Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.5 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | −1.69565 | + | 0.939914i | −0.978984 | + | 0.542660i | −0.891264 | − | 0.453485i | \(-0.850180\pi\) |
−0.0877205 | + | 0.996145i | \(0.527958\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | 1.96376 | − | 1.06941i | 0.878221 | − | 0.478256i | ||||
\(6\) | 1.86363 | − | 0.534386i | 0.760822 | − | 0.218162i | ||||
\(7\) | 4.14562 | + | 1.11082i | 1.56690 | + | 0.419849i | 0.934839 | − | 0.355072i | \(-0.115544\pi\) |
0.632058 | + | 0.774921i | \(0.282210\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | 0.402034 | − | 0.643389i | 0.134011 | − | 0.214463i | ||||
\(10\) | −2.15400 | + | 0.600253i | −0.681153 | + | 0.189817i | ||||
\(11\) | 2.60507 | + | 2.89322i | 0.785458 | + | 0.872339i | 0.994410 | − | 0.105587i | \(-0.0336721\pi\) |
−0.208953 | + | 0.977926i | \(0.567005\pi\) | |||||||
\(12\) | −1.93607 | + | 0.101465i | −0.558896 | + | 0.0292905i | ||||
\(13\) | 3.07690 | + | 3.29957i | 0.853379 | + | 0.915137i | 0.997224 | − | 0.0744629i | \(-0.0237242\pi\) |
−0.143844 | + | 0.989600i | \(0.545946\pi\) | |||||||
\(14\) | −3.78949 | − | 2.01491i | −1.01278 | − | 0.538507i | ||||
\(15\) | −2.32470 | + | 3.65912i | −0.600234 | + | 0.944780i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | −0.158925 | + | 0.138152i | −0.0385450 | + | 0.0335067i | −0.675118 | − | 0.737710i | \(-0.735907\pi\) |
0.636573 | + | 0.771217i | \(0.280352\pi\) | |||||||
\(18\) | −0.536461 | + | 0.536461i | −0.126445 | + | 0.126445i | ||||
\(19\) | −2.60155 | − | 3.49742i | −0.596837 | − | 0.802363i | ||||
\(20\) | 2.23382 | − | 0.100325i | 0.499496 | − | 0.0224334i | ||||
\(21\) | −8.07360 | + | 2.01297i | −1.76180 | + | 0.439267i | ||||
\(22\) | −1.88747 | − | 3.40508i | −0.402409 | − | 0.725966i | ||||
\(23\) | 2.91191 | + | 3.86424i | 0.607175 | + | 0.805749i | 0.993161 | − | 0.116756i | \(-0.0372496\pi\) |
−0.385985 | + | 0.922505i | \(0.626138\pi\) | |||||||
\(24\) | 1.90928 | + | 0.336657i | 0.389729 | + | 0.0687198i | ||||
\(25\) | 2.71272 | − | 4.20014i | 0.542543 | − | 0.840028i | ||||
\(26\) | −2.25580 | − | 3.90716i | −0.442399 | − | 0.766257i | ||||
\(27\) | 0.227417 | − | 4.33938i | 0.0437664 | − | 0.835113i | ||||
\(28\) | 3.23911 | + | 2.81571i | 0.612134 | + | 0.532120i | ||||
\(29\) | −5.12328 | + | 0.358254i | −0.951369 | + | 0.0665262i | −0.536999 | − | 0.843583i | \(-0.680442\pi\) |
−0.414369 | + | 0.910109i | \(0.635998\pi\) | |||||||
\(30\) | 3.08824 | − | 3.04239i | 0.563832 | − | 0.555462i | ||||
\(31\) | 3.73553 | − | 8.39014i | 0.670921 | − | 1.50691i | −0.181132 | − | 0.983459i | \(-0.557976\pi\) |
0.852053 | − | 0.523455i | \(-0.175357\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | −7.13667 | − | 2.45735i | −1.24233 | − | 0.427770i | ||||
\(34\) | 0.185929 | − | 0.0988604i | 0.0318866 | − | 0.0169544i | ||||
\(35\) | 9.32893 | − | 2.25200i | 1.57688 | − | 0.380658i | ||||
\(36\) | 0.643389 | − | 0.402034i | 0.107231 | − | 0.0670056i | ||||
\(37\) | −0.384150 | + | 0.753937i | −0.0631539 | + | 0.123946i | −0.920426 | − | 0.390918i | \(-0.872158\pi\) |
0.857272 | + | 0.514864i | \(0.172158\pi\) | |||||||
\(38\) | 1.74813 | + | 3.99300i | 0.283583 | + | 0.647750i | ||||
\(39\) | −8.31867 | − | 2.70290i | −1.33205 | − | 0.432810i | ||||
\(40\) | −2.19913 | − | 0.404746i | −0.347713 | − | 0.0639959i | ||||
\(41\) | −7.87940 | + | 6.15606i | −1.23056 | + | 0.961416i | −0.999932 | − | 0.0116272i | \(-0.996299\pi\) |
−0.230624 | + | 0.973043i | \(0.574077\pi\) | |||||||
\(42\) | 8.31949 | − | 0.145217i | 1.28373 | − | 0.0224075i | ||||
\(43\) | −1.03009 | + | 0.721279i | −0.157088 | + | 0.109994i | −0.649478 | − | 0.760381i | \(-0.725012\pi\) |
0.492390 | + | 0.870375i | \(0.336123\pi\) | |||||||
\(44\) | 1.07311 | + | 3.74240i | 0.161778 | + | 0.564187i | ||||
\(45\) | 0.101451 | − | 1.69340i | 0.0151234 | − | 0.252437i | ||||
\(46\) | −1.96801 | − | 4.42023i | −0.290168 | − | 0.651728i | ||||
\(47\) | 3.08981 | − | 3.55442i | 0.450695 | − | 0.518466i | −0.483443 | − | 0.875376i | \(-0.660614\pi\) |
0.934139 | + | 0.356910i | \(0.116170\pi\) | |||||||
\(48\) | −1.78461 | − | 0.757522i | −0.257586 | − | 0.109339i | ||||
\(49\) | 9.89008 | + | 5.71004i | 1.41287 | + | 0.815720i | ||||
\(50\) | −3.58801 | + | 3.48226i | −0.507422 | + | 0.492466i | ||||
\(51\) | 0.139631 | − | 0.383633i | 0.0195522 | − | 0.0537194i | ||||
\(52\) | 1.31906 | + | 4.31446i | 0.182921 | + | 0.598308i | ||||
\(53\) | 2.69482 | + | 7.82631i | 0.370161 | + | 1.07503i | 0.962953 | + | 0.269671i | \(0.0869148\pi\) |
−0.592791 | + | 0.805356i | \(0.701974\pi\) | |||||||
\(54\) | −1.19774 | + | 4.17700i | −0.162991 | + | 0.568418i | ||||
\(55\) | 8.20978 | + | 2.89570i | 1.10701 | + | 0.390457i | ||||
\(56\) | −2.52269 | − | 3.47219i | −0.337109 | − | 0.463991i | ||||
\(57\) | 7.69860 | + | 3.48516i | 1.01970 | + | 0.461621i | ||||
\(58\) | 5.07256 | + | 0.803414i | 0.666059 | + | 0.105493i | ||||
\(59\) | −3.01999 | + | 7.47473i | −0.393169 | + | 0.973127i | 0.592672 | + | 0.805444i | \(0.298073\pi\) |
−0.985841 | + | 0.167683i | \(0.946371\pi\) | |||||||
\(60\) | −3.69347 | + | 2.26971i | −0.476826 | + | 0.293019i | ||||
\(61\) | −8.98325 | − | 1.26251i | −1.15019 | − | 0.161648i | −0.461795 | − | 0.886987i | \(-0.652794\pi\) |
−0.688392 | + | 0.725338i | \(0.741683\pi\) | |||||||
\(62\) | −5.52716 | + | 7.33479i | −0.701950 | + | 0.931519i | ||||
\(63\) | 2.38137 | − | 2.22066i | 0.300024 | − | 0.279777i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | 9.57091 | + | 3.18910i | 1.18713 | + | 0.395559i | ||||
\(66\) | 6.40097 | + | 3.99977i | 0.787905 | + | 0.492338i | ||||
\(67\) | 12.7122 | − | 7.63825i | 1.55304 | − | 0.933161i | 0.558421 | − | 0.829558i | \(-0.311407\pi\) |
0.994619 | − | 0.103603i | \(-0.0330371\pi\) | |||||||
\(68\) | −0.203403 | + | 0.0545016i | −0.0246662 | + | 0.00660929i | ||||
\(69\) | −8.56963 | − | 3.81545i | −1.03166 | − | 0.459326i | ||||
\(70\) | −9.59642 | + | 0.0957295i | −1.14699 | + | 0.0114419i | ||||
\(71\) | −6.35258 | − | 6.57829i | −0.753912 | − | 0.780699i | 0.227260 | − | 0.973834i | \(-0.427023\pi\) |
−0.981172 | + | 0.193135i | \(0.938134\pi\) | |||||||
\(72\) | −0.717337 | + | 0.246999i | −0.0845389 | + | 0.0291091i | ||||
\(73\) | −6.17128 | + | 6.61789i | −0.722294 | + | 0.774566i | −0.981542 | − | 0.191245i | \(-0.938748\pi\) |
0.259248 | + | 0.965811i | \(0.416525\pi\) | |||||||
\(74\) | 0.543903 | − | 0.648199i | 0.0632275 | − | 0.0753516i | ||||
\(75\) | −0.652045 | + | 9.67169i | −0.0752917 | + | 1.11679i | ||||
\(76\) | −0.805092 | − | 4.28390i | −0.0923503 | − | 0.491397i | ||||
\(77\) | 7.58579 | + | 14.8879i | 0.864481 | + | 1.69664i | ||||
\(78\) | 7.49744 | + | 4.50492i | 0.848918 | + | 0.510082i | ||||
\(79\) | 1.75048 | + | 0.501942i | 0.196944 | + | 0.0564729i | 0.372659 | − | 0.927968i | \(-0.378446\pi\) |
−0.175715 | + | 0.984441i | \(0.556224\pi\) | |||||||
\(80\) | 2.05172 | + | 0.889069i | 0.229389 | + | 0.0994009i | ||||
\(81\) | 4.69076 | + | 9.61748i | 0.521196 | + | 1.06861i | ||||
\(82\) | 9.06227 | − | 4.22581i | 1.00076 | − | 0.466662i | ||||
\(83\) | 1.88787 | + | 4.91807i | 0.207220 | + | 0.539828i | 0.997321 | − | 0.0731495i | \(-0.0233050\pi\) |
−0.790100 | + | 0.612977i | \(0.789972\pi\) | |||||||
\(84\) | −8.13893 | − | 1.72998i | −0.888030 | − | 0.188757i | ||||
\(85\) | −0.164350 | + | 0.441253i | −0.0178263 | + | 0.0478606i | ||||
\(86\) | 1.16594 | − | 0.471072i | 0.125727 | − | 0.0507970i | ||||
\(87\) | 8.35056 | − | 5.42292i | 0.895274 | − | 0.581398i | ||||
\(88\) | −0.203755 | − | 3.88788i | −0.0217204 | − | 0.414449i | ||||
\(89\) | 4.42816 | − | 5.66779i | 0.469384 | − | 0.600785i | −0.493817 | − | 0.869566i | \(-0.664399\pi\) |
0.963201 | + | 0.268781i | \(0.0866209\pi\) | |||||||
\(90\) | −0.479783 | + | 1.62718i | −0.0505736 | + | 0.171520i | ||||
\(91\) | 9.09045 | + | 17.0967i | 0.952938 | + | 1.79222i | ||||
\(92\) | 0.923238 | + | 4.74965i | 0.0962542 | + | 0.495185i | ||||
\(93\) | 1.55186 | + | 17.7378i | 0.160920 | + | 1.83933i | ||||
\(94\) | −3.81019 | + | 2.76827i | −0.392991 | + | 0.285525i | ||||
\(95\) | −8.84901 | − | 4.08596i | −0.907889 | − | 0.419211i | ||||
\(96\) | 1.56846 | + | 1.13956i | 0.160081 | + | 0.116305i | ||||
\(97\) | 0.0935808 | − | 0.155745i | 0.00950169 | − | 0.0158135i | −0.852380 | − | 0.522923i | \(-0.824842\pi\) |
0.861882 | + | 0.507109i | \(0.169286\pi\) | |||||||
\(98\) | −8.35212 | − | 7.78848i | −0.843691 | − | 0.786755i | ||||
\(99\) | 2.90879 | − | 0.512898i | 0.292344 | − | 0.0515482i | ||||
\(100\) | 4.27939 | − | 2.58588i | 0.427939 | − | 0.258588i | ||||
\(101\) | 4.27479 | + | 1.55590i | 0.425357 | + | 0.154817i | 0.545824 | − | 0.837900i | \(-0.316217\pi\) |
−0.120466 | + | 0.992717i | \(0.538439\pi\) | |||||||
\(102\) | −0.222351 | + | 0.342390i | −0.0220160 | + | 0.0339017i | ||||
\(103\) | 1.89597 | − | 4.93918i | 0.186816 | − | 0.486671i | −0.807902 | − | 0.589316i | \(-0.799397\pi\) |
0.994718 | + | 0.102645i | \(0.0327305\pi\) | |||||||
\(104\) | −0.314713 | − | 4.50061i | −0.0308602 | − | 0.441321i | ||||
\(105\) | −13.7019 | + | 12.5870i | −1.33717 | + | 1.22837i | ||||
\(106\) | −0.865210 | − | 8.23193i | −0.0840367 | − | 0.799555i | ||||
\(107\) | −4.22505 | + | 15.7681i | −0.408451 | + | 1.52436i | 0.389150 | + | 0.921174i | \(0.372769\pi\) |
−0.797601 | + | 0.603185i | \(0.793898\pi\) | |||||||
\(108\) | 2.10666 | − | 3.80051i | 0.202713 | − | 0.365704i | ||||
\(109\) | 16.4491 | − | 2.31178i | 1.57554 | − | 0.221428i | 0.703441 | − | 0.710754i | \(-0.251646\pi\) |
0.872101 | + | 0.489325i | \(0.162757\pi\) | |||||||
\(110\) | −7.34797 | − | 4.66828i | −0.700601 | − | 0.445103i | ||||
\(111\) | −0.0572520 | − | 1.63948i | −0.00543412 | − | 0.155613i | ||||
\(112\) | 1.67696 | + | 3.95068i | 0.158458 | + | 0.373304i | ||||
\(113\) | 2.32324 | + | 1.18375i | 0.218552 | + | 0.111358i | 0.559839 | − | 0.828601i | \(-0.310863\pi\) |
−0.341287 | + | 0.939959i | \(0.610863\pi\) | |||||||
\(114\) | −6.71729 | − | 5.12765i | −0.629132 | − | 0.480248i | ||||
\(115\) | 9.85076 | + | 4.47440i | 0.918588 | + | 0.417240i | ||||
\(116\) | −4.76182 | − | 1.92390i | −0.442124 | − | 0.178630i | ||||
\(117\) | 3.35993 | − | 0.653104i | 0.310625 | − | 0.0603795i | ||||
\(118\) | 4.62403 | − | 6.60381i | 0.425677 | − | 0.607930i | ||||
\(119\) | −0.812305 | + | 0.396187i | −0.0744639 | + | 0.0363184i | ||||
\(120\) | 4.10939 | − | 1.38069i | 0.375134 | − | 0.126039i | ||||
\(121\) | −0.434536 | + | 4.13433i | −0.0395033 | + | 0.375848i | ||||
\(122\) | 8.46901 | + | 3.25095i | 0.766748 | + | 0.294327i | ||||
\(123\) | 7.57454 | − | 17.8445i | 0.682973 | − | 1.60898i | ||||
\(124\) | 7.03547 | − | 5.90346i | 0.631804 | − | 0.530146i | ||||
\(125\) | 0.835444 | − | 11.1491i | 0.0747244 | − | 0.997204i | ||||
\(126\) | −2.81987 | + | 1.62805i | −0.251214 | + | 0.145039i | ||||
\(127\) | 1.26034 | − | 0.154751i | 0.111837 | − | 0.0137319i | −0.0657571 | − | 0.997836i | \(-0.520946\pi\) |
0.177594 | + | 0.984104i | \(0.443168\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | 1.06874 | − | 2.19124i | 0.0940971 | − | 0.192928i | ||||
\(130\) | −8.60822 | − | 5.26035i | −0.754990 | − | 0.461363i | ||||
\(131\) | −10.7506 | − | 0.751753i | −0.939281 | − | 0.0656809i | −0.408098 | − | 0.912938i | \(-0.633808\pi\) |
−0.531183 | + | 0.847257i | \(0.678252\pi\) | |||||||
\(132\) | −5.33716 | − | 5.33716i | −0.464540 | − | 0.464540i | ||||
\(133\) | −6.90006 | − | 17.3888i | −0.598311 | − | 1.50780i | ||||
\(134\) | −14.1046 | + | 4.58286i | −1.21845 | + | 0.395899i | ||||
\(135\) | −4.19399 | − | 8.76470i | −0.360961 | − | 0.754345i | ||||
\(136\) | 0.210450 | − | 0.00734907i | 0.0180459 | − | 0.000630177i | ||||
\(137\) | 2.68502 | − | 8.78230i | 0.229397 | − | 0.750323i | −0.764945 | − | 0.644095i | \(-0.777234\pi\) |
0.994342 | − | 0.106227i | \(-0.0338771\pi\) | |||||||
\(138\) | 7.49170 | + | 5.64540i | 0.637736 | + | 0.480569i | ||||
\(139\) | −4.47181 | − | 3.49376i | −0.379294 | − | 0.296337i | 0.407919 | − | 0.913018i | \(-0.366255\pi\) |
−0.787213 | + | 0.616681i | \(0.788477\pi\) | |||||||
\(140\) | 9.37200 | + | 2.06545i | 0.792078 | + | 0.174562i | ||||
\(141\) | −1.89839 | + | 8.93122i | −0.159873 | + | 0.752144i | ||||
\(142\) | 4.70997 | + | 7.83871i | 0.395252 | + | 0.657810i | ||||
\(143\) | −1.53086 | + | 17.4978i | −0.128017 | + | 1.46324i | ||||
\(144\) | 0.754514 | − | 0.0793026i | 0.0628762 | − | 0.00660855i | ||||
\(145\) | −9.67777 | + | 6.18242i | −0.803695 | + | 0.513422i | ||||
\(146\) | 7.50182 | − | 5.06004i | 0.620855 | − | 0.418772i | ||||
\(147\) | −22.1371 | − | 0.386404i | −1.82583 | − | 0.0318701i | ||||
\(148\) | −0.675776 | + | 0.509234i | −0.0555484 | + | 0.0418588i | ||||
\(149\) | −6.47479 | − | 17.7893i | −0.530435 | − | 1.45736i | −0.858554 | − | 0.512722i | \(-0.828637\pi\) |
0.328119 | − | 0.944636i | \(-0.393585\pi\) | |||||||
\(150\) | 2.81099 | − | 9.27713i | 0.229516 | − | 0.757474i | ||||
\(151\) | 11.4052i | 0.928145i | 0.885797 | + | 0.464072i | \(0.153612\pi\) | ||||
−0.885797 | + | 0.464072i | \(0.846388\pi\) | |||||||
\(152\) | −0.179211 | + | 4.35521i | −0.0145360 | + | 0.353254i | ||||
\(153\) | 0.0249918 | + | 0.157792i | 0.00202047 | + | 0.0127568i | ||||
\(154\) | −4.04231 | − | 16.2128i | −0.325738 | − | 1.30646i | ||||
\(155\) | −1.63683 | − | 20.4711i | −0.131473 | − | 1.64427i | ||||
\(156\) | −6.29190 | − | 6.07602i | −0.503755 | − | 0.486471i | ||||
\(157\) | 2.45173 | + | 3.50143i | 0.195669 | + | 0.279445i | 0.904983 | − | 0.425449i | \(-0.139884\pi\) |
−0.709313 | + | 0.704893i | \(0.750995\pi\) | |||||||
\(158\) | −1.59270 | − | 0.882850i | −0.126709 | − | 0.0702358i | ||||
\(159\) | −11.9255 | − | 10.7378i | −0.945756 | − | 0.851563i | ||||
\(160\) | −1.79914 | − | 1.32782i | −0.142234 | − | 0.104973i | ||||
\(161\) | 7.77922 | + | 19.2542i | 0.613089 | + | 1.51745i | ||||
\(162\) | −2.40707 | − | 10.4262i | −0.189118 | − | 0.819158i | ||||
\(163\) | 0.957981 | + | 1.47516i | 0.0750349 | + | 0.115544i | 0.874196 | − | 0.485574i | \(-0.161389\pi\) |
−0.799161 | + | 0.601117i | \(0.794723\pi\) | |||||||
\(164\) | −9.78060 | + | 2.07893i | −0.763737 | + | 0.162337i | ||||
\(165\) | −16.6426 | + | 2.80639i | −1.29563 | + | 0.218477i | ||||
\(166\) | −0.733159 | − | 5.21669i | −0.0569041 | − | 0.404894i | ||||
\(167\) | −0.281523 | − | 16.1284i | −0.0217849 | − | 1.24806i | −0.792100 | − | 0.610392i | \(-0.791012\pi\) |
0.770315 | − | 0.637664i | \(-0.220099\pi\) | |||||||
\(168\) | 7.54117 | + | 3.51650i | 0.581814 | + | 0.271304i | ||||
\(169\) | −0.513026 | + | 7.33661i | −0.0394635 | + | 0.564355i | ||||
\(170\) | 0.259398 | − | 0.392973i | 0.0198949 | − | 0.0301397i | ||||
\(171\) | −3.29611 | + | 0.267728i | −0.252060 | + | 0.0204737i | ||||
\(172\) | −1.24203 | + | 0.196718i | −0.0947038 | + | 0.0149996i | ||||
\(173\) | −0.748539 | + | 3.24228i | −0.0569103 | + | 0.246506i | −0.994998 | − | 0.0998912i | \(-0.968151\pi\) |
0.938088 | + | 0.346397i | \(0.112595\pi\) | |||||||
\(174\) | −9.35643 | + | 3.40546i | −0.709309 | + | 0.258167i | ||||
\(175\) | 15.9115 | − | 14.3989i | 1.20279 | − | 1.08845i | ||||
\(176\) | −0.676049 | + | 3.83407i | −0.0509591 | + | 0.289004i | ||||
\(177\) | −1.90476 | − | 15.5131i | −0.143171 | − | 1.16603i | ||||
\(178\) | −5.58965 | + | 4.52641i | −0.418962 | + | 0.339268i | ||||
\(179\) | 12.0278 | − | 5.35513i | 0.899001 | − | 0.400261i | 0.0954064 | − | 0.995438i | \(-0.469585\pi\) |
0.803594 | + | 0.595178i | \(0.202918\pi\) | |||||||
\(180\) | 0.833522 | − | 1.47755i | 0.0621270 | − | 0.110130i | ||||
\(181\) | −8.81637 | − | 2.19817i | −0.655316 | − | 0.163389i | −0.0999470 | − | 0.994993i | \(-0.531867\pi\) |
−0.555369 | + | 0.831604i | \(0.687423\pi\) | |||||||
\(182\) | −5.01156 | − | 18.7034i | −0.371481 | − | 1.38639i | ||||
\(183\) | 16.4191 | − | 6.30270i | 1.21374 | − | 0.465909i | ||||
\(184\) | 0.168863 | − | 4.83560i | 0.0124487 | − | 0.356485i | ||||
\(185\) | 0.0518904 | + | 1.89137i | 0.00381506 | + | 0.139056i | ||||
\(186\) | 2.47806 | − | 17.6323i | 0.181700 | − | 1.29286i | ||||
\(187\) | −0.813714 | − | 0.0999115i | −0.0595047 | − | 0.00730626i | ||||
\(188\) | 4.33526 | − | 1.84021i | 0.316181 | − | 0.134211i | ||||
\(189\) | 5.76303 | − | 17.7368i | 0.419199 | − | 1.29016i | ||||
\(190\) | 7.70307 | + | 5.97183i | 0.558839 | + | 0.433242i | ||||
\(191\) | −1.78508 | − | 5.49391i | −0.129164 | − | 0.397525i | 0.865473 | − | 0.500956i | \(-0.167018\pi\) |
−0.994637 | + | 0.103430i | \(0.967018\pi\) | |||||||
\(192\) | −1.27192 | − | 1.46318i | −0.0917930 | − | 0.105596i | ||||
\(193\) | −6.90803 | + | 14.8143i | −0.497251 | + | 1.06636i | 0.484255 | + | 0.874927i | \(0.339091\pi\) |
−0.981506 | + | 0.191431i | \(0.938687\pi\) | |||||||
\(194\) | −0.126217 | + | 0.130702i | −0.00906187 | + | 0.00938384i | ||||
\(195\) | −19.2264 | + | 3.58824i | −1.37683 | + | 0.256959i | ||||
\(196\) | 6.38603 | + | 9.46768i | 0.456145 | + | 0.676263i | ||||
\(197\) | 4.83290 | + | 5.96813i | 0.344330 | + | 0.425212i | 0.919664 | − | 0.392707i | \(-0.128461\pi\) |
−0.575334 | + | 0.817919i | \(0.695128\pi\) | |||||||
\(198\) | −2.94962 | − | 0.154583i | −0.209620 | − | 0.0109857i | ||||
\(199\) | 3.80840 | + | 4.53868i | 0.269971 | + | 0.321739i | 0.883948 | − | 0.467585i | \(-0.154876\pi\) |
−0.613977 | + | 0.789324i | \(0.710431\pi\) | |||||||
\(200\) | −4.75141 | + | 1.55695i | −0.335975 | + | 0.110093i | ||||
\(201\) | −14.3761 | + | 24.9002i | −1.01401 | + | 1.75632i | ||||
\(202\) | −3.81522 | − | 2.47764i | −0.268438 | − | 0.174326i | ||||
\(203\) | −21.6371 | − | 4.20583i | −1.51863 | − | 0.295191i | ||||
\(204\) | 0.293673 | − | 0.283597i | 0.0205612 | − | 0.0198558i | ||||
\(205\) | −8.88990 | + | 20.5154i | −0.620897 | + | 1.43286i | ||||
\(206\) | −2.95845 | + | 4.38608i | −0.206125 | + | 0.305593i | ||||
\(207\) | 3.65689 | − | 0.319937i | 0.254172 | − | 0.0222371i | ||||
\(208\) | −0.705770 | + | 4.45605i | −0.0489363 | + | 0.308972i | ||||
\(209\) | 3.34159 | − | 16.6379i | 0.231142 | − | 1.15087i | ||||
\(210\) | 16.1822 | − | 9.18214i | 1.11668 | − | 0.633628i | ||||
\(211\) | −3.90259 | − | 6.24545i | −0.268665 | − | 0.429954i | 0.686015 | − | 0.727587i | \(-0.259358\pi\) |
−0.954680 | + | 0.297633i | \(0.903803\pi\) | |||||||
\(212\) | −1.00875 | + | 8.21557i | −0.0692809 | + | 0.564248i | ||||
\(213\) | 16.9548 | + | 5.18360i | 1.16172 | + | 0.355174i | ||||
\(214\) | 7.66381 | − | 14.4135i | 0.523887 | − | 0.985289i | ||||
\(215\) | −1.25151 | + | 2.51801i | −0.0853524 | + | 0.171727i | ||||
\(216\) | −2.90759 | + | 3.22921i | −0.197837 | + | 0.219720i | ||||
\(217\) | 24.8060 | − | 30.6329i | 1.68394 | − | 2.07949i | ||||
\(218\) | −16.5476 | − | 1.44773i | −1.12074 | − | 0.0980524i | ||||
\(219\) | 4.24409 | − | 17.0221i | 0.286789 | − | 1.15025i | ||||
\(220\) | 6.10951 | + | 6.20157i | 0.411903 | + | 0.418110i | ||||
\(221\) | −0.944839 | − | 0.0993066i | −0.0635568 | − | 0.00668008i | ||||
\(222\) | −0.313019 | + | 1.61034i | −0.0210084 | + | 0.108079i | ||||
\(223\) | 19.7914 | − | 6.05085i | 1.32533 | − | 0.405195i | 0.451869 | − | 0.892084i | \(-0.350757\pi\) |
0.873464 | + | 0.486890i | \(0.161869\pi\) | |||||||
\(224\) | −0.745274 | − | 4.22666i | −0.0497957 | − | 0.282406i | ||||
\(225\) | −1.61172 | − | 3.43393i | −0.107448 | − | 0.228929i | ||||
\(226\) | −1.99741 | − | 1.67602i | −0.132865 | − | 0.111487i | ||||
\(227\) | −23.3052 | + | 11.8746i | −1.54682 | + | 0.788145i | −0.998831 | − | 0.0483393i | \(-0.984607\pi\) |
−0.547991 | + | 0.836484i | \(0.684607\pi\) | |||||||
\(228\) | 5.39166 | + | 6.50729i | 0.357071 | + | 0.430956i | ||||
\(229\) | −14.4226 | + | 19.8510i | −0.953072 | + | 1.31179i | −0.00292223 | + | 0.999996i | \(0.500930\pi\) |
−0.950149 | + | 0.311795i | \(0.899070\pi\) | |||||||
\(230\) | −8.59176 | − | 6.57566i | −0.566524 | − | 0.433586i | ||||
\(231\) | −26.8562 | − | 18.1148i | −1.76701 | − | 1.19186i | ||||
\(232\) | 4.20699 | + | 2.94577i | 0.276203 | + | 0.193399i | ||||
\(233\) | −6.49777 | + | 18.8709i | −0.425683 | + | 1.23627i | 0.502638 | + | 0.864497i | \(0.332363\pi\) |
−0.928322 | + | 0.371778i | \(0.878748\pi\) | |||||||
\(234\) | −3.42073 | − | 0.119455i | −0.223620 | − | 0.00780899i | ||||
\(235\) | 2.26651 | − | 10.2843i | 0.147851 | − | 0.670875i | ||||
\(236\) | −5.99105 | + | 5.39437i | −0.389984 | + | 0.351144i | ||||
\(237\) | −3.43999 | + | 0.794183i | −0.223451 | + | 0.0515877i | ||||
\(238\) | 0.880608 | − | 0.203304i | 0.0570814 | − | 0.0131783i | ||||
\(239\) | 17.7125 | − | 15.9484i | 1.14573 | − | 1.03162i | 0.146626 | − | 0.989192i | \(-0.453159\pi\) |
0.999100 | − | 0.0424236i | \(-0.0135079\pi\) | |||||||
\(240\) | −4.31465 | + | 0.420891i | −0.278509 | + | 0.0271684i | ||||
\(241\) | −0.146006 | − | 0.00509863i | −0.00940506 | − | 0.000328432i | 0.0301966 | − | 0.999544i | \(-0.490387\pi\) |
−0.0396016 | + | 0.999216i | \(0.512609\pi\) | |||||||
\(242\) | 1.35342 | − | 3.93062i | 0.0870012 | − | 0.252670i | ||||
\(243\) | −6.31504 | − | 4.42184i | −0.405110 | − | 0.283661i | ||||
\(244\) | −7.52064 | − | 5.07274i | −0.481460 | − | 0.324749i | ||||
\(245\) | 25.5281 | + | 0.636583i | 1.63093 | + | 0.0406698i | ||||
\(246\) | −11.3945 | + | 15.6832i | −0.726490 | + | 0.999927i | ||||
\(247\) | 3.53527 | − | 19.3452i | 0.224944 | − | 1.23091i | ||||
\(248\) | −8.18314 | + | 4.16952i | −0.519630 | + | 0.264765i | ||||
\(249\) | −7.82373 | − | 6.56489i | −0.495809 | − | 0.416033i | ||||
\(250\) | −3.32203 | + | 10.6754i | −0.210104 | + | 0.675171i | ||||
\(251\) | 0.527627 | + | 2.99232i | 0.0333035 | + | 0.188873i | 0.996921 | − | 0.0784112i | \(-0.0249847\pi\) |
−0.963618 | + | 0.267285i | \(0.913874\pi\) | |||||||
\(252\) | 3.11383 | − | 0.951994i | 0.196153 | − | 0.0599700i | ||||
\(253\) | −3.59436 | + | 18.4914i | −0.225976 | + | 1.16254i | ||||
\(254\) | −1.26285 | − | 0.132731i | −0.0792384 | − | 0.00832829i | ||||
\(255\) | −0.136060 | − | 0.902687i | −0.00852040 | − | 0.0565284i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | 6.43150 | + | 0.562683i | 0.401186 | + | 0.0350992i | 0.285964 | − | 0.958240i | \(-0.407686\pi\) |
0.115222 | + | 0.993340i | \(0.463242\pi\) | |||||||
\(258\) | −1.53427 | + | 1.89466i | −0.0955193 | + | 0.117956i | ||||
\(259\) | −2.43003 | + | 2.69882i | −0.150994 | + | 0.167696i | ||||
\(260\) | 7.20427 | + | 7.06195i | 0.446790 | + | 0.437964i | ||||
\(261\) | −1.82923 | + | 3.44029i | −0.113227 | + | 0.212949i | ||||
\(262\) | 10.3059 | + | 3.15084i | 0.636702 | + | 0.194659i | ||||
\(263\) | 2.64519 | − | 21.5434i | 0.163109 | − | 1.32842i | −0.655990 | − | 0.754769i | \(-0.727749\pi\) |
0.819100 | − | 0.573651i | \(-0.194473\pi\) | |||||||
\(264\) | 3.99977 | + | 6.40097i | 0.246169 | + | 0.393952i | ||||
\(265\) | 13.6615 | + | 12.4871i | 0.839221 | + | 0.767079i | ||||
\(266\) | 2.81158 | + | 18.4953i | 0.172389 | + | 1.13402i | ||||
\(267\) | −2.18138 | + | 13.7727i | −0.133498 | + | 0.842875i | ||||
\(268\) | 14.7740 | − | 1.29256i | 0.902467 | − | 0.0789556i | ||||
\(269\) | −9.62839 | + | 14.2747i | −0.587053 | + | 0.870342i | −0.999168 | − | 0.0407899i | \(-0.987013\pi\) |
0.412115 | + | 0.911132i | \(0.364790\pi\) | |||||||
\(270\) | 2.11487 | + | 9.48350i | 0.128707 | + | 0.577148i | ||||
\(271\) | 10.3920 | − | 10.0354i | 0.631266 | − | 0.609607i | −0.308582 | − | 0.951198i | \(-0.599855\pi\) |
0.939849 | + | 0.341591i | \(0.110966\pi\) | |||||||
\(272\) | −0.206709 | − | 0.0401802i | −0.0125336 | − | 0.00243628i | ||||
\(273\) | −31.4836 | − | 20.4457i | −1.90548 | − | 1.23743i | ||||
\(274\) | −4.59179 | + | 7.95321i | −0.277400 | + | 0.480471i | ||||
\(275\) | 19.2187 | − | 3.09316i | 1.15893 | − | 0.186525i | ||||
\(276\) | −6.02975 | − | 7.18598i | −0.362948 | − | 0.432545i | ||||
\(277\) | 5.84885 | + | 0.306525i | 0.351423 | + | 0.0184173i | 0.227231 | − | 0.973841i | \(-0.427033\pi\) |
0.124192 | + | 0.992258i | \(0.460366\pi\) | |||||||
\(278\) | 3.57127 | + | 4.41015i | 0.214191 | + | 0.264503i | ||||
\(279\) | −3.89631 | − | 5.77652i | −0.233266 | − | 0.345831i | ||||
\(280\) | −8.66717 | − | 4.12075i | −0.517962 | − | 0.246262i | ||||
\(281\) | −12.5809 | + | 13.0279i | −0.750511 | + | 0.777177i | −0.980606 | − | 0.195991i | \(-0.937208\pi\) |
0.230094 | + | 0.973168i | \(0.426097\pi\) | |||||||
\(282\) | 3.85882 | − | 8.27526i | 0.229789 | − | 0.492785i | ||||
\(283\) | −16.4680 | − | 18.9443i | −0.978922 | − | 1.12612i | −0.992004 | − | 0.126206i | \(-0.959720\pi\) |
0.0130821 | − | 0.999914i | \(-0.495836\pi\) | |||||||
\(284\) | −2.82593 | − | 8.69731i | −0.167688 | − | 0.516091i | ||||
\(285\) | 18.8453 | − | 1.38894i | 1.11630 | − | 0.0822739i | ||||
\(286\) | 5.42776 | − | 16.7049i | 0.320950 | − | 0.987784i | ||||
\(287\) | −39.5033 | + | 16.7681i | −2.33180 | + | 0.989792i | ||||
\(288\) | −0.753015 | − | 0.0924586i | −0.0443718 | − | 0.00544818i | ||||
\(289\) | −2.35977 | + | 16.7906i | −0.138810 | + | 0.987685i | ||||
\(290\) | 10.8205 | − | 3.84694i | 0.635400 | − | 0.225900i | ||||
\(291\) | −0.0122937 | + | 0.352046i | −0.000720671 | + | 0.0206373i | ||||
\(292\) | −8.44781 | + | 3.24281i | −0.494371 | + | 0.189771i | ||||
\(293\) | −4.57786 | − | 17.0848i | −0.267441 | − | 0.998104i | −0.960739 | − | 0.277453i | \(-0.910510\pi\) |
0.693298 | − | 0.720651i | \(-0.256157\pi\) | |||||||
\(294\) | 21.4828 | + | 5.35626i | 1.25290 | + | 0.312383i | ||||
\(295\) | 2.06303 | + | 17.9082i | 0.120115 | + | 1.04266i | ||||
\(296\) | 0.773009 | − | 0.344166i | 0.0449302 | − | 0.0200042i | ||||
\(297\) | 13.1472 | − | 10.6464i | 0.762879 | − | 0.617767i | ||||
\(298\) | 2.30711 | + | 18.7899i | 0.133647 | + | 1.08847i | ||||
\(299\) | −3.79067 | + | 21.4979i | −0.219220 | + | 1.24326i | ||||
\(300\) | −4.82584 | + | 8.40702i | −0.278620 | + | 0.485380i | ||||
\(301\) | −5.07158 | + | 1.84590i | −0.292321 | + | 0.106396i | ||||
\(302\) | 2.56562 | − | 11.1129i | 0.147635 | − | 0.639477i | ||||
\(303\) | −8.71095 | + | 1.37968i | −0.500431 | + | 0.0792605i | ||||
\(304\) | 1.15433 | − | 4.20328i | 0.0662053 | − | 0.241074i | ||||
\(305\) | −18.9911 | + | 7.12752i | −1.08743 | + | 0.408121i | ||||
\(306\) | 0.0111442 | − | 0.159370i | 0.000637074 | − | 0.00911058i | ||||
\(307\) | −13.7924 | − | 6.43152i | −0.787176 | − | 0.367066i | −0.0129020 | − | 0.999917i | \(-0.504107\pi\) |
−0.774274 | + | 0.632851i | \(0.781885\pi\) | |||||||
\(308\) | 0.291615 | + | 16.7066i | 0.0166163 | + | 0.951946i | ||||
\(309\) | 1.42750 | + | 10.1572i | 0.0812075 | + | 0.577821i | ||||
\(310\) | −3.01011 | + | 20.3146i | −0.170963 | + | 1.15379i | ||||
\(311\) | 13.8013 | − | 2.93355i | 0.782598 | − | 0.166346i | 0.200749 | − | 0.979643i | \(-0.435663\pi\) |
0.581850 | + | 0.813296i | \(0.302329\pi\) | |||||||
\(312\) | 4.76383 | + | 7.33566i | 0.269699 | + | 0.415300i | ||||
\(313\) | −5.17564 | − | 22.4181i | −0.292544 | − | 1.26715i | −0.886529 | − | 0.462672i | \(-0.846891\pi\) |
0.593985 | − | 0.804476i | \(-0.297554\pi\) | |||||||
\(314\) | −1.60124 | − | 3.96321i | −0.0903633 | − | 0.223657i | ||||
\(315\) | 2.30163 | − | 6.90751i | 0.129682 | − | 0.389194i | ||||
\(316\) | 1.35328 | + | 1.21850i | 0.0761282 | + | 0.0685461i | ||||
\(317\) | −14.6108 | − | 8.09889i | −0.820624 | − | 0.454879i | 0.0178373 | − | 0.999841i | \(-0.494322\pi\) |
−0.838461 | + | 0.544962i | \(0.816544\pi\) | |||||||
\(318\) | 9.20440 | + | 13.1452i | 0.516157 | + | 0.737149i | ||||
\(319\) | −14.3830 | − | 13.8895i | −0.805293 | − | 0.777663i | ||||
\(320\) | 1.45433 | + | 1.69850i | 0.0812996 | + | 0.0949493i | ||||
\(321\) | −7.65646 | − | 30.7084i | −0.427342 | − | 1.71397i | ||||
\(322\) | −3.24858 | − | 20.5107i | −0.181036 | − | 1.14302i | ||||
\(323\) | 0.896626 | + | 0.196420i | 0.0498896 | + | 0.0109291i | ||||
\(324\) | 10.7004i | 0.594468i | ||||||||
\(325\) | 22.2054 | − | 3.97262i | 1.23174 | − | 0.220361i | ||||
\(326\) | −0.601589 | − | 1.65285i | −0.0333189 | − | 0.0915430i | ||||
\(327\) | −25.7191 | + | 19.3808i | −1.42227 | + | 1.07176i | ||||
\(328\) | 9.99758 | + | 0.174508i | 0.552024 | + | 0.00963562i | ||||
\(329\) | 16.7575 | − | 11.3031i | 0.923871 | − | 0.623159i | ||||
\(330\) | 16.8474 | + | 1.00932i | 0.927418 | + | 0.0555611i | ||||
\(331\) | −13.4275 | + | 1.41129i | −0.738045 | + | 0.0775716i | −0.466089 | − | 0.884738i | \(-0.654337\pi\) |
−0.271956 | + | 0.962310i | \(0.587671\pi\) | |||||||
\(332\) | −0.459133 | + | 5.24792i | −0.0251982 | + | 0.288017i | ||||
\(333\) | 0.330633 | + | 0.550266i | 0.0181186 | + | 0.0301544i | ||||
\(334\) | −3.35380 | + | 15.7784i | −0.183512 | + | 0.863355i | ||||
\(335\) | 16.7952 | − | 28.5943i | 0.917622 | − | 1.56227i | ||||
\(336\) | −6.55685 | − | 5.12277i | −0.357705 | − | 0.279470i | ||||
\(337\) | −11.2597 | − | 8.48477i | −0.613353 | − | 0.462195i | 0.248999 | − | 0.968504i | \(-0.419898\pi\) |
−0.862352 | + | 0.506309i | \(0.831009\pi\) | |||||||
\(338\) | 2.15026 | − | 7.03317i | 0.116958 | − | 0.382554i | ||||
\(339\) | −5.05202 | + | 0.176420i | −0.274388 | + | 0.00958184i | ||||
\(340\) | −0.341150 | + | 0.324549i | −0.0185014 | + | 0.0176012i | ||||
\(341\) | 34.0058 | − | 11.0492i | 1.84152 | − | 0.598346i | ||||
\(342\) | 3.27186 | + | 0.480597i | 0.176922 | + | 0.0259877i | ||||
\(343\) | 13.4141 | + | 13.4141i | 0.724292 | + | 0.724292i | ||||
\(344\) | 1.25445 | + | 0.0877195i | 0.0676353 | + | 0.00472952i | ||||
\(345\) | −20.9090 | + | 1.67184i | −1.12570 | + | 0.0900091i | ||||
\(346\) | 1.45871 | − | 2.99079i | 0.0784206 | − | 0.160786i | ||||
\(347\) | 0.0552487 | − | 3.16519i | 0.00296590 | − | 0.169917i | −0.994749 | − | 0.102348i | \(-0.967365\pi\) |
0.997715 | − | 0.0675690i | \(-0.0215243\pi\) | |||||||
\(348\) | 9.88268 | − | 1.21344i | 0.529767 | − | 0.0650473i | ||||
\(349\) | 16.1895 | − | 9.34703i | 0.866606 | − | 0.500335i | 0.000386933 | − | 1.00000i | \(-0.499877\pi\) |
0.866219 | + | 0.499665i | \(0.166544\pi\) | |||||||
\(350\) | −18.7427 | + | 10.4505i | −1.00184 | + | 0.558604i | ||||
\(351\) | 15.0178 | − | 12.6015i | 0.801593 | − | 0.672616i | ||||
\(352\) | 1.52120 | − | 3.58372i | 0.0810802 | − | 0.191013i | ||||
\(353\) | −15.8544 | − | 6.08594i | −0.843846 | − | 0.323922i | −0.102242 | − | 0.994760i | \(-0.532601\pi\) |
−0.741604 | + | 0.670837i | \(0.765935\pi\) | |||||||
\(354\) | −1.63373 | + | 15.5439i | −0.0868320 | + | 0.826151i | ||||
\(355\) | −19.5098 | − | 6.12466i | −1.03548 | − | 0.325063i | ||||
\(356\) | 6.46460 | − | 3.15300i | 0.342623 | − | 0.167109i | ||||
\(357\) | 1.00500 | − | 1.43529i | 0.0531904 | − | 0.0759637i | ||||
\(358\) | −12.9242 | + | 2.51221i | −0.683064 | + | 0.132774i | ||||
\(359\) | −16.6381 | − | 6.72222i | −0.878124 | − | 0.354785i | −0.109120 | − | 0.994029i | \(-0.534803\pi\) |
−0.769004 | + | 0.639243i | \(0.779248\pi\) | |||||||
\(360\) | −1.14453 | + | 1.25218i | −0.0603222 | + | 0.0659954i | ||||
\(361\) | −5.46386 | + | 18.1974i | −0.287572 | + | 0.957759i | ||||
\(362\) | 8.09593 | + | 4.12508i | 0.425513 | + | 0.216809i | ||||
\(363\) | −3.14910 | − | 7.41881i | −0.165285 | − | 0.389387i | ||||
\(364\) | 0.675765 | + | 19.3514i | 0.0354197 | + | 1.01429i | ||||
\(365\) | −5.04167 | + | 19.5956i | −0.263893 | + | 1.02568i | ||||
\(366\) | −17.4161 | + | 2.44767i | −0.910353 | + | 0.127942i | ||||
\(367\) | 18.5323 | − | 33.4332i | 0.967379 | − | 1.74520i | 0.424268 | − | 0.905537i | \(-0.360531\pi\) |
0.543111 | − | 0.839661i | \(-0.317246\pi\) | |||||||
\(368\) | −1.25231 | + | 4.67368i | −0.0652811 | + | 0.243632i | ||||
\(369\) | 0.792955 | + | 7.54447i | 0.0412796 | + | 0.392749i | ||||
\(370\) | 0.374905 | − | 1.85456i | 0.0194904 | − | 0.0964142i | ||||
\(371\) | 2.47809 | + | 35.4384i | 0.128656 | + | 1.83987i | ||||
\(372\) | −6.38095 | + | 16.6229i | −0.330837 | + | 0.861859i | ||||
\(373\) | 1.70006 | − | 2.61786i | 0.0880256 | − | 0.135548i | −0.791915 | − | 0.610632i | \(-0.790916\pi\) |
0.879940 | + | 0.475084i | \(0.157582\pi\) | |||||||
\(374\) | 0.770384 | + | 0.280397i | 0.0398356 | + | 0.0144990i | ||||
\(375\) | 9.06256 | + | 19.6902i | 0.467989 | + | 1.01680i | ||||
\(376\) | −4.63810 | + | 0.817823i | −0.239192 | + | 0.0421760i | ||||
\(377\) | −16.9459 | − | 15.8023i | −0.872759 | − | 0.813861i | ||||
\(378\) | −9.60524 | + | 15.9858i | −0.494040 | + | 0.822221i | ||||
\(379\) | 28.6817 | + | 20.8385i | 1.47328 | + | 1.07040i | 0.979646 | + | 0.200734i | \(0.0643327\pi\) |
0.493637 | + | 0.869668i | \(0.335667\pi\) | |||||||
\(380\) | −6.16227 | − | 7.55159i | −0.316118 | − | 0.387388i | ||||
\(381\) | −1.99165 | + | 1.44702i | −0.102035 | + | 0.0741329i | ||||
\(382\) | 0.503467 | + | 5.75466i | 0.0257596 | + | 0.294434i | ||||
\(383\) | 6.17067 | + | 31.7453i | 0.315307 | + | 1.62211i | 0.710627 | + | 0.703568i | \(0.248411\pi\) |
−0.395321 | + | 0.918543i | \(0.629367\pi\) | |||||||
\(384\) | 0.910178 | + | 1.71180i | 0.0464473 | + | 0.0873547i | ||||
\(385\) | 30.8180 | + | 21.1240i | 1.57063 | + | 1.07658i | ||||
\(386\) | 10.0635 | − | 12.8807i | 0.512218 | − | 0.655609i | ||||
\(387\) | 0.0499304 | + | 0.952729i | 0.00253810 | + | 0.0484299i | ||||
\(388\) | 0.152384 | − | 0.0989592i | 0.00773611 | − | 0.00502389i | ||||
\(389\) | 13.9426 | − | 5.63318i | 0.706919 | − | 0.285614i | 0.00714121 | − | 0.999975i | \(-0.497727\pi\) |
0.699778 | + | 0.714361i | \(0.253282\pi\) | |||||||
\(390\) | 19.5408 | + | 0.828727i | 0.989487 | + | 0.0419642i | ||||
\(391\) | −0.996626 | − | 0.211839i | −0.0504016 | − | 0.0107132i | ||||
\(392\) | −4.09259 | − | 10.6616i | −0.206707 | − | 0.538490i | ||||
\(393\) | 18.9358 | − | 8.82990i | 0.955184 | − | 0.445410i | ||||
\(394\) | −3.36649 | − | 6.90234i | −0.169602 | − | 0.347735i | ||||
\(395\) | 3.97431 | − | 0.886290i | 0.199969 | − | 0.0445941i | ||||
\(396\) | 2.83924 | + | 0.814140i | 0.142677 | + | 0.0409121i | ||||
\(397\) | −12.0167 | − | 7.22037i | −0.603101 | − | 0.362380i | 0.180564 | − | 0.983563i | \(-0.442208\pi\) |
−0.783665 | + | 0.621183i | \(0.786652\pi\) | |||||||
\(398\) | −2.68981 | − | 5.27906i | −0.134828 | − | 0.264615i | ||||
\(399\) | 28.0441 | + | 22.9999i | 1.40396 | + | 1.15143i | ||||
\(400\) | 4.97987 | − | 0.448216i | 0.248993 | − | 0.0224108i | ||||
\(401\) | −2.02875 | + | 2.41777i | −0.101311 | + | 0.120738i | −0.814318 | − | 0.580420i | \(-0.802889\pi\) |
0.713006 | + | 0.701157i | \(0.247333\pi\) | |||||||
\(402\) | 19.6090 | − | 21.0280i | 0.978007 | − | 1.04878i | ||||
\(403\) | 39.1778 | − | 13.4900i | 1.95158 | − | 0.671984i | ||||
\(404\) | 3.16009 | + | 3.27237i | 0.157221 | + | 0.162807i | ||||
\(405\) | 19.4966 | + | 13.8701i | 0.968793 | + | 0.689210i | ||||
\(406\) | 20.1365 | + | 8.96533i | 0.999355 | + | 0.444942i | ||||
\(407\) | −3.18204 | + | 0.852626i | −0.157728 | + | 0.0422631i | ||||
\(408\) | −0.349942 | + | 0.210266i | −0.0173247 | + | 0.0104097i | ||||
\(409\) | 28.5991 | + | 17.8707i | 1.41413 | + | 0.883650i | 0.999651 | − | 0.0264072i | \(-0.00840666\pi\) |
0.414484 | + | 0.910057i | \(0.363962\pi\) | |||||||
\(410\) | 13.2770 | − | 17.9898i | 0.655704 | − | 0.888452i | ||||
\(411\) | 3.70176 | + | 17.4154i | 0.182594 | + | 0.859039i | ||||
\(412\) | 3.86928 | − | 3.60816i | 0.190626 | − | 0.177761i | ||||
\(413\) | −20.8228 | + | 27.6328i | −1.02462 | + | 1.35972i | ||||
\(414\) | −3.63514 | − | 0.510885i | −0.178657 | − | 0.0251086i | ||||
\(415\) | 8.96676 | + | 7.63900i | 0.440161 | + | 0.374984i | ||||
\(416\) | 1.69007 | − | 4.18308i | 0.0828627 | − | 0.205092i | ||||
\(417\) | 10.8665 | + | 1.72108i | 0.532133 | + | 0.0842816i | ||||
\(418\) | −6.99865 | + | 15.4598i | −0.342315 | + | 0.756161i | ||||
\(419\) | −11.2853 | − | 15.5329i | −0.551324 | − | 0.758832i | 0.438868 | − | 0.898552i | \(-0.355380\pi\) |
−0.990191 | + | 0.139720i | \(0.955380\pi\) | |||||||
\(420\) | −17.8330 | + | 5.30660i | −0.870160 | + | 0.258935i | ||||
\(421\) | 8.19830 | − | 28.5909i | 0.399561 | − | 1.39343i | −0.462496 | − | 0.886621i | \(-0.653046\pi\) |
0.862056 | − | 0.506812i | \(-0.169176\pi\) | |||||||
\(422\) | 2.39765 | + | 6.96327i | 0.116716 | + | 0.338967i | ||||
\(423\) | −1.04467 | − | 3.41695i | −0.0507934 | − | 0.166138i | ||||
\(424\) | 2.83099 | − | 7.77809i | 0.137485 | − | 0.377737i | ||||
\(425\) | 0.149137 | + | 1.04227i | 0.00723421 | + | 0.0505577i | ||||
\(426\) | −15.3542 | − | 8.86474i | −0.743912 | − | 0.429498i | ||||
\(427\) | −35.8387 | − | 15.2126i | −1.73436 | − | 0.736191i | ||||
\(428\) | −10.7097 | + | 12.3201i | −0.517674 | + | 0.595516i | ||||
\(429\) | −13.8506 | − | 31.1090i | −0.668714 | − | 1.50196i | ||||
\(430\) | 1.78587 | − | 2.17195i | 0.0861221 | − | 0.104741i | ||||
\(431\) | −6.08371 | − | 21.2164i | −0.293042 | − | 1.02196i | −0.960722 | − | 0.277511i | \(-0.910490\pi\) |
0.667680 | − | 0.744448i | \(-0.267287\pi\) | |||||||
\(432\) | 3.55949 | − | 2.49238i | 0.171256 | − | 0.119915i | ||||
\(433\) | −8.35261 | + | 0.145795i | −0.401401 | + | 0.00700648i | −0.217798 | − | 0.975994i | \(-0.569887\pi\) |
−0.183603 | + | 0.983000i | \(0.558776\pi\) | |||||||
\(434\) | −31.0611 | + | 24.2676i | −1.49098 | + | 1.16488i | ||||
\(435\) | 10.5992 | − | 19.5795i | 0.508191 | − | 0.938765i | ||||
\(436\) | 15.7978 | + | 5.13302i | 0.756578 | + | 0.245827i | ||||
\(437\) | 5.93936 | − | 20.2372i | 0.284118 | − | 0.968075i | ||||
\(438\) | −7.96446 | + | 15.6311i | −0.380556 | + | 0.746884i | ||||
\(439\) | 35.0462 | − | 21.8993i | 1.67266 | − | 1.04520i | 0.748553 | − | 0.663075i | \(-0.230749\pi\) |
0.924112 | − | 0.382122i | \(-0.124807\pi\) | |||||||
\(440\) | −4.55787 | − | 7.41696i | −0.217288 | − | 0.353590i | ||||
\(441\) | 7.64992 | − | 4.06754i | 0.364282 | − | 0.193692i | ||||
\(442\) | 0.898284 | + | 0.309304i | 0.0427270 | + | 0.0147121i | ||||
\(443\) | 12.2598 | + | 26.2913i | 0.582483 | + | 1.24914i | 0.947981 | + | 0.318326i | \(0.103121\pi\) |
−0.365499 | + | 0.930812i | \(0.619102\pi\) | |||||||
\(444\) | 0.667244 | − | 1.49865i | 0.0316660 | − | 0.0711230i | ||||
\(445\) | 2.63465 | − | 15.8657i | 0.124894 | − | 0.752107i | ||||
\(446\) | −20.6453 | + | 1.44366i | −0.977585 | + | 0.0683594i | ||||
\(447\) | 27.6994 | + | 24.0787i | 1.31014 | + | 1.13889i | ||||
\(448\) | −0.224619 | + | 4.28598i | −0.0106122 | + | 0.202494i | ||||
\(449\) | −6.13077 | − | 10.6188i | −0.289329 | − | 0.501133i | 0.684321 | − | 0.729181i | \(-0.260099\pi\) |
−0.973650 | + | 0.228049i | \(0.926766\pi\) | |||||||
\(450\) | 0.797945 | + | 3.70848i | 0.0376155 | + | 0.174819i | ||||
\(451\) | −38.3372 | − | 6.75989i | −1.80523 | − | 0.318311i | ||||
\(452\) | 1.56919 | + | 2.08239i | 0.0738085 | + | 0.0979472i | ||||
\(453\) | −10.7199 | − | 19.3393i | −0.503667 | − | 0.908639i | ||||
\(454\) | 25.3791 | − | 6.32772i | 1.19110 | − | 0.296975i | ||||
\(455\) | 36.1349 | + | 23.8523i | 1.69403 | + | 1.11821i | ||||
\(456\) | −3.78965 | − | 7.55336i | −0.177467 | − | 0.353719i | ||||
\(457\) | −18.8787 | + | 18.8787i | −0.883108 | + | 0.883108i | −0.993849 | − | 0.110741i | \(-0.964677\pi\) |
0.110741 | + | 0.993849i | \(0.464677\pi\) | |||||||
\(458\) | 18.5184 | − | 16.0978i | 0.865310 | − | 0.752203i | ||||
\(459\) | 0.563350 | + | 0.721054i | 0.0262949 | + | 0.0336559i | ||||
\(460\) | 6.89235 | + | 8.33985i | 0.321358 | + | 0.388848i | ||||
\(461\) | −15.1656 | − | 8.06371i | −0.706334 | − | 0.375564i | 0.0771138 | − | 0.997022i | \(-0.475430\pi\) |
−0.783447 | + | 0.621458i | \(0.786541\pi\) | |||||||
\(462\) | 22.0930 | + | 23.6918i | 1.02786 | + | 1.10224i | ||||
\(463\) | −11.7276 | + | 0.614618i | −0.545028 | + | 0.0285637i | −0.322864 | − | 0.946445i | \(-0.604646\pi\) |
−0.222164 | + | 0.975009i | \(0.571312\pi\) | |||||||
\(464\) | −3.43651 | − | 3.81663i | −0.159536 | − | 0.177183i | ||||
\(465\) | 22.0165 | + | 33.1733i | 1.02099 | + | 1.53837i | ||||
\(466\) | 10.5763 | − | 16.9256i | 0.489936 | − | 0.784062i | ||||
\(467\) | 31.7867 | + | 25.7403i | 1.47091 | + | 1.19112i | 0.938808 | + | 0.344440i | \(0.111931\pi\) |
0.532103 | + | 0.846680i | \(0.321402\pi\) | |||||||
\(468\) | 3.30619 | + | 0.885890i | 0.152828 | + | 0.0409503i | ||||
\(469\) | 61.1846 | − | 17.5444i | 2.82524 | − | 0.810125i | ||||
\(470\) | −4.52189 | + | 9.51088i | −0.208579 | + | 0.438704i | ||||
\(471\) | −7.44832 | − | 3.63279i | −0.343201 | − | 0.167390i | ||||
\(472\) | 7.05097 | − | 3.90842i | 0.324547 | − | 0.179900i | ||||
\(473\) | −4.77028 | − | 1.10131i | −0.219338 | − | 0.0506381i | ||||
\(474\) | 3.53047 | 0.162160 | ||||||||
\(475\) | −21.7469 | + | 1.43938i | −0.997817 | + | 0.0660433i | ||||
\(476\) | −0.903772 | −0.0414243 | ||||||||
\(477\) | 6.11877 | + | 1.41263i | 0.280159 | + | 0.0646798i | ||||
\(478\) | −20.8461 | + | 11.5552i | −0.953479 | + | 0.528522i | ||||
\(479\) | −12.8089 | − | 6.24732i | −0.585254 | − | 0.285447i | 0.121860 | − | 0.992547i | \(-0.461114\pi\) |
−0.707114 | + | 0.707100i | \(0.750003\pi\) | |||||||
\(480\) | 4.29875 | + | 0.560481i | 0.196210 | + | 0.0255823i | ||||
\(481\) | −3.66966 | + | 1.05226i | −0.167322 | + | 0.0479789i | ||||
\(482\) | 0.141117 | + | 0.0378121i | 0.00642769 | + | 0.00172229i | ||||
\(483\) | −31.2882 | − | 25.3367i | −1.42366 | − | 1.15286i | ||||
\(484\) | −2.20293 | + | 3.52543i | −0.100133 | + | 0.160247i | ||||
\(485\) | 0.0172152 | − | 0.405922i | 0.000781700 | − | 0.0184319i | ||||
\(486\) | 5.15849 | + | 5.72908i | 0.233994 | + | 0.259876i | ||||
\(487\) | −1.10544 | + | 0.0579335i | −0.0500921 | + | 0.00262522i | −0.0773655 | − | 0.997003i | \(-0.524651\pi\) |
0.0272734 | + | 0.999628i | \(0.491318\pi\) | |||||||
\(488\) | 6.18677 | + | 6.63450i | 0.280062 | + | 0.300330i | ||||
\(489\) | −3.01093 | − | 1.60094i | −0.136159 | − | 0.0723969i | ||||
\(490\) | −24.7307 | − | 6.36285i | −1.11722 | − | 0.287444i | ||||
\(491\) | 7.59421 | + | 9.72015i | 0.342722 | + | 0.438664i | 0.928232 | − | 0.372001i | \(-0.121328\pi\) |
−0.585510 | + | 0.810665i | \(0.699106\pi\) | |||||||
\(492\) | 14.6305 | − | 12.7181i | 0.659592 | − | 0.573375i | ||||
\(493\) | 0.764725 | − | 0.764725i | 0.0344415 | − | 0.0344415i | ||||
\(494\) | −7.79639 | + | 18.0541i | −0.350776 | + | 0.812295i | ||||
\(495\) | 5.16367 | − | 4.11791i | 0.232090 | − | 0.185086i | ||||
\(496\) | 8.91134 | − | 2.22185i | 0.400131 | − | 0.0997639i | ||||
\(497\) | −19.0281 | − | 34.3276i | −0.853528 | − | 1.53980i | ||||
\(498\) | 6.14643 | + | 8.15658i | 0.275428 | + | 0.365505i | ||||
\(499\) | −29.6840 | − | 5.23408i | −1.32884 | − | 0.234310i | −0.536245 | − | 0.844062i | \(-0.680158\pi\) |
−0.792592 | + | 0.609753i | \(0.791269\pi\) | |||||||
\(500\) | 5.63833 | − | 9.65449i | 0.252154 | − | 0.431762i | ||||
\(501\) | 15.6367 | + | 27.0836i | 0.698597 | + | 1.21001i | ||||
\(502\) | 0.159022 | − | 3.03432i | 0.00709749 | − | 0.135428i | ||||
\(503\) | −25.7219 | − | 22.3597i | −1.14688 | − | 0.996971i | −0.999969 | − | 0.00782234i | \(-0.997510\pi\) |
−0.146915 | − | 0.989149i | \(-0.546934\pi\) | |||||||
\(504\) | −3.24818 | + | 0.227135i | −0.144685 | + | 0.0101174i | ||||
\(505\) | 10.0586 | − | 1.51610i | 0.447600 | − | 0.0674657i | ||||
\(506\) | 7.66190 | − | 17.2089i | 0.340613 | − | 0.765029i | ||||
\(507\) | −6.02587 | − | 12.9225i | −0.267618 | − | 0.573910i | ||||
\(508\) | 1.20063 | + | 0.413409i | 0.0532692 | + | 0.0183421i | ||||
\(509\) | −39.5058 | + | 21.0056i | −1.75107 | + | 0.931058i | −0.814818 | + | 0.579717i | \(0.803163\pi\) |
−0.936248 | + | 0.351341i | \(0.885726\pi\) | |||||||
\(510\) | −0.0704876 | + | 0.910158i | −0.00312124 | + | 0.0403025i | ||||
\(511\) | −32.9351 | + | 20.5801i | −1.45696 | + | 0.910411i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −15.7682 | + | 10.4937i | −0.696185 | + | 0.463310i | ||||
\(514\) | −6.14008 | − | 1.99503i | −0.270828 | − | 0.0879972i | ||||
\(515\) | −1.55878 | − | 11.7269i | −0.0686880 | − | 0.516751i | ||||
\(516\) | 1.92115 | − | 1.50097i | 0.0845739 | − | 0.0660764i | ||||
\(517\) | 18.3329 | − | 0.320002i | 0.806280 | − | 0.0140737i | ||||
\(518\) | 2.97485 | − | 2.08301i | 0.130707 | − | 0.0915222i | ||||
\(519\) | −1.77820 | − | 6.20133i | −0.0780545 | − | 0.272208i | ||||
\(520\) | −5.43103 | − | 8.50156i | −0.238166 | − | 0.372818i | ||||
\(521\) | −11.9187 | − | 26.7697i | −0.522166 | − | 1.17280i | −0.961581 | − | 0.274520i | \(-0.911481\pi\) |
0.439416 | − | 0.898284i | \(-0.355186\pi\) | |||||||
\(522\) | 2.55625 | − | 2.94063i | 0.111884 | − | 0.128708i | ||||
\(523\) | 30.0637 | + | 12.7613i | 1.31459 | + | 0.558012i | 0.930841 | − | 0.365424i | \(-0.119076\pi\) |
0.383752 | + | 0.923436i | \(0.374632\pi\) | |||||||
\(524\) | −9.33300 | − | 5.38841i | −0.407714 | − | 0.235394i | ||||
\(525\) | −13.4466 | + | 39.3709i | −0.586858 | + | 1.71828i | ||||
\(526\) | −7.42360 | + | 20.3962i | −0.323684 | + | 0.889315i | ||||
\(527\) | 0.565441 | + | 1.84947i | 0.0246310 | + | 0.0805644i | ||||
\(528\) | −2.45735 | − | 7.13667i | −0.106942 | − | 0.310583i | ||||
\(529\) | −0.113434 | + | 0.395592i | −0.00493192 | + | 0.0171996i | ||||
\(530\) | −10.5024 | − | 15.2403i | −0.456195 | − | 0.661995i | ||||
\(531\) | 3.59502 | + | 4.94812i | 0.156011 | + | 0.214730i | ||||
\(532\) | 1.42102 | − | 18.6537i | 0.0616091 | − | 0.808742i | ||||
\(533\) | −44.5566 | − | 7.05707i | −1.92996 | − | 0.305675i | ||||
\(534\) | 5.22365 | − | 12.9290i | 0.226050 | − | 0.559492i | ||||
\(535\) | 8.56561 | + | 35.4831i | 0.370324 | + | 1.53407i | ||||
\(536\) | −14.6861 | − | 2.06400i | −0.634344 | − | 0.0891512i | ||||
\(537\) | −15.3616 | + | 20.3855i | −0.662902 | + | 0.879701i | ||||
\(538\) | 12.5927 | − | 11.7429i | 0.542911 | − | 0.506272i | ||||
\(539\) | 9.24392 | + | 43.4892i | 0.398164 | + | 1.87321i | ||||
\(540\) | 0.0726597 | − | 9.71618i | 0.00312678 | − | 0.418118i | ||||
\(541\) | 17.6442 | + | 11.0253i | 0.758583 | + | 0.474015i | 0.853255 | − | 0.521493i | \(-0.174625\pi\) |
−0.0946724 | + | 0.995508i | \(0.530180\pi\) | |||||||
\(542\) | −12.3831 | + | 7.44051i | −0.531899 | + | 0.319597i | ||||
\(543\) | 17.0156 | − | 4.55931i | 0.730208 | − | 0.195659i | ||||
\(544\) | 0.192373 | + | 0.0856498i | 0.00824791 | + | 0.00367220i | ||||
\(545\) | 29.8300 | − | 22.1307i | 1.27777 | − | 0.947975i | ||||
\(546\) | 26.0774 | + | 27.0040i | 1.11601 | + | 1.15566i | ||||
\(547\) | −37.0044 | + | 12.7416i | −1.58219 | + | 0.544793i | −0.969408 | − | 0.245456i | \(-0.921062\pi\) |
−0.612786 | + | 0.790249i | \(0.709951\pi\) | |||||||
\(548\) | 6.26319 | − | 6.71645i | 0.267550 | − | 0.286912i | ||||
\(549\) | −4.42386 | + | 5.27215i | −0.188806 | + | 0.225010i | ||||
\(550\) | −19.4220 | − | 1.30939i | −0.828156 | − | 0.0558325i | ||||
\(551\) | 14.5814 | + | 16.9862i | 0.621190 | + | 0.723637i | ||||
\(552\) | 4.25872 | + | 8.35820i | 0.181263 | + | 0.355749i | ||||
\(553\) | 6.69926 | + | 4.02532i | 0.284882 | + | 0.171174i | ||||
\(554\) | −5.62999 | − | 1.61437i | −0.239195 | − | 0.0685881i | ||||
\(555\) | −1.86571 | − | 3.15832i | −0.0791950 | − | 0.134063i | ||||
\(556\) | −2.48767 | − | 5.10048i | −0.105501 | − | 0.216309i | ||||
\(557\) | −19.4249 | + | 9.05800i | −0.823061 | + | 0.383800i | −0.788068 | − | 0.615588i | \(-0.788919\pi\) |
−0.0349930 | + | 0.999388i | \(0.511141\pi\) | |||||||
\(558\) | 2.49701 | + | 6.50495i | 0.105707 | + | 0.275376i | ||||
\(559\) | −5.54941 | − | 1.17956i | −0.234715 | − | 0.0498902i | ||||
\(560\) | 7.51806 | + | 5.96483i | 0.317696 | + | 0.252060i | ||||
\(561\) | 1.47368 | − | 0.595407i | 0.0622190 | − | 0.0251381i | ||||
\(562\) | 15.1890 | − | 9.86388i | 0.640711 | − | 0.416083i | ||||
\(563\) | 0.150701 | + | 2.87555i | 0.00635130 | + | 0.121190i | 0.999965 | + | 0.00835549i | \(0.00265967\pi\) |
−0.993614 | + | 0.112835i | \(0.964007\pi\) | |||||||
\(564\) | −5.62145 | + | 7.19512i | −0.236706 | + | 0.302969i | ||||
\(565\) | 5.82819 | − | 0.159899i | 0.245194 | − | 0.00672699i | ||||
\(566\) | 11.7844 | + | 22.1632i | 0.495335 | + | 0.931591i | ||||
\(567\) | 8.76286 | + | 45.0810i | 0.368005 | + | 1.89322i | ||||
\(568\) | 0.797030 | + | 9.11010i | 0.0334426 | + | 0.382251i | ||||
\(569\) | 28.2444 | − | 20.5208i | 1.18407 | − | 0.860276i | 0.191443 | − | 0.981504i | \(-0.438683\pi\) |
0.992625 | + | 0.121228i | \(0.0386833\pi\) | |||||||
\(570\) | −18.6747 | − | 2.88592i | −0.782198 | − | 0.120878i | ||||
\(571\) | 27.0186 | + | 19.6301i | 1.13069 | + | 0.821495i | 0.985795 | − | 0.167951i | \(-0.0537152\pi\) |
0.144896 | + | 0.989447i | \(0.453715\pi\) | |||||||
\(572\) | −9.04645 | + | 15.0558i | −0.378251 | + | 0.629515i | ||||
\(573\) | 8.19068 | + | 7.63793i | 0.342170 | + | 0.319079i | ||||
\(574\) | 42.2628 | − | 7.45207i | 1.76402 | − | 0.311044i | ||||
\(575\) | 24.1295 | − | 1.74786i | 1.00627 | − | 0.0728908i | ||||
\(576\) | 0.712917 | + | 0.259480i | 0.0297049 | + | 0.0108117i | ||||
\(577\) | 0.602924 | − | 0.928421i | 0.0251000 | − | 0.0386507i | −0.825898 | − | 0.563820i | \(-0.809331\pi\) |
0.850998 | + | 0.525169i | \(0.175998\pi\) | |||||||
\(578\) | 6.07636 | − | 15.8295i | 0.252743 | − | 0.658419i | ||||
\(579\) | −2.21059 | − | 31.6129i | −0.0918689 | − | 1.31379i | ||||
\(580\) | −11.4085 | + | 1.31427i | −0.473713 | + | 0.0545720i | ||||
\(581\) | 2.36332 | + | 22.4855i | 0.0980471 | + | 0.932856i | ||||
\(582\) | 0.0911718 | − | 0.340258i | 0.00377919 | − | 0.0141041i | ||||
\(583\) | −15.6231 | + | 28.1848i | −0.647042 | + | 1.16729i | ||||
\(584\) | 8.96076 | − | 1.25935i | 0.370799 | − | 0.0521124i | ||||
\(585\) | 5.89966 | − | 4.87569i | 0.243921 | − | 0.201585i | ||||
\(586\) | 0.617284 | + | 17.6767i | 0.0254998 | + | 0.730218i | ||||
\(587\) | 3.37750 | + | 7.95690i | 0.139404 | + | 0.328416i | 0.975442 | − | 0.220256i | \(-0.0706891\pi\) |
−0.836038 | + | 0.548672i | \(0.815134\pi\) | |||||||
\(588\) | −19.7273 | − | 10.0516i | −0.813539 | − | 0.414519i | ||||
\(589\) | −39.0620 | + | 8.76267i | −1.60952 | + | 0.361059i | ||||
\(590\) | 2.01831 | − | 17.9133i | 0.0830925 | − | 0.737479i | ||||
\(591\) | −13.8044 | − | 5.57736i | −0.567839 | − | 0.229422i | ||||
\(592\) | −0.830617 | + | 0.161456i | −0.0341381 | + | 0.00663578i | ||||
\(593\) | 19.6678 | − | 28.0885i | 0.807658 | − | 1.15346i | −0.177888 | − | 0.984051i | \(-0.556927\pi\) |
0.985547 | − | 0.169405i | \(-0.0541845\pi\) | |||||||
\(594\) | −15.2052 | + | 7.41606i | −0.623876 | + | 0.304284i | ||||
\(595\) | −1.17148 | + | 1.64671i | −0.0480262 | + | 0.0675084i | ||||
\(596\) | 1.97883 | − | 18.8273i | 0.0810560 | − | 0.771196i | ||||
\(597\) | −10.7237 | − | 4.11644i | −0.438892 | − | 0.168475i | ||||
\(598\) | 8.52950 | − | 20.0942i | 0.348797 | − | 0.821714i | ||||
\(599\) | −11.3021 | + | 9.48356i | −0.461790 | + | 0.387488i | −0.843789 | − | 0.536675i | \(-0.819680\pi\) |
0.381999 | + | 0.924163i | \(0.375236\pi\) | |||||||
\(600\) | 6.59333 | − | 7.10597i | 0.269171 | − | 0.290100i | ||||
\(601\) | 4.49685 | − | 2.59626i | 0.183430 | − | 0.105904i | −0.405473 | − | 0.914107i | \(-0.632893\pi\) |
0.588903 | + | 0.808203i | \(0.299560\pi\) | |||||||
\(602\) | 5.35684 | − | 0.657737i | 0.218328 | − | 0.0268073i | ||||
\(603\) | 0.196364 | − | 11.2497i | 0.00799657 | − | 0.458123i | ||||
\(604\) | −4.99973 | + | 10.2510i | −0.203436 | + | 0.417106i | ||||
\(605\) | 3.56798 | + | 8.58354i | 0.145059 | + | 0.348971i | ||||
\(606\) | 8.79805 | + | 0.615220i | 0.357397 | + | 0.0249916i | ||||
\(607\) | −7.23760 | − | 7.23760i | −0.293765 | − | 0.293765i | 0.544801 | − | 0.838566i | \(-0.316605\pi\) |
−0.838566 | + | 0.544801i | \(0.816605\pi\) | |||||||
\(608\) | −2.07027 | + | 3.83588i | −0.0839607 | + | 0.155565i | ||||
\(609\) | 40.6421 | − | 13.2054i | 1.64690 | − | 0.535111i | ||||
\(610\) | 20.1077 | − | 2.67278i | 0.814137 | − | 0.108218i | ||||
\(611\) | 21.2351 | − | 0.741547i | 0.859081 | − | 0.0299998i | ||||
\(612\) | −0.0467091 | + | 0.152779i | −0.00188810 | + | 0.00617570i | ||||
\(613\) | −31.2313 | − | 23.5345i | −1.26142 | − | 0.950549i | −0.261528 | − | 0.965196i | \(-0.584226\pi\) |
−0.999893 | + | 0.0146473i | \(0.995337\pi\) | |||||||
\(614\) | 11.9922 | + | 9.36930i | 0.483964 | + | 0.378114i | ||||
\(615\) | −4.20854 | − | 43.1426i | −0.169705 | − | 1.73968i | ||||
\(616\) | 3.47402 | − | 16.3440i | 0.139972 | − | 0.658518i | ||||
\(617\) | −10.0930 | − | 16.7976i | −0.406329 | − | 0.676245i | 0.584496 | − | 0.811397i | \(-0.301292\pi\) |
−0.990825 | + | 0.135152i | \(0.956848\pi\) | |||||||
\(618\) | 0.893955 | − | 10.2180i | 0.0359602 | − | 0.411026i | ||||
\(619\) | −32.0747 | + | 3.37119i | −1.28919 | + | 0.135499i | −0.724196 | − | 0.689594i | \(-0.757789\pi\) |
−0.564996 | + | 0.825094i | \(0.691122\pi\) | |||||||
\(620\) | 7.50275 | − | 19.1168i | 0.301318 | − | 0.767749i | ||||
\(621\) | 17.4306 | − | 11.7571i | 0.699465 | − | 0.471795i | ||||
\(622\) | −14.1074 | − | 0.246246i | −0.565657 | − | 0.00987358i | ||||
\(623\) | 24.6534 | − | 18.5776i | 0.987716 | − | 0.744297i | ||||
\(624\) | −2.99157 | − | 8.21927i | −0.119759 | − | 0.329034i | ||||
\(625\) | −10.2824 | − | 22.7876i | −0.411294 | − | 0.911503i | ||||
\(626\) | 23.0078i | 0.919578i | ||||||||
\(627\) | 9.97202 | + | 31.3528i | 0.398244 | + | 1.25211i | ||||
\(628\) | 0.668673 | + | 4.22183i | 0.0266830 | + | 0.168470i | ||||
\(629\) | −0.0431065 | − | 0.172891i | −0.00171877 | − | 0.00689360i | ||||
\(630\) | −3.79649 | + | 6.21271i | −0.151256 | + | 0.247520i | ||||
\(631\) | −2.88712 | − | 2.78806i | −0.114934 | − | 0.110991i | 0.634971 | − | 0.772536i | \(-0.281012\pi\) |
−0.749905 | + | 0.661545i | \(0.769901\pi\) | |||||||
\(632\) | −1.04450 | − | 1.49170i | −0.0415478 | − | 0.0593365i | ||||
\(633\) | 12.4876 | + | 6.92200i | 0.496338 | + | 0.275125i | ||||
\(634\) | 12.4145 | + | 11.1780i | 0.493041 | + | 0.443936i | ||||
\(635\) | 2.30952 | − | 1.65172i | 0.0916505 | − | 0.0655465i | ||||
\(636\) | −6.01146 | − | 14.8789i | −0.238370 | − | 0.589986i | ||||
\(637\) | 11.5901 | + | 50.2023i | 0.459217 | + | 1.98909i | ||||
\(638\) | 10.8899 | + | 16.7690i | 0.431135 | + | 0.663890i | ||||
\(639\) | −6.78635 | + | 1.44248i | −0.268464 | + | 0.0570637i | ||||
\(640\) | −1.03498 | − | 1.98213i | −0.0409111 | − | 0.0783504i | ||||
\(641\) | −0.123641 | − | 0.879752i | −0.00488353 | − | 0.0347481i | 0.987674 | − | 0.156526i | \(-0.0500294\pi\) |
−0.992557 | + | 0.121778i | \(0.961141\pi\) | |||||||
\(642\) | 0.552342 | + | 31.6436i | 0.0217992 | + | 1.24887i | ||||
\(643\) | 39.5864 | + | 18.4594i | 1.56114 | + | 0.727969i | 0.995326 | − | 0.0965670i | \(-0.0307862\pi\) |
0.565809 | + | 0.824536i | \(0.308564\pi\) | |||||||
\(644\) | −1.44859 | + | 20.7158i | −0.0570824 | + | 0.816316i | ||||
\(645\) | −0.244590 | − | 5.44598i | −0.00963072 | − | 0.214435i | ||||
\(646\) | −0.829461 | − | 0.393082i | −0.0326347 | − | 0.0154656i | ||||
\(647\) | 5.92586 | − | 0.938565i | 0.232970 | − | 0.0368988i | −0.0388579 | − | 0.999245i | \(-0.512372\pi\) |
0.271828 | + | 0.962346i | \(0.412372\pi\) | |||||||
\(648\) | 2.40707 | − | 10.4262i | 0.0945588 | − | 0.409579i | ||||
\(649\) | −29.4933 | + | 10.7347i | −1.15771 | + | 0.421374i | ||||
\(650\) | −22.5300 | − | 1.12434i | −0.883698 | − | 0.0441001i | ||||
\(651\) | −13.2700 | + | 75.2581i | −0.520094 | + | 2.94960i | ||||
\(652\) | 0.214359 | + | 1.74582i | 0.00839496 | + | 0.0683715i | ||||
\(653\) | −6.64965 | + | 5.38478i | −0.260221 | + | 0.210723i | −0.750548 | − | 0.660816i | \(-0.770211\pi\) |
0.490327 | + | 0.871538i | \(0.336877\pi\) | |||||||
\(654\) | 29.4197 | − | 13.0985i | 1.15040 | − | 0.512191i | ||||
\(655\) | −21.9155 | + | 10.0205i | −0.856309 | + | 0.391534i | ||||
\(656\) | −9.70209 | − | 2.41900i | −0.378803 | − | 0.0944462i | ||||
\(657\) | 1.77681 | + | 6.63115i | 0.0693200 | + | 0.258706i | ||||
\(658\) | −18.8706 | + | 7.24376i | −0.735654 | + | 0.282391i | ||||
\(659\) | 0.416961 | − | 11.9402i | 0.0162425 | − | 0.465124i | −0.963834 | − | 0.266503i | \(-0.914132\pi\) |
0.980076 | − | 0.198621i | \(-0.0636462\pi\) | |||||||
\(660\) | −16.1885 | − | 4.77328i | −0.630138 | − | 0.185800i | ||||
\(661\) | 3.84993 | − | 27.3937i | 0.149745 | − | 1.06549i | −0.759881 | − | 0.650063i | \(-0.774743\pi\) |
0.909626 | − | 0.415429i | \(-0.136369\pi\) | |||||||
\(662\) | 13.4009 | + | 1.64542i | 0.520840 | + | 0.0639511i | ||||
\(663\) | 1.69546 | − | 0.719679i | 0.0658461 | − | 0.0279500i | ||||
\(664\) | 1.62789 | − | 5.01013i | 0.0631744 | − | 0.194431i | ||||
\(665\) | −32.1459 | − | 26.7685i | −1.24656 | − | 1.03804i | ||||
\(666\) | −0.198376 | − | 0.610539i | −0.00768692 | − | 0.0236579i | ||||
\(667\) | −16.3029 | − | 18.7543i | −0.631251 | − | 0.726171i | ||||
\(668\) | 6.81721 | − | 14.6196i | 0.263766 | − | 0.565648i | ||||
\(669\) | −27.8721 | + | 28.8624i | −1.07760 | + | 1.11588i | ||||
\(670\) | −22.7971 | + | 24.0833i | −0.880729 | + | 0.930418i | ||||
\(671\) | −19.7492 | − | 29.2795i | −0.762411 | − | 1.13032i | ||||
\(672\) | 5.23642 | + | 6.46644i | 0.201999 | + | 0.249448i | ||||
\(673\) | 29.4768 | + | 1.54482i | 1.13625 | + | 0.0595483i | 0.611165 | − | 0.791503i | \(-0.290701\pi\) |
0.525083 | + | 0.851051i | \(0.324034\pi\) | |||||||
\(674\) | 9.06242 | + | 10.8002i | 0.349071 | + | 0.416007i | ||||
\(675\) | −17.6091 | − | 12.7267i | −0.677773 | − | 0.489850i | ||||
\(676\) | −3.67726 | + | 6.36921i | −0.141433 | + | 0.244970i | ||||
\(677\) | 39.8531 | + | 25.8809i | 1.53168 | + | 0.994684i | 0.987836 | + | 0.155496i | \(0.0496977\pi\) |
0.543842 | + | 0.839187i | \(0.316969\pi\) | |||||||
\(678\) | 4.96222 | + | 0.964558i | 0.190573 | + | 0.0370436i | ||||
\(679\) | 0.560954 | − | 0.541707i | 0.0215274 | − | 0.0207888i | ||||
\(680\) | 0.405414 | − | 0.239489i | 0.0155469 | − | 0.00918400i | ||||
\(681\) | 28.3564 | − | 42.0401i | 1.08662 | − | 1.61098i | ||||
\(682\) | −35.6198 | + | 3.11633i | −1.36395 | + | 0.119330i | ||||
\(683\) | −0.739963 | + | 4.67194i | −0.0283139 | + | 0.178767i | −0.997792 | − | 0.0664091i | \(-0.978846\pi\) |
0.969479 | + | 0.245176i | \(0.0788458\pi\) | |||||||
\(684\) | −3.07989 | − | 1.20429i | −0.117762 | − | 0.0460471i | ||||
\(685\) | −4.11916 | − | 20.1177i | −0.157385 | − | 0.768659i | ||||
\(686\) | −10.0528 | − | 16.0878i | −0.383816 | − | 0.614235i | ||||
\(687\) | 5.79744 | − | 47.2164i | 0.221186 | − | 1.80142i | ||||
\(688\) | −1.20256 | − | 0.367661i | −0.0458473 | − | 0.0140169i | ||||
\(689\) | −17.5318 | + | 32.9726i | −0.667909 | + | 1.25615i | ||||
\(690\) | 20.7492 | + | 3.07451i | 0.789908 | + | 0.117044i | ||||
\(691\) | 1.53076 | − | 1.70008i | 0.0582329 | − | 0.0646742i | −0.713324 | − | 0.700834i | \(-0.752811\pi\) |
0.771557 | + | 0.636160i | \(0.219478\pi\) | |||||||
\(692\) | −2.09410 | + | 2.58600i | −0.0796059 | + | 0.0983050i | ||||
\(693\) | 12.6285 | + | 1.10485i | 0.479716 | + | 0.0419697i | ||||
\(694\) | −0.765847 | + | 3.07164i | −0.0290711 | + | 0.116598i | ||||
\(695\) | −12.5178 | − | 2.07870i | −0.474829 | − | 0.0788497i | ||||
\(696\) | −9.90236 | − | 1.04078i | −0.375348 | − | 0.0394506i | ||||
\(697\) | 0.401766 | − | 2.06691i | 0.0152180 | − | 0.0782897i | ||||
\(698\) | −17.8772 | + | 5.46561i | −0.676663 | + | 0.206877i | ||||
\(699\) | −6.71908 | − | 38.1058i | −0.254139 | − | 1.44129i | ||||
\(700\) | 20.6132 | − | 5.96648i | 0.779105 | − | 0.225512i | ||||
\(701\) | −16.8643 | − | 14.1508i | −0.636956 | − | 0.534469i | 0.266126 | − | 0.963938i | \(-0.414256\pi\) |
−0.903082 | + | 0.429469i | \(0.858701\pi\) | |||||||
\(702\) | −17.4676 | + | 8.90021i | −0.659274 | + | 0.335917i | ||||
\(703\) | 3.63622 | − | 0.617872i | 0.137143 | − | 0.0233035i | ||||
\(704\) | −2.28837 | + | 3.14968i | −0.0862463 | + | 0.118708i | ||||
\(705\) | 5.82317 | + | 19.5689i | 0.219313 | + | 0.737009i | ||||
\(706\) | 14.0790 | + | 9.49643i | 0.529872 | + | 0.357403i | ||||
\(707\) | 15.9933 | + | 11.1987i | 0.601491 | + | 0.421169i | ||||
\(708\) | 5.08849 | − | 14.7780i | 0.191237 | − | 0.555393i | ||||
\(709\) | 17.3914 | + | 0.607322i | 0.653148 | + | 0.0228084i | 0.359558 | − | 0.933123i | \(-0.382928\pi\) |
0.293591 | + | 0.955931i | \(0.405150\pi\) | |||||||
\(710\) | 17.6321 | + | 10.3564i | 0.661719 | + | 0.388670i | ||||
\(711\) | 1.02670 | − | 0.924441i | 0.0385041 | − | 0.0346693i | ||||
\(712\) | −7.00819 | + | 1.61797i | −0.262643 | + | 0.0606359i | ||||
\(713\) | 43.2990 | − | 9.99636i | 1.62156 | − | 0.374367i | ||||
\(714\) | −1.30212 | + | 1.17243i | −0.0487304 | + | 0.0438771i | ||||
\(715\) | 15.7061 | + | 35.9986i | 0.587375 | + | 1.34627i | ||||
\(716\) | 13.1581 | + | 0.459489i | 0.491740 | + | 0.0171719i | ||||
\(717\) | −15.0441 | + | 43.6911i | −0.561831 | + | 1.63167i | ||||
\(718\) | 14.6995 | + | 10.2927i | 0.548580 | + | 0.384120i | ||||
\(719\) | −29.0779 | − | 19.6133i | −1.08442 | − | 0.731452i | −0.119196 | − | 0.992871i | \(-0.538032\pi\) |
−0.965225 | + | 0.261419i | \(0.915810\pi\) | |||||||
\(720\) | 1.39688 | − | 0.962618i | 0.0520586 | − | 0.0358746i | ||||
\(721\) | 13.3465 | − | 18.3699i | 0.497049 | − | 0.684130i | ||||
\(722\) | 9.41735 | − | 16.5019i | 0.350478 | − | 0.614138i | ||||
\(723\) | 0.252367 | − | 0.128587i | 0.00938563 | − | 0.00478222i | ||||
\(724\) | −6.96049 | − | 5.84054i | −0.258685 | − | 0.217062i | ||||
\(725\) | −12.3933 | + | 22.4903i | −0.460275 | + | 0.835270i | ||||
\(726\) | 1.39952 | + | 7.93706i | 0.0519410 | + | 0.294572i | ||||
\(727\) | 22.4692 | − | 6.86954i | 0.833338 | − | 0.254777i | 0.153509 | − | 0.988147i | \(-0.450943\pi\) |
0.679829 | + | 0.733370i | \(0.262054\pi\) | |||||||
\(728\) | 3.69467 | − | 19.0074i | 0.136933 | − | 0.704461i | ||||
\(729\) | −17.0612 | − | 1.79320i | −0.631896 | − | 0.0664149i | ||||
\(730\) | 9.32051 | − | 17.9592i | 0.344968 | − | 0.664701i | ||||
\(731\) | 0.0640619 | − | 0.256938i | 0.00236942 | − | 0.00950321i | ||||
\(732\) | 17.5203 | + | 1.53283i | 0.647570 | + | 0.0566550i | ||||
\(733\) | −32.0451 | + | 39.5723i | −1.18361 | + | 1.46164i | −0.327496 | + | 0.944853i | \(0.606205\pi\) |
−0.856115 | + | 0.516785i | \(0.827129\pi\) | |||||||
\(734\) | −25.5782 | + | 28.4074i | −0.944107 | + | 1.04854i | ||||
\(735\) | −43.8851 | + | 22.9148i | −1.61873 | + | 0.845227i | ||||
\(736\) | 2.27156 | − | 4.27218i | 0.0837308 | − | 0.157475i | ||||
\(737\) | 55.2152 | + | 16.8810i | 2.03388 | + | 0.621819i | ||||
\(738\) | 0.924504 | − | 7.52948i | 0.0340314 | − | 0.277164i | ||||
\(739\) | 12.0301 | + | 19.2522i | 0.442534 | + | 0.708202i | 0.991850 | − | 0.127413i | \(-0.0406673\pi\) |
−0.549316 | + | 0.835615i | \(0.685112\pi\) | |||||||
\(740\) | −0.782482 | + | 1.72270i | −0.0287646 | + | 0.0633276i | ||||
\(741\) | 12.1883 | + | 36.1256i | 0.447748 | + | 1.32711i | ||||
\(742\) | 5.55732 | − | 35.0875i | 0.204016 | − | 1.28810i | ||||
\(743\) | 27.1462 | − | 2.37498i | 0.995897 | − | 0.0871297i | 0.422462 | − | 0.906381i | \(-0.361166\pi\) |
0.573435 | + | 0.819251i | \(0.305610\pi\) | |||||||
\(744\) | 9.95676 | − | 14.7615i | 0.365032 | − | 0.541183i | ||||
\(745\) | −31.7391 | − | 28.0098i | −1.16283 | − | 1.02620i | ||||
\(746\) | −2.24537 | + | 2.16833i | −0.0822090 | + | 0.0793883i | ||||
\(747\) | 3.92321 | + | 0.762596i | 0.143543 | + | 0.0279019i | ||||
\(748\) | −0.687563 | − | 0.446509i | −0.0251398 | − | 0.0163260i | ||||
\(749\) | −35.0309 | + | 60.6753i | −1.28000 | + | 2.21703i | ||||
\(750\) | −4.40096 | − | 21.2242i | −0.160700 | − | 0.774997i | ||||
\(751\) | −8.08244 | − | 9.63228i | −0.294933 | − | 0.351487i | 0.598146 | − | 0.801387i | \(-0.295904\pi\) |
−0.893079 | + | 0.449900i | \(0.851460\pi\) | |||||||
\(752\) | 4.70320 | + | 0.246484i | 0.171508 | + | 0.00898836i | ||||
\(753\) | −3.70719 | − | 4.57800i | −0.135098 | − | 0.166832i | ||||
\(754\) | 12.9568 | + | 19.2093i | 0.471860 | + | 0.699562i | ||||
\(755\) | 12.1969 | + | 22.3972i | 0.443891 | + | 0.815116i | ||||
\(756\) | 12.9551 | − | 13.4154i | 0.471172 | − | 0.487912i | ||||
\(757\) | 7.90660 | − | 16.9558i | 0.287370 | − | 0.616267i | −0.708634 | − | 0.705576i | \(-0.750688\pi\) |
0.996004 | + | 0.0893092i | \(0.0284659\pi\) | |||||||
\(758\) | −23.2590 | − | 26.7564i | −0.844805 | − | 0.971837i | ||||
\(759\) | −11.2855 | − | 34.7333i | −0.409639 | − | 1.26074i | ||||
\(760\) | 4.30559 | + | 8.74425i | 0.156180 | + | 0.317187i | ||||
\(761\) | 12.2070 | − | 37.5694i | 0.442505 | − | 1.36189i | −0.442692 | − | 0.896674i | \(-0.645976\pi\) |
0.885197 | − | 0.465217i | \(-0.154024\pi\) | |||||||
\(762\) | 2.26611 | − | 0.961907i | 0.0820925 | − | 0.0348462i | ||||
\(763\) | 70.7599 | + | 8.68822i | 2.56168 | + | 0.314535i | ||||
\(764\) | 0.803953 | − | 5.72042i | 0.0290860 | − | 0.206958i | ||||
\(765\) | 0.217823 | + | 0.283140i | 0.00787541 | + | 0.0102369i | ||||
\(766\) | 1.12863 | − | 32.3198i | 0.0407792 | − | 1.16776i | ||||
\(767\) | −33.9556 | + | 13.0344i | −1.22607 | + | 0.470643i | ||||
\(768\) | −0.501780 | − | 1.87267i | −0.0181064 | − | 0.0675741i | ||||
\(769\) | −19.8753 | − | 4.95546i | −0.716720 | − | 0.178698i | −0.133543 | − | 0.991043i | \(-0.542635\pi\) |
−0.583178 | + | 0.812345i | \(0.698191\pi\) | |||||||
\(770\) | −25.2763 | − | 27.5152i | −0.910894 | − | 0.991578i | ||||
\(771\) | −11.4345 | + | 5.09095i | −0.411802 | + | 0.183346i | ||||
\(772\) | −12.7031 | + | 10.2867i | −0.457194 | + | 0.370228i | ||||
\(773\) | −1.89672 | − | 15.4476i | −0.0682204 | − | 0.555611i | −0.986986 | − | 0.160807i | \(-0.948590\pi\) |
0.918765 | − | 0.394804i | \(-0.129187\pi\) | |||||||
\(774\) | 0.165667 | − | 0.939542i | 0.00595476 | − | 0.0337711i | ||||
\(775\) | −25.1063 | − | 38.4498i | −0.901846 | − | 1.38116i | ||||
\(776\) | −0.170739 | + | 0.0621440i | −0.00612918 | + | 0.00223084i | ||||
\(777\) | 1.58382 | − | 6.86027i | 0.0568191 | − | 0.246111i | ||||
\(778\) | −14.8525 | + | 2.35240i | −0.532487 | + | 0.0843376i | ||||
\(779\) | 42.0290 | + | 11.5422i | 1.50585 | + | 0.413544i | ||||
\(780\) | −18.8536 | − | 5.20321i | −0.675065 | − | 0.186305i | ||||
\(781\) | 2.48354 | − | 35.5163i | 0.0888681 | − | 1.27087i | ||||
\(782\) | 0.923429 | + | 0.430602i | 0.0330218 | + | 0.0153983i | ||||
\(783\) | 0.389480 | + | 22.3133i | 0.0139189 | + | 0.797412i | ||||
\(784\) | 1.58937 | + | 11.3089i | 0.0567631 | + | 0.403891i | ||||
\(785\) | 8.55909 | + | 4.25407i | 0.305487 | + | 0.151834i | ||||
\(786\) | −20.4368 | + | 4.34397i | −0.728955 | + | 0.154944i | ||||
\(787\) | −23.8888 | − | 36.7855i | −0.851544 | − | 1.31126i | −0.948760 | − | 0.315999i | \(-0.897660\pi\) |
0.0972158 | − | 0.995263i | \(-0.469006\pi\) | |||||||
\(788\) | 1.72752 | + | 7.48273i | 0.0615405 | + | 0.266561i | ||||
\(789\) | 15.7636 | + | 39.0163i | 0.561199 | + | 1.38902i | ||||
\(790\) | −4.07182 | − | 0.0304499i | −0.144869 | − | 0.00108336i | ||||
\(791\) | 8.31633 | + | 7.48806i | 0.295695 | + | 0.266245i | ||||
\(792\) | −2.58333 | − | 1.43196i | −0.0917947 | − | 0.0508826i | ||||
\(793\) | −23.4748 | − | 33.5255i | −0.833616 | − | 1.19053i | ||||
\(794\) | 10.0845 | + | 9.73848i | 0.357885 | + | 0.345606i | ||||
\(795\) | −34.9020 | − | 8.33316i | −1.23785 | − | 0.295547i | ||||
\(796\) | 1.43335 | + | 5.74883i | 0.0508036 | + | 0.203762i | ||||
\(797\) | −0.960195 | − | 6.06244i | −0.0340119 | − | 0.214742i | 0.964829 | − | 0.262879i | \(-0.0846719\pi\) |
−0.998841 | + | 0.0481361i | \(0.984672\pi\) | |||||||
\(798\) | −22.1515 | − | 28.7189i | −0.784153 | − | 1.01664i | ||||
\(799\) | 0.991750i | 0.0350856i | ||||||||
\(800\) | −4.95306 | − | 0.683499i | −0.175117 | − | 0.0241653i | ||||
\(801\) | −1.86632 | − | 5.12767i | −0.0659432 | − | 0.181177i | ||||
\(802\) | 2.52064 | − | 1.89944i | 0.0890068 | − | 0.0670714i | ||||
\(803\) | −35.2236 | − | 0.614831i | −1.24302 | − | 0.0216969i | ||||
\(804\) | −23.8367 | + | 16.0780i | −0.840655 | + | 0.567029i | ||||
\(805\) | 35.8673 | + | 29.4915i | 1.26415 | + | 1.03944i | ||||
\(806\) | −41.2082 | + | 4.33116i | −1.45150 | + | 0.152559i | ||||
\(807\) | 2.90941 | − | 33.2547i | 0.102416 | − | 1.17062i | ||||
\(808\) | −2.34298 | − | 3.89937i | −0.0824257 | − | 0.137179i | ||||
\(809\) | 1.09669 | − | 5.15953i | 0.0385576 | − | 0.181399i | −0.954655 | − | 0.297716i | \(-0.903775\pi\) |
0.993212 | + | 0.116316i | \(0.0371086\pi\) | |||||||
\(810\) | −15.8768 | − | 17.9004i | −0.557854 | − | 0.628955i | ||||
\(811\) | −34.2589 | − | 26.7660i | −1.20299 | − | 0.939881i | −0.203759 | − | 0.979021i | \(-0.565316\pi\) |
−0.999234 | + | 0.0391398i | \(0.987538\pi\) | |||||||
\(812\) | −17.6036 | − | 13.2653i | −0.617765 | − | 0.465519i | ||||
\(813\) | −8.18871 | + | 26.7841i | −0.287191 | + | 0.939358i | ||||
\(814\) | 3.29229 | − | 0.114969i | 0.115395 | − | 0.00402967i | ||||
\(815\) | 3.45880 | + | 1.87239i | 0.121157 | + | 0.0655869i | ||||
\(816\) | 0.388272 | − | 0.126157i | 0.0135923 | − | 0.00441639i | ||||
\(817\) | 5.20245 | + | 1.72622i | 0.182011 | + | 0.0603928i | ||||
\(818\) | −23.8461 | − | 23.8461i | −0.833759 | − | 0.833759i | ||||
\(819\) | 14.6545 | + | 1.02474i | 0.512068 | + | 0.0358073i | ||||
\(820\) | −16.9835 | + | 14.5420i | −0.593091 | + | 0.507829i | ||||
\(821\) | −6.04851 | + | 12.4013i | −0.211095 | + | 0.432808i | −0.977900 | − | 0.209071i | \(-0.932956\pi\) |
0.766806 | + | 0.641879i | \(0.221845\pi\) | |||||||
\(822\) | 0.310731 | − | 17.8018i | 0.0108380 | − | 0.620908i | ||||
\(823\) | 2.94610 | − | 0.361735i | 0.102694 | − | 0.0126093i | −0.0703589 | − | 0.997522i | \(-0.522414\pi\) |
0.173053 | + | 0.984912i | \(0.444637\pi\) | |||||||
\(824\) | −4.58177 | + | 2.64529i | −0.159614 | + | 0.0921529i | ||||
\(825\) | −29.6810 | + | 23.3089i | −1.03336 | + | 0.811512i | ||||
\(826\) | 26.5051 | − | 22.2404i | 0.922230 | − | 0.773843i | ||||
\(827\) | −10.4888 | + | 24.7100i | −0.364731 | + | 0.859251i | 0.631730 | + | 0.775189i | \(0.282345\pi\) |
−0.996460 | + | 0.0840628i | \(0.973210\pi\) | |||||||
\(828\) | 3.42704 | + | 1.31552i | 0.119098 | + | 0.0457174i | ||||
\(829\) | 0.742237 | − | 7.06192i | 0.0257790 | − | 0.245270i | −0.974042 | − | 0.226366i | \(-0.927315\pi\) |
0.999821 | − | 0.0189045i | \(-0.00601785\pi\) | |||||||
\(830\) | −7.01854 | − | 9.46029i | −0.243617 | − | 0.328372i | ||||
\(831\) | −10.2057 | + | 4.97766i | −0.354032 | + | 0.172673i | ||||
\(832\) | −2.58775 | + | 3.69569i | −0.0897140 | + | 0.128125i | ||||
\(833\) | −2.36063 | + | 0.458861i | −0.0817911 | + | 0.0158986i | ||||
\(834\) | −10.2008 | − | 4.12139i | −0.353225 | − | 0.142712i | ||||
\(835\) | −17.8008 | − | 31.3713i | −0.616022 | − | 1.08565i | ||||
\(836\) | 10.2970 | − | 13.4892i | 0.356128 | − | 0.466533i | ||||
\(837\) | −35.5585 | − | 18.1179i | −1.22908 | − | 0.626248i | ||||
\(838\) | 7.50193 | + | 17.6734i | 0.259150 | + | 0.610519i | ||||
\(839\) | −1.06528 | − | 30.5058i | −0.0367777 | − | 1.05318i | −0.867793 | − | 0.496926i | \(-0.834462\pi\) |
0.831015 | − | 0.556250i | \(-0.187760\pi\) | |||||||
\(840\) | 18.5696 | − | 1.15904i | 0.640714 | − | 0.0399908i | ||||
\(841\) | −2.59815 | + | 0.365146i | −0.0895913 | + | 0.0125912i | ||||
\(842\) | −14.4197 | + | 26.0139i | −0.496936 | + | 0.896497i | ||||
\(843\) | 9.08767 | − | 33.9156i | 0.312996 | − | 1.16812i | ||||
\(844\) | −0.769800 | − | 7.32416i | −0.0264976 | − | 0.252108i | ||||
\(845\) | 6.83840 | + | 14.9560i | 0.235248 | + | 0.514502i | ||||
\(846\) | 0.249245 | + | 3.56437i | 0.00856922 | + | 0.122546i | ||||
\(847\) | −6.39390 | + | 16.6567i | −0.219697 | + | 0.572331i | ||||
\(848\) | −4.50812 | + | 6.94190i | −0.154810 | + | 0.238386i | ||||
\(849\) | 45.7300 | + | 16.6444i | 1.56945 | + | 0.571233i | ||||
\(850\) | 0.0891459 | − | 1.04911i | 0.00305768 | − | 0.0359842i | ||||
\(851\) | −4.03200 | + | 0.710950i | −0.138215 | + | 0.0243711i | ||||
\(852\) | 12.9665 | + | 12.0915i | 0.444226 | + | 0.414247i | ||||
\(853\) | 3.09974 | − | 5.15883i | 0.106133 | − | 0.176635i | −0.799539 | − | 0.600615i | \(-0.794923\pi\) |
0.905672 | + | 0.423979i | \(0.139367\pi\) | |||||||
\(854\) | 31.4981 | + | 22.8847i | 1.07784 | + | 0.783098i | ||||
\(855\) | −6.18646 | + | 4.05065i | −0.211573 | + | 0.138529i | ||||
\(856\) | 13.2067 | − | 9.59520i | 0.451395 | − | 0.327957i | ||||
\(857\) | 2.03074 | + | 23.2115i | 0.0693687 | + | 0.792888i | 0.948597 | + | 0.316487i | \(0.102503\pi\) |
−0.879228 | + | 0.476401i | \(0.841941\pi\) | |||||||
\(858\) | 6.49762 | + | 33.4274i | 0.221825 | + | 1.14119i | ||||
\(859\) | −11.6797 | − | 21.9663i | −0.398506 | − | 0.749481i | 0.600226 | − | 0.799831i | \(-0.295077\pi\) |
−0.998732 | + | 0.0503500i | \(0.983966\pi\) | |||||||
\(860\) | −2.22868 | + | 1.71455i | −0.0759972 | + | 0.0584656i | ||||
\(861\) | 51.2231 | − | 65.5626i | 1.74568 | − | 2.23437i | ||||
\(862\) | 1.15513 | + | 22.0412i | 0.0393439 | + | 0.750726i | ||||
\(863\) | −14.5388 | + | 9.44159i | −0.494906 | + | 0.321396i | −0.767845 | − | 0.640636i | \(-0.778671\pi\) |
0.272939 | + | 0.962031i | \(0.412004\pi\) | |||||||
\(864\) | −4.02892 | + | 1.62779i | −0.137067 | + | 0.0553785i | ||||
\(865\) | 1.99738 | + | 7.16755i | 0.0679129 | + | 0.243704i | ||||
\(866\) | 8.17133 | + | 1.73687i | 0.277673 | + | 0.0590212i | ||||
\(867\) | −11.7804 | − | 30.6891i | −0.400084 | − | 1.04225i | ||||
\(868\) | 35.7240 | − | 16.6584i | 1.21255 | − | 0.565423i | ||||
\(869\) | 3.10789 | + | 6.37212i | 0.105428 | + | 0.216159i | ||||
\(870\) | −14.7319 | + | 16.6934i | −0.499460 | + | 0.565959i | ||||
\(871\) | 64.3171 | + | 18.4426i | 2.17930 | + | 0.624905i | ||||
\(872\) | −14.2382 | − | 8.55519i | −0.482167 | − | 0.289715i | ||||
\(873\) | −0.0625816 | − | 0.122823i | −0.00211807 | − | 0.00415694i | ||||
\(874\) | −10.3395 | + | 18.3824i | −0.349739 | + | 0.621795i | ||||
\(875\) | 15.8480 | − | 45.2918i | 0.535760 | − | 1.53114i | ||||
\(876\) | 11.2766 | − | 13.4389i | 0.381000 | − | 0.454058i | ||||
\(877\) | −31.1716 | + | 33.4275i | −1.05259 | + | 1.12877i | −0.0611610 | + | 0.998128i | \(0.519480\pi\) |
−0.991430 | + | 0.130638i | \(0.958297\pi\) | |||||||
\(878\) | −39.0743 | + | 13.4543i | −1.31869 | + | 0.454062i | ||||
\(879\) | 23.8207 | + | 24.6670i | 0.803452 | + | 0.831999i | ||||
\(880\) | 2.77260 | + | 8.25217i | 0.0934642 | + | 0.278180i | ||||
\(881\) | 0.0712744 | + | 0.0317334i | 0.00240130 | + | 0.00106913i | 0.407937 | − | 0.913010i | \(-0.366248\pi\) |
−0.405536 | + | 0.914079i | \(0.632915\pi\) | |||||||
\(882\) | −8.36885 | + | 2.24243i | −0.281794 | + | 0.0755064i | ||||
\(883\) | 10.3201 | − | 6.20096i | 0.347300 | − | 0.208679i | −0.330708 | − | 0.943733i | \(-0.607288\pi\) |
0.678009 | + | 0.735054i | \(0.262843\pi\) | |||||||
\(884\) | −0.805683 | − | 0.503446i | −0.0270980 | − | 0.0169327i | ||||
\(885\) | −20.3304 | − | 28.4270i | −0.683398 | − | 0.955562i | ||||
\(886\) | −6.03136 | − | 28.3753i | −0.202628 | − | 0.953288i | ||||
\(887\) | 27.9026 | − | 26.0196i | 0.936877 | − | 0.873652i | −0.0553028 | − | 0.998470i | \(-0.517612\pi\) |
0.992180 | + | 0.124818i | \(0.0398346\pi\) | |||||||
\(888\) | −0.987266 | + | 1.31015i | −0.0331305 | + | 0.0439656i | ||||
\(889\) | 5.39680 | + | 0.758471i | 0.181003 | + | 0.0254383i | ||||
\(890\) | −6.13614 | + | 14.8664i | −0.205684 | + | 0.498323i | ||||
\(891\) | −15.6058 | + | 38.6256i | −0.522812 | + | 1.29401i | ||||
\(892\) | 20.4409 | + | 3.23753i | 0.684413 | + | 0.108400i | ||||
\(893\) | −20.4696 | − | 1.55935i | −0.684989 | − | 0.0521817i | ||||
\(894\) | −21.5730 | − | 29.6926i | −0.721507 | − | 0.993070i | ||||
\(895\) | 17.8929 | − | 23.3789i | 0.598094 | − | 0.781469i | ||||
\(896\) | 1.18300 | − | 4.12560i | 0.0395212 | − | 0.137827i | ||||
\(897\) | −13.7786 | − | 40.0159i | −0.460053 | − | 1.33609i | ||||
\(898\) | 3.58493 | + | 11.7258i | 0.119631 | + | 0.391294i | ||||
\(899\) | −16.1324 | + | 44.3233i | −0.538044 | + | 1.47826i | ||||
\(900\) | 0.0567318 | − | 3.79293i | 0.00189106 | − | 0.126431i | ||||
\(901\) | −1.50949 | − | 0.871506i | −0.0502885 | − | 0.0290341i | ||||
\(902\) | 35.8340 | + | 15.2106i | 1.19314 | + | 0.506459i | ||||
\(903\) | 6.86464 | − | 7.89686i | 0.228441 | − | 0.262791i | ||||
\(904\) | −1.06054 | − | 2.38200i | −0.0352729 | − | 0.0792243i | ||||
\(905\) | −19.6640 | + | 5.11166i | −0.653653 | + | 0.169917i | ||||
\(906\) | 6.09480 | + | 21.2551i | 0.202486 | + | 0.706153i | ||||
\(907\) | −1.20278 | + | 0.842195i | −0.0399376 | + | 0.0279646i | −0.593375 | − | 0.804926i | \(-0.702205\pi\) |
0.553437 | + | 0.832891i | \(0.313316\pi\) | |||||||
\(908\) | −26.1521 | + | 0.456486i | −0.867887 | + | 0.0151490i | ||||
\(909\) | 2.71965 | − | 2.12483i | 0.0902053 | − | 0.0704761i | ||||
\(910\) | −29.8431 | − | 31.3695i | −0.989290 | − | 1.03989i | ||||
\(911\) | 3.16225 | + | 1.02748i | 0.104770 | + | 0.0340419i | 0.360933 | − | 0.932592i | \(-0.382458\pi\) |
−0.256163 | + | 0.966634i | \(0.582458\pi\) | |||||||
\(912\) | 1.99338 | + | 8.21226i | 0.0660075 | + | 0.271935i | ||||
\(913\) | −9.31103 | + | 18.2739i | −0.308150 | + | 0.604778i | ||||
\(914\) | 22.6416 | − | 14.1480i | 0.748918 | − | 0.467976i | ||||
\(915\) | 25.5030 | − | 29.9358i | 0.843104 | − | 0.989647i | ||||
\(916\) | −21.6650 | + | 11.5195i | −0.715833 | + | 0.380615i | ||||
\(917\) | −43.7327 | − | 15.0584i | −1.44418 | − | 0.497271i | ||||
\(918\) | −0.386709 | − | 0.829300i | −0.0127633 | − | 0.0273710i | ||||
\(919\) | 3.99865 | − | 8.98112i | 0.131903 | − | 0.296260i | −0.835504 | − | 0.549484i | \(-0.814824\pi\) |
0.967408 | + | 0.253224i | \(0.0814910\pi\) | |||||||
\(920\) | −4.83964 | − | 9.67655i | −0.159558 | − | 0.319026i | ||||
\(921\) | 29.4322 | − | 2.05810i | 0.969825 | − | 0.0678168i | ||||
\(922\) | 12.9630 | + | 11.2686i | 0.426913 | + | 0.371110i | ||||
\(923\) | 2.15928 | − | 41.2016i | 0.0710736 | − | 1.35617i | ||||
\(924\) | −16.1972 | − | 28.0544i | −0.532850 | − | 0.922923i | ||||
\(925\) | 2.12455 | + | 3.65870i | 0.0698548 | + | 0.120297i | ||||
\(926\) | 11.5653 | + | 2.03927i | 0.380059 | + | 0.0670147i | ||||
\(927\) | −2.41556 | − | 3.20556i | −0.0793375 | − | 0.105284i | ||||
\(928\) | 2.48988 | + | 4.49186i | 0.0817343 | + | 0.147453i | ||||
\(929\) | −12.4010 | + | 3.09192i | −0.406863 | + | 0.101442i | −0.439977 | − | 0.898009i | \(-0.645013\pi\) |
0.0331133 | + | 0.999452i | \(0.489458\pi\) | |||||||
\(930\) | −13.9899 | − | 37.2757i | −0.458746 | − | 1.22232i | ||||
\(931\) | −5.75915 | − | 49.4447i | −0.188749 | − | 1.62048i | ||||
\(932\) | −14.1126 | + | 14.1126i | −0.462274 | + | 0.462274i | ||||
\(933\) | −20.6448 | + | 17.9463i | −0.675882 | + | 0.587535i | ||||
\(934\) | −25.1816 | − | 32.2310i | −0.823969 | − | 1.05463i | ||||
\(935\) | −1.70479 | + | 0.673993i | −0.0557525 | + | 0.0220419i | ||||
\(936\) | −3.02217 | − | 1.60691i | −0.0987826 | − | 0.0525236i | ||||
\(937\) | −23.0309 | − | 24.6976i | −0.752385 | − | 0.806834i | 0.233834 | − | 0.972276i | \(-0.424873\pi\) |
−0.986219 | + | 0.165442i | \(0.947095\pi\) | |||||||
\(938\) | −63.5630 | + | 3.33120i | −2.07541 | + | 0.108767i | ||||
\(939\) | 29.8472 | + | 33.1487i | 0.974027 | + | 1.08177i | ||||
\(940\) | 6.54547 | − | 8.24991i | 0.213490 | − | 0.269082i | ||||
\(941\) | 1.08828 | − | 1.74162i | 0.0354770 | − | 0.0567751i | −0.829834 | − | 0.558010i | \(-0.811565\pi\) |
0.865311 | + | 0.501235i | \(0.167121\pi\) | |||||||
\(942\) | 6.44022 | + | 5.21519i | 0.209834 | + | 0.169920i | ||||
\(943\) | −46.7326 | − | 12.5220i | −1.52182 | − | 0.407771i | ||||
\(944\) | −7.74946 | + | 2.22212i | −0.252223 | + | 0.0723239i | ||||
\(945\) | −7.65072 | − | 40.9939i | −0.248878 | − | 1.33353i | ||||
\(946\) | 4.40028 | + | 2.14616i | 0.143065 | + | 0.0697777i | ||||
\(947\) | 7.31964 | − | 4.05734i | 0.237856 | − | 0.131846i | −0.361379 | − | 0.932419i | \(-0.617694\pi\) |
0.599235 | + | 0.800573i | \(0.295472\pi\) | |||||||
\(948\) | −3.43999 | − | 0.794183i | −0.111726 | − | 0.0257939i | ||||
\(949\) | −40.8247 | −1.32523 | ||||||||
\(950\) | 21.5133 | + | 3.48950i | 0.697985 | + | 0.113214i | ||||
\(951\) | 32.3871 | 1.05022 | ||||||||
\(952\) | 0.880608 | + | 0.203304i | 0.0285407 | + | 0.00658913i | ||||
\(953\) | 25.9373 | − | 14.3773i | 0.840193 | − | 0.465726i | −0.00512718 | − | 0.999987i | \(-0.501632\pi\) |
0.845320 | + | 0.534260i | \(0.179410\pi\) | |||||||
\(954\) | −5.64417 | − | 2.75285i | −0.182737 | − | 0.0891267i | ||||
\(955\) | −9.38072 | − | 8.87974i | −0.303553 | − | 0.287342i | ||||
\(956\) | 22.9112 | − | 6.56968i | 0.741001 | − | 0.212479i | ||||
\(957\) | 37.4435 | + | 10.0329i | 1.21038 | + | 0.324319i | ||||
\(958\) | 11.0753 | + | 8.96858i | 0.357826 | + | 0.289762i | ||||
\(959\) | 20.8866 | − | 33.4255i | 0.674463 | − | 1.07937i | ||||
\(960\) | −4.06249 | − | 1.51312i | −0.131116 | − | 0.0488358i | ||||
\(961\) | −35.6972 | − | 39.6458i | −1.15152 | − | 1.27890i | ||||
\(962\) | 3.81232 | − | 0.199795i | 0.122914 | − | 0.00644165i | ||||
\(963\) | 8.44640 | + | 9.05766i | 0.272181 | + | 0.291879i | ||||
\(964\) | −0.128994 | − | 0.0685873i | −0.00415462 | − | 0.00220905i | ||||
\(965\) | 2.27689 | + | 36.4793i | 0.0732958 | + | 1.17431i | ||||
\(966\) | 24.7868 | + | 31.7256i | 0.797501 | + | 1.02075i | ||||
\(967\) | 2.70421 | − | 2.35074i | 0.0869616 | − | 0.0755946i | −0.611489 | − | 0.791253i | \(-0.709429\pi\) |
0.698450 | + | 0.715659i | \(0.253873\pi\) | |||||||
\(968\) | 2.93952 | − | 2.93952i | 0.0944797 | − | 0.0944797i | ||||
\(969\) | −1.70498 | + | 0.509693i | −0.0547719 | + | 0.0163737i | ||||
\(970\) | −0.108086 | + | 0.391645i | −0.00347045 | + | 0.0125750i | ||||
\(971\) | −21.8720 | + | 5.45330i | −0.701905 | + | 0.175005i | −0.576495 | − | 0.817100i | \(-0.695580\pi\) |
−0.125410 | + | 0.992105i | \(0.540025\pi\) | |||||||
\(972\) | −3.73751 | − | 6.74265i | −0.119881 | − | 0.216271i | ||||
\(973\) | −14.6575 | − | 19.4512i | −0.469898 | − | 0.623576i | ||||
\(974\) | 1.09014 | + | 0.192220i | 0.0349302 | + | 0.00615914i | ||||
\(975\) | −33.9187 | + | 27.6074i | −1.08627 | + | 0.884144i | ||||
\(976\) | −4.53577 | − | 7.85618i | −0.145186 | − | 0.251470i | ||||
\(977\) | −0.620772 | + | 11.8450i | −0.0198603 | + | 0.378956i | 0.970559 | + | 0.240863i | \(0.0774306\pi\) |
−0.990419 | + | 0.138093i | \(0.955903\pi\) | |||||||
\(978\) | 2.57362 | + | 2.23722i | 0.0822954 | + | 0.0715383i | ||||
\(979\) | 27.9338 | − | 1.95332i | 0.892769 | − | 0.0624285i | ||||
\(980\) | 22.6655 | + | 11.7630i | 0.724022 | + | 0.375754i | ||||
\(981\) | 5.12574 | − | 11.5126i | 0.163652 | − | 0.367569i | ||||
\(982\) | −5.21302 | − | 11.1793i | −0.166354 | − | 0.356747i | ||||
\(983\) | 6.86152 | + | 2.36261i | 0.218848 | + | 0.0753556i | 0.432805 | − | 0.901488i | \(-0.357524\pi\) |
−0.213956 | + | 0.976843i | \(0.568635\pi\) | |||||||
\(984\) | −17.1164 | + | 9.10097i | −0.545652 | + | 0.290128i | ||||
\(985\) | 15.8731 | + | 6.55163i | 0.505758 | + | 0.208752i | ||||
\(986\) | −0.917150 | + | 0.573099i | −0.0292080 | + | 0.0182512i | ||||
\(987\) | −17.7909 | + | 34.9167i | −0.566292 | + | 1.11141i | ||||
\(988\) | 11.6579 | − | 15.8376i | 0.370886 | − | 0.503862i | ||||
\(989\) | −5.78673 | − | 1.88022i | −0.184007 | − | 0.0597876i | ||||
\(990\) | −5.95765 | + | 2.85079i | −0.189347 | + | 0.0906041i | ||||
\(991\) | 49.1213 | − | 38.3778i | 1.56039 | − | 1.21911i | 0.693702 | − | 0.720262i | \(-0.255978\pi\) |
0.866689 | − | 0.498849i | \(-0.166244\pi\) | |||||||
\(992\) | −9.18275 | + | 0.160286i | −0.291553 | + | 0.00508907i | ||||
\(993\) | 21.4419 | − | 15.0138i | 0.680439 | − | 0.476449i | ||||
\(994\) | 10.8184 | + | 37.7282i | 0.343138 | + | 1.19667i | ||||
\(995\) | 12.3325 | + | 4.84013i | 0.390967 | + | 0.153442i | ||||
\(996\) | −4.15406 | − | 9.33018i | −0.131626 | − | 0.295638i | ||||
\(997\) | −17.8389 | + | 20.5213i | −0.564965 | + | 0.649917i | −0.963649 | − | 0.267171i | \(-0.913911\pi\) |
0.398685 | + | 0.917088i | \(0.369467\pi\) | |||||||
\(998\) | 27.7458 | + | 11.7774i | 0.878276 | + | 0.372806i | ||||
\(999\) | 3.18425 | + | 1.83843i | 0.100745 | + | 0.0581653i |
(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 | 950.2.bi.a.3.5 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.46 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.46 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.5 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.5 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.46 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.46 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.5 | yes | 2400 | 475.317 | even | 180 | inner |