Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 43.23 |
Dual form | 43.2.g.a.15.2 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.651405 | − | 0.816837i | −0.460613 | − | 0.577591i | 0.496232 | − | 0.868190i | \(-0.334717\pi\) |
−0.956845 | + | 0.290599i | \(0.906145\pi\) | |||||||
\(3\) | 0.922165 | + | 2.34964i | 0.532412 | + | 1.35656i | 0.903748 | + | 0.428066i | \(0.140805\pi\) |
−0.371335 | + | 0.928499i | \(0.621100\pi\) | |||||||
\(4\) | 0.202149 | − | 0.885672i | 0.101074 | − | 0.442836i | ||||
\(5\) | −0.0373507 | + | 0.498411i | −0.0167038 | + | 0.222896i | 0.982605 | + | 0.185710i | \(0.0594585\pi\) |
−0.999308 | + | 0.0371862i | \(0.988161\pi\) | |||||||
\(6\) | 1.31857 | − | 2.28383i | 0.538303 | − | 0.932368i | ||||
\(7\) | −1.65334 | − | 2.86367i | −0.624904 | − | 1.08237i | −0.988559 | − | 0.150832i | \(-0.951805\pi\) |
0.363655 | − | 0.931534i | \(-0.381529\pi\) | |||||||
\(8\) | −2.73775 | + | 1.31843i | −0.967940 | + | 0.466135i | ||||
\(9\) | −2.47126 | + | 2.29299i | −0.823753 | + | 0.764331i | ||||
\(10\) | 0.431451 | − | 0.294158i | 0.136437 | − | 0.0930210i | ||||
\(11\) | 0.828392 | + | 3.62942i | 0.249769 | + | 1.09431i | 0.931796 | + | 0.362984i | \(0.118242\pi\) |
−0.682026 | + | 0.731328i | \(0.738901\pi\) | |||||||
\(12\) | 2.26742 | − | 0.341759i | 0.654549 | − | 0.0986574i | ||||
\(13\) | −3.87254 | − | 2.64025i | −1.07405 | − | 0.732274i | −0.108921 | − | 0.994050i | \(-0.534739\pi\) |
−0.965129 | + | 0.261776i | \(0.915692\pi\) | |||||||
\(14\) | −1.26216 | + | 3.21592i | −0.337325 | + | 0.859491i | ||||
\(15\) | −1.20553 | + | 0.371857i | −0.311266 | + | 0.0960130i | ||||
\(16\) | 1.22336 | + | 0.589137i | 0.305839 | + | 0.147284i | ||||
\(17\) | −0.343032 | − | 4.57744i | −0.0831975 | − | 1.11019i | −0.870021 | − | 0.493015i | \(-0.835895\pi\) |
0.786823 | − | 0.617178i | \(-0.211724\pi\) | |||||||
\(18\) | 3.48279 | + | 0.524947i | 0.820902 | + | 0.123731i | ||||
\(19\) | 4.44115 | + | 4.12079i | 1.01887 | + | 0.945374i | 0.998518 | − | 0.0544191i | \(-0.0173307\pi\) |
0.0203524 | + | 0.999793i | \(0.493521\pi\) | |||||||
\(20\) | 0.433878 | + | 0.133834i | 0.0970182 | + | 0.0299261i | ||||
\(21\) | 5.20394 | − | 6.52553i | 1.13559 | − | 1.42399i | ||||
\(22\) | 2.42502 | − | 3.04088i | 0.517017 | − | 0.648319i | ||||
\(23\) | −0.371666 | − | 0.114644i | −0.0774978 | − | 0.0239049i | 0.255764 | − | 0.966739i | \(-0.417673\pi\) |
−0.333262 | + | 0.942834i | \(0.608149\pi\) | |||||||
\(24\) | −5.62249 | − | 5.21691i | −1.14769 | − | 1.06490i | ||||
\(25\) | 4.69714 | + | 0.707979i | 0.939427 | + | 0.141596i | ||||
\(26\) | 0.365938 | + | 4.88311i | 0.0717664 | + | 0.957656i | ||||
\(27\) | −0.844152 | − | 0.406522i | −0.162457 | − | 0.0782352i | ||||
\(28\) | −2.87049 | + | 0.885430i | −0.542472 | + | 0.167331i | ||||
\(29\) | −1.29147 | + | 3.29062i | −0.239820 | + | 0.611053i | −0.999217 | − | 0.0395760i | \(-0.987399\pi\) |
0.759396 | + | 0.650629i | \(0.225495\pi\) | |||||||
\(30\) | 1.08903 | + | 0.742491i | 0.198830 | + | 0.135560i | ||||
\(31\) | 0.861113 | − | 0.129792i | 0.154660 | − | 0.0233113i | −0.0712556 | − | 0.997458i | \(-0.522701\pi\) |
0.225916 | + | 0.974147i | \(0.427463\pi\) | |||||||
\(32\) | 1.03666 | + | 4.54192i | 0.183258 | + | 0.802905i | ||||
\(33\) | −7.76391 | + | 5.29335i | −1.35152 | + | 0.921454i | ||||
\(34\) | −3.51557 | + | 3.26197i | −0.602915 | + | 0.559424i | ||||
\(35\) | 1.48904 | − | 0.717083i | 0.251693 | − | 0.121209i | ||||
\(36\) | 1.53128 | + | 2.65225i | 0.255213 | + | 0.442042i | ||||
\(37\) | −1.96656 | + | 3.40619i | −0.323301 | + | 0.559974i | −0.981167 | − | 0.193161i | \(-0.938126\pi\) |
0.657866 | + | 0.753135i | \(0.271459\pi\) | |||||||
\(38\) | 0.473019 | − | 6.31200i | 0.0767338 | − | 1.02394i | ||||
\(39\) | 2.63252 | − | 11.5338i | 0.421540 | − | 1.84689i | ||||
\(40\) | −0.554863 | − | 1.41377i | −0.0877315 | − | 0.223536i | ||||
\(41\) | −6.72350 | − | 8.43100i | −1.05003 | − | 1.31670i | −0.946722 | − | 0.322053i | \(-0.895627\pi\) |
−0.103313 | − | 0.994649i | \(-0.532944\pi\) | |||||||
\(42\) | −8.72017 | −1.34555 | ||||||||
\(43\) | 6.26851 | + | 1.92504i | 0.955939 | + | 0.293566i | ||||
\(44\) | 3.38193 | 0.509846 | ||||||||
\(45\) | −1.05055 | − | 1.31735i | −0.156607 | − | 0.196379i | ||||
\(46\) | 0.148460 | + | 0.378270i | 0.0218893 | + | 0.0557729i | ||||
\(47\) | −0.776794 | + | 3.40336i | −0.113307 | + | 0.496430i | 0.886147 | + | 0.463403i | \(0.153372\pi\) |
−0.999454 | + | 0.0330270i | \(0.989485\pi\) | |||||||
\(48\) | −0.256123 | + | 3.41773i | −0.0369682 | + | 0.493307i | ||||
\(49\) | −1.96707 | + | 3.40706i | −0.281010 | + | 0.486724i | ||||
\(50\) | −2.48144 | − | 4.29797i | −0.350928 | − | 0.607825i | ||||
\(51\) | 10.4390 | − | 5.02716i | 1.46175 | − | 0.703943i | ||||
\(52\) | −3.12123 | + | 2.89608i | −0.432836 | + | 0.401614i | ||||
\(53\) | 3.94414 | − | 2.68907i | 0.541770 | − | 0.369372i | −0.261300 | − | 0.965258i | \(-0.584151\pi\) |
0.803069 | + | 0.595885i | \(0.203199\pi\) | |||||||
\(54\) | 0.217823 | + | 0.954345i | 0.0296420 | + | 0.129870i | ||||
\(55\) | −1.83988 | + | 0.277318i | −0.248090 | + | 0.0373935i | ||||
\(56\) | 8.30197 | + | 5.66019i | 1.10940 | + | 0.756375i | ||||
\(57\) | −5.58689 | + | 14.2352i | −0.740001 | + | 1.88549i | ||||
\(58\) | 3.52917 | − | 1.08861i | 0.463403 | − | 0.142941i | ||||
\(59\) | −6.05684 | − | 2.91682i | −0.788534 | − | 0.379738i | −0.00413260 | − | 0.999991i | \(-0.501315\pi\) |
−0.784401 | + | 0.620253i | \(0.787030\pi\) | |||||||
\(60\) | 0.0856466 | + | 1.14287i | 0.0110569 | + | 0.147544i | ||||
\(61\) | −5.18836 | − | 0.782019i | −0.664301 | − | 0.100127i | −0.191768 | − | 0.981440i | \(-0.561422\pi\) |
−0.472533 | + | 0.881313i | \(0.656660\pi\) | |||||||
\(62\) | −0.666952 | − | 0.618841i | −0.0847030 | − | 0.0785929i | ||||
\(63\) | 10.6522 | + | 3.28577i | 1.34205 | + | 0.413968i | ||||
\(64\) | 4.72789 | − | 5.92859i | 0.590987 | − | 0.741074i | ||||
\(65\) | 1.46057 | − | 1.83150i | 0.181162 | − | 0.227170i | ||||
\(66\) | 9.38126 | + | 2.89373i | 1.15475 | + | 0.356194i | ||||
\(67\) | −7.73611 | − | 7.17806i | −0.945116 | − | 0.876940i | 0.0474219 | − | 0.998875i | \(-0.484899\pi\) |
−0.992538 | + | 0.121935i | \(0.961090\pi\) | |||||||
\(68\) | −4.12346 | − | 0.621511i | −0.500043 | − | 0.0753693i | ||||
\(69\) | −0.0733661 | − | 0.979002i | −0.00883224 | − | 0.117858i | ||||
\(70\) | −1.55571 | − | 0.749189i | −0.185943 | − | 0.0895452i | ||||
\(71\) | 0.859578 | − | 0.265145i | 0.102013 | − | 0.0314669i | −0.243328 | − | 0.969944i | \(-0.578239\pi\) |
0.345342 | + | 0.938477i | \(0.387763\pi\) | |||||||
\(72\) | 3.74253 | − | 9.53582i | 0.441062 | − | 1.12381i | ||||
\(73\) | −0.798611 | − | 0.544484i | −0.0934704 | − | 0.0637270i | 0.515683 | − | 0.856779i | \(-0.327538\pi\) |
−0.609153 | + | 0.793052i | \(0.708491\pi\) | |||||||
\(74\) | 4.06333 | − | 0.612448i | 0.472352 | − | 0.0711956i | ||||
\(75\) | 2.66804 | + | 11.6894i | 0.308079 | + | 1.34978i | ||||
\(76\) | 4.54744 | − | 3.10039i | 0.521627 | − | 0.355640i | ||||
\(77\) | 9.02385 | − | 8.37291i | 1.02836 | − | 0.954181i | ||||
\(78\) | −11.1361 | + | 5.36286i | −1.26091 | + | 0.607224i | ||||
\(79\) | 0.500983 | + | 0.867728i | 0.0563650 | + | 0.0976270i | 0.892831 | − | 0.450392i | \(-0.148716\pi\) |
−0.836466 | + | 0.548019i | \(0.815382\pi\) | |||||||
\(80\) | −0.339326 | + | 0.587730i | −0.0379378 | + | 0.0657102i | ||||
\(81\) | −0.579056 | + | 7.72697i | −0.0643396 | + | 0.858552i | ||||
\(82\) | −2.50703 | + | 10.9840i | −0.276855 | + | 1.21298i | ||||
\(83\) | −1.24798 | − | 3.17979i | −0.136983 | − | 0.349027i | 0.845878 | − | 0.533377i | \(-0.179077\pi\) |
−0.982861 | + | 0.184350i | \(0.940982\pi\) | |||||||
\(84\) | −4.72751 | − | 5.92811i | −0.515814 | − | 0.646810i | ||||
\(85\) | 2.29426 | 0.248847 | ||||||||
\(86\) | −2.51090 | − | 6.37433i | −0.270757 | − | 0.687362i | ||||
\(87\) | −8.92272 | −0.956616 | ||||||||
\(88\) | −7.05306 | − | 8.84426i | −0.751859 | − | 0.942801i | ||||
\(89\) | −0.672465 | − | 1.71341i | −0.0712811 | − | 0.181621i | 0.890793 | − | 0.454409i | \(-0.150150\pi\) |
−0.962074 | + | 0.272788i | \(0.912054\pi\) | |||||||
\(90\) | −0.391724 | + | 1.71626i | −0.0412914 | + | 0.180909i | ||||
\(91\) | −1.15819 | + | 15.4549i | −0.121411 | + | 1.62012i | ||||
\(92\) | −0.176669 | + | 0.305999i | −0.0184190 | + | 0.0319026i | ||||
\(93\) | 1.09905 | + | 1.90361i | 0.113966 | + | 0.197396i | ||||
\(94\) | 3.28599 | − | 1.58245i | 0.338924 | − | 0.163217i | ||||
\(95\) | −2.21973 | + | 2.05961i | −0.227739 | + | 0.211311i | ||||
\(96\) | −9.71589 | + | 6.62418i | −0.991624 | + | 0.676078i | ||||
\(97\) | −0.213753 | − | 0.936511i | −0.0217033 | − | 0.0950883i | 0.962916 | − | 0.269800i | \(-0.0869577\pi\) |
−0.984620 | + | 0.174712i | \(0.944101\pi\) | |||||||
\(98\) | 4.06438 | − | 0.612606i | 0.410564 | − | 0.0618825i | ||||
\(99\) | −10.3694 | − | 7.06974i | −1.04216 | − | 0.710536i | ||||
\(100\) | 1.57656 | − | 4.01700i | 0.157656 | − | 0.401700i | ||||
\(101\) | 15.7085 | − | 4.84543i | 1.56305 | − | 0.482138i | 0.611921 | − | 0.790919i | \(-0.290397\pi\) |
0.951133 | + | 0.308781i | \(0.0999210\pi\) | |||||||
\(102\) | −10.9064 | − | 5.25224i | −1.07989 | − | 0.520050i | ||||
\(103\) | −0.0427552 | − | 0.570528i | −0.00421279 | − | 0.0562158i | 0.994701 | − | 0.102808i | \(-0.0327828\pi\) |
−0.998914 | + | 0.0465925i | \(0.985164\pi\) | |||||||
\(104\) | 14.0830 | + | 2.12267i | 1.38095 | + | 0.208145i | ||||
\(105\) | 3.05803 | + | 2.83743i | 0.298433 | + | 0.276905i | ||||
\(106\) | −4.76577 | − | 1.47004i | −0.462892 | − | 0.142783i | ||||
\(107\) | −10.0832 | + | 12.6440i | −0.974785 | + | 1.22234i | 0.000184398 | 1.00000i | \(0.499941\pi\) | |
−0.974969 | + | 0.222341i | \(0.928630\pi\) | |||||||
\(108\) | −0.530690 | + | 0.665464i | −0.0510656 | + | 0.0640343i | ||||
\(109\) | −6.23712 | − | 1.92390i | −0.597407 | − | 0.184276i | −0.0187194 | − | 0.999825i | \(-0.505959\pi\) |
−0.578688 | + | 0.815549i | \(0.696435\pi\) | |||||||
\(110\) | 1.42503 | + | 1.32224i | 0.135872 | + | 0.126070i | ||||
\(111\) | −9.81680 | − | 1.47965i | −0.931770 | − | 0.140442i | ||||
\(112\) | −0.335530 | − | 4.47733i | −0.0317046 | − | 0.423068i | ||||
\(113\) | 1.53214 | + | 0.737838i | 0.144131 | + | 0.0694100i | 0.504559 | − | 0.863377i | \(-0.331655\pi\) |
−0.360428 | + | 0.932787i | \(0.617369\pi\) | |||||||
\(114\) | 15.2671 | − | 4.70929i | 1.42990 | − | 0.441065i | ||||
\(115\) | 0.0710218 | − | 0.180961i | 0.00662281 | − | 0.0168747i | ||||
\(116\) | 2.65334 | + | 1.80902i | 0.246356 | + | 0.167963i | ||||
\(117\) | 15.6241 | − | 2.35496i | 1.44445 | − | 0.217716i | ||||
\(118\) | 1.56289 | + | 6.84749i | 0.143876 | + | 0.630362i | ||||
\(119\) | −12.5411 | + | 8.55040i | −1.14964 | + | 0.783814i | ||||
\(120\) | 2.81017 | − | 2.60746i | 0.256532 | − | 0.238027i | ||||
\(121\) | −2.57580 | + | 1.24044i | −0.234164 | + | 0.112767i | ||||
\(122\) | 2.74094 | + | 4.74745i | 0.248153 | + | 0.429814i | ||||
\(123\) | 13.6096 | − | 23.5726i | 1.22714 | − | 2.12547i | ||||
\(124\) | 0.0591199 | − | 0.788901i | 0.00530913 | − | 0.0708454i | ||||
\(125\) | −1.08440 | + | 4.75105i | −0.0969913 | + | 0.424947i | ||||
\(126\) | −4.25497 | − | 10.8415i | −0.379063 | − | 0.965836i | ||||
\(127\) | 9.78615 | + | 12.2714i | 0.868380 | + | 1.08891i | 0.995284 | + | 0.0969996i | \(0.0309246\pi\) |
−0.126904 | + | 0.991915i | \(0.540504\pi\) | |||||||
\(128\) | 1.39498 | 0.123300 | ||||||||
\(129\) | 1.25745 | + | 16.5039i | 0.110712 | + | 1.45309i | ||||
\(130\) | −2.44746 | −0.214657 | ||||||||
\(131\) | −6.68767 | − | 8.38607i | −0.584304 | − | 0.732694i | 0.398536 | − | 0.917153i | \(-0.369518\pi\) |
−0.982840 | + | 0.184458i | \(0.940947\pi\) | |||||||
\(132\) | 3.11870 | + | 7.94633i | 0.271448 | + | 0.691639i | ||||
\(133\) | 4.45784 | − | 19.5311i | 0.386544 | − | 1.69356i | ||||
\(134\) | −0.823959 | + | 10.9950i | −0.0711792 | + | 0.949820i | ||||
\(135\) | 0.234145 | − | 0.405551i | 0.0201520 | − | 0.0349042i | ||||
\(136\) | 6.97417 | + | 12.0796i | 0.598030 | + | 1.03582i | ||||
\(137\) | 7.28496 | − | 3.50825i | 0.622396 | − | 0.299730i | −0.0959821 | − | 0.995383i | \(-0.530599\pi\) |
0.718378 | + | 0.695653i | \(0.244885\pi\) | |||||||
\(138\) | −0.751894 | + | 0.697655i | −0.0640054 | + | 0.0593884i | ||||
\(139\) | 10.6300 | − | 7.24742i | 0.901625 | − | 0.614718i | −0.0212677 | − | 0.999774i | \(-0.506770\pi\) |
0.922893 | + | 0.385056i | \(0.125818\pi\) | |||||||
\(140\) | −0.334093 | − | 1.46376i | −0.0282360 | − | 0.123710i | ||||
\(141\) | −8.71299 | + | 1.31327i | −0.733766 | + | 0.110597i | ||||
\(142\) | −0.776513 | − | 0.529418i | −0.0651636 | − | 0.0444278i | ||||
\(143\) | 6.37461 | − | 16.2422i | 0.533072 | − | 1.35824i | ||||
\(144\) | −4.37412 | + | 1.34924i | −0.364510 | + | 0.112436i | ||||
\(145\) | −1.59184 | − | 0.766591i | −0.132195 | − | 0.0636620i | ||||
\(146\) | 0.0754653 | + | 1.00701i | 0.00624556 | + | 0.0833411i | ||||
\(147\) | −9.81934 | − | 1.48003i | −0.809885 | − | 0.122071i | ||||
\(148\) | 2.61923 | + | 2.43029i | 0.215299 | + | 0.199768i | ||||
\(149\) | −7.10954 | − | 2.19300i | −0.582436 | − | 0.179658i | −0.0104843 | − | 0.999945i | \(-0.503337\pi\) |
−0.571952 | + | 0.820287i | \(0.693813\pi\) | |||||||
\(150\) | 7.81039 | − | 9.79392i | 0.637716 | − | 0.799671i | ||||
\(151\) | −2.97754 | + | 3.73371i | −0.242309 | + | 0.303845i | −0.888083 | − | 0.459683i | \(-0.847963\pi\) |
0.645775 | + | 0.763528i | \(0.276535\pi\) | |||||||
\(152\) | −17.5917 | − | 5.42633i | −1.42688 | − | 0.440133i | ||||
\(153\) | 11.3438 | + | 10.5255i | 0.917089 | + | 0.850935i | ||||
\(154\) | −12.7175 | − | 1.91685i | −1.02480 | − | 0.154464i | ||||
\(155\) | 0.0325265 | + | 0.434036i | 0.00261259 | + | 0.0348626i | ||||
\(156\) | −9.68302 | − | 4.66310i | −0.775262 | − | 0.373347i | ||||
\(157\) | 12.8438 | − | 3.96180i | 1.02505 | − | 0.316186i | 0.263754 | − | 0.964590i | \(-0.415039\pi\) |
0.761297 | + | 0.648404i | \(0.224563\pi\) | |||||||
\(158\) | 0.382449 | − | 0.974464i | 0.0304260 | − | 0.0775242i | ||||
\(159\) | 9.95550 | + | 6.78754i | 0.789522 | + | 0.538287i | ||||
\(160\) | −2.30246 | + | 0.347040i | −0.182026 | + | 0.0274359i | ||||
\(161\) | 0.286189 | + | 1.25387i | 0.0225548 | + | 0.0988192i | ||||
\(162\) | 6.68887 | − | 4.56040i | 0.525527 | − | 0.358298i | ||||
\(163\) | −13.7295 | + | 12.7392i | −1.07538 | + | 0.997808i | −0.0753814 | + | 0.997155i | \(0.524017\pi\) |
−1.00000 | 0.000653135i | \(0.999792\pi\) | ||||||||
\(164\) | −8.82625 | + | 4.25050i | −0.689215 | + | 0.331908i | ||||
\(165\) | −2.34827 | − | 4.06733i | −0.182813 | − | 0.316641i | ||||
\(166\) | −1.78443 | + | 3.09072i | −0.138499 | + | 0.239887i | ||||
\(167\) | −1.03540 | + | 13.8165i | −0.0801219 | + | 1.06915i | 0.801749 | + | 0.597661i | \(0.203903\pi\) |
−0.881871 | + | 0.471491i | \(0.843716\pi\) | |||||||
\(168\) | −5.64361 | + | 24.7263i | −0.435414 | + | 1.90767i | ||||
\(169\) | 3.27620 | + | 8.34761i | 0.252015 | + | 0.642124i | ||||
\(170\) | −1.49449 | − | 1.87404i | −0.114622 | − | 0.143732i | ||||
\(171\) | −20.4242 | −1.56188 | ||||||||
\(172\) | 2.97213 | − | 5.16270i | 0.226623 | − | 0.393652i | ||||
\(173\) | −13.8705 | −1.05456 | −0.527278 | − | 0.849693i | \(-0.676787\pi\) | ||||
−0.527278 | + | 0.849693i | \(0.676787\pi\) | |||||||
\(174\) | 5.81231 | + | 7.28840i | 0.440630 | + | 0.552533i | ||||
\(175\) | −5.73855 | − | 14.6216i | −0.433793 | − | 1.10529i | ||||
\(176\) | −1.12481 | + | 4.92811i | −0.0847857 | + | 0.371470i | ||||
\(177\) | 1.26807 | − | 16.9212i | 0.0953138 | − | 1.27187i | ||||
\(178\) | −0.961530 | + | 1.66542i | −0.0720698 | + | 0.124828i | ||||
\(179\) | −3.09219 | − | 5.35583i | −0.231121 | − | 0.400313i | 0.727017 | − | 0.686619i | \(-0.240906\pi\) |
−0.958138 | + | 0.286306i | \(0.907573\pi\) | |||||||
\(180\) | −1.37911 | + | 0.664142i | −0.102792 | + | 0.0495023i | ||||
\(181\) | −2.71431 | + | 2.51851i | −0.201753 | + | 0.187200i | −0.774578 | − | 0.632478i | \(-0.782038\pi\) |
0.572825 | + | 0.819678i | \(0.305847\pi\) | |||||||
\(182\) | 13.3786 | − | 9.12137i | 0.991687 | − | 0.676121i | ||||
\(183\) | −2.94706 | − | 12.9119i | −0.217853 | − | 0.954477i | ||||
\(184\) | 1.16868 | − | 0.176150i | 0.0861561 | − | 0.0129859i | ||||
\(185\) | −1.62423 | − | 1.10738i | −0.119416 | − | 0.0814162i | ||||
\(186\) | 0.839013 | − | 2.13777i | 0.0615194 | − | 0.156749i | ||||
\(187\) | 16.3293 | − | 5.03692i | 1.19412 | − | 0.368336i | ||||
\(188\) | 2.85723 | + | 1.37597i | 0.208385 | + | 0.100353i | ||||
\(189\) | 0.231525 | + | 3.08949i | 0.0168410 | + | 0.224727i | ||||
\(190\) | 3.12830 | + | 0.471516i | 0.226951 | + | 0.0342074i | ||||
\(191\) | −8.36809 | − | 7.76446i | −0.605494 | − | 0.561816i | 0.316709 | − | 0.948523i | \(-0.397422\pi\) |
−0.922203 | + | 0.386706i | \(0.873613\pi\) | |||||||
\(192\) | 18.2900 | + | 5.64170i | 1.31996 | + | 0.407155i | ||||
\(193\) | −5.26831 | + | 6.60625i | −0.379221 | + | 0.475528i | −0.934412 | − | 0.356195i | \(-0.884074\pi\) |
0.555191 | + | 0.831723i | \(0.312645\pi\) | |||||||
\(194\) | −0.625737 | + | 0.784650i | −0.0449253 | + | 0.0563346i | ||||
\(195\) | 5.65026 | + | 1.74287i | 0.404623 | + | 0.124810i | ||||
\(196\) | 2.61990 | + | 2.43091i | 0.187136 | + | 0.173637i | ||||
\(197\) | 21.4229 | + | 3.22898i | 1.52632 | + | 0.230056i | 0.857934 | − | 0.513760i | \(-0.171748\pi\) |
0.668385 | + | 0.743816i | \(0.266986\pi\) | |||||||
\(198\) | 0.979865 | + | 13.0754i | 0.0696359 | + | 0.929227i | ||||
\(199\) | 8.90021 | + | 4.28611i | 0.630919 | + | 0.303835i | 0.721878 | − | 0.692020i | \(-0.243279\pi\) |
−0.0909593 | + | 0.995855i | \(0.528993\pi\) | |||||||
\(200\) | −13.7930 | + | 4.25457i | −0.975312 | + | 0.300844i | ||||
\(201\) | 9.73188 | − | 24.7964i | 0.686434 | − | 1.74900i | ||||
\(202\) | −14.1905 | − | 9.67494i | −0.998442 | − | 0.680726i | ||||
\(203\) | 11.5585 | − | 1.74216i | 0.811247 | − | 0.122276i | ||||
\(204\) | −2.34218 | − | 10.2618i | −0.163986 | − | 0.718468i | ||||
\(205\) | 4.45323 | − | 3.03616i | 0.311027 | − | 0.212055i | ||||
\(206\) | −0.438177 | + | 0.406569i | −0.0305293 | + | 0.0283270i | ||||
\(207\) | 1.18136 | − | 0.568914i | 0.0821103 | − | 0.0395422i | ||||
\(208\) | −3.18202 | − | 5.51143i | −0.220634 | − | 0.382149i | ||||
\(209\) | −11.2771 | + | 19.5324i | −0.780051 | + | 1.35109i | ||||
\(210\) | 0.325705 | − | 4.34623i | 0.0224758 | − | 0.299918i | ||||
\(211\) | 3.40455 | − | 14.9163i | 0.234379 | − | 1.02688i | −0.711583 | − | 0.702602i | \(-0.752022\pi\) |
0.945962 | − | 0.324278i | \(-0.105121\pi\) | |||||||
\(212\) | −1.58433 | − | 4.03681i | −0.108812 | − | 0.277249i | ||||
\(213\) | 1.41567 | + | 1.77519i | 0.0969999 | + | 0.121634i | ||||
\(214\) | 16.8964 | 1.15501 | ||||||||
\(215\) | −1.19360 | + | 3.05239i | −0.0814025 | + | 0.208171i | ||||
\(216\) | 2.84704 | 0.193717 | ||||||||
\(217\) | −1.79539 | − | 2.25135i | −0.121879 | − | 0.152832i | ||||
\(218\) | 2.49138 | + | 6.34794i | 0.168738 | + | 0.429937i | ||||
\(219\) | 0.542889 | − | 2.37855i | 0.0366850 | − | 0.160728i | ||||
\(220\) | −0.126318 | + | 1.68559i | −0.00851634 | + | 0.113643i | ||||
\(221\) | −10.7572 | + | 18.6320i | −0.723608 | + | 1.25333i | ||||
\(222\) | 5.18609 | + | 8.98257i | 0.348068 | + | 0.602871i | ||||
\(223\) | −10.5564 | + | 5.08368i | −0.706907 | + | 0.340428i | −0.752555 | − | 0.658529i | \(-0.771179\pi\) |
0.0456482 | + | 0.998958i | \(0.485465\pi\) | |||||||
\(224\) | 11.2926 | − | 10.4780i | 0.754518 | − | 0.700091i | ||||
\(225\) | −13.2312 | + | 9.02090i | −0.882082 | + | 0.601394i | ||||
\(226\) | −0.395349 | − | 1.73214i | −0.0262982 | − | 0.115220i | ||||
\(227\) | −8.93878 | + | 1.34730i | −0.593288 | + | 0.0894238i | −0.438821 | − | 0.898574i | \(-0.644604\pi\) |
−0.154466 | + | 0.987998i | \(0.549366\pi\) | |||||||
\(228\) | 11.4783 | + | 7.82577i | 0.760169 | + | 0.518274i | ||||
\(229\) | −5.69852 | + | 14.5196i | −0.376569 | + | 0.959482i | 0.609446 | + | 0.792827i | \(0.291392\pi\) |
−0.986015 | + | 0.166655i | \(0.946704\pi\) | |||||||
\(230\) | −0.194079 | + | 0.0598655i | −0.0127972 | + | 0.00394741i | ||||
\(231\) | 27.9948 | + | 13.4816i | 1.84192 | + | 0.887023i | ||||
\(232\) | −0.802723 | − | 10.7116i | −0.0527014 | − | 0.703251i | ||||
\(233\) | 4.64471 | + | 0.700078i | 0.304285 | + | 0.0458636i | 0.299410 | − | 0.954124i | \(-0.403210\pi\) |
0.00487511 | + | 0.999988i | \(0.498448\pi\) | |||||||
\(234\) | −12.1013 | − | 11.2283i | −0.791084 | − | 0.734019i | ||||
\(235\) | −1.66726 | − | 0.514280i | −0.108760 | − | 0.0335480i | ||||
\(236\) | −3.80773 | + | 4.77475i | −0.247862 | + | 0.310809i | ||||
\(237\) | −1.57686 | + | 1.97732i | −0.102428 | + | 0.128441i | ||||
\(238\) | 15.1536 | + | 4.67428i | 0.982265 | + | 0.302989i | ||||
\(239\) | 3.01626 | + | 2.79868i | 0.195106 | + | 0.181032i | 0.771676 | − | 0.636016i | \(-0.219419\pi\) |
−0.576570 | + | 0.817048i | \(0.695609\pi\) | |||||||
\(240\) | −1.69387 | − | 0.255309i | −0.109339 | − | 0.0164802i | ||||
\(241\) | 0.243946 | + | 3.25523i | 0.0157139 | + | 0.209688i | 0.999534 | + | 0.0305279i | \(0.00971886\pi\) |
−0.983820 | + | 0.179160i | \(0.942662\pi\) | |||||||
\(242\) | 2.69113 | + | 1.29598i | 0.172992 | + | 0.0833087i | ||||
\(243\) | −21.3755 | + | 6.59347i | −1.37124 | + | 0.422971i | ||||
\(244\) | −1.74143 | + | 4.43710i | −0.111484 | + | 0.284056i | ||||
\(245\) | −1.62465 | − | 1.10767i | −0.103795 | − | 0.0707662i | ||||
\(246\) | −28.1203 | + | 4.23846i | −1.79289 | + | 0.270234i | ||||
\(247\) | −6.31862 | − | 27.6837i | −0.402044 | − | 1.76147i | ||||
\(248\) | −2.18639 | + | 1.49065i | −0.138836 | + | 0.0946566i | ||||
\(249\) | 6.32052 | − | 5.86458i | 0.400547 | − | 0.371653i | ||||
\(250\) | 4.58721 | − | 2.20908i | 0.290121 | − | 0.139715i | ||||
\(251\) | −2.73625 | − | 4.73933i | −0.172711 | − | 0.299144i | 0.766656 | − | 0.642058i | \(-0.221919\pi\) |
−0.939367 | + | 0.342914i | \(0.888586\pi\) | |||||||
\(252\) | 5.06345 | − | 8.77015i | 0.318967 | − | 0.552468i | ||||
\(253\) | 0.108206 | − | 1.44390i | 0.00680283 | − | 0.0907774i | ||||
\(254\) | 3.64901 | − | 15.9874i | 0.228959 | − | 1.00314i | ||||
\(255\) | 2.11569 | + | 5.39068i | 0.132490 | + | 0.337578i | ||||
\(256\) | −10.3645 | − | 12.9967i | −0.647780 | − | 0.812291i | ||||
\(257\) | −8.41973 | −0.525208 | −0.262604 | − | 0.964904i | \(-0.584581\pi\) | ||||
−0.262604 | + | 0.964904i | \(0.584581\pi\) | |||||||
\(258\) | 12.6619 | − | 11.7779i | 0.788296 | − | 0.733259i | ||||
\(259\) | 13.0056 | 0.808128 | ||||||||
\(260\) | −1.32686 | − | 1.66383i | −0.0822881 | − | 0.103186i | ||||
\(261\) | −4.35380 | − | 11.0933i | −0.269494 | − | 0.686659i | ||||
\(262\) | −2.49367 | + | 10.9255i | −0.154059 | + | 0.674977i | ||||
\(263\) | 0.457346 | − | 6.10286i | 0.0282012 | − | 0.376319i | −0.965191 | − | 0.261547i | \(-0.915767\pi\) |
0.993392 | − | 0.114772i | \(-0.0366136\pi\) | |||||||
\(264\) | 14.2767 | − | 24.7280i | 0.878672 | − | 1.52190i | ||||
\(265\) | 1.19295 | + | 2.06624i | 0.0732821 | + | 0.126928i | ||||
\(266\) | −18.8576 | + | 9.08132i | −1.15623 | + | 0.556811i | ||||
\(267\) | 3.40578 | − | 3.16010i | 0.208430 | − | 0.193395i | ||||
\(268\) | −7.92125 | + | 5.40062i | −0.483868 | + | 0.329895i | ||||
\(269\) | −0.510581 | − | 2.23700i | −0.0311307 | − | 0.136392i | 0.956974 | − | 0.290172i | \(-0.0937126\pi\) |
−0.988105 | + | 0.153780i | \(0.950855\pi\) | |||||||
\(270\) | −0.483792 | + | 0.0729199i | −0.0294426 | + | 0.00443776i | ||||
\(271\) | 22.6364 | + | 15.4333i | 1.37506 | + | 0.937503i | 0.999945 | + | 0.0105270i | \(0.00335092\pi\) |
0.375120 | + | 0.926976i | \(0.377601\pi\) | |||||||
\(272\) | 2.27709 | − | 5.80194i | 0.138069 | − | 0.351794i | ||||
\(273\) | −37.3815 | + | 11.5307i | −2.26243 | + | 0.697868i | ||||
\(274\) | −7.61113 | − | 3.66533i | −0.459805 | − | 0.221430i | ||||
\(275\) | 1.32151 | + | 17.6344i | 0.0796902 | + | 1.06339i | ||||
\(276\) | −0.881906 | − | 0.132926i | −0.0530845 | − | 0.00800120i | ||||
\(277\) | 19.4981 | + | 18.0916i | 1.17153 | + | 1.08702i | 0.994704 | + | 0.102778i | \(0.0327731\pi\) |
0.176825 | + | 0.984242i | \(0.443417\pi\) | |||||||
\(278\) | −12.8444 | − | 3.96197i | −0.770356 | − | 0.237623i | ||||
\(279\) | −1.83042 | + | 2.29528i | −0.109584 | + | 0.137415i | ||||
\(280\) | −3.13119 | + | 3.92638i | −0.187124 | + | 0.234646i | ||||
\(281\) | 15.9359 | + | 4.91556i | 0.950653 | + | 0.293238i | 0.731029 | − | 0.682347i | \(-0.239041\pi\) |
0.219625 | + | 0.975584i | \(0.429517\pi\) | |||||||
\(282\) | 6.74842 | + | 6.26162i | 0.401862 | + | 0.372874i | ||||
\(283\) | −16.9165 | − | 2.54976i | −1.00558 | − | 0.151567i | −0.374455 | − | 0.927245i | \(-0.622170\pi\) |
−0.631129 | + | 0.775678i | \(0.717408\pi\) | |||||||
\(284\) | −0.0610685 | − | 0.814903i | −0.00362375 | − | 0.0483556i | ||||
\(285\) | −6.88629 | − | 3.31626i | −0.407908 | − | 0.196438i | ||||
\(286\) | −17.4197 | + | 5.37327i | −1.03005 | + | 0.317728i | ||||
\(287\) | −13.0274 | + | 33.1932i | −0.768982 | + | 1.95933i | ||||
\(288\) | −12.9765 | − | 8.84720i | −0.764645 | − | 0.521326i | ||||
\(289\) | −4.02518 | + | 0.606699i | −0.236776 | + | 0.0356882i | ||||
\(290\) | 0.410756 | + | 1.79964i | 0.0241204 | + | 0.105678i | ||||
\(291\) | 2.00335 | − | 1.36586i | 0.117438 | − | 0.0800681i | ||||
\(292\) | −0.643673 | + | 0.597241i | −0.0376681 | + | 0.0349509i | ||||
\(293\) | 26.9499 | − | 12.9784i | 1.57443 | − | 0.758206i | 0.576181 | − | 0.817322i | \(-0.304542\pi\) |
0.998251 | + | 0.0591160i | \(0.0188282\pi\) | |||||||
\(294\) | 5.18743 | + | 8.98489i | 0.302537 | + | 0.524009i | ||||
\(295\) | 1.68000 | − | 2.90985i | 0.0978136 | − | 0.169418i | ||||
\(296\) | 0.893134 | − | 11.9180i | 0.0519124 | − | 0.692723i | ||||
\(297\) | 0.776151 | − | 3.40054i | 0.0450369 | − | 0.197319i | ||||
\(298\) | 2.83987 | + | 7.23586i | 0.164509 | + | 0.419162i | ||||
\(299\) | 1.13660 | + | 1.42526i | 0.0657315 | + | 0.0824247i | ||||
\(300\) | 10.8924 | 0.628871 | ||||||||
\(301\) | −4.85130 | − | 21.1337i | −0.279624 | − | 1.21813i | ||||
\(302\) | 4.98942 | 0.287109 | ||||||||
\(303\) | 25.8708 | + | 32.4410i | 1.48624 | + | 1.86369i | ||||
\(304\) | 3.00540 | + | 7.65764i | 0.172372 | + | 0.439196i | ||||
\(305\) | 0.583556 | − | 2.55673i | 0.0334143 | − | 0.146398i | ||||
\(306\) | 1.20820 | − | 16.1224i | 0.0690684 | − | 0.921654i | ||||
\(307\) | 6.72148 | − | 11.6419i | 0.383615 | − | 0.664441i | −0.607961 | − | 0.793967i | \(-0.708012\pi\) |
0.991576 | + | 0.129526i | \(0.0413456\pi\) | |||||||
\(308\) | −5.59149 | − | 9.68474i | −0.318605 | − | 0.551840i | ||||
\(309\) | 1.30111 | − | 0.626581i | 0.0740175 | − | 0.0356449i | ||||
\(310\) | 0.333348 | − | 0.309302i | 0.0189329 | − | 0.0175672i | ||||
\(311\) | 12.5506 | − | 8.55684i | 0.711678 | − | 0.485214i | −0.152562 | − | 0.988294i | \(-0.548752\pi\) |
0.864240 | + | 0.503080i | \(0.167800\pi\) | |||||||
\(312\) | 7.99936 | + | 35.0475i | 0.452874 | + | 1.98417i | ||||
\(313\) | −11.2647 | + | 1.69789i | −0.636721 | + | 0.0959702i | −0.459467 | − | 0.888195i | \(-0.651960\pi\) |
−0.177254 | + | 0.984165i | \(0.556721\pi\) | |||||||
\(314\) | −11.6027 | − | 7.91058i | −0.654778 | − | 0.446420i | ||||
\(315\) | −2.03553 | + | 5.18645i | −0.114689 | + | 0.292224i | ||||
\(316\) | 0.869795 | − | 0.268296i | 0.0489298 | − | 0.0150928i | ||||
\(317\) | 20.5592 | + | 9.90081i | 1.15472 | + | 0.556085i | 0.910449 | − | 0.413622i | \(-0.135736\pi\) |
0.244273 | + | 0.969707i | \(0.421451\pi\) | |||||||
\(318\) | −0.940751 | − | 12.5535i | −0.0527547 | − | 0.703963i | ||||
\(319\) | −13.0129 | − | 1.96138i | −0.728582 | − | 0.109816i | ||||
\(320\) | 2.77829 | + | 2.57787i | 0.155311 | + | 0.144107i | ||||
\(321\) | −39.0073 | − | 12.0321i | −2.17717 | − | 0.671569i | ||||
\(322\) | 0.837786 | − | 1.05055i | 0.0466880 | − | 0.0585449i | ||||
\(323\) | 17.3392 | − | 21.7427i | 0.964780 | − | 1.20980i | ||||
\(324\) | 6.72650 | + | 2.07485i | 0.373695 | + | 0.115270i | ||||
\(325\) | −16.3206 | − | 15.1433i | −0.905304 | − | 0.839999i | ||||
\(326\) | 19.3493 | + | 2.91644i | 1.07166 | + | 0.161527i | ||||
\(327\) | −1.23119 | − | 16.4291i | −0.0680851 | − | 0.908533i | ||||
\(328\) | 29.5229 | + | 14.2175i | 1.63013 | + | 0.785030i | ||||
\(329\) | 11.0304 | − | 3.40242i | 0.608125 | − | 0.187582i | ||||
\(330\) | −1.79267 | + | 4.56764i | −0.0986830 | + | 0.251440i | ||||
\(331\) | 12.8486 | + | 8.76005i | 0.706225 | + | 0.481496i | 0.862396 | − | 0.506234i | \(-0.168963\pi\) |
−0.156171 | + | 0.987730i | \(0.549915\pi\) | |||||||
\(332\) | −3.06853 | + | 0.462506i | −0.168407 | + | 0.0253833i | ||||
\(333\) | −2.95048 | − | 12.9269i | −0.161685 | − | 0.708389i | ||||
\(334\) | 11.9603 | − | 8.15438i | 0.654438 | − | 0.446188i | ||||
\(335\) | 3.86657 | − | 3.58766i | 0.211254 | − | 0.196015i | ||||
\(336\) | 10.2107 | − | 4.91722i | 0.557040 | − | 0.268256i | ||||
\(337\) | −7.45198 | − | 12.9072i | −0.405935 | − | 0.703101i | 0.588494 | − | 0.808501i | \(-0.299721\pi\) |
−0.994430 | + | 0.105401i | \(0.966388\pi\) | |||||||
\(338\) | 4.68450 | − | 8.11380i | 0.254803 | − | 0.441332i | ||||
\(339\) | −0.320770 | + | 4.28038i | −0.0174218 | + | 0.232478i | ||||
\(340\) | 0.463782 | − | 2.03196i | 0.0251521 | − | 0.110199i | ||||
\(341\) | 1.18441 | + | 3.01782i | 0.0641393 | + | 0.163424i | ||||
\(342\) | 13.3044 | + | 16.6832i | 0.719421 | + | 0.902126i | ||||
\(343\) | −10.1378 | −0.547391 | ||||||||
\(344\) | −19.6996 | + | 2.99431i | −1.06213 | + | 0.161443i | ||||
\(345\) | 0.490686 | 0.0264176 | ||||||||
\(346\) | 9.03533 | + | 11.3299i | 0.485743 | + | 0.609102i | ||||
\(347\) | 9.92490 | + | 25.2882i | 0.532797 | + | 1.35754i | 0.903419 | + | 0.428760i | \(0.141049\pi\) |
−0.370622 | + | 0.928784i | \(0.620855\pi\) | |||||||
\(348\) | −1.80372 | + | 7.90260i | −0.0966894 | + | 0.423624i | ||||
\(349\) | 2.11902 | − | 28.2763i | 0.113428 | − | 1.51360i | −0.592649 | − | 0.805461i | \(-0.701918\pi\) |
0.706077 | − | 0.708135i | \(-0.250463\pi\) | |||||||
\(350\) | −8.20532 | + | 14.2120i | −0.438593 | + | 0.759665i | ||||
\(351\) | 2.19569 | + | 3.80305i | 0.117197 | + | 0.202992i | ||||
\(352\) | −15.6258 | + | 7.52497i | −0.832856 | + | 0.401082i | ||||
\(353\) | 14.4582 | − | 13.4153i | 0.769532 | − | 0.714022i | −0.194179 | − | 0.980966i | \(-0.562204\pi\) |
0.963712 | + | 0.266944i | \(0.0860139\pi\) | |||||||
\(354\) | −14.6479 | + | 9.98675i | −0.778526 | + | 0.530790i | ||||
\(355\) | 0.100045 | + | 0.438326i | 0.00530984 | + | 0.0232639i | ||||
\(356\) | −1.65346 | + | 0.249219i | −0.0876332 | + | 0.0132086i | ||||
\(357\) | −31.6554 | − | 21.5823i | −1.67538 | − | 1.14225i | ||||
\(358\) | −2.36057 | + | 6.01463i | −0.124760 | + | 0.317883i | ||||
\(359\) | −26.9263 | + | 8.30565i | −1.42111 | + | 0.438355i | −0.907640 | − | 0.419750i | \(-0.862118\pi\) |
−0.513474 | + | 0.858105i | \(0.671642\pi\) | |||||||
\(360\) | 4.61297 | + | 2.22149i | 0.243125 | + | 0.117083i | ||||
\(361\) | 1.32308 | + | 17.6552i | 0.0696357 | + | 0.929223i | ||||
\(362\) | 3.82533 | + | 0.576576i | 0.201055 | + | 0.0303042i | ||||
\(363\) | −5.28991 | − | 4.90832i | −0.277648 | − | 0.257620i | ||||
\(364\) | 13.4539 | + | 4.14997i | 0.705174 | + | 0.217517i | ||||
\(365\) | 0.301206 | − | 0.377700i | 0.0157658 | − | 0.0197697i | ||||
\(366\) | −8.62720 | + | 10.8182i | −0.450951 | + | 0.565474i | ||||
\(367\) | −28.2270 | − | 8.70689i | −1.47344 | − | 0.454496i | −0.548999 | − | 0.835823i | \(-0.684991\pi\) |
−0.924440 | + | 0.381327i | \(0.875467\pi\) | |||||||
\(368\) | −0.387139 | − | 0.359213i | −0.0201810 | − | 0.0187253i | ||||
\(369\) | 35.9478 | + | 5.41825i | 1.87137 | + | 0.282063i | ||||
\(370\) | 0.153483 | + | 2.04808i | 0.00797918 | + | 0.106475i | ||||
\(371\) | −14.2216 | − | 6.84877i | −0.738350 | − | 0.355570i | ||||
\(372\) | 1.90815 | − | 0.588586i | 0.0989330 | − | 0.0305168i | ||||
\(373\) | −11.7449 | + | 29.9254i | −0.608126 | + | 1.54948i | 0.211983 | + | 0.977273i | \(0.432008\pi\) |
−0.820109 | + | 0.572207i | \(0.806087\pi\) | |||||||
\(374\) | −14.7513 | − | 10.0573i | −0.762773 | − | 0.520050i | ||||
\(375\) | −12.1632 | + | 1.83331i | −0.628107 | + | 0.0946719i | ||||
\(376\) | −2.36042 | − | 10.3417i | −0.121729 | − | 0.533331i | ||||
\(377\) | 13.6893 | − | 9.33324i | 0.705037 | − | 0.480686i | ||||
\(378\) | 2.37279 | − | 2.20163i | 0.122043 | − | 0.113240i | ||||
\(379\) | 16.2426 | − | 7.82203i | 0.834327 | − | 0.401791i | 0.0325909 | − | 0.999469i | \(-0.489624\pi\) |
0.801736 | + | 0.597678i | \(0.203910\pi\) | |||||||
\(380\) | 1.37542 | + | 2.38230i | 0.0705576 | + | 0.122209i | ||||
\(381\) | −19.8090 | + | 34.3102i | −1.01485 | + | 1.75777i | ||||
\(382\) | −0.891270 | + | 11.8932i | −0.0456014 | + | 0.608508i | ||||
\(383\) | 5.11016 | − | 22.3891i | 0.261117 | − | 1.14403i | −0.658925 | − | 0.752208i | \(-0.728989\pi\) |
0.920042 | − | 0.391819i | \(-0.128154\pi\) | |||||||
\(384\) | 1.28640 | + | 3.27769i | 0.0656462 | + | 0.167264i | ||||
\(385\) | 3.83610 | + | 4.81032i | 0.195506 | + | 0.245157i | ||||
\(386\) | 8.82803 | 0.449335 | ||||||||
\(387\) | −19.9052 | + | 9.61638i | −1.01184 | + | 0.488828i | ||||
\(388\) | −0.872652 | −0.0443022 | ||||||||
\(389\) | −14.2264 | − | 17.8394i | −0.721309 | − | 0.904493i | 0.277102 | − | 0.960841i | \(-0.410626\pi\) |
−0.998411 | + | 0.0563472i | \(0.982055\pi\) | |||||||
\(390\) | −2.25697 | − | 5.75066i | −0.114286 | − | 0.291196i | ||||
\(391\) | −0.397282 | + | 1.74061i | −0.0200914 | + | 0.0880263i | ||||
\(392\) | 0.893365 | − | 11.9211i | 0.0451217 | − | 0.602108i | ||||
\(393\) | 13.5371 | − | 23.4470i | 0.682857 | − | 1.18274i | ||||
\(394\) | −11.3174 | − | 19.6024i | −0.570165 | − | 0.987554i | ||||
\(395\) | −0.451197 | + | 0.217285i | −0.0227022 | + | 0.0109328i | ||||
\(396\) | −8.35764 | + | 7.75476i | −0.419987 | + | 0.389691i | ||||
\(397\) | −7.13200 | + | 4.86251i | −0.357945 | + | 0.244043i | −0.728918 | − | 0.684601i | \(-0.759976\pi\) |
0.370973 | + | 0.928644i | \(0.379024\pi\) | |||||||
\(398\) | −2.29659 | − | 10.0620i | −0.115118 | − | 0.504363i | ||||
\(399\) | 50.0018 | − | 7.53656i | 2.50322 | − | 0.377300i | ||||
\(400\) | 5.32917 | + | 3.63337i | 0.266459 | + | 0.181668i | ||||
\(401\) | 12.3578 | − | 31.4871i | 0.617118 | − | 1.57239i | −0.189862 | − | 0.981811i | \(-0.560804\pi\) |
0.806979 | − | 0.590580i | \(-0.201101\pi\) | |||||||
\(402\) | −26.5940 | + | 8.20317i | −1.32639 | + | 0.409137i | ||||
\(403\) | −3.67738 | − | 1.77093i | −0.183183 | − | 0.0882164i | ||||
\(404\) | −1.11601 | − | 14.8921i | −0.0555234 | − | 0.740908i | ||||
\(405\) | −3.82958 | − | 0.577216i | −0.190293 | − | 0.0286821i | ||||
\(406\) | −8.95233 | − | 8.30655i | −0.444297 | − | 0.412247i | ||||
\(407\) | −13.9916 | − | 4.31583i | −0.693536 | − | 0.213928i | ||||
\(408\) | −21.9514 | + | 27.5262i | −1.08676 | + | 1.36275i | ||||
\(409\) | −15.9968 | + | 20.0594i | −0.790992 | + | 0.991873i | 0.208911 | + | 0.977935i | \(0.433008\pi\) |
−0.999903 | + | 0.0139379i | \(0.995563\pi\) | |||||||
\(410\) | −5.38091 | − | 1.65979i | −0.265744 | − | 0.0819712i | ||||
\(411\) | 14.9611 | + | 13.8818i | 0.737975 | + | 0.684740i | ||||
\(412\) | −0.513944 | − | 0.0774646i | −0.0253202 | − | 0.00381641i | ||||
\(413\) | 1.66121 | + | 22.1673i | 0.0817428 | + | 1.09078i | ||||
\(414\) | −1.23425 | − | 0.594386i | −0.0606603 | − | 0.0292125i | ||||
\(415\) | 1.63146 | − | 0.503237i | 0.0800850 | − | 0.0247029i | ||||
\(416\) | 7.97729 | − | 20.3258i | 0.391119 | − | 0.996555i | ||||
\(417\) | 26.8314 | + | 18.2934i | 1.31394 | + | 0.895830i | ||||
\(418\) | 23.3008 | − | 3.51202i | 1.13968 | − | 0.171779i | ||||
\(419\) | 5.52572 | + | 24.2097i | 0.269949 | + | 1.18272i | 0.910072 | + | 0.414451i | \(0.136026\pi\) |
−0.640123 | + | 0.768273i | \(0.721117\pi\) | |||||||
\(420\) | 3.13121 | − | 2.13482i | 0.152788 | − | 0.104169i | ||||
\(421\) | −14.1439 | + | 13.1236i | −0.689330 | + | 0.639605i | −0.944966 | − | 0.327168i | \(-0.893906\pi\) |
0.255636 | + | 0.966773i | \(0.417715\pi\) | |||||||
\(422\) | −14.4019 | + | 6.93560i | −0.701074 | + | 0.337620i | ||||
\(423\) | −5.88421 | − | 10.1918i | −0.286100 | − | 0.495540i | ||||
\(424\) | −7.25271 | + | 12.5621i | −0.352223 | + | 0.610068i | ||||
\(425\) | 1.62947 | − | 21.7437i | 0.0790408 | − | 1.05473i | ||||
\(426\) | 0.527867 | − | 2.31274i | 0.0255752 | − | 0.112052i | ||||
\(427\) | 6.33868 | + | 16.1507i | 0.306750 | + | 0.781587i | ||||
\(428\) | 9.16012 | + | 11.4864i | 0.442771 | + | 0.555217i | ||||
\(429\) | 44.0418 | 2.12636 | ||||||||
\(430\) | 3.27082 | − | 1.01337i | 0.157733 | − | 0.0488692i | ||||
\(431\) | 32.4273 | 1.56197 | 0.780983 | − | 0.624552i | \(-0.214718\pi\) | ||||
0.780983 | + | 0.624552i | \(0.214718\pi\) | |||||||
\(432\) | −0.793201 | − | 0.994643i | −0.0381629 | − | 0.0478548i | ||||
\(433\) | −6.27055 | − | 15.9771i | −0.301343 | − | 0.767810i | −0.998695 | − | 0.0510807i | \(-0.983733\pi\) |
0.697351 | − | 0.716730i | \(-0.254362\pi\) | |||||||
\(434\) | −0.669458 | + | 2.93309i | −0.0321350 | + | 0.140793i | ||||
\(435\) | 0.333270 | − | 4.44718i | 0.0159791 | − | 0.213226i | ||||
\(436\) | −2.96477 | + | 5.13513i | −0.141987 | + | 0.245928i | ||||
\(437\) | −1.17820 | − | 2.04071i | −0.0563611 | − | 0.0976204i | ||||
\(438\) | −2.29653 | + | 1.10595i | −0.109732 | + | 0.0528444i | ||||
\(439\) | −10.5781 | + | 9.81508i | −0.504867 | + | 0.468448i | −0.891005 | − | 0.453993i | \(-0.849999\pi\) |
0.386138 | + | 0.922441i | \(0.373809\pi\) | |||||||
\(440\) | 4.67151 | − | 3.18498i | 0.222706 | − | 0.151838i | ||||
\(441\) | −2.95124 | − | 12.9302i | −0.140535 | − | 0.615725i | ||||
\(442\) | 22.2266 | − | 3.35012i | 1.05721 | − | 0.159349i | ||||
\(443\) | 15.7039 | + | 10.7067i | 0.746114 | + | 0.508692i | 0.875688 | − | 0.482878i | \(-0.160409\pi\) |
−0.129574 | + | 0.991570i | \(0.541361\pi\) | |||||||
\(444\) | −3.29494 | + | 8.39536i | −0.156371 | + | 0.398426i | ||||
\(445\) | 0.879101 | − | 0.271167i | 0.0416734 | − | 0.0128545i | ||||
\(446\) | 11.0290 | + | 5.31129i | 0.522239 | + | 0.251497i | ||||
\(447\) | −1.40341 | − | 18.7272i | −0.0663788 | − | 0.885764i | ||||
\(448\) | −24.7944 | − | 3.73715i | −1.17142 | − | 0.176564i | ||||
\(449\) | −3.90802 | − | 3.62611i | −0.184431 | − | 0.171127i | 0.582554 | − | 0.812792i | \(-0.302053\pi\) |
−0.766985 | + | 0.641665i | \(0.778244\pi\) | |||||||
\(450\) | 15.9875 | + | 4.93149i | 0.753658 | + | 0.232473i | ||||
\(451\) | 25.0300 | − | 31.3866i | 1.17862 | − | 1.47794i | ||||
\(452\) | 0.963202 | − | 1.20782i | 0.0453052 | − | 0.0568109i | ||||
\(453\) | −11.5187 | − | 3.55304i | −0.541194 | − | 0.166936i | ||||
\(454\) | 6.92330 | + | 6.42388i | 0.324927 | + | 0.301488i | ||||
\(455\) | −7.65964 | − | 1.15451i | −0.359089 | − | 0.0541240i | ||||
\(456\) | −3.47257 | − | 46.3382i | −0.162618 | − | 2.16998i | ||||
\(457\) | −7.16485 | − | 3.45041i | −0.335157 | − | 0.161403i | 0.258734 | − | 0.965949i | \(-0.416695\pi\) |
−0.593891 | + | 0.804545i | \(0.702409\pi\) | |||||||
\(458\) | 15.5722 | − | 4.80338i | 0.727640 | − | 0.224447i | ||||
\(459\) | −1.57126 | + | 4.00351i | −0.0733402 | + | 0.186868i | ||||
\(460\) | −0.145915 | − | 0.0994830i | −0.00680331 | − | 0.00463842i | ||||
\(461\) | −42.1232 | + | 6.34904i | −1.96187 | + | 0.295704i | −0.962139 | + | 0.272559i | \(0.912130\pi\) |
−0.999732 | + | 0.0231454i | \(0.992632\pi\) | |||||||
\(462\) | −7.22371 | − | 31.6491i | −0.336077 | − | 1.47245i | ||||
\(463\) | −4.70372 | + | 3.20694i | −0.218600 | + | 0.149039i | −0.667670 | − | 0.744458i | \(-0.732708\pi\) |
0.449069 | + | 0.893497i | \(0.351756\pi\) | |||||||
\(464\) | −3.51856 | + | 3.26475i | −0.163345 | + | 0.151562i | ||||
\(465\) | −0.989833 | + | 0.476678i | −0.0459024 | + | 0.0221054i | ||||
\(466\) | −2.45374 | − | 4.25001i | −0.113667 | − | 0.196878i | ||||
\(467\) | 3.69374 | − | 6.39775i | 0.170926 | − | 0.296053i | −0.767818 | − | 0.640668i | \(-0.778657\pi\) |
0.938744 | + | 0.344616i | \(0.111991\pi\) | |||||||
\(468\) | 1.07268 | − | 14.3139i | 0.0495846 | − | 0.661661i | ||||
\(469\) | −7.76517 | + | 34.0214i | −0.358562 | + | 1.57096i | ||||
\(470\) | 0.665977 | + | 1.69688i | 0.0307192 | + | 0.0782713i | ||||
\(471\) | 21.1530 | + | 26.5250i | 0.974677 | + | 1.22221i | ||||
\(472\) | 20.4277 | 0.940263 | ||||||||
\(473\) | −1.79400 | + | 24.3457i | −0.0824883 | + | 1.11942i | ||||
\(474\) | 2.64232 | 0.121366 | ||||||||
\(475\) | 17.9433 | + | 22.5001i | 0.823294 | + | 1.03238i | ||||
\(476\) | 5.03768 | + | 12.8358i | 0.230901 | + | 0.588327i | ||||
\(477\) | −3.58098 | + | 15.6893i | −0.163962 | + | 0.718363i | ||||
\(478\) | 0.321257 | − | 4.28687i | 0.0146939 | − | 0.196077i | ||||
\(479\) | −10.3541 | + | 17.9337i | −0.473089 | + | 0.819414i | −0.999526 | − | 0.0308006i | \(-0.990194\pi\) |
0.526437 | + | 0.850214i | \(0.323528\pi\) | |||||||
\(480\) | −2.93867 | − | 5.08993i | −0.134131 | − | 0.232322i | ||||
\(481\) | 16.6088 | − | 7.99837i | 0.757295 | − | 0.364694i | ||||
\(482\) | 2.50008 | − | 2.31974i | 0.113876 | − | 0.105661i | ||||
\(483\) | −2.68224 | + | 1.82872i | −0.122046 | + | 0.0832096i | ||||
\(484\) | 0.577929 | + | 2.53207i | 0.0262695 | + | 0.115094i | ||||
\(485\) | 0.474751 | − | 0.0715573i | 0.0215574 | − | 0.00324925i | ||||
\(486\) | 19.3099 | + | 13.1653i | 0.875915 | + | 0.597189i | ||||
\(487\) | 13.0064 | − | 33.1397i | 0.589376 | − | 1.50170i | −0.255537 | − | 0.966799i | \(-0.582252\pi\) |
0.844912 | − | 0.534905i | \(-0.179653\pi\) | |||||||
\(488\) | 15.2354 | − | 4.69951i | 0.689676 | − | 0.212737i | ||||
\(489\) | −42.5933 | − | 20.5119i | −1.92614 | − | 0.927579i | ||||
\(490\) | 0.153522 | + | 2.04861i | 0.00693542 | + | 0.0925468i | ||||
\(491\) | −0.658494 | − | 0.0992520i | −0.0297174 | − | 0.00447918i | 0.134167 | − | 0.990959i | \(-0.457164\pi\) |
−0.163884 | + | 0.986480i | \(0.552402\pi\) | |||||||
\(492\) | −18.1264 | − | 16.8188i | −0.817201 | − | 0.758252i | ||||
\(493\) | 15.5056 | + | 4.78286i | 0.698339 | + | 0.215409i | ||||
\(494\) | −18.4971 | + | 23.1946i | −0.832222 | + | 1.04357i | ||||
\(495\) | 3.91094 | − | 4.90417i | 0.175784 | − | 0.220426i | ||||
\(496\) | 1.12991 | + | 0.348532i | 0.0507346 | + | 0.0156495i | ||||
\(497\) | −2.18046 | − | 2.02317i | −0.0978070 | − | 0.0907517i | ||||
\(498\) | −8.90763 | − | 1.34261i | −0.399160 | − | 0.0601637i | ||||
\(499\) | −0.537738 | − | 7.17561i | −0.0240724 | − | 0.321224i | −0.996221 | − | 0.0868578i | \(-0.972317\pi\) |
0.972148 | − | 0.234367i | \(-0.0753016\pi\) | |||||||
\(500\) | 3.98866 | + | 1.92084i | 0.178378 | + | 0.0859025i | ||||
\(501\) | −33.4186 | + | 10.3083i | −1.49303 | + | 0.460539i | ||||
\(502\) | −2.08885 | + | 5.32230i | −0.0932299 | + | 0.237546i | ||||
\(503\) | −34.3276 | − | 23.4041i | −1.53059 | − | 1.04354i | −0.977630 | − | 0.210331i | \(-0.932546\pi\) |
−0.552960 | − | 0.833208i | \(-0.686502\pi\) | |||||||
\(504\) | −33.4951 | + | 5.04858i | −1.49199 | + | 0.224881i | ||||
\(505\) | 1.82829 | + | 8.01027i | 0.0813579 | + | 0.356452i | ||||
\(506\) | −1.24992 | + | 0.852180i | −0.0555657 | + | 0.0378840i | ||||
\(507\) | −16.5927 | + | 15.3958i | −0.736907 | + | 0.683750i | ||||
\(508\) | 12.8467 | − | 6.18666i | 0.569982 | − | 0.274489i | ||||
\(509\) | 15.3793 | + | 26.6378i | 0.681677 | + | 1.18070i | 0.974469 | + | 0.224523i | \(0.0720824\pi\) |
−0.292792 | + | 0.956176i | \(0.594584\pi\) | |||||||
\(510\) | 3.02514 | − | 5.23969i | 0.133955 | − | 0.232017i | ||||
\(511\) | −0.238846 | + | 3.18718i | −0.0105659 | + | 0.140992i | ||||
\(512\) | −3.24384 | + | 14.2122i | −0.143359 | + | 0.628096i | ||||
\(513\) | −2.07382 | − | 5.28400i | −0.0915612 | − | 0.233294i | ||||
\(514\) | 5.48466 | + | 6.87754i | 0.241918 | + | 0.303355i | ||||
\(515\) | 0.285955 | 0.0126007 | ||||||||
\(516\) | 14.8713 | + | 2.22256i | 0.654671 | + | 0.0978429i | ||||
\(517\) | −12.9957 | −0.571550 | ||||||||
\(518\) | −8.47191 | − | 10.6234i | −0.372234 | − | 0.466767i | ||||
\(519\) | −12.7909 | − | 32.5907i | −0.561459 | − | 1.43057i | ||||
\(520\) | −1.58398 | + | 6.93985i | −0.0694619 | + | 0.304333i | ||||
\(521\) | −1.14354 | + | 15.2594i | −0.0500992 | + | 0.668528i | 0.914463 | + | 0.404671i | \(0.132614\pi\) |
−0.964562 | + | 0.263857i | \(0.915005\pi\) | |||||||
\(522\) | −6.22533 | + | 10.7826i | −0.272475 | + | 0.471941i | ||||
\(523\) | −0.672029 | − | 1.16399i | −0.0293858 | − | 0.0508977i | 0.850959 | − | 0.525233i | \(-0.176022\pi\) |
−0.880344 | + | 0.474335i | \(0.842688\pi\) | |||||||
\(524\) | −8.77921 | + | 4.22785i | −0.383522 | + | 0.184694i | ||||
\(525\) | 29.0635 | − | 26.9670i | 1.26844 | − | 1.17694i | ||||
\(526\) | −5.28296 | + | 3.60186i | −0.230348 | + | 0.157049i | ||||
\(527\) | −0.889504 | − | 3.89717i | −0.0387474 | − | 0.169763i | ||||
\(528\) | −12.6165 | + | 1.90164i | −0.549065 | + | 0.0827582i | ||||
\(529\) | −18.8785 | − | 12.8711i | −0.820804 | − | 0.559615i | ||||
\(530\) | 0.910691 | − | 2.32040i | 0.0395579 | − | 0.100792i | ||||
\(531\) | 21.6563 | − | 6.68008i | 0.939803 | − | 0.289891i | ||||
\(532\) | −16.3970 | − | 7.89637i | −0.710899 | − | 0.342351i | ||||
\(533\) | 3.77704 | + | 50.4011i | 0.163602 | + | 2.18312i | ||||
\(534\) | −4.79983 | − | 0.723457i | −0.207709 | − | 0.0313071i | ||||
\(535\) | −5.92529 | − | 5.49787i | −0.256173 | − | 0.237693i | ||||
\(536\) | 30.6433 | + | 9.45220i | 1.32359 | + | 0.408273i | ||||
\(537\) | 9.73276 | − | 12.2045i | 0.419999 | − | 0.526663i | ||||
\(538\) | −1.49467 | + | 1.87426i | −0.0644398 | + | 0.0808050i | ||||
\(539\) | −13.9952 | − | 4.31694i | −0.602815 | − | 0.185944i | ||||
\(540\) | −0.311853 | − | 0.289357i | −0.0134200 | − | 0.0124519i | ||||
\(541\) | 0.196272 | + | 0.0295833i | 0.00843841 | + | 0.00127189i | 0.153260 | − | 0.988186i | \(-0.451023\pi\) |
−0.144822 | + | 0.989458i | \(0.546261\pi\) | |||||||
\(542\) | −2.13904 | − | 28.5436i | −0.0918798 | − | 1.22605i | ||||
\(543\) | −8.42065 | − | 4.05517i | −0.361364 | − | 0.174024i | ||||
\(544\) | 20.4348 | − | 6.30329i | 0.876133 | − | 0.270251i | ||||
\(545\) | 1.19185 | − | 3.03679i | 0.0510533 | − | 0.130082i | ||||
\(546\) | 33.7692 | + | 23.0234i | 1.44519 | + | 0.985312i | ||||
\(547\) | −7.85074 | + | 1.18331i | −0.335673 | + | 0.0505946i | −0.314716 | − | 0.949186i | \(-0.601909\pi\) |
−0.0209569 | + | 0.999780i | \(0.506671\pi\) | |||||||
\(548\) | −1.63451 | − | 7.16127i | −0.0698230 | − | 0.305914i | ||||
\(549\) | 14.6149 | − | 9.96430i | 0.623751 | − | 0.425266i | ||||
\(550\) | 13.5436 | − | 12.5666i | 0.577499 | − | 0.535841i | ||||
\(551\) | −19.2956 | + | 9.29226i | −0.822019 | + | 0.395864i | ||||
\(552\) | 1.49160 | + | 2.58353i | 0.0634868 | + | 0.109962i | ||||
\(553\) | 1.65659 | − | 2.86930i | 0.0704454 | − | 0.122015i | ||||
\(554\) | 2.07671 | − | 27.7118i | 0.0882310 | − | 1.17736i | ||||
\(555\) | 1.10414 | − | 4.83754i | 0.0468680 | − | 0.205342i | ||||
\(556\) | −4.26999 | − | 10.8798i | −0.181088 | − | 0.461405i | ||||
\(557\) | −10.9192 | − | 13.6922i | −0.462659 | − | 0.580157i | 0.494697 | − | 0.869065i | \(-0.335279\pi\) |
−0.957357 | + | 0.288909i | \(0.906708\pi\) | |||||||
\(558\) | 3.06721 | 0.129845 | ||||||||
\(559\) | −19.1925 | − | 24.0053i | −0.811755 | − | 1.01531i | ||||
\(560\) | 2.24408 | 0.0948299 | ||||||||
\(561\) | 26.8933 | + | 33.7231i | 1.13543 | + | 1.42379i | ||||
\(562\) | −6.36549 | − | 16.2190i | −0.268512 | − | 0.684158i | ||||
\(563\) | −5.52035 | + | 24.1862i | −0.232655 | + | 1.01933i | 0.714773 | + | 0.699357i | \(0.246530\pi\) |
−0.947427 | + | 0.319971i | \(0.896327\pi\) | |||||||
\(564\) | −0.598193 | + | 7.98233i | −0.0251885 | + | 0.336117i | ||||
\(565\) | −0.424973 | + | 0.736075i | −0.0178788 | + | 0.0309669i | ||||
\(566\) | 8.93679 | + | 15.4790i | 0.375641 | + | 0.650630i | ||||
\(567\) | 23.0849 | − | 11.1171i | 0.969473 | − | 0.466874i | ||||
\(568\) | −2.00373 | + | 1.85919i | −0.0840747 | + | 0.0780099i | ||||
\(569\) | −23.8352 | + | 16.2505i | −0.999222 | + | 0.681258i | −0.948277 | − | 0.317443i | \(-0.897176\pi\) |
−0.0509448 | + | 0.998701i | \(0.516223\pi\) | |||||||
\(570\) | 1.77692 | + | 7.78520i | 0.0744270 | + | 0.326086i | ||||
\(571\) | −32.2418 | + | 4.85967i | −1.34928 | + | 0.203371i | −0.783605 | − | 0.621259i | \(-0.786621\pi\) |
−0.565672 | + | 0.824630i | \(0.691383\pi\) | |||||||
\(572\) | −13.0967 | − | 8.92916i | −0.547600 | − | 0.373347i | ||||
\(573\) | 10.5269 | − | 26.8221i | 0.439768 | − | 1.12051i | ||||
\(574\) | 35.5995 | − | 10.9810i | 1.48590 | − | 0.458338i | ||||
\(575\) | −1.66460 | − | 0.801630i | −0.0694187 | − | 0.0334303i | ||||
\(576\) | 1.91037 | + | 25.4921i | 0.0795988 | + | 1.06217i | ||||
\(577\) | 33.2474 | + | 5.01124i | 1.38411 | + | 0.208621i | 0.798510 | − | 0.601982i | \(-0.205622\pi\) |
0.585597 | + | 0.810602i | \(0.300860\pi\) | |||||||
\(578\) | 3.11760 | + | 2.89271i | 0.129675 | + | 0.120321i | ||||
\(579\) | −20.3806 | − | 6.28657i | −0.846987 | − | 0.261261i | ||||
\(580\) | −1.00074 | + | 1.25489i | −0.0415534 | + | 0.0521063i | ||||
\(581\) | −7.04254 | + | 8.83106i | −0.292174 | + | 0.366374i | ||||
\(582\) | −2.42068 | − | 0.746680i | −0.100340 | − | 0.0309509i | ||||
\(583\) | 13.0271 | + | 12.0873i | 0.539526 | + | 0.500607i | ||||
\(584\) | 2.90426 | + | 0.437747i | 0.120179 | + | 0.0181141i | ||||
\(585\) | 0.590165 | + | 7.87520i | 0.0244003 | + | 0.325600i | ||||
\(586\) | −28.1566 | − | 13.5595i | −1.16314 | − | 0.560137i | ||||
\(587\) | 15.4987 | − | 4.78070i | 0.639698 | − | 0.197321i | 0.0420960 | − | 0.999114i | \(-0.486596\pi\) |
0.597602 | + | 0.801793i | \(0.296120\pi\) | |||||||
\(588\) | −3.29579 | + | 8.39753i | −0.135916 | + | 0.346308i | ||||
\(589\) | 4.35918 | + | 2.97204i | 0.179617 | + | 0.122461i | ||||
\(590\) | −3.47124 | + | 0.523205i | −0.142909 | + | 0.0215400i | ||||
\(591\) | 12.1685 | + | 53.3138i | 0.500546 | + | 2.19303i | ||||
\(592\) | −4.41252 | + | 3.00840i | −0.181353 | + | 0.123645i | ||||
\(593\) | 32.4141 | − | 30.0759i | 1.33109 | − | 1.23507i | 0.380438 | − | 0.924807i | \(-0.375773\pi\) |
0.950651 | − | 0.310263i | \(-0.100417\pi\) | |||||||
\(594\) | −3.28328 | + | 1.58114i | −0.134714 | + | 0.0648751i | ||||
\(595\) | −3.79319 | − | 6.57000i | −0.155506 | − | 0.269344i | ||||
\(596\) | −3.37946 | + | 5.85340i | −0.138428 | + | 0.239765i | ||||
\(597\) | −1.86336 | + | 24.8648i | −0.0762622 | + | 1.01765i | ||||
\(598\) | 0.423811 | − | 1.85684i | 0.0173309 | − | 0.0759318i | ||||
\(599\) | 1.51367 | + | 3.85676i | 0.0618468 | + | 0.157583i | 0.958457 | − | 0.285238i | \(-0.0920728\pi\) |
−0.896610 | + | 0.442821i | \(0.853978\pi\) | |||||||
\(600\) | −22.7161 | − | 28.4851i | −0.927382 | − | 1.16290i | ||||
\(601\) | 19.9921 | 0.815496 | 0.407748 | − | 0.913094i | \(-0.366314\pi\) | ||||
0.407748 | + | 0.913094i | \(0.366314\pi\) | |||||||
\(602\) | −14.1026 | + | 17.7293i | −0.574779 | + | 0.722593i | ||||
\(603\) | 35.5772 | 1.44881 | ||||||||
\(604\) | 2.70494 | + | 3.39189i | 0.110062 | + | 0.138014i | ||||
\(605\) | −0.522042 | − | 1.33014i | −0.0212240 | − | 0.0540779i | ||||
\(606\) | 9.64660 | − | 42.2645i | 0.391866 | − | 1.71688i | ||||
\(607\) | −1.35174 | + | 18.0378i | −0.0548656 | + | 0.732130i | 0.900151 | + | 0.435578i | \(0.143456\pi\) |
−0.955017 | + | 0.296552i | \(0.904163\pi\) | |||||||
\(608\) | −14.1123 | + | 24.4432i | −0.572329 | + | 0.991304i | ||||
\(609\) | 14.7523 | + | 25.5517i | 0.597793 | + | 1.03541i | ||||
\(610\) | −2.46856 | + | 1.18880i | −0.0999490 | + | 0.0481329i | ||||
\(611\) | 11.9939 | − | 11.1287i | 0.485221 | − | 0.450219i | ||||
\(612\) | 11.6153 | − | 7.91915i | 0.469519 | − | 0.320112i | ||||
\(613\) | −8.34759 | − | 36.5732i | −0.337156 | − | 1.47718i | −0.804952 | − | 0.593340i | \(-0.797809\pi\) |
0.467796 | − | 0.883836i | \(-0.345048\pi\) | |||||||
\(614\) | −13.8880 | + | 2.09327i | −0.560473 | + | 0.0844777i | ||||
\(615\) | 11.2405 | + | 7.66365i | 0.453261 | + | 0.309028i | ||||
\(616\) | −13.6659 | + | 34.8202i | −0.550616 | + | 1.40295i | ||||
\(617\) | −8.65578 | + | 2.66996i | −0.348469 | + | 0.107488i | −0.464048 | − | 0.885810i | \(-0.653604\pi\) |
0.115580 | + | 0.993298i | \(0.463127\pi\) | |||||||
\(618\) | −1.35936 | − | 0.654635i | −0.0546816 | − | 0.0263333i | ||||
\(619\) | 0.370823 | + | 4.94829i | 0.0149046 | + | 0.198889i | 0.999685 | + | 0.0250867i | \(0.00798620\pi\) |
−0.984781 | + | 0.173802i | \(0.944395\pi\) | |||||||
\(620\) | 0.390989 | + | 0.0589321i | 0.0157025 | + | 0.00236677i | ||||
\(621\) | 0.267137 | + | 0.247867i | 0.0107199 | + | 0.00994657i | ||||
\(622\) | −15.1651 | − | 4.67780i | −0.608063 | − | 0.187563i | ||||
\(623\) | −3.79483 | + | 4.75857i | −0.152037 | + | 0.190648i | ||||
\(624\) | 10.0155 | − | 12.5591i | 0.400941 | − | 0.502765i | ||||
\(625\) | 20.3683 | + | 6.28279i | 0.814732 | + | 0.251311i | ||||
\(626\) | 8.72481 | + | 8.09544i | 0.348714 | + | 0.323559i | ||||
\(627\) | −56.2935 | − | 8.48488i | −2.24815 | − | 0.338854i | ||||
\(628\) | −0.912488 | − | 12.1763i | −0.0364122 | − | 0.485888i | ||||
\(629\) | 16.2662 | + | 7.83340i | 0.648576 | + | 0.312338i | ||||
\(630\) | 5.56244 | − | 1.71579i | 0.221613 | − | 0.0683586i | ||||
\(631\) | 12.7382 | − | 32.4564i | 0.507100 | − | 1.29207i | −0.416647 | − | 0.909068i | \(-0.636795\pi\) |
0.923748 | − | 0.383002i | \(-0.125110\pi\) | |||||||
\(632\) | −2.51560 | − | 1.71511i | −0.100065 | − | 0.0682233i | ||||
\(633\) | 38.1875 | − | 5.75583i | 1.51782 | − | 0.228774i | ||||
\(634\) | −5.30506 | − | 23.2430i | −0.210691 | − | 0.923096i | ||||
\(635\) | −6.48174 | + | 4.41918i | −0.257220 | + | 0.175370i | ||||
\(636\) | 8.02403 | − | 7.44521i | 0.318173 | − | 0.295222i | ||||
\(637\) | 16.6131 | − | 8.00043i | 0.658234 | − | 0.316989i | ||||
\(638\) | 6.87454 | + | 11.9071i | 0.272166 | + | 0.471405i | ||||
\(639\) | −1.51626 | + | 2.62625i | −0.0599825 | + | 0.103893i | ||||
\(640\) | −0.0521034 | + | 0.695271i | −0.00205957 | + | 0.0274830i | ||||
\(641\) | 9.77409 | − | 42.8231i | 0.386053 | − | 1.69141i | −0.292017 | − | 0.956413i | \(-0.594326\pi\) |
0.678070 | − | 0.734997i | \(-0.262816\pi\) | |||||||
\(642\) | 15.5812 | + | 39.7004i | 0.614943 | + | 1.56685i | ||||
\(643\) | 14.3909 | + | 18.0457i | 0.567523 | + | 0.711651i | 0.979929 | − | 0.199349i | \(-0.0638828\pi\) |
−0.412406 | + | 0.911000i | \(0.635311\pi\) | |||||||
\(644\) | 1.16837 | 0.0460404 | ||||||||
\(645\) | −8.27271 | + | 0.0102932i | −0.325738 | + | 0.000405295i | ||||
\(646\) | −29.0551 | −1.14316 | ||||||||
\(647\) | −27.5277 | − | 34.5186i | −1.08222 | − | 1.35707i | −0.929511 | − | 0.368796i | \(-0.879770\pi\) |
−0.152714 | − | 0.988270i | \(-0.548801\pi\) | |||||||
\(648\) | −8.60215 | − | 21.9179i | −0.337924 | − | 0.861017i | ||||
\(649\) | 5.56894 | − | 24.3991i | 0.218600 | − | 0.957749i | ||||
\(650\) | −1.73828 | + | 23.1957i | −0.0681808 | + | 0.909810i | ||||
\(651\) | 3.63422 | − | 6.29465i | 0.142436 | − | 0.246707i | ||||
\(652\) | 8.50730 | + | 14.7351i | 0.333172 | + | 0.577070i | ||||
\(653\) | −5.99963 | + | 2.88927i | −0.234783 | + | 0.113066i | −0.547577 | − | 0.836755i | \(-0.684450\pi\) |
0.312793 | + | 0.949821i | \(0.398735\pi\) | |||||||
\(654\) | −12.6179 | + | 11.7077i | −0.493399 | + | 0.457807i | ||||
\(655\) | 4.42950 | − | 3.01998i | 0.173075 | − | 0.118000i | ||||
\(656\) | −3.25822 | − | 14.2752i | −0.127212 | − | 0.557352i | ||||
\(657\) | 3.22207 | − | 0.485650i | 0.125705 | − | 0.0189470i | ||||
\(658\) | −9.96448 | − | 6.79367i | −0.388456 | − | 0.264845i | ||||
\(659\) | −3.46012 | + | 8.81623i | −0.134787 | + | 0.343432i | −0.982292 | − | 0.187355i | \(-0.940008\pi\) |
0.847505 | + | 0.530787i | \(0.178104\pi\) | |||||||
\(660\) | −4.07702 | + | 1.25760i | −0.158698 | + | 0.0489518i | ||||
\(661\) | −15.1724 | − | 7.30666i | −0.590140 | − | 0.284196i | 0.114885 | − | 0.993379i | \(-0.463350\pi\) |
−0.705025 | + | 0.709183i | \(0.749064\pi\) | |||||||
\(662\) | −1.21414 | − | 16.2016i | −0.0471889 | − | 0.629692i | ||||
\(663\) | −53.6984 | − | 8.09374i | −2.08547 | − | 0.314335i | ||||
\(664\) | 7.60897 | + | 7.06009i | 0.295285 | + | 0.273985i | ||||
\(665\) | 9.56800 | + | 2.95134i | 0.371031 | + | 0.114448i | ||||
\(666\) | −8.63720 | + | 10.8307i | −0.334685 | + | 0.419681i | ||||
\(667\) | 0.857246 | − | 1.07495i | 0.0331927 | − | 0.0416223i | ||||
\(668\) | 12.0276 | + | 3.71002i | 0.465361 | + | 0.143545i | ||||
\(669\) | −21.6795 | − | 20.1157i | −0.838179 | − | 0.777717i | ||||
\(670\) | −5.44924 | − | 0.821340i | −0.210522 | − | 0.0317311i | ||||
\(671\) | −1.45972 | − | 19.4786i | −0.0563517 | − | 0.751961i | ||||
\(672\) | 35.0332 | + | 16.8711i | 1.35143 | + | 0.650816i | ||||
\(673\) | 17.2152 | − | 5.31018i | 0.663597 | − | 0.204692i | 0.0553823 | − | 0.998465i | \(-0.482362\pi\) |
0.608214 | + | 0.793773i | \(0.291886\pi\) | |||||||
\(674\) | −5.68882 | + | 14.4949i | −0.219125 | + | 0.558322i | ||||
\(675\) | −3.67729 | − | 2.50713i | −0.141539 | − | 0.0964995i | ||||
\(676\) | 8.05553 | − | 1.21418i | 0.309828 | − | 0.0466990i | ||||
\(677\) | −1.20314 | − | 5.27130i | −0.0462404 | − | 0.202592i | 0.946531 | − | 0.322613i | \(-0.104561\pi\) |
−0.992771 | + | 0.120020i | \(0.961704\pi\) | |||||||
\(678\) | 3.70532 | − | 2.52624i | 0.142302 | − | 0.0970198i | ||||
\(679\) | −2.32845 | + | 2.16049i | −0.0893578 | + | 0.0829120i | ||||
\(680\) | −6.28110 | + | 3.02482i | −0.240869 | + | 0.115997i | ||||
\(681\) | −11.4087 | − | 19.7605i | −0.437183 | − | 0.757223i | ||||
\(682\) | 1.69354 | − | 2.93329i | 0.0648489 | − | 0.112322i | ||||
\(683\) | −2.75414 | + | 36.7514i | −0.105384 | + | 1.40626i | 0.654434 | + | 0.756119i | \(0.272907\pi\) |
−0.759818 | + | 0.650136i | \(0.774712\pi\) | |||||||
\(684\) | −4.12873 | + | 18.0891i | −0.157866 | + | 0.691655i | ||||
\(685\) | 1.47645 | + | 3.76194i | 0.0564123 | + | 0.143736i | ||||
\(686\) | 6.60383 | + | 8.28095i | 0.252136 | + | 0.316168i | ||||
\(687\) | −39.3708 | −1.50209 | ||||||||
\(688\) | 6.53451 | + | 6.04802i | 0.249126 | + | 0.230579i | ||||
\(689\) | −22.3737 | −0.852369 | ||||||||
\(690\) | −0.319635 | − | 0.400810i | −0.0121683 | − | 0.0152586i | ||||
\(691\) | 3.64459 | + | 9.28626i | 0.138647 | + | 0.353266i | 0.983285 | − | 0.182071i | \(-0.0582800\pi\) |
−0.844639 | + | 0.535337i | \(0.820185\pi\) | |||||||
\(692\) | −2.80391 | + | 12.2847i | −0.106589 | + | 0.466995i | ||||
\(693\) | −3.10125 | + | 41.3833i | −0.117807 | + | 1.57202i | ||||
\(694\) | 14.1912 | − | 24.5799i | 0.538691 | − | 0.933041i | ||||
\(695\) | 3.21515 | + | 5.56881i | 0.121958 | + | 0.211237i | ||||
\(696\) | 24.4281 | − | 11.7640i | 0.925946 | − | 0.445912i | ||||
\(697\) | −36.2861 | + | 33.6685i | −1.37443 | + | 1.27529i | ||||
\(698\) | −24.4775 | + | 16.6884i | −0.926485 | + | 0.631667i | ||||
\(699\) | 2.63826 | + | 11.5590i | 0.0997883 | + | 0.437201i | ||||
\(700\) | −14.1100 | + | 2.12673i | −0.533306 | + | 0.0803830i | ||||
\(701\) | 9.62158 | + | 6.55988i | 0.363402 | + | 0.247763i | 0.731231 | − | 0.682130i | \(-0.238946\pi\) |
−0.367829 | + | 0.929894i | \(0.619899\pi\) | |||||||
\(702\) | 1.67618 | − | 4.27085i | 0.0632635 | − | 0.161193i | ||||
\(703\) | −22.7700 | + | 7.02361i | −0.858786 | + | 0.264900i | ||||
\(704\) | 25.4339 | + | 12.2483i | 0.958576 | + | 0.461626i | ||||
\(705\) | −0.329113 | − | 4.39170i | −0.0123951 | − | 0.165401i | ||||
\(706\) | −20.3762 | − | 3.07122i | −0.766869 | − | 0.115587i | ||||
\(707\) | −39.8472 | − | 36.9728i | −1.49861 | − | 1.39051i | ||||
\(708\) | −14.7303 | − | 4.54369i | −0.553598 | − | 0.170762i | ||||
\(709\) | 10.4090 | − | 13.0524i | 0.390916 | − | 0.490194i | −0.546962 | − | 0.837157i | \(-0.684216\pi\) |
0.937879 | + | 0.346964i | \(0.112787\pi\) | |||||||
\(710\) | 0.292871 | − | 0.367249i | 0.0109913 | − | 0.0137826i | ||||
\(711\) | −3.22775 | − | 0.995630i | −0.121050 | − | 0.0373390i | ||||
\(712\) | 4.10005 | + | 3.80429i | 0.153656 | + | 0.142572i | ||||
\(713\) | −0.334926 | − | 0.0504820i | −0.0125431 | − | 0.00189057i | ||||
\(714\) | 2.99129 | + | 39.9161i | 0.111946 | + | 1.49382i | ||||
\(715\) | 7.85722 | + | 3.78384i | 0.293843 | + | 0.141507i | ||||
\(716\) | −5.36859 | + | 1.65599i | −0.200634 | + | 0.0618873i | ||||
\(717\) | −3.79440 | + | 9.66798i | −0.141705 | + | 0.361057i | ||||
\(718\) | 24.3243 | + | 16.5840i | 0.907774 | + | 0.618910i | ||||
\(719\) | 31.8762 | − | 4.80456i | 1.18878 | − | 0.179180i | 0.475280 | − | 0.879834i | \(-0.342347\pi\) |
0.713501 | + | 0.700654i | \(0.247109\pi\) | |||||||
\(720\) | −0.509098 | − | 2.23050i | −0.0189730 | − | 0.0831260i | ||||
\(721\) | −1.56312 | + | 1.06571i | −0.0582135 | + | 0.0396893i | ||||
\(722\) | 13.5596 | − | 12.5815i | 0.504636 | − | 0.468233i | ||||
\(723\) | −7.42365 | + | 3.57504i | −0.276089 | + | 0.132957i | ||||
\(724\) | 1.68188 | + | 2.91311i | 0.0625067 | + | 0.108265i | ||||
\(725\) | −8.39591 | + | 14.5421i | −0.311816 | + | 0.540082i | ||||
\(726\) | −0.563418 | + | 7.51829i | −0.0209104 | + | 0.279030i | ||||
\(727\) | −4.68039 | + | 20.5061i | −0.173586 | + | 0.760529i | 0.810917 | + | 0.585161i | \(0.198969\pi\) |
−0.984503 | + | 0.175368i | \(0.943888\pi\) | |||||||
\(728\) | −17.2054 | − | 43.8386i | −0.637674 | − | 1.62477i | ||||
\(729\) | −20.7105 | − | 25.9701i | −0.767054 | − | 0.961855i | ||||
\(730\) | −0.504726 | −0.0186807 | ||||||||
\(731\) | 6.66147 | − | 29.3541i | 0.246383 | − | 1.08570i | ||||
\(732\) | −12.0315 | −0.444696 | ||||||||
\(733\) | 2.81862 | + | 3.53443i | 0.104108 | + | 0.130547i | 0.831156 | − | 0.556039i | \(-0.187680\pi\) |
−0.727048 | + | 0.686587i | \(0.759108\pi\) | |||||||
\(734\) | 11.2751 | + | 28.7286i | 0.416173 | + | 1.06039i | ||||
\(735\) | 1.10442 | − | 4.83879i | 0.0407372 | − | 0.178481i | ||||
\(736\) | 0.135410 | − | 1.80692i | 0.00499129 | − | 0.0666041i | ||||
\(737\) | 19.6437 | − | 34.0238i | 0.723584 | − | 1.25328i | ||||
\(738\) | −18.9907 | − | 32.8929i | −0.699059 | − | 1.21081i | ||||
\(739\) | 6.30660 | − | 3.03710i | 0.231992 | − | 0.111722i | −0.314277 | − | 0.949331i | \(-0.601762\pi\) |
0.546269 | + | 0.837610i | \(0.316048\pi\) | |||||||
\(740\) | −1.30911 | + | 1.21468i | −0.0481239 | + | 0.0446525i | ||||
\(741\) | 59.2199 | − | 40.3754i | 2.17550 | − | 1.48323i | ||||
\(742\) | 3.66971 | + | 16.0781i | 0.134719 | + | 0.590244i | ||||
\(743\) | 22.7632 | − | 3.43099i | 0.835099 | − | 0.125871i | 0.282447 | − | 0.959283i | \(-0.408854\pi\) |
0.552652 | + | 0.833412i | \(0.313616\pi\) | |||||||
\(744\) | −5.51871 | − | 3.76259i | −0.202326 | − | 0.137943i | ||||
\(745\) | 1.35856 | − | 3.46156i | 0.0497739 | − | 0.126822i | ||||
\(746\) | 32.0949 | − | 9.89996i | 1.17508 | − | 0.362463i | ||||
\(747\) | 10.3753 | + | 4.99649i | 0.379613 | + | 0.182812i | ||||
\(748\) | −1.16011 | − | 15.4806i | −0.0424179 | − | 0.566027i | ||||
\(749\) | 52.8793 | + | 7.97027i | 1.93217 | + | 0.291227i | ||||
\(750\) | 9.42072 | + | 8.74115i | 0.343996 | + | 0.319182i | ||||
\(751\) | 13.6946 | + | 4.22423i | 0.499723 | + | 0.154144i | 0.534362 | − | 0.845256i | \(-0.320552\pi\) |
−0.0346389 | + | 0.999400i | \(0.511028\pi\) | |||||||
\(752\) | −2.95534 | + | 3.70588i | −0.107770 | + | 0.135139i | ||||
\(753\) | 8.61244 | − | 10.7997i | 0.313855 | − | 0.393561i | ||||
\(754\) | −16.5410 | − | 5.10224i | −0.602389 | − | 0.185813i | ||||
\(755\) | −1.74971 | − | 1.62349i | −0.0636785 | − | 0.0590850i | ||||
\(756\) | 2.78308 | + | 0.419482i | 0.101220 | + | 0.0152564i | ||||
\(757\) | 2.72389 | + | 36.3478i | 0.0990014 | + | 1.32108i | 0.796562 | + | 0.604556i | \(0.206650\pi\) |
−0.697561 | + | 0.716526i | \(0.745731\pi\) | |||||||
\(758\) | −16.9699 | − | 8.17225i | −0.616373 | − | 0.296829i | ||||
\(759\) | 3.49243 | − | 1.07727i | 0.126767 | − | 0.0391025i | ||||
\(760\) | 3.36161 | − | 8.56523i | 0.121938 | − | 0.310694i | ||||
\(761\) | −36.7441 | − | 25.0517i | −1.33197 | − | 0.908124i | −0.332585 | − | 0.943073i | \(-0.607921\pi\) |
−0.999389 | + | 0.0349488i | \(0.988873\pi\) | |||||||
\(762\) | 40.9296 | − | 6.16914i | 1.48272 | − | 0.223484i | ||||
\(763\) | 4.80268 | + | 21.0419i | 0.173869 | + | 0.761768i | ||||
\(764\) | −8.56836 | + | 5.84181i | −0.309993 | + | 0.211349i | ||||
\(765\) | −5.66971 | + | 5.26073i | −0.204989 | + | 0.190202i | ||||
\(766\) | −21.6170 | + | 10.4102i | −0.781054 | + | 0.376136i | ||||
\(767\) | 15.7542 | + | 27.2871i | 0.568852 | + | 0.985281i | ||||
\(768\) | 20.9797 | − | 36.3379i | 0.757039 | − | 1.31123i | ||||
\(769\) | 0.188022 | − | 2.50898i | 0.00678024 | − | 0.0904761i | −0.992787 | − | 0.119891i | \(-0.961745\pi\) |
0.999567 | + | 0.0294151i | \(0.00936447\pi\) | |||||||
\(770\) | 1.43039 | − | 6.26694i | 0.0515476 | − | 0.225845i | ||||
\(771\) | −7.76438 | − | 19.7833i | −0.279627 | − | 0.712479i | ||||
\(772\) | 4.78599 | + | 6.00144i | 0.172251 | + | 0.215997i | ||||
\(773\) | −44.8085 | −1.61165 | −0.805824 | − | 0.592155i | \(-0.798277\pi\) | ||||
−0.805824 | + | 0.592155i | \(0.798277\pi\) | |||||||
\(774\) | 20.8214 | + | 9.99515i | 0.748409 | + | 0.359268i | ||||
\(775\) | 4.13665 | 0.148593 | ||||||||
\(776\) | 1.81992 | + | 2.28211i | 0.0653315 | + | 0.0819231i | ||||
\(777\) | 11.9933 | + | 30.5584i | 0.430257 | + | 1.09628i | ||||
\(778\) | −5.30469 | + | 23.2414i | −0.190182 | + | 0.833243i | ||||
\(779\) | 4.88228 | − | 65.1495i | 0.174926 | − | 2.33422i | ||||
\(780\) | 2.68581 | − | 4.65196i | 0.0961673 | − | 0.166567i | ||||
\(781\) | 1.67439 | + | 2.90013i | 0.0599143 | + | 0.103775i | ||||
\(782\) | 1.68058 | − | 0.809326i | 0.0600975 | − | 0.0289415i | ||||
\(783\) | 2.42791 | − | 2.25277i | 0.0867664 | − | 0.0805074i | ||||
\(784\) | −4.41366 | + | 3.00918i | −0.157631 | + | 0.107471i | ||||
\(785\) | 1.49488 | + | 6.54949i | 0.0533545 | + | 0.233761i | ||||
\(786\) | −27.9705 | + | 4.21587i | −0.997674 | + | 0.150375i | ||||
\(787\) | 2.14540 | + | 1.46271i | 0.0764753 | + | 0.0521400i | 0.600954 | − | 0.799284i | \(-0.294787\pi\) |
−0.524479 | + | 0.851423i | \(0.675740\pi\) | |||||||
\(788\) | 7.19044 | − | 18.3209i | 0.256149 | − | 0.652656i | ||||
\(789\) | 14.7613 | − | 4.55325i | 0.525515 | − | 0.162100i | ||||
\(790\) | 0.471399 | + | 0.227014i | 0.0167716 | + | 0.00807678i | ||||
\(791\) | −0.420219 | − | 5.60743i | −0.0149413 | − | 0.199377i | ||||
\(792\) | 37.7098 | + | 5.68383i | 1.33996 | + | 0.201966i | ||||
\(793\) | 18.0274 | + | 16.7270i | 0.640172 | + | 0.593992i | ||||
\(794\) | 8.61770 | + | 2.65821i | 0.305831 | + | 0.0943363i | ||||
\(795\) | −3.75483 | + | 4.70841i | −0.133170 | + | 0.166990i | ||||
\(796\) | 5.59526 | − | 7.01623i | 0.198319 | − | 0.248684i | ||||
\(797\) | 22.5905 | + | 6.96825i | 0.800197 | + | 0.246828i | 0.667773 | − | 0.744365i | \(-0.267248\pi\) |
0.132424 | + | 0.991193i | \(0.457724\pi\) | |||||||
\(798\) | −38.7276 | − | 35.9340i | −1.37094 | − | 1.27205i | ||||
\(799\) | 15.8451 | + | 2.38827i | 0.560560 | + | 0.0844909i | ||||
\(800\) | 1.65376 | + | 22.0679i | 0.0584694 | + | 0.780220i | ||||
\(801\) | 5.59068 | + | 2.69233i | 0.197537 | + | 0.0951288i | ||||
\(802\) | −33.7697 | + | 10.4166i | −1.19245 | + | 0.367822i | ||||
\(803\) | 1.31460 | − | 3.34954i | 0.0463912 | − | 0.118203i | ||||
\(804\) | −19.9942 | − | 13.6318i | −0.705141 | − | 0.480757i | ||||
\(805\) | −0.635634 | + | 0.0958065i | −0.0224032 | + | 0.00337673i | ||||
\(806\) | 0.948902 | + | 4.15741i | 0.0334236 | + | 0.146439i | ||||
\(807\) | 4.78531 | − | 3.26257i | 0.168451 | − | 0.114848i | ||||
\(808\) | −36.6175 | + | 33.9761i | −1.28820 | + | 1.19527i | ||||
\(809\) | −36.0711 | + | 17.3709i | −1.26819 | + | 0.610729i | −0.942329 | − | 0.334689i | \(-0.891369\pi\) |
−0.325862 | + | 0.945417i | \(0.605655\pi\) | |||||||
\(810\) | 2.02312 | + | 3.50414i | 0.0710851 | + | 0.123123i | ||||
\(811\) | 4.66195 | − | 8.07473i | 0.163703 | − | 0.283542i | −0.772491 | − | 0.635026i | \(-0.780989\pi\) |
0.936194 | + | 0.351484i | \(0.114323\pi\) | |||||||
\(812\) | 0.793552 | − | 10.5892i | 0.0278482 | − | 0.371608i | ||||
\(813\) | −15.3880 | + | 67.4194i | −0.539682 | + | 2.36450i | ||||
\(814\) | 5.58886 | + | 14.2402i | 0.195889 | + | 0.499118i | ||||
\(815\) | −5.83653 | − | 7.31878i | −0.204445 | − | 0.256366i | ||||
\(816\) | 15.7323 | 0.550741 | ||||||||
\(817\) | 19.9067 | + | 34.3806i | 0.696448 | + | 1.20283i | ||||
\(818\) | 26.8057 | 0.937238 | ||||||||
\(819\) | −32.5758 | − | 40.8488i | −1.13829 | − | 1.42737i | ||||
\(820\) | −1.78883 | − | 4.55786i | −0.0624686 | − | 0.159167i | ||||
\(821\) | 0.416311 | − | 1.82398i | 0.0145294 | − | 0.0636573i | −0.967144 | − | 0.254231i | \(-0.918178\pi\) |
0.981673 | + | 0.190574i | \(0.0610348\pi\) | |||||||
\(822\) | 1.59347 | − | 21.2634i | 0.0555788 | − | 0.741648i | ||||
\(823\) | −3.86127 | + | 6.68791i | −0.134595 | + | 0.233126i | −0.925443 | − | 0.378887i | \(-0.876307\pi\) |
0.790847 | + | 0.612013i | \(0.209640\pi\) | |||||||
\(824\) | 0.869254 | + | 1.50559i | 0.0302819 | + | 0.0524498i | ||||
\(825\) | −40.2157 | + | 19.3669i | −1.40013 | + | 0.674268i | ||||
\(826\) | 17.0249 | − | 15.7968i | 0.592374 | − | 0.549642i | ||||
\(827\) | 8.94564 | − | 6.09903i | 0.311070 | − | 0.212084i | −0.397714 | − | 0.917509i | \(-0.630196\pi\) |
0.708784 | + | 0.705425i | \(0.249244\pi\) | |||||||
\(828\) | −0.265060 | − | 1.16130i | −0.00921147 | − | 0.0403581i | ||||
\(829\) | 16.5194 | − | 2.48990i | 0.573742 | − | 0.0864777i | 0.144239 | − | 0.989543i | \(-0.453927\pi\) |
0.429503 | + | 0.903065i | \(0.358689\pi\) | |||||||
\(830\) | −1.47380 | − | 1.00482i | −0.0511564 | − | 0.0348778i | ||||
\(831\) | −24.5283 | + | 62.4970i | −0.850877 | + | 2.16800i | ||||
\(832\) | −33.9619 | + | 10.4759i | −1.17742 | + | 0.363186i | ||||
\(833\) | 16.2704 | + | 7.83542i | 0.563736 | + | 0.271481i | ||||
\(834\) | −2.53546 | − | 33.8333i | −0.0877956 | − | 1.17155i | ||||
\(835\) | −6.84762 | − | 1.03211i | −0.236972 | − | 0.0357177i | ||||
\(836\) | 15.0197 | + | 13.9362i | 0.519467 | + | 0.481995i | ||||
\(837\) | −0.779673 | − | 0.240497i | −0.0269494 | − | 0.00831280i | ||||
\(838\) | 16.1759 | − | 20.2840i | 0.558788 | − | 0.700698i | ||||
\(839\) | 1.42431 | − | 1.78602i | 0.0491725 | − | 0.0616604i | −0.756637 | − | 0.653835i | \(-0.773159\pi\) |
0.805810 | + | 0.592175i | \(0.201730\pi\) | |||||||
\(840\) | −12.1131 | − | 3.73638i | −0.417940 | − | 0.128917i | ||||
\(841\) | 12.0982 | + | 11.2255i | 0.417180 | + | 0.387087i | ||||
\(842\) | 19.9332 | + | 3.00445i | 0.686944 | + | 0.103540i | ||||
\(843\) | 3.14570 | + | 41.9765i | 0.108344 | + | 1.44575i | ||||
\(844\) | −12.5227 | − | 6.03062i | −0.431050 | − | 0.207583i | ||||
\(845\) | −4.28291 | + | 1.32110i | −0.147337 | + | 0.0454473i | ||||
\(846\) | −4.49199 | + | 11.4454i | −0.154438 | + | 0.393501i | ||||
\(847\) | 7.81089 | + | 5.32538i | 0.268385 | + | 0.182982i | ||||
\(848\) | 6.40932 | − | 0.966050i | 0.220097 | − | 0.0331743i | ||||
\(849\) | −9.60884 | − | 42.0991i | −0.329774 | − | 1.44484i | ||||
\(850\) | −18.8225 | + | 12.8330i | −0.645607 | + | 0.440167i | ||||
\(851\) | 1.12140 | − | 1.04051i | 0.0384412 | − | 0.0356682i | ||||
\(852\) | 1.85841 | − | 0.894964i | 0.0636681 | − | 0.0306610i | ||||
\(853\) | −7.02133 | − | 12.1613i | −0.240406 | − | 0.416395i | 0.720424 | − | 0.693534i | \(-0.243947\pi\) |
−0.960830 | + | 0.277139i | \(0.910614\pi\) | |||||||
\(854\) | 9.06342 | − | 15.6983i | 0.310144 | − | 0.537185i | ||||
\(855\) | 0.762859 | − | 10.1796i | 0.0260892 | − | 0.348136i | ||||
\(856\) | 10.9352 | − | 47.9101i | 0.373756 | − | 1.63753i | ||||
\(857\) | −14.6979 | − | 37.4496i | −0.502071 | − | 1.27926i | −0.927351 | − | 0.374194i | \(-0.877920\pi\) |
0.425280 | − | 0.905062i | \(-0.360176\pi\) | |||||||
\(858\) | −28.6891 | − | 35.9750i | −0.979430 | − | 1.22817i | ||||
\(859\) | −34.4229 | −1.17449 | −0.587247 | − | 0.809407i | \(-0.699788\pi\) | ||||
−0.587247 | + | 0.809407i | \(0.699788\pi\) | |||||||
\(860\) | 2.46214 | + | 1.67417i | 0.0839581 | + | 0.0570888i | ||||
\(861\) | −90.0055 | −3.06738 | ||||||||
\(862\) | −21.1233 | − | 26.4878i | −0.719462 | − | 0.902177i | ||||
\(863\) | 7.40091 | + | 18.8572i | 0.251930 | + | 0.641907i | 0.999758 | − | 0.0219850i | \(-0.00699860\pi\) |
−0.747828 | + | 0.663892i | \(0.768903\pi\) | |||||||
\(864\) | 0.971289 | − | 4.25549i | 0.0330439 | − | 0.144775i | ||||
\(865\) | 0.518074 | − | 6.91322i | 0.0176151 | − | 0.235057i | ||||
\(866\) | −8.96601 | + | 15.5296i | −0.304677 | + | 0.527717i | ||||
\(867\) | −5.13741 | − | 8.89825i | −0.174476 | − | 0.302201i | ||||
\(868\) | −2.35690 | + | 1.13502i | −0.0799983 | + | 0.0385251i | ||||
\(869\) | −2.73434 | + | 2.53710i | −0.0927561 | + | 0.0860651i | ||||
\(870\) | −3.84972 | + | 2.62469i | −0.130518 | + | 0.0889854i | ||||
\(871\) | 11.0065 | + | 48.2226i | 0.372941 | + | 1.63396i | ||||
\(872\) | 19.6122 | − | 2.95606i | 0.664152 | − | 0.100105i | ||||
\(873\) | 2.67565 | + | 1.82423i | 0.0905571 | + | 0.0617408i | ||||
\(874\) | −0.899437 | + | 2.29173i | −0.0304239 | + | 0.0775189i | ||||
\(875\) | 15.3983 | − | 4.74975i | 0.520558 | − | 0.160571i | ||||
\(876\) | −1.99687 | − | 0.961644i | −0.0674681 | − | 0.0324909i | ||||
\(877\) | −3.27144 | − | 43.6544i | −0.110469 | − | 1.47410i | −0.726926 | − | 0.686716i | \(-0.759052\pi\) |
0.616457 | − | 0.787388i | \(-0.288567\pi\) | |||||||
\(878\) | 14.9080 | + | 2.24702i | 0.503120 | + | 0.0758331i | ||||
\(879\) | 55.3469 | + | 51.3544i | 1.86680 | + | 1.73214i | ||||
\(880\) | −2.41421 | − | 0.744686i | −0.0813831 | − | 0.0251034i | ||||
\(881\) | 2.02505 | − | 2.53934i | 0.0682258 | − | 0.0855524i | −0.746548 | − | 0.665332i | \(-0.768290\pi\) |
0.814773 | + | 0.579780i | \(0.196861\pi\) | |||||||
\(882\) | −8.63942 | + | 10.8335i | −0.290905 | + | 0.364783i | ||||
\(883\) | −14.6272 | − | 4.51190i | −0.492245 | − | 0.151837i | 0.0386879 | − | 0.999251i | \(-0.487682\pi\) |
−0.530933 | + | 0.847414i | \(0.678158\pi\) | |||||||
\(884\) | 14.3273 | + | 13.2938i | 0.481879 | + | 0.447119i | ||||
\(885\) | 8.38635 | + | 1.26404i | 0.281904 | + | 0.0424902i | ||||
\(886\) | −1.48395 | − | 19.8019i | −0.0498542 | − | 0.665259i | ||||
\(887\) | 9.28365 | + | 4.47077i | 0.311714 | + | 0.150114i | 0.583200 | − | 0.812329i | \(-0.301801\pi\) |
−0.271485 | + | 0.962443i | \(0.587515\pi\) | |||||||
\(888\) | 28.8267 | − | 8.89187i | 0.967362 | − | 0.298392i | ||||
\(889\) | 18.9615 | − | 48.3132i | 0.635949 | − | 1.62037i | ||||
\(890\) | −0.794150 | − | 0.541442i | −0.0266200 | − | 0.0181492i | ||||
\(891\) | −28.5241 | + | 4.29932i | −0.955593 | + | 0.144033i | ||||
\(892\) | 2.36852 | + | 10.3771i | 0.0793038 | + | 0.347453i | ||||
\(893\) | −17.4744 | + | 11.9138i | −0.584757 | + | 0.398681i | ||||
\(894\) | −14.3828 | + | 13.3453i | −0.481034 | + | 0.446334i | ||||
\(895\) | 2.78490 | − | 1.34114i | 0.0930889 | − | 0.0448293i | ||||
\(896\) | −2.30637 | − | 3.99475i | −0.0770504 | − | 0.133455i | ||||
\(897\) | −2.30070 | + | 3.98493i | −0.0768181 | + | 0.133053i | ||||
\(898\) | −0.416236 | + | 5.55428i | −0.0138900 | + | 0.185349i | ||||
\(899\) | −0.685008 | + | 3.00122i | −0.0228463 | + | 0.100096i | ||||
\(900\) | 5.31488 | + | 13.5421i | 0.177163 | + | 0.451403i | ||||
\(901\) | −13.6620 | − | 17.1316i | −0.455148 | − | 0.570738i | ||||
\(902\) | −41.9424 | −1.39653 | ||||||||
\(903\) | 45.1828 | − | 30.8876i | 1.50359 | − | 1.02787i | ||||
\(904\) | −5.16739 | −0.171865 | ||||||||
\(905\) | −1.15387 | − | 1.44691i | −0.0383561 | − | 0.0480970i | ||||
\(906\) | 4.60107 | + | 11.7233i | 0.152860 | + | 0.389482i | ||||
\(907\) | 9.91878 | − | 43.4570i | 0.329348 | − | 1.44297i | −0.491029 | − | 0.871143i | \(-0.663379\pi\) |
0.820377 | − | 0.571823i | \(-0.193764\pi\) | |||||||
\(908\) | −0.613695 | + | 8.18919i | −0.0203662 | + | 0.271768i | ||||
\(909\) | −27.7092 | + | 47.9938i | −0.919057 | + | 1.59185i | ||||
\(910\) | 4.04649 | + | 7.00873i | 0.134140 | + | 0.232337i | ||||
\(911\) | −8.21706 | + | 3.95713i | −0.272243 | + | 0.131105i | −0.565025 | − | 0.825074i | \(-0.691133\pi\) |
0.292782 | + | 0.956179i | \(0.405419\pi\) | |||||||
\(912\) | −15.2212 | + | 14.1232i | −0.504025 | + | 0.467667i | ||||
\(913\) | 10.5070 | − | 7.16354i | 0.347730 | − | 0.237079i | ||||
\(914\) | 1.84880 | + | 8.10012i | 0.0611529 | + | 0.267928i | ||||
\(915\) | 6.54552 | − | 0.986578i | 0.216388 | − | 0.0326153i | ||||
\(916\) | 11.7077 | + | 7.98214i | 0.386832 | + | 0.263737i | ||||
\(917\) | −12.9579 | + | 33.0163i | −0.427909 | + | 1.09029i | ||||
\(918\) | 4.29374 | − | 1.32444i | 0.141714 | − | 0.0437131i | ||||
\(919\) | 24.6919 | + | 11.8910i | 0.814511 | + | 0.392248i | 0.794283 | − | 0.607547i | \(-0.207847\pi\) |
0.0202279 | + | 0.999795i | \(0.493561\pi\) | |||||||
\(920\) | 0.0441440 | + | 0.589061i | 0.00145539 | + | 0.0194208i | ||||
\(921\) | 33.5527 | + | 5.05725i | 1.10560 | + | 0.166642i | ||||
\(922\) | 32.6254 | + | 30.2719i | 1.07446 | + | 0.996953i | ||||
\(923\) | −4.02880 | − | 1.24272i | −0.132609 | − | 0.0409046i | ||||
\(924\) | 17.5994 | − | 22.0689i | 0.578977 | − | 0.726014i | ||||
\(925\) | −11.6487 | + | 14.6070i | −0.383008 | + | 0.480276i | ||||
\(926\) | 5.68358 | + | 1.75315i | 0.186774 | + | 0.0576121i | ||||
\(927\) | 1.41388 | + | 1.31189i | 0.0464378 | + | 0.0430880i | ||||
\(928\) | −16.2845 | − | 2.45450i | −0.534566 | − | 0.0805729i | ||||
\(929\) | 0.604172 | + | 8.06211i | 0.0198222 | + | 0.264509i | 0.998306 | + | 0.0581847i | \(0.0185312\pi\) |
−0.978484 | + | 0.206325i | \(0.933850\pi\) | |||||||
\(930\) | 1.03415 | + | 0.498021i | 0.0339111 | + | 0.0163307i | ||||
\(931\) | −22.7759 | + | 7.02542i | −0.746448 | + | 0.230249i | ||||
\(932\) | 1.55896 | − | 3.97217i | 0.0510655 | − | 0.130113i | ||||
\(933\) | 31.6792 | + | 21.5985i | 1.03713 | + | 0.707104i | ||||
\(934\) | −7.63204 | + | 1.15035i | −0.249728 | + | 0.0376404i | ||||
\(935\) | 1.90055 | + | 8.32684i | 0.0621545 | + | 0.272317i | ||||
\(936\) | −39.6701 | + | 27.0466i | −1.29666 | + | 0.884046i | ||||
\(937\) | −27.3135 | + | 25.3432i | −0.892293 | + | 0.827927i | −0.985840 | − | 0.167688i | \(-0.946370\pi\) |
0.0935468 | + | 0.995615i | \(0.470180\pi\) | |||||||
\(938\) | 32.8482 | − | 15.8189i | 1.07253 | − | 0.516505i | ||||
\(939\) | −14.3774 | − | 24.9023i | −0.469188 | − | 0.812657i | ||||
\(940\) | −0.792518 | + | 1.37268i | −0.0258491 | + | 0.0447719i | ||||
\(941\) | 2.71314 | − | 36.2043i | 0.0884457 | − | 1.18023i | −0.759632 | − | 0.650354i | \(-0.774621\pi\) |
0.848077 | − | 0.529873i | \(-0.177760\pi\) | |||||||
\(942\) | 7.88741 | − | 34.5570i | 0.256986 | − | 1.12593i | ||||
\(943\) | 1.53234 | + | 3.90433i | 0.0498997 | + | 0.127142i | ||||
\(944\) | −5.69127 | − | 7.13663i | −0.185235 | − | 0.232277i | ||||
\(945\) | −1.54848 | −0.0503722 | ||||||||
\(946\) | 21.0551 | − | 14.3935i | 0.684561 | − | 0.467975i | ||||
\(947\) | 46.5566 | 1.51288 | 0.756442 | − | 0.654060i | \(-0.226936\pi\) | ||||
0.756442 | + | 0.654060i | \(0.226936\pi\) | |||||||
\(948\) | 1.43249 | + | 1.79629i | 0.0465253 | + | 0.0583408i | ||||
\(949\) | 1.65508 | + | 4.21707i | 0.0537261 | + | 0.136892i | ||||
\(950\) | 6.69060 | − | 29.3134i | 0.217072 | − | 0.951054i | ||||
\(951\) | −4.30431 | + | 57.4370i | −0.139577 | + | 1.86252i | ||||
\(952\) | 23.0614 | − | 39.9434i | 0.747423 | − | 1.29457i | ||||
\(953\) | −15.7468 | − | 27.2743i | −0.510089 | − | 0.883500i | −0.999932 | − | 0.0116891i | \(-0.996279\pi\) |
0.489843 | − | 0.871811i | \(-0.337054\pi\) | |||||||
\(954\) | 15.1482 | − | 7.29501i | 0.490443 | − | 0.236185i | ||||
\(955\) | 4.18245 | − | 3.88074i | 0.135341 | − | 0.125578i | ||||
\(956\) | 3.08845 | − | 2.10567i | 0.0998876 | − | 0.0681022i | ||||
\(957\) | −7.39151 | − | 32.3843i | −0.238933 | − | 1.04684i | ||||
\(958\) | 21.3936 | − | 3.22457i | 0.691197 | − | 0.104181i | ||||
\(959\) | −22.0910 | − | 15.0614i | −0.713355 | − | 0.486357i | ||||
\(960\) | −3.49503 | + | 8.90519i | −0.112802 | + | 0.287414i | ||||
\(961\) | −28.8981 | + | 8.91388i | −0.932196 | + | 0.287545i | ||||
\(962\) | −17.3524 | − | 8.35648i | −0.559464 | − | 0.269424i | ||||
\(963\) | −4.07428 | − | 54.3674i | −0.131292 | − | 1.75197i | ||||
\(964\) | 2.93238 | + | 0.441985i | 0.0944456 | + | 0.0142354i | ||||
\(965\) | −3.09585 | − | 2.87253i | −0.0996590 | − | 0.0924701i | ||||
\(966\) | 3.24099 | + | 0.999713i | 0.104277 | + | 0.0321653i | ||||
\(967\) | −0.735828 | + | 0.922699i | −0.0236626 | + | 0.0296720i | −0.793522 | − | 0.608542i | \(-0.791755\pi\) |
0.769859 | + | 0.638214i | \(0.220326\pi\) | |||||||
\(968\) | 5.41646 | − | 6.79203i | 0.174092 | − | 0.218304i | ||||
\(969\) | 67.0771 | + | 20.6905i | 2.15483 | + | 0.664676i | ||||
\(970\) | −0.367706 | − | 0.341182i | −0.0118063 | − | 0.0109547i | ||||
\(971\) | 39.4527 | + | 5.94653i | 1.26610 | + | 0.190833i | 0.747544 | − | 0.664213i | \(-0.231233\pi\) |
0.518552 | + | 0.855046i | \(0.326471\pi\) | |||||||
\(972\) | 1.51862 | + | 20.2646i | 0.0487097 | + | 0.649986i | ||||
\(973\) | −38.3292 | − | 18.4584i | −1.22878 | − | 0.591749i | ||||
\(974\) | −35.5422 | + | 10.9633i | −1.13884 | + | 0.351287i | ||||
\(975\) | 20.5310 | − | 52.3122i | 0.657518 | − | 1.67533i | ||||
\(976\) | −5.88649 | − | 4.01334i | −0.188422 | − | 0.128464i | ||||
\(977\) | 31.2557 | − | 4.71104i | 0.999959 | − | 0.150720i | 0.371393 | − | 0.928476i | \(-0.378880\pi\) |
0.628566 | + | 0.777756i | \(0.283642\pi\) | |||||||
\(978\) | 10.9907 | + | 48.1533i | 0.351443 | + | 1.53977i | ||||
\(979\) | 5.66163 | − | 3.86003i | 0.180946 | − | 0.123367i | ||||
\(980\) | −1.30945 | + | 1.21499i | −0.0418288 | + | 0.0388115i | ||||
\(981\) | 19.8250 | − | 9.54722i | 0.632964 | − | 0.304819i | ||||
\(982\) | 0.347874 | + | 0.602535i | 0.0111011 | + | 0.0192277i | ||||
\(983\) | 12.1582 | − | 21.0586i | 0.387787 | − | 0.671666i | −0.604365 | − | 0.796708i | \(-0.706573\pi\) |
0.992152 | + | 0.125042i | \(0.0399064\pi\) | |||||||
\(984\) | −6.18095 | + | 82.4791i | −0.197042 | + | 2.62934i | ||||
\(985\) | −2.40952 | + | 10.5568i | −0.0767738 | + | 0.336368i | ||||
\(986\) | −6.19364 | − | 15.7811i | −0.197246 | − | 0.502574i | ||||
\(987\) | 18.1663 | + | 22.7798i | 0.578240 | + | 0.725090i | ||||
\(988\) | −25.7960 | −0.820679 | ||||||||
\(989\) | −2.10910 | − | 1.43412i | −0.0670655 | − | 0.0456023i | ||||
\(990\) | −6.55351 | −0.208284 | ||||||||
\(991\) | −2.01386 | − | 2.52530i | −0.0639724 | − | 0.0802189i | 0.748816 | − | 0.662778i | \(-0.230623\pi\) |
−0.812788 | + | 0.582559i | \(0.802051\pi\) | |||||||
\(992\) | 1.48219 | + | 3.77655i | 0.0470595 | + | 0.119906i | ||||
\(993\) | −8.73439 | + | 38.2679i | −0.277178 | + | 1.21439i | ||||
\(994\) | −0.232237 | + | 3.09899i | −0.00736611 | + | 0.0982939i | ||||
\(995\) | −2.46868 | + | 4.27587i | −0.0782623 | + | 0.135554i | ||||
\(996\) | −3.91641 | − | 6.78343i | −0.124096 | − | 0.214941i | ||||
\(997\) | 13.2681 | − | 6.38960i | 0.420206 | − | 0.202361i | −0.211818 | − | 0.977309i | \(-0.567939\pi\) |
0.632024 | + | 0.774948i | \(0.282224\pi\) | |||||||
\(998\) | −5.51102 | + | 5.11348i | −0.174448 | + | 0.161864i | ||||
\(999\) | 3.04477 | − | 2.07589i | 0.0963322 | − | 0.0656782i |
(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 | 43.2.g.a.23.2 | yes | 36 | |
3.2 | odd | 2 | 387.2.y.c.109.2 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.625.1 | 36 | |||
43.12 | odd | 42 | 1849.2.a.o.1.11 | 18 | |||
43.15 | even | 21 | inner | 43.2.g.a.15.2 | ✓ | 36 | |
43.31 | even | 21 | 1849.2.a.n.1.8 | 18 | |||
129.101 | odd | 42 | 387.2.y.c.316.2 | 36 | |||
172.15 | odd | 42 | 688.2.bg.c.273.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.15.2 | ✓ | 36 | 43.15 | even | 21 | inner | |
43.2.g.a.23.2 | yes | 36 | 1.1 | even | 1 | trivial | |
387.2.y.c.109.2 | 36 | 3.2 | odd | 2 | |||
387.2.y.c.316.2 | 36 | 129.101 | odd | 42 | |||
688.2.bg.c.273.1 | 36 | 172.15 | odd | 42 | |||
688.2.bg.c.625.1 | 36 | 4.3 | odd | 2 | |||
1849.2.a.n.1.8 | 18 | 43.31 | even | 21 | |||
1849.2.a.o.1.11 | 18 | 43.12 | odd | 42 |