Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 16.26 | ||
Character | \(\chi\) | \(=\) | 441.16 |
Dual form | 441.2.z.a.193.26 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{10}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.216388 | − | 0.0326152i | −0.153009 | − | 0.0230624i | 0.0720909 | − | 0.997398i | \(-0.477033\pi\) |
−0.225100 | + | 0.974336i | \(0.572271\pi\) | |||||||
\(3\) | 1.18684 | + | 1.26151i | 0.685223 | + | 0.728333i | ||||
\(4\) | −1.86539 | − | 0.575395i | −0.932693 | − | 0.287698i | ||||
\(5\) | −1.19731 | − | 0.576594i | −0.535453 | − | 0.257861i | 0.146558 | − | 0.989202i | \(-0.453180\pi\) |
−0.682012 | + | 0.731341i | \(0.738895\pi\) | |||||||
\(6\) | −0.215674 | − | 0.311684i | −0.0880484 | − | 0.127245i | ||||
\(7\) | 0.0273616 | − | 2.64561i | 0.0103417 | − | 0.999947i | ||||
\(8\) | 0.779202 | + | 0.375244i | 0.275489 | + | 0.132669i | ||||
\(9\) | −0.182814 | + | 2.99442i | −0.0609382 | + | 0.998142i | ||||
\(10\) | 0.240278 | + | 0.163818i | 0.0759824 | + | 0.0518040i | ||||
\(11\) | 2.70091 | − | 3.38684i | 0.814356 | − | 1.02117i | −0.184906 | − | 0.982756i | \(-0.559198\pi\) |
0.999262 | − | 0.0384137i | \(-0.0122305\pi\) | |||||||
\(12\) | −1.48805 | − | 3.03611i | −0.429563 | − | 0.876448i | ||||
\(13\) | 2.80089 | + | 0.422166i | 0.776827 | + | 0.117088i | 0.525476 | − | 0.850808i | \(-0.323887\pi\) |
0.251351 | + | 0.967896i | \(0.419125\pi\) | |||||||
\(14\) | −0.0922078 | + | 0.571585i | −0.0246436 | + | 0.152763i | ||||
\(15\) | −0.693638 | − | 2.19474i | −0.179097 | − | 0.566681i | ||||
\(16\) | 3.06945 | + | 2.09272i | 0.767363 | + | 0.523179i | ||||
\(17\) | −0.953806 | + | 0.294210i | −0.231332 | + | 0.0713564i | −0.408254 | − | 0.912868i | \(-0.633862\pi\) |
0.176922 | + | 0.984225i | \(0.443386\pi\) | |||||||
\(18\) | 0.137223 | − | 0.641994i | 0.0323437 | − | 0.151320i | ||||
\(19\) | 3.59208 | − | 6.22166i | 0.824079 | − | 1.42735i | −0.0785422 | − | 0.996911i | \(-0.525027\pi\) |
0.902621 | − | 0.430436i | \(-0.141640\pi\) | |||||||
\(20\) | 1.90168 | + | 1.76450i | 0.425228 | + | 0.394554i | ||||
\(21\) | 3.36994 | − | 3.10540i | 0.735381 | − | 0.677654i | ||||
\(22\) | −0.694907 | + | 0.644779i | −0.148155 | + | 0.137467i | ||||
\(23\) | −0.999505 | − | 4.37912i | −0.208411 | − | 0.913109i | −0.965624 | − | 0.259941i | \(-0.916297\pi\) |
0.757213 | − | 0.653168i | \(-0.226560\pi\) | |||||||
\(24\) | 0.451415 | + | 1.42833i | 0.0921447 | + | 0.291556i | ||||
\(25\) | −2.01636 | − | 2.52843i | −0.403272 | − | 0.505687i | ||||
\(26\) | −0.592309 | − | 0.182703i | −0.116161 | − | 0.0358310i | ||||
\(27\) | −3.99447 | + | 3.32329i | −0.768736 | + | 0.639567i | ||||
\(28\) | −1.57331 | + | 4.91934i | −0.297328 | + | 0.929668i | ||||
\(29\) | 5.99192 | + | 5.55969i | 1.11267 | + | 1.03241i | 0.999245 | + | 0.0388621i | \(0.0123733\pi\) |
0.113427 | + | 0.993546i | \(0.463817\pi\) | |||||||
\(30\) | 0.0785128 | + | 0.497539i | 0.0143344 | + | 0.0908378i | ||||
\(31\) | 2.40134 | − | 4.15924i | 0.431293 | − | 0.747022i | −0.565692 | − | 0.824617i | \(-0.691391\pi\) |
0.996985 | + | 0.0775947i | \(0.0247240\pi\) | |||||||
\(32\) | −1.86390 | − | 1.72944i | −0.329493 | − | 0.305725i | ||||
\(33\) | 7.47808 | − | 0.612411i | 1.30177 | − | 0.106607i | ||||
\(34\) | 0.215988 | − | 0.0325549i | 0.0370416 | − | 0.00558312i | ||||
\(35\) | −1.55820 | + | 3.15184i | −0.263384 | + | 0.532758i | ||||
\(36\) | 2.06400 | − | 5.48057i | 0.344000 | − | 0.913428i | ||||
\(37\) | −1.17564 | − | 1.09083i | −0.193274 | − | 0.179332i | 0.577600 | − | 0.816320i | \(-0.303989\pi\) |
−0.770873 | + | 0.636988i | \(0.780180\pi\) | |||||||
\(38\) | −0.980202 | + | 1.22913i | −0.159010 | + | 0.199392i | ||||
\(39\) | 2.79164 | + | 4.03439i | 0.447021 | + | 0.646020i | ||||
\(40\) | −0.716583 | − | 0.898566i | −0.113302 | − | 0.142076i | ||||
\(41\) | 0.615705 | + | 8.21601i | 0.0961569 | + | 1.28312i | 0.811500 | + | 0.584352i | \(0.198651\pi\) |
−0.715344 | + | 0.698773i | \(0.753730\pi\) | |||||||
\(42\) | −0.830497 | + | 0.562060i | −0.128148 | + | 0.0867277i | ||||
\(43\) | 0.324880 | − | 4.33522i | 0.0495437 | − | 0.661115i | −0.916051 | − | 0.401062i | \(-0.868641\pi\) |
0.965594 | − | 0.260053i | \(-0.0837399\pi\) | |||||||
\(44\) | −6.98701 | + | 4.76367i | −1.05333 | + | 0.718150i | ||||
\(45\) | 1.94545 | − | 3.47985i | 0.290011 | − | 0.518745i | ||||
\(46\) | 0.0734548 | + | 0.980186i | 0.0108303 | + | 0.144521i | ||||
\(47\) | −1.87624 | − | 0.282797i | −0.273677 | − | 0.0412502i | 0.0107697 | − | 0.999942i | \(-0.496572\pi\) |
−0.284447 | + | 0.958692i | \(0.591810\pi\) | |||||||
\(48\) | 1.00297 | + | 6.35587i | 0.144766 | + | 0.917390i | ||||
\(49\) | −6.99850 | − | 0.144776i | −0.999786 | − | 0.0206823i | ||||
\(50\) | 0.353850 | + | 0.612886i | 0.0500419 | + | 0.0866752i | ||||
\(51\) | −1.50317 | − | 0.854055i | −0.210485 | − | 0.119592i | ||||
\(52\) | −4.98183 | − | 2.39912i | −0.690855 | − | 0.332698i | ||||
\(53\) | −2.03138 | + | 1.88484i | −0.279031 | + | 0.258903i | −0.807256 | − | 0.590201i | \(-0.799048\pi\) |
0.528225 | + | 0.849105i | \(0.322858\pi\) | |||||||
\(54\) | 0.972744 | − | 0.588838i | 0.132374 | − | 0.0801307i | ||||
\(55\) | −5.18666 | + | 2.49776i | −0.699369 | + | 0.336798i | ||||
\(56\) | 1.01407 | − | 2.05120i | 0.135511 | − | 0.274103i | ||||
\(57\) | 12.1119 | − | 2.85268i | 1.60426 | − | 0.377847i | ||||
\(58\) | −1.11525 | − | 1.39848i | −0.146439 | − | 0.183629i | ||||
\(59\) | −0.904459 | + | 12.0692i | −0.117751 | + | 1.57127i | 0.555284 | + | 0.831661i | \(0.312610\pi\) |
−0.673034 | + | 0.739611i | \(0.735009\pi\) | |||||||
\(60\) | 0.0310570 | + | 4.49316i | 0.00400944 | + | 0.580065i | ||||
\(61\) | 2.93934 | − | 0.906665i | 0.376343 | − | 0.116087i | −0.100812 | − | 0.994905i | \(-0.532144\pi\) |
0.477155 | + | 0.878819i | \(0.341668\pi\) | |||||||
\(62\) | −0.655275 | + | 0.821689i | −0.0832201 | + | 0.104355i | ||||
\(63\) | 7.91708 | + | 0.565588i | 0.997458 | + | 0.0712574i | ||||
\(64\) | −4.28557 | − | 5.37394i | −0.535697 | − | 0.671742i | ||||
\(65\) | −3.11012 | − | 2.12044i | −0.385762 | − | 0.263008i | ||||
\(66\) | −1.63814 | − | 0.111381i | −0.201641 | − | 0.0137101i | ||||
\(67\) | −3.23016 | + | 5.59479i | −0.394626 | + | 0.683513i | −0.993053 | − | 0.117664i | \(-0.962459\pi\) |
0.598427 | + | 0.801177i | \(0.295793\pi\) | |||||||
\(68\) | 1.94850 | 0.236291 | ||||||||
\(69\) | 4.33805 | − | 6.45820i | 0.522239 | − | 0.777476i | ||||
\(70\) | 0.439974 | − | 0.631198i | 0.0525870 | − | 0.0754426i | ||||
\(71\) | −2.10648 | − | 9.22908i | −0.249993 | − | 1.09529i | −0.931575 | − | 0.363549i | \(-0.881565\pi\) |
0.681582 | − | 0.731742i | \(-0.261292\pi\) | |||||||
\(72\) | −1.26609 | + | 2.26466i | −0.149210 | + | 0.266893i | ||||
\(73\) | 2.38757 | − | 6.08344i | 0.279444 | − | 0.712012i | −0.720386 | − | 0.693574i | \(-0.756035\pi\) |
0.999830 | − | 0.0184388i | \(-0.00586957\pi\) | |||||||
\(74\) | 0.218816 | + | 0.274386i | 0.0254368 | + | 0.0318968i | ||||
\(75\) | 0.796546 | − | 5.54450i | 0.0919772 | − | 0.640224i | ||||
\(76\) | −10.2805 | + | 9.53893i | −1.17926 | + | 1.09419i | ||||
\(77\) | −8.88635 | − | 7.23823i | −1.01269 | − | 0.824873i | ||||
\(78\) | −0.472495 | − | 0.964044i | −0.0534996 | − | 0.109156i | ||||
\(79\) | −5.23028 | − | 9.05911i | −0.588452 | − | 1.01923i | −0.994435 | − | 0.105349i | \(-0.966404\pi\) |
0.405983 | − | 0.913881i | \(-0.366929\pi\) | |||||||
\(80\) | −2.46844 | − | 4.27546i | −0.275980 | − | 0.478011i | ||||
\(81\) | −8.93316 | − | 1.09485i | −0.992573 | − | 0.121650i | ||||
\(82\) | 0.134736 | − | 1.79793i | 0.0148791 | − | 0.198548i | ||||
\(83\) | 10.6860 | − | 1.61065i | 1.17294 | − | 0.176792i | 0.466469 | − | 0.884538i | \(-0.345526\pi\) |
0.706467 | + | 0.707746i | \(0.250288\pi\) | |||||||
\(84\) | −8.07307 | + | 3.85373i | −0.880844 | + | 0.420476i | ||||
\(85\) | 1.31164 | + | 0.197698i | 0.142267 | + | 0.0214434i | ||||
\(86\) | −0.211694 | + | 0.927493i | −0.0228276 | + | 0.100014i | ||||
\(87\) | 0.0978562 | + | 14.1573i | 0.0104913 | + | 1.51783i | ||||
\(88\) | 3.37545 | − | 1.62553i | 0.359824 | − | 0.173282i | ||||
\(89\) | −10.6163 | + | 1.60015i | −1.12533 | + | 0.169616i | −0.685226 | − | 0.728331i | \(-0.740296\pi\) |
−0.440104 | + | 0.897947i | \(0.645058\pi\) | |||||||
\(90\) | −0.534468 | + | 0.689545i | −0.0563379 | + | 0.0726844i | ||||
\(91\) | 1.19352 | − | 7.39851i | 0.125115 | − | 0.775575i | ||||
\(92\) | −0.655261 | + | 8.74385i | −0.0683157 | + | 0.911610i | ||||
\(93\) | 8.09694 | − | 1.90705i | 0.839613 | − | 0.197752i | ||||
\(94\) | 0.396771 | + | 0.122388i | 0.0409238 | + | 0.0126233i | ||||
\(95\) | −7.88820 | + | 5.37809i | −0.809313 | + | 0.551780i | ||||
\(96\) | −0.0304400 | − | 4.40390i | −0.00310676 | − | 0.449471i | ||||
\(97\) | 2.35316 | − | 4.07579i | 0.238927 | − | 0.413833i | −0.721480 | − | 0.692435i | \(-0.756538\pi\) |
0.960407 | + | 0.278602i | \(0.0898711\pi\) | |||||||
\(98\) | 1.50967 | + | 0.259585i | 0.152500 | + | 0.0262221i | ||||
\(99\) | 9.64786 | + | 8.70684i | 0.969647 | + | 0.875071i | ||||
\(100\) | 2.30644 | + | 5.87671i | 0.230644 | + | 0.587671i | ||||
\(101\) | 2.21114 | + | 1.06483i | 0.220016 | + | 0.105954i | 0.540646 | − | 0.841251i | \(-0.318180\pi\) |
−0.320629 | + | 0.947205i | \(0.603894\pi\) | |||||||
\(102\) | 0.297411 | + | 0.233833i | 0.0294481 | + | 0.0231529i | ||||
\(103\) | 8.92052 | + | 4.29590i | 0.878965 | + | 0.423287i | 0.818246 | − | 0.574868i | \(-0.194947\pi\) |
0.0607185 | + | 0.998155i | \(0.480661\pi\) | |||||||
\(104\) | 2.02404 | + | 1.37997i | 0.198474 | + | 0.135317i | ||||
\(105\) | −5.82542 | + | 1.77504i | −0.568503 | + | 0.173227i | ||||
\(106\) | 0.501040 | − | 0.341604i | 0.0486653 | − | 0.0331795i | ||||
\(107\) | −5.72229 | + | 0.862497i | −0.553195 | + | 0.0833807i | −0.419690 | − | 0.907667i | \(-0.637861\pi\) |
−0.133505 | + | 0.991048i | \(0.542623\pi\) | |||||||
\(108\) | 9.36343 | − | 3.90081i | 0.900996 | − | 0.375356i | ||||
\(109\) | 8.76790 | + | 1.32155i | 0.839812 | + | 0.126581i | 0.554843 | − | 0.831955i | \(-0.312778\pi\) |
0.284969 | + | 0.958537i | \(0.408017\pi\) | |||||||
\(110\) | 1.20380 | − | 0.371322i | 0.114777 | − | 0.0354041i | ||||
\(111\) | −0.0191998 | − | 2.77772i | −0.00182236 | − | 0.263650i | ||||
\(112\) | 5.62050 | − | 8.06331i | 0.531087 | − | 0.761911i | ||||
\(113\) | −6.87135 | + | 17.5079i | −0.646402 | + | 1.64701i | 0.110813 | + | 0.993841i | \(0.464654\pi\) |
−0.757216 | + | 0.653165i | \(0.773441\pi\) | |||||||
\(114\) | −2.71391 | + | 0.222253i | −0.254181 | + | 0.0208159i | ||||
\(115\) | −1.32826 | + | 5.81947i | −0.123861 | + | 0.542668i | ||||
\(116\) | −7.97822 | − | 13.8187i | −0.740759 | − | 1.28303i | ||||
\(117\) | −1.77619 | + | 8.30987i | −0.164209 | + | 0.768248i | ||||
\(118\) | 0.589353 | − | 2.58212i | 0.0542543 | − | 0.237704i | ||||
\(119\) | 0.752267 | + | 2.53145i | 0.0689602 | + | 0.232057i | ||||
\(120\) | 0.283080 | − | 1.97043i | 0.0258416 | − | 0.179875i | ||||
\(121\) | −1.72801 | − | 7.57090i | −0.157092 | − | 0.688263i | ||||
\(122\) | −0.665608 | + | 0.100324i | −0.0602613 | + | 0.00908293i | ||||
\(123\) | −9.63383 | + | 10.5278i | −0.868653 | + | 0.949261i | ||||
\(124\) | −6.87264 | + | 6.37687i | −0.617181 | + | 0.572660i | ||||
\(125\) | 2.43488 | + | 10.6679i | 0.217783 | + | 0.954167i | ||||
\(126\) | −1.69471 | − | 0.380603i | −0.150977 | − | 0.0339069i | ||||
\(127\) | −3.13207 | + | 13.7225i | −0.277927 | + | 1.21768i | 0.622483 | + | 0.782633i | \(0.286124\pi\) |
−0.900410 | + | 0.435043i | \(0.856733\pi\) | |||||||
\(128\) | 3.29472 | + | 5.70663i | 0.291215 | + | 0.504400i | ||||
\(129\) | 5.85451 | − | 4.73538i | 0.515461 | − | 0.416927i | ||||
\(130\) | 0.603832 | + | 0.560275i | 0.0529596 | + | 0.0491393i | ||||
\(131\) | −1.27319 | + | 0.613138i | −0.111240 | + | 0.0535702i | −0.488676 | − | 0.872465i | \(-0.662520\pi\) |
0.377436 | + | 0.926036i | \(0.376806\pi\) | |||||||
\(132\) | −14.3019 | − | 3.16047i | −1.24482 | − | 0.275084i | ||||
\(133\) | −16.3618 | − | 9.67347i | −1.41875 | − | 0.838796i | ||||
\(134\) | 0.881442 | − | 1.10529i | 0.0761450 | − | 0.0954828i | ||||
\(135\) | 6.69880 | − | 1.67582i | 0.576541 | − | 0.144231i | ||||
\(136\) | −0.853607 | − | 0.128661i | −0.0731962 | − | 0.0110326i | ||||
\(137\) | 3.29861 | − | 1.58853i | 0.281820 | − | 0.135717i | −0.287635 | − | 0.957740i | \(-0.592869\pi\) |
0.569454 | + | 0.822023i | \(0.307155\pi\) | |||||||
\(138\) | −1.14934 | + | 1.25599i | −0.0978380 | + | 0.106917i | ||||
\(139\) | 1.12325 | + | 14.9888i | 0.0952730 | + | 1.27133i | 0.815976 | + | 0.578086i | \(0.196200\pi\) |
−0.720703 | + | 0.693244i | \(0.756181\pi\) | |||||||
\(140\) | 4.72020 | − | 4.98281i | 0.398930 | − | 0.421125i | ||||
\(141\) | −1.87004 | − | 2.70253i | −0.157486 | − | 0.227594i | ||||
\(142\) | 0.154808 | + | 2.06576i | 0.0129912 | + | 0.173355i | ||||
\(143\) | 8.99477 | − | 8.34592i | 0.752180 | − | 0.697921i | ||||
\(144\) | −6.82762 | + | 8.80866i | −0.568968 | + | 0.734055i | ||||
\(145\) | −3.96850 | − | 10.1116i | −0.329566 | − | 0.839721i | ||||
\(146\) | −0.715054 | + | 1.23851i | −0.0591783 | + | 0.102500i | ||||
\(147\) | −8.12348 | − | 9.00051i | −0.670013 | − | 0.742349i | ||||
\(148\) | 1.56536 | + | 2.71128i | 0.128672 | + | 0.222866i | ||||
\(149\) | −9.95997 | + | 12.4894i | −0.815952 | + | 1.02317i | 0.183243 | + | 0.983068i | \(0.441340\pi\) |
−0.999195 | + | 0.0401044i | \(0.987231\pi\) | |||||||
\(150\) | −0.353198 | + | 1.17378i | −0.0288385 | + | 0.0958390i | ||||
\(151\) | 2.90858 | + | 12.7433i | 0.236697 | + | 1.03704i | 0.943953 | + | 0.330080i | \(0.107076\pi\) |
−0.707256 | + | 0.706958i | \(0.750067\pi\) | |||||||
\(152\) | 5.13359 | − | 3.50002i | 0.416389 | − | 0.283889i | ||||
\(153\) | −0.706620 | − | 2.90988i | −0.0571269 | − | 0.235250i | ||||
\(154\) | 1.68682 | + | 1.85609i | 0.135928 | + | 0.149568i | ||||
\(155\) | −5.27335 | + | 3.59531i | −0.423565 | + | 0.288782i | ||||
\(156\) | −2.88612 | − | 9.13200i | −0.231075 | − | 0.731145i | ||||
\(157\) | 1.70270 | − | 22.7209i | 0.135890 | − | 1.81333i | −0.347235 | − | 0.937778i | \(-0.612880\pi\) |
0.483126 | − | 0.875551i | \(-0.339501\pi\) | |||||||
\(158\) | 0.836304 | + | 2.13087i | 0.0665327 | + | 0.169523i | ||||
\(159\) | −4.78868 | − | 0.325593i | −0.379767 | − | 0.0258212i | ||||
\(160\) | 1.23447 | + | 3.14539i | 0.0975938 | + | 0.248665i | ||||
\(161\) | −11.6128 | + | 2.52448i | −0.915215 | + | 0.198957i | ||||
\(162\) | 1.89732 | + | 0.528269i | 0.149067 | + | 0.0415047i | ||||
\(163\) | −0.606944 | + | 8.09910i | −0.0475395 | + | 0.634370i | 0.921645 | + | 0.388034i | \(0.126846\pi\) |
−0.969184 | + | 0.246336i | \(0.920773\pi\) | |||||||
\(164\) | 3.57893 | − | 15.6803i | 0.279467 | − | 1.22443i | ||||
\(165\) | −9.30670 | − | 3.57857i | −0.724526 | − | 0.278592i | ||||
\(166\) | −2.36484 | −0.183547 | ||||||||
\(167\) | 16.7582 | − | 5.16923i | 1.29679 | − | 0.400007i | 0.431880 | − | 0.901931i | \(-0.357851\pi\) |
0.864912 | + | 0.501924i | \(0.167374\pi\) | |||||||
\(168\) | 3.79114 | − | 1.15519i | 0.292493 | − | 0.0891246i | ||||
\(169\) | −4.75569 | − | 1.46694i | −0.365822 | − | 0.112841i | ||||
\(170\) | −0.277375 | − | 0.0855589i | −0.0212737 | − | 0.00656207i | ||||
\(171\) | 17.9736 | + | 11.8936i | 1.37448 | + | 0.909527i | ||||
\(172\) | −3.10049 | + | 7.89993i | −0.236410 | + | 0.602364i | ||||
\(173\) | 14.0000 | − | 12.9901i | 1.06440 | − | 0.987619i | 0.0644531 | − | 0.997921i | \(-0.479470\pi\) |
0.999947 | + | 0.0103019i | \(0.00327924\pi\) | |||||||
\(174\) | 0.440570 | − | 3.06667i | 0.0333995 | − | 0.232483i | ||||
\(175\) | −6.74442 | + | 5.26531i | −0.509830 | + | 0.398020i | ||||
\(176\) | 15.3780 | − | 4.74349i | 1.15916 | − | 0.357554i | ||||
\(177\) | −16.2988 | + | 13.1832i | −1.22510 | + | 0.990911i | ||||
\(178\) | 2.34943 | 0.176098 | ||||||||
\(179\) | 8.19405 | − | 2.52753i | 0.612452 | − | 0.188916i | 0.0270160 | − | 0.999635i | \(-0.491399\pi\) |
0.585436 | + | 0.810719i | \(0.300923\pi\) | |||||||
\(180\) | −5.63131 | + | 5.37185i | −0.419733 | + | 0.400394i | ||||
\(181\) | 15.5482 | + | 19.4969i | 1.15569 | + | 1.44919i | 0.871481 | + | 0.490430i | \(0.163160\pi\) |
0.284211 | + | 0.958762i | \(0.408268\pi\) | |||||||
\(182\) | −0.499568 | + | 1.56202i | −0.0370304 | + | 0.115785i | ||||
\(183\) | 4.63229 | + | 2.63193i | 0.342429 | + | 0.194558i | ||||
\(184\) | 0.864420 | − | 3.78727i | 0.0637259 | − | 0.279201i | ||||
\(185\) | 0.778635 | + | 1.98393i | 0.0572464 | + | 0.145861i | ||||
\(186\) | −1.81428 | + | 0.148579i | −0.133029 | + | 0.0108943i | ||||
\(187\) | −1.57970 | + | 4.02502i | −0.115519 | + | 0.294339i | ||||
\(188\) | 3.33718 | + | 1.60710i | 0.243389 | + | 0.117210i | ||||
\(189\) | 8.68282 | + | 10.6587i | 0.631582 | + | 0.775309i | ||||
\(190\) | 1.88232 | − | 0.906477i | 0.136558 | − | 0.0657627i | ||||
\(191\) | −0.191188 | − | 2.55123i | −0.0138339 | − | 0.184601i | −0.999840 | − | 0.0178910i | \(-0.994305\pi\) |
0.986006 | − | 0.166710i | \(-0.0533142\pi\) | |||||||
\(192\) | 1.69298 | − | 11.7843i | 0.122180 | − | 0.850459i | ||||
\(193\) | 2.28054 | − | 1.55485i | 0.164157 | − | 0.111920i | −0.478455 | − | 0.878112i | \(-0.658803\pi\) |
0.642612 | + | 0.766192i | \(0.277851\pi\) | |||||||
\(194\) | −0.642127 | + | 0.805202i | −0.0461020 | + | 0.0578101i | ||||
\(195\) | −1.01626 | − | 6.44007i | −0.0727757 | − | 0.461183i | ||||
\(196\) | 12.9716 | + | 4.29697i | 0.926543 | + | 0.306926i | ||||
\(197\) | 7.46059 | 0.531545 | 0.265773 | − | 0.964036i | \(-0.414373\pi\) | ||||
0.265773 | + | 0.964036i | \(0.414373\pi\) | |||||||
\(198\) | −1.80370 | − | 2.19872i | −0.128184 | − | 0.156256i | ||||
\(199\) | −1.17741 | − | 15.7114i | −0.0834641 | − | 1.11375i | −0.868959 | − | 0.494884i | \(-0.835211\pi\) |
0.785495 | − | 0.618868i | \(-0.212408\pi\) | |||||||
\(200\) | −0.622371 | − | 2.72678i | −0.0440083 | − | 0.192813i | ||||
\(201\) | −10.8916 | + | 2.56526i | −0.768232 | + | 0.180940i | ||||
\(202\) | −0.443734 | − | 0.302532i | −0.0312210 | − | 0.0212861i | ||||
\(203\) | 14.8727 | − | 15.7002i | 1.04386 | − | 1.10194i | ||||
\(204\) | 2.31256 | + | 2.45806i | 0.161912 | + | 0.172098i | ||||
\(205\) | 4.00011 | − | 10.1921i | 0.279380 | − | 0.711849i | ||||
\(206\) | −1.79018 | − | 1.22052i | −0.124728 | − | 0.0850379i | ||||
\(207\) | 13.2957 | − | 2.19238i | 0.924112 | − | 0.152381i | ||||
\(208\) | 7.71372 | + | 7.15729i | 0.534850 | + | 0.496268i | ||||
\(209\) | −11.3699 | − | 28.9699i | −0.786470 | − | 2.00389i | ||||
\(210\) | 1.31844 | − | 0.194101i | 0.0909812 | − | 0.0133942i | ||||
\(211\) | −3.61136 | + | 9.20160i | −0.248616 | + | 0.633464i | −0.999641 | − | 0.0268106i | \(-0.991465\pi\) |
0.751024 | + | 0.660275i | \(0.229560\pi\) | |||||||
\(212\) | 4.87384 | − | 2.34712i | 0.334737 | − | 0.161201i | ||||
\(213\) | 9.14252 | − | 13.6108i | 0.626435 | − | 0.932597i | ||||
\(214\) | 1.26637 | 0.0865669 | ||||||||
\(215\) | −2.88865 | + | 5.00328i | −0.197004 | + | 0.341221i | ||||
\(216\) | −4.35954 | + | 1.09061i | −0.296629 | + | 0.0742066i | ||||
\(217\) | −10.9380 | − | 6.46681i | −0.742522 | − | 0.438996i | ||||
\(218\) | −1.85416 | − | 0.571934i | −0.125580 | − | 0.0387362i | ||||
\(219\) | 10.5080 | − | 4.20813i | 0.710064 | − | 0.284359i | ||||
\(220\) | 11.1123 | − | 1.67491i | 0.749193 | − | 0.112923i | ||||
\(221\) | −2.79571 | + | 0.421385i | −0.188060 | + | 0.0283455i | ||||
\(222\) | −0.0864414 | + | 0.601691i | −0.00580157 | + | 0.0403829i | ||||
\(223\) | −1.20221 | − | 0.370831i | −0.0805056 | − | 0.0248327i | 0.254241 | − | 0.967141i | \(-0.418174\pi\) |
−0.334746 | + | 0.942308i | \(0.608651\pi\) | |||||||
\(224\) | −4.62643 | + | 4.88382i | −0.309116 | + | 0.326314i | ||||
\(225\) | 7.93982 | − | 5.57560i | 0.529321 | − | 0.371707i | ||||
\(226\) | 2.05790 | − | 3.56439i | 0.136890 | − | 0.237100i | ||||
\(227\) | −16.3566 | −1.08563 | −0.542814 | − | 0.839853i | \(-0.682641\pi\) | ||||
−0.542814 | + | 0.839853i | \(0.682641\pi\) | |||||||
\(228\) | −24.2348 | − | 1.64778i | −1.60499 | − | 0.109127i | ||||
\(229\) | 12.5126 | − | 6.02575i | 0.826856 | − | 0.398193i | 0.0279207 | − | 0.999610i | \(-0.491111\pi\) |
0.798935 | + | 0.601417i | \(0.205397\pi\) | |||||||
\(230\) | 0.477222 | − | 1.21594i | 0.0314671 | − | 0.0801768i | ||||
\(231\) | −1.41559 | − | 19.8008i | −0.0931389 | − | 1.30280i | ||||
\(232\) | 2.58268 | + | 6.58055i | 0.169561 | + | 0.432034i | ||||
\(233\) | −8.63933 | − | 8.01612i | −0.565981 | − | 0.525154i | 0.344455 | − | 0.938803i | \(-0.388064\pi\) |
−0.910436 | + | 0.413649i | \(0.864254\pi\) | |||||||
\(234\) | 0.655374 | − | 1.74022i | 0.0428431 | − | 0.113762i | ||||
\(235\) | 2.08338 | + | 1.42042i | 0.135905 | + | 0.0926582i | ||||
\(236\) | 8.63171 | − | 21.9932i | 0.561877 | − | 1.43164i | ||||
\(237\) | 5.22064 | − | 17.3498i | 0.339117 | − | 1.12699i | ||||
\(238\) | −0.0802178 | − | 0.572310i | −0.00519975 | − | 0.0370973i | ||||
\(239\) | 3.19214 | + | 2.17636i | 0.206482 | + | 0.140777i | 0.662146 | − | 0.749375i | \(-0.269646\pi\) |
−0.455664 | + | 0.890152i | \(0.650598\pi\) | |||||||
\(240\) | 2.46389 | − | 8.18825i | 0.159043 | − | 0.528549i | ||||
\(241\) | 6.22991 | + | 27.2950i | 0.401303 | + | 1.75823i | 0.622132 | + | 0.782913i | \(0.286267\pi\) |
−0.220828 | + | 0.975313i | \(0.570876\pi\) | |||||||
\(242\) | 0.126993 | + | 1.69461i | 0.00816344 | + | 0.108934i | ||||
\(243\) | −9.22108 | − | 12.5687i | −0.591533 | − | 0.806281i | ||||
\(244\) | −6.00469 | −0.384411 | ||||||||
\(245\) | 8.29590 | + | 4.20864i | 0.530006 | + | 0.268880i | ||||
\(246\) | 2.42801 | − | 1.96388i | 0.154804 | − | 0.125213i | ||||
\(247\) | 12.6876 | − | 15.9097i | 0.807292 | − | 1.01231i | ||||
\(248\) | 3.43186 | − | 2.33980i | 0.217923 | − | 0.148578i | ||||
\(249\) | 14.7144 | + | 11.5689i | 0.932486 | + | 0.733146i | ||||
\(250\) | −0.178942 | − | 2.38782i | −0.0113173 | − | 0.151019i | ||||
\(251\) | −2.80551 | + | 1.35106i | −0.177082 | + | 0.0852782i | −0.520325 | − | 0.853969i | \(-0.674189\pi\) |
0.343242 | + | 0.939247i | \(0.388475\pi\) | |||||||
\(252\) | −14.4430 | − | 5.61049i | −0.909821 | − | 0.353428i | ||||
\(253\) | −17.5309 | − | 8.44245i | −1.10216 | − | 0.530772i | ||||
\(254\) | 1.12531 | − | 2.86723i | 0.0706079 | − | 0.179906i | ||||
\(255\) | 1.30731 | + | 1.88928i | 0.0818671 | + | 0.118312i | ||||
\(256\) | 4.49555 | + | 11.4545i | 0.280972 | + | 0.715904i | ||||
\(257\) | 1.09827 | − | 4.81183i | 0.0685081 | − | 0.300153i | −0.929053 | − | 0.369945i | \(-0.879376\pi\) |
0.997562 | + | 0.0697919i | \(0.0222335\pi\) | |||||||
\(258\) | −1.42129 | + | 0.833733i | −0.0884856 | + | 0.0519059i | ||||
\(259\) | −2.91808 | + | 3.08043i | −0.181321 | + | 0.191409i | ||||
\(260\) | 4.58147 | + | 5.74499i | 0.284131 | + | 0.356289i | ||||
\(261\) | −17.7435 | + | 16.9260i | −1.09829 | + | 1.04769i | ||||
\(262\) | 0.295501 | − | 0.0911501i | 0.0182561 | − | 0.00563127i | ||||
\(263\) | 6.67337 | 0.411498 | 0.205749 | − | 0.978605i | \(-0.434037\pi\) | ||||
0.205749 | + | 0.978605i | \(0.434037\pi\) | |||||||
\(264\) | 6.05674 | + | 2.32891i | 0.372767 | + | 0.143335i | ||||
\(265\) | 3.51898 | − | 1.08546i | 0.216169 | − | 0.0666794i | ||||
\(266\) | 3.22499 | + | 2.62686i | 0.197737 | + | 0.161063i | ||||
\(267\) | −14.6185 | − | 11.4935i | −0.894639 | − | 0.703390i | ||||
\(268\) | 9.24471 | − | 8.57783i | 0.564710 | − | 0.523975i | ||||
\(269\) | 6.30732 | − | 16.0708i | 0.384564 | − | 0.979853i | −0.599234 | − | 0.800574i | \(-0.704528\pi\) |
0.983798 | − | 0.179279i | \(-0.0573766\pi\) | |||||||
\(270\) | −1.50420 | + | 0.144143i | −0.0915425 | + | 0.00877228i | ||||
\(271\) | 10.1022 | + | 3.11612i | 0.613666 | + | 0.189291i | 0.585980 | − | 0.810326i | \(-0.300710\pi\) |
0.0276864 | + | 0.999617i | \(0.491186\pi\) | |||||||
\(272\) | −3.54336 | − | 1.09298i | −0.214848 | − | 0.0662717i | ||||
\(273\) | 10.7498 | − | 7.27522i | 0.650608 | − | 0.440316i | ||||
\(274\) | −0.765590 | + | 0.236153i | −0.0462510 | + | 0.0142665i | ||||
\(275\) | −14.0094 | −0.844798 | ||||||||
\(276\) | −11.8081 | + | 9.55095i | −0.710767 | + | 0.574900i | ||||
\(277\) | −1.69694 | + | 7.43478i | −0.101959 | + | 0.446713i | 0.898018 | + | 0.439959i | \(0.145007\pi\) |
−0.999977 | + | 0.00675393i | \(0.997850\pi\) | |||||||
\(278\) | 0.245803 | − | 3.28002i | 0.0147423 | − | 0.196722i | ||||
\(279\) | 12.0155 | + | 7.95100i | 0.719352 | + | 0.476014i | ||||
\(280\) | −2.39686 | + | 1.87121i | −0.143240 | + | 0.111826i | ||||
\(281\) | 8.86885 | + | 22.5975i | 0.529072 | + | 1.34805i | 0.906575 | + | 0.422044i | \(0.138687\pi\) |
−0.377504 | + | 0.926008i | \(0.623217\pi\) | |||||||
\(282\) | 0.316511 | + | 0.645786i | 0.0188480 | + | 0.0384560i | ||||
\(283\) | −0.668865 | − | 1.70424i | −0.0397599 | − | 0.101307i | 0.909615 | − | 0.415453i | \(-0.136377\pi\) |
−0.949375 | + | 0.314146i | \(0.898282\pi\) | |||||||
\(284\) | −1.38098 | + | 18.4279i | −0.0819459 | + | 1.09349i | ||||
\(285\) | −16.1466 | − | 3.56811i | −0.956439 | − | 0.211357i | ||||
\(286\) | −2.21856 | + | 1.51259i | −0.131186 | + | 0.0894413i | ||||
\(287\) | 21.7532 | − | 1.40411i | 1.28405 | − | 0.0828821i | ||||
\(288\) | 5.51943 | − | 5.26513i | 0.325236 | − | 0.310251i | ||||
\(289\) | −13.2229 | + | 9.01520i | −0.777816 | + | 0.530306i | ||||
\(290\) | 0.528944 | + | 2.31746i | 0.0310607 | + | 0.136086i | ||||
\(291\) | 7.93447 | − | 1.86878i | 0.465127 | − | 0.109550i | ||||
\(292\) | −7.95413 | + | 9.97416i | −0.465480 | + | 0.583693i | ||||
\(293\) | −10.2224 | − | 17.7057i | −0.597199 | − | 1.03438i | −0.993233 | − | 0.116143i | \(-0.962947\pi\) |
0.396034 | − | 0.918236i | \(-0.370386\pi\) | |||||||
\(294\) | 1.46427 | + | 2.21255i | 0.0853978 | + | 0.129038i | ||||
\(295\) | 8.04193 | − | 13.9290i | 0.468220 | − | 0.810980i | ||||
\(296\) | −0.506730 | − | 1.29113i | −0.0294531 | − | 0.0750453i | ||||
\(297\) | 0.466717 | + | 22.5045i | 0.0270816 | + | 1.30584i | ||||
\(298\) | 2.56256 | − | 2.37771i | 0.148445 | − | 0.137737i | ||||
\(299\) | −0.950788 | − | 12.6874i | −0.0549855 | − | 0.733730i | ||||
\(300\) | −4.67615 | + | 9.88431i | −0.269977 | + | 0.570671i | ||||
\(301\) | −11.4604 | − | 0.978124i | −0.660567 | − | 0.0563781i | ||||
\(302\) | −0.213755 | − | 2.85237i | −0.0123002 | − | 0.164135i | ||||
\(303\) | 1.28098 | + | 4.05315i | 0.0735903 | + | 0.232848i | ||||
\(304\) | 24.0459 | − | 11.5799i | 1.37913 | − | 0.664152i | ||||
\(305\) | −4.04208 | − | 0.609245i | −0.231449 | − | 0.0348853i | ||||
\(306\) | 0.0579975 | + | 0.652710i | 0.00331550 | + | 0.0373130i | ||||
\(307\) | −3.21602 | + | 4.03276i | −0.183548 | + | 0.230162i | −0.865089 | − | 0.501618i | \(-0.832738\pi\) |
0.681542 | + | 0.731779i | \(0.261310\pi\) | |||||||
\(308\) | 12.4116 | + | 18.6153i | 0.707218 | + | 1.06070i | ||||
\(309\) | 5.16793 | + | 16.3519i | 0.293993 | + | 0.930225i | ||||
\(310\) | 1.25835 | − | 0.605989i | 0.0714694 | − | 0.0344179i | ||||
\(311\) | 5.96855 | + | 5.53800i | 0.338445 | + | 0.314031i | 0.831024 | − | 0.556237i | \(-0.187755\pi\) |
−0.492579 | + | 0.870268i | \(0.663946\pi\) | |||||||
\(312\) | 0.661373 | + | 4.19115i | 0.0374429 | + | 0.237277i | ||||
\(313\) | 10.6900 | + | 18.5156i | 0.604235 | + | 1.04657i | 0.992172 | + | 0.124880i | \(0.0398546\pi\) |
−0.387937 | + | 0.921686i | \(0.626812\pi\) | |||||||
\(314\) | −1.10949 | + | 4.86100i | −0.0626123 | + | 0.274322i | ||||
\(315\) | −9.15308 | − | 5.24213i | −0.515718 | − | 0.295360i | ||||
\(316\) | 4.54392 | + | 19.9082i | 0.255615 | + | 1.11992i | ||||
\(317\) | −23.6579 | + | 21.9513i | −1.32876 | + | 1.23291i | −0.376946 | + | 0.926235i | \(0.623026\pi\) |
−0.951815 | + | 0.306674i | \(0.900784\pi\) | |||||||
\(318\) | 1.02559 | + | 0.226638i | 0.0575123 | + | 0.0127092i | ||||
\(319\) | 35.0134 | − | 5.27742i | 1.96037 | − | 0.295479i | ||||
\(320\) | 2.03258 | + | 8.90531i | 0.113625 | + | 0.497822i | ||||
\(321\) | −7.87951 | − | 6.19508i | −0.439791 | − | 0.345776i | ||||
\(322\) | 2.59520 | − | 0.167513i | 0.144625 | − | 0.00933515i | ||||
\(323\) | −1.59567 | + | 6.99108i | −0.0887854 | + | 0.388994i | ||||
\(324\) | 16.0338 | + | 7.18241i | 0.890767 | + | 0.399023i | ||||
\(325\) | −4.58018 | − | 7.93310i | −0.254063 | − | 0.440049i | ||||
\(326\) | 0.395489 | − | 1.73275i | 0.0219041 | − | 0.0959682i | ||||
\(327\) | 8.73896 | + | 12.6293i | 0.483265 | + | 0.698399i | ||||
\(328\) | −2.60325 | + | 6.63297i | −0.143740 | + | 0.366244i | ||||
\(329\) | −0.799508 | + | 4.95605i | −0.0440783 | + | 0.273236i | ||||
\(330\) | 1.89714 | + | 1.07790i | 0.104434 | + | 0.0593364i | ||||
\(331\) | −19.5945 | + | 6.04411i | −1.07701 | + | 0.332214i | −0.781999 | − | 0.623279i | \(-0.785800\pi\) |
−0.295012 | + | 0.955493i | \(0.595324\pi\) | |||||||
\(332\) | −20.8602 | − | 3.14417i | −1.14485 | − | 0.172559i | ||||
\(333\) | 3.48134 | − | 3.32094i | 0.190776 | − | 0.181986i | ||||
\(334\) | −3.79487 | + | 0.571985i | −0.207646 | + | 0.0312976i | ||||
\(335\) | 7.09343 | − | 4.83622i | 0.387555 | − | 0.264231i | ||||
\(336\) | 16.8426 | − | 2.47956i | 0.918838 | − | 0.135271i | ||||
\(337\) | −25.6749 | − | 17.5048i | −1.39860 | − | 0.953548i | −0.999326 | − | 0.0367162i | \(-0.988310\pi\) |
−0.399273 | − | 0.916832i | \(-0.630737\pi\) | |||||||
\(338\) | 0.981229 | + | 0.472535i | 0.0533718 | + | 0.0257025i | ||||
\(339\) | −30.2416 | + | 12.1108i | −1.64250 | + | 0.657771i | ||||
\(340\) | −2.33296 | − | 1.12350i | −0.126523 | − | 0.0609301i | ||||
\(341\) | −7.60087 | − | 19.3667i | −0.411610 | − | 1.04877i | ||||
\(342\) | −3.50136 | − | 3.15985i | −0.189332 | − | 0.170865i | ||||
\(343\) | −0.574511 | + | 18.5113i | −0.0310207 | + | 0.999519i | ||||
\(344\) | 1.87991 | − | 3.25610i | 0.101358 | − | 0.175557i | ||||
\(345\) | −8.91775 | + | 5.23118i | −0.480115 | + | 0.281637i | ||||
\(346\) | −3.45310 | + | 2.35429i | −0.185640 | + | 0.126567i | ||||
\(347\) | −16.1818 | − | 4.99143i | −0.868685 | − | 0.267954i | −0.171796 | − | 0.985133i | \(-0.554957\pi\) |
−0.696889 | + | 0.717179i | \(0.745433\pi\) | |||||||
\(348\) | 7.96352 | − | 26.4652i | 0.426890 | − | 1.41868i | ||||
\(349\) | −0.815145 | + | 10.8774i | −0.0436337 | + | 0.582252i | 0.931945 | + | 0.362600i | \(0.118111\pi\) |
−0.975578 | + | 0.219651i | \(0.929508\pi\) | |||||||
\(350\) | 1.63114 | − | 0.919379i | 0.0871881 | − | 0.0491429i | ||||
\(351\) | −12.5910 | + | 7.62182i | −0.672060 | + | 0.406823i | ||||
\(352\) | −10.8916 | + | 1.64164i | −0.580522 | + | 0.0874996i | ||||
\(353\) | −15.2580 | + | 7.34784i | −0.812099 | + | 0.391086i | −0.793371 | − | 0.608738i | \(-0.791676\pi\) |
−0.0187279 | + | 0.999825i | \(0.505962\pi\) | |||||||
\(354\) | 3.95684 | − | 2.32110i | 0.210304 | − | 0.123365i | ||||
\(355\) | −2.79933 | + | 12.2647i | −0.148573 | + | 0.650941i | ||||
\(356\) | 20.7243 | + | 3.12368i | 1.09838 | + | 0.165555i | ||||
\(357\) | −2.30062 | + | 3.95342i | −0.121762 | + | 0.209237i | ||||
\(358\) | −1.85553 | + | 0.279676i | −0.0980677 | + | 0.0147813i | ||||
\(359\) | 2.52056 | − | 33.6345i | 0.133030 | − | 1.77516i | −0.388036 | − | 0.921644i | \(-0.626846\pi\) |
0.521066 | − | 0.853517i | \(-0.325535\pi\) | |||||||
\(360\) | 2.82169 | − | 1.98148i | 0.148716 | − | 0.104433i | ||||
\(361\) | −16.3060 | − | 28.2429i | −0.858212 | − | 1.48647i | ||||
\(362\) | −2.72855 | − | 4.72600i | −0.143410 | − | 0.248393i | ||||
\(363\) | 7.49989 | − | 11.1654i | 0.393642 | − | 0.586029i | ||||
\(364\) | −6.48345 | + | 13.1143i | −0.339825 | + | 0.687377i | ||||
\(365\) | −6.36634 | + | 5.90710i | −0.333229 | + | 0.309192i | ||||
\(366\) | −0.916531 | − | 0.720602i | −0.0479078 | − | 0.0376665i | ||||
\(367\) | 1.36869 | + | 1.71629i | 0.0714453 | + | 0.0895895i | 0.816270 | − | 0.577671i | \(-0.196038\pi\) |
−0.744825 | + | 0.667260i | \(0.767467\pi\) | |||||||
\(368\) | 6.09632 | − | 15.5332i | 0.317793 | − | 0.809722i | ||||
\(369\) | −24.7148 | + | 0.341676i | −1.28660 | + | 0.0177869i | ||||
\(370\) | −0.103781 | − | 0.454693i | −0.00539531 | − | 0.0236384i | ||||
\(371\) | 4.93098 | + | 5.42581i | 0.256004 | + | 0.281694i | ||||
\(372\) | −16.2012 | − | 1.10156i | −0.839994 | − | 0.0571132i | ||||
\(373\) | −18.0375 | −0.933949 | −0.466974 | − | 0.884271i | \(-0.654656\pi\) | ||||
−0.466974 | + | 0.884271i | \(0.654656\pi\) | |||||||
\(374\) | 0.473106 | − | 0.819443i | 0.0244637 | − | 0.0423724i | ||||
\(375\) | −10.5679 | + | 15.7328i | −0.545722 | + | 0.812436i | ||||
\(376\) | −1.35585 | − | 0.924402i | −0.0699226 | − | 0.0476724i | ||||
\(377\) | 14.4356 | + | 18.1017i | 0.743471 | + | 0.932283i | ||||
\(378\) | −1.53122 | − | 2.58961i | −0.0787574 | − | 0.133195i | ||||
\(379\) | 23.0405 | − | 28.8919i | 1.18351 | − | 1.48408i | 0.345503 | − | 0.938418i | \(-0.387708\pi\) |
0.838008 | − | 0.545658i | \(-0.183720\pi\) | |||||||
\(380\) | 17.8091 | − | 5.49337i | 0.913586 | − | 0.281804i | ||||
\(381\) | −21.0284 | + | 12.3353i | −1.07732 | + | 0.631957i | ||||
\(382\) | −0.0418381 | + | 0.558291i | −0.00214062 | + | 0.0285646i | ||||
\(383\) | 18.6003 | + | 23.3240i | 0.950431 | + | 1.19180i | 0.981340 | + | 0.192281i | \(0.0615884\pi\) |
−0.0309090 | + | 0.999522i | \(0.509840\pi\) | |||||||
\(384\) | −3.28865 | + | 10.9292i | −0.167823 | + | 0.557728i | ||||
\(385\) | 6.46620 | + | 13.7902i | 0.329548 | + | 0.702815i | ||||
\(386\) | −0.544193 | + | 0.262069i | −0.0276987 | + | 0.0133390i | ||||
\(387\) | 12.9221 | + | 1.76537i | 0.656867 | + | 0.0897388i | ||||
\(388\) | −6.73473 | + | 6.24892i | −0.341904 | + | 0.317241i | ||||
\(389\) | −20.3488 | − | 9.79945i | −1.03172 | − | 0.496852i | −0.160137 | − | 0.987095i | \(-0.551194\pi\) |
−0.871586 | + | 0.490243i | \(0.836908\pi\) | |||||||
\(390\) | 0.00986141 | + | 1.42670i | 0.000499352 | + | 0.0722436i | ||||
\(391\) | 2.24171 | + | 3.88276i | 0.113368 | + | 0.196360i | ||||
\(392\) | −5.39892 | − | 2.73895i | −0.272687 | − | 0.138338i | ||||
\(393\) | −2.28456 | − | 0.878450i | −0.115241 | − | 0.0443119i | ||||
\(394\) | −1.61438 | − | 0.243329i | −0.0813313 | − | 0.0122587i | ||||
\(395\) | 1.03884 | + | 13.8623i | 0.0522695 | + | 0.697488i | ||||
\(396\) | −12.9871 | − | 21.7930i | −0.652627 | − | 1.09514i | ||||
\(397\) | 6.77717 | − | 4.62059i | 0.340136 | − | 0.231901i | −0.381190 | − | 0.924497i | \(-0.624485\pi\) |
0.721326 | + | 0.692596i | \(0.243533\pi\) | |||||||
\(398\) | −0.257654 | + | 3.43816i | −0.0129150 | + | 0.172339i | ||||
\(399\) | −7.21569 | − | 32.1214i | −0.361236 | − | 1.60808i | ||||
\(400\) | −0.897819 | − | 11.9806i | −0.0448910 | − | 0.599028i | ||||
\(401\) | 19.2890 | + | 24.1876i | 0.963245 | + | 1.20787i | 0.978133 | + | 0.207982i | \(0.0666895\pi\) |
−0.0148877 | + | 0.999889i | \(0.504739\pi\) | |||||||
\(402\) | 2.44047 | − | 0.199860i | 0.121720 | − | 0.00996812i | ||||
\(403\) | 8.48178 | − | 10.6358i | 0.422508 | − | 0.529808i | ||||
\(404\) | −3.51193 | − | 3.25859i | −0.174725 | − | 0.162121i | ||||
\(405\) | 10.0645 | + | 6.46168i | 0.500108 | + | 0.321083i | ||||
\(406\) | −3.73034 | + | 2.91225i | −0.185134 | + | 0.144532i | ||||
\(407\) | −6.86976 | + | 1.03545i | −0.340521 | + | 0.0513254i | ||||
\(408\) | −0.850790 | − | 1.22953i | −0.0421204 | − | 0.0608710i | ||||
\(409\) | 19.4293 | + | 18.0278i | 0.960719 | + | 0.891417i | 0.994148 | − | 0.108024i | \(-0.0344525\pi\) |
−0.0334296 | + | 0.999441i | \(0.510643\pi\) | |||||||
\(410\) | −1.19799 | + | 2.07499i | −0.0591647 | + | 0.102476i | ||||
\(411\) | 5.91888 | + | 2.27590i | 0.291957 | + | 0.112262i | ||||
\(412\) | −14.1684 | − | 13.1463i | −0.698025 | − | 0.647673i | ||||
\(413\) | 31.9056 | + | 2.72308i | 1.56997 | + | 0.133994i | ||||
\(414\) | −2.94852 | + | 0.0407626i | −0.144912 | + | 0.00200337i | ||||
\(415\) | −13.7231 | − | 4.23301i | −0.673640 | − | 0.207790i | ||||
\(416\) | −4.49045 | − | 5.63085i | −0.220163 | − | 0.276075i | ||||
\(417\) | −17.5753 | + | 19.2063i | −0.860668 | + | 0.940535i | ||||
\(418\) | 1.51544 | + | 6.63957i | 0.0741225 | + | 0.324752i | ||||
\(419\) | 13.4015 | − | 12.4348i | 0.654707 | − | 0.607480i | −0.281233 | − | 0.959640i | \(-0.590743\pi\) |
0.935940 | + | 0.352160i | \(0.114553\pi\) | |||||||
\(420\) | 11.8880 | + | 0.0407753i | 0.580075 | + | 0.00198963i | ||||
\(421\) | −1.98498 | − | 1.84180i | −0.0967422 | − | 0.0897636i | 0.630319 | − | 0.776336i | \(-0.282924\pi\) |
−0.727061 | + | 0.686572i | \(0.759114\pi\) | |||||||
\(422\) | 1.08157 | − | 1.87333i | 0.0526498 | − | 0.0911922i | ||||
\(423\) | 1.18982 | − | 5.56655i | 0.0578509 | − | 0.270655i | ||||
\(424\) | −2.29013 | + | 0.706412i | −0.111219 | + | 0.0343064i | ||||
\(425\) | 2.66710 | + | 1.81840i | 0.129374 | + | 0.0882054i | ||||
\(426\) | −2.42225 | + | 2.64703i | −0.117358 | + | 0.128249i | ||||
\(427\) | −2.31826 | − | 7.80114i | −0.112188 | − | 0.377524i | ||||
\(428\) | 11.1706 | + | 1.68369i | 0.539950 | + | 0.0813843i | ||||
\(429\) | 21.2038 | + | 1.44170i | 1.02373 | + | 0.0696059i | ||||
\(430\) | 0.788251 | − | 0.988435i | 0.0380128 | − | 0.0476666i | ||||
\(431\) | 24.5367 | + | 16.7288i | 1.18189 | + | 0.805799i | 0.984647 | − | 0.174555i | \(-0.0558488\pi\) |
0.197243 | + | 0.980355i | \(0.436801\pi\) | |||||||
\(432\) | −19.2155 | + | 1.84137i | −0.924507 | + | 0.0885931i | ||||
\(433\) | −8.37438 | − | 4.03289i | −0.402447 | − | 0.193808i | 0.221700 | − | 0.975115i | \(-0.428839\pi\) |
−0.624148 | + | 0.781307i | \(0.714554\pi\) | |||||||
\(434\) | 2.15594 | + | 1.75609i | 0.103488 | + | 0.0842948i | ||||
\(435\) | 8.04587 | − | 17.0071i | 0.385770 | − | 0.815430i | ||||
\(436\) | −15.5951 | − | 7.51020i | −0.746870 | − | 0.359673i | ||||
\(437\) | −30.8357 | − | 9.51155i | −1.47507 | − | 0.454999i | ||||
\(438\) | −2.41105 | + | 0.567867i | −0.115204 | + | 0.0271338i | ||||
\(439\) | −15.9047 | − | 2.39724i | −0.759088 | − | 0.114414i | −0.241918 | − | 0.970297i | \(-0.577776\pi\) |
−0.517170 | + | 0.855883i | \(0.673015\pi\) | |||||||
\(440\) | −4.97873 | −0.237351 | ||||||||
\(441\) | 1.71295 | − | 20.9300i | 0.0815690 | − | 0.996668i | ||||
\(442\) | 0.618701 | 0.0294286 | ||||||||
\(443\) | −20.3023 | − | 3.06008i | −0.964593 | − | 0.145389i | −0.352185 | − | 0.935931i | \(-0.614561\pi\) |
−0.612408 | + | 0.790542i | \(0.709799\pi\) | |||||||
\(444\) | −1.56247 | + | 5.19257i | −0.0741517 | + | 0.246428i | ||||
\(445\) | 13.6337 | + | 4.20544i | 0.646299 | + | 0.199357i | ||||
\(446\) | 0.248048 | + | 0.119454i | 0.0117454 | + | 0.00565629i | ||||
\(447\) | −27.5764 | + | 2.25835i | −1.30432 | + | 0.106816i | ||||
\(448\) | −14.3346 | + | 11.1909i | −0.677246 | + | 0.528721i | ||||
\(449\) | −18.7122 | − | 9.01132i | −0.883083 | − | 0.425270i | −0.0633334 | − | 0.997992i | \(-0.520173\pi\) |
−0.819750 | + | 0.572722i | \(0.805887\pi\) | |||||||
\(450\) | −1.89993 | + | 0.947532i | −0.0895635 | + | 0.0446671i | ||||
\(451\) | 29.4892 | + | 20.1054i | 1.38859 | + | 0.946728i | ||||
\(452\) | 22.8917 | − | 28.7053i | 1.07673 | − | 1.35018i | ||||
\(453\) | −12.6238 | + | 18.7935i | −0.593119 | + | 0.882997i | ||||
\(454\) | 3.53938 | + | 0.533475i | 0.166111 | + | 0.0250372i | ||||
\(455\) | −5.69496 | + | 8.17013i | −0.266984 | + | 0.383022i | ||||
\(456\) | 10.5081 | + | 2.32210i | 0.492086 | + | 0.108742i | ||||
\(457\) | 30.0416 | + | 20.4820i | 1.40529 | + | 0.958109i | 0.999016 | + | 0.0443573i | \(0.0141240\pi\) |
0.406272 | + | 0.913752i | \(0.366828\pi\) | |||||||
\(458\) | −2.90410 | + | 0.895797i | −0.135700 | + | 0.0418579i | ||||
\(459\) | 2.83220 | − | 4.34498i | 0.132196 | − | 0.202806i | ||||
\(460\) | 5.82621 | − | 10.0913i | 0.271648 | − | 0.470509i | ||||
\(461\) | 6.89108 | + | 6.39399i | 0.320950 | + | 0.297798i | 0.824150 | − | 0.566372i | \(-0.191654\pi\) |
−0.503200 | + | 0.864170i | \(0.667844\pi\) | |||||||
\(462\) | −0.339493 | + | 4.33083i | −0.0157946 | + | 0.201489i | ||||
\(463\) | −1.40201 | + | 1.30087i | −0.0651568 | + | 0.0604566i | −0.712079 | − | 0.702099i | \(-0.752246\pi\) |
0.646922 | + | 0.762556i | \(0.276056\pi\) | |||||||
\(464\) | 6.75705 | + | 29.6046i | 0.313688 | + | 1.37436i | ||||
\(465\) | −10.7941 | − | 2.38532i | −0.500566 | − | 0.110617i | ||||
\(466\) | 1.60800 | + | 2.01637i | 0.0744890 | + | 0.0934063i | ||||
\(467\) | −7.20092 | − | 2.22119i | −0.333219 | − | 0.102784i | 0.123631 | − | 0.992328i | \(-0.460546\pi\) |
−0.456850 | + | 0.889544i | \(0.651022\pi\) | |||||||
\(468\) | 8.09474 | − | 14.4791i | 0.374179 | − | 0.669297i | ||||
\(469\) | 14.7133 | + | 8.69882i | 0.679395 | + | 0.401674i | ||||
\(470\) | −0.404490 | − | 0.375312i | −0.0186577 | − | 0.0173119i | ||||
\(471\) | 30.6835 | − | 24.8182i | 1.41382 | − | 1.14356i | ||||
\(472\) | −5.23364 | + | 9.06493i | −0.240898 | + | 0.417247i | ||||
\(473\) | −13.8052 | − | 12.8094i | −0.634765 | − | 0.588976i | ||||
\(474\) | −1.69555 | + | 3.58401i | −0.0778792 | + | 0.164619i | ||||
\(475\) | −22.9740 | + | 3.46277i | −1.05412 | + | 0.158883i | ||||
\(476\) | 0.0533141 | − | 5.15498i | 0.00244365 | − | 0.236278i | ||||
\(477\) | −5.27266 | − | 6.42739i | −0.241419 | − | 0.294290i | ||||
\(478\) | −0.619757 | − | 0.575050i | −0.0283470 | − | 0.0263022i | ||||
\(479\) | −6.71229 | + | 8.41695i | −0.306692 | + | 0.384580i | −0.911162 | − | 0.412048i | \(-0.864814\pi\) |
0.604470 | + | 0.796628i | \(0.293385\pi\) | |||||||
\(480\) | −2.50281 | + | 5.29038i | −0.114237 | + | 0.241472i | ||||
\(481\) | −2.83232 | − | 3.55161i | −0.129143 | − | 0.161940i | ||||
\(482\) | −0.457843 | − | 6.10949i | −0.0208542 | − | 0.278280i | ||||
\(483\) | −16.9672 | − | 11.6535i | −0.772034 | − | 0.530252i | ||||
\(484\) | −1.13286 | + | 15.1169i | −0.0514935 | + | 0.687133i | ||||
\(485\) | −5.16753 | + | 3.52316i | −0.234646 | + | 0.159979i | ||||
\(486\) | 1.58540 | + | 3.02046i | 0.0719152 | + | 0.137011i | ||||
\(487\) | −1.59496 | − | 21.2833i | −0.0722745 | − | 0.964437i | −0.908995 | − | 0.416807i | \(-0.863149\pi\) |
0.836721 | − | 0.547630i | \(-0.184470\pi\) | |||||||
\(488\) | 2.63056 | + | 0.396493i | 0.119080 | + | 0.0179484i | ||||
\(489\) | −10.9374 | + | 8.84668i | −0.494608 | + | 0.400061i | ||||
\(490\) | −1.65787 | − | 1.18127i | −0.0748948 | − | 0.0533644i | ||||
\(491\) | −13.1913 | − | 22.8480i | −0.595314 | − | 1.03111i | −0.993502 | − | 0.113811i | \(-0.963694\pi\) |
0.398188 | − | 0.917304i | \(-0.369639\pi\) | |||||||
\(492\) | 24.0285 | − | 14.0952i | 1.08329 | − | 0.635460i | ||||
\(493\) | −7.35084 | − | 3.53998i | −0.331065 | − | 0.159433i | ||||
\(494\) | −3.26434 | + | 3.02886i | −0.146869 | + | 0.136275i | ||||
\(495\) | −6.53117 | − | 15.9877i | −0.293554 | − | 0.718593i | ||||
\(496\) | 16.0749 | − | 7.74127i | 0.721785 | − | 0.347593i | ||||
\(497\) | −24.4742 | + | 5.32040i | −1.09782 | + | 0.238652i | ||||
\(498\) | −2.80669 | − | 2.98327i | −0.125771 | − | 0.133684i | ||||
\(499\) | 9.94042 | + | 12.4649i | 0.444994 | + | 0.558005i | 0.952852 | − | 0.303436i | \(-0.0981338\pi\) |
−0.507858 | + | 0.861441i | \(0.669562\pi\) | |||||||
\(500\) | 1.59627 | − | 21.3008i | 0.0713876 | − | 0.952601i | ||||
\(501\) | 26.4104 | + | 15.0056i | 1.17993 | + | 0.670402i | ||||
\(502\) | 0.651143 | − | 0.200851i | 0.0290619 | − | 0.00896442i | ||||
\(503\) | −11.1169 | + | 13.9401i | −0.495676 | + | 0.621558i | −0.965248 | − | 0.261336i | \(-0.915837\pi\) |
0.469572 | + | 0.882894i | \(0.344408\pi\) | |||||||
\(504\) | 5.95677 | + | 3.41154i | 0.265335 | + | 0.151962i | ||||
\(505\) | −2.03344 | − | 2.54986i | −0.0904871 | − | 0.113467i | ||||
\(506\) | 3.51813 | + | 2.39862i | 0.156400 | + | 0.106632i | ||||
\(507\) | −3.79370 | − | 7.74037i | −0.168484 | − | 0.343762i | ||||
\(508\) | 13.7384 | − | 23.7956i | 0.609543 | − | 1.05576i | ||||
\(509\) | −8.70662 | −0.385914 | −0.192957 | − | 0.981207i | \(-0.561808\pi\) | ||||
−0.192957 | + | 0.981207i | \(0.561808\pi\) | |||||||
\(510\) | −0.221267 | − | 0.451456i | −0.00979787 | − | 0.0199908i | ||||
\(511\) | −16.0291 | − | 6.48304i | −0.709084 | − | 0.286793i | ||||
\(512\) | −3.53177 | − | 15.4737i | −0.156084 | − | 0.683848i | ||||
\(513\) | 6.32791 | + | 36.7897i | 0.279384 | + | 1.62431i | ||||
\(514\) | −0.394591 | + | 1.00540i | −0.0174046 | + | 0.0443463i | ||||
\(515\) | −8.20364 | − | 10.2870i | −0.361496 | − | 0.453301i | ||||
\(516\) | −13.6456 | + | 5.46466i | −0.600715 | + | 0.240568i | ||||
\(517\) | −6.02534 | + | 5.59070i | −0.264994 | + | 0.245879i | ||||
\(518\) | 0.731906 | − | 0.571394i | 0.0321581 | − | 0.0251056i | ||||
\(519\) | 33.0029 | + | 2.24395i | 1.44867 | + | 0.0984983i | ||||
\(520\) | −1.62772 | − | 2.81930i | −0.0713805 | − | 0.123635i | ||||
\(521\) | 10.2610 | + | 17.7726i | 0.449544 | + | 0.778632i | 0.998356 | − | 0.0573131i | \(-0.0182533\pi\) |
−0.548813 | + | 0.835945i | \(0.684920\pi\) | |||||||
\(522\) | 4.39152 | − | 3.08386i | 0.192211 | − | 0.134977i | ||||
\(523\) | −2.59068 | + | 34.5702i | −0.113283 | + | 1.51165i | 0.593854 | + | 0.804573i | \(0.297606\pi\) |
−0.707136 | + | 0.707077i | \(0.750013\pi\) | |||||||
\(524\) | 2.72780 | − | 0.411149i | 0.119164 | − | 0.0179611i | ||||
\(525\) | −14.6468 | − | 2.25906i | −0.639239 | − | 0.0985933i | ||||
\(526\) | −1.44404 | − | 0.217653i | −0.0629630 | − | 0.00949014i | ||||
\(527\) | −1.06672 | + | 4.67361i | −0.0464671 | + | 0.203586i | ||||
\(528\) | 24.2352 | + | 13.7697i | 1.05470 | + | 0.599251i | ||||
\(529\) | 2.54463 | − | 1.22543i | 0.110636 | − | 0.0532795i | ||||
\(530\) | −0.796867 | + | 0.120108i | −0.0346137 | + | 0.00521718i | ||||
\(531\) | −35.9749 | − | 4.91476i | −1.56118 | − | 0.213282i | ||||
\(532\) | 24.9550 | + | 27.4593i | 1.08194 | + | 1.19051i | ||||
\(533\) | −1.74400 | + | 23.2721i | −0.0755410 | + | 1.00802i | ||||
\(534\) | 2.78841 | + | 2.96383i | 0.120666 | + | 0.128258i | ||||
\(535\) | 7.34867 | + | 2.26677i | 0.317711 | + | 0.0980008i | ||||
\(536\) | −4.61635 | + | 3.14738i | −0.199396 | + | 0.135946i | ||||
\(537\) | 12.9135 | + | 7.33710i | 0.557261 | + | 0.316619i | ||||
\(538\) | −1.88898 | + | 3.27181i | −0.0814397 | + | 0.141058i | ||||
\(539\) | −19.3927 | + | 23.3118i | −0.835302 | + | 1.00411i | ||||
\(540\) | −13.4601 | − | 0.728417i | −0.579231 | − | 0.0313461i | ||||
\(541\) | −7.44484 | − | 18.9691i | −0.320079 | − | 0.815547i | −0.996847 | − | 0.0793508i | \(-0.974715\pi\) |
0.676768 | − | 0.736196i | \(-0.263380\pi\) | |||||||
\(542\) | −2.08436 | − | 1.00378i | −0.0895311 | − | 0.0431159i | ||||
\(543\) | −6.14221 | + | 42.7540i | −0.263587 | + | 1.83475i | ||||
\(544\) | 2.28661 | + | 1.10117i | 0.0980377 | + | 0.0472125i | ||||
\(545\) | −9.73590 | − | 6.63782i | −0.417040 | − | 0.284333i | ||||
\(546\) | −2.56341 | + | 1.22366i | −0.109704 | + | 0.0523678i | ||||
\(547\) | 20.5508 | − | 14.0113i | 0.878690 | − | 0.599081i | −0.0377347 | − | 0.999288i | \(-0.512014\pi\) |
0.916425 | + | 0.400207i | \(0.131062\pi\) | |||||||
\(548\) | −7.06722 | + | 1.06521i | −0.301897 | + | 0.0455036i | ||||
\(549\) | 2.17759 | + | 8.96737i | 0.0929372 | + | 0.382718i | ||||
\(550\) | 3.03146 | + | 0.456920i | 0.129262 | + | 0.0194831i | ||||
\(551\) | 56.1139 | − | 17.3089i | 2.39053 | − | 0.737382i | ||||
\(552\) | 5.80361 | − | 3.40442i | 0.247018 | − | 0.144902i | ||||
\(553\) | −24.1100 | + | 13.5894i | −1.02526 | + | 0.577880i | ||||
\(554\) | 0.609684 | − | 1.55345i | 0.0259030 | − | 0.0659998i | ||||
\(555\) | −1.57863 | + | 3.33687i | −0.0670091 | + | 0.141642i | ||||
\(556\) | 6.52916 | − | 28.6061i | 0.276898 | − | 1.21317i | ||||
\(557\) | −18.3191 | − | 31.7296i | −0.776205 | − | 1.34443i | −0.934115 | − | 0.356973i | \(-0.883809\pi\) |
0.157910 | − | 0.987454i | \(-0.449525\pi\) | |||||||
\(558\) | −2.34069 | − | 2.11239i | −0.0990894 | − | 0.0894246i | ||||
\(559\) | 2.74014 | − | 12.0053i | 0.115895 | − | 0.507771i | ||||
\(560\) | −11.3787 | + | 6.41354i | −0.480839 | + | 0.271021i | ||||
\(561\) | −6.95246 | + | 2.78425i | −0.293533 | + | 0.117551i | ||||
\(562\) | −1.18209 | − | 5.17908i | −0.0498635 | − | 0.218466i | ||||
\(563\) | −4.18325 | + | 0.630524i | −0.176303 | + | 0.0265734i | −0.236600 | − | 0.971607i | \(-0.576033\pi\) |
0.0602973 | + | 0.998180i | \(0.480795\pi\) | |||||||
\(564\) | 1.93333 | + | 6.11727i | 0.0814080 | + | 0.257583i | ||||
\(565\) | 18.3221 | − | 17.0004i | 0.770817 | − | 0.715213i | ||||
\(566\) | 0.0891501 | + | 0.390592i | 0.00374726 | + | 0.0164178i | ||||
\(567\) | −3.14097 | + | 23.6037i | −0.131908 | + | 0.991262i | ||||
\(568\) | 1.82178 | − | 7.98176i | 0.0764404 | − | 0.334907i | ||||
\(569\) | 10.1929 | + | 17.6547i | 0.427310 | + | 0.740123i | 0.996633 | − | 0.0819913i | \(-0.0261280\pi\) |
−0.569323 | + | 0.822114i | \(0.692795\pi\) | |||||||
\(570\) | 3.37754 | + | 1.29872i | 0.141470 | + | 0.0543974i | ||||
\(571\) | 1.13882 | + | 1.05667i | 0.0476583 | + | 0.0442204i | 0.703642 | − | 0.710554i | \(-0.251556\pi\) |
−0.655984 | + | 0.754775i | \(0.727746\pi\) | |||||||
\(572\) | −21.5809 | + | 10.3928i | −0.902343 | + | 0.434546i | ||||
\(573\) | 2.99149 | − | 3.26909i | 0.124971 | − | 0.136568i | ||||
\(574\) | −4.75292 | − | 0.405653i | −0.198383 | − | 0.0169316i | ||||
\(575\) | −9.05694 | + | 11.3570i | −0.377701 | + | 0.473622i | ||||
\(576\) | 16.8753 | − | 11.8504i | 0.703138 | − | 0.493766i | ||||
\(577\) | −18.8184 | − | 2.83641i | −0.783419 | − | 0.118081i | −0.254860 | − | 0.966978i | \(-0.582029\pi\) |
−0.528559 | + | 0.848896i | \(0.677268\pi\) | |||||||
\(578\) | 3.15530 | − | 1.51951i | 0.131243 | − | 0.0632034i | ||||
\(579\) | 4.66809 | + | 1.03157i | 0.193999 | + | 0.0428705i | ||||
\(580\) | 1.58463 | + | 21.1455i | 0.0657983 | + | 0.878017i | ||||
\(581\) | −3.96876 | − | 28.3149i | −0.164652 | − | 1.17470i | ||||
\(582\) | −1.77787 | + | 0.145597i | −0.0736952 | + | 0.00603520i | ||||
\(583\) | 0.897084 | + | 11.9708i | 0.0371534 | + | 0.495778i | ||||
\(584\) | 4.14317 | − | 3.84430i | 0.171446 | − | 0.159078i | ||||
\(585\) | 6.91807 | − | 8.92536i | 0.286027 | − | 0.369018i | ||||
\(586\) | 1.63453 | + | 4.16471i | 0.0675217 | + | 0.172042i | ||||
\(587\) | 7.89740 | − | 13.6787i | 0.325961 | − | 0.564580i | −0.655746 | − | 0.754982i | \(-0.727646\pi\) |
0.981706 | + | 0.190402i | \(0.0609790\pi\) | |||||||
\(588\) | 9.97457 | + | 21.4636i | 0.411344 | + | 0.885145i | ||||
\(589\) | −17.2516 | − | 29.8806i | −0.710840 | − | 1.23121i | ||||
\(590\) | −2.19447 | + | 2.75178i | −0.0903451 | + | 0.113289i | ||||
\(591\) | 8.85454 | + | 9.41161i | 0.364227 | + | 0.387142i | ||||
\(592\) | −1.32576 | − | 5.80853i | −0.0544884 | − | 0.238729i | ||||
\(593\) | 34.3850 | − | 23.4433i | 1.41202 | − | 0.962701i | 0.413384 | − | 0.910557i | \(-0.364347\pi\) |
0.998640 | − | 0.0521445i | \(-0.0166057\pi\) | |||||||
\(594\) | 0.632998 | − | 4.88492i | 0.0259722 | − | 0.200431i | ||||
\(595\) | 0.558921 | − | 3.46468i | 0.0229135 | − | 0.142038i | ||||
\(596\) | 25.7655 | − | 17.5666i | 1.05540 | − | 0.719558i | ||||
\(597\) | 18.4227 | − | 20.1322i | 0.753990 | − | 0.823958i | ||||
\(598\) | −0.208063 | + | 2.77640i | −0.00850832 | + | 0.113536i | ||||
\(599\) | 2.85587 | + | 7.27665i | 0.116688 | + | 0.297316i | 0.977271 | − | 0.211994i | \(-0.0679959\pi\) |
−0.860583 | + | 0.509310i | \(0.829901\pi\) | |||||||
\(600\) | 2.70121 | − | 4.02139i | 0.110276 | − | 0.164172i | ||||
\(601\) | −5.98834 | − | 15.2581i | −0.244270 | − | 0.622389i | 0.755182 | − | 0.655516i | \(-0.227549\pi\) |
−0.999451 | + | 0.0331269i | \(0.989453\pi\) | |||||||
\(602\) | 2.44799 | + | 0.585438i | 0.0997727 | + | 0.0238607i | ||||
\(603\) | −16.1627 | − | 10.6953i | −0.658195 | − | 0.435545i | ||||
\(604\) | 1.90683 | − | 25.4448i | 0.0775877 | − | 1.03534i | ||||
\(605\) | −2.29637 | + | 10.0611i | −0.0933609 | + | 0.409041i | ||||
\(606\) | −0.144994 | − | 0.918832i | −0.00588997 | − | 0.0373250i | ||||
\(607\) | 5.47249 | 0.222122 | 0.111061 | − | 0.993814i | \(-0.464575\pi\) | ||||
0.111061 | + | 0.993814i | \(0.464575\pi\) | |||||||
\(608\) | −17.4553 | + | 5.38423i | −0.707904 | + | 0.218359i | ||||
\(609\) | 37.4575 | + | 0.128478i | 1.51785 | + | 0.00520617i | ||||
\(610\) | 0.854785 | + | 0.263666i | 0.0346092 | + | 0.0106755i | ||||
\(611\) | −5.13574 | − | 1.58417i | −0.207770 | − | 0.0640885i | ||||
\(612\) | −0.356214 | + | 5.83464i | −0.0143991 | + | 0.235851i | ||||
\(613\) | −2.18677 | + | 5.57180i | −0.0883229 | + | 0.225043i | −0.968210 | − | 0.250141i | \(-0.919523\pi\) |
0.879887 | + | 0.475184i | \(0.157618\pi\) | |||||||
\(614\) | 0.827436 | − | 0.767748i | 0.0333926 | − | 0.0309838i | ||||
\(615\) | 17.6050 | − | 7.05025i | 0.709901 | − | 0.284294i | ||||
\(616\) | −4.20816 | − | 8.97459i | −0.169551 | − | 0.361596i | ||||
\(617\) | −43.6071 | + | 13.4510i | −1.75556 | + | 0.541518i | −0.994270 | − | 0.106897i | \(-0.965908\pi\) |
−0.761287 | + | 0.648415i | \(0.775432\pi\) | |||||||
\(618\) | −0.584957 | − | 3.70690i | −0.0235304 | − | 0.149113i | ||||
\(619\) | −17.7863 | −0.714891 | −0.357445 | − | 0.933934i | \(-0.616352\pi\) | ||||
−0.357445 | + | 0.933934i | \(0.616352\pi\) | |||||||
\(620\) | 11.9055 | − | 3.67237i | 0.478138 | − | 0.147486i | ||||
\(621\) | 18.5455 | + | 14.1706i | 0.744207 | + | 0.568647i | ||||
\(622\) | −1.11090 | − | 1.39302i | −0.0445429 | − | 0.0558551i | ||||
\(623\) | 3.94291 | + | 28.1305i | 0.157969 | + | 1.12702i | ||||
\(624\) | 0.125976 | + | 18.2255i | 0.00504306 | + | 0.729604i | ||||
\(625\) | −0.362400 | + | 1.58778i | −0.0144960 | + | 0.0635110i | ||||
\(626\) | −1.70930 | − | 4.35522i | −0.0683172 | − | 0.174069i | ||||
\(627\) | 23.0516 | − | 48.7259i | 0.920594 | − | 1.94593i | ||||
\(628\) | −16.2497 | + | 41.4036i | −0.648434 | + | 1.65218i | ||||
\(629\) | 1.44226 | + | 0.694557i | 0.0575068 | + | 0.0276938i | ||||
\(630\) | 1.80964 | + | 1.43286i | 0.0720979 | + | 0.0570866i | ||||
\(631\) | −35.1389 | + | 16.9220i | −1.39886 | + | 0.673655i | −0.972930 | − | 0.231102i | \(-0.925767\pi\) |
−0.425929 | + | 0.904757i | \(0.640053\pi\) | |||||||
\(632\) | −0.676068 | − | 9.02150i | −0.0268925 | − | 0.358856i | ||||
\(633\) | −15.8940 | + | 6.36507i | −0.631731 | + | 0.252989i | ||||
\(634\) | 5.83523 | − | 3.97839i | 0.231747 | − | 0.158002i | ||||
\(635\) | 11.6624 | − | 14.6242i | 0.462808 | − | 0.580342i | ||||
\(636\) | 8.74538 | + | 3.36274i | 0.346777 | + | 0.133341i | ||||
\(637\) | −19.5409 | − | 3.36003i | −0.774239 | − | 0.133129i | ||||
\(638\) | −7.74860 | −0.306770 | ||||||||
\(639\) | 28.0209 | − | 4.62048i | 1.10849 | − | 0.182783i | ||||
\(640\) | −0.654397 | − | 8.73233i | −0.0258673 | − | 0.345175i | ||||
\(641\) | 9.22886 | + | 40.4343i | 0.364518 | + | 1.59706i | 0.741577 | + | 0.670868i | \(0.234078\pi\) |
−0.377059 | + | 0.926189i | \(0.623065\pi\) | |||||||
\(642\) | 1.50297 | + | 1.59753i | 0.0593177 | + | 0.0630496i | ||||
\(643\) | 0.779000 | + | 0.531113i | 0.0307208 | + | 0.0209451i | 0.578583 | − | 0.815623i | \(-0.303606\pi\) |
−0.547862 | + | 0.836569i | \(0.684558\pi\) | |||||||
\(644\) | 23.1149 | + | 1.97281i | 0.910854 | + | 0.0777396i | ||||
\(645\) | −9.74006 | + | 2.29405i | −0.383514 | + | 0.0903280i | ||||
\(646\) | 0.573299 | − | 1.46074i | 0.0225561 | − | 0.0574721i | ||||
\(647\) | −7.81732 | − | 5.32976i | −0.307331 | − | 0.209535i | 0.399827 | − | 0.916591i | \(-0.369070\pi\) |
−0.707157 | + | 0.707056i | \(0.750023\pi\) | |||||||
\(648\) | −6.54990 | − | 4.20522i | −0.257304 | − | 0.165197i | ||||
\(649\) | 38.4335 | + | 35.6610i | 1.50865 | + | 1.39982i | ||||
\(650\) | 0.732355 | + | 1.86601i | 0.0287253 | + | 0.0731909i | ||||
\(651\) | −4.82376 | − | 21.4735i | −0.189058 | − | 0.841613i | ||||
\(652\) | 5.79237 | − | 14.7587i | 0.226847 | − | 0.577996i | ||||
\(653\) | 23.6331 | − | 11.3811i | 0.924836 | − | 0.445378i | 0.0900410 | − | 0.995938i | \(-0.471300\pi\) |
0.834795 | + | 0.550560i | \(0.185586\pi\) | |||||||
\(654\) | −1.47910 | − | 3.01784i | −0.0578373 | − | 0.118007i | ||||
\(655\) | 1.87794 | 0.0733772 | ||||||||
\(656\) | −15.3039 | + | 26.5071i | −0.597517 | + | 1.03493i | ||||
\(657\) | 17.7799 | + | 8.26155i | 0.693660 | + | 0.322314i | ||||
\(658\) | 0.334646 | − | 1.04635i | 0.0130459 | − | 0.0407911i | ||||
\(659\) | 33.5021 | + | 10.3340i | 1.30506 | + | 0.402557i | 0.867860 | − | 0.496808i | \(-0.165495\pi\) |
0.437198 | + | 0.899365i | \(0.355971\pi\) | |||||||
\(660\) | 15.3015 | + | 12.0305i | 0.595610 | + | 0.468285i | ||||
\(661\) | −20.1328 | + | 3.03453i | −0.783075 | + | 0.118030i | −0.528398 | − | 0.848997i | \(-0.677207\pi\) |
−0.254677 | + | 0.967026i | \(0.581969\pi\) | |||||||
\(662\) | 4.43714 | − | 0.668792i | 0.172454 | − | 0.0259933i | ||||
\(663\) | −3.84965 | − | 3.02670i | −0.149508 | − | 0.117547i | ||||
\(664\) | 8.93090 | + | 2.75482i | 0.346586 | + | 0.106908i | ||||
\(665\) | 14.0125 | + | 21.0163i | 0.543381 | + | 0.814976i | ||||
\(666\) | −0.861632 | + | 0.605066i | −0.0333876 | + | 0.0234458i | ||||
\(667\) | 18.3576 | − | 31.7963i | 0.710808 | − | 1.23116i | ||||
\(668\) | −34.2349 | −1.32459 | ||||||||
\(669\) | −0.959020 | − | 1.95671i | −0.0370779 | − | 0.0756509i | ||||
\(670\) | −1.69267 | + | 0.815145i | −0.0653934 | + | 0.0314918i | ||||
\(671\) | 4.86816 | − | 12.4039i | 0.187933 | − | 0.478846i | ||||
\(672\) | −11.6518 | − | 0.0399653i | −0.449479 | − | 0.00154169i | ||||
\(673\) | −16.0094 | − | 40.7912i | −0.617116 | − | 1.57239i | −0.806983 | − | 0.590575i | \(-0.798901\pi\) |
0.189867 | − | 0.981810i | \(-0.439194\pi\) | |||||||
\(674\) | 4.98480 | + | 4.62522i | 0.192007 | + | 0.178157i | ||||
\(675\) | 16.4570 | + | 3.39881i | 0.633430 | + | 0.130820i | ||||
\(676\) | 8.02713 | + | 5.47280i | 0.308736 | + | 0.210492i | ||||
\(677\) | −10.2840 | + | 26.2033i | −0.395247 | + | 1.00707i | 0.585305 | + | 0.810813i | \(0.300975\pi\) |
−0.980552 | + | 0.196260i | \(0.937120\pi\) | |||||||
\(678\) | 6.93891 | − | 1.63430i | 0.266487 | − | 0.0627650i | ||||
\(679\) | −10.7186 | − | 6.33705i | −0.411340 | − | 0.243194i | ||||
\(680\) | 0.947848 | + | 0.646232i | 0.0363483 | + | 0.0247819i | ||||
\(681\) | −19.4127 | − | 20.6341i | −0.743897 | − | 0.790699i | ||||
\(682\) | 1.01309 | + | 4.43862i | 0.0387931 | + | 0.169964i | ||||
\(683\) | −0.233418 | − | 3.11475i | −0.00893149 | − | 0.119182i | 0.990956 | − | 0.134188i | \(-0.0428425\pi\) |
−0.999887 | + | 0.0150053i | \(0.995223\pi\) | |||||||
\(684\) | −26.6842 | − | 32.5281i | −1.02030 | − | 1.24374i | ||||
\(685\) | −4.86540 | −0.185897 | ||||||||
\(686\) | 0.728069 | − | 3.98689i | 0.0277978 | − | 0.152220i | ||||
\(687\) | 22.4520 | + | 8.63316i | 0.856598 | + | 0.329375i | ||||
\(688\) | 10.0696 | − | 12.6269i | 0.383900 | − | 0.481395i | ||||
\(689\) | −6.48539 | + | 4.42166i | −0.247074 | + | 0.168452i | ||||
\(690\) | 2.10031 | − | 0.841109i | 0.0799574 | − | 0.0320205i | ||||
\(691\) | −0.826752 | − | 11.0322i | −0.0314511 | − | 0.419686i | −0.990601 | − | 0.136786i | \(-0.956323\pi\) |
0.959149 | − | 0.282900i | \(-0.0912964\pi\) | |||||||
\(692\) | −33.5898 | + | 16.1760i | −1.27689 | + | 0.614920i | ||||
\(693\) | 23.2989 | − | 25.2862i | 0.885052 | − | 0.960545i | ||||
\(694\) | 3.33875 | + | 1.60786i | 0.126737 | + | 0.0610334i | ||||
\(695\) | 7.29755 | − | 18.5938i | 0.276812 | − | 0.705305i | ||||
\(696\) | −5.23620 | + | 11.0681i | −0.198478 | + | 0.419537i | ||||
\(697\) | −3.00449 | − | 7.65533i | −0.113803 | − | 0.289966i | ||||
\(698\) | 0.531155 | − | 2.32714i | 0.0201045 | − | 0.0880836i | ||||
\(699\) | −0.141092 | − | 20.4125i | −0.00533659 | − | 0.772070i | ||||
\(700\) | 15.6106 | − | 5.94114i | 0.590024 | − | 0.224554i | ||||
\(701\) | −4.15644 | − | 5.21202i | −0.156987 | − | 0.196855i | 0.697118 | − | 0.716957i | \(-0.254466\pi\) |
−0.854104 | + | 0.520102i | \(0.825894\pi\) | |||||||
\(702\) | 2.97314 | − | 1.23861i | 0.112214 | − | 0.0467483i | ||||
\(703\) | −11.0098 | + | 3.39606i | −0.415241 | + | 0.128085i | ||||
\(704\) | −29.7756 | −1.12221 | ||||||||
\(705\) | 0.680762 | + | 4.31402i | 0.0256390 | + | 0.162475i | ||||
\(706\) | 3.54129 | − | 1.09234i | 0.133278 | − | 0.0411108i | ||||
\(707\) | 2.87762 | − | 5.82067i | 0.108224 | − | 0.218909i | ||||
\(708\) | 37.9892 | − | 15.2135i | 1.42772 | − | 0.571758i | ||||
\(709\) | 29.0201 | − | 26.9268i | 1.08987 | − | 1.01126i | 0.0899914 | − | 0.995943i | \(-0.471316\pi\) |
0.999883 | − | 0.0153129i | \(-0.00487443\pi\) | |||||||
\(710\) | 1.00576 | − | 2.56262i | 0.0377453 | − | 0.0961735i | ||||
\(711\) | 28.0830 | − | 14.0055i | 1.05319 | − | 0.525249i | ||||
\(712\) | −8.87271 | − | 2.73687i | −0.332519 | − | 0.102569i | ||||
\(713\) | −20.6140 | − | 6.35857i | −0.771999 | − | 0.238130i | ||||
\(714\) | 0.626769 | − | 0.780436i | 0.0234562 | − | 0.0292071i | ||||
\(715\) | −15.5817 | + | 4.80633i | −0.582724 | + | 0.179747i | ||||
\(716\) | −16.7394 | −0.625581 | ||||||||
\(717\) | 1.04306 | + | 6.60991i | 0.0389537 | + | 0.246852i | ||||
\(718\) | −1.64241 | + | 7.19589i | −0.0612943 | + | 0.268548i | ||||
\(719\) | −2.66103 | + | 35.5090i | −0.0992396 | + | 1.32426i | 0.696034 | + | 0.718009i | \(0.254946\pi\) |
−0.795273 | + | 0.606251i | \(0.792673\pi\) | |||||||
\(720\) | 13.2538 | − | 6.60993i | 0.493940 | − | 0.246338i | ||||
\(721\) | 11.6093 | − | 23.4827i | 0.432355 | − | 0.874540i | ||||
\(722\) | 2.60728 | + | 6.64324i | 0.0970329 | + | 0.247236i | ||||
\(723\) | −27.0390 | + | 40.2539i | −1.00559 | + | 1.49706i | ||||
\(724\) | −17.7851 | − | 45.3156i | −0.660976 | − | 1.68414i | ||||
\(725\) | 1.97545 | − | 26.3605i | 0.0733662 | − | 0.979004i | ||||
\(726\) | −1.98705 | + | 2.17144i | −0.0737462 | + | 0.0805895i | ||||
\(727\) | 33.0082 | − | 22.5046i | 1.22421 | − | 0.834649i | 0.233725 | − | 0.972303i | \(-0.424908\pi\) |
0.990480 | + | 0.137653i | \(0.0439560\pi\) | |||||||
\(728\) | 3.70624 | − | 5.31707i | 0.137362 | − | 0.197064i | ||||
\(729\) | 4.91155 | − | 26.5495i | 0.181909 | − | 0.983315i | ||||
\(730\) | 1.57026 | − | 1.07058i | 0.0581179 | − | 0.0396241i | ||||
\(731\) | 0.965594 | + | 4.23054i | 0.0357138 | + | 0.156472i | ||||
\(732\) | −7.12661 | − | 7.57497i | −0.263407 | − | 0.279979i | ||||
\(733\) | 6.70389 | − | 8.40641i | 0.247614 | − | 0.310498i | −0.642456 | − | 0.766323i | \(-0.722084\pi\) |
0.890069 | + | 0.455825i | \(0.150656\pi\) | |||||||
\(734\) | −0.240192 | − | 0.416024i | −0.00886563 | − | 0.0153557i | ||||
\(735\) | 4.53668 | + | 15.4603i | 0.167338 | + | 0.570264i | ||||
\(736\) | −5.71046 | + | 9.89080i | −0.210490 | + | 0.364580i | ||||
\(737\) | 10.2243 | + | 26.0511i | 0.376617 | + | 0.959603i | ||||
\(738\) | 5.35912 | + | 0.732143i | 0.197272 | + | 0.0269506i | ||||
\(739\) | 2.00729 | − | 1.86249i | 0.0738394 | − | 0.0685130i | −0.642390 | − | 0.766378i | \(-0.722057\pi\) |
0.716229 | + | 0.697865i | \(0.245866\pi\) | |||||||
\(740\) | −0.310911 | − | 4.14882i | −0.0114293 | − | 0.152514i | ||||
\(741\) | 35.1284 | − | 2.87681i | 1.29048 | − | 0.105682i | ||||
\(742\) | −0.890040 | − | 1.33490i | −0.0326744 | − | 0.0490059i | ||||
\(743\) | −1.51837 | − | 20.2613i | −0.0557037 | − | 0.743314i | −0.953209 | − | 0.302311i | \(-0.902242\pi\) |
0.897506 | − | 0.441003i | \(-0.145377\pi\) | |||||||
\(744\) | 7.02475 | + | 1.55235i | 0.257540 | + | 0.0569119i | ||||
\(745\) | 19.1265 | − | 9.21083i | 0.700740 | − | 0.337459i | ||||
\(746\) | 3.90311 | + | 0.588298i | 0.142903 | + | 0.0215391i | ||||
\(747\) | 2.86942 | + | 32.2927i | 0.104987 | + | 1.18153i | ||||
\(748\) | 5.26274 | − | 6.59926i | 0.192425 | − | 0.241293i | ||||
\(749\) | 2.12526 | + | 15.1626i | 0.0776553 | + | 0.554028i | ||||
\(750\) | 2.79988 | − | 3.05970i | 0.102237 | − | 0.111725i | ||||
\(751\) | −7.05583 | + | 3.39791i | −0.257471 | + | 0.123992i | −0.558167 | − | 0.829728i | \(-0.688495\pi\) |
0.300696 | + | 0.953720i | \(0.402781\pi\) | |||||||
\(752\) | −5.16720 | − | 4.79446i | −0.188428 | − | 0.174836i | ||||
\(753\) | −5.03407 | − | 1.93568i | −0.183452 | − | 0.0705401i | ||||
\(754\) | −2.53330 | − | 4.38780i | −0.0922572 | − | 0.159794i | ||||
\(755\) | 3.86526 | − | 16.9348i | 0.140671 | − | 0.616321i | ||||
\(756\) | −10.0638 | − | 24.8787i | −0.366018 | − | 0.904830i | ||||
\(757\) | 3.84030 | + | 16.8255i | 0.139578 | + | 0.611532i | 0.995528 | + | 0.0944721i | \(0.0301163\pi\) |
−0.855949 | + | 0.517060i | \(0.827027\pi\) | |||||||
\(758\) | −5.92800 | + | 5.50038i | −0.215315 | + | 0.199783i | ||||
\(759\) | −10.1562 | − | 32.1353i | −0.368647 | − | 1.16644i | ||||
\(760\) | −8.16459 | + | 1.23061i | −0.296161 | + | 0.0446391i | ||||
\(761\) | −4.92991 | − | 21.5993i | −0.178709 | − | 0.782975i | −0.982227 | − | 0.187695i | \(-0.939898\pi\) |
0.803518 | − | 0.595280i | \(-0.202959\pi\) | |||||||
\(762\) | 4.95260 | − | 1.98336i | 0.179414 | − | 0.0718497i | ||||
\(763\) | 3.73620 | − | 23.1603i | 0.135260 | − | 0.838458i | ||||
\(764\) | −1.11133 | + | 4.86904i | −0.0402064 | + | 0.176156i | ||||
\(765\) | −0.831779 | + | 3.89147i | −0.0300730 | + | 0.140696i | ||||
\(766\) | −3.26416 | − | 5.65369i | −0.117939 | − | 0.204276i | ||||
\(767\) | −7.62849 | + | 33.4226i | −0.275449 | + | 1.20682i | ||||
\(768\) | −9.11442 | + | 19.2658i | −0.328888 | + | 0.695195i | ||||
\(769\) | 13.1234 | − | 33.4379i | 0.473243 | − | 1.20580i | −0.472629 | − | 0.881262i | \(-0.656695\pi\) |
0.945872 | − | 0.324541i | \(-0.105210\pi\) | |||||||
\(770\) | −0.949435 | − | 3.19493i | −0.0342152 | − | 0.115137i | ||||
\(771\) | 7.37364 | − | 4.32540i | 0.265555 | − | 0.155775i | ||||
\(772\) | −5.14874 | + | 1.58818i | −0.185307 | + | 0.0571597i | ||||
\(773\) | −0.725282 | − | 0.109319i | −0.0260866 | − | 0.00393192i | 0.135986 | − | 0.990711i | \(-0.456580\pi\) |
−0.162073 | + | 0.986779i | \(0.551818\pi\) | |||||||
\(774\) | −2.73861 | − | 0.803462i | −0.0984372 | − | 0.0288798i | ||||
\(775\) | −15.3583 | + | 2.31490i | −0.551688 | + | 0.0831535i | ||||
\(776\) | 3.36300 | − | 2.29285i | 0.120725 | − | 0.0823086i | ||||
\(777\) | −7.34929 | − | 0.0252078i | −0.263654 | − | 0.000904324i | ||||
\(778\) | 4.08361 | + | 2.78416i | 0.146405 | + | 0.0998170i | ||||
\(779\) | 53.3289 | + | 25.6818i | 1.91070 | + | 0.920147i | ||||
\(780\) | −1.80987 | + | 12.5980i | −0.0648039 | + | 0.451079i | ||||
\(781\) | −36.9468 | − | 17.7926i | −1.32206 | − | 0.636671i | ||||
\(782\) | −0.358442 | − | 0.913296i | −0.0128179 | − | 0.0326594i | ||||
\(783\) | −42.4110 | − | 2.29514i | −1.51564 | − | 0.0820217i | ||||
\(784\) | −21.1786 | − | 15.0903i | −0.756378 | − | 0.538938i | ||||
\(785\) | −15.1394 | + | 26.2223i | −0.540349 | + | 0.935912i | ||||
\(786\) | 0.465700 | + | 0.264597i | 0.0166110 | + | 0.00943787i | ||||
\(787\) | −3.69233 | + | 2.51739i | −0.131617 | + | 0.0897351i | −0.627339 | − | 0.778746i | \(-0.715856\pi\) |
0.495722 | + | 0.868481i | \(0.334904\pi\) | |||||||
\(788\) | −13.9169 | − | 4.29279i | −0.495768 | − | 0.152924i | ||||
\(789\) | 7.92023 | + | 8.41853i | 0.281968 | + | 0.299707i | ||||
\(790\) | 0.227331 | − | 3.03352i | 0.00808806 | − | 0.107928i | ||||
\(791\) | 46.1311 | + | 18.6580i | 1.64023 | + | 0.663401i | ||||
\(792\) | 4.25044 | + | 10.4047i | 0.151033 | + | 0.369714i | ||||
\(793\) | 8.61552 | − | 1.29858i | 0.305946 | − | 0.0461139i | ||||
\(794\) | −1.61720 | + | 0.778801i | −0.0573922 | + | 0.0276386i | ||||
\(795\) | 5.54580 | + | 3.15096i | 0.196689 | + | 0.111753i | ||||
\(796\) | −6.84395 | + | 29.9853i | −0.242577 | + | 1.06280i | ||||
\(797\) | 31.6400 | + | 4.76896i | 1.12074 | + | 0.168925i | 0.683172 | − | 0.730258i | \(-0.260600\pi\) |
0.437573 | + | 0.899183i | \(0.355838\pi\) | |||||||
\(798\) | 0.513739 | + | 7.18603i | 0.0181862 | + | 0.254383i | ||||
\(799\) | 1.87277 | − | 0.282274i | 0.0662537 | − | 0.00998614i | ||||
\(800\) | −0.614498 | + | 8.19991i | −0.0217258 | + | 0.289911i | ||||
\(801\) | −2.85072 | − | 32.0823i | −0.100725 | − | 1.13357i | ||||
\(802\) | −3.38501 | − | 5.86301i | −0.119529 | − | 0.207030i | ||||
\(803\) | −14.1550 | − | 24.5172i | −0.499519 | − | 0.865192i | ||||
\(804\) | 21.7930 | + | 1.48176i | 0.768581 | + | 0.0522576i | ||||
\(805\) | 15.3597 | + | 3.67328i | 0.541358 | + | 0.129466i | ||||
\(806\) | −2.18224 | + | 2.02483i | −0.0768662 | + | 0.0713214i | ||||
\(807\) | 27.7592 | − | 11.1167i | 0.977172 | − | 0.391327i | ||||
\(808\) | 1.32335 | + | 1.65943i | 0.0465554 | + | 0.0583786i | ||||
\(809\) | 1.80286 | − | 4.59361i | 0.0633852 | − | 0.161503i | −0.895672 | − | 0.444715i | \(-0.853305\pi\) |
0.959057 | + | 0.283212i | \(0.0914001\pi\) | |||||||
\(810\) | −1.96708 | − | 1.72648i | −0.0691162 | − | 0.0606625i | ||||
\(811\) | 5.42495 | + | 23.7683i | 0.190496 | + | 0.834617i | 0.976348 | + | 0.216203i | \(0.0693673\pi\) |
−0.785853 | + | 0.618414i | \(0.787776\pi\) | |||||||
\(812\) | −36.7772 | + | 20.7292i | −1.29063 | + | 0.727451i | ||||
\(813\) | 8.05871 | + | 16.4424i | 0.282631 | + | 0.576660i | ||||
\(814\) | 1.52030 | 0.0532866 | ||||||||
\(815\) | 5.39659 | − | 9.34717i | 0.189034 | − | 0.327417i | ||||
\(816\) | −2.82660 | − | 5.76718i | −0.0989507 | − | 0.201892i | ||||
\(817\) | −25.8053 | − | 17.5937i | −0.902813 | − | 0.615527i | ||||
\(818\) | −3.61629 | − | 4.53468i | −0.126441 | − | 0.158552i | ||||
\(819\) | 21.9361 | + | 4.92647i | 0.766509 | + | 0.172145i | ||||
\(820\) | −13.3263 | + | 16.7106i | −0.465373 | + | 0.583559i | ||||
\(821\) | −29.2952 | + | 9.03638i | −1.02241 | + | 0.315372i | −0.760235 | − | 0.649648i | \(-0.774916\pi\) |
−0.262175 | + | 0.965020i | \(0.584440\pi\) | |||||||
\(822\) | −1.20654 | − | 0.685523i | −0.0420831 | − | 0.0239104i | ||||
\(823\) | −2.83934 | + | 37.8883i | −0.0989731 | + | 1.32070i | 0.697742 | + | 0.716349i | \(0.254188\pi\) |
−0.796715 | + | 0.604355i | \(0.793431\pi\) | |||||||
\(824\) | 5.33888 | + | 6.69474i | 0.185989 | + | 0.233222i | ||||
\(825\) | −16.6269 | − | 17.6730i | −0.578876 | − | 0.615295i | ||||
\(826\) | −6.81516 | − | 1.62985i | −0.237130 | − | 0.0567097i | ||||
\(827\) | −5.19199 | + | 2.50033i | −0.180543 | + | 0.0869450i | −0.521972 | − | 0.852963i | \(-0.674803\pi\) |
0.341429 | + | 0.939908i | \(0.389089\pi\) | |||||||
\(828\) | −26.0630 | − | 3.56063i | −0.905752 | − | 0.123741i | ||||
\(829\) | −2.84986 | + | 2.64429i | −0.0989799 | + | 0.0918399i | −0.728111 | − | 0.685459i | \(-0.759601\pi\) |
0.629131 | + | 0.777299i | \(0.283411\pi\) | |||||||
\(830\) | 2.83145 | + | 1.36355i | 0.0982810 | + | 0.0473297i | ||||
\(831\) | −11.3931 | + | 6.68320i | −0.395221 | + | 0.231838i | ||||
\(832\) | −9.73472 | − | 16.8610i | −0.337491 | − | 0.584551i | ||||
\(833\) | 6.71781 | − | 1.92094i | 0.232758 | − | 0.0665567i | ||||
\(834\) | 4.42951 | − | 3.58278i | 0.153381 | − | 0.124061i | ||||
\(835\) | −23.0454 | − | 3.47353i | −0.797518 | − | 0.120206i | ||||
\(836\) | 4.54001 | + | 60.5823i | 0.157020 | + | 2.09528i | ||||
\(837\) | 4.23027 | + | 24.5943i | 0.146220 | + | 0.850104i | ||||
\(838\) | −3.30549 | + | 2.25364i | −0.114186 | + | 0.0778509i | ||||
\(839\) | 1.02719 | − | 13.7069i | 0.0354625 | − | 0.473214i | −0.950996 | − | 0.309203i | \(-0.899938\pi\) |
0.986458 | − | 0.164011i | \(-0.0524433\pi\) | |||||||
\(840\) | −5.20525 | − | 0.802834i | −0.179598 | − | 0.0277004i | ||||
\(841\) | 2.82579 | + | 37.7075i | 0.0974410 | + | 1.30026i | ||||
\(842\) | 0.369456 | + | 0.463283i | 0.0127323 | + | 0.0159658i | ||||
\(843\) | −17.9810 | + | 38.0078i | −0.619299 | + | 1.30906i | ||||
\(844\) | 12.0311 | − | 15.0866i | 0.414129 | − | 0.519301i | ||||
\(845\) | 4.84821 | + | 4.49848i | 0.166783 | + | 0.154752i | ||||
\(846\) | −0.439016 | + | 1.16573i | −0.0150937 | + | 0.0400785i | ||||
\(847\) | −20.0769 | + | 4.36448i | −0.689851 | + | 0.149965i | ||||
\(848\) | −10.1797 | + | 1.53434i | −0.349571 | + | 0.0526894i | ||||
\(849\) | 1.35608 | − | 2.86644i | 0.0465406 | − | 0.0983761i | ||||
\(850\) | −0.517821 | − | 0.480468i | −0.0177611 | − | 0.0164799i | ||||
\(851\) | −3.60182 | + | 6.23854i | −0.123469 | + | 0.213854i | ||||
\(852\) | −24.8859 | + | 20.1288i | −0.852578 | + | 0.689602i | ||||
\(853\) | 7.49154 | + | 6.95113i | 0.256505 | + | 0.238002i | 0.797934 | − | 0.602744i | \(-0.205926\pi\) |
−0.541429 | + | 0.840746i | \(0.682117\pi\) | |||||||
\(854\) | 0.247207 | + | 1.76368i | 0.00845924 | + | 0.0603520i | ||||
\(855\) | −14.6622 | − | 24.6038i | −0.501437 | − | 0.841433i | ||||
\(856\) | −4.78247 | − | 1.47520i | −0.163461 | − | 0.0504212i | ||||
\(857\) | −30.9404 | − | 38.7981i | −1.05691 | − | 1.32532i | −0.943355 | − | 0.331785i | \(-0.892349\pi\) |
−0.113550 | − | 0.993532i | \(-0.536222\pi\) | |||||||
\(858\) | −4.54123 | − | 1.00353i | −0.155035 | − | 0.0342601i | ||||
\(859\) | 4.31907 | + | 18.9231i | 0.147365 | + | 0.645647i | 0.993611 | + | 0.112856i | \(0.0359998\pi\) |
−0.846247 | + | 0.532791i | \(0.821143\pi\) | |||||||
\(860\) | 8.26730 | − | 7.67094i | 0.281913 | − | 0.261577i | ||||
\(861\) | 27.5889 | + | 25.7754i | 0.940227 | + | 0.878424i | ||||
\(862\) | −4.76382 | − | 4.42018i | −0.162256 | − | 0.150552i | ||||
\(863\) | −19.3927 | + | 33.5891i | −0.660135 | + | 1.14339i | 0.320445 | + | 0.947267i | \(0.396167\pi\) |
−0.980580 | + | 0.196120i | \(0.937166\pi\) | |||||||
\(864\) | 13.1927 | + | 0.713946i | 0.448825 | + | 0.0242889i | ||||
\(865\) | −24.2524 | + | 7.48086i | −0.824605 | + | 0.254357i | ||||
\(866\) | 1.68058 | + | 1.14580i | 0.0571085 | + | 0.0389359i | ||||
\(867\) | −27.0662 | − | 5.98117i | −0.919217 | − | 0.203131i | ||||
\(868\) | 16.6827 | + | 18.3568i | 0.566247 | + | 0.623070i | ||||
\(869\) | −44.8082 | − | 6.75376i | −1.52002 | − | 0.229105i | ||||
\(870\) | −2.29572 | + | 3.41772i | −0.0778322 | + | 0.115872i | ||||
\(871\) | −11.4092 | + | 14.3067i | −0.386587 | + | 0.484765i | ||||
\(872\) | 6.33606 | + | 4.31985i | 0.214566 | + | 0.146289i | ||||
\(873\) | 11.7744 | + | 7.79146i | 0.398504 | + | 0.263701i | ||||
\(874\) | 6.36224 | + | 3.06389i | 0.215206 | + | 0.103638i | ||||
\(875\) | 28.2898 | − | 6.14986i | 0.956369 | − | 0.207903i | ||||
\(876\) | −22.0228 | + | 1.80354i | −0.744081 | + | 0.0609358i | ||||
\(877\) | 16.7313 | + | 8.05735i | 0.564975 | + | 0.272077i | 0.694493 | − | 0.719500i | \(-0.255629\pi\) |
−0.129518 | + | 0.991577i | \(0.541343\pi\) | |||||||
\(878\) | 3.36339 | + | 1.03747i | 0.113509 | + | 0.0350128i | ||||
\(879\) | 10.2036 | − | 33.9095i | 0.344158 | − | 1.14374i | ||||
\(880\) | −21.1473 | − | 3.18745i | −0.712876 | − | 0.107449i | ||||
\(881\) | 43.3966 | 1.46207 | 0.731034 | − | 0.682341i | \(-0.239038\pi\) | ||||
0.731034 | + | 0.682341i | \(0.239038\pi\) | |||||||
\(882\) | −1.05330 | + | 4.47313i | −0.0354664 | + | 0.150618i | ||||
\(883\) | −2.22831 | −0.0749886 | −0.0374943 | − | 0.999297i | \(-0.511938\pi\) | ||||
−0.0374943 | + | 0.999297i | \(0.511938\pi\) | |||||||
\(884\) | 5.45754 | + | 0.822592i | 0.183557 | + | 0.0276668i | ||||
\(885\) | 27.1161 | − | 6.38658i | 0.911498 | − | 0.214683i | ||||
\(886\) | 4.29337 | + | 1.32433i | 0.144239 | + | 0.0444917i | ||||
\(887\) | −1.18531 | − | 0.570816i | −0.0397989 | − | 0.0191661i | 0.413878 | − | 0.910332i | \(-0.364174\pi\) |
−0.453677 | + | 0.891166i | \(0.649888\pi\) | |||||||
\(888\) | 1.02736 | − | 2.17161i | 0.0344760 | − | 0.0728745i | ||||
\(889\) | 36.2187 | + | 8.66171i | 1.21474 | + | 0.290505i | ||||
\(890\) | −2.81300 | − | 1.35467i | −0.0942920 | − | 0.0454087i | ||||
\(891\) | −27.8358 | + | 27.2981i | −0.932533 | + | 0.914519i | ||||
\(892\) | 2.02920 | + | 1.38349i | 0.0679427 | + | 0.0463226i | ||||
\(893\) | −8.49905 | + | 10.6575i | −0.284410 | + | 0.356639i | ||||
\(894\) | 6.04086 | + | 0.410732i | 0.202036 | + | 0.0137369i | ||||
\(895\) | −11.2682 | − | 1.69840i | −0.376654 | − | 0.0567714i | ||||
\(896\) | 15.1877 | − | 8.56041i | 0.507384 | − | 0.285983i | ||||
\(897\) | 14.8768 | − | 16.2573i | 0.496723 | − | 0.542817i | ||||
\(898\) | 3.75518 | + | 2.56024i | 0.125312 | + | 0.0854364i | ||||
\(899\) | 37.5127 | − | 11.5711i | 1.25112 | − | 0.385919i | ||||
\(900\) | −18.0190 | + | 5.83210i | −0.600633 | + | 0.194403i | ||||
\(901\) | 1.38300 | − | 2.39543i | 0.0460744 | − | 0.0798033i | ||||
\(902\) | −5.72537 | − | 5.31237i | −0.190634 | − | 0.176882i | ||||
\(903\) | −12.3678 | − | 15.6183i | −0.411574 | − | 0.519745i | ||||
\(904\) | −11.9239 | + | 11.0638i | −0.396583 | + | 0.367975i | ||||
\(905\) | −7.37428 | − | 32.3088i | −0.245129 | − | 1.07398i | ||||
\(906\) | 3.34460 | − | 3.65496i | 0.111117 | − | 0.121428i | ||||
\(907\) | 15.5437 | + | 19.4912i | 0.516121 | + | 0.647195i | 0.969780 | − | 0.243980i | \(-0.0784532\pi\) |
−0.453659 | + | 0.891175i | \(0.649882\pi\) | |||||||
\(908\) | 30.5114 | + | 9.41153i | 1.01256 | + | 0.312333i | ||||
\(909\) | −3.59277 | + | 6.42642i | −0.119165 | + | 0.213151i | ||||
\(910\) | 1.49879 | − | 1.58217i | 0.0496844 | − | 0.0524486i | ||||
\(911\) | −10.8370 | − | 10.0552i | −0.359044 | − | 0.333144i | 0.479939 | − | 0.877302i | \(-0.340659\pi\) |
−0.838983 | + | 0.544158i | \(0.816849\pi\) | |||||||
\(912\) | 43.1468 | + | 16.5906i | 1.42873 | + | 0.549370i | ||||
\(913\) | 23.4068 | − | 40.5418i | 0.774653 | − | 1.34174i | ||||
\(914\) | −5.83262 | − | 5.41188i | −0.192926 | − | 0.179009i | ||||
\(915\) | −4.02873 | − | 5.82220i | −0.133186 | − | 0.192476i | ||||
\(916\) | −26.8080 | + | 4.04066i | −0.885761 | + | 0.133507i | ||||
\(917\) | 1.58729 | + | 3.38515i | 0.0524169 | + | 0.111788i | ||||
\(918\) | −0.754566 | + | 0.847828i | −0.0249044 | + | 0.0279825i | ||||
\(919\) | 20.6646 | + | 19.1739i | 0.681661 | + | 0.632489i | 0.943013 | − | 0.332755i | \(-0.107978\pi\) |
−0.261353 | + | 0.965243i | \(0.584169\pi\) | |||||||
\(920\) | −3.21870 | + | 4.03612i | −0.106117 | + | 0.133067i | ||||
\(921\) | −8.90426 | + | 0.729207i | −0.293405 | + | 0.0240282i | ||||
\(922\) | −1.28260 | − | 1.60834i | −0.0422403 | − | 0.0529677i | ||||
\(923\) | −2.00381 | − | 26.7389i | −0.0659561 | − | 0.880122i | ||||
\(924\) | −8.75270 | + | 37.7507i | −0.287943 | + | 1.24191i | ||||
\(925\) | −0.387590 | + | 5.17203i | −0.0127439 | + | 0.170055i | ||||
\(926\) | 0.345805 | − | 0.235766i | 0.0113639 | − | 0.00774775i | ||||
\(927\) | −14.4945 | + | 25.9265i | −0.476063 | + | 0.851537i | ||||
\(928\) | −1.55315 | − | 20.7254i | −0.0509847 | − | 0.680343i | ||||
\(929\) | −23.5210 | − | 3.54522i | −0.771699 | − | 0.116315i | −0.248622 | − | 0.968601i | \(-0.579978\pi\) |
−0.523077 | + | 0.852286i | \(0.675216\pi\) | |||||||
\(930\) | 2.25792 | + | 0.868207i | 0.0740402 | + | 0.0284696i | ||||
\(931\) | −26.0399 | + | 43.0223i | −0.853423 | + | 1.41000i | ||||
\(932\) | 11.5032 | + | 19.9242i | 0.376801 | + | 0.652639i | ||||
\(933\) | 0.0974745 | + | 14.1021i | 0.00319117 | + | 0.461682i | ||||
\(934\) | 1.48575 | + | 0.715498i | 0.0486151 | + | 0.0234118i | ||||
\(935\) | 4.21220 | − | 3.90835i | 0.137754 | − | 0.127817i | ||||
\(936\) | −4.50224 | + | 5.80856i | −0.147160 | + | 0.189859i | ||||
\(937\) | 13.3407 | − | 6.42455i | 0.435822 | − | 0.209881i | −0.203091 | − | 0.979160i | \(-0.565099\pi\) |
0.638913 | + | 0.769279i | \(0.279384\pi\) | |||||||
\(938\) | −2.90006 | − | 2.36219i | −0.0946902 | − | 0.0771284i | ||||
\(939\) | −10.6703 | + | 35.4607i | −0.348213 | + | 1.15722i | ||||
\(940\) | −3.06900 | − | 3.84840i | −0.100100 | − | 0.125521i | ||||
\(941\) | 1.76835 | − | 23.5970i | 0.0576465 | − | 0.769239i | −0.891222 | − | 0.453567i | \(-0.850151\pi\) |
0.948868 | − | 0.315672i | \(-0.102230\pi\) | |||||||
\(942\) | −7.44899 | + | 4.36960i | −0.242701 | + | 0.142369i | ||||
\(943\) | 35.3635 | − | 10.9082i | 1.15159 | − | 0.355219i | ||||
\(944\) | −28.0335 | + | 35.1530i | −0.912414 | + | 1.14413i | ||||
\(945\) | −4.25027 | − | 17.7683i | −0.138261 | − | 0.578002i | ||||
\(946\) | 2.56950 | + | 3.22205i | 0.0835417 | + | 0.104758i | ||||
\(947\) | −30.4674 | − | 20.7723i | −0.990058 | − | 0.675010i | −0.0440082 | − | 0.999031i | \(-0.514013\pi\) |
−0.946050 | + | 0.324021i | \(0.894965\pi\) | |||||||
\(948\) | −19.7215 | + | 29.3601i | −0.640524 | + | 0.953571i | ||||
\(949\) | 9.25555 | − | 16.0311i | 0.300448 | − | 0.520391i | ||||
\(950\) | 5.08422 | 0.164954 | ||||||||
\(951\) | −55.7700 | − | 3.79193i | −1.80847 | − | 0.122962i | ||||
\(952\) | −0.363742 | + | 2.25479i | −0.0117889 | + | 0.0730782i | ||||
\(953\) | −10.8430 | − | 47.5063i | −0.351239 | − | 1.53888i | −0.774325 | − | 0.632789i | \(-0.781910\pi\) |
0.423086 | − | 0.906090i | \(-0.360947\pi\) | |||||||
\(954\) | 0.931309 | + | 1.56278i | 0.0301522 | + | 0.0505968i | ||||
\(955\) | −1.24211 | + | 3.16485i | −0.0401938 | + | 0.102412i | ||||
\(956\) | −4.70230 | − | 5.89650i | −0.152083 | − | 0.190706i | ||||
\(957\) | 48.2129 | + | 37.9063i | 1.55850 | + | 1.22534i | ||||
\(958\) | 1.72698 | − | 1.60240i | 0.0557961 | − | 0.0517713i | ||||
\(959\) | −4.11237 | − | 8.77031i | −0.132795 | − | 0.283208i | ||||
\(960\) | −8.82178 | + | 13.1333i | −0.284722 | + | 0.423876i | ||||
\(961\) | 3.96713 | + | 6.87127i | 0.127972 | + | 0.221654i | ||||
\(962\) | 0.497042 | + | 0.860902i | 0.0160253 | + | 0.0277566i | ||||
\(963\) | −1.53656 | − | 17.2927i | −0.0495151 | − | 0.557248i | ||||
\(964\) | 4.08424 | − | 54.5004i | 0.131544 | − | 1.75534i | ||||
\(965\) | −3.62703 | + | 0.546687i | −0.116758 | + | 0.0175985i | ||||
\(966\) | 3.29141 | + | 3.07506i | 0.105899 | + | 0.0989384i | ||||
\(967\) | −2.38122 | − | 0.358910i | −0.0765747 | − | 0.0115418i | 0.110643 | − | 0.993860i | \(-0.464709\pi\) |
−0.187218 | + | 0.982318i | \(0.559947\pi\) | |||||||
\(968\) | 1.49447 | − | 6.54768i | 0.0480339 | − | 0.210450i | ||||
\(969\) | −10.7131 | + | 6.28435i | −0.344155 | + | 0.201882i | ||||
\(970\) | 1.23310 | − | 0.593829i | 0.0395924 | − | 0.0190667i | ||||
\(971\) | −40.9702 | + | 6.17526i | −1.31479 | + | 0.198173i | −0.768732 | − | 0.639571i | \(-0.779112\pi\) |
−0.546063 | + | 0.837744i | \(0.683874\pi\) | |||||||
\(972\) | 9.96891 | + | 28.7512i | 0.319753 | + | 0.922195i | ||||
\(973\) | 39.6851 | − | 2.56157i | 1.27225 | − | 0.0821202i | ||||
\(974\) | −0.349028 | + | 4.65746i | −0.0111836 | + | 0.149235i | ||||
\(975\) | 4.57174 | − | 15.1933i | 0.146413 | − | 0.486574i | ||||
\(976\) | 10.9195 | + | 3.36823i | 0.349526 | + | 0.107814i | ||||
\(977\) | 24.4223 | − | 16.6509i | 0.781339 | − | 0.532708i | −0.105702 | − | 0.994398i | \(-0.533709\pi\) |
0.887041 | + | 0.461690i | \(0.152757\pi\) | |||||||
\(978\) | 2.65526 | − | 1.55759i | 0.0849060 | − | 0.0498061i | ||||
\(979\) | −23.2543 | + | 40.2777i | −0.743212 | + | 1.28728i | ||||
\(980\) | −13.0534 | − | 12.6242i | −0.416976 | − | 0.403264i | ||||
\(981\) | −5.56017 | + | 26.0132i | −0.177523 | + | 0.830538i | ||||
\(982\) | 2.10924 | + | 5.37426i | 0.0673086 | + | 0.171500i | ||||
\(983\) | 20.0402 | + | 9.65086i | 0.639184 | + | 0.307815i | 0.725261 | − | 0.688474i | \(-0.241719\pi\) |
−0.0860774 | + | 0.996288i | \(0.527433\pi\) | |||||||
\(984\) | −11.4572 | + | 4.58826i | −0.365242 | + | 0.146268i | ||||
\(985\) | −8.93264 | − | 4.30173i | −0.284618 | − | 0.137065i | ||||
\(986\) | 1.47518 | + | 1.00576i | 0.0469792 | + | 0.0320299i | ||||
\(987\) | −7.20100 | + | 4.87346i | −0.229210 | + | 0.155124i | ||||
\(988\) | −32.8216 | + | 22.3774i | −1.04419 | + | 0.711920i | ||||
\(989\) | −19.3092 | + | 2.91039i | −0.613996 | + | 0.0925450i | ||||
\(990\) | 0.891824 | + | 3.67256i | 0.0283440 | + | 0.116722i | ||||
\(991\) | 52.6895 | + | 7.94167i | 1.67374 | + | 0.252275i | 0.916260 | − | 0.400585i | \(-0.131193\pi\) |
0.757478 | + | 0.652860i | \(0.226431\pi\) | |||||||
\(992\) | −11.6690 | + | 3.59942i | −0.370492 | + | 0.114282i | ||||
\(993\) | −30.8803 | − | 17.5453i | −0.979956 | − | 0.556782i | ||||
\(994\) | 5.46944 | − | 0.353038i | 0.173480 | − | 0.0111977i | ||||
\(995\) | −7.64938 | + | 19.4903i | −0.242502 | + | 0.617884i | ||||
\(996\) | −20.7913 | − | 30.0470i | −0.658799 | − | 0.952074i | ||||
\(997\) | −1.77842 | + | 7.79176i | −0.0563231 | + | 0.246768i | −0.995250 | − | 0.0973479i | \(-0.968964\pi\) |
0.938927 | + | 0.344116i | \(0.111821\pi\) | |||||||
\(998\) | −1.74444 | − | 3.02146i | −0.0552193 | − | 0.0956426i | ||||
\(999\) | 8.32119 | + | 0.450316i | 0.263271 | + | 0.0142474i |
(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 | 441.2.z.a.16.26 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.310.29 | ✓ | 648 | ||
49.46 | even | 21 | 441.2.y.a.340.29 | yes | 648 | ||
441.193 | even | 21 | inner | 441.2.z.a.193.26 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.310.29 | ✓ | 648 | 9.4 | even | 3 | ||
441.2.y.a.340.29 | yes | 648 | 49.46 | even | 21 | ||
441.2.z.a.16.26 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.193.26 | yes | 648 | 441.193 | even | 21 | inner |