Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{21})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 46.5 | ||
Character | \(\chi\) | \(=\) | 441.46 |
Dual form | 441.2.bb.e.163.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{11}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.940102 | − | 2.39534i | 0.664753 | − | 1.69376i | −0.0540415 | − | 0.998539i | \(-0.517210\pi\) |
0.718794 | − | 0.695223i | \(-0.244694\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.38776 | − | 3.14338i | −1.69388 | − | 1.57169i | ||||
\(5\) | 3.23329 | + | 2.20442i | 1.44597 | + | 0.985848i | 0.995669 | + | 0.0929724i | \(0.0296368\pi\) |
0.450304 | + | 0.892875i | \(0.351316\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.49214 | − | 0.888404i | 0.941939 | − | 0.335785i | ||||
\(8\) | −6.07754 | + | 2.92679i | −2.14873 | + | 1.03478i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 8.31997 | − | 5.67246i | 2.63101 | − | 1.79379i | ||||
\(11\) | −0.137579 | + | 0.0207367i | −0.0414817 | + | 0.00625237i | −0.169750 | − | 0.985487i | \(-0.554296\pi\) |
0.128269 | + | 0.991739i | \(0.459058\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.93769 | − | 3.68375i | −0.814769 | − | 1.02169i | −0.999245 | − | 0.0388514i | \(-0.987630\pi\) |
0.184476 | − | 0.982837i | \(-0.440941\pi\) | |||||||
\(14\) | 0.214830 | − | 6.80470i | 0.0574158 | − | 1.81863i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.606427 | + | 8.09221i | 0.151607 | + | 2.02305i | ||||
\(17\) | 2.86291 | + | 0.883090i | 0.694357 | + | 0.214181i | 0.621791 | − | 0.783183i | \(-0.286405\pi\) |
0.0725657 | + | 0.997364i | \(0.476881\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.957742 | − | 1.65886i | −0.219721 | − | 0.380568i | 0.735002 | − | 0.678065i | \(-0.237181\pi\) |
−0.954723 | + | 0.297497i | \(0.903848\pi\) | |||||||
\(20\) | −4.02428 | − | 17.6315i | −0.899857 | − | 3.94253i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0796670 | + | 0.349044i | −0.0169851 | + | 0.0744164i | ||||
\(23\) | −2.05876 | + | 0.635043i | −0.429281 | + | 0.132416i | −0.501864 | − | 0.864947i | \(-0.667352\pi\) |
0.0725827 | + | 0.997362i | \(0.476876\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.76801 | + | 9.60072i | 0.753601 | + | 1.92014i | ||||
\(26\) | −11.5856 | + | 3.57367i | −2.27212 | + | 0.700855i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −11.2354 | − | 4.82404i | −2.12328 | − | 0.911657i | ||||
\(29\) | 0.872532 | + | 3.82281i | 0.162025 | + | 0.709878i | 0.989034 | + | 0.147689i | \(0.0471835\pi\) |
−0.827009 | + | 0.562189i | \(0.809959\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.0198379 | + | 0.0343603i | −0.00356299 | + | 0.00617129i | −0.867801 | − | 0.496911i | \(-0.834467\pi\) |
0.864238 | + | 0.503082i | \(0.167801\pi\) | |||||||
\(32\) | 7.06195 | + | 2.17832i | 1.24839 | + | 0.385077i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.80673 | − | 6.02745i | 0.824347 | − | 1.03370i | ||||
\(35\) | 10.0162 | + | 2.62125i | 1.69305 | + | 0.443072i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.45641 | + | 5.99067i | −1.06143 | + | 0.984860i | −0.999912 | − | 0.0132457i | \(-0.995784\pi\) |
−0.0615149 | + | 0.998106i | \(0.519593\pi\) | |||||||
\(38\) | −4.87390 | + | 0.734623i | −0.790651 | + | 0.119172i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −26.1024 | − | 3.93430i | −4.12714 | − | 0.622067i | ||||
\(41\) | −9.33613 | + | 4.49604i | −1.45806 | + | 0.702164i | −0.983973 | − | 0.178315i | \(-0.942935\pi\) |
−0.474085 | + | 0.880479i | \(0.657221\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.57333 | + | 0.757677i | 0.239931 | + | 0.115545i | 0.549986 | − | 0.835174i | \(-0.314633\pi\) |
−0.310055 | + | 0.950719i | \(0.600347\pi\) | |||||||
\(44\) | 0.531270 | + | 0.362214i | 0.0800919 | + | 0.0546057i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.414299 | + | 5.52843i | −0.0610850 | + | 0.815123i | ||||
\(47\) | 0.367220 | − | 0.935662i | 0.0535646 | − | 0.136480i | −0.901587 | − | 0.432598i | \(-0.857597\pi\) |
0.955151 | + | 0.296118i | \(0.0956921\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.42148 | − | 4.42805i | 0.774497 | − | 0.632578i | ||||
\(50\) | 26.5393 | 3.75322 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.62724 | + | 21.7140i | −0.225657 | + | 3.01119i | ||||
\(53\) | −1.76568 | − | 1.63831i | −0.242535 | − | 0.225040i | 0.549534 | − | 0.835472i | \(-0.314805\pi\) |
−0.792069 | + | 0.610432i | \(0.790996\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.490547 | − | 0.236235i | −0.0661453 | − | 0.0318539i | ||||
\(56\) | −12.5459 | + | 12.6933i | −1.67651 | + | 1.69621i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.97720 | + | 1.50382i | 1.31007 | + | 0.197461i | ||||
\(59\) | 5.40007 | − | 3.68170i | 0.703029 | − | 0.479317i | −0.158283 | − | 0.987394i | \(-0.550596\pi\) |
0.861312 | + | 0.508077i | \(0.169643\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.97882 | − | 4.61967i | 0.637472 | − | 0.591488i | −0.293775 | − | 0.955874i | \(-0.594912\pi\) |
0.931248 | + | 0.364387i | \(0.118721\pi\) | |||||||
\(62\) | 0.0636549 | + | 0.0798207i | 0.00808418 | + | 0.0101372i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.73766 | − | 2.17896i | 0.217208 | − | 0.272370i | ||||
\(65\) | −1.37788 | − | 18.3866i | −0.170905 | − | 2.28057i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.83417 | − | 8.37303i | 0.590588 | − | 1.02293i | −0.403565 | − | 0.914951i | \(-0.632229\pi\) |
0.994153 | − | 0.107978i | \(-0.0344375\pi\) | |||||||
\(68\) | −6.92296 | − | 11.9909i | −0.839532 | − | 1.45411i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 15.6951 | − | 21.5280i | 1.87592 | − | 2.57309i | ||||
\(71\) | −3.02675 | + | 13.2611i | −0.359209 | + | 1.57380i | 0.395959 | + | 0.918268i | \(0.370412\pi\) |
−0.755169 | + | 0.655531i | \(0.772445\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.98525 | + | 12.7022i | 0.583480 | + | 1.48668i | 0.852070 | + | 0.523428i | \(0.175347\pi\) |
−0.268590 | + | 0.963255i | \(0.586558\pi\) | |||||||
\(74\) | 8.28002 | + | 21.0971i | 0.962533 | + | 2.45249i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.96982 | + | 8.63036i | −0.225954 | + | 0.989971i | ||||
\(77\) | −0.324444 | + | 0.173905i | −0.0369738 | + | 0.0198183i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.238309 | − | 0.412763i | −0.0268119 | − | 0.0464395i | 0.852308 | − | 0.523040i | \(-0.175202\pi\) |
−0.879120 | + | 0.476600i | \(0.841869\pi\) | |||||||
\(80\) | −15.8779 | + | 27.5013i | −1.77520 | + | 3.07474i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.99264 | + | 26.5900i | 0.220050 | + | 2.93637i | ||||
\(83\) | 2.89616 | − | 3.63168i | 0.317895 | − | 0.398628i | −0.597051 | − | 0.802203i | \(-0.703661\pi\) |
0.914947 | + | 0.403575i | \(0.132233\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.30992 | + | 9.16635i | 0.792872 | + | 0.994230i | ||||
\(86\) | 3.29399 | − | 3.05638i | 0.355200 | − | 0.329577i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.775452 | − | 0.528694i | 0.0826635 | − | 0.0563590i | ||||
\(89\) | −8.74729 | − | 1.31844i | −0.927210 | − | 0.139754i | −0.331959 | − | 0.943294i | \(-0.607710\pi\) |
−0.595252 | + | 0.803539i | \(0.702948\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.5938 | − | 6.57054i | −1.11053 | − | 0.688780i | ||||
\(92\) | 8.97077 | + | 4.32009i | 0.935267 | + | 0.450401i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.89601 | − | 1.75924i | −0.195558 | − | 0.181451i | ||||
\(95\) | 0.560162 | − | 7.47484i | 0.0574714 | − | 0.766902i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.96224 | −0.503839 | −0.251920 | − | 0.967748i | \(-0.581062\pi\) | ||||
−0.251920 | + | 0.967748i | \(0.581062\pi\) | |||||||
\(98\) | −5.50994 | − | 17.1491i | −0.556588 | − | 1.73232i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 17.4136 | − | 44.3692i | 1.74136 | − | 4.43692i | ||||
\(101\) | −0.384443 | + | 5.13003i | −0.0382535 | + | 0.510457i | 0.944862 | + | 0.327470i | \(0.106196\pi\) |
−0.983115 | + | 0.182988i | \(0.941423\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.49958 | − | 3.06776i | −0.443357 | − | 0.302276i | 0.320988 | − | 0.947083i | \(-0.395985\pi\) |
−0.764345 | + | 0.644808i | \(0.776938\pi\) | |||||||
\(104\) | 28.6355 | + | 13.7901i | 2.80794 | + | 1.35223i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.58424 | + | 2.68923i | −0.542389 | + | 0.261201i | ||||
\(107\) | −2.63328 | − | 0.396903i | −0.254569 | − | 0.0383701i | 0.0205179 | − | 0.999789i | \(-0.493468\pi\) |
−0.275087 | + | 0.961419i | \(0.588707\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.1209 | − | 1.67621i | 1.06519 | − | 0.160551i | 0.407018 | − | 0.913420i | \(-0.366569\pi\) |
0.658171 | + | 0.752869i | \(0.271331\pi\) | |||||||
\(110\) | −1.02703 | + | 0.952942i | −0.0979232 | + | 0.0908595i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.70045 | + | 19.6281i | 0.822115 | + | 1.85468i | ||||
\(113\) | 4.22018 | − | 5.29194i | 0.397001 | − | 0.497824i | −0.542649 | − | 0.839959i | \(-0.682579\pi\) |
0.939651 | + | 0.342135i | \(0.111150\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.05647 | − | 2.48509i | −0.751270 | − | 0.231736i | ||||
\(116\) | 9.06063 | − | 15.6935i | 0.841259 | − | 1.45710i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.74232 | − | 16.3962i | −0.344509 | − | 1.50939i | ||||
\(119\) | 7.91929 | − | 0.342640i | 0.725961 | − | 0.0314097i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.4928 | + | 3.23660i | −0.953891 | + | 0.294236i | ||||
\(122\) | −6.38508 | − | 16.2689i | −0.578078 | − | 1.47292i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.175214 | − | 0.0540462i | 0.0157346 | − | 0.00485350i | ||||
\(125\) | −4.62706 | + | 20.2725i | −0.413856 | + | 1.81322i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.61933 | − | 20.2386i | −0.409899 | − | 1.79588i | −0.584665 | − | 0.811275i | \(-0.698774\pi\) |
0.174766 | − | 0.984610i | \(-0.444083\pi\) | |||||||
\(128\) | 3.80450 | + | 6.58959i | 0.336274 | + | 0.582443i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −45.3374 | − | 13.9847i | −3.97636 | − | 1.22654i | ||||
\(131\) | 0.493760 | + | 6.58877i | 0.0431400 | + | 0.575663i | 0.976331 | + | 0.216282i | \(0.0693931\pi\) |
−0.933191 | + | 0.359381i | \(0.882988\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.86056 | − | 3.28323i | −0.334753 | − | 0.284693i | ||||
\(134\) | −15.5116 | − | 19.4510i | −1.34000 | − | 1.68031i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −19.9841 | + | 3.01211i | −1.71362 | + | 0.258286i | ||||
\(137\) | −12.6515 | + | 8.62566i | −1.08089 | + | 0.736940i | −0.966544 | − | 0.256501i | \(-0.917430\pi\) |
−0.114348 | + | 0.993441i | \(0.536478\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.13767 | − | 2.47417i | 0.435771 | − | 0.209856i | −0.203119 | − | 0.979154i | \(-0.565108\pi\) |
0.638891 | + | 0.769298i | \(0.279394\pi\) | |||||||
\(140\) | −25.6930 | − | 40.3650i | −2.17145 | − | 3.41146i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 28.9193 | + | 19.7169i | 2.42685 | + | 1.65460i | ||||
\(143\) | 0.480555 | + | 0.445890i | 0.0401860 | + | 0.0372872i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.60594 | + | 14.2837i | −0.465548 | + | 1.18620i | ||||
\(146\) | 35.1128 | 2.90596 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 40.7038 | 3.34583 | ||||||||
\(149\) | −7.66287 | + | 19.5247i | −0.627767 | + | 1.59952i | 0.162465 | + | 0.986714i | \(0.448056\pi\) |
−0.790231 | + | 0.612809i | \(0.790040\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.50439 | + | 6.96306i | 0.610699 | + | 0.566645i | 0.923705 | − | 0.383106i | \(-0.125146\pi\) |
−0.313006 | + | 0.949751i | \(0.601336\pi\) | |||||||
\(152\) | 10.6758 | + | 7.27866i | 0.865925 | + | 0.590378i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.111551 | + | 0.940642i | 0.00898905 | + | 0.0757991i | ||||
\(155\) | −0.139886 | + | 0.0673657i | −0.0112359 | + | 0.00541094i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.0848 | − | 6.87573i | 0.804858 | − | 0.548743i | −0.0895567 | − | 0.995982i | \(-0.528545\pi\) |
0.894415 | + | 0.447239i | \(0.147593\pi\) | |||||||
\(158\) | −1.21274 | + | 0.182792i | −0.0964807 | + | 0.0145421i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 18.0314 | + | 22.6107i | 1.42551 | + | 1.78753i | ||||
\(161\) | −4.56653 | + | 3.41162i | −0.359893 | + | 0.268874i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.763165 | + | 10.1837i | 0.0597757 | + | 0.797651i | 0.943865 | + | 0.330332i | \(0.107161\pi\) |
−0.884089 | + | 0.467318i | \(0.845220\pi\) | |||||||
\(164\) | 45.7614 | + | 14.1155i | 3.57336 | + | 1.10224i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.97641 | − | 10.3514i | −0.463859 | − | 0.803428i | ||||
\(167\) | −2.46611 | − | 10.8047i | −0.190833 | − | 0.836095i | −0.976167 | − | 0.217022i | \(-0.930366\pi\) |
0.785334 | − | 0.619073i | \(-0.212491\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.04720 | + | 8.96939i | −0.157477 | + | 0.689953i | ||||
\(170\) | 28.8286 | − | 8.89244i | 2.21105 | − | 0.682019i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.94841 | − | 7.51242i | −0.224814 | − | 0.572817i | ||||
\(173\) | 2.28093 | − | 0.703575i | 0.173416 | − | 0.0534918i | −0.206831 | − | 0.978377i | \(-0.566315\pi\) |
0.380247 | + | 0.924885i | \(0.375839\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 17.9197 | + | 20.5788i | 1.35460 | + | 1.55561i | ||||
\(176\) | −0.251238 | − | 1.10075i | −0.0189378 | − | 0.0829718i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −11.3815 | + | 19.7133i | −0.853076 | + | 1.47757i | ||||
\(179\) | 2.31602 | + | 0.714398i | 0.173108 | + | 0.0533966i | 0.380097 | − | 0.924946i | \(-0.375890\pi\) |
−0.206990 | + | 0.978343i | \(0.566367\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.00021 | + | 6.27006i | −0.371663 | + | 0.466050i | −0.932129 | − | 0.362127i | \(-0.882051\pi\) |
0.560466 | + | 0.828177i | \(0.310622\pi\) | |||||||
\(182\) | −25.6979 | + | 19.1987i | −1.90486 | + | 1.42311i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 10.6536 | − | 9.88505i | 0.785390 | − | 0.728736i | ||||
\(185\) | −34.0814 | + | 5.13695i | −2.50572 | + | 0.377676i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.412189 | − | 0.0621276i | −0.0301423 | − | 0.00454322i | ||||
\(188\) | −4.18520 | + | 2.01549i | −0.305237 | + | 0.146994i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −17.3782 | − | 8.36889i | −1.26075 | − | 0.607143i | ||||
\(191\) | 6.26583 | + | 4.27197i | 0.453379 | + | 0.309109i | 0.768393 | − | 0.639978i | \(-0.221057\pi\) |
−0.315014 | + | 0.949087i | \(0.602009\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.956849 | + | 12.7683i | −0.0688755 | + | 0.919079i | 0.850570 | + | 0.525862i | \(0.176257\pi\) |
−0.919445 | + | 0.393218i | \(0.871362\pi\) | |||||||
\(194\) | −4.66501 | + | 11.8863i | −0.334928 | + | 0.853384i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −32.2857 | − | 2.04061i | −2.30612 | − | 0.145758i | ||||
\(197\) | 10.0075 | 0.713008 | 0.356504 | − | 0.934294i | \(-0.383969\pi\) | ||||
0.356504 | + | 0.934294i | \(0.383969\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.72364 | − | 23.0003i | 0.122185 | − | 1.63045i | −0.513209 | − | 0.858264i | \(-0.671543\pi\) |
0.635394 | − | 0.772188i | \(-0.280838\pi\) | |||||||
\(200\) | −50.9995 | − | 47.3206i | −3.60621 | − | 3.34607i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.9268 | + | 5.74363i | 0.839164 | + | 0.404120i | ||||
\(203\) | 5.57067 | + | 8.75180i | 0.390984 | + | 0.614256i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −40.0976 | − | 6.04375i | −2.80054 | − | 0.422114i | ||||
\(206\) | −11.5784 | + | 7.89402i | −0.806706 | + | 0.550003i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 28.0282 | − | 26.0063i | 1.94340 | − | 1.80322i | ||||
\(209\) | 0.166165 | + | 0.208364i | 0.0114939 | + | 0.0144128i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.00976 | + | 10.0439i | −0.551415 | + | 0.691452i | −0.976945 | − | 0.213492i | \(-0.931516\pi\) |
0.425530 | + | 0.904944i | \(0.360088\pi\) | |||||||
\(212\) | 0.831862 | + | 11.1004i | 0.0571325 | + | 0.762381i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.42627 | + | 5.93448i | −0.234215 | + | 0.405672i | ||||
\(215\) | 3.41681 | + | 5.91808i | 0.233024 | + | 0.403610i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.0189129 | + | 0.103255i | −0.00128389 | + | 0.00700937i | ||||
\(218\) | 6.43969 | − | 28.2141i | 0.436151 | − | 1.91090i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.919279 | + | 2.34229i | 0.0619778 | + | 0.157917i | ||||
\(221\) | −5.15726 | − | 13.1405i | −0.346915 | − | 0.883925i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.26898 | − | 9.94104i | 0.151942 | − | 0.665701i | −0.840378 | − | 0.542001i | \(-0.817667\pi\) |
0.992320 | − | 0.123700i | \(-0.0394760\pi\) | |||||||
\(224\) | 19.5346 | − | 0.845191i | 1.30521 | − | 0.0564717i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.70860 | − | 15.0837i | −0.579288 | − | 1.00336i | ||||
\(227\) | 6.46298 | − | 11.1942i | 0.428963 | − | 0.742985i | −0.567818 | − | 0.823154i | \(-0.692212\pi\) |
0.996781 | + | 0.0801683i | \(0.0255458\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.469288 | − | 6.26222i | −0.0310115 | − | 0.413819i | −0.991008 | − | 0.133806i | \(-0.957280\pi\) |
0.959996 | − | 0.280013i | \(-0.0903389\pi\) | |||||||
\(230\) | −13.5266 | + | 16.9618i | −0.891914 | + | 1.11843i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.4914 | − | 20.6796i | −1.08271 | − | 1.35768i | ||||
\(233\) | 11.2800 | − | 10.4663i | 0.738977 | − | 0.685671i | −0.217963 | − | 0.975957i | \(-0.569941\pi\) |
0.956940 | + | 0.290286i | \(0.0937506\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.24993 | − | 2.21576i | 0.212002 | − | 0.144540i | ||||
\(236\) | −29.8672 | − | 4.50175i | −1.94419 | − | 0.293039i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.62421 | − | 19.2915i | 0.429383 | − | 1.25048i | ||||
\(239\) | −8.34810 | − | 4.02023i | −0.539993 | − | 0.260047i | 0.143946 | − | 0.989585i | \(-0.454021\pi\) |
−0.683940 | + | 0.729538i | \(0.739735\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.98638 | − | 8.33814i | −0.578864 | − | 0.537107i | 0.335479 | − | 0.942048i | \(-0.391102\pi\) |
−0.914343 | + | 0.404941i | \(0.867292\pi\) | |||||||
\(242\) | −2.11154 | + | 28.1766i | −0.135735 | + | 1.81126i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −31.3884 | −2.00944 | ||||||||
\(245\) | 27.2905 | − | 2.36595i | 1.74353 | − | 0.151155i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.29726 | + | 8.40129i | −0.209800 | + | 0.534561i | ||||
\(248\) | 0.0200004 | − | 0.266887i | 0.00127003 | − | 0.0169474i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 44.2095 | + | 30.1415i | 2.79606 | + | 1.90632i | ||||
\(251\) | −6.08284 | − | 2.92934i | −0.383945 | − | 0.184898i | 0.231947 | − | 0.972728i | \(-0.425490\pi\) |
−0.615893 | + | 0.787830i | \(0.711205\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.270074 | − | 0.130061i | 0.0169794 | − | 0.00817685i | ||||
\(254\) | −52.8210 | − | 7.96148i | −3.31428 | − | 0.499548i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 24.8727 | − | 3.74895i | 1.55454 | − | 0.234310i | ||||
\(257\) | 10.7485 | − | 9.97318i | 0.670475 | − | 0.622110i | −0.269643 | − | 0.962960i | \(-0.586906\pi\) |
0.940117 | + | 0.340851i | \(0.110715\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.7681 | + | 20.6655i | −0.669098 | + | 1.28409i | ||||
\(260\) | −53.1281 | + | 66.6205i | −3.29486 | + | 4.13163i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 16.2465 | + | 5.01139i | 1.00371 | + | 0.309605i | ||||
\(263\) | 13.1948 | − | 22.8541i | 0.813626 | − | 1.40924i | −0.0966842 | − | 0.995315i | \(-0.530824\pi\) |
0.910310 | − | 0.413927i | \(-0.135843\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.09743 | − | 9.18945i | −0.128844 | − | 0.564504i | ||||
\(266\) | −11.4938 | + | 6.16078i | −0.704729 | + | 0.377741i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −42.6967 | + | 13.1702i | −2.60811 | + | 0.804497i | ||||
\(269\) | −7.58128 | − | 19.3168i | −0.462239 | − | 1.17777i | −0.952051 | − | 0.305938i | \(-0.901030\pi\) |
0.489813 | − | 0.871828i | \(-0.337065\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.41986 | − | 1.05489i | 0.207742 | − | 0.0640799i | −0.189138 | − | 0.981951i | \(-0.560569\pi\) |
0.396880 | + | 0.917871i | \(0.370093\pi\) | |||||||
\(272\) | −5.41000 | + | 23.7028i | −0.328030 | + | 1.43719i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.76768 | + | 38.4137i | 0.529675 | + | 2.32066i | ||||
\(275\) | −0.717487 | − | 1.24272i | −0.0432661 | − | 0.0749391i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.2980 | + | 4.10190i | 0.799001 | + | 0.246459i | 0.667260 | − | 0.744825i | \(-0.267467\pi\) |
0.131741 | + | 0.991284i | \(0.457943\pi\) | |||||||
\(278\) | −1.09655 | − | 14.6324i | −0.0657667 | − | 0.877595i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −68.5458 | + | 13.3846i | −4.09640 | + | 0.799885i | ||||
\(281\) | −10.0866 | − | 12.6482i | −0.601715 | − | 0.754527i | 0.383929 | − | 0.923363i | \(-0.374571\pi\) |
−0.985644 | + | 0.168836i | \(0.945999\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −29.6636 | + | 4.47107i | −1.76332 | + | 0.265777i | −0.949143 | − | 0.314844i | \(-0.898048\pi\) |
−0.814173 | + | 0.580622i | \(0.802810\pi\) | |||||||
\(284\) | 51.9385 | − | 35.4111i | 3.08198 | − | 2.10126i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.51983 | − | 0.731911i | 0.0898693 | − | 0.0432788i | ||||
\(287\) | −19.2726 | + | 19.4990i | −1.13763 | + | 1.15099i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.62967 | − | 4.52003i | −0.389980 | − | 0.265884i | ||||
\(290\) | 28.9442 | + | 26.8563i | 1.69966 | + | 1.57705i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 23.0391 | − | 58.7027i | 1.34826 | − | 3.43531i | ||||
\(293\) | −16.1579 | −0.943957 | −0.471978 | − | 0.881610i | \(-0.656460\pi\) | ||||
−0.471978 | + | 0.881610i | \(0.656460\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 25.5760 | 1.48909 | ||||||||
\(296\) | 21.7057 | − | 55.3051i | 1.26162 | − | 3.21454i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 39.5644 | + | 36.7104i | 2.29190 | + | 2.12657i | ||||
\(299\) | 8.38734 | + | 5.71839i | 0.485052 | + | 0.330703i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.59408 | + | 0.490478i | 0.264799 | + | 0.0282707i | ||||
\(302\) | 23.7338 | − | 11.4296i | 1.36573 | − | 0.657699i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 12.8430 | − | 8.75622i | 0.736597 | − | 0.502204i | ||||
\(305\) | 26.2817 | − | 3.96133i | 1.50488 | − | 0.226825i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4101 | + | 21.8316i | 0.993648 | + | 1.24600i | 0.969195 | + | 0.246294i | \(0.0792130\pi\) |
0.0244531 | + | 0.999701i | \(0.492216\pi\) | |||||||
\(308\) | 1.64579 | + | 0.430703i | 0.0937775 | + | 0.0245416i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0298564 | + | 0.398406i | 0.00169573 | + | 0.0226279i | ||||
\(311\) | −7.27265 | − | 2.24332i | −0.412394 | − | 0.127207i | 0.0816140 | − | 0.996664i | \(-0.473993\pi\) |
−0.494008 | + | 0.869457i | \(0.664469\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.60290 | − | 13.1686i | −0.429741 | − | 0.744334i | 0.567109 | − | 0.823643i | \(-0.308062\pi\) |
−0.996850 | + | 0.0793092i | \(0.974729\pi\) | |||||||
\(314\) | −6.98893 | − | 30.6205i | −0.394408 | − | 1.72802i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.490140 | + | 2.14744i | −0.0275725 | + | 0.120803i | ||||
\(317\) | −20.6410 | + | 6.36691i | −1.15931 | + | 0.357601i | −0.813988 | − | 0.580882i | \(-0.802708\pi\) |
−0.345326 | + | 0.938483i | \(0.612232\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.199315 | − | 0.507846i | −0.0111595 | − | 0.0284339i | ||||
\(320\) | 10.4217 | − | 3.21468i | 0.582592 | − | 0.179706i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.87900 | + | 14.1457i | 0.216168 | + | 0.788307i | ||||
\(323\) | −1.27701 | − | 5.59493i | −0.0710545 | − | 0.311310i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.2974 | − | 42.0844i | 1.34778 | − | 2.33442i | ||||
\(326\) | 25.1109 | + | 7.74570i | 1.39077 | + | 0.428995i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 43.5817 | − | 54.6498i | 2.40640 | − | 3.01753i | ||||
\(329\) | 0.0839165 | − | 2.65804i | 0.00462646 | − | 0.146542i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.1800 | − | 18.7243i | 1.10919 | − | 1.02918i | 0.109812 | − | 0.993952i | \(-0.464975\pi\) |
0.999379 | − | 0.0352268i | \(-0.0112153\pi\) | |||||||
\(332\) | −21.2273 | + | 3.19950i | −1.16500 | + | 0.175595i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −28.1994 | − | 4.25037i | −1.54300 | − | 0.232570i | ||||
\(335\) | 34.0880 | − | 16.4159i | 1.86243 | − | 0.896897i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.68910 | − | 4.18445i | −0.473326 | − | 0.227942i | 0.181985 | − | 0.983301i | \(-0.441748\pi\) |
−0.655310 | + | 0.755360i | \(0.727462\pi\) | |||||||
\(338\) | 19.5602 | + | 13.3359i | 1.06393 | + | 0.725377i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.04909 | − | 54.0313i | 0.219592 | − | 2.93026i | ||||
\(341\) | 0.00201677 | − | 0.00513864i | 0.000109214 | − | 0.000278273i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.57715 | − | 15.8518i | 0.517118 | − | 0.855914i | ||||
\(344\) | −11.7796 | −0.635111 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.459009 | − | 6.12504i | 0.0246765 | − | 0.329284i | ||||
\(347\) | 22.3873 | + | 20.7723i | 1.20181 | + | 1.11512i | 0.990473 | + | 0.137705i | \(0.0439725\pi\) |
0.211338 | + | 0.977413i | \(0.432218\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.3398 | − | 5.46098i | −0.607007 | − | 0.292319i | 0.105021 | − | 0.994470i | \(-0.466509\pi\) |
−0.712028 | + | 0.702151i | \(0.752223\pi\) | |||||||
\(350\) | 66.1395 | − | 23.5776i | 3.53531 | − | 1.26028i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.01675 | − | 0.153250i | −0.0541929 | − | 0.00816827i | ||||
\(353\) | 15.4520 | − | 10.5350i | 0.822427 | − | 0.560721i | −0.0773841 | − | 0.997001i | \(-0.524657\pi\) |
0.899811 | + | 0.436280i | \(0.143704\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −39.0194 | + | 36.2047i | −2.07093 | + | 1.92154i | ||||
\(356\) | 25.4894 | + | 31.9626i | 1.35093 | + | 1.69402i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.88853 | − | 4.87606i | 0.205515 | − | 0.257708i | ||||
\(359\) | −0.695229 | − | 9.27718i | −0.0366928 | − | 0.489631i | −0.985032 | − | 0.172372i | \(-0.944857\pi\) |
0.948339 | − | 0.317259i | \(-0.102762\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.66546 | − | 13.2770i | 0.403445 | − | 0.698788i | ||||
\(362\) | 10.3182 | + | 17.8717i | 0.542314 | + | 0.939316i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.2355 | + | 55.5598i | 0.798556 | + | 2.91212i | ||||
\(365\) | −11.8823 | + | 52.0596i | −0.621946 | + | 2.72492i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.03188 | − | 15.3690i | −0.314862 | − | 0.802254i | −0.997444 | − | 0.0714459i | \(-0.977239\pi\) |
0.682583 | − | 0.730808i | \(-0.260857\pi\) | |||||||
\(368\) | −6.38738 | − | 16.2748i | −0.332965 | − | 0.848382i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.7353 | + | 86.4659i | −1.02599 | + | 4.49515i | ||||
\(371\) | −5.85580 | − | 2.51426i | −0.304018 | − | 0.130534i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.79667 | + | 16.9683i | 0.507253 | + | 0.878587i | 0.999965 | + | 0.00839486i | \(0.00267220\pi\) |
−0.492712 | + | 0.870192i | \(0.663994\pi\) | |||||||
\(374\) | −0.536317 | + | 0.928928i | −0.0277323 | + | 0.0480337i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.506689 | + | 6.76130i | 0.0261305 | + | 0.348687i | ||||
\(377\) | 11.5190 | − | 14.4444i | 0.593261 | − | 0.743926i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.35557 | − | 5.46171i | −0.223730 | − | 0.280549i | 0.657279 | − | 0.753647i | \(-0.271707\pi\) |
−0.881010 | + | 0.473098i | \(0.843136\pi\) | |||||||
\(380\) | −25.3940 | + | 23.5622i | −1.30268 | + | 1.20871i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 16.1233 | − | 10.9927i | 0.824942 | − | 0.562436i | ||||
\(383\) | −17.3675 | − | 2.61773i | −0.887439 | − | 0.133760i | −0.310525 | − | 0.950565i | \(-0.600505\pi\) |
−0.576914 | + | 0.816805i | \(0.695743\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.43238 | − | 0.152925i | −0.0730009 | − | 0.00779380i | ||||
\(386\) | 29.6848 | + | 14.2954i | 1.51092 | + | 0.727619i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 16.8109 | + | 15.5982i | 0.853444 | + | 0.791880i | ||||
\(389\) | −0.530297 | + | 7.07632i | −0.0268871 | + | 0.358784i | 0.967492 | + | 0.252903i | \(0.0813853\pi\) |
−0.994379 | + | 0.105881i | \(0.966234\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.45484 | −0.326435 | ||||||||
\(392\) | −19.9893 | + | 42.7792i | −1.00961 | + | 2.16067i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 9.40812 | − | 23.9715i | 0.473974 | − | 1.20767i | ||||
\(395\) | 0.139382 | − | 1.85992i | 0.00701305 | − | 0.0935827i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.43094 | − | 2.33917i | −0.172194 | − | 0.117400i | 0.474156 | − | 0.880441i | \(-0.342753\pi\) |
−0.646350 | + | 0.763041i | \(0.723705\pi\) | |||||||
\(398\) | −53.4733 | − | 25.7514i | −2.68037 | − | 1.29080i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −75.4060 | + | 36.3136i | −3.77030 | + | 1.81568i | ||||
\(401\) | −33.2580 | − | 5.01284i | −1.66083 | − | 0.250329i | −0.749497 | − | 0.662008i | \(-0.769704\pi\) |
−0.911329 | + | 0.411679i | \(0.864943\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.184852 | − | 0.0278620i | 0.00920815 | − | 0.00138791i | ||||
\(404\) | 17.4281 | − | 16.1709i | 0.867079 | − | 0.804532i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 26.2005 | − | 5.11606i | 1.30031 | − | 0.253906i | ||||
\(407\) | 0.764042 | − | 0.958078i | 0.0378721 | − | 0.0474902i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.04761 | − | 1.24852i | −0.200142 | − | 0.0617355i | 0.193064 | − | 0.981186i | \(-0.438158\pi\) |
−0.393205 | + | 0.919451i | \(0.628634\pi\) | |||||||
\(410\) | −52.1727 | + | 90.3658i | −2.57663 | + | 4.46285i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.60036 | + | 24.5368i | 0.275910 | + | 1.20884i | ||||
\(413\) | 10.1869 | − | 13.9727i | 0.501263 | − | 0.687554i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.3699 | − | 5.35790i | 0.852655 | − | 0.263009i | ||||
\(416\) | −12.7214 | − | 32.4137i | −0.623720 | − | 1.58921i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.655315 | − | 0.202138i | 0.0320525 | − | 0.00988688i | ||||
\(419\) | 7.98259 | − | 34.9740i | 0.389975 | − | 1.70859i | −0.274760 | − | 0.961513i | \(-0.588598\pi\) |
0.664735 | − | 0.747079i | \(-0.268544\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.26851 | + | 36.2267i | 0.402982 | + | 1.76558i | 0.615212 | + | 0.788362i | \(0.289070\pi\) |
−0.212230 | + | 0.977220i | \(0.568073\pi\) | |||||||
\(422\) | 16.5286 | + | 28.6284i | 0.804601 | + | 1.39361i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.5260 | + | 4.78914i | 0.754009 | + | 0.232581i | ||||
\(425\) | 2.30915 | + | 30.8135i | 0.112010 | + | 1.49467i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.30375 | − | 15.9360i | 0.401847 | − | 0.771199i | ||||
\(428\) | 7.67331 | + | 9.62203i | 0.370904 | + | 0.465098i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 17.3880 | − | 2.62082i | 0.838523 | − | 0.126387i | ||||
\(431\) | 13.1900 | − | 8.99282i | 0.635342 | − | 0.433169i | −0.202349 | − | 0.979314i | \(-0.564857\pi\) |
0.837691 | + | 0.546145i | \(0.183905\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.3540 | − | 8.35727i | 0.833982 | − | 0.401625i | 0.0323749 | − | 0.999476i | \(-0.489693\pi\) |
0.801607 | + | 0.597851i | \(0.203979\pi\) | |||||||
\(434\) | 0.229550 | + | 0.142373i | 0.0110187 | + | 0.00683411i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −42.9439 | − | 29.2787i | −2.05664 | − | 1.40219i | ||||
\(437\) | 3.02520 | + | 2.80698i | 0.144715 | + | 0.134276i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.118250 | + | 0.301295i | −0.00564375 | + | 0.0143800i | −0.933668 | − | 0.358140i | \(-0.883411\pi\) |
0.928024 | + | 0.372520i | \(0.121506\pi\) | |||||||
\(440\) | 3.67273 | 0.175090 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −36.3243 | −1.72777 | ||||||||
\(443\) | −8.30603 | + | 21.1634i | −0.394631 | + | 1.00550i | 0.586117 | + | 0.810227i | \(0.300656\pi\) |
−0.980748 | + | 0.195278i | \(0.937439\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −25.3761 | − | 23.5456i | −1.20294 | − | 1.11617i | ||||
\(446\) | −21.6791 | − | 14.7806i | −1.02654 | − | 0.699880i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.39469 | − | 6.97401i | 0.113139 | − | 0.329491i | ||||
\(449\) | −21.6475 | + | 10.4249i | −1.02161 | + | 0.491981i | −0.868217 | − | 0.496184i | \(-0.834734\pi\) |
−0.153393 | + | 0.988165i | \(0.549020\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.19123 | − | 0.812164i | 0.0560926 | − | 0.0382433i | ||||
\(452\) | −30.9316 | + | 4.66219i | −1.45490 | + | 0.219291i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −20.7381 | − | 26.0047i | −0.973286 | − | 1.22046i | ||||
\(455\) | −19.7686 | − | 44.5977i | −0.926765 | − | 2.09077i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.588905 | − | 7.85838i | −0.0275478 | − | 0.367600i | −0.993893 | − | 0.110350i | \(-0.964803\pi\) |
0.966345 | − | 0.257250i | \(-0.0828163\pi\) | |||||||
\(458\) | −15.4413 | − | 4.76302i | −0.721526 | − | 0.222561i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 19.4818 | + | 33.7435i | 0.908344 | + | 1.57330i | ||||
\(461\) | 1.64847 | + | 7.22240i | 0.0767767 | + | 0.336381i | 0.998699 | − | 0.0509943i | \(-0.0162390\pi\) |
−0.921922 | + | 0.387375i | \(0.873382\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.92874 | + | 21.5942i | −0.229058 | + | 1.00357i | 0.721352 | + | 0.692568i | \(0.243521\pi\) |
−0.950410 | + | 0.310999i | \(0.899336\pi\) | |||||||
\(464\) | −30.4058 | + | 9.37896i | −1.41156 | + | 0.435407i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.4660 | − | 36.8588i | −0.670126 | − | 1.70745i | ||||
\(467\) | 37.6718 | − | 11.6202i | 1.74324 | − | 0.537719i | 0.750810 | − | 0.660519i | \(-0.229664\pi\) |
0.992431 | + | 0.122800i | \(0.0391873\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.60877 | − | 25.1614i | 0.212813 | − | 1.16185i | ||||
\(470\) | −2.25224 | − | 9.86772i | −0.103888 | − | 0.455164i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −22.0436 | + | 38.1806i | −1.01464 | + | 1.75740i | ||||
\(473\) | −0.232170 | − | 0.0716149i | −0.0106752 | − | 0.00329286i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.3174 | − | 15.4456i | 0.565163 | − | 0.708692i | ||||
\(476\) | −27.9057 | − | 23.7326i | −1.27906 | − | 1.08778i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −17.4779 | + | 16.2171i | −0.799420 | + | 0.741753i | ||||
\(479\) | 21.6401 | − | 3.26172i | 0.988761 | − | 0.149032i | 0.365303 | − | 0.930889i | \(-0.380965\pi\) |
0.623458 | + | 0.781857i | \(0.285727\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 41.0351 | + | 6.18504i | 1.87104 | + | 0.282014i | ||||
\(482\) | −28.4208 | + | 13.6867i | −1.29453 | + | 0.623414i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 45.7210 | + | 22.0181i | 2.07823 | + | 1.00082i | ||||
\(485\) | −16.0444 | − | 10.9389i | −0.728538 | − | 0.496709i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.715270 | − | 9.54461i | 0.0324120 | − | 0.432508i | −0.957267 | − | 0.289206i | \(-0.906609\pi\) |
0.989679 | − | 0.143302i | \(-0.0457721\pi\) | |||||||
\(488\) | −16.7382 | + | 42.6482i | −0.757701 | + | 1.93059i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 19.9886 | − | 67.5943i | 0.902993 | − | 3.05360i | ||||
\(491\) | −38.5914 | −1.74161 | −0.870804 | − | 0.491631i | \(-0.836401\pi\) | ||||
−0.870804 | + | 0.491631i | \(0.836401\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.877909 | + | 11.7149i | −0.0395390 | + | 0.527612i | ||||
\(494\) | 17.0242 | + | 15.7961i | 0.765955 | + | 0.710702i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.290081 | − | 0.139695i | −0.0130250 | − | 0.00627251i | ||||
\(497\) | 4.23811 | + | 35.7373i | 0.190105 | + | 1.60304i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.47023 | − | 0.673779i | −0.200115 | − | 0.0301625i | 0.0482197 | − | 0.998837i | \(-0.484645\pi\) |
−0.248335 | + | 0.968674i | \(0.579883\pi\) | |||||||
\(500\) | 79.3995 | − | 54.1336i | 3.55085 | − | 2.42093i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −12.7353 | + | 11.8166i | −0.568402 | + | 0.527400i | ||||
\(503\) | 12.2438 | + | 15.3532i | 0.545924 | + | 0.684568i | 0.975886 | − | 0.218279i | \(-0.0700444\pi\) |
−0.429962 | + | 0.902847i | \(0.641473\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.5518 | + | 15.7394i | −0.558547 | + | 0.700396i | ||||
\(506\) | −0.0576428 | − | 0.769189i | −0.00256253 | − | 0.0341946i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −47.9685 | + | 83.0838i | −2.12826 | + | 3.68625i | ||||
\(509\) | 2.51327 | + | 4.35312i | 0.111399 | + | 0.192948i | 0.916334 | − | 0.400414i | \(-0.131134\pi\) |
−0.804936 | + | 0.593362i | \(0.797800\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.7086 | + | 27.2267i | 1.04881 | + | 1.20444i | ||||
\(512\) | 11.0165 | − | 48.2665i | 0.486865 | − | 2.13310i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.7844 | − | 35.1222i | −0.608006 | − | 1.54917i | ||||
\(515\) | −7.78583 | − | 19.8380i | −0.343085 | − | 0.874165i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0311193 | + | 0.136343i | −0.00136863 | + | 0.00599635i | ||||
\(518\) | 39.3777 | + | 45.2209i | 1.73016 | + | 1.98689i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 62.1877 | + | 107.712i | 2.72711 | + | 4.72350i | ||||
\(521\) | 20.2977 | − | 35.1566i | 0.889257 | − | 1.54024i | 0.0485023 | − | 0.998823i | \(-0.484555\pi\) |
0.840755 | − | 0.541416i | \(-0.182111\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.02070 | + | 26.9644i | 0.0883590 | + | 1.17907i | 0.848458 | + | 0.529262i | \(0.177531\pi\) |
−0.760099 | + | 0.649807i | \(0.774850\pi\) | |||||||
\(524\) | 19.0383 | − | 23.8733i | 0.831691 | − | 1.04291i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −42.3388 | − | 53.0912i | −1.84606 | − | 2.31489i | ||||
\(527\) | −0.0871373 | + | 0.0808516i | −0.00379576 | + | 0.00352195i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.1683 | + | 10.3416i | −0.659491 | + | 0.449633i | ||||
\(530\) | −23.9837 | − | 3.61496i | −1.04178 | − | 0.157024i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.75818 | + | 23.2580i | 0.119582 | + | 1.00836i | ||||
\(533\) | 43.9890 | + | 21.1840i | 1.90537 | + | 0.917580i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.63923 | − | 7.08817i | −0.330273 | − | 0.306448i | ||||
\(536\) | −4.87378 | + | 65.0360i | −0.210515 | + | 2.80913i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −53.3975 | −2.30213 | ||||||||
\(539\) | −0.654060 | + | 0.721632i | −0.0281723 | + | 0.0310829i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.64749 | − | 9.29366i | 0.156818 | − | 0.399566i | −0.830774 | − | 0.556611i | \(-0.812102\pi\) |
0.987591 | + | 0.157045i | \(0.0501968\pi\) | |||||||
\(542\) | 0.688204 | − | 9.18344i | 0.0295609 | − | 0.394462i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.2941 | + | 12.4727i | 0.784351 | + | 0.534761i | ||||
\(545\) | 39.6522 | + | 19.0955i | 1.69851 | + | 0.817961i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.6917 | − | 13.3356i | 1.18401 | − | 0.570190i | 0.264934 | − | 0.964267i | \(-0.414650\pi\) |
0.919078 | + | 0.394077i | \(0.128936\pi\) | |||||||
\(548\) | 69.9741 | + | 10.5469i | 2.98915 | + | 0.450541i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.65126 | + | 0.550339i | −0.155690 | + | 0.0234665i | ||||
\(551\) | 5.50584 | − | 5.10867i | 0.234557 | − | 0.217637i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.960599 | − | 0.816948i | −0.0408488 | − | 0.0347401i | ||||
\(554\) | 22.3269 | − | 27.9971i | 0.948581 | − | 1.18948i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −25.1825 | − | 7.76776i | −1.06797 | − | 0.329427i | ||||
\(557\) | 8.61938 | − | 14.9292i | 0.365215 | − | 0.632571i | −0.623596 | − | 0.781747i | \(-0.714329\pi\) |
0.988811 | + | 0.149176i | \(0.0476622\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.83088 | − | 8.02159i | −0.0774378 | − | 0.339277i | ||||
\(560\) | −15.1376 | + | 82.6429i | −0.639679 | + | 3.49230i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −39.7791 | + | 12.2702i | −1.67798 | + | 0.517588i | ||||
\(563\) | 11.7324 | + | 29.8938i | 0.494463 | + | 1.25987i | 0.932583 | + | 0.360955i | \(0.117549\pi\) |
−0.438120 | + | 0.898916i | \(0.644356\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.3108 | − | 7.80734i | 1.06483 | − | 0.328457i | ||||
\(566\) | −17.1771 | + | 75.2576i | −0.722006 | + | 3.16331i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −20.4171 | − | 89.4533i | −0.856684 | − | 3.75338i | ||||
\(569\) | 2.41715 | + | 4.18663i | 0.101332 | + | 0.175513i | 0.912234 | − | 0.409670i | \(-0.134356\pi\) |
−0.810901 | + | 0.585183i | \(0.801023\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.8673 | + | 8.90440i | 1.20806 | + | 0.372637i | 0.832429 | − | 0.554132i | \(-0.186950\pi\) |
0.375632 | + | 0.926769i | \(0.377426\pi\) | |||||||
\(572\) | −0.226403 | − | 3.02114i | −0.00946638 | − | 0.126320i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 28.5886 | + | 64.4955i | 1.19326 | + | 2.69199i | ||||
\(575\) | −13.8543 | − | 17.3727i | −0.577763 | − | 0.724493i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 29.0522 | − | 4.37891i | 1.20946 | − | 0.182296i | 0.486807 | − | 0.873510i | \(-0.338162\pi\) |
0.722651 | + | 0.691213i | \(0.242924\pi\) | |||||||
\(578\) | −17.0596 | + | 11.6310i | −0.709585 | + | 0.483787i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 63.8907 | − | 30.7682i | 2.65292 | − | 1.27758i | ||||
\(581\) | 3.99124 | − | 11.6236i | 0.165584 | − | 0.482228i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.276895 | + | 0.188784i | 0.0114678 | + | 0.00781861i | ||||
\(584\) | −67.4748 | − | 62.6075i | −2.79213 | − | 2.59072i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.1901 | + | 38.7038i | −0.627498 | + | 1.59884i | ||||
\(587\) | −37.6226 | −1.55285 | −0.776426 | − | 0.630209i | \(-0.782969\pi\) | ||||
−0.776426 | + | 0.630209i | \(0.782969\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.0759984 | 0.00313146 | ||||||||
\(590\) | 24.0441 | − | 61.2633i | 0.989879 | − | 2.52217i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −52.3931 | − | 48.6137i | −2.15334 | − | 1.99801i | ||||
\(593\) | 4.36557 | + | 2.97639i | 0.179272 | + | 0.122226i | 0.649631 | − | 0.760249i | \(-0.274923\pi\) |
−0.470359 | + | 0.882475i | \(0.655876\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 26.3607 | + | 16.3496i | 1.08068 | + | 0.670269i | ||||
\(596\) | 87.3335 | − | 42.0576i | 3.57732 | − | 1.72275i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 21.5824 | − | 14.7147i | 0.882572 | − | 0.601727i | ||||
\(599\) | −12.3024 | + | 1.85428i | −0.502661 | + | 0.0757639i | −0.395478 | − | 0.918475i | \(-0.629421\pi\) |
−0.107183 | + | 0.994239i | \(0.534183\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.01054 | + | 8.79094i | 0.285966 | + | 0.358590i | 0.903978 | − | 0.427578i | \(-0.140633\pi\) |
−0.618012 | + | 0.786168i | \(0.712062\pi\) | |||||||
\(602\) | 5.49377 | − | 10.5433i | 0.223909 | − | 0.429713i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.53553 | − | 47.1784i | −0.143859 | − | 1.91966i | ||||
\(605\) | −41.0611 | − | 12.6657i | −1.66937 | − | 0.514933i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.25907 | − | 5.64487i | −0.132282 | − | 0.229118i | 0.792274 | − | 0.610165i | \(-0.208897\pi\) |
−0.924556 | + | 0.381047i | \(0.875564\pi\) | |||||||
\(608\) | −3.15000 | − | 13.8010i | −0.127749 | − | 0.559706i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.2187 | − | 66.6776i | 0.616189 | − | 2.69970i | ||||
\(611\) | −4.52553 | + | 1.39594i | −0.183083 | + | 0.0564737i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.17952 | − | 15.7452i | −0.249588 | − | 0.635941i | 0.750089 | − | 0.661337i | \(-0.230011\pi\) |
−0.999677 | + | 0.0253960i | \(0.991915\pi\) | |||||||
\(614\) | 68.6614 | − | 21.1792i | 2.77095 | − | 0.854725i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.46284 | − | 2.00649i | 0.0589394 | − | 0.0808439i | ||||
\(617\) | 1.97237 | + | 8.64151i | 0.0794045 | + | 0.347894i | 0.998987 | − | 0.0450035i | \(-0.0143299\pi\) |
−0.919582 | + | 0.392897i | \(0.871473\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.9137 | − | 39.6878i | 0.920981 | − | 1.59519i | 0.123081 | − | 0.992397i | \(-0.460723\pi\) |
0.797900 | − | 0.602789i | \(-0.205944\pi\) | |||||||
\(620\) | 0.685658 | + | 0.211497i | 0.0275367 | + | 0.00849394i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.2105 | + | 15.3115i | −0.489598 | + | 0.613936i | ||||
\(623\) | −22.9707 | + | 4.48539i | −0.920303 | + | 0.179703i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.8474 | + | 20.2714i | −0.873897 | + | 0.810858i | ||||
\(626\) | −38.6908 | + | 5.83170i | −1.54640 | + | 0.233082i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −55.7781 | − | 8.40719i | −2.22579 | − | 0.335484i | ||||
\(629\) | −23.7744 | + | 11.4492i | −0.947948 | + | 0.456508i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −28.8831 | − | 13.9093i | −1.14982 | − | 0.553722i | −0.240838 | − | 0.970565i | \(-0.577422\pi\) |
−0.908979 | + | 0.416843i | \(0.863136\pi\) | |||||||
\(632\) | 2.65640 | + | 1.81111i | 0.105666 | + | 0.0720419i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.15374 | + | 55.4278i | −0.164966 | + | 2.20132i | ||||
\(635\) | 29.6788 | − | 75.6202i | 1.17777 | − | 3.00090i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −32.2384 | − | 6.96312i | −1.27733 | − | 0.275889i | ||||
\(638\) | −1.40384 | −0.0555786 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.22517 | + | 29.6928i | −0.0879575 | + | 1.17371i | ||||
\(641\) | −13.4779 | − | 12.5057i | −0.532345 | − | 0.493944i | 0.367578 | − | 0.929993i | \(-0.380187\pi\) |
−0.899923 | + | 0.436049i | \(0.856378\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 25.4981 | + | 12.2793i | 1.00555 | + | 0.484247i | 0.862818 | − | 0.505515i | \(-0.168697\pi\) |
0.142731 | + | 0.989762i | \(0.454412\pi\) | |||||||
\(644\) | 26.1944 | + | 2.79659i | 1.03220 | + | 0.110201i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −14.6023 | − | 2.20094i | −0.574519 | − | 0.0865948i | ||||
\(647\) | −37.5509 | + | 25.6018i | −1.47628 | + | 1.00651i | −0.485031 | + | 0.874497i | \(0.661192\pi\) |
−0.991248 | + | 0.132013i | \(0.957856\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.666591 | + | 0.618506i | −0.0261660 | + | 0.0242785i | ||||
\(650\) | −77.9643 | − | 97.7642i | −3.05801 | − | 3.83463i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 29.4259 | − | 36.8990i | 1.15241 | − | 1.44507i | ||||
\(653\) | 0.601189 | + | 8.02232i | 0.0235264 | + | 0.313937i | 0.996535 | + | 0.0831703i | \(0.0265045\pi\) |
−0.973009 | + | 0.230767i | \(0.925876\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.9280 | + | 22.3919i | −0.505137 | + | 0.874923i | ||||
\(656\) | −42.0446 | − | 72.8234i | −1.64157 | − | 2.84328i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.28801 | − | 2.69983i | −0.245132 | − | 0.105250i | ||||
\(659\) | 4.26560 | − | 18.6888i | 0.166164 | − | 0.728013i | −0.821342 | − | 0.570436i | \(-0.806774\pi\) |
0.987507 | − | 0.157578i | \(-0.0503684\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.3734 | + | 26.4311i | 0.403480 | + | 1.02805i | 0.977823 | + | 0.209434i | \(0.0671623\pi\) |
−0.574343 | + | 0.818615i | \(0.694742\pi\) | |||||||
\(662\) | −25.8798 | − | 65.9406i | −1.00585 | − | 2.56286i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.97241 | + | 30.5481i | −0.270582 | + | 1.18550i | ||||
\(665\) | −5.24468 | − | 19.1260i | −0.203380 | − | 0.741673i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.22398 | − | 7.31615i | −0.163553 | − | 0.283282i | ||||
\(668\) | −25.6088 | + | 44.3558i | −0.990835 | + | 1.71618i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.27551 | − | 97.0850i | −0.281078 | − | 3.75072i | ||||
\(671\) | −0.589186 | + | 0.738815i | −0.0227453 | + | 0.0285217i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.3707 | + | 33.0678i | 1.01652 | + | 1.27467i | 0.961098 | + | 0.276208i | \(0.0890777\pi\) |
0.0554181 | + | 0.998463i | \(0.482351\pi\) | |||||||
\(674\) | −18.1918 | + | 16.8796i | −0.700723 | + | 0.650176i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 35.1297 | − | 23.9510i | 1.35114 | − | 0.921193i | ||||
\(677\) | 12.9418 | + | 1.95066i | 0.497392 | + | 0.0749698i | 0.392948 | − | 0.919561i | \(-0.371455\pi\) |
0.104445 | + | 0.994531i | \(0.466693\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.3666 | + | 4.40848i | −0.474586 | + | 0.169182i | ||||
\(680\) | −71.2543 | − | 34.3143i | −2.73248 | − | 1.31589i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0104128 | − | 0.00966169i | −0.000398728 | − | 0.000369965i | ||||
\(683\) | −2.44303 | + | 32.5999i | −0.0934798 | + | 1.24740i | 0.731343 | + | 0.682010i | \(0.238894\pi\) |
−0.824823 | + | 0.565391i | \(0.808725\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −59.9207 | −2.28945 | ||||||||
\(686\) | −28.9669 | − | 37.8428i | −1.10596 | − | 1.44485i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.17717 | + | 13.1912i | −0.197378 | + | 0.502910i | ||||
\(689\) | −0.848106 | + | 11.3172i | −0.0323103 | + | 0.431151i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.82721 | + | 1.92756i | 0.107552 | + | 0.0733277i | 0.615902 | − | 0.787823i | \(-0.288792\pi\) |
−0.508350 | + | 0.861151i | \(0.669744\pi\) | |||||||
\(692\) | −9.93886 | − | 4.78631i | −0.377819 | − | 0.181948i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 70.8031 | − | 34.0970i | 2.68765 | − | 1.29430i | ||||
\(695\) | 22.0657 | + | 3.32587i | 0.837000 | + | 0.126157i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −30.6989 | + | 4.62711i | −1.16280 | + | 0.175264i | ||||
\(698\) | −23.7415 | + | 22.0289i | −0.898629 | + | 0.833806i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.97933 | − | 126.045i | 0.150405 | − | 4.76404i | ||||
\(701\) | −8.63359 | + | 10.8262i | −0.326086 | + | 0.408899i | −0.917669 | − | 0.397345i | \(-0.869932\pi\) |
0.591583 | + | 0.806244i | \(0.298503\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.1212 | + | 4.97274i | 0.608024 | + | 0.187551i | ||||
\(704\) | −0.193882 | + | 0.335814i | −0.00730721 | + | 0.0126565i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.7084 | − | 46.9168i | −0.403018 | − | 1.76574i | ||||
\(707\) | 3.59946 | + | 13.1263i | 0.135372 | + | 0.493665i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.3579 | − | 7.82187i | 0.952335 | − | 0.293756i | 0.220614 | − | 0.975361i | \(-0.429194\pi\) |
0.731721 | + | 0.681605i | \(0.238718\pi\) | |||||||
\(710\) | 50.0404 | + | 127.501i | 1.87798 | + | 4.78502i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 57.0208 | − | 17.5886i | 2.13694 | − | 0.659160i | ||||
\(713\) | 0.0190212 | − | 0.0833374i | 0.000712350 | − | 0.00312101i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.570846 | + | 2.50104i | 0.0213484 | + | 0.0935335i | ||||
\(716\) | −5.60051 | − | 9.70036i | −0.209301 | − | 0.362520i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −22.8756 | − | 7.05619i | −0.853710 | − | 0.263335i | ||||
\(719\) | −1.28620 | − | 17.1632i | −0.0479672 | − | 0.640078i | −0.968436 | − | 0.249262i | \(-0.919812\pi\) |
0.920469 | − | 0.390816i | \(-0.127807\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.9390 | − | 3.64783i | −0.519115 | − | 0.135852i | ||||
\(722\) | −24.5966 | − | 30.8431i | −0.915389 | − | 1.14786i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 36.6487 | − | 5.52391i | 1.36204 | − | 0.205294i | ||||
\(725\) | −33.4140 | + | 22.7813i | −1.24097 | + | 0.846076i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −34.9632 | + | 16.8374i | −1.29671 | + | 0.624464i | −0.949631 | − | 0.313370i | \(-0.898542\pi\) |
−0.347083 | + | 0.937835i | \(0.612828\pi\) | |||||||
\(728\) | 83.6148 | + | 8.92697i | 3.09897 | + | 0.330855i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 113.530 | + | 77.4034i | 4.20193 | + | 2.86483i | ||||
\(731\) | 3.83521 | + | 3.55856i | 0.141850 | + | 0.131618i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.73050 | − | 4.40925i | 0.0639175 | − | 0.162859i | −0.895347 | − | 0.445370i | \(-0.853072\pi\) |
0.959264 | + | 0.282511i | \(0.0911673\pi\) | |||||||
\(734\) | −42.4845 | −1.56813 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −15.9222 | −0.586899 | ||||||||
\(737\) | −0.491453 | + | 1.25220i | −0.0181029 | + | 0.0461254i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −29.8437 | − | 27.6909i | −1.09782 | − | 1.01863i | −0.999725 | − | 0.0234493i | \(-0.992535\pi\) |
−0.0980933 | − | 0.995177i | \(-0.531274\pi\) | |||||||
\(740\) | 131.607 | + | 89.7283i | 4.83798 | + | 3.29848i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.5276 | + | 11.6630i | −0.423190 | + | 0.428161i | ||||
\(743\) | −18.2058 | + | 8.76747i | −0.667908 | + | 0.321647i | −0.736931 | − | 0.675968i | \(-0.763726\pi\) |
0.0690235 | + | 0.997615i | \(0.478012\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −67.8169 | + | 46.2368i | −2.48462 | + | 1.69398i | ||||
\(746\) | 49.8548 | − | 7.51441i | 1.82531 | − | 0.275122i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.20111 | + | 1.50614i | 0.0439169 | + | 0.0550700i | ||||
\(749\) | −6.91510 | + | 1.35028i | −0.252672 | + | 0.0493382i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.80730 | − | 24.1167i | −0.0659492 | − | 0.880031i | −0.927850 | − | 0.372954i | \(-0.878345\pi\) |
0.861901 | − | 0.507077i | \(-0.169274\pi\) | |||||||
\(752\) | 7.79426 | + | 2.40421i | 0.284228 | + | 0.0876726i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −23.7703 | − | 41.1713i | −0.865662 | − | 1.49937i | ||||
\(755\) | 8.91438 | + | 39.0564i | 0.324427 | + | 1.42141i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.93906 | + | 12.8769i | −0.106822 | + | 0.468017i | 0.893016 | + | 0.450025i | \(0.148585\pi\) |
−0.999838 | + | 0.0179929i | \(0.994272\pi\) | |||||||
\(758\) | −17.1773 | + | 5.29850i | −0.623909 | + | 0.192450i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 18.4729 | + | 47.0681i | 0.670081 | + | 1.70734i | ||||
\(761\) | −36.5574 | + | 11.2765i | −1.32520 | + | 0.408771i | −0.874986 | − | 0.484148i | \(-0.839130\pi\) |
−0.450217 | + | 0.892919i | \(0.648653\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.2256 | − | 14.0572i | 0.949431 | − | 0.508904i | ||||
\(764\) | −7.79869 | − | 34.1683i | −0.282147 | − | 1.23617i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.5976 | + | 39.1402i | −0.816485 | + | 1.41419i | ||||
\(767\) | −29.4262 | − | 9.07679i | −1.06252 | − | 0.327744i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.76607 | − | 2.21458i | 0.0636861 | − | 0.0798599i | −0.748968 | − | 0.662606i | \(-0.769450\pi\) |
0.812654 | + | 0.582746i | \(0.198022\pi\) | |||||||
\(770\) | −1.71289 | + | 3.28728i | −0.0617284 | + | 0.118465i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 43.3771 | − | 40.2481i | 1.56118 | − | 1.44856i | ||||
\(773\) | 45.0280 | − | 6.78688i | 1.61954 | − | 0.244107i | 0.724235 | − | 0.689553i | \(-0.242193\pi\) |
0.895309 | + | 0.445446i | \(0.146955\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.404633 | − | 0.0609886i | −0.0145348 | − | 0.00219077i | ||||
\(776\) | 30.1582 | − | 14.5234i | 1.08262 | − | 0.521361i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 16.4517 | + | 7.92271i | 0.589821 | + | 0.284043i | ||||
\(779\) | 16.3999 | + | 11.1813i | 0.587587 | + | 0.400610i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.141427 | − | 1.88721i | 0.00506066 | − | 0.0675298i | ||||
\(782\) | −6.06820 | + | 15.4615i | −0.216999 | + | 0.552903i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 39.1204 | + | 41.1864i | 1.39716 | + | 1.47094i | ||||
\(785\) | 47.7643 | 1.70478 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.508738 | + | 6.78864i | −0.0181346 | + | 0.241989i | 0.980769 | + | 0.195172i | \(0.0625267\pi\) |
−0.998904 | + | 0.0468165i | \(0.985092\pi\) | |||||||
\(788\) | −33.9032 | − | 31.4576i | −1.20775 | − | 1.12063i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.32411 | − | 2.08238i | −0.153845 | − | 0.0740878i | ||||
\(791\) | 5.81588 | − | 16.9375i | 0.206789 | − | 0.602227i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −31.6439 | − | 4.76956i | −1.12371 | − | 0.169372i | ||||
\(794\) | −8.82855 | + | 6.01920i | −0.313313 | + | 0.213614i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −78.1382 | + | 72.5017i | −2.76954 | + | 2.56975i | ||||
\(797\) | −6.78998 | − | 8.51437i | −0.240513 | − | 0.301594i | 0.646894 | − | 0.762580i | \(-0.276067\pi\) |
−0.887408 | + | 0.460985i | \(0.847496\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.87759 | − | 2.35443i | 0.0664244 | − | 0.0832936i | ||||
\(800\) | 5.69599 | + | 76.0077i | 0.201384 | + | 2.68728i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −43.2734 | + | 74.9517i | −1.52804 | + | 2.64664i | ||||
\(803\) | −0.949271 | − | 1.64419i | −0.0334990 | − | 0.0580220i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.2856 | + | 0.964218i | −0.785464 | + | 0.0339842i | ||||
\(806\) | 0.107041 | − | 0.468977i | 0.00377036 | − | 0.0165190i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.6781 | − | 32.3032i | −0.446013 | − | 1.13642i | ||||
\(809\) | 4.61438 | + | 11.7572i | 0.162233 | + | 0.413362i | 0.988756 | − | 0.149541i | \(-0.0477796\pi\) |
−0.826523 | + | 0.562903i | \(0.809684\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.64550 | − | 20.3532i | 0.163125 | − | 0.714699i | −0.825513 | − | 0.564384i | \(-0.809114\pi\) |
0.988638 | − | 0.150316i | \(-0.0480290\pi\) | |||||||
\(812\) | 8.63817 | − | 47.1598i | 0.303140 | − | 1.65498i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.57665 | − | 2.73083i | −0.0552614 | − | 0.0957156i | ||||
\(815\) | −19.9817 | + | 34.6093i | −0.699928 | + | 1.21231i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.249968 | − | 3.33559i | −0.00874528 | − | 0.116698i | ||||
\(818\) | −6.79581 | + | 8.52168i | −0.237610 | + | 0.297953i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 116.843 | + | 146.517i | 4.08035 | + | 5.11660i | ||||
\(821\) | 27.7928 | − | 25.7880i | 0.969977 | − | 0.900007i | −0.0250428 | − | 0.999686i | \(-0.507972\pi\) |
0.995020 | + | 0.0996794i | \(0.0317817\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.92098 | − | 4.03686i | 0.206393 | − | 0.140716i | −0.455713 | − | 0.890127i | \(-0.650616\pi\) |
0.662105 | + | 0.749411i | \(0.269663\pi\) | |||||||
\(824\) | 36.3251 | + | 5.47513i | 1.26544 | + | 0.190735i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −23.8928 | − | 37.5368i | −0.831337 | − | 1.30607i | ||||
\(827\) | −12.8544 | − | 6.19037i | −0.446992 | − | 0.215260i | 0.196826 | − | 0.980438i | \(-0.436937\pi\) |
−0.643819 | + | 0.765178i | \(0.722651\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.196249 | + | 0.182092i | 0.00681599 | + | 0.00632432i | 0.683573 | − | 0.729882i | \(-0.260425\pi\) |
−0.676757 | + | 0.736206i | \(0.736615\pi\) | |||||||
\(830\) | 3.49547 | − | 46.6438i | 0.121330 | − | 1.61903i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −13.1315 | −0.455252 | ||||||||
\(833\) | 19.4316 | − | 7.88944i | 0.673263 | − | 0.273353i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.8445 | − | 40.3712i | 0.548322 | − | 1.39710i | ||||
\(836\) | 0.0920414 | − | 1.22821i | 0.00318332 | − | 0.0424784i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −76.2702 | − | 52.0002i | −2.63471 | − | 1.79632i | ||||
\(839\) | 19.5223 | + | 9.40144i | 0.673984 | + | 0.324574i | 0.739383 | − | 0.673285i | \(-0.235117\pi\) |
−0.0653982 | + | 0.997859i | \(0.520832\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.2755 | − | 5.91158i | 0.423294 | − | 0.203848i | ||||
\(842\) | 94.5485 | + | 14.2509i | 3.25836 | + | 0.491118i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 58.7071 | − | 8.84866i | 2.02078 | − | 0.304584i | ||||
\(845\) | −26.3915 | + | 24.4878i | −0.907896 | + | 0.842405i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.2741 | + | 17.3879i | −0.799707 | + | 0.597455i | ||||
\(848\) | 12.1868 | − | 15.2818i | 0.418497 | − | 0.524778i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 75.9796 | + | 23.4366i | 2.60608 | + | 0.803869i | ||||
\(851\) | 9.48785 | − | 16.4334i | 0.325239 | − | 0.563331i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.93423 | + | 34.7621i | 0.271663 | + | 1.19023i | 0.908050 | + | 0.418863i | \(0.137571\pi\) |
−0.636387 | + | 0.771370i | \(0.719572\pi\) | |||||||
\(854\) | −30.3659 | − | 34.8718i | −1.03910 | − | 1.19329i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 17.1655 | − | 5.29486i | 0.586706 | − | 0.180975i | ||||
\(857\) | −6.40780 | − | 16.3268i | −0.218886 | − | 0.557714i | 0.778681 | − | 0.627420i | \(-0.215889\pi\) |
−0.997568 | + | 0.0697064i | \(0.977794\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.6099 | − | 3.58118i | 0.396125 | − | 0.122188i | −0.0902918 | − | 0.995915i | \(-0.528780\pi\) |
0.486416 | + | 0.873727i | \(0.338304\pi\) | |||||||
\(860\) | 7.02748 | − | 30.7894i | 0.239635 | − | 1.04991i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.14088 | − | 40.0488i | −0.311340 | − | 1.36407i | ||||
\(863\) | −12.8507 | − | 22.2581i | −0.437444 | − | 0.757676i | 0.560047 | − | 0.828461i | \(-0.310783\pi\) |
−0.997492 | + | 0.0707849i | \(0.977450\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.92590 | + | 2.75328i | 0.303490 | + | 0.0936142i | ||||
\(866\) | −3.70393 | − | 49.4255i | −0.125865 | − | 1.67955i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.388641 | − | 0.290351i | 0.0131913 | − | 0.00985516i | ||||
\(869\) | 0.0413458 | + | 0.0518460i | 0.00140256 | + | 0.00175875i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −45.0455 | + | 6.78951i | −1.52631 | + | 0.230054i | ||||
\(872\) | −62.6818 | + | 42.7357i | −2.12267 | + | 1.44721i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.56767 | − | 4.60755i | 0.323631 | − | 0.155853i | ||||
\(875\) | 6.47889 | + | 54.6324i | 0.219026 | + | 1.84691i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 36.5998 | + | 24.9533i | 1.23589 | + | 0.842614i | 0.991882 | − | 0.127160i | \(-0.0405862\pi\) |
0.244005 | + | 0.969774i | \(0.421539\pi\) | |||||||
\(878\) | 0.610538 | + | 0.566497i | 0.0206047 | + | 0.0191183i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.61418 | − | 4.11287i | 0.0544140 | − | 0.138645i | ||||
\(881\) | 24.0701 | 0.810943 | 0.405471 | − | 0.914108i | \(-0.367107\pi\) | ||||
0.405471 | + | 0.914108i | \(0.367107\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.3146 | −0.616335 | −0.308167 | − | 0.951332i | \(-0.599716\pi\) | ||||
−0.308167 | + | 0.951332i | \(0.599716\pi\) | |||||||
\(884\) | −23.8340 | + | 60.7281i | −0.801625 | + | 2.04251i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 42.8851 | + | 39.7915i | 1.44075 | + | 1.33682i | ||||
\(887\) | −7.22206 | − | 4.92391i | −0.242493 | − | 0.165329i | 0.435975 | − | 0.899959i | \(-0.356404\pi\) |
−0.678468 | + | 0.734630i | \(0.737356\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −29.4920 | − | 46.3335i | −0.989131 | − | 1.55397i | ||||
\(890\) | −80.2560 | + | 38.6492i | −2.69019 | + | 1.29553i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −38.9353 | + | 26.5456i | −1.30365 | + | 0.888813i | ||||
\(893\) | −1.90383 | + | 0.286956i | −0.0637093 | + | 0.00960263i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.91355 | + | 7.41535i | 0.197668 | + | 0.247868i | ||||
\(896\) | 15.3356 | + | 13.0422i | 0.512325 | + | 0.435710i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.62030 | + | 61.6537i | 0.154182 | + | 2.05741i | ||||
\(899\) | −0.148662 | − | 0.0458561i | −0.00495815 | − | 0.00152939i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.60820 | − | 6.24959i | −0.120207 | − | 0.208204i | ||||
\(902\) | −0.825536 | − | 3.61691i | −0.0274873 | − | 0.120430i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.1599 | + | 44.5136i | −0.337914 | + | 1.48050i | ||||
\(905\) | −29.9890 | + | 9.25038i | −0.996868 | + | 0.307493i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.37900 | − | 11.1575i | −0.145402 | − | 0.370479i | 0.839555 | − | 0.543274i | \(-0.182816\pi\) |
−0.984958 | + | 0.172795i | \(0.944720\pi\) | |||||||
\(908\) | −57.0827 | + | 17.6077i | −1.89436 | + | 0.584332i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −125.411 | + | 5.42609i | −4.15734 | + | 0.179873i | ||||
\(911\) | 13.0297 | + | 57.0869i | 0.431693 | + | 1.89137i | 0.452832 | + | 0.891596i | \(0.350414\pi\) |
−0.0211384 | + | 0.999777i | \(0.506729\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.323143 | + | 0.559701i | −0.0106945 | + | 0.0185234i | ||||
\(914\) | −19.3771 | − | 5.97706i | −0.640939 | − | 0.197703i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.0947 | + | 22.6901i | −0.597866 | + | 0.749701i | ||||
\(917\) | 7.08401 | + | 15.9814i | 0.233934 | + | 0.527754i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −40.2197 | + | 37.3184i | −1.32673 | + | 1.23102i | −0.373912 | + | 0.927464i | \(0.621984\pi\) |
−0.952813 | + | 0.303557i | \(0.901826\pi\) | |||||||
\(920\) | 56.2369 | − | 8.47635i | 1.85408 | − | 0.279457i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 18.8498 | + | 2.84115i | 0.620786 | + | 0.0935685i | ||||
\(923\) | 57.7421 | − | 27.8071i | 1.90060 | − | 0.915283i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −81.8426 | − | 39.4133i | −2.69097 | − | 1.29590i | ||||
\(926\) | 47.0920 | + | 32.1068i | 1.54754 | + | 1.05509i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.16554 | + | 28.8971i | −0.0710874 | + | 0.948595i | ||||
\(929\) | −9.53961 | + | 24.3065i | −0.312984 | + | 0.797471i | 0.684659 | + | 0.728863i | \(0.259951\pi\) |
−0.997644 | + | 0.0686080i | \(0.978144\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.5379 | − | 4.75253i | −0.410912 | − | 0.155758i | ||||
\(932\) | −71.1136 | −2.32940 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 7.58096 | − | 101.161i | 0.248057 | − | 3.31009i | ||||
\(935\) | −1.19577 | − | 1.10952i | −0.0391060 | − | 0.0362851i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 52.5264 | + | 25.2954i | 1.71596 | + | 0.826365i | 0.990404 | + | 0.138206i | \(0.0441335\pi\) |
0.725560 | + | 0.688159i | \(0.241581\pi\) | |||||||
\(938\) | −55.9375 | − | 34.6939i | −1.82642 | − | 1.13280i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −17.9750 | − | 2.70929i | −0.586279 | − | 0.0883673i | ||||
\(941\) | 18.7874 | − | 12.8090i | 0.612453 | − | 0.417563i | −0.216975 | − | 0.976177i | \(-0.569619\pi\) |
0.829428 | + | 0.558614i | \(0.188667\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 16.3657 | − | 15.1851i | 0.532939 | − | 0.494495i | ||||
\(944\) | 33.0679 | + | 41.4658i | 1.07627 | + | 1.34960i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.389806 | + | 0.488801i | −0.0126737 | + | 0.0158923i | ||||
\(947\) | 1.90274 | + | 25.3902i | 0.0618306 | + | 0.825072i | 0.938786 | + | 0.344500i | \(0.111952\pi\) |
−0.876956 | + | 0.480571i | \(0.840429\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 32.1467 | − | 55.6796i | 1.04352 | − | 1.80744i | ||||
\(950\) | −25.4178 | − | 44.0249i | −0.824662 | − | 1.42836i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −47.1270 | + | 25.2605i | −1.52739 | + | 0.818698i | ||||
\(953\) | 1.63674 | − | 7.17102i | 0.0530191 | − | 0.232292i | −0.941475 | − | 0.337082i | \(-0.890560\pi\) |
0.994494 | + | 0.104790i | \(0.0334171\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.8420 | + | 27.6251i | 0.350840 | + | 0.893926i | ||||
\(956\) | 15.6442 | + | 39.8609i | 0.505971 | + | 1.28919i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.5310 | − | 54.9017i | 0.404857 | − | 1.77379i | ||||
\(959\) | −23.8662 | + | 32.7360i | −0.770681 | + | 1.05710i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.4992 | + | 26.8454i | 0.499975 | + | 0.865981i | ||||
\(962\) | 53.3925 | − | 92.4784i | 1.72144 | − | 2.98162i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.23374 | + | 56.4953i | 0.136359 | + | 1.81959i | ||||
\(965\) | −31.2404 | + | 39.1742i | −1.00566 | + | 1.26106i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −30.5855 | − | 38.3530i | −0.983564 | − | 1.23335i | −0.972378 | − | 0.233412i | \(-0.925011\pi\) |
−0.0111857 | − | 0.999937i | \(-0.503561\pi\) | |||||||
\(968\) | 54.2976 | − | 50.3808i | 1.74519 | − | 1.61930i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −41.2857 | + | 28.1481i | −1.32560 | + | 0.903781i | ||||
\(971\) | −13.7082 | − | 2.06618i | −0.439916 | − | 0.0663067i | −0.0746501 | − | 0.997210i | \(-0.523784\pi\) |
−0.365266 | + | 0.930903i | \(0.619022\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.6057 | − | 10.7303i | 0.340003 | − | 0.343997i | ||||
\(974\) | −22.1902 | − | 10.6862i | −0.711019 | − | 0.342409i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 40.4026 | + | 37.4881i | 1.29326 | + | 1.19997i | ||||
\(977\) | −0.782597 | + | 10.4430i | −0.0250375 | + | 0.334102i | 0.970593 | + | 0.240725i | \(0.0773852\pi\) |
−0.995631 | + | 0.0933770i | \(0.970234\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.23079 | 0.0393361 | ||||||||
\(980\) | −99.8909 | − | 77.7693i | −3.19090 | − | 2.48425i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −36.2799 | + | 92.4396i | −1.15774 | + | 2.94987i | ||||
\(983\) | 2.61102 | − | 34.8417i | 0.0832786 | − | 1.11128i | −0.786420 | − | 0.617693i | \(-0.788068\pi\) |
0.869698 | − | 0.493584i | \(-0.164313\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 32.3573 | + | 22.0609i | 1.03099 | + | 0.702918i | ||||
\(986\) | 27.2358 | + | 13.1161i | 0.867365 | + | 0.417701i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 37.5788 | − | 18.0970i | 1.19554 | − | 0.575743i | ||||
\(989\) | −3.72027 | − | 0.560741i | −0.118298 | − | 0.0178305i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −36.7994 | + | 5.54662i | −1.16897 | + | 0.176194i | −0.704705 | − | 0.709501i | \(-0.748921\pi\) |
−0.464268 | + | 0.885695i | \(0.653683\pi\) | |||||||
\(992\) | −0.214942 | + | 0.199437i | −0.00682442 | + | 0.00633213i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 89.5874 | + | 23.4450i | 2.84154 | + | 0.743631i | ||||
\(995\) | 56.2755 | − | 70.5673i | 1.78405 | − | 2.23713i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 17.8986 | + | 5.52100i | 0.566856 | + | 0.174852i | 0.564919 | − | 0.825146i | \(-0.308907\pi\) |
0.00193654 | + | 0.999998i | \(0.499384\pi\) | |||||||
\(998\) | −5.81640 | + | 10.0743i | −0.184115 | + | 0.318897i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bb.e.46.5 | 60 | ||
3.2 | odd | 2 | 147.2.m.b.46.1 | yes | 60 | ||
49.16 | even | 21 | inner | 441.2.bb.e.163.5 | 60 | ||
147.53 | odd | 42 | 7203.2.a.n.1.1 | 30 | |||
147.65 | odd | 42 | 147.2.m.b.16.1 | ✓ | 60 | ||
147.143 | even | 42 | 7203.2.a.m.1.1 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.m.b.16.1 | ✓ | 60 | 147.65 | odd | 42 | ||
147.2.m.b.46.1 | yes | 60 | 3.2 | odd | 2 | ||
441.2.bb.e.46.5 | 60 | 1.1 | even | 1 | trivial | ||
441.2.bb.e.163.5 | 60 | 49.16 | even | 21 | inner | ||
7203.2.a.m.1.1 | 30 | 147.143 | even | 42 | |||
7203.2.a.n.1.1 | 30 | 147.53 | odd | 42 |