Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(3,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([22, 33, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.w (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(1360\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 3.19 | ||
Character | \(\chi\) | \(=\) | 460.3 |
Dual form | 460.2.w.a.307.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.921863 | − | 1.07246i | −0.651855 | − | 0.758343i | ||||
\(3\) | −1.09678 | − | 2.94057i | −0.633224 | − | 1.69774i | −0.713216 | − | 0.700944i | \(-0.752762\pi\) |
0.0799920 | − | 0.996796i | \(-0.474511\pi\) | |||||||
\(4\) | −0.300338 | + | 1.97732i | −0.150169 | + | 0.988660i | ||||
\(5\) | 0.110052 | + | 2.23336i | 0.0492166 | + | 0.998788i | ||||
\(6\) | −2.14257 | + | 3.88705i | −0.874699 | + | 1.58688i | ||||
\(7\) | 1.66107 | + | 0.361343i | 0.627825 | + | 0.136575i | 0.515210 | − | 0.857064i | \(-0.327714\pi\) |
0.112615 | + | 0.993639i | \(0.464077\pi\) | |||||||
\(8\) | 2.39747 | − | 1.50072i | 0.847632 | − | 0.530584i | ||||
\(9\) | −5.17679 | + | 4.48572i | −1.72560 | + | 1.49524i | ||||
\(10\) | 2.29373 | − | 2.17688i | 0.725342 | − | 0.688389i | ||||
\(11\) | 3.24535 | + | 0.466611i | 0.978510 | + | 0.140689i | 0.612969 | − | 0.790107i | \(-0.289975\pi\) |
0.365541 | + | 0.930795i | \(0.380884\pi\) | |||||||
\(12\) | 6.14386 | − | 1.28551i | 1.77358 | − | 0.371096i | ||||
\(13\) | 0.713567 | + | 3.28022i | 0.197908 | + | 0.909768i | 0.963764 | + | 0.266756i | \(0.0859518\pi\) |
−0.765856 | + | 0.643012i | \(0.777685\pi\) | |||||||
\(14\) | −1.14375 | − | 2.11454i | −0.305680 | − | 0.565134i | ||||
\(15\) | 6.44665 | − | 2.77311i | 1.66452 | − | 0.716014i | ||||
\(16\) | −3.81959 | − | 1.18773i | −0.954898 | − | 0.296932i | ||||
\(17\) | 6.70189 | − | 3.65951i | 1.62545 | − | 0.887561i | 0.631787 | − | 0.775142i | \(-0.282322\pi\) |
0.993661 | − | 0.112419i | \(-0.0358599\pi\) | |||||||
\(18\) | 9.58304 | + | 1.41669i | 2.25874 | + | 0.333916i | ||||
\(19\) | 1.12748 | − | 0.331058i | 0.258662 | − | 0.0759499i | −0.149831 | − | 0.988712i | \(-0.547873\pi\) |
0.408492 | + | 0.912762i | \(0.366055\pi\) | |||||||
\(20\) | −4.44912 | − | 0.453155i | −0.994853 | − | 0.101329i | ||||
\(21\) | −0.759265 | − | 5.28081i | −0.165685 | − | 1.15237i | ||||
\(22\) | −2.49135 | − | 3.91066i | −0.531157 | − | 0.833755i | ||||
\(23\) | −1.03279 | + | 4.68330i | −0.215352 | + | 0.976537i | ||||
\(24\) | −7.04245 | − | 5.40397i | −1.43753 | − | 1.10308i | ||||
\(25\) | −4.97578 | + | 0.491570i | −0.995155 | + | 0.0983140i | ||||
\(26\) | 2.86009 | − | 3.78918i | 0.560909 | − | 0.743120i | ||||
\(27\) | 10.6047 | + | 5.79060i | 2.04087 | + | 1.11440i | ||||
\(28\) | −1.21337 | + | 3.17594i | −0.229306 | + | 0.600196i | ||||
\(29\) | −1.27325 | + | 4.33628i | −0.236436 | + | 0.805226i | 0.752718 | + | 0.658343i | \(0.228742\pi\) |
−0.989154 | + | 0.146883i | \(0.953076\pi\) | |||||||
\(30\) | −8.91697 | − | 4.35734i | −1.62801 | − | 0.795538i | ||||
\(31\) | 0.149523 | − | 0.0682847i | 0.0268551 | − | 0.0122643i | −0.401942 | − | 0.915665i | \(-0.631665\pi\) |
0.428797 | + | 0.903401i | \(0.358937\pi\) | |||||||
\(32\) | 2.24735 | + | 5.19128i | 0.397279 | + | 0.917698i | ||||
\(33\) | −2.18732 | − | 10.0550i | −0.380764 | − | 1.75034i | ||||
\(34\) | −10.1029 | − | 3.81394i | −1.73263 | − | 0.654085i | ||||
\(35\) | −0.624206 | + | 3.74953i | −0.105510 | + | 0.633786i | ||||
\(36\) | −7.31491 | − | 11.5834i | −1.21915 | − | 1.93057i | ||||
\(37\) | 4.78312 | + | 0.342095i | 0.786340 | + | 0.0562401i | 0.458733 | − | 0.888574i | \(-0.348303\pi\) |
0.327607 | + | 0.944814i | \(0.393758\pi\) | |||||||
\(38\) | −1.39443 | − | 0.903986i | −0.226206 | − | 0.146646i | ||||
\(39\) | 8.86309 | − | 5.69596i | 1.41923 | − | 0.912083i | ||||
\(40\) | 3.61549 | + | 5.18925i | 0.571658 | + | 0.820492i | ||||
\(41\) | 0.875046 | − | 1.00986i | 0.136659 | − | 0.157713i | −0.683295 | − | 0.730143i | \(-0.739454\pi\) |
0.819954 | + | 0.572430i | \(0.193999\pi\) | |||||||
\(42\) | −4.96351 | + | 5.68246i | −0.765886 | + | 0.876822i | ||||
\(43\) | −2.86261 | − | 7.67495i | −0.436543 | − | 1.17042i | −0.949985 | − | 0.312294i | \(-0.898903\pi\) |
0.513442 | − | 0.858124i | \(-0.328370\pi\) | |||||||
\(44\) | −1.89734 | + | 6.27696i | −0.286035 | + | 0.946287i | ||||
\(45\) | −10.5879 | − | 11.0680i | −1.57835 | − | 1.64992i | ||||
\(46\) | 5.97475 | − | 3.20974i | 0.880928 | − | 0.473250i | ||||
\(47\) | −4.45677 | − | 4.45677i | −0.650086 | − | 0.650086i | 0.302927 | − | 0.953014i | \(-0.402036\pi\) |
−0.953014 | + | 0.302927i | \(0.902036\pi\) | |||||||
\(48\) | 0.696636 | + | 12.5345i | 0.100551 | + | 1.80919i | ||||
\(49\) | −3.73884 | − | 1.70747i | −0.534120 | − | 0.243925i | ||||
\(50\) | 5.11417 | + | 4.88316i | 0.723253 | + | 0.690583i | ||||
\(51\) | −18.1115 | − | 15.6937i | −2.53612 | − | 2.19756i | ||||
\(52\) | −6.70035 | + | 0.425777i | −0.929171 | + | 0.0590447i | ||||
\(53\) | 5.56224 | + | 1.20999i | 0.764033 | + | 0.166205i | 0.577664 | − | 0.816275i | \(-0.303964\pi\) |
0.186369 | + | 0.982480i | \(0.440328\pi\) | |||||||
\(54\) | −3.56589 | − | 16.7112i | −0.485256 | − | 2.27411i | ||||
\(55\) | −0.684953 | + | 7.29938i | −0.0923591 | + | 0.984249i | ||||
\(56\) | 4.52463 | − | 1.62649i | 0.604629 | − | 0.217348i | ||||
\(57\) | −2.21009 | − | 2.95234i | −0.292734 | − | 0.391047i | ||||
\(58\) | 5.82424 | − | 2.63195i | 0.764760 | − | 0.345592i | ||||
\(59\) | 7.92467 | + | 5.09288i | 1.03170 | + | 0.663036i | 0.942922 | − | 0.333015i | \(-0.108066\pi\) |
0.0887828 | + | 0.996051i | \(0.471702\pi\) | |||||||
\(60\) | 3.54715 | + | 13.5800i | 0.457935 | + | 1.75317i | ||||
\(61\) | 4.44593 | + | 9.73523i | 0.569243 | + | 1.24647i | 0.947199 | + | 0.320645i | \(0.103900\pi\) |
−0.377956 | + | 0.925824i | \(0.623373\pi\) | |||||||
\(62\) | −0.211072 | − | 0.0974079i | −0.0268062 | − | 0.0123708i | ||||
\(63\) | −10.2199 | + | 5.58049i | −1.28759 | + | 0.703075i | ||||
\(64\) | 3.49569 | − | 7.19584i | 0.436962 | − | 0.899480i | ||||
\(65\) | −7.24737 | + | 1.95464i | −0.898925 | + | 0.242444i | ||||
\(66\) | −8.76712 | + | 11.6151i | −1.07916 | + | 1.42972i | ||||
\(67\) | 7.40444 | − | 9.89117i | 0.904596 | − | 1.20840i | −0.0728779 | − | 0.997341i | \(-0.523218\pi\) |
0.977474 | − | 0.211058i | \(-0.0676907\pi\) | |||||||
\(68\) | 5.22319 | + | 14.3509i | 0.633405 | + | 1.74030i | ||||
\(69\) | 14.9043 | − | 2.09954i | 1.79427 | − | 0.252756i | ||||
\(70\) | 4.59665 | − | 2.78712i | 0.549405 | − | 0.333124i | ||||
\(71\) | 9.14897 | − | 1.31542i | 1.08578 | − | 0.156112i | 0.423893 | − | 0.905713i | \(-0.360663\pi\) |
0.661891 | + | 0.749600i | \(0.269754\pi\) | |||||||
\(72\) | −5.67939 | + | 18.5233i | −0.669323 | + | 2.18299i | ||||
\(73\) | −6.38790 | − | 3.48806i | −0.747647 | − | 0.408246i | 0.0597817 | − | 0.998211i | \(-0.480960\pi\) |
−0.807428 | + | 0.589965i | \(0.799141\pi\) | |||||||
\(74\) | −4.04250 | − | 5.44507i | −0.469931 | − | 0.632976i | ||||
\(75\) | 6.90281 | + | 14.0925i | 0.797068 | + | 1.62726i | ||||
\(76\) | 0.315982 | + | 2.32882i | 0.0362457 | + | 0.267134i | ||||
\(77\) | 5.22215 | + | 1.94776i | 0.595119 | + | 0.221968i | ||||
\(78\) | −14.2792 | − | 4.25441i | −1.61680 | − | 0.481717i | ||||
\(79\) | −9.03134 | − | 5.80409i | −1.01611 | − | 0.653011i | −0.0771389 | − | 0.997020i | \(-0.524578\pi\) |
−0.938966 | + | 0.344009i | \(0.888215\pi\) | |||||||
\(80\) | 2.23227 | − | 8.66123i | 0.249576 | − | 0.968355i | ||||
\(81\) | 2.47218 | − | 17.1944i | 0.274687 | − | 1.91049i | ||||
\(82\) | −1.88970 | − | 0.00750182i | −0.208683 | − | 0.000828437i | ||||
\(83\) | 9.11457 | + | 0.651887i | 1.00045 | + | 0.0715539i | 0.561947 | − | 0.827174i | \(-0.310053\pi\) |
0.438508 | + | 0.898727i | \(0.355507\pi\) | |||||||
\(84\) | 10.6699 | + | 0.0847168i | 1.16418 | + | 0.00924337i | ||||
\(85\) | 8.91055 | + | 14.5650i | 0.966485 | + | 1.57979i | ||||
\(86\) | −5.59214 | + | 10.1453i | −0.603016 | + | 1.09399i | ||||
\(87\) | 14.1476 | − | 1.01186i | 1.51678 | − | 0.108482i | ||||
\(88\) | 8.48087 | − | 3.75167i | 0.904064 | − | 0.399930i | ||||
\(89\) | 1.28875 | + | 0.588555i | 0.136608 | + | 0.0623867i | 0.482546 | − | 0.875871i | \(-0.339712\pi\) |
−0.345938 | + | 0.938257i | \(0.612439\pi\) | |||||||
\(90\) | −2.10934 | + | 21.5583i | −0.222343 | + | 2.27244i | ||||
\(91\) | 5.70651i | 0.598205i | ||||||||
\(92\) | −8.95021 | − | 3.44873i | −0.933124 | − | 0.359555i | ||||
\(93\) | −0.364789 | − | 0.364789i | −0.0378269 | − | 0.0378269i | ||||
\(94\) | −0.671174 | + | 8.88823i | −0.0692263 | + | 0.916751i | ||||
\(95\) | 0.863452 | + | 2.48163i | 0.0885883 | + | 0.254610i | ||||
\(96\) | 12.8005 | − | 12.3022i | 1.30645 | − | 1.25558i | ||||
\(97\) | 0.303806 | + | 4.24777i | 0.0308469 | + | 0.431295i | 0.989285 | + | 0.145996i | \(0.0466386\pi\) |
−0.958438 | + | 0.285300i | \(0.907907\pi\) | |||||||
\(98\) | 1.61550 | + | 5.58381i | 0.163191 | + | 0.564050i | ||||
\(99\) | −18.8936 | + | 12.1422i | −1.89888 | + | 1.22033i | ||||
\(100\) | 0.522425 | − | 9.98634i | 0.0522425 | − | 0.998634i | ||||
\(101\) | 7.07127 | + | 8.16068i | 0.703618 | + | 0.812018i | 0.989237 | − | 0.146325i | \(-0.0467446\pi\) |
−0.285619 | + | 0.958343i | \(0.592199\pi\) | |||||||
\(102\) | −0.134543 | + | 33.8913i | −0.0133218 | + | 3.35574i | ||||
\(103\) | −0.241686 | − | 0.322855i | −0.0238140 | − | 0.0318118i | 0.788476 | − | 0.615065i | \(-0.210870\pi\) |
−0.812290 | + | 0.583253i | \(0.801779\pi\) | |||||||
\(104\) | 6.63343 | + | 6.79335i | 0.650462 | + | 0.666142i | ||||
\(105\) | 11.7104 | − | 2.27687i | 1.14282 | − | 0.222200i | ||||
\(106\) | −3.82996 | − | 7.08072i | −0.371998 | − | 0.687741i | ||||
\(107\) | −2.52468 | + | 6.76892i | −0.244070 | + | 0.654376i | −1.00000 | 0.000275825i | \(-0.999912\pi\) | |
0.755930 | + | 0.654652i | \(0.227185\pi\) | |||||||
\(108\) | −14.6349 | + | 19.2297i | −1.40824 | + | 1.85038i | ||||
\(109\) | −1.10009 | + | 3.74657i | −0.105370 | + | 0.358856i | −0.995252 | − | 0.0973346i | \(-0.968968\pi\) |
0.889882 | + | 0.456191i | \(0.150786\pi\) | |||||||
\(110\) | 8.45973 | − | 5.99445i | 0.806603 | − | 0.571548i | ||||
\(111\) | −4.24006 | − | 14.4403i | −0.402448 | − | 1.37061i | ||||
\(112\) | −5.91543 | − | 3.35309i | −0.558956 | − | 0.316837i | ||||
\(113\) | 3.77950 | − | 5.04882i | 0.355546 | − | 0.474954i | −0.586734 | − | 0.809780i | \(-0.699587\pi\) |
0.942280 | + | 0.334826i | \(0.108678\pi\) | |||||||
\(114\) | −1.12886 | + | 5.09189i | −0.105728 | + | 0.476899i | ||||
\(115\) | −10.5732 | − | 1.79118i | −0.985952 | − | 0.167029i | ||||
\(116\) | −8.19181 | − | 3.81996i | −0.760590 | − | 0.354675i | ||||
\(117\) | −18.4081 | − | 13.7801i | −1.70183 | − | 1.27397i | ||||
\(118\) | −1.84356 | − | 13.1938i | −0.169713 | − | 1.21459i | ||||
\(119\) | 12.4546 | − | 3.65701i | 1.14172 | − | 0.335238i | ||||
\(120\) | 11.2940 | − | 16.3230i | 1.03099 | − | 1.49008i | ||||
\(121\) | −0.239841 | − | 0.0704237i | −0.0218037 | − | 0.00640215i | ||||
\(122\) | 6.34210 | − | 13.7426i | 0.574187 | − | 1.24420i | ||||
\(123\) | −3.92928 | − | 1.46555i | −0.354292 | − | 0.132144i | ||||
\(124\) | 0.0901134 | + | 0.316163i | 0.00809242 | + | 0.0283923i | ||||
\(125\) | −1.64544 | − | 11.0586i | −0.147173 | − | 0.989111i | ||||
\(126\) | 15.4062 | + | 5.81598i | 1.37249 | + | 0.518129i | ||||
\(127\) | −7.08343 | + | 5.30259i | −0.628552 | + | 0.470528i | −0.865443 | − | 0.501008i | \(-0.832963\pi\) |
0.236890 | + | 0.971536i | \(0.423872\pi\) | |||||||
\(128\) | −10.9398 | + | 2.88459i | −0.966951 | + | 0.254964i | ||||
\(129\) | −19.4291 | + | 16.8354i | −1.71064 | + | 1.48227i | ||||
\(130\) | 8.77736 | + | 5.97059i | 0.769825 | + | 0.523656i | ||||
\(131\) | 1.53115 | + | 2.38252i | 0.133778 | + | 0.208162i | 0.901679 | − | 0.432406i | \(-0.142335\pi\) |
−0.767901 | + | 0.640568i | \(0.778699\pi\) | |||||||
\(132\) | 20.5388 | − | 1.30515i | 1.78767 | − | 0.113599i | ||||
\(133\) | 1.99245 | − | 0.142503i | 0.172767 | − | 0.0123565i | ||||
\(134\) | −17.4337 | + | 1.17734i | −1.50605 | + | 0.101707i | ||||
\(135\) | −11.7654 | + | 24.3213i | −1.01261 | + | 2.09325i | ||||
\(136\) | 10.5757 | − | 18.8312i | 0.906856 | − | 1.61476i | ||||
\(137\) | 8.08802 | − | 8.08802i | 0.691006 | − | 0.691006i | −0.271447 | − | 0.962453i | \(-0.587502\pi\) |
0.962453 | + | 0.271447i | \(0.0875022\pi\) | |||||||
\(138\) | −15.9914 | − | 14.0488i | −1.36128 | − | 1.19591i | ||||
\(139\) | −18.4087 | −1.56140 | −0.780701 | − | 0.624905i | \(-0.785138\pi\) | ||||
−0.780701 | + | 0.624905i | \(0.785138\pi\) | |||||||
\(140\) | −7.22655 | − | 2.36038i | −0.610755 | − | 0.199489i | ||||
\(141\) | −8.21736 | + | 17.9935i | −0.692027 | + | 1.51533i | ||||
\(142\) | −9.84483 | − | 8.59926i | −0.826160 | − | 0.721634i | ||||
\(143\) | 0.785192 | + | 10.9784i | 0.0656610 | + | 0.918061i | ||||
\(144\) | 25.1011 | − | 10.9850i | 2.09176 | − | 0.915415i | ||||
\(145\) | −9.82458 | − | 2.36640i | −0.815887 | − | 0.196519i | ||||
\(146\) | 2.14797 | + | 10.0663i | 0.177767 | + | 0.833090i | ||||
\(147\) | −0.920269 | + | 12.8670i | −0.0759025 | + | 1.06126i | ||||
\(148\) | −2.11299 | + | 9.35502i | −0.173686 | + | 0.768978i | ||||
\(149\) | 12.2810 | + | 1.76575i | 1.00610 | + | 0.144656i | 0.625616 | − | 0.780131i | \(-0.284848\pi\) |
0.380486 | + | 0.924787i | \(0.375757\pi\) | |||||||
\(150\) | 8.75017 | − | 20.3943i | 0.714449 | − | 1.66519i | ||||
\(151\) | 3.08447 | − | 4.79952i | 0.251010 | − | 0.390580i | −0.692767 | − | 0.721161i | \(-0.743609\pi\) |
0.943777 | + | 0.330582i | \(0.107245\pi\) | |||||||
\(152\) | 2.20627 | − | 2.48573i | 0.178952 | − | 0.201619i | ||||
\(153\) | −18.2788 | + | 49.0073i | −1.47775 | + | 3.96201i | ||||
\(154\) | −2.72521 | − | 7.39611i | −0.219604 | − | 0.595995i | ||||
\(155\) | 0.168959 | + | 0.326423i | 0.0135712 | + | 0.0262189i | ||||
\(156\) | 8.60081 | + | 19.2359i | 0.688616 | + | 1.54010i | ||||
\(157\) | 1.38990 | − | 2.54541i | 0.110926 | − | 0.203146i | −0.816319 | − | 0.577602i | \(-0.803989\pi\) |
0.927245 | + | 0.374456i | \(0.122170\pi\) | |||||||
\(158\) | 2.10101 | + | 15.0363i | 0.167147 | + | 1.19623i | ||||
\(159\) | −2.54247 | − | 17.6833i | −0.201631 | − | 1.40237i | ||||
\(160\) | −11.3467 | + | 5.59045i | −0.897033 | + | 0.441964i | ||||
\(161\) | −3.40782 | + | 7.40610i | −0.268574 | + | 0.583683i | ||||
\(162\) | −20.7193 | + | 13.1996i | −1.62786 | + | 1.03705i | ||||
\(163\) | −18.1781 | − | 13.6080i | −1.42382 | − | 1.06586i | −0.985991 | − | 0.166799i | \(-0.946657\pi\) |
−0.437828 | − | 0.899059i | \(-0.644252\pi\) | |||||||
\(164\) | 1.73400 | + | 2.03354i | 0.135403 | + | 0.158793i | ||||
\(165\) | 22.2156 | − | 5.99164i | 1.72948 | − | 0.466448i | ||||
\(166\) | −7.70326 | − | 10.3760i | −0.597889 | − | 0.805331i | ||||
\(167\) | −5.71822 | − | 10.4721i | −0.442489 | − | 0.810358i | 0.557312 | − | 0.830303i | \(-0.311833\pi\) |
−0.999801 | + | 0.0199449i | \(0.993651\pi\) | |||||||
\(168\) | −9.74531 | − | 11.5211i | −0.751867 | − | 0.888873i | ||||
\(169\) | 1.57458 | − | 0.719085i | 0.121121 | − | 0.0553143i | ||||
\(170\) | 7.40605 | − | 22.9831i | 0.568018 | − | 1.76273i | ||||
\(171\) | −4.35170 | + | 6.77137i | −0.332783 | + | 0.517820i | ||||
\(172\) | 16.0356 | − | 3.35521i | 1.22270 | − | 0.255833i | ||||
\(173\) | 5.60219 | − | 4.19375i | 0.425927 | − | 0.318845i | −0.364720 | − | 0.931117i | \(-0.618835\pi\) |
0.790647 | + | 0.612272i | \(0.209744\pi\) | |||||||
\(174\) | −14.1273 | − | 14.2399i | −1.07099 | − | 1.07953i | ||||
\(175\) | −8.44274 | − | 0.981433i | −0.638211 | − | 0.0741894i | ||||
\(176\) | −11.8417 | − | 5.63687i | −0.892603 | − | 0.424895i | ||||
\(177\) | 6.28438 | − | 28.8888i | 0.472363 | − | 2.17142i | ||||
\(178\) | −0.556854 | − | 1.92470i | −0.0417380 | − | 0.144263i | ||||
\(179\) | −7.81436 | + | 9.01826i | −0.584073 | + | 0.674056i | −0.968475 | − | 0.249109i | \(-0.919862\pi\) |
0.384402 | + | 0.923166i | \(0.374408\pi\) | |||||||
\(180\) | 25.0649 | − | 17.6116i | 1.86823 | − | 1.31269i | ||||
\(181\) | −2.27396 | + | 4.97928i | −0.169022 | + | 0.370107i | −0.975121 | − | 0.221674i | \(-0.928848\pi\) |
0.806099 | + | 0.591781i | \(0.201575\pi\) | |||||||
\(182\) | 6.12000 | − | 5.26062i | 0.453644 | − | 0.389943i | ||||
\(183\) | 23.7510 | − | 23.7510i | 1.75572 | − | 1.75572i | ||||
\(184\) | 4.55224 | + | 12.7780i | 0.335595 | + | 0.942006i | ||||
\(185\) | −0.237631 | + | 10.7201i | −0.0174710 | + | 0.788155i | ||||
\(186\) | −0.0549360 | + | 0.727507i | −0.00402810 | + | 0.0533434i | ||||
\(187\) | 23.4576 | − | 8.74922i | 1.71539 | − | 0.639806i | ||||
\(188\) | 10.1510 | − | 7.47392i | 0.740337 | − | 0.545092i | ||||
\(189\) | 15.5227 | + | 13.4505i | 1.12911 | + | 0.978382i | ||||
\(190\) | 1.86547 | − | 3.21374i | 0.135335 | − | 0.233149i | ||||
\(191\) | −3.99964 | − | 6.22356i | −0.289404 | − | 0.450321i | 0.665860 | − | 0.746077i | \(-0.268065\pi\) |
−0.955264 | + | 0.295756i | \(0.904429\pi\) | |||||||
\(192\) | −24.9939 | − | 2.38710i | −1.80378 | − | 0.172274i | ||||
\(193\) | −0.403321 | + | 5.63916i | −0.0290317 | + | 0.405916i | 0.962069 | + | 0.272805i | \(0.0879513\pi\) |
−0.991101 | + | 0.133111i | \(0.957503\pi\) | |||||||
\(194\) | 4.27549 | − | 4.24168i | 0.306962 | − | 0.304535i | ||||
\(195\) | 13.6965 | + | 19.1676i | 0.980828 | + | 1.37262i | ||||
\(196\) | 4.49914 | − | 6.88007i | 0.321367 | − | 0.491434i | ||||
\(197\) | −20.2717 | + | 4.40985i | −1.44430 | + | 0.314189i | −0.865348 | − | 0.501171i | \(-0.832903\pi\) |
−0.578954 | + | 0.815360i | \(0.696539\pi\) | |||||||
\(198\) | 30.4393 | + | 9.06920i | 2.16323 | + | 0.644520i | ||||
\(199\) | 4.39747 | + | 9.62911i | 0.311728 | + | 0.682590i | 0.999042 | − | 0.0437714i | \(-0.0139373\pi\) |
−0.687313 | + | 0.726361i | \(0.741210\pi\) | |||||||
\(200\) | −11.1916 | + | 8.64576i | −0.791362 | + | 0.611347i | ||||
\(201\) | −37.2067 | − | 10.9249i | −2.62436 | − | 0.770581i | ||||
\(202\) | 2.23326 | − | 15.1067i | 0.157131 | − | 1.06290i | ||||
\(203\) | −3.68183 | + | 6.74278i | −0.258414 | + | 0.473250i | ||||
\(204\) | 36.4711 | − | 31.0989i | 2.55349 | − | 2.17736i | ||||
\(205\) | 2.35167 | + | 1.84315i | 0.164248 | + | 0.128731i | ||||
\(206\) | −0.123447 | + | 0.556826i | −0.00860098 | + | 0.0387959i | ||||
\(207\) | −15.6614 | − | 28.8773i | −1.08855 | − | 2.00711i | ||||
\(208\) | 1.17047 | − | 13.3766i | 0.0811577 | − | 0.927502i | ||||
\(209\) | 3.81354 | − | 0.548305i | 0.263788 | − | 0.0379270i | ||||
\(210\) | −13.2372 | − | 10.4599i | −0.913454 | − | 0.721804i | ||||
\(211\) | 5.17416 | + | 17.6216i | 0.356204 | + | 1.21312i | 0.921548 | + | 0.388264i | \(0.126925\pi\) |
−0.565345 | + | 0.824855i | \(0.691257\pi\) | |||||||
\(212\) | −4.06310 | + | 10.6349i | −0.279055 | + | 0.730410i | ||||
\(213\) | −13.9025 | − | 25.4605i | −0.952582 | − | 1.74452i | ||||
\(214\) | 9.58680 | − | 3.53240i | 0.655340 | − | 0.241470i | ||||
\(215\) | 16.8259 | − | 7.23787i | 1.14751 | − | 0.493618i | ||||
\(216\) | 34.1145 | − | 2.03188i | 2.32120 | − | 0.138252i | ||||
\(217\) | 0.273042 | − | 0.0593966i | 0.0185353 | − | 0.00403210i | ||||
\(218\) | 5.03217 | − | 2.27402i | 0.340822 | − | 0.154016i | ||||
\(219\) | −3.25078 | + | 22.6097i | −0.219667 | + | 1.52782i | ||||
\(220\) | −14.2275 | − | 3.54666i | −0.959218 | − | 0.239116i | ||||
\(221\) | 16.7862 | + | 19.3723i | 1.12916 | + | 1.30313i | ||||
\(222\) | −11.5779 | + | 17.8593i | −0.777057 | + | 1.19864i | ||||
\(223\) | −1.68225 | + | 7.73316i | −0.112651 | + | 0.517851i | 0.885892 | + | 0.463892i | \(0.153547\pi\) |
−0.998543 | + | 0.0539584i | \(0.982816\pi\) | |||||||
\(224\) | 1.85717 | + | 9.43515i | 0.124087 | + | 0.630412i | ||||
\(225\) | 23.5535 | − | 24.8647i | 1.57024 | − | 1.65765i | ||||
\(226\) | −8.89884 | + | 0.600960i | −0.591942 | + | 0.0399753i | ||||
\(227\) | −10.4606 | + | 3.90160i | −0.694294 | + | 0.258958i | −0.671740 | − | 0.740787i | \(-0.734453\pi\) |
−0.0225545 | + | 0.999746i | \(0.507180\pi\) | |||||||
\(228\) | 6.50150 | − | 3.48336i | 0.430572 | − | 0.230691i | ||||
\(229\) | 18.7187i | 1.23696i | 0.785799 | + | 0.618482i | \(0.212252\pi\) | ||||
−0.785799 | + | 0.618482i | \(0.787748\pi\) | |||||||
\(230\) | 7.82603 | + | 12.9905i | 0.516033 | + | 0.856569i | ||||
\(231\) | − | 17.4924i | − | 1.15091i | ||||||
\(232\) | 3.45496 | + | 12.3069i | 0.226829 | + | 0.807985i | ||||
\(233\) | 12.4271 | − | 4.63509i | 0.814130 | − | 0.303655i | 0.0923051 | − | 0.995731i | \(-0.470576\pi\) |
0.721825 | + | 0.692076i | \(0.243304\pi\) | |||||||
\(234\) | 2.19111 | + | 32.4453i | 0.143237 | + | 2.12102i | ||||
\(235\) | 9.46308 | − | 10.4440i | 0.617303 | − | 0.681293i | ||||
\(236\) | −12.4503 | + | 14.1400i | −0.810448 | + | 0.920438i | ||||
\(237\) | −7.16198 | + | 32.9231i | −0.465221 | + | 2.13858i | ||||
\(238\) | −15.4035 | − | 9.98584i | −0.998459 | − | 0.647286i | ||||
\(239\) | −0.262895 | − | 0.303397i | −0.0170053 | − | 0.0196251i | 0.747183 | − | 0.664618i | \(-0.231406\pi\) |
−0.764189 | + | 0.644993i | \(0.776860\pi\) | |||||||
\(240\) | −27.9173 | + | 2.93528i | −1.80205 | + | 0.189471i | ||||
\(241\) | 2.31799 | − | 16.1220i | 0.149315 | − | 1.03851i | −0.768030 | − | 0.640414i | \(-0.778763\pi\) |
0.917345 | − | 0.398093i | \(-0.130328\pi\) | |||||||
\(242\) | 0.145574 | + | 0.322141i | 0.00935785 | + | 0.0207080i | ||||
\(243\) | −17.8532 | + | 3.88372i | −1.14528 | + | 0.249141i | ||||
\(244\) | −20.5850 | + | 5.86717i | −1.31782 | + | 0.375607i | ||||
\(245\) | 3.40193 | − | 8.53808i | 0.217341 | − | 0.545478i | ||||
\(246\) | 2.05052 | + | 5.56503i | 0.130736 | + | 0.354813i | ||||
\(247\) | 1.89047 | + | 3.46215i | 0.120288 | + | 0.220291i | ||||
\(248\) | 0.256000 | − | 0.388102i | 0.0162560 | − | 0.0246445i | ||||
\(249\) | −8.07973 | − | 27.5170i | −0.512032 | − | 1.74382i | ||||
\(250\) | −10.3430 | + | 11.9592i | −0.654150 | + | 0.756365i | ||||
\(251\) | 2.74887 | − | 0.395228i | 0.173507 | − | 0.0249466i | −0.0550136 | − | 0.998486i | \(-0.517520\pi\) |
0.228521 | + | 0.973539i | \(0.426611\pi\) | |||||||
\(252\) | −7.96498 | − | 21.8840i | −0.501747 | − | 1.37857i | ||||
\(253\) | −5.53705 | + | 14.7171i | −0.348111 | + | 0.925254i | ||||
\(254\) | 12.2168 | + | 2.70843i | 0.766547 | + | 0.169942i | ||||
\(255\) | 33.0565 | − | 42.1766i | 2.07008 | − | 2.64120i | ||||
\(256\) | 13.1786 | + | 9.07329i | 0.823662 | + | 0.567081i | ||||
\(257\) | −13.5966 | + | 24.9003i | −0.848132 | + | 1.55324i | −0.0151856 | + | 0.999885i | \(0.504834\pi\) |
−0.832947 | + | 0.553353i | \(0.813348\pi\) | |||||||
\(258\) | 35.9662 | + | 5.31698i | 2.23916 | + | 0.331021i | ||||
\(259\) | 7.82148 | + | 2.29659i | 0.486003 | + | 0.142703i | ||||
\(260\) | −1.68830 | − | 14.9174i | −0.104704 | − | 0.925139i | ||||
\(261\) | −12.8600 | − | 28.1594i | −0.796013 | − | 1.74302i | ||||
\(262\) | 1.14364 | − | 3.83846i | 0.0706546 | − | 0.237141i | ||||
\(263\) | −25.2550 | + | 5.49389i | −1.55729 | + | 0.338768i | −0.907070 | − | 0.420979i | \(-0.861687\pi\) |
−0.650219 | + | 0.759747i | \(0.725323\pi\) | |||||||
\(264\) | −20.3337 | − | 20.8239i | −1.25145 | − | 1.28162i | ||||
\(265\) | −2.09021 | + | 12.5556i | −0.128401 | + | 0.771287i | ||||
\(266\) | −1.98959 | − | 2.00545i | −0.121990 | − | 0.122962i | ||||
\(267\) | 0.317211 | − | 4.43519i | 0.0194130 | − | 0.271429i | ||||
\(268\) | 17.3342 | + | 17.6116i | 1.05885 | + | 1.07580i | ||||
\(269\) | −13.2025 | − | 20.5435i | −0.804972 | − | 1.25256i | −0.964162 | − | 0.265313i | \(-0.914525\pi\) |
0.159190 | − | 0.987248i | \(-0.449112\pi\) | |||||||
\(270\) | 36.9298 | − | 9.80301i | 2.24747 | − | 0.596592i | ||||
\(271\) | −11.4097 | − | 9.88652i | −0.693087 | − | 0.600564i | 0.235413 | − | 0.971895i | \(-0.424356\pi\) |
−0.928500 | + | 0.371332i | \(0.878901\pi\) | |||||||
\(272\) | −29.9450 | + | 6.01780i | −1.81568 | + | 0.364883i | ||||
\(273\) | 16.7804 | − | 6.25876i | 1.01560 | − | 0.378798i | ||||
\(274\) | −16.1301 | − | 1.21803i | −0.974456 | − | 0.0735838i | ||||
\(275\) | −16.3775 | − | 0.726436i | −0.987602 | − | 0.0438058i | ||||
\(276\) | −0.324867 | + | 30.1012i | −0.0195547 | + | 1.81188i | ||||
\(277\) | 2.52566 | − | 2.52566i | 0.151752 | − | 0.151752i | −0.627148 | − | 0.778900i | \(-0.715778\pi\) |
0.778900 | + | 0.627148i | \(0.215778\pi\) | |||||||
\(278\) | 16.9703 | + | 19.7425i | 1.01781 | + | 1.18408i | ||||
\(279\) | −0.467742 | + | 1.02421i | −0.0280030 | + | 0.0613180i | ||||
\(280\) | 4.13047 | + | 9.92613i | 0.246843 | + | 0.593200i | ||||
\(281\) | −5.58962 | + | 6.45077i | −0.333449 | + | 0.384820i | −0.897570 | − | 0.440871i | \(-0.854670\pi\) |
0.564121 | + | 0.825692i | \(0.309215\pi\) | |||||||
\(282\) | 26.8726 | − | 7.77476i | 1.60024 | − | 0.462980i | ||||
\(283\) | 1.20051 | − | 5.51867i | 0.0713632 | − | 0.328051i | −0.927600 | − | 0.373575i | \(-0.878132\pi\) |
0.998963 | + | 0.0455235i | \(0.0144956\pi\) | |||||||
\(284\) | −0.146772 | + | 18.4855i | −0.00870929 | + | 1.09691i | ||||
\(285\) | 6.35041 | − | 5.26084i | 0.376166 | − | 0.311625i | ||||
\(286\) | 11.0501 | − | 10.9627i | 0.653404 | − | 0.648237i | ||||
\(287\) | 1.81842 | − | 1.36125i | 0.107338 | − | 0.0803520i | ||||
\(288\) | −34.9207 | − | 16.7932i | −2.05772 | − | 0.989550i | ||||
\(289\) | 22.3324 | − | 34.7500i | 1.31367 | − | 2.04412i | ||||
\(290\) | 6.51905 | + | 12.7180i | 0.382812 | + | 0.746824i | ||||
\(291\) | 12.1577 | − | 5.55222i | 0.712694 | − | 0.325477i | ||||
\(292\) | 8.81553 | − | 11.5833i | 0.515890 | − | 0.677863i | ||||
\(293\) | −1.45347 | − | 2.66184i | −0.0849129 | − | 0.155506i | 0.831772 | − | 0.555118i | \(-0.187327\pi\) |
−0.916685 | + | 0.399611i | \(0.869145\pi\) | |||||||
\(294\) | 14.6477 | − | 10.8747i | 0.854274 | − | 0.634225i | ||||
\(295\) | −10.5021 | + | 18.2591i | −0.611456 | + | 1.06309i | ||||
\(296\) | 11.9808 | − | 6.35795i | 0.696367 | − | 0.369548i | ||||
\(297\) | 31.7140 | + | 23.7408i | 1.84023 | + | 1.37758i | ||||
\(298\) | −9.42773 | − | 14.7987i | −0.546134 | − | 0.857265i | ||||
\(299\) | −16.0992 | − | 0.0459218i | −0.931042 | − | 0.00265573i | ||||
\(300\) | −29.9385 | + | 9.41656i | −1.72850 | + | 0.543665i | ||||
\(301\) | −1.98170 | − | 13.7830i | −0.114223 | − | 0.794439i | ||||
\(302\) | −7.99075 | + | 1.11654i | −0.459816 | + | 0.0642494i | ||||
\(303\) | 16.2415 | − | 29.7440i | 0.933048 | − | 1.70875i | ||||
\(304\) | −4.69972 | − | 0.0746345i | −0.269548 | − | 0.00428058i | ||||
\(305\) | −21.2530 | + | 11.0007i | −1.21694 | + | 0.629900i | ||||
\(306\) | 69.4089 | − | 25.5748i | 3.96784 | − | 1.46201i | ||||
\(307\) | −10.1906 | + | 27.3222i | −0.581610 | + | 1.55936i | 0.228787 | + | 0.973477i | \(0.426524\pi\) |
−0.810397 | + | 0.585881i | \(0.800749\pi\) | |||||||
\(308\) | −5.41976 | + | 9.74087i | −0.308819 | + | 0.555038i | ||||
\(309\) | −0.684302 | + | 1.06479i | −0.0389286 | + | 0.0605740i | ||||
\(310\) | 0.194318 | − | 0.482119i | 0.0110365 | − | 0.0273825i | ||||
\(311\) | −20.8672 | − | 3.00025i | −1.18327 | − | 0.170128i | −0.477540 | − | 0.878610i | \(-0.658471\pi\) |
−0.705729 | + | 0.708482i | \(0.749380\pi\) | |||||||
\(312\) | 12.7009 | − | 26.9569i | 0.719048 | − | 1.52613i | ||||
\(313\) | 1.44697 | − | 20.2313i | 0.0817876 | − | 1.14354i | −0.776413 | − | 0.630225i | \(-0.782963\pi\) |
0.858200 | − | 0.513315i | \(-0.171583\pi\) | |||||||
\(314\) | −4.01115 | + | 0.855909i | −0.226362 | + | 0.0483017i | ||||
\(315\) | −13.5879 | − | 22.2105i | −0.765594 | − | 1.25142i | ||||
\(316\) | 14.1890 | − | 16.1147i | 0.798194 | − | 0.906521i | ||||
\(317\) | −0.526551 | − | 7.36214i | −0.0295740 | − | 0.413499i | −0.990577 | − | 0.136960i | \(-0.956267\pi\) |
0.961003 | − | 0.276539i | \(-0.0891876\pi\) | |||||||
\(318\) | −16.6208 | + | 19.0282i | −0.932046 | + | 1.06705i | ||||
\(319\) | −6.15549 | + | 13.4786i | −0.344641 | + | 0.754659i | ||||
\(320\) | 16.4556 | + | 7.01522i | 0.919896 | + | 0.392163i | ||||
\(321\) | 22.6735 | 1.26551 | ||||||||
\(322\) | 11.0843 | − | 3.17266i | 0.617703 | − | 0.176806i | ||||
\(323\) | 6.34474 | − | 6.34474i | 0.353031 | − | 0.353031i | ||||
\(324\) | 33.2563 | + | 10.0524i | 1.84757 | + | 0.558468i | ||||
\(325\) | −5.16301 | − | 15.9709i | −0.286392 | − | 0.885904i | ||||
\(326\) | 2.16373 | + | 32.0400i | 0.119838 | + | 1.77453i | ||||
\(327\) | 12.2236 | − | 0.874249i | 0.675967 | − | 0.0483461i | ||||
\(328\) | 0.582383 | − | 3.73429i | 0.0321567 | − | 0.206192i | ||||
\(329\) | −5.79257 | − | 9.01342i | −0.319355 | − | 0.496926i | ||||
\(330\) | −26.9055 | − | 18.3019i | −1.48110 | − | 1.00748i | ||||
\(331\) | 2.38912 | − | 2.07019i | 0.131318 | − | 0.113788i | −0.586726 | − | 0.809786i | \(-0.699583\pi\) |
0.718044 | + | 0.695998i | \(0.245038\pi\) | |||||||
\(332\) | −4.02644 | + | 17.8266i | −0.220980 | + | 0.978364i | ||||
\(333\) | −26.2958 | + | 19.6848i | −1.44100 | + | 1.07872i | ||||
\(334\) | −5.95953 | + | 15.7864i | −0.326091 | + | 0.863795i | ||||
\(335\) | 22.9054 | + | 15.4482i | 1.25146 | + | 0.844026i | ||||
\(336\) | −3.37209 | + | 21.0723i | −0.183962 | + | 1.14959i | ||||
\(337\) | 10.6565 | + | 3.97468i | 0.580498 | + | 0.216515i | 0.622522 | − | 0.782602i | \(-0.286108\pi\) |
−0.0420242 | + | 0.999117i | \(0.513381\pi\) | |||||||
\(338\) | −2.22273 | − | 1.02577i | −0.120901 | − | 0.0557946i | ||||
\(339\) | −18.9917 | − | 5.57647i | −1.03149 | − | 0.302872i | ||||
\(340\) | −31.4758 | + | 13.2446i | −1.70702 | + | 0.718289i | ||||
\(341\) | 0.517116 | − | 0.151839i | 0.0280034 | − | 0.00822254i | ||||
\(342\) | 11.2737 | − | 1.57526i | 0.609611 | − | 0.0851802i | ||||
\(343\) | −15.1195 | − | 11.3183i | −0.816375 | − | 0.611130i | ||||
\(344\) | −18.3809 | − | 14.1045i | −0.991033 | − | 0.760462i | ||||
\(345\) | 6.32928 | + | 33.0557i | 0.340757 | + | 1.77966i | ||||
\(346\) | −9.66207 | − | 2.14206i | −0.519436 | − | 0.115158i | ||||
\(347\) | 18.8693 | − | 25.2064i | 1.01296 | − | 1.35315i | 0.0785638 | − | 0.996909i | \(-0.474967\pi\) |
0.934393 | − | 0.356243i | \(-0.115943\pi\) | |||||||
\(348\) | −2.24830 | + | 28.2782i | −0.120522 | + | 1.51587i | ||||
\(349\) | −9.31233 | − | 31.7149i | −0.498478 | − | 1.69766i | −0.696581 | − | 0.717478i | \(-0.745296\pi\) |
0.198104 | − | 0.980181i | \(-0.436522\pi\) | |||||||
\(350\) | 6.73050 | + | 9.95924i | 0.359760 | + | 0.532344i | ||||
\(351\) | −11.4273 | + | 38.9177i | −0.609942 | + | 2.07727i | ||||
\(352\) | 4.87113 | + | 17.8962i | 0.259632 | + | 0.953869i | ||||
\(353\) | 2.39978 | − | 6.43407i | 0.127728 | − | 0.342451i | −0.857308 | − | 0.514805i | \(-0.827864\pi\) |
0.985035 | + | 0.172354i | \(0.0551372\pi\) | |||||||
\(354\) | −36.7754 | + | 19.8918i | −1.95459 | + | 1.05724i | ||||
\(355\) | 3.94467 | + | 20.2882i | 0.209361 | + | 1.07678i | ||||
\(356\) | −1.55082 | + | 2.37152i | −0.0821935 | + | 0.125690i | ||||
\(357\) | −24.4137 | − | 32.6128i | −1.29211 | − | 1.72605i | ||||
\(358\) | 16.8755 | + | 0.0669930i | 0.891897 | + | 0.00354069i | ||||
\(359\) | −2.50984 | − | 2.89651i | −0.132464 | − | 0.152872i | 0.685642 | − | 0.727939i | \(-0.259521\pi\) |
−0.818106 | + | 0.575067i | \(0.804976\pi\) | |||||||
\(360\) | −41.9941 | − | 10.6456i | −2.21328 | − | 0.561073i | ||||
\(361\) | −14.8222 | + | 9.52565i | −0.780116 | + | 0.501350i | ||||
\(362\) | 7.43636 | − | 2.15148i | 0.390846 | − | 0.113079i | ||||
\(363\) | 0.0559661 | + | 0.782509i | 0.00293746 | + | 0.0410710i | ||||
\(364\) | −11.2836 | − | 1.71388i | −0.591421 | − | 0.0898319i | ||||
\(365\) | 7.08708 | − | 14.6503i | 0.370955 | − | 0.766833i | ||||
\(366\) | −47.3671 | − | 3.57681i | −2.47592 | − | 0.186963i | ||||
\(367\) | 8.44024 | + | 8.44024i | 0.440577 | + | 0.440577i | 0.892206 | − | 0.451629i | \(-0.149157\pi\) |
−0.451629 | + | 0.892206i | \(0.649157\pi\) | |||||||
\(368\) | 9.50734 | − | 16.6616i | 0.495604 | − | 0.868548i | ||||
\(369\) | 9.15302i | 0.476487i | ||||||||
\(370\) | 11.7159 | − | 9.62758i | 0.609081 | − | 0.500514i | ||||
\(371\) | 8.80205 | + | 4.01976i | 0.456979 | + | 0.208696i | ||||
\(372\) | 0.830865 | − | 0.611745i | 0.0430783 | − | 0.0317175i | ||||
\(373\) | 16.0036 | − | 1.14460i | 0.828634 | − | 0.0592651i | 0.349423 | − | 0.936965i | \(-0.386377\pi\) |
0.479211 | + | 0.877700i | \(0.340923\pi\) | |||||||
\(374\) | −31.0078 | − | 17.0917i | −1.60338 | − | 0.883791i | ||||
\(375\) | −30.7139 | + | 16.9674i | −1.58606 | + | 0.876190i | ||||
\(376\) | −17.3733 | − | 3.99660i | −0.895959 | − | 0.206109i | ||||
\(377\) | −15.1325 | − | 1.08230i | −0.779362 | − | 0.0557411i | ||||
\(378\) | 0.115312 | − | 29.0470i | 0.00593102 | − | 1.49402i | ||||
\(379\) | −4.01119 | + | 27.8984i | −0.206041 | + | 1.43305i | 0.579872 | + | 0.814708i | \(0.303103\pi\) |
−0.785912 | + | 0.618338i | \(0.787806\pi\) | |||||||
\(380\) | −5.16631 | + | 0.961993i | −0.265026 | + | 0.0493492i | ||||
\(381\) | 23.3616 | + | 15.0136i | 1.19685 | + | 0.769168i | ||||
\(382\) | −2.98740 | + | 10.0267i | −0.152849 | + | 0.513012i | ||||
\(383\) | −4.75499 | − | 1.77352i | −0.242969 | − | 0.0906226i | 0.225030 | − | 0.974352i | \(-0.427752\pi\) |
−0.467999 | + | 0.883729i | \(0.655025\pi\) | |||||||
\(384\) | 20.4809 | + | 29.0055i | 1.04516 | + | 1.48018i | ||||
\(385\) | −3.77534 | + | 11.8773i | −0.192409 | + | 0.605322i | ||||
\(386\) | 6.41958 | − | 4.76599i | 0.326748 | − | 0.242583i | ||||
\(387\) | 49.2468 | + | 26.8908i | 2.50335 | + | 1.36693i | ||||
\(388\) | −8.49044 | − | 0.675044i | −0.431037 | − | 0.0342702i | ||||
\(389\) | −29.6276 | + | 4.25980i | −1.50218 | + | 0.215981i | −0.843780 | − | 0.536689i | \(-0.819675\pi\) |
−0.658398 | + | 0.752670i | \(0.728766\pi\) | |||||||
\(390\) | 7.93016 | − | 32.3588i | 0.401559 | − | 1.63855i | ||||
\(391\) | 10.2170 | + | 35.1665i | 0.516693 | + | 1.77845i | ||||
\(392\) | −11.5262 | + | 1.51734i | −0.582160 | + | 0.0766372i | ||||
\(393\) | 5.32664 | − | 7.11556i | 0.268694 | − | 0.358933i | ||||
\(394\) | 23.4172 | + | 17.6753i | 1.17974 | + | 0.890471i | ||||
\(395\) | 11.9687 | − | 20.8090i | 0.602210 | − | 1.04701i | ||||
\(396\) | −18.3345 | − | 41.0055i | −0.921344 | − | 2.06060i | ||||
\(397\) | −7.84782 | + | 4.28523i | −0.393871 | + | 0.215070i | −0.663964 | − | 0.747764i | \(-0.731127\pi\) |
0.270093 | + | 0.962834i | \(0.412945\pi\) | |||||||
\(398\) | 6.27297 | − | 13.5928i | 0.314436 | − | 0.681347i | ||||
\(399\) | −2.60431 | − | 5.70264i | −0.130379 | − | 0.285489i | ||||
\(400\) | 19.5893 | + | 4.03228i | 0.979465 | + | 0.201614i | ||||
\(401\) | −0.0133574 | − | 0.00858430i | −0.000667038 | − | 0.000428679i | 0.540307 | − | 0.841468i | \(-0.318308\pi\) |
−0.540974 | + | 0.841039i | \(0.681944\pi\) | |||||||
\(402\) | 22.5830 | + | 49.9739i | 1.12634 | + | 2.49247i | ||||
\(403\) | 0.330683 | + | 0.441741i | 0.0164725 | + | 0.0220047i | ||||
\(404\) | −18.2601 | + | 11.5312i | −0.908472 | + | 0.573699i | ||||
\(405\) | 38.6733 | + | 3.62899i | 1.92169 | + | 0.180326i | ||||
\(406\) | 10.6255 | − | 2.26730i | 0.527335 | − | 0.112524i | ||||
\(407\) | 15.3633 | + | 3.34208i | 0.761530 | + | 0.165661i | ||||
\(408\) | −66.9736 | − | 10.4449i | −3.31569 | − | 0.517100i | ||||
\(409\) | 3.03234 | + | 2.62754i | 0.149939 | + | 0.129923i | 0.726600 | − | 0.687060i | \(-0.241099\pi\) |
−0.576661 | + | 0.816984i | \(0.695645\pi\) | |||||||
\(410\) | −0.191211 | − | 4.22121i | −0.00944322 | − | 0.208471i | ||||
\(411\) | −32.6542 | − | 14.9127i | −1.61071 | − | 0.735587i | ||||
\(412\) | 0.710975 | − | 0.380925i | 0.0350272 | − | 0.0187668i | ||||
\(413\) | 11.3231 | + | 11.3231i | 0.557176 | + | 0.557176i | ||||
\(414\) | −16.5320 | + | 43.4172i | −0.812505 | + | 2.13384i | ||||
\(415\) | −0.452823 | + | 20.4278i | −0.0222282 | + | 1.00276i | ||||
\(416\) | −15.4249 | + | 11.0761i | −0.756268 | + | 0.543052i | ||||
\(417\) | 20.1902 | + | 54.1320i | 0.988717 | + | 2.65085i | ||||
\(418\) | −4.10360 | − | 3.58441i | −0.200714 | − | 0.175319i | ||||
\(419\) | 11.3220 | − | 13.0663i | 0.553115 | − | 0.638328i | −0.408491 | − | 0.912762i | \(-0.633945\pi\) |
0.961606 | + | 0.274434i | \(0.0884904\pi\) | |||||||
\(420\) | 0.985036 | + | 23.8390i | 0.0480648 | + | 1.16322i | ||||
\(421\) | 5.29524 | − | 3.40304i | 0.258074 | − | 0.165854i | −0.405206 | − | 0.914225i | \(-0.632800\pi\) |
0.663280 | + | 0.748371i | \(0.269164\pi\) | |||||||
\(422\) | 14.1285 | − | 21.7937i | 0.687767 | − | 1.06090i | ||||
\(423\) | 43.0635 | + | 3.07997i | 2.09382 | + | 0.149753i | ||||
\(424\) | 15.1511 | − | 5.44644i | 0.735805 | − | 0.264503i | ||||
\(425\) | −31.5482 | + | 21.5034i | −1.53031 | + | 1.04307i | ||||
\(426\) | −14.4892 | + | 38.3809i | −0.702002 | + | 1.85956i | ||||
\(427\) | 3.86724 | + | 17.7774i | 0.187149 | + | 0.860309i | ||||
\(428\) | −12.6261 | − | 7.02506i | −0.610304 | − | 0.339569i | ||||
\(429\) | 31.4216 | − | 14.3498i | 1.51705 | − | 0.692814i | ||||
\(430\) | −23.2735 | − | 11.3727i | −1.12235 | − | 0.548442i | ||||
\(431\) | 0.536432 | − | 1.82692i | 0.0258390 | − | 0.0879996i | −0.945564 | − | 0.325436i | \(-0.894489\pi\) |
0.971403 | + | 0.237436i | \(0.0763071\pi\) | |||||||
\(432\) | −33.6280 | − | 34.7133i | −1.61793 | − | 1.67014i | ||||
\(433\) | 8.48132 | + | 4.63115i | 0.407586 | + | 0.222559i | 0.669944 | − | 0.742412i | \(-0.266318\pi\) |
−0.262357 | + | 0.964971i | \(0.584500\pi\) | |||||||
\(434\) | −0.315407 | − | 0.238071i | −0.0151400 | − | 0.0114278i | ||||
\(435\) | 3.81680 | + | 31.4853i | 0.183002 | + | 1.50960i | ||||
\(436\) | −7.07776 | − | 3.30047i | −0.338963 | − | 0.158064i | ||||
\(437\) | 0.385995 | + | 5.62225i | 0.0184647 | + | 0.268948i | ||||
\(438\) | 27.2447 | − | 17.3567i | 1.30180 | − | 0.829335i | ||||
\(439\) | −0.109471 | − | 0.761388i | −0.00522477 | − | 0.0363391i | 0.987042 | − | 0.160460i | \(-0.0512979\pi\) |
−0.992267 | + | 0.124121i | \(0.960389\pi\) | |||||||
\(440\) | 9.31216 | + | 18.5280i | 0.443940 | + | 0.883285i | ||||
\(441\) | 27.0144 | − | 7.93216i | 1.28640 | − | 0.377722i | ||||
\(442\) | 5.30145 | − | 35.8612i | 0.252164 | − | 1.70574i | ||||
\(443\) | 14.6261 | − | 7.98644i | 0.694906 | − | 0.379447i | −0.0926432 | − | 0.995699i | \(-0.529532\pi\) |
0.787549 | + | 0.616252i | \(0.211350\pi\) | |||||||
\(444\) | 29.8266 | − | 4.04698i | 1.41551 | − | 0.192061i | ||||
\(445\) | −1.17262 | + | 2.94302i | −0.0555877 | + | 0.139513i | ||||
\(446\) | 9.84430 | − | 5.32477i | 0.466141 | − | 0.252135i | ||||
\(447\) | −8.27724 | − | 38.0499i | −0.391500 | − | 1.79970i | ||||
\(448\) | 8.40676 | − | 10.6896i | 0.397182 | − | 0.505038i | ||||
\(449\) | 21.0176 | + | 3.02188i | 0.991883 | + | 0.142611i | 0.619104 | − | 0.785309i | \(-0.287496\pi\) |
0.372779 | + | 0.927920i | \(0.378405\pi\) | |||||||
\(450\) | −48.3795 | − | 2.33838i | −2.28063 | − | 0.110232i | ||||
\(451\) | 3.31104 | − | 2.86903i | 0.155911 | − | 0.135097i | ||||
\(452\) | 8.84802 | + | 8.98964i | 0.416176 | + | 0.422837i | ||||
\(453\) | −17.4963 | − | 3.80609i | −0.822048 | − | 0.178826i | ||||
\(454\) | 13.8275 | + | 7.62182i | 0.648959 | + | 0.357710i | ||||
\(455\) | −12.7447 | + | 0.628011i | −0.597480 | + | 0.0294416i | ||||
\(456\) | −9.72925 | − | 3.76141i | −0.455614 | − | 0.176144i | ||||
\(457\) | −1.25618 | − | 3.36794i | −0.0587615 | − | 0.157546i | 0.904252 | − | 0.427000i | \(-0.140429\pi\) |
−0.963013 | + | 0.269454i | \(0.913157\pi\) | |||||||
\(458\) | 20.0750 | − | 17.2560i | 0.938044 | − | 0.806322i | ||||
\(459\) | 92.2623 | 4.30643 | ||||||||
\(460\) | 6.71727 | − | 20.3686i | 0.313194 | − | 0.949689i | ||||
\(461\) | −1.94623 | −0.0906449 | −0.0453224 | − | 0.998972i | \(-0.514432\pi\) | ||||
−0.0453224 | + | 0.998972i | \(0.514432\pi\) | |||||||
\(462\) | −18.7598 | + | 16.1255i | −0.872787 | + | 0.750228i | ||||
\(463\) | −7.69410 | − | 20.6287i | −0.357575 | − | 0.958696i | −0.983834 | − | 0.179081i | \(-0.942688\pi\) |
0.626259 | − | 0.779615i | \(-0.284585\pi\) | |||||||
\(464\) | 10.0136 | − | 15.0505i | 0.464870 | − | 0.698704i | ||||
\(465\) | 0.774559 | − | 0.854850i | 0.0359193 | − | 0.0396427i | ||||
\(466\) | −16.4271 | − | 9.05470i | −0.760969 | − | 0.419451i | ||||
\(467\) | −4.86616 | − | 1.05857i | −0.225179 | − | 0.0489847i | 0.0985601 | − | 0.995131i | \(-0.468576\pi\) |
−0.323739 | + | 0.946146i | \(0.604940\pi\) | |||||||
\(468\) | 32.7764 | − | 32.2600i | 1.51509 | − | 1.49122i | ||||
\(469\) | 15.8734 | − | 13.7544i | 0.732965 | − | 0.635118i | ||||
\(470\) | −19.9245 | − | 0.520807i | −0.919047 | − | 0.0240230i | ||||
\(471\) | −9.00937 | − | 1.29535i | −0.415130 | − | 0.0596867i | ||||
\(472\) | 26.6421 | + | 0.317308i | 1.22630 | + | 0.0146053i | ||||
\(473\) | −5.70895 | − | 26.2436i | −0.262498 | − | 1.20668i | ||||
\(474\) | 41.9110 | − | 22.6696i | 1.92504 | − | 1.04125i | ||||
\(475\) | −5.44735 | + | 2.20151i | −0.249942 | + | 0.101012i | ||||
\(476\) | 3.49048 | + | 25.7252i | 0.159986 | + | 1.17911i | ||||
\(477\) | −34.2223 | + | 18.6868i | −1.56693 | + | 0.855608i | ||||
\(478\) | −0.0830279 | + | 0.561635i | −0.00379761 | + | 0.0256886i | ||||
\(479\) | −13.6638 | + | 4.01205i | −0.624315 | + | 0.183315i | −0.578563 | − | 0.815637i | \(-0.696386\pi\) |
−0.0457516 | + | 0.998953i | \(0.514568\pi\) | |||||||
\(480\) | 28.8839 | + | 27.2342i | 1.31836 | + | 1.24307i | ||||
\(481\) | 2.29093 | + | 15.9338i | 0.104457 | + | 0.726518i | ||||
\(482\) | −19.4270 | + | 12.3763i | −0.884876 | + | 0.563724i | ||||
\(483\) | 25.5158 | + | 1.89809i | 1.16101 | + | 0.0863663i | ||||
\(484\) | 0.211284 | − | 0.453092i | 0.00960380 | − | 0.0205951i | ||||
\(485\) | −9.45335 | + | 1.14598i | −0.429255 | + | 0.0520364i | ||||
\(486\) | 20.6233 | + | 15.5665i | 0.935491 | + | 0.706112i | ||||
\(487\) | −32.3313 | − | 17.6542i | −1.46507 | − | 0.799988i | −0.468557 | − | 0.883433i | \(-0.655226\pi\) |
−0.996512 | + | 0.0834453i | \(0.973408\pi\) | |||||||
\(488\) | 25.2688 | + | 16.6678i | 1.14387 | + | 0.754516i | ||||
\(489\) | −20.0779 | + | 68.3789i | −0.907952 | + | 3.09220i | ||||
\(490\) | −12.2929 | + | 4.22251i | −0.555335 | + | 0.190754i | ||||
\(491\) | 0.296197 | − | 0.135269i | 0.0133672 | − | 0.00610459i | −0.408720 | − | 0.912660i | \(-0.634025\pi\) |
0.422087 | + | 0.906555i | \(0.361298\pi\) | |||||||
\(492\) | 4.07797 | − | 7.32929i | 0.183849 | − | 0.330430i | ||||
\(493\) | 7.33549 | + | 33.7207i | 0.330374 | + | 1.51870i | ||||
\(494\) | 1.97025 | − | 5.21908i | 0.0886459 | − | 0.234818i | ||||
\(495\) | −29.1971 | − | 40.8599i | −1.31231 | − | 1.83652i | ||||
\(496\) | −0.652220 | + | 0.0832274i | −0.0292855 | + | 0.00373702i | ||||
\(497\) | 15.6724 | + | 1.12091i | 0.703003 | + | 0.0502798i | ||||
\(498\) | −22.0625 | + | 34.0321i | −0.988644 | + | 1.52501i | ||||
\(499\) | 30.4810 | − | 19.5889i | 1.36452 | − | 0.876922i | 0.365960 | − | 0.930631i | \(-0.380741\pi\) |
0.998557 | + | 0.0537089i | \(0.0171043\pi\) | |||||||
\(500\) | 22.3606 | + | 0.0677477i | 0.999995 | + | 0.00302977i | ||||
\(501\) | −24.5225 | + | 28.3004i | −1.09558 | + | 1.26437i | ||||
\(502\) | −2.95795 | − | 2.58371i | −0.132020 | − | 0.115316i | ||||
\(503\) | 7.71893 | + | 20.6953i | 0.344170 | + | 0.922756i | 0.987564 | + | 0.157220i | \(0.0502532\pi\) |
−0.643393 | + | 0.765536i | \(0.722474\pi\) | |||||||
\(504\) | −16.1271 | + | 28.7162i | −0.718359 | + | 1.27912i | ||||
\(505\) | −17.4475 | + | 16.6908i | −0.776404 | + | 0.742730i | ||||
\(506\) | 20.8878 | − | 7.62885i | 0.928578 | − | 0.339144i | ||||
\(507\) | −3.84148 | − | 3.84148i | −0.170606 | − | 0.170606i | ||||
\(508\) | −8.35749 | − | 15.5988i | −0.370804 | − | 0.692084i | ||||
\(509\) | −16.9527 | − | 7.74204i | −0.751415 | − | 0.343160i | 0.00261765 | − | 0.999997i | \(-0.499167\pi\) |
−0.754033 | + | 0.656837i | \(0.771894\pi\) | |||||||
\(510\) | −75.7063 | + | 3.42932i | −3.35233 | + | 0.151853i | ||||
\(511\) | −9.35035 | − | 8.10213i | −0.413635 | − | 0.358417i | ||||
\(512\) | −2.41812 | − | 22.4978i | −0.106867 | − | 0.994273i | ||||
\(513\) | 13.8736 | + | 3.01802i | 0.612535 | + | 0.133249i | ||||
\(514\) | 39.2388 | − | 8.37287i | 1.73075 | − | 0.369311i | ||||
\(515\) | 0.694452 | − | 0.575302i | 0.0306012 | − | 0.0253508i | ||||
\(516\) | −27.4537 | − | 43.4738i | −1.20858 | − | 1.91383i | ||||
\(517\) | −12.3842 | − | 16.5433i | −0.544656 | − | 0.727576i | ||||
\(518\) | −4.74733 | − | 10.5054i | −0.208586 | − | 0.461579i | ||||
\(519\) | −18.4764 | − | 11.8740i | −0.811022 | − | 0.521212i | ||||
\(520\) | −14.4420 | + | 15.5624i | −0.633322 | + | 0.682459i | ||||
\(521\) | 0.737472 | + | 1.61484i | 0.0323093 | + | 0.0707474i | 0.925099 | − | 0.379727i | \(-0.123982\pi\) |
−0.892789 | + | 0.450474i | \(0.851255\pi\) | |||||||
\(522\) | −18.3447 | + | 39.7509i | −0.802926 | + | 1.73985i | ||||
\(523\) | 3.68380 | − | 2.01151i | 0.161081 | − | 0.0879570i | −0.396686 | − | 0.917954i | \(-0.629840\pi\) |
0.557767 | + | 0.829997i | \(0.311658\pi\) | |||||||
\(524\) | −5.17087 | + | 2.31202i | −0.225891 | + | 0.101001i | ||||
\(525\) | 6.37382 | + | 25.9029i | 0.278176 | + | 1.13049i | ||||
\(526\) | 29.1736 | + | 22.0203i | 1.27203 | + | 0.960133i | ||||
\(527\) | 0.752196 | − | 1.00482i | 0.0327662 | − | 0.0437705i | ||||
\(528\) | −3.58789 | + | 41.0038i | −0.156143 | + | 1.78446i | ||||
\(529\) | −20.8667 | − | 9.67374i | −0.907247 | − | 0.420598i | ||||
\(530\) | 15.3923 | − | 9.33291i | 0.668599 | − | 0.405396i | ||||
\(531\) | −63.8696 | + | 9.18306i | −2.77170 | + | 0.398511i | ||||
\(532\) | −0.316635 | + | 3.98251i | −0.0137279 | + | 0.172664i | ||||
\(533\) | 3.93695 | + | 2.14974i | 0.170528 | + | 0.0931155i | ||||
\(534\) | −5.04898 | + | 3.74844i | −0.218491 | + | 0.162211i | ||||
\(535\) | −15.3953 | − | 4.89358i | −0.665596 | − | 0.211568i | ||||
\(536\) | 2.90804 | − | 34.8257i | 0.125608 | − | 1.50424i | ||||
\(537\) | 35.0894 | + | 13.0877i | 1.51422 | + | 0.564775i | ||||
\(538\) | −9.86119 | + | 33.0975i | −0.425146 | + | 1.42693i | ||||
\(539\) | −11.3371 | − | 7.28593i | −0.488325 | − | 0.313827i | ||||
\(540\) | −44.5575 | − | 30.5686i | −1.91745 | − | 1.31546i | ||||
\(541\) | 1.26860 | − | 8.82329i | 0.0545413 | − | 0.379343i | −0.944208 | − | 0.329349i | \(-0.893171\pi\) |
0.998750 | − | 0.0499939i | \(-0.0159202\pi\) | |||||||
\(542\) | −0.0847578 | + | 21.3504i | −0.00364066 | + | 0.917079i | ||||
\(543\) | 17.1360 | + | 1.22559i | 0.735374 | + | 0.0525950i | ||||
\(544\) | 34.0590 | + | 26.5672i | 1.46027 | + | 1.13906i | ||||
\(545\) | −8.48849 | − | 2.04458i | −0.363607 | − | 0.0875803i | ||||
\(546\) | −22.1815 | − | 12.2266i | −0.949280 | − | 0.523249i | ||||
\(547\) | 1.04266 | − | 0.0745723i | 0.0445808 | − | 0.00318848i | −0.0490310 | − | 0.998797i | \(-0.515613\pi\) |
0.0936118 | + | 0.995609i | \(0.470159\pi\) | |||||||
\(548\) | 13.5635 | + | 18.4218i | 0.579403 | + | 0.786938i | ||||
\(549\) | −66.6852 | − | 30.4541i | −2.84605 | − | 1.29975i | ||||
\(550\) | 14.3188 | + | 18.2339i | 0.610554 | + | 0.777496i | ||||
\(551\) | 5.31058i | 0.226238i | ||||||||
\(552\) | 32.5818 | − | 27.4008i | 1.38677 | − | 1.16625i | ||||
\(553\) | −12.9044 | − | 12.9044i | −0.548751 | − | 0.548751i | ||||
\(554\) | −5.03698 | − | 0.380356i | −0.214001 | − | 0.0161598i | ||||
\(555\) | 31.7838 | − | 11.0587i | 1.34915 | − | 0.469418i | ||||
\(556\) | 5.52882 | − | 36.3998i | 0.234474 | − | 1.54370i | ||||
\(557\) | −3.34065 | − | 46.7085i | −0.141548 | − | 1.97910i | −0.196077 | − | 0.980588i | \(-0.562820\pi\) |
0.0545293 | − | 0.998512i | \(-0.482634\pi\) | |||||||
\(558\) | 1.52962 | − | 0.442549i | 0.0647540 | − | 0.0187346i | ||||
\(559\) | 23.1328 | − | 14.8666i | 0.978414 | − | 0.628788i | ||||
\(560\) | 6.83764 | − | 13.5803i | 0.288943 | − | 0.573872i | ||||
\(561\) | −51.4554 | − | 59.3827i | −2.17245 | − | 2.50714i | ||||
\(562\) | 12.0710 | + | 0.0479202i | 0.509186 | + | 0.00202139i | ||||
\(563\) | −10.7885 | − | 14.4117i | −0.454680 | − | 0.607382i | 0.513361 | − | 0.858173i | \(-0.328400\pi\) |
−0.968041 | + | 0.250791i | \(0.919309\pi\) | |||||||
\(564\) | −33.1110 | − | 21.6525i | −1.39422 | − | 0.911735i | ||||
\(565\) | 11.6918 | + | 7.88535i | 0.491877 | + | 0.331739i | ||||
\(566\) | −7.02526 | + | 3.79996i | −0.295294 | + | 0.159724i | ||||
\(567\) | 10.3195 | − | 27.6678i | 0.433380 | − | 1.16194i | ||||
\(568\) | 19.9603 | − | 16.8837i | 0.837514 | − | 0.708425i | ||||
\(569\) | 6.78455 | − | 23.1061i | 0.284423 | − | 0.968657i | −0.686071 | − | 0.727534i | \(-0.740666\pi\) |
0.970495 | − | 0.241122i | \(-0.0775156\pi\) | |||||||
\(570\) | −11.4962 | − | 1.96078i | −0.481524 | − | 0.0821280i | ||||
\(571\) | 0.253555 | + | 0.863529i | 0.0106109 | + | 0.0361376i | 0.964628 | − | 0.263614i | \(-0.0849145\pi\) |
−0.954017 | + | 0.299751i | \(0.903096\pi\) | |||||||
\(572\) | −21.9437 | − | 1.74466i | −0.917511 | − | 0.0729480i | ||||
\(573\) | −13.9141 | + | 18.5871i | −0.581271 | + | 0.776487i | ||||
\(574\) | −3.13621 | − | 0.695292i | −0.130903 | − | 0.0290209i | ||||
\(575\) | 2.83676 | − | 23.8108i | 0.118301 | − | 0.992978i | ||||
\(576\) | 14.1820 | + | 52.9321i | 0.590918 | + | 2.20550i | ||||
\(577\) | −37.5840 | − | 28.1350i | −1.56464 | − | 1.17128i | −0.909450 | − | 0.415813i | \(-0.863497\pi\) |
−0.655191 | − | 0.755463i | \(-0.727412\pi\) | |||||||
\(578\) | −57.8554 | + | 8.08406i | −2.40647 | + | 0.336252i | ||||
\(579\) | 17.0247 | − | 4.99891i | 0.707523 | − | 0.207748i | ||||
\(580\) | 7.62983 | − | 18.7156i | 0.316811 | − | 0.777124i | ||||
\(581\) | 14.9044 | + | 4.37632i | 0.618338 | + | 0.181560i | ||||
\(582\) | −17.1622 | − | 7.92021i | −0.711397 | − | 0.328303i | ||||
\(583\) | 17.4868 | + | 6.52225i | 0.724231 | + | 0.270124i | ||||
\(584\) | −20.5494 | + | 1.22393i | −0.850338 | + | 0.0506467i | ||||
\(585\) | 28.7501 | − | 42.6284i | 1.18867 | − | 1.76247i | ||||
\(586\) | −1.51481 | + | 4.01264i | −0.0625763 | + | 0.165761i | ||||
\(587\) | −14.9587 | + | 11.1980i | −0.617413 | + | 0.462189i | −0.861634 | − | 0.507530i | \(-0.830559\pi\) |
0.244221 | + | 0.969720i | \(0.421468\pi\) | |||||||
\(588\) | −25.1659 | − | 5.68413i | −1.03782 | − | 0.234410i | ||||
\(589\) | 0.145978 | − | 0.126490i | 0.00601490 | − | 0.00521194i | ||||
\(590\) | 29.2636 | − | 5.56932i | 1.20477 | − | 0.229285i | ||||
\(591\) | 35.2010 | + | 54.7739i | 1.44798 | + | 2.25310i | ||||
\(592\) | −17.8633 | − | 6.98772i | −0.734175 | − | 0.287194i | ||||
\(593\) | 19.5092 | − | 1.39532i | 0.801146 | − | 0.0572991i | 0.335240 | − | 0.942133i | \(-0.391183\pi\) |
0.465907 | + | 0.884834i | \(0.345728\pi\) | |||||||
\(594\) | −3.77491 | − | 55.8977i | −0.154886 | − | 2.29351i | ||||
\(595\) | 9.53808 | + | 27.4132i | 0.391023 | + | 1.12383i | ||||
\(596\) | −7.17991 | + | 23.7532i | −0.294101 | + | 0.972970i | ||||
\(597\) | 23.4921 | − | 23.4921i | 0.961466 | − | 0.961466i | ||||
\(598\) | 14.7920 | + | 17.3081i | 0.604891 | + | 0.707780i | ||||
\(599\) | 44.4078 | 1.81445 | 0.907227 | − | 0.420642i | \(-0.138195\pi\) | ||||
0.907227 | + | 0.420642i | \(0.138195\pi\) | |||||||
\(600\) | 37.6981 | + | 23.4271i | 1.53902 | + | 0.956407i | ||||
\(601\) | −11.5921 | + | 25.3832i | −0.472853 | + | 1.03540i | 0.511514 | + | 0.859275i | \(0.329085\pi\) |
−0.984367 | + | 0.176128i | \(0.943643\pi\) | |||||||
\(602\) | −12.9549 | + | 14.8313i | −0.528001 | + | 0.604480i | ||||
\(603\) | 6.03775 | + | 84.4187i | 0.245876 | + | 3.43780i | ||||
\(604\) | 8.56381 | + | 7.54046i | 0.348456 | + | 0.306817i | ||||
\(605\) | 0.130886 | − | 0.543401i | 0.00532129 | − | 0.0220924i | ||||
\(606\) | −46.8716 | + | 10.0016i | −1.90403 | + | 0.406287i | ||||
\(607\) | −0.679398 | + | 9.49923i | −0.0275759 | + | 0.385562i | 0.964857 | + | 0.262775i | \(0.0846377\pi\) |
−0.992433 | + | 0.122787i | \(0.960817\pi\) | |||||||
\(608\) | 4.25246 | + | 5.10906i | 0.172460 | + | 0.207200i | ||||
\(609\) | 23.8658 | + | 3.43138i | 0.967090 | + | 0.139046i | ||||
\(610\) | 31.3902 | + | 12.6518i | 1.27095 | + | 0.512256i | ||||
\(611\) | 11.4390 | − | 17.7994i | 0.462770 | − | 0.720085i | ||||
\(612\) | −91.4133 | − | 50.8618i | −3.69517 | − | 2.05597i | ||||
\(613\) | 11.7086 | − | 31.3921i | 0.472908 | − | 1.26791i | −0.453454 | − | 0.891280i | \(-0.649808\pi\) |
0.926362 | − | 0.376635i | \(-0.122919\pi\) | |||||||
\(614\) | 38.6963 | − | 14.2582i | 1.56165 | − | 0.575415i | ||||
\(615\) | 2.84067 | − | 8.93678i | 0.114547 | − | 0.360366i | ||||
\(616\) | 15.4430 | − | 3.16728i | 0.622215 | − | 0.127613i | ||||
\(617\) | −6.12209 | + | 11.2118i | −0.246466 | + | 0.451369i | −0.971400 | − | 0.237449i | \(-0.923689\pi\) |
0.724934 | + | 0.688819i | \(0.241870\pi\) | |||||||
\(618\) | 1.77278 | − | 0.247708i | 0.0713117 | − | 0.00996429i | ||||
\(619\) | 0.0497499 | + | 0.346018i | 0.00199962 | + | 0.0139076i | 0.990797 | − | 0.135358i | \(-0.0432183\pi\) |
−0.988797 | + | 0.149265i | \(0.952309\pi\) | |||||||
\(620\) | −0.696188 | + | 0.236050i | −0.0279596 | + | 0.00947999i | ||||
\(621\) | −38.0716 | + | 43.6845i | −1.52776 | + | 1.75300i | ||||
\(622\) | 16.0190 | + | 25.1450i | 0.642305 | + | 1.00822i | ||||
\(623\) | 1.92804 | + | 1.44331i | 0.0772453 | + | 0.0578251i | ||||
\(624\) | −40.6186 | + | 11.2293i | −1.62605 | + | 0.449532i | ||||
\(625\) | 24.5167 | − | 4.89188i | 0.980669 | − | 0.195675i | ||||
\(626\) | −23.0311 | + | 17.0987i | −0.920510 | + | 0.683400i | ||||
\(627\) | −5.79494 | − | 10.6126i | −0.231427 | − | 0.423828i | ||||
\(628\) | 4.61565 | + | 3.51276i | 0.184185 | + | 0.140174i | ||||
\(629\) | 33.3079 | − | 15.2112i | 1.32807 | − | 0.606510i | ||||
\(630\) | −11.2937 | + | 35.0476i | −0.449951 | + | 1.39633i | ||||
\(631\) | 18.5938 | − | 28.9325i | 0.740208 | − | 1.15179i | −0.243129 | − | 0.969994i | \(-0.578174\pi\) |
0.983337 | − | 0.181792i | \(-0.0581898\pi\) | |||||||
\(632\) | −30.3626 | − | 0.361620i | −1.20776 | − | 0.0143845i | ||||
\(633\) | 46.1426 | − | 34.5419i | 1.83400 | − | 1.37292i | ||||
\(634\) | −7.41019 | + | 7.35159i | −0.294296 | + | 0.291969i | ||||
\(635\) | −12.6221 | − | 15.2363i | −0.500893 | − | 0.604633i | ||||
\(636\) | 35.7291 | + | 0.283682i | 1.41675 | + | 0.0112487i | ||||
\(637\) | 2.93296 | − | 13.4826i | 0.116208 | − | 0.534200i | ||||
\(638\) | 20.1298 | − | 5.82394i | 0.796946 | − | 0.230572i | ||||
\(639\) | −41.4617 | + | 47.8494i | −1.64020 | + | 1.89289i | ||||
\(640\) | −7.64626 | − | 24.1150i | −0.302245 | − | 0.953230i | ||||
\(641\) | 18.3941 | − | 40.2775i | 0.726523 | − | 1.59086i | −0.0780070 | − | 0.996953i | \(-0.524856\pi\) |
0.804530 | − | 0.593911i | \(-0.202417\pi\) | |||||||
\(642\) | −20.9019 | − | 24.3164i | −0.824931 | − | 0.959692i | ||||
\(643\) | −29.5905 | + | 29.5905i | −1.16693 | + | 1.16693i | −0.184010 | + | 0.982924i | \(0.558908\pi\) |
−0.982924 | + | 0.184010i | \(0.941092\pi\) | |||||||
\(644\) | −13.6207 | − | 8.96268i | −0.536732 | − | 0.353179i | ||||
\(645\) | −39.7377 | − | 41.5393i | −1.56467 | − | 1.63561i | ||||
\(646\) | −12.6535 | − | 0.955496i | −0.497843 | − | 0.0375935i | ||||
\(647\) | −15.7810 | + | 5.88601i | −0.620415 | + | 0.231403i | −0.639962 | − | 0.768406i | \(-0.721050\pi\) |
0.0195476 | + | 0.999809i | \(0.493777\pi\) | |||||||
\(648\) | −19.8770 | − | 44.9330i | −0.780840 | − | 1.76514i | ||||
\(649\) | 23.3420 | + | 20.2259i | 0.916252 | + | 0.793937i | ||||
\(650\) | −12.3685 | + | 20.2601i | −0.485133 | + | 0.794665i | ||||
\(651\) | −0.474126 | − | 0.737754i | −0.0185825 | − | 0.0289149i | ||||
\(652\) | 32.3669 | − | 31.8570i | 1.26758 | − | 1.24761i | ||||
\(653\) | −1.16547 | + | 16.2954i | −0.0456083 | + | 0.637687i | 0.922315 | + | 0.386440i | \(0.126295\pi\) |
−0.967923 | + | 0.251247i | \(0.919159\pi\) | |||||||
\(654\) | −12.2061 | − | 12.3034i | −0.477295 | − | 0.481100i | ||||
\(655\) | −5.15252 | + | 3.68182i | −0.201326 | + | 0.143860i | ||||
\(656\) | −4.54176 | + | 2.81792i | −0.177326 | + | 0.110021i | ||||
\(657\) | 48.7152 | − | 10.5974i | 1.90056 | − | 0.413442i | ||||
\(658\) | −4.32657 | + | 14.5214i | −0.168667 | + | 0.566104i | ||||
\(659\) | −14.7993 | − | 32.4059i | −0.576497 | − | 1.26235i | −0.943265 | − | 0.332041i | \(-0.892263\pi\) |
0.366768 | − | 0.930313i | \(-0.380464\pi\) | |||||||
\(660\) | 5.17520 | + | 45.7269i | 0.201444 | + | 1.77992i | ||||
\(661\) | 30.3061 | + | 8.89868i | 1.17877 | + | 0.346119i | 0.811700 | − | 0.584074i | \(-0.198542\pi\) |
0.367071 | + | 0.930193i | \(0.380360\pi\) | |||||||
\(662\) | −4.42264 | − | 0.653809i | −0.171891 | − | 0.0254110i | ||||
\(663\) | 38.5550 | − | 70.6082i | 1.49735 | − | 2.74220i | ||||
\(664\) | 22.8302 | − | 12.1155i | 0.885983 | − | 0.470173i | ||||
\(665\) | 0.537532 | + | 4.43417i | 0.0208446 | + | 0.171950i | ||||
\(666\) | 45.3522 | + | 10.0545i | 1.75736 | + | 0.389604i | ||||
\(667\) | −18.9931 | − | 10.4415i | −0.735416 | − | 0.404295i | ||||
\(668\) | 22.4242 | − | 8.16157i | 0.867617 | − | 0.315781i | ||||
\(669\) | 24.5850 | − | 3.53478i | 0.950509 | − | 0.136663i | ||||
\(670\) | −4.54804 | − | 38.8062i | −0.175706 | − | 1.49922i | ||||
\(671\) | 9.88604 | + | 33.6688i | 0.381646 | + | 1.29977i | ||||
\(672\) | 25.7078 | − | 15.8094i | 0.991701 | − | 0.609860i | ||||
\(673\) | −14.1675 | − | 25.9458i | −0.546117 | − | 1.00014i | −0.994343 | − | 0.106218i | \(-0.966126\pi\) |
0.448226 | − | 0.893920i | \(-0.352056\pi\) | |||||||
\(674\) | −5.56117 | − | 15.0928i | −0.214208 | − | 0.581353i | ||||
\(675\) | −55.6131 | − | 23.5998i | −2.14055 | − | 0.908357i | ||||
\(676\) | 0.948957 | + | 3.32941i | 0.0364983 | + | 0.128054i | ||||
\(677\) | −43.1010 | + | 9.37605i | −1.65651 | + | 0.360351i | −0.941040 | − | 0.338297i | \(-0.890149\pi\) |
−0.715466 | + | 0.698647i | \(0.753786\pi\) | |||||||
\(678\) | 11.5272 | + | 25.5086i | 0.442700 | + | 0.979650i | ||||
\(679\) | −1.03026 | + | 7.16561i | −0.0395377 | + | 0.274991i | ||||
\(680\) | 43.2207 | + | 21.5469i | 1.65744 | + | 0.826284i | ||||
\(681\) | 22.9459 | + | 26.4809i | 0.879288 | + | 1.01475i | ||||
\(682\) | −0.639551 | − | 0.414611i | −0.0244897 | − | 0.0158763i | ||||
\(683\) | −4.60974 | + | 21.1906i | −0.176387 | + | 0.810837i | 0.800880 | + | 0.598825i | \(0.204365\pi\) |
−0.977267 | + | 0.212012i | \(0.931998\pi\) | |||||||
\(684\) | −12.0822 | − | 10.6384i | −0.461974 | − | 0.406770i | ||||
\(685\) | 18.9536 | + | 17.1734i | 0.724178 | + | 0.656160i | ||||
\(686\) | 1.79967 | + | 26.6489i | 0.0687116 | + | 1.01746i | ||||
\(687\) | 55.0436 | − | 20.5302i | 2.10004 | − | 0.783276i | ||||
\(688\) | 1.81823 | + | 32.7152i | 0.0693195 | + | 1.24725i | ||||
\(689\) | 19.1088i | 0.727986i | ||||||||
\(690\) | 29.6161 | − | 37.2607i | 1.12747 | − | 1.41849i | ||||
\(691\) | 22.0878i | 0.840258i | 0.907464 | + | 0.420129i | \(0.138015\pi\) | ||||
−0.907464 | + | 0.420129i | \(0.861985\pi\) | |||||||
\(692\) | 6.60983 | + | 12.3369i | 0.251268 | + | 0.468977i | ||||
\(693\) | −35.7711 | + | 13.3419i | −1.35883 | + | 0.506818i | ||||
\(694\) | −44.4278 | + | 3.00031i | −1.68646 | + | 0.113890i | ||||
\(695\) | −2.02590 | − | 41.1131i | −0.0768469 | − | 1.55951i | ||||
\(696\) | 32.3999 | − | 23.6574i | 1.22811 | − | 0.896733i | ||||
\(697\) | 2.16888 | − | 9.97019i | 0.0821522 | − | 0.377648i | ||||
\(698\) | −25.4282 | + | 39.2239i | −0.962473 | + | 1.48465i | ||||
\(699\) | −27.2596 | − | 31.4593i | −1.03105 | − | 1.18990i | ||||
\(700\) | 4.47628 | − | 16.3992i | 0.169188 | − | 0.619833i | ||||
\(701\) | 3.17858 | − | 22.1075i | 0.120053 | − | 0.834988i | −0.837439 | − | 0.546530i | \(-0.815948\pi\) |
0.957493 | − | 0.288458i | \(-0.0931425\pi\) | |||||||
\(702\) | 52.2720 | − | 23.6215i | 1.97288 | − | 0.891535i | ||||
\(703\) | 5.50613 | − | 1.19778i | 0.207667 | − | 0.0451753i | ||||
\(704\) | 14.7024 | − | 21.7219i | 0.554118 | − | 0.818675i | ||||
\(705\) | −41.0903 | − | 16.3721i | −1.54755 | − | 0.616609i | ||||
\(706\) | −9.11255 | + | 3.35766i | −0.342955 | + | 0.126367i | ||||
\(707\) | 8.79706 | + | 16.1106i | 0.330847 | + | 0.605902i | ||||
\(708\) | 55.2350 | + | 21.1026i | 2.07586 | + | 0.793086i | ||||
\(709\) | 12.6311 | + | 43.0175i | 0.474371 | + | 1.61556i | 0.754988 | + | 0.655738i | \(0.227643\pi\) |
−0.280618 | + | 0.959820i | \(0.590539\pi\) | |||||||
\(710\) | 18.1218 | − | 22.9334i | 0.680099 | − | 0.860675i | ||||
\(711\) | 72.7889 | − | 10.4655i | 2.72980 | − | 0.392485i | ||||
\(712\) | 3.97300 | − | 0.523017i | 0.148895 | − | 0.0196009i | ||||
\(713\) | 0.165373 | + | 0.770784i | 0.00619325 | + | 0.0288661i | ||||
\(714\) | −12.4699 | + | 56.2472i | −0.466674 | + | 2.10500i | ||||
\(715\) | −24.4323 | + | 2.96181i | −0.913717 | + | 0.110765i | ||||
\(716\) | −15.4850 | − | 18.1600i | −0.578703 | − | 0.678672i | ||||
\(717\) | −0.603824 | + | 1.10582i | −0.0225502 | + | 0.0412976i | ||||
\(718\) | −0.792660 | + | 5.36188i | −0.0295818 | + | 0.200104i | ||||
\(719\) | 37.2146 | + | 10.9272i | 1.38787 | + | 0.407516i | 0.888502 | − | 0.458873i | \(-0.151747\pi\) |
0.499370 | + | 0.866389i | \(0.333565\pi\) | |||||||
\(720\) | 27.2958 | + | 54.8508i | 1.01726 | + | 2.04417i | ||||
\(721\) | −0.284796 | − | 0.623616i | −0.0106063 | − | 0.0232247i | ||||
\(722\) | 23.8799 | + | 7.11487i | 0.888718 | + | 0.264788i | ||||
\(723\) | −49.9501 | + | 10.8660i | −1.85766 | + | 0.404110i | ||||
\(724\) | −9.16268 | − | 5.99182i | −0.340528 | − | 0.222684i | ||||
\(725\) | 4.20380 | − | 22.2022i | 0.156125 | − | 0.824570i | ||||
\(726\) | 0.787616 | − | 0.781387i | 0.0292312 | − | 0.0290000i | ||||
\(727\) | 0.790253 | − | 11.0492i | 0.0293089 | − | 0.409791i | −0.961526 | − | 0.274713i | \(-0.911417\pi\) |
0.990835 | − | 0.135078i | \(-0.0431284\pi\) | |||||||
\(728\) | 8.56386 | + | 13.6812i | 0.317398 | + | 0.507058i | ||||
\(729\) | 2.82653 | + | 4.39816i | 0.104686 | + | 0.162895i | ||||
\(730\) | −22.2452 | + | 5.90499i | −0.823332 | + | 0.218553i | ||||
\(731\) | −47.2714 | − | 40.9609i | −1.74840 | − | 1.51499i | ||||
\(732\) | 39.8299 | + | 54.0966i | 1.47216 | + | 1.99947i | ||||
\(733\) | −7.86545 | + | 2.93366i | −0.290517 | + | 0.108357i | −0.490497 | − | 0.871443i | \(-0.663185\pi\) |
0.199980 | + | 0.979800i | \(0.435912\pi\) | |||||||
\(734\) | 1.27107 | − | 16.8325i | 0.0469161 | − | 0.621301i | ||||
\(735\) | −28.8380 | − | 0.639251i | −1.06371 | − | 0.0235791i | ||||
\(736\) | −26.6334 | + | 5.16352i | −0.981720 | + | 0.190330i | ||||
\(737\) | 28.6453 | − | 28.6453i | 1.05516 | − | 1.05516i | ||||
\(738\) | 9.81625 | − | 8.43783i | 0.361341 | − | 0.310601i | ||||
\(739\) | −14.7838 | + | 32.3719i | −0.543829 | + | 1.19082i | 0.415775 | + | 0.909467i | \(0.363510\pi\) |
−0.959604 | + | 0.281353i | \(0.909217\pi\) | |||||||
\(740\) | −21.1256 | − | 3.68952i | −0.776594 | − | 0.135629i | ||||
\(741\) | 8.10726 | − | 9.35628i | 0.297828 | − | 0.343711i | ||||
\(742\) | −3.80325 | − | 13.1455i | −0.139622 | − | 0.482587i | ||||
\(743\) | −0.472513 | + | 2.17211i | −0.0173348 | + | 0.0796869i | −0.985002 | − | 0.172545i | \(-0.944801\pi\) |
0.967667 | + | 0.252232i | \(0.0811646\pi\) | |||||||
\(744\) | −1.42201 | − | 0.327124i | −0.0521336 | − | 0.0119930i | ||||
\(745\) | −2.59199 | + | 27.6223i | −0.0949633 | + | 1.01200i | ||||
\(746\) | −15.9806 | − | 16.1080i | −0.585093 | − | 0.589757i | ||||
\(747\) | −50.1084 | + | 37.5107i | −1.83337 | + | 1.37244i | ||||
\(748\) | 10.2548 | + | 49.0108i | 0.374953 | + | 1.79201i | ||||
\(749\) | −6.63957 | + | 10.3314i | −0.242605 | + | 0.377500i | ||||
\(750\) | 46.5108 | + | 17.2978i | 1.69833 | + | 0.631628i | ||||
\(751\) | −23.8098 | + | 10.8736i | −0.868832 | + | 0.396782i | −0.799396 | − | 0.600804i | \(-0.794847\pi\) |
−0.0694356 | + | 0.997586i | \(0.522120\pi\) | |||||||
\(752\) | 11.7296 | + | 22.3165i | 0.427735 | + | 0.813798i | ||||
\(753\) | −4.17709 | − | 7.64977i | −0.152222 | − | 0.278773i | ||||
\(754\) | 12.7893 | + | 17.2267i | 0.465760 | + | 0.627359i | ||||
\(755\) | 11.0585 | + | 6.36052i | 0.402460 | + | 0.231483i | ||||
\(756\) | −31.2581 | + | 26.6537i | −1.13685 | + | 0.969386i | ||||
\(757\) | 9.81319 | + | 7.34606i | 0.356666 | + | 0.266997i | 0.762552 | − | 0.646927i | \(-0.223946\pi\) |
−0.405886 | + | 0.913924i | \(0.633037\pi\) | |||||||
\(758\) | 33.6177 | − | 21.4167i | 1.22105 | − | 0.777889i | ||||
\(759\) | 49.3495 | + | 0.140766i | 1.79127 | + | 0.00510947i | ||||
\(760\) | 5.79433 | + | 4.65383i | 0.210182 | + | 0.168812i | ||||
\(761\) | 2.79900 | + | 19.4675i | 0.101464 | + | 0.705696i | 0.975526 | + | 0.219883i | \(0.0705675\pi\) |
−0.874063 | + | 0.485813i | \(0.838523\pi\) | |||||||
\(762\) | −5.43472 | − | 38.8948i | −0.196879 | − | 1.40901i | ||||
\(763\) | −3.18113 | + | 5.82580i | −0.115164 | + | 0.210908i | ||||
\(764\) | 13.5072 | − | 6.03940i | 0.488674 | − | 0.218498i | ||||
\(765\) | −111.462 | − | 35.4297i | −4.02993 | − | 1.28096i | ||||
\(766\) | 2.48142 | + | 6.73448i | 0.0896574 | + | 0.243327i | ||||
\(767\) | −11.0510 | + | 29.6287i | −0.399027 | + | 1.06983i | ||||
\(768\) | 12.2267 | − | 48.7040i | 0.441193 | − | 1.75745i | ||||
\(769\) | −4.94436 | + | 7.69358i | −0.178298 | + | 0.277438i | −0.918887 | − | 0.394521i | \(-0.870910\pi\) |
0.740589 | + | 0.671959i | \(0.234547\pi\) | |||||||
\(770\) | 16.2182 | − | 6.90032i | 0.584465 | − | 0.248670i | ||||
\(771\) | 88.1335 | + | 12.6717i | 3.17405 | + | 0.456360i | ||||
\(772\) | −11.0293 | − | 2.49115i | −0.396953 | − | 0.0896585i | ||||
\(773\) | 1.26993 | − | 17.7560i | 0.0456764 | − | 0.638639i | −0.922120 | − | 0.386904i | \(-0.873544\pi\) |
0.967796 | − | 0.251735i | \(-0.0810011\pi\) | |||||||
\(774\) | −16.5595 | − | 77.6047i | −0.595219 | − | 2.78944i | ||||
\(775\) | −0.710425 | + | 0.413270i | −0.0255192 | + | 0.0148451i | ||||
\(776\) | 7.10307 | + | 9.72795i | 0.254985 | + | 0.349213i | ||||
\(777\) | −1.82512 | − | 25.5185i | −0.0654757 | − | 0.915470i | ||||
\(778\) | 31.8810 | + | 27.8474i | 1.14299 | + | 0.998379i | ||||
\(779\) | 0.652275 | − | 1.42828i | 0.0233702 | − | 0.0511736i | ||||
\(780\) | −42.0141 | + | 21.3256i | −1.50434 | + | 0.763580i | ||||
\(781\) | 30.3054 | 1.08441 | ||||||||
\(782\) | 28.2960 | − | 43.3760i | 1.01186 | − | 1.55112i | ||||
\(783\) | −38.6120 | + | 38.6120i | −1.37988 | + | 1.37988i | ||||
\(784\) | 12.2528 | + | 10.9626i | 0.437602 | + | 0.391521i | ||||
\(785\) | 5.83777 | + | 2.82402i | 0.208359 | + | 0.100793i | ||||
\(786\) | −12.5416 | + | 0.846963i | −0.447343 | + | 0.0302102i | ||||
\(787\) | 4.84094 | − | 0.346231i | 0.172561 | − | 0.0123418i | 0.0152086 | − | 0.999884i | \(-0.495159\pi\) |
0.157352 | + | 0.987543i | \(0.449704\pi\) | |||||||
\(788\) | −2.63130 | − | 41.4082i | −0.0937363 | − | 1.47511i | ||||
\(789\) | 43.8542 | + | 68.2385i | 1.56125 | + | 2.42936i | ||||
\(790\) | −33.3503 | + | 6.34707i | −1.18655 | + | 0.225819i | ||||
\(791\) | 8.10238 | − | 7.02075i | 0.288087 | − | 0.249629i | ||||
\(792\) | −27.0748 | + | 57.4644i | −0.962061 | + | 2.04191i | ||||
\(793\) | −28.7612 | + | 21.5304i | −1.02134 | + | 0.764565i | ||||
\(794\) | 11.8304 | + | 4.46607i | 0.419844 | + | 0.158495i | ||||
\(795\) | 39.2132 | − | 7.62432i | 1.39075 | − | 0.270407i | ||||
\(796\) | −20.3606 | + | 5.80321i | −0.721661 | + | 0.205690i | ||||
\(797\) | 5.79409 | + | 2.16108i | 0.205237 | + | 0.0765495i | 0.449980 | − | 0.893038i | \(-0.351431\pi\) |
−0.244743 | + | 0.969588i | \(0.578704\pi\) | |||||||
\(798\) | −3.71504 | + | 8.05007i | −0.131511 | + | 0.284969i | ||||
\(799\) | −46.1783 | − | 13.5592i | −1.63367 | − | 0.479689i | ||||
\(800\) | −13.7342 | − | 24.7259i | −0.485577 | − | 0.874194i | ||||
\(801\) | −9.31171 | + | 2.73416i | −0.329013 | + | 0.0966069i | ||||
\(802\) | 0.00310741 | + | 0.0222388i | 0.000109726 | + | 0.000785281i | ||||
\(803\) | −19.1034 | − | 14.3006i | −0.674145 | − | 0.504658i | ||||
\(804\) | 32.7766 | − | 70.2884i | 1.15594 | − | 2.47888i | ||||
\(805\) | −16.9155 | − | 6.79582i | −0.596193 | − | 0.239521i | ||||
\(806\) | 0.168905 | − | 0.761869i | 0.00594942 | − | 0.0268357i | ||||
\(807\) | −45.9295 | + | 61.3546i | −1.61680 | + | 2.15979i | ||||
\(808\) | 29.2000 | + | 8.95298i | 1.02725 | + | 0.314965i | ||||
\(809\) | 6.10036 | + | 20.7759i | 0.214477 | + | 0.730443i | 0.994504 | + | 0.104697i | \(0.0333872\pi\) |
−0.780027 | + | 0.625746i | \(0.784795\pi\) | |||||||
\(810\) | −31.7595 | − | 44.8210i | −1.11592 | − | 1.57485i | ||||
\(811\) | 5.91247 | − | 20.1360i | 0.207615 | − | 0.707072i | −0.788179 | − | 0.615447i | \(-0.788976\pi\) |
0.995794 | − | 0.0916250i | \(-0.0292061\pi\) | |||||||
\(812\) | −12.2268 | − | 9.30528i | −0.429078 | − | 0.326551i | ||||
\(813\) | −16.5582 | + | 44.3942i | −0.580721 | + | 1.55697i | ||||
\(814\) | −10.5786 | − | 19.5574i | −0.370780 | − | 0.685488i | ||||
\(815\) | 28.3909 | − | 42.0958i | 0.994490 | − | 1.47455i | ||||
\(816\) | 50.5388 | + | 81.4553i | 1.76921 | + | 2.85150i | ||||
\(817\) | −5.76838 | − | 7.70566i | −0.201810 | − | 0.269587i | ||||
\(818\) | 0.0225260 | − | 5.67429i | 0.000787604 | − | 0.198397i | ||||
\(819\) | −25.5978 | − | 29.5414i | −0.894459 | − | 1.03226i | ||||
\(820\) | −4.35080 | + | 4.09644i | −0.151937 | + | 0.143054i | ||||
\(821\) | 19.1938 | − | 12.3351i | 0.669868 | − | 0.430498i | −0.161010 | − | 0.986953i | \(-0.551475\pi\) |
0.830878 | + | 0.556455i | \(0.187839\pi\) | |||||||
\(822\) | 14.1094 | + | 48.7677i | 0.492123 | + | 1.70097i | ||||
\(823\) | −3.39757 | − | 47.5043i | −0.118432 | − | 1.65589i | −0.615466 | − | 0.788164i | \(-0.711032\pi\) |
0.497034 | − | 0.867731i | \(-0.334423\pi\) | |||||||
\(824\) | −1.06395 | − | 0.411331i | −0.0370644 | − | 0.0143294i | ||||
\(825\) | 15.8263 | + | 48.9560i | 0.551002 | + | 1.70443i | ||||
\(826\) | 1.70523 | − | 22.5820i | 0.0593325 | − | 0.785729i | ||||
\(827\) | 22.2594 | + | 22.2594i | 0.774035 | + | 0.774035i | 0.978809 | − | 0.204774i | \(-0.0656459\pi\) |
−0.204774 | + | 0.978809i | \(0.565646\pi\) | |||||||
\(828\) | 61.8034 | − | 22.2947i | 2.14782 | − | 0.774795i | ||||
\(829\) | − | 0.713043i | − | 0.0247650i | −0.999923 | − | 0.0123825i | \(-0.996058\pi\) | ||
0.999923 | − | 0.0123825i | \(-0.00394158\pi\) | |||||||
\(830\) | 22.3255 | − | 18.3460i | 0.774929 | − | 0.636800i | ||||
\(831\) | −10.1970 | − | 4.65680i | −0.353729 | − | 0.161542i | ||||
\(832\) | 26.0983 | + | 6.33191i | 0.904797 | + | 0.219519i | ||||
\(833\) | −31.3058 | + | 2.23904i | −1.08468 | + | 0.0775780i | ||||
\(834\) | 39.4418 | − | 71.5554i | 1.36576 | − | 2.47776i | ||||
\(835\) | 22.7587 | − | 13.9233i | 0.787598 | − | 0.481836i | ||||
\(836\) | −0.0611784 | + | 7.70528i | −0.00211590 | + | 0.266493i | ||||
\(837\) | 1.98105 | + | 0.141688i | 0.0684752 | + | 0.00489744i | ||||
\(838\) | −24.4503 | − | 0.0970640i | −0.844623 | − | 0.00335302i | ||||
\(839\) | 2.92199 | − | 20.3229i | 0.100878 | − | 0.701623i | −0.875130 | − | 0.483888i | \(-0.839224\pi\) |
0.976008 | − | 0.217735i | \(-0.0698668\pi\) | |||||||
\(840\) | 24.6583 | − | 23.0327i | 0.850792 | − | 0.794703i | ||||
\(841\) | 7.21421 | + | 4.63629i | 0.248766 | + | 0.159872i | ||||
\(842\) | −8.53111 | − | 2.54179i | −0.294002 | − | 0.0875959i | ||||
\(843\) | 25.0995 | + | 9.36163i | 0.864473 | + | 0.322432i | ||||
\(844\) | −36.3975 | + | 4.93854i | −1.25285 | + | 0.169992i | ||||
\(845\) | 1.77926 | + | 3.43746i | 0.0612084 | + | 0.118252i | ||||
\(846\) | −36.3955 | − | 49.0232i | −1.25130 | − | 1.68545i | ||||
\(847\) | −0.372945 | − | 0.203644i | −0.0128146 | − | 0.00699728i | ||||
\(848\) | −19.8084 | − | 11.2281i | −0.680222 | − | 0.385575i | ||||
\(849\) | −17.5448 | + | 2.52255i | −0.602134 | + | 0.0865739i | ||||
\(850\) | 52.1446 | + | 14.0110i | 1.78854 | + | 0.480575i | ||||
\(851\) | −6.54210 | + | 22.0475i | −0.224260 | + | 0.755778i | ||||
\(852\) | 54.5190 | − | 19.8429i | 1.86779 | − | 0.679806i | ||||
\(853\) | 18.4525 | − | 24.6496i | 0.631801 | − | 0.843988i | −0.364384 | − | 0.931249i | \(-0.618720\pi\) |
0.996185 | + | 0.0872608i | \(0.0278114\pi\) | |||||||
\(854\) | 15.5005 | − | 20.5358i | 0.530416 | − | 0.702720i | ||||
\(855\) | −15.6018 | − | 8.97370i | −0.533571 | − | 0.306894i | ||||
\(856\) | 4.10541 | + | 20.0171i | 0.140320 | + | 0.684170i | ||||
\(857\) | −19.2008 | + | 10.4844i | −0.655888 | + | 0.358142i | −0.772481 | − | 0.635038i | \(-0.780984\pi\) |
0.116593 | + | 0.993180i | \(0.462803\pi\) | |||||||
\(858\) | −44.3560 | − | 20.4699i | −1.51429 | − | 0.698831i | ||||
\(859\) | 9.40623 | + | 20.5968i | 0.320936 | + | 0.702753i | 0.999494 | − | 0.0317941i | \(-0.0101221\pi\) |
−0.678558 | + | 0.734547i | \(0.737395\pi\) | |||||||
\(860\) | 9.25813 | + | 35.4439i | 0.315700 | + | 1.20863i | ||||
\(861\) | −5.99725 | − | 3.85420i | −0.204386 | − | 0.131351i | ||||
\(862\) | −2.45381 | + | 1.10887i | −0.0835772 | + | 0.0377682i | ||||
\(863\) | 31.8360 | + | 42.5280i | 1.08371 | + | 1.44767i | 0.883806 | + | 0.467854i | \(0.154973\pi\) |
0.199906 | + | 0.979815i | \(0.435936\pi\) | |||||||
\(864\) | −6.22820 | + | 68.0655i | −0.211888 | + | 2.31563i | ||||
\(865\) | 9.98267 | + | 12.0502i | 0.339421 | + | 0.409718i | ||||
\(866\) | −2.85189 | − | 13.3652i | −0.0969113 | − | 0.454167i | ||||
\(867\) | −126.678 | − | 27.5572i | −4.30223 | − | 0.935892i | ||||
\(868\) | 0.0354413 | + | 0.557730i | 0.00120295 | + | 0.0189306i | ||||
\(869\) | −26.6016 | − | 23.0504i | −0.902398 | − | 0.781932i | ||||
\(870\) | 30.2481 | − | 33.1185i | 1.02551 | − | 1.12282i | ||||
\(871\) | 37.7287 | + | 17.2301i | 1.27839 | + | 0.583821i | ||||
\(872\) | 2.98511 | + | 10.6332i | 0.101088 | + | 0.360085i | ||||
\(873\) | −20.6270 | − | 20.6270i | −0.698119 | − | 0.698119i | ||||
\(874\) | 5.67380 | − | 5.59690i | 0.191919 | − | 0.189318i | ||||
\(875\) | 1.26275 | − | 18.9637i | 0.0426889 | − | 0.641089i | ||||
\(876\) | −43.7303 | − | 13.2184i | −1.47751 | − | 0.446608i | ||||
\(877\) | −4.64924 | − | 12.4651i | −0.156994 | − | 0.420917i | 0.834510 | − | 0.550992i | \(-0.185751\pi\) |
−0.991504 | + | 0.130076i | \(0.958478\pi\) | |||||||
\(878\) | −0.715640 | + | 0.819298i | −0.0241517 | + | 0.0276500i | ||||
\(879\) | −6.23319 | + | 7.19349i | −0.210240 | + | 0.242630i | ||||
\(880\) | 11.2859 | − | 27.0671i | 0.380449 | − | 0.912433i | ||||
\(881\) | −7.09661 | + | 4.56072i | −0.239091 | + | 0.153654i | −0.654700 | − | 0.755889i | \(-0.727205\pi\) |
0.415609 | + | 0.909543i | \(0.363569\pi\) | |||||||
\(882\) | −33.4105 | − | 21.6595i | −1.12499 | − | 0.729315i | ||||
\(883\) | −37.3282 | − | 2.66976i | −1.25619 | − | 0.0898447i | −0.572677 | − | 0.819781i | \(-0.694095\pi\) |
−0.683515 | + | 0.729936i | \(0.739550\pi\) | |||||||
\(884\) | −43.3469 | + | 27.3735i | −1.45791 | + | 0.920671i | ||||
\(885\) | 65.2107 | + | 10.8560i | 2.19203 | + | 0.364920i | ||||
\(886\) | −22.0484 | − | 8.32347i | −0.740729 | − | 0.279632i | ||||
\(887\) | −8.86888 | − | 40.7696i | −0.297788 | − | 1.36891i | −0.846273 | − | 0.532749i | \(-0.821159\pi\) |
0.548485 | − | 0.836160i | \(-0.315205\pi\) | |||||||
\(888\) | −31.8362 | − | 28.2570i | −1.06835 | − | 0.948244i | ||||
\(889\) | −13.6821 | + | 6.24841i | −0.458883 | + | 0.209565i | ||||
\(890\) | 4.23727 | − | 1.45547i | 0.142034 | − | 0.0487875i | ||||
\(891\) | 16.0462 | − | 54.6483i | 0.537567 | − | 1.83079i | ||||
\(892\) | −14.7857 | − | 5.64890i | −0.495062 | − | 0.189139i | ||||
\(893\) | −6.50036 | − | 3.54947i | −0.217526 | − | 0.118778i | ||||
\(894\) | −33.1765 | + | 43.9538i | −1.10959 | + | 1.47003i | ||||
\(895\) | −21.0010 | − | 16.4598i | −0.701985 | − | 0.550190i | ||||
\(896\) | −19.2141 | + | 0.838479i | −0.641898 | + | 0.0280116i | ||||
\(897\) | 17.5222 | + | 47.3913i | 0.585049 | + | 1.58235i | ||||
\(898\) | −16.1345 | − | 25.3263i | −0.538416 | − | 0.845150i | ||||
\(899\) | 0.105722 | + | 0.735315i | 0.00352604 | + | 0.0245241i | ||||
\(900\) | 42.0914 | + | 54.0407i | 1.40305 | + | 1.80136i | ||||
\(901\) | 41.7055 | − | 12.2458i | 1.38941 | − | 0.407968i | ||||
\(902\) | −6.12925 | − | 0.906102i | −0.204082 | − | 0.0301699i | ||||
\(903\) | −38.3564 | + | 20.9442i | −1.27642 | + | 0.696979i | ||||
\(904\) | 1.48437 | − | 17.7764i | 0.0493695 | − | 0.591233i | ||||
\(905\) | −11.3708 | − | 4.53059i | −0.377977 | − | 0.150602i | ||||
\(906\) | 12.0473 | + | 22.2728i | 0.400245 | + | 0.739963i | ||||
\(907\) | −6.72694 | − | 30.9232i | −0.223364 | − | 1.02679i | −0.943092 | − | 0.332533i | \(-0.892097\pi\) |
0.719727 | − | 0.694257i | \(-0.244267\pi\) | |||||||
\(908\) | −4.57300 | − | 21.8558i | −0.151760 | − | 0.725309i | ||||
\(909\) | −73.2130 | − | 10.5264i | −2.42832 | − | 0.349140i | ||||
\(910\) | 12.4224 | + | 13.0892i | 0.411797 | + | 0.433903i | ||||
\(911\) | 25.6763 | − | 22.2486i | 0.850693 | − | 0.737130i | −0.115950 | − | 0.993255i | \(-0.536991\pi\) |
0.966644 | + | 0.256125i | \(0.0824458\pi\) | |||||||
\(912\) | 4.93508 | + | 13.9017i | 0.163417 | + | 0.460332i | ||||
\(913\) | 29.2758 | + | 6.36856i | 0.968888 | + | 0.210769i | ||||
\(914\) | −2.45396 | + | 4.45198i | −0.0811697 | + | 0.147258i | ||||
\(915\) | 55.6582 | + | 50.4306i | 1.84000 | + | 1.66718i | ||||
\(916\) | −37.0128 | − | 5.62193i | −1.22294 | − | 0.185754i | ||||
\(917\) | 1.68244 | + | 4.51081i | 0.0555592 | + | 0.148960i | ||||
\(918\) | −85.0532 | − | 98.9475i | −2.80717 | − | 3.26576i | ||||
\(919\) | −45.7413 | −1.50887 | −0.754433 | − | 0.656377i | \(-0.772088\pi\) | ||||
−0.754433 | + | 0.656377i | \(0.772088\pi\) | |||||||
\(920\) | −28.0369 | + | 11.5730i | −0.924348 | + | 0.381551i | ||||
\(921\) | 91.5196 | 3.01567 | ||||||||
\(922\) | 1.79415 | + | 2.08725i | 0.0590873 | + | 0.0687399i | ||||
\(923\) | 10.8433 | + | 29.0720i | 0.356911 | + | 0.956915i | ||||
\(924\) | 34.5880 | + | 5.25362i | 1.13786 | + | 0.172831i | ||||
\(925\) | −23.9679 | + | 0.649046i | −0.788060 | + | 0.0213405i | ||||
\(926\) | −15.0305 | + | 27.2684i | −0.493933 | + | 0.896096i | ||||
\(927\) | 2.69939 | + | 0.587217i | 0.0886597 | + | 0.0192867i | ||||
\(928\) | −25.3723 | + | 3.13535i | −0.832886 | + | 0.102923i | ||||
\(929\) | −18.8870 | + | 16.3656i | −0.619661 | + | 0.536939i | −0.907130 | − | 0.420851i | \(-0.861732\pi\) |
0.287469 | + | 0.957790i | \(0.407186\pi\) | |||||||
\(930\) | −1.63083 | − | 0.0426284i | −0.0534770 | − | 0.00139784i | ||||
\(931\) | −4.78074 | − | 0.687367i | −0.156682 | − | 0.0225275i | ||||
\(932\) | 5.43271 | + | 25.9646i | 0.177954 | + | 0.850497i | ||||
\(933\) | 14.0642 | + | 64.6520i | 0.460441 | + | 2.11661i | ||||
\(934\) | 3.35066 | + | 6.19461i | 0.109637 | + | 0.202694i | ||||
\(935\) | 22.1217 | + | 51.4263i | 0.723456 | + | 1.68182i | ||||
\(936\) | −64.8129 | − | 5.41205i | −2.11848 | − | 0.176898i | ||||
\(937\) | −33.3800 | + | 18.2269i | −1.09048 | + | 0.595446i | −0.920792 | − | 0.390053i | \(-0.872457\pi\) |
−0.169685 | + | 0.985498i | \(0.554275\pi\) | |||||||
\(938\) | −29.3841 | − | 4.34392i | −0.959424 | − | 0.141834i | ||||
\(939\) | −61.0786 | + | 17.9343i | −1.99322 | + | 0.585263i | ||||
\(940\) | 17.8091 | + | 21.8483i | 0.580868 | + | 0.712612i | ||||
\(941\) | 4.17005 | + | 29.0033i | 0.135940 | + | 0.945481i | 0.937604 | + | 0.347706i | \(0.113039\pi\) |
−0.801664 | + | 0.597775i | \(0.796052\pi\) | |||||||
\(942\) | 6.91619 | + | 10.8563i | 0.225342 | + | 0.353718i | ||||
\(943\) | 3.82573 | + | 5.14107i | 0.124583 | + | 0.167416i | ||||
\(944\) | −24.2201 | − | 28.8651i | −0.788296 | − | 0.939479i | ||||
\(945\) | −28.3315 | + | 36.1481i | −0.921625 | + | 1.17590i | ||||
\(946\) | −22.8824 | + | 30.3156i | −0.743969 | + | 0.985646i | ||||
\(947\) | −22.1737 | − | 12.1078i | −0.720550 | − | 0.393450i | 0.0767364 | − | 0.997051i | \(-0.475550\pi\) |
−0.797286 | + | 0.603601i | \(0.793732\pi\) | |||||||
\(948\) | −62.9485 | − | 24.0496i | −2.04447 | − | 0.781094i | ||||
\(949\) | 6.88338 | − | 23.4426i | 0.223444 | − | 0.760980i | ||||
\(950\) | 7.38274 | + | 3.81258i | 0.239528 | + | 0.123696i | ||||
\(951\) | −21.0714 | + | 9.62298i | −0.683287 | + | 0.312047i | ||||
\(952\) | 24.3715 | − | 27.4585i | 0.789883 | − | 0.889934i | ||||
\(953\) | −1.28013 | − | 5.88468i | −0.0414676 | − | 0.190624i | 0.951754 | − | 0.306863i | \(-0.0992795\pi\) |
−0.993221 | + | 0.116240i | \(0.962916\pi\) | |||||||
\(954\) | 51.5890 | + | 19.4753i | 1.67026 | + | 0.630538i | ||||
\(955\) | 13.4593 | − | 9.61754i | 0.435532 | − | 0.311216i | ||||
\(956\) | 0.678871 | − | 0.428706i | 0.0219562 | − | 0.0138653i | ||||
\(957\) | 46.3861 | + | 3.31760i | 1.49945 | + | 0.107243i | ||||
\(958\) | 16.8989 | + | 10.9553i | 0.545979 | + | 0.353950i | ||||
\(959\) | 16.3573 | − | 10.5122i | 0.528205 | − | 0.339457i | ||||
\(960\) | 2.58064 | − | 56.0830i | 0.0832898 | − | 1.81007i | ||||
\(961\) | −20.2830 | + | 23.4078i | −0.654290 | + | 0.755091i | ||||
\(962\) | 14.9764 | − | 17.1457i | 0.482859 | − | 0.552799i | ||||
\(963\) | −17.2937 | − | 46.3663i | −0.557283 | − | 1.49413i | ||||
\(964\) | 31.1821 | + | 9.42545i | 1.00431 | + | 0.303573i | ||||
\(965\) | −12.6387 | − | 0.280161i | −0.406853 | − | 0.00901869i | ||||
\(966\) | −21.4864 | − | 29.1144i | −0.691314 | − | 0.936741i | ||||
\(967\) | 35.2485 | + | 35.2485i | 1.13352 | + | 1.13352i | 0.989588 | + | 0.143928i | \(0.0459734\pi\) |
0.143928 | + | 0.989588i | \(0.454027\pi\) | |||||||
\(968\) | −0.680697 | + | 0.191095i | −0.0218784 | + | 0.00614203i | ||||
\(969\) | −25.6159 | − | 11.6984i | −0.822902 | − | 0.375807i | ||||
\(970\) | 9.94371 | + | 9.08190i | 0.319273 | + | 0.291602i | ||||
\(971\) | −40.1845 | − | 34.8201i | −1.28958 | − | 1.11743i | −0.986376 | − | 0.164505i | \(-0.947397\pi\) |
−0.303207 | − | 0.952925i | \(-0.598057\pi\) | |||||||
\(972\) | −2.31737 | − | 36.4678i | −0.0743296 | − | 1.16971i | ||||
\(973\) | −30.5781 | − | 6.65185i | −0.980287 | − | 0.213248i | ||||
\(974\) | 10.8716 | + | 50.9487i | 0.348347 | + | 1.63250i | ||||
\(975\) | −41.3008 | + | 32.6986i | −1.32268 | + | 1.04719i | ||||
\(976\) | −5.41883 | − | 42.4652i | −0.173452 | − | 1.35928i | ||||
\(977\) | −25.2050 | − | 33.6700i | −0.806380 | − | 1.07720i | −0.995455 | − | 0.0952353i | \(-0.969640\pi\) |
0.189074 | − | 0.981963i | \(-0.439451\pi\) | |||||||
\(978\) | 91.8426 | − | 41.5033i | 2.93680 | − | 1.32713i | ||||
\(979\) | 3.90784 | + | 2.51141i | 0.124895 | + | 0.0802651i | ||||
\(980\) | 15.8608 | + | 9.29102i | 0.506655 | + | 0.296791i | ||||
\(981\) | −11.1111 | − | 24.3299i | −0.354750 | − | 0.776794i | ||||
\(982\) | −0.418123 | − | 0.192960i | −0.0133428 | − | 0.00615761i | ||||
\(983\) | −4.61603 | + | 2.52054i | −0.147229 | + | 0.0803929i | −0.551175 | − | 0.834390i | \(-0.685820\pi\) |
0.403946 | + | 0.914783i | \(0.367638\pi\) | |||||||
\(984\) | −11.6197 | + | 2.38315i | −0.370423 | + | 0.0759719i | ||||
\(985\) | −12.0797 | − | 44.7888i | −0.384892 | − | 1.42709i | ||||
\(986\) | 29.4018 | − | 38.9529i | 0.936343 | − | 1.24051i | ||||
\(987\) | −20.1514 | + | 26.9192i | −0.641428 | + | 0.856847i | ||||
\(988\) | −7.41355 | + | 2.69826i | −0.235857 | + | 0.0858431i | ||||
\(989\) | 38.9006 | − | 5.47985i | 1.23697 | − | 0.174249i | ||||
\(990\) | −16.9049 | + | 68.9799i | −0.537272 | + | 2.19233i | ||||
\(991\) | −9.10945 | + | 1.30974i | −0.289371 | + | 0.0416053i | −0.285472 | − | 0.958387i | \(-0.592150\pi\) |
−0.00389944 | + | 0.999992i | \(0.501241\pi\) | |||||||
\(992\) | 0.690515 | + | 0.622755i | 0.0219239 | + | 0.0197725i | ||||
\(993\) | −8.70787 | − | 4.75486i | −0.276336 | − | 0.150891i | ||||
\(994\) | −13.2457 | − | 17.8413i | −0.420127 | − | 0.565893i | ||||
\(995\) | −21.0213 | + | 10.8808i | −0.666420 | + | 0.344945i | ||||
\(996\) | 56.8366 | − | 7.71180i | 1.80094 | − | 0.244358i | ||||
\(997\) | −33.6096 | − | 12.5357i | −1.06443 | − | 0.397011i | −0.244601 | − | 0.969624i | \(-0.578657\pi\) |
−0.819826 | + | 0.572613i | \(0.805930\pi\) | |||||||
\(998\) | −49.1076 | − | 14.6313i | −1.55448 | − | 0.463146i | ||||
\(999\) | 48.7426 | + | 31.3250i | 1.54215 | + | 0.991078i |
(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 | 460.2.w.a.3.19 | yes | 1360 | |
4.3 | odd | 2 | inner | 460.2.w.a.3.10 | ✓ | 1360 | |
5.2 | odd | 4 | inner | 460.2.w.a.187.52 | yes | 1360 | |
20.7 | even | 4 | inner | 460.2.w.a.187.45 | yes | 1360 | |
23.8 | even | 11 | inner | 460.2.w.a.123.45 | yes | 1360 | |
92.31 | odd | 22 | inner | 460.2.w.a.123.52 | yes | 1360 | |
115.77 | odd | 44 | inner | 460.2.w.a.307.10 | yes | 1360 | |
460.307 | even | 44 | inner | 460.2.w.a.307.19 | yes | 1360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.w.a.3.10 | ✓ | 1360 | 4.3 | odd | 2 | inner | |
460.2.w.a.3.19 | yes | 1360 | 1.1 | even | 1 | trivial | |
460.2.w.a.123.45 | yes | 1360 | 23.8 | even | 11 | inner | |
460.2.w.a.123.52 | yes | 1360 | 92.31 | odd | 22 | inner | |
460.2.w.a.187.45 | yes | 1360 | 20.7 | even | 4 | inner | |
460.2.w.a.187.52 | yes | 1360 | 5.2 | odd | 4 | inner | |
460.2.w.a.307.10 | yes | 1360 | 115.77 | odd | 44 | inner | |
460.2.w.a.307.19 | yes | 1360 | 460.307 | even | 44 | inner |