Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(29,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.o (of order \(10\), degree \(4\), 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: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.12 | ||
Character | \(\chi\) | \(=\) | 200.29 |
Dual form | 200.2.o.a.69.12 |
$q$-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 \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.532208 | − | 1.31025i | −0.376328 | − | 0.926486i | ||||
\(3\) | 0.235999 | + | 0.171463i | 0.136254 | + | 0.0989945i | 0.653825 | − | 0.756646i | \(-0.273163\pi\) |
−0.517570 | + | 0.855641i | \(0.673163\pi\) | |||||||
\(4\) | −1.43351 | + | 1.39465i | −0.716754 | + | 0.697326i | ||||
\(5\) | 2.21228 | − | 0.325311i | 0.989361 | − | 0.145483i | ||||
\(6\) | 0.0990593 | − | 0.400472i | 0.0404408 | − | 0.163492i | ||||
\(7\) | 0.234809i | 0.0887494i | 0.999015 | + | 0.0443747i | \(0.0141296\pi\) | ||||
−0.999015 | + | 0.0443747i | \(0.985870\pi\) | |||||||
\(8\) | 2.59027 | + | 1.13601i | 0.915798 | + | 0.401640i | ||||
\(9\) | −0.900755 | − | 2.77224i | −0.300252 | − | 0.924080i | ||||
\(10\) | −1.60363 | − | 2.72550i | −0.507112 | − | 0.861880i | ||||
\(11\) | 5.50105 | + | 1.78740i | 1.65863 | + | 0.538921i | 0.980584 | − | 0.196099i | \(-0.0628276\pi\) |
0.678045 | + | 0.735021i | \(0.262828\pi\) | |||||||
\(12\) | −0.577439 | + | 0.0833422i | −0.166692 | + | 0.0240588i | ||||
\(13\) | −0.580270 | − | 1.78589i | −0.160938 | − | 0.495316i | 0.837776 | − | 0.546014i | \(-0.183855\pi\) |
−0.998714 | + | 0.0506981i | \(0.983855\pi\) | |||||||
\(14\) | 0.307658 | − | 0.124967i | 0.0822252 | − | 0.0333989i | ||||
\(15\) | 0.577875 | + | 0.302552i | 0.149207 | + | 0.0781185i | ||||
\(16\) | 0.109896 | − | 3.99849i | 0.0274739 | − | 0.999623i | ||||
\(17\) | −2.42773 | − | 3.34149i | −0.588811 | − | 0.810429i | 0.405815 | − | 0.913955i | \(-0.366988\pi\) |
−0.994627 | + | 0.103526i | \(0.966988\pi\) | |||||||
\(18\) | −3.15294 | + | 2.65562i | −0.743154 | + | 0.625936i | ||||
\(19\) | 1.59154 | + | 2.19056i | 0.365124 | + | 0.502550i | 0.951567 | − | 0.307440i | \(-0.0994724\pi\) |
−0.586443 | + | 0.809990i | \(0.699472\pi\) | |||||||
\(20\) | −2.71763 | + | 3.55169i | −0.607679 | + | 0.794182i | ||||
\(21\) | −0.0402612 | + | 0.0554147i | −0.00878571 | + | 0.0120925i | ||||
\(22\) | −0.585764 | − | 8.15902i | −0.124885 | − | 1.73951i | ||||
\(23\) | −2.32295 | − | 0.754772i | −0.484369 | − | 0.157381i | 0.0566456 | − | 0.998394i | \(-0.481959\pi\) |
−0.541014 | + | 0.841013i | \(0.681959\pi\) | |||||||
\(24\) | 0.416517 | + | 0.712234i | 0.0850211 | + | 0.145384i | ||||
\(25\) | 4.78835 | − | 1.43935i | 0.957669 | − | 0.287871i | ||||
\(26\) | −2.03113 | + | 1.71076i | −0.398338 | + | 0.335508i | ||||
\(27\) | 0.533191 | − | 1.64099i | 0.102613 | − | 0.315809i | ||||
\(28\) | −0.327477 | − | 0.336601i | −0.0618873 | − | 0.0636116i | ||||
\(29\) | −3.89100 | + | 5.35551i | −0.722541 | + | 0.994493i | 0.276894 | + | 0.960900i | \(0.410695\pi\) |
−0.999436 | + | 0.0335922i | \(0.989305\pi\) | |||||||
\(30\) | 0.0888688 | − | 0.918181i | 0.0162251 | − | 0.167636i | ||||
\(31\) | −4.28302 | + | 3.11180i | −0.769253 | + | 0.558895i | −0.901734 | − | 0.432291i | \(-0.857705\pi\) |
0.132482 | + | 0.991185i | \(0.457705\pi\) | |||||||
\(32\) | −5.29751 | + | 1.98404i | −0.936476 | + | 0.350732i | ||||
\(33\) | 0.991770 | + | 1.36505i | 0.172645 | + | 0.237625i | ||||
\(34\) | −3.08612 | + | 4.95930i | −0.529266 | + | 0.850513i | ||||
\(35\) | 0.0763858 | + | 0.519463i | 0.0129116 | + | 0.0878052i | ||||
\(36\) | 5.15755 | + | 2.71779i | 0.859591 | + | 0.452965i | ||||
\(37\) | −0.624829 | − | 1.92303i | −0.102721 | − | 0.316144i | 0.886468 | − | 0.462791i | \(-0.153152\pi\) |
−0.989189 | + | 0.146647i | \(0.953152\pi\) | |||||||
\(38\) | 2.02316 | − | 3.25115i | 0.328199 | − | 0.527406i | ||||
\(39\) | 0.169271 | − | 0.520963i | 0.0271051 | − | 0.0834208i | ||||
\(40\) | 6.09995 | + | 1.67053i | 0.964486 | + | 0.264134i | ||||
\(41\) | 2.13805 | + | 6.58023i | 0.333907 | + | 1.02766i | 0.967258 | + | 0.253795i | \(0.0816787\pi\) |
−0.633352 | + | 0.773864i | \(0.718321\pi\) | |||||||
\(42\) | 0.0940345 | + | 0.0232600i | 0.0145098 | + | 0.00358910i | ||||
\(43\) | 8.04419 | 1.22673 | 0.613364 | − | 0.789801i | \(-0.289816\pi\) | ||||
0.613364 | + | 0.789801i | \(0.289816\pi\) | |||||||
\(44\) | −10.3786 | + | 5.10979i | −1.56463 | + | 0.770330i | ||||
\(45\) | −2.89456 | − | 5.83994i | −0.431495 | − | 0.870567i | ||||
\(46\) | 0.247353 | + | 3.44534i | 0.0364702 | + | 0.507988i | ||||
\(47\) | −6.18554 | + | 8.51367i | −0.902254 | + | 1.24185i | 0.0674892 | + | 0.997720i | \(0.478501\pi\) |
−0.969743 | + | 0.244126i | \(0.921499\pi\) | |||||||
\(48\) | 0.711530 | − | 0.924798i | 0.102701 | − | 0.133483i | ||||
\(49\) | 6.94486 | 0.992124 | ||||||||
\(50\) | −4.43431 | − | 5.50789i | −0.627106 | − | 0.778934i | ||||
\(51\) | − | 1.20486i | − | 0.168714i | ||||||
\(52\) | 3.32251 | + | 1.75081i | 0.460749 | + | 0.242794i | ||||
\(53\) | −3.06610 | − | 2.22765i | −0.421161 | − | 0.305991i | 0.356944 | − | 0.934126i | \(-0.383819\pi\) |
−0.778105 | + | 0.628135i | \(0.783819\pi\) | |||||||
\(54\) | −2.43388 | + | 0.174737i | −0.331209 | + | 0.0237787i | ||||
\(55\) | 12.7513 | + | 2.16467i | 1.71939 | + | 0.291885i | ||||
\(56\) | −0.266745 | + | 0.608218i | −0.0356453 | + | 0.0812765i | ||||
\(57\) | 0.789862i | 0.104620i | ||||||||
\(58\) | 9.08787 | + | 2.24794i | 1.19330 | + | 0.295169i | ||||
\(59\) | −6.66931 | + | 2.16699i | −0.868270 | + | 0.282118i | −0.709078 | − | 0.705130i | \(-0.750889\pi\) |
−0.159192 | + | 0.987248i | \(0.550889\pi\) | |||||||
\(60\) | −1.25034 | + | 0.372223i | −0.161419 | + | 0.0480538i | ||||
\(61\) | −1.54958 | − | 0.503489i | −0.198403 | − | 0.0644651i | 0.208130 | − | 0.978101i | \(-0.433262\pi\) |
−0.406533 | + | 0.913636i | \(0.633262\pi\) | |||||||
\(62\) | 6.35669 | + | 3.95570i | 0.807300 | + | 0.502375i | ||||
\(63\) | 0.650947 | − | 0.211505i | 0.0820116 | − | 0.0266472i | ||||
\(64\) | 5.41896 | + | 5.88514i | 0.677370 | + | 0.735642i | ||||
\(65\) | −1.86468 | − | 3.76211i | −0.231286 | − | 0.466632i | ||||
\(66\) | 1.26073 | − | 2.02596i | 0.155186 | − | 0.249378i | ||||
\(67\) | −9.01003 | + | 6.54617i | −1.10075 | + | 0.799742i | −0.981182 | − | 0.193084i | \(-0.938151\pi\) |
−0.119569 | + | 0.992826i | \(0.538151\pi\) | |||||||
\(68\) | 8.14038 | + | 1.40421i | 0.987166 | + | 0.170286i | ||||
\(69\) | −0.418799 | − | 0.576427i | −0.0504174 | − | 0.0693936i | ||||
\(70\) | 0.639973 | − | 0.376547i | 0.0764914 | − | 0.0450059i | ||||
\(71\) | 2.21139 | + | 1.60667i | 0.262443 | + | 0.190676i | 0.711223 | − | 0.702966i | \(-0.248141\pi\) |
−0.448780 | + | 0.893642i | \(0.648141\pi\) | |||||||
\(72\) | 0.816095 | − | 8.20411i | 0.0961777 | − | 0.966863i | ||||
\(73\) | −14.3832 | − | 4.67339i | −1.68343 | − | 0.546979i | −0.697857 | − | 0.716237i | \(-0.745863\pi\) |
−0.985572 | + | 0.169258i | \(0.945863\pi\) | |||||||
\(74\) | −2.18711 | + | 1.84213i | −0.254246 | + | 0.214144i | ||||
\(75\) | 1.37684 | + | 0.481340i | 0.158984 | + | 0.0555803i | ||||
\(76\) | −5.33656 | − | 0.920553i | −0.612145 | − | 0.105595i | ||||
\(77\) | −0.419697 | + | 1.29170i | −0.0478290 | + | 0.147202i | ||||
\(78\) | −0.772679 | + | 0.0554733i | −0.0874886 | + | 0.00628111i | ||||
\(79\) | −10.3770 | − | 7.53932i | −1.16750 | − | 0.848240i | −0.176795 | − | 0.984248i | \(-0.556573\pi\) |
−0.990708 | + | 0.136008i | \(0.956573\pi\) | |||||||
\(80\) | −1.05763 | − | 8.88152i | −0.118247 | − | 0.992984i | ||||
\(81\) | −6.66742 | + | 4.84416i | −0.740824 | + | 0.538240i | ||||
\(82\) | 7.48385 | − | 6.30342i | 0.826454 | − | 0.696097i | ||||
\(83\) | −2.55253 | + | 1.85452i | −0.280176 | + | 0.203560i | −0.718994 | − | 0.695016i | \(-0.755397\pi\) |
0.438818 | + | 0.898576i | \(0.355397\pi\) | |||||||
\(84\) | −0.0195695 | − | 0.135588i | −0.00213521 | − | 0.0147938i | ||||
\(85\) | −6.45784 | − | 6.60253i | −0.700451 | − | 0.716145i | ||||
\(86\) | −4.28118 | − | 10.5399i | −0.461652 | − | 1.13655i | ||||
\(87\) | −1.83655 | + | 0.596730i | −0.196899 | + | 0.0639762i | ||||
\(88\) | 12.2187 | + | 10.8791i | 1.30252 | + | 1.15971i | ||||
\(89\) | 3.51258 | − | 10.8106i | 0.372333 | − | 1.14592i | −0.572927 | − | 0.819606i | \(-0.694192\pi\) |
0.945260 | − | 0.326317i | \(-0.105808\pi\) | |||||||
\(90\) | −6.11127 | + | 6.90066i | −0.644184 | + | 0.727393i | ||||
\(91\) | 0.419342 | − | 0.136252i | 0.0439590 | − | 0.0142831i | ||||
\(92\) | 4.38261 | − | 2.15773i | 0.456919 | − | 0.224959i | ||||
\(93\) | −1.54435 | −0.160141 | ||||||||
\(94\) | 14.4470 | + | 3.57356i | 1.49010 | + | 0.368585i | ||||
\(95\) | 4.23354 | + | 4.32839i | 0.434352 | + | 0.444084i | ||||
\(96\) | −1.59040 | − | 0.440098i | −0.162319 | − | 0.0449173i | ||||
\(97\) | 4.11921 | − | 5.66961i | 0.418243 | − | 0.575661i | −0.546962 | − | 0.837157i | \(-0.684216\pi\) |
0.965205 | + | 0.261496i | \(0.0842158\pi\) | |||||||
\(98\) | −3.69611 | − | 9.09951i | −0.373364 | − | 0.919189i | ||||
\(99\) | − | 16.8602i | − | 1.69452i | ||||||
\(100\) | −4.85674 | + | 8.74140i | −0.485674 | + | 0.874140i | ||||
\(101\) | 10.9484i | 1.08941i | 0.838628 | + | 0.544704i | \(0.183358\pi\) | ||||
−0.838628 | + | 0.544704i | \(0.816642\pi\) | |||||||
\(102\) | −1.57866 | + | 0.641234i | −0.156311 | + | 0.0634916i | ||||
\(103\) | 6.88143 | − | 9.47147i | 0.678047 | − | 0.933252i | −0.321861 | − | 0.946787i | \(-0.604308\pi\) |
0.999908 | + | 0.0135350i | \(0.00430847\pi\) | |||||||
\(104\) | 0.525731 | − | 5.28511i | 0.0515522 | − | 0.518248i | ||||
\(105\) | −0.0710419 | + | 0.135690i | −0.00693298 | + | 0.0132420i | ||||
\(106\) | −1.28698 | + | 5.20293i | −0.125002 | + | 0.505353i | ||||
\(107\) | 0.352640 | 0.0340910 | 0.0170455 | − | 0.999855i | \(-0.494574\pi\) | ||||
0.0170455 | + | 0.999855i | \(0.494574\pi\) | |||||||
\(108\) | 1.52428 | + | 3.09600i | 0.146674 | + | 0.297912i | ||||
\(109\) | 9.24706 | − | 3.00455i | 0.885708 | − | 0.287784i | 0.169382 | − | 0.985550i | \(-0.445823\pi\) |
0.716325 | + | 0.697767i | \(0.245823\pi\) | |||||||
\(110\) | −3.95009 | − | 17.8595i | −0.376626 | − | 1.70283i | ||||
\(111\) | 0.182270 | − | 0.560968i | 0.0173003 | − | 0.0532448i | ||||
\(112\) | 0.938881 | + | 0.0258045i | 0.0887159 | + | 0.00243829i | ||||
\(113\) | −0.311428 | + | 0.101189i | −0.0292967 | + | 0.00951907i | −0.323629 | − | 0.946184i | \(-0.604903\pi\) |
0.294332 | + | 0.955703i | \(0.404903\pi\) | |||||||
\(114\) | 1.03492 | − | 0.420371i | 0.0969288 | − | 0.0393714i | ||||
\(115\) | −5.38455 | − | 0.914086i | −0.502112 | − | 0.0852389i | ||||
\(116\) | −1.89128 | − | 13.1038i | −0.175601 | − | 1.21665i | ||||
\(117\) | −4.42822 | + | 3.21729i | −0.409389 | + | 0.297439i | ||||
\(118\) | 6.38876 | + | 7.58517i | 0.588133 | + | 0.698272i | ||||
\(119\) | 0.784611 | − | 0.570053i | 0.0719252 | − | 0.0522567i | ||||
\(120\) | 1.15315 | + | 1.44016i | 0.105268 | + | 0.131468i | ||||
\(121\) | 18.1676 | + | 13.1995i | 1.65160 | + | 1.19995i | ||||
\(122\) | 0.165003 | + | 2.29830i | 0.0149386 | + | 0.208078i | ||||
\(123\) | −0.623691 | + | 1.91953i | −0.0562364 | + | 0.173078i | ||||
\(124\) | 1.79988 | − | 10.4341i | 0.161634 | − | 0.937010i | ||||
\(125\) | 10.1249 | − | 4.74195i | 0.905600 | − | 0.424133i | ||||
\(126\) | −0.623564 | − | 0.740338i | −0.0555515 | − | 0.0659545i | ||||
\(127\) | −8.78610 | − | 2.85478i | −0.779640 | − | 0.253320i | −0.107954 | − | 0.994156i | \(-0.534430\pi\) |
−0.671687 | + | 0.740835i | \(0.734430\pi\) | |||||||
\(128\) | 4.82698 | − | 10.2323i | 0.426649 | − | 0.904417i | ||||
\(129\) | 1.89842 | + | 1.37928i | 0.167147 | + | 0.121439i | ||||
\(130\) | −3.93690 | + | 4.44543i | −0.345289 | + | 0.389890i | ||||
\(131\) | −4.46019 | − | 6.13893i | −0.389689 | − | 0.536361i | 0.568430 | − | 0.822732i | \(-0.307551\pi\) |
−0.958119 | + | 0.286371i | \(0.907551\pi\) | |||||||
\(132\) | −3.32548 | − | 0.573644i | −0.289446 | − | 0.0499293i | ||||
\(133\) | −0.514364 | + | 0.373707i | −0.0446010 | + | 0.0324045i | ||||
\(134\) | 13.3723 | + | 8.32147i | 1.15519 | + | 0.718865i | ||||
\(135\) | 0.645735 | − | 3.80379i | 0.0555760 | − | 0.327378i | ||||
\(136\) | −2.49251 | − | 11.4133i | −0.213731 | − | 0.978680i | ||||
\(137\) | −12.5733 | + | 4.08531i | −1.07421 | + | 0.349032i | −0.792125 | − | 0.610358i | \(-0.791025\pi\) |
−0.282083 | + | 0.959390i | \(0.591025\pi\) | |||||||
\(138\) | −0.532375 | + | 0.855510i | −0.0453188 | + | 0.0728258i | ||||
\(139\) | −2.15160 | − | 0.699096i | −0.182496 | − | 0.0592965i | 0.216343 | − | 0.976317i | \(-0.430587\pi\) |
−0.398839 | + | 0.917021i | \(0.630587\pi\) | |||||||
\(140\) | −0.833969 | − | 0.638123i | −0.0704832 | − | 0.0539312i | ||||
\(141\) | −2.91957 | + | 0.948625i | −0.245872 | + | 0.0798886i | ||||
\(142\) | 0.928216 | − | 3.75255i | 0.0778941 | − | 0.314907i | ||||
\(143\) | − | 10.8614i | − | 0.908278i | ||||||
\(144\) | −11.1838 | + | 3.29700i | −0.931980 | + | 0.274750i | ||||
\(145\) | −6.86578 | + | 13.1137i | −0.570172 | + | 1.08903i | ||||
\(146\) | 1.53156 | + | 21.3328i | 0.126753 | + | 1.76552i | ||||
\(147\) | 1.63898 | + | 1.19079i | 0.135181 | + | 0.0982148i | ||||
\(148\) | 3.57765 | + | 1.88526i | 0.294081 | + | 0.154967i | ||||
\(149\) | 15.3980i | 1.26145i | 0.776004 | + | 0.630727i | \(0.217243\pi\) | ||||
−0.776004 | + | 0.630727i | \(0.782757\pi\) | |||||||
\(150\) | −0.102091 | − | 2.06018i | −0.00833574 | − | 0.168213i | ||||
\(151\) | 0.300063 | 0.0244187 | 0.0122094 | − | 0.999925i | \(-0.496114\pi\) | ||||
0.0122094 | + | 0.999925i | \(0.496114\pi\) | |||||||
\(152\) | 1.63401 | + | 7.48215i | 0.132535 | + | 0.606882i | ||||
\(153\) | −7.07661 | + | 9.74011i | −0.572110 | + | 0.787441i | ||||
\(154\) | 1.91581 | − | 0.137543i | 0.154380 | − | 0.0110835i | ||||
\(155\) | −8.46293 | + | 8.27747i | −0.679759 | + | 0.664862i | ||||
\(156\) | 0.483910 | + | 0.982879i | 0.0387438 | + | 0.0786933i | ||||
\(157\) | 20.8929 | 1.66744 | 0.833719 | − | 0.552189i | \(-0.186207\pi\) | ||||
0.833719 | + | 0.552189i | \(0.186207\pi\) | |||||||
\(158\) | −4.35568 | + | 17.6089i | −0.346519 | + | 1.40089i | ||||
\(159\) | −0.341636 | − | 1.05145i | −0.0270935 | − | 0.0833852i | ||||
\(160\) | −11.0741 | + | 6.11258i | −0.875487 | + | 0.483242i | ||||
\(161\) | 0.177227 | − | 0.545449i | 0.0139675 | − | 0.0429874i | ||||
\(162\) | 9.89552 | + | 6.15788i | 0.777465 | + | 0.483809i | ||||
\(163\) | 3.86624 | + | 11.8991i | 0.302827 | + | 0.932006i | 0.980479 | + | 0.196624i | \(0.0629977\pi\) |
−0.677652 | + | 0.735383i | \(0.737002\pi\) | |||||||
\(164\) | −12.2420 | − | 6.45099i | −0.955942 | − | 0.503737i | ||||
\(165\) | 2.63814 | + | 2.69725i | 0.205379 | + | 0.209980i | ||||
\(166\) | 3.78836 | + | 2.35746i | 0.294034 | + | 0.182974i | ||||
\(167\) | 12.6676 | + | 17.4355i | 0.980251 | + | 1.34920i | 0.936694 | + | 0.350149i | \(0.113869\pi\) |
0.0435571 | + | 0.999051i | \(0.486131\pi\) | |||||||
\(168\) | −0.167239 | + | 0.0978019i | −0.0129028 | + | 0.00754558i | ||||
\(169\) | 7.66454 | − | 5.56862i | 0.589580 | − | 0.428355i | ||||
\(170\) | −5.21405 | + | 11.9753i | −0.399899 | + | 0.918464i | ||||
\(171\) | 4.63918 | − | 6.38529i | 0.354767 | − | 0.488295i | ||||
\(172\) | −11.5314 | + | 11.2188i | −0.879262 | + | 0.855428i | ||||
\(173\) | −0.492423 | + | 1.51552i | −0.0374382 | + | 0.115223i | −0.968029 | − | 0.250838i | \(-0.919294\pi\) |
0.930591 | + | 0.366061i | \(0.119294\pi\) | |||||||
\(174\) | 1.75929 | + | 2.08875i | 0.133372 | + | 0.158348i | ||||
\(175\) | 0.337973 | + | 1.12435i | 0.0255484 | + | 0.0849926i | ||||
\(176\) | 7.75144 | − | 21.7995i | 0.584287 | − | 1.64320i | ||||
\(177\) | −1.94551 | − | 0.632135i | −0.146234 | − | 0.0475142i | ||||
\(178\) | −16.0340 | + | 1.15114i | −1.20180 | + | 0.0862815i | ||||
\(179\) | 6.51305 | − | 8.96444i | 0.486808 | − | 0.670034i | −0.492987 | − | 0.870037i | \(-0.664095\pi\) |
0.979795 | + | 0.200003i | \(0.0640951\pi\) | |||||||
\(180\) | 12.2941 | + | 4.33470i | 0.916345 | + | 0.323090i | ||||
\(181\) | −11.7991 | − | 16.2401i | −0.877020 | − | 1.20711i | −0.977237 | − | 0.212149i | \(-0.931954\pi\) |
0.100217 | − | 0.994966i | \(-0.468046\pi\) | |||||||
\(182\) | −0.401702 | − | 0.476928i | −0.0297761 | − | 0.0353523i | ||||
\(183\) | −0.279369 | − | 0.384519i | −0.0206516 | − | 0.0284245i | ||||
\(184\) | −5.15963 | − | 4.59396i | −0.380373 | − | 0.338671i | ||||
\(185\) | −2.00788 | − | 4.05101i | −0.147622 | − | 0.297836i | ||||
\(186\) | 0.821915 | + | 2.02348i | 0.0602657 | + | 0.148369i | ||||
\(187\) | −7.38250 | − | 22.7210i | −0.539862 | − | 1.66152i | ||||
\(188\) | −3.00657 | − | 20.8311i | −0.219277 | − | 1.51926i | ||||
\(189\) | 0.385320 | + | 0.125198i | 0.0280279 | + | 0.00910682i | ||||
\(190\) | 3.41815 | − | 7.85060i | 0.247979 | − | 0.569542i | ||||
\(191\) | −5.85762 | − | 18.0279i | −0.423842 | − | 1.30445i | −0.904099 | − | 0.427324i | \(-0.859456\pi\) |
0.480256 | − | 0.877128i | \(-0.340544\pi\) | |||||||
\(192\) | 0.269785 | + | 2.31804i | 0.0194701 | + | 0.167290i | ||||
\(193\) | 2.63353i | 0.189566i | 0.995498 | + | 0.0947828i | \(0.0302157\pi\) | ||||
−0.995498 | + | 0.0947828i | \(0.969784\pi\) | |||||||
\(194\) | −9.62088 | − | 2.37978i | −0.690739 | − | 0.170859i | ||||
\(195\) | 0.205000 | − | 1.20758i | 0.0146804 | − | 0.0864766i | ||||
\(196\) | −9.95553 | + | 9.68566i | −0.711109 | + | 0.691833i | ||||
\(197\) | 20.4204 | + | 14.8363i | 1.45489 | + | 1.05704i | 0.984658 | + | 0.174498i | \(0.0558303\pi\) |
0.470233 | + | 0.882542i | \(0.344170\pi\) | |||||||
\(198\) | −22.0911 | + | 8.97315i | −1.56995 | + | 0.637694i | ||||
\(199\) | 3.97231 | 0.281589 | 0.140795 | − | 0.990039i | \(-0.455034\pi\) | ||||
0.140795 | + | 0.990039i | \(0.455034\pi\) | |||||||
\(200\) | 14.0382 | + | 1.71130i | 0.992652 | + | 0.121007i | ||||
\(201\) | −3.24879 | −0.229152 | ||||||||
\(202\) | 14.3452 | − | 5.82683i | 1.00932 | − | 0.409975i | ||||
\(203\) | −1.25752 | − | 0.913642i | −0.0882607 | − | 0.0641251i | ||||
\(204\) | 1.68035 | + | 1.72717i | 0.117648 | + | 0.120926i | ||||
\(205\) | 6.87057 | + | 13.8618i | 0.479861 | + | 0.968147i | ||||
\(206\) | −16.0723 | − | 3.97559i | −1.11981 | − | 0.276993i | ||||
\(207\) | 7.11964i | 0.494849i | ||||||||
\(208\) | −7.20462 | + | 2.12394i | −0.499550 | + | 0.147269i | ||||
\(209\) | 4.83972 | + | 14.8951i | 0.334770 | + | 1.03032i | ||||
\(210\) | 0.215597 | + | 0.0208672i | 0.0148776 | + | 0.00143997i | ||||
\(211\) | 13.9414 | + | 4.52984i | 0.959766 | + | 0.311847i | 0.746678 | − | 0.665186i | \(-0.231648\pi\) |
0.213088 | + | 0.977033i | \(0.431648\pi\) | |||||||
\(212\) | 7.50207 | − | 1.08278i | 0.515244 | − | 0.0743656i | ||||
\(213\) | 0.246401 | + | 0.758344i | 0.0168831 | + | 0.0519609i | ||||
\(214\) | −0.187678 | − | 0.462047i | −0.0128294 | − | 0.0315849i | ||||
\(215\) | 17.7960 | − | 2.61686i | 1.21368 | − | 0.178468i | ||||
\(216\) | 3.24529 | − | 3.64490i | 0.220814 | − | 0.248004i | ||||
\(217\) | −0.730677 | − | 1.00569i | −0.0496016 | − | 0.0682708i | ||||
\(218\) | −8.85807 | − | 10.5169i | −0.599944 | − | 0.712295i | ||||
\(219\) | −2.59311 | − | 3.56911i | −0.175226 | − | 0.241178i | ||||
\(220\) | −21.2981 | + | 14.6805i | −1.43592 | + | 0.989762i | ||||
\(221\) | −4.55877 | + | 6.27461i | −0.306656 | + | 0.422076i | ||||
\(222\) | −0.832014 | + | 0.0597331i | −0.0558411 | + | 0.00400903i | ||||
\(223\) | −16.2169 | − | 5.26920i | −1.08597 | − | 0.352852i | −0.289280 | − | 0.957245i | \(-0.593416\pi\) |
−0.796686 | + | 0.604393i | \(0.793416\pi\) | |||||||
\(224\) | −0.465870 | − | 1.24390i | −0.0311272 | − | 0.0831117i | ||||
\(225\) | −8.30336 | − | 11.9779i | −0.553557 | − | 0.798529i | ||||
\(226\) | 0.298328 | + | 0.354195i | 0.0198445 | + | 0.0235607i | ||||
\(227\) | −4.52341 | + | 13.9216i | −0.300229 | + | 0.924011i | 0.681185 | + | 0.732111i | \(0.261465\pi\) |
−0.981414 | + | 0.191900i | \(0.938535\pi\) | |||||||
\(228\) | −1.10158 | − | 1.13227i | −0.0729541 | − | 0.0749867i | ||||
\(229\) | 3.58252 | − | 4.93092i | 0.236740 | − | 0.325844i | −0.674072 | − | 0.738665i | \(-0.735456\pi\) |
0.910812 | + | 0.412821i | \(0.135456\pi\) | |||||||
\(230\) | 1.66802 | + | 7.54158i | 0.109986 | + | 0.497277i | ||||
\(231\) | −0.320527 | + | 0.232876i | −0.0210891 | + | 0.0153221i | ||||
\(232\) | −16.1626 | + | 9.45197i | −1.06113 | + | 0.620552i | ||||
\(233\) | 4.19480 | + | 5.77365i | 0.274811 | + | 0.378244i | 0.924006 | − | 0.382377i | \(-0.124894\pi\) |
−0.649196 | + | 0.760621i | \(0.724894\pi\) | |||||||
\(234\) | 6.57219 | + | 4.08981i | 0.429638 | + | 0.267359i | ||||
\(235\) | −10.9146 | + | 20.8468i | −0.711987 | + | 1.35990i | ||||
\(236\) | 6.53832 | − | 12.4078i | 0.425608 | − | 0.807676i | ||||
\(237\) | −1.15624 | − | 3.55855i | −0.0751060 | − | 0.231153i | ||||
\(238\) | −1.16449 | − | 0.724649i | −0.0754826 | − | 0.0469720i | ||||
\(239\) | −1.65706 | + | 5.09989i | −0.107186 | + | 0.329885i | −0.990237 | − | 0.139392i | \(-0.955485\pi\) |
0.883051 | + | 0.469276i | \(0.155485\pi\) | |||||||
\(240\) | 1.27326 | − | 2.27738i | 0.0821883 | − | 0.147004i | ||||
\(241\) | −0.583541 | − | 1.79595i | −0.0375892 | − | 0.115688i | 0.930501 | − | 0.366289i | \(-0.119372\pi\) |
−0.968090 | + | 0.250601i | \(0.919372\pi\) | |||||||
\(242\) | 7.62572 | − | 30.8289i | 0.490200 | − | 1.98176i | ||||
\(243\) | −7.58043 | −0.486285 | ||||||||
\(244\) | 2.92353 | − | 1.43937i | 0.187160 | − | 0.0921460i | ||||
\(245\) | 15.3640 | − | 2.25924i | 0.981568 | − | 0.144337i | ||||
\(246\) | 2.84699 | − | 0.204395i | 0.181518 | − | 0.0130318i | ||||
\(247\) | 2.98858 | − | 4.11342i | 0.190159 | − | 0.261731i | ||||
\(248\) | −14.6292 | + | 3.19483i | −0.928954 | + | 0.202872i | ||||
\(249\) | −0.920377 | −0.0583265 | ||||||||
\(250\) | −11.6017 | − | 10.7425i | −0.733756 | − | 0.679413i | ||||
\(251\) | − | 4.55040i | − | 0.287219i | −0.989634 | − | 0.143609i | \(-0.954129\pi\) | ||
0.989634 | − | 0.143609i | \(-0.0458709\pi\) | |||||||
\(252\) | −0.638161 | + | 1.21104i | −0.0402004 | + | 0.0762882i | ||||
\(253\) | −11.4296 | − | 8.30408i | −0.718572 | − | 0.522073i | ||||
\(254\) | 0.935563 | + | 13.0313i | 0.0587025 | + | 0.817658i | ||||
\(255\) | −0.391952 | − | 2.66547i | −0.0245450 | − | 0.166919i | ||||
\(256\) | −15.9758 | − | 0.878833i | −0.998490 | − | 0.0549271i | ||||
\(257\) | − | 6.99079i | − | 0.436074i | −0.975941 | − | 0.218037i | \(-0.930035\pi\) | ||
0.975941 | − | 0.218037i | \(-0.0699653\pi\) | |||||||
\(258\) | 0.796851 | − | 3.22147i | 0.0496098 | − | 0.200560i | ||||
\(259\) | 0.451544 | − | 0.146716i | 0.0280576 | − | 0.00911646i | ||||
\(260\) | 7.91987 | + | 2.79243i | 0.491170 | + | 0.173179i | ||||
\(261\) | 18.3516 | + | 5.96279i | 1.13593 | + | 0.369088i | ||||
\(262\) | −5.66978 | + | 9.11115i | −0.350280 | + | 0.562889i | ||||
\(263\) | 21.5131 | − | 6.99005i | 1.32656 | − | 0.431025i | 0.441816 | − | 0.897106i | \(-0.354335\pi\) |
0.884742 | + | 0.466081i | \(0.154335\pi\) | |||||||
\(264\) | 1.01823 | + | 4.66251i | 0.0626679 | + | 0.286958i | ||||
\(265\) | −7.50773 | − | 3.93075i | −0.461196 | − | 0.241464i | ||||
\(266\) | 0.763399 | + | 0.475055i | 0.0468070 | + | 0.0291275i | ||||
\(267\) | 2.68259 | − | 1.94902i | 0.164172 | − | 0.119278i | ||||
\(268\) | 3.78634 | − | 21.9499i | 0.231287 | − | 1.34080i | ||||
\(269\) | −3.68963 | − | 5.07835i | −0.224961 | − | 0.309632i | 0.681585 | − | 0.731739i | \(-0.261291\pi\) |
−0.906546 | + | 0.422106i | \(0.861291\pi\) | |||||||
\(270\) | −5.32758 | + | 1.17833i | −0.324226 | + | 0.0717111i | ||||
\(271\) | −2.75055 | − | 1.99839i | −0.167084 | − | 0.121393i | 0.501101 | − | 0.865389i | \(-0.332928\pi\) |
−0.668185 | + | 0.743995i | \(0.732928\pi\) | |||||||
\(272\) | −13.6277 | + | 9.34005i | −0.826300 | + | 0.566323i | ||||
\(273\) | 0.122327 | + | 0.0397464i | 0.00740355 | + | 0.00240556i | ||||
\(274\) | 12.0444 | + | 14.2999i | 0.727628 | + | 0.863890i | ||||
\(275\) | 28.9136 | + | 0.640726i | 1.74356 | + | 0.0386372i | ||||
\(276\) | 1.40427 | + | 0.242235i | 0.0845269 | + | 0.0145808i | ||||
\(277\) | 7.95552 | − | 24.4846i | 0.478001 | − | 1.47114i | −0.363867 | − | 0.931451i | \(-0.618544\pi\) |
0.841868 | − | 0.539684i | \(-0.181456\pi\) | |||||||
\(278\) | 0.229107 | + | 3.19119i | 0.0137409 | + | 0.191395i | ||||
\(279\) | 12.4846 | + | 9.07059i | 0.747433 | + | 0.543042i | ||||
\(280\) | −0.392255 | + | 1.43232i | −0.0234417 | + | 0.0855976i | ||||
\(281\) | −3.16034 | + | 2.29612i | −0.188530 | + | 0.136975i | −0.678047 | − | 0.735019i | \(-0.737173\pi\) |
0.489517 | + | 0.871994i | \(0.337173\pi\) | |||||||
\(282\) | 2.79675 | + | 3.32050i | 0.166544 | + | 0.197733i | ||||
\(283\) | −1.03911 | + | 0.754960i | −0.0617689 | + | 0.0448777i | −0.618241 | − | 0.785988i | \(-0.712155\pi\) |
0.556472 | + | 0.830866i | \(0.312155\pi\) | |||||||
\(284\) | −5.41078 | + | 0.780942i | −0.321071 | + | 0.0463404i | ||||
\(285\) | 0.256951 | + | 1.74739i | 0.0152204 | + | 0.103507i | ||||
\(286\) | −14.2312 | + | 5.78054i | −0.841507 | + | 0.341810i | ||||
\(287\) | −1.54510 | + | 0.502032i | −0.0912041 | + | 0.0296340i | ||||
\(288\) | 10.2720 | + | 12.8988i | 0.605283 | + | 0.760071i | ||||
\(289\) | −0.0183581 | + | 0.0565005i | −0.00107989 | + | 0.00332356i | ||||
\(290\) | 20.8362 | + | 2.01669i | 1.22354 | + | 0.118424i | ||||
\(291\) | 1.94426 | − | 0.631729i | 0.113975 | − | 0.0370326i | ||||
\(292\) | 27.1362 | − | 13.3602i | 1.58803 | − | 0.781848i | ||||
\(293\) | −8.55020 | −0.499508 | −0.249754 | − | 0.968309i | \(-0.580350\pi\) | ||||
−0.249754 | + | 0.968309i | \(0.580350\pi\) | |||||||
\(294\) | 0.687953 | − | 2.78123i | 0.0401222 | − | 0.162204i | ||||
\(295\) | −14.0494 | + | 6.96358i | −0.817989 | + | 0.405435i | ||||
\(296\) | 0.566103 | − | 5.69096i | 0.0329041 | − | 0.330781i | ||||
\(297\) | 5.86622 | − | 8.07416i | 0.340393 | − | 0.468510i | ||||
\(298\) | 20.1753 | − | 8.19495i | 1.16872 | − | 0.474721i | ||||
\(299\) | 4.58650i | 0.265244i | ||||||||
\(300\) | −2.64502 | + | 1.23021i | −0.152710 | + | 0.0710262i | ||||
\(301\) | 1.88885i | 0.108871i | ||||||||
\(302\) | −0.159696 | − | 0.393157i | −0.00918946 | − | 0.0226236i | ||||
\(303\) | −1.87725 | + | 2.58382i | −0.107845 | + | 0.148436i | ||||
\(304\) | 8.93385 | − | 6.12302i | 0.512392 | − | 0.351179i | ||||
\(305\) | −3.59189 | − | 0.609762i | −0.205671 | − | 0.0349149i | ||||
\(306\) | 16.5282 | + | 4.08835i | 0.944855 | + | 0.233716i | ||||
\(307\) | −11.0920 | −0.633052 | −0.316526 | − | 0.948584i | \(-0.602517\pi\) | ||||
−0.316526 | + | 0.948584i | \(0.602517\pi\) | |||||||
\(308\) | −1.19983 | − | 2.43699i | −0.0683664 | − | 0.138860i | ||||
\(309\) | 3.24802 | − | 1.05535i | 0.184774 | − | 0.0600366i | ||||
\(310\) | 15.3496 | + | 6.68321i | 0.871798 | + | 0.379581i | ||||
\(311\) | 9.28886 | − | 28.5882i | 0.526723 | − | 1.62109i | −0.234160 | − | 0.972198i | \(-0.575234\pi\) |
0.760883 | − | 0.648889i | \(-0.224766\pi\) | |||||||
\(312\) | 1.03028 | − | 1.15714i | 0.0583279 | − | 0.0655101i | ||||
\(313\) | 0.0349980 | − | 0.0113715i | 0.00197820 | − | 0.000642758i | −0.308028 | − | 0.951377i | \(-0.599669\pi\) |
0.310006 | + | 0.950735i | \(0.399669\pi\) | |||||||
\(314\) | −11.1194 | − | 27.3750i | −0.627504 | − | 1.54486i | ||||
\(315\) | 1.37127 | − | 0.679668i | 0.0772623 | − | 0.0382950i | ||||
\(316\) | 25.3902 | − | 3.66459i | 1.42831 | − | 0.206149i | ||||
\(317\) | −13.1594 | + | 9.56085i | −0.739104 | + | 0.536991i | −0.892431 | − | 0.451185i | \(-0.851002\pi\) |
0.153326 | + | 0.988176i | \(0.451002\pi\) | |||||||
\(318\) | −1.19584 | + | 1.00722i | −0.0670592 | + | 0.0564819i | ||||
\(319\) | −30.9770 | + | 22.5061i | −1.73438 | + | 1.26010i | ||||
\(320\) | 13.9027 | + | 11.2567i | 0.777187 | + | 0.629269i | ||||
\(321\) | 0.0832228 | + | 0.0604649i | 0.00464505 | + | 0.00337482i | ||||
\(322\) | −0.808997 | + | 0.0580807i | −0.0450836 | + | 0.00323671i | ||||
\(323\) | 3.45591 | − | 10.6362i | 0.192292 | − | 0.591814i | ||||
\(324\) | 2.80189 | − | 16.2429i | 0.155660 | − | 0.902382i | ||||
\(325\) | −5.34905 | − | 7.71623i | −0.296712 | − | 0.428019i | ||||
\(326\) | 13.5331 | − | 11.3985i | 0.749529 | − | 0.631305i | ||||
\(327\) | 2.69747 | + | 0.876461i | 0.149170 | + | 0.0484684i | ||||
\(328\) | −1.93710 | + | 19.4734i | −0.106958 | + | 1.07524i | ||||
\(329\) | −1.99909 | − | 1.45242i | −0.110213 | − | 0.0800746i | ||||
\(330\) | 2.13003 | − | 4.89211i | 0.117254 | − | 0.269302i | ||||
\(331\) | −13.3539 | − | 18.3800i | −0.733995 | − | 1.01026i | −0.998942 | − | 0.0459939i | \(-0.985355\pi\) |
0.264947 | − | 0.964263i | \(-0.414645\pi\) | |||||||
\(332\) | 1.07266 | − | 6.21836i | 0.0588700 | − | 0.341277i | ||||
\(333\) | −4.76827 | + | 3.46435i | −0.261300 | + | 0.189845i | ||||
\(334\) | 16.1030 | − | 25.8771i | 0.881120 | − | 1.41593i | ||||
\(335\) | −17.8032 | + | 17.4130i | −0.972691 | + | 0.951375i | ||||
\(336\) | 0.217151 | + | 0.167074i | 0.0118465 | + | 0.00911462i | ||||
\(337\) | 17.8926 | − | 5.81367i | 0.974674 | − | 0.316691i | 0.221972 | − | 0.975053i | \(-0.428751\pi\) |
0.752701 | + | 0.658362i | \(0.228751\pi\) | |||||||
\(338\) | −11.3754 | − | 7.07880i | −0.618741 | − | 0.385036i | ||||
\(339\) | −0.0908470 | − | 0.0295180i | −0.00493413 | − | 0.00160320i | ||||
\(340\) | 18.4656 | + | 0.458352i | 1.00144 | + | 0.0248576i | ||||
\(341\) | −29.1231 | + | 9.46267i | −1.57711 | + | 0.512433i | ||||
\(342\) | −10.8353 | − | 2.68019i | −0.585908 | − | 0.144928i | ||||
\(343\) | 3.27438i | 0.176800i | ||||||||
\(344\) | 20.8366 | + | 9.13828i | 1.12343 | + | 0.492703i | ||||
\(345\) | −1.11402 | − | 1.13898i | −0.0599766 | − | 0.0613204i | ||||
\(346\) | 2.24778 | − | 0.161376i | 0.120842 | − | 0.00867564i | ||||
\(347\) | 23.8972 | + | 17.3624i | 1.28287 | + | 0.932060i | 0.999636 | − | 0.0269903i | \(-0.00859232\pi\) |
0.283235 | + | 0.959051i | \(0.408592\pi\) | |||||||
\(348\) | 1.80048 | − | 3.41676i | 0.0965157 | − | 0.183158i | ||||
\(349\) | 15.7634i | 0.843797i | 0.906643 | + | 0.421898i | \(0.138636\pi\) | ||||
−0.906643 | + | 0.421898i | \(0.861364\pi\) | |||||||
\(350\) | 1.29330 | − | 1.04122i | 0.0691299 | − | 0.0556553i | ||||
\(351\) | −3.24002 | −0.172940 | ||||||||
\(352\) | −32.6881 | + | 1.44553i | −1.74228 | + | 0.0770471i | ||||
\(353\) | −4.79864 | + | 6.60477i | −0.255406 | + | 0.351536i | −0.917395 | − | 0.397977i | \(-0.869712\pi\) |
0.661989 | + | 0.749513i | \(0.269712\pi\) | |||||||
\(354\) | 0.207162 | + | 2.88553i | 0.0110106 | + | 0.153364i | ||||
\(355\) | 5.41486 | + | 2.83500i | 0.287391 | + | 0.150466i | ||||
\(356\) | 10.0417 | + | 20.3960i | 0.532210 | + | 1.08098i | ||||
\(357\) | 0.282911 | 0.0149732 | ||||||||
\(358\) | −15.2120 | − | 3.76277i | −0.803977 | − | 0.198869i | ||||
\(359\) | −9.42480 | − | 29.0065i | −0.497422 | − | 1.53091i | −0.813148 | − | 0.582056i | \(-0.802248\pi\) |
0.315727 | − | 0.948850i | \(-0.397752\pi\) | |||||||
\(360\) | −0.863453 | − | 18.4152i | −0.0455080 | − | 0.970569i | ||||
\(361\) | 3.60574 | − | 11.0973i | 0.189776 | − | 0.584071i | ||||
\(362\) | −14.9990 | + | 24.1029i | −0.788328 | + | 1.26682i | ||||
\(363\) | 2.02430 | + | 6.23015i | 0.106248 | + | 0.326998i | ||||
\(364\) | −0.411106 | + | 0.780155i | −0.0215478 | + | 0.0408912i | ||||
\(365\) | −33.3400 | − | 5.65983i | −1.74509 | − | 0.296249i | ||||
\(366\) | −0.355133 | + | 0.570688i | −0.0185631 | + | 0.0298303i | ||||
\(367\) | −4.40881 | − | 6.06821i | −0.230138 | − | 0.316758i | 0.678294 | − | 0.734791i | \(-0.262720\pi\) |
−0.908432 | + | 0.418033i | \(0.862720\pi\) | |||||||
\(368\) | −3.27323 | + | 9.20535i | −0.170629 | + | 0.479862i | ||||
\(369\) | 16.3161 | − | 11.8543i | 0.849383 | − | 0.617113i | ||||
\(370\) | −4.23922 | + | 4.78680i | −0.220387 | + | 0.248854i | ||||
\(371\) | 0.523072 | − | 0.719947i | 0.0271565 | − | 0.0373778i | ||||
\(372\) | 2.21384 | − | 2.15383i | 0.114782 | − | 0.111671i | ||||
\(373\) | 3.94238 | − | 12.1334i | 0.204129 | − | 0.628243i | −0.795619 | − | 0.605797i | \(-0.792854\pi\) |
0.999748 | − | 0.0224465i | \(-0.00714553\pi\) | |||||||
\(374\) | −25.8412 | + | 21.7652i | −1.33621 | + | 1.12545i | ||||
\(375\) | 3.20254 | + | 0.616956i | 0.165379 | + | 0.0318595i | ||||
\(376\) | −25.6938 | + | 15.0258i | −1.32506 | + | 0.774898i | ||||
\(377\) | 11.8222 | + | 3.84125i | 0.608872 | + | 0.197834i | ||||
\(378\) | −0.0410297 | − | 0.571497i | −0.00211034 | − | 0.0293946i | ||||
\(379\) | −7.20040 | + | 9.91051i | −0.369860 | + | 0.509069i | −0.952863 | − | 0.303402i | \(-0.901878\pi\) |
0.583003 | + | 0.812470i | \(0.301878\pi\) | |||||||
\(380\) | −12.1054 | − | 0.300480i | −0.620995 | − | 0.0154143i | ||||
\(381\) | −1.58402 | − | 2.18022i | −0.0811519 | − | 0.111696i | ||||
\(382\) | −20.5036 | + | 17.2695i | −1.04905 | + | 0.883586i | ||||
\(383\) | 15.8262 | + | 21.7829i | 0.808681 | + | 1.11305i | 0.991525 | + | 0.129912i | \(0.0414696\pi\) |
−0.182844 | + | 0.983142i | \(0.558530\pi\) | |||||||
\(384\) | 2.89363 | − | 1.58717i | 0.147665 | − | 0.0809948i | ||||
\(385\) | −0.508285 | + | 2.99412i | −0.0259046 | + | 0.152595i | ||||
\(386\) | 3.45058 | − | 1.40159i | 0.175630 | − | 0.0713388i | ||||
\(387\) | −7.24584 | − | 22.3004i | −0.368327 | − | 1.13359i | ||||
\(388\) | 2.00220 | + | 13.8723i | 0.101646 | + | 0.704259i | ||||
\(389\) | −9.06656 | − | 2.94590i | −0.459693 | − | 0.149363i | 0.0700104 | − | 0.997546i | \(-0.477697\pi\) |
−0.529703 | + | 0.848183i | \(0.677697\pi\) | |||||||
\(390\) | −1.69133 | + | 0.374083i | −0.0856440 | + | 0.0189424i | ||||
\(391\) | 3.11744 | + | 9.59449i | 0.157656 | + | 0.485214i | ||||
\(392\) | 17.9891 | + | 7.88944i | 0.908584 | + | 0.398477i | ||||
\(393\) | − | 2.21354i | − | 0.111658i | ||||||
\(394\) | 8.57133 | − | 34.6518i | 0.431817 | − | 1.74573i | ||||
\(395\) | −25.4094 | − | 13.3033i | −1.27849 | − | 0.669363i | ||||
\(396\) | 23.5141 | + | 24.1693i | 1.18163 | + | 1.21455i | ||||
\(397\) | −18.8253 | − | 13.6774i | −0.944816 | − | 0.686449i | 0.00475885 | − | 0.999989i | \(-0.498485\pi\) |
−0.949575 | + | 0.313539i | \(0.898485\pi\) | |||||||
\(398\) | −2.11409 | − | 5.20471i | −0.105970 | − | 0.260889i | ||||
\(399\) | −0.185467 | −0.00928495 | ||||||||
\(400\) | −5.22903 | − | 19.3043i | −0.261451 | − | 0.965217i | ||||
\(401\) | 12.2917 | 0.613820 | 0.306910 | − | 0.951739i | \(-0.400705\pi\) | ||||
0.306910 | + | 0.951739i | \(0.400705\pi\) | |||||||
\(402\) | 1.72903 | + | 4.25673i | 0.0862363 | + | 0.212306i | ||||
\(403\) | 8.04262 | + | 5.84330i | 0.400631 | + | 0.291076i | ||||
\(404\) | −15.2692 | − | 15.6946i | −0.759672 | − | 0.780838i | ||||
\(405\) | −13.1743 | + | 12.8856i | −0.654637 | + | 0.640291i | ||||
\(406\) | −0.527837 | + | 2.13391i | −0.0261961 | + | 0.105904i | ||||
\(407\) | − | 11.6955i | − | 0.579724i | ||||||
\(408\) | 1.36873 | − | 3.12090i | 0.0677621 | − | 0.154507i | ||||
\(409\) | 9.76563 | + | 30.0555i | 0.482879 | + | 1.48615i | 0.835029 | + | 0.550206i | \(0.185451\pi\) |
−0.352150 | + | 0.935944i | \(0.614549\pi\) | |||||||
\(410\) | 14.5058 | − | 16.3795i | 0.716390 | − | 0.808926i | ||||
\(411\) | −3.66777 | − | 1.19173i | −0.180918 | − | 0.0587837i | ||||
\(412\) | 3.34481 | + | 23.1746i | 0.164787 | + | 1.14173i | ||||
\(413\) | −0.508829 | − | 1.56601i | −0.0250378 | − | 0.0770585i | ||||
\(414\) | 9.32850 | − | 3.78913i | 0.458471 | − | 0.186226i | ||||
\(415\) | −5.04361 | + | 4.93308i | −0.247581 | + | 0.242155i | ||||
\(416\) | 6.61725 | + | 8.30947i | 0.324437 | + | 0.407405i | ||||
\(417\) | −0.387905 | − | 0.533906i | −0.0189958 | − | 0.0261455i | ||||
\(418\) | 16.9406 | − | 14.2685i | 0.828591 | − | 0.697897i | ||||
\(419\) | 5.07417 | + | 6.98399i | 0.247889 | + | 0.341190i | 0.914771 | − | 0.403973i | \(-0.132371\pi\) |
−0.666881 | + | 0.745164i | \(0.732371\pi\) | |||||||
\(420\) | −0.0874013 | − | 0.293592i | −0.00426475 | − | 0.0143258i | ||||
\(421\) | 7.53026 | − | 10.3645i | 0.367002 | − | 0.505135i | −0.585081 | − | 0.810975i | \(-0.698937\pi\) |
0.952083 | + | 0.305840i | \(0.0989371\pi\) | |||||||
\(422\) | −1.48451 | − | 20.6775i | −0.0722649 | − | 1.00657i | ||||
\(423\) | 29.1736 | + | 9.47907i | 1.41847 | + | 0.460888i | ||||
\(424\) | −5.41138 | − | 9.25332i | −0.262800 | − | 0.449381i | ||||
\(425\) | −16.4344 | − | 12.5058i | −0.797186 | − | 0.606622i | ||||
\(426\) | 0.862483 | − | 0.726443i | 0.0417874 | − | 0.0351963i | ||||
\(427\) | 0.118224 | − | 0.363855i | 0.00572124 | − | 0.0176082i | ||||
\(428\) | −0.505513 | + | 0.491810i | −0.0244349 | + | 0.0237725i | ||||
\(429\) | 1.86234 | − | 2.56329i | 0.0899145 | − | 0.123757i | ||||
\(430\) | −12.8999 | − | 21.9245i | −0.622089 | − | 1.05729i | ||||
\(431\) | −24.3298 | + | 17.6766i | −1.17193 | + | 0.851454i | −0.991238 | − | 0.132087i | \(-0.957832\pi\) |
−0.180688 | + | 0.983541i | \(0.557832\pi\) | |||||||
\(432\) | −6.50290 | − | 2.31230i | −0.312871 | − | 0.111251i | ||||
\(433\) | −0.945079 | − | 1.30079i | −0.0454176 | − | 0.0625120i | 0.785704 | − | 0.618602i | \(-0.212301\pi\) |
−0.831122 | + | 0.556090i | \(0.812301\pi\) | |||||||
\(434\) | −0.928834 | + | 1.49261i | −0.0445855 | + | 0.0716474i | ||||
\(435\) | −3.86883 | + | 1.91758i | −0.185496 | + | 0.0919410i | ||||
\(436\) | −9.06544 | + | 17.2035i | −0.434156 | + | 0.823897i | ||||
\(437\) | −2.04369 | − | 6.28982i | −0.0977628 | − | 0.300883i | ||||
\(438\) | −3.29636 | + | 5.29714i | −0.157506 | + | 0.253107i | ||||
\(439\) | −11.7350 | + | 36.1165i | −0.560079 | + | 1.72374i | 0.122061 | + | 0.992523i | \(0.461050\pi\) |
−0.682139 | + | 0.731222i | \(0.738950\pi\) | |||||||
\(440\) | 30.5702 | + | 20.0927i | 1.45738 | + | 0.957882i | ||||
\(441\) | −6.25562 | − | 19.2528i | −0.297887 | − | 0.916801i | ||||
\(442\) | 10.6475 | + | 2.63373i | 0.506451 | + | 0.125274i | ||||
\(443\) | 19.5670 | 0.929654 | 0.464827 | − | 0.885402i | \(-0.346117\pi\) | ||||
0.464827 | + | 0.885402i | \(0.346117\pi\) | |||||||
\(444\) | 0.521070 | + | 1.05836i | 0.0247289 | + | 0.0502273i | ||||
\(445\) | 4.25400 | − | 25.0588i | 0.201659 | − | 1.18790i | ||||
\(446\) | 1.72681 | + | 24.0525i | 0.0817670 | + | 1.13892i | ||||
\(447\) | −2.64020 | + | 3.63392i | −0.124877 | + | 0.171879i | ||||
\(448\) | −1.38188 | + | 1.27242i | −0.0652878 | + | 0.0601162i | ||||
\(449\) | −33.2573 | −1.56951 | −0.784755 | − | 0.619806i | \(-0.787211\pi\) | ||||
−0.784755 | + | 0.619806i | \(0.787211\pi\) | |||||||
\(450\) | −11.2750 | + | 17.2542i | −0.531507 | + | 0.813372i | ||||
\(451\) | 40.0197i | 1.88445i | ||||||||
\(452\) | 0.305311 | − | 0.579389i | 0.0143606 | − | 0.0272522i | ||||
\(453\) | 0.0708145 | + | 0.0514498i | 0.00332716 | + | 0.00241732i | ||||
\(454\) | 20.6482 | − | 1.48241i | 0.969069 | − | 0.0695728i | ||||
\(455\) | 0.883377 | − | 0.437845i | 0.0414133 | − | 0.0205265i | ||||
\(456\) | −0.897291 | + | 2.04595i | −0.0420195 | + | 0.0958106i | ||||
\(457\) | − | 15.5897i | − | 0.729254i | −0.931154 | − | 0.364627i | \(-0.881197\pi\) | ||
0.931154 | − | 0.364627i | \(-0.118803\pi\) | |||||||
\(458\) | −8.36739 | − | 2.06972i | −0.390982 | − | 0.0967119i | ||||
\(459\) | −6.77780 | + | 2.20224i | −0.316361 | + | 0.102792i | ||||
\(460\) | 8.99363 | − | 6.19921i | 0.419330 | − | 0.289040i | ||||
\(461\) | −5.51241 | − | 1.79109i | −0.256739 | − | 0.0834194i | 0.177820 | − | 0.984063i | \(-0.443096\pi\) |
−0.434558 | + | 0.900644i | \(0.643096\pi\) | |||||||
\(462\) | 0.475713 | + | 0.296032i | 0.0221322 | + | 0.0137726i | ||||
\(463\) | −11.3046 | + | 3.67309i | −0.525370 | + | 0.170703i | −0.559681 | − | 0.828708i | \(-0.689076\pi\) |
0.0343111 | + | 0.999411i | \(0.489076\pi\) | |||||||
\(464\) | 20.9863 | + | 16.1467i | 0.974266 | + | 0.749591i | ||||
\(465\) | −3.41653 | + | 0.502393i | −0.158438 | + | 0.0232979i | ||||
\(466\) | 5.33242 | − | 8.56902i | 0.247019 | − | 0.396952i | ||||
\(467\) | −20.1818 | + | 14.6630i | −0.933903 | + | 0.678521i | −0.946945 | − | 0.321394i | \(-0.895848\pi\) |
0.0130420 | + | 0.999915i | \(0.495848\pi\) | |||||||
\(468\) | 1.86090 | − | 10.7878i | 0.0860199 | − | 0.498668i | ||||
\(469\) | −1.53710 | − | 2.11564i | −0.0709767 | − | 0.0976910i | ||||
\(470\) | 33.1234 | + | 3.20594i | 1.52787 | + | 0.147879i | ||||
\(471\) | 4.93072 | + | 3.58238i | 0.227196 | + | 0.165067i | ||||
\(472\) | −19.7370 | − | 1.96332i | −0.908470 | − | 0.0903691i | ||||
\(473\) | 44.2515 | + | 14.3782i | 2.03468 | + | 0.661109i | ||||
\(474\) | −4.04723 | + | 3.40886i | −0.185895 | + | 0.156574i | ||||
\(475\) | 10.7738 | + | 8.19839i | 0.494337 | + | 0.376168i | ||||
\(476\) | −0.329721 | + | 1.91143i | −0.0151127 | + | 0.0876105i | ||||
\(477\) | −3.41377 | + | 10.5065i | −0.156306 | + | 0.481060i | ||||
\(478\) | 7.56403 | − | 0.543048i | 0.345971 | − | 0.0248384i | ||||
\(479\) | 12.4287 | + | 9.02994i | 0.567880 | + | 0.412589i | 0.834334 | − | 0.551259i | \(-0.185852\pi\) |
−0.266455 | + | 0.963847i | \(0.585852\pi\) | |||||||
\(480\) | −3.66157 | − | 0.456245i | −0.167127 | − | 0.0208246i | ||||
\(481\) | −3.07174 | + | 2.23175i | −0.140059 | + | 0.101759i | ||||
\(482\) | −2.04258 | + | 1.72041i | −0.0930372 | + | 0.0783624i | ||||
\(483\) | 0.135350 | − | 0.0983377i | 0.00615865 | − | 0.00447452i | ||||
\(484\) | −44.4521 | + | 6.41580i | −2.02055 | + | 0.291627i | ||||
\(485\) | 7.26846 | − | 13.8828i | 0.330044 | − | 0.630384i | ||||
\(486\) | 4.03437 | + | 9.93226i | 0.183003 | + | 0.450536i | ||||
\(487\) | 21.4527 | − | 6.97042i | 0.972117 | − | 0.315860i | 0.220447 | − | 0.975399i | \(-0.429249\pi\) |
0.751670 | + | 0.659539i | \(0.229249\pi\) | |||||||
\(488\) | −3.44185 | − | 3.06451i | −0.155805 | − | 0.138724i | ||||
\(489\) | −1.12782 | + | 3.47109i | −0.0510020 | + | 0.156968i | ||||
\(490\) | −11.1370 | − | 18.9283i | −0.503118 | − | 0.855091i | ||||
\(491\) | −7.25634 | + | 2.35773i | −0.327474 | + | 0.106403i | −0.468140 | − | 0.883654i | \(-0.655076\pi\) |
0.140666 | + | 0.990057i | \(0.455076\pi\) | |||||||
\(492\) | −1.78300 | − | 3.62149i | −0.0803839 | − | 0.163269i | ||||
\(493\) | 27.3417 | 1.23141 | ||||||||
\(494\) | −6.98016 | − | 1.72658i | −0.314052 | − | 0.0776827i | ||||
\(495\) | −5.48481 | − | 37.2995i | −0.246524 | − | 1.67649i | ||||
\(496\) | 11.9718 | + | 17.4676i | 0.537550 | + | 0.784317i | ||||
\(497\) | −0.377259 | + | 0.519253i | −0.0169224 | + | 0.0232917i | ||||
\(498\) | 0.489832 | + | 1.20592i | 0.0219499 | + | 0.0540387i | ||||
\(499\) | − | 26.9689i | − | 1.20729i | −0.797252 | − | 0.603647i | \(-0.793714\pi\) | ||
0.797252 | − | 0.603647i | \(-0.206286\pi\) | |||||||
\(500\) | −7.90079 | + | 20.9184i | −0.353334 | + | 0.935497i | ||||
\(501\) | 6.28680i | 0.280874i | ||||||||
\(502\) | −5.96216 | + | 2.42176i | −0.266104 | + | 0.108088i | ||||
\(503\) | −18.0952 | + | 24.9059i | −0.806825 | + | 1.11050i | 0.184980 | + | 0.982742i | \(0.440778\pi\) |
−0.991805 | + | 0.127757i | \(0.959222\pi\) | |||||||
\(504\) | 1.92640 | + | 0.191626i | 0.0858086 | + | 0.00853572i | ||||
\(505\) | 3.56163 | + | 24.2209i | 0.158491 | + | 1.07782i | ||||
\(506\) | −4.79750 | + | 19.3951i | −0.213275 | + | 0.862218i | ||||
\(507\) | 2.76364 | 0.122738 | ||||||||
\(508\) | 16.5764 | − | 8.16120i | 0.735458 | − | 0.362095i | ||||
\(509\) | 3.29675 | − | 1.07118i | 0.146126 | − | 0.0474792i | −0.235041 | − | 0.971986i | \(-0.575522\pi\) |
0.381167 | + | 0.924506i | \(0.375522\pi\) | |||||||
\(510\) | −3.28384 | + | 1.93214i | −0.145411 | + | 0.0855567i | ||||
\(511\) | 1.09735 | − | 3.37731i | 0.0485441 | − | 0.149403i | ||||
\(512\) | 7.35098 | + | 21.4001i | 0.324871 | + | 0.945758i | ||||
\(513\) | 4.44330 | − | 1.44371i | 0.196176 | − | 0.0637416i | ||||
\(514\) | −9.15968 | + | 3.72056i | −0.404016 | + | 0.164107i | ||||
\(515\) | 12.1425 | − | 23.1921i | 0.535061 | − | 1.02197i | ||||
\(516\) | −4.64503 | + | 0.670420i | −0.204486 | + | 0.0295136i | ||||
\(517\) | −49.2443 | + | 35.7781i | −2.16576 | + | 1.57352i | ||||
\(518\) | −0.432549 | − | 0.513552i | −0.0190051 | − | 0.0225642i | ||||
\(519\) | −0.376068 | + | 0.273229i | −0.0165076 | + | 0.0119934i | ||||
\(520\) | −0.556239 | − | 11.8632i | −0.0243927 | − | 0.520234i | ||||
\(521\) | −32.2980 | − | 23.4659i | −1.41500 | − | 1.02806i | −0.992571 | − | 0.121663i | \(-0.961177\pi\) |
−0.422430 | − | 0.906395i | \(-0.638823\pi\) | |||||||
\(522\) | −1.95412 | − | 27.2186i | −0.0855294 | − | 1.19133i | ||||
\(523\) | −1.93267 | + | 5.94816i | −0.0845099 | + | 0.260095i | −0.984378 | − | 0.176067i | \(-0.943662\pi\) |
0.899868 | + | 0.436162i | \(0.143662\pi\) | |||||||
\(524\) | 14.9554 | + | 2.57980i | 0.653329 | + | 0.112699i | ||||
\(525\) | −0.113023 | + | 0.323295i | −0.00493272 | + | 0.0141098i | ||||
\(526\) | −20.6082 | − | 24.4674i | −0.898559 | − | 1.06683i | ||||
\(527\) | 20.7960 | + | 6.75704i | 0.905890 | + | 0.294341i | ||||
\(528\) | 5.56715 | − | 3.81557i | 0.242279 | − | 0.166051i | ||||
\(529\) | −13.7810 | − | 10.0125i | −0.599173 | − | 0.435325i | ||||
\(530\) | −1.15458 | + | 11.9290i | −0.0501518 | + | 0.518162i | ||||
\(531\) | 12.0148 | + | 16.5370i | 0.521399 | + | 0.717644i | ||||
\(532\) | 0.216154 | − | 1.25307i | 0.00937147 | − | 0.0543275i | ||||
\(533\) | 10.5109 | − | 7.63661i | 0.455277 | − | 0.330778i | ||||
\(534\) | −3.98140 | − | 2.47758i | −0.172292 | − | 0.107216i | ||||
\(535\) | 0.780138 | − | 0.114718i | 0.0337283 | − | 0.00495967i | ||||
\(536\) | −30.7749 | + | 6.72085i | −1.32927 | + | 0.290296i | ||||
\(537\) | 3.07415 | − | 0.998852i | 0.132659 | − | 0.0431036i | ||||
\(538\) | −4.69025 | + | 7.53708i | −0.202211 | + | 0.324947i | ||||
\(539\) | 38.2040 | + | 12.4132i | 1.64556 | + | 0.534676i | ||||
\(540\) | 4.37929 | + | 6.35334i | 0.188455 | + | 0.273404i | ||||
\(541\) | 19.5034 | − | 6.33705i | 0.838518 | − | 0.272451i | 0.141889 | − | 0.989883i | \(-0.454682\pi\) |
0.696629 | + | 0.717432i | \(0.254682\pi\) | |||||||
\(542\) | −1.15453 | + | 4.66746i | −0.0495911 | + | 0.200485i | ||||
\(543\) | − | 5.85576i | − | 0.251295i | ||||||
\(544\) | 19.4906 | + | 12.8848i | 0.835651 | + | 0.552433i | ||||
\(545\) | 19.4797 | − | 9.65507i | 0.834417 | − | 0.413578i | ||||
\(546\) | −0.0130256 | − | 0.181432i | −0.000557445 | − | 0.00776457i | ||||
\(547\) | 17.9423 | + | 13.0358i | 0.767157 | + | 0.557372i | 0.901097 | − | 0.433617i | \(-0.142763\pi\) |
−0.133940 | + | 0.990989i | \(0.542763\pi\) | |||||||
\(548\) | 12.3263 | − | 23.3917i | 0.526555 | − | 0.999243i | ||||
\(549\) | 4.74932i | 0.202696i | ||||||||
\(550\) | −14.5486 | − | 38.2251i | −0.620353 | − | 1.62992i | ||||
\(551\) | −17.9243 | −0.763599 | ||||||||
\(552\) | −0.429973 | − | 1.96886i | −0.0183009 | − | 0.0838002i | ||||
\(553\) | 1.77030 | − | 2.43661i | 0.0752808 | − | 0.103615i | ||||
\(554\) | −36.3149 | + | 2.60717i | −1.54287 | + | 0.110768i | ||||
\(555\) | 0.220742 | − | 1.30031i | 0.00936998 | − | 0.0551952i | ||||
\(556\) | 4.05933 | − | 1.99857i | 0.172154 | − | 0.0847580i | ||||
\(557\) | 36.8641 | 1.56198 | 0.780991 | − | 0.624543i | \(-0.214715\pi\) | ||||
0.780991 | + | 0.624543i | \(0.214715\pi\) | |||||||
\(558\) | 5.24033 | − | 21.1854i | 0.221841 | − | 0.896848i | ||||
\(559\) | −4.66780 | − | 14.3660i | −0.197427 | − | 0.607617i | ||||
\(560\) | 2.08546 | − | 0.248341i | 0.0881268 | − | 0.0104943i | ||||
\(561\) | 2.15356 | − | 6.62797i | 0.0909233 | − | 0.279833i | ||||
\(562\) | 4.69045 | + | 2.91882i | 0.197855 | + | 0.123123i | ||||
\(563\) | −12.7139 | − | 39.1294i | −0.535828 | − | 1.64911i | −0.741854 | − | 0.670561i | \(-0.766053\pi\) |
0.206027 | − | 0.978546i | \(-0.433947\pi\) | |||||||
\(564\) | 2.86222 | − | 5.43164i | 0.120521 | − | 0.228713i | ||||
\(565\) | −0.656048 | + | 0.325169i | −0.0276001 | + | 0.0136800i | ||||
\(566\) | 1.54221 | + | 0.959702i | 0.0648240 | + | 0.0403393i | ||||
\(567\) | −1.13745 | − | 1.56557i | −0.0477685 | − | 0.0657477i | ||||
\(568\) | 3.90289 | + | 6.67385i | 0.163762 | + | 0.280028i | ||||
\(569\) | −2.43983 | + | 1.77264i | −0.102283 | + | 0.0743130i | −0.637751 | − | 0.770242i | \(-0.720135\pi\) |
0.535468 | + | 0.844555i | \(0.320135\pi\) | |||||||
\(570\) | 2.15277 | − | 1.26665i | 0.0901697 | − | 0.0530540i | ||||
\(571\) | 8.11104 | − | 11.1639i | 0.339436 | − | 0.467194i | −0.604840 | − | 0.796347i | \(-0.706763\pi\) |
0.944277 | + | 0.329153i | \(0.106763\pi\) | |||||||
\(572\) | 15.1479 | + | 15.5699i | 0.633365 | + | 0.651012i | ||||
\(573\) | 1.70873 | − | 5.25893i | 0.0713833 | − | 0.219695i | ||||
\(574\) | 1.48010 | + | 1.75728i | 0.0617782 | + | 0.0733473i | ||||
\(575\) | −12.2095 | − | 0.270562i | −0.509170 | − | 0.0112832i | ||||
\(576\) | 11.4338 | − | 20.3237i | 0.476410 | − | 0.846822i | ||||
\(577\) | 12.5473 | + | 4.07686i | 0.522351 | + | 0.169722i | 0.558312 | − | 0.829631i | \(-0.311449\pi\) |
−0.0359612 | + | 0.999353i | \(0.511449\pi\) | |||||||
\(578\) | 0.0838002 | − | 0.00601630i | 0.00348563 | − | 0.000250245i | ||||
\(579\) | −0.451554 | + | 0.621511i | −0.0187659 | + | 0.0258291i | ||||
\(580\) | −8.44682 | − | 28.3739i | −0.350735 | − | 1.17816i | ||||
\(581\) | −0.435458 | − | 0.599356i | −0.0180658 | − | 0.0248655i | ||||
\(582\) | −1.86247 | − | 2.21126i | −0.0772020 | − | 0.0916595i | ||||
\(583\) | −12.8850 | − | 17.7347i | −0.533644 | − | 0.734498i | ||||
\(584\) | −31.9474 | − | 28.4448i | −1.32199 | − | 1.17705i | ||||
\(585\) | −8.74984 | + | 8.55809i | −0.361761 | + | 0.353833i | ||||
\(586\) | 4.55049 | + | 11.2029i | 0.187979 | + | 0.462788i | ||||
\(587\) | −8.38908 | − | 25.8189i | −0.346254 | − | 1.06566i | −0.960909 | − | 0.276865i | \(-0.910705\pi\) |
0.614655 | − | 0.788796i | \(-0.289295\pi\) | |||||||
\(588\) | −4.01023 | + | 0.578800i | −0.165379 | + | 0.0238693i | ||||
\(589\) | −13.6332 | − | 4.42969i | −0.561745 | − | 0.182522i | ||||
\(590\) | 16.6012 | + | 14.7022i | 0.683462 | + | 0.605279i | ||||
\(591\) | 2.27531 | + | 7.00269i | 0.0935939 | + | 0.288052i | ||||
\(592\) | −7.75787 | + | 2.28704i | −0.318846 | + | 0.0939968i | ||||
\(593\) | − | 10.5301i | − | 0.432420i | −0.976347 | − | 0.216210i | \(-0.930630\pi\) | ||
0.976347 | − | 0.216210i | \(-0.0693696\pi\) | |||||||
\(594\) | −13.7012 | − | 3.38908i | −0.562168 | − | 0.139056i | ||||
\(595\) | 1.55033 | − | 1.51636i | 0.0635574 | − | 0.0621646i | ||||
\(596\) | −21.4749 | − | 22.0732i | −0.879645 | − | 0.904153i | ||||
\(597\) | 0.937461 | + | 0.681105i | 0.0383677 | + | 0.0278758i | ||||
\(598\) | 6.00945 | − | 2.44097i | 0.245745 | − | 0.0998187i | ||||
\(599\) | 20.1787 | 0.824481 | 0.412241 | − | 0.911075i | \(-0.364746\pi\) | ||||
0.412241 | + | 0.911075i | \(0.364746\pi\) | |||||||
\(600\) | 3.01958 | + | 2.81091i | 0.123274 | + | 0.114755i | ||||
\(601\) | 11.7592 | 0.479669 | 0.239834 | − | 0.970814i | \(-0.422907\pi\) | ||||
0.239834 | + | 0.970814i | \(0.422907\pi\) | |||||||
\(602\) | 2.47486 | − | 1.00526i | 0.100868 | − | 0.0409713i | ||||
\(603\) | 26.2634 | + | 19.0815i | 1.06953 | + | 0.777058i | ||||
\(604\) | −0.430142 | + | 0.418483i | −0.0175022 | + | 0.0170278i | ||||
\(605\) | 44.4856 | + | 23.2909i | 1.80860 | + | 0.946909i | ||||
\(606\) | 4.38453 | + | 1.08454i | 0.178110 | + | 0.0440565i | ||||
\(607\) | − | 35.8362i | − | 1.45455i | −0.686347 | − | 0.727274i | \(-0.740787\pi\) | ||
0.686347 | − | 0.727274i | \(-0.259213\pi\) | |||||||
\(608\) | −12.7774 | − | 8.44686i | −0.518190 | − | 0.342565i | ||||
\(609\) | −0.140118 | − | 0.431238i | −0.00567785 | − | 0.0174746i | ||||
\(610\) | 1.11269 | + | 5.03079i | 0.0450516 | + | 0.203691i | ||||
\(611\) | 18.7937 | + | 6.10645i | 0.760313 | + | 0.247041i | ||||
\(612\) | −3.43968 | − | 23.8319i | −0.139041 | − | 0.963349i | ||||
\(613\) | 3.94986 | + | 12.1564i | 0.159533 | + | 0.490994i | 0.998592 | − | 0.0530477i | \(-0.0168935\pi\) |
−0.839059 | + | 0.544041i | \(0.816894\pi\) | |||||||
\(614\) | 5.90324 | + | 14.5333i | 0.238235 | + | 0.586515i | ||||
\(615\) | −0.755337 | + | 4.44942i | −0.0304581 | + | 0.179418i | ||||
\(616\) | −2.55451 | + | 2.86906i | −0.102924 | + | 0.115598i | ||||
\(617\) | −9.18527 | − | 12.6424i | −0.369785 | − | 0.508965i | 0.583057 | − | 0.812431i | \(-0.301856\pi\) |
−0.952842 | + | 0.303466i | \(0.901856\pi\) | |||||||
\(618\) | −3.11139 | − | 3.69406i | −0.125159 | − | 0.148597i | ||||
\(619\) | 20.9771 | + | 28.8724i | 0.843139 | + | 1.16048i | 0.985333 | + | 0.170643i | \(0.0545844\pi\) |
−0.142194 | + | 0.989839i | \(0.545416\pi\) | |||||||
\(620\) | 0.587502 | − | 23.6687i | 0.0235947 | − | 0.950556i | ||||
\(621\) | −2.47715 | + | 3.40951i | −0.0994048 | + | 0.136819i | ||||
\(622\) | −42.4013 | + | 3.04413i | −1.70014 | + | 0.122059i | ||||
\(623\) | 2.53843 | + | 0.824786i | 0.101700 | + | 0.0330444i | ||||
\(624\) | −2.06446 | − | 0.734080i | −0.0826446 | − | 0.0293867i | ||||
\(625\) | 20.8565 | − | 13.7843i | 0.834261 | − | 0.551370i | ||||
\(626\) | −0.0335258 | − | 0.0398041i | −0.00133996 | − | 0.00159089i | ||||
\(627\) | −1.41180 | + | 4.34507i | −0.0563818 | + | 0.173525i | ||||
\(628\) | −29.9502 | + | 29.1384i | −1.19514 | + | 1.16275i | ||||
\(629\) | −4.90885 | + | 6.75645i | −0.195729 | + | 0.269397i | ||||
\(630\) | −1.62034 | − | 1.43498i | −0.0645557 | − | 0.0571710i | ||||
\(631\) | 36.4157 | − | 26.4575i | 1.44969 | − | 1.05326i | 0.463781 | − | 0.885950i | \(-0.346492\pi\) |
0.985905 | − | 0.167308i | \(-0.0535075\pi\) | |||||||
\(632\) | −18.3144 | − | 31.3172i | −0.728509 | − | 1.24573i | ||||
\(633\) | 2.51346 | + | 3.45948i | 0.0999010 | + | 0.137502i | ||||
\(634\) | 19.5306 | + | 12.1537i | 0.775660 | + | 0.482686i | ||||
\(635\) | −20.3660 | − | 3.45735i | −0.808199 | − | 0.137201i | ||||
\(636\) | 1.95614 | + | 1.03080i | 0.0775660 | + | 0.0408737i | ||||
\(637\) | −4.02989 | − | 12.4027i | −0.159670 | − | 0.491414i | ||||
\(638\) | 45.9749 | + | 28.6097i | 1.82016 | + | 1.13267i | ||||
\(639\) | 2.46214 | − | 7.57770i | 0.0974009 | − | 0.299769i | ||||
\(640\) | 7.34995 | − | 24.2070i | 0.290532 | − | 0.956865i | ||||
\(641\) | 4.02897 | + | 12.3999i | 0.159135 | + | 0.489766i | 0.998556 | − | 0.0537145i | \(-0.0171061\pi\) |
−0.839422 | + | 0.543481i | \(0.817106\pi\) | |||||||
\(642\) | 0.0349323 | − | 0.141223i | 0.00137867 | − | 0.00557361i | ||||
\(643\) | −34.5558 | −1.36275 | −0.681375 | − | 0.731935i | \(-0.738618\pi\) | ||||
−0.681375 | + | 0.731935i | \(0.738618\pi\) | |||||||
\(644\) | 0.506655 | + | 1.02908i | 0.0199650 | + | 0.0405513i | ||||
\(645\) | 4.64853 | + | 2.43378i | 0.183036 | + | 0.0958301i | ||||
\(646\) | −15.7753 | + | 1.13257i | −0.620673 | + | 0.0445602i | ||||
\(647\) | 5.64166 | − | 7.76508i | 0.221797 | − | 0.305277i | −0.683589 | − | 0.729867i | \(-0.739582\pi\) |
0.905386 | + | 0.424590i | \(0.139582\pi\) | |||||||
\(648\) | −22.7734 | + | 4.97342i | −0.894624 | + | 0.195374i | ||||
\(649\) | −40.5615 | −1.59218 | ||||||||
\(650\) | −7.26337 | + | 11.1152i | −0.284893 | + | 0.435975i | ||||
\(651\) | − | 0.362627i | − | 0.0142125i | ||||||
\(652\) | −22.1373 | − | 11.6654i | −0.866965 | − | 0.456851i | ||||
\(653\) | 19.7759 | + | 14.3680i | 0.773889 | + | 0.562263i | 0.903139 | − | 0.429349i | \(-0.141257\pi\) |
−0.129250 | + | 0.991612i | \(0.541257\pi\) | |||||||
\(654\) | −0.287233 | − | 4.00082i | −0.0112317 | − | 0.156444i | ||||
\(655\) | −11.8642 | − | 12.1301i | −0.463574 | − | 0.473961i | ||||
\(656\) | 26.5459 | − | 7.82581i | 1.03644 | − | 0.305547i | ||||
\(657\) | 44.0833i | 1.71985i | ||||||||
\(658\) | −0.839104 | + | 3.39229i | −0.0327117 | + | 0.132245i | ||||
\(659\) | −41.1516 | + | 13.3710i | −1.60304 | + | 0.520859i | −0.967857 | − | 0.251502i | \(-0.919076\pi\) |
−0.635184 | + | 0.772361i | \(0.719076\pi\) | |||||||
\(660\) | −7.54351 | − | 0.187245i | −0.293631 | − | 0.00728849i | ||||
\(661\) | 33.1551 | + | 10.7728i | 1.28958 | + | 0.419012i | 0.871946 | − | 0.489602i | \(-0.162858\pi\) |
0.417639 | + | 0.908613i | \(0.362858\pi\) | |||||||
\(662\) | −16.9754 | + | 27.2789i | −0.659767 | + | 1.06022i | ||||
\(663\) | −2.15173 | + | 0.699141i | −0.0835664 | + | 0.0271524i | ||||
\(664\) | −8.71848 | + | 1.90400i | −0.338343 | + | 0.0738897i | ||||
\(665\) | −1.01635 | + | 0.994073i | −0.0394122 | + | 0.0385485i | ||||
\(666\) | 7.07688 | + | 4.40387i | 0.274224 | + | 0.170647i | ||||
\(667\) | 13.0808 | − | 9.50375i | 0.506490 | − | 0.367987i | ||||
\(668\) | −42.4756 | − | 7.32702i | −1.64343 | − | 0.283491i | ||||
\(669\) | −2.92371 | − | 4.02414i | −0.113037 | − | 0.155582i | ||||
\(670\) | 32.2904 | + | 14.0592i | 1.24749 | + | 0.543156i | ||||
\(671\) | −7.62437 | − | 5.53943i | −0.294336 | − | 0.213847i | ||||
\(672\) | 0.103339 | − | 0.373440i | 0.00398638 | − | 0.0144057i | ||||
\(673\) | −10.2698 | − | 3.33688i | −0.395874 | − | 0.128627i | 0.104314 | − | 0.994544i | \(-0.466735\pi\) |
−0.500187 | + | 0.865917i | \(0.666735\pi\) | |||||||
\(674\) | −17.1400 | − | 20.3497i | −0.660207 | − | 0.783842i | ||||
\(675\) | 0.191132 | − | 8.62510i | 0.00735668 | − | 0.331980i | ||||
\(676\) | −3.22091 | + | 18.6720i | −0.123881 | + | 0.718155i | ||||
\(677\) | 12.9196 | − | 39.7626i | 0.496542 | − | 1.52820i | −0.317997 | − | 0.948092i | \(-0.603010\pi\) |
0.814539 | − | 0.580109i | \(-0.196990\pi\) | |||||||
\(678\) | 0.00967359 | + | 0.134742i | 0.000371512 | + | 0.00517474i | ||||
\(679\) | 1.33127 | + | 0.967228i | 0.0510896 | + | 0.0371188i | ||||
\(680\) | −9.22698 | − | 24.4385i | −0.353839 | − | 0.937173i | ||||
\(681\) | −3.45457 | + | 2.50989i | −0.132380 | + | 0.0961794i | ||||
\(682\) | 27.8980 | + | 33.1224i | 1.06827 | + | 1.26832i | ||||
\(683\) | 16.0534 | − | 11.6635i | 0.614267 | − | 0.446291i | −0.236647 | − | 0.971596i | \(-0.576049\pi\) |
0.850914 | + | 0.525305i | \(0.176049\pi\) | |||||||
\(684\) | 2.25494 | + | 15.6234i | 0.0862197 | + | 0.597376i | ||||
\(685\) | −26.4866 | + | 13.1281i | −1.01200 | + | 0.501598i | ||||
\(686\) | 4.29025 | − | 1.74265i | 0.163803 | − | 0.0665347i | ||||
\(687\) | 1.69095 | − | 0.549422i | 0.0645136 | − | 0.0209617i | ||||
\(688\) | 0.884021 | − | 32.1646i | 0.0337030 | − | 1.22626i | ||||
\(689\) | −2.19917 | + | 6.76834i | −0.0837815 | + | 0.257853i | ||||
\(690\) | −0.899455 | + | 2.06581i | −0.0342417 | + | 0.0786441i | ||||
\(691\) | −15.2658 | + | 4.96017i | −0.580740 | + | 0.188694i | −0.584632 | − | 0.811299i | \(-0.698761\pi\) |
0.00389213 | + | 0.999992i | \(0.498761\pi\) | |||||||
\(692\) | −1.40773 | − | 2.85927i | −0.0535139 | − | 0.108693i | ||||
\(693\) | 3.95893 | 0.150387 | ||||||||
\(694\) | 10.0307 | − | 40.5517i | 0.380761 | − | 1.53932i | ||||
\(695\) | −4.98735 | − | 0.846657i | −0.189181 | − | 0.0321155i | ||||
\(696\) | −5.43504 | − | 0.540645i | −0.206015 | − | 0.0204931i | ||||
\(697\) | 16.7971 | − | 23.1193i | 0.636237 | − | 0.875705i | ||||
\(698\) | 20.6540 | − | 8.38942i | 0.781766 | − | 0.317544i | ||||
\(699\) | 2.08183i | 0.0787422i | ||||||||
\(700\) | −2.05256 | − | 1.14041i | −0.0775794 | − | 0.0431033i | ||||
\(701\) | − | 15.2259i | − | 0.575073i | −0.957770 | − | 0.287537i | \(-0.907164\pi\) | ||
0.957770 | − | 0.287537i | \(-0.0928363\pi\) | |||||||
\(702\) | 1.72437 | + | 4.24524i | 0.0650820 | + | 0.160226i | ||||
\(703\) | 3.21807 | − | 4.42930i | 0.121372 | − | 0.167054i | ||||
\(704\) | 19.2909 | + | 42.0603i | 0.727053 | + | 1.58521i | ||||
\(705\) | −6.15030 | + | 3.04839i | −0.231634 | + | 0.114809i | ||||
\(706\) | 11.2078 | + | 2.77231i | 0.421810 | + | 0.104337i | ||||
\(707\) | −2.57079 | −0.0966843 | ||||||||
\(708\) | 3.67052 | − | 1.80714i | 0.137946 | − | 0.0679164i | ||||
\(709\) | 35.0361 | − | 11.3839i | 1.31581 | − | 0.427532i | 0.434754 | − | 0.900549i | \(-0.356835\pi\) |
0.881053 | + | 0.473018i | \(0.156835\pi\) | |||||||
\(710\) | 0.832728 | − | 8.60364i | 0.0312517 | − | 0.322889i | ||||
\(711\) | −11.5537 | + | 35.5586i | −0.433297 | + | 1.33355i | ||||
\(712\) | 21.3795 | − | 24.0121i | 0.801231 | − | 0.899890i | ||||
\(713\) | 12.2979 | − | 3.99584i | 0.460561 | − | 0.149645i | ||||
\(714\) | −0.150567 | − | 0.370684i | −0.00563485 | − | 0.0138725i | ||||
\(715\) | −3.53333 | − | 24.0285i | −0.132139 | − | 0.898614i | ||||
\(716\) | 3.16576 | + | 21.9340i | 0.118310 | + | 0.819714i | ||||
\(717\) | −1.26551 | + | 0.919446i | −0.0472613 | + | 0.0343373i | ||||
\(718\) | −32.9899 | + | 27.7864i | −1.23117 | + | 1.03698i | ||||
\(719\) | 17.8070 | − | 12.9375i | 0.664088 | − | 0.482488i | −0.203953 | − | 0.978981i | \(-0.565379\pi\) |
0.868041 | + | 0.496492i | \(0.165379\pi\) | |||||||
\(720\) | −23.6690 | + | 10.9321i | −0.882093 | + | 0.407415i | ||||
\(721\) | 2.22399 | + | 1.61582i | 0.0828256 | + | 0.0601763i | ||||
\(722\) | −16.4593 | + | 1.18167i | −0.612551 | + | 0.0439772i | ||||
\(723\) | 0.170225 | − | 0.523900i | 0.00633075 | − | 0.0194840i | ||||
\(724\) | 39.5633 | + | 6.82465i | 1.47036 | + | 0.253636i | ||||
\(725\) | −10.9230 | + | 31.2446i | −0.405670 | + | 1.16039i | ||||
\(726\) | 7.08570 | − | 5.96807i | 0.262975 | − | 0.221496i | ||||
\(727\) | −37.4888 | − | 12.1809i | −1.39038 | − | 0.451763i | −0.484315 | − | 0.874894i | \(-0.660931\pi\) |
−0.906069 | + | 0.423131i | \(0.860931\pi\) | |||||||
\(728\) | 1.24099 | + | 0.123446i | 0.0459942 | + | 0.00457523i | ||||
\(729\) | 18.2133 | + | 13.2327i | 0.674566 | + | 0.490101i | ||||
\(730\) | 10.3280 | + | 46.6959i | 0.382257 | + | 1.72829i | ||||
\(731\) | −19.5291 | − | 26.8795i | −0.722311 | − | 0.994176i | ||||
\(732\) | 0.936748 | + | 0.161589i | 0.0346232 | + | 0.00597248i | ||||
\(733\) | −20.6186 | + | 14.9803i | −0.761565 | + | 0.553309i | −0.899390 | − | 0.437147i | \(-0.855989\pi\) |
0.137825 | + | 0.990457i | \(0.455989\pi\) | |||||||
\(734\) | −5.60446 | + | 9.00619i | −0.206864 | + | 0.332425i | ||||
\(735\) | 4.01326 | + | 2.10118i | 0.148031 | + | 0.0775032i | ||||
\(736\) | 13.8033 | − | 0.610410i | 0.508798 | − | 0.0225000i | ||||
\(737\) | −61.2653 | + | 19.9063i | −2.25674 | + | 0.733258i | ||||
\(738\) | −24.2157 | − | 15.0692i | −0.891393 | − | 0.554705i | ||||
\(739\) | −8.47753 | − | 2.75452i | −0.311851 | − | 0.101327i | 0.148910 | − | 0.988851i | \(-0.452424\pi\) |
−0.460761 | + | 0.887524i | \(0.652424\pi\) | |||||||
\(740\) | 8.52805 | + | 3.00687i | 0.313497 | + | 0.110535i | ||||
\(741\) | 1.41060 | − | 0.458333i | 0.0518198 | − | 0.0168373i | ||||
\(742\) | −1.22169 | − | 0.302193i | −0.0448498 | − | 0.0110939i | ||||
\(743\) | 21.5410i | 0.790261i | 0.918625 | + | 0.395130i | \(0.129301\pi\) | ||||
−0.918625 | + | 0.395130i | \(0.870699\pi\) | |||||||
\(744\) | −4.00027 | − | 1.75439i | −0.146657 | − | 0.0643192i | ||||
\(745\) | 5.00914 | + | 34.0647i | 0.183521 | + | 1.24803i | ||||
\(746\) | −17.9959 | + | 1.29199i | −0.658878 | + | 0.0473031i | ||||
\(747\) | 7.44038 | + | 5.40575i | 0.272229 | + | 0.197786i | ||||
\(748\) | 42.2708 | + | 22.2747i | 1.54557 | + | 0.814445i | ||||
\(749\) | 0.0828031i | 0.00302556i | ||||||||
\(750\) | −0.896053 | − | 4.52448i | −0.0327192 | − | 0.165211i | ||||
\(751\) | 31.4361 | 1.14712 | 0.573561 | − | 0.819163i | \(-0.305562\pi\) | ||||
0.573561 | + | 0.819163i | \(0.305562\pi\) | |||||||
\(752\) | 33.3621 | + | 25.6684i | 1.21659 | + | 0.936032i | ||||
\(753\) | 0.780227 | − | 1.07389i | 0.0284331 | − | 0.0391347i | ||||
\(754\) | −1.25885 | − | 17.5343i | −0.0458446 | − | 0.638562i | ||||
\(755\) | 0.663822 | − | 0.0976135i | 0.0241589 | − | 0.00355252i | ||||
\(756\) | −0.726967 | + | 0.357915i | −0.0264396 | + | 0.0130172i | ||||
\(757\) | −3.46461 | −0.125924 | −0.0629618 | − | 0.998016i | \(-0.520055\pi\) | ||||
−0.0629618 | + | 0.998016i | \(0.520055\pi\) | |||||||
\(758\) | 16.8174 | + | 4.15988i | 0.610834 | + | 0.151093i | ||||
\(759\) | −1.27353 | − | 3.91951i | −0.0462261 | − | 0.142269i | ||||
\(760\) | 6.04890 | + | 16.0210i | 0.219417 | + | 0.581144i | ||||
\(761\) | −6.25196 | + | 19.2415i | −0.226633 | + | 0.697505i | 0.771488 | + | 0.636243i | \(0.219513\pi\) |
−0.998122 | + | 0.0612621i | \(0.980487\pi\) | |||||||
\(762\) | −2.01360 | + | 3.23580i | −0.0729452 | + | 0.117221i | ||||
\(763\) | 0.705496 | + | 2.17129i | 0.0255407 | + | 0.0786061i | ||||
\(764\) | 33.5396 | + | 17.6738i | 1.21342 | + | 0.639416i | ||||
\(765\) | −12.4869 | + | 23.8499i | −0.451463 | + | 0.862296i | ||||
\(766\) | 20.1182 | − | 32.3293i | 0.726900 | − | 1.16811i | ||||
\(767\) | 7.73999 | + | 10.6532i | 0.279475 | + | 0.384664i | ||||
\(768\) | −3.61960 | − | 2.94668i | −0.130611 | − | 0.106329i | ||||
\(769\) | −6.10205 | + | 4.43340i | −0.220046 | + | 0.159872i | −0.692347 | − | 0.721565i | \(-0.743423\pi\) |
0.472302 | + | 0.881437i | \(0.343423\pi\) | |||||||
\(770\) | 4.19356 | − | 0.927516i | 0.151125 | − | 0.0334253i | ||||
\(771\) | 1.19867 | − | 1.64982i | 0.0431689 | − | 0.0594169i | ||||
\(772\) | −3.67285 | − | 3.77519i | −0.132189 | − | 0.135872i | ||||
\(773\) | −7.63507 | + | 23.4983i | −0.274614 | + | 0.845176i | 0.714707 | + | 0.699424i | \(0.246560\pi\) |
−0.989321 | + | 0.145752i | \(0.953440\pi\) | |||||||
\(774\) | −25.3628 | + | 21.3623i | −0.911647 | + | 0.767853i | ||||
\(775\) | −16.0296 | + | 21.0651i | −0.575800 | + | 0.756682i | ||||
\(776\) | 17.1106 | − | 10.0063i | 0.614234 | − | 0.359206i | ||||
\(777\) | 0.131720 | + | 0.0427985i | 0.00472544 | + | 0.00153539i | ||||
\(778\) | 0.965428 | + | 13.4473i | 0.0346123 | + | 0.482109i | ||||
\(779\) | −11.0116 | + | 15.1562i | −0.394533 | + | 0.543027i | ||||
\(780\) | 1.39028 | + | 2.01698i | 0.0497801 | + | 0.0722195i | ||||
\(781\) | 9.29319 | + | 12.7910i | 0.332536 | + | 0.457697i | ||||
\(782\) | 10.9121 | − | 9.19089i | 0.390214 | − | 0.328666i | ||||
\(783\) | 6.71371 | + | 9.24062i | 0.239928 | + | 0.330233i | ||||
\(784\) | 0.763210 | − | 27.7690i | 0.0272575 | − | 0.991749i | ||||
\(785\) | 46.2210 | − | 6.79669i | 1.64970 | − | 0.242584i | ||||
\(786\) | −2.90029 | + | 1.17807i | −0.103450 | + | 0.0420202i | ||||
\(787\) | 2.96732 | + | 9.13248i | 0.105774 | + | 0.325538i | 0.989911 | − | 0.141689i | \(-0.0452532\pi\) |
−0.884138 | + | 0.467227i | \(0.845253\pi\) | |||||||
\(788\) | −49.9642 | + | 7.21137i | −1.77990 | + | 0.256895i | ||||
\(789\) | 6.27562 | + | 2.03907i | 0.223418 | + | 0.0725930i | ||||
\(790\) | −3.90760 | + | 40.3728i | −0.139026 | + | 1.43640i | ||||
\(791\) | −0.0237601 | − | 0.0731261i | −0.000844812 | − | 0.00260007i | ||||
\(792\) | 19.1534 | − | 43.6725i | 0.680586 | − | 1.55183i | ||||
\(793\) | 3.05953i | 0.108647i | ||||||||
\(794\) | −7.90182 | + | 31.9451i | −0.280425 | + | 1.13369i | ||||
\(795\) | −1.09784 | − | 2.21496i | −0.0389364 | − | 0.0785564i | ||||
\(796\) | −5.69434 | + | 5.53998i | −0.201830 | + | 0.196359i | ||||
\(797\) | −25.7837 | − | 18.7330i | −0.913306 | − | 0.663556i | 0.0285428 | − | 0.999593i | \(-0.490913\pi\) |
−0.941849 | + | 0.336037i | \(0.890913\pi\) | |||||||
\(798\) | 0.0987069 | + | 0.243008i | 0.00349419 | + | 0.00860238i | ||||
\(799\) | 43.4651 | 1.53769 | ||||||||
\(800\) | −22.5106 | + | 17.1253i | −0.795869 | + | 0.605469i | ||||
\(801\) | −33.1336 | −1.17072 | ||||||||
\(802\) | −6.54176 | − | 16.1052i | −0.230998 | − | 0.568696i | ||||
\(803\) | −70.7696 | − | 51.4171i | −2.49740 | − | 1.81447i | ||||
\(804\) | 4.65717 | − | 4.53093i | 0.164246 | − | 0.159794i | ||||
\(805\) | 0.214636 | − | 1.26434i | 0.00756491 | − | 0.0445621i | ||||
\(806\) | 3.37584 | − | 13.6477i | 0.118909 | − | 0.480719i | ||||
\(807\) | − | 1.83112i | − | 0.0644586i | ||||||
\(808\) | −12.4375 | + | 28.3593i | −0.437550 | + | 0.997677i | ||||
\(809\) | −1.35706 | − | 4.17661i | −0.0477118 | − | 0.146842i | 0.924362 | − | 0.381516i | \(-0.124598\pi\) |
−0.972074 | + | 0.234674i | \(0.924598\pi\) | |||||||
\(810\) | 23.8949 | + | 10.4038i | 0.839580 | + | 0.365553i | ||||
\(811\) | −36.8697 | − | 11.9797i | −1.29467 | − | 0.420664i | −0.420947 | − | 0.907085i | \(-0.638302\pi\) |
−0.873725 | + | 0.486421i | \(0.838302\pi\) | |||||||
\(812\) | 3.07688 | − | 0.444089i | 0.107977 | − | 0.0155845i | ||||
\(813\) | −0.306476 | − | 0.943236i | −0.0107486 | − | 0.0330807i | ||||
\(814\) | −15.3240 | + | 6.22443i | −0.537106 | + | 0.218166i | ||||
\(815\) | 12.4241 | + | 25.0663i | 0.435197 | + | 0.878034i | ||||
\(816\) | −4.81760 | − | 0.132408i | −0.168650 | − | 0.00463522i | ||||
\(817\) | 12.8026 | + | 17.6213i | 0.447907 | + | 0.616492i | ||||
\(818\) | 34.1829 | − | 28.7912i | 1.19518 | − | 1.00666i | ||||
\(819\) | −0.755449 | − | 1.03979i | −0.0263975 | − | 0.0363331i | ||||
\(820\) | −29.1813 | − | 10.2889i | −1.01906 | − | 0.359304i | ||||
\(821\) | 25.5877 | − | 35.2185i | 0.893017 | − | 1.22913i | −0.0796254 | − | 0.996825i | \(-0.525372\pi\) |
0.972642 | − | 0.232308i | \(-0.0746276\pi\) | |||||||
\(822\) | 0.390552 | + | 5.43994i | 0.0136221 | + | 0.189740i | ||||
\(823\) | −4.46326 | − | 1.45020i | −0.155580 | − | 0.0505509i | 0.230192 | − | 0.973145i | \(-0.426065\pi\) |
−0.385771 | + | 0.922594i | \(0.626065\pi\) | |||||||
\(824\) | 28.5844 | − | 16.7163i | 0.995785 | − | 0.582339i | ||||
\(825\) | 6.71373 | + | 5.10884i | 0.233742 | + | 0.177867i | ||||
\(826\) | −1.78107 | + | 1.50014i | −0.0619712 | + | 0.0521965i | ||||
\(827\) | 3.61552 | − | 11.1274i | 0.125724 | − | 0.386938i | −0.868308 | − | 0.496025i | \(-0.834793\pi\) |
0.994032 | + | 0.109087i | \(0.0347926\pi\) | |||||||
\(828\) | −9.92941 | − | 10.2061i | −0.345071 | − | 0.354685i | ||||
\(829\) | −0.462729 | + | 0.636892i | −0.0160712 | + | 0.0221202i | −0.816977 | − | 0.576670i | \(-0.804352\pi\) |
0.800906 | + | 0.598790i | \(0.204352\pi\) | |||||||
\(830\) | 9.14781 | + | 3.98296i | 0.317525 | + | 0.138251i | ||||
\(831\) | 6.07571 | − | 4.41426i | 0.210764 | − | 0.153129i | ||||
\(832\) | 7.36573 | − | 13.0926i | 0.255361 | − | 0.453905i | ||||
\(833\) | −16.8603 | − | 23.2062i | −0.584174 | − | 0.804046i | ||||
\(834\) | −0.493104 | + | 0.792402i | −0.0170748 | + | 0.0274386i | ||||
\(835\) | 33.6963 | + | 34.4513i | 1.16611 | + | 1.19224i | ||||
\(836\) | −27.7113 | − | 14.6026i | −0.958414 | − | 0.505040i | ||||
\(837\) | 2.82277 | + | 8.68759i | 0.0975692 | + | 0.300287i | ||||
\(838\) | 6.45026 | − | 10.3654i | 0.222821 | − | 0.358066i | ||||
\(839\) | 10.8077 | − | 33.2628i | 0.373124 | − | 1.14836i | −0.571611 | − | 0.820524i | \(-0.693682\pi\) |
0.944736 | − | 0.327833i | \(-0.106318\pi\) | |||||||
\(840\) | −0.338163 | + | 0.270769i | −0.0116677 | + | 0.00934243i | ||||
\(841\) | −4.58005 | − | 14.0959i | −0.157933 | − | 0.486067i | ||||
\(842\) | −17.5878 | − | 4.35044i | −0.606114 | − | 0.149926i | ||||
\(843\) | −1.13954 | −0.0392478 | ||||||||
\(844\) | −26.3027 | + | 12.9498i | −0.905375 | + | 0.445752i | ||||
\(845\) | 15.1446 | − | 14.8127i | 0.520989 | − | 0.509572i | ||||
\(846\) | −3.10647 | − | 43.2695i | −0.106803 | − | 1.48764i | ||||
\(847\) | −3.09936 | + | 4.26591i | −0.106495 | + | 0.146578i | ||||
\(848\) | −9.24418 | + | 12.0149i | −0.317447 | + | 0.412595i | ||||
\(849\) | −0.374678 | −0.0128589 | ||||||||
\(850\) | −7.63923 | + | 28.1889i | −0.262023 | + | 0.966870i | ||||
\(851\) | 4.93870i | 0.169296i | ||||||||
\(852\) | −1.41084 | − | 0.743449i | −0.0483347 | − | 0.0254702i | ||||
\(853\) | 9.00501 | + | 6.54252i | 0.308326 | + | 0.224012i | 0.731178 | − | 0.682187i | \(-0.238971\pi\) |
−0.422852 | + | 0.906199i | \(0.638971\pi\) | |||||||
\(854\) | −0.539660 | + | 0.0387441i | −0.0184668 | + | 0.00132579i | ||||
\(855\) | 8.18596 | − | 15.6352i | 0.279954 | − | 0.534713i | ||||
\(856\) | 0.913432 | + | 0.400603i | 0.0312205 | + | 0.0136923i | ||||
\(857\) | 53.1600i | 1.81591i | 0.419068 | + | 0.907955i | \(0.362357\pi\) | ||||
−0.419068 | + | 0.907955i | \(0.637643\pi\) | |||||||
\(858\) | −4.34970 | − | 1.07592i | −0.148496 | − | 0.0367314i | ||||
\(859\) | −32.6009 | + | 10.5927i | −1.11233 | + | 0.361417i | −0.806835 | − | 0.590777i | \(-0.798821\pi\) |
−0.305493 | + | 0.952194i | \(0.598821\pi\) | |||||||
\(860\) | −21.8611 | + | 28.5705i | −0.745457 | + | 0.974245i | ||||
\(861\) | −0.450722 | − | 0.146448i | −0.0153606 | − | 0.00499095i | ||||
\(862\) | 36.1093 | + | 22.4705i | 1.22989 | + | 0.765347i | ||||
\(863\) | −37.8328 | + | 12.2926i | −1.28784 | + | 0.418446i | −0.871336 | − | 0.490686i | \(-0.836746\pi\) |
−0.416508 | + | 0.909132i | \(0.636746\pi\) | |||||||
\(864\) | 0.431210 | + | 9.75105i | 0.0146701 | + | 0.331738i | ||||
\(865\) | −0.596361 | + | 3.51295i | −0.0202769 | + | 0.119444i | ||||
\(866\) | −1.20138 | + | 1.93058i | −0.0408246 | + | 0.0656038i | ||||
\(867\) | −0.0140203 | + | 0.0101863i | −0.000476154 | + | 0.000345946i | ||||
\(868\) | 2.45002 | + | 0.422627i | 0.0831591 | + | 0.0143449i | ||||
\(869\) | −43.6085 | − | 60.0220i | −1.47932 | − | 2.03611i | ||||
\(870\) | 4.57153 | + | 4.04858i | 0.154990 | + | 0.137260i | ||||
\(871\) | 16.9190 | + | 12.2923i | 0.573277 | + | 0.416510i | ||||
\(872\) | 27.3655 | + | 2.72216i | 0.926714 | + | 0.0921840i | ||||
\(873\) | −19.4279 | − | 6.31251i | −0.657535 | − | 0.213646i | ||||
\(874\) | −7.15357 | + | 6.02523i | −0.241973 | + | 0.203807i | ||||
\(875\) | 1.11345 | + | 2.37742i | 0.0376416 | + | 0.0803715i | ||||
\(876\) | 8.69492 | + | 1.49987i | 0.293774 | + | 0.0506759i | ||||
\(877\) | −12.4831 | + | 38.4191i | −0.421525 | + | 1.29732i | 0.484758 | + | 0.874649i | \(0.338908\pi\) |
−0.906283 | + | 0.422672i | \(0.861092\pi\) | |||||||
\(878\) | 53.5670 | − | 3.84576i | 1.80780 | − | 0.129788i | ||||
\(879\) | −2.01784 | − | 1.46605i | −0.0680601 | − | 0.0494486i | ||||
\(880\) | 10.0567 | − | 50.7481i | 0.339013 | − | 1.71072i | ||||
\(881\) | 26.2858 | − | 19.0977i | 0.885591 | − | 0.643419i | −0.0491339 | − | 0.998792i | \(-0.515646\pi\) |
0.934725 | + | 0.355373i | \(0.115646\pi\) | |||||||
\(882\) | −21.8967 | + | 18.4429i | −0.737301 | + | 0.621006i | ||||
\(883\) | −31.0584 | + | 22.5652i | −1.04520 | + | 0.759380i | −0.971293 | − | 0.237885i | \(-0.923546\pi\) |
−0.0739039 | + | 0.997265i | \(0.523546\pi\) | |||||||
\(884\) | −2.21586 | − | 15.3526i | −0.0745273 | − | 0.516364i | ||||
\(885\) | −4.50965 | − | 0.765563i | −0.151590 | − | 0.0257341i | ||||
\(886\) | −10.4137 | − | 25.6376i | −0.349855 | − | 0.861312i | ||||
\(887\) | −14.5493 | + | 4.72737i | −0.488519 | + | 0.158729i | −0.542911 | − | 0.839790i | \(-0.682678\pi\) |
0.0543921 | + | 0.998520i | \(0.482678\pi\) | |||||||
\(888\) | 1.10939 | − | 1.24600i | 0.0372288 | − | 0.0418129i | ||||
\(889\) | 0.670327 | − | 2.06305i | 0.0224821 | − | 0.0691926i | ||||
\(890\) | −35.0973 | + | 7.76268i | −1.17646 | + | 0.260206i | ||||
\(891\) | −45.3363 | + | 14.7306i | −1.51882 | + | 0.493495i | ||||
\(892\) | 30.5958 | − | 15.0635i | 1.02442 | − | 0.504364i | ||||
\(893\) | −28.4943 | −0.953524 | ||||||||
\(894\) | 6.16648 | + | 1.52532i | 0.206238 | + | 0.0510142i | ||||
\(895\) | 11.4924 | − | 21.9506i | 0.384150 | − | 0.733728i | ||||
\(896\) | 2.40264 | + | 1.13342i | 0.0802665 | + | 0.0378649i | ||||
\(897\) | −0.786416 | + | 1.08241i | −0.0262577 | + | 0.0361406i | ||||
\(898\) | 17.6998 | + | 43.5754i | 0.590651 | + | 1.45413i | ||||
\(899\) | − | 35.0457i | − | 1.16884i | ||||||
\(900\) | 28.6080 | + | 5.59018i | 0.953599 | + | 0.186339i | ||||
\(901\) | 15.6535i | 0.521492i | ||||||||
\(902\) | 52.4358 | − | 21.2988i | 1.74592 | − | 0.709173i | ||||
\(903\) | −0.323868 | + | 0.445767i | −0.0107777 | + | 0.0148342i | ||||
\(904\) | −0.921634 | − | 0.0916786i | −0.0306531 | − | 0.00304918i | ||||
\(905\) | −31.3859 | − | 32.0892i | −1.04330 | − | 1.06668i | ||||
\(906\) | 0.0297240 | − | 0.120167i | 0.000987513 | − | 0.00399227i | ||||
\(907\) | 31.6503 | 1.05093 | 0.525465 | − | 0.850815i | \(-0.323891\pi\) | ||||
0.525465 | + | 0.850815i | \(0.323891\pi\) | |||||||
\(908\) | −12.9315 | − | 26.2654i | −0.429146 | − | 0.871647i | ||||
\(909\) | 30.3516 | − | 9.86184i | 1.00670 | − | 0.327096i | ||||
\(910\) | −1.04383 | − | 0.924420i | −0.0346025 | − | 0.0306442i | ||||
\(911\) | −1.64977 | + | 5.07747i | −0.0546593 | + | 0.168224i | −0.974659 | − | 0.223694i | \(-0.928188\pi\) |
0.920000 | + | 0.391918i | \(0.128188\pi\) | |||||||
\(912\) | 3.15826 | + | 0.0868024i | 0.104580 | + | 0.00287431i | ||||
\(913\) | −17.3564 | + | 5.63942i | −0.574411 | + | 0.186638i | ||||
\(914\) | −20.4264 | + | 8.29695i | −0.675644 | + | 0.274439i | ||||
\(915\) | −0.743131 | − | 0.759781i | −0.0245671 | − | 0.0251176i | ||||
\(916\) | 1.74134 | + | 12.0649i | 0.0575353 | + | 0.398635i | ||||
\(917\) | 1.44148 | − | 1.04729i | 0.0476017 | − | 0.0345847i | ||||
\(918\) | 6.49269 | + | 7.70856i | 0.214291 | + | 0.254421i | ||||
\(919\) | 11.6067 | − | 8.43275i | 0.382869 | − | 0.278171i | −0.379658 | − | 0.925127i | \(-0.623958\pi\) |
0.762527 | + | 0.646956i | \(0.223958\pi\) | |||||||
\(920\) | −12.9090 | − | 8.48462i | −0.425597 | − | 0.279730i | ||||
\(921\) | −2.61770 | − | 1.90187i | −0.0862561 | − | 0.0626687i | ||||
\(922\) | 0.586974 | + | 8.17587i | 0.0193309 | + | 0.269258i | ||||
\(923\) | 1.58612 | − | 4.88158i | 0.0522078 | − | 0.160679i | ||||
\(924\) | 0.134697 | − | 0.780854i | 0.00443120 | − | 0.0256882i | ||||
\(925\) | −5.75982 | − | 8.30877i | −0.189382 | − | 0.273191i | ||||
\(926\) | 10.8291 | + | 12.8570i | 0.355865 | + | 0.422508i | ||||
\(927\) | −32.4557 | − | 10.5455i | −1.06598 | − | 0.346359i | ||||
\(928\) | 9.98709 | − | 36.0907i | 0.327842 | − | 1.18474i | ||||
\(929\) | 5.50414 | + | 3.99899i | 0.180585 | + | 0.131203i | 0.674405 | − | 0.738361i | \(-0.264400\pi\) |
−0.493820 | + | 0.869564i | \(0.664400\pi\) | |||||||
\(930\) | 2.47656 | + | 4.20913i | 0.0812097 | + | 0.138023i | ||||
\(931\) | 11.0530 | + | 15.2132i | 0.362248 | + | 0.498592i | ||||
\(932\) | −14.0655 | − | 2.42629i | −0.460731 | − | 0.0794759i | ||||
\(933\) | 7.09400 | − | 5.15409i | 0.232247 | − | 0.168737i | ||||
\(934\) | 29.9531 | + | 18.6395i | 0.980094 | + | 0.609903i | ||||
\(935\) | −23.7235 | − | 47.8636i | −0.775842 | − | 1.56531i | ||||
\(936\) | −15.1252 | + | 3.30314i | −0.494381 | + | 0.107966i | ||||
\(937\) | −15.8759 | + | 5.15839i | −0.518643 | + | 0.168517i | −0.556629 | − | 0.830761i | \(-0.687906\pi\) |
0.0379863 | + | 0.999278i | \(0.487906\pi\) | |||||||
\(938\) | −1.95396 | + | 3.13994i | −0.0637989 | + | 0.102523i | ||||
\(939\) | 0.0102093 | + | 0.00331721i | 0.000333168 | + | 0.000108253i | ||||
\(940\) | −13.4279 | − | 45.1061i | −0.437971 | − | 1.47120i | ||||
\(941\) | −10.5188 | + | 3.41775i | −0.342902 | + | 0.111416i | −0.475405 | − | 0.879767i | \(-0.657699\pi\) |
0.132503 | + | 0.991183i | \(0.457699\pi\) | |||||||
\(942\) | 2.06964 | − | 8.36704i | 0.0674325 | − | 0.272613i | ||||
\(943\) | − | 16.8993i | − | 0.550316i | ||||||
\(944\) | 7.93176 | + | 26.9053i | 0.258157 | + | 0.875693i | ||||
\(945\) | 0.893163 | + | 0.151624i | 0.0290546 | + | 0.00493234i | ||||
\(946\) | −4.71199 | − | 65.6327i | −0.153200 | − | 2.13390i | ||||
\(947\) | 16.0299 | + | 11.6464i | 0.520901 | + | 0.378457i | 0.816943 | − | 0.576718i | \(-0.195667\pi\) |
−0.296042 | + | 0.955175i | \(0.595667\pi\) | |||||||
\(948\) | 6.62042 | + | 3.48866i | 0.215021 | + | 0.113306i | ||||
\(949\) | 28.3986i | 0.921858i | ||||||||
\(950\) | 5.00802 | − | 18.4797i | 0.162482 | − | 0.599560i | ||||
\(951\) | −4.74494 | −0.153865 | ||||||||
\(952\) | 2.67994 | − | 0.585264i | 0.0868573 | − | 0.0189685i | ||||
\(953\) | 28.4871 | − | 39.2091i | 0.922787 | − | 1.27011i | −0.0398210 | − | 0.999207i | \(-0.512679\pi\) |
0.962608 | − | 0.270900i | \(-0.0873212\pi\) | |||||||
\(954\) | 15.5830 | − | 1.11876i | 0.504518 | − | 0.0362211i | ||||
\(955\) | −18.8233 | − | 37.9771i | −0.609109 | − | 1.22891i | ||||
\(956\) | −4.73717 | − | 9.62175i | −0.153211 | − | 0.311190i | ||||
\(957\) | −11.1695 | −0.361060 | ||||||||
\(958\) | 5.21685 | − | 21.0905i | 0.168549 | − | 0.681402i | ||||
\(959\) | −0.959267 | − | 2.95232i | −0.0309764 | − | 0.0953354i | ||||
\(960\) | 1.35092 | + | 5.04039i | 0.0436008 | + | 0.162678i | ||||
\(961\) | −0.918548 | + | 2.82700i | −0.0296306 | + | 0.0911936i | ||||
\(962\) | 4.55895 | + | 2.83699i | 0.146986 | + | 0.0914682i | ||||
\(963\) | −0.317642 | − | 0.977603i | −0.0102359 | − | 0.0315028i | ||||
\(964\) | 3.34124 | + | 1.76068i | 0.107614 | + | 0.0567077i | ||||
\(965\) | 0.856715 | + | 5.82610i | 0.0275786 | + | 0.187549i | ||||
\(966\) | −0.200881 | − | 0.125006i | −0.00646325 | − | 0.00402202i | ||||
\(967\) | 11.5880 | + | 15.9495i | 0.372645 | + | 0.512901i | 0.953617 | − | 0.301022i | \(-0.0973277\pi\) |
−0.580973 | + | 0.813923i | \(0.697328\pi\) | |||||||
\(968\) | 32.0641 | + | 54.8288i | 1.03058 | + | 1.76226i | ||||
\(969\) | 2.63931 | − | 1.91757i | 0.0847870 | − | 0.0616013i | ||||
\(970\) | −22.0582 | − | 2.13497i | −0.708247 | − | 0.0685497i | ||||
\(971\) | −1.31463 | + | 1.80943i | −0.0421885 | + | 0.0580675i | −0.829590 | − | 0.558373i | \(-0.811426\pi\) |
0.787402 | + | 0.616440i | \(0.211426\pi\) | |||||||
\(972\) | 10.8666 | − | 10.5721i | 0.348547 | − | 0.339099i | ||||
\(973\) | 0.164154 | − | 0.505214i | 0.00526253 | − | 0.0161964i | ||||
\(974\) | −20.5503 | − | 24.3987i | −0.658475 | − | 0.781786i | ||||
\(975\) | 0.0606783 | − | 2.73819i | 0.00194326 | − | 0.0876923i | ||||
\(976\) | −2.18349 | + | 6.14064i | −0.0698917 | + | 0.196557i | ||||
\(977\) | 11.4440 | + | 3.71838i | 0.366126 | + | 0.118962i | 0.486301 | − | 0.873791i | \(-0.338346\pi\) |
−0.120175 | + | 0.992753i | \(0.538346\pi\) | |||||||
\(978\) | 5.14823 | − | 0.369609i | 0.164622 | − | 0.0118188i | ||||
\(979\) | 38.6458 | − | 53.1914i | 1.23512 | − | 1.70000i | ||||
\(980\) | −18.8735 | + | 24.6660i | −0.602893 | + | 0.787927i | ||||
\(981\) | −16.6587 | − | 22.9287i | −0.531870 | − | 0.732057i | ||||
\(982\) | 6.95109 | + | 8.25281i | 0.221818 | + | 0.263358i | ||||
\(983\) | −27.2305 | − | 37.4796i | −0.868518 | − | 1.19541i | −0.979471 | − | 0.201587i | \(-0.935390\pi\) |
0.110952 | − | 0.993826i | \(-0.464610\pi\) | |||||||
\(984\) | −3.79613 | + | 4.26356i | −0.121016 | + | 0.135917i | ||||
\(985\) | 50.0019 | + | 26.1790i | 1.59319 | + | 0.834132i | ||||
\(986\) | −14.5515 | − | 35.8244i | −0.463413 | − | 1.14088i | ||||
\(987\) | −0.222746 | − | 0.685540i | −0.00709007 | − | 0.0218210i | ||||
\(988\) | 1.45264 | + | 10.0647i | 0.0462146 | + | 0.320199i | ||||
\(989\) | −18.6862 | − | 6.07153i | −0.594188 | − | 0.193063i | ||||
\(990\) | −45.9526 | + | 27.0376i | −1.46047 | + | 0.859311i | ||||
\(991\) | 18.8475 | + | 58.0065i | 0.598710 | + | 1.84264i | 0.535319 | + | 0.844650i | \(0.320191\pi\) |
0.0633902 | + | 0.997989i | \(0.479809\pi\) | |||||||
\(992\) | 16.5154 | − | 24.9824i | 0.524365 | − | 0.793193i | ||||
\(993\) | − | 6.62737i | − | 0.210313i | ||||||
\(994\) | 0.881132 | + | 0.217953i | 0.0279478 | + | 0.00691306i | ||||
\(995\) | 8.78784 | − | 1.29223i | 0.278593 | − | 0.0409665i | ||||
\(996\) | 1.31937 | − | 1.28361i | 0.0418058 | − | 0.0406726i | ||||
\(997\) | 26.2826 | + | 19.0954i | 0.832378 | + | 0.604758i | 0.920231 | − | 0.391375i | \(-0.128001\pi\) |
−0.0878532 | + | 0.996133i | \(0.528001\pi\) | |||||||
\(998\) | −35.3360 | + | 14.3531i | −1.11854 | + | 0.454339i | ||||
\(999\) | −3.48883 | −0.110382 |
(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 | 200.2.o.a.29.12 | yes | 112 | |
4.3 | odd | 2 | 800.2.be.a.529.13 | 112 | |||
5.2 | odd | 4 | 1000.2.t.b.101.50 | 224 | |||
5.3 | odd | 4 | 1000.2.t.b.101.7 | 224 | |||
5.4 | even | 2 | 1000.2.o.a.149.17 | 112 | |||
8.3 | odd | 2 | 800.2.be.a.529.16 | 112 | |||
8.5 | even | 2 | inner | 200.2.o.a.29.6 | ✓ | 112 | |
25.6 | even | 5 | 1000.2.o.a.349.23 | 112 | |||
25.8 | odd | 20 | 1000.2.t.b.901.39 | 224 | |||
25.17 | odd | 20 | 1000.2.t.b.901.18 | 224 | |||
25.19 | even | 10 | inner | 200.2.o.a.69.6 | yes | 112 | |
40.13 | odd | 4 | 1000.2.t.b.101.39 | 224 | |||
40.29 | even | 2 | 1000.2.o.a.149.23 | 112 | |||
40.37 | odd | 4 | 1000.2.t.b.101.18 | 224 | |||
100.19 | odd | 10 | 800.2.be.a.369.16 | 112 | |||
200.19 | odd | 10 | 800.2.be.a.369.13 | 112 | |||
200.69 | even | 10 | inner | 200.2.o.a.69.12 | yes | 112 | |
200.117 | odd | 20 | 1000.2.t.b.901.50 | 224 | |||
200.133 | odd | 20 | 1000.2.t.b.901.7 | 224 | |||
200.181 | even | 10 | 1000.2.o.a.349.17 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.2.o.a.29.6 | ✓ | 112 | 8.5 | even | 2 | inner | |
200.2.o.a.29.12 | yes | 112 | 1.1 | even | 1 | trivial | |
200.2.o.a.69.6 | yes | 112 | 25.19 | even | 10 | inner | |
200.2.o.a.69.12 | yes | 112 | 200.69 | even | 10 | inner | |
800.2.be.a.369.13 | 112 | 200.19 | odd | 10 | |||
800.2.be.a.369.16 | 112 | 100.19 | odd | 10 | |||
800.2.be.a.529.13 | 112 | 4.3 | odd | 2 | |||
800.2.be.a.529.16 | 112 | 8.3 | odd | 2 | |||
1000.2.o.a.149.17 | 112 | 5.4 | even | 2 | |||
1000.2.o.a.149.23 | 112 | 40.29 | even | 2 | |||
1000.2.o.a.349.17 | 112 | 200.181 | even | 10 | |||
1000.2.o.a.349.23 | 112 | 25.6 | even | 5 | |||
1000.2.t.b.101.7 | 224 | 5.3 | odd | 4 | |||
1000.2.t.b.101.18 | 224 | 40.37 | odd | 4 | |||
1000.2.t.b.101.39 | 224 | 40.13 | odd | 4 | |||
1000.2.t.b.101.50 | 224 | 5.2 | odd | 4 | |||
1000.2.t.b.901.7 | 224 | 200.133 | odd | 20 | |||
1000.2.t.b.901.18 | 224 | 25.17 | odd | 20 | |||
1000.2.t.b.901.39 | 224 | 25.8 | odd | 20 | |||
1000.2.t.b.901.50 | 224 | 200.117 | odd | 20 |