Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.10 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.14354 | + | 0.832059i | −0.808603 | + | 0.588355i | ||||
\(3\) | 0.897985 | − | 1.48109i | 0.518452 | − | 0.855107i | ||||
\(4\) | 0.615355 | − | 1.90298i | 0.307678 | − | 0.951491i | ||||
\(5\) | −0.289571 | − | 2.19951i | −0.129500 | − | 0.983652i | −0.925604 | − | 0.378492i | \(-0.876443\pi\) |
0.796104 | − | 0.605160i | \(-0.206891\pi\) | |||||||
\(6\) | 0.205474 | + | 2.44086i | 0.0838846 | + | 0.996475i | ||||
\(7\) | −0.477791 | − | 1.78314i | −0.180588 | − | 0.673963i | −0.995532 | − | 0.0944237i | \(-0.969899\pi\) |
0.814944 | − | 0.579539i | \(-0.196768\pi\) | |||||||
\(8\) | 0.879712 | + | 2.68814i | 0.311025 | + | 0.950402i | ||||
\(9\) | −1.38725 | − | 2.65999i | −0.462416 | − | 0.886663i | ||||
\(10\) | 2.16126 | + | 2.27428i | 0.683451 | + | 0.719192i | ||||
\(11\) | −2.94008 | + | 2.25601i | −0.886469 | + | 0.680211i | −0.948129 | − | 0.317886i | \(-0.897027\pi\) |
0.0616602 | + | 0.998097i | \(0.480360\pi\) | |||||||
\(12\) | −2.26590 | − | 2.62024i | −0.654110 | − | 0.756399i | ||||
\(13\) | 0.112334 | − | 0.146396i | 0.0311558 | − | 0.0406030i | −0.777516 | − | 0.628864i | \(-0.783520\pi\) |
0.808671 | + | 0.588261i | \(0.200187\pi\) | |||||||
\(14\) | 2.03005 | + | 1.64154i | 0.542553 | + | 0.438719i | ||||
\(15\) | −3.51770 | − | 1.54625i | −0.908267 | − | 0.399240i | ||||
\(16\) | −3.24268 | − | 2.34202i | −0.810669 | − | 0.585505i | ||||
\(17\) | −5.58260 | −1.35398 | −0.676989 | − | 0.735993i | \(-0.736716\pi\) | ||||
−0.676989 | + | 0.735993i | \(0.736716\pi\) | |||||||
\(18\) | 3.79964 | + | 1.88753i | 0.895583 | + | 0.444894i | ||||
\(19\) | 0.748304 | − | 0.309958i | 0.171673 | − | 0.0711092i | −0.295192 | − | 0.955438i | \(-0.595384\pi\) |
0.466865 | + | 0.884329i | \(0.345384\pi\) | |||||||
\(20\) | −4.36382 | − | 0.802432i | −0.975780 | − | 0.179429i | ||||
\(21\) | −3.07004 | − | 0.893581i | −0.669937 | − | 0.194995i | ||||
\(22\) | 1.48497 | − | 5.02615i | 0.316596 | − | 1.07158i | ||||
\(23\) | 6.50671 | + | 1.74347i | 1.35674 | + | 0.363538i | 0.862619 | − | 0.505854i | \(-0.168823\pi\) |
0.494123 | + | 0.869392i | \(0.335489\pi\) | |||||||
\(24\) | 4.77134 | + | 1.11098i | 0.973947 | + | 0.226778i | ||||
\(25\) | 0.0756229 | − | 0.0202631i | 0.0151246 | − | 0.00405262i | ||||
\(26\) | −0.00664754 | + | 0.260878i | −0.00130369 | + | 0.0511624i | ||||
\(27\) | −5.18541 | − | 0.333995i | −0.997932 | − | 0.0642773i | ||||
\(28\) | −3.68729 | − | 0.188037i | −0.696832 | − | 0.0355356i | ||||
\(29\) | −2.28003 | − | 0.300172i | −0.423392 | − | 0.0557406i | −0.0841799 | − | 0.996451i | \(-0.526827\pi\) |
−0.339212 | + | 0.940710i | \(0.610160\pi\) | |||||||
\(30\) | 5.30920 | − | 1.15875i | 0.969322 | − | 0.211557i | ||||
\(31\) | 4.48042 | − | 2.58677i | 0.804707 | − | 0.464598i | −0.0404073 | − | 0.999183i | \(-0.512866\pi\) |
0.845114 | + | 0.534585i | \(0.179532\pi\) | |||||||
\(32\) | 5.65682 | − | 0.0199135i | 0.999994 | − | 0.00352025i | ||||
\(33\) | 0.701194 | + | 6.38038i | 0.122062 | + | 1.11068i | ||||
\(34\) | 6.38391 | − | 4.64505i | 1.09483 | − | 0.796620i | ||||
\(35\) | −3.78368 | + | 1.56725i | −0.639559 | + | 0.264914i | ||||
\(36\) | −5.91556 | + | 1.00307i | −0.985927 | + | 0.167178i | ||||
\(37\) | 3.61484 | − | 8.72698i | 0.594275 | − | 1.43471i | −0.285063 | − | 0.958509i | \(-0.592014\pi\) |
0.879338 | − | 0.476198i | \(-0.157986\pi\) | |||||||
\(38\) | −0.597810 | + | 0.977081i | −0.0969776 | + | 0.158504i | ||||
\(39\) | −0.115952 | − | 0.297838i | −0.0185672 | − | 0.0476923i | ||||
\(40\) | 5.65786 | − | 2.71335i | 0.894587 | − | 0.429018i | ||||
\(41\) | 2.79033 | − | 10.4137i | 0.435777 | − | 1.62634i | −0.303424 | − | 0.952856i | \(-0.598130\pi\) |
0.739201 | − | 0.673485i | \(-0.235203\pi\) | |||||||
\(42\) | 4.25421 | − | 1.53261i | 0.656439 | − | 0.236486i | ||||
\(43\) | 1.12512 | + | 1.46629i | 0.171580 | + | 0.223607i | 0.871226 | − | 0.490883i | \(-0.163326\pi\) |
−0.699646 | + | 0.714490i | \(0.746659\pi\) | |||||||
\(44\) | 2.48394 | + | 6.98317i | 0.374468 | + | 1.05275i | ||||
\(45\) | −5.44898 | + | 3.82152i | −0.812285 | + | 0.569679i | ||||
\(46\) | −8.89133 | + | 3.42025i | −1.31096 | + | 0.504288i | ||||
\(47\) | 7.82386 | + | 4.51711i | 1.14123 | + | 0.658887i | 0.946734 | − | 0.322017i | \(-0.104361\pi\) |
0.194493 | + | 0.980904i | \(0.437694\pi\) | |||||||
\(48\) | −6.38061 | + | 2.69959i | −0.920962 | + | 0.389653i | ||||
\(49\) | 3.11088 | − | 1.79607i | 0.444411 | − | 0.256581i | ||||
\(50\) | −0.0696175 | + | 0.0860944i | −0.00984541 | + | 0.0121756i | ||||
\(51\) | −5.01309 | + | 8.26832i | −0.701973 | + | 1.15780i | ||||
\(52\) | −0.209464 | − | 0.303855i | −0.0290475 | − | 0.0421371i | ||||
\(53\) | 2.44268 | − | 5.89716i | 0.335529 | − | 0.810038i | −0.662605 | − | 0.748969i | \(-0.730549\pi\) |
0.998134 | − | 0.0610686i | \(-0.0194508\pi\) | |||||||
\(54\) | 6.20761 | − | 3.93263i | 0.844749 | − | 0.535163i | ||||
\(55\) | 5.81348 | + | 5.81348i | 0.783889 | + | 0.783889i | ||||
\(56\) | 4.37301 | − | 2.85302i | 0.584368 | − | 0.381250i | ||||
\(57\) | 0.212891 | − | 1.38664i | 0.0281981 | − | 0.183665i | ||||
\(58\) | 2.85707 | − | 1.55387i | 0.375151 | − | 0.204033i | ||||
\(59\) | −6.80223 | + | 0.895530i | −0.885574 | + | 0.116588i | −0.559573 | − | 0.828781i | \(-0.689035\pi\) |
−0.326002 | + | 0.945369i | \(0.605701\pi\) | |||||||
\(60\) | −5.10712 | + | 5.74263i | −0.659326 | + | 0.741371i | ||||
\(61\) | −0.733704 | + | 5.57303i | −0.0939411 | + | 0.713554i | 0.878056 | + | 0.478559i | \(0.158841\pi\) |
−0.971997 | + | 0.234995i | \(0.924493\pi\) | |||||||
\(62\) | −2.97118 | + | 6.68604i | −0.377340 | + | 0.849128i | ||||
\(63\) | −4.08032 | + | 3.74457i | −0.514072 | + | 0.471772i | ||||
\(64\) | −6.45221 | + | 4.72958i | −0.806527 | + | 0.591198i | ||||
\(65\) | −0.354529 | − | 0.204688i | −0.0439740 | − | 0.0253884i | ||||
\(66\) | −6.11070 | − | 6.71277i | −0.752175 | − | 0.826285i | ||||
\(67\) | −1.84680 | + | 2.40680i | −0.225623 | + | 0.294038i | −0.892424 | − | 0.451199i | \(-0.850997\pi\) |
0.666801 | + | 0.745236i | \(0.267663\pi\) | |||||||
\(68\) | −3.43528 | + | 10.6236i | −0.416589 | + | 1.28830i | ||||
\(69\) | 8.42515 | − | 8.07140i | 1.01427 | − | 0.971683i | ||||
\(70\) | 3.02274 | − | 4.94046i | 0.361286 | − | 0.590498i | ||||
\(71\) | 0.892619 | + | 0.892619i | 0.105934 | + | 0.105934i | 0.758087 | − | 0.652153i | \(-0.226134\pi\) |
−0.652153 | + | 0.758087i | \(0.726134\pi\) | |||||||
\(72\) | 5.93005 | − | 6.06914i | 0.698863 | − | 0.715255i | ||||
\(73\) | −9.47565 | + | 9.47565i | −1.10904 | + | 1.10904i | −0.115764 | + | 0.993277i | \(0.536932\pi\) |
−0.993277 | + | 0.115764i | \(0.963068\pi\) | |||||||
\(74\) | 3.12767 | + | 12.9874i | 0.363584 | + | 1.50975i | ||||
\(75\) | 0.0378968 | − | 0.130200i | 0.00437594 | − | 0.0150342i | ||||
\(76\) | −0.129371 | − | 1.61474i | −0.0148399 | − | 0.185224i | ||||
\(77\) | 5.42752 | + | 4.16468i | 0.618523 | + | 0.474609i | ||||
\(78\) | 0.380414 | + | 0.244110i | 0.0430734 | + | 0.0276400i | ||||
\(79\) | −1.75734 | + | 3.04381i | −0.197716 | + | 0.342455i | −0.947788 | − | 0.318902i | \(-0.896686\pi\) |
0.750071 | + | 0.661357i | \(0.230019\pi\) | |||||||
\(80\) | −4.21231 | + | 7.81049i | −0.470951 | + | 0.873239i | ||||
\(81\) | −5.15109 | + | 7.38013i | −0.572344 | + | 0.820014i | ||||
\(82\) | 5.47393 | + | 14.2301i | 0.604495 | + | 1.57145i | ||||
\(83\) | −7.08133 | − | 0.932274i | −0.777277 | − | 0.102330i | −0.268558 | − | 0.963263i | \(-0.586547\pi\) |
−0.508718 | + | 0.860933i | \(0.669881\pi\) | |||||||
\(84\) | −3.58963 | + | 5.29235i | −0.391661 | + | 0.577443i | ||||
\(85\) | 1.61656 | + | 12.2790i | 0.175341 | + | 1.33184i | ||||
\(86\) | −2.50666 | − | 0.740587i | −0.270300 | − | 0.0798595i | ||||
\(87\) | −2.49202 | + | 3.10738i | −0.267172 | + | 0.333146i | ||||
\(88\) | −8.65089 | − | 5.91873i | −0.922188 | − | 0.630939i | ||||
\(89\) | 11.4972 | − | 11.4972i | 1.21870 | − | 1.21870i | 0.250613 | − | 0.968087i | \(-0.419368\pi\) |
0.968087 | − | 0.250613i | \(-0.0806323\pi\) | |||||||
\(90\) | 3.05137 | − | 8.90393i | 0.321643 | − | 0.938556i | ||||
\(91\) | −0.314717 | − | 0.130360i | −0.0329913 | − | 0.0136655i | ||||
\(92\) | 7.32172 | − | 11.3093i | 0.763342 | − | 1.17908i | ||||
\(93\) | 0.192111 | − | 8.95878i | 0.0199209 | − | 0.928982i | ||||
\(94\) | −12.7054 | + | 1.34443i | −1.31046 | + | 0.138668i | ||||
\(95\) | −0.898443 | − | 1.55615i | −0.0921783 | − | 0.159658i | ||||
\(96\) | 5.05024 | − | 8.39613i | 0.515438 | − | 0.856927i | ||||
\(97\) | −0.782440 | + | 1.35523i | −0.0794448 | + | 0.137602i | −0.903011 | − | 0.429618i | \(-0.858648\pi\) |
0.823566 | + | 0.567221i | \(0.191981\pi\) | |||||||
\(98\) | −2.06297 | + | 4.64230i | −0.208392 | + | 0.468943i | ||||
\(99\) | 10.0796 | + | 4.69096i | 1.01304 | + | 0.471459i | ||||
\(100\) | 0.00797464 | − | 0.156378i | 0.000797464 | − | 0.0156378i | ||||
\(101\) | 8.22882 | − | 6.31419i | 0.818798 | − | 0.628286i | −0.112046 | − | 0.993703i | \(-0.535740\pi\) |
0.930844 | + | 0.365417i | \(0.119074\pi\) | |||||||
\(102\) | −1.14708 | − | 13.6263i | −0.113578 | − | 1.34921i | ||||
\(103\) | 13.5752 | + | 3.63748i | 1.33761 | + | 0.358411i | 0.855547 | − | 0.517726i | \(-0.173221\pi\) |
0.482062 | + | 0.876137i | \(0.339888\pi\) | |||||||
\(104\) | 0.492356 | + | 0.173183i | 0.0482794 | + | 0.0169820i | ||||
\(105\) | −1.07645 | + | 7.01134i | −0.105051 | + | 0.684237i | ||||
\(106\) | 2.11349 | + | 8.77608i | 0.205280 | + | 0.852409i | ||||
\(107\) | 14.1196 | + | 5.84852i | 1.36499 | + | 0.565397i | 0.940425 | − | 0.340000i | \(-0.110427\pi\) |
0.424565 | + | 0.905398i | \(0.360427\pi\) | |||||||
\(108\) | −3.82645 | + | 9.66221i | −0.368201 | + | 0.929746i | ||||
\(109\) | −4.99001 | − | 12.0470i | −0.477956 | − | 1.15389i | −0.960566 | − | 0.278053i | \(-0.910311\pi\) |
0.482609 | − | 0.875836i | \(-0.339689\pi\) | |||||||
\(110\) | −11.4851 | − | 1.81077i | −1.09506 | − | 0.172650i | ||||
\(111\) | −9.67937 | − | 13.1906i | −0.918725 | − | 1.25200i | ||||
\(112\) | −2.62682 | + | 6.90114i | −0.248211 | + | 0.652096i | ||||
\(113\) | 4.47909 | + | 7.75802i | 0.421358 | + | 0.729813i | 0.996073 | − | 0.0885407i | \(-0.0282203\pi\) |
−0.574715 | + | 0.818354i | \(0.694887\pi\) | |||||||
\(114\) | 0.910319 | + | 1.76281i | 0.0852592 | + | 0.165103i | ||||
\(115\) | 1.95062 | − | 14.8164i | 0.181896 | − | 1.38164i | ||||
\(116\) | −1.97425 | + | 4.15415i | −0.183305 | + | 0.385703i | ||||
\(117\) | −0.545248 | − | 0.0957191i | −0.0504082 | − | 0.00884923i | ||||
\(118\) | 7.03346 | − | 6.68393i | 0.647483 | − | 0.615305i | ||||
\(119\) | 2.66731 | + | 9.95454i | 0.244512 | + | 0.912532i | ||||
\(120\) | 1.06197 | − | 10.8163i | 0.0969440 | − | 0.987392i | ||||
\(121\) | 0.707523 | − | 2.64051i | 0.0643203 | − | 0.240047i | ||||
\(122\) | −3.79807 | − | 6.98345i | −0.343862 | − | 0.632252i | ||||
\(123\) | −12.9179 | − | 13.4840i | −1.16477 | − | 1.21581i | ||||
\(124\) | −2.16553 | − | 10.1179i | −0.194470 | − | 0.908618i | ||||
\(125\) | −4.31137 | − | 10.4086i | −0.385621 | − | 0.930970i | ||||
\(126\) | 1.55029 | − | 7.67712i | 0.138111 | − | 0.683932i | ||||
\(127\) | 15.3339i | 1.36066i | 0.732906 | + | 0.680330i | \(0.238164\pi\) | ||||
−0.732906 | + | 0.680330i | \(0.761836\pi\) | |||||||
\(128\) | 3.44306 | − | 10.7771i | 0.304326 | − | 0.952568i | ||||
\(129\) | 3.18205 | − | 0.349702i | 0.280164 | − | 0.0307895i | ||||
\(130\) | 0.575730 | − | 0.0609215i | 0.0504948 | − | 0.00534317i | ||||
\(131\) | −10.9967 | − | 8.43810i | −0.960790 | − | 0.737240i | 0.00407370 | − | 0.999992i | \(-0.498703\pi\) |
−0.964863 | + | 0.262752i | \(0.915370\pi\) | |||||||
\(132\) | 12.5732 | + | 2.59184i | 1.09436 | + | 0.225591i | ||||
\(133\) | −0.910230 | − | 1.18623i | −0.0789270 | − | 0.102860i | ||||
\(134\) | 0.109288 | − | 4.28892i | 0.00944101 | − | 0.370506i | ||||
\(135\) | 0.766920 | + | 11.5021i | 0.0660060 | + | 0.989942i | ||||
\(136\) | −4.91108 | − | 15.0068i | −0.421121 | − | 1.28682i | ||||
\(137\) | −3.48621 | + | 0.934128i | −0.297847 | + | 0.0798080i | −0.404648 | − | 0.914472i | \(-0.632606\pi\) |
0.106801 | + | 0.994280i | \(0.465939\pi\) | |||||||
\(138\) | −2.91859 | + | 16.2402i | −0.248447 | + | 1.38246i | ||||
\(139\) | 9.41408 | − | 1.23939i | 0.798492 | − | 0.105123i | 0.279771 | − | 0.960067i | \(-0.409742\pi\) |
0.518721 | + | 0.854943i | \(0.326408\pi\) | |||||||
\(140\) | 0.654145 | + | 8.16469i | 0.0552853 | + | 0.690043i | ||||
\(141\) | 13.7159 | − | 7.53153i | 1.15509 | − | 0.634269i | ||||
\(142\) | −1.76345 | − | 0.278031i | −0.147986 | − | 0.0233319i | ||||
\(143\) | 0.683844i | 0.0571859i | ||||||||
\(144\) | −1.73135 | + | 11.8744i | −0.144279 | + | 0.989537i | ||||
\(145\) | 5.10189i | 0.423689i | ||||||||
\(146\) | 2.95146 | − | 18.7201i | 0.244264 | − | 1.54928i | ||||
\(147\) | 0.133388 | − | 6.22033i | 0.0110016 | − | 0.513044i | ||||
\(148\) | −14.3829 | − | 12.2492i | −1.18227 | − | 1.00687i | ||||
\(149\) | −1.13158 | + | 0.148975i | −0.0927027 | + | 0.0122045i | −0.176735 | − | 0.984259i | \(-0.556554\pi\) |
0.0840321 | + | 0.996463i | \(0.473220\pi\) | |||||||
\(150\) | 0.0649979 | + | 0.180421i | 0.00530706 | + | 0.0147313i | ||||
\(151\) | −3.81017 | + | 1.02093i | −0.310067 | + | 0.0830822i | −0.410497 | − | 0.911862i | \(-0.634645\pi\) |
0.100430 | + | 0.994944i | \(0.467978\pi\) | |||||||
\(152\) | 1.49150 | + | 1.73887i | 0.120977 | + | 0.141041i | ||||
\(153\) | 7.74444 | + | 14.8497i | 0.626101 | + | 1.20052i | ||||
\(154\) | −9.67183 | − | 0.246452i | −0.779378 | − | 0.0198596i | ||||
\(155\) | −6.98704 | − | 9.10569i | −0.561212 | − | 0.731386i | ||||
\(156\) | −0.638132 | + | 0.0373781i | −0.0510915 | + | 0.00299264i | ||||
\(157\) | −2.08242 | − | 1.59790i | −0.166195 | − | 0.127526i | 0.522315 | − | 0.852752i | \(-0.325068\pi\) |
−0.688510 | + | 0.725226i | \(0.741735\pi\) | |||||||
\(158\) | −0.523040 | − | 4.94292i | −0.0416109 | − | 0.393237i | ||||
\(159\) | −6.54073 | − | 8.91339i | −0.518713 | − | 0.706878i | ||||
\(160\) | −1.68185 | − | 12.4365i | −0.132962 | − | 0.983190i | ||||
\(161\) | − | 12.4354i | − | 0.980045i | ||||||
\(162\) | −0.250235 | − | 12.7255i | −0.0196603 | − | 0.999807i | ||||
\(163\) | 6.37982 | + | 15.4023i | 0.499706 | + | 1.20640i | 0.949642 | + | 0.313337i | \(0.101447\pi\) |
−0.449936 | + | 0.893061i | \(0.648553\pi\) | |||||||
\(164\) | −18.1000 | − | 11.7180i | −1.41337 | − | 0.915026i | ||||
\(165\) | 13.8307 | − | 3.38986i | 1.07672 | − | 0.263900i | ||||
\(166\) | 8.87347 | − | 4.82599i | 0.688715 | − | 0.374570i | ||||
\(167\) | 5.64712 | − | 21.0753i | 0.436987 | − | 1.63086i | −0.299278 | − | 0.954166i | \(-0.596746\pi\) |
0.736265 | − | 0.676693i | \(-0.236588\pi\) | |||||||
\(168\) | −0.298673 | − | 9.03878i | −0.0230431 | − | 0.697357i | ||||
\(169\) | 3.35583 | + | 12.5241i | 0.258141 | + | 0.963396i | ||||
\(170\) | −12.0654 | − | 12.6964i | −0.925378 | − | 0.973770i | ||||
\(171\) | −1.86257 | − | 1.56049i | −0.142434 | − | 0.119334i | ||||
\(172\) | 3.48267 | − | 1.23880i | 0.265551 | − | 0.0944576i | ||||
\(173\) | −2.90841 | + | 22.0916i | −0.221122 | + | 1.67959i | 0.416419 | + | 0.909173i | \(0.363285\pi\) |
−0.637541 | + | 0.770417i | \(0.720048\pi\) | |||||||
\(174\) | 0.264189 | − | 5.62692i | 0.0200281 | − | 0.426575i | ||||
\(175\) | −0.0722639 | − | 0.125165i | −0.00546263 | − | 0.00946156i | ||||
\(176\) | 14.8173 | − | 0.429766i | 1.11690 | − | 0.0323949i | ||||
\(177\) | −4.78194 | + | 10.8789i | −0.359432 | + | 0.817706i | ||||
\(178\) | −3.58113 | + | 22.7138i | −0.268417 | + | 1.70247i | ||||
\(179\) | 3.66347 | + | 8.84440i | 0.273821 | + | 0.661061i | 0.999640 | − | 0.0268238i | \(-0.00853931\pi\) |
−0.725820 | + | 0.687885i | \(0.758539\pi\) | |||||||
\(180\) | 3.91924 | + | 12.7209i | 0.292123 | + | 0.948159i | ||||
\(181\) | −3.53582 | − | 1.46459i | −0.262816 | − | 0.108862i | 0.247385 | − | 0.968917i | \(-0.420429\pi\) |
−0.510201 | + | 0.860055i | \(0.670429\pi\) | |||||||
\(182\) | 0.468358 | − | 0.112792i | 0.0347170 | − | 0.00836067i | ||||
\(183\) | 7.59530 | + | 6.09118i | 0.561461 | + | 0.450273i | ||||
\(184\) | 1.03734 | + | 19.0247i | 0.0764737 | + | 1.40252i | ||||
\(185\) | −20.2419 | − | 5.42379i | −1.48821 | − | 0.398765i | ||||
\(186\) | 7.23455 | + | 10.4045i | 0.530463 | + | 0.762898i | ||||
\(187\) | 16.4133 | − | 12.5944i | 1.20026 | − | 0.920992i | ||||
\(188\) | 13.4104 | − | 12.1090i | 0.978055 | − | 0.883142i | ||||
\(189\) | 1.88198 | + | 9.40588i | 0.136894 | + | 0.684177i | ||||
\(190\) | 2.32221 | + | 1.03196i | 0.168471 | + | 0.0748660i | ||||
\(191\) | 2.82119 | − | 4.88645i | 0.204134 | − | 0.353571i | −0.745722 | − | 0.666257i | \(-0.767895\pi\) |
0.949857 | + | 0.312686i | \(0.101229\pi\) | |||||||
\(192\) | 1.21094 | + | 13.8034i | 0.0873919 | + | 0.996174i | ||||
\(193\) | 10.3113 | + | 17.8596i | 0.742220 | + | 1.28556i | 0.951482 | + | 0.307703i | \(0.0995604\pi\) |
−0.209262 | + | 0.977860i | \(0.567106\pi\) | |||||||
\(194\) | −0.232879 | − | 2.20079i | −0.0167197 | − | 0.158007i | ||||
\(195\) | −0.621523 | + | 0.341283i | −0.0445082 | + | 0.0244398i | ||||
\(196\) | −1.50359 | − | 7.02516i | −0.107399 | − | 0.501797i | ||||
\(197\) | −5.27627 | − | 2.18550i | −0.375918 | − | 0.155710i | 0.186721 | − | 0.982413i | \(-0.440214\pi\) |
−0.562639 | + | 0.826703i | \(0.690214\pi\) | |||||||
\(198\) | −15.4295 | + | 3.02252i | −1.09653 | + | 0.214801i | ||||
\(199\) | 7.64455 | − | 7.64455i | 0.541908 | − | 0.541908i | −0.382180 | − | 0.924088i | \(-0.624827\pi\) |
0.924088 | + | 0.382180i | \(0.124827\pi\) | |||||||
\(200\) | 0.120996 | + | 0.185460i | 0.00855574 | + | 0.0131140i | ||||
\(201\) | 1.90628 | + | 4.89655i | 0.134459 | + | 0.345376i | ||||
\(202\) | −4.15618 | + | 14.0674i | −0.292428 | + | 0.989777i | ||||
\(203\) | 0.554130 | + | 4.20904i | 0.0388923 | + | 0.295417i | ||||
\(204\) | 12.6496 | + | 14.6278i | 0.885651 | + | 1.02415i | ||||
\(205\) | −23.7130 | − | 3.12187i | −1.65619 | − | 0.218041i | ||||
\(206\) | −18.5504 | + | 7.13582i | −1.29247 | + | 0.497176i | ||||
\(207\) | −4.38880 | − | 19.7264i | −0.305043 | − | 1.37108i | ||||
\(208\) | −0.707125 | + | 0.211628i | −0.0490303 | + | 0.0146738i | ||||
\(209\) | −1.50081 | + | 2.59948i | −0.103813 | + | 0.179810i | ||||
\(210\) | −4.60289 | − | 8.91340i | −0.317629 | − | 0.615083i | ||||
\(211\) | −7.46230 | − | 5.72603i | −0.513726 | − | 0.394196i | 0.319108 | − | 0.947718i | \(-0.396617\pi\) |
−0.832834 | + | 0.553522i | \(0.813283\pi\) | |||||||
\(212\) | −9.71907 | − | 8.27723i | −0.667509 | − | 0.568483i | ||||
\(213\) | 2.12361 | − | 0.520490i | 0.145507 | − | 0.0356634i | ||||
\(214\) | −21.0126 | + | 5.06032i | −1.43639 | + | 0.345916i | ||||
\(215\) | 2.89932 | − | 2.89932i | 0.197732 | − | 0.197732i | ||||
\(216\) | −3.66384 | − | 14.2329i | −0.249293 | − | 0.968428i | ||||
\(217\) | −6.75327 | − | 6.75327i | −0.458442 | − | 0.458442i | ||||
\(218\) | 15.7300 | + | 9.62416i | 1.06537 | + | 0.651830i | ||||
\(219\) | 5.52529 | + | 22.5433i | 0.373364 | + | 1.52333i | ||||
\(220\) | 14.6403 | − | 7.48559i | 0.987049 | − | 0.504678i | ||||
\(221\) | −0.627115 | + | 0.817272i | −0.0421843 | + | 0.0549757i | ||||
\(222\) | 22.0441 | + | 7.03012i | 1.47950 | + | 0.471831i | ||||
\(223\) | −17.3699 | − | 10.0285i | −1.16317 | − | 0.671558i | −0.211110 | − | 0.977462i | \(-0.567708\pi\) |
−0.952062 | + | 0.305904i | \(0.901041\pi\) | |||||||
\(224\) | −2.73828 | − | 10.0774i | −0.182959 | − | 0.673323i | ||||
\(225\) | −0.158807 | − | 0.173046i | −0.0105872 | − | 0.0115364i | ||||
\(226\) | −11.5771 | − | 5.14471i | −0.770100 | − | 0.342221i | ||||
\(227\) | −2.94476 | + | 22.3677i | −0.195450 | + | 1.48459i | 0.559510 | + | 0.828824i | \(0.310989\pi\) |
−0.754961 | + | 0.655770i | \(0.772344\pi\) | |||||||
\(228\) | −2.50775 | − | 1.25840i | −0.166080 | − | 0.0833398i | ||||
\(229\) | −16.8208 | + | 2.21450i | −1.11155 | + | 0.146338i | −0.663865 | − | 0.747853i | \(-0.731085\pi\) |
−0.447686 | + | 0.894191i | \(0.647752\pi\) | |||||||
\(230\) | 10.0976 | + | 18.5662i | 0.665813 | + | 1.22422i | ||||
\(231\) | 11.0421 | − | 4.29881i | 0.726516 | − | 0.282841i | ||||
\(232\) | −1.19887 | − | 6.39312i | −0.0787095 | − | 0.419729i | ||||
\(233\) | 3.91082 | + | 3.91082i | 0.256206 | + | 0.256206i | 0.823509 | − | 0.567303i | \(-0.192013\pi\) |
−0.567303 | + | 0.823509i | \(0.692013\pi\) | |||||||
\(234\) | 0.703155 | − | 0.344220i | 0.0459667 | − | 0.0225024i | ||||
\(235\) | 7.66987 | − | 18.5167i | 0.500327 | − | 1.20790i | ||||
\(236\) | −2.48161 | + | 13.4956i | −0.161539 | + | 0.878487i | ||||
\(237\) | 2.93008 | + | 5.33607i | 0.190329 | + | 0.346615i | ||||
\(238\) | −11.3329 | − | 9.16403i | −0.734605 | − | 0.594016i | ||||
\(239\) | −20.3662 | + | 11.7585i | −1.31738 | + | 0.760591i | −0.983307 | − | 0.181955i | \(-0.941758\pi\) |
−0.334076 | + | 0.942546i | \(0.608424\pi\) | |||||||
\(240\) | 7.78544 | + | 13.2525i | 0.502548 | + | 0.855446i | ||||
\(241\) | 10.7945 | + | 6.23220i | 0.695335 | + | 0.401452i | 0.805607 | − | 0.592450i | \(-0.201839\pi\) |
−0.110273 | + | 0.993901i | \(0.535172\pi\) | |||||||
\(242\) | 1.38798 | + | 3.60823i | 0.0892230 | + | 0.231946i | ||||
\(243\) | 6.30502 | + | 14.2565i | 0.404467 | + | 0.914553i | ||||
\(244\) | 10.1539 | + | 4.82562i | 0.650036 | + | 0.308928i | ||||
\(245\) | −4.85129 | − | 6.32233i | −0.309938 | − | 0.403919i | ||||
\(246\) | 25.9916 | + | 4.67106i | 1.65716 | + | 0.297816i | ||||
\(247\) | 0.0386832 | − | 0.144368i | 0.00246135 | − | 0.00918590i | ||||
\(248\) | 10.8951 | + | 9.76839i | 0.691839 | + | 0.620293i | ||||
\(249\) | −7.73971 | + | 9.65091i | −0.490484 | + | 0.611601i | ||||
\(250\) | 13.5908 | + | 8.31527i | 0.859555 | + | 0.525904i | ||||
\(251\) | 3.10929 | − | 7.50650i | 0.196257 | − | 0.473806i | −0.794861 | − | 0.606791i | \(-0.792456\pi\) |
0.991118 | + | 0.132985i | \(0.0424564\pi\) | |||||||
\(252\) | 4.61501 | + | 10.0690i | 0.290718 | + | 0.634288i | ||||
\(253\) | −23.0635 | + | 9.55323i | −1.44999 | + | 0.600606i | ||||
\(254\) | −12.7587 | − | 17.5348i | −0.800551 | − | 1.10023i | ||||
\(255\) | 19.6379 | + | 8.63208i | 1.22977 | + | 0.540562i | ||||
\(256\) | 5.02990 | + | 15.1888i | 0.314369 | + | 0.949301i | ||||
\(257\) | −20.3995 | + | 11.7777i | −1.27249 | + | 0.734670i | −0.975455 | − | 0.220198i | \(-0.929330\pi\) |
−0.297031 | + | 0.954868i | \(0.595996\pi\) | |||||||
\(258\) | −3.34782 | + | 3.04755i | −0.208426 | + | 0.189732i | ||||
\(259\) | −17.2886 | − | 2.27608i | −1.07426 | − | 0.141429i | ||||
\(260\) | −0.607678 | + | 0.548707i | −0.0376866 | + | 0.0340294i | ||||
\(261\) | 2.36452 | + | 6.48128i | 0.146360 | + | 0.401181i | ||||
\(262\) | 19.5962 | + | 0.499338i | 1.21066 | + | 0.0308492i | ||||
\(263\) | 26.2812 | − | 7.04204i | 1.62057 | − | 0.434231i | 0.669401 | − | 0.742901i | \(-0.266551\pi\) |
0.951169 | + | 0.308670i | \(0.0998840\pi\) | |||||||
\(264\) | −16.5345 | + | 7.49781i | −1.01763 | + | 0.461458i | ||||
\(265\) | −13.6782 | − | 3.66507i | −0.840246 | − | 0.225143i | ||||
\(266\) | 2.02790 | + | 0.599139i | 0.124339 | + | 0.0367355i | ||||
\(267\) | −6.70406 | − | 27.3527i | −0.410282 | − | 1.67396i | ||||
\(268\) | 3.44366 | + | 4.99547i | 0.210355 | + | 0.305147i | ||||
\(269\) | 16.1301 | − | 6.68130i | 0.983469 | − | 0.407366i | 0.167760 | − | 0.985828i | \(-0.446347\pi\) |
0.815710 | + | 0.578462i | \(0.196347\pi\) | |||||||
\(270\) | −10.4474 | − | 12.5149i | −0.635810 | − | 0.761635i | ||||
\(271\) | 12.9990 | 0.789633 | 0.394817 | − | 0.918760i | \(-0.370808\pi\) | ||||
0.394817 | + | 0.918760i | \(0.370808\pi\) | |||||||
\(272\) | 18.1026 | + | 13.0745i | 1.09763 | + | 0.792761i | ||||
\(273\) | −0.475686 | + | 0.349063i | −0.0287898 | + | 0.0211262i | ||||
\(274\) | 3.20937 | − | 3.96895i | 0.193885 | − | 0.239773i | ||||
\(275\) | −0.176624 | + | 0.230181i | −0.0106508 | + | 0.0138804i | ||||
\(276\) | −10.1753 | − | 20.9997i | −0.612479 | − | 1.26403i | ||||
\(277\) | −2.84519 | + | 2.18319i | −0.170951 | + | 0.131175i | −0.690693 | − | 0.723148i | \(-0.742695\pi\) |
0.519743 | + | 0.854323i | \(0.326028\pi\) | |||||||
\(278\) | −9.73411 | + | 9.25036i | −0.583813 | + | 0.554800i | ||||
\(279\) | −13.0962 | − | 8.32938i | −0.784051 | − | 0.498667i | ||||
\(280\) | −7.54155 | − | 8.79235i | −0.450694 | − | 0.525443i | ||||
\(281\) | −4.04330 | − | 15.0898i | −0.241203 | − | 0.900181i | −0.975254 | − | 0.221087i | \(-0.929040\pi\) |
0.734051 | − | 0.679094i | \(-0.237627\pi\) | |||||||
\(282\) | −9.41800 | + | 20.0251i | −0.560834 | + | 1.19247i | ||||
\(283\) | −2.24833 | − | 17.0778i | −0.133650 | − | 1.01517i | −0.918482 | − | 0.395462i | \(-0.870585\pi\) |
0.784833 | − | 0.619708i | \(-0.212749\pi\) | |||||||
\(284\) | 2.24791 | − | 1.14936i | 0.133389 | − | 0.0682019i | ||||
\(285\) | −3.11158 | − | 0.0667243i | −0.184314 | − | 0.00395241i | ||||
\(286\) | −0.568998 | − | 0.782001i | −0.0336456 | − | 0.0462407i | ||||
\(287\) | −19.9022 | −1.17479 | ||||||||
\(288\) | −7.90037 | − | 15.0195i | −0.465534 | − | 0.885030i | ||||
\(289\) | 14.1654 | 0.833258 | ||||||||
\(290\) | −4.24507 | − | 5.83420i | −0.249279 | − | 0.342596i | ||||
\(291\) | 1.30459 | + | 2.37584i | 0.0764765 | + | 0.139274i | ||||
\(292\) | 12.2011 | + | 23.8629i | 0.714015 | + | 1.39647i | ||||
\(293\) | 0.840546 | + | 6.38458i | 0.0491052 | + | 0.372991i | 0.998299 | + | 0.0582995i | \(0.0185678\pi\) |
−0.949194 | + | 0.314692i | \(0.898099\pi\) | |||||||
\(294\) | 5.02315 | + | 7.22416i | 0.292956 | + | 0.421322i | ||||
\(295\) | 3.93946 | + | 14.7023i | 0.229364 | + | 0.855999i | ||||
\(296\) | 26.6394 | + | 2.03996i | 1.54838 | + | 0.118570i | ||||
\(297\) | 15.9990 | − | 10.7163i | 0.928358 | − | 0.621825i | ||||
\(298\) | 1.17005 | − | 1.11190i | 0.0677791 | − | 0.0644107i | ||||
\(299\) | 0.986161 | − | 0.756708i | 0.0570312 | − | 0.0437615i | ||||
\(300\) | −0.224449 | − | 0.152236i | −0.0129585 | − | 0.00878936i | ||||
\(301\) | 2.07702 | − | 2.70683i | 0.119718 | − | 0.156019i | ||||
\(302\) | 3.50759 | − | 4.33776i | 0.201839 | − | 0.249610i | ||||
\(303\) | −1.96253 | − | 17.8577i | −0.112744 | − | 1.02590i | ||||
\(304\) | −3.15243 | − | 0.747449i | −0.180804 | − | 0.0428691i | ||||
\(305\) | 12.4704 | 0.714054 | ||||||||
\(306\) | −21.2118 | − | 10.5373i | −1.21260 | − | 0.602377i | ||||
\(307\) | −12.2380 | + | 5.06913i | −0.698457 | + | 0.289310i | −0.703519 | − | 0.710677i | \(-0.748389\pi\) |
0.00506166 | + | 0.999987i | \(0.498389\pi\) | |||||||
\(308\) | 11.2652 | − | 7.76571i | 0.641892 | − | 0.442492i | ||||
\(309\) | 17.5778 | − | 16.8397i | 0.999966 | − | 0.957980i | ||||
\(310\) | 15.5664 | + | 4.59906i | 0.884113 | + | 0.261209i | ||||
\(311\) | −8.59170 | − | 2.30214i | −0.487191 | − | 0.130542i | 0.00685827 | − | 0.999976i | \(-0.497817\pi\) |
−0.494049 | + | 0.869434i | \(0.664484\pi\) | |||||||
\(312\) | 0.698627 | − | 0.573707i | 0.0395520 | − | 0.0324798i | ||||
\(313\) | 20.5236 | − | 5.49929i | 1.16007 | − | 0.310839i | 0.373073 | − | 0.927802i | \(-0.378304\pi\) |
0.786992 | + | 0.616963i | \(0.211637\pi\) | |||||||
\(314\) | 3.71087 | + | 0.0945581i | 0.209416 | + | 0.00533622i | ||||
\(315\) | 9.41778 | + | 7.89039i | 0.530632 | + | 0.444573i | ||||
\(316\) | 4.71092 | + | 5.21721i | 0.265010 | + | 0.293491i | ||||
\(317\) | −3.84041 | − | 0.505599i | −0.215699 | − | 0.0283973i | 0.0219022 | − | 0.999760i | \(-0.493028\pi\) |
−0.237601 | + | 0.971363i | \(0.576361\pi\) | |||||||
\(318\) | 14.8960 | + | 4.75053i | 0.835328 | + | 0.266396i | ||||
\(319\) | 7.38069 | − | 4.26124i | 0.413239 | − | 0.238584i | ||||
\(320\) | 12.2712 | + | 12.8222i | 0.685978 | + | 0.716782i | ||||
\(321\) | 21.3413 | − | 15.6604i | 1.19116 | − | 0.874081i | ||||
\(322\) | 10.3470 | + | 14.2203i | 0.576614 | + | 0.792467i | ||||
\(323\) | −4.17748 | + | 1.73037i | −0.232441 | + | 0.0962803i | ||||
\(324\) | 10.8745 | + | 14.3438i | 0.604138 | + | 0.796879i | ||||
\(325\) | 0.00552857 | − | 0.0133472i | 0.000306670 | − | 0.000740367i | ||||
\(326\) | −20.1112 | − | 12.3047i | −1.11385 | − | 0.681492i | ||||
\(327\) | −22.3236 | − | 3.42733i | −1.23450 | − | 0.189532i | ||||
\(328\) | 30.4481 | − | 1.66021i | 1.68121 | − | 0.0916698i | ||||
\(329\) | 4.31646 | − | 16.1093i | 0.237974 | − | 0.888132i | ||||
\(330\) | −12.9953 | + | 15.3844i | −0.715370 | + | 0.846883i | ||||
\(331\) | −17.8115 | − | 23.2124i | −0.979008 | − | 1.27587i | −0.961150 | − | 0.276028i | \(-0.910982\pi\) |
−0.0178586 | − | 0.999841i | \(-0.505685\pi\) | |||||||
\(332\) | −6.13163 | + | 12.9020i | −0.336517 | + | 0.708087i | ||||
\(333\) | −28.2284 | + | 2.49106i | −1.54690 | + | 0.136509i | ||||
\(334\) | 11.0782 | + | 28.7992i | 0.606174 | + | 1.57582i | ||||
\(335\) | 5.82857 | + | 3.36513i | 0.318449 | + | 0.183857i | ||||
\(336\) | 7.86235 | + | 10.0877i | 0.428926 | + | 0.550328i | ||||
\(337\) | 5.98821 | − | 3.45730i | 0.326199 | − | 0.188331i | −0.327954 | − | 0.944694i | \(-0.606359\pi\) |
0.654152 | + | 0.756363i | \(0.273026\pi\) | |||||||
\(338\) | −14.2584 | − | 11.5296i | −0.775552 | − | 0.627126i | ||||
\(339\) | 15.5125 | + | 0.332647i | 0.842522 | + | 0.0180669i | ||||
\(340\) | 24.3615 | + | 4.47966i | 1.32119 | + | 0.242943i | ||||
\(341\) | −7.33704 | + | 17.7132i | −0.397323 | + | 0.959223i | ||||
\(342\) | 3.42834 | + | 0.234716i | 0.185383 | + | 0.0126920i | ||||
\(343\) | −13.8264 | − | 13.8264i | −0.746557 | − | 0.746557i | ||||
\(344\) | −2.95181 | + | 4.31440i | −0.159151 | + | 0.232617i | ||||
\(345\) | −20.1928 | − | 16.1940i | −1.08715 | − | 0.871855i | ||||
\(346\) | −15.0556 | − | 27.6825i | −0.809394 | − | 1.48822i | ||||
\(347\) | −15.8024 | + | 2.08042i | −0.848316 | + | 0.111683i | −0.542136 | − | 0.840291i | \(-0.682384\pi\) |
−0.306180 | + | 0.951974i | \(0.599051\pi\) | |||||||
\(348\) | 4.37982 | + | 6.65441i | 0.234783 | + | 0.356714i | ||||
\(349\) | 1.44122 | − | 10.9471i | 0.0771466 | − | 0.585987i | −0.908590 | − | 0.417690i | \(-0.862840\pi\) |
0.985736 | − | 0.168297i | \(-0.0538267\pi\) | |||||||
\(350\) | 0.186781 | + | 0.0830027i | 0.00998386 | + | 0.00443668i | ||||
\(351\) | −0.631393 | + | 0.721606i | −0.0337012 | + | 0.0385165i | ||||
\(352\) | −16.5866 | + | 12.8204i | −0.884069 | + | 0.683328i | ||||
\(353\) | 17.5261 | + | 10.1187i | 0.932818 | + | 0.538563i | 0.887702 | − | 0.460419i | \(-0.152301\pi\) |
0.0451163 | + | 0.998982i | \(0.485634\pi\) | |||||||
\(354\) | −3.58354 | − | 16.4192i | −0.190463 | − | 0.872673i | ||||
\(355\) | 1.70485 | − | 2.22180i | 0.0904840 | − | 0.117921i | ||||
\(356\) | −14.8041 | − | 28.9538i | −0.784616 | − | 1.53455i | ||||
\(357\) | 17.1388 | + | 4.98850i | 0.907080 | + | 0.264020i | ||||
\(358\) | −11.5484 | − | 7.06567i | −0.610351 | − | 0.373432i | ||||
\(359\) | 2.32265 | + | 2.32265i | 0.122585 | + | 0.122585i | 0.765738 | − | 0.643153i | \(-0.222374\pi\) |
−0.643153 | + | 0.765738i | \(0.722374\pi\) | |||||||
\(360\) | −15.0663 | − | 11.2858i | −0.794065 | − | 0.594813i | ||||
\(361\) | −12.9711 | + | 12.9711i | −0.682692 | + | 0.682692i | ||||
\(362\) | 5.26197 | − | 1.26721i | 0.276563 | − | 0.0666029i | ||||
\(363\) | −3.27549 | − | 3.41904i | −0.171919 | − | 0.179453i | ||||
\(364\) | −0.441736 | + | 0.518683i | −0.0231532 | + | 0.0271864i | ||||
\(365\) | 23.5857 | + | 18.0979i | 1.23453 | + | 0.947289i | ||||
\(366\) | −13.7537 | − | 0.645750i | −0.718919 | − | 0.0337539i | ||||
\(367\) | −4.42959 | + | 7.67228i | −0.231223 | + | 0.400490i | −0.958168 | − | 0.286206i | \(-0.907606\pi\) |
0.726945 | + | 0.686695i | \(0.240939\pi\) | |||||||
\(368\) | −17.0159 | − | 20.8923i | −0.887016 | − | 1.08909i | ||||
\(369\) | −31.5711 | + | 7.02406i | −1.64353 | + | 0.365658i | ||||
\(370\) | 27.6602 | − | 10.6401i | 1.43799 | − | 0.553154i | ||||
\(371\) | −11.6826 | − | 1.53804i | −0.606528 | − | 0.0798509i | ||||
\(372\) | −16.9302 | − | 5.87841i | −0.877789 | − | 0.304782i | ||||
\(373\) | 2.02041 | + | 15.3465i | 0.104613 | + | 0.794614i | 0.960662 | + | 0.277720i | \(0.0895786\pi\) |
−0.856049 | + | 0.516894i | \(0.827088\pi\) | |||||||
\(374\) | −8.28996 | + | 28.0590i | −0.428664 | + | 1.45090i | ||||
\(375\) | −19.2876 | − | 2.96121i | −0.996005 | − | 0.152916i | ||||
\(376\) | −5.25988 | + | 25.0054i | −0.271258 | + | 1.28955i | ||||
\(377\) | −0.300069 | + | 0.300069i | −0.0154544 | + | 0.0154544i | ||||
\(378\) | −9.97836 | − | 9.19006i | −0.513232 | − | 0.472685i | ||||
\(379\) | −1.63313 | − | 0.676463i | −0.0838881 | − | 0.0347476i | 0.340345 | − | 0.940301i | \(-0.389456\pi\) |
−0.424233 | + | 0.905553i | \(0.639456\pi\) | |||||||
\(380\) | −3.51418 | + | 0.752137i | −0.180274 | + | 0.0385838i | ||||
\(381\) | 22.7108 | + | 13.7696i | 1.16351 | + | 0.705437i | ||||
\(382\) | 0.839675 | + | 7.93523i | 0.0429615 | + | 0.406002i | ||||
\(383\) | 11.5956 | + | 20.0841i | 0.592507 | + | 1.02625i | 0.993894 | + | 0.110343i | \(0.0351950\pi\) |
−0.401387 | + | 0.915909i | \(0.631472\pi\) | |||||||
\(384\) | −12.8700 | − | 14.7771i | −0.656769 | − | 0.754092i | ||||
\(385\) | 7.58861 | − | 13.1439i | 0.386752 | − | 0.669873i | ||||
\(386\) | −26.6516 | − | 11.8436i | −1.35653 | − | 0.602821i | ||||
\(387\) | 2.33949 | − | 5.02692i | 0.118923 | − | 0.255533i | ||||
\(388\) | 2.09749 | + | 2.32291i | 0.106484 | + | 0.117928i | ||||
\(389\) | −7.36985 | + | 5.65508i | −0.373666 | + | 0.286724i | −0.778473 | − | 0.627678i | \(-0.784005\pi\) |
0.404807 | + | 0.914402i | \(0.367339\pi\) | |||||||
\(390\) | 0.426766 | − | 0.907413i | 0.0216102 | − | 0.0459487i | ||||
\(391\) | −36.3243 | − | 9.73307i | −1.83700 | − | 0.492223i | ||||
\(392\) | 7.56476 | + | 6.78246i | 0.382078 | + | 0.342566i | ||||
\(393\) | −22.3725 | + | 8.70987i | −1.12854 | + | 0.439355i | ||||
\(394\) | 7.85207 | − | 1.89096i | 0.395582 | − | 0.0952654i | ||||
\(395\) | 7.20377 | + | 2.98390i | 0.362461 | + | 0.150136i | ||||
\(396\) | 15.1293 | − | 16.2946i | 0.760277 | − | 0.818837i | ||||
\(397\) | −1.99779 | − | 4.82308i | −0.100266 | − | 0.242063i | 0.865784 | − | 0.500417i | \(-0.166820\pi\) |
−0.966050 | + | 0.258354i | \(0.916820\pi\) | |||||||
\(398\) | −2.38111 | + | 15.1025i | −0.119354 | + | 0.757022i | ||||
\(399\) | −2.57429 | + | 0.282911i | −0.128876 | + | 0.0141632i | ||||
\(400\) | −0.292677 | − | 0.111404i | −0.0146339 | − | 0.00557018i | ||||
\(401\) | −14.9800 | − | 25.9461i | −0.748066 | − | 1.29569i | −0.948748 | − | 0.316032i | \(-0.897649\pi\) |
0.200682 | − | 0.979656i | \(-0.435684\pi\) | |||||||
\(402\) | −6.25413 | − | 4.01325i | −0.311928 | − | 0.200163i | ||||
\(403\) | 0.124609 | − | 0.946499i | 0.00620722 | − | 0.0471485i | ||||
\(404\) | −6.95215 | − | 19.5448i | −0.345882 | − | 0.972388i | ||||
\(405\) | 17.7243 | + | 9.19282i | 0.880727 | + | 0.456795i | ||||
\(406\) | −4.13584 | − | 4.35212i | −0.205258 | − | 0.215992i | ||||
\(407\) | 9.06021 | + | 33.8132i | 0.449098 | + | 1.67606i | ||||
\(408\) | −26.6365 | − | 6.20215i | −1.31870 | − | 0.307052i | ||||
\(409\) | 6.21563 | − | 23.1970i | 0.307343 | − | 1.14702i | −0.623566 | − | 0.781770i | \(-0.714317\pi\) |
0.930910 | − | 0.365250i | \(-0.119016\pi\) | |||||||
\(410\) | 29.7143 | − | 16.1606i | 1.46748 | − | 0.798116i | ||||
\(411\) | −1.74704 | + | 6.00223i | −0.0861752 | + | 0.296068i | ||||
\(412\) | 15.2756 | − | 23.5951i | 0.752577 | − | 1.16245i | ||||
\(413\) | 4.84689 | + | 11.7014i | 0.238500 | + | 0.575790i | ||||
\(414\) | 21.4323 | + | 18.9061i | 1.05334 | + | 0.929185i | ||||
\(415\) | 15.8454i | 0.777822i | ||||||||
\(416\) | 0.632537 | − | 0.830375i | 0.0310127 | − | 0.0407125i | ||||
\(417\) | 6.61806 | − | 15.0560i | 0.324088 | − | 0.737298i | ||||
\(418\) | −0.446688 | − | 4.22137i | −0.0218482 | − | 0.206474i | ||||
\(419\) | −0.579759 | − | 0.444865i | −0.0283231 | − | 0.0217331i | 0.594503 | − | 0.804093i | \(-0.297349\pi\) |
−0.622826 | + | 0.782360i | \(0.714016\pi\) | |||||||
\(420\) | 12.6800 | + | 6.36292i | 0.618723 | + | 0.310479i | ||||
\(421\) | 23.3754 | + | 30.4635i | 1.13925 | + | 1.48470i | 0.849495 | + | 0.527597i | \(0.176907\pi\) |
0.289754 | + | 0.957101i | \(0.406426\pi\) | |||||||
\(422\) | 13.2978 | + | 0.338847i | 0.647327 | + | 0.0164948i | ||||
\(423\) | 1.16183 | − | 27.0777i | 0.0564903 | − | 1.31656i | ||||
\(424\) | 18.0013 | + | 1.37848i | 0.874219 | + | 0.0669449i | ||||
\(425\) | −0.422172 | + | 0.113121i | −0.0204784 | + | 0.00548716i | ||||
\(426\) | −1.99534 | + | 2.36216i | −0.0966747 | + | 0.114447i | ||||
\(427\) | 10.2880 | − | 1.35445i | 0.497873 | − | 0.0655463i | ||||
\(428\) | 19.8182 | − | 23.2704i | 0.957947 | − | 1.12482i | ||||
\(429\) | 1.01283 | + | 0.614081i | 0.0489000 | + | 0.0296481i | ||||
\(430\) | −0.903074 | + | 5.72788i | −0.0435501 | + | 0.276223i | ||||
\(431\) | − | 14.9906i | − | 0.722073i | −0.932552 | − | 0.361037i | \(-0.882423\pi\) | ||
0.932552 | − | 0.361037i | \(-0.117577\pi\) | |||||||
\(432\) | 16.0324 | + | 13.2274i | 0.771358 | + | 0.636401i | ||||
\(433\) | − | 26.8493i | − | 1.29029i | −0.764058 | − | 0.645147i | \(-0.776796\pi\) | ||
0.764058 | − | 0.645147i | \(-0.223204\pi\) | |||||||
\(434\) | 13.3417 | + | 2.10350i | 0.640424 | + | 0.100971i | ||||
\(435\) | 7.55635 | + | 4.58142i | 0.362299 | + | 0.219662i | ||||
\(436\) | −25.9958 | + | 2.08275i | −1.24497 | + | 0.0997454i | ||||
\(437\) | 5.40940 | − | 0.712160i | 0.258766 | − | 0.0340673i | ||||
\(438\) | −25.0757 | − | 21.1817i | −1.19816 | − | 1.01210i | ||||
\(439\) | −6.25417 | + | 1.67580i | −0.298495 | + | 0.0799816i | −0.404959 | − | 0.914335i | \(-0.632714\pi\) |
0.106463 | + | 0.994317i | \(0.466047\pi\) | |||||||
\(440\) | −10.5133 | + | 20.7416i | −0.501201 | + | 0.988819i | ||||
\(441\) | −9.09307 | − | 5.78332i | −0.433003 | − | 0.275396i | ||||
\(442\) | 0.0371105 | − | 1.45638i | 0.00176517 | − | 0.0692728i | ||||
\(443\) | 13.2765 | + | 17.3022i | 0.630784 | + | 0.822053i | 0.993969 | − | 0.109664i | \(-0.0349774\pi\) |
−0.363185 | + | 0.931717i | \(0.618311\pi\) | |||||||
\(444\) | −31.0577 | + | 10.3028i | −1.47393 | + | 0.488948i | ||||
\(445\) | −28.6175 | − | 21.9590i | −1.35660 | − | 1.04096i | ||||
\(446\) | 28.2074 | − | 2.98480i | 1.33566 | − | 0.141334i | ||||
\(447\) | −0.795497 | + | 1.80975i | −0.0376257 | + | 0.0855982i | ||||
\(448\) | 11.5163 | + | 9.24544i | 0.544094 | + | 0.436806i | ||||
\(449\) | 22.1792i | 1.04670i | 0.852118 | + | 0.523350i | \(0.175318\pi\) | ||||
−0.852118 | + | 0.523350i | \(0.824682\pi\) | |||||||
\(450\) | 0.325587 | + | 0.0657478i | 0.0153483 | + | 0.00309938i | ||||
\(451\) | 15.2895 | + | 36.9120i | 0.719953 | + | 1.73812i | ||||
\(452\) | 17.5196 | − | 3.74970i | 0.824053 | − | 0.176371i | ||||
\(453\) | −1.90938 | + | 6.55997i | −0.0897106 | + | 0.308214i | ||||
\(454\) | −15.2438 | − | 28.0285i | −0.715426 | − | 1.31544i | ||||
\(455\) | −0.195596 | + | 0.729973i | −0.00916967 | + | 0.0342217i | ||||
\(456\) | 3.91477 | − | 0.647564i | 0.183326 | − | 0.0303250i | ||||
\(457\) | −4.35424 | − | 16.2503i | −0.203683 | − | 0.760155i | −0.989847 | − | 0.142137i | \(-0.954603\pi\) |
0.786164 | − | 0.618018i | \(-0.212064\pi\) | |||||||
\(458\) | 17.3926 | − | 16.5283i | 0.812704 | − | 0.772316i | ||||
\(459\) | 28.9480 | + | 1.86456i | 1.35118 | + | 0.0870301i | ||||
\(460\) | −26.9951 | − | 12.8294i | −1.25865 | − | 0.598173i | ||||
\(461\) | −1.43636 | + | 10.9102i | −0.0668980 | + | 0.508140i | 0.924889 | + | 0.380238i | \(0.124158\pi\) |
−0.991787 | + | 0.127903i | \(0.959175\pi\) | |||||||
\(462\) | −9.05017 | + | 14.1035i | −0.421052 | + | 0.656155i | ||||
\(463\) | 8.58216 | + | 14.8647i | 0.398847 | + | 0.690823i | 0.993584 | − | 0.113098i | \(-0.0360773\pi\) |
−0.594737 | + | 0.803920i | \(0.702744\pi\) | |||||||
\(464\) | 6.69041 | + | 6.31324i | 0.310594 | + | 0.293085i | ||||
\(465\) | −19.7606 | + | 2.17166i | −0.916375 | + | 0.100708i | ||||
\(466\) | −7.72620 | − | 1.21813i | −0.357909 | − | 0.0564290i | ||||
\(467\) | 0.385876 | + | 0.931588i | 0.0178562 | + | 0.0431088i | 0.932556 | − | 0.361025i | \(-0.117573\pi\) |
−0.914700 | + | 0.404134i | \(0.867573\pi\) | |||||||
\(468\) | −0.517673 | + | 0.978695i | −0.0239294 | + | 0.0452402i | ||||
\(469\) | 5.17405 | + | 2.14316i | 0.238915 | + | 0.0989620i | ||||
\(470\) | 6.63621 | + | 27.5563i | 0.306105 | + | 1.27108i | ||||
\(471\) | −4.23661 | + | 1.64936i | −0.195213 | + | 0.0759985i | ||||
\(472\) | −8.39131 | − | 17.4975i | −0.386241 | − | 0.805390i | ||||
\(473\) | −6.61591 | − | 1.77273i | −0.304200 | − | 0.0815101i | ||||
\(474\) | −7.79058 | − | 3.66400i | −0.357833 | − | 0.168293i | ||||
\(475\) | 0.0503082 | − | 0.0386029i | 0.00230830 | − | 0.00177122i | ||||
\(476\) | 20.5847 | + | 1.04973i | 0.943496 | + | 0.0481145i | ||||
\(477\) | −19.0750 | + | 1.68330i | −0.873384 | + | 0.0770732i | ||||
\(478\) | 13.5058 | − | 30.3922i | 0.617742 | − | 1.39010i | ||||
\(479\) | 12.6043 | − | 21.8313i | 0.575905 | − | 0.997496i | −0.420038 | − | 0.907506i | \(-0.637983\pi\) |
0.995943 | − | 0.0899896i | \(-0.0286834\pi\) | |||||||
\(480\) | −19.9298 | − | 8.67680i | −0.909667 | − | 0.396040i | ||||
\(481\) | −0.871530 | − | 1.50953i | −0.0397384 | − | 0.0688289i | ||||
\(482\) | −17.5295 | + | 1.85490i | −0.798445 | + | 0.0844884i | ||||
\(483\) | −18.4179 | − | 11.1668i | −0.838043 | − | 0.508106i | ||||
\(484\) | −4.58947 | − | 2.97126i | −0.208612 | − | 0.135057i | ||||
\(485\) | 3.20741 | + | 1.32855i | 0.145641 | + | 0.0603265i | ||||
\(486\) | −19.0722 | − | 11.0566i | −0.865135 | − | 0.501540i | ||||
\(487\) | −29.1129 | + | 29.1129i | −1.31923 | + | 1.31923i | −0.404846 | + | 0.914385i | \(0.632675\pi\) |
−0.914385 | + | 0.404846i | \(0.867325\pi\) | |||||||
\(488\) | −15.6265 | + | 2.93036i | −0.707381 | + | 0.132651i | ||||
\(489\) | 28.5411 | + | 4.38191i | 1.29067 | + | 0.198157i | ||||
\(490\) | 10.8082 | + | 3.19325i | 0.488264 | + | 0.144257i | ||||
\(491\) | 4.41738 | + | 33.5533i | 0.199353 | + | 1.51424i | 0.739780 | + | 0.672848i | \(0.234929\pi\) |
−0.540427 | + | 0.841391i | \(0.681737\pi\) | |||||||
\(492\) | −33.6090 | + | 16.2850i | −1.51521 | + | 0.734185i | ||||
\(493\) | 12.7285 | + | 1.67574i | 0.573263 | + | 0.0754716i | ||||
\(494\) | 0.0758868 | + | 0.197277i | 0.00341431 | + | 0.00887589i | ||||
\(495\) | 7.39906 | − | 23.5285i | 0.332563 | − | 1.05753i | ||||
\(496\) | −20.5868 | − | 2.10516i | −0.924375 | − | 0.0945246i | ||||
\(497\) | 1.16518 | − | 2.01815i | 0.0522654 | − | 0.0905263i | ||||
\(498\) | 0.820517 | − | 17.4761i | 0.0367682 | − | 0.783121i | ||||
\(499\) | −13.2713 | − | 10.1834i | −0.594104 | − | 0.455872i | 0.267426 | − | 0.963578i | \(-0.413827\pi\) |
−0.861530 | + | 0.507706i | \(0.830494\pi\) | |||||||
\(500\) | −22.4603 | + | 1.79949i | −1.00446 | + | 0.0804757i | ||||
\(501\) | −26.1434 | − | 27.2892i | −1.16800 | − | 1.21919i | ||||
\(502\) | 2.69026 | + | 11.1711i | 0.120072 | + | 0.498589i | ||||
\(503\) | 18.2536 | − | 18.2536i | 0.813887 | − | 0.813887i | −0.171327 | − | 0.985214i | \(-0.554805\pi\) |
0.985214 | + | 0.171327i | \(0.0548054\pi\) | |||||||
\(504\) | −13.6554 | − | 7.67433i | −0.608262 | − | 0.341842i | ||||
\(505\) | −16.2710 | − | 16.2710i | −0.724049 | − | 0.724049i | ||||
\(506\) | 18.4252 | − | 30.1147i | 0.819098 | − | 1.33876i | ||||
\(507\) | 21.5629 | + | 6.27620i | 0.957640 | + | 0.278736i | ||||
\(508\) | 29.1801 | + | 9.43577i | 1.29466 | + | 0.418645i | ||||
\(509\) | 1.99161 | − | 2.59551i | 0.0882764 | − | 0.115044i | −0.747127 | − | 0.664681i | \(-0.768567\pi\) |
0.835403 | + | 0.549637i | \(0.185234\pi\) | |||||||
\(510\) | −29.6391 | + | 6.46881i | −1.31244 | + | 0.286444i | ||||
\(511\) | 21.4238 | + | 12.3690i | 0.947732 | + | 0.547173i | ||||
\(512\) | −18.3899 | − | 13.1838i | −0.812725 | − | 0.582647i | ||||
\(513\) | −3.98378 | + | 1.35733i | −0.175888 | + | 0.0599275i | ||||
\(514\) | 13.5279 | − | 30.4418i | 0.596689 | − | 1.34273i | ||||
\(515\) | 4.06967 | − | 30.9122i | 0.179331 | − | 1.36216i | ||||
\(516\) | 1.29261 | − | 6.27056i | 0.0569041 | − | 0.276046i | ||||
\(517\) | −33.1934 | + | 4.37000i | −1.45984 | + | 0.192192i | ||||
\(518\) | 21.6639 | − | 11.7823i | 0.951859 | − | 0.517685i | ||||
\(519\) | 30.1078 | + | 24.1455i | 1.32159 | + | 1.05987i | ||||
\(520\) | 0.238346 | − | 1.13309i | 0.0104522 | − | 0.0496893i | ||||
\(521\) | −8.21750 | − | 8.21750i | −0.360015 | − | 0.360015i | 0.503803 | − | 0.863818i | \(-0.331934\pi\) |
−0.863818 | + | 0.503803i | \(0.831934\pi\) | |||||||
\(522\) | −8.09672 | − | 5.44417i | −0.354384 | − | 0.238285i | ||||
\(523\) | 9.62002 | − | 23.2248i | 0.420654 | − | 1.01555i | −0.561501 | − | 0.827476i | \(-0.689776\pi\) |
0.982155 | − | 0.188073i | \(-0.0602240\pi\) | |||||||
\(524\) | −22.8244 | + | 15.7342i | −0.997090 | + | 0.687350i | ||||
\(525\) | −0.250272 | − | 0.00536679i | −0.0109228 | − | 0.000234226i | ||||
\(526\) | −24.1942 | + | 29.9204i | −1.05492 | + | 1.30459i | ||||
\(527\) | −25.0124 | + | 14.4409i | −1.08956 | + | 0.629056i | ||||
\(528\) | 12.6692 | − | 22.3317i | 0.551358 | − | 0.971864i | ||||
\(529\) | 19.3790 | + | 11.1885i | 0.842564 | + | 0.486455i | ||||
\(530\) | 18.6911 | − | 7.18995i | 0.811890 | − | 0.312311i | ||||
\(531\) | 11.8185 | + | 16.8515i | 0.512878 | + | 0.731294i | ||||
\(532\) | −2.81750 | + | 1.00220i | −0.122154 | + | 0.0434507i | ||||
\(533\) | −1.21107 | − | 1.57830i | −0.0524574 | − | 0.0683638i | ||||
\(534\) | 30.4254 | + | 25.7006i | 1.31664 | + | 1.11218i | ||||
\(535\) | 8.77526 | − | 32.7497i | 0.379388 | − | 1.41589i | ||||
\(536\) | −8.09448 | − | 2.84718i | −0.349628 | − | 0.122979i | ||||
\(537\) | 16.3891 | + | 2.51621i | 0.707241 | + | 0.108583i | ||||
\(538\) | −12.8861 | + | 21.0615i | −0.555560 | + | 0.908026i | ||||
\(539\) | −5.09431 | + | 12.2987i | −0.219427 | + | 0.529744i | ||||
\(540\) | 22.3602 | + | 5.61843i | 0.962229 | + | 0.241779i | ||||
\(541\) | 33.5317 | − | 13.8893i | 1.44164 | − | 0.597148i | 0.481446 | − | 0.876475i | \(-0.340112\pi\) |
0.960196 | + | 0.279328i | \(0.0901116\pi\) | |||||||
\(542\) | −14.8648 | + | 10.8159i | −0.638500 | + | 0.464584i | ||||
\(543\) | −5.34430 | + | 3.92169i | −0.229346 | + | 0.168296i | ||||
\(544\) | −31.5797 | + | 0.111169i | −1.35397 | + | 0.00476634i | ||||
\(545\) | −25.0525 | + | 14.4640i | −1.07313 | + | 0.619572i | ||||
\(546\) | 0.253524 | − | 0.794965i | 0.0108498 | − | 0.0340214i | ||||
\(547\) | 21.7869 | + | 2.86829i | 0.931539 | + | 0.122639i | 0.580995 | − | 0.813907i | \(-0.302663\pi\) |
0.350544 | + | 0.936546i | \(0.385997\pi\) | |||||||
\(548\) | −0.367631 | + | 7.20902i | −0.0157044 | + | 0.307954i | ||||
\(549\) | 15.8420 | − | 5.77953i | 0.676122 | − | 0.246664i | ||||
\(550\) | 0.0104520 | − | 0.410182i | 0.000445676 | − | 0.0174902i | ||||
\(551\) | −1.79920 | + | 0.482094i | −0.0766485 | + | 0.0205379i | ||||
\(552\) | 29.1088 | + | 15.5475i | 1.23895 | + | 0.661745i | ||||
\(553\) | 6.26717 | + | 1.67928i | 0.266507 | + | 0.0714104i | ||||
\(554\) | 1.43703 | − | 4.86392i | 0.0610537 | − | 0.206648i | ||||
\(555\) | −26.2100 | + | 25.1095i | −1.11255 | + | 1.06584i | ||||
\(556\) | 3.43447 | − | 18.6775i | 0.145654 | − | 0.792102i | ||||
\(557\) | −13.8767 | + | 5.74792i | −0.587975 | + | 0.243547i | −0.656779 | − | 0.754083i | \(-0.728082\pi\) |
0.0688040 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(558\) | 21.9066 | − | 1.37189i | 0.927379 | − | 0.0580765i | ||||
\(559\) | 0.341049 | 0.0144248 | ||||||||
\(560\) | 15.9398 | + | 3.77936i | 0.673579 | + | 0.159707i | ||||
\(561\) | −3.91448 | − | 35.6191i | −0.165270 | − | 1.50384i | ||||
\(562\) | 17.1793 | + | 13.8915i | 0.724663 | + | 0.585976i | ||||
\(563\) | 13.3053 | − | 17.3398i | 0.560751 | − | 0.730785i | −0.423825 | − | 0.905744i | \(-0.639313\pi\) |
0.984576 | + | 0.174959i | \(0.0559794\pi\) | |||||||
\(564\) | −5.89220 | − | 30.7357i | −0.248106 | − | 1.29421i | ||||
\(565\) | 15.7668 | − | 12.0983i | 0.663316 | − | 0.508980i | ||||
\(566\) | 16.7808 | + | 17.6583i | 0.705349 | + | 0.742236i | ||||
\(567\) | 15.6209 | + | 5.65896i | 0.656017 | + | 0.237654i | ||||
\(568\) | −1.61424 | + | 3.18473i | −0.0677320 | + | 0.133628i | ||||
\(569\) | 8.04842 | + | 30.0371i | 0.337407 | + | 1.25922i | 0.901236 | + | 0.433329i | \(0.142661\pi\) |
−0.563829 | + | 0.825892i | \(0.690672\pi\) | |||||||
\(570\) | 3.61373 | − | 2.51272i | 0.151363 | − | 0.105246i | ||||
\(571\) | 0.967944 | + | 7.35226i | 0.0405072 | + | 0.307683i | 0.999690 | + | 0.0248960i | \(0.00792547\pi\) |
−0.959183 | + | 0.282787i | \(0.908741\pi\) | |||||||
\(572\) | 1.30134 | + | 0.420807i | 0.0544118 | + | 0.0175948i | ||||
\(573\) | −4.70387 | − | 8.56639i | −0.196507 | − | 0.357866i | ||||
\(574\) | 22.7589 | − | 16.5598i | 0.949938 | − | 0.691193i | ||||
\(575\) | 0.527384 | 0.0219934 | ||||||||
\(576\) | 21.5314 | + | 10.6017i | 0.897144 | + | 0.441739i | ||||
\(577\) | 16.0408 | 0.667789 | 0.333894 | − | 0.942610i | \(-0.391637\pi\) | ||||
0.333894 | + | 0.942610i | \(0.391637\pi\) | |||||||
\(578\) | −16.1986 | + | 11.7864i | −0.673775 | + | 0.490251i | ||||
\(579\) | 35.7110 | + | 0.765781i | 1.48410 | + | 0.0318248i | ||||
\(580\) | 9.70880 | + | 3.13947i | 0.403136 | + | 0.130359i | ||||
\(581\) | 1.72102 | + | 13.0724i | 0.0713998 | + | 0.542335i | ||||
\(582\) | −3.46868 | − | 1.63136i | −0.143782 | − | 0.0676221i | ||||
\(583\) | 6.12234 | + | 22.8489i | 0.253561 | + | 0.946303i | ||||
\(584\) | −33.8077 | − | 17.1360i | −1.39897 | − | 0.709095i | ||||
\(585\) | −0.0526473 | + | 1.22700i | −0.00217670 | + | 0.0507301i | ||||
\(586\) | −6.27355 | − | 6.60162i | −0.259158 | − | 0.272711i | ||||
\(587\) | −28.0290 | + | 21.5074i | −1.15688 | + | 0.887707i | −0.995076 | − | 0.0991152i | \(-0.968399\pi\) |
−0.161807 | + | 0.986822i | \(0.551732\pi\) | |||||||
\(588\) | −11.7551 | − | 4.08154i | −0.484771 | − | 0.168320i | ||||
\(589\) | 2.55093 | − | 3.32443i | 0.105109 | − | 0.136981i | ||||
\(590\) | −16.7381 | − | 13.5347i | −0.689096 | − | 0.557216i | ||||
\(591\) | −7.97493 | + | 5.85207i | −0.328045 | + | 0.240722i | ||||
\(592\) | −32.1605 | + | 19.8328i | −1.32179 | + | 0.815122i | ||||
\(593\) | 35.7601 | 1.46849 | 0.734245 | − | 0.678885i | \(-0.237537\pi\) | ||||
0.734245 | + | 0.678885i | \(0.237537\pi\) | |||||||
\(594\) | −9.37886 | + | 25.5667i | −0.384819 | + | 1.04901i | ||||
\(595\) | 21.1228 | − | 8.74934i | 0.865949 | − | 0.358688i | ||||
\(596\) | −0.412827 | + | 2.24505i | −0.0169100 | + | 0.0919609i | ||||
\(597\) | −4.45757 | − | 18.1869i | −0.182436 | − | 0.744342i | ||||
\(598\) | −0.498086 | + | 1.68587i | −0.0203683 | + | 0.0689403i | ||||
\(599\) | 27.1376 | + | 7.27150i | 1.10881 | + | 0.297105i | 0.766348 | − | 0.642425i | \(-0.222072\pi\) |
0.342464 | + | 0.939531i | \(0.388738\pi\) | |||||||
\(600\) | 0.383335 | − | 0.0126667i | 0.0156496 | − | 0.000517117i | ||||
\(601\) | 13.7493 | − | 3.68411i | 0.560845 | − | 0.150278i | 0.0327504 | − | 0.999464i | \(-0.489573\pi\) |
0.528094 | + | 0.849186i | \(0.322907\pi\) | |||||||
\(602\) | −0.122911 | + | 4.82357i | −0.00500949 | + | 0.196594i | ||||
\(603\) | 8.96404 | + | 1.57365i | 0.365044 | + | 0.0640840i | ||||
\(604\) | −0.401792 | + | 7.87891i | −0.0163487 | + | 0.320588i | ||||
\(605\) | −6.01272 | − | 0.791590i | −0.244452 | − | 0.0321827i | ||||
\(606\) | 17.1029 | + | 18.7880i | 0.694756 | + | 0.763209i | ||||
\(607\) | 4.39994 | − | 2.54031i | 0.178588 | − | 0.103108i | −0.408041 | − | 0.912964i | \(-0.633788\pi\) |
0.586629 | + | 0.809856i | \(0.300455\pi\) | |||||||
\(608\) | 4.22685 | − | 1.76828i | 0.171421 | − | 0.0717130i | ||||
\(609\) | 6.73156 | + | 2.95894i | 0.272777 | + | 0.119902i | ||||
\(610\) | −14.2604 | + | 10.3761i | −0.577386 | + | 0.420117i | ||||
\(611\) | 1.54017 | − | 0.637960i | 0.0623087 | − | 0.0258091i | ||||
\(612\) | 33.0242 | − | 5.59972i | 1.33492 | − | 0.226355i | ||||
\(613\) | 12.1189 | − | 29.2575i | 0.489476 | − | 1.18170i | −0.465509 | − | 0.885043i | \(-0.654129\pi\) |
0.954984 | − | 0.296656i | \(-0.0958714\pi\) | |||||||
\(614\) | 9.77674 | − | 15.9794i | 0.394557 | − | 0.644878i | ||||
\(615\) | −25.9177 | + | 32.3176i | −1.04510 | + | 1.30317i | ||||
\(616\) | −6.42060 | + | 18.2537i | −0.258693 | + | 0.735461i | ||||
\(617\) | 11.5448 | − | 43.0857i | 0.464776 | − | 1.73457i | −0.192857 | − | 0.981227i | \(-0.561775\pi\) |
0.657632 | − | 0.753339i | \(-0.271558\pi\) | |||||||
\(618\) | −6.08919 | + | 33.8826i | −0.244943 | + | 1.36296i | ||||
\(619\) | 16.3294 | + | 21.2809i | 0.656333 | + | 0.855350i | 0.996376 | − | 0.0850601i | \(-0.0271082\pi\) |
−0.340043 | + | 0.940410i | \(0.610442\pi\) | |||||||
\(620\) | −21.6275 | + | 7.69298i | −0.868580 | + | 0.308957i | ||||
\(621\) | −33.1576 | − | 11.2138i | −1.33057 | − | 0.449994i | ||||
\(622\) | 11.7404 | − | 4.51622i | 0.470749 | − | 0.181084i | ||||
\(623\) | −25.9944 | − | 15.0078i | −1.04144 | − | 0.601277i | ||||
\(624\) | −0.321548 | + | 1.23735i | −0.0128722 | + | 0.0495338i | ||||
\(625\) | −21.3063 | + | 12.3012i | −0.852253 | + | 0.492048i | ||||
\(626\) | −18.8938 | + | 23.3655i | −0.755149 | + | 0.933875i | ||||
\(627\) | 2.50236 | + | 4.55713i | 0.0999344 | + | 0.181994i | ||||
\(628\) | −4.32219 | + | 2.97953i | −0.172474 | + | 0.118896i | ||||
\(629\) | −20.1802 | + | 48.7192i | −0.804636 | + | 1.94256i | ||||
\(630\) | −17.3349 | − | 1.18681i | −0.690637 | − | 0.0472835i | ||||
\(631\) | −27.0218 | − | 27.0218i | −1.07572 | − | 1.07572i | −0.996888 | − | 0.0788323i | \(-0.974881\pi\) |
−0.0788323 | − | 0.996888i | \(-0.525119\pi\) | |||||||
\(632\) | −9.72814 | − | 2.04631i | −0.386965 | − | 0.0813980i | ||||
\(633\) | −15.1818 | + | 5.91045i | −0.603422 | + | 0.234919i | ||||
\(634\) | 4.81234 | − | 2.61728i | 0.191122 | − | 0.103945i | ||||
\(635\) | 33.7270 | − | 4.44025i | 1.33842 | − | 0.176206i | ||||
\(636\) | −20.9869 | + | 6.96198i | −0.832184 | + | 0.276060i | ||||
\(637\) | 0.0865194 | − | 0.657180i | 0.00342802 | − | 0.0260384i | ||||
\(638\) | −4.89448 | + | 11.0141i | −0.193774 | + | 0.436051i | ||||
\(639\) | 1.13607 | − | 3.61264i | 0.0449424 | − | 0.142914i | ||||
\(640\) | −24.7013 | − | 4.45232i | −0.976406 | − | 0.175993i | ||||
\(641\) | −7.01791 | − | 4.05179i | −0.277191 | − | 0.160036i | 0.354960 | − | 0.934881i | \(-0.384494\pi\) |
−0.632151 | + | 0.774845i | \(0.717828\pi\) | |||||||
\(642\) | −11.3742 | + | 35.6656i | −0.448903 | + | 1.40761i | ||||
\(643\) | 1.58143 | − | 2.06096i | 0.0623656 | − | 0.0812764i | −0.761129 | − | 0.648600i | \(-0.775355\pi\) |
0.823495 | + | 0.567324i | \(0.192021\pi\) | |||||||
\(644\) | −23.6643 | − | 7.65217i | −0.932503 | − | 0.301538i | ||||
\(645\) | −1.69060 | − | 6.89769i | −0.0665674 | − | 0.271596i | ||||
\(646\) | 3.33733 | − | 5.45465i | 0.131306 | − | 0.214610i | ||||
\(647\) | −17.0092 | − | 17.0092i | −0.668700 | − | 0.668700i | 0.288715 | − | 0.957415i | \(-0.406772\pi\) |
−0.957415 | + | 0.288715i | \(0.906772\pi\) | |||||||
\(648\) | −24.3703 | − | 7.35448i | −0.957356 | − | 0.288911i | ||||
\(649\) | 17.9788 | − | 17.9788i | 0.705730 | − | 0.705730i | ||||
\(650\) | 0.00478349 | + | 0.0198631i | 0.000187624 | + | 0.000779094i | ||||
\(651\) | −16.0665 | + | 3.93786i | −0.629697 | + | 0.154337i | ||||
\(652\) | 33.2361 | − | 2.66283i | 1.30162 | − | 0.104284i | ||||
\(653\) | 20.9605 | + | 16.0836i | 0.820248 | + | 0.629398i | 0.931233 | − | 0.364424i | \(-0.118734\pi\) |
−0.110985 | + | 0.993822i | \(0.535401\pi\) | |||||||
\(654\) | 28.3796 | − | 14.6552i | 1.10973 | − | 0.573065i | ||||
\(655\) | −15.3754 | + | 26.6309i | −0.600765 | + | 1.04056i | ||||
\(656\) | −33.4371 | + | 27.2331i | −1.30550 | + | 1.06327i | ||||
\(657\) | 38.3502 | + | 12.0601i | 1.49618 | + | 0.470508i | ||||
\(658\) | 8.46782 | + | 22.0131i | 0.330110 | + | 0.858159i | ||||
\(659\) | −24.9217 | − | 3.28101i | −0.970813 | − | 0.127810i | −0.371594 | − | 0.928395i | \(-0.621189\pi\) |
−0.599219 | + | 0.800585i | \(0.704522\pi\) | |||||||
\(660\) | 2.05994 | − | 28.4055i | 0.0801831 | − | 1.10568i | ||||
\(661\) | 4.13620 | + | 31.4176i | 0.160880 | + | 1.22200i | 0.861235 | + | 0.508208i | \(0.169692\pi\) |
−0.700355 | + | 0.713795i | \(0.746975\pi\) | |||||||
\(662\) | 39.6822 | + | 11.7240i | 1.54229 | + | 0.455667i | ||||
\(663\) | 0.647313 | + | 1.66271i | 0.0251395 | + | 0.0645743i | ||||
\(664\) | −3.72344 | − | 19.8557i | −0.144498 | − | 0.770552i | ||||
\(665\) | −2.34556 | + | 2.34556i | −0.0909570 | + | 0.0909570i | ||||
\(666\) | 30.2075 | − | 26.3363i | 1.17052 | − | 1.02051i | ||||
\(667\) | −14.3122 | − | 5.92830i | −0.554170 | − | 0.229545i | ||||
\(668\) | −36.6310 | − | 23.7152i | −1.41730 | − | 0.917568i | ||||
\(669\) | −30.4510 | + | 16.7209i | −1.17730 | + | 0.646466i | ||||
\(670\) | −9.46518 | + | 1.00157i | −0.365672 | + | 0.0386940i | ||||
\(671\) | −10.4156 | − | 18.0404i | −0.402091 | − | 0.696443i | ||||
\(672\) | −17.3844 | − | 4.99369i | −0.670619 | − | 0.192636i | ||||
\(673\) | −13.9741 | + | 24.2039i | −0.538662 | + | 0.932991i | 0.460314 | + | 0.887756i | \(0.347737\pi\) |
−0.998976 | + | 0.0452346i | \(0.985596\pi\) | |||||||
\(674\) | −3.97107 | + | 8.93609i | −0.152960 | + | 0.344205i | ||||
\(675\) | −0.398904 | + | 0.0798148i | −0.0153538 | + | 0.00307207i | ||||
\(676\) | 25.8982 | + | 1.32070i | 0.996086 | + | 0.0507963i | ||||
\(677\) | −5.57459 | + | 4.27754i | −0.214249 | + | 0.164399i | −0.710311 | − | 0.703888i | \(-0.751446\pi\) |
0.496062 | + | 0.868287i | \(0.334779\pi\) | |||||||
\(678\) | −18.0159 | + | 12.5269i | −0.691895 | + | 0.481093i | ||||
\(679\) | 2.79040 | + | 0.747685i | 0.107086 | + | 0.0286935i | ||||
\(680\) | −31.5856 | + | 15.1475i | −1.21125 | + | 0.580881i | ||||
\(681\) | 30.4841 | + | 24.4473i | 1.16815 | + | 0.936821i | ||||
\(682\) | −6.34824 | − | 26.3605i | −0.243087 | − | 1.00940i | ||||
\(683\) | −2.89298 | − | 1.19831i | −0.110697 | − | 0.0458521i | 0.326648 | − | 0.945146i | \(-0.394081\pi\) |
−0.437344 | + | 0.899294i | \(0.644081\pi\) | |||||||
\(684\) | −4.11573 | + | 2.58417i | −0.157369 | + | 0.0988083i | ||||
\(685\) | 3.06414 | + | 7.39748i | 0.117075 | + | 0.282643i | ||||
\(686\) | 27.3154 | + | 4.30663i | 1.04291 | + | 0.164428i | ||||
\(687\) | −11.8250 | + | 26.9017i | −0.451150 | + | 1.02636i | ||||
\(688\) | −0.214335 | − | 7.38976i | −0.00817143 | − | 0.281732i | ||||
\(689\) | −0.588927 | − | 1.02005i | −0.0224363 | − | 0.0388609i | ||||
\(690\) | 36.5656 | + | 1.71679i | 1.39203 | + | 0.0653570i | ||||
\(691\) | −1.23764 | + | 9.40079i | −0.0470819 | + | 0.357623i | 0.951646 | + | 0.307197i | \(0.0993911\pi\) |
−0.998728 | + | 0.0504256i | \(0.983942\pi\) | |||||||
\(692\) | 40.2501 | + | 19.1288i | 1.53008 | + | 0.727168i | ||||
\(693\) | 3.54870 | − | 20.2146i | 0.134804 | − | 0.767888i | ||||
\(694\) | 16.3396 | − | 15.5276i | 0.620242 | − | 0.589418i | ||||
\(695\) | −5.45210 | − | 20.3475i | −0.206810 | − | 0.771825i | ||||
\(696\) | −10.5453 | − | 3.96530i | −0.399720 | − | 0.150304i | ||||
\(697\) | −15.5773 | + | 58.1353i | −0.590032 | + | 2.20203i | ||||
\(698\) | 7.46058 | + | 13.7176i | 0.282387 | + | 0.519220i | ||||
\(699\) | 9.30413 | − | 2.28041i | 0.351914 | − | 0.0862532i | ||||
\(700\) | −0.282654 | + | 0.0604961i | −0.0106833 | + | 0.00228654i | ||||
\(701\) | 1.98553 | + | 4.79349i | 0.0749924 | + | 0.181048i | 0.956930 | − | 0.290318i | \(-0.0937611\pi\) |
−0.881938 | + | 0.471366i | \(0.843761\pi\) | |||||||
\(702\) | 0.121602 | − | 1.35054i | 0.00458958 | − | 0.0509728i | ||||
\(703\) | − | 7.65088i | − | 0.288558i | ||||||
\(704\) | 8.30009 | − | 28.4616i | 0.312822 | − | 1.07269i | ||||
\(705\) | −20.5374 | − | 27.9875i | −0.773485 | − | 1.05407i | ||||
\(706\) | −28.4610 | + | 3.01164i | −1.07115 | + | 0.113344i | ||||
\(707\) | −15.1907 | − | 11.6563i | −0.571306 | − | 0.438379i | ||||
\(708\) | 17.7597 | + | 15.7943i | 0.667450 | + | 0.593586i | ||||
\(709\) | −23.8411 | − | 31.0704i | −0.895372 | − | 1.16687i | −0.985285 | − | 0.170922i | \(-0.945325\pi\) |
0.0899124 | − | 0.995950i | \(-0.471341\pi\) | |||||||
\(710\) | −0.100887 | + | 3.95925i | −0.00378623 | + | 0.148588i | ||||
\(711\) | 10.5344 | + | 0.452002i | 0.395069 | + | 0.0169514i | ||||
\(712\) | 41.0203 | + | 20.7919i | 1.53730 | + | 0.779209i | ||||
\(713\) | 33.6627 | − | 9.01990i | 1.26068 | − | 0.337798i | ||||
\(714\) | −23.7496 | + | 8.55593i | −0.888805 | + | 0.320198i | ||||
\(715\) | 1.50412 | − | 0.198022i | 0.0562510 | − | 0.00740559i | ||||
\(716\) | 19.0851 | − | 1.52907i | 0.713242 | − | 0.0571440i | ||||
\(717\) | −0.873260 | + | 40.7231i | −0.0326125 | + | 1.52083i | ||||
\(718\) | −4.58862 | − | 0.723455i | −0.171246 | − | 0.0269991i | ||||
\(719\) | 11.4778i | 0.428051i | 0.976828 | + | 0.214025i | \(0.0686575\pi\) | ||||
−0.976828 | + | 0.214025i | \(0.931342\pi\) | |||||||
\(720\) | 26.6193 | + | 0.369632i | 0.992044 | + | 0.0137754i | ||||
\(721\) | − | 25.9445i | − | 0.966224i | ||||||
\(722\) | 4.04023 | − | 25.6257i | 0.150362 | − | 0.953692i | ||||
\(723\) | 18.9237 | − | 10.3912i | 0.703781 | − | 0.386452i | ||||
\(724\) | −4.96287 | + | 5.82737i | −0.184444 | + | 0.216572i | ||||
\(725\) | −0.178505 | + | 0.0235007i | −0.00662952 | + | 0.000872793i | ||||
\(726\) | 6.59049 | + | 1.18440i | 0.244596 | + | 0.0439574i | ||||
\(727\) | −22.8651 | + | 6.12670i | −0.848021 | + | 0.227227i | −0.656560 | − | 0.754274i | \(-0.727989\pi\) |
−0.191461 | + | 0.981500i | \(0.561323\pi\) | |||||||
\(728\) | 0.0735661 | − | 0.960684i | 0.00272654 | − | 0.0356053i | ||||
\(729\) | 26.7769 | + | 3.46380i | 0.991737 | + | 0.128289i | ||||
\(730\) | −42.0297 | − | 1.07097i | −1.55559 | − | 0.0396385i | ||||
\(731\) | −6.28111 | − | 8.18570i | −0.232315 | − | 0.302759i | ||||
\(732\) | 16.2652 | − | 10.7055i | 0.601179 | − | 0.395686i | ||||
\(733\) | 36.6110 | + | 28.0926i | 1.35226 | + | 1.03762i | 0.994601 | + | 0.103770i | \(0.0330906\pi\) |
0.357656 | + | 0.933853i | \(0.383576\pi\) | |||||||
\(734\) | −1.31839 | − | 12.4592i | −0.0486625 | − | 0.459878i | ||||
\(735\) | −13.7203 | + | 1.50784i | −0.506081 | + | 0.0556175i | ||||
\(736\) | 36.8420 | + | 9.73291i | 1.35801 | + | 0.358760i | ||||
\(737\) | − | 11.2426i | − | 0.414127i | ||||||
\(738\) | 30.2583 | − | 34.3013i | 1.11382 | − | 1.26265i | ||||
\(739\) | 8.18299 | + | 19.7555i | 0.301016 | + | 0.726717i | 0.999934 | + | 0.0115149i | \(0.00366538\pi\) |
−0.698918 | + | 0.715202i | \(0.746335\pi\) | |||||||
\(740\) | −22.7773 | + | 35.1823i | −0.837311 | + | 1.29333i | ||||
\(741\) | −0.179084 | − | 0.186933i | −0.00657883 | − | 0.00686717i | ||||
\(742\) | 14.6392 | − | 7.96177i | 0.537421 | − | 0.292286i | ||||
\(743\) | −2.50240 | + | 9.33908i | −0.0918042 | + | 0.342618i | −0.996516 | − | 0.0834072i | \(-0.973420\pi\) |
0.904711 | + | 0.426025i | \(0.140086\pi\) | |||||||
\(744\) | 24.2515 | − | 7.36472i | 0.889102 | − | 0.270004i | ||||
\(745\) | 0.655347 | + | 2.44579i | 0.0240101 | + | 0.0896068i | ||||
\(746\) | −15.0796 | − | 15.8682i | −0.552105 | − | 0.580978i | ||||
\(747\) | 7.34371 | + | 20.1296i | 0.268692 | + | 0.736502i | ||||
\(748\) | −13.8668 | − | 38.9842i | −0.507022 | − | 1.42540i | ||||
\(749\) | 3.68252 | − | 27.9715i | 0.134556 | − | 1.02206i | ||||
\(750\) | 24.5199 | − | 12.6621i | 0.895342 | − | 0.462355i | ||||
\(751\) | 20.8932 | + | 36.1881i | 0.762404 | + | 1.32052i | 0.941608 | + | 0.336711i | \(0.109314\pi\) |
−0.179204 | + | 0.983812i | \(0.557352\pi\) | |||||||
\(752\) | −14.7911 | − | 32.9711i | −0.539376 | − | 1.20233i | ||||
\(753\) | −8.32569 | − | 11.3459i | −0.303405 | − | 0.413466i | ||||
\(754\) | 0.0934650 | − | 0.592816i | 0.00340379 | − | 0.0215891i | ||||
\(755\) | 3.34887 | + | 8.08488i | 0.121878 | + | 0.294239i | ||||
\(756\) | 19.0573 | + | 2.20658i | 0.693107 | + | 0.0802526i | ||||
\(757\) | −0.0469633 | − | 0.0194528i | −0.00170691 | − | 0.000707025i | 0.381830 | − | 0.924233i | \(-0.375294\pi\) |
−0.383537 | + | 0.923526i | \(0.625294\pi\) | |||||||
\(758\) | 2.43040 | − | 0.585297i | 0.0882761 | − | 0.0212590i | ||||
\(759\) | −6.56152 | + | 42.7378i | −0.238168 | + | 1.55128i | ||||
\(760\) | 3.39278 | − | 3.78411i | 0.123069 | − | 0.137264i | ||||
\(761\) | 6.75829 | + | 1.81088i | 0.244988 | + | 0.0656443i | 0.379223 | − | 0.925305i | \(-0.376191\pi\) |
−0.134236 | + | 0.990949i | \(0.542858\pi\) | |||||||
\(762\) | −37.4278 | + | 3.15072i | −1.35586 | + | 0.114138i | ||||
\(763\) | −19.0972 | + | 14.6538i | −0.691365 | + | 0.530503i | ||||
\(764\) | −7.56278 | − | 8.37557i | −0.273612 | − | 0.303018i | ||||
\(765\) | 30.4194 | − | 21.3340i | 1.09982 | − | 0.771334i | ||||
\(766\) | −29.9712 | − | 13.3188i | −1.08290 | − | 0.481226i | ||||
\(767\) | −0.633018 | + | 1.09642i | −0.0228570 | + | 0.0395894i | ||||
\(768\) | 27.0128 | + | 6.18959i | 0.974739 | + | 0.223348i | ||||
\(769\) | −18.3340 | − | 31.7554i | −0.661141 | − | 1.14513i | −0.980316 | − | 0.197434i | \(-0.936739\pi\) |
0.319175 | − | 0.947696i | \(-0.396594\pi\) | |||||||
\(770\) | 2.25861 | + | 21.3447i | 0.0813947 | + | 0.769209i | ||||
\(771\) | −0.874686 | + | 40.7896i | −0.0315011 | + | 1.46900i | ||||
\(772\) | 40.3316 | − | 8.63212i | 1.45157 | − | 0.310677i | ||||
\(773\) | −39.2495 | − | 16.2577i | −1.41171 | − | 0.584748i | −0.458944 | − | 0.888465i | \(-0.651772\pi\) |
−0.952762 | + | 0.303717i | \(0.901772\pi\) | |||||||
\(774\) | 1.50740 | + | 7.69506i | 0.0541824 | + | 0.276593i | ||||
\(775\) | 0.286406 | − | 0.286406i | 0.0102880 | − | 0.0102880i | ||||
\(776\) | −4.33136 | − | 0.911102i | −0.155487 | − | 0.0327067i | ||||
\(777\) | −18.8959 | + | 23.5620i | −0.677888 | + | 0.845282i | ||||
\(778\) | 3.72233 | − | 12.5989i | 0.133452 | − | 0.451694i | ||||
\(779\) | −1.13978 | − | 8.65747i | −0.0408368 | − | 0.310186i | ||||
\(780\) | 0.266998 | + | 1.39276i | 0.00956007 | + | 0.0498687i | ||||
\(781\) | −4.63813 | − | 0.610621i | −0.165965 | − | 0.0218497i | ||||
\(782\) | 49.6367 | − | 19.0939i | 1.77500 | − | 0.682795i | ||||
\(783\) | 11.7227 | + | 2.31803i | 0.418933 | + | 0.0828398i | ||||
\(784\) | −14.2940 | − | 1.46167i | −0.510500 | − | 0.0522025i | ||||
\(785\) | −2.91158 | + | 5.04301i | −0.103919 | + | 0.179993i | ||||
\(786\) | 18.3366 | − | 28.5753i | 0.654046 | − | 1.01925i | ||||
\(787\) | −10.1517 | − | 7.78971i | −0.361871 | − | 0.277673i | 0.411783 | − | 0.911282i | \(-0.364906\pi\) |
−0.773653 | + | 0.633609i | \(0.781573\pi\) | |||||||
\(788\) | −7.40574 | + | 8.69578i | −0.263819 | + | 0.309774i | ||||
\(789\) | 13.1703 | − | 45.2485i | 0.468874 | − | 1.61089i | ||||
\(790\) | −10.7206 | + | 2.58176i | −0.381420 | + | 0.0918550i | ||||
\(791\) | 11.6936 | − | 11.6936i | 0.415775 | − | 0.415775i | ||||
\(792\) | −3.74284 | + | 31.2220i | −0.132996 | + | 1.10943i | ||||
\(793\) | 0.733452 | + | 0.733452i | 0.0260456 | + | 0.0260456i | ||||
\(794\) | 6.29763 | + | 3.85310i | 0.223495 | + | 0.136741i | ||||
\(795\) | −17.7111 | + | 16.9675i | −0.628149 | + | 0.601774i | ||||
\(796\) | −9.84333 | − | 19.2516i | −0.348887 | − | 0.682353i | ||||
\(797\) | 13.2278 | − | 17.2387i | 0.468551 | − | 0.610628i | −0.497976 | − | 0.867191i | \(-0.665923\pi\) |
0.966528 | + | 0.256563i | \(0.0825901\pi\) | |||||||
\(798\) | 2.70840 | − | 2.46548i | 0.0958763 | − | 0.0872771i | ||||
\(799\) | −43.6774 | − | 25.2172i | −1.54520 | − | 0.892120i | ||||
\(800\) | 0.427382 | − | 0.116131i | 0.0151102 | − | 0.00410584i | ||||
\(801\) | −46.5319 | − | 14.6330i | −1.64412 | − | 0.517031i | ||||
\(802\) | 38.7189 | + | 17.2061i | 1.36721 | + | 0.607569i | ||||
\(803\) | 6.48208 | − | 49.2363i | 0.228748 | − | 1.73751i | ||||
\(804\) | 10.4911 | − | 0.614507i | 0.369992 | − | 0.0216720i | ||||
\(805\) | −27.3518 | + | 3.60093i | −0.964023 | + | 0.126916i | ||||
\(806\) | 0.645048 | + | 1.18604i | 0.0227209 | + | 0.0417765i | ||||
\(807\) | 4.58897 | − | 29.8898i | 0.161540 | − | 1.05217i | ||||
\(808\) | 24.2124 | + | 16.5656i | 0.851791 | + | 0.582774i | ||||
\(809\) | −18.3637 | − | 18.3637i | −0.645632 | − | 0.645632i | 0.306302 | − | 0.951934i | \(-0.400908\pi\) |
−0.951934 | + | 0.306302i | \(0.900908\pi\) | |||||||
\(810\) | −27.9174 | + | 4.23533i | −0.980916 | + | 0.148814i | ||||
\(811\) | −8.75348 | + | 21.1328i | −0.307376 | + | 0.742072i | 0.692412 | + | 0.721502i | \(0.256548\pi\) |
−0.999788 | + | 0.0205699i | \(0.993452\pi\) | |||||||
\(812\) | 8.35071 | + | 1.53555i | 0.293052 | + | 0.0538873i | ||||
\(813\) | 11.6729 | − | 19.2527i | 0.409387 | − | 0.675221i | ||||
\(814\) | −38.4952 | − | 31.1280i | −1.34926 | − | 1.09104i | ||||
\(815\) | 32.0300 | − | 18.4926i | 1.12196 | − | 0.647766i | ||||
\(816\) | 35.6204 | − | 15.0707i | 1.24696 | − | 0.527582i | ||||
\(817\) | 1.29642 | + | 0.748489i | 0.0453560 | + | 0.0261863i | ||||
\(818\) | 12.1935 | + | 31.6985i | 0.426336 | + | 1.10831i | ||||
\(819\) | 0.0898338 | + | 1.01799i | 0.00313905 | + | 0.0355713i | ||||
\(820\) | −20.5328 | + | 43.2043i | −0.717035 | + | 1.50876i | ||||
\(821\) | −22.8738 | − | 29.8098i | −0.798303 | − | 1.04037i | −0.998165 | − | 0.0605446i | \(-0.980716\pi\) |
0.199863 | − | 0.979824i | \(-0.435950\pi\) | |||||||
\(822\) | −2.99640 | − | 8.31741i | −0.104511 | − | 0.290103i | ||||
\(823\) | 3.32548 | − | 12.4109i | 0.115919 | − | 0.432615i | −0.883435 | − | 0.468554i | \(-0.844775\pi\) |
0.999354 | + | 0.0359382i | \(0.0114419\pi\) | |||||||
\(824\) | 2.16425 | + | 39.6921i | 0.0753953 | + | 1.38274i | ||||
\(825\) | 0.182313 | + | 0.468295i | 0.00634732 | + | 0.0163039i | ||||
\(826\) | −15.2789 | − | 9.34813i | −0.531621 | − | 0.325263i | ||||
\(827\) | 15.9435 | − | 38.4909i | 0.554408 | − | 1.33846i | −0.359730 | − | 0.933057i | \(-0.617131\pi\) |
0.914138 | − | 0.405403i | \(-0.132869\pi\) | |||||||
\(828\) | −40.2396 | − | 3.78692i | −1.39842 | − | 0.131605i | ||||
\(829\) | 8.82343 | − | 3.65478i | 0.306450 | − | 0.126936i | −0.224158 | − | 0.974553i | \(-0.571963\pi\) |
0.530609 | + | 0.847617i | \(0.321963\pi\) | |||||||
\(830\) | −13.1843 | − | 18.1198i | −0.457635 | − | 0.628949i | ||||
\(831\) | 0.678561 | + | 6.17444i | 0.0235390 | + | 0.214189i | ||||
\(832\) | −0.0324089 | + | 1.47587i | −0.00112358 | + | 0.0511667i | ||||
\(833\) | −17.3668 | + | 10.0267i | −0.601723 | + | 0.347405i | ||||
\(834\) | 4.95952 | + | 22.7238i | 0.171734 | + | 0.786860i | ||||
\(835\) | −47.9908 | − | 6.31810i | −1.66079 | − | 0.218647i | ||||
\(836\) | 4.02323 | + | 4.45562i | 0.139146 | + | 0.154101i | ||||
\(837\) | −24.0968 | + | 11.9170i | −0.832906 | + | 0.411913i | ||||
\(838\) | 1.03313 | + | 0.0263256i | 0.0356889 | + | 0.000909403i | ||||
\(839\) | 2.31228 | − | 0.619573i | 0.0798287 | − | 0.0213900i | −0.218684 | − | 0.975796i | \(-0.570176\pi\) |
0.298512 | + | 0.954406i | \(0.403510\pi\) | |||||||
\(840\) | −19.7944 | + | 3.27431i | −0.682973 | + | 0.112974i | ||||
\(841\) | −22.9034 | − | 6.13695i | −0.789772 | − | 0.211619i | ||||
\(842\) | −52.0781 | − | 15.3864i | −1.79473 | − | 0.530249i | ||||
\(843\) | −25.9801 | − | 7.56192i | −0.894803 | − | 0.260446i | ||||
\(844\) | −15.4885 | + | 10.6771i | −0.533136 | + | 0.367520i | ||||
\(845\) | 26.5753 | − | 11.0078i | 0.914217 | − | 0.378681i | ||||
\(846\) | 21.2017 | + | 31.9311i | 0.728928 | + | 1.09781i | ||||
\(847\) | −5.04645 | −0.173398 | ||||||||
\(848\) | −21.7321 | + | 13.4018i | −0.746283 | + | 0.460219i | ||||
\(849\) | −27.3127 | − | 12.0056i | −0.937369 | − | 0.412032i | ||||
\(850\) | 0.388647 | − | 0.480630i | 0.0133305 | − | 0.0164855i | ||||
\(851\) | 38.7359 | − | 50.4816i | 1.32785 | − | 1.73049i | ||||
\(852\) | 0.316290 | − | 4.36147i | 0.0108359 | − | 0.149421i | ||||
\(853\) | 2.30831 | − | 1.77123i | 0.0790350 | − | 0.0606457i | −0.568488 | − | 0.822691i | \(-0.692472\pi\) |
0.647523 | + | 0.762046i | \(0.275805\pi\) | |||||||
\(854\) | −10.6378 | + | 10.1091i | −0.364017 | + | 0.345927i | ||||
\(855\) | −2.89298 | + | 4.54861i | −0.0989378 | + | 0.155559i | ||||
\(856\) | −3.30049 | + | 43.1004i | −0.112808 | + | 1.47314i | ||||
\(857\) | 2.77789 | + | 10.3672i | 0.0948909 | + | 0.354138i | 0.997003 | − | 0.0773644i | \(-0.0246505\pi\) |
−0.902112 | + | 0.431502i | \(0.857984\pi\) | |||||||
\(858\) | −1.66916 | + | 0.140512i | −0.0569843 | + | 0.00479701i | ||||
\(859\) | 6.85162 | + | 52.0432i | 0.233774 | + | 1.77569i | 0.558128 | + | 0.829755i | \(0.311520\pi\) |
−0.324354 | + | 0.945936i | \(0.605147\pi\) | |||||||
\(860\) | −3.73324 | − | 7.30146i | −0.127302 | − | 0.248978i | ||||
\(861\) | −17.8719 | + | 29.4769i | −0.609072 | + | 1.00457i | ||||
\(862\) | 12.4731 | + | 17.1423i | 0.424835 | + | 0.583871i | ||||
\(863\) | −7.25508 | −0.246966 | −0.123483 | − | 0.992347i | \(-0.539406\pi\) | ||||
−0.123483 | + | 0.992347i | \(0.539406\pi\) | |||||||
\(864\) | −29.3396 | − | 1.78609i | −0.998152 | − | 0.0607639i | ||||
\(865\) | 49.4329 | 1.68077 | ||||||||
\(866\) | 22.3402 | + | 30.7032i | 0.759151 | + | 1.04334i | ||||
\(867\) | 12.7203 | − | 20.9802i | 0.432004 | − | 0.712525i | ||||
\(868\) | −17.0070 | + | 8.69570i | −0.577256 | + | 0.295151i | ||||
\(869\) | −1.70011 | − | 12.9136i | −0.0576723 | − | 0.438065i | ||||
\(870\) | −12.4530 | + | 1.04831i | −0.422195 | + | 0.0355409i | ||||
\(871\) | 0.144888 | + | 0.540731i | 0.00490936 | + | 0.0183220i | ||||
\(872\) | 27.9942 | − | 24.0117i | 0.948002 | − | 0.813139i | ||||
\(873\) | 4.69033 | + | 0.201250i | 0.158744 | + | 0.00681127i | ||||
\(874\) | −5.59329 | + | 5.31532i | −0.189196 | + | 0.179793i | ||||
\(875\) | −16.5000 | + | 12.6609i | −0.557801 | + | 0.428016i | ||||
\(876\) | 46.2994 | + | 3.35759i | 1.56431 | + | 0.113442i | ||||
\(877\) | 33.9050 | − | 44.1859i | 1.14489 | − | 1.49205i | 0.302529 | − | 0.953140i | \(-0.402169\pi\) |
0.842363 | − | 0.538911i | \(-0.181164\pi\) | |||||||
\(878\) | 5.75751 | − | 7.12018i | 0.194307 | − | 0.240294i | ||||
\(879\) | 10.2109 | + | 4.48833i | 0.344406 | + | 0.151388i | ||||
\(880\) | −5.23596 | − | 32.4665i | −0.176504 | − | 1.09445i | ||||
\(881\) | 5.20008 | 0.175195 | 0.0875976 | − | 0.996156i | \(-0.472081\pi\) | ||||
0.0875976 | + | 0.996156i | \(0.472081\pi\) | |||||||
\(882\) | 15.2103 | − | 0.952537i | 0.512158 | − | 0.0320736i | ||||
\(883\) | −18.3299 | + | 7.59247i | −0.616849 | + | 0.255507i | −0.669154 | − | 0.743124i | \(-0.733343\pi\) |
0.0523050 | + | 0.998631i | \(0.483343\pi\) | |||||||
\(884\) | 1.16935 | + | 1.69630i | 0.0393297 | + | 0.0570527i | ||||
\(885\) | 25.3129 | + | 7.36772i | 0.850885 | + | 0.247663i | ||||
\(886\) | −29.5786 | − | 8.73893i | −0.993712 | − | 0.293590i | ||||
\(887\) | 15.8339 | + | 4.24268i | 0.531650 | + | 0.142455i | 0.514650 | − | 0.857400i | \(-0.327922\pi\) |
0.0170000 | + | 0.999855i | \(0.494588\pi\) | |||||||
\(888\) | 26.9431 | − | 37.6234i | 0.904152 | − | 1.26256i | ||||
\(889\) | 27.3424 | − | 7.32638i | 0.917035 | − | 0.245719i | ||||
\(890\) | 50.9963 | + | 1.29946i | 1.70940 | + | 0.0435579i | ||||
\(891\) | −1.50496 | − | 33.3191i | −0.0504181 | − | 1.11623i | ||||
\(892\) | −29.7727 | + | 26.8835i | −0.996863 | + | 0.900125i | ||||
\(893\) | 7.25473 | + | 0.955104i | 0.242770 | + | 0.0319613i | ||||
\(894\) | −0.596139 | − | 2.73142i | −0.0199379 | − | 0.0913522i | ||||
\(895\) | 18.3925 | − | 10.6189i | 0.614794 | − | 0.354952i | ||||
\(896\) | −20.8621 | − | 0.990263i | −0.696953 | − | 0.0330824i | ||||
\(897\) | −0.235194 | − | 2.14010i | −0.00785290 | − | 0.0714560i | ||||
\(898\) | −18.4544 | − | 25.3627i | −0.615831 | − | 0.846365i | ||||
\(899\) | −10.9920 | + | 4.55303i | −0.366603 | + | 0.151852i | ||||
\(900\) | −0.427027 | + | 0.195723i | −0.0142342 | + | 0.00652408i | ||||
\(901\) | −13.6365 | + | 32.9215i | −0.454298 | + | 1.09677i | ||||
\(902\) | −48.1971 | − | 29.4886i | −1.60479 | − | 0.981861i | ||||
\(903\) | −2.14392 | − | 5.50695i | −0.0713451 | − | 0.183260i | ||||
\(904\) | −16.9143 | + | 18.8653i | −0.562563 | + | 0.627449i | ||||
\(905\) | −2.19750 | + | 8.20120i | −0.0730475 | + | 0.272617i | ||||
\(906\) | −3.27484 | − | 9.09029i | −0.108799 | − | 0.302005i | ||||
\(907\) | −15.9379 | − | 20.7707i | −0.529209 | − | 0.689679i | 0.449885 | − | 0.893086i | \(-0.351465\pi\) |
−0.979094 | + | 0.203408i | \(0.934798\pi\) | |||||||
\(908\) | 40.7532 | + | 19.3679i | 1.35244 | + | 0.642745i | ||||
\(909\) | −28.2111 | − | 13.1292i | −0.935703 | − | 0.435469i | ||||
\(910\) | −0.383710 | − | 0.997498i | −0.0127199 | − | 0.0330668i | ||||
\(911\) | −2.94043 | − | 1.69766i | −0.0974207 | − | 0.0562459i | 0.450498 | − | 0.892777i | \(-0.351246\pi\) |
−0.547919 | + | 0.836532i | \(0.684580\pi\) | |||||||
\(912\) | −3.93788 | + | 3.99784i | −0.130396 | + | 0.132382i | ||||
\(913\) | 22.9229 | − | 13.2346i | 0.758638 | − | 0.438000i | ||||
\(914\) | 18.5004 | + | 14.9598i | 0.611939 | + | 0.494826i | ||||
\(915\) | 11.1982 | − | 18.4698i | 0.370202 | − | 0.610592i | ||||
\(916\) | −6.13661 | + | 33.3724i | −0.202759 | + | 1.10266i | ||||
\(917\) | −9.79216 | + | 23.6404i | −0.323366 | + | 0.780673i | ||||
\(918\) | −34.6546 | + | 21.9543i | −1.14377 | + | 0.724599i | ||||
\(919\) | 8.52265 | + | 8.52265i | 0.281136 | + | 0.281136i | 0.833562 | − | 0.552426i | \(-0.186298\pi\) |
−0.552426 | + | 0.833562i | \(0.686298\pi\) | |||||||
\(920\) | 41.5447 | − | 7.79065i | 1.36969 | − | 0.256850i | ||||
\(921\) | −3.48167 | + | 22.6775i | −0.114725 | + | 0.747249i | ||||
\(922\) | −7.43543 | − | 13.6714i | −0.244873 | − | 0.450244i | ||||
\(923\) | 0.230948 | − | 0.0304048i | 0.00760173 | − | 0.00100079i | ||||
\(924\) | −1.38576 | − | 23.6582i | −0.0455881 | − | 0.778297i | ||||
\(925\) | 0.0965287 | − | 0.733208i | 0.00317384 | − | 0.0241077i | ||||
\(926\) | −22.1823 | − | 9.85751i | −0.728957 | − | 0.323938i | ||||
\(927\) | −9.15657 | − | 41.1561i | −0.300741 | − | 1.35174i | ||||
\(928\) | −12.9037 | − | 1.65262i | −0.423585 | − | 0.0542498i | ||||
\(929\) | −17.7887 | − | 10.2703i | −0.583628 | − | 0.336958i | 0.178946 | − | 0.983859i | \(-0.442731\pi\) |
−0.762574 | + | 0.646901i | \(0.776065\pi\) | |||||||
\(930\) | 20.7900 | − | 18.9253i | 0.681732 | − | 0.620587i | ||||
\(931\) | 1.77118 | − | 2.30824i | 0.0580480 | − | 0.0756496i | ||||
\(932\) | 9.84876 | − | 5.03568i | 0.322607 | − | 0.164949i | ||||
\(933\) | −11.1249 | + | 10.6578i | −0.364212 | + | 0.348920i | ||||
\(934\) | −1.21640 | − | 0.744234i | −0.0398018 | − | 0.0243521i | ||||
\(935\) | −32.4543 | − | 32.4543i | −1.06137 | − | 1.06137i | ||||
\(936\) | −0.222354 | − | 1.54991i | −0.00726788 | − | 0.0506603i | ||||
\(937\) | −28.2853 | + | 28.2853i | −0.924042 | + | 0.924042i | −0.997312 | − | 0.0732704i | \(-0.976656\pi\) |
0.0732704 | + | 0.997312i | \(0.476656\pi\) | |||||||
\(938\) | −7.69995 | + | 1.85433i | −0.251412 | + | 0.0605460i | ||||
\(939\) | 10.2850 | − | 35.3356i | 0.335638 | − | 1.15313i | ||||
\(940\) | −30.5172 | − | 25.9900i | −0.995363 | − | 0.847699i | ||||
\(941\) | −7.69889 | − | 5.90757i | −0.250977 | − | 0.192581i | 0.475609 | − | 0.879657i | \(-0.342228\pi\) |
−0.726586 | + | 0.687075i | \(0.758894\pi\) | |||||||
\(942\) | 3.47235 | − | 5.41121i | 0.113135 | − | 0.176307i | ||||
\(943\) | 36.3117 | − | 62.8938i | 1.18247 | − | 2.04810i | ||||
\(944\) | 24.1548 | + | 13.0270i | 0.786171 | + | 0.423993i | ||||
\(945\) | 20.1434 | − | 6.86311i | 0.655264 | − | 0.223257i | ||||
\(946\) | 9.04056 | − | 3.47765i | 0.293934 | − | 0.113068i | ||||
\(947\) | 15.7794 | + | 2.07739i | 0.512761 | + | 0.0675063i | 0.382467 | − | 0.923969i | \(-0.375075\pi\) |
0.130294 | + | 0.991475i | \(0.458408\pi\) | |||||||
\(948\) | 11.9575 | − | 2.29231i | 0.388361 | − | 0.0744508i | ||||
\(949\) | 0.322764 | + | 2.45164i | 0.0104774 | + | 0.0795835i | ||||
\(950\) | −0.0254095 | + | 0.0860033i | −0.000824392 | + | 0.00279031i | ||||
\(951\) | −4.19747 | + | 5.23397i | −0.136112 | + | 0.169723i | ||||
\(952\) | −24.4128 | + | 15.9272i | −0.791222 | + | 0.516205i | ||||
\(953\) | −16.9581 | + | 16.9581i | −0.549326 | + | 0.549326i | −0.926246 | − | 0.376920i | \(-0.876983\pi\) |
0.376920 | + | 0.926246i | \(0.376983\pi\) | |||||||
\(954\) | 20.4124 | − | 17.7964i | 0.660875 | − | 0.576181i | ||||
\(955\) | −11.5647 | − | 4.79027i | −0.374226 | − | 0.155010i | ||||
\(956\) | 9.84365 | + | 45.9922i | 0.318367 | + | 1.48749i | ||||
\(957\) | 0.316468 | − | 14.7580i | 0.0102299 | − | 0.477058i | ||||
\(958\) | 3.75143 | + | 35.4524i | 0.121203 | + | 1.14541i | ||||
\(959\) | 3.33136 | + | 5.77009i | 0.107575 | + | 0.186326i | ||||
\(960\) | 30.0101 | − | 6.66054i | 0.968571 | − | 0.214968i | ||||
\(961\) | −2.11723 | + | 3.66714i | −0.0682976 | + | 0.118295i | ||||
\(962\) | 2.25265 | + | 1.00104i | 0.0726283 | + | 0.0322750i | ||||
\(963\) | −4.03033 | − | 45.6712i | −0.129876 | − | 1.47173i | ||||
\(964\) | 18.5022 | − | 16.7067i | 0.595916 | − | 0.538087i | ||||
\(965\) | 36.2966 | − | 27.8514i | 1.16843 | − | 0.896567i | ||||
\(966\) | 30.3530 | − | 2.55515i | 0.976591 | − | 0.0822106i | ||||
\(967\) | −28.2050 | − | 7.55751i | −0.907011 | − | 0.243033i | −0.224986 | − | 0.974362i | \(-0.572234\pi\) |
−0.682025 | + | 0.731329i | \(0.738900\pi\) | |||||||
\(968\) | 7.72049 | − | 0.420967i | 0.248146 | − | 0.0135304i | ||||
\(969\) | −1.18848 | + | 7.74106i | −0.0381796 | + | 0.248679i | ||||
\(970\) | −4.77323 | + | 1.14951i | −0.153259 | + | 0.0369084i | ||||
\(971\) | 6.72511 | + | 2.78563i | 0.215819 | + | 0.0893951i | 0.487974 | − | 0.872858i | \(-0.337736\pi\) |
−0.272155 | + | 0.962254i | \(0.587736\pi\) | |||||||
\(972\) | 31.0096 | − | 3.22554i | 0.994634 | − | 0.103459i | ||||
\(973\) | −6.70796 | − | 16.1945i | −0.215047 | − | 0.519170i | ||||
\(974\) | 9.06803 | − | 57.5153i | 0.290558 | − | 1.84291i | ||||
\(975\) | −0.0148037 | − | 0.0201739i | −0.000474099 | − | 0.000646080i | ||||
\(976\) | 15.4313 | − | 16.3532i | 0.493944 | − | 0.523453i | ||||
\(977\) | 7.37740 | + | 12.7780i | 0.236024 | + | 0.408806i | 0.959570 | − | 0.281471i | \(-0.0908223\pi\) |
−0.723546 | + | 0.690276i | \(0.757489\pi\) | |||||||
\(978\) | −36.2838 | + | 18.7370i | −1.16023 | + | 0.599143i | ||||
\(979\) | −7.86498 | + | 59.7405i | −0.251366 | + | 1.90931i | ||||
\(980\) | −15.0165 | + | 5.34144i | −0.479686 | + | 0.170626i | ||||
\(981\) | −25.1224 | + | 29.9855i | −0.802096 | + | 0.957363i | ||||
\(982\) | −32.9698 | − | 34.6939i | −1.05211 | − | 1.10713i | ||||
\(983\) | 0.369477 | + | 1.37891i | 0.0117845 | + | 0.0439803i | 0.971568 | − | 0.236762i | \(-0.0760861\pi\) |
−0.959783 | + | 0.280742i | \(0.909419\pi\) | |||||||
\(984\) | 24.8830 | − | 46.5872i | 0.793241 | − | 1.48514i | ||||
\(985\) | −3.27918 | + | 12.2381i | −0.104483 | + | 0.389937i | ||||
\(986\) | −15.9498 | + | 8.67461i | −0.507947 | + | 0.276256i | ||||
\(987\) | −19.9831 | − | 20.8589i | −0.636069 | − | 0.663947i | ||||
\(988\) | −0.250925 | − | 0.162451i | −0.00798299 | − | 0.00516825i | ||||
\(989\) | 4.76442 | + | 11.5023i | 0.151500 | + | 0.365753i | ||||
\(990\) | 11.1160 | + | 33.0622i | 0.353290 | + | 1.05079i | ||||
\(991\) | 8.19411i | 0.260294i | 0.991495 | + | 0.130147i | \(0.0415450\pi\) | ||||
−0.991495 | + | 0.130147i | \(0.958455\pi\) | |||||||
\(992\) | 25.2934 | − | 14.7221i | 0.803067 | − | 0.467428i | ||||
\(993\) | −50.3741 | + | 5.53603i | −1.59857 | + | 0.175681i | ||||
\(994\) | 0.346794 | + | 3.27733i | 0.0109996 | + | 0.103950i | ||||
\(995\) | −19.0279 | − | 14.6006i | −0.603226 | − | 0.462872i | ||||
\(996\) | 13.6028 | + | 20.6672i | 0.431022 | + | 0.654867i | ||||
\(997\) | 9.54948 | + | 12.4451i | 0.302435 | + | 0.394141i | 0.919705 | − | 0.392611i | \(-0.128428\pi\) |
−0.617270 | + | 0.786752i | \(0.711761\pi\) | |||||||
\(998\) | 23.6494 | + | 0.602620i | 0.748609 | + | 0.0190756i | ||||
\(999\) | −21.6592 | + | 44.0456i | −0.685265 | + | 1.39354i |
(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 | 288.2.bf.a.11.10 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.37 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.22 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.25 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.25 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.22 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.37 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.10 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.10 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.10 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.25 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.25 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.22 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.22 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.37 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.37 | 368 | 3.2 | odd | 2 |