Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(8,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.u (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 8.19 | ||
Character | \(\chi\) | \(=\) | 287.8 |
Dual form | 287.2.u.a.36.19 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41470 | − | 1.94717i | 1.00035 | − | 1.37686i | 0.0752321 | − | 0.997166i | \(-0.476030\pi\) |
0.925113 | − | 0.379691i | \(-0.123970\pi\) | |||||||
\(3\) | 0.651505 | + | 0.651505i | 0.376147 | + | 0.376147i | 0.869710 | − | 0.493563i | \(-0.164306\pi\) |
−0.493563 | + | 0.869710i | \(0.664306\pi\) | |||||||
\(4\) | −1.17206 | − | 3.60722i | −0.586028 | − | 1.80361i | ||||
\(5\) | 0.379466 | − | 0.123296i | 0.169702 | − | 0.0551397i | −0.222933 | − | 0.974834i | \(-0.571563\pi\) |
0.392636 | + | 0.919694i | \(0.371563\pi\) | |||||||
\(6\) | 2.19028 | − | 0.346906i | 0.894177 | − | 0.141624i | ||||
\(7\) | 0.987688 | + | 0.156434i | 0.373311 | + | 0.0591267i | ||||
\(8\) | −4.10391 | − | 1.33344i | −1.45095 | − | 0.471442i | ||||
\(9\) | − | 2.15108i | − | 0.717027i | ||||||
\(10\) | 0.296753 | − | 0.913312i | 0.0938416 | − | 0.288815i | ||||
\(11\) | −2.42487 | + | 1.23553i | −0.731127 | + | 0.372528i | −0.779584 | − | 0.626298i | \(-0.784570\pi\) |
0.0484573 | + | 0.998825i | \(0.484570\pi\) | |||||||
\(12\) | 1.58652 | − | 3.11372i | 0.457989 | − | 0.898854i | ||||
\(13\) | 0.0367267 | + | 0.231883i | 0.0101862 | + | 0.0643128i | 0.992258 | − | 0.124195i | \(-0.0396349\pi\) |
−0.982072 | + | 0.188508i | \(0.939635\pi\) | |||||||
\(14\) | 1.70189 | − | 1.70189i | 0.454849 | − | 0.454849i | ||||
\(15\) | 0.327552 | + | 0.166896i | 0.0845736 | + | 0.0430924i | ||||
\(16\) | −2.26527 | + | 1.64582i | −0.566318 | + | 0.411454i | ||||
\(17\) | 2.24408 | + | 4.40426i | 0.544270 | + | 1.06819i | 0.985322 | + | 0.170709i | \(0.0546057\pi\) |
−0.441051 | + | 0.897482i | \(0.645394\pi\) | |||||||
\(18\) | −4.18852 | − | 3.04314i | −0.987244 | − | 0.717275i | ||||
\(19\) | 0.00955857 | − | 0.0603504i | 0.00219289 | − | 0.0138453i | −0.986568 | − | 0.163353i | \(-0.947769\pi\) |
0.988761 | + | 0.149508i | \(0.0477690\pi\) | |||||||
\(20\) | −0.889511 | − | 1.22431i | −0.198901 | − | 0.273763i | ||||
\(21\) | 0.541566 | + | 0.745402i | 0.118179 | + | 0.162660i | ||||
\(22\) | −1.02468 | + | 6.46955i | −0.218462 | + | 1.37931i | ||||
\(23\) | −1.99106 | − | 1.44659i | −0.415165 | − | 0.301635i | 0.360524 | − | 0.932750i | \(-0.382598\pi\) |
−0.775690 | + | 0.631114i | \(0.782598\pi\) | |||||||
\(24\) | −1.80497 | − | 3.54246i | −0.368439 | − | 0.723102i | ||||
\(25\) | −3.91629 | + | 2.84535i | −0.783258 | + | 0.569071i | ||||
\(26\) | 0.503473 | + | 0.256533i | 0.0987393 | + | 0.0503102i | ||||
\(27\) | 3.35596 | − | 3.35596i | 0.645854 | − | 0.645854i | ||||
\(28\) | −0.593333 | − | 3.74616i | −0.112129 | − | 0.707957i | ||||
\(29\) | −2.69948 | + | 5.29803i | −0.501281 | + | 0.983819i | 0.492271 | + | 0.870442i | \(0.336167\pi\) |
−0.993552 | + | 0.113377i | \(0.963833\pi\) | |||||||
\(30\) | 0.788364 | − | 0.401692i | 0.143935 | − | 0.0733385i | ||||
\(31\) | −0.426055 | + | 1.31126i | −0.0765218 | + | 0.235510i | −0.981999 | − | 0.188884i | \(-0.939513\pi\) |
0.905478 | + | 0.424394i | \(0.139513\pi\) | |||||||
\(32\) | − | 1.89099i | − | 0.334283i | ||||||
\(33\) | −2.38477 | − | 0.774860i | −0.415136 | − | 0.134886i | ||||
\(34\) | 11.7506 | + | 1.86111i | 2.01520 | + | 0.319177i | ||||
\(35\) | 0.394082 | − | 0.0624165i | 0.0666120 | − | 0.0105503i | ||||
\(36\) | −7.75942 | + | 2.52119i | −1.29324 | + | 0.420198i | ||||
\(37\) | 2.08563 | + | 6.41890i | 0.342875 | + | 1.05526i | 0.962712 | + | 0.270530i | \(0.0871989\pi\) |
−0.619837 | + | 0.784731i | \(0.712801\pi\) | |||||||
\(38\) | −0.103990 | − | 0.103990i | −0.0168694 | − | 0.0168694i | ||||
\(39\) | −0.127145 | + | 0.175001i | −0.0203596 | + | 0.0280225i | ||||
\(40\) | −1.72170 | −0.272225 | ||||||||
\(41\) | 0.0982975 | + | 6.40237i | 0.0153515 | + | 0.999882i | ||||
\(42\) | 2.21758 | 0.342180 | ||||||||
\(43\) | 1.77558 | − | 2.44388i | 0.270774 | − | 0.372688i | −0.651877 | − | 0.758325i | \(-0.726018\pi\) |
0.922651 | + | 0.385636i | \(0.126018\pi\) | |||||||
\(44\) | 7.29893 | + | 7.29893i | 1.10036 | + | 1.10036i | ||||
\(45\) | −0.265220 | − | 0.816263i | −0.0395366 | − | 0.121681i | ||||
\(46\) | −5.63352 | + | 1.83044i | −0.830618 | + | 0.269884i | ||||
\(47\) | 4.79117 | − | 0.758847i | 0.698864 | − | 0.110689i | 0.203115 | − | 0.979155i | \(-0.434894\pi\) |
0.495749 | + | 0.868466i | \(0.334894\pi\) | |||||||
\(48\) | −2.54810 | − | 0.403579i | −0.367786 | − | 0.0582516i | ||||
\(49\) | 0.951057 | + | 0.309017i | 0.135865 | + | 0.0441453i | ||||
\(50\) | 11.6510i | 1.64770i | ||||||||
\(51\) | −1.40737 | + | 4.33143i | −0.197071 | + | 0.606522i | ||||
\(52\) | 0.793408 | − | 0.404261i | 0.110026 | − | 0.0560610i | ||||
\(53\) | 0.691095 | − | 1.35635i | 0.0949292 | − | 0.186309i | −0.838659 | − | 0.544657i | \(-0.816660\pi\) |
0.933588 | + | 0.358348i | \(0.116660\pi\) | |||||||
\(54\) | −1.78694 | − | 11.2823i | −0.243172 | − | 1.53533i | ||||
\(55\) | −0.767821 | + | 0.767821i | −0.103533 | + | 0.103533i | ||||
\(56\) | −3.84478 | − | 1.95902i | −0.513781 | − | 0.261784i | ||||
\(57\) | 0.0455461 | − | 0.0330912i | 0.00603272 | − | 0.00438303i | ||||
\(58\) | 6.49720 | + | 12.7515i | 0.853124 | + | 1.67435i | ||||
\(59\) | 2.59538 | + | 1.88566i | 0.337890 | + | 0.245491i | 0.743771 | − | 0.668434i | \(-0.233035\pi\) |
−0.405881 | + | 0.913926i | \(0.633035\pi\) | |||||||
\(60\) | 0.218121 | − | 1.37716i | 0.0281593 | − | 0.177791i | ||||
\(61\) | −5.37806 | − | 7.40227i | −0.688591 | − | 0.947764i | 0.311406 | − | 0.950277i | \(-0.399200\pi\) |
−0.999997 | + | 0.00251331i | \(0.999200\pi\) | |||||||
\(62\) | 1.95051 | + | 2.68465i | 0.247715 | + | 0.340951i | ||||
\(63\) | 0.336503 | − | 2.12460i | 0.0423954 | − | 0.267674i | ||||
\(64\) | −8.21263 | − | 5.96682i | −1.02658 | − | 0.745853i | ||||
\(65\) | 0.0425268 | + | 0.0834636i | 0.00527480 | + | 0.0103524i | ||||
\(66\) | −4.88253 | + | 3.54737i | −0.600998 | + | 0.436651i | ||||
\(67\) | −8.71015 | − | 4.43804i | −1.06411 | − | 0.542193i | −0.167895 | − | 0.985805i | \(-0.553697\pi\) |
−0.896219 | + | 0.443612i | \(0.853697\pi\) | |||||||
\(68\) | 13.2569 | − | 13.2569i | 1.60764 | − | 1.60764i | ||||
\(69\) | −0.354726 | − | 2.23965i | −0.0427040 | − | 0.269622i | ||||
\(70\) | 0.435973 | − | 0.855645i | 0.0521088 | − | 0.102269i | ||||
\(71\) | 2.09749 | − | 1.06873i | 0.248927 | − | 0.126834i | −0.325076 | − | 0.945688i | \(-0.605390\pi\) |
0.574003 | + | 0.818853i | \(0.305390\pi\) | |||||||
\(72\) | −2.86834 | + | 8.82784i | −0.338037 | + | 1.04037i | ||||
\(73\) | − | 13.2249i | − | 1.54786i | −0.633270 | − | 0.773931i | \(-0.718288\pi\) | ||
0.633270 | − | 0.773931i | \(-0.281712\pi\) | |||||||
\(74\) | 15.4492 | + | 5.01976i | 1.79594 | + | 0.583535i | ||||
\(75\) | −4.40525 | − | 0.697723i | −0.508674 | − | 0.0805661i | ||||
\(76\) | −0.228900 | + | 0.0362542i | −0.0262567 | + | 0.00415865i | ||||
\(77\) | −2.58830 | + | 0.840989i | −0.294964 | + | 0.0958396i | ||||
\(78\) | 0.160883 | + | 0.495148i | 0.0182164 | + | 0.0560645i | ||||
\(79\) | −1.91331 | − | 1.91331i | −0.215265 | − | 0.215265i | 0.591235 | − | 0.806499i | \(-0.298641\pi\) |
−0.806499 | + | 0.591235i | \(0.798641\pi\) | |||||||
\(80\) | −0.656672 | + | 0.903831i | −0.0734181 | + | 0.101051i | ||||
\(81\) | −2.08040 | −0.231155 | ||||||||
\(82\) | 12.6056 | + | 8.86604i | 1.39205 | + | 0.979091i | ||||
\(83\) | −7.93897 | −0.871415 | −0.435708 | − | 0.900088i | \(-0.643502\pi\) | ||||
−0.435708 | + | 0.900088i | \(0.643502\pi\) | |||||||
\(84\) | 2.05408 | − | 2.82720i | 0.224119 | − | 0.308473i | ||||
\(85\) | 1.39458 | + | 1.39458i | 0.151264 | + | 0.151264i | ||||
\(86\) | −2.24673 | − | 6.91473i | −0.242271 | − | 0.745634i | ||||
\(87\) | −5.21042 | + | 1.69297i | −0.558615 | + | 0.181505i | ||||
\(88\) | 11.5990 | − | 1.83710i | 1.23645 | − | 0.195835i | ||||
\(89\) | 9.85104 | + | 1.56025i | 1.04421 | + | 0.165386i | 0.654895 | − | 0.755720i | \(-0.272713\pi\) |
0.389312 | + | 0.921106i | \(0.372713\pi\) | |||||||
\(90\) | −1.96461 | − | 0.638340i | −0.207088 | − | 0.0672870i | ||||
\(91\) | 0.234774i | 0.0246110i | ||||||||
\(92\) | −2.88454 | + | 8.87769i | −0.300734 | + | 0.925563i | ||||
\(93\) | −1.13187 | + | 0.576718i | −0.117370 | + | 0.0598028i | ||||
\(94\) | 5.30047 | − | 10.4028i | 0.546702 | − | 1.07296i | ||||
\(95\) | −0.00381381 | − | 0.0240795i | −0.000391289 | − | 0.00247050i | ||||
\(96\) | 1.23199 | − | 1.23199i | 0.125740 | − | 0.125740i | ||||
\(97\) | −2.05084 | − | 1.04496i | −0.208231 | − | 0.106099i | 0.346765 | − | 0.937952i | \(-0.387280\pi\) |
−0.554996 | + | 0.831853i | \(0.687280\pi\) | |||||||
\(98\) | 1.94717 | − | 1.41470i | 0.196694 | − | 0.142906i | ||||
\(99\) | 2.65774 | + | 5.21610i | 0.267113 | + | 0.524238i | ||||
\(100\) | 14.8539 | + | 10.7920i | 1.48539 | + | 1.07920i | ||||
\(101\) | −1.93324 | + | 12.2060i | −0.192365 | + | 1.21455i | 0.682758 | + | 0.730645i | \(0.260780\pi\) |
−0.875123 | + | 0.483900i | \(0.839220\pi\) | |||||||
\(102\) | 6.44303 | + | 8.86807i | 0.637955 | + | 0.878070i | ||||
\(103\) | 0.0994953 | + | 0.136943i | 0.00980356 | + | 0.0134934i | 0.813891 | − | 0.581018i | \(-0.197345\pi\) |
−0.804087 | + | 0.594512i | \(0.797345\pi\) | |||||||
\(104\) | 0.158479 | − | 1.00060i | 0.0155402 | − | 0.0981169i | ||||
\(105\) | 0.297411 | + | 0.216082i | 0.0290244 | + | 0.0210874i | ||||
\(106\) | −1.66335 | − | 3.26451i | −0.161559 | − | 0.317077i | ||||
\(107\) | 9.60544 | − | 6.97876i | 0.928593 | − | 0.674662i | −0.0170550 | − | 0.999855i | \(-0.505429\pi\) |
0.945648 | + | 0.325192i | \(0.105429\pi\) | |||||||
\(108\) | −16.0390 | − | 8.17230i | −1.54336 | − | 0.786380i | ||||
\(109\) | 4.93040 | − | 4.93040i | 0.472247 | − | 0.472247i | −0.430394 | − | 0.902641i | \(-0.641625\pi\) |
0.902641 | + | 0.430394i | \(0.141625\pi\) | |||||||
\(110\) | 0.408840 | + | 2.58132i | 0.0389814 | + | 0.246119i | ||||
\(111\) | −2.82315 | + | 5.54074i | −0.267962 | + | 0.525904i | ||||
\(112\) | −2.49485 | + | 1.27119i | −0.235741 | + | 0.120116i | ||||
\(113\) | 0.569088 | − | 1.75147i | 0.0535353 | − | 0.164765i | −0.920714 | − | 0.390238i | \(-0.872393\pi\) |
0.974249 | + | 0.225473i | \(0.0723928\pi\) | |||||||
\(114\) | − | 0.135500i | − | 0.0126907i | ||||||
\(115\) | −0.933900 | − | 0.303443i | −0.0870866 | − | 0.0282962i | ||||
\(116\) | 22.2751 | + | 3.52803i | 2.06819 | + | 0.327569i | ||||
\(117\) | 0.498800 | − | 0.0790021i | 0.0461141 | − | 0.00730375i | ||||
\(118\) | 7.34338 | − | 2.38601i | 0.676013 | − | 0.219650i | ||||
\(119\) | 1.52748 | + | 4.70109i | 0.140024 | + | 0.430948i | ||||
\(120\) | −1.12170 | − | 1.12170i | −0.102396 | − | 0.102396i | ||||
\(121\) | −2.11217 | + | 2.90716i | −0.192016 | + | 0.264287i | ||||
\(122\) | −22.0218 | −1.99376 | ||||||||
\(123\) | −4.10714 | + | 4.23522i | −0.370328 | + | 0.381877i | ||||
\(124\) | 5.22937 | 0.469612 | ||||||||
\(125\) | −2.30789 | + | 3.17654i | −0.206424 | + | 0.284119i | ||||
\(126\) | −3.66090 | − | 3.66090i | −0.326139 | − | 0.326139i | ||||
\(127\) | −4.24341 | − | 13.0599i | −0.376542 | − | 1.15888i | −0.942433 | − | 0.334396i | \(-0.891468\pi\) |
0.565891 | − | 0.824480i | \(-0.308532\pi\) | |||||||
\(128\) | −19.6400 | + | 6.38141i | −1.73594 | + | 0.564042i | ||||
\(129\) | 2.74900 | − | 0.435399i | 0.242036 | − | 0.0383348i | ||||
\(130\) | 0.222681 | + | 0.0352691i | 0.0195304 | + | 0.00309331i | ||||
\(131\) | −19.2753 | − | 6.26294i | −1.68409 | − | 0.547195i | −0.698395 | − | 0.715712i | \(-0.746102\pi\) |
−0.985699 | + | 0.168517i | \(0.946102\pi\) | |||||||
\(132\) | 9.51058i | 0.827790i | ||||||||
\(133\) | 0.0188818 | − | 0.0581121i | 0.00163726 | − | 0.00503896i | ||||
\(134\) | −20.9639 | + | 10.6816i | −1.81100 | + | 0.922753i | ||||
\(135\) | 0.859696 | − | 1.68725i | 0.0739908 | − | 0.145215i | ||||
\(136\) | −3.33669 | − | 21.0670i | −0.286119 | − | 1.80648i | ||||
\(137\) | −0.265393 | + | 0.265393i | −0.0226740 | + | 0.0226740i | −0.718353 | − | 0.695679i | \(-0.755104\pi\) |
0.695679 | + | 0.718353i | \(0.255104\pi\) | |||||||
\(138\) | −4.86281 | − | 2.47773i | −0.413950 | − | 0.210918i | ||||
\(139\) | −5.22398 | + | 3.79544i | −0.443092 | + | 0.321925i | −0.786862 | − | 0.617128i | \(-0.788296\pi\) |
0.343770 | + | 0.939054i | \(0.388296\pi\) | |||||||
\(140\) | −0.687036 | − | 1.34838i | −0.0580651 | − | 0.113959i | ||||
\(141\) | 3.61586 | + | 2.62708i | 0.304511 | + | 0.221240i | ||||
\(142\) | 0.886336 | − | 5.59610i | 0.0743796 | − | 0.469615i | ||||
\(143\) | −0.375557 | − | 0.516910i | −0.0314057 | − | 0.0432262i | ||||
\(144\) | 3.54029 | + | 4.87279i | 0.295024 | + | 0.406066i | ||||
\(145\) | −0.371135 | + | 2.34326i | −0.0308211 | + | 0.194597i | ||||
\(146\) | −25.7512 | − | 18.7093i | −2.13118 | − | 1.54840i | ||||
\(147\) | 0.418292 | + | 0.820945i | 0.0345002 | + | 0.0677104i | ||||
\(148\) | 20.7099 | − | 15.0466i | 1.70234 | − | 1.23682i | ||||
\(149\) | −17.1754 | − | 8.75131i | −1.40706 | − | 0.716935i | −0.424949 | − | 0.905217i | \(-0.639708\pi\) |
−0.982115 | + | 0.188282i | \(0.939708\pi\) | |||||||
\(150\) | −7.59070 | + | 7.59070i | −0.619778 | + | 0.619778i | ||||
\(151\) | −3.50868 | − | 22.1529i | −0.285532 | − | 1.80278i | −0.546529 | − | 0.837440i | \(-0.684051\pi\) |
0.260997 | − | 0.965340i | \(-0.415949\pi\) | |||||||
\(152\) | −0.119701 | + | 0.234927i | −0.00970904 | + | 0.0190551i | ||||
\(153\) | 9.47393 | − | 4.82721i | 0.765922 | − | 0.390257i | ||||
\(154\) | −2.02412 | + | 6.22961i | −0.163108 | + | 0.501996i | ||||
\(155\) | 0.550111i | 0.0441860i | ||||||||
\(156\) | 0.780288 | + | 0.253531i | 0.0624730 | + | 0.0202987i | ||||
\(157\) | 10.3641 | + | 1.64152i | 0.827149 | + | 0.131008i | 0.555634 | − | 0.831427i | \(-0.312475\pi\) |
0.271515 | + | 0.962434i | \(0.412475\pi\) | |||||||
\(158\) | −6.43232 | + | 1.01878i | −0.511728 | + | 0.0810497i | ||||
\(159\) | 1.33392 | − | 0.433417i | 0.105787 | − | 0.0343722i | ||||
\(160\) | −0.233152 | − | 0.717567i | −0.0184323 | − | 0.0567287i | ||||
\(161\) | −1.74025 | − | 1.74025i | −0.137151 | − | 0.137151i | ||||
\(162\) | −2.94314 | + | 4.05089i | −0.231235 | + | 0.318268i | ||||
\(163\) | −14.4238 | −1.12976 | −0.564880 | − | 0.825173i | \(-0.691077\pi\) | ||||
−0.564880 | + | 0.825173i | \(0.691077\pi\) | |||||||
\(164\) | 22.9795 | − | 7.85852i | 1.79440 | − | 0.613647i | ||||
\(165\) | −1.00048 | −0.0778871 | ||||||||
\(166\) | −11.2313 | + | 15.4585i | −0.871716 | + | 1.19981i | ||||
\(167\) | 4.10719 | + | 4.10719i | 0.317824 | + | 0.317824i | 0.847931 | − | 0.530107i | \(-0.177848\pi\) |
−0.530107 | + | 0.847931i | \(0.677848\pi\) | |||||||
\(168\) | −1.22859 | − | 3.78121i | −0.0947877 | − | 0.291726i | ||||
\(169\) | 12.3113 | − | 4.00019i | 0.947024 | − | 0.307707i | ||||
\(170\) | 4.68841 | − | 0.742571i | 0.359584 | − | 0.0569526i | ||||
\(171\) | −0.129819 | − | 0.0205613i | −0.00992748 | − | 0.00157236i | ||||
\(172\) | −10.8967 | − | 3.54055i | −0.830865 | − | 0.269965i | ||||
\(173\) | 25.5167i | 1.94000i | 0.243110 | + | 0.969999i | \(0.421832\pi\) | ||||
−0.243110 | + | 0.969999i | \(0.578168\pi\) | |||||||
\(174\) | −4.07469 | + | 12.5406i | −0.308902 | + | 0.950701i | ||||
\(175\) | −4.31319 | + | 2.19768i | −0.326046 | + | 0.166129i | ||||
\(176\) | 3.45954 | − | 6.78972i | 0.260772 | − | 0.511795i | ||||
\(177\) | 0.462391 | + | 2.91942i | 0.0347554 | + | 0.219437i | ||||
\(178\) | 16.9744 | − | 16.9744i | 1.27228 | − | 1.27228i | ||||
\(179\) | −6.27954 | − | 3.19959i | −0.469355 | − | 0.239148i | 0.203283 | − | 0.979120i | \(-0.434839\pi\) |
−0.672638 | + | 0.739972i | \(0.734839\pi\) | |||||||
\(180\) | −2.63358 | + | 1.91341i | −0.196296 | + | 0.142617i | ||||
\(181\) | 3.13294 | + | 6.14873i | 0.232869 | + | 0.457032i | 0.977639 | − | 0.210290i | \(-0.0674408\pi\) |
−0.744770 | + | 0.667321i | \(0.767441\pi\) | |||||||
\(182\) | 0.457144 | + | 0.332135i | 0.0338858 | + | 0.0246195i | ||||
\(183\) | 1.31878 | − | 8.32645i | 0.0974871 | − | 0.615509i | ||||
\(184\) | 6.24219 | + | 8.59164i | 0.460181 | + | 0.633384i | ||||
\(185\) | 1.58285 | + | 2.17861i | 0.116373 | + | 0.160174i | ||||
\(186\) | −0.478294 | + | 3.01983i | −0.0350702 | + | 0.221425i | ||||
\(187\) | −10.8832 | − | 7.90714i | −0.795861 | − | 0.578227i | ||||
\(188\) | −8.35284 | − | 16.3934i | −0.609194 | − | 1.19561i | ||||
\(189\) | 3.83963 | − | 2.78965i | 0.279292 | − | 0.202917i | ||||
\(190\) | −0.0522822 | − | 0.0266391i | −0.00379295 | − | 0.00193261i | ||||
\(191\) | −6.25125 | + | 6.25125i | −0.452325 | + | 0.452325i | −0.896126 | − | 0.443801i | \(-0.853630\pi\) |
0.443801 | + | 0.896126i | \(0.353630\pi\) | |||||||
\(192\) | −1.46315 | − | 9.23799i | −0.105594 | − | 0.666694i | ||||
\(193\) | −1.58485 | + | 3.11044i | −0.114080 | + | 0.223894i | −0.940986 | − | 0.338446i | \(-0.890099\pi\) |
0.826906 | + | 0.562340i | \(0.190099\pi\) | |||||||
\(194\) | −4.93603 | + | 2.51503i | −0.354386 | + | 0.180569i | ||||
\(195\) | −0.0266705 | + | 0.0820834i | −0.00190991 | + | 0.00587811i | ||||
\(196\) | − | 3.79285i | − | 0.270918i | ||||||
\(197\) | 12.5543 | + | 4.07914i | 0.894457 | + | 0.290627i | 0.719947 | − | 0.694029i | \(-0.244166\pi\) |
0.174510 | + | 0.984655i | \(0.444166\pi\) | |||||||
\(198\) | 13.9165 | + | 2.20416i | 0.989005 | + | 0.156643i | ||||
\(199\) | 19.3072 | − | 3.05796i | 1.36865 | − | 0.216773i | 0.571523 | − | 0.820586i | \(-0.306353\pi\) |
0.797126 | + | 0.603813i | \(0.206353\pi\) | |||||||
\(200\) | 19.8662 | − | 6.45492i | 1.40475 | − | 0.456432i | ||||
\(201\) | −2.78330 | − | 8.56612i | −0.196319 | − | 0.604207i | ||||
\(202\) | 21.0322 | + | 21.0322i | 1.47982 | + | 1.47982i | ||||
\(203\) | −3.49504 | + | 4.81051i | −0.245304 | + | 0.337631i | ||||
\(204\) | 17.2739 | 1.20942 | ||||||||
\(205\) | 0.826687 | + | 2.41736i | 0.0577383 | + | 0.168836i | ||||
\(206\) | 0.407408 | 0.0283855 | ||||||||
\(207\) | −3.11174 | + | 4.28294i | −0.216281 | + | 0.297685i | ||||
\(208\) | −0.464833 | − | 0.464833i | −0.0322304 | − | 0.0322304i | ||||
\(209\) | 0.0513867 | + | 0.158152i | 0.00355449 | + | 0.0109396i | ||||
\(210\) | 0.841496 | − | 0.273419i | 0.0580688 | − | 0.0188677i | ||||
\(211\) | 25.9423 | − | 4.10886i | 1.78594 | − | 0.282865i | 0.826124 | − | 0.563488i | \(-0.190541\pi\) |
0.959818 | + | 0.280623i | \(0.0905410\pi\) | |||||||
\(212\) | −5.70265 | − | 0.903212i | −0.391660 | − | 0.0620328i | ||||
\(213\) | 2.06281 | + | 0.670247i | 0.141341 | + | 0.0459246i | ||||
\(214\) | − | 28.5763i | − | 1.95344i | ||||||
\(215\) | 0.372453 | − | 1.14629i | 0.0254011 | − | 0.0781765i | ||||
\(216\) | −18.2475 | + | 9.29757i | −1.24159 | + | 0.632619i | ||||
\(217\) | −0.625936 | + | 1.22847i | −0.0424913 | + | 0.0833939i | ||||
\(218\) | −2.62528 | − | 16.5754i | −0.177807 | − | 1.12263i | ||||
\(219\) | 8.61611 | − | 8.61611i | 0.582223 | − | 0.582223i | ||||
\(220\) | 3.66963 | + | 1.86977i | 0.247406 | + | 0.126060i | ||||
\(221\) | −0.938857 | + | 0.682119i | −0.0631543 | + | 0.0458843i | ||||
\(222\) | 6.79486 | + | 13.3357i | 0.456041 | + | 0.895031i | ||||
\(223\) | 12.3360 | + | 8.96263i | 0.826079 | + | 0.600182i | 0.918447 | − | 0.395543i | \(-0.129444\pi\) |
−0.0923680 | + | 0.995725i | \(0.529444\pi\) | |||||||
\(224\) | 0.295816 | − | 1.86771i | 0.0197651 | − | 0.124792i | ||||
\(225\) | 6.12059 | + | 8.42427i | 0.408039 | + | 0.561618i | ||||
\(226\) | −2.60533 | − | 3.58592i | −0.173304 | − | 0.238532i | ||||
\(227\) | 1.06484 | − | 6.72316i | 0.0706762 | − | 0.446232i | −0.926820 | − | 0.375507i | \(-0.877469\pi\) |
0.997496 | − | 0.0707251i | \(-0.0225313\pi\) | |||||||
\(228\) | −0.172750 | − | 0.125510i | −0.0114406 | − | 0.00831210i | ||||
\(229\) | −9.16097 | − | 17.9794i | −0.605374 | − | 1.18811i | −0.966757 | − | 0.255696i | \(-0.917695\pi\) |
0.361383 | − | 0.932417i | \(-0.382305\pi\) | |||||||
\(230\) | −1.91204 | + | 1.38918i | −0.126077 | + | 0.0915999i | ||||
\(231\) | −2.23420 | − | 1.13838i | −0.147000 | − | 0.0749000i | ||||
\(232\) | 18.1430 | − | 18.1430i | 1.19115 | − | 1.19115i | ||||
\(233\) | 1.85570 | + | 11.7164i | 0.121571 | + | 0.767568i | 0.970861 | + | 0.239642i | \(0.0770301\pi\) |
−0.849291 | + | 0.527926i | \(0.822970\pi\) | |||||||
\(234\) | 0.551822 | − | 1.08301i | 0.0360738 | − | 0.0707987i | ||||
\(235\) | 1.72452 | − | 0.878689i | 0.112496 | − | 0.0573193i | ||||
\(236\) | 3.76004 | − | 11.5722i | 0.244758 | − | 0.753286i | ||||
\(237\) | − | 2.49307i | − | 0.161942i | ||||||
\(238\) | 11.3148 | + | 3.67639i | 0.733426 | + | 0.238305i | ||||
\(239\) | −6.84256 | − | 1.08376i | −0.442609 | − | 0.0701023i | −0.0688472 | − | 0.997627i | \(-0.521932\pi\) |
−0.373761 | + | 0.927525i | \(0.621932\pi\) | |||||||
\(240\) | −1.01668 | + | 0.161026i | −0.0656261 | + | 0.0103942i | ||||
\(241\) | 16.7010 | − | 5.42649i | 1.07581 | − | 0.349551i | 0.283061 | − | 0.959102i | \(-0.408650\pi\) |
0.792747 | + | 0.609551i | \(0.208650\pi\) | |||||||
\(242\) | 2.67263 | + | 8.22552i | 0.171803 | + | 0.528757i | ||||
\(243\) | −11.4233 | − | 11.4233i | −0.732803 | − | 0.732803i | ||||
\(244\) | −20.3982 | + | 28.0757i | −1.30586 | + | 1.79736i | ||||
\(245\) | 0.398994 | 0.0254908 | ||||||||
\(246\) | 2.43632 | + | 13.9889i | 0.155334 | + | 0.891898i | ||||
\(247\) | 0.0143453 | 0.000912770 | ||||||||
\(248\) | 3.49698 | − | 4.81318i | 0.222059 | − | 0.305637i | ||||
\(249\) | −5.17228 | − | 5.17228i | −0.327780 | − | 0.327780i | ||||
\(250\) | 2.92029 | + | 8.98773i | 0.184695 | + | 0.568434i | ||||
\(251\) | 26.5144 | − | 8.61506i | 1.67358 | − | 0.543778i | 0.689928 | − | 0.723878i | \(-0.257642\pi\) |
0.983648 | + | 0.180100i | \(0.0576420\pi\) | |||||||
\(252\) | −8.05829 | + | 1.27631i | −0.507625 | + | 0.0803998i | ||||
\(253\) | 6.61539 | + | 1.04778i | 0.415906 | + | 0.0658731i | ||||
\(254\) | −31.4329 | − | 10.2132i | −1.97228 | − | 0.640832i | ||||
\(255\) | 1.81715i | 0.113795i | ||||||||
\(256\) | −9.08511 | + | 27.9611i | −0.567820 | + | 1.74757i | ||||
\(257\) | −4.35070 | + | 2.21679i | −0.271389 | + | 0.138280i | −0.584390 | − | 0.811473i | \(-0.698666\pi\) |
0.313000 | + | 0.949753i | \(0.398666\pi\) | |||||||
\(258\) | 3.04122 | − | 5.96874i | 0.189338 | − | 0.371597i | ||||
\(259\) | 1.05581 | + | 6.66614i | 0.0656050 | + | 0.414214i | ||||
\(260\) | 0.251227 | − | 0.251227i | 0.0155805 | − | 0.0155805i | ||||
\(261\) | 11.3965 | + | 5.80680i | 0.705425 | + | 0.359432i | ||||
\(262\) | −39.4639 | + | 28.6722i | −2.43809 | + | 1.77137i | ||||
\(263\) | −7.74417 | − | 15.1988i | −0.477526 | − | 0.937198i | −0.996594 | − | 0.0824649i | \(-0.973721\pi\) |
0.519068 | − | 0.854733i | \(-0.326279\pi\) | |||||||
\(264\) | 8.75366 | + | 6.35991i | 0.538751 | + | 0.391425i | ||||
\(265\) | 0.0950145 | − | 0.599898i | 0.00583670 | − | 0.0368515i | ||||
\(266\) | −0.0864421 | − | 0.118977i | −0.00530011 | − | 0.00729497i | ||||
\(267\) | 5.40149 | + | 7.43451i | 0.330566 | + | 0.454985i | ||||
\(268\) | −5.80021 | + | 36.6211i | −0.354304 | + | 2.23699i | ||||
\(269\) | 10.4540 | + | 7.59525i | 0.637390 | + | 0.463091i | 0.858952 | − | 0.512055i | \(-0.171116\pi\) |
−0.221563 | + | 0.975146i | \(0.571116\pi\) | |||||||
\(270\) | −2.06915 | − | 4.06093i | −0.125924 | − | 0.247140i | ||||
\(271\) | −14.9020 | + | 10.8270i | −0.905233 | + | 0.657691i | −0.939805 | − | 0.341712i | \(-0.888993\pi\) |
0.0345714 | + | 0.999402i | \(0.488993\pi\) | |||||||
\(272\) | −12.3321 | − | 6.28351i | −0.747742 | − | 0.380994i | ||||
\(273\) | −0.152956 | + | 0.152956i | −0.00925733 | + | 0.00925733i | ||||
\(274\) | 0.141313 | + | 0.892216i | 0.00853704 | + | 0.0539008i | ||||
\(275\) | 5.98098 | − | 11.7383i | 0.360667 | − | 0.707848i | ||||
\(276\) | −7.66315 | + | 3.90457i | −0.461267 | + | 0.235028i | ||||
\(277\) | −2.13398 | + | 6.56770i | −0.128218 | + | 0.394615i | −0.994474 | − | 0.104986i | \(-0.966520\pi\) |
0.866255 | + | 0.499601i | \(0.166520\pi\) | |||||||
\(278\) | 15.5414i | 0.932111i | ||||||||
\(279\) | 2.82063 | + | 0.916480i | 0.168867 | + | 0.0548682i | ||||
\(280\) | −1.70050 | − | 0.269333i | −0.101625 | − | 0.0160958i | ||||
\(281\) | 30.3746 | − | 4.81086i | 1.81200 | − | 0.286992i | 0.843703 | − | 0.536811i | \(-0.180371\pi\) |
0.968293 | + | 0.249819i | \(0.0803711\pi\) | |||||||
\(282\) | 10.2307 | − | 3.32417i | 0.609232 | − | 0.197951i | ||||
\(283\) | −1.69277 | − | 5.20979i | −0.100624 | − | 0.309690i | 0.888054 | − | 0.459739i | \(-0.152057\pi\) |
−0.988679 | + | 0.150049i | \(0.952057\pi\) | |||||||
\(284\) | −6.31351 | − | 6.31351i | −0.374638 | − | 0.374638i | ||||
\(285\) | 0.0132032 | − | 0.0181726i | 0.000782089 | − | 0.00107645i | ||||
\(286\) | −1.53781 | −0.0909328 | ||||||||
\(287\) | −0.904464 | + | 6.33892i | −0.0533888 | + | 0.374175i | ||||
\(288\) | −4.06768 | −0.239690 | ||||||||
\(289\) | −4.36927 | + | 6.01378i | −0.257016 | + | 0.353752i | ||||
\(290\) | 4.03767 | + | 4.03767i | 0.237100 | + | 0.237100i | ||||
\(291\) | −0.655339 | − | 2.01693i | −0.0384167 | − | 0.118234i | ||||
\(292\) | −47.7052 | + | 15.5004i | −2.79174 | + | 0.907090i | ||||
\(293\) | −29.0904 | + | 4.60747i | −1.69948 | + | 0.269171i | −0.929480 | − | 0.368873i | \(-0.879744\pi\) |
−0.770000 | + | 0.638044i | \(0.779744\pi\) | |||||||
\(294\) | 2.19028 | + | 0.346906i | 0.127740 | + | 0.0202320i | ||||
\(295\) | 1.21735 | + | 0.395542i | 0.0708771 | + | 0.0230294i | ||||
\(296\) | − | 29.1236i | − | 1.69278i | ||||||
\(297\) | −3.99137 | + | 12.2842i | −0.231603 | + | 0.712800i | ||||
\(298\) | −41.3384 | + | 21.0630i | −2.39467 | + | 1.22014i | ||||
\(299\) | 0.262315 | − | 0.514823i | 0.0151701 | − | 0.0297730i | ||||
\(300\) | 2.64636 | + | 16.7085i | 0.152788 | + | 0.964663i | ||||
\(301\) | 2.13603 | − | 2.13603i | 0.123119 | − | 0.123119i | ||||
\(302\) | −48.0992 | − | 24.5078i | −2.76780 | − | 1.41026i | ||||
\(303\) | −9.21181 | + | 6.69277i | −0.529205 | + | 0.384490i | ||||
\(304\) | 0.0776730 | + | 0.152442i | 0.00445485 | + | 0.00874314i | ||||
\(305\) | −2.95346 | − | 2.14582i | −0.169115 | − | 0.122869i | ||||
\(306\) | 4.00339 | − | 25.2764i | 0.228859 | − | 1.44496i | ||||
\(307\) | 12.8408 | + | 17.6738i | 0.732862 | + | 1.00870i | 0.998998 | + | 0.0447624i | \(0.0142531\pi\) |
−0.266136 | + | 0.963936i | \(0.585747\pi\) | |||||||
\(308\) | 6.06726 | + | 8.35087i | 0.345714 | + | 0.475835i | ||||
\(309\) | −0.0243977 | + | 0.154041i | −0.00138794 | + | 0.00876309i | ||||
\(310\) | 1.07116 | + | 0.778243i | 0.0608378 | + | 0.0442012i | ||||
\(311\) | 11.3414 | + | 22.2587i | 0.643109 | + | 1.26217i | 0.950540 | + | 0.310602i | \(0.100531\pi\) |
−0.307431 | + | 0.951570i | \(0.599469\pi\) | |||||||
\(312\) | 0.755146 | − | 0.548646i | 0.0427517 | − | 0.0310610i | ||||
\(313\) | 15.2972 | + | 7.79433i | 0.864651 | + | 0.440562i | 0.829294 | − | 0.558813i | \(-0.188743\pi\) |
0.0353574 | + | 0.999375i | \(0.488743\pi\) | |||||||
\(314\) | 17.8585 | − | 17.8585i | 1.00781 | − | 1.00781i | ||||
\(315\) | −0.134263 | − | 0.847703i | −0.00756486 | − | 0.0477626i | ||||
\(316\) | −4.65923 | + | 9.14426i | −0.262102 | + | 0.514405i | ||||
\(317\) | 0.243706 | − | 0.124174i | 0.0136879 | − | 0.00697433i | −0.447133 | − | 0.894467i | \(-0.647555\pi\) |
0.460821 | + | 0.887493i | \(0.347555\pi\) | |||||||
\(318\) | 1.04316 | − | 3.21053i | 0.0584977 | − | 0.180037i | ||||
\(319\) | − | 16.1823i | − | 0.906037i | ||||||
\(320\) | −3.85210 | − | 1.25162i | −0.215339 | − | 0.0699679i | ||||
\(321\) | 10.8047 | + | 1.71130i | 0.603059 | + | 0.0955152i | ||||
\(322\) | −5.85051 | + | 0.926630i | −0.326036 | + | 0.0516391i | ||||
\(323\) | 0.287249 | − | 0.0933330i | 0.0159830 | − | 0.00519319i | ||||
\(324\) | 2.43834 | + | 7.50445i | 0.135464 | + | 0.416914i | ||||
\(325\) | −0.803622 | − | 0.803622i | −0.0445769 | − | 0.0445769i | ||||
\(326\) | −20.4054 | + | 28.0856i | −1.13015 | + | 1.55552i | ||||
\(327\) | 6.42437 | 0.355268 | ||||||||
\(328\) | 8.13377 | − | 26.4058i | 0.449112 | − | 1.45802i | ||||
\(329\) | 4.85089 | 0.267438 | ||||||||
\(330\) | −1.41538 | + | 1.94810i | −0.0779140 | + | 0.107239i | ||||
\(331\) | −15.1159 | − | 15.1159i | −0.830844 | − | 0.830844i | 0.156789 | − | 0.987632i | \(-0.449886\pi\) |
−0.987632 | + | 0.156789i | \(0.949886\pi\) | |||||||
\(332\) | 9.30492 | + | 28.6376i | 0.510674 | + | 1.57169i | ||||
\(333\) | 13.8076 | − | 4.48635i | 0.756651 | − | 0.245851i | ||||
\(334\) | 13.8078 | − | 2.18695i | 0.755532 | − | 0.119664i | ||||
\(335\) | −3.85240 | − | 0.610160i | −0.210479 | − | 0.0333366i | ||||
\(336\) | −2.45359 | − | 0.797220i | −0.133854 | − | 0.0434919i | ||||
\(337\) | − | 8.27927i | − | 0.451000i | −0.974243 | − | 0.225500i | \(-0.927598\pi\) | ||
0.974243 | − | 0.225500i | \(-0.0724016\pi\) | |||||||
\(338\) | 9.62779 | − | 29.6313i | 0.523683 | − | 1.61173i | ||||
\(339\) | 1.51186 | − | 0.770330i | 0.0821128 | − | 0.0418386i | ||||
\(340\) | 3.39603 | − | 6.66509i | 0.184176 | − | 0.361465i | ||||
\(341\) | −0.586981 | − | 3.70605i | −0.0317868 | − | 0.200694i | ||||
\(342\) | −0.223691 | + | 0.223691i | −0.0120958 | + | 0.0120958i | ||||
\(343\) | 0.891007 | + | 0.453990i | 0.0481098 | + | 0.0245132i | ||||
\(344\) | −10.5456 | + | 7.66183i | −0.568581 | + | 0.413098i | ||||
\(345\) | −0.410746 | − | 0.806135i | −0.0221138 | − | 0.0434009i | ||||
\(346\) | 49.6853 | + | 36.0985i | 2.67110 | + | 1.94067i | ||||
\(347\) | 0.628841 | − | 3.97035i | 0.0337580 | − | 0.213139i | −0.965043 | − | 0.262091i | \(-0.915588\pi\) |
0.998801 | + | 0.0489515i | \(0.0155880\pi\) | |||||||
\(348\) | 12.2138 | + | 16.8109i | 0.654729 | + | 0.901157i | ||||
\(349\) | −2.07701 | − | 2.85875i | −0.111180 | − | 0.153026i | 0.749801 | − | 0.661663i | \(-0.230149\pi\) |
−0.860981 | + | 0.508638i | \(0.830149\pi\) | |||||||
\(350\) | −1.82262 | + | 11.5076i | −0.0974231 | + | 0.615106i | ||||
\(351\) | 0.901443 | + | 0.654937i | 0.0481155 | + | 0.0349579i | ||||
\(352\) | 2.33639 | + | 4.58541i | 0.124530 | + | 0.244403i | ||||
\(353\) | 16.0466 | − | 11.6585i | 0.854073 | − | 0.620521i | −0.0721928 | − | 0.997391i | \(-0.523000\pi\) |
0.926266 | + | 0.376870i | \(0.123000\pi\) | |||||||
\(354\) | 6.33875 | + | 3.22976i | 0.336901 | + | 0.171660i | ||||
\(355\) | 0.664158 | − | 0.664158i | 0.0352498 | − | 0.0352498i | ||||
\(356\) | −5.91780 | − | 37.3635i | −0.313643 | − | 1.98026i | ||||
\(357\) | −2.06763 | + | 4.05795i | −0.109430 | + | 0.214769i | ||||
\(358\) | −15.1138 | + | 7.70088i | −0.798790 | + | 0.407004i | ||||
\(359\) | −6.70749 | + | 20.6435i | −0.354008 | + | 1.08952i | 0.602575 | + | 0.798063i | \(0.294142\pi\) |
−0.956583 | + | 0.291462i | \(0.905858\pi\) | |||||||
\(360\) | 3.70352i | 0.195193i | ||||||||
\(361\) | 18.0665 | + | 5.87017i | 0.950870 | + | 0.308956i | ||||
\(362\) | 16.4048 | + | 2.59826i | 0.862217 | + | 0.136562i | ||||
\(363\) | −3.27012 | + | 0.517936i | −0.171637 | + | 0.0271846i | ||||
\(364\) | 0.846880 | − | 0.275168i | 0.0443886 | − | 0.0144227i | ||||
\(365\) | −1.63058 | − | 5.01841i | −0.0853485 | − | 0.262676i | ||||
\(366\) | −14.3473 | − | 14.3473i | −0.749948 | − | 0.749948i | ||||
\(367\) | 4.32503 | − | 5.95289i | 0.225765 | − | 0.310738i | −0.681076 | − | 0.732213i | \(-0.738487\pi\) |
0.906840 | + | 0.421475i | \(0.138487\pi\) | |||||||
\(368\) | 6.89113 | 0.359225 | ||||||||
\(369\) | 13.7720 | − | 0.211446i | 0.716943 | − | 0.0110074i | ||||
\(370\) | 6.48138 | 0.336951 | ||||||||
\(371\) | 0.894766 | − | 1.23154i | 0.0464540 | − | 0.0639384i | ||||
\(372\) | 3.40696 | + | 3.40696i | 0.176643 | + | 0.176643i | ||||
\(373\) | 3.41714 | + | 10.5169i | 0.176933 | + | 0.544544i | 0.999716 | − | 0.0238111i | \(-0.00758003\pi\) |
−0.822783 | + | 0.568355i | \(0.807580\pi\) | |||||||
\(374\) | −30.7931 | + | 10.0053i | −1.59227 | + | 0.517361i | ||||
\(375\) | −3.57314 | + | 0.565930i | −0.184516 | + | 0.0292245i | ||||
\(376\) | −20.6744 | − | 3.27450i | −1.06620 | − | 0.168869i | ||||
\(377\) | −1.32767 | − | 0.431385i | −0.0683783 | − | 0.0222175i | ||||
\(378\) | − | 11.4229i | − | 0.587532i | ||||||
\(379\) | 6.58309 | − | 20.2607i | 0.338151 | − | 1.04072i | −0.626998 | − | 0.779021i | \(-0.715717\pi\) |
0.965149 | − | 0.261701i | \(-0.0842833\pi\) | |||||||
\(380\) | −0.0823899 | + | 0.0419798i | −0.00422651 | + | 0.00215352i | ||||
\(381\) | 5.74397 | − | 11.2732i | 0.294272 | − | 0.577542i | ||||
\(382\) | 3.32859 | + | 21.0159i | 0.170306 | + | 1.07527i | ||||
\(383\) | −9.12003 | + | 9.12003i | −0.466012 | + | 0.466012i | −0.900620 | − | 0.434608i | \(-0.856887\pi\) |
0.434608 | + | 0.900620i | \(0.356887\pi\) | |||||||
\(384\) | −16.9531 | − | 8.63802i | −0.865132 | − | 0.440807i | ||||
\(385\) | −0.878481 | + | 0.638254i | −0.0447715 | + | 0.0325284i | ||||
\(386\) | 3.81446 | + | 7.48630i | 0.194151 | + | 0.381043i | ||||
\(387\) | −5.25699 | − | 3.81943i | −0.267228 | − | 0.194152i | ||||
\(388\) | −1.36568 | + | 8.62257i | −0.0693320 | + | 0.437745i | ||||
\(389\) | 13.1372 | + | 18.0818i | 0.666084 | + | 0.916786i | 0.999664 | − | 0.0259359i | \(-0.00825656\pi\) |
−0.333580 | + | 0.942722i | \(0.608257\pi\) | |||||||
\(390\) | 0.122100 | + | 0.168056i | 0.00618275 | + | 0.00850982i | ||||
\(391\) | 1.90306 | − | 12.0154i | 0.0962418 | − | 0.607647i | ||||
\(392\) | −3.49099 | − | 2.53635i | −0.176322 | − | 0.128105i | ||||
\(393\) | −8.47765 | − | 16.6383i | −0.427641 | − | 0.839292i | ||||
\(394\) | 25.7034 | − | 18.6746i | 1.29492 | − | 0.940813i | ||||
\(395\) | −0.961942 | − | 0.490134i | −0.0484006 | − | 0.0246613i | ||||
\(396\) | 15.7006 | − | 15.7006i | 0.788985 | − | 0.788985i | ||||
\(397\) | 5.84217 | + | 36.8860i | 0.293210 | + | 1.85126i | 0.491192 | + | 0.871051i | \(0.336561\pi\) |
−0.197982 | + | 0.980206i | \(0.563439\pi\) | |||||||
\(398\) | 21.3595 | − | 41.9205i | 1.07066 | − | 2.10128i | ||||
\(399\) | 0.0501619 | − | 0.0255588i | 0.00251124 | − | 0.00127954i | ||||
\(400\) | 4.18854 | − | 12.8910i | 0.209427 | − | 0.644550i | ||||
\(401\) | − | 32.1485i | − | 1.60542i | −0.596369 | − | 0.802710i | \(-0.703391\pi\) | ||
0.596369 | − | 0.802710i | \(-0.296609\pi\) | |||||||
\(402\) | −20.6172 | − | 6.69894i | −1.02829 | − | 0.334113i | ||||
\(403\) | −0.319707 | − | 0.0506367i | −0.0159258 | − | 0.00252239i | ||||
\(404\) | 46.2957 | − | 7.33251i | 2.30330 | − | 0.364806i | ||||
\(405\) | −0.789441 | + | 0.256505i | −0.0392276 | + | 0.0127458i | ||||
\(406\) | 4.42244 | + | 13.6109i | 0.219482 | + | 0.675496i | ||||
\(407\) | −12.9882 | − | 12.9882i | −0.643799 | − | 0.643799i | ||||
\(408\) | 11.5514 | − | 15.8992i | 0.571880 | − | 0.787126i | ||||
\(409\) | −28.9572 | −1.43184 | −0.715921 | − | 0.698182i | \(-0.753993\pi\) | ||||
−0.715921 | + | 0.698182i | \(0.753993\pi\) | |||||||
\(410\) | 5.87653 | + | 1.81015i | 0.290221 | + | 0.0893968i | ||||
\(411\) | −0.345809 | −0.0170575 | ||||||||
\(412\) | 0.377371 | − | 0.519407i | 0.0185917 | − | 0.0255893i | ||||
\(413\) | 2.26845 | + | 2.26845i | 0.111623 | + | 0.111623i | ||||
\(414\) | 3.93743 | + | 12.1182i | 0.193514 | + | 0.595576i | ||||
\(415\) | −3.01257 | + | 0.978843i | −0.147881 | + | 0.0480495i | ||||
\(416\) | 0.438489 | − | 0.0694499i | 0.0214987 | − | 0.00340506i | ||||
\(417\) | −5.87620 | − | 0.930699i | −0.287759 | − | 0.0455765i | ||||
\(418\) | 0.380646 | + | 0.123679i | 0.0186180 | + | 0.00604935i | ||||
\(419\) | 21.8482i | 1.06735i | 0.845689 | + | 0.533676i | \(0.179190\pi\) | ||||
−0.845689 | + | 0.533676i | \(0.820810\pi\) | |||||||
\(420\) | 0.430872 | − | 1.32609i | 0.0210244 | − | 0.0647064i | ||||
\(421\) | −10.8892 | + | 5.54832i | −0.530707 | + | 0.270409i | −0.698744 | − | 0.715372i | \(-0.746257\pi\) |
0.168037 | + | 0.985781i | \(0.446257\pi\) | |||||||
\(422\) | 28.7000 | − | 56.3269i | 1.39709 | − | 2.74195i | ||||
\(423\) | −1.63234 | − | 10.3062i | −0.0793671 | − | 0.501104i | ||||
\(424\) | −4.64480 | + | 4.64480i | −0.225571 | + | 0.225571i | ||||
\(425\) | −21.3202 | − | 10.8632i | −1.03418 | − | 0.526941i | ||||
\(426\) | 4.22334 | − | 3.06844i | 0.204622 | − | 0.148666i | ||||
\(427\) | −4.15388 | − | 8.15245i | −0.201020 | − | 0.394525i | ||||
\(428\) | −36.4320 | − | 26.4694i | −1.76101 | − | 1.27945i | ||||
\(429\) | 0.0920922 | − | 0.581447i | 0.00444625 | − | 0.0280725i | ||||
\(430\) | −1.70512 | − | 2.34689i | −0.0822280 | − | 0.113177i | ||||
\(431\) | 8.06608 | + | 11.1020i | 0.388529 | + | 0.534765i | 0.957819 | − | 0.287372i | \(-0.0927817\pi\) |
−0.569290 | + | 0.822137i | \(0.692782\pi\) | |||||||
\(432\) | −2.07887 | + | 13.1255i | −0.100020 | + | 0.631499i | ||||
\(433\) | −20.5662 | − | 14.9422i | −0.988348 | − | 0.718077i | −0.0287896 | − | 0.999585i | \(-0.509165\pi\) |
−0.959559 | + | 0.281508i | \(0.909165\pi\) | |||||||
\(434\) | 1.50653 | + | 2.95672i | 0.0723155 | + | 0.141927i | ||||
\(435\) | −1.76844 | + | 1.28485i | −0.0847902 | + | 0.0616037i | ||||
\(436\) | −23.5637 | − | 12.0063i | −1.12850 | − | 0.574999i | ||||
\(437\) | −0.106334 | + | 0.106334i | −0.00508665 | + | 0.00508665i | ||||
\(438\) | −4.58781 | − | 28.9663i | −0.219214 | − | 1.38406i | ||||
\(439\) | 5.59668 | − | 10.9841i | 0.267115 | − | 0.524242i | −0.718021 | − | 0.696022i | \(-0.754952\pi\) |
0.985135 | + | 0.171780i | \(0.0549517\pi\) | |||||||
\(440\) | 4.17491 | − | 2.12722i | 0.199031 | − | 0.101411i | ||||
\(441\) | 0.664721 | − | 2.04580i | 0.0316534 | − | 0.0974191i | ||||
\(442\) | 2.79311i | 0.132855i | ||||||||
\(443\) | −26.5404 | − | 8.62351i | −1.26097 | − | 0.409715i | −0.399132 | − | 0.916893i | \(-0.630689\pi\) |
−0.861841 | + | 0.507178i | \(0.830689\pi\) | |||||||
\(444\) | 23.2956 | + | 3.68966i | 1.10556 | + | 0.175103i | ||||
\(445\) | 3.93051 | − | 0.622531i | 0.186324 | − | 0.0295108i | ||||
\(446\) | 34.9035 | − | 11.3408i | 1.65273 | − | 0.537004i | ||||
\(447\) | −5.48835 | − | 16.8914i | −0.259590 | − | 0.798935i | ||||
\(448\) | −7.17810 | − | 7.17810i | −0.339133 | − | 0.339133i | ||||
\(449\) | −13.2414 | + | 18.2253i | −0.624902 | + | 0.860104i | −0.997698 | − | 0.0678089i | \(-0.978399\pi\) |
0.372796 | + | 0.927913i | \(0.378399\pi\) | |||||||
\(450\) | 25.0623 | 1.18145 | ||||||||
\(451\) | −8.14871 | − | 15.4035i | −0.383708 | − | 0.725322i | ||||
\(452\) | −6.98495 | −0.328544 | ||||||||
\(453\) | 12.1468 | − | 16.7187i | 0.570708 | − | 0.785512i | ||||
\(454\) | −11.5847 | − | 11.5847i | −0.543697 | − | 0.543697i | ||||
\(455\) | 0.0289467 | + | 0.0890886i | 0.00135704 | + | 0.00417654i | ||||
\(456\) | −0.231042 | + | 0.0750701i | −0.0108195 | + | 0.00351548i | ||||
\(457\) | 24.2981 | − | 3.84843i | 1.13662 | − | 0.180022i | 0.440363 | − | 0.897820i | \(-0.354850\pi\) |
0.696252 | + | 0.717798i | \(0.254850\pi\) | |||||||
\(458\) | −47.9690 | − | 7.59755i | −2.24145 | − | 0.355010i | ||||
\(459\) | 22.3116 | + | 7.24947i | 1.04141 | + | 0.338376i | ||||
\(460\) | 3.72443i | 0.173653i | ||||||||
\(461\) | 1.50133 | − | 4.62061i | 0.0699238 | − | 0.215203i | −0.909988 | − | 0.414635i | \(-0.863909\pi\) |
0.979912 | + | 0.199431i | \(0.0639094\pi\) | |||||||
\(462\) | −5.37735 | + | 2.73990i | −0.250177 | + | 0.127472i | ||||
\(463\) | −17.2005 | + | 33.7578i | −0.799373 | + | 1.56886i | 0.0228821 | + | 0.999738i | \(0.492716\pi\) |
−0.822255 | + | 0.569119i | \(0.807284\pi\) | |||||||
\(464\) | −2.60453 | − | 16.4443i | −0.120912 | − | 0.763409i | ||||
\(465\) | −0.358400 | + | 0.358400i | −0.0166204 | + | 0.0166204i | ||||
\(466\) | 25.4391 | + | 12.9619i | 1.17844 | + | 0.600447i | ||||
\(467\) | −22.4908 | + | 16.3405i | −1.04075 | + | 0.756149i | −0.970432 | − | 0.241376i | \(-0.922401\pi\) |
−0.0703178 | + | 0.997525i | \(0.522401\pi\) | |||||||
\(468\) | −0.869599 | − | 1.70668i | −0.0401972 | − | 0.0788915i | ||||
\(469\) | −7.90865 | − | 5.74597i | −0.365188 | − | 0.265324i | ||||
\(470\) | 0.728731 | − | 4.60102i | 0.0336138 | − | 0.212229i | ||||
\(471\) | 5.68284 | + | 7.82175i | 0.261851 | + | 0.360407i | ||||
\(472\) | −8.13680 | − | 11.1993i | −0.374526 | − | 0.515491i | ||||
\(473\) | −1.28607 | + | 8.11990i | −0.0591334 | + | 0.373353i | ||||
\(474\) | −4.85443 | − | 3.52695i | −0.222971 | − | 0.161998i | ||||
\(475\) | 0.134284 | + | 0.263547i | 0.00616138 | + | 0.0120924i | ||||
\(476\) | 15.1676 | − | 11.0199i | 0.695205 | − | 0.505096i | ||||
\(477\) | −2.91762 | − | 1.48660i | −0.133589 | − | 0.0680668i | ||||
\(478\) | −11.7904 | + | 11.7904i | −0.539282 | + | 0.539282i | ||||
\(479\) | 4.44796 | + | 28.0833i | 0.203233 | + | 1.28316i | 0.852551 | + | 0.522644i | \(0.175054\pi\) |
−0.649318 | + | 0.760517i | \(0.724946\pi\) | |||||||
\(480\) | 0.315599 | − | 0.619398i | 0.0144051 | − | 0.0282715i | ||||
\(481\) | −1.41184 | + | 0.719367i | −0.0643742 | + | 0.0328003i | ||||
\(482\) | 13.0607 | − | 40.1966i | 0.594897 | − | 1.83091i | ||||
\(483\) | − | 2.26757i | − | 0.103178i | ||||||
\(484\) | 12.9623 | + | 4.21172i | 0.589197 | + | 0.191442i | ||||
\(485\) | −0.907063 | − | 0.143665i | −0.0411876 | − | 0.00652348i | ||||
\(486\) | −38.4035 | + | 6.08252i | −1.74202 | + | 0.275909i | ||||
\(487\) | 2.84827 | − | 0.925458i | 0.129067 | − | 0.0419365i | −0.243771 | − | 0.969833i | \(-0.578385\pi\) |
0.372838 | + | 0.927896i | \(0.378385\pi\) | |||||||
\(488\) | 12.2006 | + | 37.5495i | 0.552295 | + | 1.69979i | ||||
\(489\) | −9.39718 | − | 9.39718i | −0.424955 | − | 0.424955i | ||||
\(490\) | 0.564458 | − | 0.776910i | 0.0254996 | − | 0.0350972i | ||||
\(491\) | 24.1055 | 1.08786 | 0.543932 | − | 0.839129i | \(-0.316935\pi\) | ||||
0.543932 | + | 0.839129i | \(0.316935\pi\) | |||||||
\(492\) | 20.0912 | + | 9.85142i | 0.905779 | + | 0.444136i | ||||
\(493\) | −29.3918 | −1.32374 | ||||||||
\(494\) | 0.0202943 | − | 0.0279327i | 0.000913085 | − | 0.00125675i | ||||
\(495\) | 1.65165 | + | 1.65165i | 0.0742359 | + | 0.0742359i | ||||
\(496\) | −1.19297 | − | 3.67158i | −0.0535658 | − | 0.164859i | ||||
\(497\) | 2.23885 | − | 0.727448i | 0.100426 | − | 0.0326305i | ||||
\(498\) | −17.3885 | + | 2.75407i | −0.779199 | + | 0.123413i | ||||
\(499\) | −5.59482 | − | 0.886133i | −0.250459 | − | 0.0396688i | 0.0299426 | − | 0.999552i | \(-0.490468\pi\) |
−0.280401 | + | 0.959883i | \(0.590468\pi\) | |||||||
\(500\) | 14.1635 | + | 4.60199i | 0.633410 | + | 0.205807i | ||||
\(501\) | 5.35171i | 0.239097i | ||||||||
\(502\) | 20.7350 | − | 63.8159i | 0.925450 | − | 2.84824i | ||||
\(503\) | −20.4994 | + | 10.4450i | −0.914023 | + | 0.465718i | −0.846734 | − | 0.532016i | \(-0.821435\pi\) |
−0.0672882 | + | 0.997734i | \(0.521435\pi\) | |||||||
\(504\) | −4.21400 | + | 8.27045i | −0.187707 | + | 0.368395i | ||||
\(505\) | 0.771354 | + | 4.87013i | 0.0343248 | + | 0.216718i | ||||
\(506\) | 11.3990 | − | 11.3990i | 0.506748 | − | 0.506748i | ||||
\(507\) | 10.6270 | + | 5.41474i | 0.471963 | + | 0.240477i | ||||
\(508\) | −42.1363 | + | 30.6138i | −1.86950 | + | 1.35827i | ||||
\(509\) | 16.5882 | + | 32.5562i | 0.735259 | + | 1.44303i | 0.890421 | + | 0.455138i | \(0.150410\pi\) |
−0.155162 | + | 0.987889i | \(0.549590\pi\) | |||||||
\(510\) | 3.53831 | + | 2.57073i | 0.156679 | + | 0.113834i | ||||
\(511\) | 2.06884 | − | 13.0621i | 0.0915199 | − | 0.577834i | ||||
\(512\) | 17.3160 | + | 23.8334i | 0.765265 | + | 1.05330i | ||||
\(513\) | −0.170455 | − | 0.234612i | −0.00752578 | − | 0.0103584i | ||||
\(514\) | −1.83847 | + | 11.6077i | −0.0810916 | + | 0.511992i | ||||
\(515\) | 0.0546397 | + | 0.0396980i | 0.00240771 | + | 0.00174930i | ||||
\(516\) | −4.79257 | − | 9.40594i | −0.210981 | − | 0.414074i | ||||
\(517\) | −10.6804 | + | 7.75976i | −0.469723 | + | 0.341274i | ||||
\(518\) | 14.4738 | + | 7.37475i | 0.635941 | + | 0.324028i | ||||
\(519\) | −16.6243 | + | 16.6243i | −0.729724 | + | 0.729724i | ||||
\(520\) | −0.0632324 | − | 0.399234i | −0.00277292 | − | 0.0175076i | ||||
\(521\) | 17.5082 | − | 34.3617i | 0.767048 | − | 1.50542i | −0.0932610 | − | 0.995642i | \(-0.529729\pi\) |
0.860308 | − | 0.509774i | \(-0.170271\pi\) | |||||||
\(522\) | 27.4295 | − | 13.9760i | 1.20056 | − | 0.611713i | ||||
\(523\) | 5.54067 | − | 17.0524i | 0.242277 | − | 0.745650i | −0.753796 | − | 0.657109i | \(-0.771779\pi\) |
0.996072 | − | 0.0885419i | \(-0.0282207\pi\) | |||||||
\(524\) | 76.8709i | 3.35812i | ||||||||
\(525\) | −4.24186 | − | 1.37827i | −0.185130 | − | 0.0601524i | ||||
\(526\) | −40.5503 | − | 6.42254i | −1.76808 | − | 0.280036i | ||||
\(527\) | −6.73125 | + | 1.06613i | −0.293218 | + | 0.0464412i | ||||
\(528\) | 6.67745 | − | 2.16963i | 0.290599 | − | 0.0944212i | ||||
\(529\) | −5.23569 | − | 16.1138i | −0.227639 | − | 0.700599i | ||||
\(530\) | −1.03369 | − | 1.03369i | −0.0449005 | − | 0.0449005i | ||||
\(531\) | 4.05620 | − | 5.58288i | 0.176024 | − | 0.242276i | ||||
\(532\) | −0.231754 | −0.0100478 | ||||||||
\(533\) | −1.48099 | + | 0.257931i | −0.0641489 | + | 0.0111722i | ||||
\(534\) | 22.1178 | 0.957129 | ||||||||
\(535\) | 2.78449 | − | 3.83252i | 0.120384 | − | 0.165694i | ||||
\(536\) | 29.8278 | + | 29.8278i | 1.28836 | + | 1.28836i | ||||
\(537\) | −2.00661 | − | 6.17570i | −0.0865915 | − | 0.266501i | ||||
\(538\) | 29.5785 | − | 9.61064i | 1.27522 | − | 0.414344i | ||||
\(539\) | −2.68799 | + | 0.425736i | −0.115780 | + | 0.0183378i | ||||
\(540\) | −7.09388 | − | 1.12356i | −0.305272 | − | 0.0483504i | ||||
\(541\) | 34.4314 | + | 11.1875i | 1.48032 | + | 0.480986i | 0.934210 | − | 0.356725i | \(-0.116107\pi\) |
0.546114 | + | 0.837711i | \(0.316107\pi\) | |||||||
\(542\) | 44.3337i | 1.90429i | ||||||||
\(543\) | −1.96481 | + | 6.04705i | −0.0843179 | + | 0.259504i | ||||
\(544\) | 8.32842 | − | 4.24354i | 0.357078 | − | 0.181940i | ||||
\(545\) | 1.26302 | − | 2.47882i | 0.0541019 | − | 0.106181i | ||||
\(546\) | 0.0814444 | + | 0.514219i | 0.00348550 | + | 0.0220066i | ||||
\(547\) | −20.3837 | + | 20.3837i | −0.871546 | + | 0.871546i | −0.992641 | − | 0.121095i | \(-0.961359\pi\) |
0.121095 | + | 0.992641i | \(0.461359\pi\) | |||||||
\(548\) | 1.26838 | + | 0.646274i | 0.0541827 | + | 0.0276075i | ||||
\(549\) | −15.9229 | + | 11.5687i | −0.679572 | + | 0.493738i | ||||
\(550\) | −14.3952 | − | 28.2522i | −0.613815 | − | 1.20468i | ||||
\(551\) | 0.293935 | + | 0.213556i | 0.0125221 | + | 0.00909780i | ||||
\(552\) | −1.53068 | + | 9.66432i | −0.0651500 | + | 0.411341i | ||||
\(553\) | −1.59045 | − | 2.18907i | −0.0676328 | − | 0.0930886i | ||||
\(554\) | 9.76950 | + | 13.4466i | 0.415066 | + | 0.571290i | ||||
\(555\) | −0.388138 | + | 2.45061i | −0.0164755 | + | 0.104023i | ||||
\(556\) | 19.8138 | + | 14.3956i | 0.840292 | + | 0.610508i | ||||
\(557\) | 7.26874 | + | 14.2657i | 0.307986 | + | 0.604457i | 0.992176 | − | 0.124847i | \(-0.0398440\pi\) |
−0.684190 | + | 0.729304i | \(0.739844\pi\) | |||||||
\(558\) | 5.77490 | − | 4.19571i | 0.244471 | − | 0.177619i | ||||
\(559\) | 0.631906 | + | 0.321972i | 0.0267268 | + | 0.0136180i | ||||
\(560\) | −0.789977 | + | 0.789977i | −0.0333826 | + | 0.0333826i | ||||
\(561\) | −1.93895 | − | 12.2420i | −0.0818624 | − | 0.516859i | ||||
\(562\) | 33.6034 | − | 65.9504i | 1.41747 | − | 2.78195i | ||||
\(563\) | −12.3733 | + | 6.30451i | −0.521472 | + | 0.265703i | −0.694853 | − | 0.719151i | \(-0.744531\pi\) |
0.173381 | + | 0.984855i | \(0.444531\pi\) | |||||||
\(564\) | 5.23845 | − | 16.1223i | 0.220579 | − | 0.678871i | ||||
\(565\) | − | 0.734791i | − | 0.0309129i | ||||||
\(566\) | −12.5391 | − | 4.07421i | −0.527058 | − | 0.171252i | ||||
\(567\) | −2.05479 | − | 0.325446i | −0.0862929 | − | 0.0136674i | ||||
\(568\) | −10.0330 | + | 1.58907i | −0.420975 | + | 0.0666759i | ||||
\(569\) | −39.8281 | + | 12.9409i | −1.66968 | + | 0.542512i | −0.982866 | − | 0.184320i | \(-0.940992\pi\) |
−0.686815 | + | 0.726832i | \(0.740992\pi\) | |||||||
\(570\) | −0.0167066 | − | 0.0514177i | −0.000699763 | − | 0.00215365i | ||||
\(571\) | −17.7793 | − | 17.7793i | −0.744039 | − | 0.744039i | 0.229313 | − | 0.973353i | \(-0.426352\pi\) |
−0.973353 | + | 0.229313i | \(0.926352\pi\) | |||||||
\(572\) | −1.42443 | + | 1.96056i | −0.0595586 | + | 0.0819753i | ||||
\(573\) | −8.14545 | −0.340281 | ||||||||
\(574\) | 11.0634 | + | 10.7288i | 0.461778 | + | 0.447813i | ||||
\(575\) | 11.9137 | 0.496834 | ||||||||
\(576\) | −12.8351 | + | 17.6660i | −0.534797 | + | 0.736085i | ||||
\(577\) | −29.6417 | − | 29.6417i | −1.23400 | − | 1.23400i | −0.962414 | − | 0.271588i | \(-0.912451\pi\) |
−0.271588 | − | 0.962414i | \(-0.587549\pi\) | |||||||
\(578\) | 5.52865 | + | 17.0154i | 0.229961 | + | 0.707748i | ||||
\(579\) | −3.05900 | + | 0.993929i | −0.127128 | + | 0.0413063i | ||||
\(580\) | 8.88763 | − | 1.40766i | 0.369039 | − | 0.0584500i | ||||
\(581\) | −7.84123 | − | 1.24193i | −0.325309 | − | 0.0515239i | ||||
\(582\) | −4.85441 | − | 1.57729i | −0.201222 | − | 0.0653809i | ||||
\(583\) | 4.14285i | 0.171579i | ||||||||
\(584\) | −17.6347 | + | 54.2739i | −0.729727 | + | 2.24587i | ||||
\(585\) | 0.179537 | − | 0.0914786i | 0.00742294 | − | 0.00378218i | ||||
\(586\) | −32.1827 | + | 63.1621i | −1.32946 | + | 2.60920i | ||||
\(587\) | −1.60702 | − | 10.1463i | −0.0663289 | − | 0.418784i | −0.998402 | − | 0.0565134i | \(-0.982002\pi\) |
0.932073 | − | 0.362271i | \(-0.117998\pi\) | |||||||
\(588\) | 2.47106 | − | 2.47106i | 0.101905 | − | 0.101905i | ||||
\(589\) | 0.0750628 | + | 0.0382464i | 0.00309291 | + | 0.00157592i | ||||
\(590\) | 2.49238 | − | 1.81082i | 0.102610 | − | 0.0745503i | ||||
\(591\) | 5.52161 | + | 10.8368i | 0.227129 | + | 0.445765i | ||||
\(592\) | −15.2889 | − | 11.1080i | −0.628368 | − | 0.456536i | ||||
\(593\) | −2.92231 | + | 18.4507i | −0.120005 | + | 0.757680i | 0.852143 | + | 0.523310i | \(0.175303\pi\) |
−0.972147 | + | 0.234371i | \(0.924697\pi\) | |||||||
\(594\) | 18.2728 | + | 25.1503i | 0.749741 | + | 1.03193i | ||||
\(595\) | 1.15925 | + | 1.59557i | 0.0475247 | + | 0.0654121i | ||||
\(596\) | −11.4373 | + | 72.2125i | −0.468491 | + | 2.95794i | ||||
\(597\) | 14.5710 | + | 10.5865i | 0.596351 | + | 0.433275i | ||||
\(598\) | −0.631350 | − | 1.23909i | −0.0258178 | − | 0.0506703i | ||||
\(599\) | 22.2977 | − | 16.2003i | 0.911061 | − | 0.661925i | −0.0302220 | − | 0.999543i | \(-0.509621\pi\) |
0.941283 | + | 0.337619i | \(0.109621\pi\) | |||||||
\(600\) | 17.1484 | + | 8.73752i | 0.700079 | + | 0.356708i | ||||
\(601\) | −5.12248 | + | 5.12248i | −0.208950 | + | 0.208950i | −0.803821 | − | 0.594871i | \(-0.797203\pi\) |
0.594871 | + | 0.803821i | \(0.297203\pi\) | |||||||
\(602\) | −1.13737 | − | 7.18106i | −0.0463557 | − | 0.292678i | ||||
\(603\) | −9.54660 | + | 18.7362i | −0.388767 | + | 0.762999i | ||||
\(604\) | −75.7981 | + | 38.6210i | −3.08418 | + | 1.57147i | ||||
\(605\) | −0.443057 | + | 1.36359i | −0.0180128 | + | 0.0554378i | ||||
\(606\) | 27.4052i | 1.11326i | ||||||||
\(607\) | −25.6633 | − | 8.33853i | −1.04164 | − | 0.338450i | −0.262259 | − | 0.964997i | \(-0.584468\pi\) |
−0.779384 | + | 0.626547i | \(0.784468\pi\) | |||||||
\(608\) | −0.114122 | − | 0.0180752i | −0.00462826 | − | 0.000733045i | ||||
\(609\) | −5.41111 | + | 0.857035i | −0.219269 | + | 0.0347288i | ||||
\(610\) | −8.35654 | + | 2.71520i | −0.338346 | + | 0.109935i | ||||
\(611\) | 0.351928 | + | 1.08312i | 0.0142375 | + | 0.0438184i | ||||
\(612\) | −28.5168 | − | 28.5168i | −1.15272 | − | 1.15272i | ||||
\(613\) | −10.4017 | + | 14.3166i | −0.420119 | + | 0.578244i | −0.965650 | − | 0.259847i | \(-0.916328\pi\) |
0.545531 | + | 0.838091i | \(0.316328\pi\) | |||||||
\(614\) | 52.5798 | 2.12195 | ||||||||
\(615\) | −1.03633 | + | 2.11352i | −0.0417890 | + | 0.0852252i | ||||
\(616\) | 11.7435 | 0.473161 | ||||||||
\(617\) | 21.0767 | − | 29.0096i | 0.848515 | − | 1.16788i | −0.135673 | − | 0.990754i | \(-0.543320\pi\) |
0.984188 | − | 0.177127i | \(-0.0566804\pi\) | |||||||
\(618\) | 0.265429 | + | 0.265429i | 0.0106771 | + | 0.0106771i | ||||
\(619\) | −0.312770 | − | 0.962607i | −0.0125713 | − | 0.0386904i | 0.944574 | − | 0.328298i | \(-0.106475\pi\) |
−0.957145 | + | 0.289608i | \(0.906475\pi\) | |||||||
\(620\) | 1.98437 | − | 0.644761i | 0.0796942 | − | 0.0258942i | ||||
\(621\) | −11.5366 | + | 1.82722i | −0.462949 | + | 0.0733239i | ||||
\(622\) | 59.3860 | + | 9.40582i | 2.38116 | + | 0.377139i | ||||
\(623\) | 9.48568 | + | 3.08208i | 0.380036 | + | 0.123481i | ||||
\(624\) | − | 0.605683i | − | 0.0242467i | ||||||
\(625\) | 6.99534 | − | 21.5294i | 0.279814 | − | 0.861178i | ||||
\(626\) | 36.8179 | − | 18.7597i | 1.47154 | − | 0.749787i | ||||
\(627\) | −0.0695582 | + | 0.136516i | −0.00277789 | + | 0.00545191i | ||||
\(628\) | −6.22604 | − | 39.3097i | −0.248446 | − | 1.56863i | ||||
\(629\) | −23.5902 | + | 23.5902i | −0.940603 | + | 0.940603i | ||||
\(630\) | −1.84056 | − | 0.937814i | −0.0733298 | − | 0.0373634i | ||||
\(631\) | 5.55516 | − | 4.03606i | 0.221147 | − | 0.160673i | −0.471696 | − | 0.881761i | \(-0.656358\pi\) |
0.692843 | + | 0.721088i | \(0.256358\pi\) | |||||||
\(632\) | 5.30077 | + | 10.4034i | 0.210853 | + | 0.413823i | ||||
\(633\) | 19.5785 | + | 14.2246i | 0.778175 | + | 0.565377i | ||||
\(634\) | 0.102983 | − | 0.650207i | 0.00408996 | − | 0.0258230i | ||||
\(635\) | −3.22046 | − | 4.43258i | −0.127800 | − | 0.175902i | ||||
\(636\) | −3.12686 | − | 4.30376i | −0.123988 | − | 0.170655i | ||||
\(637\) | −0.0367267 | + | 0.231883i | −0.00145516 | + | 0.00918755i | ||||
\(638\) | −31.5098 | − | 22.8932i | −1.24748 | − | 0.906350i | ||||
\(639\) | −2.29892 | − | 4.51188i | −0.0909437 | − | 0.178487i | ||||
\(640\) | −6.66590 | + | 4.84306i | −0.263493 | + | 0.191439i | ||||
\(641\) | 15.4840 | + | 7.88950i | 0.611582 | + | 0.311617i | 0.732208 | − | 0.681082i | \(-0.238490\pi\) |
−0.120626 | + | 0.992698i | \(0.538490\pi\) | |||||||
\(642\) | 18.6176 | − | 18.6176i | 0.734778 | − | 0.734778i | ||||
\(643\) | −6.97616 | − | 44.0458i | −0.275113 | − | 1.73700i | −0.607918 | − | 0.794000i | \(-0.707995\pi\) |
0.332805 | − | 0.942996i | \(-0.392005\pi\) | |||||||
\(644\) | −4.23780 | + | 8.31715i | −0.166993 | + | 0.327742i | ||||
\(645\) | 0.989471 | − | 0.504161i | 0.0389604 | − | 0.0198513i | ||||
\(646\) | 0.224637 | − | 0.691362i | 0.00883823 | − | 0.0272013i | ||||
\(647\) | − | 18.8191i | − | 0.739856i | −0.929060 | − | 0.369928i | \(-0.879382\pi\) | ||
0.929060 | − | 0.369928i | \(-0.120618\pi\) | |||||||
\(648\) | 8.53776 | + | 2.77409i | 0.335395 | + | 0.108976i | ||||
\(649\) | −8.62327 | − | 1.36579i | −0.338493 | − | 0.0536120i | ||||
\(650\) | −2.70167 | + | 0.427903i | −0.105968 | + | 0.0167837i | ||||
\(651\) | −1.20816 | + | 0.392553i | −0.0473513 | + | 0.0153854i | ||||
\(652\) | 16.9055 | + | 52.0298i | 0.662071 | + | 2.03764i | ||||
\(653\) | 1.49227 | + | 1.49227i | 0.0583971 | + | 0.0583971i | 0.735702 | − | 0.677305i | \(-0.236852\pi\) |
−0.677305 | + | 0.735702i | \(0.736852\pi\) | |||||||
\(654\) | 9.08856 | − | 12.5093i | 0.355391 | − | 0.489154i | ||||
\(655\) | −8.08653 | −0.315967 | ||||||||
\(656\) | −10.7598 | − | 14.3413i | −0.420100 | − | 0.559935i | ||||
\(657\) | −28.4479 | −1.10986 | ||||||||
\(658\) | 6.86257 | − | 9.44551i | 0.267531 | − | 0.368224i | ||||
\(659\) | 3.33746 | + | 3.33746i | 0.130009 | + | 0.130009i | 0.769117 | − | 0.639108i | \(-0.220696\pi\) |
−0.639108 | + | 0.769117i | \(0.720696\pi\) | |||||||
\(660\) | 1.17262 | + | 3.60894i | 0.0456441 | + | 0.140478i | ||||
\(661\) | −46.9032 | + | 15.2398i | −1.82432 | + | 0.592758i | −0.824692 | + | 0.565582i | \(0.808652\pi\) |
−0.999631 | + | 0.0271763i | \(0.991348\pi\) | |||||||
\(662\) | −50.8176 | + | 8.04872i | −1.97508 | + | 0.312822i | ||||
\(663\) | −1.05607 | − | 0.167266i | −0.0410145 | − | 0.00649606i | ||||
\(664\) | 32.5808 | + | 10.5861i | 1.26438 | + | 0.410822i | ||||
\(665\) | − | 0.0243796i | − | 0.000945401i | ||||||
\(666\) | 10.7979 | − | 33.2326i | 0.418411 | − | 1.28774i | ||||
\(667\) | 13.0389 | − | 6.64366i | 0.504869 | − | 0.257244i | ||||
\(668\) | 10.0017 | − | 19.6294i | 0.386976 | − | 0.759484i | ||||
\(669\) | 2.19777 | + | 13.8762i | 0.0849706 | + | 0.536483i | ||||
\(670\) | −6.63808 | + | 6.63808i | −0.256452 | + | 0.256452i | ||||
\(671\) | 22.1869 | + | 11.3048i | 0.856515 | + | 0.436416i | ||||
\(672\) | 1.40955 | − | 1.02410i | 0.0543745 | − | 0.0395054i | ||||
\(673\) | −0.765505 | − | 1.50239i | −0.0295081 | − | 0.0579128i | 0.875782 | − | 0.482707i | \(-0.160346\pi\) |
−0.905290 | + | 0.424794i | \(0.860346\pi\) | |||||||
\(674\) | −16.1211 | − | 11.7127i | −0.620963 | − | 0.451156i | ||||
\(675\) | −3.59403 | + | 22.6918i | −0.138334 | + | 0.873407i | ||||
\(676\) | −28.8591 | − | 39.7211i | −1.10997 | − | 1.52774i | ||||
\(677\) | 13.3203 | + | 18.3339i | 0.511942 | + | 0.704628i | 0.984245 | − | 0.176808i | \(-0.0565772\pi\) |
−0.472303 | + | 0.881436i | \(0.656577\pi\) | |||||||
\(678\) | 0.638864 | − | 4.03363i | 0.0245354 | − | 0.154911i | ||||
\(679\) | −1.86212 | − | 1.35291i | −0.0714617 | − | 0.0519200i | ||||
\(680\) | −3.86364 | − | 7.58283i | −0.148164 | − | 0.290788i | ||||
\(681\) | 5.07393 | − | 3.68642i | 0.194433 | − | 0.141264i | ||||
\(682\) | −8.04672 | − | 4.10001i | −0.308125 | − | 0.156997i | ||||
\(683\) | −23.9709 | + | 23.9709i | −0.917222 | + | 0.917222i | −0.996826 | − | 0.0796049i | \(-0.974634\pi\) |
0.0796049 | + | 0.996826i | \(0.474634\pi\) | |||||||
\(684\) | 0.0779859 | + | 0.492383i | 0.00298186 | + | 0.0188267i | ||||
\(685\) | −0.0679857 | + | 0.133429i | −0.00259760 | + | 0.00509808i | ||||
\(686\) | 2.14451 | − | 1.09268i | 0.0818776 | − | 0.0417187i | ||||
\(687\) | 5.74527 | − | 17.6821i | 0.219196 | − | 0.674615i | ||||
\(688\) | 8.45835i | 0.322471i | ||||||||
\(689\) | 0.339896 | + | 0.110439i | 0.0129490 | + | 0.00420739i | ||||
\(690\) | −2.15077 | − | 0.340648i | −0.0818783 | − | 0.0129682i | ||||
\(691\) | 31.9928 | − | 5.06715i | 1.21706 | − | 0.192764i | 0.485314 | − | 0.874340i | \(-0.338705\pi\) |
0.731747 | + | 0.681576i | \(0.238705\pi\) | |||||||
\(692\) | 92.0442 | − | 29.9070i | 3.49900 | − | 1.13689i | ||||
\(693\) | 1.80904 | + | 5.56764i | 0.0687196 | + | 0.211497i | ||||
\(694\) | −6.84132 | − | 6.84132i | −0.259693 | − | 0.259693i | ||||
\(695\) | −1.51436 | + | 2.08434i | −0.0574430 | + | 0.0790635i | ||||
\(696\) | 23.6405 | 0.896092 | ||||||||
\(697\) | −27.9771 | + | 14.8004i | −1.05971 | + | 0.560605i | ||||
\(698\) | −8.50482 | −0.321912 | ||||||||
\(699\) | −6.42431 | + | 8.84230i | −0.242990 | + | 0.334447i | ||||
\(700\) | 12.9828 | + | 12.9828i | 0.490704 | + | 0.490704i | ||||
\(701\) | −5.76795 | − | 17.7519i | −0.217852 | − | 0.670480i | −0.998939 | − | 0.0460576i | \(-0.985334\pi\) |
0.781086 | − | 0.624423i | \(-0.214666\pi\) | |||||||
\(702\) | 2.55055 | − | 0.828723i | 0.0962642 | − | 0.0312781i | ||||
\(703\) | 0.407319 | − | 0.0645130i | 0.0153623 | − | 0.00243315i | ||||
\(704\) | 27.2868 | + | 4.32180i | 1.02841 | + | 0.162884i | ||||
\(705\) | 1.69601 | + | 0.551066i | 0.0638753 | + | 0.0207543i | ||||
\(706\) | − | 47.7388i | − | 1.79667i | ||||||
\(707\) | −3.81889 | + | 11.7533i | −0.143624 | + | 0.442029i | ||||
\(708\) | 9.98904 | − | 5.08967i | 0.375411 | − | 0.191281i | ||||
\(709\) | 4.11404 | − | 8.07425i | 0.154506 | − | 0.303235i | −0.800759 | − | 0.598987i | \(-0.795570\pi\) |
0.955265 | + | 0.295752i | \(0.0955702\pi\) | |||||||
\(710\) | −0.353643 | − | 2.23281i | −0.0132720 | − | 0.0837960i | ||||
\(711\) | −4.11570 | + | 4.11570i | −0.154351 | + | 0.154351i | ||||
\(712\) | −38.3472 | − | 19.5389i | −1.43712 | − | 0.732251i | ||||
\(713\) | 2.74517 | − | 1.99448i | 0.102807 | − | 0.0746939i | ||||
\(714\) | 4.97643 | + | 9.76680i | 0.186238 | + | 0.365513i | ||||
\(715\) | −0.206244 | − | 0.149845i | −0.00771310 | − | 0.00560389i | ||||
\(716\) | −4.18163 | + | 26.4018i | −0.156275 | + | 0.986681i | ||||
\(717\) | −3.75189 | − | 5.16404i | −0.140117 | − | 0.192855i | ||||
\(718\) | 30.7074 | + | 42.2651i | 1.14599 | + | 1.57732i | ||||
\(719\) | 5.31684 | − | 33.5692i | 0.198285 | − | 1.25192i | −0.664862 | − | 0.746966i | \(-0.731510\pi\) |
0.863146 | − | 0.504954i | \(-0.168490\pi\) | |||||||
\(720\) | 1.94421 | + | 1.41255i | 0.0724566 | + | 0.0526428i | ||||
\(721\) | 0.0768476 | + | 0.150822i | 0.00286196 | + | 0.00561690i | ||||
\(722\) | 36.9890 | − | 26.8741i | 1.37659 | − | 1.00015i | ||||
\(723\) | 14.4162 | + | 7.34542i | 0.536144 | + | 0.273179i | ||||
\(724\) | 18.5078 | − | 18.5078i | 0.687838 | − | 0.687838i | ||||
\(725\) | −4.50280 | − | 28.4296i | −0.167230 | − | 1.05585i | ||||
\(726\) | −3.61774 | + | 7.10021i | −0.134267 | + | 0.263513i | ||||
\(727\) | 25.2087 | − | 12.8445i | 0.934938 | − | 0.476375i | 0.0809795 | − | 0.996716i | \(-0.474195\pi\) |
0.853959 | + | 0.520341i | \(0.174195\pi\) | |||||||
\(728\) | 0.313057 | − | 0.963489i | 0.0116026 | − | 0.0357093i | ||||
\(729\) | − | 8.64343i | − | 0.320127i | ||||||
\(730\) | −12.0785 | − | 3.92454i | −0.447045 | − | 0.145254i | ||||
\(731\) | 14.7481 | + | 2.33586i | 0.545477 | + | 0.0863950i | ||||
\(732\) | −31.5810 | + | 5.00194i | −1.16727 | + | 0.184877i | ||||
\(733\) | −30.0370 | + | 9.75963i | −1.10944 | + | 0.360480i | −0.805730 | − | 0.592283i | \(-0.798227\pi\) |
−0.303714 | + | 0.952763i | \(0.598227\pi\) | |||||||
\(734\) | −5.47266 | − | 16.8431i | −0.202000 | − | 0.621691i | ||||
\(735\) | 0.259947 | + | 0.259947i | 0.00958828 | + | 0.00958828i | ||||
\(736\) | −2.73549 | + | 3.76508i | −0.100832 | + | 0.138783i | ||||
\(737\) | 26.6044 | 0.979984 | ||||||||
\(738\) | 19.0716 | − | 27.1156i | 0.702035 | − | 0.998139i | ||||
\(739\) | −3.16954 | −0.116593 | −0.0582966 | − | 0.998299i | \(-0.518567\pi\) | ||||
−0.0582966 | + | 0.998299i | \(0.518567\pi\) | |||||||
\(740\) | 6.00352 | − | 8.26313i | 0.220694 | − | 0.303759i | ||||
\(741\) | 0.00934604 | + | 0.00934604i | 0.000343335 | + | 0.000343335i | ||||
\(742\) | −1.13219 | − | 3.48452i | −0.0415640 | − | 0.127921i | ||||
\(743\) | 17.1075 | − | 5.55858i | 0.627615 | − | 0.203924i | 0.0220966 | − | 0.999756i | \(-0.492966\pi\) |
0.605518 | + | 0.795831i | \(0.292966\pi\) | |||||||
\(744\) | 5.41412 | − | 0.857512i | 0.198491 | − | 0.0314379i | ||||
\(745\) | −7.59649 | − | 1.20317i | −0.278314 | − | 0.0440806i | ||||
\(746\) | 25.3124 | + | 8.22450i | 0.926753 | + | 0.301120i | ||||
\(747\) | 17.0774i | 0.624828i | ||||||||
\(748\) | −15.7670 | + | 48.5258i | −0.576498 | + | 1.77428i | ||||
\(749\) | 10.5789 | − | 5.39022i | 0.386545 | − | 0.196954i | ||||
\(750\) | −3.95297 | + | 7.75813i | −0.144342 | + | 0.283287i | ||||
\(751\) | −3.18543 | − | 20.1120i | −0.116238 | − | 0.733898i | −0.975112 | − | 0.221711i | \(-0.928836\pi\) |
0.858874 | − | 0.512186i | \(-0.171164\pi\) | |||||||
\(752\) | −9.60438 | + | 9.60438i | −0.350236 | + | 0.350236i | ||||
\(753\) | 22.8871 | + | 11.6615i | 0.834051 | + | 0.424970i | ||||
\(754\) | −2.71823 | + | 1.97491i | −0.0989922 | + | 0.0719220i | ||||
\(755\) | −4.06279 | − | 7.97368i | −0.147860 | − | 0.290192i | ||||
\(756\) | −14.5631 | − | 10.5807i | −0.529656 | − | 0.384818i | ||||
\(757\) | −0.625951 | + | 3.95210i | −0.0227506 | + | 0.143642i | −0.996449 | − | 0.0841995i | \(-0.973167\pi\) |
0.973698 | + | 0.227841i | \(0.0731667\pi\) | |||||||
\(758\) | −30.1379 | − | 41.4812i | −1.09466 | − | 1.50667i | ||||
\(759\) | 3.62733 | + | 4.99259i | 0.131664 | + | 0.181220i | ||||
\(760\) | −0.0164570 | + | 0.103905i | −0.000596958 | + | 0.00376904i | ||||
\(761\) | 12.5791 | + | 9.13925i | 0.455992 | + | 0.331298i | 0.791957 | − | 0.610577i | \(-0.209062\pi\) |
−0.335965 | + | 0.941874i | \(0.609062\pi\) | |||||||
\(762\) | −13.8248 | − | 27.1327i | −0.500819 | − | 0.982913i | ||||
\(763\) | 5.64099 | − | 4.09842i | 0.204217 | − | 0.148373i | ||||
\(764\) | 29.8765 | + | 15.2228i | 1.08089 | + | 0.550742i | ||||
\(765\) | 2.99986 | − | 2.99986i | 0.108460 | − | 0.108460i | ||||
\(766\) | 4.85613 | + | 30.6604i | 0.175459 | + | 1.10780i | ||||
\(767\) | −0.341932 | + | 0.671079i | −0.0123465 | + | 0.0242313i | ||||
\(768\) | −24.1358 | + | 12.2978i | −0.870926 | + | 0.443759i | ||||
\(769\) | 4.79675 | − | 14.7629i | 0.172975 | − | 0.532363i | −0.826560 | − | 0.562849i | \(-0.809705\pi\) |
0.999535 | + | 0.0304857i | \(0.00970539\pi\) | |||||||
\(770\) | 2.61349i | 0.0941837i | ||||||||
\(771\) | −4.27876 | − | 1.39025i | −0.154096 | − | 0.0500687i | ||||
\(772\) | 13.0775 | + | 2.07128i | 0.470671 | + | 0.0745470i | ||||
\(773\) | −1.17120 | + | 0.185499i | −0.0421250 | + | 0.00667194i | −0.177461 | − | 0.984128i | \(-0.556788\pi\) |
0.135336 | + | 0.990800i | \(0.456788\pi\) | |||||||
\(774\) | −14.8741 | + | 4.83290i | −0.534640 | + | 0.173715i | ||||
\(775\) | −2.06245 | − | 6.34757i | −0.0740854 | − | 0.228011i | ||||
\(776\) | 7.02307 | + | 7.02307i | 0.252114 | + | 0.252114i | ||||
\(777\) | −3.65516 | + | 5.03089i | −0.131128 | + | 0.180482i | ||||
\(778\) | 53.7937 | 1.92860 | ||||||||
\(779\) | 0.387325 | + | 0.0552652i | 0.0138774 | + | 0.00198008i | ||||
\(780\) | 0.327352 | 0.0117211 | ||||||||
\(781\) | −3.76571 | + | 5.18305i | −0.134748 | + | 0.185464i | ||||
\(782\) | −20.7039 | − | 20.7039i | −0.740368 | − | 0.740368i | ||||
\(783\) | 8.72061 | + | 26.8393i | 0.311649 | + | 0.959158i | ||||
\(784\) | −2.66299 | + | 0.865257i | −0.0951067 | + | 0.0309020i | ||||
\(785\) | 4.13524 | − | 0.654957i | 0.147593 | − | 0.0233764i | ||||
\(786\) | −44.3910 | − | 7.03084i | −1.58337 | − | 0.250782i | ||||
\(787\) | 31.7859 | + | 10.3279i | 1.13304 | + | 0.368148i | 0.814732 | − | 0.579837i | \(-0.196884\pi\) |
0.318312 | + | 0.947986i | \(0.396884\pi\) | |||||||
\(788\) | − | 50.0671i | − | 1.78357i | ||||||
\(789\) | 4.85673 | − | 14.9475i | 0.172904 | − | 0.532144i | ||||
\(790\) | −2.31524 | + | 1.17967i | −0.0823724 | + | 0.0419708i | ||||
\(791\) | 0.836072 | − | 1.64088i | 0.0297273 | − | 0.0583431i | ||||
\(792\) | −3.95174 | − | 24.9503i | −0.140419 | − | 0.886571i | ||||
\(793\) | 1.51894 | − | 1.51894i | 0.0539393 | − | 0.0539393i | ||||
\(794\) | 80.0883 | + | 40.8070i | 2.84223 | + | 1.44819i | ||||
\(795\) | 0.452739 | − | 0.328934i | 0.0160570 | − | 0.0116661i | ||||
\(796\) | −33.6598 | − | 66.0611i | −1.19304 | − | 2.34147i | ||||
\(797\) | −27.2251 | − | 19.7802i | −0.964363 | − | 0.700651i | −0.0102032 | − | 0.999948i | \(-0.503248\pi\) |
−0.954160 | + | 0.299297i | \(0.903248\pi\) | |||||||
\(798\) | 0.0211969 | − | 0.133832i | 0.000750362 | − | 0.00473760i | ||||
\(799\) | 14.0939 | + | 19.3987i | 0.498608 | + | 0.686275i | ||||
\(800\) | 5.38054 | + | 7.40568i | 0.190231 | + | 0.261830i | ||||
\(801\) | 3.35623 | − | 21.1904i | 0.118586 | − | 0.748725i | ||||
\(802\) | −62.5986 | − | 45.4806i | −2.21043 | − | 1.60598i | ||||
\(803\) | 16.3399 | + | 32.0688i | 0.576621 | + | 1.13168i | ||||
\(804\) | −27.6377 | + | 20.0799i | −0.974706 | + | 0.708165i | ||||
\(805\) | −0.874933 | − | 0.445801i | −0.0308374 | − | 0.0157124i | ||||
\(806\) | −0.550889 | + | 0.550889i | −0.0194042 | + | 0.0194042i | ||||
\(807\) | 1.86247 | + | 11.7592i | 0.0655620 | + | 0.413942i | ||||
\(808\) | 24.2099 | − | 47.5145i | 0.851700 | − | 1.67156i | ||||
\(809\) | 28.8154 | − | 14.6822i | 1.01309 | − | 0.516197i | 0.133060 | − | 0.991108i | \(-0.457520\pi\) |
0.880034 | + | 0.474911i | \(0.157520\pi\) | |||||||
\(810\) | −0.617365 | + | 1.90005i | −0.0216920 | + | 0.0667611i | ||||
\(811\) | 47.7529i | 1.67683i | 0.545030 | + | 0.838416i | \(0.316518\pi\) | ||||
−0.545030 | + | 0.838416i | \(0.683482\pi\) | |||||||
\(812\) | 21.4489 | + | 6.96918i | 0.752710 | + | 0.244570i | ||||
\(813\) | −16.7626 | − | 2.65493i | −0.587889 | − | 0.0931124i | ||||
\(814\) | −43.6645 | + | 6.91578i | −1.53044 | + | 0.242398i | ||||
\(815\) | −5.47334 | + | 1.77840i | −0.191723 | + | 0.0622945i | ||||
\(816\) | −3.94067 | − | 12.1282i | −0.137951 | − | 0.424570i | ||||
\(817\) | −0.130517 | − | 0.130517i | −0.00456622 | − | 0.00456622i | ||||
\(818\) | −40.9658 | + | 56.3846i | −1.43234 | + | 1.97144i | ||||
\(819\) | 0.505017 | 0.0176467 | ||||||||
\(820\) | 7.75103 | − | 5.81533i | 0.270678 | − | 0.203080i | ||||
\(821\) | −23.1325 | −0.807330 | −0.403665 | − | 0.914907i | \(-0.632264\pi\) | ||||
−0.403665 | + | 0.914907i | \(0.632264\pi\) | |||||||
\(822\) | −0.489217 | + | 0.673350i | −0.0170634 | + | 0.0234858i | ||||
\(823\) | 13.4617 | + | 13.4617i | 0.469245 | + | 0.469245i | 0.901670 | − | 0.432425i | \(-0.142342\pi\) |
−0.432425 | + | 0.901670i | \(0.642342\pi\) | |||||||
\(824\) | −0.225713 | − | 0.694674i | −0.00786310 | − | 0.0242001i | ||||
\(825\) | 11.5442 | − | 3.75095i | 0.401918 | − | 0.130591i | ||||
\(826\) | 7.62623 | − | 1.20788i | 0.265350 | − | 0.0420274i | ||||
\(827\) | 14.8604 | + | 2.35366i | 0.516747 | + | 0.0818447i | 0.409361 | − | 0.912373i | \(-0.365752\pi\) |
0.107387 | + | 0.994217i | \(0.465752\pi\) | |||||||
\(828\) | 19.0966 | + | 6.20487i | 0.663654 | + | 0.215634i | ||||
\(829\) | 9.26690i | 0.321853i | 0.986966 | + | 0.160926i | \(0.0514481\pi\) | ||||
−0.986966 | + | 0.160926i | \(0.948552\pi\) | |||||||
\(830\) | −2.35591 | + | 7.25076i | −0.0817750 | + | 0.251677i | ||||
\(831\) | −5.66919 | + | 2.88860i | −0.196662 | + | 0.100204i | ||||
\(832\) | 1.08198 | − | 2.12351i | 0.0375110 | − | 0.0736195i | ||||
\(833\) | 0.773259 | + | 4.88216i | 0.0267918 | + | 0.169157i | ||||
\(834\) | −10.1253 | + | 10.1253i | −0.350611 | + | 0.350611i | ||||
\(835\) | 2.06494 | + | 1.05214i | 0.0714602 | + | 0.0364108i | ||||
\(836\) | 0.510261 | − | 0.370726i | 0.0176477 | − | 0.0128218i | ||||
\(837\) | 2.97072 | + | 5.83037i | 0.102683 | + | 0.201527i | ||||
\(838\) | 42.5421 | + | 30.9086i | 1.46959 | + | 1.06772i | ||||
\(839\) | −6.39704 | + | 40.3893i | −0.220850 | + | 1.39439i | 0.589178 | + | 0.808004i | \(0.299452\pi\) |
−0.810028 | + | 0.586391i | \(0.800548\pi\) | |||||||
\(840\) | −0.932415 | − | 1.28336i | −0.0321714 | − | 0.0442801i | ||||
\(841\) | −3.73612 | − | 5.14233i | −0.128832 | − | 0.177322i | ||||
\(842\) | −4.60144 | + | 29.0523i | −0.158576 | + | 1.00121i | ||||
\(843\) | 22.9235 | + | 16.6549i | 0.789527 | + | 0.573625i | ||||
\(844\) | −45.2274 | − | 88.7638i | −1.55679 | − | 3.05537i | ||||
\(845\) | 4.17852 | − | 3.03587i | 0.143745 | − | 0.104437i | ||||
\(846\) | −22.3772 | − | 11.4018i | −0.769344 | − | 0.392000i | ||||
\(847\) | −2.54095 | + | 2.54095i | −0.0873081 | + | 0.0873081i | ||||
\(848\) | 0.666786 | + | 4.20992i | 0.0228975 | + | 0.144569i | ||||
\(849\) | 2.29136 | − | 4.49705i | 0.0786394 | − | 0.154338i | ||||
\(850\) | −51.3141 | + | 26.1459i | −1.76006 | + | 0.896795i | ||||
\(851\) | 5.13292 | − | 15.7975i | 0.175954 | − | 0.541531i | ||||
\(852\) | − | 8.22657i | − | 0.281837i | ||||||
\(853\) | −6.47138 | − | 2.10268i | −0.221576 | − | 0.0719944i | 0.196125 | − | 0.980579i | \(-0.437164\pi\) |
−0.417701 | + | 0.908584i | \(0.637164\pi\) | |||||||
\(854\) | −21.7507 | − | 3.44497i | −0.744294 | − | 0.117885i | ||||
\(855\) | −0.0517969 | + | 0.00820383i | −0.00177142 | + | 0.000280565i | ||||
\(856\) | −48.7256 | + | 15.8319i | −1.66541 | + | 0.541123i | ||||
\(857\) | −15.5173 | − | 47.7573i | −0.530060 | − | 1.63136i | −0.754087 | − | 0.656775i | \(-0.771920\pi\) |
0.224027 | − | 0.974583i | \(-0.428080\pi\) | |||||||
\(858\) | −1.00189 | − | 1.00189i | −0.0342041 | − | 0.0342041i | ||||
\(859\) | 1.52256 | − | 2.09562i | 0.0519490 | − | 0.0715016i | −0.782252 | − | 0.622962i | \(-0.785929\pi\) |
0.834201 | + | 0.551460i | \(0.185929\pi\) | |||||||
\(860\) | −4.57146 | −0.155886 | ||||||||
\(861\) | −4.71910 | + | 3.54058i | −0.160827 | + | 0.120663i | ||||
\(862\) | 33.0286 | 1.12496 | ||||||||
\(863\) | 6.12219 | − | 8.42647i | 0.208402 | − | 0.286840i | −0.692002 | − | 0.721896i | \(-0.743271\pi\) |
0.900404 | + | 0.435055i | \(0.143271\pi\) | |||||||
\(864\) | −6.34609 | − | 6.34609i | −0.215898 | − | 0.215898i | ||||
\(865\) | 3.14611 | + | 9.68272i | 0.106971 | + | 0.329222i | ||||
\(866\) | −58.1901 | + | 18.9071i | −1.97738 | + | 0.642489i | ||||
\(867\) | −6.76461 | + | 1.07141i | −0.229738 | + | 0.0363870i | ||||
\(868\) | 5.16499 | + | 0.818054i | 0.175311 | + | 0.0277666i | ||||
\(869\) | 7.00351 | + | 2.27558i | 0.237578 | + | 0.0771937i | ||||
\(870\) | 5.26113i | 0.178369i | ||||||||
\(871\) | 0.709213 | − | 2.18273i | 0.0240308 | − | 0.0739591i | ||||
\(872\) | −26.8083 | + | 13.6595i | −0.907844 | + | 0.462570i | ||||
\(873\) | −2.24778 | + | 4.41152i | −0.0760760 | + | 0.149307i | ||||
\(874\) | 0.0566196 | + | 0.357482i | 0.00191519 | + | 0.0120920i | ||||
\(875\) | −2.77640 | + | 2.77640i | −0.0938595 | + | 0.0938595i | ||||
\(876\) | −41.1788 | − | 20.9816i | −1.39130 | − | 0.708904i | ||||
\(877\) | −33.1476 | + | 24.0831i | −1.11931 | + | 0.813229i | −0.984105 | − | 0.177588i | \(-0.943170\pi\) |
−0.135208 | + | 0.990817i | \(0.543170\pi\) | |||||||
\(878\) | −13.4703 | − | 26.4369i | −0.454600 | − | 0.892202i | ||||
\(879\) | −21.9543 | − | 15.9508i | −0.740501 | − | 0.538006i | ||||
\(880\) | 0.475631 | − | 3.00302i | 0.0160335 | − | 0.101232i | ||||
\(881\) | −18.8111 | − | 25.8913i | −0.633763 | − | 0.872300i | 0.364500 | − | 0.931203i | \(-0.381240\pi\) |
−0.998264 | + | 0.0589028i | \(0.981240\pi\) | |||||||
\(882\) | −3.04314 | − | 4.18852i | −0.102468 | − | 0.141035i | ||||
\(883\) | 0.230334 | − | 1.45427i | 0.00775137 | − | 0.0489402i | −0.983509 | − | 0.180857i | \(-0.942113\pi\) |
0.991261 | + | 0.131916i | \(0.0421130\pi\) | |||||||
\(884\) | 3.56095 | + | 2.58718i | 0.119768 | + | 0.0870163i | ||||
\(885\) | 0.535414 | + | 1.05081i | 0.0179978 | + | 0.0353226i | ||||
\(886\) | −54.3382 | + | 39.4790i | −1.82553 | + | 1.32632i | ||||
\(887\) | 16.6731 | + | 8.49538i | 0.559829 | + | 0.285247i | 0.710920 | − | 0.703273i | \(-0.248279\pi\) |
−0.151091 | + | 0.988520i | \(0.548279\pi\) | |||||||
\(888\) | 18.9742 | − | 18.9742i | 0.636732 | − | 0.636732i | ||||
\(889\) | −2.14815 | − | 13.5629i | −0.0720467 | − | 0.454885i | ||||
\(890\) | 4.34832 | − | 8.53406i | 0.145756 | − | 0.286062i | ||||
\(891\) | 5.04470 | − | 2.57040i | 0.169004 | − | 0.0861118i | ||||
\(892\) | 17.8717 | − | 55.0033i | 0.598388 | − | 1.84165i | ||||
\(893\) | − | 0.296403i | − | 0.00991873i | ||||||
\(894\) | −40.6548 | − | 13.2095i | −1.35970 | − | 0.441793i | ||||
\(895\) | −2.77737 | − | 0.439892i | −0.0928372 | − | 0.0147040i | ||||
\(896\) | −20.3964 | + | 3.23048i | −0.681397 | + | 0.107923i | ||||
\(897\) | 0.506310 | − | 0.164510i | 0.0169052 | − | 0.00549283i | ||||
\(898\) | 16.7550 | + | 51.5667i | 0.559123 | + | 1.72080i | ||||
\(899\) | −5.79698 | − | 5.79698i | −0.193340 | − | 0.193340i | ||||
\(900\) | 23.2145 | − | 31.9520i | 0.773816 | − | 1.06507i | ||||
\(901\) | 7.52460 | 0.250681 | ||||||||
\(902\) | −41.5212 | − | 5.92442i | −1.38250 | − | 0.197262i | ||||
\(903\) | 2.78327 | 0.0926214 | ||||||||
\(904\) | −4.67097 | + | 6.42903i | −0.155354 | + | 0.213827i | ||||
\(905\) | 1.94696 | + | 1.94696i | 0.0647190 | + | 0.0647190i | ||||
\(906\) | −15.3700 | − | 47.3039i | −0.510633 | − | 1.57157i | ||||
\(907\) | 43.0426 | − | 13.9854i | 1.42921 | − | 0.464377i | 0.510691 | − | 0.859764i | \(-0.329389\pi\) |
0.918515 | + | 0.395387i | \(0.129389\pi\) | |||||||
\(908\) | −25.5000 | + | 4.03880i | −0.846246 | + | 0.134032i | ||||
\(909\) | 26.2562 | + | 4.15857i | 0.870862 | + | 0.137931i | ||||
\(910\) | 0.214422 | + | 0.0696698i | 0.00710801 | + | 0.00230953i | ||||
\(911\) | − | 35.6944i | − | 1.18261i | −0.806448 | − | 0.591305i | \(-0.798613\pi\) | ||
0.806448 | − | 0.591305i | \(-0.201387\pi\) | |||||||
\(912\) | −0.0487123 | + | 0.149921i | −0.00161303 | + | 0.00496438i | ||||
\(913\) | 19.2510 | − | 9.80887i | 0.637115 | − | 0.324626i | ||||
\(914\) | 26.8810 | − | 52.7568i | 0.889143 | − | 1.74504i | ||||
\(915\) | −0.526186 | − | 3.32221i | −0.0173952 | − | 0.109829i | ||||
\(916\) | −54.1185 | + | 54.1185i | −1.78813 | + | 1.78813i | ||||
\(917\) | −18.0583 | − | 9.20116i | −0.596337 | − | 0.303849i | ||||
\(918\) | 45.6802 | − | 33.1886i | 1.50767 | − | 1.09539i | ||||
\(919\) | 20.1336 | + | 39.5144i | 0.664147 | + | 1.30346i | 0.939642 | + | 0.342159i | \(0.111158\pi\) |
−0.275496 | + | 0.961302i | \(0.588842\pi\) | |||||||
\(920\) | 3.42802 | + | 2.49060i | 0.113018 | + | 0.0821126i | ||||
\(921\) | −3.14875 | + | 19.8804i | −0.103755 | + | 0.655082i | ||||
\(922\) | −6.87319 | − | 9.46013i | −0.226356 | − | 0.311553i | ||||
\(923\) | 0.324854 | + | 0.447123i | 0.0106927 | + | 0.0147172i | ||||
\(924\) | −1.48778 | + | 9.39349i | −0.0489445 | + | 0.309023i | ||||
\(925\) | −26.4320 | − | 19.2039i | −0.869078 | − | 0.631422i | ||||
\(926\) | 41.3986 | + | 81.2494i | 1.36044 | + | 2.67002i | ||||
\(927\) | 0.294577 | − | 0.214022i | 0.00967517 | − | 0.00702942i | ||||
\(928\) | 10.0185 | + | 5.10469i | 0.328874 | + | 0.167570i | ||||
\(929\) | −21.6346 | + | 21.6346i | −0.709807 | + | 0.709807i | −0.966495 | − | 0.256687i | \(-0.917369\pi\) |
0.256687 | + | 0.966495i | \(0.417369\pi\) | |||||||
\(930\) | 0.190837 | + | 1.20490i | 0.00625778 | + | 0.0395101i | ||||
\(931\) | 0.0277400 | − | 0.0544429i | 0.000909143 | − | 0.00178429i | ||||
\(932\) | 40.0887 | − | 20.4262i | 1.31315 | − | 0.669083i | ||||
\(933\) | −7.11268 | + | 21.8906i | −0.232859 | + | 0.716666i | ||||
\(934\) | 66.9103i | 2.18937i | ||||||||
\(935\) | −5.10474 | − | 1.65863i | −0.166943 | − | 0.0542430i | ||||
\(936\) | −2.15237 | − | 0.340902i | −0.0703525 | − | 0.0111427i | ||||
\(937\) | 31.1770 | − | 4.93796i | 1.01851 | − | 0.161316i | 0.375217 | − | 0.926937i | \(-0.377568\pi\) |
0.643292 | + | 0.765621i | \(0.277568\pi\) | |||||||
\(938\) | −22.3768 | + | 7.27065i | −0.730627 | + | 0.237395i | ||||
\(939\) | 4.88818 | + | 15.0443i | 0.159520 | + | 0.490952i | ||||
\(940\) | −5.19086 | − | 5.19086i | −0.169307 | − | 0.169307i | ||||
\(941\) | 12.7655 | − | 17.5702i | 0.416144 | − | 0.572773i | −0.548559 | − | 0.836112i | \(-0.684824\pi\) |
0.964704 | + | 0.263338i | \(0.0848235\pi\) | |||||||
\(942\) | 23.2698 | 0.758171 | ||||||||
\(943\) | 9.06590 | − | 12.8897i | 0.295226 | − | 0.419747i | ||||
\(944\) | −8.98269 | −0.292362 | ||||||||
\(945\) | 1.11306 | − | 1.53199i | 0.0362077 | − | 0.0498356i | ||||
\(946\) | 13.9914 | + | 13.9914i | 0.454900 | + | 0.454900i | ||||
\(947\) | −5.70131 | − | 17.5468i | −0.185268 | − | 0.570195i | 0.814685 | − | 0.579903i | \(-0.196910\pi\) |
−0.999953 | + | 0.00970836i | \(0.996910\pi\) | |||||||
\(948\) | −8.99304 | + | 2.92202i | −0.292080 | + | 0.0949027i | ||||
\(949\) | 3.06664 | − | 0.485708i | 0.0995473 | − | 0.0157667i | ||||
\(950\) | 0.703144 | + | 0.111367i | 0.0228130 | + | 0.00361322i | ||||
\(951\) | 0.239676 | + | 0.0778755i | 0.00777203 | + | 0.00252529i | ||||
\(952\) | − | 21.3296i | − | 0.691298i | ||||||
\(953\) | 10.1437 | − | 31.2190i | 0.328586 | − | 1.01128i | −0.641210 | − | 0.767366i | \(-0.721567\pi\) |
0.969796 | − | 0.243918i | \(-0.0784329\pi\) | |||||||
\(954\) | −7.02223 | + | 3.57800i | −0.227353 | + | 0.115842i | ||||
\(955\) | −1.60138 | + | 3.14289i | −0.0518196 | + | 0.101702i | ||||
\(956\) | 4.11053 | + | 25.9528i | 0.132944 | + | 0.839375i | ||||
\(957\) | 10.5429 | − | 10.5429i | 0.340803 | − | 0.340803i | ||||
\(958\) | 60.9756 | + | 31.0686i | 1.97003 | + | 1.00378i | ||||
\(959\) | −0.303642 | + | 0.220609i | −0.00980511 | + | 0.00712383i | ||||
\(960\) | −1.69422 | − | 3.32510i | −0.0546809 | − | 0.107317i | ||||
\(961\) | 23.5416 | + | 17.1040i | 0.759408 | + | 0.551742i | ||||
\(962\) | −0.596599 | + | 3.76678i | −0.0192351 | + | 0.121446i | ||||
\(963\) | −15.0119 | − | 20.6621i | −0.483751 | − | 0.665826i | ||||
\(964\) | −39.1491 | − | 53.8841i | −1.26091 | − | 1.73549i | ||||
\(965\) | −0.217891 | + | 1.37571i | −0.00701416 | + | 0.0442857i | ||||
\(966\) | −4.41534 | − | 3.20793i | −0.142061 | − | 0.103214i | ||||
\(967\) | 22.2591 | + | 43.6859i | 0.715804 | + | 1.40484i | 0.906077 | + | 0.423114i | \(0.139063\pi\) |
−0.190272 | + | 0.981731i | \(0.560937\pi\) | |||||||
\(968\) | 12.5447 | − | 9.11425i | 0.403201 | − | 0.292943i | ||||
\(969\) | 0.247951 | + | 0.126338i | 0.00796535 | + | 0.00405855i | ||||
\(970\) | −1.56296 | + | 1.56296i | −0.0501837 | + | 0.0501837i | ||||
\(971\) | 3.36189 | + | 21.2261i | 0.107888 | + | 0.681179i | 0.981051 | + | 0.193750i | \(0.0620651\pi\) |
−0.873163 | + | 0.487429i | \(0.837935\pi\) | |||||||
\(972\) | −27.8175 | + | 54.5949i | −0.892246 | + | 1.75113i | ||||
\(973\) | −5.75340 | + | 2.93151i | −0.184446 | + | 0.0939797i | ||||
\(974\) | 2.22743 | − | 6.85531i | 0.0713713 | − | 0.219658i | ||||
\(975\) | − | 1.04713i | − | 0.0335349i | ||||||
\(976\) | 24.3656 | + | 7.91685i | 0.779923 | + | 0.253412i | ||||
\(977\) | 48.7491 | + | 7.72110i | 1.55962 | + | 0.247020i | 0.875816 | − | 0.482645i | \(-0.160324\pi\) |
0.683805 | + | 0.729665i | \(0.260324\pi\) | |||||||
\(978\) | −31.5921 | + | 5.00370i | −1.01020 | + | 0.160001i | ||||
\(979\) | −25.8153 | + | 8.38788i | −0.825059 | + | 0.268078i | ||||
\(980\) | −0.467644 | − | 1.43926i | −0.0149383 | − | 0.0459755i | ||||
\(981\) | −10.6057 | − | 10.6057i | −0.338614 | − | 0.338614i | ||||
\(982\) | 34.1021 | − | 46.9375i | 1.08824 | − | 1.49783i | ||||
\(983\) | −15.9249 | −0.507927 | −0.253963 | − | 0.967214i | \(-0.581734\pi\) | ||||
−0.253963 | + | 0.967214i | \(0.581734\pi\) | |||||||
\(984\) | 22.5027 | − | 11.9043i | 0.717360 | − | 0.379496i | ||||
\(985\) | 5.26688 | 0.167817 | ||||||||
\(986\) | −41.5806 | + | 57.2308i | −1.32420 | + | 1.82260i | ||||
\(987\) | 3.16038 | + | 3.16038i | 0.100596 | + | 0.100596i | ||||
\(988\) | −0.0168135 | − | 0.0517466i | −0.000534909 | − | 0.00164628i | ||||
\(989\) | −7.07060 | + | 2.29738i | −0.224832 | + | 0.0730524i | ||||
\(990\) | 5.55262 | − | 0.879449i | 0.176474 | − | 0.0279507i | ||||
\(991\) | 28.5780 | + | 4.52630i | 0.907809 | + | 0.143783i | 0.592841 | − | 0.805320i | \(-0.298006\pi\) |
0.314968 | + | 0.949102i | \(0.398006\pi\) | |||||||
\(992\) | 2.47959 | + | 0.805667i | 0.0787270 | + | 0.0255799i | ||||
\(993\) | − | 19.6961i | − | 0.625038i | ||||||
\(994\) | 1.75085 | − | 5.38855i | 0.0555335 | − | 0.170915i | ||||
\(995\) | 6.94938 | − | 3.54089i | 0.220310 | − | 0.112254i | ||||
\(996\) | −12.5953 | + | 24.7197i | −0.399099 | + | 0.783275i | ||||
\(997\) | 0.0100098 | + | 0.0631992i | 0.000317013 | + | 0.00200154i | 0.987846 | − | 0.155434i | \(-0.0496775\pi\) |
−0.987529 | + | 0.157435i | \(0.949677\pi\) | |||||||
\(998\) | −9.64046 | + | 9.64046i | −0.305163 | + | 0.305163i | ||||
\(999\) | 28.5408 | + | 14.5423i | 0.902992 | + | 0.460097i |
(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 | 287.2.u.a.8.19 | ✓ | 160 | |
41.36 | even | 20 | inner | 287.2.u.a.36.19 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.u.a.8.19 | ✓ | 160 | 1.1 | even | 1 | trivial | |
287.2.u.a.36.19 | yes | 160 | 41.36 | even | 20 | inner |