Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(38,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bz (of order \(30\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 38.10 | ||
Character | \(\chi\) | \(=\) | 403.38 |
Dual form | 403.2.bz.a.350.10 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.52508 | + | 0.495529i | −1.07840 | + | 0.350392i | −0.793752 | − | 0.608241i | \(-0.791875\pi\) |
−0.284644 | + | 0.958633i | \(0.591875\pi\) | |||||||
\(3\) | −2.41071 | + | 0.512413i | −1.39183 | + | 0.295842i | −0.842018 | − | 0.539449i | \(-0.818633\pi\) |
−0.549808 | + | 0.835291i | \(0.685299\pi\) | |||||||
\(4\) | 0.462291 | − | 0.335874i | 0.231146 | − | 0.167937i | ||||
\(5\) | −0.561077 | − | 0.323938i | −0.250921 | − | 0.144869i | 0.369265 | − | 0.929324i | \(-0.379610\pi\) |
−0.620186 | + | 0.784455i | \(0.712943\pi\) | |||||||
\(6\) | 3.42262 | − | 1.97605i | 1.39728 | − | 0.806719i | ||||
\(7\) | −0.0399925 | + | 0.0898246i | −0.0151157 | + | 0.0339505i | −0.920946 | − | 0.389691i | \(-0.872582\pi\) |
0.905830 | + | 0.423642i | \(0.139248\pi\) | |||||||
\(8\) | 1.34651 | − | 1.85331i | 0.476063 | − | 0.655244i | ||||
\(9\) | 2.80834 | − | 1.25035i | 0.936113 | − | 0.416784i | ||||
\(10\) | 1.01621 | + | 0.216002i | 0.321353 | + | 0.0683058i | ||||
\(11\) | 2.75920 | − | 0.290004i | 0.831931 | − | 0.0874395i | 0.321019 | − | 0.947073i | \(-0.395975\pi\) |
0.510912 | + | 0.859633i | \(0.329308\pi\) | |||||||
\(12\) | −0.942345 | + | 1.04658i | −0.272032 | + | 0.302122i | ||||
\(13\) | 2.51809 | − | 2.58055i | 0.698392 | − | 0.715715i | ||||
\(14\) | 0.0164811 | − | 0.156807i | 0.00440476 | − | 0.0419085i | ||||
\(15\) | 1.51859 | + | 0.493418i | 0.392097 | + | 0.127400i | ||||
\(16\) | −1.48833 | + | 4.58059i | −0.372081 | + | 1.14515i | ||||
\(17\) | −0.687283 | + | 6.53906i | −0.166691 | + | 1.58595i | 0.516872 | + | 0.856063i | \(0.327096\pi\) |
−0.683563 | + | 0.729892i | \(0.739570\pi\) | |||||||
\(18\) | −3.66336 | + | 3.29850i | −0.863462 | + | 0.777465i | ||||
\(19\) | −2.73462 | − | 2.46226i | −0.627364 | − | 0.564881i | 0.292917 | − | 0.956138i | \(-0.405374\pi\) |
−0.920282 | + | 0.391256i | \(0.872041\pi\) | |||||||
\(20\) | −0.368183 | + | 0.0386976i | −0.0823283 | + | 0.00865305i | ||||
\(21\) | 0.0503831 | − | 0.237034i | 0.0109945 | − | 0.0517251i | ||||
\(22\) | −4.06431 | + | 1.80955i | −0.866513 | + | 0.385796i | ||||
\(23\) | −4.07926 | − | 2.96375i | −0.850584 | − | 0.617985i | 0.0747233 | − | 0.997204i | \(-0.476193\pi\) |
−0.925307 | + | 0.379219i | \(0.876193\pi\) | |||||||
\(24\) | −2.29639 | + | 5.15777i | −0.468748 | + | 1.05283i | ||||
\(25\) | −2.29013 | − | 3.96662i | −0.458026 | − | 0.793324i | ||||
\(26\) | −2.56156 | + | 5.18333i | −0.502362 | + | 1.01654i | ||||
\(27\) | −0.147765 | + | 0.107358i | −0.0284375 | + | 0.0206610i | ||||
\(28\) | 0.0116816 | + | 0.0549575i | 0.00220761 | + | 0.0103860i | ||||
\(29\) | 2.99520 | + | 9.21828i | 0.556195 | + | 1.71179i | 0.692767 | + | 0.721161i | \(0.256391\pi\) |
−0.136573 | + | 0.990630i | \(0.543609\pi\) | |||||||
\(30\) | −2.56047 | −0.467476 | ||||||||
\(31\) | 5.21198 | + | 1.95839i | 0.936099 | + | 0.351737i | ||||
\(32\) | − | 3.14166i | − | 0.555371i | ||||||
\(33\) | −6.50305 | + | 2.11297i | −1.13204 | + | 0.367821i | ||||
\(34\) | −2.19213 | − | 10.3132i | −0.375947 | − | 1.76869i | ||||
\(35\) | 0.0515364 | − | 0.0374434i | 0.00871125 | − | 0.00632909i | ||||
\(36\) | 0.878309 | − | 1.52128i | 0.146385 | − | 0.253546i | ||||
\(37\) | −5.69453 | + | 3.28774i | −0.936175 | + | 0.540501i | −0.888759 | − | 0.458375i | \(-0.848432\pi\) |
−0.0474155 | + | 0.998875i | \(0.515098\pi\) | |||||||
\(38\) | 5.39064 | + | 2.40007i | 0.874477 | + | 0.389342i | ||||
\(39\) | −4.74809 | + | 7.51126i | −0.760303 | + | 1.20276i | ||||
\(40\) | −1.35585 | + | 0.603664i | −0.214379 | + | 0.0954477i | ||||
\(41\) | −2.11786 | + | 9.96374i | −0.330754 | + | 1.55607i | 0.427439 | + | 0.904044i | \(0.359416\pi\) |
−0.758193 | + | 0.652030i | \(0.773918\pi\) | |||||||
\(42\) | 0.0406189 | + | 0.386463i | 0.00626763 | + | 0.0596325i | ||||
\(43\) | −0.710350 | + | 0.788923i | −0.108327 | + | 0.120310i | −0.794870 | − | 0.606780i | \(-0.792461\pi\) |
0.686543 | + | 0.727090i | \(0.259128\pi\) | |||||||
\(44\) | 1.17815 | − | 1.06081i | 0.177613 | − | 0.159923i | ||||
\(45\) | −1.98073 | − | 0.208183i | −0.295270 | − | 0.0310341i | ||||
\(46\) | 7.68982 | + | 2.49858i | 1.13380 | + | 0.368395i | ||||
\(47\) | −6.19178 | − | 2.01183i | −0.903163 | − | 0.293456i | −0.179621 | − | 0.983736i | \(-0.557487\pi\) |
−0.723542 | + | 0.690280i | \(0.757487\pi\) | |||||||
\(48\) | 1.24077 | − | 11.8051i | 0.179090 | − | 1.70393i | ||||
\(49\) | 4.67745 | + | 5.19483i | 0.668206 | + | 0.742118i | ||||
\(50\) | 5.45821 | + | 4.91459i | 0.771907 | + | 0.695028i | ||||
\(51\) | −1.69386 | − | 16.1160i | −0.237187 | − | 2.25669i | ||||
\(52\) | 0.297351 | − | 2.03873i | 0.0412352 | − | 0.282720i | ||||
\(53\) | −6.48175 | + | 2.88586i | −0.890337 | + | 0.396404i | −0.800346 | − | 0.599539i | \(-0.795351\pi\) |
−0.0899917 | + | 0.995943i | \(0.528684\pi\) | |||||||
\(54\) | 0.172155 | − | 0.236952i | 0.0234274 | − | 0.0322450i | ||||
\(55\) | −1.64207 | − | 0.731096i | −0.221416 | − | 0.0985810i | ||||
\(56\) | 0.112623 | + | 0.195068i | 0.0150498 | + | 0.0260671i | ||||
\(57\) | 7.85408 | + | 4.53455i | 1.04030 | + | 0.600616i | ||||
\(58\) | −9.13585 | − | 12.5744i | −1.19960 | − | 1.65110i | ||||
\(59\) | −0.632839 | − | 2.97727i | −0.0823886 | − | 0.387608i | 0.917562 | − | 0.397594i | \(-0.130155\pi\) |
−0.999950 | + | 0.00998586i | \(0.996821\pi\) | |||||||
\(60\) | 0.867755 | − | 0.281951i | 0.112027 | − | 0.0363997i | ||||
\(61\) | 10.2495 | 1.31231 | 0.656154 | − | 0.754627i | \(-0.272182\pi\) | ||||
0.656154 | + | 0.754627i | \(0.272182\pi\) | |||||||
\(62\) | −8.91913 | − | 0.404014i | −1.13273 | − | 0.0513098i | ||||
\(63\) | 0.302263i | 0.0380815i | ||||||||
\(64\) | −1.41987 | − | 4.36991i | −0.177484 | − | 0.546238i | ||||
\(65\) | −2.24878 | + | 0.632181i | −0.278927 | + | 0.0784124i | ||||
\(66\) | 8.87064 | − | 6.44490i | 1.09190 | − | 0.793312i | ||||
\(67\) | 4.35212 | + | 2.51270i | 0.531696 | + | 0.306975i | 0.741707 | − | 0.670724i | \(-0.234017\pi\) |
−0.210011 | + | 0.977699i | \(0.567350\pi\) | |||||||
\(68\) | 1.87858 | + | 3.25379i | 0.227811 | + | 0.394580i | ||||
\(69\) | 11.3526 | + | 5.05450i | 1.36669 | + | 0.608490i | ||||
\(70\) | −0.0600430 | + | 0.0826421i | −0.00717651 | + | 0.00987762i | ||||
\(71\) | 2.27456 | + | 5.10875i | 0.269941 | + | 0.606297i | 0.996751 | − | 0.0805410i | \(-0.0256648\pi\) |
−0.726810 | + | 0.686838i | \(0.758998\pi\) | |||||||
\(72\) | 1.46416 | − | 6.88833i | 0.172553 | − | 0.811798i | ||||
\(73\) | 10.9627 | − | 1.15222i | 1.28308 | − | 0.134858i | 0.561670 | − | 0.827362i | \(-0.310159\pi\) |
0.721414 | + | 0.692504i | \(0.243492\pi\) | |||||||
\(74\) | 7.05545 | − | 7.83587i | 0.820179 | − | 0.910902i | ||||
\(75\) | 7.55339 | + | 8.38889i | 0.872191 | + | 0.968666i | ||||
\(76\) | −2.09120 | − | 0.219794i | −0.239877 | − | 0.0252121i | ||||
\(77\) | −0.0842979 | + | 0.259442i | −0.00960664 | + | 0.0295662i | ||||
\(78\) | 3.51917 | − | 13.8081i | 0.398468 | − | 1.56346i | ||||
\(79\) | −0.0729530 | + | 0.694102i | −0.00820786 | + | 0.0780925i | −0.997859 | − | 0.0654016i | \(-0.979167\pi\) |
0.989651 | + | 0.143494i | \(0.0458338\pi\) | |||||||
\(80\) | 2.31889 | − | 2.08794i | 0.259260 | − | 0.233439i | ||||
\(81\) | −5.86973 | + | 6.51900i | −0.652193 | + | 0.724333i | ||||
\(82\) | −1.70742 | − | 16.2450i | −0.188552 | − | 1.79396i | ||||
\(83\) | −2.68795 | + | 12.6458i | −0.295041 | + | 1.38806i | 0.541753 | + | 0.840538i | \(0.317761\pi\) |
−0.836793 | + | 0.547519i | \(0.815572\pi\) | |||||||
\(84\) | −0.0563219 | − | 0.126501i | −0.00614523 | − | 0.0138024i | ||||
\(85\) | 2.50387 | − | 3.44628i | 0.271582 | − | 0.373801i | ||||
\(86\) | 0.692407 | − | 1.55517i | 0.0746642 | − | 0.167698i | ||||
\(87\) | −11.9441 | − | 20.6879i | −1.28055 | − | 2.21797i | ||||
\(88\) | 3.17782 | − | 5.50415i | 0.338757 | − | 0.586745i | ||||
\(89\) | −4.47641 | − | 6.16125i | −0.474499 | − | 0.653092i | 0.502937 | − | 0.864323i | \(-0.332253\pi\) |
−0.977436 | + | 0.211231i | \(0.932253\pi\) | |||||||
\(90\) | 3.12394 | − | 0.664013i | 0.329292 | − | 0.0699931i | ||||
\(91\) | 0.131092 | + | 0.329389i | 0.0137422 | + | 0.0345293i | ||||
\(92\) | −2.88125 | −0.300391 | ||||||||
\(93\) | −13.5681 | − | 2.05043i | −1.40695 | − | 0.212619i | ||||
\(94\) | 10.4399 | 1.07679 | ||||||||
\(95\) | 0.736711 | + | 2.26736i | 0.0755850 | + | 0.232627i | ||||
\(96\) | 1.60983 | + | 7.57363i | 0.164302 | + | 0.772981i | ||||
\(97\) | −5.47256 | − | 7.53233i | −0.555654 | − | 0.764793i | 0.435112 | − | 0.900377i | \(-0.356709\pi\) |
−0.990766 | + | 0.135584i | \(0.956709\pi\) | |||||||
\(98\) | −9.70767 | − | 5.60473i | −0.980623 | − | 0.566163i | ||||
\(99\) | 7.38617 | − | 4.26441i | 0.742338 | − | 0.428589i | ||||
\(100\) | −2.39099 | − | 1.06454i | −0.239099 | − | 0.106454i | ||||
\(101\) | 11.7436 | + | 8.53222i | 1.16853 | + | 0.848987i | 0.990832 | − | 0.135097i | \(-0.0431348\pi\) |
0.177699 | + | 0.984085i | \(0.443135\pi\) | |||||||
\(102\) | 10.5692 | + | 23.7388i | 1.04651 | + | 2.35049i | ||||
\(103\) | −0.251692 | − | 0.0534987i | −0.0247999 | − | 0.00527139i | 0.195495 | − | 0.980705i | \(-0.437369\pi\) |
−0.220295 | + | 0.975433i | \(0.570702\pi\) | |||||||
\(104\) | −1.39192 | − | 8.14153i | −0.136489 | − | 0.798343i | ||||
\(105\) | −0.105053 | + | 0.116673i | −0.0102521 | + | 0.0113861i | ||||
\(106\) | 8.45518 | − | 7.61307i | 0.821239 | − | 0.739447i | ||||
\(107\) | −0.525090 | + | 4.99590i | −0.0507624 | + | 0.482972i | 0.939377 | + | 0.342886i | \(0.111404\pi\) |
−0.990139 | + | 0.140086i | \(0.955262\pi\) | |||||||
\(108\) | −0.0322519 | + | 0.0992612i | −0.00310344 | + | 0.00955141i | ||||
\(109\) | −0.205798 | − | 0.0668677i | −0.0197118 | − | 0.00640477i | 0.299144 | − | 0.954208i | \(-0.403299\pi\) |
−0.318856 | + | 0.947803i | \(0.603299\pi\) | |||||||
\(110\) | 2.86657 | + | 0.301288i | 0.273317 | + | 0.0287267i | ||||
\(111\) | 12.0432 | − | 10.8437i | 1.14309 | − | 1.02924i | ||||
\(112\) | −0.351928 | − | 0.316878i | −0.0332541 | − | 0.0299421i | ||||
\(113\) | 1.85356 | + | 17.6354i | 0.174368 | + | 1.65900i | 0.635822 | + | 0.771835i | \(0.280661\pi\) |
−0.461455 | + | 0.887164i | \(0.652672\pi\) | |||||||
\(114\) | −14.2251 | − | 3.02364i | −1.33230 | − | 0.283190i | ||||
\(115\) | 1.32870 | + | 2.98432i | 0.123902 | + | 0.278289i | ||||
\(116\) | 4.48083 | + | 3.25552i | 0.416035 | + | 0.302267i | ||||
\(117\) | 3.84505 | − | 10.3956i | 0.355475 | − | 0.961069i | ||||
\(118\) | 2.44046 | + | 4.22699i | 0.224662 | + | 0.389126i | ||||
\(119\) | −0.559882 | − | 0.323248i | −0.0513243 | − | 0.0296321i | ||||
\(120\) | 2.95925 | − | 2.15002i | 0.270141 | − | 0.196269i | ||||
\(121\) | −3.23052 | + | 0.686668i | −0.293684 | + | 0.0624244i | ||||
\(122\) | −15.6313 | + | 5.07890i | −1.41519 | + | 0.459822i | ||||
\(123\) | − | 25.1049i | − | 2.26364i | ||||||
\(124\) | 3.06722 | − | 0.845224i | 0.275445 | − | 0.0759033i | ||||
\(125\) | 6.20682i | 0.555154i | ||||||||
\(126\) | −0.149780 | − | 0.460975i | −0.0133435 | − | 0.0410669i | ||||
\(127\) | −15.0495 | + | 3.19886i | −1.33542 | + | 0.283853i | −0.819646 | − | 0.572870i | \(-0.805830\pi\) |
−0.515777 | + | 0.856723i | \(0.672497\pi\) | |||||||
\(128\) | 8.02407 | + | 11.0442i | 0.709234 | + | 0.976177i | ||||
\(129\) | 1.30820 | − | 2.26586i | 0.115180 | − | 0.199498i | ||||
\(130\) | 3.11631 | − | 2.07846i | 0.273318 | − | 0.182293i | ||||
\(131\) | 6.96655 | + | 3.10171i | 0.608670 | + | 0.270997i | 0.687838 | − | 0.725864i | \(-0.258560\pi\) |
−0.0791682 | + | 0.996861i | \(0.525226\pi\) | |||||||
\(132\) | −2.29661 | + | 3.16101i | −0.199894 | + | 0.275131i | ||||
\(133\) | 0.330536 | − | 0.147164i | 0.0286611 | − | 0.0127607i | ||||
\(134\) | −7.88245 | − | 1.67547i | −0.680940 | − | 0.144738i | ||||
\(135\) | 0.117685 | − | 0.0123692i | 0.0101287 | − | 0.00106457i | ||||
\(136\) | 11.1935 | + | 10.0786i | 0.959832 | + | 0.864236i | ||||
\(137\) | 8.09412 | − | 7.28798i | 0.691528 | − | 0.622654i | −0.246529 | − | 0.969135i | \(-0.579290\pi\) |
0.938057 | + | 0.346481i | \(0.112624\pi\) | |||||||
\(138\) | −19.8183 | − | 2.08298i | −1.68704 | − | 0.177315i | ||||
\(139\) | −5.52626 | + | 17.0081i | −0.468731 | + | 1.44261i | 0.385498 | + | 0.922709i | \(0.374030\pi\) |
−0.854229 | + | 0.519897i | \(0.825970\pi\) | |||||||
\(140\) | 0.0112486 | − | 0.0346195i | 0.000950677 | − | 0.00292588i | ||||
\(141\) | 15.9575 | + | 1.67720i | 1.34386 | + | 0.141246i | ||||
\(142\) | −6.00043 | − | 6.66415i | −0.503545 | − | 0.559243i | ||||
\(143\) | 6.19955 | − | 7.85051i | 0.518433 | − | 0.656493i | ||||
\(144\) | 1.54764 | + | 14.7248i | 0.128970 | + | 1.22707i | ||||
\(145\) | 1.30561 | − | 6.14242i | 0.108425 | − | 0.510100i | ||||
\(146\) | −16.1480 | + | 7.18956i | −1.33642 | + | 0.595012i | ||||
\(147\) | −13.9379 | − | 10.1265i | −1.14958 | − | 0.835217i | ||||
\(148\) | −1.52826 | + | 3.43254i | −0.125622 | + | 0.282153i | ||||
\(149\) | −6.20616 | + | 3.58313i | −0.508429 | + | 0.293541i | −0.732187 | − | 0.681103i | \(-0.761501\pi\) |
0.223759 | + | 0.974645i | \(0.428167\pi\) | |||||||
\(150\) | −15.6765 | − | 9.05082i | −1.27998 | − | 0.738996i | ||||
\(151\) | −3.57623 | − | 4.92225i | −0.291029 | − | 0.400567i | 0.638319 | − | 0.769772i | \(-0.279630\pi\) |
−0.929348 | + | 0.369205i | \(0.879630\pi\) | |||||||
\(152\) | −8.24552 | + | 1.75264i | −0.668800 | + | 0.142158i | ||||
\(153\) | 6.24601 | + | 19.2232i | 0.504960 | + | 1.55411i | ||||
\(154\) | − | 0.437443i | − | 0.0352501i | ||||||
\(155\) | −2.28992 | − | 2.78716i | −0.183931 | − | 0.223870i | ||||
\(156\) | 0.327841 | + | 5.06715i | 0.0262483 | + | 0.405697i | ||||
\(157\) | 3.51903 | + | 10.8305i | 0.280850 | + | 0.864366i | 0.987612 | + | 0.156915i | \(0.0501549\pi\) |
−0.706763 | + | 0.707451i | \(0.749845\pi\) | |||||||
\(158\) | −0.232688 | − | 1.09471i | −0.0185117 | − | 0.0870906i | ||||
\(159\) | 14.1469 | − | 10.2783i | 1.12192 | − | 0.815124i | ||||
\(160\) | −1.01770 | + | 1.76271i | −0.0804563 | + | 0.139354i | ||||
\(161\) | 0.429357 | − | 0.247890i | 0.0338381 | − | 0.0195364i | ||||
\(162\) | 5.72147 | − | 12.8506i | 0.449521 | − | 1.00964i | ||||
\(163\) | −7.03626 | + | 9.68457i | −0.551122 | + | 0.758554i | −0.990164 | − | 0.139912i | \(-0.955318\pi\) |
0.439042 | + | 0.898467i | \(0.355318\pi\) | |||||||
\(164\) | 2.36749 | + | 5.31748i | 0.184870 | + | 0.415225i | ||||
\(165\) | 4.33318 | + | 0.921046i | 0.337338 | + | 0.0717033i | ||||
\(166\) | −2.16702 | − | 20.6178i | −0.168194 | − | 1.60025i | ||||
\(167\) | −12.4045 | − | 11.1691i | −0.959889 | − | 0.864288i | 0.0309249 | − | 0.999522i | \(-0.490155\pi\) |
−0.990814 | + | 0.135234i | \(0.956821\pi\) | |||||||
\(168\) | −0.371456 | − | 0.412544i | −0.0286585 | − | 0.0318285i | ||||
\(169\) | −0.318450 | − | 12.9961i | −0.0244961 | − | 0.999700i | ||||
\(170\) | −2.11087 | + | 6.49659i | −0.161896 | + | 0.498266i | ||||
\(171\) | −10.7584 | − | 3.49563i | −0.822718 | − | 0.267317i | ||||
\(172\) | −0.0634094 | + | 0.603300i | −0.00483492 | + | 0.0460012i | ||||
\(173\) | 3.79351 | + | 4.21312i | 0.288415 | + | 0.320317i | 0.869889 | − | 0.493248i | \(-0.164190\pi\) |
−0.581474 | + | 0.813565i | \(0.697524\pi\) | |||||||
\(174\) | 28.4672 | + | 25.6320i | 2.15809 | + | 1.94316i | ||||
\(175\) | 0.447888 | − | 0.0470749i | 0.0338571 | − | 0.00355853i | ||||
\(176\) | −2.77820 | + | 13.0704i | −0.209415 | + | 0.985220i | ||||
\(177\) | 3.05119 | + | 6.85308i | 0.229341 | + | 0.515109i | ||||
\(178\) | 9.87998 | + | 7.17822i | 0.740536 | + | 0.538031i | ||||
\(179\) | 1.32726 | + | 0.590934i | 0.0992041 | + | 0.0441685i | 0.455739 | − | 0.890114i | \(-0.349375\pi\) |
−0.356535 | + | 0.934282i | \(0.616042\pi\) | |||||||
\(180\) | −0.985597 | + | 0.569035i | −0.0734621 | + | 0.0424134i | ||||
\(181\) | 9.41873 | − | 16.3137i | 0.700089 | − | 1.21259i | −0.268346 | − | 0.963323i | \(-0.586477\pi\) |
0.968435 | − | 0.249267i | \(-0.0801896\pi\) | |||||||
\(182\) | −0.363148 | − | 0.437385i | −0.0269183 | − | 0.0324211i | ||||
\(183\) | −24.7085 | + | 5.25196i | −1.82651 | + | 0.388236i | ||||
\(184\) | −10.9855 | + | 3.56941i | −0.809862 | + | 0.263140i | ||||
\(185\) | 4.26009 | 0.313208 | ||||||||
\(186\) | 21.7085 | − | 3.59632i | 1.59174 | − | 0.263695i | ||||
\(187\) | 18.2419i | 1.33398i | ||||||||
\(188\) | −3.53812 | + | 1.14961i | −0.258044 | + | 0.0838437i | ||||
\(189\) | −0.00373387 | − | 0.0175665i | −0.000271599 | − | 0.00127777i | ||||
\(190\) | −2.24709 | − | 3.09285i | −0.163021 | − | 0.224379i | ||||
\(191\) | −7.22281 | + | 12.5103i | −0.522624 | + | 0.905212i | 0.477029 | + | 0.878888i | \(0.341714\pi\) |
−0.999653 | + | 0.0263246i | \(0.991620\pi\) | |||||||
\(192\) | 5.66210 | + | 9.80704i | 0.408627 | + | 0.707762i | ||||
\(193\) | −8.51419 | + | 19.1232i | −0.612865 | + | 1.37652i | 0.294288 | + | 0.955717i | \(0.404917\pi\) |
−0.907153 | + | 0.420801i | \(0.861749\pi\) | |||||||
\(194\) | 12.0786 | + | 8.77561i | 0.867192 | + | 0.630052i | ||||
\(195\) | 5.09722 | − | 2.67631i | 0.365020 | − | 0.191655i | ||||
\(196\) | 3.90715 | + | 0.830490i | 0.279082 | + | 0.0593207i | ||||
\(197\) | 10.0646 | − | 1.05783i | 0.717070 | − | 0.0753671i | 0.261035 | − | 0.965329i | \(-0.415936\pi\) |
0.456034 | + | 0.889962i | \(0.349269\pi\) | |||||||
\(198\) | −9.15138 | + | 10.1636i | −0.650360 | + | 0.722298i | ||||
\(199\) | −3.41647 | − | 3.79437i | −0.242187 | − | 0.268976i | 0.609781 | − | 0.792570i | \(-0.291257\pi\) |
−0.851968 | + | 0.523594i | \(0.824591\pi\) | |||||||
\(200\) | −10.4351 | − | 1.09677i | −0.737870 | − | 0.0775532i | ||||
\(201\) | −11.7793 | − | 3.82731i | −0.830844 | − | 0.269958i | ||||
\(202\) | −22.1379 | − | 7.19304i | −1.55762 | − | 0.506100i | ||||
\(203\) | −0.947813 | − | 0.0996192i | −0.0665235 | − | 0.00699190i | ||||
\(204\) | −6.19599 | − | 6.88135i | −0.433806 | − | 0.481791i | ||||
\(205\) | 4.41591 | − | 4.90437i | 0.308421 | − | 0.342536i | ||||
\(206\) | 0.410361 | − | 0.0431306i | 0.0285912 | − | 0.00300505i | ||||
\(207\) | −15.1617 | − | 3.22271i | −1.05381 | − | 0.223994i | ||||
\(208\) | 8.07270 | + | 15.3750i | 0.559741 | + | 1.06607i | ||||
\(209\) | −8.25943 | − | 6.00083i | −0.571317 | − | 0.415086i | ||||
\(210\) | 0.102400 | − | 0.229993i | 0.00706624 | − | 0.0158710i | ||||
\(211\) | −2.35151 | − | 4.07293i | −0.161884 | − | 0.280392i | 0.773660 | − | 0.633601i | \(-0.218424\pi\) |
−0.935544 | + | 0.353209i | \(0.885091\pi\) | |||||||
\(212\) | −2.02717 | + | 3.51116i | −0.139227 | + | 0.241148i | ||||
\(213\) | −8.10111 | − | 11.1502i | −0.555079 | − | 0.764001i | ||||
\(214\) | −1.67481 | − | 7.87935i | −0.114487 | − | 0.538621i | ||||
\(215\) | 0.654123 | − | 0.212537i | 0.0446108 | − | 0.0144949i | ||||
\(216\) | 0.418413i | 0.0284694i | ||||||||
\(217\) | −0.384351 | + | 0.389843i | −0.0260915 | + | 0.0264643i | ||||
\(218\) | 0.346993 | 0.0235013 | ||||||||
\(219\) | −25.8375 | + | 8.39510i | −1.74593 | + | 0.567288i | ||||
\(220\) | −1.00467 | + | 0.213549i | −0.0677348 | + | 0.0143975i | ||||
\(221\) | 15.1437 | + | 18.2395i | 1.01868 | + | 1.22692i | ||||
\(222\) | −12.9935 | + | 22.5053i | −0.872065 | + | 1.51046i | ||||
\(223\) | 17.1080 | − | 9.87730i | 1.14564 | − | 0.661433i | 0.197816 | − | 0.980239i | \(-0.436615\pi\) |
0.947820 | + | 0.318806i | \(0.103282\pi\) | |||||||
\(224\) | 0.282198 | + | 0.125643i | 0.0188551 | + | 0.00839485i | ||||
\(225\) | −11.3911 | − | 8.27614i | −0.759409 | − | 0.551743i | ||||
\(226\) | −11.5657 | − | 25.9769i | −0.769337 | − | 1.72796i | ||||
\(227\) | 5.33256 | − | 25.0877i | 0.353935 | − | 1.66513i | −0.336459 | − | 0.941698i | \(-0.609230\pi\) |
0.690394 | − | 0.723433i | \(-0.257437\pi\) | |||||||
\(228\) | 5.15391 | − | 0.541698i | 0.341326 | − | 0.0358748i | ||||
\(229\) | 6.14288 | + | 5.53107i | 0.405933 | + | 0.365504i | 0.846657 | − | 0.532139i | \(-0.178612\pi\) |
−0.440724 | + | 0.897643i | \(0.645278\pi\) | |||||||
\(230\) | −3.50520 | − | 3.89292i | −0.231126 | − | 0.256691i | ||||
\(231\) | 0.0702765 | − | 0.668637i | 0.00462386 | − | 0.0439931i | ||||
\(232\) | 21.1174 | + | 6.86145i | 1.38642 | + | 0.450477i | ||||
\(233\) | −1.20234 | + | 3.70041i | −0.0787676 | + | 0.242422i | −0.982685 | − | 0.185286i | \(-0.940679\pi\) |
0.903917 | + | 0.427708i | \(0.140679\pi\) | |||||||
\(234\) | −0.712722 | + | 17.7594i | −0.0465921 | + | 1.16097i | ||||
\(235\) | 2.82235 | + | 3.13454i | 0.184110 | + | 0.204475i | ||||
\(236\) | −1.29254 | − | 1.16381i | −0.0841375 | − | 0.0757577i | ||||
\(237\) | −0.179798 | − | 1.71066i | −0.0116791 | − | 0.111119i | ||||
\(238\) | 1.01404 | + | 0.215542i | 0.0657307 | + | 0.0139715i | ||||
\(239\) | 4.06721 | + | 9.13511i | 0.263086 | + | 0.590901i | 0.995993 | − | 0.0894274i | \(-0.0285037\pi\) |
−0.732907 | + | 0.680329i | \(0.761837\pi\) | |||||||
\(240\) | −4.52030 | + | 6.22166i | −0.291784 | + | 0.401606i | ||||
\(241\) | −9.51984 | + | 21.3819i | −0.613227 | + | 1.37733i | 0.293641 | + | 0.955916i | \(0.405133\pi\) |
−0.906868 | + | 0.421415i | \(0.861534\pi\) | |||||||
\(242\) | 4.58654 | − | 2.64804i | 0.294834 | − | 0.170223i | ||||
\(243\) | 11.0838 | − | 19.1977i | 0.711026 | − | 1.23153i | ||||
\(244\) | 4.73823 | − | 3.44253i | 0.303334 | − | 0.220385i | ||||
\(245\) | −0.941604 | − | 4.42990i | −0.0601569 | − | 0.283016i | ||||
\(246\) | 12.4402 | + | 38.2871i | 0.793160 | + | 2.44110i | ||||
\(247\) | −13.2400 | + | 0.856617i | −0.842441 | + | 0.0545052i | ||||
\(248\) | 10.6475 | − | 7.02243i | 0.676115 | − | 0.445924i | ||||
\(249\) | − | 31.8627i | − | 2.01922i | ||||||
\(250\) | −3.07566 | − | 9.46590i | −0.194522 | − | 0.598676i | ||||
\(251\) | 29.7524 | − | 6.32408i | 1.87796 | − | 0.399172i | 0.880732 | − | 0.473614i | \(-0.157051\pi\) |
0.997225 | + | 0.0744422i | \(0.0237176\pi\) | |||||||
\(252\) | 0.101522 | + | 0.139733i | 0.00639530 | + | 0.00880237i | ||||
\(253\) | −12.1150 | − | 6.99460i | −0.761663 | − | 0.439747i | ||||
\(254\) | 21.3665 | − | 12.3360i | 1.34066 | − | 0.774028i | ||||
\(255\) | −4.27019 | + | 9.59100i | −0.267410 | + | 0.600612i | ||||
\(256\) | −10.2755 | − | 7.46562i | −0.642222 | − | 0.466601i | ||||
\(257\) | −10.4614 | + | 4.65773i | −0.652566 | + | 0.290541i | −0.706193 | − | 0.708020i | \(-0.749589\pi\) |
0.0536263 | + | 0.998561i | \(0.482922\pi\) | |||||||
\(258\) | −0.872305 | + | 4.10387i | −0.0543073 | + | 0.255496i | ||||
\(259\) | −0.0675813 | − | 0.642993i | −0.00419930 | − | 0.0399537i | ||||
\(260\) | −0.827257 | + | 1.04756i | −0.0513043 | + | 0.0649668i | ||||
\(261\) | 19.9376 | + | 22.1430i | 1.23411 | + | 1.37062i | ||||
\(262\) | −12.1615 | − | 1.27823i | −0.751343 | − | 0.0789693i | ||||
\(263\) | 1.45721 | − | 4.48482i | 0.0898552 | − | 0.276546i | −0.896024 | − | 0.444006i | \(-0.853557\pi\) |
0.985879 | + | 0.167461i | \(0.0535567\pi\) | |||||||
\(264\) | −4.84043 | + | 14.8973i | −0.297908 | + | 0.916865i | ||||
\(265\) | 4.57160 | + | 0.480495i | 0.280831 | + | 0.0295166i | ||||
\(266\) | −0.431170 | + | 0.388227i | −0.0264367 | + | 0.0238037i | ||||
\(267\) | 13.9485 | + | 12.5592i | 0.853632 | + | 0.768614i | ||||
\(268\) | 2.85590 | − | 0.300167i | 0.174452 | − | 0.0183356i | ||||
\(269\) | 10.7575 | + | 2.28659i | 0.655899 | + | 0.139416i | 0.523827 | − | 0.851824i | \(-0.324504\pi\) |
0.132072 | + | 0.991240i | \(0.457837\pi\) | |||||||
\(270\) | −0.173350 | + | 0.0771804i | −0.0105497 | + | 0.00469705i | ||||
\(271\) | 7.80801 | − | 10.7468i | 0.474303 | − | 0.652822i | −0.503095 | − | 0.864231i | \(-0.667805\pi\) |
0.977398 | + | 0.211409i | \(0.0678053\pi\) | |||||||
\(272\) | −28.9299 | − | 12.8804i | −1.75413 | − | 0.780989i | ||||
\(273\) | −0.484808 | − | 0.726889i | −0.0293419 | − | 0.0439933i | ||||
\(274\) | −8.73279 | + | 15.1256i | −0.527567 | + | 0.913773i | ||||
\(275\) | −7.46927 | − | 10.2806i | −0.450414 | − | 0.619941i | ||||
\(276\) | 6.94587 | − | 1.47639i | 0.418092 | − | 0.0888683i | ||||
\(277\) | 0.237230 | + | 0.730120i | 0.0142538 | + | 0.0438687i | 0.957930 | − | 0.287000i | \(-0.0926581\pi\) |
−0.943677 | + | 0.330869i | \(0.892658\pi\) | |||||||
\(278\) | − | 28.6771i | − | 1.71994i | ||||||
\(279\) | 17.0857 | − | 1.01700i | 1.02289 | − | 0.0608861i | ||||
\(280\) | − | 0.145931i | − | 0.00872104i | ||||||
\(281\) | 1.12453 | − | 0.365383i | 0.0670841 | − | 0.0217969i | −0.275283 | − | 0.961363i | \(-0.588771\pi\) |
0.342367 | + | 0.939566i | \(0.388771\pi\) | |||||||
\(282\) | −25.1676 | + | 5.34953i | −1.49871 | + | 0.318560i | ||||
\(283\) | 8.82607 | − | 6.41251i | 0.524655 | − | 0.381184i | −0.293700 | − | 0.955898i | \(-0.594887\pi\) |
0.818355 | + | 0.574714i | \(0.194887\pi\) | |||||||
\(284\) | 2.76741 | + | 1.59776i | 0.164215 | + | 0.0948098i | ||||
\(285\) | −2.93783 | − | 5.08847i | −0.174022 | − | 0.301415i | ||||
\(286\) | −5.56467 | + | 15.0447i | −0.329046 | + | 0.889614i | ||||
\(287\) | −0.810290 | − | 0.588710i | −0.0478299 | − | 0.0347505i | ||||
\(288\) | −3.92818 | − | 8.82283i | −0.231470 | − | 0.519890i | ||||
\(289\) | −25.6584 | − | 5.45386i | −1.50932 | − | 0.320815i | ||||
\(290\) | 1.05258 | + | 10.0147i | 0.0618098 | + | 0.588081i | ||||
\(291\) | 17.0524 | + | 15.3541i | 0.999632 | + | 0.900073i | ||||
\(292\) | 4.68094 | − | 4.21474i | 0.273932 | − | 0.246649i | ||||
\(293\) | 17.8396 | + | 1.87502i | 1.04220 | + | 0.109540i | 0.610131 | − | 0.792301i | \(-0.291117\pi\) |
0.432069 | + | 0.901840i | \(0.357784\pi\) | |||||||
\(294\) | 26.2744 | + | 8.53706i | 1.53235 | + | 0.497891i | ||||
\(295\) | −0.609380 | + | 1.87548i | −0.0354795 | + | 0.109195i | ||||
\(296\) | −1.57453 | + | 14.9807i | −0.0915179 | + | 0.870735i | ||||
\(297\) | −0.376581 | + | 0.339075i | −0.0218514 | + | 0.0196751i | ||||
\(298\) | 7.68936 | − | 8.53990i | 0.445433 | − | 0.494703i | ||||
\(299\) | −17.9200 | + | 3.06372i | −1.03634 | + | 0.177179i | ||||
\(300\) | 6.30948 | + | 1.34112i | 0.364278 | + | 0.0774297i | ||||
\(301\) | −0.0424561 | − | 0.0953579i | −0.00244713 | − | 0.00549634i | ||||
\(302\) | 7.89316 | + | 5.73471i | 0.454200 | + | 0.329996i | ||||
\(303\) | −32.6825 | − | 14.5512i | −1.87756 | − | 0.835943i | ||||
\(304\) | 15.3486 | − | 8.86153i | 0.880304 | − | 0.508244i | ||||
\(305\) | −5.75073 | − | 3.32019i | −0.329286 | − | 0.190113i | ||||
\(306\) | −19.0513 | − | 26.2219i | −1.08909 | − | 1.49901i | ||||
\(307\) | 1.00645 | + | 4.73499i | 0.0574413 | + | 0.270240i | 0.997491 | − | 0.0707983i | \(-0.0225547\pi\) |
−0.940049 | + | 0.341039i | \(0.889221\pi\) | |||||||
\(308\) | 0.0481698 | + | 0.148251i | 0.00274473 | + | 0.00844741i | ||||
\(309\) | 0.634170 | 0.0360767 | ||||||||
\(310\) | 4.87344 | + | 3.11593i | 0.276793 | + | 0.176973i | ||||
\(311\) | −16.9709 | −0.962333 | −0.481167 | − | 0.876629i | \(-0.659787\pi\) | ||||
−0.481167 | + | 0.876629i | \(0.659787\pi\) | |||||||
\(312\) | 7.52736 | + | 18.9137i | 0.426153 | + | 1.07077i | ||||
\(313\) | −1.76939 | + | 0.376095i | −0.100012 | + | 0.0212581i | −0.257646 | − | 0.966239i | \(-0.582947\pi\) |
0.157634 | + | 0.987498i | \(0.449613\pi\) | |||||||
\(314\) | −10.7336 | − | 14.7736i | −0.605734 | − | 0.833721i | ||||
\(315\) | 0.0979143 | − | 0.169593i | 0.00551685 | − | 0.00955546i | ||||
\(316\) | 0.199405 | + | 0.345380i | 0.0112174 | + | 0.0194291i | ||||
\(317\) | 10.2158 | − | 22.9451i | 0.573776 | − | 1.28872i | −0.360695 | − | 0.932684i | \(-0.617460\pi\) |
0.934471 | − | 0.356039i | \(-0.115873\pi\) | |||||||
\(318\) | −16.4820 | + | 22.6855i | −0.924263 | + | 1.27214i | ||||
\(319\) | 10.9377 | + | 24.5665i | 0.612394 | + | 1.37546i | ||||
\(320\) | −0.618923 | + | 2.91180i | −0.0345988 | + | 0.162775i | ||||
\(321\) | −1.29412 | − | 12.3127i | −0.0722308 | − | 0.687230i | ||||
\(322\) | −0.531969 | + | 0.590811i | −0.0296455 | + | 0.0329246i | ||||
\(323\) | 17.9803 | − | 16.1896i | 1.00045 | − | 0.900811i | ||||
\(324\) | −0.523962 | + | 4.98517i | −0.0291090 | + | 0.276954i | ||||
\(325\) | −16.0028 | − | 4.07852i | −0.887675 | − | 0.226235i | ||||
\(326\) | 5.93188 | − | 18.2564i | 0.328536 | − | 1.01113i | ||||
\(327\) | 0.530383 | + | 0.0557455i | 0.0293303 | + | 0.00308273i | ||||
\(328\) | 15.6142 | + | 17.3413i | 0.862149 | + | 0.957513i | ||||
\(329\) | 0.428336 | − | 0.475716i | 0.0236149 | − | 0.0262271i | ||||
\(330\) | −7.06486 | + | 0.742547i | −0.388908 | + | 0.0408759i | ||||
\(331\) | 3.46514 | − | 16.3022i | 0.190461 | − | 0.896050i | −0.774279 | − | 0.632845i | \(-0.781887\pi\) |
0.964740 | − | 0.263205i | \(-0.0847796\pi\) | |||||||
\(332\) | 3.00478 | + | 6.74885i | 0.164909 | + | 0.370391i | ||||
\(333\) | −11.8813 | + | 16.3532i | −0.651093 | + | 0.896152i | ||||
\(334\) | 24.4525 | + | 10.8869i | 1.33798 | + | 0.595707i | ||||
\(335\) | −1.62792 | − | 2.81963i | −0.0889425 | − | 0.154053i | ||||
\(336\) | 1.01077 | + | 0.583569i | 0.0551420 | + | 0.0318363i | ||||
\(337\) | 16.0771 | − | 11.6807i | 0.875778 | − | 0.636290i | −0.0563532 | − | 0.998411i | \(-0.517947\pi\) |
0.932131 | + | 0.362121i | \(0.117947\pi\) | |||||||
\(338\) | 6.92561 | + | 19.6623i | 0.376703 | + | 1.06949i | ||||
\(339\) | −13.5050 | − | 41.5641i | −0.733491 | − | 2.25745i | ||||
\(340\) | − | 2.43417i | − | 0.132011i | ||||||
\(341\) | 14.9489 | + | 3.89210i | 0.809526 | + | 0.210769i | ||||
\(342\) | 18.1397 | 0.980881 | ||||||||
\(343\) | −1.30828 | + | 0.425085i | −0.0706403 | + | 0.0229524i | ||||
\(344\) | 0.505627 | + | 2.37879i | 0.0272616 | + | 0.128256i | ||||
\(345\) | −4.73233 | − | 6.51349i | −0.254780 | − | 0.350675i | ||||
\(346\) | −7.87313 | − | 4.54556i | −0.423262 | − | 0.244371i | ||||
\(347\) | 8.80059 | + | 15.2431i | 0.472440 | + | 0.818290i | 0.999503 | − | 0.0315361i | \(-0.0100399\pi\) |
−0.527062 | + | 0.849827i | \(0.676707\pi\) | |||||||
\(348\) | −12.4702 | − | 5.55208i | −0.668472 | − | 0.297623i | ||||
\(349\) | −9.14237 | + | 12.5834i | −0.489380 | + | 0.673574i | −0.980274 | − | 0.197646i | \(-0.936670\pi\) |
0.490893 | + | 0.871220i | \(0.336670\pi\) | |||||||
\(350\) | −0.659739 | + | 0.293735i | −0.0352645 | + | 0.0157008i | ||||
\(351\) | −0.0950445 | + | 0.651652i | −0.00507310 | + | 0.0347826i | ||||
\(352\) | −0.911093 | − | 8.66847i | −0.0485614 | − | 0.462031i | ||||
\(353\) | −18.5293 | − | 16.6839i | −0.986217 | − | 0.887994i | 0.00749332 | − | 0.999972i | \(-0.497615\pi\) |
−0.993711 | + | 0.111978i | \(0.964281\pi\) | |||||||
\(354\) | −8.04921 | − | 8.93955i | −0.427811 | − | 0.475132i | ||||
\(355\) | 0.378714 | − | 3.60322i | 0.0201000 | − | 0.191239i | ||||
\(356\) | −4.13881 | − | 1.34478i | −0.219357 | − | 0.0712733i | ||||
\(357\) | 1.51535 | + | 0.492368i | 0.0802009 | + | 0.0260589i | ||||
\(358\) | −2.31701 | − | 0.243527i | −0.122458 | − | 0.0128708i | ||||
\(359\) | −11.0601 | + | 9.95856i | −0.583730 | + | 0.525593i | −0.907230 | − | 0.420635i | \(-0.861807\pi\) |
0.323500 | + | 0.946228i | \(0.395140\pi\) | |||||||
\(360\) | −3.05290 | + | 3.39059i | −0.160902 | + | 0.178700i | ||||
\(361\) | −0.570635 | − | 5.42923i | −0.0300334 | − | 0.285749i | ||||
\(362\) | −6.28041 | + | 29.5470i | −0.330091 | + | 1.55296i | ||||
\(363\) | 7.43600 | − | 3.31072i | 0.390289 | − | 0.173768i | ||||
\(364\) | 0.171236 | + | 0.108243i | 0.00897520 | + | 0.00567348i | ||||
\(365\) | −6.52415 | − | 2.90474i | −0.341490 | − | 0.152041i | ||||
\(366\) | 35.0800 | − | 20.2534i | 1.83366 | − | 1.05866i | ||||
\(367\) | 7.36845 | − | 12.7625i | 0.384630 | − | 0.666199i | −0.607088 | − | 0.794635i | \(-0.707662\pi\) |
0.991718 | + | 0.128436i | \(0.0409957\pi\) | |||||||
\(368\) | 19.6470 | − | 14.2744i | 1.02417 | − | 0.744104i | ||||
\(369\) | 6.51053 | + | 30.6296i | 0.338924 | + | 1.59451i | ||||
\(370\) | −6.49698 | + | 2.11100i | −0.337762 | + | 0.109746i | ||||
\(371\) | − | 0.697634i | − | 0.0362193i | ||||||
\(372\) | −6.96109 | + | 3.60928i | −0.360916 | + | 0.187132i | ||||
\(373\) | −3.05831 | −0.158353 | −0.0791766 | − | 0.996861i | \(-0.525229\pi\) | ||||
−0.0791766 | + | 0.996861i | \(0.525229\pi\) | |||||||
\(374\) | −9.03940 | − | 27.8204i | −0.467416 | − | 1.43856i | ||||
\(375\) | −3.18045 | − | 14.9629i | −0.164238 | − | 0.772679i | ||||
\(376\) | −12.0658 | + | 8.76633i | −0.622247 | + | 0.452089i | ||||
\(377\) | 31.3304 | + | 15.4832i | 1.61360 | + | 0.797425i | ||||
\(378\) | 0.0143992 | + | 0.0249401i | 0.000740613 | + | 0.00128278i | ||||
\(379\) | −1.82472 | + | 4.09839i | −0.0937295 | + | 0.210520i | −0.954326 | − | 0.298768i | \(-0.903424\pi\) |
0.860596 | + | 0.509288i | \(0.170091\pi\) | |||||||
\(380\) | 1.10212 | + | 0.800740i | 0.0565378 | + | 0.0410771i | ||||
\(381\) | 34.6408 | − | 15.4231i | 1.77470 | − | 0.790148i | ||||
\(382\) | 4.81617 | − | 22.6583i | 0.246417 | − | 1.15930i | ||||
\(383\) | −6.76490 | + | 0.711019i | −0.345670 | + | 0.0363314i | −0.275773 | − | 0.961223i | \(-0.588934\pi\) |
−0.0698972 | + | 0.997554i | \(0.522267\pi\) | |||||||
\(384\) | −25.0029 | − | 22.5127i | −1.27593 | − | 1.14885i | ||||
\(385\) | 0.131341 | − | 0.118260i | 0.00669375 | − | 0.00602708i | ||||
\(386\) | 3.50874 | − | 33.3835i | 0.178590 | − | 1.69917i | ||||
\(387\) | −1.00847 | + | 3.10375i | −0.0512634 | + | 0.157773i | ||||
\(388\) | −5.05983 | − | 1.64404i | −0.256874 | − | 0.0834634i | ||||
\(389\) | −0.168184 | + | 1.60017i | −0.00852727 | + | 0.0811316i | −0.997958 | − | 0.0638757i | \(-0.979654\pi\) |
0.989431 | + | 0.145007i | \(0.0463206\pi\) | |||||||
\(390\) | −6.44749 | + | 6.60742i | −0.326482 | + | 0.334579i | ||||
\(391\) | 22.1837 | − | 24.6375i | 1.12188 | − | 1.24597i | ||||
\(392\) | 15.9258 | − | 1.67387i | 0.804377 | − | 0.0845434i | ||||
\(393\) | −18.3837 | − | 3.90758i | −0.927336 | − | 0.197111i | ||||
\(394\) | −14.8251 | + | 6.60055i | −0.746877 | + | 0.332531i | ||||
\(395\) | 0.265778 | − | 0.365812i | 0.0133727 | − | 0.0184060i | ||||
\(396\) | 1.98226 | − | 4.45222i | 0.0996122 | − | 0.223733i | ||||
\(397\) | 15.6958 | − | 9.06199i | 0.787751 | − | 0.454808i | −0.0514190 | − | 0.998677i | \(-0.516374\pi\) |
0.839170 | + | 0.543869i | \(0.183041\pi\) | |||||||
\(398\) | 7.09061 | + | 4.09376i | 0.355420 | + | 0.205202i | ||||
\(399\) | −0.721418 | + | 0.524141i | −0.0361161 | + | 0.0262399i | ||||
\(400\) | 21.5779 | − | 4.58653i | 1.07890 | − | 0.229327i | ||||
\(401\) | 12.0334 | − | 3.90988i | 0.600918 | − | 0.195250i | 0.00726796 | − | 0.999974i | \(-0.497687\pi\) |
0.593650 | + | 0.804724i | \(0.297687\pi\) | |||||||
\(402\) | 19.8609 | 0.990570 | ||||||||
\(403\) | 18.1779 | − | 8.51836i | 0.905508 | − | 0.424330i | ||||
\(404\) | 8.29471 | 0.412677 | ||||||||
\(405\) | 5.40512 | − | 1.75623i | 0.268583 | − | 0.0872678i | ||||
\(406\) | 1.49486 | − | 0.317742i | 0.0741885 | − | 0.0157693i | ||||
\(407\) | −14.7589 | + | 10.7230i | −0.731572 | + | 0.531518i | ||||
\(408\) | −32.1487 | − | 18.5610i | −1.59160 | − | 0.918909i | ||||
\(409\) | 9.24595 | − | 5.33815i | 0.457183 | − | 0.263955i | −0.253676 | − | 0.967289i | \(-0.581640\pi\) |
0.710859 | + | 0.703335i | \(0.248306\pi\) | |||||||
\(410\) | −4.30437 | + | 9.66777i | −0.212578 | + | 0.477457i | ||||
\(411\) | −15.7782 | + | 21.7168i | −0.778279 | + | 1.07121i | ||||
\(412\) | −0.134324 | + | 0.0598048i | −0.00661765 | + | 0.00294637i | ||||
\(413\) | 0.292741 | + | 0.0622241i | 0.0144049 | + | 0.00306185i | ||||
\(414\) | 24.7197 | − | 2.59815i | 1.21491 | − | 0.127692i | ||||
\(415\) | 5.60460 | − | 6.22454i | 0.275119 | − | 0.305551i | ||||
\(416\) | −8.10719 | − | 7.91097i | −0.397488 | − | 0.387867i | ||||
\(417\) | 4.60707 | − | 43.8333i | 0.225609 | − | 2.14653i | ||||
\(418\) | 15.5699 | + | 5.05897i | 0.761549 | + | 0.247442i | ||||
\(419\) | −6.12023 | + | 18.8361i | −0.298993 | + | 0.920206i | 0.682858 | + | 0.730551i | \(0.260737\pi\) |
−0.981851 | + | 0.189654i | \(0.939263\pi\) | |||||||
\(420\) | −0.00937757 | + | 0.0892217i | −0.000457579 | + | 0.00435357i | ||||
\(421\) | −15.8491 | + | 14.2706i | −0.772436 | + | 0.695505i | −0.957886 | − | 0.287149i | \(-0.907292\pi\) |
0.185450 | + | 0.982654i | \(0.440626\pi\) | |||||||
\(422\) | 5.60449 | + | 5.04631i | 0.272823 | + | 0.245651i | ||||
\(423\) | −19.9041 | + | 2.09201i | −0.967771 | + | 0.101717i | ||||
\(424\) | −3.37934 | + | 15.8985i | −0.164115 | + | 0.772101i | ||||
\(425\) | 27.5119 | − | 12.2491i | 1.33452 | − | 0.594168i | ||||
\(426\) | 17.8801 | + | 12.9907i | 0.866294 | + | 0.629400i | ||||
\(427\) | −0.409901 | + | 0.920653i | −0.0198365 | + | 0.0445535i | ||||
\(428\) | 1.43525 | + | 2.48592i | 0.0693753 | + | 0.120162i | ||||
\(429\) | −10.9226 | + | 22.1021i | −0.527350 | + | 1.06710i | ||||
\(430\) | −0.892272 | + | 0.648274i | −0.0430292 | + | 0.0312625i | ||||
\(431\) | −4.43521 | − | 20.8660i | −0.213637 | − | 1.00508i | −0.946000 | − | 0.324168i | \(-0.894916\pi\) |
0.732363 | − | 0.680915i | \(-0.238417\pi\) | |||||||
\(432\) | −0.271840 | − | 0.836637i | −0.0130789 | − | 0.0402527i | ||||
\(433\) | −23.6024 | −1.13426 | −0.567129 | − | 0.823629i | \(-0.691946\pi\) | ||||
−0.567129 | + | 0.823629i | \(0.691946\pi\) | |||||||
\(434\) | 0.392989 | − | 0.785000i | 0.0188641 | − | 0.0376812i | ||||
\(435\) | 15.4766i | 0.742048i | ||||||||
\(436\) | −0.117598 | + | 0.0382098i | −0.00563190 | + | 0.00182992i | ||||
\(437\) | 3.85767 | + | 18.1489i | 0.184537 | + | 0.868181i | ||||
\(438\) | 35.2442 | − | 25.6064i | 1.68403 | − | 1.22352i | ||||
\(439\) | 14.9837 | − | 25.9525i | 0.715131 | − | 1.23864i | −0.247778 | − | 0.968817i | \(-0.579700\pi\) |
0.962909 | − | 0.269826i | \(-0.0869663\pi\) | |||||||
\(440\) | −3.56601 | + | 2.05883i | −0.170003 | + | 0.0981511i | ||||
\(441\) | 19.6312 | + | 8.74038i | 0.934820 | + | 0.416209i | ||||
\(442\) | −32.1336 | − | 20.3126i | −1.52844 | − | 0.966171i | ||||
\(443\) | 0.868825 | − | 0.386826i | 0.0412791 | − | 0.0183786i | −0.385993 | − | 0.922502i | \(-0.626141\pi\) |
0.427272 | + | 0.904123i | \(0.359475\pi\) | |||||||
\(444\) | 1.92533 | − | 9.05796i | 0.0913721 | − | 0.429872i | ||||
\(445\) | 0.515748 | + | 4.90702i | 0.0244488 | + | 0.232615i | ||||
\(446\) | −21.1966 | + | 23.5412i | −1.00369 | + | 1.11471i | ||||
\(447\) | 13.1252 | − | 11.8180i | 0.620803 | − | 0.558973i | ||||
\(448\) | 0.449309 | + | 0.0472243i | 0.0212279 | + | 0.00223114i | ||||
\(449\) | −25.3581 | − | 8.23935i | −1.19672 | − | 0.388839i | −0.358169 | − | 0.933657i | \(-0.616599\pi\) |
−0.838555 | + | 0.544818i | \(0.816599\pi\) | |||||||
\(450\) | 21.4735 | + | 6.97715i | 1.01227 | + | 0.328906i | ||||
\(451\) | −2.95408 | + | 28.1062i | −0.139102 | + | 1.32347i | ||||
\(452\) | 6.78016 | + | 7.53013i | 0.318912 | + | 0.354187i | ||||
\(453\) | 11.1435 | + | 10.0336i | 0.523567 | + | 0.471421i | ||||
\(454\) | 4.29911 | + | 40.9033i | 0.201767 | + | 1.91969i | ||||
\(455\) | 0.0331489 | − | 0.227278i | 0.00155404 | − | 0.0106550i | ||||
\(456\) | 18.9795 | − | 8.45022i | 0.888797 | − | 0.395718i | ||||
\(457\) | −14.2334 | + | 19.5906i | −0.665809 | + | 0.916408i | −0.999656 | − | 0.0262193i | \(-0.991653\pi\) |
0.333847 | + | 0.942627i | \(0.391653\pi\) | |||||||
\(458\) | −12.1092 | − | 5.39136i | −0.565826 | − | 0.251922i | ||||
\(459\) | −0.600463 | − | 1.04003i | −0.0280272 | − | 0.0485445i | ||||
\(460\) | 1.61660 | + | 0.933346i | 0.0753745 | + | 0.0435175i | ||||
\(461\) | −18.6698 | − | 25.6968i | −0.869542 | − | 1.19682i | −0.979209 | − | 0.202853i | \(-0.934979\pi\) |
0.109668 | − | 0.993968i | \(-0.465021\pi\) | |||||||
\(462\) | 0.224151 | + | 1.05455i | 0.0104285 | + | 0.0490621i | ||||
\(463\) | 4.09120 | − | 1.32931i | 0.190134 | − | 0.0617784i | −0.212402 | − | 0.977182i | \(-0.568129\pi\) |
0.402536 | + | 0.915404i | \(0.368129\pi\) | |||||||
\(464\) | −46.6830 | −2.16720 | ||||||||
\(465\) | 6.94853 | + | 5.54567i | 0.322230 | + | 0.257174i | ||||
\(466\) | − | 6.23922i | − | 0.289026i | ||||||
\(467\) | 2.83199 | + | 8.71597i | 0.131049 | + | 0.403327i | 0.994955 | − | 0.100327i | \(-0.0319888\pi\) |
−0.863906 | + | 0.503654i | \(0.831989\pi\) | |||||||
\(468\) | −1.71406 | − | 6.09722i | −0.0792326 | − | 0.281844i | ||||
\(469\) | −0.399754 | + | 0.290438i | −0.0184589 | + | 0.0134112i | ||||
\(470\) | −5.85758 | − | 3.38187i | −0.270190 | − | 0.155994i | ||||
\(471\) | −14.0331 | − | 24.3060i | −0.646609 | − | 1.11996i | ||||
\(472\) | −6.36993 | − | 2.83608i | −0.293200 | − | 0.130541i | ||||
\(473\) | −1.73121 | + | 2.38280i | −0.0796011 | + | 0.109561i | ||||
\(474\) | 1.12189 | + | 2.51981i | 0.0515301 | + | 0.115738i | ||||
\(475\) | −3.50422 | + | 16.4861i | −0.160785 | + | 0.756433i | ||||
\(476\) | −0.367399 | + | 0.0386152i | −0.0168397 | + | 0.00176992i | ||||
\(477\) | −14.5946 | + | 16.2090i | −0.668242 | + | 0.742157i | ||||
\(478\) | −10.7295 | − | 11.9164i | −0.490758 | − | 0.545042i | ||||
\(479\) | −41.5556 | − | 4.36767i | −1.89872 | − | 0.199564i | −0.918220 | − | 0.396071i | \(-0.870373\pi\) |
−0.980502 | + | 0.196507i | \(0.937040\pi\) | |||||||
\(480\) | 1.55015 | − | 4.77087i | 0.0707544 | − | 0.217760i | ||||
\(481\) | −5.85517 | + | 22.9738i | −0.266973 | + | 1.04752i | ||||
\(482\) | 3.92318 | − | 37.3265i | 0.178696 | − | 1.70018i | ||||
\(483\) | −0.908036 | + | 0.817599i | −0.0413171 | + | 0.0372021i | ||||
\(484\) | −1.26281 | + | 1.40249i | −0.0574003 | + | 0.0637495i | ||||
\(485\) | 0.630519 | + | 5.99899i | 0.0286304 | + | 0.272400i | ||||
\(486\) | −7.39068 | + | 34.7704i | −0.335248 | + | 1.57722i | ||||
\(487\) | 10.7640 | + | 24.1762i | 0.487762 | + | 1.09553i | 0.974989 | + | 0.222255i | \(0.0713418\pi\) |
−0.487227 | + | 0.873275i | \(0.661992\pi\) | |||||||
\(488\) | 13.8010 | − | 18.9954i | 0.624741 | − | 0.859882i | ||||
\(489\) | 11.9999 | − | 26.9522i | 0.542654 | − | 1.21882i | ||||
\(490\) | 3.63117 | + | 6.28937i | 0.164039 | + | 0.284125i | ||||
\(491\) | 4.47773 | − | 7.75566i | 0.202077 | − | 0.350008i | −0.747120 | − | 0.664689i | \(-0.768564\pi\) |
0.949198 | + | 0.314681i | \(0.101897\pi\) | |||||||
\(492\) | −8.43210 | − | 11.6058i | −0.380148 | − | 0.523229i | ||||
\(493\) | −62.3374 | + | 13.2502i | −2.80753 | + | 0.596760i | ||||
\(494\) | 19.7676 | − | 7.86721i | 0.889386 | − | 0.353963i | ||||
\(495\) | −5.52561 | −0.248358 | ||||||||
\(496\) | −16.7277 | + | 20.9592i | −0.751096 | + | 0.941098i | ||||
\(497\) | −0.549857 | −0.0246644 | ||||||||
\(498\) | 15.7889 | + | 48.5933i | 0.707518 | + | 2.17752i | ||||
\(499\) | 2.24963 | + | 10.5837i | 0.100707 | + | 0.473791i | 0.999381 | + | 0.0351734i | \(0.0111984\pi\) |
−0.898674 | + | 0.438617i | \(0.855468\pi\) | |||||||
\(500\) | 2.08471 | + | 2.86936i | 0.0932310 | + | 0.128321i | ||||
\(501\) | 35.6269 | + | 20.5692i | 1.59169 | + | 0.918963i | ||||
\(502\) | −42.2411 | + | 24.3879i | −1.88531 | + | 1.08849i | ||||
\(503\) | −1.72975 | − | 0.770136i | −0.0771259 | − | 0.0343387i | 0.367811 | − | 0.929901i | \(-0.380107\pi\) |
−0.444937 | + | 0.895562i | \(0.646774\pi\) | |||||||
\(504\) | 0.560186 | + | 0.406999i | 0.0249527 | + | 0.0181292i | ||||
\(505\) | −3.82515 | − | 8.59142i | −0.170217 | − | 0.382313i | ||||
\(506\) | 21.9424 | + | 4.66400i | 0.975458 | + | 0.207340i | ||||
\(507\) | 7.42706 | + | 31.1667i | 0.329847 | + | 1.38416i | ||||
\(508\) | −5.88282 | + | 6.53353i | −0.261008 | + | 0.289878i | ||||
\(509\) | −23.9047 | + | 21.5239i | −1.05956 | + | 0.954031i | −0.999026 | − | 0.0441354i | \(-0.985947\pi\) |
−0.0605330 | + | 0.998166i | \(0.519280\pi\) | |||||||
\(510\) | 1.75977 | − | 16.7431i | 0.0779238 | − | 0.741395i | ||||
\(511\) | −0.334927 | + | 1.03080i | −0.0148163 | + | 0.0455998i | ||||
\(512\) | −6.59596 | − | 2.14316i | −0.291503 | − | 0.0947150i | ||||
\(513\) | 0.668425 | + | 0.0702543i | 0.0295117 | + | 0.00310180i | ||||
\(514\) | 13.6465 | − | 12.2874i | 0.601921 | − | 0.541972i | ||||
\(515\) | 0.123888 | + | 0.111549i | 0.00545916 | + | 0.00491545i | ||||
\(516\) | −0.156277 | − | 1.48688i | −0.00687971 | − | 0.0654561i | ||||
\(517\) | −17.6678 | − | 3.75541i | −0.777030 | − | 0.165163i | ||||
\(518\) | 0.421689 | + | 0.947129i | 0.0185279 | + | 0.0416145i | ||||
\(519\) | −11.3039 | − | 8.21278i | −0.496187 | − | 0.360501i | ||||
\(520\) | −1.85637 | + | 5.01892i | −0.0814073 | + | 0.220094i | ||||
\(521\) | −1.31151 | − | 2.27161i | −0.0574585 | − | 0.0995210i | 0.835865 | − | 0.548934i | \(-0.184966\pi\) |
−0.893324 | + | 0.449413i | \(0.851633\pi\) | |||||||
\(522\) | −41.3790 | − | 23.8902i | −1.81111 | − | 1.04565i | ||||
\(523\) | 3.28988 | − | 2.39023i | 0.143856 | − | 0.104518i | −0.513529 | − | 0.858072i | \(-0.671662\pi\) |
0.657386 | + | 0.753554i | \(0.271662\pi\) | |||||||
\(524\) | 4.26236 | − | 0.905992i | 0.186202 | − | 0.0395784i | ||||
\(525\) | −1.05561 | + | 0.342988i | −0.0460705 | + | 0.0149692i | ||||
\(526\) | 7.56180i | 0.329710i | ||||||||
\(527\) | −16.3881 | + | 32.7355i | −0.713877 | + | 1.42598i | ||||
\(528\) | − | 32.9326i | − | 1.43321i | ||||||
\(529\) | 0.749105 | + | 2.30551i | 0.0325698 | + | 0.100239i | ||||
\(530\) | −7.21017 | + | 1.53257i | −0.313190 | + | 0.0665705i | ||||
\(531\) | −5.49987 | − | 7.56992i | −0.238674 | − | 0.328507i | ||||
\(532\) | 0.103375 | − | 0.179051i | 0.00448188 | − | 0.00776285i | ||||
\(533\) | 20.3789 | + | 30.5548i | 0.882710 | + | 1.32348i | ||||
\(534\) | −27.4960 | − | 12.2420i | −1.18987 | − | 0.529764i | ||||
\(535\) | 1.91298 | − | 2.63299i | 0.0827052 | − | 0.113834i | ||||
\(536\) | 10.5170 | − | 4.68246i | 0.454264 | − | 0.202251i | ||||
\(537\) | −3.50245 | − | 0.744468i | −0.151142 | − | 0.0321262i | ||||
\(538\) | −17.5392 | + | 1.84345i | −0.756169 | + | 0.0794766i | ||||
\(539\) | 14.4125 | + | 12.9771i | 0.620792 | + | 0.558964i | ||||
\(540\) | 0.0502502 | − | 0.0452455i | 0.00216243 | − | 0.00194706i | ||||
\(541\) | 6.34347 | + | 0.666726i | 0.272727 | + | 0.0286648i | 0.239905 | − | 0.970796i | \(-0.422884\pi\) |
0.0328224 | + | 0.999461i | \(0.489550\pi\) | |||||||
\(542\) | −6.58250 | + | 20.2589i | −0.282743 | + | 0.870193i | ||||
\(543\) | −14.3465 | + | 44.1540i | −0.615667 | + | 1.89483i | ||||
\(544\) | 20.5435 | + | 2.15920i | 0.880794 | + | 0.0925751i | ||||
\(545\) | 0.0938073 | + | 0.104184i | 0.00401826 | + | 0.00446273i | ||||
\(546\) | 1.09957 | + | 0.868329i | 0.0470571 | + | 0.0371610i | ||||
\(547\) | 2.80913 | + | 26.7270i | 0.120110 | + | 1.14277i | 0.874054 | + | 0.485828i | \(0.161482\pi\) |
−0.753945 | + | 0.656938i | \(0.771851\pi\) | |||||||
\(548\) | 1.29400 | − | 6.08777i | 0.0552768 | − | 0.260057i | ||||
\(549\) | 28.7840 | − | 12.8154i | 1.22847 | − | 0.546950i | ||||
\(550\) | 16.4856 | + | 11.9775i | 0.702947 | + | 0.510721i | ||||
\(551\) | 14.5071 | − | 32.5834i | 0.618022 | − | 1.38810i | ||||
\(552\) | 24.6539 | − | 14.2339i | 1.04934 | − | 0.605836i | ||||
\(553\) | −0.0594298 | − | 0.0343118i | −0.00252721 | − | 0.00145909i | ||||
\(554\) | −0.723591 | − | 0.995938i | −0.0307425 | − | 0.0423134i | ||||
\(555\) | −10.2699 | + | 2.18293i | −0.435931 | + | 0.0926600i | ||||
\(556\) | 3.15783 | + | 9.71881i | 0.133922 | + | 0.412169i | ||||
\(557\) | 1.03053i | 0.0436649i | 0.999762 | + | 0.0218324i | \(0.00695003\pi\) | ||||
−0.999762 | + | 0.0218324i | \(0.993050\pi\) | |||||||
\(558\) | −25.5531 | + | 10.0175i | −1.08175 | + | 0.424073i | ||||
\(559\) | 0.247130 | + | 3.81967i | 0.0104525 | + | 0.161555i | ||||
\(560\) | 0.0948101 | + | 0.291795i | 0.00400646 | + | 0.0123306i | ||||
\(561\) | −9.34739 | − | 43.9760i | −0.394647 | − | 1.85667i | ||||
\(562\) | −1.53395 | + | 1.11448i | −0.0647057 | + | 0.0470114i | ||||
\(563\) | −22.1276 | + | 38.3262i | −0.932569 | + | 1.61526i | −0.153656 | + | 0.988124i | \(0.549105\pi\) |
−0.778913 | + | 0.627132i | \(0.784229\pi\) | |||||||
\(564\) | 7.94033 | − | 4.58435i | 0.334348 | − | 0.193036i | ||||
\(565\) | 4.67279 | − | 10.4953i | 0.196586 | − | 0.441539i | ||||
\(566\) | −10.2829 | + | 14.1532i | −0.432222 | + | 0.594902i | ||||
\(567\) | −0.350821 | − | 0.787957i | −0.0147331 | − | 0.0330911i | ||||
\(568\) | 12.5308 | + | 2.66351i | 0.525781 | + | 0.111758i | ||||
\(569\) | −1.66141 | − | 15.8073i | −0.0696500 | − | 0.662675i | −0.972529 | − | 0.232781i | \(-0.925217\pi\) |
0.902879 | − | 0.429894i | \(-0.141449\pi\) | |||||||
\(570\) | 7.00191 | + | 6.30455i | 0.293278 | + | 0.264068i | ||||
\(571\) | 17.7339 | + | 19.6955i | 0.742143 | + | 0.824233i | 0.989476 | − | 0.144698i | \(-0.0462209\pi\) |
−0.247333 | + | 0.968930i | \(0.579554\pi\) | |||||||
\(572\) | 0.229214 | − | 5.71149i | 0.00958393 | − | 0.238809i | ||||
\(573\) | 11.0017 | − | 33.8598i | 0.459603 | − | 1.41451i | ||||
\(574\) | 1.52748 | + | 0.496309i | 0.0637559 | + | 0.0207155i | ||||
\(575\) | −2.41406 | + | 22.9682i | −0.100673 | + | 0.957841i | ||||
\(576\) | −9.45140 | − | 10.4968i | −0.393808 | − | 0.437369i | ||||
\(577\) | 5.34399 | + | 4.81175i | 0.222473 | + | 0.200316i | 0.772829 | − | 0.634615i | \(-0.218841\pi\) |
−0.550356 | + | 0.834930i | \(0.685508\pi\) | |||||||
\(578\) | 41.8337 | − | 4.39690i | 1.74005 | − | 0.182887i | ||||
\(579\) | 10.7263 | − | 50.4633i | 0.445770 | − | 2.09718i | ||||
\(580\) | −1.45951 | − | 3.27811i | −0.0606027 | − | 0.136116i | ||||
\(581\) | −1.02841 | − | 0.747181i | −0.0426655 | − | 0.0309983i | ||||
\(582\) | −33.6148 | − | 14.9663i | −1.39338 | − | 0.620371i | ||||
\(583\) | −17.0476 | + | 9.84242i | −0.706038 | + | 0.407631i | ||||
\(584\) | 12.6259 | − | 21.8687i | 0.522464 | − | 0.904934i | ||||
\(585\) | −5.52488 | + | 4.58714i | −0.228426 | + | 0.189655i | ||||
\(586\) | −28.1360 | + | 5.98048i | −1.16229 | + | 0.247051i | ||||
\(587\) | 43.1399 | − | 14.0170i | 1.78058 | − | 0.578544i | 0.781600 | − | 0.623780i | \(-0.214404\pi\) |
0.998976 | + | 0.0452360i | \(0.0144040\pi\) | |||||||
\(588\) | −9.84458 | −0.405983 | ||||||||
\(589\) | −9.43071 | − | 18.1887i | −0.388586 | − | 0.749452i | ||||
\(590\) | − | 3.16222i | − | 0.130187i | ||||||
\(591\) | −23.7207 | + | 7.70733i | −0.975740 | + | 0.317037i | ||||
\(592\) | −6.58448 | − | 30.9775i | −0.270620 | − | 1.27317i | ||||
\(593\) | 10.7535 | + | 14.8009i | 0.441593 | + | 0.607801i | 0.970565 | − | 0.240838i | \(-0.0774223\pi\) |
−0.528972 | + | 0.848639i | \(0.677422\pi\) | |||||||
\(594\) | 0.406295 | − | 0.703723i | 0.0166705 | − | 0.0288741i | ||||
\(595\) | 0.209425 | + | 0.362734i | 0.00858557 | + | 0.0148706i | ||||
\(596\) | −1.66557 | + | 3.74094i | −0.0682245 | + | 0.153235i | ||||
\(597\) | 10.1804 | + | 7.39650i | 0.416656 | + | 0.302718i | ||||
\(598\) | 25.8114 | − | 13.5523i | 1.05550 | − | 0.554195i | ||||
\(599\) | −3.86470 | − | 0.821468i | −0.157907 | − | 0.0335643i | 0.128280 | − | 0.991738i | \(-0.459055\pi\) |
−0.286187 | + | 0.958174i | \(0.592388\pi\) | |||||||
\(600\) | 25.7179 | − | 2.70306i | 1.04993 | − | 0.110352i | ||||
\(601\) | 15.9828 | − | 17.7507i | 0.651951 | − | 0.724065i | −0.323021 | − | 0.946392i | \(-0.604698\pi\) |
0.974972 | + | 0.222326i | \(0.0713651\pi\) | |||||||
\(602\) | 0.112002 | + | 0.124390i | 0.00456484 | + | 0.00506977i | ||||
\(603\) | 15.3640 | + | 1.61482i | 0.625670 | + | 0.0657605i | ||||
\(604\) | −3.30651 | − | 1.07435i | −0.134540 | − | 0.0437147i | ||||
\(605\) | 2.03501 | + | 0.661214i | 0.0827348 | + | 0.0268822i | ||||
\(606\) | 57.0539 | + | 5.99661i | 2.31766 | + | 0.243596i | ||||
\(607\) | 23.7791 | + | 26.4094i | 0.965164 | + | 1.07192i | 0.997373 | + | 0.0724425i | \(0.0230794\pi\) |
−0.0322082 | + | 0.999481i | \(0.510254\pi\) | |||||||
\(608\) | −7.73557 | + | 8.59123i | −0.313719 | + | 0.348420i | ||||
\(609\) | 2.33595 | − | 0.245519i | 0.0946576 | − | 0.00994892i | ||||
\(610\) | 10.4156 | + | 2.21390i | 0.421715 | + | 0.0896382i | ||||
\(611\) | −20.7831 | + | 10.9122i | −0.840793 | + | 0.441461i | ||||
\(612\) | 9.34406 | + | 6.78886i | 0.377711 | + | 0.274423i | ||||
\(613\) | −5.83932 | + | 13.1153i | −0.235848 | + | 0.529723i | −0.992231 | − | 0.124405i | \(-0.960298\pi\) |
0.756384 | + | 0.654128i | \(0.226964\pi\) | |||||||
\(614\) | −3.88125 | − | 6.72252i | −0.156635 | − | 0.271299i | ||||
\(615\) | −8.13244 | + | 14.0858i | −0.327932 | + | 0.567994i | ||||
\(616\) | 0.367319 | + | 0.505571i | 0.0147997 | + | 0.0203701i | ||||
\(617\) | 0.954521 | + | 4.49067i | 0.0384275 | + | 0.180787i | 0.993176 | − | 0.116628i | \(-0.0372086\pi\) |
−0.954748 | + | 0.297416i | \(0.903875\pi\) | |||||||
\(618\) | −0.967161 | + | 0.314250i | −0.0389049 | + | 0.0126410i | ||||
\(619\) | − | 32.3105i | − | 1.29867i | −0.760504 | − | 0.649334i | \(-0.775048\pi\) | ||
0.760504 | − | 0.649334i | \(-0.224952\pi\) | |||||||
\(620\) | −1.99475 | − | 0.519354i | −0.0801110 | − | 0.0208578i | ||||
\(621\) | 0.920955 | 0.0369567 | ||||||||
\(622\) | 25.8821 | − | 8.40959i | 1.03778 | − | 0.337194i | ||||
\(623\) | 0.732455 | − | 0.155688i | 0.0293452 | − | 0.00623751i | ||||
\(624\) | −27.3394 | − | 32.9283i | −1.09445 | − | 1.31819i | ||||
\(625\) | −9.44002 | + | 16.3506i | −0.377601 | + | 0.654024i | ||||
\(626\) | 2.51209 | − | 1.45036i | 0.100403 | − | 0.0579680i | ||||
\(627\) | 22.9860 | + | 10.2340i | 0.917974 | + | 0.408708i | ||||
\(628\) | 5.26449 | + | 3.82488i | 0.210076 | + | 0.152629i | ||||
\(629\) | −17.5850 | − | 39.4964i | −0.701158 | − | 1.57483i | ||||
\(630\) | −0.0652893 | + | 0.307162i | −0.00260119 | + | 0.0122376i | ||||
\(631\) | 21.8179 | − | 2.29316i | 0.868558 | − | 0.0912891i | 0.340243 | − | 0.940338i | \(-0.389491\pi\) |
0.528315 | + | 0.849048i | \(0.322824\pi\) | |||||||
\(632\) | 1.18815 | + | 1.06982i | 0.0472622 | + | 0.0425551i | ||||
\(633\) | 7.75583 | + | 8.61372i | 0.308267 | + | 0.342365i | ||||
\(634\) | −4.20998 | + | 40.0553i | −0.167200 | + | 1.59080i | ||||
\(635\) | 9.48014 | + | 3.08028i | 0.376208 | + | 0.122237i | ||||
\(636\) | 3.08776 | − | 9.50316i | 0.122438 | − | 0.376825i | ||||
\(637\) | 25.1837 | + | 1.01068i | 0.997816 | + | 0.0400445i | ||||
\(638\) | −28.8543 | − | 32.0459i | −1.14235 | − | 1.26871i | ||||
\(639\) | 12.7755 | + | 11.5031i | 0.505390 | + | 0.455055i | ||||
\(640\) | −0.924490 | − | 8.79594i | −0.0365437 | − | 0.347690i | ||||
\(641\) | 3.01943 | + | 0.641799i | 0.119260 | + | 0.0253495i | 0.267155 | − | 0.963654i | \(-0.413916\pi\) |
−0.147895 | + | 0.989003i | \(0.547250\pi\) | |||||||
\(642\) | 8.07496 | + | 18.1367i | 0.318693 | + | 0.715797i | ||||
\(643\) | −29.0277 | + | 39.9532i | −1.14474 | + | 1.57560i | −0.388303 | + | 0.921532i | \(0.626939\pi\) |
−0.756437 | + | 0.654067i | \(0.773061\pi\) | |||||||
\(644\) | 0.115228 | − | 0.258807i | 0.00454063 | − | 0.0101984i | ||||
\(645\) | −1.46800 | + | 0.847548i | −0.0578023 | + | 0.0333722i | ||||
\(646\) | −19.3991 | + | 33.6002i | −0.763246 | + | 1.32198i | ||||
\(647\) | 10.1873 | − | 7.40153i | 0.400506 | − | 0.290984i | −0.369241 | − | 0.929334i | \(-0.620382\pi\) |
0.769747 | + | 0.638349i | \(0.220382\pi\) | |||||||
\(648\) | 4.17808 | + | 19.6563i | 0.164130 | + | 0.772173i | ||||
\(649\) | −2.60955 | − | 8.03138i | −0.102434 | − | 0.315259i | ||||
\(650\) | 26.4266 | − | 1.70978i | 1.03654 | − | 0.0670631i | ||||
\(651\) | 0.726800 | − | 1.13675i | 0.0284856 | − | 0.0445526i | ||||
\(652\) | 6.84039i | 0.267890i | ||||||||
\(653\) | −8.66939 | − | 26.6816i | −0.339259 | − | 1.04413i | −0.964586 | − | 0.263770i | \(-0.915034\pi\) |
0.625326 | − | 0.780363i | \(-0.284966\pi\) | |||||||
\(654\) | −0.836501 | + | 0.177804i | −0.0327098 | + | 0.00695268i | ||||
\(655\) | −2.90401 | − | 3.99702i | −0.113469 | − | 0.156177i | ||||
\(656\) | −42.4878 | − | 24.5303i | −1.65887 | − | 0.957748i | ||||
\(657\) | 29.3462 | − | 16.9430i | 1.14490 | − | 0.661011i | ||||
\(658\) | −0.417517 | + | 0.937758i | −0.0162765 | + | 0.0365576i | ||||
\(659\) | −12.4040 | − | 9.01205i | −0.483192 | − | 0.351059i | 0.319368 | − | 0.947631i | \(-0.396529\pi\) |
−0.802560 | + | 0.596571i | \(0.796529\pi\) | |||||||
\(660\) | 2.31255 | − | 1.02961i | 0.0900157 | − | 0.0400776i | ||||
\(661\) | 3.79169 | − | 17.8385i | 0.147480 | − | 0.693837i | −0.840820 | − | 0.541314i | \(-0.817927\pi\) |
0.988300 | − | 0.152523i | \(-0.0487397\pi\) | |||||||
\(662\) | 2.79359 | + | 26.5793i | 0.108576 | + | 1.03303i | ||||
\(663\) | −45.8533 | − | 36.2104i | −1.78079 | − | 1.40629i | ||||
\(664\) | 19.8172 | + | 22.0093i | 0.769058 | + | 0.854126i | ||||
\(665\) | −0.233128 | − | 0.0245027i | −0.00904031 | − | 0.000950175i | ||||
\(666\) | 10.0165 | − | 30.8276i | 0.388131 | − | 1.19454i | ||||
\(667\) | 15.1025 | − | 46.4807i | 0.584771 | − | 1.79974i | ||||
\(668\) | −9.48589 | − | 0.997007i | −0.367020 | − | 0.0385754i | ||||
\(669\) | −36.1812 | + | 32.5777i | −1.39885 | + | 1.25953i | ||||
\(670\) | 3.87991 | + | 3.49349i | 0.149894 | + | 0.134965i | ||||
\(671\) | 28.2803 | − | 2.97238i | 1.09175 | − | 0.114748i | ||||
\(672\) | −0.744679 | − | 0.158286i | −0.0287266 | − | 0.00610603i | ||||
\(673\) | −14.3204 | + | 6.37584i | −0.552009 | + | 0.245770i | −0.663734 | − | 0.747969i | \(-0.731029\pi\) |
0.111724 | + | 0.993739i | \(0.464363\pi\) | |||||||
\(674\) | −18.7308 | + | 25.7808i | −0.721484 | + | 0.993038i | ||||
\(675\) | 0.764250 | + | 0.340266i | 0.0294160 | + | 0.0130968i | ||||
\(676\) | −4.51227 | − | 5.90102i | −0.173549 | − | 0.226962i | ||||
\(677\) | 11.7443 | − | 20.3417i | 0.451370 | − | 0.781797i | −0.547101 | − | 0.837067i | \(-0.684269\pi\) |
0.998471 | + | 0.0552700i | \(0.0176020\pi\) | |||||||
\(678\) | 41.1925 | + | 56.6966i | 1.58199 | + | 2.17742i | ||||
\(679\) | 0.895450 | − | 0.190334i | 0.0343642 | − | 0.00730434i | ||||
\(680\) | −3.01554 | − | 9.28088i | −0.115641 | − | 0.355906i | ||||
\(681\) | 63.2118i | 2.42228i | ||||||||
\(682\) | −24.7269 | + | 1.47183i | −0.946841 | + | 0.0563592i | ||||
\(683\) | 14.6724i | 0.561425i | 0.959792 | + | 0.280712i | \(0.0905707\pi\) | ||||
−0.959792 | + | 0.280712i | \(0.909429\pi\) | |||||||
\(684\) | −6.14762 | + | 1.99748i | −0.235060 | + | 0.0763756i | ||||
\(685\) | −6.90228 | + | 1.46712i | −0.263722 | + | 0.0560559i | ||||
\(686\) | 1.78459 | − | 1.29658i | 0.0681358 | − | 0.0495036i | ||||
\(687\) | −17.6429 | − | 10.1861i | −0.673119 | − | 0.388626i | ||||
\(688\) | −2.55651 | − | 4.42800i | −0.0974659 | − | 0.168816i | ||||
\(689\) | −8.87453 | + | 23.9933i | −0.338093 | + | 0.914073i | ||||
\(690\) | 10.4448 | + | 7.58860i | 0.397627 | + | 0.288893i | ||||
\(691\) | 10.4273 | + | 23.4200i | 0.396672 | + | 0.890941i | 0.995908 | + | 0.0903682i | \(0.0288044\pi\) |
−0.599236 | + | 0.800572i | \(0.704529\pi\) | |||||||
\(692\) | 3.16878 | + | 0.673546i | 0.120459 | + | 0.0256044i | ||||
\(693\) | 0.0876574 | + | 0.834004i | 0.00332983 | + | 0.0316812i | ||||
\(694\) | −20.9750 | − | 18.8860i | −0.796200 | − | 0.716902i | ||||
\(695\) | 8.61021 | − | 7.75267i | 0.326604 | − | 0.294076i | ||||
\(696\) | −54.4239 | − | 5.72018i | −2.06293 | − | 0.216823i | ||||
\(697\) | −63.6979 | − | 20.6967i | −2.41273 | − | 0.783943i | ||||
\(698\) | 7.70743 | − | 23.7210i | 0.291730 | − | 0.897854i | ||||
\(699\) | 1.00235 | − | 9.53672i | 0.0379123 | − | 0.360712i | ||||
\(700\) | 0.191243 | − | 0.172196i | 0.00722832 | − | 0.00650841i | ||||
\(701\) | −3.67100 | + | 4.07706i | −0.138652 | + | 0.153988i | −0.808471 | − | 0.588535i | \(-0.799705\pi\) |
0.669820 | + | 0.742524i | \(0.266371\pi\) | |||||||
\(702\) | −0.177962 | − | 1.04092i | −0.00671674 | − | 0.0392870i | ||||
\(703\) | 23.6676 | + | 5.03071i | 0.892641 | + | 0.189737i | ||||
\(704\) | −5.18500 | − | 11.6457i | −0.195417 | − | 0.438914i | ||||
\(705\) | −8.41007 | − | 6.11027i | −0.316742 | − | 0.230126i | ||||
\(706\) | 36.5261 | + | 16.2625i | 1.37468 | + | 0.612046i | ||||
\(707\) | −1.23606 | + | 0.713639i | −0.0464868 | + | 0.0268391i | ||||
\(708\) | 3.71231 | + | 2.14330i | 0.139517 | + | 0.0805502i | ||||
\(709\) | 6.36470 | + | 8.76026i | 0.239031 | + | 0.328999i | 0.911632 | − | 0.411007i | \(-0.134823\pi\) |
−0.672601 | + | 0.740006i | \(0.734823\pi\) | |||||||
\(710\) | 1.20793 | + | 5.68287i | 0.0453328 | + | 0.213274i | ||||
\(711\) | 0.662995 | + | 2.04049i | 0.0248643 | + | 0.0765243i | ||||
\(712\) | −17.4462 | −0.653826 | ||||||||
\(713\) | −15.4568 | − | 23.4358i | −0.578862 | − | 0.877677i | ||||
\(714\) | −2.55502 | −0.0956191 | ||||||||
\(715\) | −6.02150 | + | 2.39647i | −0.225191 | + | 0.0896229i | ||||
\(716\) | 0.812060 | − | 0.172609i | 0.0303481 | − | 0.00645069i | ||||
\(717\) | −14.4858 | − | 19.9380i | −0.540984 | − | 0.744600i | ||||
\(718\) | 11.9328 | − | 20.6682i | 0.445328 | − | 0.771331i | ||||
\(719\) | −6.94781 | − | 12.0340i | −0.259109 | − | 0.448791i | 0.706894 | − | 0.707319i | \(-0.250096\pi\) |
−0.966004 | + | 0.258529i | \(0.916762\pi\) | |||||||
\(720\) | 3.90157 | − | 8.76308i | 0.145403 | − | 0.326581i | ||||
\(721\) | 0.0148713 | − | 0.0204686i | 0.000553835 | − | 0.000762289i | ||||
\(722\) | 3.56061 | + | 7.99725i | 0.132512 | + | 0.297627i | ||||
\(723\) | 11.9932 | − | 56.4238i | 0.446034 | − | 2.09842i | ||||
\(724\) | −1.12516 | − | 10.7052i | −0.0418163 | − | 0.397855i | ||||
\(725\) | 29.7060 | − | 32.9919i | 1.10325 | − | 1.22529i | ||||
\(726\) | −9.69995 | + | 8.73388i | −0.359999 | + | 0.324145i | ||||
\(727\) | −4.84361 | + | 46.0839i | −0.179640 | + | 1.70916i | 0.418874 | + | 0.908044i | \(0.362425\pi\) |
−0.598513 | + | 0.801113i | \(0.704242\pi\) | |||||||
\(728\) | 0.786976 | + | 0.200571i | 0.0291673 | + | 0.00743365i | ||||
\(729\) | −8.75046 | + | 26.9312i | −0.324091 | + | 0.997450i | ||||
\(730\) | 11.3892 | + | 1.19706i | 0.421535 | + | 0.0443051i | ||||
\(731\) | −4.67060 | − | 5.18723i | −0.172749 | − | 0.191857i | ||||
\(732\) | −9.65853 | + | 10.7269i | −0.356989 | + | 0.396477i | ||||
\(733\) | 46.4639 | − | 4.88355i | 1.71618 | − | 0.180378i | 0.805250 | − | 0.592935i | \(-0.202031\pi\) |
0.910932 | + | 0.412557i | \(0.135364\pi\) | |||||||
\(734\) | −4.91329 | + | 23.1152i | −0.181353 | + | 0.853197i | ||||
\(735\) | 4.53988 | + | 10.1967i | 0.167456 | + | 0.376112i | ||||
\(736\) | −9.31109 | + | 12.8156i | −0.343211 | + | 0.472390i | ||||
\(737\) | 12.7371 | + | 5.67091i | 0.469176 | + | 0.208891i | ||||
\(738\) | −25.1069 | − | 43.4865i | −0.924200 | − | 1.60076i | ||||
\(739\) | 0.910854 | + | 0.525882i | 0.0335063 | + | 0.0193449i | 0.516660 | − | 0.856191i | \(-0.327175\pi\) |
−0.483153 | + | 0.875536i | \(0.660509\pi\) | |||||||
\(740\) | 1.96940 | − | 1.43085i | 0.0723966 | − | 0.0525992i | ||||
\(741\) | 31.4789 | − | 8.84941i | 1.15641 | − | 0.325091i | ||||
\(742\) | 0.345698 | + | 1.06395i | 0.0126910 | + | 0.0390588i | ||||
\(743\) | 30.0891i | 1.10386i | 0.833890 | + | 0.551931i | \(0.186109\pi\) | ||||
−0.833890 | + | 0.551931i | \(0.813891\pi\) | |||||||
\(744\) | −22.0696 | + | 22.3850i | −0.809112 | + | 0.820673i | ||||
\(745\) | 4.64284 | 0.170101 | ||||||||
\(746\) | 4.66417 | − | 1.51548i | 0.170767 | − | 0.0554857i | ||||
\(747\) | 8.26305 | + | 38.8746i | 0.302329 | + | 1.42235i | ||||
\(748\) | 6.12698 | + | 8.43307i | 0.224025 | + | 0.308344i | ||||
\(749\) | −0.427755 | − | 0.246964i | −0.0156298 | − | 0.00902388i | ||||
\(750\) | 12.2650 | + | 21.2436i | 0.447854 | + | 0.775706i | ||||
\(751\) | −12.1487 | − | 5.40895i | −0.443313 | − | 0.197376i | 0.172926 | − | 0.984935i | \(-0.444678\pi\) |
−0.616239 | + | 0.787559i | \(0.711344\pi\) | |||||||
\(752\) | 18.4308 | − | 25.3678i | 0.672101 | − | 0.925067i | ||||
\(753\) | −68.4841 | + | 30.4911i | −2.49570 | + | 1.11116i | ||||
\(754\) | −55.4538 | − | 8.08802i | −2.01951 | − | 0.294548i | ||||
\(755\) | 0.412033 | + | 3.92024i | 0.0149954 | + | 0.142672i | ||||
\(756\) | −0.00762626 | − | 0.00686671i | −0.000277364 | − | 0.000249740i | ||||
\(757\) | 0.492663 | + | 0.547158i | 0.0179061 | + | 0.0198868i | 0.752031 | − | 0.659127i | \(-0.229074\pi\) |
−0.734125 | + | 0.679014i | \(0.762408\pi\) | |||||||
\(758\) | 0.751976 | − | 7.15458i | 0.0273130 | − | 0.259866i | ||||
\(759\) | 32.7899 | + | 10.6541i | 1.19020 | + | 0.386719i | ||||
\(760\) | 5.19411 | + | 1.68767i | 0.188410 | + | 0.0612182i | ||||
\(761\) | 26.5312 | + | 2.78854i | 0.961755 | + | 0.101085i | 0.572375 | − | 0.819992i | \(-0.306022\pi\) |
0.389381 | + | 0.921077i | \(0.372689\pi\) | |||||||
\(762\) | −45.1875 | + | 40.6870i | −1.63697 | + | 1.47393i | ||||
\(763\) | 0.0142367 | − | 0.0158115i | 0.000515404 | − | 0.000572414i | ||||
\(764\) | 0.862837 | + | 8.20935i | 0.0312164 | + | 0.297004i | ||||
\(765\) | 2.72264 | − | 12.8090i | 0.0984374 | − | 0.463111i | ||||
\(766\) | 9.96469 | − | 4.43657i | 0.360039 | − | 0.160300i | ||||
\(767\) | −9.27654 | − | 5.86397i | −0.334956 | − | 0.211736i | ||||
\(768\) | 28.5969 | + | 12.7322i | 1.03190 | + | 0.459432i | ||||
\(769\) | −5.40917 | + | 3.12299i | −0.195060 | + | 0.112618i | −0.594349 | − | 0.804207i | \(-0.702590\pi\) |
0.399289 | + | 0.916825i | \(0.369257\pi\) | |||||||
\(770\) | −0.141704 | + | 0.245439i | −0.00510667 | + | 0.00884501i | ||||
\(771\) | 22.8328 | − | 16.5890i | 0.822305 | − | 0.597439i | ||||
\(772\) | 2.48695 | + | 11.7002i | 0.0895073 | + | 0.421099i | ||||
\(773\) | −6.59881 | + | 2.14408i | −0.237343 | + | 0.0771174i | −0.425273 | − | 0.905065i | \(-0.639822\pi\) |
0.187930 | + | 0.982182i | \(0.439822\pi\) | |||||||
\(774\) | − | 5.23320i | − | 0.188104i | ||||||
\(775\) | −4.16792 | − | 25.1589i | −0.149716 | − | 0.903734i | ||||
\(776\) | −21.3286 | −0.765652 | ||||||||
\(777\) | 0.492397 | + | 1.51544i | 0.0176647 | + | 0.0543662i | ||||
\(778\) | −0.536434 | − | 2.52372i | −0.0192321 | − | 0.0904798i | ||||
\(779\) | 30.3248 | − | 22.0323i | 1.08650 | − | 0.789389i | ||||
\(780\) | 1.45750 | − | 2.94926i | 0.0521868 | − | 0.105600i | ||||
\(781\) | 7.75754 | + | 13.4365i | 0.277587 | + | 0.480794i | ||||
\(782\) | −21.6234 | + | 48.5670i | −0.773251 | + | 1.73675i | ||||
\(783\) | −1.43224 | − | 1.04058i | −0.0511841 | − | 0.0371875i | ||||
\(784\) | −30.7570 | + | 13.6939i | −1.09846 | + | 0.489067i | ||||
\(785\) | 1.53395 | − | 7.21668i | 0.0547491 | − | 0.257574i | ||||
\(786\) | 29.9730 | − | 3.15029i | 1.06910 | − | 0.112367i | ||||
\(787\) | −20.4983 | − | 18.4568i | −0.730686 | − | 0.657913i | 0.217343 | − | 0.976095i | \(-0.430261\pi\) |
−0.948030 | + | 0.318182i | \(0.896928\pi\) | |||||||
\(788\) | 4.29746 | − | 3.86945i | 0.153091 | − | 0.137843i | ||||
\(789\) | −1.21483 | + | 11.5583i | −0.0432490 | + | 0.411487i | ||||
\(790\) | −0.224063 | + | 0.689594i | −0.00797179 | + | 0.0245347i | ||||
\(791\) | −1.65822 | − | 0.538789i | −0.0589596 | − | 0.0191571i | ||||
\(792\) | 2.04227 | − | 19.4309i | 0.0725690 | − | 0.690448i | ||||
\(793\) | 25.8091 | − | 26.4492i | 0.916506 | − | 0.939239i | ||||
\(794\) | −19.4469 | + | 21.5980i | −0.690146 | + | 0.766485i | ||||
\(795\) | −11.2670 | + | 1.18421i | −0.399601 | + | 0.0419997i | ||||
\(796\) | −2.85383 | − | 0.606601i | −0.101151 | − | 0.0215004i | ||||
\(797\) | 21.0723 | − | 9.38201i | 0.746421 | − | 0.332328i | 0.00196356 | − | 0.999998i | \(-0.499375\pi\) |
0.744457 | + | 0.667670i | \(0.232708\pi\) | |||||||
\(798\) | 0.840495 | − | 1.15684i | 0.0297532 | − | 0.0409518i | ||||
\(799\) | 17.4110 | − | 39.1057i | 0.615956 | − | 1.38346i | ||||
\(800\) | −12.4617 | + | 7.19479i | −0.440589 | + | 0.254374i | ||||
\(801\) | −20.2750 | − | 11.7058i | −0.716383 | − | 0.413604i | ||||
\(802\) | −16.4144 | + | 11.9258i | −0.579613 | + | 0.421113i | ||||
\(803\) | 29.9141 | − | 6.35844i | 1.05565 | − | 0.224384i | ||||
\(804\) | −6.73094 | + | 2.18701i | −0.237382 | + | 0.0771301i | ||||
\(805\) | −0.321203 | −0.0113209 | ||||||||
\(806\) | −23.5017 | + | 21.9989i | −0.827814 | + | 0.774878i | ||||
\(807\) | −27.1051 | −0.954143 | ||||||||
\(808\) | 31.6257 | − | 10.2758i | 1.11259 | − | 0.361502i | ||||
\(809\) | 1.36714 | − | 0.290596i | 0.0480662 | − | 0.0102168i | −0.183816 | − | 0.982961i | \(-0.558845\pi\) |
0.231882 | + | 0.972744i | \(0.425512\pi\) | |||||||
\(810\) | −7.37299 | + | 5.35679i | −0.259060 | + | 0.188218i | ||||
\(811\) | −33.2029 | − | 19.1697i | −1.16591 | − | 0.673139i | −0.213198 | − | 0.977009i | \(-0.568388\pi\) |
−0.952713 | + | 0.303870i | \(0.901721\pi\) | |||||||
\(812\) | −0.471625 | + | 0.272293i | −0.0165508 | + | 0.00955561i | ||||
\(813\) | −13.3161 | + | 29.9084i | −0.467015 | + | 1.04893i | ||||
\(814\) | 17.1950 | − | 23.6669i | 0.602684 | − | 0.829524i | ||||
\(815\) | 7.08508 | − | 3.15448i | 0.248180 | − | 0.110497i | ||||
\(816\) | 76.3417 | + | 16.2269i | 2.67250 | + | 0.568056i | ||||
\(817\) | 3.88507 | − | 0.408337i | 0.135921 | − | 0.0142859i | ||||
\(818\) | −11.4556 | + | 12.7228i | −0.400536 | + | 0.444841i | ||||
\(819\) | 0.780003 | + | 0.761124i | 0.0272555 | + | 0.0265958i | ||||
\(820\) | 0.394187 | − | 3.75044i | 0.0137656 | − | 0.130971i | ||||
\(821\) | −24.8093 | − | 8.06102i | −0.865849 | − | 0.281331i | −0.157780 | − | 0.987474i | \(-0.550434\pi\) |
−0.708069 | + | 0.706143i | \(0.750434\pi\) | |||||||
\(822\) | 13.3017 | − | 40.9384i | 0.463950 | − | 1.42789i | ||||
\(823\) | 3.78282 | − | 35.9912i | 0.131861 | − | 1.25457i | −0.705811 | − | 0.708400i | \(-0.749417\pi\) |
0.837672 | − | 0.546173i | \(-0.183916\pi\) | |||||||
\(824\) | −0.438055 | + | 0.394426i | −0.0152604 | + | 0.0137405i | ||||
\(825\) | 23.2742 | + | 20.9562i | 0.810302 | + | 0.729600i | ||||
\(826\) | −0.477288 | + | 0.0501650i | −0.0166070 | + | 0.00174546i | ||||
\(827\) | 8.10701 | − | 38.1405i | 0.281908 | − | 1.32627i | −0.578088 | − | 0.815975i | \(-0.696201\pi\) |
0.859996 | − | 0.510300i | \(-0.170466\pi\) | |||||||
\(828\) | −8.09153 | + | 3.60258i | −0.281200 | + | 0.125198i | ||||
\(829\) | −6.52546 | − | 4.74102i | −0.226639 | − | 0.164663i | 0.468671 | − | 0.883373i | \(-0.344733\pi\) |
−0.695310 | + | 0.718710i | \(0.744733\pi\) | |||||||
\(830\) | −5.46303 | + | 12.2702i | −0.189625 | + | 0.425904i | ||||
\(831\) | −0.946018 | − | 1.63855i | −0.0328170 | − | 0.0568407i | ||||
\(832\) | −14.8521 | − | 7.33978i | −0.514904 | − | 0.254461i | ||||
\(833\) | −37.1840 | + | 27.0158i | −1.28835 | + | 0.936041i | ||||
\(834\) | 14.6945 | + | 69.1323i | 0.508830 | + | 2.39386i | ||||
\(835\) | 3.34179 | + | 10.2850i | 0.115648 | + | 0.355927i | ||||
\(836\) | −5.83379 | −0.201766 | ||||||||
\(837\) | −0.980398 | + | 0.270165i | −0.0338875 | + | 0.00933827i | ||||
\(838\) | − | 31.7594i | − | 1.09711i | ||||||
\(839\) | 0.172745 | − | 0.0561283i | 0.00596383 | − | 0.00193777i | −0.306034 | − | 0.952021i | \(-0.599002\pi\) |
0.311997 | + | 0.950083i | \(0.399002\pi\) | |||||||
\(840\) | 0.0747769 | + | 0.351798i | 0.00258005 | + | 0.0121382i | ||||
\(841\) | −52.5439 | + | 38.1754i | −1.81186 | + | 1.31639i | ||||
\(842\) | 17.0996 | − | 29.6174i | 0.589293 | − | 1.02068i | ||||
\(843\) | −2.52370 | + | 1.45706i | −0.0869209 | + | 0.0501838i | ||||
\(844\) | −2.45507 | − | 1.09307i | −0.0845071 | − | 0.0376250i | ||||
\(845\) | −4.03125 | + | 7.39497i | −0.138679 | + | 0.254395i | ||||
\(846\) | 29.3187 | − | 13.0535i | 1.00800 | − | 0.448790i | ||||
\(847\) | 0.0675168 | − | 0.317642i | 0.00231991 | − | 0.0109143i | ||||
\(848\) | −3.57201 | − | 33.9854i | −0.122663 | − | 1.16706i | ||||
\(849\) | −17.9913 | + | 19.9813i | −0.617459 | + | 0.685757i | ||||
\(850\) | −35.8881 | + | 32.3138i | −1.23095 | + | 1.10835i | ||||
\(851\) | 32.9735 | + | 3.46565i | 1.13032 | + | 0.118801i | ||||
\(852\) | −7.49014 | − | 2.43369i | −0.256608 | − | 0.0833770i | ||||
\(853\) | 47.1855 | + | 15.3315i | 1.61560 | + | 0.524941i | 0.970898 | − | 0.239492i | \(-0.0769810\pi\) |
0.644703 | + | 0.764433i | \(0.276981\pi\) | |||||||
\(854\) | 0.168922 | − | 1.60719i | 0.00578041 | − | 0.0549969i | ||||
\(855\) | 4.90394 | + | 5.44638i | 0.167711 | + | 0.186262i | ||||
\(856\) | 8.55191 | + | 7.70017i | 0.292298 | + | 0.263186i | ||||
\(857\) | −3.40306 | − | 32.3779i | −0.116246 | − | 1.10601i | −0.884719 | − | 0.466125i | \(-0.845650\pi\) |
0.768473 | − | 0.639883i | \(-0.221017\pi\) | |||||||
\(858\) | 5.70571 | − | 39.1200i | 0.194790 | − | 1.33553i | ||||
\(859\) | −45.3351 | + | 20.1845i | −1.54682 | + | 0.688686i | −0.989885 | − | 0.141873i | \(-0.954688\pi\) |
−0.556930 | + | 0.830559i | \(0.688021\pi\) | |||||||
\(860\) | 0.231009 | − | 0.317957i | 0.00787735 | − | 0.0108422i | ||||
\(861\) | 2.25504 | + | 1.00401i | 0.0768516 | + | 0.0342165i | ||||
\(862\) | 17.1038 | + | 29.6246i | 0.582558 | + | 1.00902i | ||||
\(863\) | 7.46123 | + | 4.30774i | 0.253983 | + | 0.146637i | 0.621587 | − | 0.783345i | \(-0.286488\pi\) |
−0.367604 | + | 0.929983i | \(0.619822\pi\) | |||||||
\(864\) | 0.337281 | + | 0.464228i | 0.0114745 | + | 0.0157934i | ||||
\(865\) | −0.763661 | − | 3.59274i | −0.0259653 | − | 0.122157i | ||||
\(866\) | 35.9955 | − | 11.6957i | 1.22318 | − | 0.397435i | ||||
\(867\) | 64.6497 | 2.19562 | ||||||||
\(868\) | −0.0467440 | + | 0.309315i | −0.00158659 | + | 0.0104988i | ||||
\(869\) | 1.93632i | 0.0656853i | ||||||||
\(870\) | −7.66912 | − | 23.6031i | −0.260008 | − | 0.800221i | ||||
\(871\) | 17.4432 | − | 4.90365i | 0.591039 | − | 0.166154i | ||||
\(872\) | −0.401035 | + | 0.291369i | −0.0135808 | + | 0.00986700i | ||||
\(873\) | −24.7869 | − | 14.3107i | −0.838909 | − | 0.484344i | ||||
\(874\) | −14.8766 | − | 25.7670i | −0.503208 | − | 0.871582i | ||||
\(875\) | −0.557525 | − | 0.248226i | −0.0188478 | − | 0.00839157i | ||||
\(876\) | −9.12473 | + | 12.5591i | −0.308296 | + | 0.424333i | ||||
\(877\) | −23.3586 | − | 52.4644i | −0.788765 | − | 1.77160i | −0.617828 | − | 0.786313i | \(-0.711987\pi\) |
−0.170937 | − | 0.985282i | \(-0.554680\pi\) | |||||||
\(878\) | −9.99110 | + | 47.0044i | −0.337183 | + | 1.58632i | ||||
\(879\) | −43.9669 | + | 4.62111i | −1.48297 | + | 0.155866i | ||||
\(880\) | 5.79279 | − | 6.43354i | 0.195275 | − | 0.216875i | ||||
\(881\) | −16.5219 | − | 18.3494i | −0.556636 | − | 0.618207i | 0.397492 | − | 0.917606i | \(-0.369881\pi\) |
−0.954128 | + | 0.299399i | \(0.903214\pi\) | |||||||
\(882\) | −34.2703 | − | 3.60196i | −1.15394 | − | 0.121284i | ||||
\(883\) | −1.68778 | + | 5.19444i | −0.0567982 | + | 0.174807i | −0.975431 | − | 0.220306i | \(-0.929294\pi\) |
0.918633 | + | 0.395113i | \(0.129294\pi\) | |||||||
\(884\) | 13.1270 | + | 3.34558i | 0.441508 | + | 0.112524i | ||||
\(885\) | 0.508021 | − | 4.83350i | 0.0170769 | − | 0.162476i | ||||
\(886\) | −1.13335 | + | 1.02047i | −0.0380755 | + | 0.0342833i | ||||
\(887\) | −0.308735 | + | 0.342885i | −0.0103663 | + | 0.0115130i | −0.748306 | − | 0.663354i | \(-0.769132\pi\) |
0.737939 | + | 0.674867i | \(0.235799\pi\) | |||||||
\(888\) | −3.88055 | − | 36.9210i | −0.130223 | − | 1.23899i | ||||
\(889\) | 0.314529 | − | 1.47974i | 0.0105490 | − | 0.0496290i | ||||
\(890\) | −3.21813 | − | 7.22803i | −0.107872 | − | 0.242284i | ||||
\(891\) | −14.3053 | + | 19.6895i | −0.479244 | + | 0.659623i | ||||
\(892\) | 4.59134 | − | 10.3123i | 0.153729 | − | 0.345282i | ||||
\(893\) | 11.9785 | + | 20.7474i | 0.400845 | + | 0.694284i | ||||
\(894\) | −14.1609 | + | 24.5274i | −0.473611 | + | 0.820318i | ||||
\(895\) | −0.553269 | − | 0.761509i | −0.0184937 | − | 0.0254545i | ||||
\(896\) | −1.31294 | + | 0.279074i | −0.0438623 | + | 0.00932322i | ||||
\(897\) | 41.6302 | − | 16.5682i | 1.38999 | − | 0.553196i | ||||
\(898\) | 42.7560 | 1.42679 | ||||||||
\(899\) | −2.44204 | + | 53.9112i | −0.0814466 | + | 1.79804i | ||||
\(900\) | −8.04576 | −0.268192 | ||||||||
\(901\) | −14.4160 | − | 44.3680i | −0.480267 | − | 1.47811i | ||||
\(902\) | −9.42221 | − | 44.3280i | −0.313725 | − | 1.47596i | ||||
\(903\) | 0.151212 | + | 0.208126i | 0.00503202 | + | 0.00692598i | ||||
\(904\) | 35.1797 | + | 20.3110i | 1.17006 | + | 0.675534i | ||||
\(905\) | −10.5693 | + | 6.10217i | −0.351334 | + | 0.202843i | ||||
\(906\) | −21.9667 | − | 9.78020i | −0.729794 | − | 0.324925i | ||||
\(907\) | −27.8266 | − | 20.2172i | −0.923967 | − | 0.671302i | 0.0205410 | − | 0.999789i | \(-0.493461\pi\) |
−0.944508 | + | 0.328487i | \(0.893461\pi\) | |||||||
\(908\) | −5.96112 | − | 13.3889i | −0.197827 | − | 0.444326i | ||||
\(909\) | 43.6483 | + | 9.27773i | 1.44772 | + | 0.307723i | ||||
\(910\) | 0.0620682 | + | 0.363044i | 0.00205754 | + | 0.0120348i | ||||
\(911\) | 22.5384 | − | 25.0314i | 0.746729 | − | 0.829327i | −0.243335 | − | 0.969942i | \(-0.578241\pi\) |
0.990064 | + | 0.140615i | \(0.0449081\pi\) | |||||||
\(912\) | −32.4604 | + | 29.2274i | −1.07487 | + | 0.967817i | ||||
\(913\) | −3.74926 | + | 35.6719i | −0.124083 | + | 1.18057i | ||||
\(914\) | 11.9994 | − | 36.9303i | 0.396904 | − | 1.22154i | ||||
\(915\) | 15.5647 | + | 5.05727i | 0.514552 | + | 0.167188i | ||||
\(916\) | 4.69754 | + | 0.493732i | 0.155211 | + | 0.0163133i | ||||
\(917\) | −0.557219 | + | 0.501722i | −0.0184010 | + | 0.0165683i | ||||
\(918\) | 1.43112 | + | 1.28859i | 0.0472340 | + | 0.0425297i | ||||
\(919\) | −0.969482 | − | 9.22401i | −0.0319803 | − | 0.304272i | −0.998807 | − | 0.0488378i | \(-0.984448\pi\) |
0.966826 | − | 0.255434i | \(-0.0822184\pi\) | |||||||
\(920\) | 7.31998 | + | 1.55591i | 0.241332 | + | 0.0512968i | ||||
\(921\) | −4.85254 | − | 10.8990i | −0.159897 | − | 0.359134i | ||||
\(922\) | 41.2066 | + | 29.9383i | 1.35707 | + | 0.985966i | ||||
\(923\) | 18.9109 | + | 6.99468i | 0.622461 | + | 0.230233i | ||||
\(924\) | −0.192090 | − | 0.332709i | −0.00631928 | − | 0.0109453i | ||||
\(925\) | 26.0824 | + | 15.0587i | 0.857584 | + | 0.495126i | ||||
\(926\) | −5.58070 | + | 4.05462i | −0.183393 | + | 0.133243i | ||||
\(927\) | −0.773728 | + | 0.164461i | −0.0254126 | + | 0.00540161i | ||||
\(928\) | 28.9606 | − | 9.40988i | 0.950680 | − | 0.308895i | ||||
\(929\) | − | 18.7585i | − | 0.615448i | −0.951476 | − | 0.307724i | \(-0.900433\pi\) | ||
0.951476 | − | 0.307724i | \(-0.0995673\pi\) | |||||||
\(930\) | −13.3451 | − | 5.01439i | −0.437604 | − | 0.164428i | ||||
\(931\) | − | 25.7230i | − | 0.843036i | ||||||
\(932\) | 0.687042 | + | 2.11450i | 0.0225048 | + | 0.0692627i | ||||
\(933\) | 40.9121 | − | 8.69613i | 1.33940 | − | 0.284698i | ||||
\(934\) | −8.63803 | − | 11.8892i | −0.282645 | − | 0.389028i | ||||
\(935\) | 5.90924 | − | 10.2351i | 0.193253 | − | 0.334724i | ||||
\(936\) | −14.0888 | − | 21.1238i | −0.460506 | − | 0.690452i | ||||
\(937\) | 48.5794 | + | 21.6289i | 1.58702 | + | 0.706586i | 0.995050 | − | 0.0993741i | \(-0.0316841\pi\) |
0.591969 | + | 0.805961i | \(0.298351\pi\) | |||||||
\(938\) | 0.465737 | − | 0.641032i | 0.0152068 | − | 0.0209304i | ||||
\(939\) | 4.07277 | − | 1.81331i | 0.132910 | − | 0.0591753i | ||||
\(940\) | 2.35756 | + | 0.501115i | 0.0768952 | + | 0.0163446i | ||||
\(941\) | −44.4499 | + | 4.67187i | −1.44903 | + | 0.152299i | −0.796119 | − | 0.605140i | \(-0.793117\pi\) |
−0.652907 | + | 0.757438i | \(0.726451\pi\) | |||||||
\(942\) | 33.4459 | + | 30.1148i | 1.08973 | + | 0.981194i | ||||
\(943\) | 38.1693 | − | 34.3678i | 1.24296 | − | 1.11917i | ||||
\(944\) | 14.5796 | + | 1.53237i | 0.474524 | + | 0.0498745i | ||||
\(945\) | −0.00359546 | + | 0.0110657i | −0.000116960 | + | 0.000359967i | ||||
\(946\) | 1.45949 | − | 4.49184i | 0.0474520 | − | 0.146042i | ||||
\(947\) | −53.8859 | − | 5.66363i | −1.75106 | − | 0.184043i | −0.825947 | − | 0.563747i | \(-0.809359\pi\) |
−0.925108 | + | 0.379704i | \(0.876026\pi\) | |||||||
\(948\) | −0.657686 | − | 0.730435i | −0.0213607 | − | 0.0237234i | ||||
\(949\) | 24.6316 | − | 31.1911i | 0.799576 | − | 1.01251i | ||||
\(950\) | −2.82510 | − | 26.8791i | −0.0916585 | − | 0.872072i | ||||
\(951\) | −12.8700 | + | 60.5487i | −0.417339 | + | 1.96343i | ||||
\(952\) | −1.35296 | + | 0.602379i | −0.0438498 | + | 0.0195232i | ||||
\(953\) | −30.9089 | − | 22.4566i | −1.00124 | − | 0.727441i | −0.0388839 | − | 0.999244i | \(-0.512380\pi\) |
−0.962353 | + | 0.271802i | \(0.912380\pi\) | |||||||
\(954\) | 14.2260 | − | 31.9520i | 0.460583 | − | 1.03449i | ||||
\(955\) | 8.10511 | − | 4.67949i | 0.262275 | − | 0.151425i | ||||
\(956\) | 4.94848 | + | 2.85701i | 0.160045 | + | 0.0924023i | ||||
\(957\) | −38.9559 | − | 53.6182i | −1.25926 | − | 1.73323i | ||||
\(958\) | 65.5399 | − | 13.9309i | 2.11750 | − | 0.450088i | ||||
\(959\) | 0.330936 | + | 1.01852i | 0.0106865 | + | 0.0328896i | ||||
\(960\) | − | 7.33667i | − | 0.236790i | ||||||
\(961\) | 23.3294 | + | 20.4141i | 0.752563 | + | 0.658521i | ||||
\(962\) | −2.45458 | − | 37.9383i | −0.0791389 | − | 1.22318i | ||||
\(963\) | 4.77200 | + | 14.6867i | 0.153776 | + | 0.473273i | ||||
\(964\) | 2.78069 | + | 13.0821i | 0.0895601 | + | 0.421347i | ||||
\(965\) | 10.9718 | − | 7.97151i | 0.353196 | − | 0.256612i | ||||
\(966\) | 0.979685 | − | 1.69686i | 0.0315208 | − | 0.0545957i | ||||
\(967\) | −19.3154 | + | 11.1517i | −0.621140 | + | 0.358615i | −0.777313 | − | 0.629114i | \(-0.783418\pi\) |
0.156173 | + | 0.987730i | \(0.450084\pi\) | |||||||
\(968\) | −3.07731 | + | 6.91176i | −0.0989086 | + | 0.222152i | ||||
\(969\) | −35.0497 | + | 48.2417i | −1.12596 | + | 1.54975i | ||||
\(970\) | −3.93427 | − | 8.83650i | −0.126322 | − | 0.283723i | ||||
\(971\) | −44.5030 | − | 9.45940i | −1.42817 | − | 0.303567i | −0.571996 | − | 0.820257i | \(-0.693831\pi\) |
−0.856173 | + | 0.516690i | \(0.827164\pi\) | |||||||
\(972\) | −1.32407 | − | 12.5977i | −0.0424696 | − | 0.404071i | ||||
\(973\) | −1.30673 | − | 1.17659i | −0.0418920 | − | 0.0377197i | ||||
\(974\) | −28.3960 | − | 31.5369i | −0.909865 | − | 1.01051i | ||||
\(975\) | 40.6681 | + | 1.63210i | 1.30242 | + | 0.0522689i | ||||
\(976\) | −15.2545 | + | 46.9486i | −0.488286 | + | 1.50279i | ||||
\(977\) | 15.0487 | + | 4.88961i | 0.481449 | + | 0.156432i | 0.539679 | − | 0.841871i | \(-0.318546\pi\) |
−0.0582297 | + | 0.998303i | \(0.518546\pi\) | |||||||
\(978\) | −4.94522 | + | 47.0506i | −0.158131 | + | 1.50451i | ||||
\(979\) | −14.1381 | − | 15.7020i | −0.451856 | − | 0.501837i | ||||
\(980\) | −1.92318 | − | 1.73164i | −0.0614339 | − | 0.0553153i | ||||
\(981\) | −0.661558 | + | 0.0695325i | −0.0211219 | + | 0.00222000i | ||||
\(982\) | −2.98575 | + | 14.0469i | −0.0952792 | + | 0.448253i | ||||
\(983\) | 10.4099 | + | 23.3809i | 0.332023 | + | 0.745735i | 0.999999 | + | 0.00155249i | \(0.000494173\pi\) |
−0.667976 | + | 0.744183i | \(0.732839\pi\) | |||||||
\(984\) | −46.5272 | − | 33.8040i | −1.48323 | − | 1.07763i | ||||
\(985\) | −5.98966 | − | 2.66677i | −0.190846 | − | 0.0849703i | ||||
\(986\) | 88.5037 | − | 51.0977i | 2.81853 | − | 1.62728i | ||||
\(987\) | −0.788834 | + | 1.36630i | −0.0251088 | + | 0.0434898i | ||||
\(988\) | −5.83302 | + | 4.84298i | −0.185573 | + | 0.154076i | ||||
\(989\) | 5.23587 | − | 1.11292i | 0.166491 | − | 0.0353888i | ||||
\(990\) | 8.42701 | − | 2.73810i | 0.267828 | − | 0.0870226i | ||||
\(991\) | −13.5313 | −0.429835 | −0.214918 | − | 0.976632i | \(-0.568948\pi\) | ||||
−0.214918 | + | 0.976632i | \(0.568948\pi\) | |||||||
\(992\) | 6.15258 | − | 16.3742i | 0.195345 | − | 0.519883i | ||||
\(993\) | 41.0755i | 1.30349i | ||||||||
\(994\) | 0.838577 | − | 0.272470i | 0.0265980 | − | 0.00864223i | ||||
\(995\) | 0.687760 | + | 3.23565i | 0.0218034 | + | 0.102577i | ||||
\(996\) | −10.7019 | − | 14.7299i | −0.339102 | − | 0.466734i | ||||
\(997\) | 21.0633 | − | 36.4827i | 0.667081 | − | 1.15542i | −0.311636 | − | 0.950201i | \(-0.600877\pi\) |
0.978717 | − | 0.205216i | \(-0.0657896\pi\) | |||||||
\(998\) | −8.67540 | − | 15.0262i | −0.274615 | − | 0.475647i | ||||
\(999\) | 0.488490 | − | 1.09717i | 0.0154551 | − | 0.0347128i |
(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 | 403.2.bz.a.38.10 | ✓ | 288 | |
13.12 | even | 2 | inner | 403.2.bz.a.38.27 | yes | 288 | |
31.9 | even | 15 | inner | 403.2.bz.a.350.27 | yes | 288 | |
403.350 | even | 30 | inner | 403.2.bz.a.350.10 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bz.a.38.10 | ✓ | 288 | 1.1 | even | 1 | trivial | |
403.2.bz.a.38.27 | yes | 288 | 13.12 | even | 2 | inner | |
403.2.bz.a.350.10 | yes | 288 | 403.350 | even | 30 | inner | |
403.2.bz.a.350.27 | yes | 288 | 31.9 | even | 15 | inner |