.45167i | −0.141224 | − | 0.455183i | ||||
\(269\) | −9.05469 | − | 19.8270i | −0.552074 | − | 1.20887i | −0.955807 | − | 0.293996i | \(-0.905015\pi\) |
0.403733 | − | 0.914877i | \(-0.367713\pi\) | |||||||
\(270\) | 6.80440 | + | 0.608073i | 0.414103 | + | 0.0370062i | ||||
\(271\) | −2.87994 | + | 20.0304i | −0.174944 | + | 1.21676i | 0.693310 | + | 0.720639i | \(0.256152\pi\) |
−0.868254 | + | 0.496120i | \(0.834758\pi\) | |||||||
\(272\) | −1.43888 | − | 8.22049i | −0.0872449 | − | 0.498441i | ||||
\(273\) | −0.489010 | + | 1.37520i | −0.0295962 | + | 0.0832306i | ||||
\(274\) | 15.5469 | + | 8.33607i | 0.939220 | + | 0.503600i | ||||
\(275\) | − | 1.32397i | − | 0.0798383i | ||||||
\(276\) | −0.265635 | + | 16.6111i | −0.0159893 | + | 0.999872i | ||||
\(277\) | − | 16.6215i | − | 0.998690i | −0.866403 | − | 0.499345i | \(-0.833574\pi\) | ||
0.866403 | − | 0.499345i | \(-0.166426\pi\) | |||||||
\(278\) | 6.21455 | − | 11.5902i | 0.372724 | − | 0.695135i | ||||
\(279\) | −0.00564140 | − | 0.183695i | −0.000337742 | − | 0.0109975i | ||||
\(280\) | −0.345636 | − | 0.865713i | −0.0206557 | − | 0.0517362i | ||||
\(281\) | 3.63417 | − | 25.2762i | 0.216796 | − | 1.50785i | −0.532962 | − | 0.846139i | \(-0.678921\pi\) |
0.749758 | − | 0.661712i | \(-0.230170\pi\) | |||||||
\(282\) | −15.5547 | − | 17.1392i | −0.926267 | − | 1.02063i | ||||
\(283\) | 12.9937 | + | 28.4523i | 0.772398 | + | 1.69132i | 0.721301 | + | 0.692622i | \(0.243545\pi\) |
0.0510976 | + | 0.998694i | \(0.483728\pi\) | |||||||
\(284\) | 15.9262 | − | 4.94122i | 0.945048 | − | 0.293207i | ||||
\(285\) | −0.140860 | + | 0.0797462i | −0.00834381 | + | 0.00472376i | ||||
\(286\) | −0.638329 | + | 0.866391i | −0.0377452 | + | 0.0512308i | ||||
\(287\) | 0.433714 | − | 0.127350i | 0.0256014 | − | 0.00751723i | ||||
\(288\) | −16.9705 | − | 0.0440875i | −0.999997 | − | 0.00259788i | ||||
\(289\) | −5.25378 | + | 11.5042i | −0.309046 | + | 0.676716i | ||||
\(290\) | 4.66501 | + | 0.297937i | 0.273939 | + | 0.0174954i | ||||
\(291\) | 10.7732 | − | 20.4706i | 0.631538 | − | 1.20001i | ||||
\(292\) | 0.0271289 | + | 1.77993i | 0.00158760 | + | 0.104163i | ||||
\(293\) | −12.1148 | − | 18.8511i | −0.707757 | − | 1.10129i | −0.989879 | − | 0.141913i | \(-0.954675\pi\) |
0.282122 | − | 0.959379i | \(-0.408962\pi\) | |||||||
\(294\) | 0.386760 | + | 16.8341i | 0.0225563 | + | 0.981787i | ||||
\(295\) | 2.80149 | − | 4.35920i | 0.163109 | − | 0.253802i | ||||
\(296\) | −21.8328 | + | 5.27488i | −1.26901 | + | 0.306596i | ||||
\(297\) | 1.22913 | + | 1.12083i | 0.0713211 | + | 0.0650372i | ||||
\(298\) | 5.50533 | − | 26.2698i | 0.318915 | − | 1.52177i | ||||
\(299\) | −7.24919 | + | 8.79801i | −0.419231 | + | 0.508802i | ||||
\(300\) | 14.3147 | + | 0.584493i | 0.826461 | + | 0.0337457i | ||||
\(301\) | −0.951257 | + | 3.23968i | −0.0548295 | + | 0.186732i | ||||
\(302\) | 10.0116 | − | 7.61435i | 0.576105 | − | 0.438157i | ||||
\(303\) | 7.48746 | + | 1.50881i | 0.430143 | + | 0.0866791i | ||||
\(304\) | 0.331488 | − | 0.227601i | 0.0190121 | − | 0.0130538i | ||||
\(305\) | 4.32476 | + | 6.72946i | 0.247635 | + | 0.385328i | ||||
\(306\) | −7.28418 | − | 5.02925i | −0.416409 | − | 0.287503i | ||||
\(307\) | −6.47536 | + | 5.61093i | −0.369568 | + | 0.320233i | −0.819769 | − | 0.572695i | \(-0.805898\pi\) |
0.450200 | + | 0.892928i | \(0.351353\pi\) | |||||||
\(308\) | 0.0606200 | − | 0.218731i | 0.00345415 | − | 0.0124633i | ||||
\(309\) | −17.2740 | − | 0.969211i | −0.982683 | − | 0.0551365i | ||||
\(310\) | 0.00635772 | + | 0.0802895i | 0.000361094 | + | 0.00456014i | ||||
\(311\) | 5.73628 | + | 19.5360i | 0.325275 | + | 1.10778i | 0.946111 | + | 0.323843i | \(0.104975\pi\) |
−0.620836 | + | 0.783940i | \(0.713207\pi\) | |||||||
\(312\) | −9.08560 | − | 7.28408i | −0.514371 | − | 0.412380i | ||||
\(313\) | 25.9251 | − | 3.72747i | 1.46537 | − | 0.210689i | 0.636999 | − | 0.770865i | \(-0.280176\pi\) |
0.828374 | + | 0.560176i | \(0.189266\pi\) | |||||||
\(314\) | −0.145152 | − | 0.261077i | −0.00819142 | − | 0.0147334i | ||||
\(315\) | −0.911542 | − | 0.382923i | −0.0513596 | − | 0.0215752i | ||||
\(316\) | 0.107675 | + | 0.675634i | 0.00605720 | + | 0.0380074i | ||||
\(317\) | −1.59902 | + | 11.1214i | −0.0898099 | + | 0.624642i | 0.894351 | + | 0.447365i | \(0.147638\pi\) |
−0.984161 | + | 0.177276i | \(0.943271\pi\) | |||||||
\(318\) | −0.346460 | + | 0.807211i | −0.0194285 | + | 0.0452661i | ||||
\(319\) | 0.860206 | + | 0.745373i | 0.0481623 | + | 0.0417329i | ||||
\(320\) | 7.42944 | − | 0.339919i | 0.415319 | − | 0.0190021i | ||||
\(321\) | 4.90286 | + | 12.5531i | 0.273651 | + | 0.700647i | ||||
\(322\) | 0.766739 | − | 2.27886i | 0.0427287 | − | 0.126996i | ||||
\(323\) | 0.209734 | 0.0116699 | ||||||||
\(324\) | −12.6610 | + | 12.7945i | −0.703390 | + | 0.710804i | ||||
\(325\) | 7.42960 | + | 6.43779i | 0.412120 | + | 0.357104i | ||||
\(326\) | 11.8076 | − | 11.9889i | 0.653960 | − | 0.664003i | ||||
\(327\) | −0.279599 | − | 1.19656i | −0.0154619 | − | 0.0661700i | ||||
\(328\) | −0.174987 | + | 3.60222i | −0.00966202 | + | 0.198899i | ||||
\(329\) | 1.39153 | + | 3.04703i | 0.0767177 | + | 0.167988i | ||||
\(330\) | −0.561751 | − | 0.464605i | −0.0309234 | − | 0.0255757i | ||||
\(331\) | 31.4747 | − | 4.52539i | 1.73001 | − | 0.248738i | 0.795824 | − | 0.605528i | \(-0.207038\pi\) |
0.934184 | + | 0.356790i | \(0.116129\pi\) | |||||||
\(332\) | −4.57369 | − | 5.11858i | −0.251014 | − | 0.280918i | ||||
\(333\) | −12.2587 | + | 20.4275i | −0.671772 | + | 1.11942i | ||||
\(334\) | 0.841599 | + | 10.6283i | 0.0460503 | + | 0.581554i | ||||
\(335\) | 3.29888 | + | 1.50655i | 0.180237 | + | 0.0823115i | ||||
\(336\) | 2.33815 | + | 0.751985i | 0.127556 | + | 0.0410242i | ||||
\(337\) | 14.4986 | − | 12.5631i | 0.789791 | − | 0.684357i | −0.163456 | − | 0.986551i | \(-0.552264\pi\) |
0.953247 | + | 0.302193i | \(0.0977188\pi\) | |||||||
\(338\) | 2.28676 | + | 10.1395i | 0.124383 | + | 0.551513i | ||||
\(339\) | −0.275165 | + | 0.379586i | −0.0149449 | + | 0.0206163i | ||||
\(340\) | 3.29497 | + | 2.04727i | 0.178695 | + | 0.111029i | ||||
\(341\) | −0.0106026 | + | 0.0164980i | −0.000574164 | + | 0.000893417i | ||||
\(342\) | 0.0746250 | − | 0.419915i | 0.00403526 | − | 0.0227064i | ||||
\(343\) | 1.38572 | − | 4.71931i | 0.0748216 | − | 0.254819i | ||||
\(344\) | −21.9291 | − | 15.6467i | −1.18234 | − | 0.843615i | ||||
\(345\) | −5.67535 | − | 5.23678i | −0.305551 | − | 0.281939i | ||||
\(346\) | 24.3294 | + | 5.09869i | 1.30796 | + | 0.274107i | ||||
\(347\) | 11.9355 | + | 3.50457i | 0.640730 | + | 0.188135i | 0.585930 | − | 0.810362i | \(-0.300729\pi\) |
0.0548007 | + | 0.998497i | \(0.482548\pi\) | |||||||
\(348\) | −8.43871 | + | 8.97147i | −0.452362 | + | 0.480921i | ||||
\(349\) | −3.56518 | + | 5.54753i | −0.190840 | + | 0.296952i | −0.923467 | − | 0.383677i | \(-0.874657\pi\) |
0.732627 | + | 0.680630i | \(0.238294\pi\) | |||||||
\(350\) | −1.94819 | − | 0.709773i | −0.104135 | − | 0.0379389i | ||||
\(351\) | −12.2663 | + | 1.44735i | −0.654726 | + | 0.0772541i | ||||
\(352\) | 1.49000 | + | 1.02923i | 0.0794173 | + | 0.0548583i | ||||
\(353\) | 19.1379 | − | 16.5831i | 1.01861 | − | 0.882627i | 0.0254798 | − | 0.999675i | \(-0.491889\pi\) |
0.993126 | + | 0.117048i | \(0.0373432\pi\) | |||||||
\(354\) | 4.14644 | + | 13.0084i | 0.220381 | + | 0.691387i | ||||
\(355\) | −3.21990 | + | 7.05059i | −0.170894 | + | 0.374207i | ||||
\(356\) | −23.7264 | − | 3.04305i | −1.25750 | − | 0.161281i | ||||
\(357\) | 0.783375 | + | 1.01365i | 0.0414606 | + | 0.0536482i | ||||
\(358\) | 12.3946 | − | 16.8230i | 0.655077 | − | 0.889123i | ||||
\(359\) | 1.58193 | + | 11.0026i | 0.0834912 | + | 0.580694i | 0.988025 | + | 0.154292i | \(0.0493098\pi\) |
−0.904534 | + | 0.426401i | \(0.859781\pi\) | |||||||
\(360\) | 5.27129 | − | 5.86853i | 0.277822 | − | 0.309299i | ||||
\(361\) | −7.88869 | − | 17.2738i | −0.415194 | − | 0.909148i | ||||
\(362\) | −6.11491 | + | 2.33398i | −0.321393 | + | 0.122671i | ||||
\(363\) | 4.29482 | + | 18.3799i | 0.225419 | + | 0.964697i | ||||
\(364\) | 0.932668 | + | 1.40375i | 0.0488851 | + | 0.0735766i | ||||
\(365\) | −0.625349 | − | 0.541868i | −0.0327323 | − | 0.0283627i | ||||
\(366\) | −20.9259 | − | 2.51960i | −1.09381 | − | 0.131701i | ||||
\(367\) | − | 24.9875i | − | 1.30434i | −0.758073 | − | 0.652169i | \(-0.773859\pi\) | ||
0.758073 | − | 0.652169i | \(-0.226141\pi\) | |||||||
\(368\) | 15.1700 | + | 11.7419i | 0.790789 | + | 0.612088i | ||||
\(369\) | 2.59256 | + | 2.81266i | 0.134963 | + | 0.146421i | ||||
\(370\) | 4.93361 | − | 9.20124i | 0.256486 | − | 0.478350i | ||||
\(371\) | 0.0832533 | − | 0.0960794i | 0.00432229 | − | 0.00498819i | ||||
\(372\) | −0.173695 | − | 0.121919i | −0.00900568 | − | 0.00632119i | ||||
\(373\) | −0.750236 | + | 5.21800i | −0.0388457 | + | 0.270178i | −0.999983 | − | 0.00589420i | \(-0.998124\pi\) |
0.961137 | + | 0.276072i | \(0.0890329\pi\) | |||||||
\(374\) | 0.336824 | + | 0.882464i | 0.0174168 | + | 0.0456311i | ||||
\(375\) | −10.2409 | + | 10.5603i | −0.528840 | + | 0.545331i | ||||
\(376\) | −26.6072 | + | 2.51546i | −1.37216 | + | 0.129725i | ||||
\(377\) | −8.36549 | + | 1.20278i | −0.430845 | + | 0.0619461i | ||||
\(378\) | 2.30820 | − | 1.20776i | 0.118721 | − | 0.0621203i | ||||
\(379\) | 34.3575 | − | 10.0883i | 1.76483 | − | 0.518199i | 0.771776 | − | 0.635895i | \(-0.219369\pi\) |
0.993050 | + | 0.117696i | \(0.0375507\pi\) | |||||||
\(380\) | −0.0237772 | + | 0.185389i | −0.00121975 | + | 0.00951027i | ||||
\(381\) | −0.211608 | + | 3.77144i | −0.0108410 | + | 0.193217i | ||||
\(382\) | −0.736944 | + | 11.5389i | −0.0377054 | + | 0.590380i | ||||
\(383\) | 9.61537 | + | 11.0967i | 0.491323 | + | 0.567016i | 0.946219 | − | 0.323528i | \(-0.104869\pi\) |
−0.454896 | + | 0.890545i | \(0.650324\pi\) | |||||||
\(384\) | −11.7858 | + | 15.6555i | −0.601443 | + | 0.798915i | ||||
\(385\) | 0.0570398 | + | 0.0887557i | 0.00290702 | + | 0.00452341i | ||||
\(386\) | −1.55903 | + | 4.27922i | −0.0793523 | + | 0.217806i | ||||
\(387\) | −28.1441 | + | 4.93261i | −1.43064 | + | 0.250739i | ||||
\(388\) | −11.4652 | − | 24.1253i | −0.582055 | − | 1.22477i | ||||
\(389\) | 3.08056 | − | 10.4914i | 0.156190 | − | 0.531936i | −0.843798 | − | 0.536660i | \(-0.819686\pi\) |
0.999989 | + | 0.00472459i | \(0.00150389\pi\) | |||||||
\(390\) | 5.33869 | − | 0.893194i | 0.270335 | − | 0.0452286i | ||||
\(391\) | 3.05636 | + | 9.52765i | 0.154567 | + | 0.481834i | ||||
\(392\) | 15.8276 | + | 11.2932i | 0.799416 | + | 0.570394i | ||||
\(393\) | 15.6350 | − | 1.35976i | 0.788682 | − | 0.0685906i | ||||
\(394\) | 17.1020 | − | 13.0070i | 0.861588 | − | 0.655281i | ||||
\(395\) | −0.267531 | − | 0.171932i | −0.0134610 | − | 0.00865084i | ||||
\(396\) | 1.88666 | − | 0.360379i | 0.0948081 | − | 0.0181097i | ||||
\(397\) | −1.71971 | − | 2.67592i | −0.0863098 | − | 0.134301i | 0.795414 | − | 0.606066i | \(-0.207253\pi\) |
−0.881724 | + | 0.471765i | \(0.843617\pi\) | |||||||
\(398\) | −36.5577 | + | 8.24489i | −1.83247 | + | 0.413279i | ||||
\(399\) | −0.0287467 | + | 0.0546227i | −0.00143914 | + | 0.00273455i | ||||
\(400\) | 10.4473 | − | 12.8267i | 0.522365 | − | 0.641335i | ||||
\(401\) | 12.0123 | − | 26.3033i | 0.599867 | − | 1.31352i | −0.329426 | − | 0.944181i | \(-0.606855\pi\) |
0.929293 | − | 0.369343i | \(-0.120417\pi\) | |||||||
\(402\) | −8.59857 | + | 4.16812i | −0.428858 | + | 0.207887i | ||||
\(403\) | −0.0410253 | − | 0.139719i | −0.00204361 | − | 0.00695991i | ||||
\(404\) | 6.57659 | − | 5.87650i | 0.327198 | − | 0.292367i | ||||
\(405\) | −0.513420 | − | 8.35110i | −0.0255121 | − | 0.414970i | ||||
\(406\) | 1.55795 | − | 0.866181i | 0.0773197 | − | 0.0429878i | ||||
\(407\) | 2.31246 | − | 1.05606i | 0.114624 | − | 0.0523472i | ||||
\(408\) | −9.68988 | + | 3.25215i | −0.479721 | + | 0.161006i | ||||
\(409\) | −0.668664 | + | 4.65066i | −0.0330633 | + | 0.229960i | −0.999652 | − | 0.0263712i | \(-0.991605\pi\) |
0.966589 | + | 0.256332i | \(0.0825139\pi\) | |||||||
\(410\) | −1.19438 | − | 1.17631i | −0.0589861 | − | 0.0580939i | ||||
\(411\) | 7.23869 | − | 20.3567i | 0.357058 | − | 1.00412i | ||||
\(412\) | −12.8510 | + | 15.2957i | −0.633122 | + | 0.753567i | ||||
\(413\) | − | 1.97599i | − | 0.0972321i | ||||||
\(414\) | 20.1631 | − | 2.72923i | 0.990963 | − | 0.134134i | ||||
\(415\) | 3.19070 | 0.156625 | ||||||||
\(416\) | −13.0208 | + | 3.35668i | −0.638396 | + | 0.164575i | ||||
\(417\) | −15.1759 | − | 5.39645i | −0.743168 | − | 0.264265i | ||||
\(418\) | −0.0319349 | + | 0.0324254i | −0.00156199 | + | 0.00158598i | ||||
\(419\) | 30.2562 | + | 4.35018i | 1.47811 | + | 0.212520i | 0.833725 | − | 0.552179i | \(-0.186204\pi\) |
0.644387 | + | 0.764700i | \(0.277113\pi\) | |||||||
\(420\) | −0.984806 | + | 0.577530i | −0.0480536 | + | 0.0281806i | ||||
\(421\) | −4.94332 | − | 10.8244i | −0.240923 | − | 0.527547i | 0.750087 | − | 0.661339i | \(-0.230012\pi\) |
−0.991009 | + | 0.133792i | \(0.957284\pi\) | |||||||
\(422\) | 15.3526 | − | 8.53568i | 0.747355 | − | 0.415510i | ||||
\(423\) | −17.8970 | + | 21.9830i | −0.870181 | + | 1.06885i | ||||
\(424\) | 0.506331 | + | 0.878897i | 0.0245896 | + | 0.0426830i | ||||
\(425\) | 8.27917 | − | 2.43098i | 0.401599 | − | 0.117920i | ||||
\(426\) | −8.90839 | − | 18.3775i | −0.431613 | − | 0.890391i | ||||
\(427\) | 2.77475 | + | 1.26719i | 0.134280 | + | 0.0613235i | ||||
\(428\) | 14.9962 | + | 4.15611i | 0.724868 | + | 0.200893i | ||||
\(429\) | 1.16635 | + | 0.613823i | 0.0563118 | + | 0.0296357i | ||||
\(430\) | 12.2151 | − | 2.75489i | 0.589065 | − | 0.132852i | ||||
\(431\) | −12.3191 | + | 7.91699i | −0.593389 | + | 0.381348i | −0.802596 | − | 0.596523i | \(-0.796548\pi\) |
0.209206 | + | 0.977872i | \(0.432912\pi\) | |||||||
\(432\) | 3.06351 | + | 20.5576i | 0.147393 | + | 0.989078i | ||||
\(433\) | 4.66609 | − | 7.26058i | 0.224238 | − | 0.348921i | −0.710846 | − | 0.703348i | \(-0.751688\pi\) |
0.935084 | + | 0.354427i | \(0.115324\pi\) | |||||||
\(434\) | 0.0185924 | + | 0.0244460i | 0.000892463 | + | 0.00117344i | ||||
\(435\) | −0.496030 | − | 5.70356i | −0.0237828 | − | 0.273465i | ||||
\(436\) | −1.29950 | − | 0.569690i | −0.0622347 | − | 0.0272832i | ||||
\(437\) | −0.356403 | + | 0.324656i | −0.0170491 | + | 0.0155304i | ||||
\(438\) | 2.15033 | − | 0.359763i | 0.102747 | − | 0.0171901i | ||||
\(439\) | −7.70419 | − | 2.26215i | −0.367701 | − | 0.107967i | 0.0926618 | − | 0.995698i | \(-0.470462\pi\) |
−0.460363 | + | 0.887731i | \(0.652281\pi\) | |||||||
\(440\) | −0.818220 | + | 0.197684i | −0.0390071 | + | 0.00942423i | ||||
\(441\) | 20.3134 | − | 3.56018i | 0.967302 | − | 0.169532i | ||||
\(442\) | −6.58985 | − | 2.40085i | −0.313447 | − | 0.114197i | ||||
\(443\) | −14.6184 | + | 9.39471i | −0.694543 | + | 0.446356i | −0.839698 | − | 0.543053i | \(-0.817268\pi\) |
0.145155 | + | 0.989409i | \(0.453632\pi\) | |||||||
\(444\) | 10.3973 | + | 25.4685i | 0.493432 | + | 1.20868i | ||||
\(445\) | 8.40318 | − | 7.28139i | 0.398349 | − | 0.345171i | ||||
\(446\) | −0.876874 | + | 13.7298i | −0.0415212 | + | 0.650127i | ||||
\(447\) | −32.8211 | − | 1.84153i | −1.55238 | − | 0.0871012i | ||||
\(448\) | 2.31327 | − | 1.64073i | 0.109292 | − | 0.0775173i | ||||
\(449\) | 6.60463 | + | 22.4933i | 0.311692 | + | 1.06153i | 0.955169 | + | 0.296060i | \(0.0956729\pi\) |
−0.643477 | + | 0.765465i | \(0.722509\pi\) | |||||||
\(450\) | −1.92136 | − | 17.4410i | −0.0905737 | − | 0.822176i | ||||
\(451\) | −0.0580913 | − | 0.404034i | −0.00273541 | − | 0.0190252i | ||||
\(452\) | 0.160416 | + | 0.517044i | 0.00754535 | + | 0.0243197i | ||||
\(453\) | −11.0590 | − | 10.7246i | −0.519596 | − | 0.503884i | ||||
\(454\) | 11.7384 | + | 30.7541i | 0.550910 | + | 1.44336i | ||||
\(455\) | −0.775419 | − | 0.111488i | −0.0363522 | − | 0.00522665i | ||||
\(456\) | −0.336484 | − | 0.359595i | −0.0157573 | − | 0.0168396i | ||||
\(457\) | 2.24874 | + | 1.94854i | 0.105192 | + | 0.0911490i | 0.705869 | − | 0.708343i | \(-0.250557\pi\) |
−0.600677 | + | 0.799492i | \(0.705102\pi\) | |||||||
\(458\) | 19.3556 | + | 10.3783i | 0.904429 | + | 0.484946i | ||||
\(459\) | −4.75204 | + | 9.74408i | −0.221806 | + | 0.454815i | ||||
\(460\) | −8.76824 | + | 1.62147i | −0.408822 | + | 0.0756012i | ||||
\(461\) | −20.9722 | −0.976771 | −0.488385 | − | 0.872628i | \(-0.662414\pi\) | ||||
−0.488385 | + | 0.872628i | \(0.662414\pi\) | |||||||
\(462\) | −0.275994 | − | 0.0332312i | −0.0128404 | − | 0.00154606i | ||||
\(463\) | 13.2307 | − | 15.2691i | 0.614885 | − | 0.709615i | −0.359843 | − | 0.933013i | \(-0.617170\pi\) |
0.974727 | + | 0.223398i | \(0.0717151\pi\) | |||||||
\(464\) | 2.45208 | + | 14.0090i | 0.113835 | + | 0.650353i | ||||
\(465\) | 0.0960545 | − | 0.0224449i | 0.00445442 | − | 0.00104086i | ||||
\(466\) | 11.4410 | + | 29.9748i | 0.529992 | + | 1.38856i | ||||
\(467\) | 29.4667 | − | 13.4570i | 1.36356 | − | 0.622716i | 0.406778 | − | 0.913527i | \(-0.366652\pi\) |
0.956780 | + | 0.290811i | \(0.0939251\pi\) | |||||||
\(468\) | −7.15155 | + | 12.3395i | −0.330580 | + | 0.570395i | ||||
\(469\) | 1.36887 | − | 0.196814i | 0.0632085 | − | 0.00908802i | ||||
\(470\) | 7.36874 | − | 10.0014i | 0.339895 | − | 0.461332i | ||||
\(471\) | −0.289478 | + | 0.223715i | −0.0133384 | + | 0.0103082i | ||||
\(472\) | 14.8934 | + | 5.17034i | 0.685527 | + | 0.237984i | ||||
\(473\) | 2.77348 | + | 1.26661i | 0.127525 | + | 0.0582386i | ||||
\(474\) | 0.798345 | − | 0.254474i | 0.0366692 | − | 0.0116884i | ||||
\(475\) | 0.272258 | + | 0.314202i | 0.0124920 | + | 0.0144166i | ||||
\(476\) | 1.47909 | − | 0.0225437i | 0.0677941 | − | 0.00103329i | ||||
\(477\) | 1.04108 | + | 0.271270i | 0.0476678 | + | 0.0124206i | ||||
\(478\) | 19.9809 | + | 7.27956i | 0.913907 | + | 0.332959i | ||||
\(479\) | 21.0854 | + | 13.5508i | 0.963416 | + | 0.619150i | 0.924941 | − | 0.380110i | \(-0.124114\pi\) |
0.0384745 | + | 0.999260i | \(0.487750\pi\) | |||||||
\(480\) | −1.77614 | − | 8.93385i | −0.0810693 | − | 0.407772i | ||||
\(481\) | −5.31809 | + | 18.1117i | −0.242484 | + | 0.825824i | ||||
\(482\) | 6.53434 | − | 31.1799i | 0.297631 | − | 1.42021i | ||||
\(483\) | −2.90028 | − | 0.509894i | −0.131967 | − | 0.0232010i | ||||
\(484\) | 19.9611 | + | 8.75080i | 0.907325 | + | 0.397764i | ||||
\(485\) | 11.9130 | + | 3.49798i | 0.540943 | + | 0.158835i | ||||
\(486\) | 17.8182 | + | 12.9813i | 0.808248 | + | 0.588842i | ||||
\(487\) | −21.4495 | − | 13.7848i | −0.971971 | − | 0.624648i | −0.0446849 | − | 0.999001i | \(-0.514228\pi\) |
−0.927286 | + | 0.374353i | \(0.877865\pi\) | |||||||
\(488\) | −16.8114 | + | 17.5982i | −0.761017 | + | 0.796632i | ||||
\(489\) | −16.6859 | − | 12.0958i | −0.754564 | − | 0.546990i | ||||
\(490\) | −8.81642 | + | 1.98837i | −0.398285 | + | 0.0898256i | ||||
\(491\) | 7.49428 | + | 8.64886i | 0.338212 | + | 0.390318i | 0.899223 | − | 0.437491i | \(-0.144133\pi\) |
−0.561011 | + | 0.827809i | \(0.689587\pi\) | |||||||
\(492\) | 4.39405 | − | 0.449712i | 0.198099 | − | 0.0202746i | ||||
\(493\) | −3.08158 | + | 6.74772i | −0.138787 | + | 0.303902i | ||||
\(494\) | −0.0266754 | − | 0.336875i | −0.00120018 | − | 0.0151567i | ||||
\(495\) | −0.459414 | + | 0.765554i | −0.0206491 | + | 0.0344091i | ||||
\(496\) | −0.232903 | + | 0.0761697i | −0.0104577 | + | 0.00342012i | ||||
\(497\) | 0.420644 | + | 2.92564i | 0.0188685 | + | 0.131233i | ||||
\(498\) | −5.35803 | + | 6.47837i | −0.240099 | + | 0.290302i | ||||
\(499\) | −22.4491 | + | 10.2522i | −1.00496 | + | 0.458950i | −0.848762 | − | 0.528776i | \(-0.822651\pi\) |
−0.156198 | + | 0.987726i | \(0.549924\pi\) | |||||||
\(500\) | 2.67333 | + | 16.7744i | 0.119555 | + | 0.750176i | ||||
\(501\) | 12.7152 | − | 2.97114i | 0.568072 | − | 0.132741i | ||||
\(502\) | 6.66989 | − | 6.77232i | 0.297692 | − | 0.302263i | ||||
\(503\) | −25.4556 | + | 29.3773i | −1.13501 | + | 1.30987i | −0.190387 | + | 0.981709i | \(0.560974\pi\) |
−0.944622 | + | 0.328161i | \(0.893571\pi\) | |||||||
\(504\) | 0.481138 | − | 2.96937i | 0.0214316 | − | 0.132266i | ||||
\(505\) | 4.09957i | 0.182428i | ||||||||
\(506\) | −1.93838 | − | 0.978199i | −0.0861713 | − | 0.0434862i | ||||
\(507\) | 11.8578 | − | 4.63129i | 0.526624 | − | 0.205683i | ||||
\(508\) | 3.33953 | + | 2.80576i | 0.148168 | + | 0.124486i | ||||
\(509\) | 23.5211 | − | 27.1448i | 1.04255 | − | 1.20317i | 0.0638367 | − | 0.997960i | \(-0.479666\pi\) |
0.978718 | − | 0.205212i | \(-0.0657882\pi\) | |||||||
\(510\) | 1.87386 | − | 4.36587i | 0.0829760 | − | 0.193324i | ||||
\(511\) | −0.312325 | − | 0.0449055i | −0.0138164 | − | 0.00198650i | ||||
\(512\) | 6.31367 | + | 21.7287i | 0.279027 | + | 0.960283i | ||||
\(513\) | −0.522179 | − | 0.0132392i | −0.0230548 | − | 0.000584524i | ||||
\(514\) | −6.46851 | + | 3.59633i | −0.285314 | + | 0.158627i | ||||
\(515\) | −1.32155 | − | 9.19162i | −0.0582347 | − | 0.405031i | ||||
\(516\) | −14.9189 | + | 29.4276i | −0.656769 | + | 1.29548i | ||||
\(517\) | 2.90236 | − | 0.852210i | 0.127646 | − | 0.0374802i | ||||
\(518\) | −0.314275 | − | 3.96887i | −0.0138084 | − | 0.174382i | ||||
\(519\) | 1.70551 | − | 30.3968i | 0.0748635 | − | 1.33427i | ||||
\(520\) | 2.86926 | − | 5.55277i | 0.125825 | − | 0.243505i | ||||
\(521\) | 9.99111 | + | 11.5304i | 0.437719 | + | 0.505154i | 0.931153 | − | 0.364629i | \(-0.118804\pi\) |
−0.493434 | + | 0.869783i | \(0.664259\pi\) | |||||||
\(522\) | 12.4134 | + | 8.57064i | 0.543320 | + | 0.375127i | ||||
\(523\) | 11.4379 | − | 7.35072i | 0.500146 | − | 0.321425i | −0.266128 | − | 0.963938i | \(-0.585745\pi\) |
0.766275 | + | 0.642513i | \(0.222108\pi\) | |||||||
\(524\) | 9.56397 | − | 15.3927i | 0.417804 | − | 0.672431i | ||||
\(525\) | −0.501646 | + | 2.48941i | −0.0218936 | + | 0.108647i | ||||
\(526\) | −18.1926 | + | 13.8364i | −0.793237 | + | 0.603296i | ||||
\(527\) | −0.122635 | − | 0.0360088i | −0.00534205 | − | 0.00156857i | ||||
\(528\) | 0.972631 | − | 1.99327i | 0.0423284 | − | 0.0867459i | ||||
\(529\) | −19.9420 | − | 11.4594i | −0.867043 | − | 0.498234i | ||||
\(530\) | −0.461455 | − | 0.0967066i | −0.0200443 | − | 0.00420067i | ||||
\(531\) | 14.9902 | − | 7.41009i | 0.650520 | − | 0.321570i | ||||
\(532\) | 0.0305930 | + | 0.0643745i | 0.00132637 | + | 0.00279099i | ||||
\(533\) | 2.54975 | + | 1.63862i | 0.110442 | + | 0.0709767i | ||||
\(534\) | 0.672910 | + | 29.2891i | 0.0291197 | + | 1.26746i | ||||
\(535\) | −6.08510 | + | 3.91065i | −0.263082 | + | 0.169072i | ||||
\(536\) | −2.09834 | + | 10.8324i | −0.0906344 | + | 0.467890i | ||||
\(537\) | −22.6473 | − | 11.9188i | −0.977305 | − | 0.514334i | ||||
\(538\) | −1.96469 | + | 30.7625i | −0.0847038 | + | 1.32627i | ||||
\(539\) | −2.00179 | − | 0.914189i | −0.0862234 | − | 0.0393769i | ||||
\(540\) | −8.07433 | − | 5.30514i | −0.347464 | − | 0.228297i | ||||
\(541\) | −11.4927 | − | 39.1406i | −0.494111 | − | 1.68279i | −0.708233 | − | 0.705979i | \(-0.750507\pi\) |
0.214122 | − | 0.976807i | \(-0.431311\pi\) | |||||||
\(542\) | 16.9754 | − | 23.0403i | 0.729155 | − | 0.989668i | ||||
\(543\) | 3.94930 | + | 6.97585i | 0.169481 | + | 0.299362i | ||||
\(544\) | −3.70026 | + | 11.2072i | −0.158647 | + | 0.480506i | ||||
\(545\) | 0.599935 | − | 0.273981i | 0.0256984 | − | 0.0117361i | ||||
\(546\) | 1.52850 | − | 1.38718i | 0.0654137 | − | 0.0593660i | ||||
\(547\) | −5.70053 | − | 0.819613i | −0.243737 | − | 0.0350441i | 0.0193634 | − | 0.999813i | \(-0.493836\pi\) |
−0.263101 | + | 0.964768i | \(0.584745\pi\) | |||||||
\(548\) | −13.8060 | − | 20.7794i | −0.589765 | − | 0.887652i | ||||
\(549\) | 0.792390 | + | 25.8018i | 0.0338184 | + | 1.10119i | ||||
\(550\) | −0.884785 | + | 1.65013i | −0.0377274 | + | 0.0703619i | ||||
\(551\) | −0.357419 | −0.0152266 | ||||||||
\(552\) | 11.4320 | − | 20.5258i | 0.486578 | − | 0.873637i | ||||
\(553\) | −0.121270 | −0.00515692 | ||||||||
\(554\) | −11.1079 | + | 20.7163i | −0.471928 | + | 0.880151i | ||||
\(555\) | −12.0479 | − | 4.28414i | −0.511404 | − | 0.181852i | ||||
\(556\) | −15.4911 | + | 10.2924i | −0.656968 | + | 0.436496i | ||||
\(557\) | 28.2719 | + | 4.06489i | 1.19792 | + | 0.172235i | 0.712262 | − | 0.701914i | \(-0.247671\pi\) |
0.485658 | + | 0.874149i | \(0.338580\pi\) | |||||||
\(558\) | −0.115729 | + | 0.232719i | −0.00489920 | + | 0.00985178i | ||||
\(559\) | −20.5937 | + | 9.40484i | −0.871022 | + | 0.397782i | ||||
\(560\) | −0.147756 | + | 1.30997i | −0.00624383 | + | 0.0553562i | ||||
\(561\) | 1.00671 | − | 0.569937i | 0.0425033 | − | 0.0240628i | ||||
\(562\) | −21.4211 | + | 29.0744i | −0.903594 | + | 1.22643i | ||||
\(563\) | −5.25898 | − | 17.9104i | −0.221640 | − | 0.754835i | −0.992966 | − | 0.118396i | \(-0.962225\pi\) |
0.771327 | − | 0.636439i | \(-0.219593\pi\) | |||||||
\(564\) | 7.93277 | + | 31.7565i | 0.334030 | + | 1.33719i | ||||
\(565\) | −0.228897 | − | 0.104534i | −0.00962978 | − | 0.00439777i | ||||
\(566\) | 2.81939 | − | 44.1452i | 0.118508 | − | 1.85556i | ||||
\(567\) | −1.88640 | − | 2.57317i | −0.0792215 | − | 0.108063i | ||||
\(568\) | −23.1518 | − | 4.48471i | −0.971430 | − | 0.188174i | ||||
\(569\) | −3.79661 | + | 2.43993i | −0.159162 | + | 0.102287i | −0.617797 | − | 0.786337i | \(-0.711975\pi\) |
0.458635 | + | 0.888625i | \(0.348338\pi\) | |||||||
\(570\) | 0.228854 | − | 0.00525786i | 0.00958564 | − | 0.000220228i | ||||
\(571\) | −9.59828 | − | 6.16844i | −0.401675 | − | 0.258141i | 0.324170 | − | 0.945999i | \(-0.394915\pi\) |
−0.725846 | + | 0.687858i | \(0.758551\pi\) | |||||||
\(572\) | 1.37458 | − | 0.653246i | 0.0574740 | − | 0.0273136i | ||||
\(573\) | 14.1077 | − | 1.22693i | 0.589358 | − | 0.0512556i | ||||
\(574\) | −0.625668 | − | 0.131120i | −0.0261149 | − | 0.00547286i | ||||
\(575\) | −10.3059 | + | 16.9467i | −0.429785 | + | 0.706726i | ||||
\(576\) | 21.1218 | + | 11.3960i | 0.880075 | + | 0.474835i | ||||
\(577\) | −18.1792 | − | 5.33791i | −0.756812 | − | 0.222220i | −0.119508 | − | 0.992833i | \(-0.538132\pi\) |
−0.637303 | + | 0.770613i | \(0.719950\pi\) | |||||||
\(578\) | 14.2361 | − | 10.8273i | 0.592144 | − | 0.450355i | ||||
\(579\) | 5.46802 | + | 1.10187i | 0.227243 | + | 0.0457922i | ||||
\(580\) | −5.61514 | − | 3.48888i | −0.233156 | − | 0.144868i | ||||
\(581\) | 1.02357 | − | 0.657809i | 0.0424649 | − | 0.0272905i | ||||
\(582\) | −27.1074 | + | 18.3141i | −1.12364 | + | 0.759143i | ||||
\(583\) | −0.0751796 | − | 0.0867618i | −0.00311362 | − | 0.00359331i | ||||
\(584\) | 1.15569 | − | 2.23656i | 0.0478227 | − | 0.0925494i | ||||
\(585\) | −2.06210 | − | 6.30055i | −0.0852573 | − | 0.260496i | ||||
\(586\) | 2.50155 | + | 31.5913i | 0.103338 | + | 1.30502i | ||||
\(587\) | 13.5980 | − | 3.99274i | 0.561251 | − | 0.164798i | 0.0112118 | − | 0.999937i | \(-0.496431\pi\) |
0.550039 | + | 0.835139i | \(0.314613\pi\) | |||||||
\(588\) | 10.7679 | − | 21.2398i | 0.444062 | − | 0.875913i | ||||
\(589\) | −0.000876412 | − | 0.00609558i | −3.61119e−5 | − | 0.000251164i | ||||
\(590\) | −6.40482 | + | 3.56092i | −0.263682 | + | 0.146601i | ||||
\(591\) | −18.8911 | − | 18.3199i | −0.777076 | − | 0.753578i | ||||
\(592\) | 30.7366 | + | 8.01614i | 1.26327 | + | 0.329461i | ||||
\(593\) | −4.13142 | − | 0.594009i | −0.169657 | − | 0.0243930i | 0.0569627 | − | 0.998376i | \(-0.481858\pi\) |
−0.226620 | + | 0.973983i | \(0.572767\pi\) | |||||||
\(594\) | −0.782895 | − | 2.21836i | −0.0321226 | − | 0.0910202i | ||||
\(595\) | −0.450283 | + | 0.519654i | −0.0184598 | + | 0.0213037i | ||||
\(596\) | −24.4172 | + | 29.0623i | −1.00017 | + | 1.19044i | ||||
\(597\) | 16.6981 | + | 42.7532i | 0.683407 | + | 1.74977i | ||||
\(598\) | 14.9146 | − | 6.12093i | 0.609904 | − | 0.250304i | ||||
\(599\) | 25.0261i | 1.02254i | 0.859421 | + | 0.511269i | \(0.170824\pi\) | ||||
−0.859421 | + | 0.511269i | \(0.829176\pi\) | |||||||
\(600\) | −17.4506 | − | 10.2948i | −0.712418 | − | 0.420282i | ||||
\(601\) | −17.4304 | + | 20.1158i | −0.711002 | + | 0.820541i | −0.990195 | − | 0.139695i | \(-0.955388\pi\) |
0.279192 | + | 0.960235i | \(0.409933\pi\) | |||||||
\(602\) | 3.35063 | − | 3.40208i | 0.136561 | − | 0.138659i | ||||
\(603\) | 6.62641 | + | 9.64643i | 0.269848 | + | 0.392833i | ||||
\(604\) | −17.5666 | + | 2.79957i | −0.714774 | + | 0.113913i | ||||
\(605\) | −9.21539 | + | 4.20853i | −0.374659 | + | 0.171101i | ||||
\(606\) | −8.32371 | − | 6.88425i | −0.338128 | − | 0.279654i | ||||
\(607\) | 4.42198 | + | 30.7555i | 0.179483 | + | 1.24833i | 0.857964 | + | 0.513711i | \(0.171729\pi\) |
−0.678481 | + | 0.734618i | \(0.737361\pi\) | |||||||
\(608\) | −0.565254 | + | 0.0621443i | −0.0229241 | + | 0.00252028i | ||||
\(609\) | −1.33500 | − | 1.72743i | −0.0540967 | − | 0.0699988i | ||||
\(610\) | −0.893004 | − | 11.2775i | −0.0361567 | − | 0.456611i | ||||
\(611\) | −9.33043 | + | 20.4308i | −0.377469 | + | 0.826542i | ||||
\(612\) | 5.71771 | + | 11.1361i | 0.231125 | + | 0.450151i | ||||
\(613\) | −21.1251 | − | 24.3797i | −0.853235 | − | 0.984685i | 0.146755 | − | 0.989173i | \(-0.453117\pi\) |
−0.999990 | + | 0.00448754i | \(0.998572\pi\) | |||||||
\(614\) | 11.8203 | − | 2.66584i | 0.477028 | − | 0.107584i | ||||
\(615\) | −1.20502 | + | 1.66231i | −0.0485913 | + | 0.0670310i | ||||
\(616\) | −0.221728 | + | 0.232104i | −0.00893367 | + | 0.00935176i | ||||
\(617\) | 17.6640 | + | 11.3519i | 0.711125 | + | 0.457012i | 0.845539 | − | 0.533913i | \(-0.179279\pi\) |
−0.134415 | + | 0.990925i | \(0.542915\pi\) | |||||||
\(618\) | 20.8818 | + | 12.7519i | 0.839989 | + | 0.512956i | ||||
\(619\) | 22.2986 | + | 6.54746i | 0.896256 | + | 0.263165i | 0.697245 | − | 0.716833i | \(-0.254409\pi\) |
0.199011 | + | 0.979997i | \(0.436227\pi\) | |||||||
\(620\) | 0.0457321 | − | 0.104318i | 0.00183665 | − | 0.00418951i | ||||
\(621\) | −7.00808 | − | 23.9142i | −0.281225 | − | 0.959642i | ||||
\(622\) | 5.90611 | − | 28.1822i | 0.236814 | − | 1.13000i | ||||
\(623\) | 1.19456 | − | 4.06829i | 0.0478590 | − | 0.162993i | ||||
\(624\) | 6.45605 | + | 15.1503i | 0.258449 | + | 0.606497i | ||||
\(625\) | 10.7539 | + | 6.91109i | 0.430154 | + | 0.276443i | ||||
\(626\) | −34.8028 | − | 12.6795i | −1.39100 | − | 0.506776i | ||||
\(627\) | 0.0451291 | + | 0.0327144i | 0.00180228 | + | 0.00130649i | ||||
\(628\) | 0.00643799 | + | 0.422397i | 0.000256904 | + | 0.0168555i | ||||
\(629\) | 10.8499 | + | 12.5214i | 0.432612 | + | 0.499261i | ||||
\(630\) | 0.880203 | + | 1.08642i | 0.0350681 | + | 0.0432842i | ||||
\(631\) | −30.4525 | − | 13.9072i | −1.21229 | − | 0.553636i | −0.296402 | − | 0.955063i | \(-0.595787\pi\) |
−0.915891 | + | 0.401427i | \(0.868514\pi\) | |||||||
\(632\) | 0.317313 | − | 0.914036i | 0.0126220 | − | 0.0363584i | ||||
\(633\) | −13.1556 | − | 17.0227i | −0.522887 | − | 0.676592i | ||||
\(634\) | 9.42520 | − | 12.7926i | 0.374323 | − | 0.508061i | ||||
\(635\) | −2.00681 | + | 0.288536i | −0.0796379 | + | 0.0114502i | ||||
\(636\) | 0.971257 | − | 0.774537i | 0.0385128 | − | 0.0307124i | ||||
\(637\) | 14.8638 | − | 6.78806i | 0.588925 | − | 0.268953i | ||||
\(638\) | −0.574002 | − | 1.50386i | −0.0227249 | − | 0.0595383i | ||||
\(639\) | −20.6170 | + | 14.1624i | −0.815596 | + | 0.560257i | ||||
\(640\) | −9.48688 | − | 4.54131i | −0.375002 | − | 0.179511i | ||||
\(641\) | 15.5727 | − | 17.9718i | 0.615083 | − | 0.709843i | −0.359683 | − | 0.933075i | \(-0.617115\pi\) |
0.974766 | + | 0.223231i | \(0.0716605\pi\) | |||||||
\(642\) | 2.27834 | − | 18.9221i | 0.0899187 | − | 0.746797i | ||||
\(643\) | −38.2407 | −1.50807 | −0.754033 | − | 0.656837i | \(-0.771894\pi\) | ||||
−0.754033 | + | 0.656837i | \(0.771894\pi\) | |||||||
\(644\) | −2.47855 | + | 2.32786i | −0.0976684 | + | 0.0917306i | ||||
\(645\) | −5.57937 | − | 14.2853i | −0.219688 | − | 0.562481i | ||||
\(646\) | −0.261402 | − | 0.140161i | −0.0102847 | − | 0.00551457i | ||||
\(647\) | −0.135678 | − | 0.117566i | −0.00533407 | − | 0.00462200i | 0.652190 | − | 0.758056i | \(-0.273851\pi\) |
−0.657524 | + | 0.753434i | \(0.728396\pi\) | |||||||
\(648\) | 24.3304 | − | 7.48531i | 0.955790 | − | 0.294051i | ||||
\(649\) | −1.76620 | − | 0.253941i | −0.0693294 | − | 0.00996807i | ||||
\(650\) | −4.95766 | − | 12.9888i | −0.194455 | − | 0.509464i | ||||
\(651\) | 0.0261867 | − | 0.0270033i | 0.00102634 | − | 0.00105834i | ||||
\(652\) | −22.7284 | + | 7.05162i | −0.890111 | + | 0.276163i | ||||
\(653\) | −0.321229 | − | 2.23420i | −0.0125707 | − | 0.0874309i | 0.982570 | − | 0.185891i | \(-0.0595173\pi\) |
−0.995141 | + | 0.0984605i | \(0.968608\pi\) | |||||||
\(654\) | −0.451161 | + | 1.67819i | −0.0176418 | + | 0.0656224i | ||||
\(655\) | 2.37318 | + | 8.08232i | 0.0927279 | + | 0.315802i | ||||
\(656\) | 2.62539 | − | 4.37270i | 0.102504 | − | 0.170725i | ||||
\(657\) | −0.830576 | − | 2.53775i | −0.0324039 | − | 0.0990070i | ||||
\(658\) | 0.301935 | − | 4.72762i | 0.0117707 | − | 0.184302i | ||||
\(659\) | 18.0165 | − | 15.6114i | 0.701822 | − | 0.608132i | −0.229077 | − | 0.973408i | \(-0.573571\pi\) |
0.930899 | + | 0.365276i | \(0.119025\pi\) | |||||||
\(660\) | 0.389654 | + | 0.954471i | 0.0151672 | + | 0.0371527i | ||||
\(661\) | 37.6995 | − | 24.2280i | 1.46634 | − | 0.942361i | 0.468064 | − | 0.883694i | \(-0.344952\pi\) |
0.998278 | − | 0.0586663i | \(-0.0186848\pi\) | |||||||
\(662\) | −42.2529 | − | 15.3938i | −1.64221 | − | 0.598297i | ||||
\(663\) | −1.69685 | + | 8.42058i | −0.0659001 | + | 0.327028i | ||||
\(664\) | 2.27978 | + | 9.43608i | 0.0884728 | + | 0.366191i | ||||
\(665\) | −0.0317881 | − | 0.00933383i | −0.00123269 | − | 0.000361950i | ||||
\(666\) | 28.9300 | − | 17.2677i | 1.12102 | − | 0.669109i | ||||
\(667\) | −5.20852 | − | 16.2366i | −0.201675 | − | 0.628684i | ||||
\(668\) | 6.05376 | − | 13.8090i | 0.234227 | − | 0.534287i | ||||
\(669\) | 16.7864 | − | 1.45989i | 0.649001 | − | 0.0564428i | ||||
\(670\) | −3.10477 | − | 4.08227i | −0.119948 | − | 0.157712i | ||||
\(671\) | 1.48924 | − | 2.31731i | 0.0574916 | − | 0.0894587i | ||||
\(672\) | −2.41162 | − | 2.49978i | −0.0930304 | − | 0.0964312i | ||||
\(673\) | 13.1136 | − | 8.42757i | 0.505490 | − | 0.324859i | −0.262919 | − | 0.964818i | \(-0.584685\pi\) |
0.768409 | + | 0.639959i | \(0.221049\pi\) | |||||||
\(674\) | −26.4661 | + | 5.96893i | −1.01944 | + | 0.229915i | ||||
\(675\) | −20.7663 | + | 5.52987i | −0.799295 | + | 0.212845i | ||||
\(676\) | 3.92591 | − | 14.1655i | 0.150996 | − | 0.544829i | ||||
\(677\) | −3.89904 | − | 1.78063i | −0.149852 | − | 0.0684352i | 0.339077 | − | 0.940759i | \(-0.389885\pi\) |
−0.488929 | + | 0.872323i | \(0.662612\pi\) | |||||||
\(678\) | 0.596624 | − | 0.289211i | 0.0229132 | − | 0.0111071i | ||||
\(679\) | 4.54284 | − | 1.33390i | 0.174338 | − | 0.0511903i | ||||
\(680\) | −2.73854 | − | 4.75359i | −0.105018 | − | 0.182292i | ||||
\(681\) | 35.0840 | − | 19.8624i | 1.34442 | − | 0.761130i | ||||
\(682\) | 0.0242399 | − | 0.0134768i | 0.000928196 | − | 0.000516054i | ||||
\(683\) | −10.3763 | − | 22.7209i | −0.397037 | − | 0.869390i | −0.997562 | − | 0.0697842i | \(-0.977769\pi\) |
0.600525 | − | 0.799606i | \(-0.294958\pi\) | |||||||
\(684\) | −0.373631 | + | 0.473492i | −0.0142861 | + | 0.0181044i | ||||
\(685\) | 11.4783 | + | 1.65033i | 0.438564 | + | 0.0630560i | ||||
\(686\) | −4.88093 | + | 4.95589i | −0.186355 | + | 0.189217i | ||||
\(687\) | 9.01207 | − | 25.3438i | 0.343832 | − | 0.966925i | ||||
\(688\) | 16.8750 | + | 34.1562i | 0.643354 | + | 1.30219i | ||||
\(689\) | 0.852434 | 0.0324752 | ||||||||
\(690\) | 3.57385 | + | 10.3196i | 0.136054 | + | 0.392861i | ||||
\(691\) | − | 26.7672i | − | 1.01827i | −0.860686 | − | 0.509135i | \(-0.829965\pi\) | ||
0.860686 | − | 0.509135i | \(-0.170035\pi\) | |||||||
\(692\) | −26.9157 | − | 22.6137i | −1.02318 | − | 0.859644i | ||||
\(693\) | 0.0104509 | + | 0.340303i | 0.000396998 | + | 0.0129270i | ||||
\(694\) | −12.5338 | − | 12.3442i | −0.475776 | − | 0.468580i | ||||
\(695\) | 1.23033 | − | 8.55711i | 0.0466690 | − | 0.324590i | ||||
\(696\) | 16.5131 | − | 5.54218i | 0.625927 | − | 0.210076i | ||||
\(697\) | 2.41988 | − | 1.10512i | 0.0916594 | − | 0.0418594i | ||||
\(698\) | 8.15080 | − | 4.53164i | 0.308512 | − | 0.171525i | ||||
\(699\) | 34.1950 | − | 19.3591i | 1.29338 | − | 0.732230i | ||||
\(700\) | 1.95380 | + | 2.18657i | 0.0738467 | + | 0.0826445i | ||||
\(701\) | 12.3827 | + | 42.1718i | 0.467690 | + | 1.59281i | 0.768980 | + | 0.639273i | \(0.220765\pi\) |
−0.301290 | + | 0.953533i | \(0.597417\pi\) | |||||||
\(702\) | 16.2554 | + | 6.39343i | 0.613520 | + | 0.241304i | ||||
\(703\) | −0.331622 | + | 0.726152i | −0.0125074 | + | 0.0273873i | ||||
\(704\) | −1.16925 | − | 2.27853i | −0.0440678 | − | 0.0858753i | ||||
\(705\) | −13.4641 | − | 7.08585i | −0.507087 | − | 0.266869i | ||||
\(706\) | −34.9347 | + | 7.87886i | −1.31479 | + | 0.296525i | ||||
\(707\) | 0.845184 | + | 1.31513i | 0.0317864 | + | 0.0494606i | ||||
\(708\) | 3.52533 | − | 18.9840i | 0.132490 | − | 0.713463i | ||||
\(709\) | −32.5114 | − | 20.8938i | −1.22099 | − | 0.784683i | −0.238526 | − | 0.971136i | \(-0.576664\pi\) |
−0.982464 | + | 0.186453i | \(0.940301\pi\) | |||||||
\(710\) | 8.72492 | − | 6.63573i | 0.327440 | − | 0.249035i | ||||
\(711\) | −0.454769 | − | 0.919974i | −0.0170552 | − | 0.0345017i | ||||
\(712\) | 27.5379 | + | 19.6487i | 1.03203 | + | 0.736365i | ||||
\(713\) | 0.264134 | − | 0.128641i | 0.00989191 | − | 0.00481766i | ||||
\(714\) | −0.298956 | − | 1.78689i | −0.0111882 | − | 0.0668725i | ||||
\(715\) | −0.199304 | + | 0.678765i | −0.00745353 | + | 0.0253844i | ||||
\(716\) | −26.6906 | + | 12.6843i | −0.997475 | + | 0.474034i | ||||
\(717\) | 5.14497 | − | 25.5318i | 0.192142 | − | 0.953504i | ||||
\(718\) | 5.38118 | − | 14.7703i | 0.200824 | − | 0.551222i | ||||
\(719\) | 12.3642 | + | 19.2391i | 0.461108 | + | 0.717498i | 0.991479 | − | 0.130268i | \(-0.0415838\pi\) |
−0.530371 | + | 0.847766i | \(0.677947\pi\) | |||||||
\(720\) | −10.4917 | + | 3.79156i | −0.391004 | + | 0.141303i | ||||
\(721\) | −2.31894 | − | 2.67619i | −0.0863617 | − | 0.0996667i | ||||
\(722\) | −1.71169 | + | 26.8012i | −0.0637025 | + | 0.997436i | ||||
\(723\) | −38.9558 | − | 2.18573i | −1.44878 | − | 0.0812883i | ||||
\(724\) | 9.18110 | + | 1.17753i | 0.341213 | + | 0.0437625i | ||||
\(725\) | −14.1090 | + | 4.14278i | −0.523996 | + | 0.153859i | ||||
\(726\) | 6.93013 | − | 25.7781i | 0.257201 | − | 0.956714i | ||||
\(727\) | −14.1504 | + | 2.03451i | −0.524808 | + | 0.0754559i | −0.399627 | − | 0.916678i | \(-0.630860\pi\) |
−0.125181 | + | 0.992134i | \(0.539951\pi\) | |||||||
\(728\) | −0.224331 | − | 2.37286i | −0.00831427 | − | 0.0879440i | ||||
\(729\) | 12.4464 | − | 23.9601i | 0.460977 | − | 0.887412i | ||||
\(730\) | 0.417286 | + | 1.09327i | 0.0154444 | + | 0.0404637i | ||||
\(731\) | −2.82798 | + | 19.6690i | −0.104597 | + | 0.727486i | ||||
\(732\) | 24.3972 | + | 17.1247i | 0.901748 | + | 0.632947i | ||||
\(733\) | −23.7641 | + | 27.4252i | −0.877748 | + | 1.01297i | 0.122043 | + | 0.992525i | \(0.461055\pi\) |
−0.999791 | + | 0.0204499i | \(0.993490\pi\) | |||||||
\(734\) | −16.6987 | + | 31.1433i | −0.616362 | + | 1.14952i | ||||
\(735\) | 4.02698 | + | 10.3106i | 0.148538 | + | 0.380311i | ||||
\(736\) | −11.0603 | − | 24.7724i | −0.407686 | − | 0.913122i | ||||
\(737\) | − | 1.24883i | − | 0.0460013i | ||||||
\(738\) | −1.35159 | − | 5.23813i | −0.0497527 | − | 0.192818i | ||||
\(739\) | −24.4370 | − | 21.1748i | −0.898929 | − | 0.778927i | 0.0769962 | − | 0.997031i | \(-0.475467\pi\) |
−0.975925 | + | 0.218105i | \(0.930013\pi\) | |||||||
\(740\) | −12.2981 | + | 8.17096i | −0.452086 | + | 0.300370i | ||||
\(741\) | −0.403021 | + | 0.0941734i | −0.0148053 | + | 0.00345955i | ||||
\(742\) | −0.167971 | + | 0.0641122i | −0.00616642 | + | 0.00235363i | ||||
\(743\) | −14.9039 | − | 32.6350i | −0.546772 | − | 1.19726i | −0.958273 | − | 0.285855i | \(-0.907723\pi\) |
0.411501 | − | 0.911409i | \(-0.365005\pi\) | |||||||
\(744\) | 0.135010 | + | 0.268031i | 0.00494970 | + | 0.00982651i | ||||
\(745\) | −2.51099 | − | 17.4643i | −0.0919956 | − | 0.639844i | ||||
\(746\) | 4.42216 | − | 6.00211i | 0.161907 | − | 0.219753i | ||||
\(747\) | 8.82871 | + | 5.29816i | 0.323025 | + | 0.193850i | ||||
\(748\) | 0.169933 | − | 1.32496i | 0.00621337 | − | 0.0484452i | ||||
\(749\) | −1.14585 | + | 2.50906i | −0.0418684 | + | 0.0916790i | ||||
\(750\) | 19.8211 | − | 6.31800i | 0.723764 | − | 0.230701i | ||||
\(751\) | 29.5968 | − | 25.6458i | 1.08000 | − | 0.935829i | 0.0818547 | − | 0.996644i | \(-0.473916\pi\) |
0.998149 | + | 0.0608157i | \(0.0193702\pi\) | |||||||
\(752\) | 34.8430 | + | 14.6460i | 1.27059 | + | 0.534083i | ||||
\(753\) | −9.42560 | − | 6.83269i | −0.343488 | − | 0.248997i | ||||
\(754\) | 11.2302 | + | 4.09143i | 0.408978 | + | 0.149001i | ||||
\(755\) | 4.47026 | − | 6.95587i | 0.162690 | − | 0.253150i | ||||
\(756\) | −3.68396 | − | 0.0372384i | −0.133984 | − | 0.00135435i | ||||
\(757\) | 41.3624 | + | 12.1451i | 1.50334 | + | 0.441421i | 0.926771 | − | 0.375627i | \(-0.122573\pi\) |
0.576570 | + | 0.817048i | \(0.304391\pi\) | |||||||
\(758\) | −49.5634 | − | 10.3869i | −1.80022 | − | 0.377271i | ||||
\(759\) | −0.828484 | + | 2.52683i | −0.0300720 | + | 0.0917181i | ||||
\(760\) | 0.153527 | − | 0.215171i | 0.00556902 | − | 0.00780507i | ||||
\(761\) | 8.11093 | − | 27.6233i | 0.294021 | − | 1.00134i | −0.671497 | − | 0.741007i | \(-0.734348\pi\) |
0.965518 | − | 0.260337i | \(-0.0838335\pi\) | |||||||
\(762\) | 2.78413 | − | 4.55914i | 0.100858 | − | 0.165160i | ||||
\(763\) | 0.135973 | − | 0.211578i | 0.00492255 | − | 0.00765963i | ||||
\(764\) | 8.62971 | − | 13.8890i | 0.312212 | − | 0.502487i | ||||
\(765\) | −5.63078 | − | 1.46719i | −0.203581 | − | 0.0530464i | ||||
\(766\) | −4.56841 | − | 20.2562i | −0.165063 | − | 0.731888i | ||||
\(767\) | 10.0132 | − | 8.67645i | 0.361554 | − | 0.313289i | ||||
\(768\) | 25.1516 | − | 11.6360i | 0.907580 | − | 0.419878i | ||||
\(769\) | 23.2590 | + | 10.6220i | 0.838741 | + | 0.383040i | 0.788003 | − | 0.615672i | \(-0.211115\pi\) |
0.0507386 | + | 0.998712i | \(0.483842\pi\) | |||||||
\(770\) | −0.0117779 | − | 0.148740i | −0.000424448 | − | 0.00536021i | ||||
\(771\) | 5.54282 | + | 7.17216i | 0.199620 | + | 0.258299i | ||||
\(772\) | 4.80282 | − | 4.29155i | 0.172857 | − | 0.154456i | ||||
\(773\) | 6.00471 | − | 0.863347i | 0.215974 | − | 0.0310524i | −0.0334782 | − | 0.999439i | \(-0.510658\pi\) |
0.249453 | + | 0.968387i | \(0.419749\pi\) | |||||||
\(774\) | 38.3739 | + | 12.6604i | 1.37932 | + | 0.455069i | ||||
\(775\) | −0.105249 | − | 0.230463i | −0.00378065 | − | 0.00827846i | ||||
\(776\) | −1.83286 | + | 37.7306i | −0.0657957 | + | 1.35445i | ||||
\(777\) | −4.74817 | + | 1.10950i | −0.170340 | + | 0.0398031i | ||||
\(778\) | −10.8507 | + | 11.0173i | −0.389016 | + | 0.394990i | ||||
\(779\) | 0.0968706 | + | 0.0839389i | 0.00347075 | + | 0.00300742i | ||||
\(780\) | −7.25081 | − | 2.45452i | −0.259621 | − | 0.0878859i | ||||
\(781\) | 2.66909 | 0.0955075 | ||||||||
\(782\) | 2.55785 | − | 13.9173i | 0.0914685 | − | 0.497683i | ||||
\(783\) | 8.09824 | − | 16.6055i | 0.289407 | − | 0.593431i | ||||
\(784\) | −12.1798 | − | 24.6527i | −0.434992 | − | 0.880453i | ||||
\(785\) | −0.148402 | − | 0.128591i | −0.00529670 | − | 0.00458961i | ||||
\(786\) | −20.3955 | − | 8.75387i | −0.727482 | − | 0.312240i | ||||
\(787\) | −5.75148 | + | 40.0024i | −0.205018 | + | 1.42593i | 0.584095 | + | 0.811685i | \(0.301450\pi\) |
−0.789113 | + | 0.614248i | \(0.789460\pi\) | |||||||
\(788\) | −30.0075 | + | 4.78227i | −1.06897 | + | 0.170361i | ||||
\(789\) | 20.0958 | + | 19.4881i | 0.715429 | + | 0.693795i | ||||
\(790\) | 0.218540 | + | 0.393075i | 0.00777530 | + | 0.0139850i | ||||
\(791\) | −0.0949809 | + | 0.0136562i | −0.00337713 | + | 0.000485558i | ||||
\(792\) | −2.59228 | − | 0.811660i | −0.0921126 | − | 0.0288411i | ||||
\(793\) | 5.76241 | + | 19.6250i | 0.204629 | + | 0.696903i | ||||
\(794\) | 0.355097 | + | 4.48440i | 0.0126019 | + | 0.159145i | ||||
\(795\) | −0.0323483 | + | 0.576535i | −0.00114727 | + | 0.0204476i | ||||
\(796\) | 51.0737 | + | 14.1548i | 1.81026 | + | 0.501704i | ||||
\(797\) | −6.04550 | + | 5.23846i | −0.214143 | + | 0.185556i | −0.755327 | − | 0.655349i | \(-0.772522\pi\) |
0.541184 | + | 0.840904i | \(0.317976\pi\) | |||||||
\(798\) | 0.0723319 | − | 0.0488683i | 0.00256052 | − | 0.00172992i | ||||
\(799\) | 10.6582 | + | 16.5845i | 0.377061 | + | 0.586719i | ||||
\(800\) | −21.5929 | + | 9.00487i | −0.763424 | + | 0.318370i | ||||
\(801\) | 35.3425 | − | 6.19422i | 1.24876 | − | 0.218862i | ||||
\(802\) | −32.5496 | + | 24.7556i | −1.14937 | + | 0.874151i | ||||
\(803\) | −0.0802759 | + | 0.273395i | −0.00283287 | + | 0.00964789i | ||||
\(804\) | 13.5023 | + | 0.551322i | 0.476191 | + | 0.0194436i | ||||
\(805\) | −0.0392236 | − | 1.58007i | −0.00138245 | − | 0.0556901i | ||||
\(806\) | −0.0422399 | + | 0.201556i | −0.00148784 | + | 0.00709951i | ||||
\(807\) | 37.6111 | − | 3.27098i | 1.32397 | − | 0.115144i | ||||
\(808\) | −12.1239 | + | 2.92918i | −0.426518 | + | 0.103048i | ||||
\(809\) | −24.1758 | + | 37.6183i | −0.849977 | + | 1.32259i | 0.0950078 | + | 0.995477i | \(0.469712\pi\) |
−0.944985 | + | 0.327114i | \(0.893924\pi\) | |||||||
\(810\) | −4.94099 | + | 10.7515i | −0.173609 | + | 0.377771i | ||||
\(811\) | −5.34983 | − | 8.32449i | −0.187858 | − | 0.292312i | 0.734531 | − | 0.678575i | \(-0.237402\pi\) |
−0.922389 | + | 0.386263i | \(0.873766\pi\) | |||||||
\(812\) | −2.52061 | + | 0.0384180i | −0.0884560 | + | 0.00134821i | ||||
\(813\) | −31.0172 | − | 16.3237i | −1.08782 | − | 0.572497i | ||||
\(814\) | −3.58789 | − | 0.229145i | −0.125756 | − | 0.00803154i | ||||
\(815\) | 4.59513 | − | 10.0619i | 0.160960 | − | 0.352454i | ||||
\(816\) | 14.2504 | + | 2.42224i | 0.498863 | + | 0.0847955i | ||||
\(817\) | −0.918659 | + | 0.269743i | −0.0321398 | + | 0.00943710i | ||||
\(818\) | 3.94135 | − | 5.34951i | 0.137806 | − | 0.187041i | ||||
\(819\) | −1.96047 | − | 1.59607i | −0.0685042 | − | 0.0557713i | ||||
\(820\) | 0.702509 | + | 2.26428i | 0.0245327 | + | 0.0790722i | ||||
\(821\) | −18.2061 | − | 39.8657i | −0.635396 | − | 1.39132i | −0.903774 | − | 0.428009i | \(-0.859215\pi\) |
0.268378 | − | 0.963314i | \(-0.413512\pi\) | |||||||
\(822\) | −22.6260 | + | 20.5341i | −0.789171 | + | 0.716210i | ||||
\(823\) | −3.71550 | + | 25.8419i | −0.129514 | + | 0.900792i | 0.816657 | + | 0.577124i | \(0.195825\pi\) |
−0.946171 | + | 0.323668i | \(0.895084\pi\) | |||||||
\(824\) | 26.2387 | − | 10.4758i | 0.914070 | − | 0.364942i | ||||
\(825\) | 2.16064 | + | 0.768309i | 0.0752239 | + | 0.0267491i | ||||
\(826\) | −1.32052 | + | 2.46278i | −0.0459467 | + | 0.0856912i | ||||
\(827\) | 15.2004i | 0.528570i | 0.964445 | + | 0.264285i | \(0.0851360\pi\) | ||||
−0.964445 | + | 0.264285i | \(0.914864\pi\) | |||||||
\(828\) | −26.9543 | − | 10.0731i | −0.936726 | − | 0.350063i | ||||
\(829\) | − | 19.3885i | − | 0.673390i | −0.941614 | − | 0.336695i | \(-0.890691\pi\) | ||
0.941614 | − | 0.336695i | \(-0.109309\pi\) | |||||||
\(830\) | −3.97674 | − | 2.13229i | −0.138035 | − | 0.0740128i | ||||
\(831\) | 27.1254 | + | 9.64560i | 0.940969 | + | 0.334602i | ||||
\(832\) | 18.4717 | + | 4.51795i | 0.640391 | + | 0.156632i | ||||
\(833\) | 2.04113 | − | 14.1964i | 0.0707210 | − | 0.491876i | ||||
\(834\) | 15.3082 | + | 16.8677i | 0.530081 | + | 0.584081i | ||||
\(835\) | 2.91144 | + | 6.37517i | 0.100755 | + | 0.220622i | ||||
\(836\) | 0.0614716 | − | 0.0190720i | 0.00212604 | − | 0.000659617i | ||||
\(837\) | 0.303054 | + | 0.0973932i | 0.0104751 | + | 0.00336640i | ||||
\(838\) | −34.8028 | − | 25.6416i | −1.20224 | − | 0.885773i | ||||
\(839\) | −0.239080 | + | 0.0702003i | −0.00825396 | + | 0.00242358i | −0.285857 | − | 0.958272i | \(-0.592278\pi\) |
0.277603 | + | 0.960696i | \(0.410460\pi\) | |||||||
\(840\) | 1.61337 | − | 0.0616786i | 0.0556666 | − | 0.00212811i | ||||
\(841\) | −6.79553 | + | 14.8801i | −0.234329 | + | 0.513108i | ||||
\(842\) | −1.07260 | + | 16.7945i | −0.0369644 | + | 0.578777i | ||||
\(843\) | 39.1404 | + | 20.5987i | 1.34807 | + | 0.709458i | ||||
\(844\) | −24.8391 | + | 0.378586i | −0.854996 | + | 0.0130315i | ||||
\(845\) | 3.69404 | + | 5.74804i | 0.127079 | + | 0.197739i | ||||
\(846\) | 36.9968 | − | 15.4383i | 1.27198 | − | 0.530780i | ||||
\(847\) | −2.08863 | + | 3.24997i | −0.0717662 | + | 0.111670i | ||||
\(848\) | −0.0437165 | − | 1.43379i | −0.00150123 | − | 0.0492365i | ||||
\(849\) | −53.9730 | + | 4.69396i | −1.85235 | + | 0.161096i | ||||
\(850\) | −11.9434 | − | 2.50296i | −0.409654 | − | 0.0858507i | ||||
\(851\) | −37.8198 | − | 4.48282i | −1.29644 | − | 0.153669i | ||||
\(852\) | −1.17832 | + | 28.8581i | −0.0403687 | + | 0.988664i | ||||
\(853\) | −14.1979 | + | 48.3537i | −0.486128 | + | 1.65560i | 0.242090 | + | 0.970254i | \(0.422167\pi\) |
−0.728218 | + | 0.685346i | \(0.759651\pi\) | |||||||
\(854\) | −2.61148 | − | 3.43368i | −0.0893631 | − | 0.117498i | ||||
\(855\) | −0.0483993 | − | 0.276153i | −0.00165522 | − | 0.00944422i | ||||
\(856\) | −15.9131 | − | 15.2017i | −0.543898 | − | 0.519582i | ||||
\(857\) | 22.3260 | + | 34.7400i | 0.762643 | + | 1.18670i | 0.977682 | + | 0.210090i | \(0.0673757\pi\) |
−0.215039 | + | 0.976605i | \(0.568988\pi\) | |||||||
\(858\) | −1.04347 | − | 1.54449i | −0.0356236 | − | 0.0527280i | ||||
\(859\) | 2.92720 | − | 2.53643i | 0.0998748 | − | 0.0865420i | −0.603492 | − | 0.797369i | \(-0.706225\pi\) |
0.703367 | + | 0.710827i | \(0.251679\pi\) | |||||||
\(860\) | −17.0654 | − | 4.72959i | −0.581926 | − | 0.161278i | ||||
\(861\) | −0.0438597 | + | 0.781700i | −0.00149473 | + | 0.0266403i | ||||
\(862\) | 20.6447 | − | 1.63475i | 0.703162 | − | 0.0556798i | ||||
\(863\) | −4.76960 | − | 16.2438i | −0.162359 | − | 0.552945i | −0.999978 | − | 0.00668882i | \(-0.997871\pi\) |
0.837618 | − | 0.546256i | \(-0.183947\pi\) | |||||||
\(864\) | 9.92007 | − | 27.6693i | 0.337488 | − | 0.941330i | ||||
\(865\) | 16.1744 | − | 2.32552i | 0.549945 | − | 0.0790702i | ||||
\(866\) | −10.6677 | + | 5.93099i | −0.362504 | + | 0.201543i | ||||
\(867\) | −15.7254 | − | 15.2498i | −0.534062 | − | 0.517912i | ||||
\(868\) | −0.00683587 | − | 0.0428933i | −0.000232024 | − | 0.00145589i | ||||
\(869\) | −0.0155848 | + | 0.108395i | −0.000528678 | + | 0.00367704i | ||||
\(870\) | −3.19336 | + | 7.44014i | −0.108265 | + | 0.252244i | ||||
\(871\) | 7.00796 | + | 6.07243i | 0.237456 | + | 0.205757i | ||||
\(872\) | 1.23892 | + | 1.57847i | 0.0419552 | + | 0.0534537i | ||||
\(873\) | 27.1551 | + | 29.4606i | 0.919061 | + | 0.997089i | ||||
\(874\) | 0.661166 | − | 0.166458i | 0.0223643 | − | 0.00563053i | ||||
\(875\) | −3.01085 | −0.101785 | ||||||||
\(876\) | −2.92050 | − | 0.988637i | −0.0986744 | − | 0.0334029i | ||||
\(877\) | 20.5876 | + | 17.8392i | 0.695193 | + | 0.602388i | 0.929081 | − | 0.369875i | \(-0.120600\pi\) |
−0.233888 | + | 0.972263i | \(0.575145\pi\) | |||||||
\(878\) | 8.09039 | + | 7.96802i | 0.273037 | + | 0.268908i | ||||
\(879\) | 37.7942 | − | 8.83133i | 1.27477 | − | 0.297874i | ||||
\(880\) | 1.15190 | + | 0.300417i | 0.0388306 | + | 0.0101271i | ||||
\(881\) | −7.44316 | − | 16.2982i | −0.250766 | − | 0.549102i | 0.741826 | − | 0.670592i | \(-0.233960\pi\) |
−0.992593 | + | 0.121491i | \(0.961233\pi\) | |||||||
\(882\) | −27.6968 | − | 9.13782i | −0.932601 | − | 0.307686i | ||||
\(883\) | −10.8004 | + | 1.55287i | −0.363464 | + | 0.0522582i | −0.321627 | − | 0.946866i | \(-0.604230\pi\) |
−0.0418362 | + | 0.999124i | \(0.513321\pi\) | |||||||
\(884\) | 6.60885 | + | 7.39619i | 0.222280 | + | 0.248761i | ||||
\(885\) | 5.48825 | + | 7.10155i | 0.184485 | + | 0.238716i | ||||
\(886\) | 24.4981 | − | 1.93988i | 0.823029 | − | 0.0651715i | ||||
\(887\) | 34.7324 | + | 15.8618i | 1.16620 | + | 0.532586i | 0.901938 | − | 0.431865i | \(-0.142144\pi\) |
0.264263 | + | 0.964451i | \(0.414871\pi\) | |||||||
\(888\) | 4.06146 | − | 38.6910i | 0.136294 | − | 1.29839i | ||||
\(889\) | −0.584296 | + | 0.506295i | −0.0195966 | + | 0.0169806i | ||||
\(890\) | −15.3394 | + | 3.45950i | −0.514177 | + | 0.115963i | ||||
\(891\) | −2.54241 | + | 1.35544i | −0.0851738 | + | 0.0454089i | ||||
\(892\) | 10.2683 | − | 16.5262i | 0.343808 | − | 0.553339i | ||||
\(893\) | −0.513537 | + | 0.799080i | −0.0171849 | + | 0.0267402i | ||||
\(894\) | 39.6760 | + | 24.2289i | 1.32696 | + | 0.810337i | ||||
\(895\) | 3.86994 | − | 13.1798i | 0.129358 | − | 0.440552i | ||||
\(896\) | −3.97963 | + | 0.499014i | −0.132950 | + | 0.0166709i | ||||
\(897\) | −10.1511 | − | 16.9358i | −0.338936 | − | 0.565471i | ||||
\(898\) | 6.80018 | − | 32.4484i | 0.226925 | − | 1.08282i | ||||
\(899\) | 0.208989 | + | 0.0613647i | 0.00697017 | + | 0.00204663i | ||||
\(900\) | −9.26081 | + | 23.0216i | −0.308694 | + | 0.767388i | ||||
\(901\) | 0.404508 | − | 0.629426i | 0.0134761 | − | 0.0209692i | ||||
\(902\) | −0.197606 | + | 0.542390i | −0.00657957 | + | 0.0180596i | ||||
\(903\) | −4.73496 | − | 3.43241i | −0.157570 | − | 0.114224i | ||||
\(904\) | 0.145596 | − | 0.751624i | 0.00484245 | − | 0.0249986i | ||||
\(905\) | −3.25167 | + | 2.81759i | −0.108089 | + | 0.0936597i | ||||
\(906\) | 6.61636 | + | 20.7571i | 0.219814 | + | 0.689609i | ||||
\(907\) | 13.1859 | − | 28.8731i | 0.437831 | − | 0.958716i | −0.554160 | − | 0.832410i | \(-0.686961\pi\) |
0.991991 | − | 0.126306i | \(-0.0403122\pi\) | |||||||
\(908\) | 5.92221 | − | 46.1750i | 0.196536 | − | 1.53237i | ||||
\(909\) | −6.80733 | + | 11.3435i | −0.225785 | + | 0.376242i | ||||
\(910\) | 0.891940 | + | 0.657153i | 0.0295675 | + | 0.0217844i | ||||
\(911\) | −3.01202 | − | 20.9490i | −0.0997925 | − | 0.694072i | −0.976887 | − | 0.213755i | \(-0.931431\pi\) |
0.877095 | − | 0.480317i | \(-0.159478\pi\) | |||||||
\(912\) | 0.179068 | + | 0.673049i | 0.00592952 | + | 0.0222869i | ||||
\(913\) | −0.456427 | − | 0.999436i | −0.0151055 | − | 0.0330765i | ||||
\(914\) | −1.50055 | − | 3.93137i | −0.0496337 | − | 0.130038i | ||||
\(915\) | −13.4918 | + | 3.15261i | −0.446025 | + | 0.104222i | ||||
\(916\) | −17.1883 | − | 25.8701i | −0.567919 | − | 0.854771i | ||||
\(917\) | 2.42760 | + | 2.10353i | 0.0801664 | + | 0.0694645i | ||||
\(918\) | 12.4345 | − | 8.96887i | 0.410401 | − | 0.296017i | ||||
\(919\) | 4.75166i | 0.156743i | 0.996924 | + | 0.0783714i | \(0.0249720\pi\) | ||||
−0.996924 | + | 0.0783714i | \(0.975028\pi\) | |||||||
\(920\) | 12.0119 | + | 3.83874i | 0.396022 | + | 0.126560i | ||||
\(921\) | −5.39903 | − | 13.8235i | −0.177904 | − | 0.455500i | ||||
\(922\) | 26.1387 | + | 14.0153i | 0.860833 | + | 0.461570i | ||||
\(923\) | −12.9784 | + | 14.9779i | −0.427190 | + | 0.493004i | ||||
\(924\) | 0.321778 | + | 0.225860i | 0.0105857 | + | 0.00743023i | ||||
\(925\) | −4.67400 | + | 32.5084i | −0.153680 | + | 1.06887i | ||||
\(926\) | −26.6942 | + | 10.1888i | −0.877227 | + | 0.334825i | ||||
\(927\) | 11.6059 | − | 27.6278i | 0.381189 | − | 0.907415i | ||||
\(928\) | 6.30582 | − | 19.0989i | 0.206999 | − | 0.626952i | ||||
\(929\) | 7.80994 | − | 1.12290i | 0.256236 | − | 0.0368411i | −0.0129998 | − | 0.999915i | \(-0.504138\pi\) |
0.269236 | + | 0.963074i | \(0.413229\pi\) | |||||||
\(930\) | −0.134717 | − | 0.0362172i | −0.00441756 | − | 0.00118761i | ||||
\(931\) | 0.663054 | − | 0.194690i | 0.0217307 | − | 0.00638072i | ||||
\(932\) | 5.77215 | − | 45.0050i | 0.189073 | − | 1.47419i | ||||
\(933\) | −35.2104 | − | 1.97559i | −1.15274 | − | 0.0646779i | ||||
\(934\) | −45.7191 | − | 2.91991i | −1.49597 | − | 0.0955423i | ||||
\(935\) | 0.406615 | + | 0.469259i | 0.0132977 | + | 0.0153464i | ||||
\(936\) | 17.1597 | − | 10.6002i | 0.560881 | − | 0.346478i | ||||
\(937\) | −0.0458357 | − | 0.0713218i | −0.00149739 | − | 0.00232998i | 0.840504 | − | 0.541805i | \(-0.182259\pi\) |
−0.842001 | + | 0.539475i | \(0.818623\pi\) | |||||||
\(938\) | −1.83762 | − | 0.669492i | −0.0600005 | − | 0.0218597i | ||||
\(939\) | −8.96152 | + | 44.4714i | −0.292448 | + | 1.45127i | ||||
\(940\) | −15.8679 | + | 7.54094i | −0.517552 | + | 0.245958i | ||||
\(941\) | −3.08024 | + | 10.4903i | −0.100413 | + | 0.341975i | −0.994341 | − | 0.106235i | \(-0.966120\pi\) |
0.893928 | + | 0.448210i | \(0.147938\pi\) | |||||||
\(942\) | 0.510296 | − | 0.0853755i | 0.0166264 | − | 0.00278168i | ||||
\(943\) | −2.40147 | + | 5.62378i | −0.0782025 | + | 0.183136i | ||||
\(944\) | −15.1073 | − | 16.3971i | −0.491699 | − | 0.533680i | ||||
\(945\) | 1.15388 | − | 1.26537i | 0.0375358 | − | 0.0411626i | ||||
\(946\) | −2.61029 | − | 3.43211i | −0.0848678 | − | 0.111587i | ||||
\(947\) | −36.5357 | − | 23.4801i | −1.18725 | − | 0.763001i | −0.210547 | − | 0.977584i | \(-0.567524\pi\) |
−0.976706 | + | 0.214583i | \(0.931161\pi\) | |||||||
\(948\) | −1.16508 | − | 0.216356i | −0.0378401 | − | 0.00702691i | ||||
\(949\) | −1.14384 | − | 1.77986i | −0.0371308 | − | 0.0577766i | ||||
\(950\) | −0.129354 | − | 0.573552i | −0.00419679 | − | 0.0186085i | ||||
\(951\) | −17.2216 | − | 9.06336i | −0.558450 | − | 0.293900i | ||||
\(952\) | −1.85854 | − | 0.960355i | −0.0602356 | − | 0.0311253i | ||||
\(953\) | −23.5507 | + | 51.5688i | −0.762882 | + | 1.67048i | −0.0211559 | + | 0.999776i | \(0.506735\pi\) |
−0.741726 | + | 0.670703i | \(0.765993\pi\) | |||||||
\(954\) | −1.11627 | − | 1.03383i | −0.0361406 | − | 0.0334716i | ||||
\(955\) | 2.14136 | + | 7.29280i | 0.0692928 | + | 0.235989i | ||||
\(956\) | −20.0385 | − | 22.4258i | −0.648092 | − | 0.725303i | ||||
\(957\) | −1.71559 | + | 0.971263i | −0.0554572 | + | 0.0313965i | ||||
\(958\) | −17.2241 | − | 30.9800i | −0.556486 | − | 1.00092i | ||||
\(959\) | 4.02246 | − | 1.83700i | 0.129892 | − | 0.0593198i | ||||
\(960\) | −3.75664 | + | 12.3217i | −0.121245 | + | 0.397681i | ||||
\(961\) | 4.41123 | − | 30.6808i | 0.142298 | − | 0.989702i | ||||
\(962\) | 18.7320 | − | 19.0197i | 0.603943 | − | 0.613218i | ||||
\(963\) | −23.3312 | + | 0.716516i | −0.751837 | + | 0.0230894i | ||||
\(964\) | −28.9811 | + | 34.4944i | −0.933418 | + | 1.11099i | ||||
\(965\) | 2.99387i | 0.0963762i | ||||||||
\(966\) | 3.27402 | + | 2.57371i | 0.105340 | + | 0.0828079i | ||||
\(967\) | 52.2375 | 1.67985 | 0.839923 | − | 0.542706i | \(-0.182600\pi\) | ||||
0.839923 | + | 0.542706i | \(0.182600\pi\) | |||||||
\(968\) | −19.0306 | − | 24.2463i | −0.611668 | − | 0.779305i | ||||
\(969\) | −0.121710 | + | 0.342274i | −0.00390989 | + | 0.0109954i | ||||
\(970\) | −12.5102 | − | 12.3210i | −0.401679 | − | 0.395604i | ||||
\(971\) | 42.7192 | + | 6.14210i | 1.37093 | + | 0.197109i | 0.788130 | − | 0.615509i | \(-0.211050\pi\) |
0.582796 | + | 0.812618i | \(0.301959\pi\) | |||||||
\(972\) | −13.5326 | − | 28.0868i | −0.434058 | − | 0.900885i | ||||
\(973\) | −1.36949 | − | 2.99875i | −0.0439037 | − | 0.0961356i | ||||
\(974\) | 17.5216 | + | 31.5151i | 0.561428 | + | 1.00981i | ||||
\(975\) | −14.8176 | + | 8.38880i | −0.474542 | + | 0.268657i | ||||
\(976\) | 32.7135 | − | 10.6988i | 1.04713 | − | 0.342460i | ||||
\(977\) | −3.73721 | + | 1.09734i | −0.119564 | + | 0.0351072i | −0.340967 | − | 0.940075i | \(-0.610755\pi\) |
0.221403 | + | 0.975182i | \(0.428936\pi\) | |||||||
\(978\) | 12.7132 | + | 26.2265i | 0.406523 | + | 0.838632i | ||||
\(979\) | −3.48285 | − | 1.59056i | −0.111312 | − | 0.0508346i | ||||
\(980\) | 12.3172 | + | 3.41364i | 0.393458 | + | 0.109045i | ||||
\(981\) | 2.11497 | + | 0.238084i | 0.0675259 | + | 0.00760143i | ||||
\(982\) | −3.56065 | − | 15.7878i | −0.113625 | − | 0.503810i | ||||
\(983\) | 22.1570 | − | 14.2394i | 0.706699 | − | 0.454168i | −0.137288 | − | 0.990531i | \(-0.543839\pi\) |
0.843987 | + | 0.536363i | \(0.180202\pi\) | |||||||
\(984\) | −5.77707 | − | 2.37596i | −0.184166 | − | 0.0757430i | ||||
\(985\) | 7.63617 | − | 11.8821i | 0.243309 | − | 0.378596i | ||||
\(986\) | 8.35013 | − | 6.35069i | 0.265922 | − | 0.202247i | ||||
\(987\) | −5.78010 | + | 0.502687i | −0.183983 | + | 0.0160007i | ||||
\(988\) | −0.191881 | + | 0.437692i | −0.00610453 | + | 0.0139248i | ||||
\(989\) | −25.6410 | − | 37.8014i | −0.815335 | − | 1.20202i | ||||
\(990\) | 1.08420 | − | 0.647133i | 0.0344581 | − | 0.0205672i | ||||
\(991\) | −9.29965 | − | 2.73062i | −0.295413 | − | 0.0867411i | 0.130668 | − | 0.991426i | \(-0.458288\pi\) |
−0.426081 | + | 0.904685i | \(0.640106\pi\) | |||||||
\(992\) | 0.341182 | + | 0.0607106i | 0.0108326 | + | 0.00192756i | ||||
\(993\) | −10.8799 | + | 53.9912i | −0.345262 | + | 1.71336i | ||||
\(994\) | 1.43089 | − | 3.92750i | 0.0453849 | − | 0.124573i | ||||
\(995\) | −20.7245 | + | 13.3188i | −0.657011 | + | 0.422235i | ||||
\(996\) | 11.0074 | − | 4.49366i | 0.348782 | − | 0.142387i | ||||
\(997\) | −29.4893 | + | 25.5526i | −0.933934 | + | 0.809259i | −0.981863 | − | 0.189592i | \(-0.939283\pi\) |
0.0479288 | + | 0.998851i | \(0.484738\pi\) | |||||||
\(998\) | 34.8309 | + | 2.22452i | 1.10255 | + | 0.0704159i | ||||
\(999\) | −26.2228 | − | 31.8598i | −0.829652 | − | 1.00800i |
(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 | 552.2.bf.a.5.15 | yes | 920 | |
3.2 | odd | 2 | inner | 552.2.bf.a.5.78 | yes | 920 | |
8.5 | even | 2 | inner | 552.2.bf.a.5.89 | yes | 920 | |
23.14 | odd | 22 | inner | 552.2.bf.a.221.4 | yes | 920 | |
24.5 | odd | 2 | inner | 552.2.bf.a.5.4 | ✓ | 920 | |
69.14 | even | 22 | inner | 552.2.bf.a.221.89 | yes | 920 | |
184.37 | odd | 22 | inner | 552.2.bf.a.221.78 | yes | 920 | |
552.221 | even | 22 | inner | 552.2.bf.a.221.15 | yes | 920 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bf.a.5.4 | ✓ | 920 | 24.5 | odd | 2 | inner | |
552.2.bf.a.5.15 | yes | 920 | 1.1 | even | 1 | trivial | |
552.2.bf.a.5.78 | yes | 920 | 3.2 | odd | 2 | inner | |
552.2.bf.a.5.89 | yes | 920 | 8.5 | even | 2 | inner | |
552.2.bf.a.221.4 | yes | 920 | 23.14 | odd | 22 | inner | |
552.2.bf.a.221.15 | yes | 920 | 552.221 | even | 22 | inner | |
552.2.bf.a.221.78 | yes | 920 | 184.37 | odd | 22 | inner | |
552.2.bf.a.221.89 | yes | 920 | 69.14 | even | 22 | inner |