Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 14.5 | ||
Character | \(\chi\) | \(=\) | 69.14 |
Dual form | 69.2.g.a.5.5 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{21}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.417491 | + | 1.42184i | 0.295210 | + | 1.00539i | 0.964870 | + | 0.262726i | \(0.0846217\pi\) |
−0.669660 | + | 0.742668i | \(0.733560\pi\) | |||||||
\(3\) | 0.377345 | + | 1.69045i | 0.217860 | + | 0.975980i | ||||
\(4\) | −0.164830 | + | 0.105930i | −0.0824149 | + | 0.0529648i | ||||
\(5\) | −0.394240 | − | 2.74200i | −0.176309 | − | 1.22626i | −0.865213 | − | 0.501405i | \(-0.832817\pi\) |
0.688903 | − | 0.724853i | \(-0.258092\pi\) | |||||||
\(6\) | −2.24601 | + | 1.24227i | −0.916930 | + | 0.507155i | ||||
\(7\) | −3.84519 | − | 1.75604i | −1.45335 | − | 0.663721i | −0.476796 | − | 0.879014i | \(-0.658202\pi\) |
−0.976549 | + | 0.215293i | \(0.930929\pi\) | |||||||
\(8\) | 2.02041 | + | 1.75070i | 0.714324 | + | 0.618965i | ||||
\(9\) | −2.71522 | + | 1.27576i | −0.905074 | + | 0.425255i | ||||
\(10\) | 3.73410 | − | 1.70530i | 1.18082 | − | 0.539265i | ||||
\(11\) | 2.83853 | + | 0.833469i | 0.855850 | + | 0.251300i | 0.680086 | − | 0.733132i | \(-0.261942\pi\) |
0.175764 | + | 0.984432i | \(0.443760\pi\) | |||||||
\(12\) | −0.241266 | − | 0.238664i | −0.0696475 | − | 0.0688963i | ||||
\(13\) | −0.728021 | − | 1.59414i | −0.201917 | − | 0.442136i | 0.781402 | − | 0.624028i | \(-0.214505\pi\) |
−0.983318 | + | 0.181892i | \(0.941778\pi\) | |||||||
\(14\) | 0.891481 | − | 6.20039i | 0.238258 | − | 1.65712i | ||||
\(15\) | 4.48644 | − | 1.70112i | 1.15839 | − | 0.439227i | ||||
\(16\) | −1.80850 | + | 3.96006i | −0.452125 | + | 0.990016i | ||||
\(17\) | −2.46194 | − | 1.58219i | −0.597108 | − | 0.383738i | 0.206895 | − | 0.978363i | \(-0.433664\pi\) |
−0.804003 | + | 0.594625i | \(0.797300\pi\) | |||||||
\(18\) | −2.94751 | − | 3.32800i | −0.694736 | − | 0.784416i | ||||
\(19\) | 2.28200 | + | 3.55086i | 0.523526 | + | 0.814623i | 0.997837 | − | 0.0657346i | \(-0.0209391\pi\) |
−0.474311 | + | 0.880357i | \(0.657303\pi\) | |||||||
\(20\) | 0.355441 | + | 0.410201i | 0.0794791 | + | 0.0917237i | ||||
\(21\) | 1.51753 | − | 7.16272i | 0.331152 | − | 1.56303i | ||||
\(22\) | 4.38391i | 0.934654i | ||||||||
\(23\) | −1.93001 | + | 4.39034i | −0.402434 | + | 0.915449i | ||||
\(24\) | −2.19707 | + | 4.07602i | −0.448475 | + | 0.832013i | ||||
\(25\) | −2.56566 | + | 0.753345i | −0.513131 | + | 0.150669i | ||||
\(26\) | 1.96268 | − | 1.70067i | 0.384913 | − | 0.333529i | ||||
\(27\) | −3.18119 | − | 4.10853i | −0.612219 | − | 0.790688i | ||||
\(28\) | 0.819819 | − | 0.117872i | 0.154931 | − | 0.0222757i | ||||
\(29\) | 1.05713 | − | 1.64493i | 0.196304 | − | 0.305455i | −0.729122 | − | 0.684384i | \(-0.760071\pi\) |
0.925426 | + | 0.378929i | \(0.123708\pi\) | |||||||
\(30\) | 4.29177 | + | 5.66880i | 0.783566 | + | 1.03498i | ||||
\(31\) | 2.77045 | − | 3.19727i | 0.497587 | − | 0.574246i | −0.450290 | − | 0.892882i | \(-0.648679\pi\) |
0.947877 | + | 0.318636i | \(0.103225\pi\) | |||||||
\(32\) | −1.09326 | − | 0.157187i | −0.193263 | − | 0.0277870i | ||||
\(33\) | −0.337828 | + | 5.11290i | −0.0588083 | + | 0.890041i | ||||
\(34\) | 1.22179 | − | 4.16104i | 0.209535 | − | 0.713612i | ||||
\(35\) | −3.29913 | + | 11.2358i | −0.557655 | + | 1.89920i | ||||
\(36\) | 0.312408 | − | 0.497906i | 0.0520680 | − | 0.0829844i | ||||
\(37\) | −1.82024 | − | 0.261710i | −0.299245 | − | 0.0430249i | −0.00894295 | − | 0.999960i | \(-0.502847\pi\) |
−0.290302 | + | 0.956935i | \(0.593756\pi\) | |||||||
\(38\) | −4.09605 | + | 4.72709i | −0.664467 | + | 0.766836i | ||||
\(39\) | 2.42010 | − | 1.83222i | 0.387526 | − | 0.293391i | ||||
\(40\) | 4.00388 | − | 6.23016i | 0.633069 | − | 0.985075i | ||||
\(41\) | −5.70336 | + | 0.820019i | −0.890715 | + | 0.128065i | −0.572453 | − | 0.819937i | \(-0.694008\pi\) |
−0.318262 | + | 0.948003i | \(0.603099\pi\) | |||||||
\(42\) | 10.8178 | − | 0.832684i | 1.66923 | − | 0.128486i | ||||
\(43\) | −3.16627 | + | 2.74359i | −0.482852 | + | 0.418394i | −0.861974 | − | 0.506953i | \(-0.830772\pi\) |
0.379122 | + | 0.925347i | \(0.376226\pi\) | |||||||
\(44\) | −0.556164 | + | 0.163305i | −0.0838449 | + | 0.0246191i | ||||
\(45\) | 4.56859 | + | 6.94217i | 0.681045 | + | 1.03488i | ||||
\(46\) | −7.04813 | − | 0.911238i | −1.03919 | − | 0.134355i | ||||
\(47\) | 1.46762i | 0.214075i | 0.994255 | + | 0.107037i | \(0.0341364\pi\) | ||||
−0.994255 | + | 0.107037i | \(0.965864\pi\) | |||||||
\(48\) | −7.37670 | − | 1.56286i | −1.06474 | − | 0.225580i | ||||
\(49\) | 7.11779 | + | 8.21437i | 1.01683 | + | 1.17348i | ||||
\(50\) | −2.14227 | − | 3.33344i | −0.302963 | − | 0.471420i | ||||
\(51\) | 1.74561 | − | 4.75881i | 0.244434 | − | 0.666366i | ||||
\(52\) | 0.288867 | + | 0.185643i | 0.0400586 | + | 0.0257441i | ||||
\(53\) | 0.601594 | − | 1.31731i | 0.0826353 | − | 0.180946i | −0.863804 | − | 0.503828i | \(-0.831924\pi\) |
0.946439 | + | 0.322882i | \(0.104652\pi\) | |||||||
\(54\) | 4.51357 | − | 6.23842i | 0.614219 | − | 0.848941i | ||||
\(55\) | 1.16631 | − | 8.11184i | 0.157265 | − | 1.09380i | ||||
\(56\) | −4.69458 | − | 10.2797i | −0.627339 | − | 1.37368i | ||||
\(57\) | −5.14144 | + | 5.19750i | −0.681000 | + | 0.688425i | ||||
\(58\) | 2.78017 | + | 0.816330i | 0.365054 | + | 0.107189i | ||||
\(59\) | 11.0256 | − | 5.03522i | 1.43541 | − | 0.655530i | 0.462480 | − | 0.886630i | \(-0.346960\pi\) |
0.972930 | + | 0.231100i | \(0.0742324\pi\) | |||||||
\(60\) | −0.559299 | + | 0.755642i | −0.0722052 | + | 0.0975529i | ||||
\(61\) | −3.77012 | − | 3.26683i | −0.482714 | − | 0.418274i | 0.379211 | − | 0.925310i | \(-0.376196\pi\) |
−0.861925 | + | 0.507036i | \(0.830741\pi\) | |||||||
\(62\) | 5.70264 | + | 2.60431i | 0.724237 | + | 0.330748i | ||||
\(63\) | 12.6808 | − | 0.137517i | 1.59764 | − | 0.0173255i | ||||
\(64\) | 1.00620 | + | 6.99826i | 0.125775 | + | 0.874783i | ||||
\(65\) | −4.08412 | + | 2.62471i | −0.506573 | + | 0.325555i | ||||
\(66\) | −7.41077 | + | 1.65425i | −0.912203 | + | 0.203624i | ||||
\(67\) | −0.805931 | − | 2.74475i | −0.0984601 | − | 0.335324i | 0.895501 | − | 0.445060i | \(-0.146818\pi\) |
−0.993961 | + | 0.109736i | \(0.965000\pi\) | |||||||
\(68\) | 0.573402 | 0.0695352 | ||||||||
\(69\) | −8.14991 | − | 1.60590i | −0.981134 | − | 0.193328i | ||||
\(70\) | −17.3529 | −2.07407 | ||||||||
\(71\) | 0.527790 | + | 1.79749i | 0.0626371 | + | 0.213322i | 0.984865 | − | 0.173325i | \(-0.0554512\pi\) |
−0.922228 | + | 0.386648i | \(0.873633\pi\) | |||||||
\(72\) | −7.71934 | − | 2.17596i | −0.909733 | − | 0.256440i | ||||
\(73\) | 4.31676 | − | 2.77422i | 0.505239 | − | 0.324697i | −0.263070 | − | 0.964777i | \(-0.584735\pi\) |
0.768309 | + | 0.640079i | \(0.221099\pi\) | |||||||
\(74\) | −0.387820 | − | 2.69735i | −0.0450832 | − | 0.313561i | ||||
\(75\) | −2.24163 | − | 4.05284i | −0.258841 | − | 0.467981i | ||||
\(76\) | −0.752283 | − | 0.343556i | −0.0862927 | − | 0.0394086i | ||||
\(77\) | −9.45110 | − | 8.18943i | −1.07705 | − | 0.933272i | ||||
\(78\) | 3.61550 | + | 2.67607i | 0.409375 | + | 0.303005i | ||||
\(79\) | 10.2464 | − | 4.67936i | 1.15281 | − | 0.526470i | 0.255036 | − | 0.966931i | \(-0.417913\pi\) |
0.897771 | + | 0.440462i | \(0.145185\pi\) | |||||||
\(80\) | 11.5715 | + | 3.39769i | 1.29373 | + | 0.379873i | ||||
\(81\) | 5.74485 | − | 6.92796i | 0.638317 | − | 0.769773i | ||||
\(82\) | −3.54704 | − | 7.76692i | −0.391704 | − | 0.857713i | ||||
\(83\) | −1.59653 | + | 11.1041i | −0.175242 | + | 1.21884i | 0.692351 | + | 0.721561i | \(0.256575\pi\) |
−0.867593 | + | 0.497275i | \(0.834334\pi\) | |||||||
\(84\) | 0.508611 | + | 1.34138i | 0.0554940 | + | 0.146357i | ||||
\(85\) | −3.36777 | + | 7.37439i | −0.365286 | + | 0.799865i | ||||
\(86\) | −5.22284 | − | 3.35652i | −0.563194 | − | 0.361943i | ||||
\(87\) | 3.17956 | + | 1.16632i | 0.340885 | + | 0.125042i | ||||
\(88\) | 4.27586 | + | 6.65337i | 0.455808 | + | 0.709251i | ||||
\(89\) | −0.0193058 | − | 0.0222801i | −0.00204641 | − | 0.00236168i | 0.754725 | − | 0.656041i | \(-0.227770\pi\) |
−0.756772 | + | 0.653679i | \(0.773225\pi\) | |||||||
\(90\) | −7.96333 | + | 9.39410i | −0.839409 | + | 0.990225i | ||||
\(91\) | 7.40822i | 0.776593i | ||||||||
\(92\) | −0.146945 | − | 0.928103i | −0.0153201 | − | 0.0967615i | ||||
\(93\) | 6.45022 | + | 3.47682i | 0.668857 | + | 0.360530i | ||||
\(94\) | −2.08673 | + | 0.612718i | −0.215229 | + | 0.0631971i | ||||
\(95\) | 8.83679 | − | 7.65712i | 0.906635 | − | 0.785604i | ||||
\(96\) | −0.146820 | − | 1.90741i | −0.0149847 | − | 0.194674i | ||||
\(97\) | 7.31394 | − | 1.05159i | 0.742618 | − | 0.106772i | 0.239387 | − | 0.970924i | \(-0.423054\pi\) |
0.503231 | + | 0.864152i | \(0.332144\pi\) | |||||||
\(98\) | −8.70793 | + | 13.5498i | −0.879634 | + | 1.36874i | ||||
\(99\) | −8.77056 | + | 1.35825i | −0.881474 | + | 0.136509i | ||||
\(100\) | 0.343095 | − | 0.395953i | 0.0343095 | − | 0.0395953i | ||||
\(101\) | 9.95033 | + | 1.43064i | 0.990095 | + | 0.142354i | 0.618284 | − | 0.785954i | \(-0.287828\pi\) |
0.371811 | + | 0.928309i | \(0.378737\pi\) | |||||||
\(102\) | 7.49505 | + | 0.495226i | 0.742120 | + | 0.0490346i | ||||
\(103\) | −0.702740 | + | 2.39331i | −0.0692430 | + | 0.235820i | −0.986842 | − | 0.161687i | \(-0.948306\pi\) |
0.917599 | + | 0.397507i | \(0.130125\pi\) | |||||||
\(104\) | 1.31996 | − | 4.49537i | 0.129433 | − | 0.440808i | ||||
\(105\) | −20.2384 | − | 1.33723i | −1.97507 | − | 0.130500i | ||||
\(106\) | 2.12416 | + | 0.305409i | 0.206317 | + | 0.0296639i | ||||
\(107\) | −1.12008 | + | 1.29264i | −0.108282 | + | 0.124964i | −0.807303 | − | 0.590137i | \(-0.799074\pi\) |
0.699021 | + | 0.715101i | \(0.253619\pi\) | |||||||
\(108\) | 0.959570 | + | 0.340227i | 0.0923346 | + | 0.0327383i | ||||
\(109\) | −9.99763 | + | 15.5566i | −0.957599 | + | 1.49005i | −0.0881049 | + | 0.996111i | \(0.528081\pi\) |
−0.869495 | + | 0.493943i | \(0.835555\pi\) | |||||||
\(110\) | 12.0207 | − | 1.72831i | 1.14613 | − | 0.164788i | ||||
\(111\) | −0.244449 | − | 3.17577i | −0.0232021 | − | 0.301430i | ||||
\(112\) | 13.9081 | − | 12.0514i | 1.31419 | − | 1.13875i | ||||
\(113\) | 5.76935 | − | 1.69403i | 0.542735 | − | 0.159361i | 0.00113750 | − | 0.999999i | \(-0.499638\pi\) |
0.541597 | + | 0.840638i | \(0.317820\pi\) | |||||||
\(114\) | −9.53652 | − | 5.14041i | −0.893177 | − | 0.481443i | ||||
\(115\) | 12.7992 | + | 3.56122i | 1.19353 | + | 0.332086i | ||||
\(116\) | 0.383114i | 0.0355712i | ||||||||
\(117\) | 4.01049 | + | 3.39967i | 0.370770 | + | 0.314300i | ||||
\(118\) | 11.7624 | + | 13.5745i | 1.08281 | + | 1.24963i | ||||
\(119\) | 6.68823 | + | 10.4071i | 0.613109 | + | 0.954016i | ||||
\(120\) | 12.0426 | + | 4.41743i | 1.09933 | + | 0.403254i | ||||
\(121\) | −1.89118 | − | 1.21539i | −0.171926 | − | 0.110490i | ||||
\(122\) | 3.07092 | − | 6.72438i | 0.278028 | − | 0.608797i | ||||
\(123\) | −3.53833 | − | 9.33179i | −0.319041 | − | 0.841419i | ||||
\(124\) | −0.117967 | + | 0.820477i | −0.0105937 | + | 0.0736810i | ||||
\(125\) | −2.67675 | − | 5.86126i | −0.239416 | − | 0.524247i | ||||
\(126\) | 5.48966 | + | 17.9727i | 0.489058 | + | 1.60114i | ||||
\(127\) | −17.7467 | − | 5.21089i | −1.57476 | − | 0.462392i | −0.626379 | − | 0.779518i | \(-0.715464\pi\) |
−0.948383 | + | 0.317126i | \(0.897282\pi\) | |||||||
\(128\) | −11.5397 | + | 5.27002i | −1.01998 | + | 0.465808i | ||||
\(129\) | −5.83267 | − | 4.31714i | −0.513538 | − | 0.380103i | ||||
\(130\) | −5.43700 | − | 4.71119i | −0.476857 | − | 0.413199i | ||||
\(131\) | −19.2511 | − | 8.79168i | −1.68198 | − | 0.768133i | −0.999300 | − | 0.0374111i | \(-0.988089\pi\) |
−0.682676 | − | 0.730721i | \(-0.739184\pi\) | |||||||
\(132\) | −0.485923 | − | 0.878544i | −0.0422942 | − | 0.0764674i | ||||
\(133\) | −2.53927 | − | 17.6610i | −0.220183 | − | 1.53140i | ||||
\(134\) | 3.56613 | − | 2.29181i | 0.308067 | − | 0.197982i | ||||
\(135\) | −10.0114 | + | 10.3425i | −0.861648 | + | 0.890145i | ||||
\(136\) | −2.20419 | − | 7.50679i | −0.189008 | − | 0.643702i | ||||
\(137\) | 16.5185 | 1.41127 | 0.705634 | − | 0.708576i | \(-0.250662\pi\) | ||||
0.705634 | + | 0.708576i | \(0.250662\pi\) | |||||||
\(138\) | −1.11918 | − | 12.2583i | −0.0952707 | − | 1.04350i | ||||
\(139\) | −19.7024 | −1.67114 | −0.835569 | − | 0.549385i | \(-0.814862\pi\) | ||||
−0.835569 | + | 0.549385i | \(0.814862\pi\) | |||||||
\(140\) | −0.646410 | − | 2.20147i | −0.0546316 | − | 0.186058i | ||||
\(141\) | −2.48094 | + | 0.553800i | −0.208933 | + | 0.0466384i | ||||
\(142\) | −2.33540 | + | 1.50087i | −0.195982 | + | 0.125950i | ||||
\(143\) | −0.737844 | − | 5.13182i | −0.0617016 | − | 0.429144i | ||||
\(144\) | −0.141625 | − | 13.0597i | −0.0118021 | − | 1.08831i | ||||
\(145\) | −4.92714 | − | 2.25015i | −0.409177 | − | 0.186865i | ||||
\(146\) | 5.74670 | + | 4.97955i | 0.475601 | + | 0.412110i | ||||
\(147\) | −11.2001 | + | 15.1319i | −0.923768 | + | 1.24806i | ||||
\(148\) | 0.327752 | − | 0.149679i | 0.0269410 | − | 0.0123036i | ||||
\(149\) | −16.3663 | − | 4.80559i | −1.34078 | − | 0.393689i | −0.468834 | − | 0.883286i | \(-0.655326\pi\) |
−0.871949 | + | 0.489597i | \(0.837144\pi\) | |||||||
\(150\) | 4.82663 | − | 4.87926i | 0.394093 | − | 0.398390i | ||||
\(151\) | 8.20669 | + | 17.9701i | 0.667851 | + | 1.46239i | 0.875021 | + | 0.484085i | \(0.160847\pi\) |
−0.207170 | + | 0.978305i | \(0.566425\pi\) | |||||||
\(152\) | −1.60590 | + | 11.1693i | −0.130256 | + | 0.905949i | ||||
\(153\) | 8.70321 | + | 1.15515i | 0.703613 | + | 0.0933883i | ||||
\(154\) | 7.69833 | − | 16.8570i | 0.620349 | − | 1.35837i | ||||
\(155\) | −9.85912 | − | 6.33607i | −0.791903 | − | 0.508925i | ||||
\(156\) | −0.204818 | + | 0.558365i | −0.0163986 | + | 0.0447050i | ||||
\(157\) | −2.16641 | − | 3.37100i | −0.172898 | − | 0.269035i | 0.743980 | − | 0.668202i | \(-0.232936\pi\) |
−0.916878 | + | 0.399167i | \(0.869299\pi\) | |||||||
\(158\) | 10.9311 | + | 12.6151i | 0.869630 | + | 1.00361i | ||||
\(159\) | 2.45385 | + | 0.519884i | 0.194603 | + | 0.0412295i | ||||
\(160\) | 3.05968i | 0.241889i | ||||||||
\(161\) | 15.1309 | − | 13.4925i | 1.19248 | − | 1.06336i | ||||
\(162\) | 12.2489 | + | 5.27592i | 0.962364 | + | 0.414515i | ||||
\(163\) | 12.7247 | − | 3.73631i | 0.996677 | − | 0.292651i | 0.257585 | − | 0.966256i | \(-0.417073\pi\) |
0.739092 | + | 0.673605i | \(0.235255\pi\) | |||||||
\(164\) | 0.853219 | − | 0.739318i | 0.0666252 | − | 0.0577311i | ||||
\(165\) | 14.1527 | − | 1.08938i | 1.10179 | − | 0.0848084i | ||||
\(166\) | −16.4548 | + | 2.36585i | −1.27714 | + | 0.183626i | ||||
\(167\) | 7.03865 | − | 10.9524i | 0.544667 | − | 0.847519i | −0.454396 | − | 0.890800i | \(-0.650145\pi\) |
0.999063 | + | 0.0432813i | \(0.0137812\pi\) | |||||||
\(168\) | 15.6058 | − | 11.8149i | 1.20401 | − | 0.911541i | ||||
\(169\) | 6.50191 | − | 7.50360i | 0.500147 | − | 0.577200i | ||||
\(170\) | −11.8912 | − | 1.70970i | −0.912016 | − | 0.131128i | ||||
\(171\) | −10.7262 | − | 6.73008i | −0.820252 | − | 0.514662i | ||||
\(172\) | 0.231268 | − | 0.787628i | 0.0176340 | − | 0.0600560i | ||||
\(173\) | 2.05902 | − | 7.01237i | 0.156544 | − | 0.533140i | −0.843448 | − | 0.537212i | \(-0.819478\pi\) |
0.999992 | + | 0.00407107i | \(0.00129587\pi\) | |||||||
\(174\) | −0.330881 | + | 5.00776i | −0.0250840 | + | 0.379637i | ||||
\(175\) | 11.1883 | + | 1.60864i | 0.845759 | + | 0.121602i | ||||
\(176\) | −8.43408 | + | 9.73344i | −0.635743 | + | 0.733686i | ||||
\(177\) | 12.6722 | + | 16.7382i | 0.952503 | + | 1.25812i | ||||
\(178\) | 0.0236187 | − | 0.0367515i | 0.00177030 | − | 0.00275464i | ||||
\(179\) | −2.84296 | + | 0.408756i | −0.212493 | + | 0.0305518i | −0.247739 | − | 0.968827i | \(-0.579688\pi\) |
0.0352463 | + | 0.999379i | \(0.488778\pi\) | |||||||
\(180\) | −1.48842 | − | 0.660328i | −0.110940 | − | 0.0492179i | ||||
\(181\) | 5.48347 | − | 4.75145i | 0.407583 | − | 0.353173i | −0.426811 | − | 0.904341i | \(-0.640363\pi\) |
0.834394 | + | 0.551168i | \(0.185818\pi\) | |||||||
\(182\) | −10.5333 | + | 3.09286i | −0.780782 | + | 0.229258i | ||||
\(183\) | 4.09976 | − | 7.60591i | 0.303063 | − | 0.562245i | ||||
\(184\) | −11.5856 | + | 5.49144i | −0.854099 | + | 0.404834i | ||||
\(185\) | 5.09426i | 0.374537i | ||||||||
\(186\) | −2.25058 | + | 10.6227i | −0.165021 | + | 0.778897i | ||||
\(187\) | −5.66959 | − | 6.54305i | −0.414601 | − | 0.478476i | ||||
\(188\) | −0.155465 | − | 0.241908i | −0.0113384 | − | 0.0176429i | ||||
\(189\) | 5.01752 | + | 21.3844i | 0.364971 | + | 1.55549i | ||||
\(190\) | 14.5765 | + | 9.36774i | 1.05749 | + | 0.679608i | ||||
\(191\) | −5.83330 | + | 12.7731i | −0.422082 | + | 0.924232i | 0.572463 | + | 0.819930i | \(0.305988\pi\) |
−0.994546 | + | 0.104301i | \(0.966739\pi\) | |||||||
\(192\) | −11.4505 | + | 4.34168i | −0.826369 | + | 0.313334i | ||||
\(193\) | 0.0595154 | − | 0.413939i | 0.00428401 | − | 0.0297960i | −0.987567 | − | 0.157197i | \(-0.949754\pi\) |
0.991851 | + | 0.127401i | \(0.0406634\pi\) | |||||||
\(194\) | 4.54869 | + | 9.96024i | 0.326577 | + | 0.715103i | ||||
\(195\) | −5.97805 | − | 5.91357i | −0.428097 | − | 0.423480i | ||||
\(196\) | −2.04337 | − | 0.599988i | −0.145955 | − | 0.0428563i | ||||
\(197\) | −4.27057 | + | 1.95030i | −0.304266 | + | 0.138953i | −0.561697 | − | 0.827343i | \(-0.689851\pi\) |
0.257431 | + | 0.966297i | \(0.417124\pi\) | |||||||
\(198\) | −5.59284 | − | 11.9033i | −0.397466 | − | 0.845930i | ||||
\(199\) | −6.12510 | − | 5.30743i | −0.434196 | − | 0.376233i | 0.410161 | − | 0.912013i | \(-0.365472\pi\) |
−0.844358 | + | 0.535780i | \(0.820018\pi\) | |||||||
\(200\) | −6.50256 | − | 2.96962i | −0.459801 | − | 0.209984i | ||||
\(201\) | 4.33574 | − | 2.39810i | 0.305819 | − | 0.169149i | ||||
\(202\) | 2.12002 | + | 14.7451i | 0.149164 | + | 1.03746i | ||||
\(203\) | −6.95342 | + | 4.46869i | −0.488034 | + | 0.313641i | ||||
\(204\) | 0.216370 | + | 0.969305i | 0.0151489 | + | 0.0678649i | ||||
\(205\) | 4.49698 | + | 15.3153i | 0.314083 | + | 1.06967i | ||||
\(206\) | −3.69630 | −0.257534 | ||||||||
\(207\) | −0.360643 | − | 14.3830i | −0.0250664 | − | 0.999686i | ||||
\(208\) | 7.62954 | 0.529013 | ||||||||
\(209\) | 3.51800 | + | 11.9812i | 0.243345 | + | 0.828758i | ||||
\(210\) | −6.54803 | − | 29.3341i | −0.451857 | − | 2.02425i | ||||
\(211\) | 7.52175 | − | 4.83394i | 0.517819 | − | 0.332782i | −0.255490 | − | 0.966812i | \(-0.582237\pi\) |
0.773309 | + | 0.634030i | \(0.218600\pi\) | |||||||
\(212\) | 0.0403813 | + | 0.280858i | 0.00277340 | + | 0.0192894i | ||||
\(213\) | −2.83940 | + | 1.57047i | −0.194552 | + | 0.107607i | ||||
\(214\) | −2.30554 | − | 1.05291i | −0.157604 | − | 0.0719752i | ||||
\(215\) | 8.77119 | + | 7.60028i | 0.598190 | + | 0.518335i | ||||
\(216\) | 0.765493 | − | 13.8702i | 0.0520852 | − | 0.943749i | ||||
\(217\) | −16.2674 | + | 7.42909i | −1.10430 | + | 0.504319i | ||||
\(218\) | −26.2930 | − | 7.72031i | −1.78078 | − | 0.522886i | ||||
\(219\) | 6.31857 | + | 6.25042i | 0.426970 | + | 0.422364i | ||||
\(220\) | 0.667042 | + | 1.46062i | 0.0449720 | + | 0.0984749i | ||||
\(221\) | −0.729898 | + | 5.07655i | −0.0490983 | + | 0.341486i | ||||
\(222\) | 4.41338 | − | 1.67342i | 0.296207 | − | 0.112313i | ||||
\(223\) | −8.19301 | + | 17.9402i | −0.548644 | + | 1.20136i | 0.408768 | + | 0.912639i | \(0.365959\pi\) |
−0.957412 | + | 0.288725i | \(0.906769\pi\) | |||||||
\(224\) | 3.92777 | + | 2.52422i | 0.262435 | + | 0.168657i | ||||
\(225\) | 6.00524 | − | 5.31867i | 0.400349 | − | 0.354578i | ||||
\(226\) | 4.81730 | + | 7.49586i | 0.320442 | + | 0.498617i | ||||
\(227\) | −3.30739 | − | 3.81693i | −0.219519 | − | 0.253338i | 0.635299 | − | 0.772266i | \(-0.280877\pi\) |
−0.854818 | + | 0.518928i | \(0.826331\pi\) | |||||||
\(228\) | 0.296893 | − | 1.40133i | 0.0196622 | − | 0.0928055i | ||||
\(229\) | − | 9.97662i | − | 0.659274i | −0.944108 | − | 0.329637i | \(-0.893074\pi\) | ||
0.944108 | − | 0.329637i | \(-0.106926\pi\) | |||||||
\(230\) | 0.280040 | + | 19.6852i | 0.0184653 | + | 1.29800i | ||||
\(231\) | 10.2775 | − | 19.0668i | 0.676208 | − | 1.25451i | ||||
\(232\) | 5.01560 | − | 1.47271i | 0.329290 | − | 0.0966884i | ||||
\(233\) | −4.25363 | + | 3.68579i | −0.278664 | + | 0.241464i | −0.782967 | − | 0.622063i | \(-0.786295\pi\) |
0.504303 | + | 0.863527i | \(0.331749\pi\) | |||||||
\(234\) | −3.15945 | + | 7.12161i | −0.206540 | + | 0.465555i | ||||
\(235\) | 4.02421 | − | 0.578595i | 0.262511 | − | 0.0377434i | ||||
\(236\) | −1.28397 | + | 1.99789i | −0.0835791 | + | 0.130052i | ||||
\(237\) | 11.7766 | + | 15.5552i | 0.764975 | + | 1.01042i | ||||
\(238\) | −12.0050 | + | 13.8545i | −0.778166 | + | 0.898052i | ||||
\(239\) | 11.6085 | + | 1.66905i | 0.750891 | + | 0.107962i | 0.507126 | − | 0.861872i | \(-0.330708\pi\) |
0.243766 | + | 0.969834i | \(0.421617\pi\) | |||||||
\(240\) | −1.37718 | + | 20.8430i | −0.0888964 | + | 1.34541i | ||||
\(241\) | 7.24804 | − | 24.6845i | 0.466887 | − | 1.59007i | −0.303720 | − | 0.952761i | \(-0.598229\pi\) |
0.770607 | − | 0.637310i | \(-0.219953\pi\) | |||||||
\(242\) | 0.938540 | − | 3.19637i | 0.0603316 | − | 0.205471i | ||||
\(243\) | 13.8791 | + | 7.09714i | 0.890347 | + | 0.455282i | ||||
\(244\) | 0.967482 | + | 0.139103i | 0.0619367 | + | 0.00890515i | ||||
\(245\) | 19.7177 | − | 22.7554i | 1.25972 | − | 1.45379i | ||||
\(246\) | 11.7911 | − | 8.92688i | 0.751774 | − | 0.569157i | ||||
\(247\) | 3.99924 | − | 6.22294i | 0.254465 | − | 0.395956i | ||||
\(248\) | 11.1949 | − | 1.60958i | 0.710876 | − | 0.102209i | ||||
\(249\) | −19.3734 | + | 1.49123i | −1.22774 | + | 0.0945031i | ||||
\(250\) | 7.21627 | − | 6.25293i | 0.456397 | − | 0.395470i | ||||
\(251\) | −16.4599 | + | 4.83306i | −1.03894 | + | 0.305060i | −0.756341 | − | 0.654178i | \(-0.773015\pi\) |
−0.282599 | + | 0.959238i | \(0.591196\pi\) | |||||||
\(252\) | −2.07561 | + | 1.36594i | −0.130751 | + | 0.0860464i | ||||
\(253\) | −9.13760 | + | 10.8535i | −0.574476 | + | 0.682356i | ||||
\(254\) | − | 27.4085i | − | 1.71976i | ||||||
\(255\) | −13.7368 | − | 2.91035i | −0.860233 | − | 0.182253i | ||||
\(256\) | −3.05083 | − | 3.52085i | −0.190677 | − | 0.220053i | ||||
\(257\) | −8.83789 | − | 13.7520i | −0.551292 | − | 0.857828i | 0.448053 | − | 0.894007i | \(-0.352118\pi\) |
−0.999345 | + | 0.0361792i | \(0.988481\pi\) | |||||||
\(258\) | 3.70320 | − | 10.0955i | 0.230551 | − | 0.628519i | ||||
\(259\) | 6.53958 | + | 4.20273i | 0.406350 | + | 0.261145i | ||||
\(260\) | 0.395151 | − | 0.865260i | 0.0245062 | − | 0.0536611i | ||||
\(261\) | −0.771804 | + | 5.81498i | −0.0477735 | + | 0.359938i | ||||
\(262\) | 4.46323 | − | 31.0425i | 0.275739 | − | 1.91781i | ||||
\(263\) | −1.96245 | − | 4.29717i | −0.121010 | − | 0.264975i | 0.839427 | − | 0.543473i | \(-0.182891\pi\) |
−0.960437 | + | 0.278498i | \(0.910164\pi\) | |||||||
\(264\) | −9.63369 | + | 9.73873i | −0.592913 | + | 0.599377i | ||||
\(265\) | −3.84923 | − | 1.13023i | −0.236456 | − | 0.0694298i | ||||
\(266\) | 24.0511 | − | 10.9837i | 1.47466 | − | 0.673457i | ||||
\(267\) | 0.0303783 | − | 0.0410427i | 0.00185912 | − | 0.00251177i | ||||
\(268\) | 0.423592 | + | 0.367044i | 0.0258750 | + | 0.0224208i | ||||
\(269\) | 9.12385 | + | 4.16672i | 0.556291 | + | 0.254050i | 0.673663 | − | 0.739038i | \(-0.264720\pi\) |
−0.117372 | + | 0.993088i | \(0.537447\pi\) | |||||||
\(270\) | −18.8852 | − | 9.91677i | −1.14931 | − | 0.603515i | ||||
\(271\) | 1.73438 | + | 12.0629i | 0.105356 | + | 0.732767i | 0.972194 | + | 0.234177i | \(0.0752396\pi\) |
−0.866838 | + | 0.498590i | \(0.833851\pi\) | |||||||
\(272\) | 10.7180 | − | 6.88803i | 0.649874 | − | 0.417648i | ||||
\(273\) | −12.5232 | + | 2.79546i | −0.757939 | + | 0.169189i | ||||
\(274\) | 6.89631 | + | 23.4867i | 0.416621 | + | 1.41888i | ||||
\(275\) | −7.91060 | −0.477027 | ||||||||
\(276\) | 1.51346 | − | 0.598618i | 0.0910996 | − | 0.0360325i | ||||
\(277\) | 8.90032 | 0.534768 | 0.267384 | − | 0.963590i | \(-0.413841\pi\) | ||||
0.267384 | + | 0.963590i | \(0.413841\pi\) | |||||||
\(278\) | −8.22558 | − | 28.0137i | −0.493337 | − | 1.68015i | ||||
\(279\) | −3.44342 | + | 12.2157i | −0.206152 | + | 0.731336i | ||||
\(280\) | −26.3361 | + | 16.9252i | −1.57388 | + | 1.01147i | ||||
\(281\) | 1.53741 | + | 10.6929i | 0.0917140 | + | 0.637885i | 0.982885 | + | 0.184218i | \(0.0589752\pi\) |
−0.891171 | + | 0.453667i | \(0.850116\pi\) | |||||||
\(282\) | −1.82318 | − | 3.29629i | −0.108569 | − | 0.196291i | ||||
\(283\) | −15.8180 | − | 7.22383i | −0.940281 | − | 0.429412i | −0.114513 | − | 0.993422i | \(-0.536531\pi\) |
−0.825768 | + | 0.564010i | \(0.809258\pi\) | |||||||
\(284\) | −0.277403 | − | 0.240371i | −0.0164608 | − | 0.0142634i | ||||
\(285\) | 16.2785 | + | 12.0487i | 0.964254 | + | 0.713706i | ||||
\(286\) | 6.98859 | − | 3.19158i | 0.413244 | − | 0.188722i | ||||
\(287\) | 23.3705 | + | 6.86219i | 1.37952 | + | 0.405062i | ||||
\(288\) | 3.16898 | − | 0.967943i | 0.186734 | − | 0.0570366i | ||||
\(289\) | −3.50425 | − | 7.67323i | −0.206132 | − | 0.451366i | ||||
\(290\) | 1.14232 | − | 7.94503i | 0.0670795 | − | 0.466548i | ||||
\(291\) | 4.53753 | + | 11.9670i | 0.265995 | + | 0.701519i | ||||
\(292\) | −0.417659 | + | 0.914546i | −0.0244417 | + | 0.0535198i | ||||
\(293\) | 14.5612 | + | 9.35791i | 0.850674 | + | 0.546695i | 0.891785 | − | 0.452460i | \(-0.149453\pi\) |
−0.0411112 | + | 0.999155i | \(0.513090\pi\) | |||||||
\(294\) | −26.1911 | − | 9.60734i | −1.52750 | − | 0.560312i | ||||
\(295\) | −18.1533 | − | 28.2471i | −1.05693 | − | 1.64461i | ||||
\(296\) | −3.21945 | − | 3.71545i | −0.187127 | − | 0.215956i | ||||
\(297\) | −5.60557 | − | 14.3136i | −0.325268 | − | 0.830561i | ||||
\(298\) | − | 25.2766i | − | 1.46424i | ||||||
\(299\) | 8.40392 | − | 0.119553i | 0.486011 | − | 0.00691395i | ||||
\(300\) | 0.798802 | + | 0.430573i | 0.0461189 | + | 0.0248592i | ||||
\(301\) | 16.9928 | − | 4.98953i | 0.979448 | − | 0.287592i | ||||
\(302\) | −22.1245 | + | 19.1710i | −1.27312 | + | 1.10317i | ||||
\(303\) | 1.33628 | + | 17.3604i | 0.0767675 | + | 0.997326i | ||||
\(304\) | −18.1886 | + | 2.61513i | −1.04319 | + | 0.149988i | ||||
\(305\) | −7.47130 | + | 11.6256i | −0.427805 | + | 0.665678i | ||||
\(306\) | 1.99107 | + | 12.8569i | 0.113822 | + | 0.734977i | ||||
\(307\) | −21.3954 | + | 24.6916i | −1.22110 | + | 1.40922i | −0.337271 | + | 0.941408i | \(0.609504\pi\) |
−0.883827 | + | 0.467814i | \(0.845042\pi\) | |||||||
\(308\) | 2.42533 | + | 0.348709i | 0.138196 | + | 0.0198696i | ||||
\(309\) | −4.31094 | − | 0.284840i | −0.245241 | − | 0.0162040i | ||||
\(310\) | 4.89280 | − | 16.6634i | 0.277893 | − | 0.946415i | ||||
\(311\) | −4.42695 | + | 15.0768i | −0.251029 | + | 0.854928i | 0.733497 | + | 0.679693i | \(0.237887\pi\) |
−0.984527 | + | 0.175235i | \(0.943931\pi\) | |||||||
\(312\) | 8.09727 | + | 0.535017i | 0.458418 | + | 0.0302894i | ||||
\(313\) | 17.4391 | + | 2.50737i | 0.985718 | + | 0.141725i | 0.616277 | − | 0.787529i | \(-0.288640\pi\) |
0.369441 | + | 0.929254i | \(0.379549\pi\) | |||||||
\(314\) | 3.88858 | − | 4.48765i | 0.219445 | − | 0.253253i | ||||
\(315\) | −5.37636 | − | 34.7166i | −0.302924 | − | 1.95606i | ||||
\(316\) | −1.19322 | + | 1.85669i | −0.0671241 | + | 0.104447i | ||||
\(317\) | −26.1594 | + | 3.76115i | −1.46926 | + | 0.211247i | −0.830008 | − | 0.557752i | \(-0.811664\pi\) |
−0.639250 | + | 0.768999i | \(0.720755\pi\) | |||||||
\(318\) | 0.285266 | + | 3.70603i | 0.0159969 | + | 0.207824i | ||||
\(319\) | 4.37169 | − | 3.78809i | 0.244768 | − | 0.212092i | ||||
\(320\) | 18.7925 | − | 5.51799i | 1.05053 | − | 0.308465i | ||||
\(321\) | −2.60779 | − | 1.40566i | −0.145552 | − | 0.0784562i | ||||
\(322\) | 25.5012 | + | 15.8807i | 1.42113 | + | 0.884996i | ||||
\(323\) | − | 12.3526i | − | 0.687314i | ||||||
\(324\) | −0.213047 | + | 1.75048i | −0.0118359 | + | 0.0972492i | ||||
\(325\) | 3.06879 | + | 3.54158i | 0.170226 | + | 0.196451i | ||||
\(326\) | 10.6249 | + | 16.5327i | 0.588459 | + | 0.915659i | ||||
\(327\) | −30.0702 | − | 11.0303i | −1.66289 | − | 0.609974i | ||||
\(328\) | −12.9587 | − | 8.32808i | −0.715527 | − | 0.459841i | ||||
\(329\) | 2.57720 | − | 5.64329i | 0.142086 | − | 0.311124i | ||||
\(330\) | 7.45756 | + | 19.6681i | 0.410525 | + | 1.08270i | ||||
\(331\) | −2.15201 | + | 14.9676i | −0.118285 | + | 0.822692i | 0.841158 | + | 0.540789i | \(0.181874\pi\) |
−0.959443 | + | 0.281902i | \(0.909035\pi\) | |||||||
\(332\) | −0.913100 | − | 1.99941i | −0.0501129 | − | 0.109732i | ||||
\(333\) | 5.27622 | − | 1.61159i | 0.289135 | − | 0.0883145i | ||||
\(334\) | 18.5111 | + | 5.43535i | 1.01288 | + | 0.297409i | ||||
\(335\) | −7.20836 | + | 3.29195i | −0.393835 | + | 0.179858i | ||||
\(336\) | 25.6204 | + | 18.9633i | 1.39771 | + | 1.03453i | ||||
\(337\) | 7.43654 | + | 6.44380i | 0.405094 | + | 0.351016i | 0.833451 | − | 0.552594i | \(-0.186362\pi\) |
−0.428357 | + | 0.903610i | \(0.640907\pi\) | |||||||
\(338\) | 13.3834 | + | 6.11200i | 0.727962 | + | 0.332449i | ||||
\(339\) | 5.04071 | + | 9.11355i | 0.273774 | + | 0.494980i | ||||
\(340\) | −0.226058 | − | 1.57227i | −0.0122597 | − | 0.0852681i | ||||
\(341\) | 10.5288 | − | 6.76647i | 0.570168 | − | 0.366425i | ||||
\(342\) | 5.09103 | − | 18.0607i | 0.275291 | − | 0.976610i | ||||
\(343\) | −4.60795 | − | 15.6932i | −0.248806 | − | 0.847354i | ||||
\(344\) | −11.2004 | −0.603884 | ||||||||
\(345\) | −1.19035 | + | 22.9801i | −0.0640863 | + | 1.23721i | ||||
\(346\) | 10.8301 | 0.582230 | ||||||||
\(347\) | 3.45102 | + | 11.7531i | 0.185261 | + | 0.630939i | 0.998779 | + | 0.0494005i | \(0.0157311\pi\) |
−0.813519 | + | 0.581539i | \(0.802451\pi\) | |||||||
\(348\) | −0.647634 | + | 0.144566i | −0.0347168 | + | 0.00774956i | ||||
\(349\) | 12.3209 | − | 7.91816i | 0.659523 | − | 0.423849i | −0.167612 | − | 0.985853i | \(-0.553606\pi\) |
0.827135 | + | 0.562004i | \(0.189969\pi\) | |||||||
\(350\) | 2.38379 | + | 16.5797i | 0.127419 | + | 0.886220i | ||||
\(351\) | −4.23363 | + | 8.06237i | −0.225974 | + | 0.430337i | ||||
\(352\) | −2.97224 | − | 1.35738i | −0.158421 | − | 0.0723485i | ||||
\(353\) | 6.30721 | + | 5.46523i | 0.335699 | + | 0.290885i | 0.806355 | − | 0.591432i | \(-0.201437\pi\) |
−0.470656 | + | 0.882317i | \(0.655983\pi\) | |||||||
\(354\) | −18.5085 | + | 25.0059i | −0.983716 | + | 1.32905i | ||||
\(355\) | 4.72063 | − | 2.15584i | 0.250545 | − | 0.114420i | ||||
\(356\) | 0.00554229 | + | 0.00162736i | 0.000293741 | + | 8.62500e-5i | ||||
\(357\) | −15.0689 | + | 15.2332i | −0.797529 | + | 0.806224i | ||||
\(358\) | −1.76809 | − | 3.87159i | −0.0934467 | − | 0.204620i | ||||
\(359\) | 4.59315 | − | 31.9461i | 0.242417 | − | 1.68605i | −0.397498 | − | 0.917603i | \(-0.630122\pi\) |
0.639915 | − | 0.768445i | \(-0.278969\pi\) | |||||||
\(360\) | −2.92321 | + | 22.0243i | −0.154067 | + | 1.16078i | ||||
\(361\) | 0.491803 | − | 1.07690i | 0.0258844 | − | 0.0566789i | ||||
\(362\) | 9.04511 | + | 5.81294i | 0.475400 | + | 0.305521i | ||||
\(363\) | 1.34092 | − | 3.65556i | 0.0703801 | − | 0.191867i | ||||
\(364\) | −0.784751 | − | 1.22110i | −0.0411321 | − | 0.0640028i | ||||
\(365\) | −9.30873 | − | 10.7428i | −0.487241 | − | 0.562306i | ||||
\(366\) | 12.5260 | + | 2.65382i | 0.654745 | + | 0.138717i | ||||
\(367\) | 6.77506i | 0.353655i | 0.984242 | + | 0.176828i | \(0.0565835\pi\) | ||||
−0.984242 | + | 0.176828i | \(0.943416\pi\) | |||||||
\(368\) | −13.8956 | − | 15.5829i | −0.724358 | − | 0.812313i | ||||
\(369\) | 14.4397 | − | 9.50267i | 0.751702 | − | 0.494689i | ||||
\(370\) | −7.24323 | + | 2.12680i | −0.376558 | + | 0.110567i | ||||
\(371\) | −4.62649 | + | 4.00888i | −0.240195 | + | 0.208131i | ||||
\(372\) | −1.43149 | + | 0.110186i | −0.0742192 | + | 0.00571290i | ||||
\(373\) | −1.51816 | + | 0.218279i | −0.0786075 | + | 0.0113021i | −0.181506 | − | 0.983390i | \(-0.558097\pi\) |
0.102899 | + | 0.994692i | \(0.467188\pi\) | |||||||
\(374\) | 6.93619 | − | 10.7929i | 0.358662 | − | 0.558089i | ||||
\(375\) | 8.89809 | − | 6.73662i | 0.459495 | − | 0.347877i | ||||
\(376\) | −2.56936 | + | 2.96520i | −0.132505 | + | 0.152919i | ||||
\(377\) | −3.39186 | − | 0.487676i | −0.174690 | − | 0.0251166i | ||||
\(378\) | −28.3105 | + | 16.0619i | −1.45613 | + | 0.826135i | ||||
\(379\) | −1.06551 | + | 3.62878i | −0.0547314 | + | 0.186398i | −0.982322 | − | 0.187201i | \(-0.940058\pi\) |
0.927590 | + | 0.373599i | \(0.121877\pi\) | |||||||
\(380\) | −0.645450 | + | 2.19820i | −0.0331109 | + | 0.112765i | ||||
\(381\) | 2.11212 | − | 31.9661i | 0.108207 | − | 1.63767i | ||||
\(382\) | −20.5967 | − | 2.96136i | −1.05382 | − | 0.151516i | ||||
\(383\) | −7.42007 | + | 8.56322i | −0.379148 | + | 0.437560i | −0.912964 | − | 0.408041i | \(-0.866212\pi\) |
0.533816 | + | 0.845601i | \(0.320758\pi\) | |||||||
\(384\) | −13.2631 | − | 17.5187i | −0.676832 | − | 0.893997i | ||||
\(385\) | −18.7294 | + | 29.1435i | −0.954538 | + | 1.48529i | ||||
\(386\) | 0.613403 | − | 0.0881940i | 0.0312214 | − | 0.00448896i | ||||
\(387\) | 5.09696 | − | 11.4889i | 0.259093 | − | 0.584012i | ||||
\(388\) | −1.09416 | + | 0.948096i | −0.0555476 | + | 0.0481323i | ||||
\(389\) | 23.3028 | − | 6.84231i | 1.18150 | − | 0.346919i | 0.368746 | − | 0.929530i | \(-0.379787\pi\) |
0.812751 | + | 0.582611i | \(0.197969\pi\) | |||||||
\(390\) | 5.91239 | − | 10.9687i | 0.299385 | − | 0.555422i | ||||
\(391\) | 11.6979 | − | 7.75510i | 0.591589 | − | 0.392193i | ||||
\(392\) | 29.0575i | 1.46763i | ||||||||
\(393\) | 7.59756 | − | 35.8604i | 0.383246 | − | 1.80892i | ||||
\(394\) | −4.55595 | − | 5.25784i | −0.229525 | − | 0.264886i | ||||
\(395\) | −16.8703 | − | 26.2507i | −0.848838 | − | 1.32082i | ||||
\(396\) | 1.30177 | − | 1.15294i | 0.0654164 | − | 0.0579375i | ||||
\(397\) | 24.5634 | + | 15.7859i | 1.23280 | + | 0.792273i | 0.984325 | − | 0.176365i | \(-0.0564338\pi\) |
0.248476 | + | 0.968638i | \(0.420070\pi\) | |||||||
\(398\) | 4.98915 | − | 10.9247i | 0.250084 | − | 0.547607i | ||||
\(399\) | 28.8968 | − | 10.9568i | 1.44665 | − | 0.548526i | ||||
\(400\) | 1.65670 | − | 11.5226i | 0.0828349 | − | 0.576129i | ||||
\(401\) | 14.4481 | + | 31.6370i | 0.721504 | + | 1.57987i | 0.811784 | + | 0.583958i | \(0.198497\pi\) |
−0.0902795 | + | 0.995916i | \(0.528776\pi\) | |||||||
\(402\) | 5.21985 | + | 5.16355i | 0.260342 | + | 0.257534i | ||||
\(403\) | −7.11385 | − | 2.08881i | −0.354366 | − | 0.104051i | ||||
\(404\) | −1.79166 | + | 0.818223i | −0.0891383 | + | 0.0407081i | ||||
\(405\) | −21.2613 | − | 13.0211i | −1.05648 | − | 0.647024i | ||||
\(406\) | −9.25676 | − | 8.02103i | −0.459405 | − | 0.398077i | ||||
\(407\) | −4.94867 | − | 2.25998i | −0.245297 | − | 0.112023i | ||||
\(408\) | 11.8581 | − | 6.55872i | 0.587063 | − | 0.324705i | ||||
\(409\) | 2.16799 | + | 15.0787i | 0.107200 | + | 0.745594i | 0.970535 | + | 0.240962i | \(0.0774629\pi\) |
−0.863334 | + | 0.504633i | \(0.831628\pi\) | |||||||
\(410\) | −19.8985 | + | 12.7880i | −0.982717 | + | 0.631554i | ||||
\(411\) | 6.23316 | + | 27.9236i | 0.307459 | + | 1.37737i | ||||
\(412\) | −0.137690 | − | 0.468930i | −0.00678352 | − | 0.0231025i | ||||
\(413\) | −51.2376 | −2.52124 | ||||||||
\(414\) | 20.2998 | − | 6.51753i | 0.997678 | − | 0.320319i | ||||
\(415\) | 31.0769 | 1.52550 | ||||||||
\(416\) | 0.545338 | + | 1.85725i | 0.0267374 | + | 0.0910591i | ||||
\(417\) | −7.43461 | − | 33.3059i | −0.364075 | − | 1.63100i | ||||
\(418\) | −15.5667 | + | 10.0041i | −0.761390 | + | 0.489316i | ||||
\(419\) | 0.415207 | + | 2.88783i | 0.0202842 | + | 0.141080i | 0.997447 | − | 0.0714131i | \(-0.0227509\pi\) |
−0.977163 | + | 0.212493i | \(0.931842\pi\) | |||||||
\(420\) | 3.47755 | − | 1.92344i | 0.169687 | − | 0.0938541i | ||||
\(421\) | −16.5533 | − | 7.55964i | −0.806758 | − | 0.368434i | −0.0310437 | − | 0.999518i | \(-0.509883\pi\) |
−0.775715 | + | 0.631084i | \(0.782610\pi\) | |||||||
\(422\) | 10.0134 | + | 8.67662i | 0.487443 | + | 0.422371i | ||||
\(423\) | −1.87234 | − | 3.98492i | −0.0910362 | − | 0.193753i | ||||
\(424\) | 3.52168 | − | 1.60830i | 0.171028 | − | 0.0781057i | ||||
\(425\) | 7.50842 | + | 2.20467i | 0.364212 | + | 0.106942i | ||||
\(426\) | −3.41839 | − | 3.38152i | −0.165621 | − | 0.163835i | ||||
\(427\) | 8.76015 | + | 19.1820i | 0.423933 | + | 0.928284i | ||||
\(428\) | 0.0476933 | − | 0.331714i | 0.00230534 | − | 0.0160340i | ||||
\(429\) | 8.39664 | − | 3.18375i | 0.405394 | − | 0.153713i | ||||
\(430\) | −7.14451 | + | 15.6443i | −0.344539 | + | 0.754435i | ||||
\(431\) | 1.83938 | + | 1.18210i | 0.0885999 | + | 0.0569397i | 0.584191 | − | 0.811616i | \(-0.301412\pi\) |
−0.495591 | + | 0.868556i | \(0.665048\pi\) | |||||||
\(432\) | 22.0232 | − | 5.16741i | 1.05959 | − | 0.248617i | ||||
\(433\) | −6.48284 | − | 10.0875i | −0.311546 | − | 0.484774i | 0.649805 | − | 0.760101i | \(-0.274850\pi\) |
−0.961351 | + | 0.275326i | \(0.911214\pi\) | |||||||
\(434\) | −17.3545 | − | 20.0281i | −0.833042 | − | 0.961382i | ||||
\(435\) | 1.94453 | − | 9.17815i | 0.0932329 | − | 0.440059i | ||||
\(436\) | − | 3.62324i | − | 0.173522i | ||||||
\(437\) | −19.9937 | + | 3.16557i | −0.956431 | + | 0.151430i | ||||
\(438\) | −6.24917 | + | 11.5935i | −0.298597 | + | 0.553959i | ||||
\(439\) | −8.99723 | + | 2.64182i | −0.429414 | + | 0.126087i | −0.489295 | − | 0.872118i | \(-0.662746\pi\) |
0.0598812 | + | 0.998206i | \(0.480928\pi\) | |||||||
\(440\) | 16.5578 | − | 14.3474i | 0.789362 | − | 0.683986i | ||||
\(441\) | −29.8060 | − | 13.2232i | −1.41933 | − | 0.629677i | ||||
\(442\) | −7.52278 | + | 1.08161i | −0.357822 | + | 0.0514471i | ||||
\(443\) | 15.2505 | − | 23.7302i | 0.724573 | − | 1.12746i | −0.262147 | − | 0.965028i | \(-0.584431\pi\) |
0.986720 | − | 0.162430i | \(-0.0519331\pi\) | |||||||
\(444\) | 0.376700 | + | 0.497567i | 0.0178774 | + | 0.0236135i | ||||
\(445\) | −0.0534807 | + | 0.0617201i | −0.00253523 | + | 0.00292581i | ||||
\(446\) | −28.9286 | − | 4.15931i | −1.36981 | − | 0.196949i | ||||
\(447\) | 1.94784 | − | 29.4798i | 0.0921296 | − | 1.39435i | ||||
\(448\) | 8.42021 | − | 28.6766i | 0.397817 | − | 1.35484i | ||||
\(449\) | 6.80581 | − | 23.1785i | 0.321186 | − | 1.09386i | −0.627756 | − | 0.778410i | \(-0.716026\pi\) |
0.948942 | − | 0.315450i | \(-0.102155\pi\) | |||||||
\(450\) | 10.0694 | + | 6.31800i | 0.474678 | + | 0.297834i | ||||
\(451\) | −16.8726 | − | 2.42592i | −0.794501 | − | 0.114232i | ||||
\(452\) | −0.771512 | + | 0.890373i | −0.0362889 | + | 0.0418796i | ||||
\(453\) | −27.2808 | + | 20.6539i | −1.28176 | + | 0.970406i | ||||
\(454\) | 4.04627 | − | 6.29611i | 0.189901 | − | 0.295491i | ||||
\(455\) | 20.3133 | − | 2.92062i | 0.952303 | − | 0.136921i | ||||
\(456\) | −19.4871 | + | 1.49998i | −0.912566 | + | 0.0702432i | ||||
\(457\) | −8.16813 | + | 7.07772i | −0.382089 | + | 0.331082i | −0.824636 | − | 0.565663i | \(-0.808620\pi\) |
0.442547 | + | 0.896745i | \(0.354075\pi\) | |||||||
\(458\) | 14.1852 | − | 4.16515i | 0.662830 | − | 0.194624i | ||||
\(459\) | 1.33139 | + | 15.1482i | 0.0621441 | + | 0.707058i | ||||
\(460\) | −2.48693 | + | 0.768817i | −0.115953 | + | 0.0358463i | ||||
\(461\) | 32.1350i | 1.49668i | 0.663317 | + | 0.748339i | \(0.269148\pi\) | ||||
−0.663317 | + | 0.748339i | \(0.730852\pi\) | |||||||
\(462\) | 31.4008 | + | 6.65271i | 1.46090 | + | 0.309512i | ||||
\(463\) | −3.26032 | − | 3.76261i | −0.151520 | − | 0.174863i | 0.674915 | − | 0.737895i | \(-0.264180\pi\) |
−0.826435 | + | 0.563032i | \(0.809635\pi\) | |||||||
\(464\) | 4.60219 | + | 7.16114i | 0.213651 | + | 0.332448i | ||||
\(465\) | 6.99050 | − | 19.0572i | 0.324177 | − | 0.883756i | ||||
\(466\) | −7.01646 | − | 4.50920i | −0.325031 | − | 0.208885i | ||||
\(467\) | −7.19669 | + | 15.7586i | −0.333023 | + | 0.729219i | −0.999872 | − | 0.0159737i | \(-0.994915\pi\) |
0.666849 | + | 0.745193i | \(0.267642\pi\) | |||||||
\(468\) | −1.02117 | − | 0.135537i | −0.0472038 | − | 0.00626521i | ||||
\(469\) | −1.72093 | + | 11.9693i | −0.0794652 | + | 0.552692i | ||||
\(470\) | 2.50274 | + | 5.48024i | 0.115443 | + | 0.252785i | ||||
\(471\) | 4.88101 | − | 4.93423i | 0.224905 | − | 0.227357i | ||||
\(472\) | 31.0914 | + | 9.12926i | 1.43110 | + | 0.420208i | ||||
\(473\) | −11.2743 | + | 5.14879i | −0.518392 | + | 0.236742i | ||||
\(474\) | −17.2004 | + | 23.2387i | −0.790042 | + | 1.06739i | ||||
\(475\) | −8.52985 | − | 7.39115i | −0.391376 | − | 0.339129i | ||||
\(476\) | −2.20484 | − | 1.00692i | −0.101059 | − | 0.0461519i | ||||
\(477\) | 0.0471115 | + | 4.34428i | 0.00215709 | + | 0.198911i | ||||
\(478\) | 2.47331 | + | 17.2023i | 0.113127 | + | 0.786813i | ||||
\(479\) | −27.3341 | + | 17.5666i | −1.24893 | + | 0.802637i | −0.986729 | − | 0.162376i | \(-0.948084\pi\) |
−0.262199 | + | 0.965014i | \(0.584448\pi\) | |||||||
\(480\) | −5.17223 | + | 1.15456i | −0.236079 | + | 0.0526981i | ||||
\(481\) | 0.907966 | + | 3.09225i | 0.0413997 | + | 0.140994i | ||||
\(482\) | 38.1235 | 1.73648 | ||||||||
\(483\) | 28.5180 | + | 20.4866i | 1.29761 | + | 0.932171i | ||||
\(484\) | 0.440469 | 0.0200213 | ||||||||
\(485\) | −5.76689 | − | 19.6402i | −0.261861 | − | 0.891816i | ||||
\(486\) | −4.29660 | + | 22.6969i | −0.194898 | + | 1.02955i | ||||
\(487\) | 17.7010 | − | 11.3758i | 0.802110 | − | 0.515485i | −0.0741939 | − | 0.997244i | \(-0.523638\pi\) |
0.876304 | + | 0.481759i | \(0.160002\pi\) | |||||||
\(488\) | −1.89797 | − | 13.2007i | −0.0859171 | − | 0.597566i | ||||
\(489\) | 11.1176 | + | 20.1006i | 0.502757 | + | 0.908980i | ||||
\(490\) | 40.5865 | + | 18.5352i | 1.83351 | + | 0.837337i | ||||
\(491\) | −11.6082 | − | 10.0586i | −0.523871 | − | 0.453937i | 0.352335 | − | 0.935874i | \(-0.385388\pi\) |
−0.876206 | + | 0.481937i | \(0.839933\pi\) | |||||||
\(492\) | 1.57174 | + | 1.16334i | 0.0708593 | + | 0.0524475i | ||||
\(493\) | −5.20517 | + | 2.37712i | −0.234429 | + | 0.107060i | ||||
\(494\) | 10.5177 | + | 3.08827i | 0.473213 | + | 0.138948i | ||||
\(495\) | 7.18201 | + | 23.5134i | 0.322807 | + | 1.05685i | ||||
\(496\) | 7.65102 | + | 16.7534i | 0.343541 | + | 0.752250i | ||||
\(497\) | 1.12701 | − | 7.83850i | 0.0505531 | − | 0.351605i | ||||
\(498\) | −10.2085 | − | 26.9233i | −0.457454 | − | 1.20646i | ||||
\(499\) | 16.1995 | − | 35.4719i | 0.725188 | − | 1.58794i | −0.0812999 | − | 0.996690i | \(-0.525907\pi\) |
0.806488 | − | 0.591251i | \(-0.201366\pi\) | |||||||
\(500\) | 1.06209 | + | 0.682563i | 0.0474981 | + | 0.0305251i | ||||
\(501\) | 21.1704 | + | 7.76565i | 0.945823 | + | 0.346944i | ||||
\(502\) | −13.7437 | − | 21.3856i | −0.613411 | − | 0.954487i | ||||
\(503\) | 12.3818 | + | 14.2894i | 0.552078 | + | 0.637132i | 0.961366 | − | 0.275273i | \(-0.0887683\pi\) |
−0.409288 | + | 0.912405i | \(0.634223\pi\) | |||||||
\(504\) | 25.8613 | + | 21.9225i | 1.15195 | + | 0.976504i | ||||
\(505\) | − | 27.8478i | − | 1.23921i | ||||||
\(506\) | −19.2469 | − | 8.46098i | −0.855628 | − | 0.376136i | ||||
\(507\) | 15.1379 | + | 8.15968i | 0.672298 | + | 0.362384i | ||||
\(508\) | 3.47717 | − | 1.02099i | 0.154274 | − | 0.0452991i | ||||
\(509\) | −26.3527 | + | 22.8348i | −1.16806 | + | 1.01213i | −0.168413 | + | 0.985717i | \(0.553864\pi\) |
−0.999651 | + | 0.0264164i | \(0.991590\pi\) | |||||||
\(510\) | −1.59694 | − | 20.7466i | −0.0707136 | − | 0.918677i | ||||
\(511\) | −21.4704 | + | 3.08698i | −0.949795 | + | 0.136560i | ||||
\(512\) | −9.98491 | + | 15.5368i | −0.441275 | + | 0.686637i | ||||
\(513\) | 7.32937 | − | 20.6716i | 0.323599 | − | 0.912674i | ||||
\(514\) | 15.8635 | − | 18.3074i | 0.699708 | − | 0.807506i | ||||
\(515\) | 6.83951 | + | 0.983372i | 0.301385 | + | 0.0433326i | ||||
\(516\) | 1.41871 | + | 0.0937395i | 0.0624553 | + | 0.00412665i | ||||
\(517\) | −1.22322 | + | 4.16590i | −0.0537970 | + | 0.183216i | ||||
\(518\) | −3.24541 | + | 11.0529i | −0.142595 | + | 0.485635i | ||||
\(519\) | 12.6310 | + | 0.834577i | 0.554439 | + | 0.0366338i | ||||
\(520\) | −12.8467 | − | 1.84707i | −0.563364 | − | 0.0809996i | ||||
\(521\) | −25.5329 | + | 29.4665i | −1.11862 | + | 1.29095i | −0.166221 | + | 0.986088i | \(0.553157\pi\) |
−0.952396 | + | 0.304864i | \(0.901389\pi\) | |||||||
\(522\) | −8.59021 | + | 1.33032i | −0.375983 | + | 0.0582264i | ||||
\(523\) | 2.40906 | − | 3.74857i | 0.105341 | − | 0.163913i | −0.784581 | − | 0.620026i | \(-0.787122\pi\) |
0.889922 | + | 0.456112i | \(0.150758\pi\) | |||||||
\(524\) | 4.10445 | − | 0.590131i | 0.179304 | − | 0.0257800i | ||||
\(525\) | 1.50254 | + | 19.5203i | 0.0655764 | + | 0.851936i | ||||
\(526\) | 5.29059 | − | 4.58433i | 0.230681 | − | 0.199886i | ||||
\(527\) | −11.8794 | + | 3.48809i | −0.517473 | + | 0.151944i | ||||
\(528\) | −19.6364 | − | 10.5845i | −0.854566 | − | 0.460631i | ||||
\(529\) | −15.5502 | − | 16.9468i | −0.676094 | − | 0.736816i | ||||
\(530\) | − | 5.94486i | − | 0.258228i | ||||||
\(531\) | −23.5132 | + | 27.7378i | −1.02039 | + | 1.20372i | ||||
\(532\) | 2.28937 | + | 2.64208i | 0.0992569 | + | 0.114549i | ||||
\(533\) | 5.45939 | + | 8.49498i | 0.236473 | + | 0.367959i | ||||
\(534\) | 0.0710389 | + | 0.0260582i | 0.00307415 | + | 0.00112765i | ||||
\(535\) | 3.98598 | + | 2.56163i | 0.172329 | + | 0.110749i | ||||
\(536\) | 3.17691 | − | 6.95647i | 0.137222 | − | 0.300474i | ||||
\(537\) | −1.76376 | − | 4.65163i | −0.0761117 | − | 0.200733i | ||||
\(538\) | −2.11530 | + | 14.7122i | −0.0911971 | + | 0.634290i | ||||
\(539\) | 13.3577 | + | 29.2492i | 0.575356 | + | 1.25985i | ||||
\(540\) | 0.554601 | − | 2.76527i | 0.0238662 | − | 0.118998i | ||||
\(541\) | −6.67303 | − | 1.95938i | −0.286896 | − | 0.0842403i | 0.135118 | − | 0.990829i | \(-0.456859\pi\) |
−0.422014 | + | 0.906589i | \(0.638677\pi\) | |||||||
\(542\) | −16.4274 | + | 7.50215i | −0.705618 | + | 0.322245i | ||||
\(543\) | 10.1012 | + | 7.47657i | 0.433485 | + | 0.320850i | ||||
\(544\) | 2.44284 | + | 2.11673i | 0.104736 | + | 0.0907541i | ||||
\(545\) | 46.5977 | + | 21.2804i | 1.99602 | + | 0.911554i | ||||
\(546\) | −9.20302 | − | 16.6390i | −0.393853 | − | 0.712081i | ||||
\(547\) | −0.551639 | − | 3.83674i | −0.0235864 | − | 0.164047i | 0.974624 | − | 0.223849i | \(-0.0718622\pi\) |
−0.998210 | + | 0.0598018i | \(0.980953\pi\) | |||||||
\(548\) | −2.72274 | + | 1.74980i | −0.116310 | + | 0.0747476i | ||||
\(549\) | 14.4044 | + | 4.06038i | 0.614765 | + | 0.173293i | ||||
\(550\) | −3.30260 | − | 11.2476i | −0.140823 | − | 0.479600i | ||||
\(551\) | 8.25326 | 0.351601 | ||||||||
\(552\) | −13.6547 | − | 17.5126i | −0.581184 | − | 0.745386i | ||||
\(553\) | −47.6164 | −2.02486 | ||||||||
\(554\) | 3.71580 | + | 12.6548i | 0.157869 | + | 0.537653i | ||||
\(555\) | −8.61157 | + | 1.92229i | −0.365541 | + | 0.0815968i | ||||
\(556\) | 3.24755 | − | 2.08707i | 0.137727 | − | 0.0885116i | ||||
\(557\) | −4.32350 | − | 30.0706i | −0.183192 | − | 1.27413i | −0.849154 | − | 0.528145i | \(-0.822888\pi\) |
0.665962 | − | 0.745986i | \(-0.268021\pi\) | |||||||
\(558\) | −18.8064 | + | 0.203946i | −0.796140 | + | 0.00863373i | ||||
\(559\) | 6.67879 | + | 3.05010i | 0.282483 | + | 0.129006i | ||||
\(560\) | −38.5280 | − | 33.3847i | −1.62811 | − | 1.41076i | ||||
\(561\) | 8.92129 | − | 12.0531i | 0.376657 | − | 0.508883i | ||||
\(562\) | −14.5618 | + | 6.65013i | −0.614251 | + | 0.280519i | ||||
\(563\) | 2.43658 | + | 0.715444i | 0.102689 | + | 0.0301524i | 0.332674 | − | 0.943042i | \(-0.392049\pi\) |
−0.229984 | + | 0.973194i | \(0.573867\pi\) | |||||||
\(564\) | 0.350268 | − | 0.354087i | 0.0147490 | − | 0.0149098i | ||||
\(565\) | −6.91954 | − | 15.1517i | −0.291107 | − | 0.637436i | ||||
\(566\) | 3.66729 | − | 25.5065i | 0.154148 | − | 1.07212i | ||||
\(567\) | −34.2558 | + | 16.5511i | −1.43861 | + | 0.695083i | ||||
\(568\) | −2.08050 | + | 4.55567i | −0.0872960 | + | 0.191151i | ||||
\(569\) | 24.3528 | + | 15.6506i | 1.02092 | + | 0.656107i | 0.940198 | − | 0.340629i | \(-0.110640\pi\) |
0.0807250 | + | 0.996736i | \(0.474276\pi\) | |||||||
\(570\) | −10.3353 | + | 28.1757i | −0.432898 | + | 1.18015i | ||||
\(571\) | 23.3159 | + | 36.2802i | 0.975739 | + | 1.51828i | 0.850380 | + | 0.526169i | \(0.176372\pi\) |
0.125359 | + | 0.992111i | \(0.459992\pi\) | |||||||
\(572\) | 0.665230 | + | 0.767717i | 0.0278147 | + | 0.0320998i | ||||
\(573\) | −23.7935 | − | 5.04100i | −0.993987 | − | 0.210591i | ||||
\(574\) | 36.0940i | 1.50654i | ||||||||
\(575\) | 1.64429 | − | 12.7181i | 0.0685717 | − | 0.530380i | ||||
\(576\) | −11.6602 | − | 17.7182i | −0.485841 | − | 0.738257i | ||||
\(577\) | −0.721392 | + | 0.211820i | −0.0300320 | + | 0.00881818i | −0.296714 | − | 0.954966i | \(-0.595891\pi\) |
0.266682 | + | 0.963785i | \(0.414073\pi\) | |||||||
\(578\) | 9.44713 | − | 8.18599i | 0.392949 | − | 0.340492i | ||||
\(579\) | 0.722199 | − | 0.0555901i | 0.0300136 | − | 0.00231025i | ||||
\(580\) | 1.05050 | − | 0.151039i | 0.0436195 | − | 0.00627154i | ||||
\(581\) | 25.6382 | − | 39.8939i | 1.06365 | − | 1.65508i | ||||
\(582\) | −15.1208 | + | 11.4478i | −0.626779 | + | 0.474525i | ||||
\(583\) | 2.80558 | − | 3.23781i | 0.116195 | − | 0.134097i | ||||
\(584\) | 13.5785 | + | 1.95229i | 0.561880 | + | 0.0807862i | ||||
\(585\) | 7.74079 | − | 12.3370i | 0.320042 | − | 0.510074i | ||||
\(586\) | −7.22631 | + | 24.6105i | −0.298516 | + | 1.01665i | ||||
\(587\) | 6.70510 | − | 22.8355i | 0.276749 | − | 0.942520i | −0.697413 | − | 0.716669i | \(-0.745666\pi\) |
0.974162 | − | 0.225851i | \(-0.0725162\pi\) | |||||||
\(588\) | 0.243192 | − | 3.68061i | 0.0100291 | − | 0.151786i | ||||
\(589\) | 17.6752 | + | 2.54131i | 0.728294 | + | 0.104713i | ||||
\(590\) | 32.5840 | − | 37.6040i | 1.34146 | − | 1.54813i | ||||
\(591\) | −4.90836 | − | 6.48323i | −0.201903 | − | 0.266685i | ||||
\(592\) | 4.32829 | − | 6.73494i | 0.177891 | − | 0.276804i | ||||
\(593\) | −18.5084 | + | 2.66110i | −0.760048 | + | 0.109278i | −0.511432 | − | 0.859324i | \(-0.670885\pi\) |
−0.248616 | + | 0.968602i | \(0.579976\pi\) | |||||||
\(594\) | 18.0115 | − | 13.9460i | 0.739019 | − | 0.572213i | ||||
\(595\) | 25.8994 | − | 22.4420i | 1.06177 | − | 0.920032i | ||||
\(596\) | 3.20671 | − | 0.941576i | 0.131352 | − | 0.0385685i | ||||
\(597\) | 6.66065 | − | 12.3569i | 0.272602 | − | 0.505733i | ||||
\(598\) | 3.67854 | + | 11.8991i | 0.150427 | + | 0.486592i | ||||
\(599\) | − | 26.6860i | − | 1.09036i | −0.838319 | − | 0.545180i | \(-0.816461\pi\) | ||
0.838319 | − | 0.545180i | \(-0.183539\pi\) | |||||||
\(600\) | 2.56628 | − | 12.1128i | 0.104768 | − | 0.494503i | ||||
\(601\) | 12.9575 | + | 14.9538i | 0.528549 | + | 0.609977i | 0.955750 | − | 0.294179i | \(-0.0950461\pi\) |
−0.427202 | + | 0.904156i | \(0.640501\pi\) | |||||||
\(602\) | 14.1886 | + | 22.0780i | 0.578286 | + | 0.899831i | ||||
\(603\) | 5.68993 | + | 6.42442i | 0.231712 | + | 0.261623i | ||||
\(604\) | −3.25628 | − | 2.09268i | −0.132496 | − | 0.0851501i | ||||
\(605\) | −2.58701 | + | 5.66477i | −0.105177 | + | 0.230305i | ||||
\(606\) | −24.1258 | + | 9.14777i | −0.980043 | + | 0.371603i | ||||
\(607\) | 1.87929 | − | 13.0707i | 0.0762780 | − | 0.530525i | −0.915476 | − | 0.402372i | \(-0.868186\pi\) |
0.991754 | − | 0.128153i | \(-0.0409049\pi\) | |||||||
\(608\) | −1.93667 | − | 4.24071i | −0.0785423 | − | 0.171984i | ||||
\(609\) | −10.1779 | − | 10.0681i | −0.412430 | − | 0.407982i | ||||
\(610\) | −19.6489 | − | 5.76944i | −0.795561 | − | 0.233598i | ||||
\(611\) | 2.33960 | − | 1.06846i | 0.0946501 | − | 0.0432253i | ||||
\(612\) | −1.55691 | + | 0.731525i | −0.0629345 | + | 0.0295701i | ||||
\(613\) | 16.4527 | + | 14.2564i | 0.664519 | + | 0.575809i | 0.920438 | − | 0.390889i | \(-0.127832\pi\) |
−0.255918 | + | 0.966698i | \(0.582378\pi\) | |||||||
\(614\) | −44.0399 | − | 20.1123i | −1.77730 | − | 0.811668i | ||||
\(615\) | −24.1928 | + | 13.3811i | −0.975548 | + | 0.539576i | ||||
\(616\) | −4.75792 | − | 33.0920i | −0.191702 | − | 1.33332i | ||||
\(617\) | 29.9898 | − | 19.2732i | 1.20734 | − | 0.775912i | 0.227130 | − | 0.973864i | \(-0.427066\pi\) |
0.980212 | + | 0.197953i | \(0.0634292\pi\) | |||||||
\(618\) | −1.39478 | − | 6.24840i | −0.0561063 | − | 0.251348i | ||||
\(619\) | 0.511967 | + | 1.74360i | 0.0205777 | + | 0.0700812i | 0.969142 | − | 0.246504i | \(-0.0792819\pi\) |
−0.948564 | + | 0.316585i | \(0.897464\pi\) | |||||||
\(620\) | 2.29625 | 0.0922198 | ||||||||
\(621\) | 24.1776 | − | 6.03699i | 0.970212 | − | 0.242256i | ||||
\(622\) | −23.2851 | −0.933646 | ||||||||
\(623\) | 0.0351097 | + | 0.119573i | 0.00140664 | + | 0.00479058i | ||||
\(624\) | 2.87897 | + | 12.8973i | 0.115251 | + | 0.516306i | ||||
\(625\) | −26.2637 | + | 16.8787i | −1.05055 | + | 0.675146i | ||||
\(626\) | 3.71559 | + | 25.8425i | 0.148505 | + | 1.03287i | ||||
\(627\) | −18.9261 | + | 10.4680i | −0.755836 | + | 0.418053i | ||||
\(628\) | 0.714178 | + | 0.326154i | 0.0284988 | + | 0.0130150i | ||||
\(629\) | 4.06723 | + | 3.52428i | 0.162171 | + | 0.140522i | ||||
\(630\) | 47.1169 | − | 22.1382i | 1.87718 | − | 0.882007i | ||||
\(631\) | −5.38259 | + | 2.45815i | −0.214278 | + | 0.0978573i | −0.519662 | − | 0.854372i | \(-0.673942\pi\) |
0.305385 | + | 0.952229i | \(0.401215\pi\) | |||||||
\(632\) | 28.8941 | + | 8.48406i | 1.14934 | + | 0.337478i | ||||
\(633\) | 11.0098 | + | 10.8911i | 0.437601 | + | 0.432881i | ||||
\(634\) | −16.2691 | − | 35.6243i | −0.646127 | − | 1.41482i | ||||
\(635\) | −7.29181 | + | 50.7157i | −0.289367 | + | 2.01259i | ||||
\(636\) | −0.459538 | + | 0.174243i | −0.0182219 | + | 0.00690918i | ||||
\(637\) | 7.91299 | − | 17.3270i | 0.313524 | − | 0.686522i | ||||
\(638\) | 7.21121 | + | 4.63436i | 0.285495 | + | 0.183476i | ||||
\(639\) | −3.72623 | − | 4.20724i | −0.147408 | − | 0.166436i | ||||
\(640\) | 18.9998 | + | 29.5642i | 0.751033 | + | 1.16863i | ||||
\(641\) | −2.35879 | − | 2.72219i | −0.0931665 | − | 0.107520i | 0.707252 | − | 0.706962i | \(-0.249935\pi\) |
−0.800418 | + | 0.599442i | \(0.795389\pi\) | |||||||
\(642\) | 0.909897 | − | 4.29471i | 0.0359108 | − | 0.169499i | ||||
\(643\) | 16.7291i | 0.659731i | 0.944028 | + | 0.329865i | \(0.107003\pi\) | ||||
−0.944028 | + | 0.329865i | \(0.892997\pi\) | |||||||
\(644\) | −1.06476 | + | 3.82678i | −0.0419573 | + | 0.150796i | ||||
\(645\) | −9.53810 | + | 17.6952i | −0.375562 | + | 0.696746i | ||||
\(646\) | 17.5634 | − | 5.15707i | 0.691022 | − | 0.202902i | ||||
\(647\) | 35.4551 | − | 30.7220i | 1.39388 | − | 1.20781i | 0.443677 | − | 0.896187i | \(-0.353674\pi\) |
0.950207 | − | 0.311620i | \(-0.100872\pi\) | |||||||
\(648\) | 23.7357 | − | 3.93984i | 0.932428 | − | 0.154771i | ||||
\(649\) | 35.4932 | − | 5.10316i | 1.39323 | − | 0.200316i | ||||
\(650\) | −3.75437 | + | 5.84191i | −0.147259 | + | 0.229139i | ||||
\(651\) | −18.6969 | − | 24.6959i | −0.732790 | − | 0.967908i | ||||
\(652\) | −1.70163 | + | 1.96378i | −0.0666408 | + | 0.0769076i | ||||
\(653\) | −8.61959 | − | 1.23931i | −0.337311 | − | 0.0484980i | −0.0284216 | − | 0.999596i | \(-0.509048\pi\) |
−0.308889 | + | 0.951098i | \(0.599957\pi\) | |||||||
\(654\) | 3.12926 | − | 47.3601i | 0.122364 | − | 1.85193i | ||||
\(655\) | −16.5172 | + | 56.2525i | −0.645381 | + | 2.19797i | ||||
\(656\) | 7.06719 | − | 24.0687i | 0.275928 | − | 0.939723i | ||||
\(657\) | −8.18172 | + | 13.0398i | −0.319199 | + | 0.508730i | ||||
\(658\) | 9.09982 | + | 1.30836i | 0.354748 | + | 0.0510051i | ||||
\(659\) | 19.1812 | − | 22.1363i | 0.747192 | − | 0.862306i | −0.247101 | − | 0.968990i | \(-0.579478\pi\) |
0.994293 | + | 0.106684i | \(0.0340232\pi\) | |||||||
\(660\) | −2.21739 | + | 1.67876i | −0.0863119 | + | 0.0653455i | ||||
\(661\) | 5.89778 | − | 9.17713i | 0.229397 | − | 0.356949i | −0.707405 | − | 0.706808i | \(-0.750134\pi\) |
0.936802 | + | 0.349860i | \(0.113771\pi\) | |||||||
\(662\) | −22.1800 | + | 3.18900i | −0.862048 | + | 0.123944i | ||||
\(663\) | −8.85707 | + | 0.681758i | −0.343980 | + | 0.0264773i | ||||
\(664\) | −22.6656 | + | 19.6399i | −0.879596 | + | 0.762174i | ||||
\(665\) | −47.4254 | + | 13.9253i | −1.83908 | + | 0.540002i | ||||
\(666\) | 4.49420 | + | 6.82913i | 0.174147 | + | 0.264624i | ||||
\(667\) | 5.18151 | + | 7.81587i | 0.200629 | + | 0.302632i | ||||
\(668\) | 2.55088i | 0.0986964i | ||||||||
\(669\) | −33.4185 | − | 7.08021i | −1.29203 | − | 0.273737i | ||||
\(670\) | −7.69005 | − | 8.87480i | −0.297093 | − | 0.342863i | ||||
\(671\) | −7.97881 | − | 12.4153i | −0.308019 | − | 0.479286i | ||||
\(672\) | −2.78494 | + | 7.59218i | −0.107431 | + | 0.292875i | ||||
\(673\) | −17.2168 | − | 11.0646i | −0.663660 | − | 0.426509i | 0.164975 | − | 0.986298i | \(-0.447246\pi\) |
−0.828635 | + | 0.559789i | \(0.810882\pi\) | |||||||
\(674\) | −6.05738 | + | 13.2638i | −0.233321 | + | 0.510903i | ||||
\(675\) | 11.2570 | + | 8.14456i | 0.433281 | + | 0.313484i | ||||
\(676\) | −0.276854 | + | 1.92556i | −0.0106482 | + | 0.0740601i | ||||
\(677\) | −14.0267 | − | 30.7142i | −0.539089 | − | 1.18044i | −0.961694 | − | 0.274127i | \(-0.911611\pi\) |
0.422604 | − | 0.906314i | \(-0.361116\pi\) | |||||||
\(678\) | −10.8536 | + | 10.9719i | −0.416829 | + | 0.421374i | ||||
\(679\) | −29.9701 | − | 8.80002i | −1.15015 | − | 0.337714i | ||||
\(680\) | −19.7146 | + | 9.00336i | −0.756021 | + | 0.345263i | ||||
\(681\) | 5.20429 | − | 7.03126i | 0.199429 | − | 0.269438i | ||||
\(682\) | 14.0165 | + | 12.1454i | 0.536721 | + | 0.465071i | ||||
\(683\) | 43.8393 | + | 20.0207i | 1.67746 | + | 0.766072i | 0.999521 | + | 0.0309563i | \(0.00985527\pi\) |
0.677942 | + | 0.735115i | \(0.262872\pi\) | |||||||
\(684\) | 2.48091 | − | 0.0269042i | 0.0948600 | − | 0.00102871i | ||||
\(685\) | −6.51224 | − | 45.2936i | −0.248820 | − | 1.73058i | ||||
\(686\) | 20.3895 | − | 13.1035i | 0.778475 | − | 0.500296i | ||||
\(687\) | 16.8649 | − | 3.76463i | 0.643438 | − | 0.143630i | ||||
\(688\) | −5.13859 | − | 17.5004i | −0.195907 | − | 0.667197i | ||||
\(689\) | −2.53795 | −0.0966883 | ||||||||
\(690\) | −33.1711 | + | 7.90150i | −1.26280 | + | 0.300805i | ||||
\(691\) | 18.0536 | 0.686793 | 0.343396 | − | 0.939191i | \(-0.388423\pi\) | ||||
0.343396 | + | 0.939191i | \(0.388423\pi\) | |||||||
\(692\) | 0.403430 | + | 1.37396i | 0.0153361 | + | 0.0522300i | ||||
\(693\) | 36.1096 | + | 10.1787i | 1.37169 | + | 0.386658i | ||||
\(694\) | −15.2703 | + | 9.81362i | −0.579652 | + | 0.372520i | ||||
\(695\) | 7.76748 | + | 54.0240i | 0.294637 | + | 2.04925i | ||||
\(696\) | 4.38216 | + | 7.92289i | 0.166105 | + | 0.300316i | ||||
\(697\) | 15.3387 | + | 7.00497i | 0.580996 | + | 0.265332i | ||||
\(698\) | 16.4022 | + | 14.2126i | 0.620834 | + | 0.537955i | ||||
\(699\) | −7.83572 | − | 5.79972i | −0.296374 | − | 0.219365i | ||||
\(700\) | −2.01458 | + | 0.920026i | −0.0761438 | + | 0.0347737i | ||||
\(701\) | −28.8420 | − | 8.46878i | −1.08935 | − | 0.319861i | −0.312736 | − | 0.949840i | \(-0.601245\pi\) |
−0.776612 | + | 0.629979i | \(0.783064\pi\) | |||||||
\(702\) | −13.2309 | − | 2.65358i | −0.499369 | − | 0.100153i | ||||
\(703\) | −3.22448 | − | 7.06062i | −0.121614 | − | 0.266296i | ||||
\(704\) | −2.97671 | + | 20.7034i | −0.112189 | + | 0.780291i | ||||
\(705\) | 2.49660 | + | 6.58439i | 0.0940274 | + | 0.247982i | ||||
\(706\) | −5.13749 | + | 11.2495i | −0.193352 | + | 0.423382i | ||||
\(707\) | −35.7487 | − | 22.9743i | −1.34447 | − | 0.864036i | ||||
\(708\) | −3.86183 | − | 1.41658i | −0.145136 | − | 0.0532385i | ||||
\(709\) | −12.8048 | − | 19.9247i | −0.480895 | − | 0.748287i | 0.513028 | − | 0.858372i | \(-0.328524\pi\) |
−0.993922 | + | 0.110086i | \(0.964888\pi\) | |||||||
\(710\) | 5.03608 | + | 5.81195i | 0.189001 | + | 0.218118i | ||||
\(711\) | −21.8514 | + | 25.7775i | −0.819492 | + | 0.966730i | ||||
\(712\) | − | 0.0788135i | − | 0.00295366i | ||||||
\(713\) | 8.69011 | + | 18.3339i | 0.325447 | + | 0.686612i | ||||
\(714\) | −27.9503 | − | 15.0658i | −1.04601 | − | 0.563825i | ||||
\(715\) | −13.7805 | + | 4.04633i | −0.515363 | + | 0.151324i | ||||
\(716\) | 0.425305 | − | 0.368529i | 0.0158944 | − | 0.0137726i | ||||
\(717\) | 1.55897 | + | 20.2534i | 0.0582208 | + | 0.756376i | ||||
\(718\) | 47.3398 | − | 6.80644i | 1.76671 | − | 0.254014i | ||||
\(719\) | −23.2508 | + | 36.1789i | −0.867108 | + | 1.34925i | 0.0690303 | + | 0.997615i | \(0.478009\pi\) |
−0.936138 | + | 0.351632i | \(0.885627\pi\) | |||||||
\(720\) | −35.7537 | + | 5.53697i | −1.33246 | + | 0.206351i | ||||
\(721\) | 6.90492 | − | 7.96871i | 0.257153 | − | 0.296770i | ||||
\(722\) | 1.73650 | + | 0.249671i | 0.0646259 | + | 0.00929181i | ||||
\(723\) | 44.4629 | + | 2.93783i | 1.65359 | + | 0.109259i | ||||
\(724\) | −0.400519 | + | 1.36404i | −0.0148852 | + | 0.0506942i | ||||
\(725\) | −1.47303 | + | 5.01670i | −0.0547071 | + | 0.186315i | ||||
\(726\) | 5.75745 | + | 0.380416i | 0.213679 | + | 0.0141186i | ||||
\(727\) | 33.5971 | + | 4.83053i | 1.24605 | + | 0.179154i | 0.733610 | − | 0.679571i | \(-0.237834\pi\) |
0.512436 | + | 0.858725i | \(0.328743\pi\) | |||||||
\(728\) | −12.9696 | + | 14.9677i | −0.480684 | + | 0.554739i | ||||
\(729\) | −6.76011 | + | 26.1400i | −0.250375 | + | 0.968149i | ||||
\(730\) | 11.3883 | − | 17.7206i | 0.421501 | − | 0.655868i | ||||
\(731\) | 12.1361 | − | 1.74490i | 0.448868 | − | 0.0645375i | ||||
\(732\) | 0.129928 | + | 1.68797i | 0.00480229 | + | 0.0623890i | ||||
\(733\) | −25.7483 | + | 22.3110i | −0.951034 | + | 0.824076i | −0.984504 | − | 0.175364i | \(-0.943890\pi\) |
0.0334698 | + | 0.999440i | \(0.489344\pi\) | |||||||
\(734\) | −9.63307 | + | 2.82852i | −0.355563 | + | 0.104403i | ||||
\(735\) | 45.9072 | + | 24.7450i | 1.69331 | + | 0.912734i | ||||
\(736\) | 2.80010 | − | 4.49641i | 0.103213 | − | 0.165740i | ||||
\(737\) | − | 8.46278i | − | 0.311731i | ||||||
\(738\) | 19.5397 | + | 16.5637i | 0.719268 | + | 0.609720i | ||||
\(739\) | −20.2268 | − | 23.3429i | −0.744054 | − | 0.858684i | 0.249924 | − | 0.968265i | \(-0.419594\pi\) |
−0.993978 | + | 0.109581i | \(0.965049\pi\) | |||||||
\(740\) | −0.539633 | − | 0.839685i | −0.0198373 | − | 0.0308674i | ||||
\(741\) | 12.0286 | + | 4.41231i | 0.441883 | + | 0.162090i | ||||
\(742\) | −7.63151 | − | 4.90447i | −0.280161 | − | 0.180049i | ||||
\(743\) | 2.06291 | − | 4.51715i | 0.0756809 | − | 0.165718i | −0.868010 | − | 0.496547i | \(-0.834601\pi\) |
0.943691 | + | 0.330829i | \(0.107328\pi\) | |||||||
\(744\) | 6.94525 | + | 18.3170i | 0.254625 | + | 0.671534i | ||||
\(745\) | −6.72466 | + | 46.7710i | −0.246372 | + | 1.71356i | ||||
\(746\) | −0.944177 | − | 2.06746i | −0.0345688 | − | 0.0756951i | ||||
\(747\) | −9.83129 | − | 32.1869i | −0.359708 | − | 1.17766i | ||||
\(748\) | 1.62762 | + | 0.477913i | 0.0595117 | + | 0.0174742i | ||||
\(749\) | 6.57682 | − | 3.00353i | 0.240312 | − | 0.109747i | ||||
\(750\) | 13.2933 | + | 9.83920i | 0.485402 | + | 0.359277i | ||||
\(751\) | −18.9001 | − | 16.3770i | −0.689673 | − | 0.597605i | 0.237881 | − | 0.971294i | \(-0.423547\pi\) |
−0.927554 | + | 0.373689i | \(0.878093\pi\) | |||||||
\(752\) | −5.81187 | − | 2.65419i | −0.211937 | − | 0.0967885i | ||||
\(753\) | −14.3811 | − | 26.0008i | −0.524076 | − | 0.947523i | ||||
\(754\) | −0.722671 | − | 5.02629i | −0.0263181 | − | 0.183047i | ||||
\(755\) | 46.0387 | − | 29.5873i | 1.67552 | − | 1.07679i | ||||
\(756\) | −3.09228 | − | 2.99328i | −0.112465 | − | 0.108865i | ||||
\(757\) | 14.9858 | + | 51.0368i | 0.544667 | + | 1.85496i | 0.518104 | + | 0.855317i | \(0.326638\pi\) |
0.0265624 | + | 0.999647i | \(0.491544\pi\) | |||||||
\(758\) | −5.60440 | −0.203561 | ||||||||
\(759\) | −21.7953 | − | 11.3511i | −0.791121 | − | 0.412019i | ||||
\(760\) | 31.2593 | 1.13389 | ||||||||
\(761\) | 1.30031 | + | 4.42845i | 0.0471362 | + | 0.160531i | 0.979698 | − | 0.200479i | \(-0.0642500\pi\) |
−0.932562 | + | 0.361011i | \(0.882432\pi\) | |||||||
\(762\) | 46.3326 | − | 10.3425i | 1.67845 | − | 0.374667i | ||||
\(763\) | 65.7609 | − | 42.2619i | 2.38070 | − | 1.52998i | ||||
\(764\) | −0.391553 | − | 2.72331i | −0.0141659 | − | 0.0985260i | ||||
\(765\) | −0.263733 | − | 24.3196i | −0.00953530 | − | 0.879276i | ||||
\(766\) | −15.2734 | − | 6.97511i | −0.551849 | − | 0.252021i | ||||
\(767\) | −16.0537 | − | 13.9106i | −0.579667 | − | 0.502284i | ||||
\(768\) | 4.80059 | − | 6.48584i | 0.173226 | − | 0.234038i | ||||
\(769\) | 31.4987 | − | 14.3850i | 1.13587 | − | 0.518735i | 0.243439 | − | 0.969916i | \(-0.421724\pi\) |
0.892433 | + | 0.451181i | \(0.148997\pi\) | |||||||
\(770\) | −49.2568 | − | 14.4631i | −1.77509 | − | 0.521214i | ||||
\(771\) | 19.9121 | − | 20.1292i | 0.717118 | − | 0.724937i | ||||
\(772\) | 0.0340385 | + | 0.0745339i | 0.00122507 | + | 0.00268253i | ||||
\(773\) | −1.11676 | + | 7.76721i | −0.0401669 | + | 0.279367i | −0.999999 | − | 0.00120701i | \(-0.999616\pi\) |
0.959832 | + | 0.280574i | \(0.0905249\pi\) | |||||||
\(774\) | 18.4633 | + | 2.45058i | 0.663649 | + | 0.0880841i | ||||
\(775\) | −4.69937 | + | 10.2902i | −0.168806 | + | 0.369635i | ||||
\(776\) | 16.6182 | + | 10.6799i | 0.596558 | + | 0.383384i | ||||
\(777\) | −4.63682 | + | 12.6407i | −0.166345 | + | 0.453482i | ||||
\(778\) | 19.4574 | + | 30.2763i | 0.697581 | + | 1.08546i | ||||
\(779\) | −15.9268 | − | 18.3805i | −0.570638 | − | 0.658551i | ||||
\(780\) | 1.61178 | + | 0.341480i | 0.0577111 | + | 0.0122269i | ||||
\(781\) | 5.54213i | 0.198313i | ||||||||
\(782\) | 15.9103 | + | 13.3949i | 0.568951 | + | 0.479001i | ||||
\(783\) | −10.1212 | + | 0.889561i | −0.361701 | + | 0.0317903i | ||||
\(784\) | −45.4020 | + | 13.3312i | −1.62150 | + | 0.476115i | ||||
\(785\) | −8.38919 | + | 7.26927i | −0.299423 | + | 0.259451i | ||||
\(786\) | 54.1598 | − | 4.16886i | 1.93182 | − | 0.148698i | ||||
\(787\) | 6.35590 | − | 0.913840i | 0.226563 | − | 0.0325749i | −0.0280981 | − | 0.999605i | \(-0.508945\pi\) |
0.254661 | + | 0.967030i | \(0.418036\pi\) | |||||||
\(788\) | 0.497322 | − | 0.773848i | 0.0177164 | − | 0.0275672i | ||||
\(789\) | 6.52362 | − | 4.93894i | 0.232247 | − | 0.175831i | ||||
\(790\) | 30.2812 | − | 34.9464i | 1.07736 | − | 1.24334i | ||||
\(791\) | −25.1591 | − | 3.61733i | −0.894553 | − | 0.128617i | ||||
\(792\) | −20.0980 | − | 12.6104i | −0.714152 | − | 0.448090i | ||||
\(793\) | −2.46307 | + | 8.38843i | −0.0874660 | + | 0.297882i | ||||
\(794\) | −12.1901 | + | 41.5157i | −0.432611 | + | 1.47334i | ||||
\(795\) | 0.458116 | − | 6.93340i | 0.0162477 | − | 0.245902i | ||||
\(796\) | 1.57181 | + | 0.225992i | 0.0557114 | + | 0.00801009i | ||||
\(797\) | 6.74371 | − | 7.78265i | 0.238874 | − | 0.275676i | −0.623636 | − | 0.781715i | \(-0.714345\pi\) |
0.862511 | + | 0.506039i | \(0.168891\pi\) | |||||||
\(798\) | 27.6430 | + | 36.5124i | 0.978551 | + | 1.29252i | ||||
\(799\) | 2.32206 | − | 3.61319i | 0.0821485 | − | 0.127826i | ||||
\(800\) | 2.92335 | − | 0.420314i | 0.103356 | − | 0.0148603i | ||||
\(801\) | 0.0808436 | + | 0.0358657i | 0.00285647 | + | 0.00126725i | ||||
\(802\) | −38.9508 | + | 33.7511i | −1.37540 | + | 1.19179i | ||||
\(803\) | 14.5655 | − | 4.27682i | 0.514005 | − | 0.150926i | ||||
\(804\) | −0.460629 | + | 0.854562i | −0.0162451 | + | 0.0301381i | ||||
\(805\) | −42.9616 | − | 36.1695i | −1.51420 | − | 1.27481i | ||||
\(806\) | − | 10.9868i | − | 0.386995i | ||||||
\(807\) | −3.60078 | + | 16.9957i | −0.126754 | + | 0.598276i | ||||
\(808\) | 17.5992 | + | 20.3105i | 0.619136 | + | 0.714521i | ||||
\(809\) | 6.84437 | + | 10.6500i | 0.240635 | + | 0.374436i | 0.940474 | − | 0.339865i | \(-0.110381\pi\) |
−0.699839 | + | 0.714300i | \(0.746745\pi\) | |||||||
\(810\) | 9.63756 | − | 35.6664i | 0.338629 | − | 1.25319i | ||||
\(811\) | −37.0963 | − | 23.8403i | −1.30263 | − | 0.837148i | −0.309132 | − | 0.951019i | \(-0.600038\pi\) |
−0.993495 | + | 0.113871i | \(0.963675\pi\) | |||||||
\(812\) | 0.672763 | − | 1.47315i | 0.0236094 | − | 0.0516973i | ||||
\(813\) | −19.7372 | + | 7.48374i | −0.692213 | + | 0.262466i | ||||
\(814\) | 1.14732 | − | 7.97976i | 0.0402134 | − | 0.279690i | ||||
\(815\) | −15.2615 | − | 33.4181i | −0.534589 | − | 1.17059i | ||||
\(816\) | 15.6882 | + | 15.5190i | 0.549198 | + | 0.543275i | ||||
\(817\) | −16.9675 | − | 4.98212i | −0.593619 | − | 0.174302i | ||||
\(818\) | −20.5344 | + | 9.37776i | −0.717970 | + | 0.327886i | ||||
\(819\) | −9.45114 | − | 20.1150i | −0.330250 | − | 0.702874i | ||||
\(820\) | −2.36358 | − | 2.04805i | −0.0825398 | − | 0.0715212i | ||||
\(821\) | 10.7406 | + | 4.90505i | 0.374848 | + | 0.171187i | 0.593925 | − | 0.804520i | \(-0.297577\pi\) |
−0.219077 | + | 0.975707i | \(0.570305\pi\) | |||||||
\(822\) | −37.1007 | + | 20.5204i | −1.29403 | + | 0.715732i | ||||
\(823\) | 0.622816 | + | 4.33178i | 0.0217100 | + | 0.150996i | 0.997793 | − | 0.0664021i | \(-0.0211520\pi\) |
−0.976083 | + | 0.217398i | \(0.930243\pi\) | |||||||
\(824\) | −5.60979 | + | 3.60519i | −0.195426 | + | 0.125593i | ||||
\(825\) | −2.98502 | − | 13.3724i | −0.103925 | − | 0.465569i | ||||
\(826\) | −21.3912 | − | 72.8517i | −0.744295 | − | 2.53484i | ||||
\(827\) | 21.7052 | 0.754765 | 0.377382 | − | 0.926058i | \(-0.376824\pi\) | ||||
0.377382 | + | 0.926058i | \(0.376824\pi\) | |||||||
\(828\) | 1.58303 | + | 2.33254i | 0.0550140 | + | 0.0810614i | ||||
\(829\) | −45.4309 | −1.57788 | −0.788941 | − | 0.614469i | \(-0.789370\pi\) | ||||
−0.788941 | + | 0.614469i | \(0.789370\pi\) | |||||||
\(830\) | 12.9743 | + | 44.1864i | 0.450345 | + | 1.53373i | ||||
\(831\) | 3.35849 | + | 15.0455i | 0.116505 | + | 0.521923i | ||||
\(832\) | 10.4237 | − | 6.69891i | 0.361377 | − | 0.232243i | ||||
\(833\) | −4.52686 | − | 31.4850i | −0.156846 | − | 1.09089i | ||||
\(834\) | 44.2519 | − | 24.4757i | 1.53232 | − | 0.847526i | ||||
\(835\) | −32.8062 | − | 14.9821i | −1.13531 | − | 0.518477i | ||||
\(836\) | −1.84904 | − | 1.60220i | −0.0639503 | − | 0.0554132i | ||||
\(837\) | −21.9494 | − | 1.21138i | −0.758682 | − | 0.0418714i | ||||
\(838\) | −3.93270 | + | 1.79600i | −0.135853 | + | 0.0620419i | ||||
\(839\) | −24.4701 | − | 7.18507i | −0.844802 | − | 0.248056i | −0.169438 | − | 0.985541i | \(-0.554195\pi\) |
−0.675364 | + | 0.737485i | \(0.736013\pi\) | |||||||
\(840\) | −38.5489 | − | 38.1331i | −1.33006 | − | 1.31572i | ||||
\(841\) | 10.4588 | + | 22.9015i | 0.360648 | + | 0.789708i | ||||
\(842\) | 3.83777 | − | 26.6923i | 0.132258 | − | 0.919876i | ||||
\(843\) | −17.4956 | + | 6.63381i | −0.602582 | + | 0.228481i | ||||
\(844\) | −0.727752 | + | 1.59355i | −0.0250502 | + | 0.0548524i | ||||
\(845\) | −23.1382 | − | 14.8700i | −0.795977 | − | 0.511543i | ||||
\(846\) | 4.88424 | − | 4.32583i | 0.167924 | − | 0.148725i | ||||
\(847\) | 5.13768 | + | 7.99439i | 0.176533 | + | 0.274690i | ||||
\(848\) | 4.12864 | + | 4.76470i | 0.141778 | + | 0.163621i | ||||
\(849\) | 6.24266 | − | 29.4653i | 0.214248 | − | 1.01125i | ||||
\(850\) | 11.5962i | 0.397747i | ||||||||
\(851\) | 4.66206 | − | 7.48635i | 0.159813 | − | 0.256629i | ||||
\(852\) | 0.301658 | − | 0.559637i | 0.0103346 | − | 0.0191729i | ||||
\(853\) | 29.1243 | − | 8.55167i | 0.997198 | − | 0.292804i | 0.257892 | − | 0.966174i | \(-0.416972\pi\) |
0.739306 | + | 0.673370i | \(0.235154\pi\) | |||||||
\(854\) | −23.6166 | + | 20.4639i | −0.808142 | + | 0.700259i | ||||
\(855\) | −14.2252 | + | 32.0644i | −0.486490 | + | 1.09658i | ||||
\(856\) | −4.52603 | + | 0.650745i | −0.154696 | + | 0.0222420i | ||||
\(857\) | −15.3608 | + | 23.9019i | −0.524715 | + | 0.816473i | −0.997919 | − | 0.0644800i | \(-0.979461\pi\) |
0.473204 | + | 0.880953i | \(0.343097\pi\) | |||||||
\(858\) | 8.03231 | + | 10.6095i | 0.274219 | + | 0.362203i | ||||
\(859\) | 4.97165 | − | 5.73759i | 0.169631 | − | 0.195764i | −0.664569 | − | 0.747227i | \(-0.731385\pi\) |
0.834199 | + | 0.551463i | \(0.185930\pi\) | |||||||
\(860\) | −2.25085 | − | 0.323623i | −0.0767533 | − | 0.0110355i | ||||
\(861\) | −2.78144 | + | 42.0960i | −0.0947911 | + | 1.43463i | ||||
\(862\) | −0.912833 | + | 3.10882i | −0.0310912 | + | 0.105887i | ||||
\(863\) | 12.9018 | − | 43.9394i | 0.439181 | − | 1.49571i | −0.381523 | − | 0.924360i | \(-0.624600\pi\) |
0.820704 | − | 0.571354i | \(-0.193582\pi\) | |||||||
\(864\) | 2.83205 | + | 4.99174i | 0.0963484 | + | 0.169822i | ||||
\(865\) | −20.0396 | − | 2.88126i | −0.681368 | − | 0.0979659i | ||||
\(866\) | 11.6363 | − | 13.4290i | 0.395418 | − | 0.456337i | ||||
\(867\) | 11.6489 | − | 8.81920i | 0.395617 | − | 0.299516i | ||||
\(868\) | 1.89440 | − | 2.94774i | 0.0643000 | − | 0.100053i | ||||
\(869\) | 32.9848 | − | 4.74250i | 1.11893 | − | 0.160878i | ||||
\(870\) | 13.8617 | − | 1.06698i | 0.469956 | − | 0.0361741i | ||||
\(871\) | −3.78879 | + | 3.28301i | −0.128378 | + | 0.111240i | ||||
\(872\) | −47.4343 | + | 13.9280i | −1.60633 | + | 0.471660i | ||||
\(873\) | −18.5174 | + | 12.1861i | −0.626719 | + | 0.412438i | ||||
\(874\) | −12.8481 | − | 27.1064i | −0.434595 | − | 0.916886i | ||||
\(875\) | 27.2381i | 0.920817i | ||||||||
\(876\) | −1.70359 | − | 0.360931i | −0.0575591 | − | 0.0121947i | ||||
\(877\) | −8.33729 | − | 9.62175i | −0.281530 | − | 0.324903i | 0.597318 | − | 0.802004i | \(-0.296233\pi\) |
−0.878848 | + | 0.477101i | \(0.841688\pi\) | |||||||
\(878\) | −7.51251 | − | 11.6897i | −0.253535 | − | 0.394508i | ||||
\(879\) | −10.3245 | + | 28.1461i | −0.348235 | + | 0.949343i | ||||
\(880\) | 30.0141 | + | 19.2889i | 1.01178 | + | 0.650229i | ||||
\(881\) | −5.71319 | + | 12.5101i | −0.192482 | + | 0.421477i | −0.981125 | − | 0.193374i | \(-0.938057\pi\) |
0.788643 | + | 0.614851i | \(0.210784\pi\) | |||||||
\(882\) | 6.35761 | − | 47.9000i | 0.214072 | − | 1.61288i | ||||
\(883\) | 4.81512 | − | 33.4899i | 0.162042 | − | 1.12702i | −0.732736 | − | 0.680512i | \(-0.761757\pi\) |
0.894778 | − | 0.446511i | \(-0.147334\pi\) | |||||||
\(884\) | −0.417449 | − | 0.914085i | −0.0140403 | − | 0.0307440i | ||||
\(885\) | 40.9001 | − | 41.3461i | 1.37484 | − | 1.38983i | ||||
\(886\) | 40.1076 | + | 11.7767i | 1.34744 | + | 0.395644i | ||||
\(887\) | 9.12703 | − | 4.16818i | 0.306456 | − | 0.139954i | −0.256251 | − | 0.966610i | \(-0.582487\pi\) |
0.562707 | + | 0.826657i | \(0.309760\pi\) | |||||||
\(888\) | 5.06592 | − | 6.84432i | 0.170001 | − | 0.229680i | ||||
\(889\) | 59.0888 | + | 51.2008i | 1.98178 | + | 1.71722i | ||||
\(890\) | −0.110084 | − | 0.0502736i | −0.00369002 | − | 0.00168518i | ||||
\(891\) | 22.0812 | − | 14.8771i | 0.739748 | − | 0.498402i | ||||
\(892\) | −0.549946 | − | 3.82496i | −0.0184136 | − | 0.128069i | ||||
\(893\) | −5.21132 | + | 3.34911i | −0.174390 | + | 0.112074i | ||||
\(894\) | 42.7288 | − | 9.53802i | 1.42907 | − | 0.318999i | ||||
\(895\) | 2.24161 | + | 7.63424i | 0.0749289 | + | 0.255184i | ||||
\(896\) | 53.6268 | 1.79155 | ||||||||
\(897\) | 3.37328 | + | 14.1613i | 0.112630 | + | 0.472831i | ||||
\(898\) | 35.7975 | 1.19458 | ||||||||
\(899\) | −2.33054 | − | 7.93710i | −0.0777280 | − | 0.264717i | ||||
\(900\) | −0.426437 | + | 1.51281i | −0.0142146 | + | 0.0504269i | ||||
\(901\) | −3.56532 | + | 2.29129i | −0.118778 | + | 0.0763340i | ||||
\(902\) | −3.59489 | − | 25.0030i | −0.119697 | − | 0.832510i | ||||
\(903\) | 14.8467 | + | 26.8426i | 0.494066 | + | 0.893266i | ||||
\(904\) | 14.6222 | + | 6.67774i | 0.486327 | + | 0.222098i | ||||
\(905\) | −15.1903 | − | 13.1624i | −0.504941 | − | 0.437534i | ||||
\(906\) | −40.7561 | − | 30.1662i | −1.35403 | − | 1.00221i | ||||
\(907\) | −32.8515 | + | 15.0028i | −1.09081 | + | 0.498158i | −0.877867 | − | 0.478905i | \(-0.841034\pi\) |
−0.212948 | + | 0.977064i | \(0.568307\pi\) | |||||||
\(908\) | 0.949482 | + | 0.278793i | 0.0315097 | + | 0.00925207i | ||||
\(909\) | −28.8425 | + | 8.80976i | −0.956646 | + | 0.292201i | ||||
\(910\) | 12.6333 | + | 27.6630i | 0.418789 | + | 0.917020i | ||||
\(911\) | 4.13639 | − | 28.7692i | 0.137045 | − | 0.953167i | −0.799011 | − | 0.601316i | \(-0.794643\pi\) |
0.936056 | − | 0.351851i | \(-0.114448\pi\) | |||||||
\(912\) | −11.2841 | − | 29.7601i | −0.373655 | − | 0.985455i | ||||
\(913\) | −13.7867 | + | 30.1888i | −0.456275 | + | 0.999102i | ||||
\(914\) | −13.4735 | − | 8.65891i | −0.445665 | − | 0.286411i | ||||
\(915\) | −22.4717 | − | 8.24298i | −0.742890 | − | 0.272505i | ||||
\(916\) | 1.05682 | + | 1.64444i | 0.0349183 | + | 0.0543340i | ||||
\(917\) | 58.5856 | + | 67.6114i | 1.93467 | + | 2.23272i | ||||
\(918\) | −20.9825 | + | 8.21726i | −0.692526 | + | 0.271210i | ||||
\(919\) | 55.0820i | 1.81699i | 0.417897 | + | 0.908494i | \(0.362767\pi\) | ||||
−0.417897 | + | 0.908494i | \(0.637233\pi\) | |||||||
\(920\) | 19.6250 | + | 29.6026i | 0.647017 | + | 0.975970i | ||||
\(921\) | −49.8132 | − | 26.8505i | −1.64140 | − | 0.884754i | ||||
\(922\) | −45.6909 | + | 13.4161i | −1.50475 | + | 0.441835i | ||||
\(923\) | 2.48121 | − | 2.14998i | 0.0816701 | − | 0.0707675i | ||||
\(924\) | 0.325710 | + | 4.23147i | 0.0107151 | + | 0.139205i | ||||
\(925\) | 4.86726 | − | 0.699806i | 0.160034 | − | 0.0230095i | ||||
\(926\) | 3.98869 | − | 6.20652i | 0.131076 | − | 0.203959i | ||||
\(927\) | −1.14521 | − | 7.39491i | −0.0376135 | − | 0.242881i | ||||
\(928\) | −1.41428 | + | 1.63216i | −0.0464259 | + | 0.0535784i | ||||
\(929\) | 15.3443 | + | 2.20618i | 0.503430 | + | 0.0723823i | 0.389351 | − | 0.921089i | \(-0.372699\pi\) |
0.114079 | + | 0.993472i | \(0.463608\pi\) | |||||||
\(930\) | 30.0148 | + | 1.98319i | 0.984224 | + | 0.0650313i | ||||
\(931\) | −12.9253 | + | 44.0195i | −0.423609 | + | 1.44268i | ||||
\(932\) | 0.310690 | − | 1.05811i | 0.0101770 | − | 0.0346596i | ||||
\(933\) | −27.1570 | − | 1.79437i | −0.889082 | − | 0.0587449i | ||||
\(934\) | −25.4107 | − | 3.65351i | −0.831464 | − | 0.119547i | ||||
\(935\) | −15.7059 | + | 18.1255i | −0.513636 | + | 0.592768i | ||||
\(936\) | 2.15105 | + | 13.8899i | 0.0703092 | + | 0.454005i | ||||
\(937\) | 20.4152 | − | 31.7667i | 0.666935 | − | 1.03777i | −0.328699 | − | 0.944435i | \(-0.606610\pi\) |
0.995635 | − | 0.0933372i | \(-0.0297534\pi\) | |||||||
\(938\) | −17.7370 | + | 2.55019i | −0.579133 | + | 0.0832667i | ||||
\(939\) | 2.34200 | + | 30.4261i | 0.0764281 | + | 0.992917i | ||||
\(940\) | −0.602020 | + | 0.521653i | −0.0196357 | + | 0.0170145i | ||||
\(941\) | 10.8560 | − | 3.18761i | 0.353895 | − | 0.103913i | −0.0999526 | − | 0.994992i | \(-0.531869\pi\) |
0.453848 | + | 0.891079i | \(0.350051\pi\) | |||||||
\(942\) | 9.05348 | + | 4.88004i | 0.294978 | + | 0.159000i | ||||
\(943\) | 7.40735 | − | 26.6223i | 0.241216 | − | 0.866942i | ||||
\(944\) | 52.7682i | 1.71746i | ||||||||
\(945\) | 56.6578 | − | 22.1886i | 1.84308 | − | 0.721795i | ||||
\(946\) | −12.0277 | − | 13.8807i | −0.391053 | − | 0.451299i | ||||
\(947\) | −22.3278 | − | 34.7428i | −0.725558 | − | 1.12899i | −0.986520 | − | 0.163641i | \(-0.947676\pi\) |
0.260962 | − | 0.965349i | \(-0.415960\pi\) | |||||||
\(948\) | −3.58890 | − | 1.31647i | −0.116562 | − | 0.0427569i | ||||
\(949\) | −7.56519 | − | 4.86186i | −0.245577 | − | 0.157822i | ||||
\(950\) | 6.94792 | − | 15.2138i | 0.225420 | − | 0.493602i | ||||
\(951\) | −16.2291 | − | 42.8018i | −0.526266 | − | 1.38794i | ||||
\(952\) | −4.70668 | + | 32.7357i | −0.152544 | + | 1.06097i | ||||
\(953\) | 17.9722 | + | 39.3536i | 0.582177 | + | 1.27479i | 0.940056 | + | 0.341021i | \(0.110773\pi\) |
−0.357879 | + | 0.933768i | \(0.616500\pi\) | |||||||
\(954\) | −6.15721 | + | 1.88068i | −0.199347 | + | 0.0608892i | ||||
\(955\) | 37.3236 | + | 10.9592i | 1.20776 | + | 0.354631i | ||||
\(956\) | −2.09023 | + | 0.954575i | −0.0676028 | + | 0.0308732i | ||||
\(957\) | 8.05321 | + | 5.96069i | 0.260323 | + | 0.192682i | ||||
\(958\) | −36.3886 | − | 31.5309i | −1.17566 | − | 1.01872i | ||||
\(959\) | −63.5167 | − | 29.0071i | −2.05106 | − | 0.936688i | ||||
\(960\) | 16.4191 | + | 29.6856i | 0.529925 | + | 0.958098i | ||||
\(961\) | 1.86462 | + | 12.9687i | 0.0601492 | + | 0.418347i | ||||
\(962\) | −4.01762 | + | 2.58197i | −0.129533 | + | 0.0832460i | ||||
\(963\) | 1.39215 | − | 4.93874i | 0.0448616 | − | 0.159149i | ||||
\(964\) | 1.42013 | + | 4.83653i | 0.0457394 | + | 0.155774i | ||||
\(965\) | −1.15848 | −0.0372928 | ||||||||
\(966\) | −17.2227 | + | 49.1010i | −0.554131 | + | 1.57980i | ||||
\(967\) | 8.99405 | 0.289229 | 0.144615 | − | 0.989488i | \(-0.453806\pi\) | ||||
0.144615 | + | 0.989488i | \(0.453806\pi\) | |||||||
\(968\) | −1.69319 | − | 5.76647i | −0.0544211 | − | 0.185341i | ||||
\(969\) | 20.8813 | − | 4.66117i | 0.670805 | − | 0.149739i | ||||
\(970\) | 25.5177 | − | 16.3992i | 0.819323 | − | 0.526547i | ||||
\(971\) | 0.0423427 | + | 0.294500i | 0.00135884 | + | 0.00945094i | 0.990490 | − | 0.137588i | \(-0.0439349\pi\) |
−0.989131 | + | 0.147039i | \(0.953026\pi\) | |||||||
\(972\) | −3.03949 | + | 0.300393i | −0.0974918 | + | 0.00963510i | ||||
\(973\) | 75.7596 | + | 34.5983i | 2.42874 | + | 1.10917i | ||||
\(974\) | 23.5645 | + | 20.4188i | 0.755056 | + | 0.654260i | ||||
\(975\) | −4.82885 | + | 6.52403i | −0.154647 | + | 0.208936i | ||||
\(976\) | 19.7551 | − | 9.02185i | 0.632345 | − | 0.288782i | ||||
\(977\) | 32.2659 | + | 9.47414i | 1.03228 | + | 0.303104i | 0.753637 | − | 0.657291i | \(-0.228298\pi\) |
0.278642 | + | 0.960395i | \(0.410116\pi\) | |||||||
\(978\) | −23.9383 | + | 24.1993i | −0.765464 | + | 0.773810i | ||||
\(979\) | −0.0362304 | − | 0.0793335i | −0.00115793 | − | 0.00253551i | ||||
\(980\) | −0.839587 | + | 5.83945i | −0.0268196 | + | 0.186534i | ||||
\(981\) | 7.29922 | − | 54.9943i | 0.233046 | − | 1.75583i | ||||
\(982\) | 9.45539 | − | 20.7044i | 0.301733 | − | 0.660704i | ||||
\(983\) | −29.1503 | − | 18.7337i | −0.929749 | − | 0.597513i | −0.0142782 | − | 0.999898i | \(-0.504545\pi\) |
−0.915471 | + | 0.402385i | \(0.868181\pi\) | |||||||
\(984\) | 9.18825 | − | 25.0486i | 0.292911 | − | 0.798521i | ||||
\(985\) | 7.03136 | + | 10.9410i | 0.224038 | + | 0.348609i | ||||
\(986\) | −5.55300 | − | 6.40851i | −0.176844 | − | 0.204088i | ||||
\(987\) | 10.5122 | + | 2.22716i | 0.334606 | + | 0.0708912i | ||||
\(988\) | 1.44936i | 0.0461104i | ||||||||
\(989\) | −5.93437 | − | 19.1962i | −0.188702 | − | 0.610402i | ||||
\(990\) | −30.4339 | + | 20.0283i | −0.967252 | + | 0.636541i | ||||
\(991\) | −9.31498 | + | 2.73512i | −0.295900 | + | 0.0868841i | −0.426313 | − | 0.904576i | \(-0.640188\pi\) |
0.130413 | + | 0.991460i | \(0.458370\pi\) | |||||||
\(992\) | −3.53139 | + | 3.05996i | −0.112122 | + | 0.0971540i | ||||
\(993\) | −26.1139 | + | 2.01008i | −0.828700 | + | 0.0637878i | ||||
\(994\) | 11.6156 | − | 1.67008i | 0.368425 | − | 0.0529716i | ||||
\(995\) | −12.1382 | + | 18.8874i | −0.384806 | + | 0.598770i | ||||
\(996\) | 3.03534 | − | 2.29801i | 0.0961785 | − | 0.0728154i | ||||
\(997\) | 0.373046 | − | 0.430518i | 0.0118145 | − | 0.0136346i | −0.749812 | − | 0.661651i | \(-0.769856\pi\) |
0.761626 | + | 0.648017i | \(0.224401\pi\) | |||||||
\(998\) | 57.1986 | + | 8.22391i | 1.81059 | + | 0.260323i | ||||
\(999\) | 4.71526 | + | 8.31105i | 0.149184 | + | 0.262950i |
(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 | 69.2.g.a.14.5 | yes | 60 | |
3.2 | odd | 2 | inner | 69.2.g.a.14.2 | yes | 60 | |
23.5 | odd | 22 | inner | 69.2.g.a.5.2 | ✓ | 60 | |
69.5 | even | 22 | inner | 69.2.g.a.5.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.g.a.5.2 | ✓ | 60 | 23.5 | odd | 22 | inner | |
69.2.g.a.5.5 | yes | 60 | 69.5 | even | 22 | inner | |
69.2.g.a.14.2 | yes | 60 | 3.2 | odd | 2 | inner | |
69.2.g.a.14.5 | yes | 60 | 1.1 | even | 1 | trivial |