Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(3,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.bj (of order \(12\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.19 | ||
Character | \(\chi\) | \(=\) | 260.3 |
Dual form | 260.2.bj.c.87.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0733540 | + | 1.41231i | −0.0518691 | + | 0.998654i | ||||
\(3\) | 2.99344 | + | 0.802089i | 1.72826 | + | 0.463086i | 0.979781 | − | 0.200071i | \(-0.0641174\pi\) |
0.748480 | + | 0.663158i | \(0.230784\pi\) | |||||||
\(4\) | −1.98924 | − | 0.207197i | −0.994619 | − | 0.103599i | ||||
\(5\) | −1.68089 | + | 1.47466i | −0.751715 | + | 0.659488i | ||||
\(6\) | −1.35238 | + | 4.16882i | −0.552106 | + | 1.70191i | ||||
\(7\) | −0.986808 | + | 0.264414i | −0.372978 | + | 0.0999392i | −0.440439 | − | 0.897783i | \(-0.645177\pi\) |
0.0674603 | + | 0.997722i | \(0.478510\pi\) | |||||||
\(8\) | 0.438545 | − | 2.79422i | 0.155049 | − | 0.987907i | ||||
\(9\) | 5.71924 | + | 3.30200i | 1.90641 | + | 1.10067i | ||||
\(10\) | −1.95938 | − | 2.48210i | −0.619610 | − | 0.784910i | ||||
\(11\) | −0.266960 | + | 0.154129i | −0.0804913 | + | 0.0464717i | −0.539705 | − | 0.841854i | \(-0.681464\pi\) |
0.459214 | + | 0.888326i | \(0.348131\pi\) | |||||||
\(12\) | −5.78847 | − | 2.21578i | −1.67099 | − | 0.639640i | ||||
\(13\) | −1.08800 | + | 3.43748i | −0.301758 | + | 0.953385i | ||||
\(14\) | −0.301049 | − | 1.41307i | −0.0804587 | − | 0.377660i | ||||
\(15\) | −6.21443 | + | 3.06608i | −1.60456 | + | 0.791660i | ||||
\(16\) | 3.91414 | + | 0.824329i | 0.978535 | + | 0.206082i | ||||
\(17\) | −0.295803 | − | 1.10395i | −0.0717427 | − | 0.267747i | 0.920732 | − | 0.390195i | \(-0.127592\pi\) |
−0.992475 | + | 0.122448i | \(0.960926\pi\) | |||||||
\(18\) | −5.08298 | + | 7.83512i | −1.19807 | + | 1.84676i | ||||
\(19\) | 3.40838 | − | 5.90348i | 0.781935 | − | 1.35435i | −0.148878 | − | 0.988856i | \(-0.547566\pi\) |
0.930813 | − | 0.365496i | \(-0.119101\pi\) | |||||||
\(20\) | 3.64923 | − | 2.58518i | 0.815992 | − | 0.578063i | ||||
\(21\) | −3.16603 | −0.690884 | ||||||||
\(22\) | −0.198096 | − | 0.388336i | −0.0422341 | − | 0.0827934i | ||||
\(23\) | 7.36317 | + | 1.97296i | 1.53533 | + | 0.411390i | 0.924753 | − | 0.380568i | \(-0.124272\pi\) |
0.610575 | + | 0.791958i | \(0.290938\pi\) | |||||||
\(24\) | 3.55397 | − | 8.01257i | 0.725451 | − | 1.63556i | ||||
\(25\) | 0.650749 | − | 4.95747i | 0.130150 | − | 0.991494i | ||||
\(26\) | −4.77497 | − | 1.78875i | −0.936449 | − | 0.350803i | ||||
\(27\) | 7.89763 | + | 7.89763i | 1.51990 | + | 1.51990i | ||||
\(28\) | 2.01778 | − | 0.321520i | 0.381325 | − | 0.0607615i | ||||
\(29\) | 1.81323 | − | 1.04687i | 0.336709 | − | 0.194399i | −0.322107 | − | 0.946703i | \(-0.604391\pi\) |
0.658816 | + | 0.752304i | \(0.271058\pi\) | |||||||
\(30\) | −3.87441 | − | 9.00161i | −0.707367 | − | 1.64346i | ||||
\(31\) | − | 5.52116i | − | 0.991629i | −0.868429 | − | 0.495814i | \(-0.834870\pi\) | ||
0.868429 | − | 0.495814i | \(-0.165130\pi\) | |||||||
\(32\) | −1.45133 | + | 5.46751i | −0.256560 | + | 0.966528i | ||||
\(33\) | −0.922752 | + | 0.247251i | −0.160630 | + | 0.0430408i | ||||
\(34\) | 1.58082 | − | 0.336786i | 0.271108 | − | 0.0577583i | ||||
\(35\) | 1.26879 | − | 1.89966i | 0.214464 | − | 0.321101i | ||||
\(36\) | −10.6928 | − | 7.75348i | −1.78213 | − | 1.29225i | ||||
\(37\) | −9.73761 | − | 2.60918i | −1.60085 | − | 0.428947i | −0.655553 | − | 0.755150i | \(-0.727564\pi\) |
−0.945300 | + | 0.326202i | \(0.894231\pi\) | |||||||
\(38\) | 8.08753 | + | 5.24673i | 1.31197 | + | 0.851131i | ||||
\(39\) | −6.01403 | + | 9.41719i | −0.963016 | + | 1.50796i | ||||
\(40\) | 3.38339 | + | 5.34347i | 0.534961 | + | 0.844877i | ||||
\(41\) | 0.175505 | + | 0.303984i | 0.0274093 | + | 0.0474744i | 0.879405 | − | 0.476075i | \(-0.157941\pi\) |
−0.851995 | + | 0.523549i | \(0.824608\pi\) | |||||||
\(42\) | 0.232241 | − | 4.47142i | 0.0358355 | − | 0.689954i | ||||
\(43\) | −1.46006 | − | 5.44901i | −0.222657 | − | 0.830966i | −0.983330 | − | 0.181831i | \(-0.941798\pi\) |
0.760673 | − | 0.649135i | \(-0.224869\pi\) | |||||||
\(44\) | 0.562981 | − | 0.251286i | 0.0848726 | − | 0.0378829i | ||||
\(45\) | −14.4827 | + | 2.88365i | −2.15896 | + | 0.429869i | ||||
\(46\) | −3.32654 | + | 10.2544i | −0.490472 | + | 1.51192i | ||||
\(47\) | 3.04651 | + | 3.04651i | 0.444380 | + | 0.444380i | 0.893481 | − | 0.449101i | \(-0.148256\pi\) |
−0.449101 | + | 0.893481i | \(0.648256\pi\) | |||||||
\(48\) | 11.0555 | + | 5.60706i | 1.59573 | + | 0.809310i | ||||
\(49\) | −5.15830 | + | 2.97815i | −0.736900 | + | 0.425450i | ||||
\(50\) | 6.95375 | + | 1.28271i | 0.983409 | + | 0.181403i | ||||
\(51\) | − | 3.54186i | − | 0.495960i | ||||||
\(52\) | 2.87653 | − | 6.61253i | 0.398903 | − | 0.916993i | ||||
\(53\) | −0.101245 | − | 0.101245i | −0.0139071 | − | 0.0139071i | 0.700119 | − | 0.714026i | \(-0.253130\pi\) |
−0.714026 | + | 0.700119i | \(0.753130\pi\) | |||||||
\(54\) | −11.7332 | + | 10.5746i | −1.59669 | + | 1.43902i | ||||
\(55\) | 0.221440 | − | 0.652748i | 0.0298590 | − | 0.0880166i | ||||
\(56\) | 0.306073 | + | 2.87332i | 0.0409007 | + | 0.383963i | ||||
\(57\) | 14.9379 | − | 14.9379i | 1.97857 | − | 1.97857i | ||||
\(58\) | 1.34550 | + | 2.63764i | 0.176672 | + | 0.346339i | ||||
\(59\) | −0.416548 | + | 0.721482i | −0.0542299 | + | 0.0939290i | −0.891866 | − | 0.452300i | \(-0.850604\pi\) |
0.837636 | + | 0.546229i | \(0.183937\pi\) | |||||||
\(60\) | 12.9973 | − | 4.81156i | 1.67794 | − | 0.621170i | ||||
\(61\) | 3.06320 | − | 5.30563i | 0.392203 | − | 0.679316i | −0.600537 | − | 0.799597i | \(-0.705046\pi\) |
0.992740 | + | 0.120281i | \(0.0383797\pi\) | |||||||
\(62\) | 7.79758 | + | 0.404999i | 0.990294 | + | 0.0514349i | ||||
\(63\) | −6.51689 | − | 1.74619i | −0.821050 | − | 0.220000i | ||||
\(64\) | −7.61536 | − | 2.45078i | −0.951920 | − | 0.306348i | ||||
\(65\) | −3.24031 | − | 7.38244i | −0.401910 | − | 0.915679i | ||||
\(66\) | −0.281507 | − | 1.32135i | −0.0346511 | − | 0.162647i | ||||
\(67\) | −0.145460 | + | 0.542865i | −0.0177708 | + | 0.0663215i | −0.974242 | − | 0.225506i | \(-0.927597\pi\) |
0.956471 | + | 0.291827i | \(0.0942632\pi\) | |||||||
\(68\) | 0.359687 | + | 2.25731i | 0.0436184 | + | 0.273739i | ||||
\(69\) | 20.4587 | + | 11.8118i | 2.46294 | + | 1.42198i | ||||
\(70\) | 2.58983 | + | 1.93127i | 0.309544 | + | 0.230831i | ||||
\(71\) | 8.04048 | + | 4.64217i | 0.954229 | + | 0.550924i | 0.894392 | − | 0.447284i | \(-0.147609\pi\) |
0.0598370 | + | 0.998208i | \(0.480942\pi\) | |||||||
\(72\) | 11.7347 | − | 14.5327i | 1.38294 | − | 1.71270i | ||||
\(73\) | 5.25213 | + | 5.25213i | 0.614715 | + | 0.614715i | 0.944171 | − | 0.329456i | \(-0.106865\pi\) |
−0.329456 | + | 0.944171i | \(0.606865\pi\) | |||||||
\(74\) | 4.39927 | − | 13.5611i | 0.511404 | − | 1.57645i | ||||
\(75\) | 5.92431 | − | 14.3179i | 0.684080 | − | 1.65329i | ||||
\(76\) | −8.00326 | + | 11.0372i | −0.918036 | + | 1.26606i | ||||
\(77\) | 0.222684 | − | 0.222684i | 0.0253772 | − | 0.0253772i | ||||
\(78\) | −12.8588 | − | 9.18446i | −1.45598 | − | 1.03994i | ||||
\(79\) | −12.9404 | −1.45590 | −0.727952 | − | 0.685628i | \(-0.759528\pi\) | ||||
−0.727952 | + | 0.685628i | \(0.759528\pi\) | |||||||
\(80\) | −7.79482 | + | 4.38643i | −0.871488 | + | 0.490417i | ||||
\(81\) | 7.40044 | + | 12.8179i | 0.822271 | + | 1.42422i | ||||
\(82\) | −0.442194 | + | 0.225570i | −0.0488321 | + | 0.0249100i | ||||
\(83\) | −0.855219 | + | 0.855219i | −0.0938725 | + | 0.0938725i | −0.752484 | − | 0.658611i | \(-0.771144\pi\) |
0.658611 | + | 0.752484i | \(0.271144\pi\) | |||||||
\(84\) | 6.29799 | + | 0.655992i | 0.687167 | + | 0.0715746i | ||||
\(85\) | 2.12516 | + | 1.41940i | 0.230506 | + | 0.153956i | ||||
\(86\) | 7.80279 | − | 1.66235i | 0.841397 | − | 0.179256i | ||||
\(87\) | 6.26747 | − | 1.67936i | 0.671944 | − | 0.180047i | ||||
\(88\) | 0.313597 | + | 0.813537i | 0.0334296 | + | 0.0867233i | ||||
\(89\) | −10.8996 | + | 6.29287i | −1.15535 | + | 0.667042i | −0.950186 | − | 0.311685i | \(-0.899107\pi\) |
−0.205166 | + | 0.978727i | \(0.565773\pi\) | |||||||
\(90\) | −3.01024 | − | 20.6656i | −0.317307 | − | 2.17835i | ||||
\(91\) | 0.164732 | − | 3.67981i | 0.0172686 | − | 0.385749i | ||||
\(92\) | −14.2383 | − | 5.45031i | −1.48445 | − | 0.568234i | ||||
\(93\) | 4.42846 | − | 16.5272i | 0.459210 | − | 1.71379i | ||||
\(94\) | −4.52609 | + | 4.07915i | −0.466831 | + | 0.420732i | ||||
\(95\) | 2.97654 | + | 14.9493i | 0.305387 | + | 1.53376i | ||||
\(96\) | −8.72988 | + | 15.2025i | −0.890989 | + | 1.55160i | ||||
\(97\) | 1.14860 | + | 4.28664i | 0.116623 | + | 0.435243i | 0.999403 | − | 0.0345434i | \(-0.0109977\pi\) |
−0.882780 | + | 0.469786i | \(0.844331\pi\) | |||||||
\(98\) | −3.82769 | − | 7.50358i | −0.386655 | − | 0.757976i | ||||
\(99\) | −2.03574 | −0.204600 | ||||||||
\(100\) | −2.32167 | + | 9.72676i | −0.232167 | + | 0.972676i | ||||
\(101\) | −6.58548 | − | 11.4064i | −0.655280 | − | 1.13498i | −0.981823 | − | 0.189796i | \(-0.939217\pi\) |
0.326543 | − | 0.945182i | \(-0.394116\pi\) | |||||||
\(102\) | 5.00221 | + | 0.259810i | 0.495293 | + | 0.0257250i | ||||
\(103\) | 1.66528 | − | 1.66528i | 0.164085 | − | 0.164085i | −0.620289 | − | 0.784374i | \(-0.712985\pi\) |
0.784374 | + | 0.620289i | \(0.212985\pi\) | |||||||
\(104\) | 9.12794 | + | 4.54761i | 0.895068 | + | 0.445930i | ||||
\(105\) | 5.32173 | − | 4.66882i | 0.519348 | − | 0.455630i | ||||
\(106\) | 0.150416 | − | 0.135563i | 0.0146097 | − | 0.0131670i | ||||
\(107\) | 0.742711 | − | 2.77183i | 0.0718006 | − | 0.267963i | −0.920688 | − | 0.390299i | \(-0.872372\pi\) |
0.992489 | + | 0.122335i | \(0.0390384\pi\) | |||||||
\(108\) | −14.0739 | − | 17.3466i | −1.35426 | − | 1.66918i | ||||
\(109\) | − | 10.5037i | − | 1.00607i | −0.864265 | − | 0.503037i | \(-0.832216\pi\) | ||
0.864265 | − | 0.503037i | \(-0.167784\pi\) | |||||||
\(110\) | 0.905639 | + | 0.360624i | 0.0863493 | + | 0.0343841i | ||||
\(111\) | −27.0561 | − | 15.6208i | −2.56805 | − | 1.48267i | ||||
\(112\) | −4.08047 | + | 0.221501i | −0.385568 | + | 0.0209298i | ||||
\(113\) | 7.62410 | − | 2.04287i | 0.717215 | − | 0.192177i | 0.118286 | − | 0.992980i | \(-0.462260\pi\) |
0.598929 | + | 0.800802i | \(0.295593\pi\) | |||||||
\(114\) | 20.0012 | + | 22.1927i | 1.87328 | + | 2.07853i | ||||
\(115\) | −15.2861 | + | 7.54187i | −1.42544 | + | 0.703283i | ||||
\(116\) | −3.82386 | + | 1.70678i | −0.355036 | + | 0.158470i | ||||
\(117\) | −17.5731 | + | 16.0672i | −1.62463 | + | 1.48541i | ||||
\(118\) | −0.988401 | − | 0.641219i | −0.0909897 | − | 0.0590290i | ||||
\(119\) | 0.583801 | + | 1.01117i | 0.0535169 | + | 0.0926940i | ||||
\(120\) | 5.84201 | + | 18.7091i | 0.533301 | + | 1.70790i | ||||
\(121\) | −5.45249 | + | 9.44399i | −0.495681 | + | 0.858544i | ||||
\(122\) | 7.26849 | + | 4.71538i | 0.658058 | + | 0.426911i | ||||
\(123\) | 0.281542 | + | 1.05073i | 0.0253858 | + | 0.0947410i | ||||
\(124\) | −1.14397 | + | 10.9829i | −0.102731 | + | 0.986293i | ||||
\(125\) | 6.21676 | + | 9.29257i | 0.556044 | + | 0.831153i | ||||
\(126\) | 2.94421 | − | 9.07577i | 0.262291 | − | 0.808534i | ||||
\(127\) | −0.0883922 | + | 0.329884i | −0.00784354 | + | 0.0292725i | −0.969737 | − | 0.244153i | \(-0.921490\pi\) |
0.961893 | + | 0.273426i | \(0.0881567\pi\) | |||||||
\(128\) | 4.01988 | − | 10.5755i | 0.355311 | − | 0.934748i | ||||
\(129\) | − | 17.4824i | − | 1.53924i | ||||||
\(130\) | 10.6640 | − | 4.03478i | 0.935293 | − | 0.353874i | ||||
\(131\) | 15.3787i | 1.34364i | 0.740713 | + | 0.671821i | \(0.234488\pi\) | ||||
−0.740713 | + | 0.671821i | \(0.765512\pi\) | |||||||
\(132\) | 1.88680 | − | 0.300649i | 0.164225 | − | 0.0261681i | ||||
\(133\) | −1.80245 | + | 6.72682i | −0.156292 | + | 0.583290i | ||||
\(134\) | −0.756023 | − | 0.245256i | −0.0653104 | − | 0.0211869i | ||||
\(135\) | −24.9213 | − | 1.62868i | −2.14489 | − | 0.140175i | ||||
\(136\) | −3.21441 | + | 0.342406i | −0.275633 | + | 0.0293611i | ||||
\(137\) | 2.17347 | + | 8.11149i | 0.185692 | + | 0.693011i | 0.994481 | + | 0.104913i | \(0.0334564\pi\) |
−0.808790 | + | 0.588098i | \(0.799877\pi\) | |||||||
\(138\) | −18.1827 | + | 28.0276i | −1.54781 | + | 2.38587i | ||||
\(139\) | 0.934226 | − | 1.61813i | 0.0792400 | − | 0.137248i | −0.823682 | − | 0.567052i | \(-0.808084\pi\) |
0.902922 | + | 0.429804i | \(0.141417\pi\) | |||||||
\(140\) | −2.91753 | + | 3.51598i | −0.246576 | + | 0.297155i | ||||
\(141\) | 6.67597 | + | 11.5631i | 0.562218 | + | 0.973790i | ||||
\(142\) | −7.14599 | + | 11.0151i | −0.599678 | + | 0.924369i | ||||
\(143\) | −0.239363 | − | 1.08536i | −0.0200165 | − | 0.0907624i | ||||
\(144\) | 19.6640 | + | 17.6390i | 1.63866 | + | 1.46992i | ||||
\(145\) | −1.50406 | + | 4.43357i | −0.124905 | + | 0.368188i | ||||
\(146\) | −7.80290 | + | 7.03237i | −0.645772 | + | 0.582003i | ||||
\(147\) | −17.8298 | + | 4.77748i | −1.47058 | + | 0.394040i | ||||
\(148\) | 18.8298 | + | 7.20789i | 1.54780 | + | 0.592485i | ||||
\(149\) | −12.9747 | − | 7.49092i | −1.06293 | − | 0.613680i | −0.136685 | − | 0.990615i | \(-0.543645\pi\) |
−0.926240 | + | 0.376934i | \(0.876978\pi\) | |||||||
\(150\) | 19.7868 | + | 9.41724i | 1.61558 | + | 0.768914i | ||||
\(151\) | − | 12.9058i | − | 1.05026i | −0.851021 | − | 0.525132i | \(-0.824016\pi\) | ||
0.851021 | − | 0.525132i | \(-0.175984\pi\) | |||||||
\(152\) | −15.0009 | − | 12.1127i | −1.21673 | − | 0.982470i | ||||
\(153\) | 1.95348 | − | 7.29049i | 0.157930 | − | 0.589402i | ||||
\(154\) | 0.298164 | + | 0.330833i | 0.0240267 | + | 0.0266593i | ||||
\(155\) | 8.14183 | + | 9.28043i | 0.653968 | + | 0.745422i | ||||
\(156\) | 13.9146 | − | 17.4870i | 1.11406 | − | 1.40008i | ||||
\(157\) | −1.88897 | + | 1.88897i | −0.150756 | + | 0.150756i | −0.778456 | − | 0.627700i | \(-0.783997\pi\) |
0.627700 | + | 0.778456i | \(0.283997\pi\) | |||||||
\(158\) | 0.949227 | − | 18.2758i | 0.0755164 | − | 1.45395i | ||||
\(159\) | −0.221863 | − | 0.384278i | −0.0175949 | − | 0.0304753i | ||||
\(160\) | −5.62321 | − | 11.3305i | −0.444554 | − | 0.895752i | ||||
\(161\) | −7.78772 | −0.613758 | ||||||||
\(162\) | −18.6458 | + | 9.51147i | −1.46495 | + | 0.747292i | ||||
\(163\) | 1.43270 | + | 5.34692i | 0.112218 | + | 0.418803i | 0.999064 | − | 0.0432625i | \(-0.0137752\pi\) |
−0.886846 | + | 0.462065i | \(0.847109\pi\) | |||||||
\(164\) | −0.286137 | − | 0.641061i | −0.0223436 | − | 0.0500585i | ||||
\(165\) | 1.18643 | − | 1.77635i | 0.0923633 | − | 0.138288i | ||||
\(166\) | −1.14510 | − | 1.27057i | −0.0888771 | − | 0.0986153i | ||||
\(167\) | 2.82915 | − | 10.5585i | 0.218926 | − | 0.817043i | −0.765821 | − | 0.643053i | \(-0.777667\pi\) |
0.984747 | − | 0.173990i | \(-0.0556660\pi\) | |||||||
\(168\) | −1.38845 | + | 8.84659i | −0.107121 | + | 0.682529i | ||||
\(169\) | −10.6325 | − | 7.47997i | −0.817884 | − | 0.575382i | ||||
\(170\) | −2.16053 | + | 2.89727i | −0.165705 | + | 0.222210i | ||||
\(171\) | 38.9866 | − | 22.5089i | 2.98138 | − | 1.72130i | ||||
\(172\) | 1.77538 | + | 11.1419i | 0.135372 | + | 0.849562i | ||||
\(173\) | −15.4667 | + | 4.14429i | −1.17591 | + | 0.315084i | −0.793303 | − | 0.608827i | \(-0.791640\pi\) |
−0.382607 | + | 0.923911i | \(0.624974\pi\) | |||||||
\(174\) | 1.91204 | + | 8.97480i | 0.144951 | + | 0.680378i | ||||
\(175\) | 0.668662 | + | 5.06414i | 0.0505461 | + | 0.382813i | ||||
\(176\) | −1.17197 | + | 0.383221i | −0.0883405 | + | 0.0288863i | ||||
\(177\) | −1.82560 | + | 1.82560i | −0.137221 | + | 0.137221i | ||||
\(178\) | −8.08795 | − | 15.8552i | −0.606217 | − | 1.18839i | ||||
\(179\) | −11.3983 | − | 19.7424i | −0.851947 | − | 1.47562i | −0.879448 | − | 0.475994i | \(-0.842088\pi\) |
0.0275010 | − | 0.999622i | \(-0.491245\pi\) | |||||||
\(180\) | 29.4071 | − | 2.73549i | 2.19187 | − | 0.203891i | ||||
\(181\) | −15.6134 | −1.16054 | −0.580268 | − | 0.814426i | \(-0.697052\pi\) | ||||
−0.580268 | + | 0.814426i | \(0.697052\pi\) | |||||||
\(182\) | 5.18495 | + | 0.502581i | 0.384334 | + | 0.0372538i | ||||
\(183\) | 13.4251 | − | 13.4251i | 0.992411 | − | 0.992411i | ||||
\(184\) | 8.74196 | − | 19.7091i | 0.644466 | − | 1.45298i | ||||
\(185\) | 20.2155 | − | 9.97393i | 1.48627 | − | 0.733298i | ||||
\(186\) | 23.0167 | + | 7.46669i | 1.68767 | + | 0.547484i | ||||
\(187\) | 0.249118 | + | 0.249118i | 0.0182173 | + | 0.0182173i | ||||
\(188\) | −5.42901 | − | 6.69147i | −0.395951 | − | 0.488026i | ||||
\(189\) | −9.88169 | − | 5.70520i | −0.718787 | − | 0.414992i | ||||
\(190\) | −21.3313 | + | 3.10721i | −1.54754 | + | 0.225421i | ||||
\(191\) | 3.76244 | + | 2.17224i | 0.272240 | + | 0.157178i | 0.629905 | − | 0.776672i | \(-0.283094\pi\) |
−0.357665 | + | 0.933850i | \(0.616427\pi\) | |||||||
\(192\) | −20.8303 | − | 13.4445i | −1.50330 | − | 0.970270i | ||||
\(193\) | −2.20419 | + | 8.22613i | −0.158661 | + | 0.592130i | 0.840103 | + | 0.542426i | \(0.182494\pi\) |
−0.998764 | + | 0.0497034i | \(0.984172\pi\) | |||||||
\(194\) | −6.13832 | + | 1.30774i | −0.440706 | + | 0.0938903i | ||||
\(195\) | −3.77827 | − | 24.6979i | −0.270568 | − | 1.76865i | ||||
\(196\) | 10.8782 | − | 4.85546i | 0.777011 | − | 0.346819i | ||||
\(197\) | 22.2256 | + | 5.95532i | 1.58351 | + | 0.424299i | 0.940009 | − | 0.341149i | \(-0.110816\pi\) |
0.643497 | + | 0.765448i | \(0.277483\pi\) | |||||||
\(198\) | 0.149330 | − | 2.87510i | 0.0106124 | − | 0.204324i | ||||
\(199\) | 1.11479 | − | 1.93088i | 0.0790256 | − | 0.136876i | −0.823804 | − | 0.566874i | \(-0.808152\pi\) |
0.902830 | + | 0.429998i | \(0.141486\pi\) | |||||||
\(200\) | −13.5669 | − | 3.99241i | −0.959324 | − | 0.282306i | ||||
\(201\) | −0.870851 | + | 1.50836i | −0.0614251 | + | 0.106391i | ||||
\(202\) | 16.5924 | − | 8.46404i | 1.16744 | − | 0.595528i | ||||
\(203\) | −1.51250 | + | 1.51250i | −0.106157 | + | 0.106157i | ||||
\(204\) | −0.733864 | + | 7.04561i | −0.0513807 | + | 0.493292i | ||||
\(205\) | −0.743278 | − | 0.252152i | −0.0519128 | − | 0.0176110i | ||||
\(206\) | 2.22974 | + | 2.47405i | 0.155353 | + | 0.172375i | ||||
\(207\) | 35.5970 | + | 35.5970i | 2.47416 | + | 2.47416i | ||||
\(208\) | −7.09221 | + | 12.5579i | −0.491756 | + | 0.870733i | ||||
\(209\) | 2.10132i | 0.145351i | ||||||||
\(210\) | 6.20345 | + | 7.85841i | 0.428079 | + | 0.542282i | ||||
\(211\) | −20.6180 | + | 11.9038i | −1.41940 | + | 0.819492i | −0.996246 | − | 0.0865644i | \(-0.972411\pi\) |
−0.423156 | + | 0.906057i | \(0.639078\pi\) | |||||||
\(212\) | 0.180423 | + | 0.222378i | 0.0123915 | + | 0.0152730i | ||||
\(213\) | 20.3452 | + | 20.3452i | 1.39403 | + | 1.39403i | ||||
\(214\) | 3.86021 | + | 1.25226i | 0.263878 | + | 0.0856029i | ||||
\(215\) | 10.4896 | + | 7.00607i | 0.715387 | + | 0.477810i | ||||
\(216\) | 25.5312 | − | 18.6043i | 1.73718 | − | 1.26586i | ||||
\(217\) | 1.45987 | + | 5.44832i | 0.0991026 | + | 0.369856i | ||||
\(218\) | 14.8345 | + | 0.770490i | 1.00472 | + | 0.0521842i | ||||
\(219\) | 11.5092 | + | 19.9346i | 0.777722 | + | 1.34705i | ||||
\(220\) | −0.575744 | + | 1.25259i | −0.0388167 | + | 0.0844496i | ||||
\(221\) | 4.11664 | + | 0.184287i | 0.276915 | + | 0.0123965i | ||||
\(222\) | 24.0462 | − | 37.0658i | 1.61387 | − | 2.48769i | ||||
\(223\) | −6.84960 | − | 1.83535i | −0.458683 | − | 0.122904i | 0.0220763 | − | 0.999756i | \(-0.492972\pi\) |
−0.480760 | + | 0.876852i | \(0.659639\pi\) | |||||||
\(224\) | −0.0135090 | − | 5.77913i | −0.000902610 | − | 0.386135i | ||||
\(225\) | 20.0914 | − | 26.2042i | 1.33943 | − | 1.74695i | ||||
\(226\) | 2.32591 | + | 10.9174i | 0.154717 | + | 0.726217i | ||||
\(227\) | −22.8612 | + | 6.12565i | −1.51735 | + | 0.406573i | −0.918869 | − | 0.394562i | \(-0.870896\pi\) |
−0.598483 | + | 0.801135i | \(0.704230\pi\) | |||||||
\(228\) | −32.8101 | + | 26.6199i | −2.17290 | + | 1.76295i | ||||
\(229\) | 12.5168i | 0.827131i | 0.910474 | + | 0.413566i | \(0.135717\pi\) | ||||
−0.910474 | + | 0.413566i | \(0.864283\pi\) | |||||||
\(230\) | −9.53017 | − | 22.1419i | −0.628401 | − | 1.46000i | ||||
\(231\) | 0.845202 | − | 0.487978i | 0.0556102 | − | 0.0321066i | ||||
\(232\) | −2.13000 | − | 5.52567i | −0.139842 | − | 0.362778i | ||||
\(233\) | −6.39807 | − | 6.39807i | −0.419151 | − | 0.419151i | 0.465760 | − | 0.884911i | \(-0.345781\pi\) |
−0.884911 | + | 0.465760i | \(0.845781\pi\) | |||||||
\(234\) | −21.4027 | − | 25.9973i | −1.39914 | − | 1.69949i | ||||
\(235\) | −9.61341 | − | 0.628264i | −0.627110 | − | 0.0409834i | ||||
\(236\) | 0.978103 | − | 1.34889i | 0.0636691 | − | 0.0878055i | ||||
\(237\) | −38.7362 | − | 10.3793i | −2.51618 | − | 0.674209i | ||||
\(238\) | −1.47091 | + | 0.750334i | −0.0953451 | + | 0.0486369i | ||||
\(239\) | 10.3506 | 0.669523 | 0.334761 | − | 0.942303i | \(-0.391344\pi\) | ||||
0.334761 | + | 0.942303i | \(0.391344\pi\) | |||||||
\(240\) | −26.8516 | + | 6.87835i | −1.73326 | + | 0.443995i | ||||
\(241\) | 13.0855 | − | 22.6647i | 0.842908 | − | 1.45996i | −0.0445170 | − | 0.999009i | \(-0.514175\pi\) |
0.887425 | − | 0.460951i | \(-0.152492\pi\) | |||||||
\(242\) | −12.9379 | − | 8.39336i | −0.831678 | − | 0.539545i | ||||
\(243\) | 3.19942 | + | 11.9404i | 0.205243 | + | 0.765977i | ||||
\(244\) | −7.19276 | + | 9.91947i | −0.460469 | + | 0.635029i | ||||
\(245\) | 4.27876 | − | 12.6127i | 0.273360 | − | 0.805794i | ||||
\(246\) | −1.50461 | + | 0.320549i | −0.0959302 | + | 0.0204375i | ||||
\(247\) | 16.5848 | + | 18.1392i | 1.05526 | + | 1.15417i | ||||
\(248\) | −15.4273 | − | 2.42127i | −0.979637 | − | 0.153751i | ||||
\(249\) | −3.24601 | + | 1.87408i | −0.205707 | + | 0.118765i | ||||
\(250\) | −13.5800 | + | 8.09834i | −0.858876 | + | 0.512184i | ||||
\(251\) | 16.1498 | + | 9.32411i | 1.01937 | + | 0.588533i | 0.913921 | − | 0.405892i | \(-0.133039\pi\) |
0.105447 | + | 0.994425i | \(0.466373\pi\) | |||||||
\(252\) | 12.6018 | + | 4.82388i | 0.793841 | + | 0.303876i | ||||
\(253\) | −2.26976 | + | 0.608180i | −0.142699 | + | 0.0382360i | ||||
\(254\) | −0.459415 | − | 0.149035i | −0.0288262 | − | 0.00935132i | ||||
\(255\) | 5.22305 | + | 5.95347i | 0.327080 | + | 0.372821i | ||||
\(256\) | 14.6410 | + | 6.45307i | 0.915060 | + | 0.403317i | ||||
\(257\) | 14.1723 | + | 3.79747i | 0.884047 | + | 0.236880i | 0.672152 | − | 0.740413i | \(-0.265370\pi\) |
0.211895 | + | 0.977293i | \(0.432037\pi\) | |||||||
\(258\) | 24.6905 | + | 1.28240i | 1.53716 | + | 0.0798388i | ||||
\(259\) | 10.2991 | 0.639952 | ||||||||
\(260\) | 4.91612 | + | 15.3568i | 0.304885 | + | 0.952389i | ||||
\(261\) | 13.8271 | 0.855874 | ||||||||
\(262\) | −21.7195 | − | 1.12809i | −1.34183 | − | 0.0696935i | ||||
\(263\) | 5.95354 | + | 1.59525i | 0.367111 | + | 0.0983670i | 0.437658 | − | 0.899141i | \(-0.355808\pi\) |
−0.0705475 | + | 0.997508i | \(0.522475\pi\) | |||||||
\(264\) | 0.286205 | + | 2.68680i | 0.0176147 | + | 0.165361i | ||||
\(265\) | 0.319484 | + | 0.0208792i | 0.0196257 | + | 0.00128260i | ||||
\(266\) | −9.36814 | − | 3.03905i | −0.574398 | − | 0.186336i | ||||
\(267\) | −37.6746 | + | 10.0949i | −2.30565 | + | 0.617796i | ||||
\(268\) | 0.401835 | − | 1.04975i | 0.0245460 | − | 0.0641236i | ||||
\(269\) | −14.8983 | − | 8.60154i | −0.908366 | − | 0.524445i | −0.0284608 | − | 0.999595i | \(-0.509061\pi\) |
−0.879905 | + | 0.475150i | \(0.842394\pi\) | |||||||
\(270\) | 4.12828 | − | 35.0772i | 0.251239 | − | 2.13473i | ||||
\(271\) | 12.9027 | − | 7.44936i | 0.783782 | − | 0.452517i | −0.0539871 | − | 0.998542i | \(-0.517193\pi\) |
0.837769 | + | 0.546025i | \(0.183860\pi\) | |||||||
\(272\) | −0.247795 | − | 4.56485i | −0.0150248 | − | 0.276785i | ||||
\(273\) | 3.44465 | − | 10.8832i | 0.208480 | − | 0.658679i | ||||
\(274\) | −11.6154 | + | 2.47460i | −0.701710 | + | 0.149496i | ||||
\(275\) | 0.590367 | + | 1.42374i | 0.0356005 | + | 0.0858550i | ||||
\(276\) | −38.2499 | − | 27.7355i | −2.30237 | − | 1.66948i | ||||
\(277\) | 0.670301 | + | 2.50160i | 0.0402745 | + | 0.150306i | 0.983135 | − | 0.182881i | \(-0.0585424\pi\) |
−0.942861 | + | 0.333188i | \(0.891876\pi\) | |||||||
\(278\) | 2.21677 | + | 1.43811i | 0.132953 | + | 0.0862523i | ||||
\(279\) | 18.2309 | − | 31.5768i | 1.09145 | − | 1.89045i | ||||
\(280\) | −4.75164 | − | 4.37836i | −0.283965 | − | 0.261657i | ||||
\(281\) | 11.1979 | 0.668008 | 0.334004 | − | 0.942572i | \(-0.391600\pi\) | ||||
0.334004 | + | 0.942572i | \(0.391600\pi\) | |||||||
\(282\) | −16.8204 | + | 8.58034i | −1.00164 | + | 0.510952i | ||||
\(283\) | 23.0168 | + | 6.16732i | 1.36820 | + | 0.366609i | 0.866822 | − | 0.498617i | \(-0.166159\pi\) |
0.501382 | + | 0.865226i | \(0.332825\pi\) | |||||||
\(284\) | −15.0326 | − | 10.9003i | −0.892020 | − | 0.646817i | ||||
\(285\) | −3.08055 | + | 47.1371i | −0.182476 | + | 2.79216i | ||||
\(286\) | 1.55042 | − | 0.258439i | 0.0916784 | − | 0.0152818i | ||||
\(287\) | −0.253568 | − | 0.253568i | −0.0149676 | − | 0.0149676i | ||||
\(288\) | −26.3542 | + | 26.4777i | −1.55294 | + | 1.56021i | ||||
\(289\) | 13.5912 | − | 7.84690i | 0.799484 | − | 0.461582i | ||||
\(290\) | −6.15125 | − | 2.44941i | −0.361214 | − | 0.143834i | ||||
\(291\) | 13.7531i | 0.806219i | ||||||||
\(292\) | −9.35951 | − | 11.5360i | −0.547724 | − | 0.675091i | ||||
\(293\) | 9.37058 | − | 2.51084i | 0.547435 | − | 0.146685i | 0.0255075 | − | 0.999675i | \(-0.491880\pi\) |
0.521927 | + | 0.852990i | \(0.325213\pi\) | |||||||
\(294\) | −5.43939 | − | 25.5316i | −0.317232 | − | 1.48904i | ||||
\(295\) | −0.363773 | − | 1.82700i | −0.0211797 | − | 0.106372i | ||||
\(296\) | −11.5610 | + | 26.0648i | −0.671970 | + | 1.51499i | ||||
\(297\) | −3.32560 | − | 0.891093i | −0.192971 | − | 0.0517064i | ||||
\(298\) | 11.5312 | − | 17.7747i | 0.667987 | − | 1.02966i | ||||
\(299\) | −14.7932 | + | 23.1642i | −0.855510 | + | 1.33962i | ||||
\(300\) | −14.7515 | + | 27.2542i | −0.851678 | + | 1.57352i | ||||
\(301\) | 2.88159 | + | 4.99107i | 0.166092 | + | 0.287680i | ||||
\(302\) | 18.2271 | + | 0.946695i | 1.04885 | + | 0.0544762i | ||||
\(303\) | −10.5643 | − | 39.4265i | −0.606902 | − | 2.26499i | ||||
\(304\) | 18.2073 | − | 20.2974i | 1.04426 | − | 1.16414i | ||||
\(305\) | 2.67511 | + | 13.4353i | 0.153176 | + | 0.769305i | ||||
\(306\) | 10.1531 | + | 3.29371i | 0.580416 | + | 0.188289i | ||||
\(307\) | 0.190814 | + | 0.190814i | 0.0108903 | + | 0.0108903i | 0.712531 | − | 0.701641i | \(-0.247549\pi\) |
−0.701641 | + | 0.712531i | \(0.747549\pi\) | |||||||
\(308\) | −0.489111 | + | 0.396832i | −0.0278697 | + | 0.0226116i | ||||
\(309\) | 6.32061 | − | 3.64921i | 0.359567 | − | 0.207596i | ||||
\(310\) | −13.7041 | + | 10.8180i | −0.778339 | + | 0.614423i | ||||
\(311\) | 7.23938i | 0.410508i | 0.978709 | + | 0.205254i | \(0.0658020\pi\) | ||||
−0.978709 | + | 0.205254i | \(0.934198\pi\) | |||||||
\(312\) | 23.6763 | + | 20.9344i | 1.34041 | + | 1.18518i | ||||
\(313\) | 10.2779 | + | 10.2779i | 0.580943 | + | 0.580943i | 0.935162 | − | 0.354219i | \(-0.115253\pi\) |
−0.354219 | + | 0.935162i | \(0.615253\pi\) | |||||||
\(314\) | −2.52925 | − | 2.80637i | −0.142734 | − | 0.158373i | ||||
\(315\) | 13.5292 | − | 6.67505i | 0.762283 | − | 0.376096i | ||||
\(316\) | 25.7415 | + | 2.68121i | 1.44807 | + | 0.150830i | ||||
\(317\) | −9.13313 | + | 9.13313i | −0.512967 | + | 0.512967i | −0.915434 | − | 0.402467i | \(-0.868153\pi\) |
0.402467 | + | 0.915434i | \(0.368153\pi\) | |||||||
\(318\) | 0.558995 | − | 0.285151i | 0.0313469 | − | 0.0159905i | ||||
\(319\) | −0.322706 | + | 0.558944i | −0.0180681 | + | 0.0312948i | ||||
\(320\) | 16.4146 | − | 7.11058i | 0.917605 | − | 0.397494i | ||||
\(321\) | 4.44652 | − | 7.70159i | 0.248180 | − | 0.429861i | ||||
\(322\) | 0.571260 | − | 10.9987i | 0.0318351 | − | 0.612932i | ||||
\(323\) | −7.52535 | − | 2.01641i | −0.418722 | − | 0.112196i | ||||
\(324\) | −12.0654 | − | 27.0313i | −0.670300 | − | 1.50174i | ||||
\(325\) | 16.3332 | + | 7.63068i | 0.906002 | + | 0.423274i | ||||
\(326\) | −7.65660 | + | 1.63120i | −0.424060 | + | 0.0903439i | ||||
\(327\) | 8.42492 | − | 31.4422i | 0.465899 | − | 1.73876i | ||||
\(328\) | 0.926366 | − | 0.357090i | 0.0511500 | − | 0.0197170i | ||||
\(329\) | −3.81186 | − | 2.20078i | −0.210155 | − | 0.121333i | ||||
\(330\) | 2.42172 | + | 1.80591i | 0.133311 | + | 0.0994119i | ||||
\(331\) | −7.68468 | − | 4.43675i | −0.422388 | − | 0.243866i | 0.273710 | − | 0.961812i | \(-0.411749\pi\) |
−0.696099 | + | 0.717946i | \(0.745082\pi\) | |||||||
\(332\) | 1.87843 | − | 1.52404i | 0.103092 | − | 0.0836424i | ||||
\(333\) | −47.0761 | − | 47.0761i | −2.57976 | − | 2.57976i | ||||
\(334\) | 14.7044 | + | 4.77014i | 0.804588 | + | 0.261011i | ||||
\(335\) | −0.556040 | − | 1.12700i | −0.0303797 | − | 0.0615744i | ||||
\(336\) | −12.3923 | − | 2.60985i | −0.676054 | − | 0.142379i | ||||
\(337\) | 18.9992 | − | 18.9992i | 1.03495 | − | 1.03495i | 0.0355835 | − | 0.999367i | \(-0.488671\pi\) |
0.999367 | − | 0.0355835i | \(-0.0113290\pi\) | |||||||
\(338\) | 11.3440 | − | 14.4677i | 0.617031 | − | 0.786939i | ||||
\(339\) | 24.4608 | 1.32853 | ||||||||
\(340\) | −3.93336 | − | 3.26386i | −0.213316 | − | 0.177008i | ||||
\(341\) | 0.850971 | + | 1.47393i | 0.0460827 | + | 0.0798175i | ||||
\(342\) | 28.9298 | + | 56.7123i | 1.56434 | + | 3.06665i | ||||
\(343\) | 9.35954 | − | 9.35954i | 0.505368 | − | 0.505368i | ||||
\(344\) | −15.8660 | + | 1.69009i | −0.855440 | + | 0.0911236i | ||||
\(345\) | −51.8072 | + | 10.3153i | −2.78921 | + | 0.555358i | ||||
\(346\) | −4.71847 | − | 22.1478i | −0.253667 | − | 1.19067i | ||||
\(347\) | 10.0157 | − | 2.68371i | 0.537673 | − | 0.144069i | 0.0202438 | − | 0.999795i | \(-0.493556\pi\) |
0.517429 | + | 0.855726i | \(0.326889\pi\) | |||||||
\(348\) | −12.8155 | + | 2.04205i | −0.686981 | + | 0.109466i | ||||
\(349\) | 9.03687 | − | 5.21744i | 0.483733 | − | 0.279283i | −0.238238 | − | 0.971207i | \(-0.576570\pi\) |
0.721971 | + | 0.691924i | \(0.243237\pi\) | |||||||
\(350\) | −7.20118 | + | 0.572884i | −0.384919 | + | 0.0306219i | ||||
\(351\) | −35.7406 | + | 18.5553i | −1.90769 | + | 0.990407i | ||||
\(352\) | −0.455257 | − | 1.68330i | −0.0242653 | − | 0.0897199i | ||||
\(353\) | −4.78924 | + | 17.8737i | −0.254906 | + | 0.951321i | 0.713237 | + | 0.700923i | \(0.247228\pi\) |
−0.968143 | + | 0.250398i | \(0.919438\pi\) | |||||||
\(354\) | −2.44440 | − | 2.71223i | −0.129919 | − | 0.144154i | ||||
\(355\) | −20.3607 | + | 4.05402i | −1.08064 | + | 0.215165i | ||||
\(356\) | 22.9857 | − | 10.2597i | 1.21824 | − | 0.543760i | ||||
\(357\) | 0.936520 | + | 3.49514i | 0.0495659 | + | 0.184982i | ||||
\(358\) | 28.7185 | − | 14.6497i | 1.51782 | − | 0.774262i | ||||
\(359\) | −15.8116 | −0.834504 | −0.417252 | − | 0.908791i | \(-0.637007\pi\) | ||||
−0.417252 | + | 0.908791i | \(0.637007\pi\) | |||||||
\(360\) | 1.70623 | + | 41.7325i | 0.0899264 | + | 2.19950i | ||||
\(361\) | −13.7341 | − | 23.7881i | −0.722845 | − | 1.25200i | ||||
\(362\) | 1.14531 | − | 22.0510i | 0.0601959 | − | 1.15897i | ||||
\(363\) | −23.8966 | + | 23.8966i | −1.25425 | + | 1.25425i | ||||
\(364\) | −1.09014 | + | 7.28589i | −0.0571387 | + | 0.381885i | ||||
\(365\) | −16.5733 | − | 1.08311i | −0.867488 | − | 0.0566928i | ||||
\(366\) | 17.9756 | + | 19.9452i | 0.939600 | + | 1.04255i | ||||
\(367\) | 4.94164 | − | 18.4424i | 0.257951 | − | 0.962687i | −0.708473 | − | 0.705737i | \(-0.750616\pi\) |
0.966425 | − | 0.256950i | \(-0.0827175\pi\) | |||||||
\(368\) | 27.1941 | + | 13.7921i | 1.41759 | + | 0.718963i | ||||
\(369\) | 2.31808i | 0.120674i | ||||||||
\(370\) | 12.6034 | + | 29.2821i | 0.655219 | + | 1.52230i | ||||
\(371\) | 0.126680 | + | 0.0731388i | 0.00657690 | + | 0.00379718i | ||||
\(372\) | −12.2336 | + | 31.9590i | −0.634285 | + | 1.65700i | ||||
\(373\) | −11.7147 | + | 3.13895i | −0.606565 | + | 0.162529i | −0.549013 | − | 0.835814i | \(-0.684996\pi\) |
−0.0575523 | + | 0.998342i | \(0.518330\pi\) | |||||||
\(374\) | −0.370106 | + | 0.333558i | −0.0191377 | + | 0.0172479i | ||||
\(375\) | 11.1560 | + | 32.8031i | 0.576093 | + | 1.69395i | ||||
\(376\) | 9.84867 | − | 7.17660i | 0.507906 | − | 0.370105i | ||||
\(377\) | 1.62579 | + | 7.37194i | 0.0837324 | + | 0.379674i | ||||
\(378\) | 8.78237 | − | 13.5375i | 0.451716 | − | 0.696294i | ||||
\(379\) | −12.6970 | − | 21.9919i | −0.652203 | − | 1.12965i | −0.982587 | − | 0.185802i | \(-0.940512\pi\) |
0.330384 | − | 0.943846i | \(-0.392822\pi\) | |||||||
\(380\) | −2.82361 | − | 30.3544i | −0.144848 | − | 1.55715i | ||||
\(381\) | −0.529193 | + | 0.916589i | −0.0271114 | + | 0.0469583i | ||||
\(382\) | −3.34387 | + | 5.15438i | −0.171087 | + | 0.263721i | ||||
\(383\) | −2.36219 | − | 8.81583i | −0.120702 | − | 0.450468i | 0.878948 | − | 0.476918i | \(-0.158246\pi\) |
−0.999650 | + | 0.0264505i | \(0.991580\pi\) | |||||||
\(384\) | 20.5157 | − | 28.4327i | 1.04694 | − | 1.45095i | ||||
\(385\) | −0.0459227 | + | 0.702689i | −0.00234044 | + | 0.0358123i | ||||
\(386\) | −11.4562 | − | 3.71641i | −0.583103 | − | 0.189160i | ||||
\(387\) | 9.64223 | − | 35.9853i | 0.490142 | − | 1.82924i | ||||
\(388\) | −1.39666 | − | 8.76514i | −0.0709049 | − | 0.444983i | ||||
\(389\) | 30.2365i | 1.53305i | 0.642214 | + | 0.766525i | \(0.278016\pi\) | ||||
−0.642214 | + | 0.766525i | \(0.721984\pi\) | |||||||
\(390\) | 35.1582 | − | 3.52441i | 1.78030 | − | 0.178465i | ||||
\(391\) | − | 8.71218i | − | 0.440594i | ||||||
\(392\) | 6.05946 | + | 15.7195i | 0.306049 | + | 0.793954i | ||||
\(393\) | −12.3351 | + | 46.0351i | −0.622222 | + | 2.32217i | ||||
\(394\) | −10.0411 | + | 30.9525i | −0.505863 | + | 1.55937i | ||||
\(395\) | 21.7513 | − | 19.0827i | 1.09443 | − | 0.960153i | ||||
\(396\) | 4.04957 | + | 0.421799i | 0.203499 | + | 0.0211962i | ||||
\(397\) | 6.32300 | + | 23.5978i | 0.317342 | + | 1.18434i | 0.921789 | + | 0.387692i | \(0.126728\pi\) |
−0.604446 | + | 0.796646i | \(0.706606\pi\) | |||||||
\(398\) | 2.64522 | + | 1.71607i | 0.132593 | + | 0.0860189i | ||||
\(399\) | −10.7910 | + | 18.6906i | −0.540227 | + | 0.935700i | ||||
\(400\) | 6.63371 | − | 18.8678i | 0.331685 | − | 0.943390i | ||||
\(401\) | 8.07457 | + | 13.9856i | 0.403225 | + | 0.698406i | 0.994113 | − | 0.108348i | \(-0.0345560\pi\) |
−0.590888 | + | 0.806753i | \(0.701223\pi\) | |||||||
\(402\) | −2.06639 | − | 1.34056i | −0.103062 | − | 0.0668609i | ||||
\(403\) | 18.9788 | + | 6.00703i | 0.945404 | + | 0.299232i | ||||
\(404\) | 10.7367 | + | 24.0545i | 0.534172 | + | 1.19676i | ||||
\(405\) | −31.3414 | − | 10.6323i | −1.55737 | − | 0.528325i | ||||
\(406\) | −2.02518 | − | 2.24707i | −0.100508 | − | 0.111520i | ||||
\(407\) | 3.00170 | − | 0.804302i | 0.148789 | − | 0.0398678i | ||||
\(408\) | −9.89676 | − | 1.55327i | −0.489962 | − | 0.0768982i | ||||
\(409\) | 31.5416 | + | 18.2106i | 1.55963 | + | 0.900454i | 0.997292 | + | 0.0735480i | \(0.0234322\pi\) |
0.562340 | + | 0.826906i | \(0.309901\pi\) | |||||||
\(410\) | 0.410639 | − | 1.03124i | 0.0202800 | − | 0.0509294i | ||||
\(411\) | 26.0245i | 1.28370i | ||||||||
\(412\) | −3.65768 | + | 2.96760i | −0.180201 | + | 0.146203i | ||||
\(413\) | 0.220283 | − | 0.822106i | 0.0108394 | − | 0.0404532i | ||||
\(414\) | −52.8852 | + | 47.6629i | −2.59917 | + | 2.34250i | ||||
\(415\) | 0.176367 | − | 2.69868i | 0.00865750 | − | 0.132473i | ||||
\(416\) | −17.2154 | − | 10.9376i | −0.844054 | − | 0.536258i | ||||
\(417\) | 4.09443 | − | 4.09443i | 0.200505 | − | 0.200505i | ||||
\(418\) | −2.96772 | − | 0.154140i | −0.145156 | − | 0.00753924i | ||||
\(419\) | 1.72019 | + | 2.97945i | 0.0840366 | + | 0.145556i | 0.904980 | − | 0.425453i | \(-0.139885\pi\) |
−0.820944 | + | 0.571009i | \(0.806552\pi\) | |||||||
\(420\) | −11.5536 | + | 8.18475i | −0.563756 | + | 0.399375i | ||||
\(421\) | 17.8540 | 0.870150 | 0.435075 | − | 0.900394i | \(-0.356722\pi\) | ||||
0.435075 | + | 0.900394i | \(0.356722\pi\) | |||||||
\(422\) | −15.2995 | − | 29.9922i | −0.744766 | − | 1.46000i | ||||
\(423\) | 7.36414 | + | 27.4833i | 0.358057 | + | 1.33629i | ||||
\(424\) | −0.327302 | + | 0.238501i | −0.0158952 | + | 0.0115826i | ||||
\(425\) | −5.66530 | + | 0.748038i | −0.274807 | + | 0.0362852i | ||||
\(426\) | −30.2262 | + | 27.2414i | −1.46446 | + | 1.31985i | ||||
\(427\) | −1.61991 | + | 6.04559i | −0.0783930 | + | 0.292567i | ||||
\(428\) | −2.05174 | + | 5.35995i | −0.0991748 | + | 0.259083i | ||||
\(429\) | 0.154039 | − | 3.44095i | 0.00743705 | − | 0.166130i | ||||
\(430\) | −10.6642 | + | 14.3007i | −0.514273 | + | 0.689641i | ||||
\(431\) | −3.94329 | + | 2.27666i | −0.189941 | + | 0.109663i | −0.591955 | − | 0.805971i | \(-0.701644\pi\) |
0.402014 | + | 0.915634i | \(0.368310\pi\) | |||||||
\(432\) | 24.4022 | + | 37.4227i | 1.17405 | + | 1.80050i | ||||
\(433\) | −32.1242 | + | 8.60764i | −1.54379 | + | 0.413657i | −0.927488 | − | 0.373854i | \(-0.878036\pi\) |
−0.616301 | + | 0.787511i | \(0.711370\pi\) | |||||||
\(434\) | −7.80180 | + | 1.66214i | −0.374499 | + | 0.0797851i | ||||
\(435\) | −8.05841 | + | 12.0652i | −0.386371 | + | 0.578483i | ||||
\(436\) | −2.17634 | + | 20.8944i | −0.104228 | + | 1.00066i | ||||
\(437\) | 36.7438 | − | 36.7438i | 1.75769 | − | 1.75769i | ||||
\(438\) | −28.9981 | + | 14.7923i | −1.38558 | + | 0.706805i | ||||
\(439\) | 13.6721 | + | 23.6807i | 0.652532 | + | 1.13022i | 0.982506 | + | 0.186229i | \(0.0596266\pi\) |
−0.329974 | + | 0.943990i | \(0.607040\pi\) | |||||||
\(440\) | −1.72681 | − | 0.905012i | −0.0823225 | − | 0.0431448i | ||||
\(441\) | −39.3354 | −1.87311 | ||||||||
\(442\) | −0.562242 | + | 5.80045i | −0.0267431 | + | 0.275899i | ||||
\(443\) | −9.11221 | + | 9.11221i | −0.432934 | + | 0.432934i | −0.889625 | − | 0.456691i | \(-0.849034\pi\) |
0.456691 | + | 0.889625i | \(0.349034\pi\) | |||||||
\(444\) | 50.5844 | + | 36.6795i | 2.40063 | + | 1.74073i | ||||
\(445\) | 9.04107 | − | 26.6507i | 0.428588 | − | 1.26337i | ||||
\(446\) | 3.09452 | − | 9.53913i | 0.146530 | − | 0.451691i | ||||
\(447\) | −32.8304 | − | 32.8304i | −1.55283 | − | 1.55283i | ||||
\(448\) | 8.16292 | + | 0.404843i | 0.385662 | + | 0.0191270i | ||||
\(449\) | 0.322966 | + | 0.186465i | 0.0152417 | + | 0.00879981i | 0.507601 | − | 0.861592i | \(-0.330532\pi\) |
−0.492360 | + | 0.870392i | \(0.663866\pi\) | |||||||
\(450\) | 35.5346 | + | 30.2974i | 1.67512 | + | 1.42823i | ||||
\(451\) | −0.0937057 | − | 0.0541010i | −0.00441243 | − | 0.00254752i | ||||
\(452\) | −15.5894 | + | 2.48407i | −0.733265 | + | 0.116841i | ||||
\(453\) | 10.3516 | − | 38.6328i | 0.486362 | − | 1.81513i | ||||
\(454\) | −6.97435 | − | 32.7365i | −0.327322 | − | 1.53640i | ||||
\(455\) | 5.14958 | + | 6.42827i | 0.241416 | + | 0.301362i | ||||
\(456\) | −35.1888 | − | 48.2907i | −1.64787 | − | 2.26142i | ||||
\(457\) | −7.69302 | − | 2.06134i | −0.359864 | − | 0.0964253i | 0.0743568 | − | 0.997232i | \(-0.476310\pi\) |
−0.434221 | + | 0.900806i | \(0.642976\pi\) | |||||||
\(458\) | −17.6776 | − | 0.918154i | −0.826018 | − | 0.0429025i | ||||
\(459\) | 6.38245 | − | 11.0547i | 0.297907 | − | 0.515991i | ||||
\(460\) | 31.9703 | − | 11.8354i | 1.49062 | − | 0.551826i | ||||
\(461\) | −4.83326 | + | 8.37145i | −0.225107 | + | 0.389897i | −0.956352 | − | 0.292218i | \(-0.905607\pi\) |
0.731244 | + | 0.682116i | \(0.238940\pi\) | |||||||
\(462\) | 0.627177 | + | 1.22948i | 0.0291789 | + | 0.0572007i | ||||
\(463\) | −8.87156 | + | 8.87156i | −0.412297 | + | 0.412297i | −0.882538 | − | 0.470241i | \(-0.844167\pi\) |
0.470241 | + | 0.882538i | \(0.344167\pi\) | |||||||
\(464\) | 7.96020 | − | 2.60289i | 0.369543 | − | 0.120836i | ||||
\(465\) | 16.9283 | + | 34.3108i | 0.785033 | + | 1.59113i | ||||
\(466\) | 9.50538 | − | 8.56673i | 0.440328 | − | 0.396846i | ||||
\(467\) | −4.80242 | − | 4.80242i | −0.222229 | − | 0.222229i | 0.587207 | − | 0.809437i | \(-0.300227\pi\) |
−0.809437 | + | 0.587207i | \(0.800227\pi\) | |||||||
\(468\) | 38.2862 | − | 28.3203i | 1.76978 | − | 1.30911i | ||||
\(469\) | − | 0.574165i | − | 0.0265125i | ||||||
\(470\) | 1.59249 | − | 13.5310i | 0.0734559 | − | 0.624140i | ||||
\(471\) | −7.16963 | + | 4.13939i | −0.330359 | + | 0.190733i | ||||
\(472\) | 1.83331 | + | 1.48033i | 0.0843848 | + | 0.0681377i | ||||
\(473\) | 1.22963 | + | 1.22963i | 0.0565383 | + | 0.0565383i | ||||
\(474\) | 17.5003 | − | 53.9461i | 0.803814 | − | 2.47783i | ||||
\(475\) | −27.0483 | − | 20.7386i | −1.24106 | − | 0.951553i | ||||
\(476\) | −0.951807 | − | 2.13242i | −0.0436260 | − | 0.0977395i | ||||
\(477\) | −0.244733 | − | 0.913356i | −0.0112056 | − | 0.0418197i | ||||
\(478\) | −0.759256 | + | 14.6182i | −0.0347275 | + | 0.668622i | ||||
\(479\) | −9.51304 | − | 16.4771i | −0.434662 | − | 0.752857i | 0.562606 | − | 0.826725i | \(-0.309799\pi\) |
−0.997268 | + | 0.0738685i | \(0.976465\pi\) | |||||||
\(480\) | −7.74469 | − | 38.4273i | −0.353495 | − | 1.75396i | ||||
\(481\) | 19.5636 | − | 30.6340i | 0.892021 | − | 1.39679i | ||||
\(482\) | 31.0497 | + | 20.1433i | 1.41427 | + | 0.917500i | ||||
\(483\) | −23.3120 | − | 6.24644i | −1.06073 | − | 0.284223i | ||||
\(484\) | 12.8031 | − | 17.6566i | 0.581958 | − | 0.802573i | ||||
\(485\) | −8.25201 | − | 5.51156i | −0.374705 | − | 0.250267i | ||||
\(486\) | −17.0982 | + | 3.64270i | −0.775592 | + | 0.165236i | ||||
\(487\) | 32.5189 | − | 8.71342i | 1.47357 | − | 0.394843i | 0.569418 | − | 0.822048i | \(-0.307169\pi\) |
0.904155 | + | 0.427205i | \(0.140502\pi\) | |||||||
\(488\) | −13.4817 | − | 10.8860i | −0.610290 | − | 0.492787i | ||||
\(489\) | 17.1548i | 0.775768i | ||||||||
\(490\) | 17.4991 | + | 6.96812i | 0.790530 | + | 0.314788i | ||||
\(491\) | 7.01818 | − | 4.05195i | 0.316726 | − | 0.182862i | −0.333206 | − | 0.942854i | \(-0.608131\pi\) |
0.649932 | + | 0.759992i | \(0.274797\pi\) | |||||||
\(492\) | −0.342346 | − | 2.14848i | −0.0154341 | − | 0.0968611i | ||||
\(493\) | −1.69205 | − | 1.69205i | −0.0762061 | − | 0.0762061i | ||||
\(494\) | −26.8348 | + | 22.0922i | −1.20735 | + | 0.993976i | ||||
\(495\) | 3.42184 | − | 3.00203i | 0.153800 | − | 0.134931i | ||||
\(496\) | 4.55125 | − | 21.6106i | 0.204357 | − | 0.970343i | ||||
\(497\) | −9.16186 | − | 2.45491i | −0.410966 | − | 0.110118i | ||||
\(498\) | −2.40868 | − | 4.72184i | −0.107935 | − | 0.211591i | ||||
\(499\) | −12.5696 | −0.562691 | −0.281346 | − | 0.959606i | \(-0.590781\pi\) | ||||
−0.281346 | + | 0.959606i | \(0.590781\pi\) | |||||||
\(500\) | −10.4412 | − | 19.7732i | −0.466945 | − | 0.884286i | ||||
\(501\) | 16.9378 | − | 29.3370i | 0.756723 | − | 1.31068i | ||||
\(502\) | −14.3532 | + | 22.1246i | −0.640614 | + | 0.987469i | ||||
\(503\) | 1.88226 | + | 7.02468i | 0.0839257 | + | 0.313215i | 0.995109 | − | 0.0987871i | \(-0.0314963\pi\) |
−0.911183 | + | 0.412002i | \(0.864830\pi\) | |||||||
\(504\) | −7.73720 | + | 17.4438i | −0.344642 | + | 0.777011i | ||||
\(505\) | 27.8900 | + | 9.46148i | 1.24109 | + | 0.421030i | ||||
\(506\) | −0.692443 | − | 3.25022i | −0.0307829 | − | 0.144490i | ||||
\(507\) | −25.8281 | − | 30.9190i | −1.14707 | − | 1.37316i | ||||
\(508\) | 0.244184 | − | 0.637903i | 0.0108339 | − | 0.0283024i | ||||
\(509\) | −4.79708 | + | 2.76959i | −0.212627 | + | 0.122760i | −0.602532 | − | 0.798095i | \(-0.705841\pi\) |
0.389905 | + | 0.920855i | \(0.372508\pi\) | |||||||
\(510\) | −8.79127 | + | 6.93985i | −0.389284 | + | 0.307302i | ||||
\(511\) | −6.57158 | − | 3.79410i | −0.290710 | − | 0.167841i | ||||
\(512\) | −10.1877 | + | 20.2042i | −0.450238 | + | 0.892909i | ||||
\(513\) | 73.5416 | − | 19.7054i | 3.24694 | − | 0.870015i | ||||
\(514\) | −6.40280 | + | 19.7372i | −0.282415 | + | 0.870570i | ||||
\(515\) | −0.343421 | + | 5.25487i | −0.0151329 | + | 0.231557i | ||||
\(516\) | −3.62229 | + | 34.7766i | −0.159463 | + | 1.53095i | ||||
\(517\) | −1.28285 | − | 0.343739i | −0.0564198 | − | 0.0151176i | ||||
\(518\) | −0.755476 | + | 14.5455i | −0.0331937 | + | 0.639090i | ||||
\(519\) | −49.6226 | −2.17819 | ||||||||
\(520\) | −22.0492 | + | 5.81660i | −0.966921 | + | 0.255075i | ||||
\(521\) | −22.8884 | −1.00276 | −0.501380 | − | 0.865227i | \(-0.667174\pi\) | ||||
−0.501380 | + | 0.865227i | \(0.667174\pi\) | |||||||
\(522\) | −1.01427 | + | 19.5281i | −0.0443934 | + | 0.854722i | ||||
\(523\) | −21.7587 | − | 5.83024i | −0.951443 | − | 0.254938i | −0.250469 | − | 0.968125i | \(-0.580585\pi\) |
−0.700975 | + | 0.713186i | \(0.747251\pi\) | |||||||
\(524\) | 3.18642 | − | 30.5919i | 0.139199 | − | 1.33641i | ||||
\(525\) | −2.06029 | + | 15.6955i | −0.0899185 | + | 0.685008i | ||||
\(526\) | −2.68970 | + | 8.29122i | −0.117276 | + | 0.361514i | ||||
\(527\) | −6.09508 | + | 1.63317i | −0.265506 | + | 0.0711421i | ||||
\(528\) | −3.81559 | + | 0.207122i | −0.166052 | + | 0.00901384i | ||||
\(529\) | 30.4052 | + | 17.5544i | 1.32197 | + | 0.763237i | ||||
\(530\) | −0.0529232 | + | 0.449678i | −0.00229884 | + | 0.0195328i | ||||
\(531\) | −4.76467 | + | 2.75089i | −0.206769 | + | 0.119378i | ||||
\(532\) | 4.97928 | − | 13.0078i | 0.215879 | − | 0.563959i | ||||
\(533\) | −1.23589 | + | 0.272560i | −0.0535323 | + | 0.0118059i | ||||
\(534\) | −11.4935 | − | 53.9487i | −0.497373 | − | 2.33459i | ||||
\(535\) | 2.83911 | + | 5.75438i | 0.122745 | + | 0.248784i | ||||
\(536\) | 1.45309 | + | 0.644519i | 0.0627641 | + | 0.0278390i | ||||
\(537\) | −18.2849 | − | 68.2400i | −0.789050 | − | 2.94478i | ||||
\(538\) | 13.2409 | − | 20.4101i | 0.570855 | − | 0.879941i | ||||
\(539\) | 0.918039 | − | 1.59009i | 0.0395427 | − | 0.0684900i | ||||
\(540\) | 49.2370 | + | 8.40346i | 2.11882 | + | 0.361627i | ||||
\(541\) | −7.24832 | −0.311630 | −0.155815 | − | 0.987786i | \(-0.549800\pi\) | ||||
−0.155815 | + | 0.987786i | \(0.549800\pi\) | |||||||
\(542\) | 9.57435 | + | 18.7690i | 0.411253 | + | 0.806198i | ||||
\(543\) | −46.7377 | − | 12.5233i | −2.00571 | − | 0.537428i | ||||
\(544\) | 6.46516 | − | 0.0151127i | 0.277192 | − | 0.000647950i | ||||
\(545\) | 15.4894 | + | 17.6556i | 0.663494 | + | 0.756281i | ||||
\(546\) | 15.1177 | + | 5.66324i | 0.646978 | + | 0.242364i | ||||
\(547\) | −5.80746 | − | 5.80746i | −0.248309 | − | 0.248309i | 0.571967 | − | 0.820276i | \(-0.306180\pi\) |
−0.820276 | + | 0.571967i | \(0.806180\pi\) | |||||||
\(548\) | −2.64287 | − | 16.5860i | −0.112898 | − | 0.708520i | ||||
\(549\) | 35.0384 | − | 20.2294i | 1.49540 | − | 0.863371i | ||||
\(550\) | −2.05407 | + | 0.729344i | −0.0875860 | + | 0.0310993i | ||||
\(551\) | − | 14.2725i | − | 0.608029i | ||||||
\(552\) | 41.9770 | − | 51.9862i | 1.78666 | − | 2.21268i | ||||
\(553\) | 12.7697 | − | 3.42162i | 0.543021 | − | 0.145502i | ||||
\(554\) | −3.58220 | + | 0.763171i | −0.152193 | + | 0.0324240i | ||||
\(555\) | 68.5137 | − | 13.6417i | 2.90824 | − | 0.579059i | ||||
\(556\) | −2.19367 | + | 3.02527i | −0.0930323 | + | 0.128300i | ||||
\(557\) | 2.82745 | + | 0.757612i | 0.119803 | + | 0.0321010i | 0.318222 | − | 0.948016i | \(-0.396914\pi\) |
−0.198420 | + | 0.980117i | \(0.563581\pi\) | |||||||
\(558\) | 43.2589 | + | 28.0639i | 1.83130 | + | 1.18804i | ||||
\(559\) | 20.3194 | + | 0.909625i | 0.859419 | + | 0.0384730i | ||||
\(560\) | 6.53216 | − | 6.38962i | 0.276034 | − | 0.270011i | ||||
\(561\) | 0.545905 | + | 0.945534i | 0.0230481 | + | 0.0399205i | ||||
\(562\) | −0.821407 | + | 15.8148i | −0.0346490 | + | 0.667109i | ||||
\(563\) | 3.69877 | + | 13.8040i | 0.155884 | + | 0.581768i | 0.999028 | + | 0.0440800i | \(0.0140356\pi\) |
−0.843144 | + | 0.537688i | \(0.819298\pi\) | |||||||
\(564\) | −10.8842 | − | 24.3850i | −0.458310 | − | 1.02680i | ||||
\(565\) | −9.80269 | + | 14.6768i | −0.412402 | + | 0.617457i | ||||
\(566\) | −10.3985 | + | 32.0544i | −0.437083 | + | 1.34735i | ||||
\(567\) | −10.6921 | − | 10.6921i | −0.449024 | − | 0.449024i | ||||
\(568\) | 16.4974 | − | 20.4311i | 0.692214 | − | 0.857269i | ||||
\(569\) | −15.5542 | + | 8.98024i | −0.652067 | + | 0.376471i | −0.789248 | − | 0.614075i | \(-0.789529\pi\) |
0.137180 | + | 0.990546i | \(0.456196\pi\) | |||||||
\(570\) | −66.3463 | − | 7.80838i | −2.77894 | − | 0.327057i | ||||
\(571\) | − | 18.0409i | − | 0.754987i | −0.926012 | − | 0.377493i | \(-0.876786\pi\) | ||
0.926012 | − | 0.377493i | \(-0.123214\pi\) | |||||||
\(572\) | 0.251266 | + | 2.20864i | 0.0105060 | + | 0.0923477i | ||||
\(573\) | 9.52028 | + | 9.52028i | 0.397715 | + | 0.397715i | ||||
\(574\) | 0.376717 | − | 0.339516i | 0.0157238 | − | 0.0141711i | ||||
\(575\) | 14.5725 | − | 35.2188i | 0.607714 | − | 1.46873i | ||||
\(576\) | −35.4615 | − | 39.1625i | −1.47756 | − | 1.63177i | ||||
\(577\) | −14.7787 | + | 14.7787i | −0.615246 | + | 0.615246i | −0.944308 | − | 0.329062i | \(-0.893268\pi\) |
0.329062 | + | 0.944308i | \(0.393268\pi\) | |||||||
\(578\) | 10.0853 | + | 19.7706i | 0.419492 | + | 0.822349i | ||||
\(579\) | −13.1962 | + | 22.8564i | −0.548414 | + | 0.949881i | ||||
\(580\) | 3.91055 | − | 8.50779i | 0.162377 | − | 0.353267i | ||||
\(581\) | 0.617805 | − | 1.07007i | 0.0256309 | − | 0.0443940i | ||||
\(582\) | −19.4236 | − | 1.00884i | −0.805134 | − | 0.0418179i | ||||
\(583\) | 0.0426332 | + | 0.0114235i | 0.00176569 | + | 0.000473114i | ||||
\(584\) | 16.9789 | − | 12.3723i | 0.702592 | − | 0.511970i | ||||
\(585\) | 5.84477 | − | 52.9214i | 0.241651 | − | 2.18803i | ||||
\(586\) | 2.85871 | + | 13.4183i | 0.118092 | + | 0.554306i | ||||
\(587\) | −9.27687 | + | 34.6218i | −0.382898 | + | 1.42899i | 0.458557 | + | 0.888665i | \(0.348366\pi\) |
−0.841455 | + | 0.540328i | \(0.818300\pi\) | |||||||
\(588\) | 36.4576 | − | 5.80926i | 1.50349 | − | 0.239570i | ||||
\(589\) | −32.5940 | − | 18.8182i | −1.34301 | − | 0.775389i | ||||
\(590\) | 2.60697 | − | 0.379742i | 0.107327 | − | 0.0156337i | ||||
\(591\) | 61.7541 | + | 35.6538i | 2.54023 | + | 1.46660i | ||||
\(592\) | −35.9635 | − | 18.2397i | −1.47809 | − | 0.749647i | ||||
\(593\) | 4.42061 | + | 4.42061i | 0.181533 | + | 0.181533i | 0.792023 | − | 0.610491i | \(-0.209028\pi\) |
−0.610491 | + | 0.792023i | \(0.709028\pi\) | |||||||
\(594\) | 1.50244 | − | 4.63142i | 0.0616461 | − | 0.190029i | ||||
\(595\) | −2.47244 | − | 0.838756i | −0.101360 | − | 0.0343857i | ||||
\(596\) | 24.2576 | + | 17.5895i | 0.993629 | + | 0.720495i | ||||
\(597\) | 4.88580 | − | 4.88580i | 0.199962 | − | 0.199962i | ||||
\(598\) | −31.6298 | − | 22.5917i | −1.29344 | − | 0.923843i | ||||
\(599\) | 33.7830 | 1.38033 | 0.690167 | − | 0.723650i | \(-0.257537\pi\) | ||||
0.690167 | + | 0.723650i | \(0.257537\pi\) | |||||||
\(600\) | −37.4094 | − | 22.8329i | −1.52723 | − | 0.932149i | ||||
\(601\) | −4.38304 | − | 7.59165i | −0.178788 | − | 0.309670i | 0.762678 | − | 0.646779i | \(-0.223884\pi\) |
−0.941466 | + | 0.337109i | \(0.890551\pi\) | |||||||
\(602\) | −7.26031 | + | 3.70359i | −0.295908 | + | 0.150947i | ||||
\(603\) | −2.62446 | + | 2.62446i | −0.106876 | + | 0.106876i | ||||
\(604\) | −2.67405 | + | 25.6728i | −0.108806 | + | 1.04461i | ||||
\(605\) | −4.76167 | − | 23.9148i | −0.193590 | − | 0.972276i | ||||
\(606\) | 56.4573 | − | 12.0280i | 2.29342 | − | 0.488602i | ||||
\(607\) | −35.0505 | + | 9.39174i | −1.42265 | + | 0.381199i | −0.886425 | − | 0.462873i | \(-0.846819\pi\) |
−0.536230 | + | 0.844072i | \(0.680152\pi\) | |||||||
\(608\) | 27.3307 | + | 27.2032i | 1.10841 | + | 1.10324i | ||||
\(609\) | −5.74075 | + | 3.31442i | −0.232627 | + | 0.134307i | ||||
\(610\) | −19.1711 | + | 2.79254i | −0.776215 | + | 0.113067i | ||||
\(611\) | −13.7869 | + | 7.15770i | −0.557760 | + | 0.289570i | ||||
\(612\) | −5.39651 | + | 14.0978i | −0.218141 | + | 0.569869i | ||||
\(613\) | 0.220586 | − | 0.823239i | 0.00890940 | − | 0.0332503i | −0.961328 | − | 0.275406i | \(-0.911188\pi\) |
0.970237 | + | 0.242156i | \(0.0778544\pi\) | |||||||
\(614\) | −0.283485 | + | 0.255491i | −0.0114405 | + | 0.0103108i | ||||
\(615\) | −2.02271 | − | 1.35097i | −0.0815634 | − | 0.0544766i | ||||
\(616\) | −0.524571 | − | 0.719885i | −0.0211356 | − | 0.0290050i | ||||
\(617\) | −6.69928 | − | 25.0020i | −0.269703 | − | 1.00654i | −0.959309 | − | 0.282359i | \(-0.908883\pi\) |
0.689606 | − | 0.724185i | \(-0.257784\pi\) | |||||||
\(618\) | 4.69017 | + | 9.19435i | 0.188666 | + | 0.369851i | ||||
\(619\) | 42.4962 | 1.70807 | 0.854033 | − | 0.520218i | \(-0.174149\pi\) | ||||
0.854033 | + | 0.520218i | \(0.174149\pi\) | |||||||
\(620\) | −14.2732 | − | 20.1479i | −0.573224 | − | 0.809161i | ||||
\(621\) | 42.5699 | + | 73.7333i | 1.70827 | + | 2.95882i | ||||
\(622\) | −10.2243 | − | 0.531037i | −0.409955 | − | 0.0212927i | ||||
\(623\) | 9.09185 | − | 9.09185i | 0.364257 | − | 0.364257i | ||||
\(624\) | −31.3026 | + | 31.9027i | −1.25311 | + | 1.27713i | ||||
\(625\) | −24.1531 | − | 6.45214i | −0.966122 | − | 0.258086i | ||||
\(626\) | −15.2695 | + | 13.7617i | −0.610294 | + | 0.550028i | ||||
\(627\) | −1.68545 | + | 6.29017i | −0.0673102 | + | 0.251205i | ||||
\(628\) | 4.14900 | − | 3.36622i | 0.165563 | − | 0.134327i | ||||
\(629\) | 11.5216i | 0.459398i | ||||||||
\(630\) | 8.43481 | + | 19.5970i | 0.336051 | + | 0.780765i | ||||
\(631\) | 18.7352 | + | 10.8168i | 0.745836 | + | 0.430609i | 0.824187 | − | 0.566317i | \(-0.191632\pi\) |
−0.0783512 | + | 0.996926i | \(0.524966\pi\) | |||||||
\(632\) | −5.67493 | + | 36.1583i | −0.225737 | + | 1.43830i | ||||
\(633\) | −71.2666 | + | 19.0958i | −2.83259 | + | 0.758991i | ||||
\(634\) | −12.2289 | − | 13.5688i | −0.485670 | − | 0.538884i | ||||
\(635\) | −0.337890 | − | 0.684846i | −0.0134088 | − | 0.0271773i | ||||
\(636\) | 0.361717 | + | 0.810391i | 0.0143430 | + | 0.0321341i | ||||
\(637\) | −4.62506 | − | 20.9718i | −0.183252 | − | 0.830932i | ||||
\(638\) | −0.765730 | − | 0.496762i | −0.0303155 | − | 0.0196670i | ||||
\(639\) | 30.6569 | + | 53.0994i | 1.21277 | + | 2.10058i | ||||
\(640\) | 8.83827 | + | 23.7041i | 0.349363 | + | 0.936987i | ||||
\(641\) | −15.5280 | + | 26.8953i | −0.613319 | + | 1.06230i | 0.377358 | + | 0.926067i | \(0.376833\pi\) |
−0.990677 | + | 0.136232i | \(0.956501\pi\) | |||||||
\(642\) | 10.5509 | + | 6.84480i | 0.416409 | + | 0.270143i | ||||
\(643\) | 9.45368 | + | 35.2816i | 0.372817 | + | 1.39137i | 0.856509 | + | 0.516132i | \(0.172629\pi\) |
−0.483692 | + | 0.875238i | \(0.660705\pi\) | |||||||
\(644\) | 15.4916 | + | 1.61359i | 0.610456 | + | 0.0635844i | ||||
\(645\) | 25.7806 | + | 29.3858i | 1.01511 | + | 1.15707i | ||||
\(646\) | 3.39981 | − | 10.4802i | 0.133764 | − | 0.412339i | ||||
\(647\) | −2.74099 | + | 10.2295i | −0.107759 | + | 0.402163i | −0.998644 | − | 0.0520672i | \(-0.983419\pi\) |
0.890884 | + | 0.454230i | \(0.150086\pi\) | |||||||
\(648\) | 39.0616 | − | 15.0572i | 1.53448 | − | 0.591504i | ||||
\(649\) | − | 0.256809i | − | 0.0100806i | ||||||
\(650\) | −11.9750 | + | 22.5078i | −0.469698 | + | 0.882827i | ||||
\(651\) | 17.4801i | 0.685101i | ||||||||
\(652\) | −1.74212 | − | 10.9331i | −0.0682267 | − | 0.428175i | ||||
\(653\) | −3.90006 | + | 14.5552i | −0.152621 | + | 0.569590i | 0.846676 | + | 0.532109i | \(0.178600\pi\) |
−0.999297 | + | 0.0374814i | \(0.988066\pi\) | |||||||
\(654\) | 43.7882 | + | 14.2050i | 1.71225 | + | 0.555460i | ||||
\(655\) | −22.6784 | − | 25.8498i | −0.886117 | − | 1.01004i | ||||
\(656\) | 0.436369 | + | 1.33451i | 0.0170374 | + | 0.0521039i | ||||
\(657\) | 12.6956 | + | 47.3807i | 0.495303 | + | 1.84850i | ||||
\(658\) | 3.38780 | − | 5.22210i | 0.132070 | − | 0.203579i | ||||
\(659\) | 15.1150 | − | 26.1800i | 0.588797 | − | 1.01983i | −0.405593 | − | 0.914054i | \(-0.632935\pi\) |
0.994390 | − | 0.105773i | \(-0.0337318\pi\) | |||||||
\(660\) | −2.72814 | + | 3.28775i | −0.106193 | + | 0.127976i | ||||
\(661\) | −2.45603 | − | 4.25396i | −0.0955283 | − | 0.165460i | 0.814301 | − | 0.580443i | \(-0.197121\pi\) |
−0.909829 | + | 0.414983i | \(0.863787\pi\) | |||||||
\(662\) | 6.82977 | − | 10.5277i | 0.265447 | − | 0.409171i | ||||
\(663\) | 12.1751 | + | 3.85356i | 0.472841 | + | 0.149660i | ||||
\(664\) | 2.01462 | + | 2.76473i | 0.0781825 | + | 0.107292i | ||||
\(665\) | −6.89008 | − | 13.9650i | −0.267186 | − | 0.541540i | ||||
\(666\) | 69.9393 | − | 63.0329i | 2.71009 | − | 2.44247i | ||||
\(667\) | 15.4166 | − | 4.13086i | 0.596932 | − | 0.159947i | ||||
\(668\) | −7.81555 | + | 20.4172i | −0.302393 | + | 0.789967i | ||||
\(669\) | −19.0317 | − | 10.9880i | −0.735809 | − | 0.424820i | ||||
\(670\) | 1.63246 | − | 0.702630i | 0.0630673 | − | 0.0271450i | ||||
\(671\) | 1.88852i | 0.0729054i | ||||||||
\(672\) | 4.59494 | − | 17.3103i | 0.177254 | − | 0.667759i | ||||
\(673\) | 10.6426 | − | 39.7188i | 0.410242 | − | 1.53105i | −0.383935 | − | 0.923360i | \(-0.625431\pi\) |
0.794178 | − | 0.607685i | \(-0.207902\pi\) | |||||||
\(674\) | 25.4390 | + | 28.2264i | 0.979875 | + | 1.08724i | ||||
\(675\) | 44.2917 | − | 34.0129i | 1.70479 | − | 1.30916i | ||||
\(676\) | 19.6007 | + | 17.0825i | 0.753875 | + | 0.657018i | ||||
\(677\) | −26.0883 | + | 26.0883i | −1.00265 | + | 1.00265i | −0.00265780 | + | 0.999996i | \(0.500846\pi\) |
−0.999996 | + | 0.00265780i | \(0.999154\pi\) | |||||||
\(678\) | −1.79430 | + | 34.5462i | −0.0689096 | + | 1.32674i | ||||
\(679\) | −2.26690 | − | 3.92639i | −0.0869956 | − | 0.150681i | ||||
\(680\) | 4.89811 | − | 5.31570i | 0.187834 | − | 0.203848i | ||||
\(681\) | −73.3469 | −2.81066 | ||||||||
\(682\) | −2.14406 | + | 1.09372i | −0.0821003 | + | 0.0418806i | ||||
\(683\) | −11.5561 | − | 43.1280i | −0.442182 | − | 1.65025i | −0.723271 | − | 0.690564i | \(-0.757362\pi\) |
0.281089 | − | 0.959682i | \(-0.409304\pi\) | |||||||
\(684\) | −82.2175 | + | 36.6977i | −3.14366 | + | 1.40317i | ||||
\(685\) | −15.6150 | − | 10.4294i | −0.596620 | − | 0.398485i | ||||
\(686\) | 12.5320 | + | 13.9051i | 0.478475 | + | 0.530901i | ||||
\(687\) | −10.0396 | + | 37.4681i | −0.383033 | + | 1.42950i | ||||
\(688\) | −1.22309 | − | 22.5318i | −0.0466300 | − | 0.859015i | ||||
\(689\) | 0.458183 | − | 0.237873i | 0.0174554 | − | 0.00906223i | ||||
\(690\) | −10.7682 | − | 73.9245i | −0.409937 | − | 2.81426i | ||||
\(691\) | 1.52381 | − | 0.879771i | 0.0579684 | − | 0.0334681i | −0.470736 | − | 0.882274i | \(-0.656011\pi\) |
0.528704 | + | 0.848806i | \(0.322678\pi\) | |||||||
\(692\) | 31.6256 | − | 5.03932i | 1.20223 | − | 0.191566i | ||||
\(693\) | 2.00888 | − | 0.538279i | 0.0763112 | − | 0.0204475i | ||||
\(694\) | 3.05553 | + | 14.3422i | 0.115986 | + | 0.544422i | ||||
\(695\) | 0.815862 | + | 4.09755i | 0.0309474 | + | 0.155429i | ||||
\(696\) | −1.94395 | − | 18.2492i | −0.0736852 | − | 0.691734i | ||||
\(697\) | 0.283668 | − | 0.283668i | 0.0107447 | − | 0.0107447i | ||||
\(698\) | 6.70575 | + | 13.1456i | 0.253816 | + | 0.497568i | ||||
\(699\) | −14.0204 | − | 24.2840i | −0.530300 | − | 0.918507i | ||||
\(700\) | −0.280854 | − | 10.2123i | −0.0106153 | − | 0.385990i | ||||
\(701\) | 24.7396 | 0.934403 | 0.467201 | − | 0.884151i | \(-0.345262\pi\) | ||||
0.467201 | + | 0.884151i | \(0.345262\pi\) | |||||||
\(702\) | −23.5841 | − | 51.8379i | −0.890124 | − | 1.95649i | ||||
\(703\) | −48.5927 | + | 48.5927i | −1.83271 | + | 1.83271i | ||||
\(704\) | 2.41073 | − | 0.519488i | 0.0908578 | − | 0.0195790i | ||||
\(705\) | −28.2732 | − | 9.59148i | −1.06483 | − | 0.361236i | ||||
\(706\) | −24.8919 | − | 8.07500i | −0.936818 | − | 0.303907i | ||||
\(707\) | 9.51462 | + | 9.51462i | 0.357834 | + | 0.357834i | ||||
\(708\) | 4.00982 | − | 3.25330i | 0.150698 | − | 0.122267i | ||||
\(709\) | −19.0456 | − | 10.9960i | −0.715271 | − | 0.412962i | 0.0977385 | − | 0.995212i | \(-0.468839\pi\) |
−0.813010 | + | 0.582250i | \(0.802172\pi\) | |||||||
\(710\) | −4.23199 | − | 29.0531i | −0.158824 | − | 1.09034i | ||||
\(711\) | −74.0090 | − | 42.7291i | −2.77556 | − | 1.60247i | ||||
\(712\) | 12.8037 | + | 33.2155i | 0.479840 | + | 1.24480i | ||||
\(713\) | 10.8930 | − | 40.6532i | 0.407946 | − | 1.52248i | ||||
\(714\) | −5.00492 | + | 1.06627i | −0.187304 | + | 0.0399043i | ||||
\(715\) | 2.00288 | + | 1.47139i | 0.0749034 | + | 0.0550268i | ||||
\(716\) | 18.5833 | + | 41.6340i | 0.694492 | + | 1.55594i | ||||
\(717\) | 30.9838 | + | 8.30208i | 1.15711 | + | 0.310047i | ||||
\(718\) | 1.15984 | − | 22.3309i | 0.0432850 | − | 0.833381i | ||||
\(719\) | −23.3443 | + | 40.4335i | −0.870596 | + | 1.50792i | −0.00921414 | + | 0.999958i | \(0.502933\pi\) |
−0.861382 | + | 0.507958i | \(0.830400\pi\) | |||||||
\(720\) | −59.0644 | − | 0.651516i | −2.20120 | − | 0.0242806i | ||||
\(721\) | −1.20299 | + | 2.08364i | −0.0448016 | + | 0.0775986i | ||||
\(722\) | 34.6036 | − | 17.6518i | 1.28781 | − | 0.656932i | ||||
\(723\) | 57.3496 | − | 57.3496i | 2.13285 | − | 2.13285i | ||||
\(724\) | 31.0588 | + | 3.23505i | 1.15429 | + | 0.120230i | ||||
\(725\) | −4.00987 | − | 9.67029i | −0.148923 | − | 0.359146i | ||||
\(726\) | −31.9965 | − | 35.5023i | −1.18750 | − | 1.31761i | ||||
\(727\) | 21.5619 | + | 21.5619i | 0.799686 | + | 0.799686i | 0.983046 | − | 0.183360i | \(-0.0586973\pi\) |
−0.183360 | + | 0.983046i | \(0.558697\pi\) | |||||||
\(728\) | −10.2100 | − | 2.07406i | −0.378407 | − | 0.0768698i | ||||
\(729\) | − | 6.09358i | − | 0.225688i | ||||||
\(730\) | 2.74541 | − | 23.3272i | 0.101612 | − | 0.863380i | ||||
\(731\) | −5.58355 | + | 3.22366i | −0.206515 | + | 0.119231i | ||||
\(732\) | −29.4873 | + | 23.9241i | −1.08988 | + | 0.884259i | ||||
\(733\) | −21.2617 | − | 21.2617i | −0.785319 | − | 0.785319i | 0.195404 | − | 0.980723i | \(-0.437398\pi\) |
−0.980723 | + | 0.195404i | \(0.937398\pi\) | |||||||
\(734\) | 25.6839 | + | 8.33195i | 0.948012 | + | 0.307538i | ||||
\(735\) | 22.9247 | − | 34.3233i | 0.845589 | − | 1.26603i | ||||
\(736\) | −21.4735 | + | 37.3948i | −0.791524 | + | 1.37839i | ||||
\(737\) | −0.0448393 | − | 0.167343i | −0.00165168 | − | 0.00616414i | ||||
\(738\) | −3.27384 | − | 0.170040i | −0.120512 | − | 0.00625926i | ||||
\(739\) | −13.1845 | − | 22.8362i | −0.485000 | − | 0.840045i | 0.514851 | − | 0.857279i | \(-0.327847\pi\) |
−0.999851 | + | 0.0172347i | \(0.994514\pi\) | |||||||
\(740\) | −42.2799 | + | 15.6519i | −1.55424 | + | 0.575377i | ||||
\(741\) | 35.0961 | + | 67.6010i | 1.28929 | + | 2.48339i | ||||
\(742\) | −0.112587 | + | 0.173547i | −0.00413320 | + | 0.00637110i | ||||
\(743\) | −14.2438 | − | 3.81660i | −0.522553 | − | 0.140018i | −0.0121057 | − | 0.999927i | \(-0.503853\pi\) |
−0.510447 | + | 0.859909i | \(0.670520\pi\) | |||||||
\(744\) | −44.2387 | − | 19.6220i | −1.62187 | − | 0.719378i | ||||
\(745\) | 32.8555 | − | 6.54184i | 1.20373 | − | 0.239675i | ||||
\(746\) | −3.57385 | − | 16.7751i | −0.130848 | − | 0.614179i | ||||
\(747\) | −7.71514 | + | 2.06727i | −0.282282 | + | 0.0756373i | ||||
\(748\) | −0.443939 | − | 0.547172i | −0.0162320 | − | 0.0200066i | ||||
\(749\) | 2.93165i | 0.107120i | ||||||||
\(750\) | −47.1465 | + | 13.3495i | −1.72155 | + | 0.487454i | ||||
\(751\) | 15.0651 | − | 8.69785i | 0.549734 | − | 0.317389i | −0.199281 | − | 0.979942i | \(-0.563861\pi\) |
0.749015 | + | 0.662553i | \(0.230527\pi\) | |||||||
\(752\) | 9.41315 | + | 14.4358i | 0.343262 | + | 0.526420i | ||||
\(753\) | 40.8647 | + | 40.8647i | 1.48919 | + | 1.48919i | ||||
\(754\) | −10.5307 | + | 1.75536i | −0.383506 | + | 0.0639263i | ||||
\(755\) | 19.0318 | + | 21.6933i | 0.692636 | + | 0.789498i | ||||
\(756\) | 18.4749 | + | 13.3965i | 0.671927 | + | 0.487224i | ||||
\(757\) | −15.8059 | − | 4.23517i | −0.574474 | − | 0.153930i | −0.0401264 | − | 0.999195i | \(-0.512776\pi\) |
−0.534348 | + | 0.845265i | \(0.679443\pi\) | |||||||
\(758\) | 31.9908 | − | 16.3190i | 1.16196 | − | 0.592731i | ||||
\(759\) | −7.28220 | −0.264327 | ||||||||
\(760\) | 43.0769 | − | 1.76120i | 1.56256 | − | 0.0638854i | ||||
\(761\) | −1.21602 | + | 2.10620i | −0.0440805 | + | 0.0763497i | −0.887224 | − | 0.461339i | \(-0.847369\pi\) |
0.843143 | + | 0.537689i | \(0.180702\pi\) | |||||||
\(762\) | −1.25569 | − | 0.814619i | −0.0454888 | − | 0.0295105i | ||||
\(763\) | 2.77734 | + | 10.3652i | 0.100546 | + | 0.375244i | ||||
\(764\) | −7.03430 | − | 5.10068i | −0.254492 | − | 0.184536i | ||||
\(765\) | 7.46743 | + | 15.1352i | 0.269985 | + | 0.547215i | ||||
\(766\) | 12.6240 | − | 2.68947i | 0.456122 | − | 0.0971747i | ||||
\(767\) | −2.02687 | − | 2.21685i | −0.0731862 | − | 0.0800458i | ||||
\(768\) | 38.6509 | + | 31.0602i | 1.39469 | + | 1.12079i | ||||
\(769\) | −8.14739 | + | 4.70390i | −0.293803 | + | 0.169627i | −0.639655 | − | 0.768662i | \(-0.720923\pi\) |
0.345853 | + | 0.938289i | \(0.387590\pi\) | |||||||
\(770\) | −0.989046 | − | 0.116402i | −0.0356427 | − | 0.00419484i | ||||
\(771\) | 39.3781 | + | 22.7350i | 1.41817 | + | 0.818780i | ||||
\(772\) | 6.08908 | − | 15.9070i | 0.219151 | − | 0.572507i | ||||
\(773\) | 11.6002 | − | 3.10826i | 0.417230 | − | 0.111796i | −0.0440958 | − | 0.999027i | \(-0.514041\pi\) |
0.461326 | + | 0.887231i | \(0.347374\pi\) | |||||||
\(774\) | 50.1151 | + | 16.2575i | 1.80135 | + | 0.584363i | ||||
\(775\) | −27.3710 | − | 3.59289i | −0.983194 | − | 0.129060i | ||||
\(776\) | 12.4815 | − | 1.32957i | 0.448061 | − | 0.0477286i | ||||
\(777\) | 30.8296 | + | 8.26075i | 1.10600 | + | 0.296353i | ||||
\(778\) | −42.7033 | − | 2.21797i | −1.53099 | − | 0.0795179i | ||||
\(779\) | 2.39275 | 0.0857293 | ||||||||
\(780\) | 2.39856 | + | 49.9128i | 0.0858823 | + | 1.78717i | ||||
\(781\) | −2.86198 | −0.102410 | ||||||||
\(782\) | 12.3043 | + | 0.639073i | 0.440001 | + | 0.0228532i | ||||
\(783\) | 22.5880 | + | 6.05244i | 0.807230 | + | 0.216297i | ||||
\(784\) | −22.6453 | + | 7.40475i | −0.808760 | + | 0.264455i | ||||
\(785\) | 0.389551 | − | 5.96073i | 0.0139037 | − | 0.212748i | ||||
\(786\) | −64.1110 | − | 20.7978i | −2.28677 | − | 0.741833i | ||||
\(787\) | 34.4669 | − | 9.23539i | 1.22861 | − | 0.329206i | 0.414574 | − | 0.910015i | \(-0.363931\pi\) |
0.814040 | + | 0.580809i | \(0.197264\pi\) | |||||||
\(788\) | −42.9780 | − | 16.4516i | −1.53103 | − | 0.586065i | ||||
\(789\) | 16.5420 | + | 9.55053i | 0.588911 | + | 0.340008i | ||||
\(790\) | 25.3551 | + | 32.1193i | 0.902093 | + | 1.14275i | ||||
\(791\) | −6.98336 | + | 4.03184i | −0.248300 | + | 0.143356i | ||||
\(792\) | −0.892763 | + | 5.68831i | −0.0317230 | + | 0.202125i | ||||
\(793\) | 14.9052 | + | 16.3022i | 0.529299 | + | 0.578909i | ||||
\(794\) | −33.7912 | + | 7.19905i | −1.19920 | + | 0.255485i | ||||
\(795\) | 0.939607 | + | 0.318755i | 0.0333244 | + | 0.0113051i | ||||
\(796\) | −2.61766 | + | 3.61000i | −0.0927806 | + | 0.127953i | ||||
\(797\) | 10.2438 | + | 38.2304i | 0.362855 | + | 1.35419i | 0.870306 | + | 0.492511i | \(0.163921\pi\) |
−0.507451 | + | 0.861680i | \(0.669412\pi\) | |||||||
\(798\) | −25.6054 | − | 16.6113i | −0.906420 | − | 0.588033i | ||||
\(799\) | 2.46203 | − | 4.26437i | 0.0871004 | − | 0.150862i | ||||
\(800\) | 26.1606 | + | 10.7529i | 0.924916 | + | 0.380172i | ||||
\(801\) | −83.1162 | −2.93677 | ||||||||
\(802\) | −20.3443 | + | 10.3779i | −0.718381 | + | 0.366456i | ||||
\(803\) | −2.21161 | − | 0.592600i | −0.0780461 | − | 0.0209124i | ||||
\(804\) | 2.04486 | − | 2.82005i | 0.0721166 | − | 0.0994554i | ||||
\(805\) | 13.0903 | − | 11.4842i | 0.461371 | − | 0.404766i | ||||
\(806\) | −9.87597 | + | 26.3634i | −0.347866 | + | 0.928610i | ||||
\(807\) | −37.6979 | − | 37.6979i | −1.32703 | − | 1.32703i | ||||
\(808\) | −34.7600 | + | 13.3991i | −1.22285 | + | 0.471378i | ||||
\(809\) | −32.7812 | + | 18.9262i | −1.15252 | + | 0.665411i | −0.949501 | − | 0.313763i | \(-0.898410\pi\) |
−0.203024 | + | 0.979174i | \(0.565077\pi\) | |||||||
\(810\) | 17.3152 | − | 43.4839i | 0.608393 | − | 1.52787i | ||||
\(811\) | 24.1511i | 0.848060i | 0.905648 | + | 0.424030i | \(0.139385\pi\) | ||||
−0.905648 | + | 0.424030i | \(0.860615\pi\) | |||||||
\(812\) | 3.32212 | − | 2.69534i | 0.116583 | − | 0.0945880i | ||||
\(813\) | 44.5984 | − | 11.9501i | 1.56413 | − | 0.419108i | ||||
\(814\) | 0.915738 | + | 4.29833i | 0.0320966 | + | 0.150656i | ||||
\(815\) | −10.2931 | − | 6.87481i | −0.360552 | − | 0.240814i | ||||
\(816\) | 2.91966 | − | 13.8633i | 0.102209 | − | 0.485314i | ||||
\(817\) | −37.1446 | − | 9.95285i | −1.29952 | − | 0.348206i | ||||
\(818\) | −28.0326 | + | 43.2107i | −0.980138 | + | 1.51083i | ||||
\(819\) | 13.0929 | − | 20.5018i | 0.457503 | − | 0.716390i | ||||
\(820\) | 1.42631 | + | 0.655595i | 0.0498090 | + | 0.0228944i | ||||
\(821\) | −19.8657 | − | 34.4085i | −0.693319 | − | 1.20086i | −0.970744 | − | 0.240116i | \(-0.922814\pi\) |
0.277425 | − | 0.960747i | \(-0.410519\pi\) | |||||||
\(822\) | −36.7547 | − | 1.90900i | −1.28197 | − | 0.0665841i | ||||
\(823\) | 5.89696 | + | 22.0078i | 0.205555 | + | 0.767142i | 0.989280 | + | 0.146034i | \(0.0466508\pi\) |
−0.783724 | + | 0.621109i | \(0.786683\pi\) | |||||||
\(824\) | −3.92286 | − | 5.38346i | −0.136659 | − | 0.187542i | ||||
\(825\) | 0.625258 | + | 4.73541i | 0.0217687 | + | 0.164866i | ||||
\(826\) | 1.14491 | + | 0.371412i | 0.0398365 | + | 0.0129231i | ||||
\(827\) | −17.6256 | − | 17.6256i | −0.612902 | − | 0.612902i | 0.330799 | − | 0.943701i | \(-0.392682\pi\) |
−0.943701 | + | 0.330799i | \(0.892682\pi\) | |||||||
\(828\) | −63.4354 | − | 78.1866i | −2.20453 | − | 2.71717i | ||||
\(829\) | −0.530163 | + | 0.306090i | −0.0184133 | + | 0.0106309i | −0.509178 | − | 0.860661i | \(-0.670051\pi\) |
0.490765 | + | 0.871292i | \(0.336717\pi\) | |||||||
\(830\) | 3.79844 | + | 0.447044i | 0.131846 | + | 0.0155171i | ||||
\(831\) | 8.02601i | 0.278419i | ||||||||
\(832\) | 16.7100 | − | 23.5112i | 0.579317 | − | 0.815103i | ||||
\(833\) | 4.81357 | + | 4.81357i | 0.166780 | + | 0.166780i | ||||
\(834\) | 5.48226 | + | 6.08294i | 0.189835 | + | 0.210635i | ||||
\(835\) | 10.8148 | + | 21.9197i | 0.374261 | + | 0.758563i | ||||
\(836\) | 0.435387 | − | 4.18003i | 0.0150582 | − | 0.144569i | ||||
\(837\) | 43.6040 | − | 43.6040i | 1.50718 | − | 1.50718i | ||||
\(838\) | −4.33409 | + | 2.21088i | −0.149719 | + | 0.0763736i | ||||
\(839\) | −8.79637 | + | 15.2358i | −0.303685 | + | 0.525997i | −0.976968 | − | 0.213388i | \(-0.931550\pi\) |
0.673283 | + | 0.739385i | \(0.264884\pi\) | |||||||
\(840\) | −10.7119 | − | 16.9176i | −0.369596 | − | 0.583712i | ||||
\(841\) | −12.3081 | + | 21.3183i | −0.424418 | + | 0.735114i | ||||
\(842\) | −1.30966 | + | 25.2154i | −0.0451339 | + | 0.868979i | ||||
\(843\) | 33.5201 | + | 8.98167i | 1.15449 | + | 0.309345i | ||||
\(844\) | 43.4806 | − | 19.4075i | 1.49666 | − | 0.668035i | ||||
\(845\) | 28.9024 | − | 3.10636i | 0.994274 | − | 0.106862i | ||||
\(846\) | −39.3552 | + | 8.38443i | −1.35306 | + | 0.288263i | ||||
\(847\) | 2.88343 | − | 10.7611i | 0.0990759 | − | 0.369756i | ||||
\(848\) | −0.312828 | − | 0.479747i | −0.0107426 | − | 0.0164746i | ||||
\(849\) | 63.9524 | + | 36.9230i | 2.19484 | + | 1.26719i | ||||
\(850\) | −0.640890 | − | 8.05602i | −0.0219823 | − | 0.276319i | ||||
\(851\) | −66.5519 | − | 38.4237i | −2.28137 | − | 1.31715i | ||||
\(852\) | −36.2560 | − | 44.6870i | −1.24211 | − | 1.53095i | ||||
\(853\) | 13.0205 | + | 13.0205i | 0.445812 | + | 0.445812i | 0.893960 | − | 0.448148i | \(-0.147916\pi\) |
−0.448148 | + | 0.893960i | \(0.647916\pi\) | |||||||
\(854\) | −8.41942 | − | 2.73128i | −0.288107 | − | 0.0934626i | ||||
\(855\) | −32.3390 | + | 95.3270i | −1.10597 | + | 3.26011i | ||||
\(856\) | −7.41941 | − | 3.29087i | −0.253590 | − | 0.112480i | ||||
\(857\) | −15.2812 | + | 15.2812i | −0.521996 | + | 0.521996i | −0.918174 | − | 0.396177i | \(-0.870336\pi\) |
0.396177 | + | 0.918174i | \(0.370336\pi\) | |||||||
\(858\) | 4.84838 | + | 0.469957i | 0.165521 | + | 0.0160441i | ||||
\(859\) | 23.7087 | 0.808930 | 0.404465 | − | 0.914553i | \(-0.367458\pi\) | ||||
0.404465 | + | 0.914553i | \(0.367458\pi\) | |||||||
\(860\) | −19.4147 | − | 16.1102i | −0.662037 | − | 0.549352i | ||||
\(861\) | −0.555655 | − | 0.962423i | −0.0189367 | − | 0.0327993i | ||||
\(862\) | −2.92609 | − | 5.73614i | −0.0996630 | − | 0.195374i | ||||
\(863\) | 22.8772 | − | 22.8772i | 0.778749 | − | 0.778749i | −0.200869 | − | 0.979618i | \(-0.564377\pi\) |
0.979618 | + | 0.200869i | \(0.0643766\pi\) | |||||||
\(864\) | −54.6424 | + | 31.7183i | −1.85897 | + | 1.07908i | ||||
\(865\) | 19.8863 | − | 29.7742i | 0.676155 | − | 1.01235i | ||||
\(866\) | −9.80023 | − | 46.0007i | −0.333025 | − | 1.56317i | ||||
\(867\) | 46.9784 | − | 12.5878i | 1.59547 | − | 0.427505i | ||||
\(868\) | −1.77516 | − | 11.1405i | −0.0602528 | − | 0.378133i | ||||
\(869\) | 3.45455 | − | 1.99449i | 0.117188 | − | 0.0676584i | ||||
\(870\) | −16.4487 | − | 12.2660i | −0.557664 | − | 0.415857i | ||||
\(871\) | −1.70782 | − | 1.09065i | −0.0578674 | − | 0.0369554i | ||||
\(872\) | −29.3497 | − | 4.60636i | −0.993908 | − | 0.155991i | ||||
\(873\) | −7.58538 | + | 28.3090i | −0.256726 | + | 0.958115i | ||||
\(874\) | 49.1983 | + | 54.5889i | 1.66416 | + | 1.84650i | ||||
\(875\) | −8.59183 | − | 7.52619i | −0.290457 | − | 0.254432i | ||||
\(876\) | −18.7642 | − | 42.0393i | −0.633985 | − | 1.42038i | ||||
\(877\) | 7.83003 | + | 29.2221i | 0.264401 | + | 0.986759i | 0.962616 | + | 0.270871i | \(0.0873116\pi\) |
−0.698214 | + | 0.715889i | \(0.746022\pi\) | |||||||
\(878\) | −34.4474 | + | 17.5721i | −1.16254 | + | 0.593030i | ||||
\(879\) | 30.0641 | 1.01404 | ||||||||
\(880\) | 1.40483 | − | 2.37241i | 0.0473567 | − | 0.0799738i | ||||
\(881\) | −12.7834 | − | 22.1416i | −0.430685 | − | 0.745968i | 0.566248 | − | 0.824235i | \(-0.308395\pi\) |
−0.996932 | + | 0.0782672i | \(0.975061\pi\) | |||||||
\(882\) | 2.88541 | − | 55.5538i | 0.0971567 | − | 1.87059i | ||||
\(883\) | −28.9260 | + | 28.9260i | −0.973436 | + | 0.973436i | −0.999656 | − | 0.0262202i | \(-0.991653\pi\) |
0.0262202 | + | 0.999656i | \(0.491653\pi\) | |||||||
\(884\) | −8.15079 | − | 1.21955i | −0.274141 | − | 0.0410178i | ||||
\(885\) | 0.376483 | − | 5.76078i | 0.0126553 | − | 0.193646i | ||||
\(886\) | −12.2008 | − | 13.5377i | −0.409895 | − | 0.454807i | ||||
\(887\) | 1.64375 | − | 6.13455i | 0.0551916 | − | 0.205978i | −0.932824 | − | 0.360333i | \(-0.882663\pi\) |
0.988015 | + | 0.154355i | \(0.0493299\pi\) | |||||||
\(888\) | −55.5134 | + | 68.7503i | −1.86291 | + | 2.30711i | ||||
\(889\) | − | 0.348904i | − | 0.0117019i | ||||||
\(890\) | 36.9759 | + | 14.7237i | 1.23944 | + | 0.493540i | ||||
\(891\) | −3.95124 | − | 2.28125i | −0.132371 | − | 0.0764247i | ||||
\(892\) | 13.2452 | + | 5.07016i | 0.443483 | + | 0.169761i | ||||
\(893\) | 28.3687 | − | 7.60137i | 0.949322 | − | 0.254370i | ||||
\(894\) | 48.7750 | − | 43.9585i | 1.63128 | − | 1.47019i | ||||
\(895\) | 48.2725 | + | 16.3761i | 1.61357 | + | 0.547393i | ||||
\(896\) | −1.17055 | + | 11.4989i | −0.0391052 | + | 0.384150i | ||||
\(897\) | −62.8621 | + | 57.4750i | −2.09890 | + | 1.91903i | ||||
\(898\) | −0.287037 | + | 0.442450i | −0.00957853 | + | 0.0147648i | ||||
\(899\) | −5.77993 | − | 10.0111i | −0.192771 | − | 0.333890i | ||||
\(900\) | −45.3960 | + | 47.9635i | −1.51320 | + | 1.59878i | ||||
\(901\) | −0.0818210 | + | 0.141718i | −0.00272585 | + | 0.00472132i | ||||
\(902\) | 0.0832810 | − | 0.128373i | 0.00277296 | − | 0.00427435i | ||||
\(903\) | 4.62259 | + | 17.2517i | 0.153830 | + | 0.574102i | ||||
\(904\) | −2.36473 | − | 22.1993i | −0.0786496 | − | 0.738338i | ||||
\(905\) | 26.2443 | − | 23.0245i | 0.872391 | − | 0.765360i | ||||
\(906\) | 53.8022 | + | 17.4536i | 1.78746 | + | 0.579857i | ||||
\(907\) | −3.35800 | + | 12.5322i | −0.111500 | + | 0.416125i | −0.999001 | − | 0.0446806i | \(-0.985773\pi\) |
0.887501 | + | 0.460806i | \(0.152440\pi\) | |||||||
\(908\) | 46.7456 | − | 7.44859i | 1.55131 | − | 0.247190i | ||||
\(909\) | − | 86.9812i | − | 2.88498i | ||||||
\(910\) | −9.45645 | + | 6.80127i | −0.313478 | + | 0.225460i | ||||
\(911\) | − | 26.9314i | − | 0.892278i | −0.894964 | − | 0.446139i | \(-0.852799\pi\) | ||
0.894964 | − | 0.446139i | \(-0.147201\pi\) | |||||||
\(912\) | 70.7826 | − | 46.1552i | 2.34385 | − | 1.52835i | ||||
\(913\) | 0.0964947 | − | 0.360123i | 0.00319351 | − | 0.0119183i | ||||
\(914\) | 3.47556 | − | 10.7137i | 0.114961 | − | 0.354378i | ||||
\(915\) | −2.76858 | + | 42.3635i | −0.0915263 | + | 1.40049i | ||||
\(916\) | 2.59344 | − | 24.8988i | 0.0856896 | − | 0.822681i | ||||
\(917\) | −4.06635 | − | 15.1758i | −0.134283 | − | 0.501150i | ||||
\(918\) | 15.1445 | + | 9.82491i | 0.499844 | + | 0.324270i | ||||
\(919\) | 4.01543 | − | 6.95492i | 0.132457 | − | 0.229422i | −0.792166 | − | 0.610305i | \(-0.791047\pi\) |
0.924623 | + | 0.380884i | \(0.124380\pi\) | |||||||
\(920\) | 14.3700 | + | 46.0202i | 0.473766 | + | 1.51724i | ||||
\(921\) | 0.418139 | + | 0.724238i | 0.0137781 | + | 0.0238644i | ||||
\(922\) | −11.4685 | − | 7.44014i | −0.377696 | − | 0.245028i | ||||
\(923\) | −24.7054 | + | 22.5883i | −0.813189 | + | 0.743502i | ||||
\(924\) | −1.78242 | + | 0.795580i | −0.0586372 | + | 0.0261727i | ||||
\(925\) | −19.2717 | + | 46.5760i | −0.633649 | + | 1.53141i | ||||
\(926\) | −11.8786 | − | 13.1802i | −0.390356 | − | 0.433127i | ||||
\(927\) | 15.0229 | − | 4.02537i | 0.493416 | − | 0.132211i | ||||
\(928\) | 3.09218 | + | 11.4332i | 0.101506 | + | 0.375313i | ||||
\(929\) | −37.7767 | − | 21.8104i | −1.23941 | − | 0.715576i | −0.270440 | − | 0.962737i | \(-0.587169\pi\) |
−0.968975 | + | 0.247161i | \(0.920502\pi\) | |||||||
\(930\) | −49.6993 | + | 21.3912i | −1.62970 | + | 0.701445i | ||||
\(931\) | 40.6026i | 1.33070i | ||||||||
\(932\) | 11.4016 | + | 14.0529i | 0.373473 | + | 0.460320i | ||||
\(933\) | −5.80663 | + | 21.6706i | −0.190100 | + | 0.709465i | ||||
\(934\) | 7.13478 | − | 6.43023i | 0.233457 | − | 0.210404i | ||||
\(935\) | −0.786104 | − | 0.0513742i | −0.0257084 | − | 0.00168011i | ||||
\(936\) | 37.1886 | + | 56.1493i | 1.21555 | + | 1.83530i | ||||
\(937\) | 18.8092 | − | 18.8092i | 0.614470 | − | 0.614470i | −0.329638 | − | 0.944107i | \(-0.606927\pi\) |
0.944107 | + | 0.329638i | \(0.106927\pi\) | |||||||
\(938\) | 0.810899 | + | 0.0421173i | 0.0264768 | + | 0.00137518i | ||||
\(939\) | 22.5225 | + | 39.0101i | 0.734994 | + | 1.27305i | ||||
\(940\) | 18.9932 | + | 3.24164i | 0.619490 | + | 0.105731i | ||||
\(941\) | 27.3829 | 0.892657 | 0.446329 | − | 0.894869i | \(-0.352731\pi\) | ||||
0.446329 | + | 0.894869i | \(0.352731\pi\) | |||||||
\(942\) | −5.32018 | − | 10.4294i | −0.173341 | − | 0.339808i | ||||
\(943\) | 0.692529 | + | 2.58455i | 0.0225518 | + | 0.0841646i | ||||
\(944\) | −2.22517 | + | 2.48061i | −0.0724230 | + | 0.0807370i | ||||
\(945\) | 25.0232 | − | 4.98236i | 0.814005 | − | 0.162076i | ||||
\(946\) | −1.82681 | + | 1.64642i | −0.0593948 | + | 0.0535296i | ||||
\(947\) | 3.83512 | − | 14.3129i | 0.124625 | − | 0.465106i | −0.875201 | − | 0.483759i | \(-0.839271\pi\) |
0.999826 | + | 0.0186529i | \(0.00593776\pi\) | |||||||
\(948\) | 74.9049 | + | 28.6730i | 2.43280 | + | 0.931255i | ||||
\(949\) | −23.7684 | + | 12.3397i | −0.771555 | + | 0.400565i | ||||
\(950\) | 31.2735 | − | 36.6794i | 1.01464 | − | 1.19004i | ||||
\(951\) | −34.6650 | + | 20.0139i | −1.12409 | + | 0.648994i | ||||
\(952\) | 3.08146 | − | 1.18782i | 0.0998708 | − | 0.0384976i | ||||
\(953\) | −1.70789 | + | 0.457629i | −0.0553241 | + | 0.0148240i | −0.286375 | − | 0.958118i | \(-0.592450\pi\) |
0.231051 | + | 0.972942i | \(0.425784\pi\) | |||||||
\(954\) | 1.30789 | − | 0.278641i | 0.0423446 | − | 0.00902133i | ||||
\(955\) | −9.52755 | + | 1.89703i | −0.308304 | + | 0.0613863i | ||||
\(956\) | −20.5898 | − | 2.14461i | −0.665920 | − | 0.0693616i | ||||
\(957\) | −1.41432 | + | 1.41432i | −0.0457186 | + | 0.0457186i | ||||
\(958\) | 23.9686 | − | 12.2267i | 0.774389 | − | 0.395027i | ||||
\(959\) | −4.28959 | − | 7.42978i | −0.138518 | − | 0.239920i | ||||
\(960\) | 54.8394 | − | 8.11910i | 1.76993 | − | 0.262043i | ||||
\(961\) | 0.516842 | 0.0166723 | ||||||||
\(962\) | 41.8296 | + | 29.8769i | 1.34864 | + | 0.963271i | ||||
\(963\) | 13.4003 | − | 13.4003i | 0.431820 | − | 0.431820i | ||||
\(964\) | −30.7261 | + | 42.3742i | −0.989623 | + | 1.36478i | ||||
\(965\) | −8.42577 | − | 17.0776i | −0.271235 | − | 0.549748i | ||||
\(966\) | 10.5319 | − | 32.4656i | 0.338860 | − | 1.04456i | ||||
\(967\) | 8.19662 | + | 8.19662i | 0.263585 | + | 0.263585i | 0.826509 | − | 0.562924i | \(-0.190323\pi\) |
−0.562924 | + | 0.826509i | \(0.690323\pi\) | |||||||
\(968\) | 23.9974 | + | 19.3771i | 0.771307 | + | 0.622803i | ||||
\(969\) | −20.9093 | − | 12.0720i | −0.671704 | − | 0.387809i | ||||
\(970\) | 8.38934 | − | 11.2501i | 0.269366 | − | 0.361219i | ||||
\(971\) | −21.4499 | − | 12.3841i | −0.688360 | − | 0.397425i | 0.114637 | − | 0.993407i | \(-0.463429\pi\) |
−0.802997 | + | 0.595983i | \(0.796763\pi\) | |||||||
\(972\) | −3.89040 | − | 24.4152i | −0.124785 | − | 0.783119i | ||||
\(973\) | −0.494045 | + | 1.84380i | −0.0158384 | + | 0.0591096i | ||||
\(974\) | 9.92065 | + | 46.5660i | 0.317878 | + | 1.49207i | ||||
\(975\) | 42.7718 | + | 35.9426i | 1.36980 | + | 1.15108i | ||||
\(976\) | 16.3634 | − | 18.2419i | 0.523779 | − | 0.583908i | ||||
\(977\) | 43.5959 | + | 11.6815i | 1.39475 | + | 0.373723i | 0.876458 | − | 0.481478i | \(-0.159900\pi\) |
0.518296 | + | 0.855201i | \(0.326566\pi\) | |||||||
\(978\) | −24.2279 | − | 1.25837i | −0.774723 | − | 0.0402384i | ||||
\(979\) | 1.93983 | − | 3.35988i | 0.0619972 | − | 0.107382i | ||||
\(980\) | −11.1248 | + | 24.2031i | −0.355368 | + | 0.773139i | ||||
\(981\) | 34.6833 | − | 60.0733i | 1.10735 | − | 1.91799i | ||||
\(982\) | 5.20780 | + | 10.2091i | 0.166188 | + | 0.325785i | ||||
\(983\) | 20.9021 | − | 20.9021i | 0.666674 | − | 0.666674i | −0.290270 | − | 0.956945i | \(-0.593745\pi\) |
0.956945 | + | 0.290270i | \(0.0937452\pi\) | |||||||
\(984\) | 3.05944 | − | 0.325899i | 0.0975313 | − | 0.0103893i | ||||
\(985\) | −46.1407 | + | 22.7650i | −1.47017 | + | 0.725352i | ||||
\(986\) | 2.51382 | − | 2.26558i | 0.0800563 | − | 0.0721508i | ||||
\(987\) | −9.64535 | − | 9.64535i | −0.307015 | − | 0.307015i | ||||
\(988\) | −29.2326 | − | 39.5195i | −0.930014 | − | 1.25728i | ||||
\(989\) | − | 43.0026i | − | 1.36740i | ||||||
\(990\) | 3.98879 | + | 5.05292i | 0.126772 | + | 0.160592i | ||||
\(991\) | 7.30688 | − | 4.21863i | 0.232111 | − | 0.134009i | −0.379435 | − | 0.925219i | \(-0.623882\pi\) |
0.611545 | + | 0.791209i | \(0.290548\pi\) | |||||||
\(992\) | 30.1870 | + | 8.01299i | 0.958437 | + | 0.254413i | ||||
\(993\) | −19.4449 | − | 19.4449i | −0.617066 | − | 0.617066i | ||||
\(994\) | 4.13916 | − | 12.7593i | 0.131286 | − | 0.404701i | ||||
\(995\) | 0.973552 | + | 4.88953i | 0.0308637 | + | 0.155008i | ||||
\(996\) | 6.84539 | − | 3.05543i | 0.216904 | − | 0.0968152i | ||||
\(997\) | 6.36755 | + | 23.7640i | 0.201662 | + | 0.752614i | 0.990441 | + | 0.137937i | \(0.0440471\pi\) |
−0.788779 | + | 0.614677i | \(0.789286\pi\) | |||||||
\(998\) | 0.922028 | − | 17.7521i | 0.0291863 | − | 0.561934i | ||||
\(999\) | −56.2976 | − | 97.5104i | −1.78118 | − | 3.08509i |
(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 | 260.2.bj.c.3.19 | ✓ | 144 | |
4.3 | odd | 2 | inner | 260.2.bj.c.3.24 | yes | 144 | |
5.2 | odd | 4 | inner | 260.2.bj.c.107.2 | yes | 144 | |
13.9 | even | 3 | inner | 260.2.bj.c.243.31 | yes | 144 | |
20.7 | even | 4 | inner | 260.2.bj.c.107.31 | yes | 144 | |
52.35 | odd | 6 | inner | 260.2.bj.c.243.2 | yes | 144 | |
65.22 | odd | 12 | inner | 260.2.bj.c.87.24 | yes | 144 | |
260.87 | even | 12 | inner | 260.2.bj.c.87.19 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.bj.c.3.19 | ✓ | 144 | 1.1 | even | 1 | trivial | |
260.2.bj.c.3.24 | yes | 144 | 4.3 | odd | 2 | inner | |
260.2.bj.c.87.19 | yes | 144 | 260.87 | even | 12 | inner | |
260.2.bj.c.87.24 | yes | 144 | 65.22 | odd | 12 | inner | |
260.2.bj.c.107.2 | yes | 144 | 5.2 | odd | 4 | inner | |
260.2.bj.c.107.31 | yes | 144 | 20.7 | even | 4 | inner | |
260.2.bj.c.243.2 | yes | 144 | 52.35 | odd | 6 | inner | |
260.2.bj.c.243.31 | yes | 144 | 13.9 | even | 3 | inner |