Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(277,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bj (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 337.4 | ||
Character | \(\chi\) | \(=\) | 930.337 |
Dual form | 930.2.bj.b.643.4 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | + | 0.891007i | −0.321020 | + | 0.630037i | ||||
\(3\) | 0.891007 | − | 0.453990i | 0.514423 | − | 0.262112i | ||||
\(4\) | −0.587785 | − | 0.809017i | −0.293893 | − | 0.404508i | ||||
\(5\) | −0.354402 | − | 2.20780i | −0.158493 | − | 0.987360i | ||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | 5.01200 | + | 0.793822i | 1.89436 | + | 0.300037i | 0.991521 | − | 0.129948i | \(-0.0414810\pi\) |
0.902836 | + | 0.429985i | \(0.141481\pi\) | |||||||
\(8\) | 0.987688 | − | 0.156434i | 0.349201 | − | 0.0553079i | ||||
\(9\) | 0.587785 | − | 0.809017i | 0.195928 | − | 0.269672i | ||||
\(10\) | 2.12806 | + | 0.686548i | 0.672953 | + | 0.217105i | ||||
\(11\) | 1.73984 | + | 2.39468i | 0.524580 | + | 0.722023i | 0.986292 | − | 0.165007i | \(-0.0527647\pi\) |
−0.461712 | + | 0.887030i | \(0.652765\pi\) | |||||||
\(12\) | −0.891007 | − | 0.453990i | −0.257211 | − | 0.131056i | ||||
\(13\) | 2.91665 | − | 1.48611i | 0.808934 | − | 0.412173i | −5.21899e−5 | − | 1.00000i | \(-0.500017\pi\) |
0.808986 | + | 0.587827i | \(0.200017\pi\) | |||||||
\(14\) | −2.98270 | + | 4.10533i | −0.797160 | + | 1.09720i | ||||
\(15\) | −1.31810 | − | 1.80627i | −0.340331 | − | 0.466378i | ||||
\(16\) | −0.309017 | + | 0.951057i | −0.0772542 | + | 0.237764i | ||||
\(17\) | −6.23926 | + | 0.988202i | −1.51324 | + | 0.239674i | −0.857174 | − | 0.515027i | \(-0.827782\pi\) |
−0.656069 | + | 0.754701i | \(0.727782\pi\) | |||||||
\(18\) | 0.453990 | + | 0.891007i | 0.107007 | + | 0.210012i | ||||
\(19\) | 2.09335 | − | 0.680172i | 0.480248 | − | 0.156042i | −0.0588813 | − | 0.998265i | \(-0.518753\pi\) |
0.539129 | + | 0.842223i | \(0.318753\pi\) | |||||||
\(20\) | −1.57784 | + | 1.58443i | −0.352815 | + | 0.354290i | ||||
\(21\) | 4.82611 | − | 1.56810i | 1.05314 | − | 0.342187i | ||||
\(22\) | −2.92354 | + | 0.463044i | −0.623302 | + | 0.0987213i | ||||
\(23\) | −0.400690 | − | 2.52986i | −0.0835497 | − | 0.527512i | −0.993595 | − | 0.113002i | \(-0.963953\pi\) |
0.910045 | − | 0.414509i | \(-0.136047\pi\) | |||||||
\(24\) | 0.809017 | − | 0.587785i | 0.165140 | − | 0.119981i | ||||
\(25\) | −4.74880 | + | 1.56490i | −0.949760 | + | 0.312980i | ||||
\(26\) | 3.27344i | 0.641974i | ||||||||
\(27\) | 0.156434 | − | 0.987688i | 0.0301058 | − | 0.190081i | ||||
\(28\) | −2.30376 | − | 4.52139i | −0.435370 | − | 0.854462i | ||||
\(29\) | −0.0924401 | − | 0.284501i | −0.0171657 | − | 0.0528306i | 0.942107 | − | 0.335313i | \(-0.108842\pi\) |
−0.959272 | + | 0.282482i | \(0.908842\pi\) | |||||||
\(30\) | 2.20780 | − | 0.354402i | 0.403088 | − | 0.0647046i | ||||
\(31\) | 1.19266 | − | 5.43853i | 0.214208 | − | 0.976788i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 2.63737 | + | 1.34381i | 0.459107 | + | 0.233927i | ||||
\(34\) | 1.95207 | − | 6.00786i | 0.334777 | − | 1.03034i | ||||
\(35\) | −0.0236572 | − | 11.3468i | −0.00399880 | − | 1.91797i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | −5.26888 | + | 5.26888i | −0.866198 | + | 0.866198i | −0.992049 | − | 0.125851i | \(-0.959834\pi\) |
0.125851 | + | 0.992049i | \(0.459834\pi\) | |||||||
\(38\) | −0.344325 | + | 2.17398i | −0.0558569 | + | 0.352667i | ||||
\(39\) | 1.92408 | − | 2.64827i | 0.308099 | − | 0.424062i | ||||
\(40\) | −0.695415 | − | 2.12518i | −0.109955 | − | 0.336021i | ||||
\(41\) | 3.24907 | + | 9.99960i | 0.507419 | + | 1.56168i | 0.796665 | + | 0.604421i | \(0.206595\pi\) |
−0.289246 | + | 0.957255i | \(0.593405\pi\) | |||||||
\(42\) | −0.793822 | + | 5.01200i | −0.122489 | + | 0.773368i | ||||
\(43\) | −0.501118 | + | 0.983500i | −0.0764198 | + | 0.149982i | −0.926055 | − | 0.377389i | \(-0.876822\pi\) |
0.849635 | + | 0.527371i | \(0.176822\pi\) | |||||||
\(44\) | 0.914686 | − | 2.81511i | 0.137894 | − | 0.424394i | ||||
\(45\) | −1.99446 | − | 1.01100i | −0.297317 | − | 0.150711i | ||||
\(46\) | 2.43603 | + | 0.791514i | 0.359173 | + | 0.116702i | ||||
\(47\) | 11.2714 | − | 5.74306i | 1.64410 | − | 0.837711i | 0.646929 | − | 0.762550i | \(-0.276053\pi\) |
0.997171 | − | 0.0751608i | \(-0.0239470\pi\) | |||||||
\(48\) | 0.156434 | + | 0.987688i | 0.0225794 | + | 0.142561i | ||||
\(49\) | 17.8326 | + | 5.79415i | 2.54751 | + | 0.827736i | ||||
\(50\) | 0.761573 | − | 4.94166i | 0.107703 | − | 0.698856i | ||||
\(51\) | −5.11059 | + | 3.71306i | −0.715626 | + | 0.519932i | ||||
\(52\) | −2.91665 | − | 1.48611i | −0.404467 | − | 0.206086i | ||||
\(53\) | −0.724157 | − | 4.57214i | −0.0994706 | − | 0.628032i | −0.986176 | − | 0.165698i | \(-0.947012\pi\) |
0.886706 | − | 0.462334i | \(-0.152988\pi\) | |||||||
\(54\) | 0.809017 | + | 0.587785i | 0.110093 | + | 0.0799874i | ||||
\(55\) | 4.67038 | − | 4.68990i | 0.629754 | − | 0.632386i | ||||
\(56\) | 5.07447 | 0.678105 | ||||||||
\(57\) | 1.55640 | − | 1.55640i | 0.206150 | − | 0.206150i | ||||
\(58\) | 0.295459 | + | 0.0467962i | 0.0387957 | + | 0.00614464i | ||||
\(59\) | 0.480740 | + | 0.156202i | 0.0625870 | + | 0.0203358i | 0.340143 | − | 0.940374i | \(-0.389524\pi\) |
−0.277556 | + | 0.960709i | \(0.589524\pi\) | |||||||
\(60\) | −0.686548 | + | 2.12806i | −0.0886329 | + | 0.274732i | ||||
\(61\) | − | 8.59453i | − | 1.10042i | −0.835027 | − | 0.550208i | \(-0.814548\pi\) | ||
0.835027 | − | 0.550208i | \(-0.185452\pi\) | |||||||
\(62\) | 4.30430 | + | 3.53171i | 0.546647 | + | 0.448527i | ||||
\(63\) | 3.58819 | − | 3.58819i | 0.452070 | − | 0.452070i | ||||
\(64\) | 0.951057 | − | 0.309017i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −4.31471 | − | 5.91272i | −0.535173 | − | 0.733383i | ||||
\(66\) | −2.39468 | + | 1.73984i | −0.294765 | + | 0.214159i | ||||
\(67\) | 5.03781 | + | 5.03781i | 0.615466 | + | 0.615466i | 0.944365 | − | 0.328899i | \(-0.106677\pi\) |
−0.328899 | + | 0.944365i | \(0.606677\pi\) | |||||||
\(68\) | 4.46682 | + | 4.46682i | 0.541681 | + | 0.541681i | ||||
\(69\) | −1.50555 | − | 2.07221i | −0.181247 | − | 0.249465i | ||||
\(70\) | 10.1208 | + | 5.13028i | 1.20967 | + | 0.613186i | ||||
\(71\) | −9.93374 | − | 7.21729i | −1.17892 | − | 0.856534i | −0.186869 | − | 0.982385i | \(-0.559834\pi\) |
−0.992049 | + | 0.125851i | \(0.959834\pi\) | |||||||
\(72\) | 0.453990 | − | 0.891007i | 0.0535033 | − | 0.105006i | ||||
\(73\) | 4.07666 | + | 0.645679i | 0.477137 | + | 0.0755710i | 0.390371 | − | 0.920658i | \(-0.372347\pi\) |
0.0867658 | + | 0.996229i | \(0.472347\pi\) | |||||||
\(74\) | −2.30258 | − | 7.08663i | −0.267670 | − | 0.823804i | ||||
\(75\) | −3.52076 | + | 3.55025i | −0.406542 | + | 0.409947i | ||||
\(76\) | −1.78071 | − | 1.29376i | −0.204262 | − | 0.148405i | ||||
\(77\) | 6.81910 | + | 13.3832i | 0.777109 | + | 1.52516i | ||||
\(78\) | 1.48611 | + | 2.91665i | 0.168269 | + | 0.330246i | ||||
\(79\) | −5.33462 | − | 3.87583i | −0.600191 | − | 0.436064i | 0.245756 | − | 0.969332i | \(-0.420964\pi\) |
−0.845947 | + | 0.533267i | \(0.820964\pi\) | |||||||
\(80\) | 2.20926 | + | 0.345193i | 0.247003 | + | 0.0385937i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | −10.3848 | − | 1.64478i | −1.14680 | − | 0.181636i | ||||
\(83\) | −6.06815 | + | 11.9094i | −0.666066 | + | 1.30723i | 0.272510 | + | 0.962153i | \(0.412146\pi\) |
−0.938575 | + | 0.345074i | \(0.887854\pi\) | |||||||
\(84\) | −4.10533 | − | 2.98270i | −0.447929 | − | 0.325439i | ||||
\(85\) | 4.39296 | + | 13.4248i | 0.476484 | + | 1.45613i | ||||
\(86\) | −0.648802 | − | 0.892999i | −0.0699621 | − | 0.0962946i | ||||
\(87\) | −0.211526 | − | 0.211526i | −0.0226779 | − | 0.0226779i | ||||
\(88\) | 2.09303 | + | 2.09303i | 0.223117 | + | 0.223117i | ||||
\(89\) | −6.83395 | + | 4.96516i | −0.724398 | + | 0.526306i | −0.887786 | − | 0.460256i | \(-0.847758\pi\) |
0.163389 | + | 0.986562i | \(0.447758\pi\) | |||||||
\(90\) | 1.80627 | − | 1.31810i | 0.190398 | − | 0.138940i | ||||
\(91\) | 15.7980 | − | 5.13307i | 1.65608 | − | 0.538092i | ||||
\(92\) | −1.81118 | + | 1.81118i | −0.188828 | + | 0.188828i | ||||
\(93\) | −1.40637 | − | 5.38722i | −0.145834 | − | 0.558629i | ||||
\(94\) | 12.6502i | 1.30477i | ||||||||
\(95\) | −2.24357 | − | 4.38066i | −0.230186 | − | 0.449446i | ||||
\(96\) | −0.951057 | − | 0.309017i | −0.0970668 | − | 0.0315389i | ||||
\(97\) | −2.74863 | − | 0.435340i | −0.279081 | − | 0.0442021i | 0.0153248 | − | 0.999883i | \(-0.495122\pi\) |
−0.294406 | + | 0.955680i | \(0.595122\pi\) | |||||||
\(98\) | −13.2584 | + | 13.2584i | −1.33931 | + | 1.33931i | ||||
\(99\) | 2.95999 | 0.297490 | ||||||||
\(100\) | 4.05730 | + | 2.92203i | 0.405730 | + | 0.292203i | ||||
\(101\) | −6.65920 | − | 4.83819i | −0.662615 | − | 0.481418i | 0.204930 | − | 0.978777i | \(-0.434303\pi\) |
−0.867545 | + | 0.497359i | \(0.834303\pi\) | |||||||
\(102\) | −0.988202 | − | 6.23926i | −0.0978466 | − | 0.617779i | ||||
\(103\) | 7.78948 | + | 3.96894i | 0.767521 | + | 0.391071i | 0.793484 | − | 0.608592i | \(-0.208265\pi\) |
−0.0259629 | + | 0.999663i | \(0.508265\pi\) | |||||||
\(104\) | 2.64827 | − | 1.92408i | 0.259684 | − | 0.188671i | ||||
\(105\) | −5.17244 | − | 10.0994i | −0.504778 | − | 0.985598i | ||||
\(106\) | 4.40257 | + | 1.43048i | 0.427615 | + | 0.138941i | ||||
\(107\) | 0.356118 | + | 2.24844i | 0.0344273 | + | 0.217365i | 0.998904 | − | 0.0468019i | \(-0.0149030\pi\) |
−0.964477 | + | 0.264167i | \(0.914903\pi\) | |||||||
\(108\) | −0.891007 | + | 0.453990i | −0.0857371 | + | 0.0436853i | ||||
\(109\) | −14.7082 | − | 4.77900i | −1.40879 | − | 0.457745i | −0.496770 | − | 0.867882i | \(-0.665481\pi\) |
−0.912024 | + | 0.410137i | \(0.865481\pi\) | |||||||
\(110\) | 2.05842 | + | 6.29051i | 0.196263 | + | 0.599776i | ||||
\(111\) | −2.30258 | + | 7.08663i | −0.218552 | + | 0.672633i | ||||
\(112\) | −2.30376 | + | 4.52139i | −0.217685 | + | 0.427231i | ||||
\(113\) | 2.79386 | − | 17.6397i | 0.262824 | − | 1.65940i | −0.404427 | − | 0.914570i | \(-0.632529\pi\) |
0.667250 | − | 0.744834i | \(-0.267471\pi\) | |||||||
\(114\) | 0.680172 | + | 2.09335i | 0.0637039 | + | 0.196061i | ||||
\(115\) | −5.44343 | + | 1.78123i | −0.507602 | + | 0.166101i | ||||
\(116\) | −0.175832 | + | 0.242011i | −0.0163255 | + | 0.0224702i | ||||
\(117\) | 0.512078 | − | 3.23314i | 0.0473417 | − | 0.298903i | ||||
\(118\) | −0.357428 | + | 0.357428i | −0.0329040 | + | 0.0329040i | ||||
\(119\) | −32.0556 | −2.93853 | ||||||||
\(120\) | −1.58443 | − | 1.57784i | −0.144638 | − | 0.144036i | ||||
\(121\) | 0.691729 | − | 2.12892i | 0.0628845 | − | 0.193538i | ||||
\(122\) | 7.65778 | + | 3.90183i | 0.693303 | + | 0.353256i | ||||
\(123\) | 7.43466 | + | 7.43466i | 0.670361 | + | 0.670361i | ||||
\(124\) | −5.10089 | + | 2.23180i | −0.458073 | + | 0.200422i | ||||
\(125\) | 5.13798 | + | 9.92981i | 0.459555 | + | 0.888150i | ||||
\(126\) | 1.56810 | + | 4.82611i | 0.139697 | + | 0.429944i | ||||
\(127\) | 6.32433 | + | 12.4122i | 0.561194 | + | 1.10140i | 0.981039 | + | 0.193809i | \(0.0620842\pi\) |
−0.419846 | + | 0.907596i | \(0.637916\pi\) | |||||||
\(128\) | −0.156434 | + | 0.987688i | −0.0138270 | + | 0.0873001i | ||||
\(129\) | 1.10381i | 0.0971849i | ||||||||
\(130\) | 7.22711 | − | 1.16011i | 0.633859 | − | 0.101749i | ||||
\(131\) | 4.26015 | − | 3.09518i | 0.372211 | − | 0.270427i | −0.385916 | − | 0.922534i | \(-0.626115\pi\) |
0.758127 | + | 0.652107i | \(0.226115\pi\) | |||||||
\(132\) | −0.463044 | − | 2.92354i | −0.0403028 | − | 0.254462i | ||||
\(133\) | 11.0318 | − | 1.74727i | 0.956580 | − | 0.151507i | ||||
\(134\) | −6.77584 | + | 2.20160i | −0.585343 | + | 0.190190i | ||||
\(135\) | −2.23606 | + | 0.00466201i | −0.192450 | + | 0.000401242i | ||||
\(136\) | −6.00786 | + | 1.95207i | −0.515170 | + | 0.167389i | ||||
\(137\) | −3.92325 | − | 7.69982i | −0.335186 | − | 0.657840i | 0.660479 | − | 0.750844i | \(-0.270353\pi\) |
−0.995666 | + | 0.0930041i | \(0.970353\pi\) | |||||||
\(138\) | 2.52986 | − | 0.400690i | 0.215356 | − | 0.0341090i | ||||
\(139\) | −4.46482 | + | 13.7413i | −0.378701 | + | 1.16552i | 0.562247 | + | 0.826969i | \(0.309937\pi\) |
−0.940948 | + | 0.338552i | \(0.890063\pi\) | |||||||
\(140\) | −9.16588 | + | 6.68865i | −0.774658 | + | 0.565294i | ||||
\(141\) | 7.43558 | − | 10.2342i | 0.626189 | − | 0.861875i | ||||
\(142\) | 10.9405 | − | 5.57445i | 0.918104 | − | 0.467797i | ||||
\(143\) | 8.63325 | + | 4.39886i | 0.721949 | + | 0.367851i | ||||
\(144\) | 0.587785 | + | 0.809017i | 0.0489821 | + | 0.0674181i | ||||
\(145\) | −0.595362 | + | 0.304917i | −0.0494422 | + | 0.0253220i | ||||
\(146\) | −2.42607 | + | 3.33920i | −0.200783 | + | 0.276354i | ||||
\(147\) | 18.5194 | − | 2.93319i | 1.52746 | − | 0.241925i | ||||
\(148\) | 7.35958 | + | 1.16564i | 0.604954 | + | 0.0958153i | ||||
\(149\) | 20.0774i | 1.64480i | 0.568907 | + | 0.822402i | \(0.307366\pi\) | ||||
−0.568907 | + | 0.822402i | \(0.692634\pi\) | |||||||
\(150\) | −1.56490 | − | 4.74880i | −0.127774 | − | 0.387738i | ||||
\(151\) | −1.26688 | − | 1.74372i | −0.103098 | − | 0.141902i | 0.754351 | − | 0.656471i | \(-0.227952\pi\) |
−0.857449 | + | 0.514570i | \(0.827952\pi\) | |||||||
\(152\) | 1.96118 | − | 0.999270i | 0.159073 | − | 0.0810515i | ||||
\(153\) | −2.86787 | + | 5.62852i | −0.231854 | + | 0.455039i | ||||
\(154\) | −15.0204 | −1.21038 | ||||||||
\(155\) | −12.4299 | − | 0.705738i | −0.998392 | − | 0.0566863i | ||||
\(156\) | −3.27344 | −0.262085 | ||||||||
\(157\) | 1.16286 | − | 2.28224i | 0.0928064 | − | 0.182143i | −0.839937 | − | 0.542684i | \(-0.817408\pi\) |
0.932743 | + | 0.360541i | \(0.117408\pi\) | |||||||
\(158\) | 5.87525 | − | 2.99359i | 0.467410 | − | 0.238157i | ||||
\(159\) | −2.72094 | − | 3.74505i | −0.215784 | − | 0.297002i | ||||
\(160\) | −1.31055 | + | 1.81175i | −0.103608 | + | 0.143232i | ||||
\(161\) | − | 12.9977i | − | 1.02436i | ||||||
\(162\) | 0.987688 | + | 0.156434i | 0.0776001 | + | 0.0122907i | ||||
\(163\) | −2.77204 | + | 0.439048i | −0.217123 | + | 0.0343889i | −0.264048 | − | 0.964510i | \(-0.585058\pi\) |
0.0469253 | + | 0.998898i | \(0.485058\pi\) | |||||||
\(164\) | 6.18009 | − | 8.50617i | 0.482584 | − | 0.664220i | ||||
\(165\) | 2.03217 | − | 6.29904i | 0.158204 | − | 0.490379i | ||||
\(166\) | −7.85648 | − | 10.8135i | −0.609781 | − | 0.839292i | ||||
\(167\) | −9.35443 | − | 4.76632i | −0.723867 | − | 0.368829i | 0.0529141 | − | 0.998599i | \(-0.483149\pi\) |
−0.776782 | + | 0.629770i | \(0.783149\pi\) | |||||||
\(168\) | 4.52139 | − | 2.30376i | 0.348833 | − | 0.177739i | ||||
\(169\) | −1.34286 | + | 1.84829i | −0.103297 | + | 0.142176i | ||||
\(170\) | −13.9560 | − | 2.18059i | −1.07038 | − | 0.167244i | ||||
\(171\) | 0.680172 | − | 2.09335i | 0.0520140 | − | 0.160083i | ||||
\(172\) | 1.09022 | − | 0.172674i | 0.0831284 | − | 0.0131662i | ||||
\(173\) | 3.91578 | + | 7.68515i | 0.297711 | + | 0.584291i | 0.990606 | − | 0.136748i | \(-0.0436650\pi\) |
−0.692895 | + | 0.721039i | \(0.743665\pi\) | |||||||
\(174\) | 0.284501 | − | 0.0924401i | 0.0215680 | − | 0.00700787i | ||||
\(175\) | −25.0432 | + | 4.07357i | −1.89309 | + | 0.307933i | ||||
\(176\) | −2.81511 | + | 0.914686i | −0.212197 | + | 0.0689471i | ||||
\(177\) | 0.499257 | − | 0.0790745i | 0.0375264 | − | 0.00594361i | ||||
\(178\) | −1.32144 | − | 8.34323i | −0.0990460 | − | 0.625352i | ||||
\(179\) | −3.10625 | + | 2.25682i | −0.232172 | + | 0.168683i | −0.697789 | − | 0.716304i | \(-0.745833\pi\) |
0.465617 | + | 0.884986i | \(0.345833\pi\) | |||||||
\(180\) | 0.354402 | + | 2.20780i | 0.0264156 | + | 0.164560i | ||||
\(181\) | − | 16.4511i | − | 1.22280i | −0.791322 | − | 0.611399i | \(-0.790607\pi\) | ||
0.791322 | − | 0.611399i | \(-0.209393\pi\) | |||||||
\(182\) | −2.59853 | + | 16.4065i | −0.192616 | + | 1.21613i | ||||
\(183\) | −3.90183 | − | 7.65778i | −0.288432 | − | 0.566080i | ||||
\(184\) | −0.791514 | − | 2.43603i | −0.0583512 | − | 0.179586i | ||||
\(185\) | 13.5000 | + | 9.76535i | 0.992536 | + | 0.717963i | ||||
\(186\) | 5.43853 | + | 1.19266i | 0.398772 | + | 0.0874502i | ||||
\(187\) | −13.2217 | − | 13.2217i | −0.966868 | − | 0.966868i | ||||
\(188\) | −11.2714 | − | 5.74306i | −0.822050 | − | 0.418856i | ||||
\(189\) | 1.56810 | − | 4.82611i | 0.114062 | − | 0.351048i | ||||
\(190\) | 4.92176 | − | 0.0102615i | 0.357062 | − | 0.000744445i | ||||
\(191\) | 16.3354 | 1.18199 | 0.590994 | − | 0.806676i | \(-0.298736\pi\) | ||||
0.590994 | + | 0.806676i | \(0.298736\pi\) | |||||||
\(192\) | 0.707107 | − | 0.707107i | 0.0510310 | − | 0.0510310i | ||||
\(193\) | −4.21760 | + | 26.6289i | −0.303589 | + | 1.91679i | 0.0869733 | + | 0.996211i | \(0.472281\pi\) |
−0.390563 | + | 0.920576i | \(0.627719\pi\) | |||||||
\(194\) | 1.63574 | − | 2.25141i | 0.117440 | − | 0.161642i | ||||
\(195\) | −6.52875 | − | 3.30944i | −0.467533 | − | 0.236994i | ||||
\(196\) | −5.79415 | − | 17.8326i | −0.413868 | − | 1.27375i | ||||
\(197\) | −0.870410 | + | 5.49555i | −0.0620141 | + | 0.391542i | 0.937085 | + | 0.349102i | \(0.113513\pi\) |
−0.999099 | + | 0.0424402i | \(0.986487\pi\) | |||||||
\(198\) | −1.34381 | + | 2.63737i | −0.0955001 | + | 0.187430i | ||||
\(199\) | 1.05928 | − | 3.26014i | 0.0750906 | − | 0.231105i | −0.906465 | − | 0.422280i | \(-0.861230\pi\) |
0.981556 | + | 0.191175i | \(0.0612298\pi\) | |||||||
\(200\) | −4.44553 | + | 2.28851i | −0.314346 | + | 0.161822i | ||||
\(201\) | 6.77584 | + | 2.20160i | 0.477931 | + | 0.155289i | ||||
\(202\) | 7.33407 | − | 3.73690i | 0.516023 | − | 0.262927i | ||||
\(203\) | −0.237466 | − | 1.49930i | −0.0166668 | − | 0.105230i | ||||
\(204\) | 6.00786 | + | 1.95207i | 0.420634 | + | 0.136672i | ||||
\(205\) | 20.9257 | − | 10.7172i | 1.46151 | − | 0.748521i | ||||
\(206\) | −7.07270 | + | 5.13862i | −0.492779 | + | 0.358025i | ||||
\(207\) | −2.28222 | − | 1.16285i | −0.158625 | − | 0.0808235i | ||||
\(208\) | 0.512078 | + | 3.23314i | 0.0355062 | + | 0.224178i | ||||
\(209\) | 5.27089 | + | 3.82952i | 0.364595 | + | 0.264894i | ||||
\(210\) | 11.3468 | − | 0.0236572i | 0.783006 | − | 0.00163250i | ||||
\(211\) | −8.05389 | −0.554453 | −0.277226 | − | 0.960805i | \(-0.589415\pi\) | ||||
−0.277226 | + | 0.960805i | \(0.589415\pi\) | |||||||
\(212\) | −3.27329 | + | 3.27329i | −0.224811 | + | 0.224811i | ||||
\(213\) | −12.1276 | − | 1.92082i | −0.830970 | − | 0.131613i | ||||
\(214\) | −2.16505 | − | 0.703468i | −0.148000 | − | 0.0480881i | ||||
\(215\) | 2.34897 | + | 0.757817i | 0.160199 | + | 0.0516827i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | 10.2948 | − | 26.3111i | 0.698859 | − | 1.78611i | ||||
\(218\) | 10.9355 | − | 10.9355i | 0.740647 | − | 0.740647i | ||||
\(219\) | 3.92546 | − | 1.27546i | 0.265258 | − | 0.0861876i | ||||
\(220\) | −6.53939 | − | 1.02177i | −0.440885 | − | 0.0688874i | ||||
\(221\) | −16.7292 | + | 12.1545i | −1.12533 | + | 0.817598i | ||||
\(222\) | −5.26888 | − | 5.26888i | −0.353624 | − | 0.353624i | ||||
\(223\) | 11.7148 | + | 11.7148i | 0.784482 | + | 0.784482i | 0.980584 | − | 0.196102i | \(-0.0628282\pi\) |
−0.196102 | + | 0.980584i | \(0.562828\pi\) | |||||||
\(224\) | −2.98270 | − | 4.10533i | −0.199290 | − | 0.274299i | ||||
\(225\) | −1.52524 | + | 4.76168i | −0.101683 | + | 0.317446i | ||||
\(226\) | 14.4487 | + | 10.4976i | 0.961114 | + | 0.698290i | ||||
\(227\) | −10.3949 | + | 20.4012i | −0.689937 | + | 1.35408i | 0.234265 | + | 0.972173i | \(0.424732\pi\) |
−0.924202 | + | 0.381904i | \(0.875268\pi\) | |||||||
\(228\) | −2.17398 | − | 0.344325i | −0.143976 | − | 0.0228035i | ||||
\(229\) | 0.965881 | + | 2.97268i | 0.0638272 | + | 0.196440i | 0.977885 | − | 0.209145i | \(-0.0670679\pi\) |
−0.914057 | + | 0.405585i | \(0.867068\pi\) | |||||||
\(230\) | 0.884174 | − | 5.65879i | 0.0583007 | − | 0.373130i | ||||
\(231\) | 12.1517 | + | 8.82875i | 0.799525 | + | 0.580889i | ||||
\(232\) | −0.135808 | − | 0.266538i | −0.00891622 | − | 0.0174991i | ||||
\(233\) | 3.12686 | + | 6.13681i | 0.204847 | + | 0.402036i | 0.970459 | − | 0.241268i | \(-0.0775633\pi\) |
−0.765611 | + | 0.643304i | \(0.777563\pi\) | |||||||
\(234\) | 2.64827 | + | 1.92408i | 0.173123 | + | 0.125781i | ||||
\(235\) | −16.6741 | − | 22.8497i | −1.08770 | − | 1.49055i | ||||
\(236\) | −0.156202 | − | 0.480740i | −0.0101679 | − | 0.0312935i | ||||
\(237\) | −6.51277 | − | 1.03152i | −0.423050 | − | 0.0670045i | ||||
\(238\) | 14.5529 | − | 28.5618i | 0.943328 | − | 1.85138i | ||||
\(239\) | −5.96337 | − | 4.33264i | −0.385738 | − | 0.280255i | 0.377969 | − | 0.925818i | \(-0.376623\pi\) |
−0.763707 | + | 0.645563i | \(0.776623\pi\) | |||||||
\(240\) | 2.12518 | − | 0.695415i | 0.137180 | − | 0.0448889i | ||||
\(241\) | −14.8520 | − | 20.4421i | −0.956704 | − | 1.31679i | −0.948485 | − | 0.316823i | \(-0.897384\pi\) |
−0.00821898 | − | 0.999966i | \(-0.502616\pi\) | |||||||
\(242\) | 1.58285 | + | 1.58285i | 0.101749 | + | 0.101749i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | −6.95312 | + | 5.05174i | −0.445128 | + | 0.323404i | ||||
\(245\) | 6.47246 | − | 41.4243i | 0.413510 | − | 2.64650i | ||||
\(246\) | −9.99960 | + | 3.24907i | −0.637551 | + | 0.207153i | ||||
\(247\) | 5.09478 | − | 5.09478i | 0.324173 | − | 0.324173i | ||||
\(248\) | 0.327205 | − | 5.55814i | 0.0207775 | − | 0.352942i | ||||
\(249\) | 13.3662i | 0.847051i | ||||||||
\(250\) | −11.1801 | + | 0.0699298i | −0.707093 | + | 0.00442275i | ||||
\(251\) | −12.7330 | − | 4.13720i | −0.803699 | − | 0.261138i | −0.121772 | − | 0.992558i | \(-0.538858\pi\) |
−0.681927 | + | 0.731420i | \(0.738858\pi\) | |||||||
\(252\) | −5.01200 | − | 0.793822i | −0.315726 | − | 0.0500061i | ||||
\(253\) | 5.36106 | − | 5.36106i | 0.337047 | − | 0.337047i | ||||
\(254\) | −13.9305 | −0.874080 | ||||||||
\(255\) | 10.0089 | + | 9.96726i | 0.626782 | + | 0.624174i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 1.56450 | + | 9.87784i | 0.0975906 | + | 0.616163i | 0.987206 | + | 0.159452i | \(0.0509727\pi\) |
−0.889615 | + | 0.456711i | \(0.849027\pi\) | |||||||
\(258\) | −0.983500 | − | 0.501118i | −0.0612300 | − | 0.0311983i | ||||
\(259\) | −30.5902 | + | 22.2251i | −1.90078 | + | 1.38100i | ||||
\(260\) | −2.24737 | + | 6.96608i | −0.139376 | + | 0.432018i | ||||
\(261\) | −0.284501 | − | 0.0924401i | −0.0176102 | − | 0.00572190i | ||||
\(262\) | 0.823759 | + | 5.20101i | 0.0508920 | + | 0.321319i | ||||
\(263\) | −15.1059 | + | 7.69683i | −0.931468 | + | 0.474607i | −0.852767 | − | 0.522291i | \(-0.825077\pi\) |
−0.0787013 | + | 0.996898i | \(0.525077\pi\) | |||||||
\(264\) | 2.81511 | + | 0.914686i | 0.173258 | + | 0.0562950i | ||||
\(265\) | −9.83776 | + | 3.21917i | −0.604329 | + | 0.197752i | ||||
\(266\) | −3.45151 | + | 10.6227i | −0.211626 | + | 0.651317i | ||||
\(267\) | −3.83496 | + | 7.52654i | −0.234696 | + | 0.460617i | ||||
\(268\) | 1.11452 | − | 7.03682i | 0.0680804 | − | 0.429842i | ||||
\(269\) | −5.55706 | − | 17.1029i | −0.338820 | − | 1.04278i | −0.964810 | − | 0.262949i | \(-0.915305\pi\) |
0.625990 | − | 0.779831i | \(-0.284695\pi\) | |||||||
\(270\) | 1.01100 | − | 1.99446i | 0.0615274 | − | 0.121379i | ||||
\(271\) | −3.64344 | + | 5.01476i | −0.221323 | + | 0.304625i | −0.905211 | − | 0.424962i | \(-0.860288\pi\) |
0.683888 | + | 0.729587i | \(0.260288\pi\) | |||||||
\(272\) | 0.988202 | − | 6.23926i | 0.0599185 | − | 0.378311i | ||||
\(273\) | 11.7457 | − | 11.7457i | 0.710884 | − | 0.710884i | ||||
\(274\) | 8.64171 | 0.522065 | ||||||||
\(275\) | −12.0096 | − | 8.64918i | −0.724204 | − | 0.521565i | ||||
\(276\) | −0.791514 | + | 2.43603i | −0.0476435 | + | 0.146632i | ||||
\(277\) | −7.03958 | − | 3.58685i | −0.422967 | − | 0.215513i | 0.229533 | − | 0.973301i | \(-0.426280\pi\) |
−0.652501 | + | 0.757788i | \(0.726280\pi\) | |||||||
\(278\) | −10.2166 | − | 10.2166i | −0.612751 | − | 0.612751i | ||||
\(279\) | −3.69883 | − | 4.16157i | −0.221443 | − | 0.249147i | ||||
\(280\) | −1.79840 | − | 11.2034i | −0.107475 | − | 0.669534i | ||||
\(281\) | 1.59351 | + | 4.90433i | 0.0950611 | + | 0.292568i | 0.987270 | − | 0.159056i | \(-0.0508450\pi\) |
−0.892209 | + | 0.451624i | \(0.850845\pi\) | |||||||
\(282\) | 5.74306 | + | 11.2714i | 0.341994 | + | 0.671201i | ||||
\(283\) | −0.549183 | + | 3.46741i | −0.0326455 | + | 0.206116i | −0.998620 | − | 0.0525226i | \(-0.983274\pi\) |
0.965974 | + | 0.258638i | \(0.0832738\pi\) | |||||||
\(284\) | 12.2788i | 0.728611i | ||||||||
\(285\) | −3.98782 | − | 2.88464i | −0.236218 | − | 0.170871i | ||||
\(286\) | −7.83883 | + | 5.69524i | −0.463520 | + | 0.336767i | ||||
\(287\) | 8.34641 | + | 52.6972i | 0.492673 | + | 3.11062i | ||||
\(288\) | −0.987688 | + | 0.156434i | −0.0582001 | + | 0.00921799i | ||||
\(289\) | 21.7839 | − | 7.07801i | 1.28141 | − | 0.416354i | ||||
\(290\) | −0.00139461 | − | 0.668901i | −8.18940e−5 | − | 0.0392792i | ||||
\(291\) | −2.64669 | + | 0.859961i | −0.155152 | + | 0.0504118i | ||||
\(292\) | −1.87383 | − | 3.67761i | −0.109658 | − | 0.215216i | ||||
\(293\) | 1.53128 | − | 0.242531i | 0.0894582 | − | 0.0141688i | −0.111545 | − | 0.993759i | \(-0.535580\pi\) |
0.201003 | + | 0.979591i | \(0.435580\pi\) | |||||||
\(294\) | −5.79415 | + | 17.8326i | −0.337922 | + | 1.04002i | ||||
\(295\) | 0.174488 | − | 1.11674i | 0.0101591 | − | 0.0650190i | ||||
\(296\) | −4.37978 | + | 6.02824i | −0.254569 | + | 0.350385i | ||||
\(297\) | 2.63737 | − | 1.34381i | 0.153036 | − | 0.0779755i | ||||
\(298\) | −17.8891 | − | 9.11494i | −1.03629 | − | 0.528014i | ||||
\(299\) | −4.92832 | − | 6.78325i | −0.285012 | − | 0.392285i | ||||
\(300\) | 4.94166 | + | 0.761573i | 0.285307 | + | 0.0439694i | ||||
\(301\) | −3.29233 | + | 4.53150i | −0.189767 | + | 0.261191i | ||||
\(302\) | 2.12882 | − | 0.337171i | 0.122500 | − | 0.0194020i | ||||
\(303\) | −8.12988 | − | 1.28765i | −0.467049 | − | 0.0739734i | ||||
\(304\) | 2.20108i | 0.126241i | ||||||||
\(305\) | −18.9750 | + | 3.04592i | −1.08651 | + | 0.174409i | ||||
\(306\) | −3.71306 | − | 5.11059i | −0.212262 | − | 0.292153i | ||||
\(307\) | −27.4749 | + | 13.9991i | −1.56807 | + | 0.798973i | −0.999717 | − | 0.0238098i | \(-0.992420\pi\) |
−0.568356 | + | 0.822783i | \(0.692420\pi\) | |||||||
\(308\) | 6.81910 | − | 13.3832i | 0.388555 | − | 0.762581i | ||||
\(309\) | 8.74234 | 0.497335 | ||||||||
\(310\) | 6.27187 | − | 10.7547i | 0.356218 | − | 0.610826i | ||||
\(311\) | −16.3030 | −0.924460 | −0.462230 | − | 0.886760i | \(-0.652951\pi\) | ||||
−0.462230 | + | 0.886760i | \(0.652951\pi\) | |||||||
\(312\) | 1.48611 | − | 2.91665i | 0.0841344 | − | 0.165123i | ||||
\(313\) | −4.91750 | + | 2.50559i | −0.277954 | + | 0.141625i | −0.587411 | − | 0.809289i | \(-0.699853\pi\) |
0.309457 | + | 0.950913i | \(0.399853\pi\) | |||||||
\(314\) | 1.50557 | + | 2.07223i | 0.0849640 | + | 0.116943i | ||||
\(315\) | −9.19369 | − | 6.65037i | −0.518006 | − | 0.374706i | ||||
\(316\) | 6.59395i | 0.370939i | ||||||||
\(317\) | 3.06867 | + | 0.486029i | 0.172354 | + | 0.0272981i | 0.242015 | − | 0.970273i | \(-0.422192\pi\) |
−0.0696611 | + | 0.997571i | \(0.522192\pi\) | |||||||
\(318\) | 4.57214 | − | 0.724157i | 0.256393 | − | 0.0406087i | ||||
\(319\) | 0.520459 | − | 0.716350i | 0.0291401 | − | 0.0401079i | ||||
\(320\) | −1.01931 | − | 1.99023i | −0.0569809 | − | 0.111257i | ||||
\(321\) | 1.33808 | + | 1.84170i | 0.0746841 | + | 0.102794i | ||||
\(322\) | 11.5811 | + | 5.90084i | 0.645387 | + | 0.328841i | ||||
\(323\) | −12.3888 | + | 6.31243i | −0.689333 | + | 0.351233i | ||||
\(324\) | −0.587785 | + | 0.809017i | −0.0326547 | + | 0.0449454i | ||||
\(325\) | −11.5250 | + | 11.6215i | −0.639291 | + | 0.644645i | ||||
\(326\) | 0.867285 | − | 2.66923i | 0.0480344 | − | 0.147835i | ||||
\(327\) | −15.2748 | + | 2.41928i | −0.844696 | + | 0.133787i | ||||
\(328\) | 4.77335 | + | 9.36822i | 0.263564 | + | 0.517274i | ||||
\(329\) | 61.0511 | − | 19.8367i | 3.36586 | − | 1.09363i | ||||
\(330\) | 4.68990 | + | 4.67038i | 0.258170 | + | 0.257096i | ||||
\(331\) | −20.0492 | + | 6.51439i | −1.10201 | + | 0.358063i | −0.802874 | − | 0.596149i | \(-0.796697\pi\) |
−0.299131 | + | 0.954212i | \(0.596697\pi\) | |||||||
\(332\) | 13.2017 | − | 2.09094i | 0.724536 | − | 0.114755i | ||||
\(333\) | 1.16564 | + | 7.35958i | 0.0638769 | + | 0.403303i | ||||
\(334\) | 8.49364 | − | 6.17099i | 0.464752 | − | 0.337662i | ||||
\(335\) | 9.33709 | − | 12.9079i | 0.510140 | − | 0.705234i | ||||
\(336\) | 5.07447i | 0.276835i | ||||||||
\(337\) | −2.49394 | + | 15.7461i | −0.135854 | + | 0.857746i | 0.821790 | + | 0.569790i | \(0.192976\pi\) |
−0.957644 | + | 0.287955i | \(0.907024\pi\) | |||||||
\(338\) | −1.03719 | − | 2.03560i | −0.0564158 | − | 0.110722i | ||||
\(339\) | −5.51892 | − | 16.9855i | −0.299746 | − | 0.922525i | ||||
\(340\) | 8.27881 | − | 11.4449i | 0.448982 | − | 0.620687i | ||||
\(341\) | 15.0986 | − | 6.60610i | 0.817633 | − | 0.357741i | ||||
\(342\) | 1.55640 | + | 1.55640i | 0.0841605 | + | 0.0841605i | ||||
\(343\) | 53.1275 | + | 27.0698i | 2.86862 | + | 1.46163i | ||||
\(344\) | −0.341095 | + | 1.04978i | −0.0183906 | + | 0.0566005i | ||||
\(345\) | −4.04147 | + | 4.05835i | −0.217585 | + | 0.218494i | ||||
\(346\) | −8.62524 | −0.463696 | ||||||||
\(347\) | 22.3391 | − | 22.3391i | 1.19922 | − | 1.19922i | 0.224824 | − | 0.974399i | \(-0.427819\pi\) |
0.974399 | − | 0.224824i | \(-0.0721807\pi\) | |||||||
\(348\) | −0.0467962 | + | 0.295459i | −0.00250854 | + | 0.0158383i | ||||
\(349\) | −21.3859 | + | 29.4351i | −1.14476 | + | 1.57563i | −0.388370 | + | 0.921503i | \(0.626962\pi\) |
−0.756389 | + | 0.654122i | \(0.773038\pi\) | |||||||
\(350\) | 7.73980 | − | 24.1630i | 0.413710 | − | 1.29157i | ||||
\(351\) | −1.01155 | − | 3.11322i | −0.0539924 | − | 0.166172i | ||||
\(352\) | 0.463044 | − | 2.92354i | 0.0246803 | − | 0.155825i | ||||
\(353\) | −8.94267 | + | 17.5510i | −0.475970 | + | 0.934145i | 0.520788 | + | 0.853686i | \(0.325638\pi\) |
−0.996758 | + | 0.0804583i | \(0.974362\pi\) | |||||||
\(354\) | −0.156202 | + | 0.480740i | −0.00830204 | + | 0.0255511i | ||||
\(355\) | −12.4138 | + | 24.4896i | −0.658857 | + | 1.29977i | ||||
\(356\) | 8.03379 | + | 2.61034i | 0.425790 | + | 0.138348i | ||||
\(357\) | −28.5618 | + | 14.5529i | −1.51165 | + | 0.770224i | ||||
\(358\) | −0.600635 | − | 3.79226i | −0.0317446 | − | 0.200427i | ||||
\(359\) | 18.5117 | + | 6.01481i | 0.977010 | + | 0.317450i | 0.753642 | − | 0.657285i | \(-0.228295\pi\) |
0.223367 | + | 0.974734i | \(0.428295\pi\) | |||||||
\(360\) | −2.12806 | − | 0.686548i | −0.112159 | − | 0.0361842i | ||||
\(361\) | −11.4518 | + | 8.32024i | −0.602728 | + | 0.437907i | ||||
\(362\) | 14.6580 | + | 7.46863i | 0.770408 | + | 0.392542i | ||||
\(363\) | −0.350176 | − | 2.21092i | −0.0183795 | − | 0.116043i | ||||
\(364\) | −13.4386 | − | 9.76368i | −0.704372 | − | 0.511756i | ||||
\(365\) | −0.0192423 | − | 9.22929i | −0.00100719 | − | 0.483083i | ||||
\(366\) | 8.59453 | 0.449243 | ||||||||
\(367\) | 10.6749 | − | 10.6749i | 0.557227 | − | 0.557227i | −0.371290 | − | 0.928517i | \(-0.621085\pi\) |
0.928517 | + | 0.371290i | \(0.121085\pi\) | |||||||
\(368\) | 2.52986 | + | 0.400690i | 0.131878 | + | 0.0208874i | ||||
\(369\) | 9.99960 | + | 3.24907i | 0.520558 | + | 0.169140i | ||||
\(370\) | −14.8298 | + | 7.59517i | −0.770967 | + | 0.394854i | ||||
\(371\) | − | 23.4904i | − | 1.21956i | ||||||
\(372\) | −3.53171 | + | 4.30430i | −0.183111 | + | 0.223168i | ||||
\(373\) | 4.26623 | − | 4.26623i | 0.220897 | − | 0.220897i | −0.587979 | − | 0.808876i | \(-0.700076\pi\) |
0.808876 | + | 0.587979i | \(0.200076\pi\) | |||||||
\(374\) | 17.7832 | − | 5.77810i | 0.919546 | − | 0.298779i | ||||
\(375\) | 9.08601 | + | 6.51494i | 0.469200 | + | 0.336430i | ||||
\(376\) | 10.2342 | − | 7.43558i | 0.527789 | − | 0.383461i | ||||
\(377\) | −0.692416 | − | 0.692416i | −0.0356612 | − | 0.0356612i | ||||
\(378\) | 3.58819 | + | 3.58819i | 0.184557 | + | 0.184557i | ||||
\(379\) | −17.4551 | − | 24.0248i | −0.896606 | − | 1.23407i | −0.971538 | − | 0.236884i | \(-0.923874\pi\) |
0.0749315 | − | 0.997189i | \(-0.476126\pi\) | |||||||
\(380\) | −2.22529 | + | 4.38998i | −0.114155 | + | 0.225201i | ||||
\(381\) | 11.2700 | + | 8.18817i | 0.577382 | + | 0.419492i | ||||
\(382\) | −7.41611 | + | 14.5549i | −0.379441 | + | 0.744695i | ||||
\(383\) | 32.4963 | + | 5.14691i | 1.66048 | + | 0.262995i | 0.914978 | − | 0.403505i | \(-0.132208\pi\) |
0.745506 | + | 0.666499i | \(0.232208\pi\) | |||||||
\(384\) | 0.309017 | + | 0.951057i | 0.0157695 | + | 0.0485334i | ||||
\(385\) | 27.1309 | − | 19.7983i | 1.38272 | − | 1.00901i | ||||
\(386\) | −21.8117 | − | 15.8472i | −1.11019 | − | 0.806599i | ||||
\(387\) | 0.501118 | + | 0.983500i | 0.0254733 | + | 0.0499941i | ||||
\(388\) | 1.26341 | + | 2.47958i | 0.0641398 | + | 0.125881i | ||||
\(389\) | 2.47074 | + | 1.79510i | 0.125272 | + | 0.0910151i | 0.648657 | − | 0.761081i | \(-0.275331\pi\) |
−0.523385 | + | 0.852096i | \(0.675331\pi\) | |||||||
\(390\) | 5.91272 | − | 4.31471i | 0.299402 | − | 0.218484i | ||||
\(391\) | 5.00002 | + | 15.3885i | 0.252862 | + | 0.778229i | ||||
\(392\) | 18.5194 | + | 2.93319i | 0.935372 | + | 0.148148i | ||||
\(393\) | 2.39064 | − | 4.69190i | 0.120592 | − | 0.236675i | ||||
\(394\) | −4.50141 | − | 3.27047i | −0.226778 | − | 0.164764i | ||||
\(395\) | −6.66646 | + | 13.1514i | −0.335426 | + | 0.661718i | ||||
\(396\) | −1.73984 | − | 2.39468i | −0.0874301 | − | 0.120337i | ||||
\(397\) | −12.5497 | − | 12.5497i | −0.629853 | − | 0.629853i | 0.318178 | − | 0.948031i | \(-0.396929\pi\) |
−0.948031 | + | 0.318178i | \(0.896929\pi\) | |||||||
\(398\) | 2.42390 | + | 2.42390i | 0.121499 | + | 0.121499i | ||||
\(399\) | 9.03618 | − | 6.56517i | 0.452375 | − | 0.328669i | ||||
\(400\) | −0.0208491 | − | 4.99996i | −0.00104245 | − | 0.249998i | ||||
\(401\) | 23.8715 | − | 7.75633i | 1.19209 | − | 0.387333i | 0.355244 | − | 0.934774i | \(-0.384398\pi\) |
0.836844 | + | 0.547441i | \(0.184398\pi\) | |||||||
\(402\) | −5.03781 | + | 5.03781i | −0.251263 | + | 0.251263i | ||||
\(403\) | −4.60366 | − | 17.6347i | −0.229325 | − | 0.878448i | ||||
\(404\) | 8.23122i | 0.409519i | ||||||||
\(405\) | −1.99023 | + | 1.01931i | −0.0988953 | + | 0.0506497i | ||||
\(406\) | 1.44369 | + | 0.469085i | 0.0716493 | + | 0.0232803i | ||||
\(407\) | −21.7843 | − | 3.45029i | −1.07981 | − | 0.171024i | ||||
\(408\) | −4.46682 | + | 4.46682i | −0.221140 | + | 0.221140i | ||||
\(409\) | 14.3530 | 0.709709 | 0.354855 | − | 0.934921i | \(-0.384530\pi\) | ||||
0.354855 | + | 0.934921i | \(0.384530\pi\) | |||||||
\(410\) | 0.0490173 | + | 23.5104i | 0.00242079 | + | 1.16110i | ||||
\(411\) | −6.99129 | − | 5.07947i | −0.344855 | − | 0.250552i | ||||
\(412\) | −1.36760 | − | 8.63471i | −0.0673770 | − | 0.425402i | ||||
\(413\) | 2.28547 | + | 1.16451i | 0.112461 | + | 0.0573016i | ||||
\(414\) | 2.07221 | − | 1.50555i | 0.101844 | − | 0.0739937i | ||||
\(415\) | 28.4442 | + | 9.17656i | 1.39627 | + | 0.450460i | ||||
\(416\) | −3.11322 | − | 1.01155i | −0.152638 | − | 0.0495952i | ||||
\(417\) | 2.26024 | + | 14.2706i | 0.110684 | + | 0.698832i | ||||
\(418\) | −5.80506 | + | 2.95783i | −0.283935 | + | 0.144672i | ||||
\(419\) | −4.37750 | − | 1.42234i | −0.213855 | − | 0.0694856i | 0.200130 | − | 0.979769i | \(-0.435863\pi\) |
−0.413985 | + | 0.910284i | \(0.635863\pi\) | |||||||
\(420\) | −5.13028 | + | 10.1208i | −0.250332 | + | 0.493847i | ||||
\(421\) | 7.62755 | − | 23.4752i | 0.371744 | − | 1.14411i | −0.573905 | − | 0.818922i | \(-0.694572\pi\) |
0.945649 | − | 0.325189i | \(-0.105428\pi\) | |||||||
\(422\) | 3.65639 | − | 7.17607i | 0.177990 | − | 0.349326i | ||||
\(423\) | 1.97892 | − | 12.4944i | 0.0962185 | − | 0.607500i | ||||
\(424\) | −1.43048 | − | 4.40257i | −0.0694703 | − | 0.213808i | ||||
\(425\) | 28.0826 | − | 14.4566i | 1.36220 | − | 0.701248i | ||||
\(426\) | 7.21729 | − | 9.93374i | 0.349679 | − | 0.481291i | ||||
\(427\) | 6.82253 | − | 43.0758i | 0.330165 | − | 2.08458i | ||||
\(428\) | 1.60971 | − | 1.60971i | 0.0778081 | − | 0.0778081i | ||||
\(429\) | 9.68933 | 0.467805 | ||||||||
\(430\) | −1.74163 | + | 1.74891i | −0.0839889 | + | 0.0843399i | ||||
\(431\) | −3.71734 | + | 11.4408i | −0.179058 | + | 0.551084i | −0.999796 | − | 0.0202217i | \(-0.993563\pi\) |
0.820738 | + | 0.571305i | \(0.193563\pi\) | |||||||
\(432\) | 0.891007 | + | 0.453990i | 0.0428686 | + | 0.0218426i | ||||
\(433\) | 10.5161 | + | 10.5161i | 0.505372 | + | 0.505372i | 0.913102 | − | 0.407731i | \(-0.133680\pi\) |
−0.407731 | + | 0.913102i | \(0.633680\pi\) | |||||||
\(434\) | 18.7696 | + | 21.1178i | 0.900970 | + | 1.01369i | ||||
\(435\) | −0.392042 | + | 0.541972i | −0.0187970 | + | 0.0259856i | ||||
\(436\) | 4.77900 | + | 14.7082i | 0.228872 | + | 0.704397i | ||||
\(437\) | −2.55952 | − | 5.02335i | −0.122439 | − | 0.240299i | ||||
\(438\) | −0.645679 | + | 4.07666i | −0.0308517 | + | 0.194790i | ||||
\(439\) | 19.3519i | 0.923617i | 0.886980 | + | 0.461808i | \(0.152799\pi\) | ||||
−0.886980 | + | 0.461808i | \(0.847201\pi\) | |||||||
\(440\) | 3.87922 | − | 5.36276i | 0.184935 | − | 0.255660i | ||||
\(441\) | 15.1693 | − | 11.0211i | 0.722347 | − | 0.524816i | ||||
\(442\) | −3.23482 | − | 20.4238i | −0.153865 | − | 0.971462i | ||||
\(443\) | 19.5884 | − | 3.10249i | 0.930671 | − | 0.147404i | 0.327351 | − | 0.944903i | \(-0.393844\pi\) |
0.603320 | + | 0.797499i | \(0.293844\pi\) | |||||||
\(444\) | 7.08663 | − | 2.30258i | 0.336316 | − | 0.109276i | ||||
\(445\) | 13.3841 | + | 13.3284i | 0.634465 | + | 0.631825i | ||||
\(446\) | −15.7564 | + | 5.11956i | −0.746087 | + | 0.242418i | ||||
\(447\) | 9.11494 | + | 17.8891i | 0.431122 | + | 0.846124i | ||||
\(448\) | 5.01200 | − | 0.793822i | 0.236795 | − | 0.0375046i | ||||
\(449\) | 10.4001 | − | 32.0082i | 0.490810 | − | 1.51056i | −0.332576 | − | 0.943077i | \(-0.607918\pi\) |
0.823386 | − | 0.567482i | \(-0.192082\pi\) | |||||||
\(450\) | −3.55025 | − | 3.52076i | −0.167360 | − | 0.165970i | ||||
\(451\) | −18.2930 | + | 25.1781i | −0.861383 | + | 1.18559i | ||||
\(452\) | −15.9130 | + | 8.10808i | −0.748485 | + | 0.381372i | ||||
\(453\) | −1.92043 | − | 0.978509i | −0.0902298 | − | 0.0459744i | ||||
\(454\) | −13.4584 | − | 18.5239i | −0.631635 | − | 0.869371i | ||||
\(455\) | −16.9316 | − | 33.0596i | −0.793768 | − | 1.54986i | ||||
\(456\) | 1.29376 | − | 1.78071i | 0.0605860 | − | 0.0833895i | ||||
\(457\) | 16.5531 | − | 2.62176i | 0.774323 | − | 0.122641i | 0.243247 | − | 0.969964i | \(-0.421788\pi\) |
0.531077 | + | 0.847324i | \(0.321788\pi\) | |||||||
\(458\) | −3.08718 | − | 0.488961i | −0.144254 | − | 0.0228476i | ||||
\(459\) | 6.31704i | 0.294854i | ||||||||
\(460\) | 4.64061 | + | 3.35684i | 0.216370 | + | 0.156514i | ||||
\(461\) | 19.2339 | + | 26.4732i | 0.895814 | + | 1.23298i | 0.971784 | + | 0.235872i | \(0.0757945\pi\) |
−0.0759707 | + | 0.997110i | \(0.524206\pi\) | |||||||
\(462\) | −13.3832 | + | 6.81910i | −0.622645 | + | 0.317253i | ||||
\(463\) | −2.58238 | + | 5.06821i | −0.120014 | + | 0.235540i | −0.943196 | − | 0.332237i | \(-0.892197\pi\) |
0.823182 | + | 0.567777i | \(0.192197\pi\) | |||||||
\(464\) | 0.299142 | 0.0138873 | ||||||||
\(465\) | −11.3955 | + | 5.01423i | −0.528454 | + | 0.232529i | ||||
\(466\) | −6.88750 | −0.319057 | ||||||||
\(467\) | 0.310123 | − | 0.608651i | 0.0143508 | − | 0.0281650i | −0.883720 | − | 0.468016i | \(-0.844969\pi\) |
0.898071 | + | 0.439851i | \(0.144969\pi\) | |||||||
\(468\) | −2.91665 | + | 1.48611i | −0.134822 | + | 0.0686954i | ||||
\(469\) | 21.2504 | + | 29.2486i | 0.981251 | + | 1.35058i | ||||
\(470\) | 27.9291 | − | 4.48325i | 1.28827 | − | 0.206797i | ||||
\(471\) | − | 2.56142i | − | 0.118024i | ||||||
\(472\) | 0.499257 | + | 0.0790745i | 0.0229802 | + | 0.00363970i | ||||
\(473\) | −3.22703 | + | 0.511111i | −0.148379 | + | 0.0235009i | ||||
\(474\) | 3.87583 | − | 5.33462i | 0.178023 | − | 0.245027i | ||||
\(475\) | −8.87651 | + | 6.50589i | −0.407282 | + | 0.298511i | ||||
\(476\) | 18.8418 | + | 25.9335i | 0.863613 | + | 1.18866i | ||||
\(477\) | −4.12459 | − | 2.10158i | −0.188852 | − | 0.0962249i | ||||
\(478\) | 6.56772 | − | 3.34642i | 0.300401 | − | 0.153062i | ||||
\(479\) | 1.79717 | − | 2.47359i | 0.0821146 | − | 0.113021i | −0.765984 | − | 0.642860i | \(-0.777748\pi\) |
0.848098 | + | 0.529839i | \(0.177748\pi\) | |||||||
\(480\) | −0.345193 | + | 2.20926i | −0.0157558 | + | 0.100839i | ||||
\(481\) | −7.53736 | + | 23.1976i | −0.343674 | + | 1.05772i | ||||
\(482\) | 24.9567 | − | 3.95275i | 1.13675 | − | 0.180043i | ||||
\(483\) | −5.90084 | − | 11.5811i | −0.268498 | − | 0.526956i | ||||
\(484\) | −2.12892 | + | 0.691729i | −0.0967692 | + | 0.0314422i | ||||
\(485\) | 0.0129739 | + | 6.22272i | 0.000589113 | + | 0.282559i | ||||
\(486\) | 0.951057 | − | 0.309017i | 0.0431408 | − | 0.0140173i | ||||
\(487\) | −14.7280 | + | 2.33268i | −0.667388 | + | 0.105704i | −0.480930 | − | 0.876759i | \(-0.659701\pi\) |
−0.186458 | + | 0.982463i | \(0.559701\pi\) | |||||||
\(488\) | −1.34448 | − | 8.48872i | −0.0608618 | − | 0.384266i | ||||
\(489\) | −2.27058 | + | 1.64967i | −0.102679 | + | 0.0746008i | ||||
\(490\) | 33.9709 | + | 24.5732i | 1.53465 | + | 1.11011i | ||||
\(491\) | − | 33.6538i | − | 1.51877i | −0.650639 | − | 0.759387i | \(-0.725499\pi\) | ||
0.650639 | − | 0.759387i | \(-0.274501\pi\) | |||||||
\(492\) | 1.64478 | − | 10.3848i | 0.0741526 | − | 0.468181i | ||||
\(493\) | 0.857903 | + | 1.68373i | 0.0386380 | + | 0.0758313i | ||||
\(494\) | 2.22650 | + | 6.85246i | 0.100175 | + | 0.308307i | ||||
\(495\) | −1.04902 | − | 6.53507i | −0.0471502 | − | 0.293730i | ||||
\(496\) | 4.80379 | + | 2.81489i | 0.215697 | + | 0.126392i | ||||
\(497\) | −44.0586 | − | 44.0586i | −1.97630 | − | 1.97630i | ||||
\(498\) | −11.9094 | − | 6.06815i | −0.533673 | − | 0.271920i | ||||
\(499\) | −12.9825 | + | 39.9561i | −0.581177 | + | 1.78868i | 0.0329321 | + | 0.999458i | \(0.489515\pi\) |
−0.614109 | + | 0.789221i | \(0.710485\pi\) | |||||||
\(500\) | 5.01336 | − | 9.99331i | 0.224204 | − | 0.446914i | ||||
\(501\) | −10.4987 | −0.469048 | ||||||||
\(502\) | 9.46693 | − | 9.46693i | 0.422530 | − | 0.422530i | ||||
\(503\) | −0.799881 | + | 5.05025i | −0.0356649 | + | 0.225180i | −0.999083 | − | 0.0428249i | \(-0.986364\pi\) |
0.963418 | + | 0.268005i | \(0.0863642\pi\) | |||||||
\(504\) | 2.98270 | − | 4.10533i | 0.132860 | − | 0.182866i | ||||
\(505\) | −8.32174 | + | 16.4169i | −0.370313 | + | 0.730541i | ||||
\(506\) | 2.34287 | + | 7.21061i | 0.104153 | + | 0.320551i | ||||
\(507\) | −0.357392 | + | 2.25648i | −0.0158723 | + | 0.100214i | ||||
\(508\) | 6.32433 | − | 12.4122i | 0.280597 | − | 0.550702i | ||||
\(509\) | 4.64181 | − | 14.2860i | 0.205745 | − | 0.633217i | −0.793937 | − | 0.608000i | \(-0.791972\pi\) |
0.999682 | − | 0.0252173i | \(-0.00802777\pi\) | |||||||
\(510\) | −13.4248 | + | 4.39296i | −0.594462 | + | 0.194524i | ||||
\(511\) | 19.9196 | + | 6.47228i | 0.881193 | + | 0.286317i | ||||
\(512\) | 0.891007 | − | 0.453990i | 0.0393773 | − | 0.0200637i | ||||
\(513\) | −0.344325 | − | 2.17398i | −0.0152023 | − | 0.0959837i | ||||
\(514\) | −9.51149 | − | 3.09047i | −0.419534 | − | 0.136315i | ||||
\(515\) | 6.00204 | − | 18.6043i | 0.264481 | − | 0.819801i | ||||
\(516\) | 0.892999 | − | 0.648802i | 0.0393121 | − | 0.0285619i | ||||
\(517\) | 33.3631 | + | 16.9994i | 1.46731 | + | 0.747631i | ||||
\(518\) | −5.91502 | − | 37.3460i | −0.259891 | − | 1.64089i | ||||
\(519\) | 6.97797 | + | 5.06979i | 0.306299 | + | 0.222539i | ||||
\(520\) | −5.18654 | − | 5.16496i | −0.227445 | − | 0.226498i | ||||
\(521\) | 6.97752 | 0.305691 | 0.152845 | − | 0.988250i | \(-0.451156\pi\) | ||||
0.152845 | + | 0.988250i | \(0.451156\pi\) | |||||||
\(522\) | 0.211526 | − | 0.211526i | 0.00925823 | − | 0.00925823i | ||||
\(523\) | −0.134238 | − | 0.0212613i | −0.00586983 | − | 0.000929690i | 0.153499 | − | 0.988149i | \(-0.450946\pi\) |
−0.159369 | + | 0.987219i | \(0.550946\pi\) | |||||||
\(524\) | −5.00811 | − | 1.62723i | −0.218780 | − | 0.0710861i | ||||
\(525\) | −20.4643 | + | 14.9990i | −0.893136 | + | 0.654608i | ||||
\(526\) | − | 16.9537i | − | 0.739218i | ||||||
\(527\) | −2.06696 | + | 35.1110i | −0.0900384 | + | 1.52946i | ||||
\(528\) | −2.09303 | + | 2.09303i | −0.0910873 | + | 0.0910873i | ||||
\(529\) | 15.6347 | − | 5.08001i | 0.679768 | − | 0.220870i | ||||
\(530\) | 1.59794 | − | 10.2270i | 0.0694103 | − | 0.444232i | ||||
\(531\) | 0.408942 | − | 0.297114i | 0.0177466 | − | 0.0128936i | ||||
\(532\) | −7.89791 | − | 7.89791i | −0.342418 | − | 0.342418i | ||||
\(533\) | 24.3369 | + | 24.3369i | 1.05415 | + | 1.05415i | ||||
\(534\) | −4.96516 | − | 6.83395i | −0.214863 | − | 0.295734i | ||||
\(535\) | 4.83791 | − | 1.58309i | 0.209161 | − | 0.0684430i | ||||
\(536\) | 5.76387 | + | 4.18770i | 0.248961 | + | 0.180881i | ||||
\(537\) | −1.74311 | + | 3.42105i | −0.0752208 | + | 0.147629i | ||||
\(538\) | 17.7616 | + | 2.81317i | 0.765758 | + | 0.121284i | ||||
\(539\) | 17.1506 | + | 52.7842i | 0.738729 | + | 2.27357i | ||||
\(540\) | 1.31810 | + | 1.80627i | 0.0567218 | + | 0.0777296i | ||||
\(541\) | 10.7632 | + | 7.81991i | 0.462745 | + | 0.336204i | 0.794607 | − | 0.607124i | \(-0.207677\pi\) |
−0.331862 | + | 0.943328i | \(0.607677\pi\) | |||||||
\(542\) | −2.81410 | − | 5.52298i | −0.120876 | − | 0.237232i | ||||
\(543\) | −7.46863 | − | 14.6580i | −0.320509 | − | 0.629035i | ||||
\(544\) | 5.11059 | + | 3.71306i | 0.219115 | + | 0.159196i | ||||
\(545\) | −5.33846 | + | 34.1666i | −0.228674 | + | 1.46354i | ||||
\(546\) | 5.13307 | + | 15.7980i | 0.219675 | + | 0.676091i | ||||
\(547\) | 4.91411 | + | 0.778319i | 0.210112 | + | 0.0332785i | 0.260603 | − | 0.965446i | \(-0.416079\pi\) |
−0.0504908 | + | 0.998725i | \(0.516079\pi\) | |||||||
\(548\) | −3.92325 | + | 7.69982i | −0.167593 | + | 0.328920i | ||||
\(549\) | −6.95312 | − | 5.05174i | −0.296752 | − | 0.215603i | ||||
\(550\) | 13.1587 | − | 6.77396i | 0.561089 | − | 0.288842i | ||||
\(551\) | −0.387020 | − | 0.532687i | −0.0164876 | − | 0.0226932i | ||||
\(552\) | −1.81118 | − | 1.81118i | −0.0770889 | − | 0.0770889i | ||||
\(553\) | −23.6604 | − | 23.6604i | −1.00614 | − | 1.00614i | ||||
\(554\) | 6.39181 | − | 4.64392i | 0.271562 | − | 0.197301i | ||||
\(555\) | 16.4619 | + | 2.57214i | 0.698770 | + | 0.109181i | ||||
\(556\) | 13.7413 | − | 4.46482i | 0.582761 | − | 0.189350i | ||||
\(557\) | −23.9267 | + | 23.9267i | −1.01381 | + | 1.01381i | −0.0139030 | + | 0.999903i | \(0.504426\pi\) |
−0.999903 | + | 0.0139030i | \(0.995574\pi\) | |||||||
\(558\) | 5.38722 | − | 1.40637i | 0.228059 | − | 0.0595364i | ||||
\(559\) | 3.61325i | 0.152824i | ||||||||
\(560\) | 10.7988 | + | 3.48387i | 0.456332 | + | 0.147220i | ||||
\(561\) | −17.7832 | − | 5.77810i | −0.750806 | − | 0.243952i | ||||
\(562\) | −5.09323 | − | 0.806689i | −0.214845 | − | 0.0340281i | ||||
\(563\) | 31.5772 | − | 31.5772i | 1.33082 | − | 1.33082i | 0.426185 | − | 0.904636i | \(-0.359857\pi\) |
0.904636 | − | 0.426185i | \(-0.140143\pi\) | |||||||
\(564\) | −12.6502 | −0.532668 | ||||||||
\(565\) | −39.9352 | + | 0.0832616i | −1.68009 | + | 0.00350284i | ||||
\(566\) | −2.84016 | − | 2.06349i | −0.119381 | − | 0.0867352i | ||||
\(567\) | −0.793822 | − | 5.01200i | −0.0333374 | − | 0.210484i | ||||
\(568\) | −10.9405 | − | 5.57445i | −0.459052 | − | 0.233899i | ||||
\(569\) | −31.4055 | + | 22.8174i | −1.31659 | + | 0.956555i | −0.316617 | + | 0.948553i | \(0.602547\pi\) |
−0.999968 | + | 0.00800169i | \(0.997453\pi\) | |||||||
\(570\) | 4.38066 | − | 2.24357i | 0.183486 | − | 0.0939730i | ||||
\(571\) | −9.76005 | − | 3.17123i | −0.408445 | − | 0.132712i | 0.0975859 | − | 0.995227i | \(-0.468888\pi\) |
−0.506031 | + | 0.862515i | \(0.668888\pi\) | |||||||
\(572\) | −1.51574 | − | 9.57004i | −0.0633765 | − | 0.400143i | ||||
\(573\) | 14.5549 | − | 7.41611i | 0.608041 | − | 0.309813i | ||||
\(574\) | −50.7427 | − | 16.4873i | −2.11796 | − | 0.688167i | ||||
\(575\) | 5.86177 | + | 11.3867i | 0.244453 | + | 0.474860i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | −13.9516 | + | 27.3816i | −0.580813 | + | 1.13991i | 0.394462 | + | 0.918912i | \(0.370931\pi\) |
−0.975275 | + | 0.220997i | \(0.929069\pi\) | |||||||
\(578\) | −3.58312 | + | 22.6229i | −0.149038 | + | 0.940990i | ||||
\(579\) | 8.33134 | + | 25.6412i | 0.346239 | + | 1.06561i | ||||
\(580\) | 0.596629 | + | 0.302432i | 0.0247737 | + | 0.0125578i | ||||
\(581\) | −39.8675 | + | 54.8729i | −1.65398 | + | 2.27651i | ||||
\(582\) | 0.435340 | − | 2.74863i | 0.0180454 | − | 0.113934i | ||||
\(583\) | 9.68891 | − | 9.68891i | 0.401273 | − | 0.401273i | ||||
\(584\) | 4.12747 | 0.170796 | ||||||||
\(585\) | −7.31961 | + | 0.0152608i | −0.302629 | + | 0.000630956i | ||||
\(586\) | −0.479089 | + | 1.47449i | −0.0197910 | + | 0.0609104i | ||||
\(587\) | −4.77945 | − | 2.43525i | −0.197269 | − | 0.100514i | 0.352566 | − | 0.935787i | \(-0.385309\pi\) |
−0.549835 | + | 0.835273i | \(0.685309\pi\) | |||||||
\(588\) | −13.2584 | − | 13.2584i | −0.546769 | − | 0.546769i | ||||
\(589\) | −1.20247 | − | 12.1960i | −0.0495469 | − | 0.502526i | ||||
\(590\) | 0.915805 | + | 0.662459i | 0.0377031 | + | 0.0272730i | ||||
\(591\) | 1.71939 | + | 5.29173i | 0.0707261 | + | 0.217673i | ||||
\(592\) | −3.38283 | − | 6.63917i | −0.139033 | − | 0.272868i | ||||
\(593\) | −0.938650 | + | 5.92640i | −0.0385457 | + | 0.243368i | −0.999437 | − | 0.0335586i | \(-0.989316\pi\) |
0.960891 | + | 0.276927i | \(0.0893160\pi\) | |||||||
\(594\) | 2.95999i | 0.121450i | ||||||||
\(595\) | 11.3606 | + | 70.7725i | 0.465738 | + | 2.90139i | ||||
\(596\) | 16.2429 | − | 11.8012i | 0.665337 | − | 0.483396i | ||||
\(597\) | −0.536244 | − | 3.38571i | −0.0219470 | − | 0.138568i | ||||
\(598\) | 8.28133 | − | 1.31163i | 0.338649 | − | 0.0536367i | ||||
\(599\) | −0.104082 | + | 0.0338183i | −0.00425268 | + | 0.00138178i | −0.311143 | − | 0.950363i | \(-0.600712\pi\) |
0.306890 | + | 0.951745i | \(0.400712\pi\) | |||||||
\(600\) | −2.92203 | + | 4.05730i | −0.119292 | + | 0.165639i | ||||
\(601\) | 19.4901 | − | 6.33270i | 0.795016 | − | 0.258316i | 0.116777 | − | 0.993158i | \(-0.462744\pi\) |
0.678239 | + | 0.734842i | \(0.262744\pi\) | |||||||
\(602\) | −2.54291 | − | 4.99074i | −0.103641 | − | 0.203408i | ||||
\(603\) | 7.03682 | − | 1.11452i | 0.286562 | − | 0.0453869i | ||||
\(604\) | −0.666040 | + | 2.04986i | −0.0271008 | + | 0.0834077i | ||||
\(605\) | −4.94539 | − | 0.772708i | −0.201059 | − | 0.0314150i | ||||
\(606\) | 4.83819 | − | 6.65920i | 0.196538 | − | 0.270511i | ||||
\(607\) | −22.0872 | + | 11.2540i | −0.896490 | + | 0.456784i | −0.840602 | − | 0.541653i | \(-0.817799\pi\) |
−0.0558876 | + | 0.998437i | \(0.517799\pi\) | |||||||
\(608\) | −1.96118 | − | 0.999270i | −0.0795363 | − | 0.0405258i | ||||
\(609\) | −0.892252 | − | 1.22808i | −0.0361559 | − | 0.0497643i | ||||
\(610\) | 5.90055 | − | 18.2897i | 0.238906 | − | 0.740528i | ||||
\(611\) | 24.3399 | − | 33.5010i | 0.984687 | − | 1.35531i | ||||
\(612\) | 6.23926 | − | 0.988202i | 0.252207 | − | 0.0399457i | ||||
\(613\) | 17.1403 | + | 2.71476i | 0.692290 | + | 0.109648i | 0.492658 | − | 0.870223i | \(-0.336025\pi\) |
0.199632 | + | 0.979871i | \(0.436025\pi\) | |||||||
\(614\) | − | 30.8357i | − | 1.24443i | ||||||
\(615\) | 13.7794 | − | 19.0491i | 0.555640 | − | 0.768136i | ||||
\(616\) | 8.82875 | + | 12.1517i | 0.355721 | + | 0.489607i | ||||
\(617\) | 25.0194 | − | 12.7480i | 1.00724 | − | 0.513217i | 0.129110 | − | 0.991630i | \(-0.458788\pi\) |
0.878135 | + | 0.478414i | \(0.158788\pi\) | |||||||
\(618\) | −3.96894 | + | 7.78948i | −0.159654 | + | 0.313339i | ||||
\(619\) | 7.75974 | 0.311890 | 0.155945 | − | 0.987766i | \(-0.450158\pi\) | ||||
0.155945 | + | 0.987766i | \(0.450158\pi\) | |||||||
\(620\) | 6.73515 | + | 10.4708i | 0.270490 | + | 0.420518i | ||||
\(621\) | −2.56139 | −0.102785 | ||||||||
\(622\) | 7.40142 | − | 14.5261i | 0.296770 | − | 0.582444i | ||||
\(623\) | −38.1932 | + | 19.4604i | −1.53018 | + | 0.779665i | ||||
\(624\) | 1.92408 | + | 2.64827i | 0.0770248 | + | 0.106015i | ||||
\(625\) | 20.1022 | − | 14.8628i | 0.804087 | − | 0.594512i | ||||
\(626\) | − | 5.51904i | − | 0.220585i | ||||||
\(627\) | 6.43496 | + | 1.01920i | 0.256988 | + | 0.0407028i | ||||
\(628\) | −2.52989 | + | 0.400695i | −0.100953 | + | 0.0159895i | ||||
\(629\) | 27.6672 | − | 38.0806i | 1.10316 | − | 1.51837i | ||||
\(630\) | 10.0994 | − | 5.17244i | 0.402369 | − | 0.206075i | ||||
\(631\) | −27.4803 | − | 37.8234i | −1.09397 | − | 1.50573i | −0.843138 | − | 0.537697i | \(-0.819294\pi\) |
−0.250836 | − | 0.968030i | \(-0.580706\pi\) | |||||||
\(632\) | −5.87525 | − | 2.99359i | −0.233705 | − | 0.119079i | ||||
\(633\) | −7.17607 | + | 3.65639i | −0.285223 | + | 0.145329i | ||||
\(634\) | −1.82620 | + | 2.51355i | −0.0725277 | + | 0.0998259i | ||||
\(635\) | 25.1624 | − | 18.3618i | 0.998538 | − | 0.728666i | ||||
\(636\) | −1.43048 | + | 4.40257i | −0.0567223 | + | 0.174573i | ||||
\(637\) | 60.6222 | − | 9.60161i | 2.40194 | − | 0.380430i | ||||
\(638\) | 0.401989 | + | 0.788948i | 0.0159149 | + | 0.0312348i | ||||
\(639\) | −11.6778 | + | 3.79435i | −0.461967 | + | 0.150102i | ||||
\(640\) | 2.23606 | − | 0.00466201i | 0.0883882 | − | 0.000184282i | ||||
\(641\) | −33.1561 | + | 10.7731i | −1.30959 | + | 0.425510i | −0.878906 | − | 0.476995i | \(-0.841726\pi\) |
−0.430680 | + | 0.902505i | \(0.641726\pi\) | |||||||
\(642\) | −2.24844 | + | 0.356118i | −0.0887390 | + | 0.0140549i | ||||
\(643\) | 1.24854 | + | 7.88299i | 0.0492377 | + | 0.310875i | 1.00000 | 0.000952265i | \(0.000303115\pi\) | |
−0.950762 | + | 0.309923i | \(0.899697\pi\) | |||||||
\(644\) | −10.5154 | + | 7.63987i | −0.414364 | + | 0.301053i | ||||
\(645\) | 2.43699 | − | 0.391192i | 0.0959565 | − | 0.0154032i | ||||
\(646\) | − | 13.9043i | − | 0.547058i | ||||||
\(647\) | 1.39056 | − | 8.77963i | 0.0546684 | − | 0.345163i | −0.945159 | − | 0.326609i | \(-0.894094\pi\) |
0.999828 | − | 0.0185535i | \(-0.00590611\pi\) | |||||||
\(648\) | −0.453990 | − | 0.891007i | −0.0178344 | − | 0.0350020i | ||||
\(649\) | 0.462356 | + | 1.42298i | 0.0181490 | + | 0.0558570i | ||||
\(650\) | −5.12260 | − | 15.5449i | −0.200925 | − | 0.609721i | ||||
\(651\) | −2.77223 | − | 28.1171i | −0.108652 | − | 1.10200i | ||||
\(652\) | 1.98456 | + | 1.98456i | 0.0777214 | + | 0.0777214i | ||||
\(653\) | 10.1713 | + | 5.18253i | 0.398033 | + | 0.202808i | 0.641537 | − | 0.767092i | \(-0.278297\pi\) |
−0.243504 | + | 0.969900i | \(0.578297\pi\) | |||||||
\(654\) | 4.77900 | − | 14.7082i | 0.186874 | − | 0.575138i | ||||
\(655\) | −8.34337 | − | 8.30865i | −0.326002 | − | 0.324646i | ||||
\(656\) | −10.5142 | −0.410511 | ||||||||
\(657\) | 2.91856 | − | 2.91856i | 0.113864 | − | 0.113864i | ||||
\(658\) | −10.0420 | + | 63.4026i | −0.391477 | + | 2.47169i | ||||
\(659\) | 11.6490 | − | 16.0335i | 0.453780 | − | 0.624575i | −0.519424 | − | 0.854517i | \(-0.673853\pi\) |
0.973204 | + | 0.229941i | \(0.0738535\pi\) | |||||||
\(660\) | −6.29051 | + | 2.05842i | −0.244858 | + | 0.0801239i | ||||
\(661\) | −14.3189 | − | 44.0689i | −0.556939 | − | 1.71408i | −0.690767 | − | 0.723077i | \(-0.742727\pi\) |
0.133828 | − | 0.991005i | \(-0.457273\pi\) | |||||||
\(662\) | 3.29780 | − | 20.8215i | 0.128172 | − | 0.809249i | ||||
\(663\) | −9.38780 | + | 18.4246i | −0.364592 | + | 0.715552i | ||||
\(664\) | −4.13040 | + | 12.7120i | −0.160290 | + | 0.493323i | ||||
\(665\) | −7.76732 | − | 23.7369i | −0.301204 | − | 0.920476i | ||||
\(666\) | −7.08663 | − | 2.30258i | −0.274601 | − | 0.0892233i | ||||
\(667\) | −0.682708 | + | 0.347857i | −0.0264346 | + | 0.0134691i | ||||
\(668\) | 1.64236 | + | 10.3695i | 0.0635449 | + | 0.401207i | ||||
\(669\) | 15.7564 | + | 5.11956i | 0.609177 | + | 0.197934i | ||||
\(670\) | 7.26208 | + | 14.1795i | 0.280559 | + | 0.547801i | ||||
\(671\) | 20.5811 | − | 14.9531i | 0.794526 | − | 0.577257i | ||||
\(672\) | −4.52139 | − | 2.30376i | −0.174416 | − | 0.0888696i | ||||
\(673\) | −6.70455 | − | 42.3309i | −0.258442 | − | 1.63174i | −0.685897 | − | 0.727699i | \(-0.740590\pi\) |
0.427455 | − | 0.904037i | \(-0.359410\pi\) | |||||||
\(674\) | −12.8977 | − | 9.37070i | −0.496800 | − | 0.360946i | ||||
\(675\) | 0.802758 | + | 4.93514i | 0.0308982 | + | 0.189954i | ||||
\(676\) | 2.28461 | 0.0878697 | ||||||||
\(677\) | −10.4888 | + | 10.4888i | −0.403118 | + | 0.403118i | −0.879330 | − | 0.476212i | \(-0.842009\pi\) |
0.476212 | + | 0.879330i | \(0.342009\pi\) | |||||||
\(678\) | 17.6397 | + | 2.79386i | 0.677449 | + | 0.107297i | ||||
\(679\) | −13.4305 | − | 4.36385i | −0.515417 | − | 0.167469i | ||||
\(680\) | 6.43899 | + | 12.5724i | 0.246924 | + | 0.482128i | ||||
\(681\) | 22.8968i | 0.877408i | ||||||||
\(682\) | −0.968522 | + | 16.4520i | −0.0370866 | + | 0.629980i | ||||
\(683\) | −10.3605 | + | 10.3605i | −0.396435 | + | 0.396435i | −0.876974 | − | 0.480539i | \(-0.840441\pi\) |
0.480539 | + | 0.876974i | \(0.340441\pi\) | |||||||
\(684\) | −2.09335 | + | 0.680172i | −0.0800414 | + | 0.0260070i | ||||
\(685\) | −15.6093 | + | 11.3906i | −0.596400 | + | 0.435213i | ||||
\(686\) | −48.2388 | + | 35.0475i | −1.84177 | + | 1.33812i | ||||
\(687\) | 2.21017 | + | 2.21017i | 0.0843234 | + | 0.0843234i | ||||
\(688\) | −0.780510 | − | 0.780510i | −0.0297567 | − | 0.0297567i | ||||
\(689\) | −8.90682 | − | 12.2592i | −0.339323 | − | 0.467038i | ||||
\(690\) | −1.78123 | − | 5.44343i | −0.0678103 | − | 0.207228i | ||||
\(691\) | 11.1851 | + | 8.12645i | 0.425501 | + | 0.309145i | 0.779848 | − | 0.625969i | \(-0.215297\pi\) |
−0.354346 | + | 0.935114i | \(0.615297\pi\) | |||||||
\(692\) | 3.91578 | − | 7.68515i | 0.148856 | − | 0.292145i | ||||
\(693\) | 14.8354 | + | 2.34970i | 0.563552 | + | 0.0892579i | ||||
\(694\) | 9.76253 | + | 30.0460i | 0.370580 | + | 1.14053i | ||||
\(695\) | 31.9204 | + | 4.98750i | 1.21081 | + | 0.189187i | ||||
\(696\) | −0.242011 | − | 0.175832i | −0.00917342 | − | 0.00666488i | ||||
\(697\) | −30.1534 | − | 59.1794i | −1.14214 | − | 2.24158i | ||||
\(698\) | −16.5179 | − | 32.4182i | −0.625212 | − | 1.22705i | ||||
\(699\) | 5.57210 | + | 4.04837i | 0.210756 | + | 0.153123i | ||||
\(700\) | 18.0156 | + | 17.8660i | 0.680927 | + | 0.675271i | ||||
\(701\) | −1.62038 | − | 4.98701i | −0.0612008 | − | 0.188357i | 0.915782 | − | 0.401676i | \(-0.131572\pi\) |
−0.976982 | + | 0.213320i | \(0.931572\pi\) | |||||||
\(702\) | 3.23314 | + | 0.512078i | 0.122027 | + | 0.0193272i | ||||
\(703\) | −7.44588 | + | 14.6134i | −0.280827 | + | 0.551154i | ||||
\(704\) | 2.39468 | + | 1.73984i | 0.0902529 | + | 0.0655725i | ||||
\(705\) | −25.2303 | − | 12.7893i | −0.950228 | − | 0.481673i | ||||
\(706\) | −11.5782 | − | 15.9360i | −0.435750 | − | 0.599758i | ||||
\(707\) | −29.5352 | − | 29.5352i | −1.11079 | − | 1.11079i | ||||
\(708\) | −0.357428 | − | 0.357428i | −0.0134330 | − | 0.0134330i | ||||
\(709\) | 25.1934 | − | 18.3041i | 0.946159 | − | 0.687425i | −0.00373621 | − | 0.999993i | \(-0.501189\pi\) |
0.949895 | + | 0.312568i | \(0.101189\pi\) | |||||||
\(710\) | −16.1846 | − | 22.1788i | −0.607398 | − | 0.832356i | ||||
\(711\) | −6.27122 | + | 2.03764i | −0.235189 | + | 0.0764175i | ||||
\(712\) | −5.97309 | + | 5.97309i | −0.223851 | + | 0.223851i | ||||
\(713\) | −14.2366 | − | 0.838100i | −0.533164 | − | 0.0313871i | ||||
\(714\) | − | 32.0556i | − | 1.19965i | ||||||
\(715\) | 6.65219 | − | 20.6195i | 0.248778 | − | 0.771126i | ||||
\(716\) | 3.65161 | + | 1.18648i | 0.136467 | + | 0.0443409i | ||||
\(717\) | −7.28038 | − | 1.15310i | −0.271891 | − | 0.0430632i | ||||
\(718\) | −13.7634 | + | 13.7634i | −0.513644 | + | 0.513644i | ||||
\(719\) | −17.2454 | −0.643146 | −0.321573 | − | 0.946885i | \(-0.604211\pi\) | ||||
−0.321573 | + | 0.946885i | \(0.604211\pi\) | |||||||
\(720\) | 1.57784 | − | 1.58443i | 0.0588026 | − | 0.0590483i | ||||
\(721\) | 35.8902 | + | 26.0758i | 1.33662 | + | 0.971113i | ||||
\(722\) | −2.21437 | − | 13.9810i | −0.0824102 | − | 0.520318i | ||||
\(723\) | −22.5138 | − | 11.4713i | −0.837296 | − | 0.426624i | ||||
\(724\) | −13.3092 | + | 9.66969i | −0.494632 | + | 0.359371i | ||||
\(725\) | 0.884196 | + | 1.20638i | 0.0328382 | + | 0.0448038i | ||||
\(726\) | 2.12892 | + | 0.691729i | 0.0790117 | + | 0.0256725i | ||||
\(727\) | −3.24099 | − | 20.4628i | −0.120202 | − | 0.758923i | −0.971987 | − | 0.235033i | \(-0.924480\pi\) |
0.851786 | − | 0.523890i | \(-0.175520\pi\) | |||||||
\(728\) | 14.8005 | − | 7.54122i | 0.548542 | − | 0.279496i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | 8.23209 | + | 4.17286i | 0.304683 | + | 0.154445i | ||||
\(731\) | 2.15471 | − | 6.63152i | 0.0796949 | − | 0.245276i | ||||
\(732\) | −3.90183 | + | 7.65778i | −0.144216 | + | 0.283040i | ||||
\(733\) | −3.61479 | + | 22.8229i | −0.133515 | + | 0.842983i | 0.826480 | + | 0.562966i | \(0.190340\pi\) |
−0.959995 | + | 0.280017i | \(0.909660\pi\) | |||||||
\(734\) | 4.66511 | + | 14.3577i | 0.172192 | + | 0.529954i | ||||
\(735\) | −13.0392 | − | 39.8477i | −0.480959 | − | 1.46981i | ||||
\(736\) | −1.50555 | + | 2.07221i | −0.0554953 | + | 0.0763827i | ||||
\(737\) | −3.29897 | + | 20.8289i | −0.121519 | + | 0.767242i | ||||
\(738\) | −7.43466 | + | 7.43466i | −0.273674 | + | 0.273674i | ||||
\(739\) | −42.4959 | −1.56324 | −0.781619 | − | 0.623756i | \(-0.785606\pi\) | ||||
−0.781619 | + | 0.623756i | \(0.785606\pi\) | |||||||
\(740\) | −0.0347381 | − | 16.6616i | −0.00127700 | − | 0.612493i | ||||
\(741\) | 2.22650 | − | 6.85246i | 0.0817925 | − | 0.251731i | ||||
\(742\) | 20.9301 | + | 10.6644i | 0.768369 | + | 0.391504i | ||||
\(743\) | 12.2509 | + | 12.2509i | 0.449442 | + | 0.449442i | 0.895169 | − | 0.445727i | \(-0.147055\pi\) |
−0.445727 | + | 0.895169i | \(0.647055\pi\) | |||||||
\(744\) | −2.23180 | − | 5.10089i | −0.0818218 | − | 0.187008i | ||||
\(745\) | 44.3269 | − | 7.11546i | 1.62401 | − | 0.260690i | ||||
\(746\) | 1.86441 | + | 5.73807i | 0.0682609 | + | 0.210085i | ||||
\(747\) | 6.06815 | + | 11.9094i | 0.222022 | + | 0.435742i | ||||
\(748\) | −2.92506 | + | 18.4681i | −0.106951 | + | 0.675262i | ||||
\(749\) | 11.5519i | 0.422097i | ||||||||
\(750\) | −9.92981 | + | 5.13798i | −0.362586 | + | 0.187612i | ||||
\(751\) | 8.54796 | − | 6.21046i | 0.311919 | − | 0.226623i | −0.420800 | − | 0.907153i | \(-0.638251\pi\) |
0.732720 | + | 0.680531i | \(0.238251\pi\) | |||||||
\(752\) | 1.97892 | + | 12.4944i | 0.0721639 | + | 0.455625i | ||||
\(753\) | −13.2234 | + | 2.09438i | −0.481888 | + | 0.0763236i | ||||
\(754\) | 0.931297 | − | 0.302597i | 0.0339158 | − | 0.0110199i | ||||
\(755\) | −3.40080 | + | 3.41501i | −0.123768 | + | 0.124285i | ||||
\(756\) | −4.82611 | + | 1.56810i | −0.175524 | + | 0.0570312i | ||||
\(757\) | 7.26438 | + | 14.2572i | 0.264028 | + | 0.518185i | 0.984519 | − | 0.175280i | \(-0.0560831\pi\) |
−0.720490 | + | 0.693465i | \(0.756083\pi\) | |||||||
\(758\) | 29.3307 | − | 4.64553i | 1.06534 | − | 0.168733i | ||||
\(759\) | 2.34287 | − | 7.21061i | 0.0850408 | − | 0.261729i | ||||
\(760\) | −2.90124 | − | 3.97575i | −0.105239 | − | 0.144216i | ||||
\(761\) | −18.0715 | + | 24.8733i | −0.655091 | + | 0.901655i | −0.999307 | − | 0.0372357i | \(-0.988145\pi\) |
0.344216 | + | 0.938891i | \(0.388145\pi\) | |||||||
\(762\) | −12.4122 | + | 6.32433i | −0.449647 | + | 0.229106i | ||||
\(763\) | −69.9240 | − | 35.6280i | −2.53142 | − | 1.28982i | ||||
\(764\) | −9.60170 | − | 13.2156i | −0.347377 | − | 0.478124i | ||||
\(765\) | 13.4430 | + | 4.33695i | 0.486034 | + | 0.156803i | ||||
\(766\) | −19.3389 | + | 26.6178i | −0.698744 | + | 0.961739i | ||||
\(767\) | 1.63429 | − | 0.258845i | 0.0590106 | − | 0.00934637i | ||||
\(768\) | −0.987688 | − | 0.156434i | −0.0356401 | − | 0.00564484i | ||||
\(769\) | − | 43.6330i | − | 1.57344i | −0.617307 | − | 0.786722i | \(-0.711776\pi\) | ||
0.617307 | − | 0.786722i | \(-0.288224\pi\) | |||||||
\(770\) | 5.32325 | + | 33.1620i | 0.191837 | + | 1.19508i | ||||
\(771\) | 5.87842 | + | 8.09096i | 0.211706 | + | 0.291389i | ||||
\(772\) | 24.0222 | − | 12.2399i | 0.864579 | − | 0.440525i | ||||
\(773\) | −7.42831 | + | 14.5789i | −0.267178 | + | 0.524366i | −0.985148 | − | 0.171708i | \(-0.945071\pi\) |
0.717970 | + | 0.696074i | \(0.245071\pi\) | |||||||
\(774\) | −1.10381 | −0.0396756 | ||||||||
\(775\) | 2.84704 | + | 27.6929i | 0.102269 | + | 0.994757i | ||||
\(776\) | −2.78289 | −0.0999000 | ||||||||
\(777\) | −17.1661 | + | 33.6903i | −0.615829 | + | 1.20863i | ||||
\(778\) | −2.72114 | + | 1.38649i | −0.0975575 | + | 0.0497081i | ||||
\(779\) | 13.6029 | + | 18.7228i | 0.487374 | + | 0.670813i | ||||
\(780\) | 1.16011 | + | 7.22711i | 0.0415387 | + | 0.258772i | ||||
\(781\) | − | 36.3450i | − | 1.30053i | ||||||
\(782\) | −15.9812 | − | 2.53117i | −0.571487 | − | 0.0905146i | ||||
\(783\) | −0.295459 | + | 0.0467962i | −0.0105589 | + | 0.00167236i | ||||
\(784\) | −11.0211 | + | 15.1693i | −0.393612 | + | 0.541760i | ||||
\(785\) | −5.45087 | − | 1.75854i | −0.194550 | − | 0.0627649i | ||||
\(786\) | 3.09518 | + | 4.26015i | 0.110402 | + | 0.151955i | ||||
\(787\) | 13.9528 | + | 7.10929i | 0.497363 | + | 0.253419i | 0.684631 | − | 0.728890i | \(-0.259963\pi\) |
−0.187268 | + | 0.982309i | \(0.559963\pi\) | |||||||
\(788\) | 4.95761 | − | 2.52603i | 0.176607 | − | 0.0899860i | ||||
\(789\) | −9.96515 | + | 13.7159i | −0.354769 | + | 0.488297i | ||||
\(790\) | −8.69146 | − | 11.9105i | −0.309228 | − | 0.423755i | ||||
\(791\) | 28.0056 | − | 86.1923i | 0.995764 | − | 3.06465i | ||||
\(792\) | 2.92354 | − | 0.463044i | 0.103884 | − | 0.0164535i | ||||
\(793\) | −12.7724 | − | 25.0673i | −0.453562 | − | 0.890165i | ||||
\(794\) | 16.8794 | − | 5.48444i | 0.599026 | − | 0.194635i | ||||
\(795\) | −7.30403 | + | 7.33455i | −0.259047 | + | 0.260130i | ||||
\(796\) | −3.26014 | + | 1.05928i | −0.115553 | + | 0.0375453i | ||||
\(797\) | −18.7566 | + | 2.97075i | −0.664393 | + | 0.105229i | −0.479517 | − | 0.877533i | \(-0.659188\pi\) |
−0.184875 | + | 0.982762i | \(0.559188\pi\) | |||||||
\(798\) | 1.74727 | + | 11.0318i | 0.0618526 | + | 0.390522i | ||||
\(799\) | −64.6498 | + | 46.9708i | −2.28715 | + | 1.66171i | ||||
\(800\) | 4.46446 | + | 2.25136i | 0.157842 | + | 0.0795975i | ||||
\(801\) | 8.44723i | 0.298468i | ||||||||
\(802\) | −3.92651 | + | 24.7910i | −0.138650 | + | 0.875401i | ||||
\(803\) | 5.54652 | + | 10.8857i | 0.195732 | + | 0.384147i | ||||
\(804\) | −2.20160 | − | 6.77584i | −0.0776446 | − | 0.238965i | ||||
\(805\) | −28.6964 | + | 4.60642i | −1.01142 | + | 0.162355i | ||||
\(806\) | 17.8027 | + | 3.90410i | 0.627072 | + | 0.137516i | ||||
\(807\) | −12.7159 | − | 12.7159i | −0.447622 | − | 0.447622i | ||||
\(808\) | −7.33407 | − | 3.73690i | −0.258012 | − | 0.131464i | ||||
\(809\) | 8.36926 | − | 25.7579i | 0.294247 | − | 0.905600i | −0.689226 | − | 0.724547i | \(-0.742049\pi\) |
0.983473 | − | 0.181054i | \(-0.0579508\pi\) | |||||||
\(810\) | −0.00466201 | − | 2.23606i | −0.000163806 | − | 0.0785672i | ||||
\(811\) | −48.8885 | −1.71671 | −0.858353 | − | 0.513059i | \(-0.828512\pi\) | ||||
−0.858353 | + | 0.513059i | \(0.828512\pi\) | |||||||
\(812\) | −1.07338 | + | 1.07338i | −0.0376683 | + | 0.0376683i | ||||
\(813\) | −0.969672 | + | 6.12227i | −0.0340079 | + | 0.214717i | ||||
\(814\) | 12.9641 | − | 17.8435i | 0.454391 | − | 0.625415i | ||||
\(815\) | 1.95175 | + | 5.96452i | 0.0683667 | + | 0.208928i | ||||
\(816\) | −1.95207 | − | 6.00786i | −0.0683362 | − | 0.210317i | ||||
\(817\) | −0.380069 | + | 2.39966i | −0.0132969 | + | 0.0839535i | ||||
\(818\) | −6.51612 | + | 12.7886i | −0.227831 | + | 0.447143i | ||||
\(819\) | 5.13307 | − | 15.7980i | 0.179364 | − | 0.552026i | ||||
\(820\) | −20.9702 | − | 10.6298i | −0.732311 | − | 0.371210i | ||||
\(821\) | −2.56306 | − | 0.832787i | −0.0894512 | − | 0.0290645i | 0.263949 | − | 0.964537i | \(-0.414975\pi\) |
−0.353401 | + | 0.935472i | \(0.614975\pi\) | |||||||
\(822\) | 7.69982 | − | 3.92325i | 0.268562 | − | 0.136839i | ||||
\(823\) | −6.23804 | − | 39.3854i | −0.217444 | − | 1.37289i | −0.818879 | − | 0.573967i | \(-0.805404\pi\) |
0.601434 | − | 0.798922i | \(-0.294596\pi\) | |||||||
\(824\) | 8.31446 | + | 2.70153i | 0.289648 | + | 0.0941123i | ||||
\(825\) | −14.6272 | − | 2.25425i | −0.509255 | − | 0.0784828i | ||||
\(826\) | −2.07517 | + | 1.50770i | −0.0722042 | + | 0.0524594i | ||||
\(827\) | −29.4838 | − | 15.0228i | −1.02525 | − | 0.522393i | −0.141299 | − | 0.989967i | \(-0.545128\pi\) |
−0.883954 | + | 0.467574i | \(0.845128\pi\) | |||||||
\(828\) | 0.400690 | + | 2.52986i | 0.0139249 | + | 0.0879186i | ||||
\(829\) | 5.76727 | + | 4.19017i | 0.200306 | + | 0.145531i | 0.683417 | − | 0.730029i | \(-0.260493\pi\) |
−0.483111 | + | 0.875559i | \(0.660493\pi\) | |||||||
\(830\) | −21.0898 | + | 21.1779i | −0.732037 | + | 0.735096i | ||||
\(831\) | −7.90071 | −0.274072 | ||||||||
\(832\) | 2.31467 | − | 2.31467i | 0.0802467 | − | 0.0802467i | ||||
\(833\) | −116.988 | − | 18.5291i | −4.05339 | − | 0.641994i | ||||
\(834\) | −13.7413 | − | 4.46482i | −0.475822 | − | 0.154604i | ||||
\(835\) | −7.20787 | + | 22.3419i | −0.249439 | + | 0.773175i | ||||
\(836\) | − | 6.51517i | − | 0.225332i | ||||||
\(837\) | −5.18499 | − | 2.02875i | −0.179220 | − | 0.0701239i | ||||
\(838\) | 3.25465 | − | 3.25465i | 0.112430 | − | 0.112430i | ||||
\(839\) | 38.3782 | − | 12.4698i | 1.32496 | − | 0.430506i | 0.440766 | − | 0.897622i | \(-0.354707\pi\) |
0.884196 | + | 0.467116i | \(0.154707\pi\) | |||||||
\(840\) | −6.68865 | − | 9.16588i | −0.230780 | − | 0.316253i | ||||
\(841\) | 23.3891 | − | 16.9932i | 0.806521 | − | 0.585972i | ||||
\(842\) | 17.4537 | + | 17.4537i | 0.601495 | + | 0.601495i | ||||
\(843\) | 3.64635 | + | 3.64635i | 0.125587 | + | 0.125587i | ||||
\(844\) | 4.73396 | + | 6.51574i | 0.162950 | + | 0.224281i | ||||
\(845\) | 4.55657 | + | 2.30974i | 0.156751 | + | 0.0794574i | ||||
\(846\) | 10.2342 | + | 7.43558i | 0.351859 | + | 0.255641i | ||||
\(847\) | 5.15693 | − | 10.1210i | 0.177194 | − | 0.347763i | ||||
\(848\) | 4.57214 | + | 0.724157i | 0.157008 | + | 0.0248676i | ||||
\(849\) | 1.08484 | + | 3.33880i | 0.0372317 | + | 0.114587i | ||||
\(850\) | 0.131704 | + | 31.5849i | 0.00451743 | + | 1.08335i | ||||
\(851\) | 15.4407 | + | 11.2183i | 0.529300 | + | 0.384559i | ||||
\(852\) | 5.57445 | + | 10.9405i | 0.190977 | + | 0.374814i | ||||
\(853\) | −19.1892 | − | 37.6609i | −0.657025 | − | 1.28948i | −0.943493 | − | 0.331394i | \(-0.892481\pi\) |
0.286468 | − | 0.958090i | \(-0.407519\pi\) | |||||||
\(854\) | 35.2834 | + | 25.6349i | 1.20737 | + | 0.877208i | ||||
\(855\) | −4.86277 | − | 0.759798i | −0.166303 | − | 0.0259845i | ||||
\(856\) | 0.703468 | + | 2.16505i | 0.0240440 | + | 0.0739999i | ||||
\(857\) | 55.2654 | + | 8.75318i | 1.88783 | + | 0.299003i | 0.989970 | − | 0.141278i | \(-0.0451211\pi\) |
0.897860 | + | 0.440281i | \(0.145121\pi\) | |||||||
\(858\) | −4.39886 | + | 8.63325i | −0.150175 | + | 0.294734i | ||||
\(859\) | −46.6377 | − | 33.8843i | −1.59126 | − | 1.15612i | −0.902119 | − | 0.431487i | \(-0.857989\pi\) |
−0.689139 | − | 0.724630i | \(-0.742011\pi\) | |||||||
\(860\) | −0.767605 | − | 2.34579i | −0.0261751 | − | 0.0799909i | ||||
\(861\) | 31.3607 | + | 43.1643i | 1.06877 | + | 1.47104i | ||||
\(862\) | −8.50619 | − | 8.50619i | −0.289722 | − | 0.289722i | ||||
\(863\) | 15.2291 | + | 15.2291i | 0.518406 | + | 0.518406i | 0.917089 | − | 0.398683i | \(-0.130533\pi\) |
−0.398683 | + | 0.917089i | \(0.630533\pi\) | |||||||
\(864\) | −0.809017 | + | 0.587785i | −0.0275233 | + | 0.0199969i | ||||
\(865\) | 15.5795 | − | 11.3689i | 0.529720 | − | 0.386554i | ||||
\(866\) | −14.1441 | + | 4.59570i | −0.480637 | + | 0.156168i | ||||
\(867\) | 16.1962 | − | 16.1962i | 0.550053 | − | 0.550053i | ||||
\(868\) | −27.3373 | + | 7.13659i | −0.927888 | + | 0.242232i | ||||
\(869\) | − | 19.5180i | − | 0.662103i | ||||||
\(870\) | −0.304917 | − | 0.595362i | −0.0103377 | − | 0.0201847i | ||||
\(871\) | 22.1803 | + | 7.20681i | 0.751550 | + | 0.244193i | ||||
\(872\) | −15.2748 | − | 2.41928i | −0.517268 | − | 0.0819273i | ||||
\(873\) | −1.96780 | + | 1.96780i | −0.0666000 | + | 0.0666000i | ||||
\(874\) | 5.63784 | 0.190703 | ||||||||
\(875\) | 17.8690 | + | 53.8468i | 0.604083 | + | 1.82036i | ||||
\(876\) | −3.33920 | − | 2.42607i | −0.112821 | − | 0.0819692i | ||||
\(877\) | −1.09727 | − | 6.92788i | −0.0370521 | − | 0.233938i | 0.962212 | − | 0.272303i | \(-0.0877852\pi\) |
−0.999264 | + | 0.0383646i | \(0.987785\pi\) | |||||||
\(878\) | −17.2427 | − | 8.78559i | −0.581912 | − | 0.296499i | ||||
\(879\) | 1.25427 | − | 0.911282i | 0.0423056 | − | 0.0307368i | ||||
\(880\) | 3.01713 | + | 5.89105i | 0.101707 | + | 0.198587i | ||||
\(881\) | 19.0091 | + | 6.17645i | 0.640434 | + | 0.208090i | 0.611192 | − | 0.791483i | \(-0.290690\pi\) |
0.0292427 | + | 0.999572i | \(0.490690\pi\) | |||||||
\(882\) | 2.93319 | + | 18.5194i | 0.0987656 | + | 0.623582i | ||||
\(883\) | 6.23943 | − | 3.17915i | 0.209974 | − | 0.106987i | −0.345841 | − | 0.938293i | \(-0.612406\pi\) |
0.555815 | + | 0.831306i | \(0.312406\pi\) | |||||||
\(884\) | 19.6663 | + | 6.38998i | 0.661451 | + | 0.214918i | ||||
\(885\) | −0.351519 | − | 1.07424i | −0.0118162 | − | 0.0361101i | ||||
\(886\) | −6.12859 | + | 18.8619i | −0.205894 | + | 0.633676i | ||||
\(887\) | 3.50317 | − | 6.87535i | 0.117625 | − | 0.230852i | −0.824686 | − | 0.565591i | \(-0.808648\pi\) |
0.942311 | + | 0.334739i | \(0.108648\pi\) | |||||||
\(888\) | −1.16564 | + | 7.35958i | −0.0391164 | + | 0.246971i | ||||
\(889\) | 21.8445 | + | 67.2303i | 0.732639 | + | 2.25483i | ||||
\(890\) | −17.9519 | + | 5.87433i | −0.601749 | + | 0.196908i | ||||
\(891\) | 1.73984 | − | 2.39468i | 0.0582867 | − | 0.0802248i | ||||
\(892\) | 2.59169 | − | 16.3633i | 0.0867762 | − | 0.547883i | ||||
\(893\) | 19.6887 | − | 19.6887i | 0.658858 | − | 0.658858i | ||||
\(894\) | −20.0774 | −0.671488 | ||||||||
\(895\) | 6.08348 | + | 6.05816i | 0.203348 | + | 0.202502i | ||||
\(896\) | −1.56810 | + | 4.82611i | −0.0523865 | + | 0.161229i | ||||
\(897\) | −7.47070 | − | 3.80651i | −0.249439 | − | 0.127096i | ||||
\(898\) | 23.7979 | + | 23.7979i | 0.794148 | + | 0.794148i | ||||
\(899\) | −1.65752 | + | 0.163424i | −0.0552813 | + | 0.00545050i | ||||
\(900\) | 4.74880 | − | 1.56490i | 0.158293 | − | 0.0521633i | ||||
\(901\) | 9.03641 | + | 27.8112i | 0.301046 | + | 0.926525i | ||||
\(902\) | −14.1290 | − | 27.7298i | −0.470446 | − | 0.923302i | ||||
\(903\) | −0.876227 | + | 5.53228i | −0.0291590 | + | 0.184103i | ||||
\(904\) | − | 17.8596i | − | 0.594001i | ||||||
\(905\) | −36.3207 | + | 5.83029i | −1.20734 | + | 0.193805i | ||||
\(906\) | 1.74372 | − | 1.26688i | 0.0579311 | − | 0.0420894i | ||||
\(907\) | −3.81513 | − | 24.0878i | −0.126679 | − | 0.799821i | −0.966445 | − | 0.256872i | \(-0.917308\pi\) |
0.839766 | − | 0.542948i | \(-0.182692\pi\) | |||||||
\(908\) | 22.6149 | − | 3.58185i | 0.750503 | − | 0.118868i | ||||
\(909\) | −7.82836 | + | 2.54359i | −0.259650 | + | 0.0843655i | ||||
\(910\) | 37.1432 | − | 0.0774405i | 1.23128 | − | 0.00256713i | ||||
\(911\) | 27.7508 | − | 9.01678i | 0.919425 | − | 0.298739i | 0.189194 | − | 0.981940i | \(-0.439412\pi\) |
0.730231 | + | 0.683200i | \(0.239412\pi\) | |||||||
\(912\) | 0.999270 | + | 1.96118i | 0.0330891 | + | 0.0649411i | ||||
\(913\) | −39.0768 | + | 6.18915i | −1.29325 | + | 0.204831i | ||||
\(914\) | −5.17896 | + | 15.9392i | −0.171305 | + | 0.527222i | ||||
\(915\) | −15.5241 | + | 11.3284i | −0.513210 | + | 0.374506i | ||||
\(916\) | 1.83722 | − | 2.52871i | 0.0607033 | − | 0.0835509i | ||||
\(917\) | 23.8089 | − | 12.1312i | 0.786239 | − | 0.400609i | ||||
\(918\) | −5.62852 | − | 2.86787i | −0.185769 | − | 0.0946539i | ||||
\(919\) | −1.17626 | − | 1.61899i | −0.0388014 | − | 0.0534055i | 0.789176 | − | 0.614168i | \(-0.210508\pi\) |
−0.827977 | + | 0.560762i | \(0.810508\pi\) | |||||||
\(920\) | −5.09776 | + | 2.61084i | −0.168068 | + | 0.0860769i | ||||
\(921\) | −18.1248 | + | 24.9466i | −0.597232 | + | 0.822020i | ||||
\(922\) | −32.3199 | + | 5.11896i | −1.06440 | + | 0.168584i | ||||
\(923\) | −39.6990 | − | 6.28770i | −1.30671 | − | 0.206962i | ||||
\(924\) | − | 15.0204i | − | 0.494134i | ||||||
\(925\) | 16.7756 | − | 33.2661i | 0.551577 | − | 1.09378i | ||||
\(926\) | −3.34343 | − | 4.60184i | −0.109872 | − | 0.151226i | ||||
\(927\) | 7.78948 | − | 3.96894i | 0.255840 | − | 0.130357i | ||||
\(928\) | −0.135808 | + | 0.266538i | −0.00445811 | + | 0.00874953i | ||||
\(929\) | 49.2678 | 1.61642 | 0.808212 | − | 0.588892i | \(-0.200436\pi\) | ||||
0.808212 | + | 0.588892i | \(0.200436\pi\) | |||||||
\(930\) | 0.705738 | − | 12.4299i | 0.0231421 | − | 0.407592i | ||||
\(931\) | 41.2709 | 1.35260 | ||||||||
\(932\) | 3.12686 | − | 6.13681i | 0.102424 | − | 0.201018i | ||||
\(933\) | −14.5261 | + | 7.40142i | −0.475563 | + | 0.242312i | ||||
\(934\) | 0.401519 | + | 0.552644i | 0.0131381 | + | 0.0180831i | ||||
\(935\) | −24.5052 | + | 33.8768i | −0.801405 | + | 1.10789i | ||||
\(936\) | − | 3.27344i | − | 0.106996i | ||||||
\(937\) | 44.8615 | + | 7.10536i | 1.46556 | + | 0.232122i | 0.837669 | − | 0.546179i | \(-0.183918\pi\) |
0.627892 | + | 0.778301i | \(0.283918\pi\) | |||||||
\(938\) | −35.7082 | + | 5.65562i | −1.16591 | + | 0.184662i | ||||
\(939\) | −3.24401 | + | 4.46500i | −0.105864 | + | 0.145710i | ||||
\(940\) | −8.68495 | + | 26.9204i | −0.283272 | + | 0.878045i | ||||
\(941\) | 6.57123 | + | 9.04452i | 0.214216 | + | 0.294843i | 0.902580 | − | 0.430523i | \(-0.141671\pi\) |
−0.688364 | + | 0.725366i | \(0.741671\pi\) | |||||||
\(942\) | 2.28224 | + | 1.16286i | 0.0743595 | + | 0.0378881i | ||||
\(943\) | 23.9957 | − | 12.2264i | 0.781408 | − | 0.398147i | ||||
\(944\) | −0.297114 | + | 0.408942i | −0.00967023 | + | 0.0133099i | ||||
\(945\) | −11.2108 | − | 1.75167i | −0.364689 | − | 0.0569819i | ||||
\(946\) | 1.00964 | − | 3.10735i | 0.0328262 | − | 0.101029i | ||||
\(947\) | 17.3999 | − | 2.75587i | 0.565420 | − | 0.0895537i | 0.132821 | − | 0.991140i | \(-0.457597\pi\) |
0.432599 | + | 0.901586i | \(0.357597\pi\) | |||||||
\(948\) | 2.99359 | + | 5.87525i | 0.0972273 | + | 0.190819i | ||||
\(949\) | 12.8497 | − | 4.17514i | 0.417120 | − | 0.135531i | ||||
\(950\) | −1.76694 | − | 10.8626i | −0.0573270 | − | 0.352431i | ||||
\(951\) | 2.95486 | − | 0.960091i | 0.0958178 | − | 0.0311331i | ||||
\(952\) | −31.6610 | + | 5.01460i | −1.02614 | + | 0.162524i | ||||
\(953\) | −4.85474 | − | 30.6517i | −0.157261 | − | 0.992904i | −0.932482 | − | 0.361215i | \(-0.882362\pi\) |
0.775222 | − | 0.631689i | \(-0.217638\pi\) | |||||||
\(954\) | 3.74505 | − | 2.72094i | 0.121250 | − | 0.0880936i | ||||
\(955\) | −5.78929 | − | 36.0653i | −0.187337 | − | 1.16705i | ||||
\(956\) | 7.37113i | 0.238399i | ||||||||
\(957\) | 0.138516 | − | 0.874556i | 0.00447759 | − | 0.0282704i | ||||
\(958\) | 1.38809 | + | 2.72427i | 0.0448470 | + | 0.0880173i | ||||
\(959\) | −13.5511 | − | 41.7058i | −0.437586 | − | 1.34675i | ||||
\(960\) | −1.81175 | − | 1.31055i | −0.0584741 | − | 0.0422979i | ||||
\(961\) | −28.1551 | − | 12.9726i | −0.908230 | − | 0.418472i | ||||
\(962\) | −17.2473 | − | 17.2473i | −0.556077 | − | 0.556077i | ||||
\(963\) | 2.02835 | + | 1.03350i | 0.0653626 | + | 0.0333039i | ||||
\(964\) | −7.80818 | + | 24.0311i | −0.251484 | + | 0.773989i | ||||
\(965\) | 60.2860 | − | 0.125691i | 1.94068 | − | 0.00404615i | ||||
\(966\) | 12.9977 | 0.418195 | ||||||||
\(967\) | −27.3332 | + | 27.3332i | −0.878975 | + | 0.878975i | −0.993429 | − | 0.114453i | \(-0.963488\pi\) |
0.114453 | + | 0.993429i | \(0.463488\pi\) | |||||||
\(968\) | 0.350176 | − | 2.21092i | 0.0112551 | − | 0.0710617i | ||||
\(969\) | −8.17275 | + | 11.2488i | −0.262547 | + | 0.361364i | ||||
\(970\) | −5.55038 | − | 2.81350i | −0.178212 | − | 0.0903360i | ||||
\(971\) | −0.435570 | − | 1.34055i | −0.0139781 | − | 0.0430202i | 0.943824 | − | 0.330448i | \(-0.107200\pi\) |
−0.957802 | + | 0.287428i | \(0.907200\pi\) | |||||||
\(972\) | −0.156434 | + | 0.987688i | −0.00501764 | + | 0.0316801i | ||||
\(973\) | −33.2858 | + | 65.3270i | −1.06709 | + | 2.09429i | ||||
\(974\) | 4.60793 | − | 14.1817i | 0.147647 | − | 0.454412i | ||||
\(975\) | −4.99279 | + | 15.5871i | −0.159897 | + | 0.499186i | ||||
\(976\) | 8.17388 | + | 2.65586i | 0.261640 | + | 0.0850119i | ||||
\(977\) | 40.2740 | − | 20.5206i | 1.28848 | − | 0.656513i | 0.330623 | − | 0.943763i | \(-0.392741\pi\) |
0.957856 | + | 0.287250i | \(0.0927412\pi\) | |||||||
\(978\) | −0.439048 | − | 2.77204i | −0.0140392 | − | 0.0886400i | ||||
\(979\) | −23.7799 | − | 7.72656i | −0.760010 | − | 0.246942i | ||||
\(980\) | −37.3174 | + | 19.1123i | −1.19206 | + | 0.610519i | ||||
\(981\) | −12.5116 | + | 9.09019i | −0.399464 | + | 0.290227i | ||||
\(982\) | 29.9857 | + | 15.2785i | 0.956884 | + | 0.487557i | ||||
\(983\) | 1.88088 | + | 11.8754i | 0.0599909 | + | 0.378767i | 0.999357 | + | 0.0358519i | \(0.0114144\pi\) |
−0.939366 | + | 0.342915i | \(0.888586\pi\) | |||||||
\(984\) | 8.50617 | + | 6.18009i | 0.271167 | + | 0.197014i | ||||
\(985\) | 12.4416 | − | 0.0259397i | 0.396422 | − | 0.000826507i | ||||
\(986\) | −1.88969 | −0.0601801 | ||||||||
\(987\) | 45.3913 | − | 45.3913i | 1.44482 | − | 1.44482i | ||||
\(988\) | −7.11640 | − | 1.12713i | −0.226403 | − | 0.0358587i | ||||
\(989\) | 2.68891 | + | 0.873679i | 0.0855023 | + | 0.0277814i | ||||
\(990\) | 6.29904 | + | 2.03217i | 0.200197 | + | 0.0645867i | ||||
\(991\) | 40.6665i | 1.29181i | 0.763416 | + | 0.645907i | \(0.223520\pi\) | ||||
−0.763416 | + | 0.645907i | \(0.776480\pi\) | |||||||
\(992\) | −4.68896 | + | 3.00228i | −0.148875 | + | 0.0953225i | ||||
\(993\) | −14.9065 | + | 14.9065i | −0.473044 | + | 0.473044i | ||||
\(994\) | 59.2587 | − | 19.2543i | 1.87957 | − | 0.610710i | ||||
\(995\) | −7.57316 | − | 1.18329i | −0.240085 | − | 0.0375128i | ||||
\(996\) | 10.8135 | − | 7.85648i | 0.342639 | − | 0.248942i | ||||
\(997\) | −25.7500 | − | 25.7500i | −0.815511 | − | 0.815511i | 0.169943 | − | 0.985454i | \(-0.445642\pi\) |
−0.985454 | + | 0.169943i | \(0.945642\pi\) | |||||||
\(998\) | −29.7072 | − | 29.7072i | −0.940364 | − | 0.940364i | ||||
\(999\) | 4.37978 | + | 6.02824i | 0.138570 | + | 0.190725i |
(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 | 930.2.bj.b.337.4 | yes | 128 | |
5.3 | odd | 4 | 930.2.bj.a.523.12 | yes | 128 | ||
31.23 | odd | 10 | 930.2.bj.a.457.12 | ✓ | 128 | ||
155.23 | even | 20 | inner | 930.2.bj.b.643.4 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bj.a.457.12 | ✓ | 128 | 31.23 | odd | 10 | ||
930.2.bj.a.523.12 | yes | 128 | 5.3 | odd | 4 | ||
930.2.bj.b.337.4 | yes | 128 | 1.1 | even | 1 | trivial | |
930.2.bj.b.643.4 | yes | 128 | 155.23 | even | 20 | inner |