Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(26,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 26.10 | ||
Character | \(\chi\) | \(=\) | 525.26 |
Dual form | 525.2.t.j.101.10 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31176 | + | 0.757344i | 0.927553 | + | 0.535523i | 0.886037 | − | 0.463615i | \(-0.153448\pi\) |
0.0415164 | + | 0.999138i | \(0.486781\pi\) | |||||||
\(3\) | 1.20362 | − | 1.24551i | 0.694911 | − | 0.719096i | ||||
\(4\) | 0.147140 | + | 0.254854i | 0.0735701 | + | 0.127427i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.52214 | − | 0.722254i | 1.02966 | − | 0.294859i | ||||
\(7\) | 2.64468 | + | 0.0753638i | 0.999594 | + | 0.0284849i | ||||
\(8\) | − | 2.58363i | − | 0.913452i | ||||||
\(9\) | −0.102593 | − | 2.99825i | −0.0341975 | − | 0.999415i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.86048 | + | 1.07415i | −0.560957 | + | 0.323869i | −0.753529 | − | 0.657414i | \(-0.771650\pi\) |
0.192573 | + | 0.981283i | \(0.438317\pi\) | |||||||
\(12\) | 0.494525 | + | 0.123483i | 0.142757 | + | 0.0356466i | ||||
\(13\) | 3.48097i | 0.965448i | 0.875773 | + | 0.482724i | \(0.160353\pi\) | ||||
−0.875773 | + | 0.482724i | \(0.839647\pi\) | |||||||
\(14\) | 3.41210 | + | 2.10179i | 0.911923 | + | 0.561727i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.25098 | − | 3.89881i | 0.562745 | − | 0.974703i | ||||
\(17\) | −1.78859 | − | 3.09793i | −0.433797 | − | 0.751359i | 0.563399 | − | 0.826185i | \(-0.309493\pi\) |
−0.997197 | + | 0.0748259i | \(0.976160\pi\) | |||||||
\(18\) | 2.13613 | − | 4.01067i | 0.503490 | − | 0.945324i | ||||
\(19\) | 1.05858 | + | 0.611171i | 0.242855 | + | 0.140212i | 0.616488 | − | 0.787364i | \(-0.288555\pi\) |
−0.373633 | + | 0.927576i | \(0.621888\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.27706 | − | 3.20326i | 0.715112 | − | 0.699010i | ||||
\(22\) | −3.25401 | −0.693757 | ||||||||
\(23\) | 1.31176 | + | 0.757344i | 0.273521 | + | 0.157917i | 0.630486 | − | 0.776200i | \(-0.282855\pi\) |
−0.356966 | + | 0.934117i | \(0.616189\pi\) | |||||||
\(24\) | −3.21794 | − | 3.10972i | −0.656860 | − | 0.634768i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.63629 | + | 4.56619i | −0.517020 | + | 0.895504i | ||||
\(27\) | −3.85783 | − | 3.48097i | −0.742439 | − | 0.669913i | ||||
\(28\) | 0.369932 | + | 0.685096i | 0.0699105 | + | 0.129471i | ||||
\(29\) | 5.95645i | 1.10608i | 0.833153 | + | 0.553042i | \(0.186533\pi\) | ||||
−0.833153 | + | 0.553042i | \(0.813467\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.75098 | − | 1.58828i | 0.494091 | − | 0.285263i | −0.232179 | − | 0.972673i | \(-0.574586\pi\) |
0.726270 | + | 0.687410i | \(0.241252\pi\) | |||||||
\(32\) | 1.43050 | − | 0.825899i | 0.252879 | − | 0.146000i | ||||
\(33\) | −0.901451 | + | 3.61012i | −0.156923 | + | 0.628442i | ||||
\(34\) | − | 5.41832i | − | 0.929234i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.749020 | − | 0.467309i | 0.124837 | − | 0.0778848i | ||||
\(37\) | −3.90175 | + | 6.75803i | −0.641444 | + | 1.11101i | 0.343667 | + | 0.939092i | \(0.388331\pi\) |
−0.985111 | + | 0.171921i | \(0.945002\pi\) | |||||||
\(38\) | 0.925734 | + | 1.60342i | 0.150174 | + | 0.260109i | ||||
\(39\) | 4.33559 | + | 4.18977i | 0.694249 | + | 0.670900i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 11.8685 | 1.85355 | 0.926773 | − | 0.375622i | \(-0.122571\pi\) | ||||
0.926773 | + | 0.375622i | \(0.122571\pi\) | |||||||
\(42\) | 6.72468 | − | 1.72005i | 1.03764 | − | 0.265409i | ||||
\(43\) | −2.99294 | −0.456419 | −0.228209 | − | 0.973612i | \(-0.573287\pi\) | ||||
−0.228209 | + | 0.973612i | \(0.573287\pi\) | |||||||
\(44\) | −0.547504 | − | 0.316101i | −0.0825393 | − | 0.0476541i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.14714 | + | 1.98691i | 0.169137 | + | 0.292953i | ||||
\(47\) | −3.05084 | + | 5.28420i | −0.445010 | + | 0.770780i | −0.998053 | − | 0.0623727i | \(-0.980133\pi\) |
0.553043 | + | 0.833153i | \(0.313467\pi\) | |||||||
\(48\) | −2.14668 | − | 7.49631i | −0.309847 | − | 1.08200i | ||||
\(49\) | 6.98864 | + | 0.398626i | 0.998377 | + | 0.0569466i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.01129 | − | 1.50103i | −0.841749 | − | 0.210186i | ||||
\(52\) | −0.887140 | + | 0.512191i | −0.123024 | + | 0.0710281i | ||||
\(53\) | −9.72202 | + | 5.61301i | −1.33542 | + | 0.771006i | −0.986125 | − | 0.166006i | \(-0.946913\pi\) |
−0.349297 | + | 0.937012i | \(0.613580\pi\) | |||||||
\(54\) | −2.42425 | − | 7.48790i | −0.329898 | − | 1.01897i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.194713 | − | 6.83288i | 0.0260196 | − | 0.913082i | ||||
\(57\) | 2.03535 | − | 0.582853i | 0.269589 | − | 0.0772008i | ||||
\(58\) | −4.51108 | + | 7.81342i | −0.592334 | + | 1.02595i | ||||
\(59\) | −1.08467 | − | 1.87871i | −0.141213 | − | 0.244587i | 0.786741 | − | 0.617283i | \(-0.211767\pi\) |
−0.927954 | + | 0.372696i | \(0.878433\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.94338 | − | 1.69936i | −0.376861 | − | 0.217581i | 0.299591 | − | 0.954068i | \(-0.403150\pi\) |
−0.676452 | + | 0.736487i | \(0.736483\pi\) | |||||||
\(62\) | 4.81149 | 0.611060 | ||||||||
\(63\) | −0.0453652 | − | 7.93712i | −0.00571548 | − | 0.999984i | ||||
\(64\) | −6.50196 | −0.812745 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.91659 | + | 4.05290i | −0.482099 | + | 0.498877i | ||||
\(67\) | −5.15882 | − | 8.93534i | −0.630250 | − | 1.09163i | −0.987500 | − | 0.157617i | \(-0.949619\pi\) |
0.357250 | − | 0.934009i | \(-0.383714\pi\) | |||||||
\(68\) | 0.526347 | − | 0.911660i | 0.0638290 | − | 0.110555i | ||||
\(69\) | 2.52214 | − | 0.722254i | 0.303630 | − | 0.0869491i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.3968i | 1.23387i | 0.787013 | + | 0.616936i | \(0.211626\pi\) | ||||
−0.787013 | + | 0.616936i | \(0.788374\pi\) | |||||||
\(72\) | −7.74637 | + | 0.265062i | −0.912918 | + | 0.0312378i | ||||
\(73\) | −5.93710 | + | 3.42779i | −0.694885 | + | 0.401192i | −0.805439 | − | 0.592678i | \(-0.798071\pi\) |
0.110555 | + | 0.993870i | \(0.464737\pi\) | |||||||
\(74\) | −10.2363 | + | 5.90993i | −1.18995 | + | 0.687016i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.359711i | 0.0412617i | ||||||||
\(77\) | −5.00133 | + | 2.70057i | −0.569955 | + | 0.307758i | ||||
\(78\) | 2.51414 | + | 8.77950i | 0.284671 | + | 0.994082i | ||||
\(79\) | −0.941421 | + | 1.63059i | −0.105918 | + | 0.183456i | −0.914113 | − | 0.405460i | \(-0.867111\pi\) |
0.808195 | + | 0.588915i | \(0.200445\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.97895 | + | 0.615196i | −0.997661 | + | 0.0683551i | ||||
\(82\) | 15.5686 | + | 8.98853i | 1.71926 | + | 0.992617i | ||||
\(83\) | 9.10486 | 0.999388 | 0.499694 | − | 0.866202i | \(-0.333446\pi\) | ||||
0.499694 | + | 0.866202i | \(0.333446\pi\) | |||||||
\(84\) | 1.29855 | + | 0.363843i | 0.141684 | + | 0.0396985i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.92601 | − | 2.26668i | −0.423353 | − | 0.244423i | ||||
\(87\) | 7.41882 | + | 7.16930i | 0.795380 | + | 0.768630i | ||||
\(88\) | 2.77521 | + | 4.80681i | 0.295839 | + | 0.512407i | ||||
\(89\) | 0.889962 | − | 1.54146i | 0.0943358 | − | 0.163394i | −0.814995 | − | 0.579467i | \(-0.803261\pi\) |
0.909331 | + | 0.416073i | \(0.136594\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.262339 | + | 9.20605i | −0.0275006 | + | 0.965056i | ||||
\(92\) | 0.445743i | 0.0464719i | ||||||||
\(93\) | 1.33292 | − | 5.33806i | 0.138217 | − | 0.553531i | ||||
\(94\) | −8.00392 | + | 4.62107i | −0.825541 | + | 0.476626i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.693113 | − | 2.77577i | 0.0707406 | − | 0.283301i | ||||
\(97\) | 1.32584i | 0.134618i | 0.997732 | + | 0.0673092i | \(0.0214414\pi\) | ||||
−0.997732 | + | 0.0673092i | \(0.978559\pi\) | |||||||
\(98\) | 8.86551 | + | 5.81571i | 0.895552 | + | 0.587475i | ||||
\(99\) | 3.41144 | + | 5.46799i | 0.342863 | + | 0.549553i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.71005 | − | 11.6221i | −0.667675 | − | 1.15645i | −0.978553 | − | 0.205997i | \(-0.933956\pi\) |
0.310878 | − | 0.950450i | \(-0.399377\pi\) | |||||||
\(102\) | −6.74857 | − | 6.52160i | −0.668208 | − | 0.645735i | ||||
\(103\) | 5.01154 | + | 2.89342i | 0.493802 | + | 0.285097i | 0.726150 | − | 0.687536i | \(-0.241308\pi\) |
−0.232348 | + | 0.972633i | \(0.574641\pi\) | |||||||
\(104\) | 8.99355 | 0.881890 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.0039 | −1.65157 | ||||||||
\(107\) | −3.36576 | − | 1.94323i | −0.325381 | − | 0.187859i | 0.328408 | − | 0.944536i | \(-0.393488\pi\) |
−0.653788 | + | 0.756677i | \(0.726821\pi\) | |||||||
\(108\) | 0.319499 | − | 1.49537i | 0.0307438 | − | 0.143893i | ||||
\(109\) | 2.60384 | + | 4.50998i | 0.249403 | + | 0.431978i | 0.963360 | − | 0.268211i | \(-0.0864324\pi\) |
−0.713958 | + | 0.700189i | \(0.753099\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.72097 | + | 12.9938i | 0.353179 | + | 1.23331i | ||||
\(112\) | 6.24695 | − | 10.1415i | 0.590281 | − | 0.958278i | ||||
\(113\) | − | 9.36235i | − | 0.880736i | −0.897817 | − | 0.440368i | \(-0.854848\pi\) | ||
0.897817 | − | 0.440368i | \(-0.145152\pi\) | |||||||
\(114\) | 3.11131 | + | 0.776896i | 0.291401 | + | 0.0727630i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.51803 | + | 0.876432i | −0.140945 | + | 0.0813747i | ||||
\(117\) | 10.4368 | − | 0.357122i | 0.964883 | − | 0.0330159i | ||||
\(118\) | − | 3.28589i | − | 0.302490i | ||||||
\(119\) | −4.49678 | − | 8.32783i | −0.412219 | − | 0.763411i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.19240 | + | 5.52940i | −0.290218 | + | 0.502673i | ||||
\(122\) | −2.57400 | − | 4.45830i | −0.233039 | − | 0.403636i | ||||
\(123\) | 14.2852 | − | 14.7823i | 1.28805 | − | 1.33288i | ||||
\(124\) | 0.809559 | + | 0.467399i | 0.0727006 | + | 0.0419737i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 5.95163 | − | 10.4459i | 0.530213 | − | 0.930599i | ||||
\(127\) | −9.57778 | −0.849891 | −0.424945 | − | 0.905219i | \(-0.639707\pi\) | ||||
−0.424945 | + | 0.905219i | \(0.639707\pi\) | |||||||
\(128\) | −11.3900 | − | 6.57602i | −1.00674 | − | 0.581243i | ||||
\(129\) | −3.60236 | + | 3.72774i | −0.317170 | + | 0.328209i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.72508 | − | 8.18408i | 0.412832 | − | 0.715047i | −0.582366 | − | 0.812927i | \(-0.697873\pi\) |
0.995198 | + | 0.0978802i | \(0.0312062\pi\) | |||||||
\(132\) | −1.05269 | + | 0.301455i | −0.0916253 | + | 0.0262383i | ||||
\(133\) | 2.75354 | + | 1.69613i | 0.238762 | + | 0.147073i | ||||
\(134\) | − | 15.6280i | − | 1.35005i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.00392 | + | 4.62107i | −0.686330 | + | 0.396253i | ||||
\(137\) | 9.27125 | − | 5.35276i | 0.792096 | − | 0.457317i | −0.0486038 | − | 0.998818i | \(-0.515477\pi\) |
0.840700 | + | 0.541501i | \(0.182144\pi\) | |||||||
\(138\) | 3.85543 | + | 0.962706i | 0.328196 | + | 0.0819510i | ||||
\(139\) | 4.11136i | 0.348721i | 0.984682 | + | 0.174360i | \(0.0557858\pi\) | ||||
−0.984682 | + | 0.174360i | \(0.944214\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.90948 | + | 10.1600i | 0.245022 | + | 0.855629i | ||||
\(142\) | −7.87395 | + | 13.6381i | −0.660767 | + | 1.14448i | ||||
\(143\) | −3.73909 | − | 6.47629i | −0.312678 | − | 0.541575i | ||||
\(144\) | −11.9205 | − | 6.34900i | −0.993377 | − | 0.529083i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −10.3841 | −0.859390 | ||||||||
\(147\) | 8.90817 | − | 8.22463i | 0.734733 | − | 0.678356i | ||||
\(148\) | −2.29642 | −0.188764 | ||||||||
\(149\) | −2.20294 | − | 1.27187i | −0.180472 | − | 0.104196i | 0.407042 | − | 0.913409i | \(-0.366560\pi\) |
−0.587514 | + | 0.809214i | \(0.699893\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.80956 | + | 4.86630i | 0.228639 | + | 0.396014i | 0.957405 | − | 0.288749i | \(-0.0932392\pi\) |
−0.728766 | + | 0.684763i | \(0.759906\pi\) | |||||||
\(152\) | 1.57904 | − | 2.73498i | 0.128077 | − | 0.221836i | ||||
\(153\) | −9.10486 | + | 5.68046i | −0.736084 | + | 0.459238i | ||||
\(154\) | −8.60580 | − | 0.245234i | −0.693475 | − | 0.0197616i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.429842 | + | 1.72143i | −0.0344149 | + | 0.137824i | ||||
\(157\) | −12.0584 | + | 6.96194i | −0.962368 | + | 0.555623i | −0.896901 | − | 0.442231i | \(-0.854187\pi\) |
−0.0654670 | + | 0.997855i | \(0.520854\pi\) | |||||||
\(158\) | −2.46983 | + | 1.42596i | −0.196489 | + | 0.113443i | ||||
\(159\) | −4.71056 | + | 18.8648i | −0.373572 | + | 1.49608i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.41210 | + | 2.10179i | 0.268911 | + | 0.165644i | ||||
\(162\) | −12.2441 | − | 5.99317i | −0.961990 | − | 0.470868i | ||||
\(163\) | −2.03535 | + | 3.52533i | −0.159421 | + | 0.276125i | −0.934660 | − | 0.355543i | \(-0.884296\pi\) |
0.775239 | + | 0.631668i | \(0.217629\pi\) | |||||||
\(164\) | 1.74633 | + | 3.02473i | 0.136366 | + | 0.236192i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.9434 | + | 6.89551i | 0.926986 | + | 0.535196i | ||||
\(167\) | 13.9722 | 1.08120 | 0.540602 | − | 0.841279i | \(-0.318197\pi\) | ||||
0.540602 | + | 0.841279i | \(0.318197\pi\) | |||||||
\(168\) | −8.27606 | − | 8.46671i | −0.638512 | − | 0.653221i | ||||
\(169\) | 0.882841 | 0.0679109 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.72384 | − | 3.23658i | 0.131825 | − | 0.247508i | ||||
\(172\) | −0.440382 | − | 0.762763i | −0.0335788 | − | 0.0581602i | ||||
\(173\) | 5.00133 | − | 8.66256i | 0.380244 | − | 0.658602i | −0.610853 | − | 0.791744i | \(-0.709173\pi\) |
0.991097 | + | 0.133142i | \(0.0425066\pi\) | |||||||
\(174\) | 4.30206 | + | 15.0230i | 0.326139 | + | 1.13889i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 9.67157i | 0.729022i | ||||||||
\(177\) | −3.64549 | − | 0.910283i | −0.274012 | − | 0.0684211i | ||||
\(178\) | 2.33483 | − | 1.34801i | 0.175003 | − | 0.101038i | ||||
\(179\) | 14.0378 | − | 8.10475i | 1.04924 | − | 0.605777i | 0.126801 | − | 0.991928i | \(-0.459529\pi\) |
0.922436 | + | 0.386151i | \(0.126196\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 19.4123i | − | 1.44290i | −0.692465 | − | 0.721451i | \(-0.743475\pi\) | ||
0.692465 | − | 0.721451i | \(-0.256525\pi\) | |||||||
\(182\) | −7.31627 | + | 11.8774i | −0.542318 | + | 0.880414i | ||||
\(183\) | −5.65929 | + | 1.62062i | −0.418347 | + | 0.119800i | ||||
\(184\) | 1.95670 | − | 3.38910i | 0.144250 | − | 0.249848i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 5.79122 | − | 5.99277i | 0.424633 | − | 0.439411i | ||||
\(187\) | 6.65529 | + | 3.84243i | 0.486683 | + | 0.280987i | ||||
\(188\) | −1.79560 | −0.130958 | ||||||||
\(189\) | −9.94037 | − | 9.49679i | −0.723056 | − | 0.690790i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.0018 | − | 6.35188i | −0.796061 | − | 0.459606i | 0.0460309 | − | 0.998940i | \(-0.485343\pi\) |
−0.842092 | + | 0.539334i | \(0.818676\pi\) | |||||||
\(192\) | −7.82590 | + | 8.09826i | −0.564785 | + | 0.584441i | ||||
\(193\) | −10.4098 | − | 18.0302i | −0.749311 | − | 1.29785i | −0.948153 | − | 0.317813i | \(-0.897051\pi\) |
0.198842 | − | 0.980032i | \(-0.436282\pi\) | |||||||
\(194\) | −1.00411 | + | 1.73918i | −0.0720912 | + | 0.124866i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.926718 | + | 1.83974i | 0.0661942 | + | 0.131410i | ||||
\(197\) | − | 2.23465i | − | 0.159212i | −0.996826 | − | 0.0796062i | \(-0.974634\pi\) | ||
0.996826 | − | 0.0796062i | \(-0.0253663\pi\) | |||||||
\(198\) | 0.333837 | + | 9.75631i | 0.0237248 | + | 0.693351i | ||||
\(199\) | 21.5831 | − | 12.4610i | 1.52998 | − | 0.883337i | 0.530622 | − | 0.847608i | \(-0.321958\pi\) |
0.999362 | − | 0.0357284i | \(-0.0113751\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −17.3383 | − | 4.32940i | −1.22295 | − | 0.305372i | ||||
\(202\) | − | 20.3273i | − | 1.43022i | ||||||
\(203\) | −0.448901 | + | 15.7529i | −0.0315066 | + | 1.10564i | ||||
\(204\) | −0.501960 | − | 1.75286i | −0.0351442 | − | 0.122725i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 4.38262 | + | 7.59093i | 0.305352 | + | 0.528885i | ||||
\(207\) | 2.13613 | − | 4.01067i | 0.148471 | − | 0.278761i | ||||
\(208\) | 13.5716 | + | 7.83560i | 0.941025 | + | 0.543301i | ||||
\(209\) | −2.62596 | −0.181641 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.61520 | −0.455409 | −0.227705 | − | 0.973730i | \(-0.573122\pi\) | ||||
−0.227705 | + | 0.973730i | \(0.573122\pi\) | |||||||
\(212\) | −2.86100 | − | 1.65180i | −0.196494 | − | 0.113446i | ||||
\(213\) | 12.9493 | + | 12.5138i | 0.887272 | + | 0.857431i | ||||
\(214\) | −2.94338 | − | 5.09808i | −0.201205 | − | 0.348498i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −8.99355 | + | 9.96721i | −0.611934 | + | 0.678183i | ||||
\(217\) | 7.39515 | − | 3.99316i | 0.502016 | − | 0.271073i | ||||
\(218\) | 7.88801i | 0.534243i | ||||||||
\(219\) | −2.87667 | + | 11.5205i | −0.194388 | + | 0.778481i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.7838 | − | 6.22604i | 0.725398 | − | 0.418808i | ||||
\(222\) | −4.95975 | + | 19.8627i | −0.332877 | + | 1.33310i | ||||
\(223\) | 4.31027i | 0.288637i | 0.989531 | + | 0.144318i | \(0.0460990\pi\) | ||||
−0.989531 | + | 0.144318i | \(0.953901\pi\) | |||||||
\(224\) | 3.84545 | − | 2.07643i | 0.256935 | − | 0.138737i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.09052 | − | 12.2811i | 0.471654 | − | 0.816929i | ||||
\(227\) | −5.55561 | − | 9.62260i | −0.368739 | − | 0.638675i | 0.620630 | − | 0.784104i | \(-0.286877\pi\) |
−0.989369 | + | 0.145429i | \(0.953544\pi\) | |||||||
\(228\) | 0.448024 | + | 0.432956i | 0.0296711 | + | 0.0286732i | ||||
\(229\) | −8.63774 | − | 4.98700i | −0.570798 | − | 0.329550i | 0.186670 | − | 0.982423i | \(-0.440230\pi\) |
−0.757468 | + | 0.652872i | \(0.773564\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.65612 | + | 9.47967i | −0.174760 | + | 0.623717i | ||||
\(232\) | 15.3893 | 1.01036 | ||||||||
\(233\) | 17.8650 | + | 10.3144i | 1.17037 | + | 0.675716i | 0.953768 | − | 0.300543i | \(-0.0971678\pi\) |
0.216606 | + | 0.976259i | \(0.430501\pi\) | |||||||
\(234\) | 13.9610 | + | 7.43579i | 0.912661 | + | 0.486093i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.319198 | − | 0.552868i | 0.0207780 | − | 0.0359886i | ||||
\(237\) | 0.897801 | + | 3.13516i | 0.0583184 | + | 0.203650i | ||||
\(238\) | 0.408345 | − | 14.3297i | 0.0264691 | − | 0.928857i | ||||
\(239\) | 2.87353i | 0.185873i | 0.995672 | + | 0.0929365i | \(0.0296254\pi\) | ||||
−0.995672 | + | 0.0929365i | \(0.970375\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.5792 | − | 13.0361i | 1.45445 | − | 0.839728i | 0.455722 | − | 0.890122i | \(-0.349381\pi\) |
0.998729 | + | 0.0503940i | \(0.0160477\pi\) | |||||||
\(242\) | −8.37532 | + | 4.83549i | −0.538386 | + | 0.310837i | ||||
\(243\) | −10.0410 | + | 11.9238i | −0.644132 | + | 0.764915i | ||||
\(244\) | − | 1.00018i | − | 0.0640298i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 29.9340 | − | 8.57206i | 1.90852 | − | 0.546534i | ||||
\(247\) | −2.12747 | + | 3.68488i | −0.135368 | + | 0.234464i | ||||
\(248\) | −4.10353 | − | 7.10752i | −0.260574 | − | 0.451328i | ||||
\(249\) | 10.9588 | − | 11.3402i | 0.694486 | − | 0.718656i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.161120 | −0.0101698 | −0.00508489 | − | 0.999987i | \(-0.501619\pi\) | ||||
−0.00508489 | + | 0.999987i | \(0.501619\pi\) | |||||||
\(252\) | 2.01613 | − | 1.17943i | 0.127005 | − | 0.0742972i | ||||
\(253\) | −3.25401 | −0.204578 | ||||||||
\(254\) | −12.5637 | − | 7.25368i | −0.788319 | − | 0.455136i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.45866 | − | 5.99057i | −0.216166 | − | 0.374411i | ||||
\(257\) | −6.56514 | + | 11.3712i | −0.409522 | + | 0.709314i | −0.994836 | − | 0.101493i | \(-0.967638\pi\) |
0.585314 | + | 0.810807i | \(0.300971\pi\) | |||||||
\(258\) | −7.54861 | + | 2.16166i | −0.469956 | + | 0.134579i | ||||
\(259\) | −10.8282 | + | 17.5788i | −0.672830 | + | 1.09229i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.8589 | − | 0.611087i | 1.10544 | − | 0.0378254i | ||||
\(262\) | 12.3963 | − | 7.15703i | 0.765848 | − | 0.442163i | ||||
\(263\) | −15.3551 | + | 8.86526i | −0.946835 | + | 0.546655i | −0.892096 | − | 0.451846i | \(-0.850766\pi\) |
−0.0547384 | + | 0.998501i | \(0.517432\pi\) | |||||||
\(264\) | 9.32723 | + | 2.32902i | 0.574051 | + | 0.143341i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.32743 | + | 4.31029i | 0.142704 | + | 0.264281i | ||||
\(267\) | −0.848727 | − | 2.96379i | −0.0519412 | − | 0.181381i | ||||
\(268\) | 1.51814 | − | 2.62950i | 0.0927352 | − | 0.160622i | ||||
\(269\) | 2.20294 | + | 3.81561i | 0.134316 | + | 0.232642i | 0.925336 | − | 0.379148i | \(-0.123783\pi\) |
−0.791020 | + | 0.611790i | \(0.790450\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.4287 | + | 11.7945i | 1.24095 | + | 0.716465i | 0.969288 | − | 0.245927i | \(-0.0790923\pi\) |
0.271665 | + | 0.962392i | \(0.412426\pi\) | |||||||
\(272\) | −16.1043 | −0.976469 | ||||||||
\(273\) | 11.1505 | + | 11.4073i | 0.674857 | + | 0.690403i | ||||
\(274\) | 16.2155 | 0.979615 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.555178 | + | 0.536506i | 0.0334178 | + | 0.0322938i | ||||
\(277\) | −6.41589 | − | 11.1127i | −0.385494 | − | 0.667695i | 0.606344 | − | 0.795203i | \(-0.292636\pi\) |
−0.991838 | + | 0.127508i | \(0.959302\pi\) | |||||||
\(278\) | −3.11371 | + | 5.39311i | −0.186748 | + | 0.323457i | ||||
\(279\) | −5.04428 | − | 8.08517i | −0.301993 | − | 0.484046i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 21.2397i | − | 1.26706i | −0.773719 | − | 0.633528i | \(-0.781606\pi\) | ||
0.773719 | − | 0.633528i | \(-0.218394\pi\) | |||||||
\(282\) | −3.87810 | + | 15.5310i | −0.230938 | + | 0.924856i | ||||
\(283\) | 5.67603 | − | 3.27706i | 0.337405 | − | 0.194801i | −0.321719 | − | 0.946835i | \(-0.604261\pi\) |
0.659124 | + | 0.752034i | \(0.270927\pi\) | |||||||
\(284\) | −2.64967 | + | 1.52979i | −0.157229 | + | 0.0907761i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 11.3271i | − | 0.669786i | ||||||
\(287\) | 31.3883 | + | 0.894454i | 1.85279 | + | 0.0527980i | ||||
\(288\) | −2.62301 | − | 4.20426i | −0.154562 | − | 0.247738i | ||||
\(289\) | 2.10188 | − | 3.64056i | 0.123640 | − | 0.214151i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.65134 | + | 1.59581i | 0.0968035 | + | 0.0935477i | ||||
\(292\) | −1.74717 | − | 1.00873i | −0.102245 | − | 0.0590315i | ||||
\(293\) | 3.71937 | 0.217288 | 0.108644 | − | 0.994081i | \(-0.465349\pi\) | ||||
0.108644 | + | 0.994081i | \(0.465349\pi\) | |||||||
\(294\) | 17.9142 | − | 4.04218i | 1.04478 | − | 0.235745i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 17.4603 | + | 10.0807i | 1.01486 | + | 0.585928i | ||||
\(297\) | 10.9165 | + | 2.33240i | 0.633440 | + | 0.135340i | ||||
\(298\) | −1.92648 | − | 3.33677i | −0.111598 | − | 0.193294i | ||||
\(299\) | −2.63629 | + | 4.56619i | −0.152461 | + | 0.264070i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.91536 | − | 0.225559i | −0.456234 | − | 0.0130010i | ||||
\(302\) | 8.51121i | 0.489765i | ||||||||
\(303\) | −22.5519 | − | 5.63123i | −1.29557 | − | 0.323505i | ||||
\(304\) | 4.76568 | − | 2.75147i | 0.273331 | − | 0.157808i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −16.2454 | + | 0.555880i | −0.928690 | + | 0.0317775i | ||||
\(307\) | 11.2102i | 0.639800i | 0.947451 | + | 0.319900i | \(0.103649\pi\) | ||||
−0.947451 | + | 0.319900i | \(0.896351\pi\) | |||||||
\(308\) | −1.42415 | − | 0.877248i | −0.0811484 | − | 0.0499859i | ||||
\(309\) | 9.63578 | − | 2.75935i | 0.548160 | − | 0.156974i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.46050 | + | 16.3861i | 0.536456 | + | 0.929168i | 0.999091 | + | 0.0426199i | \(0.0135704\pi\) |
−0.462636 | + | 0.886548i | \(0.653096\pi\) | |||||||
\(312\) | 10.8248 | − | 11.2016i | 0.612835 | − | 0.634164i | ||||
\(313\) | −14.1859 | − | 8.19024i | −0.801835 | − | 0.462940i | 0.0422775 | − | 0.999106i | \(-0.486539\pi\) |
−0.844112 | + | 0.536166i | \(0.819872\pi\) | |||||||
\(314\) | −21.0903 | −1.19020 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.554083 | −0.0311696 | ||||||||
\(317\) | 8.76134 | + | 5.05836i | 0.492086 | + | 0.284106i | 0.725439 | − | 0.688286i | \(-0.241637\pi\) |
−0.233353 | + | 0.972392i | \(0.574970\pi\) | |||||||
\(318\) | −20.4663 | + | 21.1786i | −1.14769 | + | 1.18763i | ||||
\(319\) | −6.39812 | − | 11.0819i | −0.358226 | − | 0.620466i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.47141 | + | 1.85319i | −0.361199 | + | 0.103435i | ||||
\(322\) | 2.88408 | + | 5.34118i | 0.160723 | + | 0.297652i | ||||
\(323\) | − | 4.37254i | − | 0.243295i | ||||||
\(324\) | −1.47795 | − | 2.19780i | −0.0821083 | − | 0.122100i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −5.33977 | + | 3.08292i | −0.295743 | + | 0.170747i | ||||
\(327\) | 8.75127 | + | 2.18520i | 0.483946 | + | 0.120842i | ||||
\(328\) | − | 30.6638i | − | 1.69313i | ||||||
\(329\) | −8.46672 | + | 13.7451i | −0.466785 | + | 0.757791i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.63774 | + | 16.6931i | −0.529738 | + | 0.917533i | 0.469660 | + | 0.882847i | \(0.344376\pi\) |
−0.999398 | + | 0.0346861i | \(0.988957\pi\) | |||||||
\(332\) | 1.33969 | + | 2.32041i | 0.0735251 | + | 0.127349i | ||||
\(333\) | 20.6625 | + | 11.0051i | 1.13230 | + | 0.603075i | ||||
\(334\) | 18.3282 | + | 10.5818i | 1.00287 | + | 0.579009i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −5.11234 | − | 19.9871i | −0.278901 | − | 1.09039i | ||||
\(337\) | −23.6381 | −1.28765 | −0.643824 | − | 0.765174i | \(-0.722653\pi\) | ||||
−0.643824 | + | 0.765174i | \(0.722653\pi\) | |||||||
\(338\) | 1.15807 | + | 0.668614i | 0.0629909 | + | 0.0363678i | ||||
\(339\) | −11.6609 | − | 11.2687i | −0.633333 | − | 0.612033i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.41210 | + | 5.90993i | −0.184776 | + | 0.320041i | ||||
\(342\) | 4.71247 | − | 2.94008i | 0.254821 | − | 0.158981i | ||||
\(343\) | 18.4527 | + | 1.58093i | 0.996350 | + | 0.0853621i | ||||
\(344\) | 7.73266i | 0.416917i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.1211 | − | 7.57546i | 0.705394 | − | 0.407259i | ||||
\(347\) | −13.7760 | + | 7.95360i | −0.739536 | + | 0.426971i | −0.821901 | − | 0.569631i | \(-0.807086\pi\) |
0.0823644 | + | 0.996602i | \(0.473753\pi\) | |||||||
\(348\) | −0.735522 | + | 2.94561i | −0.0394281 | + | 0.157901i | ||||
\(349\) | 0.0192397i | 0.00102988i | 1.00000 | 0.000514938i | \(0.000163910\pi\) | |||||
−1.00000 | 0.000514938i | \(0.999836\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 12.1172 | − | 13.4290i | 0.646766 | − | 0.716786i | ||||
\(352\) | −1.77428 | + | 3.07314i | −0.0945695 | + | 0.163799i | ||||
\(353\) | −12.7100 | − | 22.0143i | −0.676484 | − | 1.17170i | −0.976033 | − | 0.217624i | \(-0.930170\pi\) |
0.299549 | − | 0.954081i | \(-0.403164\pi\) | |||||||
\(354\) | −4.09261 | − | 3.95496i | −0.217520 | − | 0.210204i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0.523797 | 0.0277612 | ||||||||
\(357\) | −15.7848 | − | 4.42276i | −0.835421 | − | 0.234078i | ||||
\(358\) | 24.5523 | 1.29763 | ||||||||
\(359\) | 20.9396 | + | 12.0895i | 1.10515 | + | 0.638057i | 0.937568 | − | 0.347801i | \(-0.113072\pi\) |
0.167579 | + | 0.985859i | \(0.446405\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.75294 | − | 15.1605i | −0.460681 | − | 0.797923i | ||||
\(362\) | 14.7018 | − | 25.4642i | 0.772708 | − | 1.33837i | ||||
\(363\) | 3.04448 | + | 10.6315i | 0.159794 | + | 0.558007i | ||||
\(364\) | −2.38480 | + | 1.28772i | −0.124998 | + | 0.0674949i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −8.65099 | − | 2.16016i | −0.452194 | − | 0.112913i | ||||
\(367\) | 7.85721 | − | 4.53636i | 0.410143 | − | 0.236796i | −0.280708 | − | 0.959793i | \(-0.590569\pi\) |
0.690851 | + | 0.722997i | \(0.257236\pi\) | |||||||
\(368\) | 5.90548 | − | 3.40953i | 0.307845 | − | 0.177734i | ||||
\(369\) | −1.21762 | − | 35.5846i | −0.0633867 | − | 1.85246i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −26.1346 | + | 14.1119i | −1.35684 | + | 0.732654i | ||||
\(372\) | 1.55655 | − | 0.445743i | 0.0807035 | − | 0.0231107i | ||||
\(373\) | 7.78183 | − | 13.4785i | 0.402928 | − | 0.697891i | −0.591150 | − | 0.806562i | \(-0.701326\pi\) |
0.994078 | + | 0.108670i | \(0.0346592\pi\) | |||||||
\(374\) | 5.82009 | + | 10.0807i | 0.300950 | + | 0.521260i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 13.6524 | + | 7.88224i | 0.704071 | + | 0.406496i | ||||
\(377\) | −20.7342 | −1.06787 | ||||||||
\(378\) | −5.84703 | − | 19.9858i | −0.300739 | − | 1.02796i | ||||
\(379\) | −34.0984 | −1.75152 | −0.875758 | − | 0.482751i | \(-0.839638\pi\) | ||||
−0.875758 | + | 0.482751i | \(0.839638\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −11.5280 | + | 11.9292i | −0.590598 | + | 0.611153i | ||||
\(382\) | −9.62112 | − | 16.6643i | −0.492259 | − | 0.852618i | ||||
\(383\) | 5.28833 | − | 9.15965i | 0.270221 | − | 0.468036i | −0.698697 | − | 0.715417i | \(-0.746237\pi\) |
0.968918 | + | 0.247381i | \(0.0795699\pi\) | |||||||
\(384\) | −21.8997 | + | 6.27133i | −1.11757 | + | 0.320032i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 31.5351i | − | 1.60509i | ||||||
\(387\) | 0.307054 | + | 8.97356i | 0.0156084 | + | 0.456152i | ||||
\(388\) | −0.337895 | + | 0.195084i | −0.0171540 | + | 0.00990388i | ||||
\(389\) | 14.6659 | − | 8.46736i | 0.743590 | − | 0.429312i | −0.0797828 | − | 0.996812i | \(-0.525423\pi\) |
0.823373 | + | 0.567500i | \(0.192089\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 5.41832i | − | 0.274016i | ||||||
\(392\) | 1.02990 | − | 18.0561i | 0.0520180 | − | 0.911970i | ||||
\(393\) | −4.50615 | − | 15.7357i | −0.227305 | − | 0.793760i | ||||
\(394\) | 1.69240 | − | 2.93132i | 0.0852619 | − | 0.147678i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.891580 | + | 1.67398i | −0.0448036 | + | 0.0841207i | ||||
\(397\) | 0.353188 | + | 0.203913i | 0.0177260 | + | 0.0102341i | 0.508837 | − | 0.860863i | \(-0.330076\pi\) |
−0.491111 | + | 0.871097i | \(0.663409\pi\) | |||||||
\(398\) | 37.7491 | 1.89219 | ||||||||
\(399\) | 5.42677 | − | 1.38807i | 0.271678 | − | 0.0694903i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 24.2302 | + | 13.9893i | 1.21000 | + | 0.698593i | 0.962759 | − | 0.270361i | \(-0.0871430\pi\) |
0.247240 | + | 0.968954i | \(0.420476\pi\) | |||||||
\(402\) | −19.4649 | − | 18.8102i | −0.970819 | − | 0.938168i | ||||
\(403\) | 5.52875 | + | 9.57608i | 0.275407 | + | 0.477019i | ||||
\(404\) | 1.97464 | − | 3.42017i | 0.0982418 | − | 0.170160i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.5192 | + | 20.3240i | −0.621317 | + | 1.00866i | ||||
\(407\) | − | 16.7643i | − | 0.830974i | ||||||
\(408\) | −3.87810 | + | 15.5310i | −0.191995 | + | 0.768898i | ||||
\(409\) | −2.26960 | + | 1.31036i | −0.112225 | + | 0.0647929i | −0.555062 | − | 0.831809i | \(-0.687305\pi\) |
0.442837 | + | 0.896602i | \(0.353972\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.49215 | − | 17.9901i | 0.221582 | − | 0.887388i | ||||
\(412\) | 1.70295i | 0.0838984i | ||||||||
\(413\) | −2.72703 | − | 5.05033i | −0.134188 | − | 0.248511i | ||||
\(414\) | 5.83954 | − | 3.64325i | 0.286998 | − | 0.179056i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.87493 | + | 4.97953i | 0.140955 | + | 0.244141i | ||||
\(417\) | 5.12074 | + | 4.94852i | 0.250764 | + | 0.242330i | ||||
\(418\) | −3.44462 | − | 1.98876i | −0.168482 | − | 0.0972732i | ||||
\(419\) | −8.39649 | −0.410195 | −0.205098 | − | 0.978742i | \(-0.565751\pi\) | ||||
−0.205098 | + | 0.978742i | \(0.565751\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.84952 | −0.382562 | −0.191281 | − | 0.981535i | \(-0.561264\pi\) | ||||
−0.191281 | + | 0.981535i | \(0.561264\pi\) | |||||||
\(422\) | −8.67754 | − | 5.00998i | −0.422416 | − | 0.243882i | ||||
\(423\) | 16.1563 | + | 8.60503i | 0.785548 | + | 0.418391i | ||||
\(424\) | 14.5020 | + | 25.1181i | 0.704277 | + | 1.21984i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 7.50912 | + | 26.2222i | 0.363818 | + | 1.27047i | ||||
\(427\) | −7.65622 | − | 4.71609i | −0.370511 | − | 0.228227i | ||||
\(428\) | − | 1.14371i | − | 0.0552831i | ||||||
\(429\) | −12.5667 | − | 3.13793i | −0.606727 | − | 0.151500i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.6154 | − | 6.12880i | 0.511326 | − | 0.295214i | −0.222053 | − | 0.975035i | \(-0.571276\pi\) |
0.733378 | + | 0.679821i | \(0.237942\pi\) | |||||||
\(432\) | −22.2555 | + | 7.20535i | −1.07077 | + | 0.346668i | ||||
\(433\) | 5.13957i | 0.246992i | 0.992345 | + | 0.123496i | \(0.0394106\pi\) | ||||
−0.992345 | + | 0.123496i | \(0.960589\pi\) | |||||||
\(434\) | 12.7249 | + | 0.362613i | 0.610813 | + | 0.0174060i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.766259 | + | 1.32720i | −0.0366971 | + | 0.0635613i | ||||
\(437\) | 0.925734 | + | 1.60342i | 0.0442838 | + | 0.0767019i | ||||
\(438\) | −12.4985 | + | 12.9334i | −0.597200 | + | 0.617984i | ||||
\(439\) | 14.4620 | + | 8.34964i | 0.690234 | + | 0.398507i | 0.803700 | − | 0.595035i | \(-0.202862\pi\) |
−0.113466 | + | 0.993542i | \(0.536195\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.478196 | − | 20.9946i | 0.0227712 | − | 0.999741i | ||||
\(442\) | 18.8610 | 0.897127 | ||||||||
\(443\) | −0.218429 | − | 0.126110i | −0.0103779 | − | 0.00599167i | 0.494802 | − | 0.869006i | \(-0.335241\pi\) |
−0.505180 | + | 0.863014i | \(0.668574\pi\) | |||||||
\(444\) | −2.76402 | + | 2.86021i | −0.131174 | + | 0.135740i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.26436 | + | 5.65403i | −0.154572 | + | 0.267726i | ||||
\(447\) | −4.23563 | + | 1.21294i | −0.200339 | + | 0.0573700i | ||||
\(448\) | −17.1956 | − | 0.490013i | −0.812415 | − | 0.0231509i | ||||
\(449\) | 28.8710i | 1.36250i | 0.732049 | + | 0.681252i | \(0.238564\pi\) | ||||
−0.732049 | + | 0.681252i | \(0.761436\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −22.0811 | + | 12.7485i | −1.03976 | + | 0.600305i | ||||
\(452\) | 2.38603 | − | 1.37758i | 0.112230 | − | 0.0647958i | ||||
\(453\) | 9.44267 | + | 2.35785i | 0.443655 | + | 0.110781i | ||||
\(454\) | − | 16.8300i | − | 0.789873i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.50588 | − | 5.25859i | −0.0705193 | − | 0.246256i | ||||
\(457\) | 12.0368 | − | 20.8483i | 0.563056 | − | 0.975242i | −0.434171 | − | 0.900830i | \(-0.642959\pi\) |
0.997228 | − | 0.0744117i | \(-0.0237079\pi\) | |||||||
\(458\) | −7.55375 | − | 13.0835i | −0.352964 | − | 0.611351i | ||||
\(459\) | −3.88373 | + | 18.1773i | −0.181277 | + | 0.848445i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −39.8709 | −1.85697 | −0.928486 | − | 0.371367i | \(-0.878889\pi\) | ||||
−0.928486 | + | 0.371367i | \(0.878889\pi\) | |||||||
\(462\) | −10.6636 | + | 10.4234i | −0.496114 | + | 0.484943i | ||||
\(463\) | −29.8417 | −1.38686 | −0.693430 | − | 0.720524i | \(-0.743901\pi\) | ||||
−0.693430 | + | 0.720524i | \(0.743901\pi\) | |||||||
\(464\) | 23.2231 | + | 13.4078i | 1.07810 | + | 0.622443i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 15.6230 | + | 27.0599i | 0.723723 | + | 1.25353i | ||||
\(467\) | −2.09082 | + | 3.62140i | −0.0967515 | + | 0.167579i | −0.910338 | − | 0.413865i | \(-0.864179\pi\) |
0.813587 | + | 0.581444i | \(0.197512\pi\) | |||||||
\(468\) | 1.62669 | + | 2.60732i | 0.0751937 | + | 0.120523i | ||||
\(469\) | −12.9700 | − | 24.0199i | −0.598900 | − | 1.10914i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.84262 | + | 23.3984i | −0.269214 | + | 1.07814i | ||||
\(472\) | −4.85390 | + | 2.80240i | −0.223419 | + | 0.128991i | ||||
\(473\) | 5.56831 | − | 3.21487i | 0.256031 | − | 0.147820i | ||||
\(474\) | −1.19670 | + | 4.79252i | −0.0549661 | + | 0.220128i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 1.46073 | − | 2.37138i | 0.0669522 | − | 0.108692i | ||||
\(477\) | 17.8266 | + | 28.5731i | 0.816223 | + | 1.30827i | ||||
\(478\) | −2.17625 | + | 3.76937i | −0.0995393 | + | 0.172407i | ||||
\(479\) | −13.9676 | − | 24.1926i | −0.638196 | − | 1.10539i | −0.985828 | − | 0.167757i | \(-0.946348\pi\) |
0.347632 | − | 0.937631i | \(-0.386986\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.5245 | − | 13.5819i | −1.07262 | − | 0.619280i | ||||
\(482\) | 39.4912 | 1.79878 | ||||||||
\(483\) | 6.72468 | − | 1.72005i | 0.305984 | − | 0.0782650i | ||||
\(484\) | −1.87892 | −0.0854055 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −22.2018 | + | 8.03669i | −1.00710 | + | 0.364552i | ||||
\(487\) | 18.6216 | + | 32.2536i | 0.843826 | + | 1.46155i | 0.886637 | + | 0.462466i | \(0.153035\pi\) |
−0.0428116 | + | 0.999083i | \(0.513632\pi\) | |||||||
\(488\) | −4.39053 | + | 7.60462i | −0.198750 | + | 0.344245i | ||||
\(489\) | 1.94104 | + | 6.77821i | 0.0877770 | + | 0.306521i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 5.90572i | − | 0.266522i | −0.991081 | − | 0.133261i | \(-0.957455\pi\) | ||
0.991081 | − | 0.133261i | \(-0.0425448\pi\) | |||||||
\(492\) | 5.86926 | + | 1.46556i | 0.264607 | + | 0.0660725i | ||||
\(493\) | 18.4527 | − | 10.6536i | 0.831066 | − | 0.479816i | ||||
\(494\) | −5.58145 | + | 3.22245i | −0.251121 | + | 0.144985i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 14.3007i | − | 0.642122i | ||||||
\(497\) | −0.783542 | + | 27.4962i | −0.0351467 | + | 1.23337i | ||||
\(498\) | 22.9637 | − | 6.57602i | 1.02903 | − | 0.294678i | ||||
\(499\) | −9.37010 | + | 16.2295i | −0.419463 | + | 0.726532i | −0.995886 | − | 0.0906204i | \(-0.971115\pi\) |
0.576422 | + | 0.817152i | \(0.304448\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 16.8173 | − | 17.4025i | 0.751340 | − | 0.777489i | ||||
\(502\) | −0.211350 | − | 0.122023i | −0.00943301 | − | 0.00544615i | ||||
\(503\) | −32.0398 | −1.42858 | −0.714291 | − | 0.699849i | \(-0.753251\pi\) | ||||
−0.714291 | + | 0.699849i | \(0.753251\pi\) | |||||||
\(504\) | −20.5066 | + | 0.117207i | −0.913437 | + | 0.00522082i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −4.26847 | − | 2.46440i | −0.189757 | − | 0.109556i | ||||
\(507\) | 1.06261 | − | 1.09959i | 0.0471920 | − | 0.0488344i | ||||
\(508\) | −1.40928 | − | 2.44094i | −0.0625265 | − | 0.108299i | ||||
\(509\) | 9.57465 | − | 16.5838i | 0.424389 | − | 0.735063i | −0.571974 | − | 0.820272i | \(-0.693822\pi\) |
0.996363 | + | 0.0852085i | \(0.0271556\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.9600 | + | 8.61794i | −0.706031 | + | 0.381235i | ||||
\(512\) | 15.8265i | 0.699439i | ||||||||
\(513\) | −1.95635 | − | 6.04268i | −0.0863749 | − | 0.266791i | ||||
\(514\) | −17.2238 | + | 9.94415i | −0.759708 | + | 0.438617i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −1.48008 | − | 0.369578i | −0.0651570 | − | 0.0162698i | ||||
\(517\) | − | 13.1082i | − | 0.576499i | ||||||
\(518\) | −27.5171 | + | 14.8584i | −1.20903 | + | 0.652842i | ||||
\(519\) | −4.76960 | − | 16.6557i | −0.209362 | − | 0.731102i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.94104 | − | 3.36199i | −0.0850387 | − | 0.147291i | 0.820369 | − | 0.571834i | \(-0.193768\pi\) |
−0.905408 | + | 0.424543i | \(0.860435\pi\) | |||||||
\(522\) | 23.8893 | + | 12.7237i | 1.04561 | + | 0.556902i | ||||
\(523\) | 1.83929 | + | 1.06192i | 0.0804266 | + | 0.0464343i | 0.539674 | − | 0.841874i | \(-0.318548\pi\) |
−0.459247 | + | 0.888308i | \(0.651881\pi\) | |||||||
\(524\) | 2.78100 | 0.121488 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.8562 | −1.17099 | ||||||||
\(527\) | −9.84076 | − | 5.68157i | −0.428670 | − | 0.247493i | ||||
\(528\) | 12.0460 | + | 11.6409i | 0.524236 | + | 0.506605i | ||||
\(529\) | −10.3529 | − | 17.9317i | −0.450124 | − | 0.779638i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −5.52156 | + | 3.44486i | −0.239615 | + | 0.149494i | ||||
\(532\) | −0.0271092 | + | 0.951321i | −0.00117533 | + | 0.0412450i | ||||
\(533\) | 41.3138i | 1.78950i | ||||||||
\(534\) | 1.13128 | − | 4.53055i | 0.0489555 | − | 0.196056i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −23.0856 | + | 13.3285i | −0.997148 | + | 0.575704i | ||||
\(537\) | 6.80168 | − | 27.2393i | 0.293514 | − | 1.17546i | ||||
\(538\) | 6.67354i | 0.287717i | ||||||||
\(539\) | −13.4304 | + | 6.76522i | −0.578490 | + | 0.291398i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.59052 | − | 13.1472i | 0.326342 | − | 0.565241i | −0.655441 | − | 0.755246i | \(-0.727517\pi\) |
0.981783 | + | 0.190005i | \(0.0608506\pi\) | |||||||
\(542\) | 17.8650 | + | 30.9431i | 0.767367 | + | 1.32912i | ||||
\(543\) | −24.1782 | − | 23.3650i | −1.03759 | − | 1.00269i | ||||
\(544\) | −5.11716 | − | 2.95439i | −0.219396 | − | 0.126669i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 5.98744 | + | 23.4084i | 0.256239 | + | 1.00179i | ||||
\(547\) | −11.7540 | −0.502566 | −0.251283 | − | 0.967914i | \(-0.580852\pi\) | ||||
−0.251283 | + | 0.967914i | \(0.580852\pi\) | |||||||
\(548\) | 2.72835 | + | 1.57521i | 0.116549 | + | 0.0672897i | ||||
\(549\) | −4.79313 | + | 8.99932i | −0.204566 | + | 0.384082i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.64041 | + | 6.30537i | −0.155087 | + | 0.268618i | ||||
\(552\) | −1.86604 | − | 6.51629i | −0.0794239 | − | 0.277352i | ||||
\(553\) | −2.61264 | + | 4.24143i | −0.111101 | + | 0.180364i | ||||
\(554\) | − | 19.4362i | − | 0.825763i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.04780 | + | 0.604946i | −0.0444365 | + | 0.0256554i | ||||
\(557\) | −8.14298 | + | 4.70135i | −0.345029 | + | 0.199203i | −0.662494 | − | 0.749068i | \(-0.730502\pi\) |
0.317465 | + | 0.948270i | \(0.397169\pi\) | |||||||
\(558\) | −0.493624 | − | 14.4260i | −0.0208968 | − | 0.610703i | ||||
\(559\) | − | 10.4183i | − | 0.440649i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.7962 | − | 3.66440i | 0.540258 | − | 0.154711i | ||||
\(562\) | 16.0858 | − | 27.8614i | 0.678538 | − | 1.17526i | ||||
\(563\) | 9.76331 | + | 16.9106i | 0.411475 | + | 0.712695i | 0.995051 | − | 0.0993632i | \(-0.0316806\pi\) |
−0.583577 | + | 0.812058i | \(0.698347\pi\) | |||||||
\(564\) | −2.16122 | + | 2.23644i | −0.0910040 | + | 0.0941712i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 9.92744 | 0.417281 | ||||||||
\(567\) | −23.7928 | + | 0.950307i | −0.999203 | + | 0.0399091i | ||||
\(568\) | 26.8615 | 1.12708 | ||||||||
\(569\) | −11.1702 | − | 6.44911i | −0.468279 | − | 0.270361i | 0.247240 | − | 0.968954i | \(-0.420476\pi\) |
−0.715519 | + | 0.698593i | \(0.753810\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.8321 | + | 36.0823i | 0.871796 | + | 1.51000i | 0.860137 | + | 0.510063i | \(0.170378\pi\) |
0.0116595 | + | 0.999932i | \(0.496289\pi\) | |||||||
\(572\) | 1.10034 | − | 1.90584i | 0.0460075 | − | 0.0796874i | ||||
\(573\) | −21.1533 | + | 6.05758i | −0.883692 | + | 0.253059i | ||||
\(574\) | 40.4965 | + | 24.9451i | 1.69029 | + | 1.04119i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.667053 | + | 19.4945i | 0.0277939 | + | 0.812270i | ||||
\(577\) | −6.48634 | + | 3.74489i | −0.270030 | + | 0.155902i | −0.628901 | − | 0.777485i | \(-0.716495\pi\) |
0.358871 | + | 0.933387i | \(0.383162\pi\) | |||||||
\(578\) | 5.51432 | − | 3.18369i | 0.229365 | − | 0.132424i | ||||
\(579\) | −34.9863 | − | 8.73611i | −1.45398 | − | 0.363060i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 24.0794 | + | 0.686177i | 0.998983 | + | 0.0284674i | ||||
\(582\) | 0.957590 | + | 3.34395i | 0.0396934 | + | 0.138611i | ||||
\(583\) | 12.0584 | − | 20.8858i | 0.499409 | − | 0.865003i | ||||
\(584\) | 8.85614 | + | 15.3393i | 0.366470 | + | 0.634744i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.87892 | + | 2.81685i | 0.201546 | + | 0.116363i | ||||
\(587\) | −22.1920 | −0.915961 | −0.457981 | − | 0.888962i | \(-0.651427\pi\) | ||||
−0.457981 | + | 0.888962i | \(0.651427\pi\) | |||||||
\(588\) | 3.40683 | + | 1.06011i | 0.140495 | + | 0.0437182i | ||||
\(589\) | 3.88284 | 0.159990 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.78328 | − | 2.68967i | −0.114489 | − | 0.110638i | ||||
\(592\) | 17.5655 | + | 30.4244i | 0.721938 | + | 1.25043i | ||||
\(593\) | −3.15687 | + | 5.46787i | −0.129637 | + | 0.224538i | −0.923536 | − | 0.383512i | \(-0.874715\pi\) |
0.793899 | + | 0.608050i | \(0.208048\pi\) | |||||||
\(594\) | 12.5534 | + | 11.3271i | 0.515072 | + | 0.464757i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 0.748572i | − | 0.0306627i | ||||||
\(597\) | 10.4575 | − | 41.8803i | 0.427999 | − | 1.71405i | ||||
\(598\) | −6.91636 | + | 3.99316i | −0.282831 | + | 0.163293i | ||||
\(599\) | −17.8962 | + | 10.3324i | −0.731219 | + | 0.422170i | −0.818868 | − | 0.573982i | \(-0.805398\pi\) |
0.0876487 | + | 0.996151i | \(0.472065\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 12.5956i | − | 0.513785i | −0.966440 | − | 0.256892i | \(-0.917301\pi\) | ||
0.966440 | − | 0.256892i | \(-0.0826986\pi\) | |||||||
\(602\) | −10.2122 | − | 6.29053i | −0.416219 | − | 0.256383i | ||||
\(603\) | −26.2611 | + | 16.3841i | −1.06943 | + | 0.667213i | ||||
\(604\) | −0.826798 | + | 1.43206i | −0.0336419 | + | 0.0582695i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −25.3178 | − | 24.4663i | −1.02847 | − | 0.993877i | ||||
\(607\) | −36.9590 | − | 21.3383i | −1.50012 | − | 0.866095i | −1.00000 | 0.000139312i | \(-0.999956\pi\) | |
−0.500121 | − | 0.865956i | \(-0.666711\pi\) | |||||||
\(608\) | 2.01906 | 0.0818838 | ||||||||
\(609\) | 19.0801 | + | 19.5196i | 0.773163 | + | 0.790974i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −18.3942 | − | 10.6199i | −0.744148 | − | 0.429634i | ||||
\(612\) | −2.78738 | − | 1.48459i | −0.112673 | − | 0.0600110i | ||||
\(613\) | −2.66142 | − | 4.60972i | −0.107494 | − | 0.186185i | 0.807261 | − | 0.590195i | \(-0.200949\pi\) |
−0.914754 | + | 0.404011i | \(0.867616\pi\) | |||||||
\(614\) | −8.48998 | + | 14.7051i | −0.342628 | + | 0.593448i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.97728 | + | 12.9216i | 0.281123 | + | 0.520626i | ||||
\(617\) | − | 30.1002i | − | 1.21179i | −0.795545 | − | 0.605895i | \(-0.792815\pi\) | ||
0.795545 | − | 0.605895i | \(-0.207185\pi\) | |||||||
\(618\) | 14.7296 | + | 3.67800i | 0.592511 | + | 0.147951i | ||||
\(619\) | −11.0265 | + | 6.36613i | −0.443191 | + | 0.255876i | −0.704950 | − | 0.709257i | \(-0.749031\pi\) |
0.261759 | + | 0.965133i | \(0.415697\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.42425 | − | 7.48790i | −0.0972817 | − | 0.300479i | ||||
\(622\) | 28.6594i | 1.14914i | ||||||||
\(623\) | 2.46983 | − | 4.00959i | 0.0989518 | − | 0.160641i | ||||
\(624\) | 26.0944 | − | 7.47254i | 1.04461 | − | 0.299141i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −12.4057 | − | 21.4872i | −0.495830 | − | 0.858802i | ||||
\(627\) | −3.16066 | + | 3.27066i | −0.126225 | + | 0.130618i | ||||
\(628\) | −3.54856 | − | 2.04876i | −0.141603 | − | 0.0817545i | ||||
\(629\) | 27.9145 | 1.11303 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.4114 | −0.693138 | −0.346569 | − | 0.938024i | \(-0.612653\pi\) | ||||
−0.346569 | + | 0.938024i | \(0.612653\pi\) | |||||||
\(632\) | 4.21284 | + | 2.43229i | 0.167578 | + | 0.0967511i | ||||
\(633\) | −7.96219 | + | 8.23930i | −0.316469 | + | 0.327483i | ||||
\(634\) | 7.66184 | + | 13.2707i | 0.304291 | + | 0.527047i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.50089 | + | 1.57526i | −0.218125 | + | 0.0624633i | ||||
\(637\) | −1.38761 | + | 24.3273i | −0.0549789 | + | 0.963881i | ||||
\(638\) | − | 19.3823i | − | 0.767353i | ||||||
\(639\) | 31.1721 | − | 1.06663i | 1.23315 | − | 0.0421954i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.13893 | − | 0.657564i | 0.0449852 | − | 0.0259722i | −0.477339 | − | 0.878719i | \(-0.658399\pi\) |
0.522324 | + | 0.852747i | \(0.325065\pi\) | |||||||
\(642\) | −9.89243 | − | 2.47015i | −0.390423 | − | 0.0974891i | ||||
\(643\) | 39.2223i | 1.54678i | 0.633932 | + | 0.773389i | \(0.281440\pi\) | ||||
−0.633932 | + | 0.773389i | \(0.718560\pi\) | |||||||
\(644\) | −0.0335929 | + | 1.17885i | −0.00132375 | + | 0.0464531i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.31152 | − | 5.73572i | 0.130290 | − | 0.225669i | ||||
\(647\) | −3.11558 | − | 5.39634i | −0.122486 | − | 0.212152i | 0.798261 | − | 0.602311i | \(-0.205753\pi\) |
−0.920747 | + | 0.390159i | \(0.872420\pi\) | |||||||
\(648\) | 1.58944 | + | 23.1983i | 0.0624391 | + | 0.911316i | ||||
\(649\) | 4.03604 | + | 2.33021i | 0.158428 | + | 0.0914687i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.92744 | − | 14.0170i | 0.153928 | − | 0.549369i | ||||
\(652\) | −1.19793 | −0.0469144 | ||||||||
\(653\) | 16.3348 | + | 9.43091i | 0.639230 | + | 0.369060i | 0.784318 | − | 0.620359i | \(-0.213013\pi\) |
−0.145088 | + | 0.989419i | \(0.546346\pi\) | |||||||
\(654\) | 9.82460 | + | 9.49418i | 0.384172 | + | 0.371252i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 26.7157 | − | 46.2730i | 1.04307 | − | 1.80666i | ||||
\(657\) | 10.8864 | + | 17.4492i | 0.424721 | + | 0.680759i | ||||
\(658\) | −21.5160 | + | 11.6180i | −0.838783 | + | 0.452918i | ||||
\(659\) | − | 41.6170i | − | 1.62117i | −0.585622 | − | 0.810584i | \(-0.699150\pi\) | ||
0.585622 | − | 0.810584i | \(-0.300850\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.27232 | − | 1.88927i | 0.127278 | − | 0.0734842i | −0.435009 | − | 0.900426i | \(-0.643255\pi\) |
0.562287 | + | 0.826942i | \(0.309921\pi\) | |||||||
\(662\) | −25.2848 | + | 14.5982i | −0.982721 | + | 0.567374i | ||||
\(663\) | 5.22503 | − | 20.9251i | 0.202923 | − | 0.812665i | ||||
\(664\) | − | 23.5236i | − | 0.912894i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 18.7696 | + | 30.0846i | 0.727307 | + | 1.16576i | ||||
\(667\) | −4.51108 | + | 7.81342i | −0.174670 | + | 0.302537i | ||||
\(668\) | 2.05588 | + | 3.56088i | 0.0795442 | + | 0.137775i | ||||
\(669\) | 5.36848 | + | 5.18793i | 0.207558 | + | 0.200577i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.30148 | 0.281871 | ||||||||
\(672\) | 2.04225 | − | 7.28879i | 0.0787816 | − | 0.281171i | ||||
\(673\) | −31.2573 | −1.20488 | −0.602441 | − | 0.798163i | \(-0.705805\pi\) | ||||
−0.602441 | + | 0.798163i | \(0.705805\pi\) | |||||||
\(674\) | −31.0075 | − | 17.9022i | −1.19436 | − | 0.689565i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.129901 | + | 0.224996i | 0.00499621 | + | 0.00865369i | ||||
\(677\) | 4.36895 | − | 7.56724i | 0.167912 | − | 0.290832i | −0.769773 | − | 0.638317i | \(-0.779631\pi\) |
0.937686 | + | 0.347485i | \(0.112964\pi\) | |||||||
\(678\) | −6.76199 | − | 23.6132i | −0.259693 | − | 0.906858i | ||||
\(679\) | −0.0999201 | + | 3.50641i | −0.00383458 | + | 0.134564i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −18.6719 | − | 4.66239i | −0.715509 | − | 0.178663i | ||||
\(682\) | −8.95171 | + | 5.16827i | −0.342779 | + | 0.197903i | ||||
\(683\) | 18.9393 | − | 10.9346i | 0.724691 | − | 0.418401i | −0.0917858 | − | 0.995779i | \(-0.529257\pi\) |
0.816477 | + | 0.577378i | \(0.195924\pi\) | |||||||
\(684\) | 1.07850 | − | 0.0369037i | 0.0412376 | − | 0.00141105i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 23.0081 | + | 16.0488i | 0.878454 | + | 0.612746i | ||||
\(687\) | −16.6079 | + | 4.75594i | −0.633632 | + | 0.181450i | ||||
\(688\) | −6.73705 | + | 11.6689i | −0.256847 | + | 0.444873i | ||||
\(689\) | −19.5387 | − | 33.8421i | −0.744366 | − | 1.28928i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.5167 | + | 11.2680i | 0.742449 | + | 0.428653i | 0.822959 | − | 0.568101i | \(-0.192322\pi\) |
−0.0805102 | + | 0.996754i | \(0.525655\pi\) | |||||||
\(692\) | 2.94359 | 0.111898 | ||||||||
\(693\) | 8.61007 | + | 14.7182i | 0.327069 | + | 0.559097i | ||||
\(694\) | −24.0944 | −0.914612 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 18.5229 | − | 19.1675i | 0.702107 | − | 0.726542i | ||||
\(697\) | −21.2279 | − | 36.7678i | −0.804063 | − | 1.39268i | ||||
\(698\) | −0.0145711 | + | 0.0252378i | −0.000551523 | + | 0.000955266i | ||||
\(699\) | 34.3493 | − | 9.83646i | 1.29921 | − | 0.372049i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 35.5019i | 1.34089i | 0.741960 | + | 0.670444i | \(0.233896\pi\) | ||||
−0.741960 | + | 0.670444i | \(0.766104\pi\) | |||||||
\(702\) | 26.0652 | − | 8.43873i | 0.983766 | − | 0.318499i | ||||
\(703\) | −8.26062 | + | 4.76927i | −0.311555 | + | 0.179877i | ||||
\(704\) | 12.0968 | − | 6.98408i | 0.455915 | − | 0.263223i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 38.5033i | − | 1.44909i | ||||||
\(707\) | −16.8700 | − | 31.2425i | −0.634463 | − | 1.17500i | ||||
\(708\) | −0.304409 | − | 1.06301i | −0.0114404 | − | 0.0399503i | ||||
\(709\) | 2.03390 | − | 3.52282i | 0.0763847 | − | 0.132302i | −0.825303 | − | 0.564690i | \(-0.808996\pi\) |
0.901688 | + | 0.432388i | \(0.142329\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.98549 | + | 2.65532i | 0.186970 | + | 0.0995824i | ||||
\(712\) | −3.98257 | − | 2.29934i | −0.149253 | − | 0.0861712i | ||||
\(713\) | 4.81149 | 0.180192 | ||||||||
\(714\) | −17.3563 | − | 17.7561i | −0.649543 | − | 0.664506i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.13106 | + | 2.38507i | 0.154385 | + | 0.0891342i | ||||
\(717\) | 3.57901 | + | 3.45864i | 0.133660 | + | 0.129165i | ||||
\(718\) | 18.3118 | + | 31.7169i | 0.683389 | + | 1.18366i | ||||
\(719\) | −15.2703 | + | 26.4489i | −0.569484 | + | 0.986376i | 0.427133 | + | 0.904189i | \(0.359524\pi\) |
−0.996617 | + | 0.0821868i | \(0.973810\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0359 | + | 8.02984i | 0.485481 | + | 0.299047i | ||||
\(722\) | − | 26.5159i | − | 0.986821i | ||||||
\(723\) | 10.9402 | − | 43.8131i | 0.406869 | − | 1.62943i | ||||
\(724\) | 4.94730 | − | 2.85632i | 0.183865 | − | 0.106154i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −4.05805 | + | 16.2516i | −0.150608 | + | 0.603155i | ||||
\(727\) | 23.4181i | 0.868528i | 0.900786 | + | 0.434264i | \(0.142992\pi\) | ||||
−0.900786 | + | 0.434264i | \(0.857008\pi\) | |||||||
\(728\) | 23.7850 | + | 0.677789i | 0.881533 | + | 0.0251205i | ||||
\(729\) | 2.76568 | + | 26.8580i | 0.102433 | + | 0.994740i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.35315 | + | 9.27192i | 0.197993 | + | 0.342934i | ||||
\(732\) | −1.24573 | − | 1.20383i | −0.0460436 | − | 0.0444950i | ||||
\(733\) | −14.6277 | − | 8.44533i | −0.540288 | − | 0.311935i | 0.204908 | − | 0.978781i | \(-0.434311\pi\) |
−0.745196 | + | 0.666846i | \(0.767644\pi\) | |||||||
\(734\) | 13.7423 | 0.507239 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.50196 | 0.0922235 | ||||||||
\(737\) | 19.1958 | + | 11.0827i | 0.707087 | + | 0.408237i | ||||
\(738\) | 25.3526 | − | 47.6006i | 0.933242 | − | 1.75220i | ||||
\(739\) | 13.8321 | + | 23.9579i | 0.508822 | + | 0.881306i | 0.999948 | + | 0.0102170i | \(0.00325222\pi\) |
−0.491126 | + | 0.871089i | \(0.663414\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.02890 | + | 7.08499i | 0.0745333 | + | 0.260274i | ||||
\(742\) | −44.9699 | − | 1.28148i | −1.65090 | − | 0.0470446i | ||||
\(743\) | − | 40.1701i | − | 1.47370i | −0.676056 | − | 0.736850i | \(-0.736312\pi\) | ||
0.676056 | − | 0.736850i | \(-0.263688\pi\) | |||||||
\(744\) | −13.7916 | − | 3.44377i | −0.505624 | − | 0.126255i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 20.4158 | − | 11.7870i | 0.747474 | − | 0.431554i | ||||
\(747\) | −0.934092 | − | 27.2986i | −0.0341766 | − | 0.998804i | ||||
\(748\) | 2.26151i | 0.0826888i | ||||||||
\(749\) | −8.75491 | − | 5.39286i | −0.319898 | − | 0.197051i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.8188 | − | 42.9874i | 0.905650 | − | 1.56863i | 0.0856082 | − | 0.996329i | \(-0.472717\pi\) |
0.820042 | − | 0.572303i | \(-0.193950\pi\) | |||||||
\(752\) | 13.7347 | + | 23.7893i | 0.500854 | + | 0.867505i | ||||
\(753\) | −0.193927 | + | 0.200676i | −0.00706709 | + | 0.00731305i | ||||
\(754\) | −27.1983 | − | 15.7029i | −0.990503 | − | 0.571867i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.957668 | − | 3.93071i | 0.0348301 | − | 0.142958i | ||||
\(757\) | 47.7116 | 1.73411 | 0.867054 | − | 0.498214i | \(-0.166011\pi\) | ||||
0.867054 | + | 0.498214i | \(0.166011\pi\) | |||||||
\(758\) | −44.7288 | − | 25.8242i | −1.62462 | − | 0.937977i | ||||
\(759\) | −3.91659 | + | 4.05290i | −0.142163 | + | 0.147111i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −9.91711 | + | 17.1769i | −0.359495 | + | 0.622663i | −0.987876 | − | 0.155242i | \(-0.950384\pi\) |
0.628382 | + | 0.777905i | \(0.283718\pi\) | |||||||
\(762\) | −24.1565 | + | 6.91759i | −0.875098 | + | 0.250598i | ||||
\(763\) | 6.54643 | + | 12.1237i | 0.236997 | + | 0.438907i | ||||
\(764\) | − | 3.73847i | − | 0.135253i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.8740 | − | 8.01017i | 0.501289 | − | 0.289419i | ||||
\(767\) | 6.53974 | − | 3.77572i | 0.236136 | − | 0.136333i | ||||
\(768\) | −11.6242 | − | 2.90258i | −0.419454 | − | 0.104738i | ||||
\(769\) | 10.6337i | 0.383461i | 0.981448 | + | 0.191731i | \(0.0614100\pi\) | ||||
−0.981448 | + | 0.191731i | \(0.938590\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.26096 | + | 21.8635i | 0.225483 | + | 0.787396i | ||||
\(772\) | 3.06339 | − | 5.30595i | 0.110254 | − | 0.190965i | ||||
\(773\) | −7.16138 | − | 12.4039i | −0.257577 | − | 0.446136i | 0.708015 | − | 0.706197i | \(-0.249591\pi\) |
−0.965592 | + | 0.260061i | \(0.916257\pi\) | |||||||
\(774\) | −6.39330 | + | 12.0037i | −0.229802 | + | 0.431464i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 3.42548 | 0.122967 | ||||||||
\(777\) | 8.86150 | + | 34.6448i | 0.317904 | + | 1.24287i | ||||
\(778\) | 25.6508 | 0.919626 | ||||||||
\(779\) | 12.5637 | + | 7.25368i | 0.450142 | + | 0.259890i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.1677 | − | 19.3431i | −0.399613 | − | 0.692149i | ||||
\(782\) | 4.10353 | − | 7.10752i | 0.146742 | − | 0.254165i | ||||
\(783\) | 20.7342 | − | 22.9789i | 0.740980 | − | 0.821200i | ||||
\(784\) | 17.2855 | − | 26.3501i | 0.617338 | − | 0.941075i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 6.00634 | − | 24.0541i | 0.214239 | − | 0.857982i | ||||
\(787\) | 31.9859 | − | 18.4671i | 1.14017 | − | 0.658280i | 0.193700 | − | 0.981061i | \(-0.437951\pi\) |
0.946474 | + | 0.322781i | \(0.104618\pi\) | |||||||
\(788\) | 0.569511 | − | 0.328807i | 0.0202880 | − | 0.0117133i | ||||
\(789\) | −7.43992 | + | 29.7953i | −0.264868 | + | 1.06074i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.705583 | − | 24.7604i | 0.0250876 | − | 0.880378i | ||||
\(792\) | 14.1273 | − | 8.81391i | 0.501991 | − | 0.313189i | ||||
\(793\) | 5.91543 | − | 10.2458i | 0.210063 | − | 0.363840i | ||||
\(794\) | 0.308865 | + | 0.534970i | 0.0109612 | + | 0.0189854i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.35148 | + | 3.66703i | 0.225122 | + | 0.129974i | ||||
\(797\) | 37.4862 | 1.32783 | 0.663914 | − | 0.747809i | \(-0.268894\pi\) | ||||
0.663914 | + | 0.747809i | \(0.268894\pi\) | |||||||
\(798\) | 8.16985 | + | 2.28912i | 0.289210 | + | 0.0810340i | ||||
\(799\) | 21.8268 | 0.772177 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −4.71298 | − | 2.51018i | −0.166525 | − | 0.0886929i | ||||
\(802\) | 21.1895 | + | 36.7012i | 0.748226 | + | 1.29597i | ||||
\(803\) | 7.36392 | − | 12.7547i | 0.259867 | − | 0.450103i | ||||
\(804\) | −1.44780 | − | 5.05578i | −0.0510599 | − | 0.178303i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 16.7487i | 0.589947i | ||||||||
\(807\) | 7.40389 | + | 1.84876i | 0.260629 | + | 0.0650794i | ||||
\(808\) | −30.0274 | + | 17.3363i | −1.05636 | + | 0.609889i | ||||
\(809\) | −22.1518 | + | 12.7893i | −0.778814 | + | 0.449649i | −0.836010 | − | 0.548714i | \(-0.815117\pi\) |
0.0571956 | + | 0.998363i | \(0.481784\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.28791i | 0.255913i | 0.991780 | + | 0.127957i | \(0.0408418\pi\) | ||||
−0.991780 | + | 0.127957i | \(0.959158\pi\) | |||||||
\(812\) | −4.08074 | + | 2.20348i | −0.143206 | + | 0.0773269i | ||||
\(813\) | 39.2786 | − | 11.2480i | 1.37756 | − | 0.394485i | ||||
\(814\) | 12.6963 | − | 21.9907i | 0.445006 | − | 0.770773i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −19.3835 | + | 20.0581i | −0.678559 | + | 0.702175i | ||||
\(817\) | −3.16826 | − | 1.82920i | −0.110844 | − | 0.0639955i | ||||
\(818\) | −3.96956 | −0.138792 | ||||||||
\(819\) | 27.6289 | − | 0.157915i | 0.965432 | − | 0.00551800i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.00729231 | + | 0.00421022i | 0.000254504 | + | 0.000146938i | 0.500127 | − | 0.865952i | \(-0.333287\pi\) |
−0.499873 | + | 0.866099i | \(0.666620\pi\) | |||||||
\(822\) | 19.5173 | − | 20.1966i | 0.680745 | − | 0.704437i | ||||
\(823\) | 15.6119 | + | 27.0406i | 0.544198 | + | 0.942578i | 0.998657 | + | 0.0518103i | \(0.0164991\pi\) |
−0.454459 | + | 0.890767i | \(0.650168\pi\) | |||||||
\(824\) | 7.47553 | − | 12.9480i | 0.260422 | − | 0.451065i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.247637 | − | 8.69011i | 0.00861639 | − | 0.302368i | ||||
\(827\) | 38.3189i | 1.33248i | 0.745738 | + | 0.666239i | \(0.232097\pi\) | ||||
−0.745738 | + | 0.666239i | \(0.767903\pi\) | |||||||
\(828\) | 1.33645 | − | 0.0457300i | 0.0464447 | − | 0.00158923i | ||||
\(829\) | 1.94142 | − | 1.12088i | 0.0674283 | − | 0.0389298i | −0.465907 | − | 0.884834i | \(-0.654272\pi\) |
0.533335 | + | 0.845904i | \(0.320938\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −21.5632 | − | 5.38436i | −0.748020 | − | 0.186781i | ||||
\(832\) | − | 22.6331i | − | 0.784663i | ||||||
\(833\) | −11.2649 | − | 22.3633i | −0.390306 | − | 0.774843i | ||||
\(834\) | 2.96944 | + | 10.3694i | 0.102823 | + | 0.359064i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −0.386384 | − | 0.669237i | −0.0133634 | − | 0.0231460i | ||||
\(837\) | −16.1416 | − | 3.44877i | −0.557934 | − | 0.119207i | ||||
\(838\) | −11.0142 | − | 6.35903i | −0.380478 | − | 0.219669i | ||||
\(839\) | 20.6544 | 0.713069 | 0.356535 | − | 0.934282i | \(-0.383958\pi\) | ||||
0.356535 | + | 0.934282i | \(0.383958\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.47924 | −0.223422 | ||||||||
\(842\) | −10.2967 | − | 5.94479i | −0.354847 | − | 0.204871i | ||||
\(843\) | −26.4543 | − | 25.5646i | −0.911135 | − | 0.880492i | ||||
\(844\) | −0.973362 | − | 1.68591i | −0.0335045 | − | 0.0580315i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 14.6762 | + | 23.5236i | 0.504579 | + | 0.808759i | ||||
\(847\) | −8.85959 | + | 14.3829i | −0.304419 | + | 0.494202i | ||||
\(848\) | 50.5391i | 1.73552i | ||||||||
\(849\) | 2.75018 | − | 11.0139i | 0.0943859 | − | 0.377996i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −10.2363 | + | 5.90993i | −0.350896 | + | 0.202590i | ||||
\(852\) | −1.28383 | + | 5.14147i | −0.0439833 | + | 0.176144i | ||||
\(853\) | − | 7.06831i | − | 0.242014i | −0.992652 | − | 0.121007i | \(-0.961388\pi\) | ||
0.992652 | − | 0.121007i | \(-0.0386124\pi\) | |||||||
\(854\) | −6.47141 | − | 11.9848i | −0.221447 | − | 0.410110i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.02058 | + | 8.69590i | −0.171600 | + | 0.297220i | ||||
\(857\) | −8.41661 | − | 14.5780i | −0.287506 | − | 0.497975i | 0.685708 | − | 0.727877i | \(-0.259493\pi\) |
−0.973214 | + | 0.229902i | \(0.926159\pi\) | |||||||
\(858\) | −14.1080 | − | 13.6335i | −0.481640 | − | 0.465441i | ||||
\(859\) | 30.4698 | + | 17.5918i | 1.03962 | + | 0.600223i | 0.919725 | − | 0.392563i | \(-0.128412\pi\) |
0.119893 | + | 0.992787i | \(0.461745\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 38.8937 | − | 38.0179i | 1.32549 | − | 1.29565i | ||||
\(862\) | 18.5665 | 0.632376 | ||||||||
\(863\) | 32.8880 | + | 18.9879i | 1.11952 | + | 0.646356i | 0.941279 | − | 0.337630i | \(-0.109625\pi\) |
0.178243 | + | 0.983986i | \(0.442959\pi\) | |||||||
\(864\) | −8.39355 | − | 1.79335i | −0.285554 | − | 0.0610110i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −3.89242 | + | 6.74187i | −0.132270 | + | 0.229098i | ||||
\(867\) | −2.00449 | − | 6.99977i | −0.0680761 | − | 0.237725i | ||||
\(868\) | 2.10580 | + | 1.29713i | 0.0714755 | + | 0.0440275i | ||||
\(869\) | − | 4.04491i | − | 0.137214i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 31.1037 | − | 17.9577i | 1.05391 | − | 0.608474i | ||||
\(872\) | 11.6521 | − | 6.72737i | 0.394591 | − | 0.227817i | ||||
\(873\) | 3.97518 | − | 0.136021i | 0.134540 | − | 0.00460362i | ||||
\(874\) | 2.80440i | 0.0948601i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.35932 | + | 0.961992i | −0.113501 | + | 0.0325027i | ||||
\(877\) | 5.72481 | − | 9.91566i | 0.193313 | − | 0.334828i | −0.753033 | − | 0.657983i | \(-0.771410\pi\) |
0.946346 | + | 0.323155i | \(0.104743\pi\) | |||||||
\(878\) | 12.6471 | + | 21.9054i | 0.426819 | + | 0.739272i | ||||
\(879\) | 4.47672 | − | 4.63252i | 0.150996 | − | 0.156251i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 23.6698 | 0.797455 | 0.398728 | − | 0.917069i | \(-0.369452\pi\) | ||||
0.398728 | + | 0.917069i | \(0.369452\pi\) | |||||||
\(882\) | 16.5274 | − | 27.1776i | 0.556506 | − | 0.915118i | ||||
\(883\) | 16.8355 | 0.566560 | 0.283280 | − | 0.959037i | \(-0.408577\pi\) | ||||
0.283280 | + | 0.959037i | \(0.408577\pi\) | |||||||
\(884\) | 3.17346 | + | 1.83220i | 0.106735 | + | 0.0616236i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.191017 | − | 0.330852i | −0.00641735 | − | 0.0111152i | ||||
\(887\) | −26.2917 | + | 45.5385i | −0.882789 | + | 1.52903i | −0.0345613 | + | 0.999403i | \(0.511003\pi\) |
−0.848227 | + | 0.529632i | \(0.822330\pi\) | |||||||
\(888\) | 33.5712 | − | 9.61362i | 1.12657 | − | 0.322612i | ||||
\(889\) | −25.3301 | − | 0.721818i | −0.849546 | − | 0.0242090i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 16.0444 | − | 10.7893i | 0.537507 | − | 0.361455i | ||||
\(892\) | −1.09849 | + | 0.634214i | −0.0367802 | + | 0.0212350i | ||||
\(893\) | −6.45910 | + | 3.72917i | −0.216146 | + | 0.124792i | ||||
\(894\) | −6.47474 | − | 1.61675i | −0.216548 | − | 0.0540722i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −29.6273 | − | 18.2498i | −0.989778 | − | 0.609685i | ||||
\(897\) | 2.51414 | + | 8.77950i | 0.0839448 | + | 0.293139i | ||||
\(898\) | −21.8652 | + | 37.8717i | −0.729653 | + | 1.26380i | ||||
\(899\) | 9.46050 | + | 16.3861i | 0.315525 | + | 0.546506i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.7774 | + | 20.0788i | 1.15860 | + | 0.668921i | ||||
\(902\) | −38.6201 | −1.28591 | ||||||||
\(903\) | −9.80803 | + | 9.58717i | −0.326391 | + | 0.319041i | ||||
\(904\) | −24.1889 | −0.804510 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 10.6008 | + | 10.2443i | 0.352188 | + | 0.340343i | ||||
\(907\) | 25.3858 | + | 43.9694i | 0.842920 | + | 1.45998i | 0.887415 | + | 0.460971i | \(0.152499\pi\) |
−0.0444946 | + | 0.999010i | \(0.514168\pi\) | |||||||
\(908\) | 1.63491 | − | 2.83174i | 0.0542563 | − | 0.0939747i | ||||
\(909\) | −34.1577 | + | 21.3107i | −1.13294 | + | 0.706832i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.1165i | 0.533963i | 0.963702 | + | 0.266981i | \(0.0860262\pi\) | ||||
−0.963702 | + | 0.266981i | \(0.913974\pi\) | |||||||
\(912\) | 2.30909 | − | 9.24743i | 0.0764617 | − | 0.306213i | ||||
\(913\) | −16.9394 | + | 9.77999i | −0.560614 | + | 0.323671i | ||||
\(914\) | 31.5787 | − | 18.2319i | 1.04453 | − | 0.603059i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 2.93515i | − | 0.0969802i | ||||||
\(917\) | 13.1131 | − | 21.2882i | 0.433033 | − | 0.702997i | ||||
\(918\) | −18.8610 | + | 20.9029i | −0.622506 | + | 0.689900i | ||||
\(919\) | 19.8721 | − | 34.4194i | 0.655519 | − | 1.13539i | −0.326245 | − | 0.945285i | \(-0.605783\pi\) |
0.981763 | − | 0.190106i | \(-0.0608833\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.9624 | + | 13.4928i | 0.460077 | + | 0.444604i | ||||
\(922\) | −52.3010 | − | 30.1960i | −1.72244 | − | 0.994452i | ||||
\(923\) | −36.1909 | −1.19124 | ||||||||
\(924\) | −2.80676 | + | 0.717917i | −0.0923355 | + | 0.0236177i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −39.1451 | − | 22.6004i | −1.28639 | − | 0.742696i | ||||
\(927\) | 8.16102 | − | 15.3227i | 0.268043 | − | 0.503263i | ||||
\(928\) | 4.91942 | + | 8.52069i | 0.161488 | + | 0.279705i | ||||
\(929\) | 18.2593 | − | 31.6261i | 0.599069 | − | 1.03762i | −0.393889 | − | 0.919158i | \(-0.628871\pi\) |
0.992959 | − | 0.118461i | \(-0.0377960\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.15440 | + | 4.69323i | 0.234476 | + | 0.153814i | ||||
\(932\) | 6.07063i | 0.198850i | ||||||||
\(933\) | 31.7959 | + | 7.93946i | 1.04095 | + | 0.259926i | ||||
\(934\) | −5.48530 | + | 3.16694i | −0.179484 | + | 0.103625i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.922672 | − | 26.9649i | −0.0301585 | − | 0.881375i | ||||
\(937\) | 7.60980i | 0.248601i | 0.992245 | + | 0.124301i | \(0.0396687\pi\) | ||||
−0.992245 | + | 0.124301i | \(0.960331\pi\) | |||||||
\(938\) | 1.17779 | − | 41.3311i | 0.0384561 | − | 1.34951i | ||||
\(939\) | −27.2755 | + | 7.81075i | −0.890102 | + | 0.254894i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −11.0121 | − | 19.0735i | −0.358985 | − | 0.621780i | 0.628807 | − | 0.777562i | \(-0.283544\pi\) |
−0.987791 | + | 0.155782i | \(0.950210\pi\) | |||||||
\(942\) | −25.3848 | + | 26.2682i | −0.827081 | + | 0.855866i | ||||
\(943\) | 15.5686 | + | 8.98853i | 0.506983 | + | 0.292707i | ||||
\(944\) | −9.76632 | −0.317867 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.73904 | 0.316644 | ||||||||
\(947\) | 42.6589 | + | 24.6291i | 1.38623 | + | 0.800339i | 0.992888 | − | 0.119053i | \(-0.0379860\pi\) |
0.393341 | + | 0.919393i | \(0.371319\pi\) | |||||||
\(948\) | −0.666906 | + | 0.690116i | −0.0216601 | + | 0.0224139i | ||||
\(949\) | −11.9320 | − | 20.6669i | −0.387330 | − | 0.670875i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 16.8456 | − | 4.82399i | 0.546255 | − | 0.156429i | ||||
\(952\) | −21.5160 | + | 11.6180i | −0.697339 | + | 0.376542i | ||||
\(953\) | 10.2538i | 0.332154i | 0.986113 | + | 0.166077i | \(0.0531101\pi\) | ||||
−0.986113 | + | 0.166077i | \(0.946890\pi\) | |||||||
\(954\) | 1.74448 | + | 50.9819i | 0.0564795 | + | 1.65060i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −0.732331 | + | 0.422811i | −0.0236853 | + | 0.0136747i | ||||
\(957\) | −21.5035 | − | 5.36945i | −0.695109 | − | 0.173570i | ||||
\(958\) | − | 42.3131i | − | 1.36708i | ||||||
\(959\) | 24.9229 | − | 13.4576i | 0.804801 | − | 0.434569i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.4547 | + | 18.1081i | −0.337250 | + | 0.584134i | ||||
\(962\) | −20.5723 | − | 35.6323i | −0.663278 | − | 1.14883i | ||||
\(963\) | −5.48096 | + | 10.2907i | −0.176622 | + | 0.331615i | ||||
\(964\) | 6.64460 | + | 3.83626i | 0.214008 | + | 0.123558i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 10.1238 | + | 2.83661i | 0.325729 | + | 0.0912663i | ||||
\(967\) | 4.62632 | 0.148772 | 0.0743862 | − | 0.997230i | \(-0.476300\pi\) | ||||
0.0743862 | + | 0.997230i | \(0.476300\pi\) | |||||||
\(968\) | 14.2859 | + | 8.24799i | 0.459168 | + | 0.265101i | ||||
\(969\) | −5.44605 | − | 5.26288i | −0.174952 | − | 0.169068i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −12.6443 | + | 21.9006i | −0.405775 | + | 0.702822i | −0.994411 | − | 0.105575i | \(-0.966332\pi\) |
0.588637 | + | 0.808398i | \(0.299665\pi\) | |||||||
\(972\) | −4.51628 | − | 0.804521i | −0.144860 | − | 0.0258050i | ||||
\(973\) | −0.309848 | + | 10.8732i | −0.00993326 | + | 0.348579i | ||||
\(974\) | 56.4119i | 1.80755i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.2510 | + | 7.65046i | −0.424154 | + | 0.244885i | ||||
\(977\) | 20.8797 | − | 12.0549i | 0.668000 | − | 0.385670i | −0.127318 | − | 0.991862i | \(-0.540637\pi\) |
0.795318 | + | 0.606192i | \(0.207304\pi\) | |||||||
\(978\) | −2.58725 | + | 10.3614i | −0.0827313 | + | 0.331321i | ||||
\(979\) | 3.82381i | 0.122210i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.2549 | − | 8.26964i | 0.423196 | − | 0.264029i | ||||
\(982\) | 4.47267 | − | 7.74688i | 0.142728 | − | 0.247213i | ||||
\(983\) | 24.0441 | + | 41.6456i | 0.766888 | + | 1.32829i | 0.939243 | + | 0.343254i | \(0.111529\pi\) |
−0.172354 | + | 0.985035i | \(0.555137\pi\) | |||||||
\(984\) | −38.1921 | − | 36.9076i | −1.21752 | − | 1.17657i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 32.2739 | 1.02781 | ||||||||
\(987\) | 6.92894 | + | 27.0893i | 0.220550 | + | 0.862261i | ||||
\(988\) | −1.25214 | −0.0398360 | ||||||||
\(989\) | −3.92601 | − | 2.26668i | −0.124840 | − | 0.0720764i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −14.8587 | − | 25.7361i | −0.472003 | − | 0.817534i | 0.527483 | − | 0.849565i | \(-0.323136\pi\) |
−0.999487 | + | 0.0320314i | \(0.989802\pi\) | |||||||
\(992\) | 2.62352 | − | 4.54406i | 0.0832967 | − | 0.144274i | ||||
\(993\) | 9.19119 | + | 32.0960i | 0.291674 | + | 1.01854i | ||||
\(994\) | −21.8519 | + | 35.4749i | −0.693099 | + | 1.12520i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 4.50258 | + | 1.12430i | 0.142670 | + | 0.0356248i | ||||
\(997\) | −23.1647 | + | 13.3742i | −0.733634 | + | 0.423564i | −0.819750 | − | 0.572721i | \(-0.805888\pi\) |
0.0861161 | + | 0.996285i | \(0.472554\pi\) | |||||||
\(998\) | −24.5826 | + | 14.1928i | −0.778149 | + | 0.449265i | ||||
\(999\) | 38.5768 | − | 12.4894i | 1.22052 | − | 0.395148i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))