Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 99.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.99 |
Dual form | 361.2.e.h.62.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.826352 | + | 0.300767i | 0.584319 | + | 0.212675i | 0.617229 | − | 0.786784i | \(-0.288255\pi\) |
−0.0329100 | + | 0.999458i | \(0.510477\pi\) | |||||||
\(3\) | −0.0923963 | − | 0.524005i | −0.0533450 | − | 0.302535i | 0.946449 | − | 0.322855i | \(-0.104643\pi\) |
−0.999794 | + | 0.0203202i | \(0.993531\pi\) | |||||||
\(4\) | −0.939693 | − | 0.788496i | −0.469846 | − | 0.394248i | ||||
\(5\) | −1.93969 | + | 1.62760i | −0.867457 | + | 0.727883i | −0.963561 | − | 0.267489i | \(-0.913806\pi\) |
0.0961041 | + | 0.995371i | \(0.469362\pi\) | |||||||
\(6\) | 0.0812519 | − | 0.460802i | 0.0331710 | − | 0.188122i | ||||
\(7\) | 0.939693 | − | 1.62760i | 0.355170 | − | 0.615173i | −0.631977 | − | 0.774987i | \(-0.717756\pi\) |
0.987147 | + | 0.159814i | \(0.0510895\pi\) | |||||||
\(8\) | −1.41875 | − | 2.45734i | −0.501603 | − | 0.868802i | ||||
\(9\) | 2.55303 | − | 0.929228i | 0.851011 | − | 0.309743i | ||||
\(10\) | −2.09240 | + | 0.761570i | −0.661674 | + | 0.240830i | ||||
\(11\) | −1.70574 | − | 2.95442i | −0.514299 | − | 0.890792i | −0.999862 | − | 0.0165906i | \(-0.994719\pi\) |
0.485563 | − | 0.874202i | \(-0.338615\pi\) | |||||||
\(12\) | −0.326352 | + | 0.565258i | −0.0942097 | + | 0.163176i | ||||
\(13\) | 0.918748 | − | 5.21048i | 0.254815 | − | 1.44513i | −0.541733 | − | 0.840551i | \(-0.682231\pi\) |
0.796547 | − | 0.604576i | \(-0.206657\pi\) | |||||||
\(14\) | 1.26604 | − | 1.06234i | 0.338365 | − | 0.283922i | ||||
\(15\) | 1.03209 | + | 0.866025i | 0.266484 | + | 0.223607i | ||||
\(16\) | −0.00727396 | − | 0.0412527i | −0.00181849 | − | 0.0103132i | ||||
\(17\) | −1.55303 | − | 0.565258i | −0.376666 | − | 0.137095i | 0.146748 | − | 0.989174i | \(-0.453119\pi\) |
−0.523414 | + | 0.852079i | \(0.675342\pi\) | |||||||
\(18\) | 2.38919 | 0.563136 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 3.10607 | 0.694538 | ||||||||
\(21\) | −0.939693 | − | 0.342020i | −0.205058 | − | 0.0746349i | ||||
\(22\) | −0.520945 | − | 2.95442i | −0.111066 | − | 0.629885i | ||||
\(23\) | 1.34730 | + | 1.13052i | 0.280931 | + | 0.235729i | 0.772354 | − | 0.635192i | \(-0.219079\pi\) |
−0.491424 | + | 0.870921i | \(0.663523\pi\) | |||||||
\(24\) | −1.15657 | + | 0.970481i | −0.236085 | + | 0.198099i | ||||
\(25\) | 0.245100 | − | 1.39003i | 0.0490200 | − | 0.278006i | ||||
\(26\) | 2.32635 | − | 4.02936i | 0.456235 | − | 0.790222i | ||||
\(27\) | −1.52094 | − | 2.63435i | −0.292706 | − | 0.506982i | ||||
\(28\) | −2.16637 | + | 0.788496i | −0.409406 | + | 0.149012i | ||||
\(29\) | −3.25877 | + | 1.18610i | −0.605138 | + | 0.220252i | −0.626375 | − | 0.779522i | \(-0.715462\pi\) |
0.0212363 | + | 0.999774i | \(0.493240\pi\) | |||||||
\(30\) | 0.592396 | + | 1.02606i | 0.108156 | + | 0.187332i | ||||
\(31\) | 0.971782 | − | 1.68317i | 0.174537 | − | 0.302307i | −0.765464 | − | 0.643479i | \(-0.777490\pi\) |
0.940001 | + | 0.341172i | \(0.110824\pi\) | |||||||
\(32\) | −0.979055 | + | 5.55250i | −0.173074 | + | 0.981553i | ||||
\(33\) | −1.39053 | + | 1.16679i | −0.242060 | + | 0.203113i | ||||
\(34\) | −1.11334 | − | 0.934204i | −0.190936 | − | 0.160215i | ||||
\(35\) | 0.826352 | + | 4.68647i | 0.139679 | + | 0.792159i | ||||
\(36\) | −3.13176 | − | 1.13987i | −0.521960 | − | 0.189978i | ||||
\(37\) | 0.837496 | 0.137684 | 0.0688418 | − | 0.997628i | \(-0.478070\pi\) | ||||
0.0688418 | + | 0.997628i | \(0.478070\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.81521 | −0.450794 | ||||||||
\(40\) | 6.75150 | + | 2.45734i | 1.06751 | + | 0.388540i | ||||
\(41\) | 0.779715 | + | 4.42198i | 0.121771 | + | 0.690598i | 0.983173 | + | 0.182675i | \(0.0584755\pi\) |
−0.861402 | + | 0.507923i | \(0.830413\pi\) | |||||||
\(42\) | −0.673648 | − | 0.565258i | −0.103946 | − | 0.0872212i | ||||
\(43\) | 3.67752 | − | 3.08580i | 0.560816 | − | 0.470581i | −0.317768 | − | 0.948169i | \(-0.602933\pi\) |
0.878584 | + | 0.477588i | \(0.158489\pi\) | |||||||
\(44\) | −0.726682 | + | 4.12122i | −0.109551 | + | 0.621297i | ||||
\(45\) | −3.43969 | + | 5.95772i | −0.512759 | + | 0.888125i | ||||
\(46\) | 0.773318 | + | 1.33943i | 0.114020 | + | 0.197488i | ||||
\(47\) | −0.673648 | + | 0.245188i | −0.0982617 | + | 0.0357643i | −0.390683 | − | 0.920525i | \(-0.627761\pi\) |
0.292422 | + | 0.956290i | \(0.405539\pi\) | |||||||
\(48\) | −0.0209445 | + | 0.00762319i | −0.00302308 | + | 0.00110031i | ||||
\(49\) | 1.73396 | + | 3.00330i | 0.247708 | + | 0.429043i | ||||
\(50\) | 0.620615 | − | 1.07494i | 0.0877682 | − | 0.152019i | ||||
\(51\) | −0.152704 | + | 0.866025i | −0.0213828 | + | 0.121268i | ||||
\(52\) | −4.97178 | + | 4.17182i | −0.689462 | + | 0.578527i | ||||
\(53\) | 4.67752 | + | 3.92490i | 0.642507 | + | 0.539127i | 0.904787 | − | 0.425865i | \(-0.140030\pi\) |
−0.262280 | + | 0.964992i | \(0.584474\pi\) | |||||||
\(54\) | −0.464508 | − | 2.63435i | −0.0632115 | − | 0.358490i | ||||
\(55\) | 8.11721 | + | 2.95442i | 1.09452 | + | 0.398374i | ||||
\(56\) | −5.33275 | −0.712618 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.04963 | −0.400436 | ||||||||
\(59\) | −10.1099 | − | 3.67972i | −1.31620 | − | 0.479058i | −0.413962 | − | 0.910294i | \(-0.635856\pi\) |
−0.902239 | + | 0.431236i | \(0.858078\pi\) | |||||||
\(60\) | −0.286989 | − | 1.62760i | −0.0370501 | − | 0.210122i | ||||
\(61\) | 3.36231 | + | 2.82131i | 0.430500 | + | 0.361232i | 0.832140 | − | 0.554565i | \(-0.187115\pi\) |
−0.401640 | + | 0.915797i | \(0.631560\pi\) | |||||||
\(62\) | 1.30928 | − | 1.09861i | 0.166278 | − | 0.139524i | ||||
\(63\) | 0.886659 | − | 5.02849i | 0.111709 | − | 0.633531i | ||||
\(64\) | −2.52094 | + | 4.36640i | −0.315118 | + | 0.545801i | ||||
\(65\) | 6.69846 | + | 11.6021i | 0.830842 | + | 1.43906i | ||||
\(66\) | −1.50000 | + | 0.545955i | −0.184637 | + | 0.0672025i | ||||
\(67\) | 13.3550 | − | 4.86084i | 1.63158 | − | 0.593846i | 0.646040 | − | 0.763304i | \(-0.276424\pi\) |
0.985537 | + | 0.169458i | \(0.0542017\pi\) | |||||||
\(68\) | 1.01367 | + | 1.75573i | 0.122926 | + | 0.212913i | ||||
\(69\) | 0.467911 | − | 0.810446i | 0.0563299 | − | 0.0975662i | ||||
\(70\) | −0.726682 | + | 4.12122i | −0.0868551 | + | 0.492580i | ||||
\(71\) | 10.5398 | − | 8.84397i | 1.25085 | − | 1.04959i | 0.254252 | − | 0.967138i | \(-0.418171\pi\) |
0.996595 | − | 0.0824479i | \(-0.0262738\pi\) | |||||||
\(72\) | −5.90554 | − | 4.95534i | −0.695975 | − | 0.583992i | ||||
\(73\) | −1.30541 | − | 7.40333i | −0.152786 | − | 0.866495i | −0.960782 | − | 0.277306i | \(-0.910559\pi\) |
0.807995 | − | 0.589189i | \(-0.200553\pi\) | |||||||
\(74\) | 0.692066 | + | 0.251892i | 0.0804511 | + | 0.0292818i | ||||
\(75\) | −0.751030 | −0.0867214 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.41147 | −0.730655 | ||||||||
\(78\) | −2.32635 | − | 0.846723i | −0.263407 | − | 0.0958725i | ||||
\(79\) | 1.20914 | + | 6.85738i | 0.136039 | + | 0.771515i | 0.974131 | + | 0.225986i | \(0.0725603\pi\) |
−0.838092 | + | 0.545529i | \(0.816329\pi\) | |||||||
\(80\) | 0.0812519 | + | 0.0681784i | 0.00908424 | + | 0.00762258i | ||||
\(81\) | 5.00387 | − | 4.19875i | 0.555986 | − | 0.466527i | ||||
\(82\) | −0.685670 | + | 3.88863i | −0.0757196 | + | 0.429427i | ||||
\(83\) | −1.25624 | + | 2.17588i | −0.137891 | + | 0.238834i | −0.926698 | − | 0.375807i | \(-0.877366\pi\) |
0.788807 | + | 0.614641i | \(0.210699\pi\) | |||||||
\(84\) | 0.613341 | + | 1.06234i | 0.0669210 | + | 0.115911i | ||||
\(85\) | 3.93242 | − | 1.43128i | 0.426531 | − | 0.155244i | ||||
\(86\) | 3.96703 | − | 1.44388i | 0.427776 | − | 0.155698i | ||||
\(87\) | 0.922618 | + | 1.59802i | 0.0989151 | + | 0.171326i | ||||
\(88\) | −4.84002 | + | 8.38316i | −0.515948 | + | 0.893648i | ||||
\(89\) | 0.396459 | − | 2.24843i | 0.0420246 | − | 0.238333i | −0.956559 | − | 0.291539i | \(-0.905833\pi\) |
0.998584 | + | 0.0532055i | \(0.0169438\pi\) | |||||||
\(90\) | −4.63429 | + | 3.88863i | −0.488497 | + | 0.409897i | ||||
\(91\) | −7.61721 | − | 6.39160i | −0.798501 | − | 0.670022i | ||||
\(92\) | −0.374638 | − | 2.12467i | −0.0390587 | − | 0.221513i | ||||
\(93\) | −0.971782 | − | 0.353700i | −0.100769 | − | 0.0366769i | ||||
\(94\) | −0.630415 | −0.0650223 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −1.71301 | − | 0.623485i | −0.173930 | − | 0.0633053i | 0.253587 | − | 0.967312i | \(-0.418389\pi\) |
−0.427517 | + | 0.904007i | \(0.640612\pi\) | |||||||
\(98\) | 0.529563 | + | 3.00330i | 0.0534939 | + | 0.303379i | ||||
\(99\) | −7.10014 | − | 5.95772i | −0.713591 | − | 0.598774i | ||||
\(100\) | −1.32635 | + | 1.11294i | −0.132635 | + | 0.111294i | ||||
\(101\) | −1.37551 | + | 7.80093i | −0.136869 | + | 0.776222i | 0.836671 | + | 0.547705i | \(0.184499\pi\) |
−0.973540 | + | 0.228516i | \(0.926613\pi\) | |||||||
\(102\) | −0.386659 | + | 0.669713i | −0.0382850 | + | 0.0663115i | ||||
\(103\) | −0.00727396 | − | 0.0125989i | −0.000716725 | − | 0.00124140i | 0.865667 | − | 0.500621i | \(-0.166895\pi\) |
−0.866384 | + | 0.499379i | \(0.833561\pi\) | |||||||
\(104\) | −14.1074 | + | 5.13468i | −1.38335 | + | 0.503497i | ||||
\(105\) | 2.37939 | − | 0.866025i | 0.232204 | − | 0.0845154i | ||||
\(106\) | 2.68479 | + | 4.65020i | 0.260770 | + | 0.451667i | ||||
\(107\) | −1.77719 | + | 3.07818i | −0.171807 | + | 0.297579i | −0.939052 | − | 0.343776i | \(-0.888294\pi\) |
0.767244 | + | 0.641355i | \(0.221627\pi\) | |||||||
\(108\) | −0.647956 | + | 3.67474i | −0.0623496 | + | 0.353602i | ||||
\(109\) | −5.64543 | + | 4.73708i | −0.540734 | + | 0.453730i | −0.871789 | − | 0.489882i | \(-0.837040\pi\) |
0.331055 | + | 0.943612i | \(0.392596\pi\) | |||||||
\(110\) | 5.81908 | + | 4.88279i | 0.554827 | + | 0.465555i | ||||
\(111\) | −0.0773815 | − | 0.438852i | −0.00734473 | − | 0.0416540i | ||||
\(112\) | −0.0739780 | − | 0.0269258i | −0.00699026 | − | 0.00254425i | ||||
\(113\) | −7.37733 | −0.694000 | −0.347000 | − | 0.937865i | \(-0.612800\pi\) | ||||
−0.347000 | + | 0.937865i | \(0.612800\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.45336 | −0.415278 | ||||||||
\(116\) | 3.99747 | + | 1.45496i | 0.371156 | + | 0.135090i | ||||
\(117\) | −2.49613 | − | 14.1563i | −0.230767 | − | 1.30875i | ||||
\(118\) | −7.24763 | − | 6.08148i | −0.667198 | − | 0.559846i | ||||
\(119\) | −2.37939 | + | 1.99654i | −0.218118 | + | 0.183023i | ||||
\(120\) | 0.663848 | − | 3.76487i | 0.0606008 | − | 0.343684i | ||||
\(121\) | −0.319078 | + | 0.552659i | −0.0290071 | + | 0.0502417i | ||||
\(122\) | 1.92989 | + | 3.34267i | 0.174724 | + | 0.302631i | ||||
\(123\) | 2.24510 | − | 0.817150i | 0.202434 | − | 0.0736799i | ||||
\(124\) | −2.24035 | + | 0.815422i | −0.201190 | + | 0.0732270i | ||||
\(125\) | −4.54323 | − | 7.86911i | −0.406359 | − | 0.703835i | ||||
\(126\) | 2.24510 | − | 3.88863i | 0.200009 | − | 0.346426i | ||||
\(127\) | 0.0175410 | − | 0.0994798i | 0.00155651 | − | 0.00882740i | −0.984020 | − | 0.178060i | \(-0.943018\pi\) |
0.985576 | + | 0.169233i | \(0.0541290\pi\) | |||||||
\(128\) | 5.24170 | − | 4.39831i | 0.463305 | − | 0.388759i | ||||
\(129\) | −1.95677 | − | 1.64192i | −0.172284 | − | 0.144563i | ||||
\(130\) | 2.04576 | + | 11.6021i | 0.179425 | + | 1.01757i | ||||
\(131\) | 2.85369 | + | 1.03866i | 0.249328 | + | 0.0907481i | 0.463661 | − | 0.886013i | \(-0.346536\pi\) |
−0.214333 | + | 0.976761i | \(0.568758\pi\) | |||||||
\(132\) | 2.22668 | 0.193808 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.4979 | 1.07966 | ||||||||
\(135\) | 7.23783 | + | 2.63435i | 0.622933 | + | 0.226729i | ||||
\(136\) | 0.814330 | + | 4.61830i | 0.0698282 | + | 0.396016i | ||||
\(137\) | 14.9684 | + | 12.5600i | 1.27883 | + | 1.07307i | 0.993404 | + | 0.114671i | \(0.0365813\pi\) |
0.285431 | + | 0.958399i | \(0.407863\pi\) | |||||||
\(138\) | 0.630415 | − | 0.528981i | 0.0536645 | − | 0.0450298i | ||||
\(139\) | 2.67365 | − | 15.1630i | 0.226776 | − | 1.28611i | −0.632485 | − | 0.774573i | \(-0.717965\pi\) |
0.859261 | − | 0.511537i | \(-0.170924\pi\) | |||||||
\(140\) | 2.91875 | − | 5.05542i | 0.246679 | − | 0.427261i | ||||
\(141\) | 0.190722 | + | 0.330341i | 0.0160617 | + | 0.0278197i | ||||
\(142\) | 11.3696 | − | 4.13819i | 0.954114 | − | 0.347269i | ||||
\(143\) | −16.9611 | + | 6.17334i | −1.41836 | + | 0.516240i | ||||
\(144\) | −0.0569038 | − | 0.0985603i | −0.00474198 | − | 0.00821336i | ||||
\(145\) | 4.39053 | − | 7.60462i | 0.364614 | − | 0.631529i | ||||
\(146\) | 1.14796 | − | 6.51038i | 0.0950055 | − | 0.538803i | ||||
\(147\) | 1.41353 | − | 1.18610i | 0.116586 | − | 0.0978275i | ||||
\(148\) | −0.786989 | − | 0.660362i | −0.0646901 | − | 0.0542814i | ||||
\(149\) | −0.654048 | − | 3.70929i | −0.0535817 | − | 0.303877i | 0.946226 | − | 0.323507i | \(-0.104862\pi\) |
−0.999807 | + | 0.0196306i | \(0.993751\pi\) | |||||||
\(150\) | −0.620615 | − | 0.225885i | −0.0506730 | − | 0.0184435i | ||||
\(151\) | 14.5963 | 1.18783 | 0.593914 | − | 0.804529i | \(-0.297582\pi\) | ||||
0.593914 | + | 0.804529i | \(0.297582\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.49020 | −0.363011 | ||||||||
\(154\) | −5.29813 | − | 1.92836i | −0.426936 | − | 0.155392i | ||||
\(155\) | 0.854570 | + | 4.84651i | 0.0686407 | + | 0.389281i | ||||
\(156\) | 2.64543 | + | 2.21978i | 0.211804 | + | 0.177725i | ||||
\(157\) | −7.94743 | + | 6.66869i | −0.634274 | + | 0.532219i | −0.902254 | − | 0.431205i | \(-0.858088\pi\) |
0.267980 | + | 0.963425i | \(0.413644\pi\) | |||||||
\(158\) | −1.06330 | + | 6.03028i | −0.0845916 | + | 0.479743i | ||||
\(159\) | 1.62449 | − | 2.81369i | 0.128830 | − | 0.223140i | ||||
\(160\) | −7.13816 | − | 12.3636i | −0.564321 | − | 0.977432i | ||||
\(161\) | 3.10607 | − | 1.13052i | 0.244792 | − | 0.0890971i | ||||
\(162\) | 5.39780 | − | 1.96464i | 0.424091 | − | 0.154357i | ||||
\(163\) | 1.01114 | + | 1.75135i | 0.0791989 | + | 0.137177i | 0.902905 | − | 0.429841i | \(-0.141430\pi\) |
−0.823706 | + | 0.567018i | \(0.808097\pi\) | |||||||
\(164\) | 2.75402 | − | 4.77011i | 0.215053 | − | 0.372483i | ||||
\(165\) | 0.798133 | − | 4.52644i | 0.0621346 | − | 0.352383i | ||||
\(166\) | −1.69253 | + | 1.42020i | −0.131366 | + | 0.110229i | ||||
\(167\) | 17.8157 | + | 14.9491i | 1.37862 | + | 1.15680i | 0.969720 | + | 0.244218i | \(0.0785312\pi\) |
0.408898 | + | 0.912580i | \(0.365913\pi\) | |||||||
\(168\) | 0.492726 | + | 2.79439i | 0.0380146 | + | 0.215592i | ||||
\(169\) | −14.0890 | − | 5.12797i | −1.08377 | − | 0.394460i | ||||
\(170\) | 3.68004 | 0.282247 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.88888 | −0.449023 | ||||||||
\(173\) | 0.842549 | + | 0.306663i | 0.0640578 | + | 0.0233151i | 0.373850 | − | 0.927489i | \(-0.378037\pi\) |
−0.309793 | + | 0.950804i | \(0.600260\pi\) | |||||||
\(174\) | 0.281774 | + | 1.59802i | 0.0213613 | + | 0.121146i | ||||
\(175\) | −2.03209 | − | 1.70513i | −0.153611 | − | 0.128895i | ||||
\(176\) | −0.109470 | + | 0.0918566i | −0.00825164 | + | 0.00692395i | ||||
\(177\) | −0.994070 | + | 5.63765i | −0.0747189 | + | 0.423752i | ||||
\(178\) | 1.00387 | − | 1.73875i | 0.0752433 | − | 0.130325i | ||||
\(179\) | −10.6591 | − | 18.4621i | −0.796699 | − | 1.37992i | −0.921755 | − | 0.387773i | \(-0.873245\pi\) |
0.125056 | − | 0.992150i | \(-0.460089\pi\) | |||||||
\(180\) | 7.92989 | − | 2.88624i | 0.591059 | − | 0.215128i | ||||
\(181\) | −15.1284 | + | 5.50627i | −1.12448 | + | 0.409278i | −0.836286 | − | 0.548294i | \(-0.815278\pi\) |
−0.288196 | + | 0.957571i | \(0.593055\pi\) | |||||||
\(182\) | −4.37211 | − | 7.57272i | −0.324082 | − | 0.561327i | ||||
\(183\) | 1.16772 | − | 2.02255i | 0.0863202 | − | 0.149511i | ||||
\(184\) | 0.866592 | − | 4.91469i | 0.0638860 | − | 0.362316i | ||||
\(185\) | −1.62449 | + | 1.36310i | −0.119435 | + | 0.100217i | ||||
\(186\) | −0.696652 | − | 0.584561i | −0.0510810 | − | 0.0428621i | ||||
\(187\) | 0.979055 | + | 5.55250i | 0.0715956 | + | 0.406039i | ||||
\(188\) | 0.826352 | + | 0.300767i | 0.0602679 | + | 0.0219357i | ||||
\(189\) | −5.71688 | −0.415842 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.9486 | 1.37107 | 0.685537 | − | 0.728038i | \(-0.259568\pi\) | ||||
0.685537 | + | 0.728038i | \(0.259568\pi\) | |||||||
\(192\) | 2.52094 | + | 0.917549i | 0.181934 | + | 0.0662184i | ||||
\(193\) | −2.24035 | − | 12.7057i | −0.161264 | − | 0.914574i | −0.952833 | − | 0.303494i | \(-0.901847\pi\) |
0.791569 | − | 0.611080i | \(-0.209264\pi\) | |||||||
\(194\) | −1.22803 | − | 1.03044i | −0.0881671 | − | 0.0739810i | ||||
\(195\) | 5.46064 | − | 4.58202i | 0.391044 | − | 0.328125i | ||||
\(196\) | 0.738703 | − | 4.18939i | 0.0527645 | − | 0.299242i | ||||
\(197\) | 11.6001 | − | 20.0920i | 0.826476 | − | 1.43150i | −0.0743108 | − | 0.997235i | \(-0.523676\pi\) |
0.900786 | − | 0.434263i | \(-0.142991\pi\) | |||||||
\(198\) | −4.07532 | − | 7.05866i | −0.289621 | − | 0.501637i | ||||
\(199\) | −8.66550 | + | 3.15398i | −0.614281 | + | 0.223580i | −0.630375 | − | 0.776291i | \(-0.717099\pi\) |
0.0160945 | + | 0.999870i | \(0.494877\pi\) | |||||||
\(200\) | −3.76352 | + | 1.36981i | −0.266121 | + | 0.0968601i | ||||
\(201\) | −3.78106 | − | 6.54899i | −0.266695 | − | 0.461930i | ||||
\(202\) | −3.48293 | + | 6.03260i | −0.245058 | + | 0.424453i | ||||
\(203\) | −1.13176 | + | 6.41852i | −0.0794339 | + | 0.450492i | ||||
\(204\) | 0.826352 | − | 0.693392i | 0.0578562 | − | 0.0485471i | ||||
\(205\) | −8.70961 | − | 7.30823i | −0.608305 | − | 0.510429i | ||||
\(206\) | −0.00222152 | − | 0.0125989i | −0.000154781 | − | 0.000877805i | ||||
\(207\) | 4.49020 | + | 1.63430i | 0.312090 | + | 0.113592i | ||||
\(208\) | −0.221629 | −0.0153672 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.22668 | 0.153656 | ||||||||
\(211\) | 13.7417 | + | 5.00157i | 0.946017 | + | 0.344322i | 0.768539 | − | 0.639803i | \(-0.220984\pi\) |
0.177478 | + | 0.984125i | \(0.443206\pi\) | |||||||
\(212\) | −1.30066 | − | 7.37641i | −0.0893297 | − | 0.506614i | ||||
\(213\) | −5.60813 | − | 4.70578i | −0.384262 | − | 0.322435i | ||||
\(214\) | −2.39440 | + | 2.00914i | −0.163678 | + | 0.137342i | ||||
\(215\) | −2.11081 | + | 11.9710i | −0.143956 | + | 0.816417i | ||||
\(216\) | −4.31567 | + | 7.47497i | −0.293644 | + | 0.508607i | ||||
\(217\) | −1.82635 | − | 3.16333i | −0.123981 | − | 0.214741i | ||||
\(218\) | −6.08987 | + | 2.21653i | −0.412458 | + | 0.150122i | ||||
\(219\) | −3.75877 | + | 1.36808i | −0.253994 | + | 0.0924463i | ||||
\(220\) | −5.29813 | − | 9.17664i | −0.357200 | − | 0.618689i | ||||
\(221\) | −4.37211 | + | 7.57272i | −0.294100 | + | 0.509396i | ||||
\(222\) | 0.0680482 | − | 0.385920i | 0.00456709 | − | 0.0259013i | ||||
\(223\) | 2.30928 | − | 1.93771i | 0.154641 | − | 0.129759i | −0.562185 | − | 0.827012i | \(-0.690039\pi\) |
0.716825 | + | 0.697253i | \(0.245595\pi\) | |||||||
\(224\) | 8.11721 | + | 6.81115i | 0.542354 | + | 0.455089i | ||||
\(225\) | −0.665907 | − | 3.77655i | −0.0443938 | − | 0.251770i | ||||
\(226\) | −6.09627 | − | 2.21886i | −0.405518 | − | 0.147596i | ||||
\(227\) | 13.7219 | 0.910757 | 0.455378 | − | 0.890298i | \(-0.349504\pi\) | ||||
0.455378 | + | 0.890298i | \(0.349504\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.41416 | 0.622105 | 0.311053 | − | 0.950393i | \(-0.399318\pi\) | ||||
0.311053 | + | 0.950393i | \(0.399318\pi\) | |||||||
\(230\) | −3.68004 | − | 1.33943i | −0.242655 | − | 0.0883192i | ||||
\(231\) | 0.592396 | + | 3.35965i | 0.0389768 | + | 0.221048i | ||||
\(232\) | 7.53802 | + | 6.32515i | 0.494895 | + | 0.415266i | ||||
\(233\) | −18.5273 | + | 15.5463i | −1.21377 | + | 1.01847i | −0.214640 | + | 0.976693i | \(0.568858\pi\) |
−0.999127 | + | 0.0417777i | \(0.986698\pi\) | |||||||
\(234\) | 2.19506 | − | 12.4488i | 0.143496 | − | 0.813804i | ||||
\(235\) | 0.907604 | − | 1.57202i | 0.0592055 | − | 0.102547i | ||||
\(236\) | 6.59879 | + | 11.4294i | 0.429545 | + | 0.743993i | ||||
\(237\) | 3.48158 | − | 1.26719i | 0.226153 | − | 0.0823130i | ||||
\(238\) | −2.56670 | + | 0.934204i | −0.166375 | + | 0.0605554i | ||||
\(239\) | 11.6630 | + | 20.2009i | 0.754415 | + | 1.30668i | 0.945665 | + | 0.325143i | \(0.105413\pi\) |
−0.191250 | + | 0.981541i | \(0.561254\pi\) | |||||||
\(240\) | 0.0282185 | − | 0.0488759i | 0.00182150 | − | 0.00315492i | ||||
\(241\) | −0.0516892 | + | 0.293144i | −0.00332960 | + | 0.0188831i | −0.986427 | − | 0.164199i | \(-0.947496\pi\) |
0.983098 | + | 0.183082i | \(0.0586073\pi\) | |||||||
\(242\) | −0.429892 | + | 0.360723i | −0.0276345 | + | 0.0231881i | ||||
\(243\) | −9.65317 | − | 8.09997i | −0.619251 | − | 0.519613i | ||||
\(244\) | −0.934945 | − | 5.30234i | −0.0598537 | − | 0.339447i | ||||
\(245\) | −8.25150 | − | 3.00330i | −0.527169 | − | 0.191874i | ||||
\(246\) | 2.10101 | 0.133956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −5.51485 | −0.350193 | ||||||||
\(249\) | 1.25624 | + | 0.457236i | 0.0796112 | + | 0.0289761i | ||||
\(250\) | −1.38754 | − | 7.86911i | −0.0877555 | − | 0.497686i | ||||
\(251\) | −12.4081 | − | 10.4116i | −0.783190 | − | 0.657175i | 0.160859 | − | 0.986977i | \(-0.448573\pi\) |
−0.944050 | + | 0.329802i | \(0.893018\pi\) | |||||||
\(252\) | −4.79813 | + | 4.02611i | −0.302254 | + | 0.253621i | ||||
\(253\) | 1.04189 | − | 5.90885i | 0.0655030 | − | 0.371486i | ||||
\(254\) | 0.0444153 | − | 0.0769295i | 0.00278686 | − | 0.00482699i | ||||
\(255\) | −1.11334 | − | 1.92836i | −0.0697201 | − | 0.120759i | ||||
\(256\) | 15.1300 | − | 5.50687i | 0.945625 | − | 0.344179i | ||||
\(257\) | 14.4290 | − | 5.25173i | 0.900057 | − | 0.327594i | 0.149782 | − | 0.988719i | \(-0.452143\pi\) |
0.750276 | + | 0.661125i | \(0.229921\pi\) | |||||||
\(258\) | −1.12314 | − | 1.94534i | −0.0699237 | − | 0.121111i | ||||
\(259\) | 0.786989 | − | 1.36310i | 0.0489011 | − | 0.0846992i | ||||
\(260\) | 2.85369 | − | 16.1841i | 0.176979 | − | 1.00370i | ||||
\(261\) | −7.21760 | + | 6.05628i | −0.446758 | + | 0.374874i | ||||
\(262\) | 2.04576 | + | 1.71660i | 0.126387 | + | 0.106052i | ||||
\(263\) | 1.67453 | + | 9.49671i | 0.103256 | + | 0.585592i | 0.991903 | + | 0.127000i | \(0.0405349\pi\) |
−0.888647 | + | 0.458592i | \(0.848354\pi\) | |||||||
\(264\) | 4.84002 | + | 1.76162i | 0.297883 | + | 0.108420i | ||||
\(265\) | −15.4611 | −0.949768 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.21482 | −0.0743459 | ||||||||
\(268\) | −16.3824 | − | 5.96270i | −1.00071 | − | 0.364230i | ||||
\(269\) | 3.17412 | + | 18.0013i | 0.193529 | + | 1.09756i | 0.914498 | + | 0.404591i | \(0.132586\pi\) |
−0.720969 | + | 0.692968i | \(0.756303\pi\) | |||||||
\(270\) | 5.18866 | + | 4.35381i | 0.315772 | + | 0.264964i | ||||
\(271\) | 14.5273 | − | 12.1899i | 0.882473 | − | 0.740483i | −0.0842129 | − | 0.996448i | \(-0.526838\pi\) |
0.966686 | + | 0.255965i | \(0.0823932\pi\) | |||||||
\(272\) | −0.0120217 | + | 0.0681784i | −0.000728923 | + | 0.00413393i | ||||
\(273\) | −2.64543 | + | 4.58202i | −0.160109 | + | 0.277316i | ||||
\(274\) | 8.59152 | + | 14.8809i | 0.519033 | + | 0.898991i | ||||
\(275\) | −4.52481 | + | 1.64690i | −0.272857 | + | 0.0993117i | ||||
\(276\) | −1.07873 | + | 0.392624i | −0.0649317 | + | 0.0236332i | ||||
\(277\) | −6.88191 | − | 11.9198i | −0.413494 | − | 0.716193i | 0.581775 | − | 0.813350i | \(-0.302358\pi\) |
−0.995269 | + | 0.0971571i | \(0.969025\pi\) | |||||||
\(278\) | 6.76991 | − | 11.7258i | 0.406033 | − | 0.703269i | ||||
\(279\) | 0.916937 | − | 5.20021i | 0.0548956 | − | 0.311328i | ||||
\(280\) | 10.3439 | − | 8.67956i | 0.618166 | − | 0.518703i | ||||
\(281\) | −10.0437 | − | 8.42767i | −0.599157 | − | 0.502752i | 0.292018 | − | 0.956413i | \(-0.405673\pi\) |
−0.891175 | + | 0.453661i | \(0.850118\pi\) | |||||||
\(282\) | 0.0582480 | + | 0.330341i | 0.00346862 | + | 0.0196715i | ||||
\(283\) | 16.3293 | + | 5.94340i | 0.970679 | + | 0.353298i | 0.778209 | − | 0.628005i | \(-0.216128\pi\) |
0.192469 | + | 0.981303i | \(0.438350\pi\) | |||||||
\(284\) | −16.8776 | −1.00150 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.8726 | −0.938565 | ||||||||
\(287\) | 7.92989 | + | 2.88624i | 0.468087 | + | 0.170370i | ||||
\(288\) | 2.65998 | + | 15.0855i | 0.156741 | + | 0.888921i | ||||
\(289\) | −10.9304 | − | 9.17166i | −0.642962 | − | 0.539509i | ||||
\(290\) | 5.91534 | − | 4.96356i | 0.347361 | − | 0.291470i | ||||
\(291\) | −0.168434 | + | 0.955234i | −0.00987375 | + | 0.0559968i | ||||
\(292\) | −4.61081 | + | 7.98617i | −0.269828 | + | 0.467355i | ||||
\(293\) | 7.80200 | + | 13.5135i | 0.455798 | + | 0.789465i | 0.998734 | − | 0.0503091i | \(-0.0160206\pi\) |
−0.542936 | + | 0.839774i | \(0.682687\pi\) | |||||||
\(294\) | 1.52481 | − | 0.554987i | 0.0889290 | − | 0.0323675i | ||||
\(295\) | 25.5993 | − | 9.31737i | 1.49045 | − | 0.542478i | ||||
\(296\) | −1.18820 | − | 2.05802i | −0.0690625 | − | 0.119620i | ||||
\(297\) | −5.18866 | + | 8.98703i | −0.301077 | + | 0.521480i | ||||
\(298\) | 0.575160 | − | 3.26189i | 0.0333181 | − | 0.188956i | ||||
\(299\) | 7.12836 | − | 5.98140i | 0.412243 | − | 0.345913i | ||||
\(300\) | 0.705737 | + | 0.592184i | 0.0407457 | + | 0.0341897i | ||||
\(301\) | −1.56670 | − | 8.88522i | −0.0903033 | − | 0.512136i | ||||
\(302\) | 12.0617 | + | 4.39008i | 0.694070 | + | 0.252621i | ||||
\(303\) | 4.21482 | 0.242135 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −11.1138 | −0.636375 | ||||||||
\(306\) | −3.71048 | − | 1.35051i | −0.212114 | − | 0.0772033i | ||||
\(307\) | −3.73695 | − | 21.1933i | −0.213279 | − | 1.20956i | −0.883868 | − | 0.467736i | \(-0.845070\pi\) |
0.670589 | − | 0.741829i | \(-0.266041\pi\) | |||||||
\(308\) | 6.02481 | + | 5.05542i | 0.343296 | + | 0.288059i | ||||
\(309\) | −0.00592979 | + | 0.00497568i | −0.000337334 | + | 0.000283057i | ||||
\(310\) | −0.751497 | + | 4.26195i | −0.0426821 | + | 0.242062i | ||||
\(311\) | −7.24763 | + | 12.5533i | −0.410975 | + | 0.711830i | −0.994997 | − | 0.0999083i | \(-0.968145\pi\) |
0.584021 | + | 0.811738i | \(0.301478\pi\) | |||||||
\(312\) | 3.99407 | + | 6.91793i | 0.226120 | + | 0.391651i | ||||
\(313\) | −18.3414 | + | 6.67571i | −1.03672 | + | 0.377334i | −0.803634 | − | 0.595124i | \(-0.797103\pi\) |
−0.233081 | + | 0.972457i | \(0.574881\pi\) | |||||||
\(314\) | −8.57310 | + | 3.12035i | −0.483808 | + | 0.176092i | ||||
\(315\) | 6.46451 | + | 11.1969i | 0.364234 | + | 0.630871i | ||||
\(316\) | 4.27079 | − | 7.39723i | 0.240251 | − | 0.416127i | ||||
\(317\) | −4.92246 | + | 27.9166i | −0.276473 | + | 1.56795i | 0.457772 | + | 0.889070i | \(0.348648\pi\) |
−0.734245 | + | 0.678885i | \(0.762464\pi\) | |||||||
\(318\) | 2.18866 | − | 1.83651i | 0.122734 | − | 0.102986i | ||||
\(319\) | 9.06283 | + | 7.60462i | 0.507421 | + | 0.425777i | ||||
\(320\) | −2.21688 | − | 12.5726i | −0.123927 | − | 0.702827i | ||||
\(321\) | 1.77719 | + | 0.646844i | 0.0991930 | + | 0.0361033i | ||||
\(322\) | 2.90673 | 0.161986 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −8.01279 | −0.445155 | ||||||||
\(325\) | −7.01754 | − | 2.55418i | −0.389263 | − | 0.141680i | ||||
\(326\) | 0.308811 | + | 1.75135i | 0.0171035 | + | 0.0969985i | ||||
\(327\) | 3.00387 | + | 2.52055i | 0.166114 | + | 0.139387i | ||||
\(328\) | 9.76011 | − | 8.18971i | 0.538912 | − | 0.452201i | ||||
\(329\) | −0.233956 | + | 1.32683i | −0.0128984 | + | 0.0731504i | ||||
\(330\) | 2.02094 | − | 3.50038i | 0.111249 | − | 0.192690i | ||||
\(331\) | −0.855037 | − | 1.48097i | −0.0469971 | − | 0.0814014i | 0.841570 | − | 0.540148i | \(-0.181632\pi\) |
−0.888567 | + | 0.458747i | \(0.848298\pi\) | |||||||
\(332\) | 2.89615 | − | 1.05411i | 0.158947 | − | 0.0578520i | ||||
\(333\) | 2.13816 | − | 0.778225i | 0.117170 | − | 0.0426465i | ||||
\(334\) | 10.2258 | + | 17.7116i | 0.559531 | + | 0.969136i | ||||
\(335\) | −17.9932 | + | 31.1651i | −0.983073 | + | 1.70273i | ||||
\(336\) | −0.00727396 | + | 0.0412527i | −0.000396827 | + | 0.00225052i | ||||
\(337\) | −19.4873 | + | 16.3518i | −1.06154 | + | 0.890737i | −0.994259 | − | 0.106997i | \(-0.965876\pi\) |
−0.0672796 | + | 0.997734i | \(0.521432\pi\) | |||||||
\(338\) | −10.1001 | − | 8.47502i | −0.549375 | − | 0.460980i | ||||
\(339\) | 0.681637 | + | 3.86576i | 0.0370215 | + | 0.209959i | ||||
\(340\) | −4.82383 | − | 1.75573i | −0.261609 | − | 0.0952178i | ||||
\(341\) | −6.63041 | −0.359057 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.6732 | 1.06225 | ||||||||
\(344\) | −12.8004 | − | 4.65895i | −0.690149 | − | 0.251194i | ||||
\(345\) | 0.411474 | + | 2.33359i | 0.0221530 | + | 0.125636i | ||||
\(346\) | 0.604007 | + | 0.506822i | 0.0324716 | + | 0.0272469i | ||||
\(347\) | 5.90033 | − | 4.95096i | 0.316746 | − | 0.265782i | −0.470527 | − | 0.882385i | \(-0.655936\pi\) |
0.787274 | + | 0.616604i | \(0.211492\pi\) | |||||||
\(348\) | 0.393056 | − | 2.22913i | 0.0210700 | − | 0.119494i | ||||
\(349\) | −11.3785 | + | 19.7082i | −0.609078 | + | 1.05495i | 0.382315 | + | 0.924032i | \(0.375127\pi\) |
−0.991393 | + | 0.130921i | \(0.958206\pi\) | |||||||
\(350\) | −1.16637 | − | 2.02022i | −0.0623453 | − | 0.107985i | ||||
\(351\) | −15.1236 | + | 5.50454i | −0.807238 | + | 0.293811i | ||||
\(352\) | 18.0744 | − | 6.57856i | 0.963371 | − | 0.350638i | ||||
\(353\) | 5.72281 | + | 9.91220i | 0.304595 | + | 0.527573i | 0.977171 | − | 0.212454i | \(-0.0681457\pi\) |
−0.672576 | + | 0.740028i | \(0.734812\pi\) | |||||||
\(354\) | −2.51707 | + | 4.35970i | −0.133781 | + | 0.231715i | ||||
\(355\) | −6.04963 | + | 34.3092i | −0.321081 | + | 1.82094i | ||||
\(356\) | −2.14543 | + | 1.80023i | −0.113708 | + | 0.0954120i | ||||
\(357\) | 1.26604 | + | 1.06234i | 0.0670062 | + | 0.0562249i | ||||
\(358\) | −3.25537 | − | 18.4621i | −0.172051 | − | 0.975752i | ||||
\(359\) | −9.75789 | − | 3.55158i | −0.515002 | − | 0.187445i | 0.0714274 | − | 0.997446i | \(-0.477245\pi\) |
−0.586429 | + | 0.810000i | \(0.699467\pi\) | |||||||
\(360\) | 19.5202 | 1.02881 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −14.1575 | −0.744099 | ||||||||
\(363\) | 0.319078 | + | 0.116135i | 0.0167472 | + | 0.00609550i | ||||
\(364\) | 2.11809 | + | 12.0123i | 0.111018 | + | 0.629614i | ||||
\(365\) | 14.5817 | + | 12.2355i | 0.763242 | + | 0.640436i | ||||
\(366\) | 1.57326 | − | 1.32012i | 0.0822358 | − | 0.0690040i | ||||
\(367\) | −5.64930 | + | 32.0388i | −0.294891 | + | 1.67241i | 0.372754 | + | 0.927930i | \(0.378414\pi\) |
−0.667645 | + | 0.744480i | \(0.732697\pi\) | |||||||
\(368\) | 0.0368366 | − | 0.0638029i | 0.00192024 | − | 0.00332596i | ||||
\(369\) | 6.09967 | + | 10.5649i | 0.317536 | + | 0.549989i | ||||
\(370\) | −1.75237 | + | 0.637812i | −0.0911016 | + | 0.0331583i | ||||
\(371\) | 10.7836 | − | 3.92490i | 0.559856 | − | 0.203771i | ||||
\(372\) | 0.634285 | + | 1.09861i | 0.0328862 | + | 0.0569605i | ||||
\(373\) | 15.2429 | − | 26.4014i | 0.789246 | − | 1.36701i | −0.137183 | − | 0.990546i | \(-0.543805\pi\) |
0.926429 | − | 0.376469i | \(-0.122862\pi\) | |||||||
\(374\) | −0.860967 | + | 4.88279i | −0.0445195 | + | 0.252483i | ||||
\(375\) | −3.70368 | + | 3.10775i | −0.191257 | + | 0.160484i | ||||
\(376\) | 1.55825 | + | 1.30753i | 0.0803605 | + | 0.0674305i | ||||
\(377\) | 3.18614 | + | 18.0695i | 0.164094 | + | 0.930626i | ||||
\(378\) | −4.72416 | − | 1.71945i | −0.242984 | − | 0.0884391i | ||||
\(379\) | −17.8598 | −0.917396 | −0.458698 | − | 0.888592i | \(-0.651684\pi\) | ||||
−0.458698 | + | 0.888592i | \(0.651684\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0537486 | −0.00275363 | ||||||||
\(382\) | 15.6582 | + | 5.69913i | 0.801144 | + | 0.291593i | ||||
\(383\) | 4.07310 | + | 23.0997i | 0.208126 | + | 1.18034i | 0.892445 | + | 0.451157i | \(0.148988\pi\) |
−0.684319 | + | 0.729183i | \(0.739900\pi\) | |||||||
\(384\) | −2.78905 | − | 2.34029i | −0.142328 | − | 0.119427i | ||||
\(385\) | 12.4363 | − | 10.4353i | 0.633812 | − | 0.531831i | ||||
\(386\) | 1.97013 | − | 11.1732i | 0.100277 | − | 0.568700i | ||||
\(387\) | 6.52141 | − | 11.2954i | 0.331502 | − | 0.574178i | ||||
\(388\) | 1.11809 | + | 1.93659i | 0.0567623 | + | 0.0983153i | ||||
\(389\) | −3.67365 | + | 1.33710i | −0.186261 | + | 0.0677936i | −0.433467 | − | 0.901169i | \(-0.642710\pi\) |
0.247206 | + | 0.968963i | \(0.420488\pi\) | |||||||
\(390\) | 5.89053 | − | 2.14398i | 0.298279 | − | 0.108565i | ||||
\(391\) | −1.45336 | − | 2.51730i | −0.0734997 | − | 0.127305i | ||||
\(392\) | 4.92009 | − | 8.52185i | 0.248502 | − | 0.430418i | ||||
\(393\) | 0.280592 | − | 1.59132i | 0.0141540 | − | 0.0802714i | ||||
\(394\) | 15.6288 | − | 13.1141i | 0.787369 | − | 0.660681i | ||||
\(395\) | −13.5064 | − | 11.3332i | −0.679581 | − | 0.570236i | ||||
\(396\) | 1.97431 | + | 11.1969i | 0.0992127 | + | 0.562663i | ||||
\(397\) | −8.41875 | − | 3.06417i | −0.422525 | − | 0.153786i | 0.122002 | − | 0.992530i | \(-0.461069\pi\) |
−0.544527 | + | 0.838743i | \(0.683291\pi\) | |||||||
\(398\) | −8.10936 | −0.406486 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0591253 | −0.00295627 | ||||||||
\(401\) | −1.90508 | − | 0.693392i | −0.0951350 | − | 0.0346263i | 0.294014 | − | 0.955801i | \(-0.405009\pi\) |
−0.389149 | + | 0.921175i | \(0.627231\pi\) | |||||||
\(402\) | −1.15476 | − | 6.54899i | −0.0575943 | − | 0.326634i | ||||
\(403\) | −7.87733 | − | 6.60986i | −0.392398 | − | 0.329261i | ||||
\(404\) | 7.44356 | − | 6.24589i | 0.370331 | − | 0.310745i | ||||
\(405\) | −2.87211 | + | 16.2886i | −0.142716 | + | 0.809385i | ||||
\(406\) | −2.86571 | + | 4.96356i | −0.142223 | + | 0.246338i | ||||
\(407\) | −1.42855 | − | 2.47432i | −0.0708105 | − | 0.122647i | ||||
\(408\) | 2.34477 | − | 0.853427i | 0.116083 | − | 0.0422509i | ||||
\(409\) | −30.2656 | + | 11.0158i | −1.49654 | + | 0.544696i | −0.955162 | − | 0.296084i | \(-0.904319\pi\) |
−0.541377 | + | 0.840780i | \(0.682097\pi\) | |||||||
\(410\) | −4.99912 | − | 8.65873i | −0.246889 | − | 0.427624i | ||||
\(411\) | 5.19846 | − | 9.00400i | 0.256421 | − | 0.444135i | ||||
\(412\) | −0.00309887 | + | 0.0175745i | −0.000152670 | + | 0.000865836i | ||||
\(413\) | −15.4893 | + | 12.9971i | −0.762180 | + | 0.639545i | ||||
\(414\) | 3.21894 | + | 2.70101i | 0.158202 | + | 0.132747i | ||||
\(415\) | −1.10472 | − | 6.26519i | −0.0542287 | − | 0.307546i | ||||
\(416\) | 28.0317 | + | 10.2027i | 1.37437 | + | 0.500228i | ||||
\(417\) | −8.19253 | −0.401190 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −23.2499 | −1.13583 | −0.567916 | − | 0.823086i | \(-0.692250\pi\) | ||||
−0.567916 | + | 0.823086i | \(0.692250\pi\) | |||||||
\(420\) | −2.91875 | − | 1.06234i | −0.142420 | − | 0.0518368i | ||||
\(421\) | −1.12061 | − | 6.35532i | −0.0546154 | − | 0.309739i | 0.945246 | − | 0.326357i | \(-0.105821\pi\) |
−0.999862 | + | 0.0166178i | \(0.994710\pi\) | |||||||
\(422\) | 9.85117 | + | 8.26611i | 0.479547 | + | 0.402388i | ||||
\(423\) | −1.49201 | + | 1.25195i | −0.0725440 | + | 0.0608717i | ||||
\(424\) | 3.00862 | − | 17.0627i | 0.146111 | − | 0.828639i | ||||
\(425\) | −1.16637 | + | 2.02022i | −0.0565775 | + | 0.0979950i | ||||
\(426\) | −3.21894 | − | 5.57537i | −0.155958 | − | 0.270128i | ||||
\(427\) | 7.75150 | − | 2.82131i | 0.375121 | − | 0.136533i | ||||
\(428\) | 4.09714 | − | 1.49124i | 0.198043 | − | 0.0720817i | ||||
\(429\) | 4.80200 | + | 8.31731i | 0.231843 | + | 0.401564i | ||||
\(430\) | −5.34477 | + | 9.25741i | −0.257748 | + | 0.446432i | ||||
\(431\) | 2.43061 | − | 13.7847i | 0.117078 | − | 0.663984i | −0.868622 | − | 0.495475i | \(-0.834994\pi\) |
0.985700 | − | 0.168508i | \(-0.0538950\pi\) | |||||||
\(432\) | −0.0976108 | + | 0.0819052i | −0.00469630 | + | 0.00394067i | ||||
\(433\) | 21.9800 | + | 18.4434i | 1.05629 | + | 0.886333i | 0.993741 | − | 0.111709i | \(-0.0356323\pi\) |
0.0625499 | + | 0.998042i | \(0.480077\pi\) | |||||||
\(434\) | −0.557781 | − | 3.16333i | −0.0267744 | − | 0.151845i | ||||
\(435\) | −4.39053 | − | 1.59802i | −0.210510 | − | 0.0766193i | ||||
\(436\) | 9.04013 | 0.432944 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −3.51754 | −0.168075 | ||||||||
\(439\) | −12.5376 | − | 4.56332i | −0.598387 | − | 0.217795i | 0.0250271 | − | 0.999687i | \(-0.492033\pi\) |
−0.623414 | + | 0.781892i | \(0.714255\pi\) | |||||||
\(440\) | −4.25624 | − | 24.1384i | −0.202908 | − | 1.15075i | ||||
\(441\) | 7.21760 | + | 6.05628i | 0.343695 | + | 0.288394i | ||||
\(442\) | −5.89053 | + | 4.94274i | −0.280184 | + | 0.235102i | ||||
\(443\) | 5.88372 | − | 33.3682i | 0.279544 | − | 1.58537i | −0.444603 | − | 0.895728i | \(-0.646655\pi\) |
0.724147 | − | 0.689646i | \(-0.242234\pi\) | |||||||
\(444\) | −0.273318 | + | 0.473401i | −0.0129711 | + | 0.0224666i | ||||
\(445\) | 2.89053 | + | 5.00654i | 0.137024 | + | 0.237333i | ||||
\(446\) | 2.49108 | − | 0.906678i | 0.117956 | − | 0.0429324i | ||||
\(447\) | −1.88326 | + | 0.685449i | −0.0890749 | + | 0.0324206i | ||||
\(448\) | 4.73783 | + | 8.20616i | 0.223841 | + | 0.387704i | ||||
\(449\) | 9.42009 | − | 16.3161i | 0.444562 | − | 0.770003i | −0.553460 | − | 0.832876i | \(-0.686693\pi\) |
0.998022 | + | 0.0628725i | \(0.0200261\pi\) | |||||||
\(450\) | 0.585589 | − | 3.32104i | 0.0276049 | − | 0.156555i | ||||
\(451\) | 11.7344 | − | 9.84635i | 0.552552 | − | 0.463646i | ||||
\(452\) | 6.93242 | + | 5.81699i | 0.326074 | + | 0.273608i | ||||
\(453\) | −1.34864 | − | 7.64852i | −0.0633647 | − | 0.359359i | ||||
\(454\) | 11.3391 | + | 4.12711i | 0.532172 | + | 0.193695i | ||||
\(455\) | 25.1780 | 1.18036 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.2790 | 0.667943 | 0.333972 | − | 0.942583i | \(-0.391611\pi\) | ||||
0.333972 | + | 0.942583i | \(0.391611\pi\) | |||||||
\(458\) | 7.77941 | + | 2.83147i | 0.363508 | + | 0.132306i | ||||
\(459\) | 0.872989 | + | 4.95096i | 0.0407476 | + | 0.231091i | ||||
\(460\) | 4.18479 | + | 3.51146i | 0.195117 | + | 0.163723i | ||||
\(461\) | −10.6695 | + | 8.95280i | −0.496930 | + | 0.416973i | −0.856502 | − | 0.516144i | \(-0.827367\pi\) |
0.359572 | + | 0.933117i | \(0.382923\pi\) | |||||||
\(462\) | −0.520945 | + | 2.95442i | −0.0242365 | + | 0.137452i | ||||
\(463\) | 0.881445 | − | 1.52671i | 0.0409642 | − | 0.0709521i | −0.844816 | − | 0.535056i | \(-0.820290\pi\) |
0.885781 | + | 0.464104i | \(0.153624\pi\) | |||||||
\(464\) | 0.0726338 | + | 0.125805i | 0.00337194 | + | 0.00584037i | ||||
\(465\) | 2.46064 | − | 0.895599i | 0.114109 | − | 0.0415324i | ||||
\(466\) | −19.9859 | + | 7.27428i | −0.925830 | + | 0.336974i | ||||
\(467\) | −11.0209 | − | 19.0888i | −0.509988 | − | 0.883326i | −0.999933 | − | 0.0115724i | \(-0.996316\pi\) |
0.489945 | − | 0.871754i | \(-0.337017\pi\) | |||||||
\(468\) | −8.81655 | + | 15.2707i | −0.407545 | + | 0.705889i | ||||
\(469\) | 4.63816 | − | 26.3043i | 0.214170 | − | 1.21462i | ||||
\(470\) | 1.22281 | − | 1.02606i | 0.0564041 | − | 0.0473286i | ||||
\(471\) | 4.22874 | + | 3.54834i | 0.194850 | + | 0.163499i | ||||
\(472\) | 5.30113 | + | 30.0642i | 0.244004 | + | 1.38382i | ||||
\(473\) | −15.3897 | − | 5.60138i | −0.707617 | − | 0.257552i | ||||
\(474\) | 3.25814 | 0.149651 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.81016 | 0.174638 | ||||||||
\(477\) | 15.5890 | + | 5.67393i | 0.713771 | + | 0.259791i | ||||
\(478\) | 3.56196 | + | 20.2009i | 0.162920 | + | 0.923966i | ||||
\(479\) | −19.5012 | − | 16.3634i | −0.891032 | − | 0.747664i | 0.0773851 | − | 0.997001i | \(-0.475343\pi\) |
−0.968417 | + | 0.249337i | \(0.919787\pi\) | |||||||
\(480\) | −5.81908 | + | 4.88279i | −0.265603 | + | 0.222868i | ||||
\(481\) | 0.769448 | − | 4.36376i | 0.0350838 | − | 0.198970i | ||||
\(482\) | −0.130882 | + | 0.226694i | −0.00596150 | + | 0.0103256i | ||||
\(483\) | −0.879385 | − | 1.52314i | −0.0400134 | − | 0.0693053i | ||||
\(484\) | 0.735604 | − | 0.267738i | 0.0334366 | − | 0.0121699i | ||||
\(485\) | 4.33750 | − | 1.57872i | 0.196956 | − | 0.0716860i | ||||
\(486\) | −5.54071 | − | 9.59679i | −0.251332 | − | 0.435319i | ||||
\(487\) | −11.2554 | + | 19.4949i | −0.510029 | + | 0.883397i | 0.489903 | + | 0.871777i | \(0.337032\pi\) |
−0.999932 | + | 0.0116199i | \(0.996301\pi\) | |||||||
\(488\) | 2.16267 | − | 12.2651i | 0.0978993 | − | 0.555214i | ||||
\(489\) | 0.824292 | − | 0.691663i | 0.0372758 | − | 0.0312781i | ||||
\(490\) | −5.91534 | − | 4.96356i | −0.267228 | − | 0.224231i | ||||
\(491\) | 2.71482 | + | 15.3965i | 0.122518 | + | 0.694835i | 0.982751 | + | 0.184934i | \(0.0592071\pi\) |
−0.860233 | + | 0.509902i | \(0.829682\pi\) | |||||||
\(492\) | −2.75402 | − | 1.00238i | −0.124161 | − | 0.0451909i | ||||
\(493\) | 5.73143 | 0.258131 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 23.4688 | 1.05485 | ||||||||
\(496\) | −0.0765042 | − | 0.0278452i | −0.00343514 | − | 0.00125029i | ||||
\(497\) | −4.49020 | − | 25.4652i | −0.201413 | − | 1.14227i | ||||
\(498\) | 0.900578 | + | 0.755675i | 0.0403559 | + | 0.0338626i | ||||
\(499\) | −21.9217 | + | 18.3945i | −0.981352 | + | 0.823452i | −0.984293 | − | 0.176544i | \(-0.943508\pi\) |
0.00294090 | + | 0.999996i | \(0.499064\pi\) | |||||||
\(500\) | −1.93552 | + | 10.9769i | −0.0865590 | + | 0.490900i | ||||
\(501\) | 6.18732 | − | 10.7168i | 0.276429 | − | 0.478789i | ||||
\(502\) | −7.12196 | − | 12.3356i | −0.317869 | − | 0.550565i | ||||
\(503\) | 23.5351 | − | 8.56607i | 1.04938 | − | 0.381942i | 0.240950 | − | 0.970538i | \(-0.422541\pi\) |
0.808428 | + | 0.588595i | \(0.200319\pi\) | |||||||
\(504\) | −13.6147 | + | 4.95534i | −0.606446 | + | 0.220728i | ||||
\(505\) | −10.0287 | − | 17.3702i | −0.446271 | − | 0.772963i | ||||
\(506\) | 2.63816 | − | 4.56942i | 0.117280 | − | 0.203135i | ||||
\(507\) | −1.38532 | + | 7.85651i | −0.0615240 | + | 0.348920i | ||||
\(508\) | −0.0949225 | + | 0.0796494i | −0.00421150 | + | 0.00353387i | ||||
\(509\) | −25.6787 | − | 21.5470i | −1.13819 | − | 0.955053i | −0.138810 | − | 0.990319i | \(-0.544328\pi\) |
−0.999378 | + | 0.0352655i | \(0.988772\pi\) | |||||||
\(510\) | −0.340022 | − | 1.92836i | −0.0150564 | − | 0.0853893i | ||||
\(511\) | −13.2763 | − | 4.83218i | −0.587309 | − | 0.213763i | ||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.5030 | 0.595591 | ||||||||
\(515\) | 0.0346151 | + | 0.0125989i | 0.00152532 | + | 0.000555172i | ||||
\(516\) | 0.544111 | + | 3.08580i | 0.0239531 | + | 0.135845i | ||||
\(517\) | 1.87346 | + | 1.57202i | 0.0823945 | + | 0.0691372i | ||||
\(518\) | 1.06031 | − | 0.889704i | 0.0465872 | − | 0.0390913i | ||||
\(519\) | 0.0828445 | − | 0.469834i | 0.00363647 | − | 0.0206234i | ||||
\(520\) | 19.0069 | − | 32.9209i | 0.833506 | − | 1.44367i | ||||
\(521\) | −13.7392 | − | 23.7969i | −0.601924 | − | 1.04256i | −0.992530 | − | 0.122005i | \(-0.961068\pi\) |
0.390606 | − | 0.920558i | \(-0.372266\pi\) | |||||||
\(522\) | −7.78581 | + | 2.83380i | −0.340776 | + | 0.124032i | ||||
\(523\) | −9.73277 | + | 3.54244i | −0.425584 | + | 0.154900i | −0.545928 | − | 0.837832i | \(-0.683823\pi\) |
0.120343 | + | 0.992732i | \(0.461600\pi\) | |||||||
\(524\) | −1.86262 | − | 3.22615i | −0.0813687 | − | 0.140935i | ||||
\(525\) | −0.705737 | + | 1.22237i | −0.0308009 | + | 0.0533487i | ||||
\(526\) | −1.47255 | + | 8.35126i | −0.0642064 | + | 0.364132i | ||||
\(527\) | −2.46064 | + | 2.06472i | −0.107187 | + | 0.0899406i | ||||
\(528\) | 0.0582480 | + | 0.0488759i | 0.00253492 | + | 0.00212705i | ||||
\(529\) | −3.45677 | − | 19.6043i | −0.150294 | − | 0.852361i | ||||
\(530\) | −12.7763 | − | 4.65020i | −0.554968 | − | 0.201992i | ||||
\(531\) | −29.2303 | −1.26849 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.7570 | 1.02903 | ||||||||
\(534\) | −1.00387 | − | 0.365379i | −0.0434417 | − | 0.0158115i | ||||
\(535\) | −1.56283 | − | 8.86327i | −0.0675672 | − | 0.383193i | ||||
\(536\) | −30.8922 | − | 25.9216i | −1.33434 | − | 1.11964i | ||||
\(537\) | −8.68938 | + | 7.29125i | −0.374974 | + | 0.314641i | ||||
\(538\) | −2.79127 | + | 15.8301i | −0.120340 | + | 0.682483i | ||||
\(539\) | 5.91534 | − | 10.2457i | 0.254792 | − | 0.441313i | ||||
\(540\) | −4.72416 | − | 8.18248i | −0.203295 | − | 0.352118i | ||||
\(541\) | −2.37211 | + | 0.863378i | −0.101985 | + | 0.0371195i | −0.392509 | − | 0.919748i | \(-0.628393\pi\) |
0.290524 | + | 0.956868i | \(0.406170\pi\) | |||||||
\(542\) | 15.6710 | − | 5.70378i | 0.673128 | − | 0.244998i | ||||
\(543\) | 4.28312 | + | 7.41858i | 0.183806 | + | 0.318362i | ||||
\(544\) | 4.65910 | − | 8.06980i | 0.199757 | − | 0.345990i | ||||
\(545\) | 3.24035 | − | 18.3770i | 0.138801 | − | 0.787182i | ||||
\(546\) | −3.56418 | + | 2.99070i | −0.152533 | + | 0.127990i | ||||
\(547\) | −5.87939 | − | 4.93339i | −0.251384 | − | 0.210937i | 0.508384 | − | 0.861131i | \(-0.330243\pi\) |
−0.759768 | + | 0.650194i | \(0.774688\pi\) | |||||||
\(548\) | −4.16220 | − | 23.6050i | −0.177800 | − | 1.00836i | ||||
\(549\) | 11.2057 | + | 4.07855i | 0.478249 | + | 0.174068i | ||||
\(550\) | −4.23442 | −0.180556 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2.65539 | −0.113021 | ||||||||
\(553\) | 12.2973 | + | 4.47584i | 0.522933 | + | 0.190332i | ||||
\(554\) | −2.10179 | − | 11.9198i | −0.0892963 | − | 0.506425i | ||||
\(555\) | 0.864370 | + | 0.725293i | 0.0366905 | + | 0.0307870i | ||||
\(556\) | −14.4684 | + | 12.1404i | −0.613596 | + | 0.514868i | ||||
\(557\) | 0.565360 | − | 3.20631i | 0.0239551 | − | 0.135856i | −0.970485 | − | 0.241163i | \(-0.922471\pi\) |
0.994440 | + | 0.105307i | \(0.0335824\pi\) | |||||||
\(558\) | 2.32177 | − | 4.02142i | 0.0982882 | − | 0.170240i | ||||
\(559\) | −12.6998 | − | 21.9967i | −0.537145 | − | 0.930362i | ||||
\(560\) | 0.187319 | − | 0.0681784i | 0.00791566 | − | 0.00288107i | ||||
\(561\) | 2.81908 | − | 1.02606i | 0.119022 | − | 0.0433203i | ||||
\(562\) | −5.76486 | − | 9.98503i | −0.243176 | − | 0.421193i | ||||
\(563\) | 2.62954 | − | 4.55449i | 0.110822 | − | 0.191949i | −0.805280 | − | 0.592895i | \(-0.797985\pi\) |
0.916102 | + | 0.400946i | \(0.131318\pi\) | |||||||
\(564\) | 0.0812519 | − | 0.460802i | 0.00342132 | − | 0.0194033i | ||||
\(565\) | 14.3097 | − | 12.0073i | 0.602015 | − | 0.505151i | ||||
\(566\) | 11.7062 | + | 9.82267i | 0.492048 | + | 0.412878i | ||||
\(567\) | −2.13176 | − | 12.0898i | −0.0895255 | − | 0.507724i | ||||
\(568\) | −36.6860 | − | 13.3526i | −1.53931 | − | 0.560264i | ||||
\(569\) | 29.9564 | 1.25584 | 0.627918 | − | 0.778280i | \(-0.283907\pi\) | ||||
0.627918 | + | 0.778280i | \(0.283907\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.7101 | −0.699295 | −0.349647 | − | 0.936881i | \(-0.613699\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613699\pi\) | |||||||
\(572\) | 20.8059 | + | 7.57272i | 0.869937 | + | 0.316631i | ||||
\(573\) | −1.75078 | − | 9.92917i | −0.0731399 | − | 0.414797i | ||||
\(574\) | 5.68479 | + | 4.77011i | 0.237279 | + | 0.199100i | ||||
\(575\) | 1.90167 | − | 1.59569i | 0.0793053 | − | 0.0665450i | ||||
\(576\) | −2.37867 | + | 13.4901i | −0.0991113 | + | 0.562088i | ||||
\(577\) | 6.84002 | − | 11.8473i | 0.284754 | − | 0.493208i | −0.687796 | − | 0.725904i | \(-0.741421\pi\) |
0.972549 | + | 0.232696i | \(0.0747548\pi\) | |||||||
\(578\) | −6.27379 | − | 10.8665i | −0.260955 | − | 0.451987i | ||||
\(579\) | −6.45084 | + | 2.34791i | −0.268088 | + | 0.0975759i | ||||
\(580\) | −10.1220 | + | 3.68409i | −0.420291 | + | 0.152974i | ||||
\(581\) | 2.36097 | + | 4.08931i | 0.0979494 | + | 0.169653i | ||||
\(582\) | −0.426489 | + | 0.738700i | −0.0176785 | + | 0.0306201i | ||||
\(583\) | 3.61721 | − | 20.5142i | 0.149810 | − | 0.849612i | ||||
\(584\) | −16.3405 | + | 13.7113i | −0.676174 | + | 0.567378i | ||||
\(585\) | 27.8824 | + | 23.3961i | 1.15279 | + | 0.967309i | ||||
\(586\) | 2.38279 | + | 13.5135i | 0.0984321 | + | 0.558236i | ||||
\(587\) | 22.5872 | + | 8.22108i | 0.932275 | + | 0.339320i | 0.763111 | − | 0.646268i | \(-0.223671\pi\) |
0.169164 | + | 0.985588i | \(0.445893\pi\) | |||||||
\(588\) | −2.26352 | −0.0933459 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 23.9564 | 0.986268 | ||||||||
\(591\) | −11.6001 | − | 4.22210i | −0.477166 | − | 0.173674i | ||||
\(592\) | −0.00609191 | − | 0.0345490i | −0.000250376 | − | 0.00141995i | ||||
\(593\) | −3.24897 | − | 2.72621i | −0.133419 | − | 0.111952i | 0.573636 | − | 0.819110i | \(-0.305532\pi\) |
−0.707055 | + | 0.707158i | \(0.749977\pi\) | |||||||
\(594\) | −6.99067 | + | 5.86587i | −0.286831 | + | 0.240679i | ||||
\(595\) | 1.36571 | − | 7.74535i | 0.0559888 | − | 0.317529i | ||||
\(596\) | −2.31016 | + | 4.00131i | −0.0946276 | + | 0.163900i | ||||
\(597\) | 2.45336 | + | 4.24935i | 0.100409 | + | 0.173914i | ||||
\(598\) | 7.68954 | − | 2.79876i | 0.314449 | − | 0.114450i | ||||
\(599\) | −24.6894 | + | 8.98622i | −1.00878 | + | 0.367167i | −0.792965 | − | 0.609267i | \(-0.791464\pi\) |
−0.215818 | + | 0.976434i | \(0.569242\pi\) | |||||||
\(600\) | 1.06552 | + | 1.84554i | 0.0434998 | + | 0.0753438i | ||||
\(601\) | −21.1197 | + | 36.5805i | −0.861492 | + | 1.49215i | 0.00899659 | + | 0.999960i | \(0.497136\pi\) |
−0.870489 | + | 0.492188i | \(0.836197\pi\) | |||||||
\(602\) | 1.37774 | − | 7.81353i | 0.0561523 | − | 0.318456i | ||||
\(603\) | 29.5790 | − | 24.8198i | 1.20455 | − | 1.01074i | ||||
\(604\) | −13.7160 | − | 11.5091i | −0.558096 | − | 0.468298i | ||||
\(605\) | −0.280592 | − | 1.59132i | −0.0114077 | − | 0.0646963i | ||||
\(606\) | 3.48293 | + | 1.26768i | 0.141484 | + | 0.0514960i | ||||
\(607\) | 22.0969 | 0.896885 | 0.448443 | − | 0.893812i | \(-0.351979\pi\) | ||||
0.448443 | + | 0.893812i | \(0.351979\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.46791 | 0.140527 | ||||||||
\(610\) | −9.18392 | − | 3.34267i | −0.371846 | − | 0.135341i | ||||
\(611\) | 0.658633 | + | 3.73530i | 0.0266455 | + | 0.151114i | ||||
\(612\) | 4.21941 | + | 3.54050i | 0.170559 | + | 0.143116i | ||||
\(613\) | 5.49794 | − | 4.61332i | 0.222060 | − | 0.186330i | −0.524970 | − | 0.851121i | \(-0.675924\pi\) |
0.747030 | + | 0.664790i | \(0.231479\pi\) | |||||||
\(614\) | 3.28622 | − | 18.6371i | 0.132621 | − | 0.752131i | ||||
\(615\) | −3.02481 | + | 5.23913i | −0.121972 | + | 0.211262i | ||||
\(616\) | 9.09627 | + | 15.7552i | 0.366499 | + | 0.634795i | ||||
\(617\) | 46.3953 | − | 16.8865i | 1.86781 | − | 0.679826i | 0.895995 | − | 0.444065i | \(-0.146464\pi\) |
0.971811 | − | 0.235761i | \(-0.0757583\pi\) | |||||||
\(618\) | −0.00639661 | + | 0.00232818i | −0.000257310 | + | 9.36530e-5i | ||||
\(619\) | −13.2490 | − | 22.9479i | −0.532521 | − | 0.922354i | −0.999279 | − | 0.0379684i | \(-0.987911\pi\) |
0.466758 | − | 0.884385i | \(-0.345422\pi\) | |||||||
\(620\) | 3.01842 | − | 5.22805i | 0.121223 | − | 0.209964i | ||||
\(621\) | 0.929015 | − | 5.26871i | 0.0372801 | − | 0.211426i | ||||
\(622\) | −9.76470 | + | 8.19356i | −0.391529 | + | 0.328532i | ||||
\(623\) | −3.28699 | − | 2.75811i | −0.131690 | − | 0.110501i | ||||
\(624\) | 0.0204777 | + | 0.116135i | 0.000819764 | + | 0.00464911i | ||||
\(625\) | 28.2520 | + | 10.2829i | 1.13008 | + | 0.411315i | ||||
\(626\) | −17.1643 | −0.686022 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.7264 | 0.507838 | ||||||||
\(629\) | −1.30066 | − | 0.473401i | −0.0518607 | − | 0.0188757i | ||||
\(630\) | 1.97431 | + | 11.1969i | 0.0786583 | + | 0.446093i | ||||
\(631\) | 25.5253 | + | 21.4183i | 1.01615 | + | 0.852647i | 0.989138 | − | 0.146988i | \(-0.0469579\pi\) |
0.0270071 | + | 0.999635i | \(0.491402\pi\) | |||||||
\(632\) | 15.1355 | − | 12.7002i | 0.602057 | − | 0.505185i | ||||
\(633\) | 1.35117 | − | 7.66285i | 0.0537041 | − | 0.304571i | ||||
\(634\) | −12.4641 | + | 21.5884i | −0.495013 | + | 0.857387i | ||||
\(635\) | 0.127889 | + | 0.221510i | 0.00507511 | + | 0.00879035i | ||||
\(636\) | −3.74510 | + | 1.36310i | −0.148503 | + | 0.0540506i | ||||
\(637\) | 17.2417 | − | 6.27546i | 0.683141 | − | 0.248643i | ||||
\(638\) | 5.20187 | + | 9.00990i | 0.205944 | + | 0.356705i | ||||
\(639\) | 18.6905 | − | 32.3729i | 0.739384 | − | 1.28065i | ||||
\(640\) | −3.00862 | + | 17.0627i | −0.118926 | + | 0.674463i | ||||
\(641\) | 0.104256 | − | 0.0874810i | 0.00411786 | − | 0.00345529i | −0.640726 | − | 0.767769i | \(-0.721367\pi\) |
0.644844 | + | 0.764314i | \(0.276922\pi\) | |||||||
\(642\) | 1.27403 | + | 1.06904i | 0.0502821 | + | 0.0421917i | ||||
\(643\) | 8.36602 | + | 47.4461i | 0.329924 | + | 1.87109i | 0.472536 | + | 0.881311i | \(0.343339\pi\) |
−0.142613 | + | 0.989779i | \(0.545550\pi\) | |||||||
\(644\) | −3.81016 | − | 1.38678i | −0.150141 | − | 0.0546469i | ||||
\(645\) | 6.46791 | 0.254674 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −36.9718 | −1.45351 | −0.726756 | − | 0.686895i | \(-0.758973\pi\) | ||||
−0.726756 | + | 0.686895i | \(0.758973\pi\) | |||||||
\(648\) | −17.4170 | − | 6.33927i | −0.684204 | − | 0.249030i | ||||
\(649\) | 6.37346 | + | 36.1457i | 0.250180 | + | 1.41884i | ||||
\(650\) | −5.03074 | − | 4.22130i | −0.197322 | − | 0.165573i | ||||
\(651\) | −1.48886 | + | 1.24930i | −0.0583529 | + | 0.0489639i | ||||
\(652\) | 0.430770 | − | 2.44302i | 0.0168702 | − | 0.0956759i | ||||
\(653\) | −13.5000 | + | 23.3827i | −0.528296 | + | 0.915035i | 0.471160 | + | 0.882048i | \(0.343835\pi\) |
−0.999456 | + | 0.0329874i | \(0.989498\pi\) | |||||||
\(654\) | 1.72416 | + | 2.98632i | 0.0674198 | + | 0.116775i | ||||
\(655\) | −7.22580 | + | 2.62998i | −0.282336 | + | 0.102762i | ||||
\(656\) | 0.176747 | − | 0.0643307i | 0.00690081 | − | 0.00251169i | ||||
\(657\) | −10.2121 | − | 17.6879i | −0.398413 | − | 0.690072i | ||||
\(658\) | −0.592396 | + | 1.02606i | −0.0230940 | + | 0.0400000i | ||||
\(659\) | −3.27760 | + | 18.5882i | −0.127677 | + | 0.724093i | 0.852005 | + | 0.523534i | \(0.175387\pi\) |
−0.979682 | + | 0.200559i | \(0.935724\pi\) | |||||||
\(660\) | −4.31908 | + | 3.62414i | −0.168120 | + | 0.141069i | ||||
\(661\) | 23.4500 | + | 19.6769i | 0.912098 | + | 0.765341i | 0.972517 | − | 0.232832i | \(-0.0747993\pi\) |
−0.0604192 | + | 0.998173i | \(0.519244\pi\) | |||||||
\(662\) | −0.261135 | − | 1.48097i | −0.0101493 | − | 0.0575594i | ||||
\(663\) | 4.37211 | + | 1.59132i | 0.169799 | + | 0.0618017i | ||||
\(664\) | 7.12918 | 0.276666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.00093 | 0.0775346 | ||||||||
\(667\) | −5.73143 | − | 2.08607i | −0.221922 | − | 0.0807729i | ||||
\(668\) | −4.95394 | − | 28.0952i | −0.191674 | − | 1.08703i | ||||
\(669\) | −1.22874 | − | 1.03104i | −0.0475059 | − | 0.0398622i | ||||
\(670\) | −24.2422 | + | 20.3416i | −0.936556 | + | 0.785864i | ||||
\(671\) | 2.60014 | − | 14.7461i | 0.100377 | − | 0.569267i | ||||
\(672\) | 2.81908 | − | 4.88279i | 0.108748 | − | 0.188358i | ||||
\(673\) | 5.95471 | + | 10.3139i | 0.229537 | + | 0.397570i | 0.957671 | − | 0.287865i | \(-0.0929454\pi\) |
−0.728134 | + | 0.685435i | \(0.759612\pi\) | |||||||
\(674\) | −21.0214 | + | 7.65117i | −0.809715 | + | 0.294712i | ||||
\(675\) | −4.03462 | + | 1.46848i | −0.155292 | + | 0.0565218i | ||||
\(676\) | 9.19594 | + | 15.9278i | 0.353690 | + | 0.612609i | ||||
\(677\) | 2.89053 | − | 5.00654i | 0.111092 | − | 0.192417i | −0.805119 | − | 0.593114i | \(-0.797898\pi\) |
0.916211 | + | 0.400696i | \(0.131232\pi\) | |||||||
\(678\) | −0.599422 | + | 3.39949i | −0.0230207 | + | 0.130557i | ||||
\(679\) | −2.62449 | + | 2.20220i | −0.100718 | + | 0.0845129i | ||||
\(680\) | −9.09627 | − | 7.63267i | −0.348826 | − | 0.292700i | ||||
\(681\) | −1.26786 | − | 7.19037i | −0.0485843 | − | 0.275535i | ||||
\(682\) | −5.47906 | − | 1.99421i | −0.209804 | − | 0.0763624i | ||||
\(683\) | −21.0496 | −0.805442 | −0.402721 | − | 0.915323i | \(-0.631935\pi\) | ||||
−0.402721 | + | 0.915323i | \(0.631935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −49.4766 | −1.89040 | ||||||||
\(686\) | 16.2570 | + | 5.91707i | 0.620696 | + | 0.225915i | ||||
\(687\) | −0.869833 | − | 4.93307i | −0.0331862 | − | 0.188208i | ||||
\(688\) | −0.154048 | − | 0.129261i | −0.00587302 | − | 0.00492805i | ||||
\(689\) | 24.7481 | − | 20.7661i | 0.942827 | − | 0.791126i | ||||
\(690\) | −0.361844 | + | 2.05212i | −0.0137752 | + | 0.0781229i | ||||
\(691\) | 16.4688 | − | 28.5249i | 0.626504 | − | 1.08514i | −0.361744 | − | 0.932278i | \(-0.617818\pi\) |
0.988248 | − | 0.152860i | \(-0.0488483\pi\) | |||||||
\(692\) | −0.549935 | − | 0.952515i | −0.0209054 | − | 0.0362092i | ||||
\(693\) | −16.3687 | + | 5.95772i | −0.621796 | + | 0.226315i | ||||
\(694\) | 6.36484 | − | 2.31661i | 0.241606 | − | 0.0879374i | ||||
\(695\) | 19.4932 | + | 33.7632i | 0.739419 | + | 1.28071i | ||||
\(696\) | 2.61793 | − | 4.53438i | 0.0992322 | − | 0.171875i | ||||
\(697\) | 1.28864 | − | 7.30823i | 0.0488106 | − | 0.276819i | ||||
\(698\) | −15.3302 | + | 12.8636i | −0.580257 | + | 0.486894i | ||||
\(699\) | 9.85819 | + | 8.27201i | 0.372871 | + | 0.312876i | ||||
\(700\) | 0.565055 | + | 3.20459i | 0.0213571 | + | 0.121122i | ||||
\(701\) | −20.0694 | − | 7.30466i | −0.758010 | − | 0.275893i | −0.0660380 | − | 0.997817i | \(-0.521036\pi\) |
−0.691973 | + | 0.721924i | \(0.743258\pi\) | |||||||
\(702\) | −14.1530 | −0.534171 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 17.2003 | 0.648260 | ||||||||
\(705\) | −0.907604 | − | 0.330341i | −0.0341823 | − | 0.0124414i | ||||
\(706\) | 1.74779 | + | 9.91220i | 0.0657789 | + | 0.373051i | ||||
\(707\) | 11.4042 | + | 9.56926i | 0.428899 | + | 0.359889i | ||||
\(708\) | 5.37939 | − | 4.51384i | 0.202170 | − | 0.169641i | ||||
\(709\) | −2.73854 | + | 15.5310i | −0.102848 | + | 0.583280i | 0.889210 | + | 0.457499i | \(0.151255\pi\) |
−0.992058 | + | 0.125781i | \(0.959856\pi\) | |||||||
\(710\) | −15.3182 | + | 26.5319i | −0.574882 | + | 0.995725i | ||||
\(711\) | 9.45904 | + | 16.3835i | 0.354742 | + | 0.614431i | ||||
\(712\) | −6.08765 | + | 2.21572i | −0.228144 | + | 0.0830377i | ||||
\(713\) | 3.21213 | − | 1.16912i | 0.120295 | − | 0.0437839i | ||||
\(714\) | 0.726682 | + | 1.25865i | 0.0271954 | + | 0.0471038i | ||||
\(715\) | 22.8516 | − | 39.5802i | 0.854603 | − | 1.48022i | ||||
\(716\) | −4.54101 | + | 25.7534i | −0.169706 | + | 0.962448i | ||||
\(717\) | 9.50774 | − | 7.97794i | 0.355073 | − | 0.297942i | ||||
\(718\) | −6.99525 | − | 5.86971i | −0.261060 | − | 0.219056i | ||||
\(719\) | −6.13470 | − | 34.7916i | −0.228786 | − | 1.29751i | −0.855314 | − | 0.518109i | \(-0.826636\pi\) |
0.626529 | − | 0.779398i | \(-0.284475\pi\) | |||||||
\(720\) | 0.270792 | + | 0.0985603i | 0.0100918 | + | 0.00367313i | ||||
\(721\) | −0.0273411 | −0.00101824 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.158385 | 0.00589040 | ||||||||
\(724\) | 18.5577 | + | 6.75444i | 0.689691 | + | 0.251027i | ||||
\(725\) | 0.849985 | + | 4.82050i | 0.0315676 | + | 0.179029i | ||||
\(726\) | 0.228741 | + | 0.191936i | 0.00848937 | + | 0.00712343i | ||||
\(727\) | 30.9647 | − | 25.9825i | 1.14842 | − | 0.963637i | 0.148737 | − | 0.988877i | \(-0.452479\pi\) |
0.999681 | + | 0.0252396i | \(0.00803487\pi\) | |||||||
\(728\) | −4.89945 | + | 27.7862i | −0.181586 | + | 1.02982i | ||||
\(729\) | 6.44562 | − | 11.1641i | 0.238727 | − | 0.413487i | ||||
\(730\) | 8.36959 | + | 14.4965i | 0.309772 | + | 0.536541i | ||||
\(731\) | −7.45558 | + | 2.71361i | −0.275755 | + | 0.100367i | ||||
\(732\) | −2.69207 | + | 0.979832i | −0.0995016 | + | 0.0362156i | ||||
\(733\) | 18.1382 | + | 31.4162i | 0.669948 | + | 1.16038i | 0.977918 | + | 0.208988i | \(0.0670170\pi\) |
−0.307970 | + | 0.951396i | \(0.599650\pi\) | |||||||
\(734\) | −14.3045 | + | 24.7762i | −0.527990 | + | 0.914505i | ||||
\(735\) | −0.811337 | + | 4.60132i | −0.0299266 | + | 0.169722i | ||||
\(736\) | −7.59627 | + | 6.37402i | −0.280002 | + | 0.234950i | ||||
\(737\) | −37.1411 | − | 31.1651i | −1.36811 | − | 1.14798i | ||||
\(738\) | 1.86288 | + | 10.5649i | 0.0685737 | + | 0.388901i | ||||
\(739\) | 19.4290 | + | 7.07158i | 0.714708 | + | 0.260132i | 0.673677 | − | 0.739026i | \(-0.264714\pi\) |
0.0410304 | + | 0.999158i | \(0.486936\pi\) | |||||||
\(740\) | 2.60132 | 0.0956264 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.0915 | 0.370471 | ||||||||
\(743\) | 6.29978 | + | 2.29293i | 0.231117 | + | 0.0841196i | 0.454982 | − | 0.890500i | \(-0.349646\pi\) |
−0.223866 | + | 0.974620i | \(0.571868\pi\) | |||||||
\(744\) | 0.509552 | + | 2.88981i | 0.0186811 | + | 0.105946i | ||||
\(745\) | 7.30587 | + | 6.13036i | 0.267667 | + | 0.224599i | ||||
\(746\) | 20.5367 | − | 17.2323i | 0.751901 | − | 0.630920i | ||||
\(747\) | −1.18535 | + | 6.72243i | −0.0433695 | + | 0.245961i | ||||
\(748\) | 3.45811 | − | 5.98962i | 0.126441 | − | 0.219002i | ||||
\(749\) | 3.34002 | + | 5.78509i | 0.122042 | + | 0.211383i | ||||
\(750\) | −3.99525 | + | 1.45415i | −0.145886 | + | 0.0530982i | ||||
\(751\) | 10.0617 | − | 3.66214i | 0.367155 | − | 0.133633i | −0.151853 | − | 0.988403i | \(-0.548524\pi\) |
0.519007 | + | 0.854770i | \(0.326302\pi\) | |||||||
\(752\) | 0.0150147 | + | 0.0260063i | 0.000547531 | + | 0.000948352i | ||||
\(753\) | −4.30928 | + | 7.46389i | −0.157039 | + | 0.271999i | ||||
\(754\) | −2.80184 | + | 15.8900i | −0.102037 | + | 0.578681i | ||||
\(755\) | −28.3123 | + | 23.7568i | −1.03039 | + | 0.864599i | ||||
\(756\) | 5.37211 | + | 4.50774i | 0.195382 | + | 0.163945i | ||||
\(757\) | −0.705432 | − | 4.00071i | −0.0256394 | − | 0.145408i | 0.969301 | − | 0.245878i | \(-0.0790764\pi\) |
−0.994940 | + | 0.100470i | \(0.967965\pi\) | |||||||
\(758\) | −14.7585 | − | 5.37164i | −0.536052 | − | 0.195107i | ||||
\(759\) | −3.19253 | −0.115882 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.0077 | −0.399030 | −0.199515 | − | 0.979895i | \(-0.563937\pi\) | ||||
−0.199515 | + | 0.979895i | \(0.563937\pi\) | |||||||
\(762\) | −0.0444153 | − | 0.0161658i | −0.00160900 | − | 0.000585627i | ||||
\(763\) | 2.40508 | + | 13.6399i | 0.0870697 | + | 0.493797i | ||||
\(764\) | −17.8059 | − | 14.9409i | −0.644194 | − | 0.540543i | ||||
\(765\) | 8.70961 | − | 7.30823i | 0.314897 | − | 0.264230i | ||||
\(766\) | −3.58182 | + | 20.3135i | −0.129417 | + | 0.733958i | ||||
\(767\) | −28.4616 | + | 49.2969i | −1.02769 | + | 1.78001i | ||||
\(768\) | −4.28359 | − | 7.41939i | −0.154571 | − | 0.267724i | ||||
\(769\) | −20.0599 | + | 7.30121i | −0.723378 | + | 0.263288i | −0.677359 | − | 0.735652i | \(-0.736876\pi\) |
−0.0460191 | + | 0.998941i | \(0.514654\pi\) | |||||||
\(770\) | 13.4153 | − | 4.88279i | 0.483455 | − | 0.175963i | ||||
\(771\) | −4.08512 | − | 7.07564i | −0.147122 | − | 0.254823i | ||||
\(772\) | −7.91312 | + | 13.7059i | −0.284800 | + | 0.493287i | ||||
\(773\) | −3.11128 | + | 17.6450i | −0.111905 | + | 0.634645i | 0.876331 | + | 0.481709i | \(0.159984\pi\) |
−0.988236 | + | 0.152936i | \(0.951127\pi\) | |||||||
\(774\) | 8.78627 | − | 7.37256i | 0.315816 | − | 0.265001i | ||||
\(775\) | −2.10148 | − | 1.76335i | −0.0754874 | − | 0.0633415i | ||||
\(776\) | 0.898214 | + | 5.09403i | 0.0322440 | + | 0.182865i | ||||
\(777\) | −0.786989 | − | 0.286441i | −0.0282331 | − | 0.0102760i | ||||
\(778\) | −3.43788 | −0.123254 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.74422 | −0.313093 | ||||||||
\(781\) | −44.1070 | − | 16.0536i | −1.57827 | − | 0.574444i | ||||
\(782\) | −0.443868 | − | 2.51730i | −0.0158727 | − | 0.0900184i | ||||
\(783\) | 8.08100 | + | 6.78077i | 0.288792 | + | 0.242325i | ||||
\(784\) | 0.111281 | − | 0.0933762i | 0.00397434 | − | 0.00333486i | ||||
\(785\) | 4.56165 | − | 25.8704i | 0.162812 | − | 0.923355i | ||||
\(786\) | 0.710485 | − | 1.23060i | 0.0253422 | − | 0.0438939i | ||||
\(787\) | 24.4158 | + | 42.2894i | 0.870330 | + | 1.50746i | 0.861656 | + | 0.507493i | \(0.169428\pi\) |
0.00867371 | + | 0.999962i | \(0.497239\pi\) | |||||||
\(788\) | −26.7430 | + | 9.73367i | −0.952681 | + | 0.346748i | ||||
\(789\) | 4.82160 | − | 1.75492i | 0.171654 | − | 0.0624768i | ||||
\(790\) | −7.75237 | − | 13.4275i | −0.275817 | − | 0.477729i | ||||
\(791\) | −6.93242 | + | 12.0073i | −0.246488 | + | 0.426930i | ||||
\(792\) | −4.56687 | + | 25.9000i | −0.162277 | + | 0.920316i | ||||
\(793\) | 17.7895 | − | 14.9272i | 0.631724 | − | 0.530080i | ||||
\(794\) | −6.03524 | − | 5.06417i | −0.214183 | − | 0.179721i | ||||
\(795\) | 1.42855 | + | 8.10170i | 0.0506654 | + | 0.287338i | ||||
\(796\) | 10.6298 | + | 3.86893i | 0.376763 | + | 0.137131i | ||||
\(797\) | 28.5262 | 1.01045 | 0.505225 | − | 0.862988i | \(-0.331409\pi\) | ||||
0.505225 | + | 0.862988i | \(0.331409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.18479 | 0.0419149 | ||||||||
\(800\) | 7.47818 | + | 2.72183i | 0.264394 | + | 0.0962314i | ||||
\(801\) | −1.07713 | − | 6.10873i | −0.0380586 | − | 0.215841i | ||||
\(802\) | −1.36571 | − | 1.14597i | −0.0482251 | − | 0.0404656i | ||||
\(803\) | −19.6459 | + | 16.4849i | −0.693289 | + | 0.581738i | ||||
\(804\) | −1.61081 | + | 9.13538i | −0.0568091 | + | 0.322180i | ||||
\(805\) | −4.18479 | + | 7.24827i | −0.147495 | + | 0.255468i | ||||
\(806\) | −4.52141 | − | 7.83131i | −0.159260 | − | 0.275846i | ||||
\(807\) | 9.13950 | − | 3.32651i | 0.321726 | − | 0.117099i | ||||
\(808\) | 21.1211 | − | 7.68745i | 0.743037 | − | 0.270443i | ||||
\(809\) | 7.41834 | + | 12.8489i | 0.260815 | + | 0.451745i | 0.966459 | − | 0.256822i | \(-0.0826755\pi\) |
−0.705644 | + | 0.708567i | \(0.749342\pi\) | |||||||
\(810\) | −7.27244 | + | 12.5962i | −0.255528 | + | 0.442587i | ||||
\(811\) | 1.45471 | − | 8.25006i | 0.0510817 | − | 0.289699i | −0.948556 | − | 0.316609i | \(-0.897456\pi\) |
0.999638 | + | 0.0269103i | \(0.00856684\pi\) | |||||||
\(812\) | 6.12449 | − | 5.13905i | 0.214927 | − | 0.180345i | ||||
\(813\) | −7.72984 | − | 6.48610i | −0.271097 | − | 0.227478i | ||||
\(814\) | −0.436289 | − | 2.47432i | −0.0152919 | − | 0.0867248i | ||||
\(815\) | −4.81180 | − | 1.75135i | −0.168550 | − | 0.0613472i | ||||
\(816\) | 0.0368366 | 0.00128954 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −28.3233 | −0.990299 | ||||||||
\(819\) | −25.3862 | − | 9.23984i | −0.887067 | − | 0.322866i | ||||
\(820\) | 2.42185 | + | 13.7350i | 0.0845746 | + | 0.479646i | ||||
\(821\) | 4.80999 | + | 4.03606i | 0.167870 | + | 0.140860i | 0.722852 | − | 0.691002i | \(-0.242831\pi\) |
−0.554983 | + | 0.831862i | \(0.687275\pi\) | |||||||
\(822\) | 7.00387 | − | 5.87695i | 0.244288 | − | 0.204982i | ||||
\(823\) | 1.91472 | − | 10.8589i | 0.0667428 | − | 0.378517i | −0.933080 | − | 0.359670i | \(-0.882889\pi\) |
0.999822 | − | 0.0188472i | \(-0.00599961\pi\) | |||||||
\(824\) | −0.0206398 | + | 0.0357492i | −0.000719023 | + | 0.00124538i | ||||
\(825\) | 1.28106 | + | 2.21886i | 0.0446008 | + | 0.0772508i | ||||
\(826\) | −16.7087 | + | 6.08148i | −0.581371 | + | 0.211602i | ||||
\(827\) | 31.8892 | − | 11.6067i | 1.10890 | − | 0.403606i | 0.278309 | − | 0.960492i | \(-0.410226\pi\) |
0.830589 | + | 0.556886i | \(0.188004\pi\) | |||||||
\(828\) | −2.93077 | − | 5.07624i | −0.101851 | − | 0.176412i | ||||
\(829\) | −10.1834 | + | 17.6382i | −0.353686 | + | 0.612602i | −0.986892 | − | 0.161381i | \(-0.948405\pi\) |
0.633206 | + | 0.773983i | \(0.281738\pi\) | |||||||
\(830\) | 0.971477 | − | 5.50952i | 0.0337205 | − | 0.191238i | ||||
\(831\) | −5.61019 | + | 4.70750i | −0.194615 | + | 0.163302i | ||||
\(832\) | 20.4349 | + | 17.1470i | 0.708454 | + | 0.594464i | ||||
\(833\) | −0.995252 | − | 5.64436i | −0.0344834 | − | 0.195565i | ||||
\(834\) | −6.76991 | − | 2.46405i | −0.234423 | − | 0.0853230i | ||||
\(835\) | −58.8881 | −2.03791 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.91210 | −0.204352 | ||||||||
\(838\) | −19.2126 | − | 6.99281i | −0.663688 | − | 0.241563i | ||||
\(839\) | −2.74526 | − | 15.5692i | −0.0947770 | − | 0.537507i | −0.994815 | − | 0.101697i | \(-0.967573\pi\) |
0.900038 | − | 0.435810i | \(-0.143538\pi\) | |||||||
\(840\) | −5.50387 | − | 4.61830i | −0.189902 | − | 0.159346i | ||||
\(841\) | −13.0025 | + | 10.9104i | −0.448363 | + | 0.376221i | ||||
\(842\) | 0.985452 | − | 5.58878i | 0.0339609 | − | 0.192602i | ||||
\(843\) | −3.48814 | + | 6.04164i | −0.120138 | + | 0.208085i | ||||
\(844\) | −8.96926 | − | 15.5352i | −0.308734 | − | 0.534744i | ||||
\(845\) | 35.6746 | − | 12.9845i | 1.22724 | − | 0.446680i | ||||
\(846\) | −1.60947 | + | 0.585799i | −0.0553347 | + | 0.0201402i | ||||
\(847\) | 0.599670 | + | 1.03866i | 0.0206049 | + | 0.0356888i | ||||
\(848\) | 0.127889 | − | 0.221510i | 0.00439172 | − | 0.00760668i | ||||
\(849\) | 1.60560 | − | 9.10581i | 0.0551040 | − | 0.312511i | ||||
\(850\) | −1.57145 | + | 1.31860i | −0.0539003 | + | 0.0452278i | ||||
\(851\) | 1.12836 | + | 0.946803i | 0.0386795 | + | 0.0324560i | ||||
\(852\) | 1.55943 | + | 8.84397i | 0.0534252 | + | 0.302989i | ||||
\(853\) | 49.4741 | + | 18.0071i | 1.69396 | + | 0.616551i | 0.995115 | − | 0.0987227i | \(-0.0314757\pi\) |
0.698845 | + | 0.715274i | \(0.253698\pi\) | |||||||
\(854\) | 7.25402 | 0.248228 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0855 | 0.344716 | ||||||||
\(857\) | −21.6386 | − | 7.87581i | −0.739161 | − | 0.269033i | −0.0551238 | − | 0.998480i | \(-0.517555\pi\) |
−0.684038 | + | 0.729447i | \(0.739778\pi\) | |||||||
\(858\) | 1.46657 | + | 8.31731i | 0.0500678 | + | 0.283948i | ||||
\(859\) | 6.82501 | + | 5.72686i | 0.232866 | + | 0.195398i | 0.751753 | − | 0.659445i | \(-0.229209\pi\) |
−0.518886 | + | 0.854843i | \(0.673653\pi\) | |||||||
\(860\) | 11.4226 | − | 9.58471i | 0.389508 | − | 0.326836i | ||||
\(861\) | 0.779715 | − | 4.42198i | 0.0265726 | − | 0.150701i | ||||
\(862\) | 6.15451 | − | 10.6599i | 0.209624 | − | 0.363079i | ||||
\(863\) | 14.8849 | + | 25.7814i | 0.506688 | + | 0.877609i | 0.999970 | + | 0.00773998i | \(0.00246374\pi\) |
−0.493282 | + | 0.869869i | \(0.664203\pi\) | |||||||
\(864\) | 16.1163 | − | 5.86587i | 0.548289 | − | 0.199561i | ||||
\(865\) | −2.13341 | + | 0.776497i | −0.0725380 | + | 0.0264017i | ||||
\(866\) | 12.6160 | + | 21.8516i | 0.428710 | + | 0.742548i | ||||
\(867\) | −3.79607 | + | 6.57499i | −0.128921 | + | 0.223298i | ||||
\(868\) | −0.778066 | + | 4.41263i | −0.0264093 | + | 0.149775i | ||||
\(869\) | 18.1971 | − | 15.2692i | 0.617295 | − | 0.517972i | ||||
\(870\) | −3.14749 | − | 2.64106i | −0.106710 | − | 0.0895402i | ||||
\(871\) | −13.0574 | − | 74.0520i | −0.442432 | − | 2.50916i | ||||
\(872\) | 19.6501 | + | 7.15204i | 0.665435 | + | 0.242199i | ||||
\(873\) | −4.95273 | −0.167625 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −17.0770 | −0.577307 | ||||||||
\(876\) | 4.61081 | + | 1.67820i | 0.155785 | + | 0.0567011i | ||||
\(877\) | 4.34642 | + | 24.6498i | 0.146768 | + | 0.832363i | 0.965930 | + | 0.258802i | \(0.0833276\pi\) |
−0.819162 | + | 0.573562i | \(0.805561\pi\) | |||||||
\(878\) | −8.98798 | − | 7.54181i | −0.303330 | − | 0.254524i | ||||
\(879\) | 6.36025 | − | 5.33688i | 0.214526 | − | 0.180009i | ||||
\(880\) | 0.0628336 | − | 0.356347i | 0.00211812 | − | 0.0120125i | ||||
\(881\) | −10.1980 | + | 17.6634i | −0.343579 | + | 0.595097i | −0.985095 | − | 0.172014i | \(-0.944973\pi\) |
0.641515 | + | 0.767110i | \(0.278306\pi\) | |||||||
\(882\) | 4.14274 | + | 7.17544i | 0.139493 | + | 0.241610i | ||||
\(883\) | 9.98710 | − | 3.63501i | 0.336093 | − | 0.122328i | −0.168460 | − | 0.985708i | \(-0.553880\pi\) |
0.504553 | + | 0.863381i | \(0.331657\pi\) | |||||||
\(884\) | 10.0795 | − | 3.66864i | 0.339010 | − | 0.123390i | ||||
\(885\) | −7.24763 | − | 12.5533i | −0.243626 | − | 0.421973i | ||||
\(886\) | 14.8981 | − | 25.8043i | 0.500512 | − | 0.866912i | ||||
\(887\) | 9.78312 | − | 55.4828i | 0.328485 | − | 1.86293i | −0.155474 | − | 0.987840i | \(-0.549690\pi\) |
0.483959 | − | 0.875091i | \(-0.339198\pi\) | |||||||
\(888\) | −0.968626 | + | 0.812774i | −0.0325050 | + | 0.0272749i | ||||
\(889\) | −0.145430 | − | 0.122030i | −0.00487756 | − | 0.00409275i | ||||
\(890\) | 0.882789 | + | 5.00654i | 0.0295911 | + | 0.167820i | ||||
\(891\) | −20.9402 | − | 7.62159i | −0.701522 | − | 0.255333i | ||||
\(892\) | −3.69789 | −0.123815 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −1.76239 | −0.0589432 | ||||||||
\(895\) | 50.7242 | + | 18.4621i | 1.69552 | + | 0.617120i | ||||
\(896\) | −2.23308 | − | 12.6644i | −0.0746019 | − | 0.423088i | ||||
\(897\) | −3.79292 | − | 3.18264i | −0.126642 | − | 0.106265i | ||||
\(898\) | 12.6917 | − | 10.6496i | 0.423526 | − | 0.355381i | ||||
\(899\) | −1.17041 | + | 6.63771i | −0.0390353 | + | 0.221380i | ||||
\(900\) | −2.35204 | + | 4.07386i | −0.0784015 | + | 0.135795i | ||||
\(901\) | −5.04576 | − | 8.73951i | −0.168099 | − | 0.291155i | ||||
\(902\) | 12.6582 | − | 4.60722i | 0.421473 | − | 0.153404i | ||||
\(903\) | −4.51114 | + | 1.64192i | −0.150121 | + | 0.0546398i | ||||
\(904\) | 10.4666 | + | 18.1286i | 0.348113 | + | 0.602949i | ||||
\(905\) | 20.3824 | − | 35.3033i | 0.677533 | − | 1.17352i | ||||
\(906\) | 1.18597 | − | 6.72600i | 0.0394014 | − | 0.223456i | ||||
\(907\) | 4.53777 | − | 3.80764i | 0.150674 | − | 0.126431i | −0.564334 | − | 0.825546i | \(-0.690867\pi\) |
0.715009 | + | 0.699116i | \(0.246423\pi\) | |||||||
\(908\) | −12.8944 | − | 10.8197i | −0.427916 | − | 0.359064i | ||||
\(909\) | 3.73711 | + | 21.1942i | 0.123952 | + | 0.702968i | ||||
\(910\) | 20.8059 | + | 7.57272i | 0.689708 | + | 0.251033i | ||||
\(911\) | 34.0591 | 1.12843 | 0.564215 | − | 0.825628i | \(-0.309179\pi\) | ||||
0.564215 | + | 0.825628i | \(0.309179\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.57129 | 0.283668 | ||||||||
\(914\) | 11.7995 | + | 4.29466i | 0.390292 | + | 0.142055i | ||||
\(915\) | 1.02687 | + | 5.82369i | 0.0339474 | + | 0.192525i | ||||
\(916\) | −8.84642 | − | 7.42303i | −0.292294 | − | 0.245264i | ||||
\(917\) | 4.37211 | − | 3.66864i | 0.144380 | − | 0.121149i | ||||
\(918\) | −0.767693 | + | 4.35381i | −0.0253377 | + | 0.143697i | ||||
\(919\) | 3.13697 | − | 5.43340i | 0.103479 | − | 0.179231i | −0.809637 | − | 0.586931i | \(-0.800336\pi\) |
0.913116 | + | 0.407700i | \(0.133669\pi\) | |||||||
\(920\) | 6.31820 | + | 10.9434i | 0.208305 | + | 0.360795i | ||||
\(921\) | −10.7601 | + | 3.91636i | −0.354558 | + | 0.129048i | ||||
\(922\) | −11.5095 | + | 4.18911i | −0.379045 | + | 0.137961i | ||||
\(923\) | −36.3979 | − | 63.0429i | −1.19805 | − | 2.07508i | ||||
\(924\) | 2.09240 | − | 3.62414i | 0.0688348 | − | 0.119225i | ||||
\(925\) | 0.205270 | − | 1.16415i | 0.00674924 | − | 0.0382769i | ||||
\(926\) | 1.18757 | − | 0.996487i | 0.0390259 | − | 0.0327466i | ||||
\(927\) | −0.0302779 | − | 0.0254062i | −0.000994456 | − | 0.000834448i | ||||
\(928\) | −3.39528 | − | 19.2556i | −0.111455 | − | 0.632095i | ||||
\(929\) | −26.6152 | − | 9.68712i | −0.873215 | − | 0.317824i | −0.133747 | − | 0.991016i | \(-0.542701\pi\) |
−0.739468 | + | 0.673191i | \(0.764923\pi\) | |||||||
\(930\) | 2.30272 | 0.0755091 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 29.6682 | 0.971814 | ||||||||
\(933\) | 7.24763 | + | 2.63792i | 0.237277 | + | 0.0863616i | ||||
\(934\) | −3.36588 | − | 19.0888i | −0.110135 | − | 0.624606i | ||||
\(935\) | −10.9363 | − | 9.17664i | −0.357655 | − | 0.300108i | ||||
\(936\) | −31.2454 | + | 26.2180i | −1.02129 | + | 0.856962i | ||||
\(937\) | −3.48545 | + | 19.7670i | −0.113865 | + | 0.645759i | 0.873441 | + | 0.486930i | \(0.161883\pi\) |
−0.987306 | + | 0.158830i | \(0.949228\pi\) | |||||||
\(938\) | 11.7442 | − | 20.3416i | 0.383462 | − | 0.664176i | ||||
\(939\) | 5.19278 | + | 8.99416i | 0.169460 | + | 0.293513i | ||||
\(940\) | −2.09240 | + | 0.761570i | −0.0682464 | + | 0.0248397i | ||||
\(941\) | 5.06980 | − | 1.84526i | 0.165271 | − | 0.0601537i | −0.258060 | − | 0.966129i | \(-0.583083\pi\) |
0.423331 | + | 0.905975i | \(0.360861\pi\) | |||||||
\(942\) | 2.42720 | + | 4.20404i | 0.0790826 | + | 0.136975i | ||||
\(943\) | −3.94862 | + | 6.83920i | −0.128585 | + | 0.222715i | ||||
\(944\) | −0.0782589 | + | 0.443828i | −0.00254711 | + | 0.0144454i | ||||
\(945\) | 11.0890 | − | 9.30477i | 0.360725 | − | 0.302684i | ||||
\(946\) | −11.0326 | − | 9.25741i | −0.358699 | − | 0.300984i | ||||
\(947\) | 1.15358 | + | 6.54228i | 0.0374863 | + | 0.212596i | 0.997797 | − | 0.0663359i | \(-0.0211309\pi\) |
−0.960311 | + | 0.278931i | \(0.910020\pi\) | |||||||
\(948\) | −4.27079 | − | 1.55444i | −0.138709 | − | 0.0504859i | ||||
\(949\) | −39.7743 | −1.29113 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.0833 | 0.489109 | ||||||||
\(952\) | 8.28194 | + | 3.01438i | 0.268419 | + | 0.0976966i | ||||
\(953\) | 2.57414 | + | 14.5987i | 0.0833846 | + | 0.472897i | 0.997693 | + | 0.0678799i | \(0.0216235\pi\) |
−0.914309 | + | 0.405018i | \(0.867265\pi\) | |||||||
\(954\) | 11.1755 | + | 9.37732i | 0.361819 | + | 0.303602i | ||||
\(955\) | −36.7545 | + | 30.8407i | −1.18935 | + | 0.997981i | ||||
\(956\) | 4.96868 | − | 28.1788i | 0.160699 | − | 0.911368i | ||||
\(957\) | 3.14749 | − | 5.45161i | 0.101744 | − | 0.176226i | ||||
\(958\) | −11.1932 | − | 19.3873i | −0.361637 | − | 0.626374i | ||||
\(959\) | 34.5082 | − | 12.5600i | 1.11433 | − | 0.405582i | ||||
\(960\) | −6.38326 | + | 2.32332i | −0.206019 | + | 0.0749847i | ||||
\(961\) | 13.6113 | + | 23.5754i | 0.439074 | + | 0.760498i | ||||
\(962\) | 1.94831 | − | 3.37457i | 0.0628161 | − | 0.108801i | ||||
\(963\) | −1.67689 | + | 9.51011i | −0.0540370 | + | 0.306459i | ||||
\(964\) | 0.279715 | − | 0.234709i | 0.00900901 | − | 0.00755946i | ||||
\(965\) | 25.0253 | + | 20.9987i | 0.805592 | + | 0.675972i | ||||
\(966\) | −0.268571 | − | 1.52314i | −0.00864112 | − | 0.0490062i | ||||
\(967\) | −19.9418 | − | 7.25822i | −0.641285 | − | 0.233409i | 0.000850519 | − | 1.00000i | \(-0.499729\pi\) |
−0.642136 | + | 0.766591i | \(0.721951\pi\) | |||||||
\(968\) | 1.81076 | 0.0582002 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.05913 | 0.130331 | ||||||||
\(971\) | −35.3387 | − | 12.8622i | −1.13407 | − | 0.412769i | −0.294304 | − | 0.955712i | \(-0.595088\pi\) |
−0.839770 | + | 0.542943i | \(0.817310\pi\) | |||||||
\(972\) | 2.68422 | + | 15.2230i | 0.0860964 | + | 0.488277i | ||||
\(973\) | −22.1668 | − | 18.6002i | −0.710636 | − | 0.596295i | ||||
\(974\) | −15.1643 | + | 12.7244i | −0.485896 | + | 0.407715i | ||||
\(975\) | −0.690007 | + | 3.91322i | −0.0220979 | + | 0.125323i | ||||
\(976\) | 0.0919294 | − | 0.159226i | 0.00294259 | − | 0.00509671i | ||||
\(977\) | −23.0107 | − | 39.8558i | −0.736179 | − | 1.27510i | −0.954204 | − | 0.299156i | \(-0.903295\pi\) |
0.218026 | − | 0.975943i | \(-0.430038\pi\) | |||||||
\(978\) | 0.889185 | − | 0.323637i | 0.0284330 | − | 0.0103488i | ||||
\(979\) | −7.31908 | + | 2.66393i | −0.233919 | + | 0.0851395i | ||||
\(980\) | 5.38578 | + | 9.32845i | 0.172042 | + | 0.297986i | ||||
\(981\) | −10.0111 | + | 17.3398i | −0.319631 | + | 0.553618i | ||||
\(982\) | −2.38737 | + | 13.5395i | −0.0761842 | + | 0.432062i | ||||
\(983\) | −46.4195 | + | 38.9506i | −1.48055 | + | 1.24233i | −0.574961 | + | 0.818181i | \(0.694983\pi\) |
−0.905592 | + | 0.424150i | \(0.860573\pi\) | |||||||
\(984\) | −5.19325 | − | 4.35765i | −0.165555 | − | 0.138917i | ||||
\(985\) | 10.2010 | + | 57.8527i | 0.325031 | + | 1.84334i | ||||
\(986\) | 4.73618 | + | 1.72383i | 0.150831 | + | 0.0548979i | ||||
\(987\) | 0.716881 | 0.0228186 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.44326 | 0.268480 | ||||||||
\(990\) | 19.3935 | + | 7.05866i | 0.616367 | + | 0.224339i | ||||
\(991\) | −7.27554 | − | 41.2616i | −0.231115 | − | 1.31072i | −0.850643 | − | 0.525744i | \(-0.823787\pi\) |
0.619528 | − | 0.784975i | \(-0.287324\pi\) | |||||||
\(992\) | 8.39440 | + | 7.04374i | 0.266522 | + | 0.223639i | ||||
\(993\) | −0.697033 | + | 0.584880i | −0.0221197 | + | 0.0185606i | ||||
\(994\) | 3.94862 | − | 22.3937i | 0.125242 | − | 0.710285i | ||||
\(995\) | 11.6750 | − | 20.2217i | 0.370122 | − | 0.641070i | ||||
\(996\) | −0.819955 | − | 1.42020i | −0.0259813 | − | 0.0450009i | ||||
\(997\) | −31.6819 | + | 11.5313i | −1.00337 | + | 0.365198i | −0.790885 | − | 0.611965i | \(-0.790379\pi\) |
−0.212490 | + | 0.977163i | \(0.568157\pi\) | |||||||
\(998\) | −23.6475 | + | 8.60700i | −0.748550 | + | 0.272450i | ||||
\(999\) | −1.27379 | − | 2.20626i | −0.0403008 | − | 0.0698030i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))