Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(5,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.o (of order \(66\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 103.2 | ||
Character | \(\chi\) | \(=\) | 322.103 |
Dual form | 322.2.o.a.297.2 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0475819 | − | 0.998867i | −0.0336455 | − | 0.706306i | ||||
\(3\) | −0.983644 | − | 2.45702i | −0.567907 | − | 1.41856i | −0.882941 | − | 0.469483i | \(-0.844440\pi\) |
0.315034 | − | 0.949080i | \(-0.397984\pi\) | |||||||
\(4\) | −0.995472 | + | 0.0950560i | −0.497736 | + | 0.0475280i | ||||
\(5\) | 0.209243 | − | 0.862512i | 0.0935763 | − | 0.385727i | −0.905694 | − | 0.423933i | \(-0.860649\pi\) |
0.999270 | + | 0.0382061i | \(0.0121643\pi\) | |||||||
\(6\) | −2.40744 | + | 1.09944i | −0.982832 | + | 0.448845i | ||||
\(7\) | −1.82669 | − | 1.91395i | −0.690425 | − | 0.723404i | ||||
\(8\) | 0.142315 | + | 0.989821i | 0.0503159 | + | 0.349955i | ||||
\(9\) | −2.89821 | + | 2.76344i | −0.966070 | + | 0.921146i | ||||
\(10\) | −0.871491 | − | 0.167966i | −0.275590 | − | 0.0531155i | ||||
\(11\) | 4.30183 | + | 0.204921i | 1.29705 | + | 0.0617861i | 0.684714 | − | 0.728812i | \(-0.259927\pi\) |
0.612336 | + | 0.790598i | \(0.290230\pi\) | |||||||
\(12\) | 1.21275 | + | 2.35240i | 0.350089 | + | 0.679079i | ||||
\(13\) | −3.91701 | − | 3.39410i | −1.08638 | − | 0.941355i | −0.0878831 | − | 0.996131i | \(-0.528010\pi\) |
−0.998499 | + | 0.0547756i | \(0.982556\pi\) | |||||||
\(14\) | −1.82486 | + | 1.91569i | −0.487715 | + | 0.511991i | ||||
\(15\) | −2.32503 | + | 0.334289i | −0.600321 | + | 0.0863131i | ||||
\(16\) | 0.981929 | − | 0.189251i | 0.245482 | − | 0.0473128i | ||||
\(17\) | −3.76605 | + | 5.28868i | −0.913402 | + | 1.28269i | 0.0455021 | + | 0.998964i | \(0.485511\pi\) |
−0.958904 | + | 0.283730i | \(0.908428\pi\) | |||||||
\(18\) | 2.89821 | + | 2.76344i | 0.683115 | + | 0.651349i | ||||
\(19\) | 0.262258 | + | 0.368290i | 0.0601661 | + | 0.0844915i | 0.843563 | − | 0.537031i | \(-0.180454\pi\) |
−0.783397 | + | 0.621522i | \(0.786515\pi\) | |||||||
\(20\) | −0.126309 | + | 0.878496i | −0.0282435 | + | 0.196438i | ||||
\(21\) | −2.90580 | + | 6.37087i | −0.634097 | + | 1.39024i | ||||
\(22\) | − | 4.30671i | − | 0.918193i | ||||||
\(23\) | 4.74620 | − | 0.688153i | 0.989652 | − | 0.143490i | ||||
\(24\) | 2.29203 | − | 1.32330i | 0.467858 | − | 0.270118i | ||||
\(25\) | 3.74403 | + | 1.93018i | 0.748807 | + | 0.386037i | ||||
\(26\) | −3.20388 | + | 4.07407i | −0.628333 | + | 0.798990i | ||||
\(27\) | 2.41833 | + | 1.10442i | 0.465408 | + | 0.212545i | ||||
\(28\) | 2.00035 | + | 1.73164i | 0.378031 | + | 0.327250i | ||||
\(29\) | −2.75799 | − | 6.03917i | −0.512147 | − | 1.12145i | −0.972328 | − | 0.233620i | \(-0.924943\pi\) |
0.460181 | − | 0.887825i | \(-0.347784\pi\) | |||||||
\(30\) | 0.444540 | + | 2.30649i | 0.0811616 | + | 0.421106i | ||||
\(31\) | 4.05523 | + | 5.15665i | 0.728341 | + | 0.926161i | 0.999337 | − | 0.0364194i | \(-0.0115952\pi\) |
−0.270995 | + | 0.962581i | \(0.587353\pi\) | |||||||
\(32\) | −0.235759 | − | 0.971812i | −0.0416767 | − | 0.171794i | ||||
\(33\) | −3.72797 | − | 10.7713i | −0.648957 | − | 1.87504i | ||||
\(34\) | 5.46189 | + | 3.51014i | 0.936706 | + | 0.601984i | ||||
\(35\) | −2.03302 | + | 1.17506i | −0.343644 | + | 0.198622i | ||||
\(36\) | 2.62241 | − | 3.02642i | 0.437068 | − | 0.504403i | ||||
\(37\) | −2.74566 | − | 2.87957i | −0.451384 | − | 0.473398i | 0.458241 | − | 0.888828i | \(-0.348480\pi\) |
−0.909625 | + | 0.415430i | \(0.863631\pi\) | |||||||
\(38\) | 0.355394 | − | 0.279485i | 0.0576525 | − | 0.0453384i | ||||
\(39\) | −4.48646 | + | 12.9628i | −0.718408 | + | 2.07570i | ||||
\(40\) | 0.883511 | + | 0.0843651i | 0.139695 | + | 0.0133393i | ||||
\(41\) | −2.92944 | − | 9.97676i | −0.457502 | − | 1.55811i | −0.788841 | − | 0.614597i | \(-0.789319\pi\) |
0.331339 | − | 0.943512i | \(-0.392500\pi\) | |||||||
\(42\) | 6.50192 | + | 2.59937i | 1.00327 | + | 0.401091i | ||||
\(43\) | −1.78005 | − | 0.255932i | −0.271454 | − | 0.0390293i | 0.00524330 | − | 0.999986i | \(-0.498331\pi\) |
−0.276698 | + | 0.960957i | \(0.589240\pi\) | |||||||
\(44\) | −4.30183 | + | 0.204921i | −0.648525 | + | 0.0308931i | ||||
\(45\) | 1.77707 | + | 3.07797i | 0.264910 | + | 0.458837i | ||||
\(46\) | −0.913207 | − | 4.70808i | −0.134645 | − | 0.694169i | ||||
\(47\) | −7.98145 | − | 4.60809i | −1.16421 | − | 0.672159i | −0.211904 | − | 0.977291i | \(-0.567966\pi\) |
−0.952310 | + | 0.305131i | \(0.901300\pi\) | |||||||
\(48\) | −1.43086 | − | 2.22647i | −0.206527 | − | 0.321363i | ||||
\(49\) | −0.326383 | + | 6.99239i | −0.0466261 | + | 0.998912i | ||||
\(50\) | 1.74985 | − | 3.83163i | 0.247466 | − | 0.541875i | ||||
\(51\) | 16.6989 | + | 4.05110i | 2.33831 | + | 0.567268i | ||||
\(52\) | 4.22190 | + | 3.00640i | 0.585472 | + | 0.416913i | ||||
\(53\) | −4.40828 | − | 1.52572i | −0.605524 | − | 0.209574i | 0.00706543 | − | 0.999975i | \(-0.497751\pi\) |
−0.612590 | + | 0.790401i | \(0.709872\pi\) | |||||||
\(54\) | 0.988095 | − | 2.46814i | 0.134463 | − | 0.335872i | ||||
\(55\) | 1.07687 | − | 3.66750i | 0.145206 | − | 0.494525i | ||||
\(56\) | 1.63450 | − | 2.08048i | 0.218419 | − | 0.278016i | ||||
\(57\) | 0.646928 | − | 1.00664i | 0.0856878 | − | 0.133333i | ||||
\(58\) | −5.90110 | + | 3.04223i | −0.774852 | + | 0.399464i | ||||
\(59\) | 2.54732 | − | 13.2168i | 0.331633 | − | 1.72068i | −0.307472 | − | 0.951557i | \(-0.599483\pi\) |
0.639105 | − | 0.769120i | \(-0.279305\pi\) | |||||||
\(60\) | 2.28273 | − | 0.553784i | 0.294699 | − | 0.0714932i | ||||
\(61\) | 2.83068 | + | 1.13323i | 0.362431 | + | 0.145096i | 0.545729 | − | 0.837962i | \(-0.316253\pi\) |
−0.183297 | + | 0.983058i | \(0.558677\pi\) | |||||||
\(62\) | 4.95785 | − | 4.29600i | 0.629648 | − | 0.545593i | ||||
\(63\) | 10.5832 | + | 0.499066i | 1.33336 | + | 0.0628764i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −3.74706 | + | 2.66827i | −0.464766 | + | 0.330958i | ||||
\(66\) | −10.5817 | + | 4.23627i | −1.30252 | + | 0.521448i | ||||
\(67\) | 5.18565 | − | 10.0588i | 0.633528 | − | 1.22887i | −0.325495 | − | 0.945544i | \(-0.605531\pi\) |
0.959023 | − | 0.283329i | \(-0.0914387\pi\) | |||||||
\(68\) | 3.24628 | − | 5.62272i | 0.393669 | − | 0.681855i | ||||
\(69\) | −6.35938 | − | 10.9846i | −0.765580 | − | 1.32240i | ||||
\(70\) | 1.27047 | + | 1.97481i | 0.151850 | + | 0.236035i | ||||
\(71\) | 3.20880 | − | 2.06217i | 0.380815 | − | 0.244735i | −0.336203 | − | 0.941789i | \(-0.609143\pi\) |
0.717018 | + | 0.697055i | \(0.245507\pi\) | |||||||
\(72\) | −3.14777 | − | 2.47543i | −0.370968 | − | 0.291733i | ||||
\(73\) | −0.147107 | − | 1.54057i | −0.0172176 | − | 0.180311i | 0.982772 | − | 0.184821i | \(-0.0591704\pi\) |
−0.999990 | + | 0.00451016i | \(0.998564\pi\) | |||||||
\(74\) | −2.74566 | + | 2.87957i | −0.319177 | + | 0.334743i | ||||
\(75\) | 1.05971 | − | 11.0978i | 0.122365 | − | 1.28146i | ||||
\(76\) | −0.296079 | − | 0.341693i | −0.0339625 | − | 0.0391949i | ||||
\(77\) | −7.46591 | − | 8.60780i | −0.850820 | − | 0.980950i | ||||
\(78\) | 13.1616 | + | 3.86458i | 1.49025 | + | 0.437578i | ||||
\(79\) | −3.65208 | + | 1.26400i | −0.410891 | + | 0.142211i | −0.524691 | − | 0.851293i | \(-0.675819\pi\) |
0.113799 | + | 0.993504i | \(0.463698\pi\) | |||||||
\(80\) | 0.0422304 | − | 0.886524i | 0.00472150 | − | 0.0991164i | ||||
\(81\) | −0.236832 | + | 4.97172i | −0.0263147 | + | 0.552413i | ||||
\(82\) | −9.82608 | + | 3.40084i | −1.08511 | + | 0.375560i | ||||
\(83\) | 10.7028 | + | 3.14263i | 1.17479 | + | 0.344949i | 0.810162 | − | 0.586205i | \(-0.199379\pi\) |
0.364625 | + | 0.931154i | \(0.381197\pi\) | |||||||
\(84\) | 2.28705 | − | 6.61824i | 0.249538 | − | 0.722109i | ||||
\(85\) | 3.77353 | + | 4.35489i | 0.409297 | + | 0.472354i | ||||
\(86\) | −0.170944 | + | 1.79021i | −0.0184334 | + | 0.193043i | ||||
\(87\) | −12.1255 | + | 12.7169i | −1.29999 | + | 1.36339i | ||||
\(88\) | 0.409378 | + | 4.28721i | 0.0436399 | + | 0.457018i | ||||
\(89\) | 4.26318 | + | 3.35260i | 0.451896 | + | 0.355375i | 0.818019 | − | 0.575192i | \(-0.195072\pi\) |
−0.366123 | + | 0.930567i | \(0.619315\pi\) | |||||||
\(90\) | 2.98993 | − | 1.92151i | 0.315166 | − | 0.202545i | ||||
\(91\) | 0.659033 | + | 13.6969i | 0.0690854 | + | 1.43583i | ||||
\(92\) | −4.65930 | + | 1.13619i | −0.485766 | + | 0.118456i | ||||
\(93\) | 8.68110 | − | 15.0361i | 0.900188 | − | 1.55917i | ||||
\(94\) | −4.22310 | + | 8.19167i | −0.435579 | + | 0.844906i | ||||
\(95\) | 0.372530 | − | 0.149138i | 0.0382208 | − | 0.0153013i | ||||
\(96\) | −2.15586 | + | 1.53518i | −0.220032 | + | 0.156684i | ||||
\(97\) | 1.09117 | − | 0.320396i | 0.110791 | − | 0.0325312i | −0.225867 | − | 0.974158i | \(-0.572521\pi\) |
0.336658 | + | 0.941627i | \(0.390703\pi\) | |||||||
\(98\) | 7.00000 | − | 0.00669798i | 0.707106 | − | 0.000676598i | ||||
\(99\) | −13.0339 | + | 11.2939i | −1.30996 | + | 1.13508i | ||||
\(100\) | −3.91056 | − | 1.56555i | −0.391056 | − | 0.156555i | ||||
\(101\) | −6.11782 | + | 1.48417i | −0.608745 | + | 0.147680i | −0.528270 | − | 0.849077i | \(-0.677159\pi\) |
−0.0804756 | + | 0.996757i | \(0.525644\pi\) | |||||||
\(102\) | 3.25195 | − | 16.8727i | 0.321991 | − | 1.67065i | ||||
\(103\) | 11.5944 | − | 5.97730i | 1.14243 | − | 0.588961i | 0.220139 | − | 0.975468i | \(-0.429349\pi\) |
0.922286 | + | 0.386507i | \(0.126319\pi\) | |||||||
\(104\) | 2.80211 | − | 4.36017i | 0.274769 | − | 0.427550i | ||||
\(105\) | 4.88693 | + | 3.83934i | 0.476916 | + | 0.374682i | ||||
\(106\) | −1.31424 | + | 4.47589i | −0.127650 | + | 0.434737i | ||||
\(107\) | −1.54249 | + | 3.85296i | −0.149118 | + | 0.372479i | −0.984054 | − | 0.177867i | \(-0.943080\pi\) |
0.834936 | + | 0.550347i | \(0.185504\pi\) | |||||||
\(108\) | −2.51236 | − | 0.869537i | −0.241752 | − | 0.0836713i | ||||
\(109\) | 9.01669 | + | 6.42076i | 0.863643 | + | 0.614997i | 0.923665 | − | 0.383200i | \(-0.125178\pi\) |
−0.0600228 | + | 0.998197i | \(0.519117\pi\) | |||||||
\(110\) | −3.71458 | − | 0.901148i | −0.354172 | − | 0.0859211i | ||||
\(111\) | −4.37441 | + | 9.57863i | −0.415201 | + | 0.909163i | ||||
\(112\) | −2.15590 | − | 1.53366i | −0.203713 | − | 0.144917i | ||||
\(113\) | 0.00684562 | + | 0.0106520i | 0.000643981 | + | 0.00100205i | 0.841575 | − | 0.540140i | \(-0.181629\pi\) |
−0.840931 | + | 0.541142i | \(0.817992\pi\) | |||||||
\(114\) | −1.03628 | − | 0.598298i | −0.0970567 | − | 0.0560357i | ||||
\(115\) | 0.399570 | − | 4.23765i | 0.0372601 | − | 0.395163i | ||||
\(116\) | 3.31957 | + | 5.74966i | 0.308214 | + | 0.533842i | ||||
\(117\) | 20.7317 | − | 0.987573i | 1.91665 | − | 0.0913012i | ||||
\(118\) | −13.3230 | − | 1.91556i | −1.22648 | − | 0.176341i | ||||
\(119\) | 17.0017 | − | 2.45278i | 1.55854 | − | 0.224846i | ||||
\(120\) | −0.661773 | − | 2.25379i | −0.0604114 | − | 0.205742i | ||||
\(121\) | 7.51354 | + | 0.717456i | 0.683049 | + | 0.0652233i | ||||
\(122\) | 0.997261 | − | 2.88140i | 0.0902877 | − | 0.260869i | ||||
\(123\) | −21.6316 | + | 17.0113i | −1.95046 | + | 1.53386i | ||||
\(124\) | −4.52704 | − | 4.74782i | −0.406540 | − | 0.426367i | ||||
\(125\) | 5.35426 | − | 6.17915i | 0.478900 | − | 0.552680i | ||||
\(126\) | −0.00506893 | − | 10.5950i | −0.000451576 | − | 0.943876i | ||||
\(127\) | −6.59801 | − | 4.24028i | −0.585479 | − | 0.376264i | 0.214113 | − | 0.976809i | \(-0.431314\pi\) |
−0.799591 | + | 0.600545i | \(0.794950\pi\) | |||||||
\(128\) | 0.327068 | + | 0.945001i | 0.0289090 | + | 0.0835271i | ||||
\(129\) | 1.12210 | + | 4.62536i | 0.0987955 | + | 0.407240i | ||||
\(130\) | 2.84354 | + | 3.61586i | 0.249395 | + | 0.317131i | ||||
\(131\) | −0.00669711 | − | 0.0347479i | −0.000585129 | − | 0.00303594i | 0.981635 | − | 0.190769i | \(-0.0610981\pi\) |
−0.982220 | + | 0.187733i | \(0.939886\pi\) | |||||||
\(132\) | 4.73497 | + | 10.3681i | 0.412126 | + | 0.902430i | ||||
\(133\) | 0.225822 | − | 1.17470i | 0.0195813 | − | 0.101859i | ||||
\(134\) | −10.2941 | − | 4.70116i | −0.889275 | − | 0.406118i | ||||
\(135\) | 1.45859 | − | 1.85475i | 0.125535 | − | 0.159631i | ||||
\(136\) | −5.77082 | − | 2.97506i | −0.494843 | − | 0.255110i | ||||
\(137\) | −11.1311 | + | 6.42654i | −0.950994 | + | 0.549056i | −0.893389 | − | 0.449283i | \(-0.851679\pi\) |
−0.0576042 | + | 0.998339i | \(0.518346\pi\) | |||||||
\(138\) | −10.6696 | + | 6.87485i | −0.908257 | + | 0.585226i | ||||
\(139\) | 12.9280i | 1.09654i | 0.836302 | + | 0.548268i | \(0.184713\pi\) | ||||
−0.836302 | + | 0.548268i | \(0.815287\pi\) | |||||||
\(140\) | 1.91212 | − | 1.36299i | 0.161604 | − | 0.115194i | ||||
\(141\) | −3.47129 | + | 24.1433i | −0.292335 | + | 2.03324i | ||||
\(142\) | −2.21252 | − | 3.10704i | −0.185670 | − | 0.260737i | ||||
\(143\) | −16.1548 | − | 15.4035i | −1.35093 | − | 1.28811i | ||||
\(144\) | −2.32285 | + | 3.26199i | −0.193571 | + | 0.271832i | ||||
\(145\) | −5.78594 | + | 1.11515i | −0.480496 | + | 0.0926081i | ||||
\(146\) | −1.53183 | + | 0.220244i | −0.126775 | + | 0.0182275i | ||||
\(147\) | 17.5015 | − | 6.07609i | 1.44350 | − | 0.501147i | ||||
\(148\) | 3.00695 | + | 2.60554i | 0.247170 | + | 0.214174i | ||||
\(149\) | −1.12625 | − | 2.18462i | −0.0922659 | − | 0.178971i | 0.838186 | − | 0.545384i | \(-0.183616\pi\) |
−0.930452 | + | 0.366413i | \(0.880586\pi\) | |||||||
\(150\) | −11.1356 | − | 0.530456i | −0.909222 | − | 0.0433116i | ||||
\(151\) | 15.7401 | + | 3.03366i | 1.28091 | + | 0.246876i | 0.783911 | − | 0.620873i | \(-0.213222\pi\) |
0.497003 | + | 0.867749i | \(0.334434\pi\) | |||||||
\(152\) | −0.327218 | + | 0.312002i | −0.0265409 | + | 0.0253067i | ||||
\(153\) | −3.70013 | − | 25.7350i | −0.299138 | − | 2.08055i | ||||
\(154\) | −8.24281 | + | 7.86703i | −0.664224 | + | 0.633943i | ||||
\(155\) | 5.29620 | − | 2.41869i | 0.425401 | − | 0.194274i | ||||
\(156\) | 3.23395 | − | 13.3305i | 0.258924 | − | 1.06730i | ||||
\(157\) | 15.1999 | − | 1.45142i | 1.21309 | − | 0.115836i | 0.531170 | − | 0.847265i | \(-0.321753\pi\) |
0.681917 | + | 0.731430i | \(0.261147\pi\) | |||||||
\(158\) | 1.43634 | + | 3.58780i | 0.114269 | + | 0.285430i | ||||
\(159\) | 0.587447 | + | 12.3320i | 0.0465876 | + | 0.977993i | ||||
\(160\) | −0.887530 | −0.0701654 | ||||||||
\(161\) | −9.98695 | − | 7.82694i | −0.787082 | − | 0.616849i | ||||
\(162\) | 4.97735 | 0.391058 | ||||||||
\(163\) | −0.401213 | − | 8.42250i | −0.0314254 | − | 0.659701i | −0.958546 | − | 0.284938i | \(-0.908027\pi\) |
0.927121 | − | 0.374763i | \(-0.122276\pi\) | |||||||
\(164\) | 3.86453 | + | 9.65313i | 0.301769 | + | 0.753783i | ||||
\(165\) | −10.0704 | + | 0.961606i | −0.783979 | + | 0.0748609i | ||||
\(166\) | 2.62981 | − | 10.8402i | 0.204113 | − | 0.841366i | ||||
\(167\) | −3.57773 | + | 1.63390i | −0.276853 | + | 0.126435i | −0.549003 | − | 0.835820i | \(-0.684993\pi\) |
0.272150 | + | 0.962255i | \(0.412265\pi\) | |||||||
\(168\) | −6.71956 | − | 1.96955i | −0.518426 | − | 0.151954i | ||||
\(169\) | 1.97289 | + | 13.7218i | 0.151761 | + | 1.05552i | ||||
\(170\) | 4.17040 | − | 3.97647i | 0.319855 | − | 0.304981i | ||||
\(171\) | −1.77782 | − | 0.342648i | −0.135954 | − | 0.0262029i | ||||
\(172\) | 1.79631 | + | 0.0855690i | 0.136968 | + | 0.00652457i | ||||
\(173\) | 7.15931 | + | 13.8871i | 0.544312 | + | 1.05582i | 0.987237 | + | 0.159259i | \(0.0509106\pi\) |
−0.442925 | + | 0.896559i | \(0.646059\pi\) | |||||||
\(174\) | 13.2794 | + | 11.5067i | 1.00671 | + | 0.872318i | ||||
\(175\) | −3.14493 | − | 10.6917i | −0.237735 | − | 0.808219i | ||||
\(176\) | 4.26287 | − | 0.612908i | 0.321326 | − | 0.0461997i | ||||
\(177\) | −34.9796 | + | 6.74176i | −2.62923 | + | 0.506742i | ||||
\(178\) | 3.14595 | − | 4.41788i | 0.235799 | − | 0.331134i | ||||
\(179\) | 10.2883 | + | 9.80991i | 0.768987 | + | 0.733227i | 0.969133 | − | 0.246539i | \(-0.0792933\pi\) |
−0.200146 | + | 0.979766i | \(0.564142\pi\) | |||||||
\(180\) | −2.06160 | − | 2.89511i | −0.153663 | − | 0.215789i | ||||
\(181\) | 1.71483 | − | 11.9269i | 0.127462 | − | 0.886519i | −0.821293 | − | 0.570507i | \(-0.806747\pi\) |
0.948755 | − | 0.316012i | \(-0.102344\pi\) | |||||||
\(182\) | 13.6501 | − | 1.31001i | 1.01181 | − | 0.0971046i | ||||
\(183\) | − | 8.06975i | − | 0.596533i | ||||||
\(184\) | 1.35660 | + | 4.59996i | 0.100010 | + | 0.339114i | ||||
\(185\) | −3.05817 | + | 1.76564i | −0.224841 | + | 0.129812i | ||||
\(186\) | −15.4321 | − | 7.95582i | −1.13154 | − | 0.583349i | ||||
\(187\) | −17.2847 | + | 21.9793i | −1.26398 | + | 1.60728i | ||||
\(188\) | 8.38334 | + | 3.82854i | 0.611418 | + | 0.279225i | ||||
\(189\) | −2.30376 | − | 6.64599i | −0.167574 | − | 0.483424i | ||||
\(190\) | −0.166695 | − | 0.365012i | −0.0120933 | − | 0.0264807i | ||||
\(191\) | −3.68635 | − | 19.1266i | −0.266735 | − | 1.38395i | −0.830041 | − | 0.557703i | \(-0.811683\pi\) |
0.563306 | − | 0.826248i | \(-0.309529\pi\) | |||||||
\(192\) | 1.63602 | + | 2.08037i | 0.118070 | + | 0.150138i | ||||
\(193\) | 3.91972 | + | 16.1573i | 0.282148 | + | 1.16303i | 0.919700 | + | 0.392622i | \(0.128432\pi\) |
−0.637552 | + | 0.770407i | \(0.720053\pi\) | |||||||
\(194\) | −0.371952 | − | 1.07469i | −0.0267046 | − | 0.0771580i | ||||
\(195\) | 10.2418 | + | 6.58199i | 0.733429 | + | 0.471346i | ||||
\(196\) | −0.339764 | − | 6.99175i | −0.0242688 | − | 0.499411i | ||||
\(197\) | 3.60277 | − | 4.15782i | 0.256687 | − | 0.296232i | −0.612750 | − | 0.790277i | \(-0.709937\pi\) |
0.869437 | + | 0.494045i | \(0.164482\pi\) | |||||||
\(198\) | 11.9013 | + | 12.4817i | 0.845790 | + | 0.887039i | ||||
\(199\) | −2.40207 | + | 1.88901i | −0.170278 | + | 0.133908i | −0.699661 | − | 0.714475i | \(-0.746666\pi\) |
0.529383 | + | 0.848383i | \(0.322423\pi\) | |||||||
\(200\) | −1.37771 | + | 3.98062i | −0.0974185 | + | 0.281472i | ||||
\(201\) | −29.8154 | − | 2.84703i | −2.10302 | − | 0.200814i | ||||
\(202\) | 1.77358 | + | 6.04027i | 0.124789 | + | 0.424992i | ||||
\(203\) | −6.52063 | + | 16.3104i | −0.457659 | + | 1.14476i | ||||
\(204\) | −17.0083 | − | 2.44543i | −1.19082 | − | 0.171214i | ||||
\(205\) | −9.21804 | + | 0.439109i | −0.643816 | + | 0.0306687i | ||||
\(206\) | −6.52222 | − | 11.2968i | −0.454424 | − | 0.787086i | ||||
\(207\) | −11.8538 | + | 15.1103i | −0.823898 | + | 1.05024i | ||||
\(208\) | −4.48856 | − | 2.59147i | −0.311226 | − | 0.179686i | ||||
\(209\) | 1.05272 | + | 1.63806i | 0.0728180 | + | 0.113307i | ||||
\(210\) | 3.60247 | − | 5.06408i | 0.248594 | − | 0.349455i | ||||
\(211\) | −7.13122 | + | 15.6152i | −0.490933 | + | 1.07499i | 0.488378 | + | 0.872632i | \(0.337589\pi\) |
−0.979311 | + | 0.202361i | \(0.935138\pi\) | |||||||
\(212\) | 4.53335 | + | 1.09978i | 0.311352 | + | 0.0755331i | ||||
\(213\) | −8.22312 | − | 5.85566i | −0.563439 | − | 0.401223i | ||||
\(214\) | 3.92199 | + | 1.35741i | 0.268101 | + | 0.0927908i | ||||
\(215\) | −0.593207 | + | 1.48176i | −0.0404564 | + | 0.101055i | ||||
\(216\) | −0.749009 | + | 2.55089i | −0.0509636 | + | 0.173566i | ||||
\(217\) | 2.46188 | − | 17.1811i | 0.167123 | − | 1.16633i | ||||
\(218\) | 5.98445 | − | 9.31199i | 0.405318 | − | 0.630688i | ||||
\(219\) | −3.64053 | + | 1.87682i | −0.246004 | + | 0.126824i | ||||
\(220\) | −0.723381 | + | 3.75326i | −0.0487703 | + | 0.253044i | ||||
\(221\) | 32.7020 | − | 7.93342i | 2.19977 | − | 0.533659i | ||||
\(222\) | 9.77592 | + | 3.91369i | 0.656117 | + | 0.262670i | ||||
\(223\) | 7.37122 | − | 6.38720i | 0.493613 | − | 0.427719i | −0.372149 | − | 0.928173i | \(-0.621379\pi\) |
0.865763 | + | 0.500454i | \(0.166834\pi\) | |||||||
\(224\) | −1.42934 | + | 2.22643i | −0.0955015 | + | 0.148760i | ||||
\(225\) | −16.1849 | + | 4.75233i | −1.07900 | + | 0.316822i | ||||
\(226\) | 0.0103142 | − | 0.00734470i | 0.000686090 | − | 0.000488562i | ||||
\(227\) | 14.2859 | − | 5.71920i | 0.948187 | − | 0.379597i | 0.154548 | − | 0.987985i | \(-0.450608\pi\) |
0.793639 | + | 0.608388i | \(0.208184\pi\) | |||||||
\(228\) | −0.548312 | + | 1.06358i | −0.0363128 | + | 0.0704371i | ||||
\(229\) | −1.12407 | + | 1.94694i | −0.0742805 | + | 0.128658i | −0.900773 | − | 0.434290i | \(-0.856999\pi\) |
0.826493 | + | 0.562948i | \(0.190333\pi\) | |||||||
\(230\) | −4.25186 | − | 0.197483i | −0.280359 | − | 0.0130216i | ||||
\(231\) | −13.8058 | + | 26.8109i | −0.908353 | + | 1.76403i | ||||
\(232\) | 5.58519 | − | 3.58939i | 0.366686 | − | 0.235655i | ||||
\(233\) | 5.98722 | + | 4.70840i | 0.392236 | + | 0.308458i | 0.794728 | − | 0.606966i | \(-0.207613\pi\) |
−0.402492 | + | 0.915423i | \(0.631856\pi\) | |||||||
\(234\) | −1.97291 | − | 20.6612i | −0.128973 | − | 1.35067i | ||||
\(235\) | −5.64460 | + | 5.91988i | −0.368213 | + | 0.386170i | ||||
\(236\) | −1.27946 | + | 13.3991i | −0.0832854 | + | 0.872205i | ||||
\(237\) | 6.69803 | + | 7.72993i | 0.435084 | + | 0.502113i | ||||
\(238\) | −3.25897 | − | 16.8657i | −0.211248 | − | 1.09324i | ||||
\(239\) | −22.6964 | − | 6.66425i | −1.46811 | − | 0.431075i | −0.552622 | − | 0.833432i | \(-0.686373\pi\) |
−0.915483 | + | 0.402357i | \(0.868191\pi\) | |||||||
\(240\) | −2.21975 | + | 0.768264i | −0.143284 | + | 0.0495912i | ||||
\(241\) | 0.276366 | − | 5.80164i | 0.0178023 | − | 0.373716i | −0.972333 | − | 0.233600i | \(-0.924949\pi\) |
0.990135 | − | 0.140116i | \(-0.0447476\pi\) | |||||||
\(242\) | 0.359135 | − | 7.53917i | 0.0230861 | − | 0.484636i | ||||
\(243\) | 19.9857 | − | 6.91711i | 1.28208 | − | 0.443733i | ||||
\(244\) | −2.92558 | − | 0.859029i | −0.187291 | − | 0.0549937i | ||||
\(245\) | 5.96272 | + | 1.74462i | 0.380944 | + | 0.111460i | ||||
\(246\) | 18.0213 | + | 20.7977i | 1.14900 | + | 1.32601i | ||||
\(247\) | 0.222748 | − | 2.33272i | 0.0141731 | − | 0.148428i | ||||
\(248\) | −4.52704 | + | 4.74782i | −0.287467 | + | 0.301487i | ||||
\(249\) | −2.80625 | − | 29.3883i | −0.177839 | − | 1.86241i | ||||
\(250\) | −6.42691 | − | 5.05418i | −0.406474 | − | 0.319654i | ||||
\(251\) | 14.0142 | − | 9.00636i | 0.884566 | − | 0.568476i | −0.0176095 | − | 0.999845i | \(-0.505606\pi\) |
0.902176 | + | 0.431369i | \(0.141969\pi\) | |||||||
\(252\) | −10.5827 | + | 0.509192i | −0.666650 | + | 0.0320761i | ||||
\(253\) | 20.5584 | − | 1.98772i | 1.29249 | − | 0.124967i | ||||
\(254\) | −3.92153 | + | 6.79230i | −0.246059 | + | 0.426187i | ||||
\(255\) | 6.98825 | − | 13.5553i | 0.437621 | − | 0.848867i | ||||
\(256\) | 0.928368 | − | 0.371662i | 0.0580230 | − | 0.0232289i | ||||
\(257\) | 0.289566 | − | 0.206199i | 0.0180626 | − | 0.0128623i | −0.570990 | − | 0.820957i | \(-0.693440\pi\) |
0.589053 | + | 0.808095i | \(0.299501\pi\) | |||||||
\(258\) | 4.56673 | − | 1.34091i | 0.284312 | − | 0.0834816i | ||||
\(259\) | −0.495856 | + | 10.5151i | −0.0308110 | + | 0.653379i | ||||
\(260\) | 3.47646 | − | 3.01237i | 0.215601 | − | 0.186819i | ||||
\(261\) | 24.6821 | + | 9.88123i | 1.52778 | + | 0.611633i | ||||
\(262\) | −0.0343899 | + | 0.00834290i | −0.00212461 | + | 0.000515426i | ||||
\(263\) | 5.67890 | − | 29.4649i | 0.350176 | − | 1.81689i | −0.197625 | − | 0.980278i | \(-0.563323\pi\) |
0.547801 | − | 0.836608i | \(-0.315465\pi\) | |||||||
\(264\) | 10.1311 | − | 5.22294i | 0.623525 | − | 0.321450i | ||||
\(265\) | −2.23836 | + | 3.48295i | −0.137501 | + | 0.213956i | ||||
\(266\) | −1.18411 | − | 0.169672i | −0.0726027 | − | 0.0104032i | ||||
\(267\) | 4.04397 | − | 13.7725i | 0.247487 | − | 0.842864i | ||||
\(268\) | −4.20602 | + | 10.5061i | −0.256924 | + | 0.641764i | ||||
\(269\) | −8.78700 | − | 3.04121i | −0.535753 | − | 0.185426i | 0.0457760 | − | 0.998952i | \(-0.485424\pi\) |
−0.581529 | + | 0.813526i | \(0.697545\pi\) | |||||||
\(270\) | −1.92205 | − | 1.36869i | −0.116972 | − | 0.0832956i | ||||
\(271\) | 23.3868 | + | 5.67359i | 1.42065 | + | 0.344646i | 0.871219 | − | 0.490894i | \(-0.163330\pi\) |
0.549430 | + | 0.835540i | \(0.314845\pi\) | |||||||
\(272\) | −2.69711 | + | 5.90584i | −0.163536 | + | 0.358094i | ||||
\(273\) | 33.0054 | − | 15.0922i | 1.99758 | − | 0.913419i | ||||
\(274\) | 6.94890 | + | 10.8127i | 0.419798 | + | 0.653219i | ||||
\(275\) | 15.7107 | + | 9.07055i | 0.947388 | + | 0.546975i | ||||
\(276\) | 7.37474 | + | 10.3304i | 0.443907 | + | 0.621817i | ||||
\(277\) | −0.390035 | − | 0.675561i | −0.0234349 | − | 0.0405905i | 0.854070 | − | 0.520158i | \(-0.174127\pi\) |
−0.877505 | + | 0.479567i | \(0.840794\pi\) | |||||||
\(278\) | 12.9133 | − | 0.615138i | 0.774490 | − | 0.0368935i | ||||
\(279\) | −26.0030 | − | 3.73867i | −1.55676 | − | 0.223828i | ||||
\(280\) | −1.45243 | − | 1.84510i | −0.0867995 | − | 0.110266i | ||||
\(281\) | −4.14194 | − | 14.1061i | −0.247087 | − | 0.841502i | −0.985863 | − | 0.167551i | \(-0.946414\pi\) |
0.738776 | − | 0.673951i | \(-0.235404\pi\) | |||||||
\(282\) | 24.2812 | + | 2.31857i | 1.44592 | + | 0.138069i | ||||
\(283\) | −8.98255 | + | 25.9534i | −0.533957 | + | 1.54277i | 0.278908 | + | 0.960318i | \(0.410027\pi\) |
−0.812866 | + | 0.582451i | \(0.802094\pi\) | |||||||
\(284\) | −2.99825 | + | 2.35785i | −0.177913 | + | 0.139913i | ||||
\(285\) | −0.732874 | − | 0.768616i | −0.0434117 | − | 0.0455289i | ||||
\(286\) | −14.6174 | + | 16.8694i | −0.864346 | + | 0.997508i | ||||
\(287\) | −13.7438 | + | 23.8313i | −0.811271 | + | 1.40672i | ||||
\(288\) | 3.36882 | + | 2.16501i | 0.198510 | + | 0.127574i | ||||
\(289\) | −8.22685 | − | 23.7699i | −0.483932 | − | 1.39823i | ||||
\(290\) | 1.38919 | + | 5.72633i | 0.0815762 | + | 0.336262i | ||||
\(291\) | −1.86054 | − | 2.36587i | −0.109067 | − | 0.138690i | ||||
\(292\) | 0.292882 | + | 1.51961i | 0.0171396 | + | 0.0889287i | ||||
\(293\) | −6.43757 | − | 14.0963i | −0.376087 | − | 0.823515i | −0.999145 | − | 0.0413398i | \(-0.986837\pi\) |
0.623058 | − | 0.782175i | \(-0.285890\pi\) | |||||||
\(294\) | −6.90196 | − | 17.1926i | −0.402531 | − | 1.00269i | ||||
\(295\) | −10.8666 | − | 4.96261i | −0.632678 | − | 0.288935i | ||||
\(296\) | 2.45951 | − | 3.12752i | 0.142956 | − | 0.181783i | ||||
\(297\) | 10.1769 | + | 5.24657i | 0.590525 | + | 0.304437i | ||||
\(298\) | −2.12855 | + | 1.22892i | −0.123304 | + | 0.0711895i | ||||
\(299\) | −20.9266 | − | 13.4136i | −1.21021 | − | 0.775729i | ||||
\(300\) | 11.1483i | 0.643646i | ||||||||
\(301\) | 2.76176 | + | 3.87442i | 0.159185 | + | 0.223318i | ||||
\(302\) | 2.28128 | − | 15.8667i | 0.131273 | − | 0.913024i | ||||
\(303\) | 9.66439 | + | 13.5717i | 0.555205 | + | 0.779676i | ||||
\(304\) | 0.327218 | + | 0.312002i | 0.0187672 | + | 0.0178945i | ||||
\(305\) | 1.56973 | − | 2.20437i | 0.0898823 | − | 0.126222i | ||||
\(306\) | −25.5298 | + | 4.92046i | −1.45944 | + | 0.281284i | ||||
\(307\) | −0.495766 | + | 0.0712804i | −0.0282949 | + | 0.00406819i | −0.156448 | − | 0.987686i | \(-0.550004\pi\) |
0.128153 | + | 0.991754i | \(0.459095\pi\) | |||||||
\(308\) | 8.25033 | + | 7.85914i | 0.470106 | + | 0.447816i | ||||
\(309\) | −26.0911 | − | 22.6081i | −1.48427 | − | 1.28613i | ||||
\(310\) | −2.66796 | − | 5.17511i | −0.151530 | − | 0.293927i | ||||
\(311\) | 3.64700 | + | 0.173728i | 0.206802 | + | 0.00985121i | 0.150728 | − | 0.988575i | \(-0.451838\pi\) |
0.0560749 | + | 0.998427i | \(0.482141\pi\) | |||||||
\(312\) | −13.4693 | − | 2.59600i | −0.762550 | − | 0.146969i | ||||
\(313\) | −15.8006 | + | 15.0658i | −0.893102 | + | 0.851571i | −0.989612 | − | 0.143761i | \(-0.954080\pi\) |
0.0965106 | + | 0.995332i | \(0.469232\pi\) | |||||||
\(314\) | −2.17302 | − | 15.1137i | −0.122630 | − | 0.852913i | ||||
\(315\) | 2.64492 | − | 9.02372i | 0.149024 | − | 0.508429i | ||||
\(316\) | 3.51540 | − | 1.60543i | 0.197756 | − | 0.0903124i | ||||
\(317\) | 0.208577 | − | 0.859765i | 0.0117148 | − | 0.0482892i | −0.965654 | − | 0.259831i | \(-0.916333\pi\) |
0.977369 | + | 0.211542i | \(0.0678484\pi\) | |||||||
\(318\) | 12.2901 | − | 1.17356i | 0.689195 | − | 0.0658101i | ||||
\(319\) | −10.6269 | − | 26.5446i | −0.594990 | − | 1.48621i | ||||
\(320\) | 0.0422304 | + | 0.886524i | 0.00236075 | + | 0.0495582i | ||||
\(321\) | 10.9841 | 0.613071 | ||||||||
\(322\) | −7.34287 | + | 10.3481i | −0.409202 | + | 0.576675i | ||||
\(323\) | −2.93544 | −0.163333 | ||||||||
\(324\) | −0.236832 | − | 4.97172i | −0.0131573 | − | 0.276206i | ||||
\(325\) | −8.11416 | − | 20.2682i | −0.450092 | − | 1.12428i | ||||
\(326\) | −8.39387 | + | 0.801518i | −0.464894 | + | 0.0443920i | ||||
\(327\) | 6.90674 | − | 28.4700i | 0.381944 | − | 1.57439i | ||||
\(328\) | 9.45831 | − | 4.31947i | 0.522248 | − | 0.238503i | ||||
\(329\) | 5.76002 | + | 23.6936i | 0.317560 | + | 1.30627i | ||||
\(330\) | 1.43969 | + | 10.0132i | 0.0792521 | + | 0.551210i | ||||
\(331\) | 5.91745 | − | 5.64227i | 0.325252 | − | 0.310127i | −0.509806 | − | 0.860290i | \(-0.670283\pi\) |
0.835058 | + | 0.550162i | \(0.185434\pi\) | |||||||
\(332\) | −10.9531 | − | 2.11103i | −0.601129 | − | 0.115858i | ||||
\(333\) | 15.9150 | + | 0.758126i | 0.872138 | + | 0.0415450i | ||||
\(334\) | 1.80228 | + | 3.49594i | 0.0986164 | + | 0.191289i | ||||
\(335\) | −7.59073 | − | 6.57741i | −0.414726 | − | 0.359362i | ||||
\(336\) | −1.64759 | + | 6.80567i | −0.0898834 | + | 0.371280i | ||||
\(337\) | 31.1322 | − | 4.47613i | 1.69588 | − | 0.243830i | 0.774521 | − | 0.632548i | \(-0.217991\pi\) |
0.921357 | + | 0.388718i | \(0.127082\pi\) | |||||||
\(338\) | 13.6124 | − | 2.62357i | 0.740415 | − | 0.142703i | ||||
\(339\) | 0.0194385 | − | 0.0272976i | 0.00105576 | − | 0.00148260i | ||||
\(340\) | −4.17040 | − | 3.97647i | −0.226172 | − | 0.215654i | ||||
\(341\) | 16.3882 | + | 23.0140i | 0.887471 | + | 1.24628i | ||||
\(342\) | −0.257667 | + | 1.79212i | −0.0139330 | + | 0.0969065i | ||||
\(343\) | 13.9793 | − | 12.1483i | 0.754809 | − | 0.655945i | ||||
\(344\) | − | 1.79835i | − | 0.0969606i | ||||||
\(345\) | −10.8050 | + | 3.18658i | −0.581724 | + | 0.171560i | ||||
\(346\) | 13.5307 | − | 7.81197i | 0.727417 | − | 0.419974i | ||||
\(347\) | 15.2836 | + | 7.87924i | 0.820467 | + | 0.422980i | 0.816735 | − | 0.577013i | \(-0.195782\pi\) |
0.00373174 | + | 0.999993i | \(0.498812\pi\) | |||||||
\(348\) | 10.8618 | − | 13.8119i | 0.582252 | − | 0.740394i | ||||
\(349\) | −11.3097 | − | 5.16495i | −0.605393 | − | 0.276474i | 0.0890437 | − | 0.996028i | \(-0.471619\pi\) |
−0.694436 | + | 0.719554i | \(0.744346\pi\) | |||||||
\(350\) | −10.5300 | + | 3.65010i | −0.562851 | + | 0.195106i | ||||
\(351\) | −5.72412 | − | 12.5341i | −0.305531 | − | 0.669019i | ||||
\(352\) | −0.815050 | − | 4.22888i | −0.0434423 | − | 0.225400i | ||||
\(353\) | 15.0139 | + | 19.0917i | 0.799110 | + | 1.01615i | 0.999337 | + | 0.0364016i | \(0.0115895\pi\) |
−0.200227 | + | 0.979749i | \(0.564168\pi\) | |||||||
\(354\) | 8.39852 | + | 34.6192i | 0.446376 | + | 1.83999i | ||||
\(355\) | −1.10723 | − | 3.19912i | −0.0587655 | − | 0.169792i | ||||
\(356\) | −4.56256 | − | 2.93218i | −0.241815 | − | 0.155405i | ||||
\(357\) | −22.7501 | − | 39.3609i | −1.20406 | − | 2.08320i | ||||
\(358\) | 9.30926 | − | 10.7435i | 0.492010 | − | 0.567810i | ||||
\(359\) | −10.8967 | − | 11.4281i | −0.575106 | − | 0.603153i | 0.370355 | − | 0.928890i | \(-0.379236\pi\) |
−0.945460 | + | 0.325737i | \(0.894388\pi\) | |||||||
\(360\) | −2.79374 | + | 2.19702i | −0.147243 | + | 0.115793i | ||||
\(361\) | 6.14743 | − | 17.7618i | 0.323549 | − | 0.934834i | ||||
\(362\) | −11.9950 | − | 1.14538i | −0.630442 | − | 0.0601999i | ||||
\(363\) | −5.62785 | − | 19.1667i | −0.295385 | − | 1.00599i | ||||
\(364\) | −1.95802 | − | 13.5723i | −0.102628 | − | 0.711380i | ||||
\(365\) | −1.35954 | − | 0.195473i | −0.0711618 | − | 0.0102315i | ||||
\(366\) | −8.06061 | + | 0.383974i | −0.421335 | + | 0.0200707i | ||||
\(367\) | 3.80317 | + | 6.58729i | 0.198524 | + | 0.343853i | 0.948050 | − | 0.318121i | \(-0.103052\pi\) |
−0.749526 | + | 0.661975i | \(0.769719\pi\) | |||||||
\(368\) | 4.53020 | − | 1.57394i | 0.236153 | − | 0.0820474i | ||||
\(369\) | 36.0603 | + | 20.8194i | 1.87723 | + | 1.08382i | ||||
\(370\) | 1.90915 | + | 2.97070i | 0.0992520 | + | 0.154439i | ||||
\(371\) | 5.13243 | + | 11.2242i | 0.266463 | + | 0.582734i | ||||
\(372\) | −7.21252 | + | 15.7932i | −0.373952 | + | 0.818840i | ||||
\(373\) | 32.7647 | + | 7.94862i | 1.69649 | + | 0.411564i | 0.963293 | − | 0.268452i | \(-0.0865121\pi\) |
0.733197 | + | 0.680016i | \(0.238027\pi\) | |||||||
\(374\) | 22.7768 | + | 16.2193i | 1.17776 | + | 0.838679i | ||||
\(375\) | −20.4490 | − | 7.07747i | −1.05598 | − | 0.365479i | ||||
\(376\) | 3.42531 | − | 8.55601i | 0.176647 | − | 0.441242i | ||||
\(377\) | −9.69448 | + | 33.0164i | −0.499291 | + | 1.70043i | ||||
\(378\) | −6.52884 | + | 2.61738i | −0.335807 | + | 0.134623i | ||||
\(379\) | −2.21193 | + | 3.44183i | −0.113619 | + | 0.176795i | −0.893406 | − | 0.449250i | \(-0.851691\pi\) |
0.779787 | + | 0.626045i | \(0.215327\pi\) | |||||||
\(380\) | −0.356666 | + | 0.183874i | −0.0182966 | + | 0.00943255i | ||||
\(381\) | −3.92839 | + | 20.3824i | −0.201257 | + | 1.04422i | ||||
\(382\) | −18.9295 | + | 4.59225i | −0.968518 | + | 0.234960i | ||||
\(383\) | 16.5541 | + | 6.62725i | 0.845873 | + | 0.338636i | 0.753790 | − | 0.657115i | \(-0.228223\pi\) |
0.0920825 | + | 0.995751i | \(0.470648\pi\) | |||||||
\(384\) | 2.00017 | − | 1.73316i | 0.102071 | − | 0.0884449i | ||||
\(385\) | −8.98652 | + | 4.63831i | −0.457995 | + | 0.236390i | ||||
\(386\) | 15.9525 | − | 4.68408i | 0.811962 | − | 0.238413i | ||||
\(387\) | 5.86620 | − | 4.17730i | 0.298196 | − | 0.212344i | ||||
\(388\) | −1.05577 | + | 0.422667i | −0.0535986 | + | 0.0214577i | ||||
\(389\) | −12.6854 | + | 24.6062i | −0.643174 | + | 1.24758i | 0.311589 | + | 0.950217i | \(0.399139\pi\) |
−0.954763 | + | 0.297367i | \(0.903892\pi\) | |||||||
\(390\) | 6.08721 | − | 10.5434i | 0.308238 | − | 0.533884i | ||||
\(391\) | −14.2350 | + | 27.6928i | −0.719897 | + | 1.40048i | ||||
\(392\) | −6.96766 | + | 0.672060i | −0.351920 | + | 0.0339441i | ||||
\(393\) | −0.0787889 | + | 0.0506345i | −0.00397437 | + | 0.00255418i | ||||
\(394\) | −4.32454 | − | 3.40085i | −0.217867 | − | 0.171333i | ||||
\(395\) | 0.326040 | + | 3.41445i | 0.0164049 | + | 0.171799i | ||||
\(396\) | 11.9013 | − | 12.4817i | 0.598064 | − | 0.627231i | ||||
\(397\) | −0.747261 | + | 7.82567i | −0.0375040 | + | 0.392759i | 0.957158 | + | 0.289568i | \(0.0935115\pi\) |
−0.994662 | + | 0.103192i | \(0.967095\pi\) | |||||||
\(398\) | 2.00116 | + | 2.30946i | 0.100309 | + | 0.115763i | ||||
\(399\) | −3.10840 | + | 0.600637i | −0.155614 | + | 0.0300694i | ||||
\(400\) | 4.04166 | + | 1.18674i | 0.202083 | + | 0.0593370i | ||||
\(401\) | −5.59182 | + | 1.93535i | −0.279242 | + | 0.0966467i | −0.463100 | − | 0.886306i | \(-0.653263\pi\) |
0.183857 | + | 0.982953i | \(0.441142\pi\) | |||||||
\(402\) | −1.42513 | + | 29.9171i | −0.0710789 | + | 1.49213i | ||||
\(403\) | 1.61783 | − | 33.9625i | 0.0805900 | − | 1.69179i | ||||
\(404\) | 5.94904 | − | 2.05898i | 0.295976 | − | 0.102438i | ||||
\(405\) | 4.23861 | + | 1.24457i | 0.210618 | + | 0.0618430i | ||||
\(406\) | 16.6022 | + | 5.73717i | 0.823951 | + | 0.284731i | ||||
\(407\) | −11.2213 | − | 12.9501i | −0.556218 | − | 0.641910i | ||||
\(408\) | −1.63337 | + | 17.1054i | −0.0808639 | + | 0.846846i | ||||
\(409\) | −20.6607 | + | 21.6683i | −1.02161 | + | 1.07143i | −0.0241808 | + | 0.999708i | \(0.507698\pi\) |
−0.997425 | + | 0.0717214i | \(0.977151\pi\) | |||||||
\(410\) | 0.877224 | + | 9.18671i | 0.0433230 | + | 0.453699i | ||||
\(411\) | 26.7392 | + | 21.0279i | 1.31895 | + | 1.03723i | ||||
\(412\) | −10.9737 | + | 7.05235i | −0.540634 | + | 0.347444i | ||||
\(413\) | −29.9494 | + | 19.2675i | −1.47371 | + | 0.948094i | ||||
\(414\) | 15.6572 | + | 11.1214i | 0.769508 | + | 0.546589i | ||||
\(415\) | 4.95005 | − | 8.57374i | 0.242988 | − | 0.420868i | ||||
\(416\) | −2.37496 | + | 4.60678i | −0.116442 | + | 0.225866i | ||||
\(417\) | 31.7644 | − | 12.7165i | 1.55551 | − | 0.622731i | ||||
\(418\) | 1.58612 | − | 1.12947i | 0.0775795 | − | 0.0552441i | ||||
\(419\) | 8.85802 | − | 2.60095i | 0.432743 | − | 0.127065i | −0.0581044 | − | 0.998311i | \(-0.518506\pi\) |
0.490847 | + | 0.871246i | \(0.336687\pi\) | |||||||
\(420\) | −5.22976 | − | 3.35743i | −0.255186 | − | 0.163826i | ||||
\(421\) | 25.0276 | − | 21.6866i | 1.21977 | − | 1.05694i | 0.223153 | − | 0.974783i | \(-0.428365\pi\) |
0.996619 | − | 0.0821559i | \(-0.0261805\pi\) | |||||||
\(422\) | 15.9368 | + | 6.38014i | 0.775792 | + | 0.310580i | ||||
\(423\) | 35.8661 | − | 8.70102i | 1.74387 | − | 0.423058i | ||||
\(424\) | 0.882828 | − | 4.58055i | 0.0428739 | − | 0.222451i | ||||
\(425\) | −24.3084 | + | 12.5318i | −1.17913 | + | 0.607883i | ||||
\(426\) | −5.45775 | + | 8.49243i | −0.264429 | + | 0.411460i | ||||
\(427\) | −3.00184 | − | 7.48784i | −0.145269 | − | 0.362362i | ||||
\(428\) | 1.16926 | − | 3.98213i | 0.0565183 | − | 0.192484i | ||||
\(429\) | −21.9563 | + | 54.8442i | −1.06006 | + | 2.64790i | ||||
\(430\) | 1.50831 | + | 0.522030i | 0.0727370 | + | 0.0251745i | ||||
\(431\) | −19.1293 | − | 13.6219i | −0.921425 | − | 0.656144i | 0.0176541 | − | 0.999844i | \(-0.494380\pi\) |
−0.939079 | + | 0.343700i | \(0.888320\pi\) | |||||||
\(432\) | 2.58364 | + | 0.626785i | 0.124306 | + | 0.0301562i | ||||
\(433\) | −13.6802 | + | 29.9555i | −0.657430 | + | 1.43957i | 0.227467 | + | 0.973786i | \(0.426956\pi\) |
−0.884898 | + | 0.465786i | \(0.845772\pi\) | |||||||
\(434\) | −17.2788 | − | 1.64158i | −0.829409 | − | 0.0787985i | ||||
\(435\) | 8.43126 | + | 13.1193i | 0.404248 | + | 0.629022i | ||||
\(436\) | −9.58620 | − | 5.53459i | −0.459096 | − | 0.265059i | ||||
\(437\) | 1.49817 | + | 1.56750i | 0.0716671 | + | 0.0749839i | ||||
\(438\) | 2.04792 | + | 3.54710i | 0.0978534 | + | 0.169487i | ||||
\(439\) | −16.5596 | + | 0.788831i | −0.790346 | + | 0.0376488i | −0.438873 | − | 0.898549i | \(-0.644622\pi\) |
−0.351473 | + | 0.936198i | \(0.614319\pi\) | |||||||
\(440\) | 3.78342 | + | 0.543974i | 0.180368 | + | 0.0259330i | ||||
\(441\) | −18.3771 | − | 21.1674i | −0.875100 | − | 1.00797i | ||||
\(442\) | −9.48046 | − | 32.2875i | −0.450939 | − | 1.53576i | ||||
\(443\) | −9.35177 | − | 0.892986i | −0.444316 | − | 0.0424270i | −0.129499 | − | 0.991580i | \(-0.541337\pi\) |
−0.314817 | + | 0.949152i | \(0.601943\pi\) | |||||||
\(444\) | 3.44410 | − | 9.95107i | 0.163450 | − | 0.472257i | ||||
\(445\) | 3.78370 | − | 2.97553i | 0.179365 | − | 0.141054i | ||||
\(446\) | −6.73070 | − | 7.05896i | −0.318708 | − | 0.334251i | ||||
\(447\) | −4.25983 | + | 4.91611i | −0.201483 | + | 0.232524i | ||||
\(448\) | 2.29192 | + | 1.32178i | 0.108283 | + | 0.0624482i | ||||
\(449\) | −30.1106 | − | 19.3509i | −1.42101 | − | 0.913226i | −0.999981 | − | 0.00617849i | \(-0.998033\pi\) |
−0.421027 | − | 0.907048i | \(-0.638330\pi\) | |||||||
\(450\) | 5.51706 | + | 15.9405i | 0.260077 | + | 0.751442i | ||||
\(451\) | −10.5575 | − | 43.5186i | −0.497134 | − | 2.04921i | ||||
\(452\) | −0.00782715 | − | 0.00995304i | −0.000368158 | − | 0.000468151i | ||||
\(453\) | −8.02891 | − | 41.6580i | −0.377231 | − | 1.95726i | ||||
\(454\) | −6.39248 | − | 13.9976i | −0.300014 | − | 0.656938i | ||||
\(455\) | 11.9517 | + | 2.29756i | 0.560302 | + | 0.107711i | ||||
\(456\) | 1.08846 | + | 0.497084i | 0.0509719 | + | 0.0232781i | ||||
\(457\) | −21.8292 | + | 27.7581i | −1.02113 | + | 1.29847i | −0.0674252 | + | 0.997724i | \(0.521478\pi\) |
−0.953704 | + | 0.300747i | \(0.902764\pi\) | |||||||
\(458\) | 1.99822 | + | 1.03016i | 0.0933708 | + | 0.0481360i | ||||
\(459\) | −14.9485 | + | 8.63050i | −0.697735 | + | 0.402837i | ||||
\(460\) | 0.00505279 | + | 4.25644i | 0.000235588 | + | 0.198458i | ||||
\(461\) | − | 23.3185i | − | 1.08605i | −0.839717 | − | 0.543024i | \(-0.817279\pi\) | ||
0.839717 | − | 0.543024i | \(-0.182721\pi\) | |||||||
\(462\) | 27.4375 | + | 12.5144i | 1.27651 | + | 0.582223i | ||||
\(463\) | −3.54679 | + | 24.6685i | −0.164833 | + | 1.14644i | 0.724531 | + | 0.689242i | \(0.242056\pi\) |
−0.889365 | + | 0.457199i | \(0.848853\pi\) | |||||||
\(464\) | −3.85107 | − | 5.40808i | −0.178782 | − | 0.251064i | ||||
\(465\) | −11.1524 | − | 10.6338i | −0.517178 | − | 0.493129i | ||||
\(466\) | 4.41819 | − | 6.20448i | 0.204669 | − | 0.287417i | ||||
\(467\) | −4.48812 | + | 0.865014i | −0.207685 | + | 0.0400281i | −0.292033 | − | 0.956408i | \(-0.594332\pi\) |
0.0843473 | + | 0.996436i | \(0.473119\pi\) | |||||||
\(468\) | −20.5440 | + | 2.95378i | −0.949645 | + | 0.136538i | ||||
\(469\) | −28.7245 | + | 8.44920i | −1.32637 | + | 0.390148i | ||||
\(470\) | 6.18176 | + | 5.35652i | 0.285143 | + | 0.247078i | ||||
\(471\) | −18.5175 | − | 35.9189i | −0.853241 | − | 1.65506i | ||||
\(472\) | 13.4448 | + | 0.640453i | 0.618845 | + | 0.0294792i | ||||
\(473\) | −7.60501 | − | 1.46574i | −0.349679 | − | 0.0673950i | ||||
\(474\) | 7.40247 | − | 7.05824i | 0.340007 | − | 0.324196i | ||||
\(475\) | 0.271036 | + | 1.88509i | 0.0124360 | + | 0.0864941i | ||||
\(476\) | −16.6915 | + | 4.05778i | −0.765056 | + | 0.185988i | ||||
\(477\) | 16.9924 | − | 7.76016i | 0.778027 | − | 0.355313i | ||||
\(478\) | −5.57677 | + | 22.9877i | −0.255075 | + | 1.05144i | ||||
\(479\) | 3.19754 | − | 0.305328i | 0.146099 | − | 0.0139508i | −0.0217501 | − | 0.999763i | \(-0.506924\pi\) |
0.167849 | + | 0.985813i | \(0.446318\pi\) | |||||||
\(480\) | 0.873013 | + | 2.18068i | 0.0398474 | + | 0.0995341i | ||||
\(481\) | 0.981220 | + | 20.5983i | 0.0447398 | + | 0.939204i | ||||
\(482\) | −5.80822 | −0.264557 | ||||||||
\(483\) | −9.40737 | + | 32.2371i | −0.428050 | + | 1.46684i | ||||
\(484\) | −7.54772 | −0.343078 | ||||||||
\(485\) | −0.0480258 | − | 1.00818i | −0.00218074 | − | 0.0457793i | ||||
\(486\) | −7.86023 | − | 19.6339i | −0.356547 | − | 0.890612i | ||||
\(487\) | −13.2636 | + | 1.26652i | −0.601033 | + | 0.0573917i | −0.391138 | − | 0.920332i | \(-0.627918\pi\) |
−0.209895 | + | 0.977724i | \(0.567312\pi\) | |||||||
\(488\) | −0.718851 | + | 2.96314i | −0.0325409 | + | 0.134135i | ||||
\(489\) | −20.2996 | + | 9.27054i | −0.917982 | + | 0.419228i | ||||
\(490\) | 1.45892 | − | 6.03898i | 0.0659075 | − | 0.272813i | ||||
\(491\) | 1.95021 | + | 13.5640i | 0.0880117 | + | 0.612135i | 0.985318 | + | 0.170727i | \(0.0546116\pi\) |
−0.897307 | + | 0.441408i | \(0.854479\pi\) | |||||||
\(492\) | 19.9166 | − | 18.9905i | 0.897912 | − | 0.856157i | ||||
\(493\) | 42.3260 | + | 8.15767i | 1.90627 | + | 0.367403i | ||||
\(494\) | −2.34068 | − | 0.111500i | −0.105312 | − | 0.00501664i | ||||
\(495\) | 7.01390 | + | 13.6051i | 0.315251 | + | 0.611502i | ||||
\(496\) | 4.95785 | + | 4.29600i | 0.222614 | + | 0.192896i | ||||
\(497\) | −9.80838 | − | 2.37452i | −0.439966 | − | 0.106512i | ||||
\(498\) | −29.2215 | + | 4.20142i | −1.30945 | + | 0.188270i | ||||
\(499\) | 26.7277 | − | 5.15135i | 1.19650 | − | 0.230606i | 0.448178 | − | 0.893944i | \(-0.352073\pi\) |
0.748320 | + | 0.663338i | \(0.230861\pi\) | |||||||
\(500\) | −4.74265 | + | 6.66012i | −0.212098 | + | 0.297850i | ||||
\(501\) | 7.53374 | + | 7.18340i | 0.336583 | + | 0.320931i | ||||
\(502\) | −9.66298 | − | 13.5698i | −0.431280 | − | 0.605648i | ||||
\(503\) | 0.647913 | − | 4.50633i | 0.0288890 | − | 0.200927i | −0.970265 | − | 0.242044i | \(-0.922182\pi\) |
0.999154 | + | 0.0411162i | \(0.0130914\pi\) | |||||||
\(504\) | 1.01216 | + | 10.5465i | 0.0450853 | + | 0.469779i | ||||
\(505\) | 5.58724i | 0.248629i | ||||||||
\(506\) | −2.96367 | − | 20.4405i | −0.131751 | − | 0.908691i | ||||
\(507\) | 31.7741 | − | 18.3448i | 1.41114 | − | 0.814721i | ||||
\(508\) | 6.97120 | + | 3.59390i | 0.309297 | + | 0.159454i | ||||
\(509\) | −11.4542 | + | 14.5653i | −0.507700 | + | 0.645593i | −0.970566 | − | 0.240835i | \(-0.922579\pi\) |
0.462866 | + | 0.886428i | \(0.346821\pi\) | |||||||
\(510\) | −13.8725 | − | 6.33535i | −0.614283 | − | 0.280534i | ||||
\(511\) | −2.67986 | + | 3.09571i | −0.118550 | + | 0.136946i | ||||
\(512\) | −0.415415 | − | 0.909632i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | 0.227482 | + | 1.18029i | 0.0100436 | + | 0.0521110i | ||||
\(514\) | −0.219743 | − | 0.279426i | −0.00969246 | − | 0.0123250i | ||||
\(515\) | −2.72946 | − | 11.2510i | −0.120274 | − | 0.495777i | ||||
\(516\) | −1.55669 | − | 4.49776i | −0.0685294 | − | 0.198003i | ||||
\(517\) | −33.3905 | − | 21.4588i | −1.46851 | − | 0.943756i | ||||
\(518\) | 10.5268 | − | 0.00503632i | 0.462522 | − | 0.000221283i | ||||
\(519\) | 27.0788 | − | 31.2506i | 1.18863 | − | 1.37175i | ||||
\(520\) | −3.17437 | − | 3.32919i | −0.139205 | − | 0.145995i | ||||
\(521\) | 19.4494 | − | 15.2952i | 0.852095 | − | 0.670095i | −0.0934364 | − | 0.995625i | \(-0.529785\pi\) |
0.945532 | + | 0.325530i | \(0.105543\pi\) | |||||||
\(522\) | 8.69562 | − | 25.1243i | 0.380597 | − | 1.09966i | ||||
\(523\) | −20.3438 | − | 1.94260i | −0.889574 | − | 0.0849440i | −0.359747 | − | 0.933050i | \(-0.617137\pi\) |
−0.529827 | + | 0.848106i | \(0.677743\pi\) | |||||||
\(524\) | 0.00996978 | + | 0.0339540i | 0.000435532 | + | 0.00148329i | ||||
\(525\) | −23.1764 | + | 18.2440i | −1.01150 | + | 0.796235i | ||||
\(526\) | −29.7018 | − | 4.27047i | −1.29506 | − | 0.186201i | ||||
\(527\) | −42.5441 | + | 2.02663i | −1.85325 | + | 0.0882812i | ||||
\(528\) | −5.69908 | − | 9.87109i | −0.248021 | − | 0.429584i | ||||
\(529\) | 22.0529 | − | 6.53222i | 0.958821 | − | 0.284010i | ||||
\(530\) | 3.58551 | + | 2.07009i | 0.155745 | + | 0.0899192i | ||||
\(531\) | 29.1411 | + | 45.3444i | 1.26461 | + | 1.96778i | ||||
\(532\) | −0.113137 | + | 1.19085i | −0.00490512 | + | 0.0516297i | ||||
\(533\) | −22.3875 | + | 49.0219i | −0.969712 | + | 2.12337i | ||||
\(534\) | −13.9493 | − | 3.38407i | −0.603646 | − | 0.146443i | ||||
\(535\) | 3.00046 | + | 2.13662i | 0.129721 | + | 0.0923742i | ||||
\(536\) | 10.6944 | + | 3.70136i | 0.461926 | + | 0.159874i | ||||
\(537\) | 13.9831 | − | 34.9282i | 0.603417 | − | 1.50726i | ||||
\(538\) | −2.61966 | + | 8.92175i | −0.112942 | + | 0.384644i | ||||
\(539\) | −2.83693 | + | 30.0132i | −0.122195 | + | 1.29276i | ||||
\(540\) | −1.27568 | + | 1.98500i | −0.0548966 | + | 0.0854207i | ||||
\(541\) | −21.0734 | + | 10.8641i | −0.906018 | + | 0.467085i | −0.847255 | − | 0.531187i | \(-0.821746\pi\) |
−0.0587636 | + | 0.998272i | \(0.518716\pi\) | |||||||
\(542\) | 4.55437 | − | 23.6303i | 0.195627 | − | 1.01501i | ||||
\(543\) | −30.9914 | + | 7.51844i | −1.32997 | + | 0.322647i | ||||
\(544\) | 6.02748 | + | 2.41304i | 0.258426 | + | 0.103458i | ||||
\(545\) | 7.42466 | − | 6.43350i | 0.318037 | − | 0.275581i | ||||
\(546\) | −16.6455 | − | 32.2499i | −0.712363 | − | 1.38017i | ||||
\(547\) | −26.9219 | + | 7.90498i | −1.15110 | + | 0.337992i | −0.800967 | − | 0.598709i | \(-0.795681\pi\) |
−0.350130 | + | 0.936701i | \(0.613862\pi\) | |||||||
\(548\) | 10.4698 | − | 7.45552i | 0.447248 | − | 0.318484i | ||||
\(549\) | −11.3355 | + | 4.53806i | −0.483789 | + | 0.193680i | ||||
\(550\) | 8.31273 | − | 16.1245i | 0.354456 | − | 0.687549i | ||||
\(551\) | 1.50086 | − | 2.59956i | 0.0639387 | − | 0.110745i | ||||
\(552\) | 9.96780 | − | 7.85793i | 0.424258 | − | 0.334456i | ||||
\(553\) | 9.09046 | + | 4.68096i | 0.386566 | + | 0.199054i | ||||
\(554\) | −0.656237 | + | 0.421738i | −0.0278808 | + | 0.0179179i | ||||
\(555\) | 7.34636 | + | 5.77724i | 0.311836 | + | 0.245230i | ||||
\(556\) | −1.22888 | − | 12.8694i | −0.0521162 | − | 0.545786i | ||||
\(557\) | −2.29042 | + | 2.40212i | −0.0970480 | + | 0.101781i | −0.770467 | − | 0.637480i | \(-0.779977\pi\) |
0.673419 | + | 0.739261i | \(0.264825\pi\) | |||||||
\(558\) | −2.49716 | + | 26.1514i | −0.105713 | + | 1.10708i | ||||
\(559\) | 6.10379 | + | 7.04415i | 0.258163 | + | 0.297936i | ||||
\(560\) | −1.77390 | + | 1.53858i | −0.0749611 | + | 0.0650169i | ||||
\(561\) | 71.0056 | + | 20.8491i | 2.99786 | + | 0.880250i | ||||
\(562\) | −13.8931 | + | 4.80844i | −0.586044 | + | 0.202832i | ||||
\(563\) | 2.00969 | − | 42.1886i | 0.0846984 | − | 1.77804i | −0.413042 | − | 0.910712i | \(-0.635534\pi\) |
0.497740 | − | 0.867326i | \(-0.334163\pi\) | |||||||
\(564\) | 1.16060 | − | 24.3640i | 0.0488701 | − | 1.02591i | ||||
\(565\) | 0.0106199 | − | 0.00367557i | 0.000446781 | − | 0.000154632i | ||||
\(566\) | 26.3514 | + | 7.73747i | 1.10763 | + | 0.325230i | ||||
\(567\) | 9.94822 | − | 8.62852i | 0.417786 | − | 0.362364i | ||||
\(568\) | 2.49784 | + | 2.88266i | 0.104807 | + | 0.120954i | ||||
\(569\) | −0.179308 | + | 1.87780i | −0.00751699 | + | 0.0787215i | −0.998452 | − | 0.0556210i | \(-0.982286\pi\) |
0.990935 | + | 0.134342i | \(0.0428922\pi\) | |||||||
\(570\) | −0.732874 | + | 0.768616i | −0.0306967 | + | 0.0321938i | ||||
\(571\) | −2.87700 | − | 30.1293i | −0.120399 | − | 1.26087i | −0.830598 | − | 0.556872i | \(-0.812001\pi\) |
0.710200 | − | 0.704000i | \(-0.248605\pi\) | |||||||
\(572\) | 17.5458 | + | 13.7982i | 0.733627 | + | 0.576931i | ||||
\(573\) | −43.3684 | + | 27.8712i | −1.81174 | + | 1.16434i | ||||
\(574\) | 24.4582 | + | 12.5943i | 1.02087 | + | 0.525676i | ||||
\(575\) | 19.0982 | + | 6.58458i | 0.796450 | + | 0.274596i | ||||
\(576\) | 2.00226 | − | 3.46802i | 0.0834276 | − | 0.144501i | ||||
\(577\) | 2.31636 | − | 4.49312i | 0.0964315 | − | 0.187051i | −0.835686 | − | 0.549208i | \(-0.814929\pi\) |
0.932117 | + | 0.362157i | \(0.117960\pi\) | |||||||
\(578\) | −23.3515 | + | 9.34855i | −0.971296 | + | 0.388848i | ||||
\(579\) | 35.8433 | − | 25.5239i | 1.48960 | − | 1.06074i | ||||
\(580\) | 5.65374 | − | 1.66009i | 0.234759 | − | 0.0689314i | ||||
\(581\) | −13.5359 | − | 26.2253i | −0.561566 | − | 1.08801i | ||||
\(582\) | −2.27466 | + | 1.97101i | −0.0942877 | + | 0.0817008i | ||||
\(583\) | −18.6510 | − | 7.46674i | −0.772447 | − | 0.309241i | ||||
\(584\) | 1.50396 | − | 0.364856i | 0.0622342 | − | 0.0150979i | ||||
\(585\) | 3.48617 | − | 18.0880i | 0.144136 | − | 0.747846i | ||||
\(586\) | −13.7740 | + | 7.10101i | −0.569000 | + | 0.293340i | ||||
\(587\) | 20.0639 | − | 31.2201i | 0.828126 | − | 1.28859i | −0.126855 | − | 0.991921i | \(-0.540488\pi\) |
0.954981 | − | 0.296668i | \(-0.0958755\pi\) | |||||||
\(588\) | −16.8447 | + | 7.71220i | −0.694663 | + | 0.318046i | ||||
\(589\) | −0.835623 | + | 2.84587i | −0.0344313 | + | 0.117262i | ||||
\(590\) | −4.43994 | + | 11.0904i | −0.182789 | + | 0.456586i | ||||
\(591\) | −13.7597 | − | 4.76228i | −0.565999 | − | 0.195894i | ||||
\(592\) | −3.24101 | − | 2.30791i | −0.133205 | − | 0.0948545i | ||||
\(593\) | −19.7058 | − | 4.78059i | −0.809222 | − | 0.196315i | −0.190258 | − | 0.981734i | \(-0.560932\pi\) |
−0.618964 | + | 0.785419i | \(0.712447\pi\) | |||||||
\(594\) | 4.75639 | − | 10.4150i | 0.195157 | − | 0.427335i | ||||
\(595\) | 1.44194 | − | 15.1774i | 0.0591136 | − | 0.622212i | ||||
\(596\) | 1.32881 | + | 2.06767i | 0.0544302 | + | 0.0846950i | ||||
\(597\) | 7.00411 | + | 4.04383i | 0.286659 | + | 0.165503i | ||||
\(598\) | −12.4027 | + | 21.5411i | −0.507184 | + | 0.880881i | ||||
\(599\) | 17.8706 | + | 30.9528i | 0.730173 | + | 1.26470i | 0.956809 | + | 0.290718i | \(0.0938940\pi\) |
−0.226636 | + | 0.973980i | \(0.572773\pi\) | |||||||
\(600\) | 11.1356 | − | 0.530456i | 0.454611 | − | 0.0216558i | ||||
\(601\) | 20.2121 | + | 2.90606i | 0.824470 | + | 0.118541i | 0.541620 | − | 0.840623i | \(-0.317811\pi\) |
0.282850 | + | 0.959164i | \(0.408720\pi\) | |||||||
\(602\) | 3.73862 | − | 2.94298i | 0.152375 | − | 0.119947i | ||||
\(603\) | 12.7676 | + | 43.4826i | 0.519939 | + | 1.77075i | ||||
\(604\) | −15.9572 | − | 1.52373i | −0.649291 | − | 0.0619998i | ||||
\(605\) | 2.19097 | − | 6.33040i | 0.0890757 | − | 0.257367i | ||||
\(606\) | 13.0965 | − | 10.2992i | 0.532009 | − | 0.418377i | ||||
\(607\) | −7.47568 | − | 7.84026i | −0.303428 | − | 0.318226i | 0.554313 | − | 0.832308i | \(-0.312981\pi\) |
−0.857741 | + | 0.514082i | \(0.828133\pi\) | |||||||
\(608\) | 0.296079 | − | 0.341693i | 0.0120076 | − | 0.0138575i | ||||
\(609\) | 46.4889 | − | 0.0222416i | 1.88383 | − | 0.000901274i | ||||
\(610\) | −2.27657 | − | 1.46306i | −0.0921755 | − | 0.0592376i | ||||
\(611\) | 15.6230 | + | 45.1398i | 0.632040 | + | 1.82616i | ||||
\(612\) | 6.12964 | + | 25.2667i | 0.247776 | + | 1.02135i | ||||
\(613\) | 4.39079 | + | 5.58334i | 0.177342 | + | 0.225509i | 0.866595 | − | 0.499012i | \(-0.166304\pi\) |
−0.689253 | + | 0.724521i | \(0.742061\pi\) | |||||||
\(614\) | 0.0947892 | + | 0.491813i | 0.00382538 | + | 0.0198480i | ||||
\(615\) | 10.1462 | + | 22.2170i | 0.409133 | + | 0.895877i | ||||
\(616\) | 7.45767 | − | 8.61494i | 0.300478 | − | 0.347106i | ||||
\(617\) | 22.9690 | + | 10.4896i | 0.924696 | + | 0.422294i | 0.820100 | − | 0.572220i | \(-0.193918\pi\) |
0.104596 | + | 0.994515i | \(0.466645\pi\) | |||||||
\(618\) | −21.3410 | + | 27.1373i | −0.858461 | + | 1.09162i | ||||
\(619\) | 0.756536 | + | 0.390021i | 0.0304077 | + | 0.0156763i | 0.473363 | − | 0.880867i | \(-0.343040\pi\) |
−0.442956 | + | 0.896544i | \(0.646070\pi\) | |||||||
\(620\) | −5.04230 | + | 2.91118i | −0.202504 | + | 0.116916i | ||||
\(621\) | 12.2379 | + | 3.57760i | 0.491090 | + | 0.143564i | ||||
\(622\) | − | 3.65114i | − | 0.146397i | ||||||
\(623\) | −1.37082 | − | 14.2837i | −0.0549208 | − | 0.572263i | ||||
\(624\) | −1.95216 | + | 13.5776i | −0.0781490 | + | 0.543538i | ||||
\(625\) | 8.00760 | + | 11.2451i | 0.320304 | + | 0.449804i | ||||
\(626\) | 15.8006 | + | 15.0658i | 0.631518 | + | 0.602152i | ||||
\(627\) | 2.98926 | − | 4.19782i | 0.119379 | − | 0.167645i | ||||
\(628\) | −14.9931 | + | 2.88969i | −0.598292 | + | 0.115311i | ||||
\(629\) | 25.5694 | − | 3.67633i | 1.01952 | − | 0.146585i | ||||
\(630\) | −9.13935 | − | 2.21255i | −0.364120 | − | 0.0881502i | ||||
\(631\) | −8.48210 | − | 7.34978i | −0.337667 | − | 0.292590i | 0.469477 | − | 0.882945i | \(-0.344442\pi\) |
−0.807144 | + | 0.590355i | \(0.798988\pi\) | |||||||
\(632\) | −1.77088 | − | 3.43502i | −0.0704418 | − | 0.136638i | ||||
\(633\) | 45.3815 | + | 2.16179i | 1.80375 | + | 0.0859233i | ||||
\(634\) | −0.868716 | − | 0.167431i | −0.0345011 | − | 0.00664955i | ||||
\(635\) | −5.03788 | + | 4.80361i | −0.199922 | + | 0.190625i | ||||
\(636\) | −1.75702 | − | 12.2203i | −0.0696704 | − | 0.484568i | ||||
\(637\) | 25.0113 | − | 26.2814i | 0.990985 | − | 1.04131i | ||||
\(638\) | −26.0089 | + | 11.8779i | −1.02970 | + | 0.470250i | ||||
\(639\) | −3.60110 | + | 14.8439i | −0.142457 | + | 0.587217i | ||||
\(640\) | 0.883511 | − | 0.0843651i | 0.0349238 | − | 0.00333482i | ||||
\(641\) | 4.18261 | + | 10.4477i | 0.165203 | + | 0.412657i | 0.987751 | − | 0.156038i | \(-0.0498724\pi\) |
−0.822548 | + | 0.568696i | \(0.807448\pi\) | |||||||
\(642\) | −0.522643 | − | 10.9716i | −0.0206271 | − | 0.433016i | ||||
\(643\) | 16.0813 | 0.634184 | 0.317092 | − | 0.948395i | \(-0.397294\pi\) | ||||
0.317092 | + | 0.948395i | \(0.397294\pi\) | |||||||
\(644\) | 10.6857 | + | 6.84218i | 0.421076 | + | 0.269619i | ||||
\(645\) | 4.22422 | 0.166329 | ||||||||
\(646\) | 0.139674 | + | 2.93212i | 0.00549540 | + | 0.115363i | ||||
\(647\) | 9.19778 | + | 22.9750i | 0.361602 | + | 0.903239i | 0.991916 | + | 0.126898i | \(0.0405021\pi\) |
−0.630314 | + | 0.776341i | \(0.717074\pi\) | |||||||
\(648\) | −4.95482 | + | 0.473128i | −0.194644 | + | 0.0185862i | ||||
\(649\) | 13.6665 | − | 56.3343i | 0.536459 | − | 2.21131i | ||||
\(650\) | −19.8591 | + | 9.06936i | −0.778939 | + | 0.355730i | ||||
\(651\) | −44.6360 | + | 10.8512i | −1.74942 | + | 0.425292i | ||||
\(652\) | 1.20001 | + | 8.34623i | 0.0469959 | + | 0.326863i | ||||
\(653\) | 14.9714 | − | 14.2752i | 0.585875 | − | 0.558630i | −0.338087 | − | 0.941115i | \(-0.609780\pi\) |
0.923962 | + | 0.382484i | \(0.124931\pi\) | |||||||
\(654\) | −28.7664 | − | 5.54426i | −1.12485 | − | 0.216798i | ||||
\(655\) | −0.0313718 | − | 0.00149442i | −0.00122580 | − | 5.83919e-5i | ||||
\(656\) | −4.76462 | − | 9.24207i | −0.186027 | − | 0.360842i | ||||
\(657\) | 4.68363 | + | 4.05839i | 0.182726 | + | 0.158333i | ||||
\(658\) | 23.3927 | − | 6.88088i | 0.911943 | − | 0.268245i | ||||
\(659\) | −28.8352 | + | 4.14587i | −1.12326 | + | 0.161500i | −0.678817 | − | 0.734308i | \(-0.737507\pi\) |
−0.444442 | + | 0.895808i | \(0.646598\pi\) | |||||||
\(660\) | 9.93339 | − | 1.91450i | 0.386657 | − | 0.0745220i | ||||
\(661\) | −12.1755 | + | 17.0981i | −0.473572 | + | 0.665039i | −0.980402 | − | 0.197007i | \(-0.936878\pi\) |
0.506830 | + | 0.862046i | \(0.330817\pi\) | |||||||
\(662\) | −5.91745 | − | 5.64227i | −0.229988 | − | 0.219293i | ||||
\(663\) | −51.6597 | − | 72.5459i | −2.00630 | − | 2.81745i | ||||
\(664\) | −1.58747 | + | 11.0411i | −0.0616060 | + | 0.428479i | ||||
\(665\) | −0.965941 | − | 0.440572i | −0.0374576 | − | 0.0170846i | ||||
\(666\) | − | 15.9331i | − | 0.617394i | ||||||
\(667\) | −17.2459 | − | 26.7652i | −0.667763 | − | 1.03635i | ||||
\(668\) | 3.40622 | − | 1.96658i | 0.131791 | − | 0.0760893i | ||||
\(669\) | −22.9442 | − | 11.8285i | −0.887073 | − | 0.457318i | ||||
\(670\) | −6.20877 | + | 7.89510i | −0.239866 | + | 0.305014i | ||||
\(671\) | 11.9449 | + | 5.45504i | 0.461127 | + | 0.210590i | ||||
\(672\) | 6.87636 | + | 1.32190i | 0.265261 | + | 0.0509933i | ||||
\(673\) | 12.2149 | + | 26.7468i | 0.470848 | + | 1.03101i | 0.984879 | + | 0.173242i | \(0.0554242\pi\) |
−0.514031 | + | 0.857771i | \(0.671849\pi\) | |||||||
\(674\) | −5.95239 | − | 30.8839i | −0.229278 | − | 1.18960i | ||||
\(675\) | 6.92259 | + | 8.80279i | 0.266451 | + | 0.338820i | ||||
\(676\) | −3.26830 | − | 13.4721i | −0.125704 | − | 0.518158i | ||||
\(677\) | 9.40724 | + | 27.1804i | 0.361550 | + | 1.04463i | 0.968312 | + | 0.249745i | \(0.0803469\pi\) |
−0.606762 | + | 0.794884i | \(0.707532\pi\) | |||||||
\(678\) | −0.0281916 | − | 0.0181177i | −0.00108269 | − | 0.000695804i | ||||
\(679\) | −2.60645 | − | 1.50317i | −0.100026 | − | 0.0576864i | ||||
\(680\) | −3.77353 | + | 4.35489i | −0.144708 | + | 0.167002i | ||||
\(681\) | −28.1044 | − | 29.4751i | −1.07696 | − | 1.12949i | ||||
\(682\) | 22.2082 | − | 17.4647i | 0.850395 | − | 0.668758i | ||||
\(683\) | −14.2774 | + | 41.2519i | −0.546311 | + | 1.57846i | 0.246596 | + | 0.969118i | \(0.420688\pi\) |
−0.792907 | + | 0.609343i | \(0.791433\pi\) | |||||||
\(684\) | 1.80235 | + | 0.172103i | 0.0689144 | + | 0.00658053i | ||||
\(685\) | 3.21386 | + | 10.9454i | 0.122795 | + | 0.418203i | ||||
\(686\) | −12.7997 | − | 13.3854i | −0.488694 | − | 0.511056i | ||||
\(687\) | 5.88937 | + | 0.846764i | 0.224693 | + | 0.0323060i | ||||
\(688\) | −1.79631 | + | 0.0855690i | −0.0684838 | + | 0.00326229i | ||||
\(689\) | 12.0888 | + | 20.9384i | 0.460547 | + | 0.797691i | ||||
\(690\) | 3.69710 | + | 10.6412i | 0.140746 | + | 0.405103i | ||||
\(691\) | 16.1224 | + | 9.30828i | 0.613325 | + | 0.354103i | 0.774266 | − | 0.632861i | \(-0.218119\pi\) |
−0.160941 | + | 0.986964i | \(0.551453\pi\) | |||||||
\(692\) | −8.44694 | − | 13.1437i | −0.321105 | − | 0.499649i | ||||
\(693\) | 45.4249 | + | 4.31562i | 1.72555 | + | 0.163937i | ||||
\(694\) | 7.14310 | − | 15.6412i | 0.271148 | − | 0.593732i | ||||
\(695\) | 11.1505 | + | 2.70509i | 0.422964 | + | 0.102610i | ||||
\(696\) | −14.3131 | − | 10.1923i | −0.542535 | − | 0.386337i | ||||
\(697\) | 63.7964 | + | 22.0801i | 2.41646 | + | 0.836345i | ||||
\(698\) | −4.62097 | + | 11.5426i | −0.174906 | + | 0.436894i | ||||
\(699\) | 5.67937 | − | 19.3421i | 0.214813 | − | 0.731587i | ||||
\(700\) | 4.14701 | + | 10.3444i | 0.156742 | + | 0.390981i | ||||
\(701\) | −15.1364 | + | 23.5527i | −0.571694 | + | 0.889573i | −0.999900 | − | 0.0141079i | \(-0.995509\pi\) |
0.428207 | + | 0.903681i | \(0.359146\pi\) | |||||||
\(702\) | −12.2475 | + | 6.31403i | −0.462253 | + | 0.238308i | ||||
\(703\) | 0.340443 | − | 1.76639i | 0.0128401 | − | 0.0666206i | ||||
\(704\) | −4.18531 | + | 1.01534i | −0.157740 | + | 0.0382672i | ||||
\(705\) | 20.0976 | + | 8.04585i | 0.756918 | + | 0.303024i | ||||
\(706\) | 18.3557 | − | 15.9053i | 0.690827 | − | 0.598605i | ||||
\(707\) | 14.0160 | + | 8.99806i | 0.527126 | + | 0.338407i | ||||
\(708\) | 34.1803 | − | 10.0363i | 1.28458 | − | 0.377186i | ||||
\(709\) | 22.5462 | − | 16.0551i | 0.846741 | − | 0.602962i | −0.0721849 | − | 0.997391i | \(-0.522997\pi\) |
0.918926 | + | 0.394430i | \(0.129058\pi\) | |||||||
\(710\) | −3.14282 | + | 1.25819i | −0.117948 | + | 0.0472192i | ||||
\(711\) | 7.09153 | − | 13.7556i | 0.265953 | − | 0.515877i | ||||
\(712\) | −2.71176 | + | 4.69691i | −0.101628 | + | 0.176024i | ||||
\(713\) | 22.7955 | + | 21.6839i | 0.853699 | + | 0.812068i | ||||
\(714\) | −38.2338 | + | 24.5972i | −1.43086 | + | 0.920528i | ||||
\(715\) | −16.6660 | + | 10.7106i | −0.623273 | + | 0.400553i | ||||
\(716\) | −11.1742 | − | 8.78752i | −0.417601 | − | 0.328405i | ||||
\(717\) | 5.95091 | + | 62.3208i | 0.222241 | + | 2.32741i | ||||
\(718\) | −10.8967 | + | 11.4281i | −0.406661 | + | 0.426494i | ||||
\(719\) | −2.84043 | + | 29.7463i | −0.105930 | + | 1.10935i | 0.773655 | + | 0.633608i | \(0.218427\pi\) |
−0.879585 | + | 0.475742i | \(0.842179\pi\) | |||||||
\(720\) | 2.32746 | + | 2.68604i | 0.0867394 | + | 0.100103i | ||||
\(721\) | −32.6196 | − | 11.2723i | −1.21482 | − | 0.419801i | ||||
\(722\) | −18.0342 | − | 5.29533i | −0.671165 | − | 0.197072i | ||||
\(723\) | −14.5266 | + | 5.02771i | −0.540251 | + | 0.186983i | ||||
\(724\) | −0.573340 | + | 12.0359i | −0.0213080 | + | 0.447310i | ||||
\(725\) | 1.33067 | − | 27.9343i | 0.0494200 | − | 1.03745i | ||||
\(726\) | −18.8772 | + | 6.53346i | −0.700598 | + | 0.242479i | ||||
\(727\) | 39.6911 | + | 11.6543i | 1.47206 | + | 0.432236i | 0.916768 | − | 0.399420i | \(-0.130788\pi\) |
0.555292 | + | 0.831656i | \(0.312607\pi\) | |||||||
\(728\) | −13.4637 | + | 2.60160i | −0.498999 | + | 0.0964217i | ||||
\(729\) | −26.8759 | − | 31.0164i | −0.995403 | − | 1.14876i | ||||
\(730\) | −0.130562 | + | 1.36730i | −0.00483231 | + | 0.0506062i | ||||
\(731\) | 8.05729 | − | 8.45024i | 0.298010 | − | 0.312544i | ||||
\(732\) | 0.767078 | + | 8.03321i | 0.0283520 | + | 0.296916i | ||||
\(733\) | 7.35091 | + | 5.78082i | 0.271512 | + | 0.213520i | 0.744626 | − | 0.667482i | \(-0.232628\pi\) |
−0.473114 | + | 0.881001i | \(0.656870\pi\) | |||||||
\(734\) | 6.39886 | − | 4.11230i | 0.236186 | − | 0.151788i | ||||
\(735\) | −1.57863 | − | 16.3666i | −0.0582286 | − | 0.603692i | ||||
\(736\) | −1.78771 | − | 4.45018i | −0.0658960 | − | 0.164036i | ||||
\(737\) | 24.3690 | − | 42.2084i | 0.897644 | − | 1.55477i | ||||
\(738\) | 19.0800 | − | 37.0101i | 0.702346 | − | 1.36236i | ||||
\(739\) | 11.7543 | − | 4.70570i | 0.432388 | − | 0.173102i | −0.145250 | − | 0.989395i | \(-0.546399\pi\) |
0.577638 | + | 0.816293i | \(0.303974\pi\) | |||||||
\(740\) | 2.87649 | − | 2.04834i | 0.105742 | − | 0.0752984i | ||||
\(741\) | −5.95066 | + | 1.74727i | −0.218603 | + | 0.0641877i | ||||
\(742\) | 10.9673 | − | 5.66069i | 0.402623 | − | 0.207810i | ||||
\(743\) | 23.9539 | − | 20.7562i | 0.878783 | − | 0.761470i | −0.0934157 | − | 0.995627i | \(-0.529779\pi\) |
0.972199 | + | 0.234157i | \(0.0752331\pi\) | |||||||
\(744\) | 16.1185 | + | 6.45288i | 0.590933 | + | 0.236574i | ||||
\(745\) | −2.11992 | + | 0.514287i | −0.0776678 | + | 0.0188420i | ||||
\(746\) | 6.38061 | − | 33.1058i | 0.233611 | − | 1.21209i | ||||
\(747\) | −39.7035 | + | 20.4686i | −1.45268 | + | 0.748907i | ||||
\(748\) | 15.1172 | − | 23.5228i | 0.552738 | − | 0.860077i | ||||
\(749\) | 10.1920 | − | 4.08592i | 0.372408 | − | 0.149296i | ||||
\(750\) | −6.09645 | + | 20.7626i | −0.222611 | + | 0.758143i | ||||
\(751\) | 12.6578 | − | 31.6178i | 0.461891 | − | 1.15375i | −0.496435 | − | 0.868074i | \(-0.665358\pi\) |
0.958327 | − | 0.285675i | \(-0.0922177\pi\) | |||||||
\(752\) | −8.70930 | − | 3.01432i | −0.317596 | − | 0.109921i | ||||
\(753\) | −35.9138 | − | 25.5741i | −1.30877 | − | 0.931972i | ||||
\(754\) | 33.4403 | + | 8.11252i | 1.21782 | + | 0.295440i | ||||
\(755\) | 5.91009 | − | 12.9413i | 0.215090 | − | 0.470982i | ||||
\(756\) | 2.92507 | + | 6.39691i | 0.106384 | + | 0.232653i | ||||
\(757\) | −3.71722 | − | 5.78411i | −0.135105 | − | 0.210227i | 0.767108 | − | 0.641517i | \(-0.221695\pi\) |
−0.902213 | + | 0.431290i | \(0.858058\pi\) | |||||||
\(758\) | 3.54318 | + | 2.04565i | 0.128694 | + | 0.0743015i | ||||
\(759\) | −25.1060 | − | 48.5572i | −0.911290 | − | 1.76252i | ||||
\(760\) | 0.200637 | + | 0.347513i | 0.00727787 | + | 0.0126056i | ||||
\(761\) | 21.3541 | − | 1.01722i | 0.774087 | − | 0.0368743i | 0.343179 | − | 0.939270i | \(-0.388496\pi\) |
0.430908 | + | 0.902396i | \(0.358193\pi\) | |||||||
\(762\) | 20.5462 | + | 2.95410i | 0.744312 | + | 0.107016i | ||||
\(763\) | −4.18175 | − | 28.9862i | −0.151389 | − | 1.04937i | ||||
\(764\) | 5.48775 | + | 18.6896i | 0.198540 | + | 0.676165i | ||||
\(765\) | −22.9709 | − | 2.19346i | −0.830516 | − | 0.0793047i | ||||
\(766\) | 5.83207 | − | 16.8506i | 0.210721 | − | 0.608839i | ||||
\(767\) | −54.8370 | + | 43.1243i | −1.98005 | + | 1.55713i | ||||
\(768\) | −1.82637 | − | 1.91544i | −0.0659034 | − | 0.0691175i | ||||
\(769\) | −16.4916 | + | 19.0323i | −0.594701 | + | 0.686321i | −0.970699 | − | 0.240299i | \(-0.922754\pi\) |
0.375998 | + | 0.926620i | \(0.377300\pi\) | |||||||
\(770\) | 5.06066 | + | 8.75564i | 0.182373 | + | 0.315531i | ||||
\(771\) | −0.791465 | − | 0.508644i | −0.0285039 | − | 0.0183184i | ||||
\(772\) | −5.43783 | − | 15.7116i | −0.195712 | − | 0.565472i | ||||
\(773\) | 1.88434 | + | 7.76734i | 0.0677749 | + | 0.279372i | 0.995608 | − | 0.0936249i | \(-0.0298454\pi\) |
−0.927833 | + | 0.372997i | \(0.878330\pi\) | |||||||
\(774\) | −4.45170 | − | 5.66079i | −0.160013 | − | 0.203473i | ||||
\(775\) | 5.22965 | + | 27.1340i | 0.187855 | + | 0.974682i | ||||
\(776\) | 0.472424 | + | 1.03446i | 0.0169590 | + | 0.0371351i | ||||
\(777\) | 26.3237 | − | 9.12483i | 0.944357 | − | 0.327351i | ||||
\(778\) | 25.1819 | + | 11.5002i | 0.902815 | + | 0.412302i | ||||
\(779\) | 2.90607 | − | 3.69537i | 0.104121 | − | 0.132400i | ||||
\(780\) | −10.8211 | − | 5.57865i | −0.387456 | − | 0.199748i | ||||
\(781\) | 14.2263 | − | 8.21355i | 0.509057 | − | 0.293904i | ||||
\(782\) | 28.3387 | + | 12.9012i | 1.01339 | + | 0.461347i | ||||
\(783\) | − | 17.6507i | − | 0.630784i | ||||||
\(784\) | 1.00283 | + | 6.92779i | 0.0358155 | + | 0.247421i | ||||
\(785\) | 1.92862 | − | 13.4138i | 0.0688353 | − | 0.478760i | ||||
\(786\) | 0.0543261 | + | 0.0762904i | 0.00193775 | + | 0.00272119i | ||||
\(787\) | 2.93261 | + | 2.79624i | 0.104536 | + | 0.0996750i | 0.740545 | − | 0.672007i | \(-0.234567\pi\) |
−0.636009 | + | 0.771682i | \(0.719416\pi\) | |||||||
\(788\) | −3.19123 | + | 4.48146i | −0.113683 | + | 0.159645i | ||||
\(789\) | −77.9821 | + | 15.0298i | −2.77624 | + | 0.535076i | ||||
\(790\) | 3.39507 | − | 0.488137i | 0.120791 | − | 0.0173671i | ||||
\(791\) | 0.00788249 | − | 0.0325601i | 0.000280269 | − | 0.00115770i | ||||
\(792\) | −13.0339 | − | 11.2939i | −0.463139 | − | 0.401312i | ||||
\(793\) | −7.24148 | − | 14.0465i | −0.257152 | − | 0.498806i | ||||
\(794\) | 7.85236 | + | 0.374054i | 0.278670 | + | 0.0132747i | ||||
\(795\) | 10.7594 | + | 2.07371i | 0.381598 | + | 0.0735470i | ||||
\(796\) | 2.21163 | − | 2.10878i | 0.0783891 | − | 0.0747438i | ||||
\(797\) | 0.535439 | + | 3.72406i | 0.0189662 | + | 0.131913i | 0.997105 | − | 0.0760421i | \(-0.0242283\pi\) |
−0.978138 | + | 0.207955i | \(0.933319\pi\) | |||||||
\(798\) | 0.747860 | + | 3.07629i | 0.0264739 | + | 0.108900i | ||||
\(799\) | 54.4293 | − | 24.8570i | 1.92557 | − | 0.879378i | ||||
\(800\) | 0.993085 | − | 4.09355i | 0.0351109 | − | 0.144729i | ||||
\(801\) | −21.6203 | + | 2.06449i | −0.763916 | + | 0.0729451i | ||||
\(802\) | 2.19923 | + | 5.49340i | 0.0776574 | + | 0.193979i | ||||
\(803\) | −0.317132 | − | 6.65743i | −0.0111914 | − | 0.234936i | ||||
\(804\) | 29.9511 | 1.05629 | ||||||||
\(805\) | −8.84052 | + | 6.97612i | −0.311587 | + | 0.245876i | ||||
\(806\) | −34.0010 | −1.19763 | ||||||||
\(807\) | 1.17095 | + | 24.5813i | 0.0412195 | + | 0.865304i | ||||
\(808\) | −2.33972 | − | 5.84433i | −0.0823109 | − | 0.205603i | ||||
\(809\) | −46.2529 | + | 4.41662i | −1.62616 | + | 0.155280i | −0.867925 | − | 0.496696i | \(-0.834547\pi\) |
−0.758240 | + | 0.651975i | \(0.773941\pi\) | |||||||
\(810\) | 1.04148 | − | 4.29303i | 0.0365938 | − | 0.150842i | ||||
\(811\) | −34.2846 | + | 15.6573i | −1.20390 | + | 0.549801i | −0.913395 | − | 0.407074i | \(-0.866549\pi\) |
−0.290500 | + | 0.956875i | \(0.593822\pi\) | |||||||
\(812\) | 4.94071 | − | 16.8563i | 0.173385 | − | 0.591541i | ||||
\(813\) | −9.06419 | − | 63.0428i | −0.317895 | − | 2.21101i | ||||
\(814\) | −12.4015 | + | 11.8248i | −0.434671 | + | 0.414458i | ||||
\(815\) | −7.34846 | − | 1.41630i | −0.257405 | − | 0.0496108i | ||||
\(816\) | 17.1638 | + | 0.817612i | 0.600853 | + | 0.0286221i | ||||
\(817\) | −0.372574 | − | 0.722693i | −0.0130347 | − | 0.0252838i | ||||
\(818\) | 22.6268 | + | 19.6063i | 0.791129 | + | 0.685517i | ||||
\(819\) | −39.7606 | − | 37.8754i | −1.38935 | − | 1.32347i | ||||
\(820\) | 9.13456 | − | 1.31335i | 0.318993 | − | 0.0458642i | ||||
\(821\) | 28.1079 | − | 5.41735i | 0.980972 | − | 0.189067i | 0.326536 | − | 0.945185i | \(-0.394118\pi\) |
0.654436 | + | 0.756118i | \(0.272906\pi\) | |||||||
\(822\) | 19.7318 | − | 27.7095i | 0.688226 | − | 0.966479i | ||||
\(823\) | −33.5106 | − | 31.9523i | −1.16811 | − | 1.11379i | −0.991581 | − | 0.129491i | \(-0.958666\pi\) |
−0.176526 | − | 0.984296i | \(-0.556486\pi\) | |||||||
\(824\) | 7.56651 | + | 10.6257i | 0.263592 | + | 0.370163i | ||||
\(825\) | 6.83287 | − | 47.5237i | 0.237890 | − | 1.65456i | ||||
\(826\) | 20.6708 | + | 28.9987i | 0.719228 | + | 1.00899i | ||||
\(827\) | − | 22.1826i | − | 0.771365i | −0.922632 | − | 0.385682i | \(-0.873966\pi\) | ||
0.922632 | − | 0.385682i | \(-0.126034\pi\) | |||||||
\(828\) | 10.3638 | − | 16.1686i | 0.360168 | − | 0.561898i | ||||
\(829\) | −19.3858 | + | 11.1924i | −0.673298 | + | 0.388729i | −0.797325 | − | 0.603550i | \(-0.793752\pi\) |
0.124027 | + | 0.992279i | \(0.460419\pi\) | |||||||
\(830\) | −8.79956 | − | 4.53649i | −0.305437 | − | 0.157464i | ||||
\(831\) | −1.27621 | + | 1.62284i | −0.0442714 | + | 0.0562956i | ||||
\(832\) | 4.71457 | + | 2.15307i | 0.163448 | + | 0.0746443i | ||||
\(833\) | −35.7513 | − | 28.0598i | −1.23871 | − | 0.972216i | ||||
\(834\) | −14.2135 | − | 31.1233i | −0.492175 | − | 1.07771i | ||||
\(835\) | 0.660638 | + | 3.42772i | 0.0228623 | + | 0.118621i | ||||
\(836\) | −1.20366 | − | 1.53058i | −0.0416294 | − | 0.0529361i | ||||
\(837\) | 4.11182 | + | 16.9491i | 0.142125 | + | 0.585848i | ||||
\(838\) | −3.01948 | − | 8.72423i | −0.104306 | − | 0.301373i | ||||
\(839\) | 5.62053 | + | 3.61209i | 0.194042 | + | 0.124703i | 0.634054 | − | 0.773288i | \(-0.281390\pi\) |
−0.440012 | + | 0.897992i | \(0.645026\pi\) | |||||||
\(840\) | −3.10478 | + | 5.38359i | −0.107125 | + | 0.185751i | ||||
\(841\) | −9.87404 | + | 11.3952i | −0.340484 | + | 0.392939i | ||||
\(842\) | −22.8529 | − | 23.9674i | −0.787562 | − | 0.825972i | ||||
\(843\) | −30.5849 | + | 24.0523i | −1.05340 | + | 0.828404i | ||||
\(844\) | 5.61461 | − | 16.2223i | 0.193263 | − | 0.558396i | ||||
\(845\) | 12.2480 | + | 1.16954i | 0.421344 | + | 0.0402335i | ||||
\(846\) | −10.3977 | − | 35.4115i | −0.357482 | − | 1.21747i | ||||
\(847\) | −12.3518 | − | 15.6911i | −0.424412 | − | 0.539152i | ||||
\(848\) | −4.61736 | − | 0.663877i | −0.158561 | − | 0.0227976i | ||||
\(849\) | 72.6037 | − | 3.45854i | 2.49175 | − | 0.118697i | ||||
\(850\) | 13.6743 | + | 23.6845i | 0.469024 | + | 0.812373i | ||||
\(851\) | −15.0131 | − | 11.7776i | −0.514641 | − | 0.403730i | ||||
\(852\) | 8.74250 | + | 5.04749i | 0.299513 | + | 0.172924i | ||||
\(853\) | 13.6960 | + | 21.3114i | 0.468943 | + | 0.729690i | 0.992493 | − | 0.122305i | \(-0.0390287\pi\) |
−0.523549 | + | 0.851995i | \(0.675392\pi\) | |||||||
\(854\) | −7.33653 | + | 3.35472i | −0.251051 | + | 0.114796i | ||||
\(855\) | −0.667535 | + | 1.46170i | −0.0228292 | + | 0.0499890i | ||||
\(856\) | −4.03326 | − | 0.978458i | −0.137854 | − | 0.0334430i | ||||
\(857\) | −6.52671 | − | 4.64765i | −0.222948 | − | 0.158761i | 0.463126 | − | 0.886293i | \(-0.346728\pi\) |
−0.686074 | + | 0.727532i | \(0.740667\pi\) | |||||||
\(858\) | 55.8268 | + | 19.3219i | 1.90590 | + | 0.659637i | ||||
\(859\) | 15.9776 | − | 39.9101i | 0.545149 | − | 1.36172i | −0.358536 | − | 0.933516i | \(-0.616724\pi\) |
0.903684 | − | 0.428199i | \(-0.140852\pi\) | |||||||
\(860\) | 0.449670 | − | 1.53144i | 0.0153336 | − | 0.0522216i | ||||
\(861\) | 72.0731 | + | 10.3273i | 2.45624 | + | 0.351955i | ||||
\(862\) | −12.6963 | + | 19.7558i | −0.432437 | + | 0.672884i | ||||
\(863\) | −22.9703 | + | 11.8420i | −0.781917 | + | 0.403106i | −0.802478 | − | 0.596682i | \(-0.796485\pi\) |
0.0205602 | + | 0.999789i | \(0.493455\pi\) | |||||||
\(864\) | 0.503140 | − | 2.61054i | 0.0171172 | − | 0.0888123i | ||||
\(865\) | 13.4758 | − | 3.26920i | 0.458192 | − | 0.111156i | ||||
\(866\) | 30.5725 | + | 12.2394i | 1.03890 | + | 0.415912i | ||||
\(867\) | −50.3110 | + | 43.5947i | −1.70865 | + | 1.48055i | ||||
\(868\) | −0.817566 | + | 17.3373i | −0.0277500 | + | 0.588467i | ||||
\(869\) | −15.9697 | + | 4.68911i | −0.541733 | + | 0.159067i | ||||
\(870\) | 12.7033 | − | 9.04595i | 0.430681 | − | 0.306686i | ||||
\(871\) | −54.4527 | + | 21.7996i | −1.84506 | + | 0.738650i | ||||
\(872\) | −5.07220 | + | 9.83869i | −0.171766 | + | 0.333180i | ||||
\(873\) | −2.27704 | + | 3.94395i | −0.0770661 | + | 0.133482i | ||||
\(874\) | 1.49444 | − | 1.57106i | 0.0505503 | − | 0.0531418i | ||||
\(875\) | −21.6071 | + | 1.03964i | −0.730455 | + | 0.0351461i | ||||
\(876\) | 3.44564 | − | 2.21438i | 0.116417 | − | 0.0748169i | ||||
\(877\) | −25.3557 | − | 19.9399i | −0.856201 | − | 0.673324i | 0.0903389 | − | 0.995911i | \(-0.471205\pi\) |
−0.946540 | + | 0.322587i | \(0.895447\pi\) | |||||||
\(878\) | 1.57587 | + | 16.5033i | 0.0531832 | + | 0.556959i | ||||
\(879\) | −28.3027 | + | 29.6830i | −0.954626 | + | 1.00118i | ||||
\(880\) | 0.363336 | − | 3.80502i | 0.0122480 | − | 0.128267i | ||||
\(881\) | −14.0874 | − | 16.2578i | −0.474618 | − | 0.547738i | 0.467072 | − | 0.884219i | \(-0.345309\pi\) |
−0.941690 | + | 0.336481i | \(0.890763\pi\) | |||||||
\(882\) | −20.2690 | + | 19.3635i | −0.682491 | + | 0.652002i | ||||
\(883\) | −8.40140 | − | 2.46687i | −0.282730 | − | 0.0830169i | 0.137293 | − | 0.990530i | \(-0.456160\pi\) |
−0.420023 | + | 0.907514i | \(0.637978\pi\) | |||||||
\(884\) | −31.7998 | + | 11.0060i | −1.06954 | + | 0.370172i | ||||
\(885\) | −1.50439 | + | 31.5810i | −0.0505694 | + | 1.06158i | ||||
\(886\) | −0.446999 | + | 9.38367i | −0.0150172 | + | 0.315250i | ||||
\(887\) | 24.0228 | − | 8.31439i | 0.806608 | − | 0.279170i | 0.107518 | − | 0.994203i | \(-0.465710\pi\) |
0.699090 | + | 0.715033i | \(0.253588\pi\) | |||||||
\(888\) | −10.1037 | − | 2.96671i | −0.339057 | − | 0.0995562i | ||||
\(889\) | 3.93686 | + | 20.3739i | 0.132038 | + | 0.683320i | ||||
\(890\) | −3.15220 | − | 3.63783i | −0.105662 | − | 0.121940i | ||||
\(891\) | −2.03762 | + | 21.3389i | −0.0682629 | + | 0.714881i | ||||
\(892\) | −6.73070 | + | 7.05896i | −0.225361 | + | 0.236351i | ||||
\(893\) | −0.396085 | − | 4.14799i | −0.0132545 | − | 0.138807i | ||||
\(894\) | 5.11323 | + | 4.02109i | 0.171012 | + | 0.134485i | ||||
\(895\) | 10.6139 | − | 6.82116i | 0.354784 | − | 0.228006i | ||||
\(896\) | 1.21123 | − | 2.35222i | 0.0404643 | − | 0.0785821i | ||||
\(897\) | −12.3733 | + | 64.6113i | −0.413132 | + | 2.15731i | ||||
\(898\) | −17.8963 | + | 30.9973i | −0.597207 | + | 1.03439i | ||||
\(899\) | 19.9575 | − | 38.7122i | 0.665621 | − | 1.29113i | ||||
\(900\) | 15.6599 | − | 6.26929i | 0.521997 | − | 0.208976i | ||||
\(901\) | 24.6709 | − | 17.5681i | 0.821907 | − | 0.585277i | ||||
\(902\) | −42.9670 | + | 12.6162i | −1.43064 | + | 0.420075i | ||||
\(903\) | 6.80296 | − | 10.5968i | 0.226388 | − | 0.352638i | ||||
\(904\) | −0.00956933 | + | 0.00829187i | −0.000318271 | + | 0.000275784i | ||||
\(905\) | −9.92827 | − | 3.97468i | −0.330027 | − | 0.132123i | ||||
\(906\) | −41.2287 | + | 10.0020i | −1.36973 | + | 0.332294i | ||||
\(907\) | −9.00883 | + | 46.7423i | −0.299133 | + | 1.55205i | 0.452071 | + | 0.891982i | \(0.350685\pi\) |
−0.751204 | + | 0.660070i | \(0.770527\pi\) | |||||||
\(908\) | −13.6775 | + | 7.05127i | −0.453905 | + | 0.234004i | ||||
\(909\) | 13.6293 | − | 21.2076i | 0.452056 | − | 0.703413i | ||||
\(910\) | 1.72628 | − | 12.0474i | 0.0572256 | − | 0.399369i | ||||
\(911\) | −1.76649 | + | 6.01611i | −0.0585264 | + | 0.199323i | −0.983566 | − | 0.180547i | \(-0.942213\pi\) |
0.925040 | + | 0.379870i | \(0.124031\pi\) | |||||||
\(912\) | 0.444730 | − | 1.11088i | 0.0147265 | − | 0.0367849i | ||||
\(913\) | 45.3977 | + | 15.7123i | 1.50245 | + | 0.520001i | ||||
\(914\) | 28.7654 | + | 20.4837i | 0.951474 | + | 0.677542i | ||||
\(915\) | −6.96025 | − | 1.68854i | −0.230099 | − | 0.0558214i | ||||
\(916\) | 0.933910 | − | 2.04498i | 0.0308572 | − | 0.0675679i | ||||
\(917\) | −0.0542721 | + | 0.0762917i | −0.00179222 | + | 0.00251937i | ||||
\(918\) | 9.33201 | + | 14.5209i | 0.308002 | + | 0.479261i | ||||
\(919\) | 36.9179 | + | 21.3145i | 1.21781 | + | 0.703102i | 0.964449 | − | 0.264270i | \(-0.0851310\pi\) |
0.253360 | + | 0.967372i | \(0.418464\pi\) | |||||||
\(920\) | 4.25138 | − | 0.207577i | 0.140164 | − | 0.00684360i | ||||
\(921\) | 0.662795 | + | 1.14799i | 0.0218398 | + | 0.0378277i | ||||
\(922\) | −23.2920 | + | 1.10954i | −0.767082 | + | 0.0365406i | ||||
\(923\) | −19.5681 | − | 2.81347i | −0.644092 | − | 0.0926065i | ||||
\(924\) | 11.1947 | − | 28.0019i | 0.368279 | − | 0.921194i | ||||
\(925\) | −4.72176 | − | 16.0808i | −0.155250 | − | 0.528734i | ||||
\(926\) | 24.8093 | + | 2.36900i | 0.815284 | + | 0.0778502i | ||||
\(927\) | −17.0850 | + | 49.3638i | −0.561144 | + | 1.62132i | ||||
\(928\) | −5.21871 | + | 4.10404i | −0.171313 | + | 0.134722i | ||||
\(929\) | −12.7182 | − | 13.3385i | −0.417272 | − | 0.437622i | 0.481228 | − | 0.876595i | \(-0.340191\pi\) |
−0.898500 | + | 0.438973i | \(0.855342\pi\) | |||||||
\(930\) | −10.0911 | + | 11.6457i | −0.330899 | + | 0.381878i | ||||
\(931\) | −2.66082 | + | 1.71361i | −0.0872049 | + | 0.0561611i | ||||
\(932\) | −6.40768 | − | 4.11796i | −0.209890 | − | 0.134888i | ||||
\(933\) | −3.16050 | − | 9.13166i | −0.103470 | − | 0.298957i | ||||
\(934\) | 1.07759 | + | 4.44188i | 0.0352597 | + | 0.145343i | ||||
\(935\) | 15.3407 | + | 19.5072i | 0.501694 | + | 0.637955i | ||||
\(936\) | 3.92795 | + | 20.3801i | 0.128389 | + | 0.666146i | ||||
\(937\) | −4.95131 | − | 10.8419i | −0.161752 | − | 0.354188i | 0.811350 | − | 0.584560i | \(-0.198733\pi\) |
−0.973103 | + | 0.230372i | \(0.926006\pi\) | |||||||
\(938\) | 9.80640 | + | 28.2899i | 0.320190 | + | 0.923699i | ||||
\(939\) | 52.5593 | + | 24.0030i | 1.71521 | + | 0.783309i | ||||
\(940\) | 5.05632 | − | 6.42963i | 0.164919 | − | 0.209711i | ||||
\(941\) | −42.4036 | − | 21.8606i | −1.38232 | − | 0.712634i | −0.403044 | − | 0.915180i | \(-0.632048\pi\) |
−0.979273 | + | 0.202546i | \(0.935078\pi\) | |||||||
\(942\) | −34.9972 | + | 20.2056i | −1.14027 | + | 0.658335i | ||||
\(943\) | −20.7693 | − | 45.3358i | −0.676340 | − | 1.47634i | ||||
\(944\) | − | 13.4600i | − | 0.438086i | ||||||
\(945\) | −6.21429 | + | 0.596393i | −0.202151 | + | 0.0194007i | ||||
\(946\) | −1.10222 | + | 7.66614i | −0.0358364 | + | 0.249248i | ||||
\(947\) | 12.3073 | + | 17.2832i | 0.399933 | + | 0.561628i | 0.964609 | − | 0.263685i | \(-0.0849381\pi\) |
−0.564676 | + | 0.825313i | \(0.690999\pi\) | |||||||
\(948\) | −7.40247 | − | 7.05824i | −0.240421 | − | 0.229241i | ||||
\(949\) | −4.65265 | + | 6.53373i | −0.151031 | + | 0.212094i | ||||
\(950\) | 1.87006 | − | 0.360425i | 0.0606729 | − | 0.0116937i | ||||
\(951\) | −2.31763 | + | 0.333225i | −0.0751543 | + | 0.0108056i | ||||
\(952\) | 4.84740 | + | 16.4796i | 0.157105 | + | 0.534106i | ||||
\(953\) | 10.8624 | + | 9.41228i | 0.351866 | + | 0.304894i | 0.812802 | − | 0.582540i | \(-0.197941\pi\) |
−0.460936 | + | 0.887433i | \(0.652486\pi\) | |||||||
\(954\) | −8.55990 | − | 16.6039i | −0.277137 | − | 0.537571i | ||||
\(955\) | −17.2682 | − | 0.822588i | −0.558787 | − | 0.0266183i | ||||
\(956\) | 23.2271 | + | 4.47665i | 0.751217 | + | 0.144785i | ||||
\(957\) | −54.7677 | + | 52.2209i | −1.77039 | + | 1.68806i | ||||
\(958\) | −0.457127 | − | 3.17939i | −0.0147691 | − | 0.102721i | ||||
\(959\) | 32.6332 | + | 9.56500i | 1.05378 | + | 0.308870i | ||||
\(960\) | 2.13667 | − | 0.975786i | 0.0689608 | − | 0.0314933i | ||||
\(961\) | −2.83758 | + | 11.6966i | −0.0915347 | + | 0.377311i | ||||
\(962\) | 20.5283 | − | 1.96022i | 0.661860 | − | 0.0632000i | ||||
\(963\) | −6.17694 | − | 15.4293i | −0.199049 | − | 0.497201i | ||||
\(964\) | 0.276366 | + | 5.80164i | 0.00890115 | + | 0.186858i | ||||
\(965\) | 14.7561 | 0.475014 | ||||||||
\(966\) | 32.6482 | + | 7.86281i | 1.05044 | + | 0.252982i | ||||
\(967\) | 16.7916 | 0.539980 | 0.269990 | − | 0.962863i | \(-0.412980\pi\) | ||||
0.269990 | + | 0.962863i | \(0.412980\pi\) | |||||||
\(968\) | 0.359135 | + | 7.53917i | 0.0115430 | + | 0.242318i | ||||
\(969\) | 2.88743 | + | 7.21246i | 0.0927577 | + | 0.231698i | ||||
\(970\) | −1.00476 | + | 0.0959427i | −0.0322608 | + | 0.00308054i | ||||
\(971\) | −8.59031 | + | 35.4097i | −0.275676 | + | 1.13635i | 0.650574 | + | 0.759443i | \(0.274528\pi\) |
−0.926250 | + | 0.376909i | \(0.876987\pi\) | |||||||
\(972\) | −19.2377 | + | 8.78555i | −0.617048 | + | 0.281797i | ||||
\(973\) | 24.7435 | − | 23.6155i | 0.793239 | − | 0.757077i | ||||
\(974\) | 1.89620 | + | 13.1884i | 0.0607582 | + | 0.422582i | ||||
\(975\) | −41.8180 | + | 39.8734i | −1.33925 | + | 1.27697i | ||||
\(976\) | 2.99399 | + | 0.577045i | 0.0958354 | + | 0.0184708i | ||||
\(977\) | 39.3501 | + | 1.87447i | 1.25892 | + | 0.0599697i | 0.666405 | − | 0.745590i | \(-0.267832\pi\) |
0.592515 | + | 0.805560i | \(0.298135\pi\) | |||||||
\(978\) | 10.2259 | + | 19.8355i | 0.326989 | + | 0.634271i | ||||
\(979\) | 17.6525 | + | 15.2959i | 0.564175 | + | 0.488860i | ||||
\(980\) | −6.10156 | − | 1.16992i | −0.194907 | − | 0.0373719i | ||||
\(981\) | −43.8757 | + | 6.30837i | −1.40084 | + | 0.201411i | ||||
\(982\) | 13.4558 | − | 2.59340i | 0.429393 | − | 0.0827587i | ||||
\(983\) | −13.4367 | + | 18.8692i | −0.428564 | + | 0.601835i | −0.971238 | − | 0.238109i | \(-0.923473\pi\) |
0.542674 | + | 0.839943i | \(0.317412\pi\) | |||||||
\(984\) | −19.9166 | − | 18.9905i | −0.634920 | − | 0.605395i | ||||
\(985\) | −2.83231 | − | 3.97743i | −0.0902450 | − | 0.126731i | ||||
\(986\) | 6.13447 | − | 42.6662i | 0.195361 | − | 1.35877i | ||||
\(987\) | 52.5500 | − | 37.4586i | 1.67269 | − | 1.19232i | ||||
\(988\) | 2.34333i | 0.0745514i | ||||||||
\(989\) | −8.62458 | + | 0.0102382i | −0.274246 | + | 0.000325555i | ||||
\(990\) | 13.2559 | − | 7.65331i | 0.421301 | − | 0.243238i | ||||
\(991\) | −5.87493 | − | 3.02874i | −0.186623 | − | 0.0962110i | 0.362383 | − | 0.932029i | \(-0.381963\pi\) |
−0.549006 | + | 0.835818i | \(0.684994\pi\) | |||||||
\(992\) | 4.05523 | − | 5.15665i | 0.128754 | − | 0.163724i | ||||
\(993\) | −19.6839 | − | 8.98932i | −0.624649 | − | 0.285267i | ||||
\(994\) | −1.90513 | + | 9.91025i | −0.0604270 | + | 0.314334i | ||||
\(995\) | 1.12667 | + | 2.46707i | 0.0357180 | + | 0.0782114i | ||||
\(996\) | 5.58708 | + | 28.9885i | 0.177033 | + | 0.918536i | ||||
\(997\) | −12.6333 | − | 16.0645i | −0.400101 | − | 0.508769i | 0.543702 | − | 0.839278i | \(-0.317022\pi\) |
−0.943803 | + | 0.330509i | \(0.892780\pi\) | |||||||
\(998\) | −6.41727 | − | 26.4523i | −0.203135 | − | 0.837334i | ||||
\(999\) | −3.45968 | − | 9.99610i | −0.109460 | − | 0.316263i |
(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 | 322.2.o.a.103.2 | ✓ | 160 | |
7.3 | odd | 6 | inner | 322.2.o.a.241.7 | yes | 160 | |
23.21 | odd | 22 | inner | 322.2.o.a.159.7 | yes | 160 | |
161.136 | even | 66 | inner | 322.2.o.a.297.2 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.o.a.103.2 | ✓ | 160 | 1.1 | even | 1 | trivial | |
322.2.o.a.159.7 | yes | 160 | 23.21 | odd | 22 | inner | |
322.2.o.a.241.7 | yes | 160 | 7.3 | odd | 6 | inner | |
322.2.o.a.297.2 | yes | 160 | 161.136 | even | 66 | inner |