Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [256,2,Mod(5,256)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(256, base_ring=CyclotomicField(64))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("256.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 256 = 2^{8} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 256.m (of order \(64\), degree \(32\), 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: | \(2.04417029174\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{64})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{64}]$ |
Embedding invariants
Embedding label | 101.29 | ||
Character | \(\chi\) | \(=\) | 256.101 |
Dual form | 256.2.m.a.109.29 |
$q$-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 \(\left(\mathbb{Z}/256\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(255\) |
\(\chi(n)\) | \(e\left(\frac{9}{64}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35577 | − | 0.402339i | 0.958677 | − | 0.284496i | ||||
\(3\) | 1.68530 | − | 0.422145i | 0.973006 | − | 0.243725i | 0.276291 | − | 0.961074i | \(-0.410895\pi\) |
0.696714 | + | 0.717349i | \(0.254645\pi\) | |||||||
\(4\) | 1.67625 | − | 1.09096i | 0.838124 | − | 0.545480i | ||||
\(5\) | −2.39151 | − | 1.13110i | −1.06951 | − | 0.505842i | −0.190033 | − | 0.981778i | \(-0.560860\pi\) |
−0.879480 | + | 0.475935i | \(0.842110\pi\) | |||||||
\(6\) | 2.11503 | − | 1.25039i | 0.863459 | − | 0.510470i | ||||
\(7\) | 0.208482 | + | 0.687274i | 0.0787989 | + | 0.259765i | 0.987485 | − | 0.157716i | \(-0.0504130\pi\) |
−0.908686 | + | 0.417481i | \(0.862913\pi\) | |||||||
\(8\) | 1.83368 | − | 2.15352i | 0.648303 | − | 0.761383i | ||||
\(9\) | 0.0162507 | − | 0.00868620i | 0.00541691 | − | 0.00289540i | ||||
\(10\) | −3.69743 | − | 0.571318i | −1.16923 | − | 0.180667i | ||||
\(11\) | 1.17974 | − | 0.174997i | 0.355704 | − | 0.0527637i | 0.0335126 | − | 0.999438i | \(-0.489331\pi\) |
0.322191 | + | 0.946675i | \(0.395581\pi\) | |||||||
\(12\) | 2.36443 | − | 2.54621i | 0.682552 | − | 0.735027i | ||||
\(13\) | −1.23067 | + | 3.43948i | −0.341325 | + | 0.953941i | 0.641128 | + | 0.767434i | \(0.278467\pi\) |
−0.982454 | + | 0.186507i | \(0.940283\pi\) | |||||||
\(14\) | 0.559172 | + | 0.847908i | 0.149445 | + | 0.226613i | ||||
\(15\) | −4.50788 | − | 0.896673i | −1.16393 | − | 0.231520i | ||||
\(16\) | 1.61961 | − | 3.65744i | 0.404902 | − | 0.914360i | ||||
\(17\) | −0.537376 | + | 0.106891i | −0.130333 | + | 0.0259248i | −0.259826 | − | 0.965656i | \(-0.583665\pi\) |
0.129493 | + | 0.991580i | \(0.458665\pi\) | |||||||
\(18\) | 0.0185375 | − | 0.0183148i | 0.00436934 | − | 0.00431684i | ||||
\(19\) | 4.13592 | + | 3.74858i | 0.948844 | + | 0.859982i | 0.990270 | − | 0.139159i | \(-0.0444400\pi\) |
−0.0414257 | + | 0.999142i | \(0.513190\pi\) | |||||||
\(20\) | −5.24274 | + | 0.713039i | −1.17231 | + | 0.159440i | ||||
\(21\) | 0.641483 | + | 1.07025i | 0.139983 | + | 0.233548i | ||||
\(22\) | 1.52905 | − | 0.711910i | 0.325994 | − | 0.151780i | ||||
\(23\) | −4.28702 | + | 0.422235i | −0.893906 | + | 0.0880421i | −0.534529 | − | 0.845150i | \(-0.679511\pi\) |
−0.359377 | + | 0.933192i | \(0.617011\pi\) | |||||||
\(24\) | 2.18119 | − | 4.40339i | 0.445234 | − | 0.898837i | ||||
\(25\) | 1.26795 | + | 1.54500i | 0.253590 | + | 0.309000i | ||||
\(26\) | −0.284669 | + | 5.15831i | −0.0558282 | + | 1.01163i | ||||
\(27\) | −3.83818 | + | 3.47872i | −0.738658 | + | 0.669481i | ||||
\(28\) | 1.09926 | + | 0.924595i | 0.207740 | + | 0.174732i | ||||
\(29\) | 2.12192 | + | 2.86108i | 0.394031 | + | 0.531289i | 0.955023 | − | 0.296532i | \(-0.0958302\pi\) |
−0.560992 | + | 0.827821i | \(0.689580\pi\) | |||||||
\(30\) | −6.47243 | + | 0.598008i | −1.18170 | + | 0.109181i | ||||
\(31\) | −2.95256 | − | 1.22299i | −0.530296 | − | 0.219656i | 0.101437 | − | 0.994842i | \(-0.467656\pi\) |
−0.631733 | + | 0.775186i | \(0.717656\pi\) | |||||||
\(32\) | 0.724295 | − | 5.61029i | 0.128039 | − | 0.991769i | ||||
\(33\) | 1.91433 | − | 0.792941i | 0.333242 | − | 0.138033i | ||||
\(34\) | −0.685554 | + | 0.361127i | −0.117572 | + | 0.0619327i | ||||
\(35\) | 0.278788 | − | 1.87943i | 0.0471237 | − | 0.317682i | ||||
\(36\) | 0.0177639 | − | 0.0322891i | 0.00296066 | − | 0.00538152i | ||||
\(37\) | −0.0770981 | + | 1.56937i | −0.0126749 | + | 0.258003i | 0.984092 | + | 0.177658i | \(0.0568521\pi\) |
−0.996767 | + | 0.0803446i | \(0.974398\pi\) | |||||||
\(38\) | 7.11557 | + | 3.41818i | 1.15430 | + | 0.554503i | ||||
\(39\) | −0.622078 | + | 6.31606i | −0.0996122 | + | 1.01138i | ||||
\(40\) | −6.82109 | + | 3.07608i | −1.07851 | + | 0.486370i | ||||
\(41\) | 3.14596 | − | 3.83337i | 0.491317 | − | 0.598672i | −0.467043 | − | 0.884235i | \(-0.654681\pi\) |
0.958360 | + | 0.285563i | \(0.0921806\pi\) | |||||||
\(42\) | 1.30031 | + | 1.19292i | 0.200642 | + | 0.184072i | ||||
\(43\) | −0.0455819 | + | 0.181973i | −0.00695118 | + | 0.0277506i | −0.973408 | − | 0.229080i | \(-0.926428\pi\) |
0.966456 | + | 0.256831i | \(0.0826783\pi\) | |||||||
\(44\) | 1.78661 | − | 1.58038i | 0.269342 | − | 0.238252i | ||||
\(45\) | −0.0486887 | + | 0.00239192i | −0.00725808 | + | 0.000356566i | ||||
\(46\) | −5.64235 | + | 2.29729i | −0.831920 | + | 0.338717i | ||||
\(47\) | −7.82385 | − | 5.22773i | −1.14123 | − | 0.762543i | −0.166521 | − | 0.986038i | \(-0.553253\pi\) |
−0.974705 | + | 0.223495i | \(0.928253\pi\) | |||||||
\(48\) | 1.18555 | − | 6.84758i | 0.171120 | − | 0.988362i | ||||
\(49\) | 5.39141 | − | 3.60242i | 0.770201 | − | 0.514632i | ||||
\(50\) | 2.34067 | + | 1.58453i | 0.331020 | + | 0.224086i | ||||
\(51\) | −0.860514 | + | 0.406993i | −0.120496 | + | 0.0569904i | ||||
\(52\) | 1.68944 | + | 7.10803i | 0.234283 | + | 0.985706i | ||||
\(53\) | 7.14557 | − | 9.63469i | 0.981520 | − | 1.32343i | 0.0354815 | − | 0.999370i | \(-0.488704\pi\) |
0.946038 | − | 0.324056i | \(-0.105046\pi\) | |||||||
\(54\) | −3.80408 | + | 6.26061i | −0.517670 | + | 0.851961i | ||||
\(55\) | −3.01928 | − | 0.915890i | −0.407120 | − | 0.123499i | ||||
\(56\) | 1.86234 | + | 0.811269i | 0.248866 | + | 0.108410i | ||||
\(57\) | 8.55268 | + | 4.57150i | 1.13283 | + | 0.605510i | ||||
\(58\) | 4.02797 | + | 3.02524i | 0.528898 | + | 0.397234i | ||||
\(59\) | −2.90868 | − | 8.12921i | −0.378678 | − | 1.05833i | −0.968112 | − | 0.250517i | \(-0.919399\pi\) |
0.589434 | − | 0.807816i | \(-0.299351\pi\) | |||||||
\(60\) | −8.53456 | + | 3.41487i | −1.10181 | + | 0.440858i | ||||
\(61\) | −5.48610 | + | 9.15301i | −0.702424 | + | 1.17192i | 0.275165 | + | 0.961397i | \(0.411268\pi\) |
−0.977588 | + | 0.210526i | \(0.932482\pi\) | |||||||
\(62\) | −4.49506 | − | 0.470170i | −0.570874 | − | 0.0597116i | ||||
\(63\) | 0.00935779 | + | 0.00935779i | 0.00117897 | + | 0.00117897i | ||||
\(64\) | −1.27526 | − | 7.89770i | −0.159407 | − | 0.987213i | ||||
\(65\) | 6.83354 | − | 6.83354i | 0.847596 | − | 0.847596i | ||||
\(66\) | 2.27637 | − | 1.84526i | 0.280202 | − | 0.227136i | ||||
\(67\) | −3.99902 | − | 2.39692i | −0.488558 | − | 0.292831i | 0.248533 | − | 0.968623i | \(-0.420051\pi\) |
−0.737092 | + | 0.675793i | \(0.763801\pi\) | |||||||
\(68\) | −0.784161 | + | 0.765431i | −0.0950935 | + | 0.0928222i | ||||
\(69\) | −7.04666 | + | 2.52133i | −0.848318 | + | 0.303533i | ||||
\(70\) | −0.378196 | − | 2.66025i | −0.0452030 | − | 0.317961i | ||||
\(71\) | −1.49561 | + | 2.79810i | −0.177497 | + | 0.332073i | −0.954899 | − | 0.296931i | \(-0.904037\pi\) |
0.777402 | + | 0.629004i | \(0.216537\pi\) | |||||||
\(72\) | 0.0110927 | − | 0.0509239i | 0.00130729 | − | 0.00600144i | ||||
\(73\) | −3.97595 | + | 13.1069i | −0.465349 | + | 1.53405i | 0.339519 | + | 0.940599i | \(0.389736\pi\) |
−0.804869 | + | 0.593453i | \(0.797764\pi\) | |||||||
\(74\) | 0.526890 | + | 2.15873i | 0.0612497 | + | 0.250947i | ||||
\(75\) | 2.78908 | + | 2.06853i | 0.322056 | + | 0.238853i | ||||
\(76\) | 11.0224 | + | 1.77142i | 1.26435 | + | 0.203196i | ||||
\(77\) | 0.366225 | + | 0.774318i | 0.0417352 | + | 0.0882418i | ||||
\(78\) | 1.69780 | + | 8.81344i | 0.192238 | + | 0.997925i | ||||
\(79\) | −4.73946 | − | 7.09310i | −0.533231 | − | 0.798036i | 0.462854 | − | 0.886434i | \(-0.346825\pi\) |
−0.996085 | + | 0.0883979i | \(0.971825\pi\) | |||||||
\(80\) | −8.01023 | + | 6.91485i | −0.895571 | + | 0.773104i | ||||
\(81\) | −5.03066 | + | 7.52891i | −0.558962 | + | 0.836545i | ||||
\(82\) | 2.72291 | − | 6.46293i | 0.300695 | − | 0.713711i | ||||
\(83\) | 0.550022 | + | 11.1960i | 0.0603728 | + | 1.22892i | 0.817608 | + | 0.575775i | \(0.195299\pi\) |
−0.757236 | + | 0.653142i | \(0.773451\pi\) | |||||||
\(84\) | 2.24289 | + | 1.09417i | 0.244719 | + | 0.119384i | ||||
\(85\) | 1.40604 | + | 0.352195i | 0.152507 | + | 0.0382009i | ||||
\(86\) | 0.0114161 | + | 0.265054i | 0.00123103 | + | 0.0285815i | ||||
\(87\) | 4.78385 | + | 3.92600i | 0.512883 | + | 0.420912i | ||||
\(88\) | 1.78640 | − | 2.86147i | 0.190430 | − | 0.305034i | ||||
\(89\) | 2.95716 | + | 0.291255i | 0.313458 | + | 0.0308729i | 0.253523 | − | 0.967329i | \(-0.418411\pi\) |
0.0599352 | + | 0.998202i | \(0.480911\pi\) | |||||||
\(90\) | −0.0650485 | + | 0.0228322i | −0.00685671 | + | 0.00240673i | ||||
\(91\) | −2.62044 | − | 0.128734i | −0.274697 | − | 0.0134950i | ||||
\(92\) | −6.72547 | + | 5.38474i | −0.701179 | + | 0.561398i | ||||
\(93\) | −5.49222 | − | 0.814693i | −0.569516 | − | 0.0844798i | ||||
\(94\) | −12.7107 | − | 3.93978i | −1.31101 | − | 0.406358i | ||||
\(95\) | −5.65106 | − | 13.6429i | −0.579787 | − | 1.39973i | ||||
\(96\) | −1.14770 | − | 9.76076i | −0.117137 | − | 0.996203i | ||||
\(97\) | 4.62605 | − | 11.1683i | 0.469704 | − | 1.13397i | −0.494589 | − | 0.869127i | \(-0.664681\pi\) |
0.964293 | − | 0.264839i | \(-0.0853188\pi\) | |||||||
\(98\) | 5.86014 | − | 7.05324i | 0.591963 | − | 0.712485i | ||||
\(99\) | 0.0176515 | − | 0.0130913i | 0.00177404 | − | 0.00131572i | ||||
\(100\) | 3.81093 | + | 1.20652i | 0.381093 | + | 0.120652i | ||||
\(101\) | 6.07177 | + | 6.69916i | 0.604164 | + | 0.666592i | 0.963839 | − | 0.266486i | \(-0.0858625\pi\) |
−0.359675 | + | 0.933078i | \(0.617113\pi\) | |||||||
\(102\) | −1.00291 | + | 0.898008i | −0.0993032 | + | 0.0889160i | ||||
\(103\) | 13.9632 | − | 11.4593i | 1.37583 | − | 1.12912i | 0.398555 | − | 0.917144i | \(-0.369512\pi\) |
0.977276 | − | 0.211971i | \(-0.0679882\pi\) | |||||||
\(104\) | 5.15033 | + | 8.95716i | 0.505032 | + | 0.878322i | ||||
\(105\) | −0.323553 | − | 3.28509i | −0.0315755 | − | 0.320592i | ||||
\(106\) | 5.81137 | − | 15.9374i | 0.564450 | − | 1.54798i | ||||
\(107\) | −5.45827 | + | 3.27156i | −0.527671 | + | 0.316274i | −0.753013 | − | 0.658006i | \(-0.771400\pi\) |
0.225342 | + | 0.974280i | \(0.427650\pi\) | |||||||
\(108\) | −2.63859 | + | 10.0185i | −0.253898 | + | 0.964031i | ||||
\(109\) | 8.83302 | − | 9.74573i | 0.846050 | − | 0.933472i | −0.152446 | − | 0.988312i | \(-0.548715\pi\) |
0.998495 | + | 0.0548401i | \(0.0174649\pi\) | |||||||
\(110\) | −4.46197 | − | 0.0269650i | −0.425432 | − | 0.00257102i | ||||
\(111\) | 0.532567 | + | 2.67740i | 0.0505490 | + | 0.254127i | ||||
\(112\) | 2.85132 | + | 0.350604i | 0.269425 | + | 0.0331290i | ||||
\(113\) | 2.72002 | − | 13.6745i | 0.255878 | − | 1.28639i | −0.612495 | − | 0.790474i | \(-0.709834\pi\) |
0.868373 | − | 0.495911i | \(-0.165166\pi\) | |||||||
\(114\) | 13.4348 | + | 2.75685i | 1.25828 | + | 0.258203i | ||||
\(115\) | 10.7300 | + | 3.83927i | 1.00058 | + | 0.358013i | ||||
\(116\) | 6.67819 | + | 2.48094i | 0.620054 | + | 0.230350i | ||||
\(117\) | 0.00987679 | + | 0.0665839i | 0.000913109 | + | 0.00615568i | ||||
\(118\) | −7.21421 | − | 9.85110i | −0.664122 | − | 0.906867i | ||||
\(119\) | −0.185497 | − | 0.347040i | −0.0170044 | − | 0.0318131i | ||||
\(120\) | −10.1970 | + | 8.06358i | −0.930854 | + | 0.736101i | ||||
\(121\) | −9.16519 | + | 2.78023i | −0.833199 | + | 0.252748i | ||||
\(122\) | −3.75531 | + | 14.6167i | −0.339990 | + | 1.32333i | ||||
\(123\) | 3.68364 | − | 7.78841i | 0.332143 | − | 0.702257i | ||||
\(124\) | −6.28346 | + | 1.17109i | −0.564271 | + | 0.105167i | ||||
\(125\) | 1.92926 | + | 7.70204i | 0.172558 | + | 0.688892i | ||||
\(126\) | 0.0164520 | + | 0.00892205i | 0.00146566 | + | 0.000794839i | ||||
\(127\) | 10.4476i | 0.927076i | 0.886077 | + | 0.463538i | \(0.153420\pi\) | ||||
−0.886077 | + | 0.463538i | \(0.846580\pi\) | |||||||
\(128\) | −4.90651 | − | 10.1944i | −0.433679 | − | 0.901068i | ||||
\(129\) | 0.325921i | 0.0286957i | ||||||||
\(130\) | 6.51534 | − | 12.0141i | 0.571433 | − | 1.05371i | ||||
\(131\) | −3.60480 | − | 14.3912i | −0.314953 | − | 1.25736i | −0.896205 | − | 0.443640i | \(-0.853687\pi\) |
0.581252 | − | 0.813723i | \(-0.302563\pi\) | |||||||
\(132\) | 2.34382 | − | 3.41762i | 0.204004 | − | 0.297466i | ||||
\(133\) | −1.71403 | + | 3.62402i | −0.148626 | + | 0.314242i | ||||
\(134\) | −6.38615 | − | 1.64072i | −0.551679 | − | 0.141737i | ||||
\(135\) | 13.1138 | − | 3.97803i | 1.12866 | − | 0.342374i | ||||
\(136\) | −0.755183 | + | 1.35325i | −0.0647564 | + | 0.116040i | ||||
\(137\) | −6.64279 | − | 12.4278i | −0.567532 | − | 1.06178i | −0.987998 | − | 0.154469i | \(-0.950633\pi\) |
0.420466 | − | 0.907309i | \(-0.361867\pi\) | |||||||
\(138\) | −8.53924 | + | 6.25350i | −0.726909 | + | 0.532333i | ||||
\(139\) | 3.03092 | + | 20.4328i | 0.257079 | + | 1.73309i | 0.605584 | + | 0.795781i | \(0.292940\pi\) |
−0.348505 | + | 0.937307i | \(0.613310\pi\) | |||||||
\(140\) | −1.58307 | − | 3.45454i | −0.133794 | − | 0.291962i | ||||
\(141\) | −15.3924 | − | 5.50747i | −1.29627 | − | 0.463813i | ||||
\(142\) | −0.901932 | + | 4.39533i | −0.0756884 | + | 0.368848i | ||||
\(143\) | −0.849961 | + | 4.27304i | −0.0710773 | + | 0.357330i | ||||
\(144\) | −0.00544940 | − | 0.0735043i | −0.000454117 | − | 0.00612536i | ||||
\(145\) | −1.83842 | − | 9.24238i | −0.152673 | − | 0.767538i | ||||
\(146\) | −0.117057 | + | 19.3697i | −0.00968773 | + | 1.60305i | ||||
\(147\) | 7.56537 | − | 8.34710i | 0.623981 | − | 0.688457i | ||||
\(148\) | 1.58288 | + | 2.71476i | 0.130112 | + | 0.223152i | ||||
\(149\) | 14.8149 | − | 8.87971i | 1.21368 | − | 0.727454i | 0.243518 | − | 0.969896i | \(-0.421698\pi\) |
0.970166 | + | 0.242442i | \(0.0779484\pi\) | |||||||
\(150\) | 4.61362 | + | 1.68230i | 0.376700 | + | 0.137359i | ||||
\(151\) | −1.68690 | − | 17.1274i | −0.137278 | − | 1.39381i | −0.779073 | − | 0.626933i | \(-0.784310\pi\) |
0.641795 | − | 0.766877i | \(-0.278190\pi\) | |||||||
\(152\) | 15.6566 | − | 2.03308i | 1.26991 | − | 0.164905i | ||||
\(153\) | −0.00780428 | + | 0.00640480i | −0.000630938 | + | 0.000517798i | ||||
\(154\) | 0.808057 | + | 0.902454i | 0.0651151 | + | 0.0727218i | ||||
\(155\) | 5.67774 | + | 6.26443i | 0.456047 | + | 0.503171i | ||||
\(156\) | 5.84782 | + | 11.2659i | 0.468200 | + | 0.901997i | ||||
\(157\) | −10.2800 | + | 7.62420i | −0.820437 | + | 0.608477i | −0.922367 | − | 0.386314i | \(-0.873748\pi\) |
0.101930 | + | 0.994792i | \(0.467498\pi\) | |||||||
\(158\) | −9.27947 | − | 7.70978i | −0.738235 | − | 0.613357i | ||||
\(159\) | 7.97517 | − | 19.2538i | 0.632472 | − | 1.52692i | ||||
\(160\) | −8.07795 | + | 12.5978i | −0.638618 | + | 0.995944i | ||||
\(161\) | −1.18396 | − | 2.85833i | −0.0933091 | − | 0.225268i | ||||
\(162\) | −3.79126 | + | 12.2315i | −0.297870 | + | 0.960999i | ||||
\(163\) | 12.9556 | + | 1.92178i | 1.01476 | + | 0.150525i | 0.633337 | − | 0.773876i | \(-0.281685\pi\) |
0.381421 | + | 0.924401i | \(0.375435\pi\) | |||||||
\(164\) | 1.09136 | − | 9.85780i | 0.0852209 | − | 0.769765i | ||||
\(165\) | −5.47502 | − | 0.268971i | −0.426230 | − | 0.0209393i | ||||
\(166\) | 5.25027 | + | 14.9579i | 0.407500 | + | 1.16096i | ||||
\(167\) | −0.434587 | − | 0.0428031i | −0.0336293 | − | 0.00331220i | 0.0811885 | − | 0.996699i | \(-0.474128\pi\) |
−0.114818 | + | 0.993387i | \(0.536628\pi\) | |||||||
\(168\) | 3.48107 | + | 0.581049i | 0.268571 | + | 0.0448289i | ||||
\(169\) | −0.266359 | − | 0.218595i | −0.0204892 | − | 0.0168150i | ||||
\(170\) | 2.04798 | − | 0.0882079i | 0.157073 | − | 0.00676523i | ||||
\(171\) | 0.0997725 | + | 0.0249917i | 0.00762980 | + | 0.00191116i | ||||
\(172\) | 0.122119 | + | 0.354760i | 0.00931149 | + | 0.0270502i | ||||
\(173\) | −0.487770 | − | 9.92878i | −0.0370844 | − | 0.754871i | −0.943277 | − | 0.332006i | \(-0.892274\pi\) |
0.906193 | − | 0.422865i | \(-0.138976\pi\) | |||||||
\(174\) | 8.06540 | + | 3.39805i | 0.611437 | + | 0.257605i | ||||
\(175\) | −0.797494 | + | 1.19353i | −0.0602849 | + | 0.0902227i | ||||
\(176\) | 1.27067 | − | 4.59824i | 0.0957803 | − | 0.346605i | ||||
\(177\) | −8.33368 | − | 12.4722i | −0.626398 | − | 0.937471i | ||||
\(178\) | 4.12642 | − | 0.794904i | 0.309289 | − | 0.0595806i | ||||
\(179\) | 0.298351 | + | 0.630810i | 0.0222998 | + | 0.0471490i | 0.914832 | − | 0.403835i | \(-0.132323\pi\) |
−0.892532 | + | 0.450984i | \(0.851073\pi\) | |||||||
\(180\) | −0.0790047 | + | 0.0571269i | −0.00588866 | + | 0.00425798i | ||||
\(181\) | 10.0211 | + | 7.43219i | 0.744866 | + | 0.552430i | 0.900223 | − | 0.435428i | \(-0.143403\pi\) |
−0.155358 | + | 0.987858i | \(0.549653\pi\) | |||||||
\(182\) | −3.60452 | + | 0.879770i | −0.267185 | + | 0.0652129i | ||||
\(183\) | −5.38181 | + | 17.7415i | −0.397835 | + | 1.31149i | ||||
\(184\) | −6.95173 | + | 10.0064i | −0.512488 | + | 0.737683i | ||||
\(185\) | 1.95949 | − | 3.66595i | 0.144065 | − | 0.269526i | ||||
\(186\) | −7.77399 | + | 1.10519i | −0.570017 | + | 0.0810365i | ||||
\(187\) | −0.615256 | + | 0.220142i | −0.0449920 | + | 0.0160984i | ||||
\(188\) | −18.8180 | − | 0.227454i | −1.37244 | − | 0.0165888i | ||||
\(189\) | −3.19103 | − | 1.91263i | −0.232113 | − | 0.139123i | ||||
\(190\) | −13.1506 | − | 16.2230i | −0.954046 | − | 1.17694i | ||||
\(191\) | −3.32059 | + | 3.32059i | −0.240270 | + | 0.240270i | −0.816962 | − | 0.576692i | \(-0.804343\pi\) |
0.576692 | + | 0.816962i | \(0.304343\pi\) | |||||||
\(192\) | −5.48316 | − | 12.7716i | −0.395713 | − | 0.921712i | ||||
\(193\) | 8.44646 | + | 8.44646i | 0.607989 | + | 0.607989i | 0.942420 | − | 0.334431i | \(-0.108544\pi\) |
−0.334431 | + | 0.942420i | \(0.608544\pi\) | |||||||
\(194\) | 1.77845 | − | 17.0029i | 0.127685 | − | 1.22074i | ||||
\(195\) | 8.63179 | − | 14.4013i | 0.618135 | − | 1.03130i | ||||
\(196\) | 5.10723 | − | 11.9204i | 0.364802 | − | 0.851455i | ||||
\(197\) | 6.38113 | + | 17.8341i | 0.454637 | + | 1.27062i | 0.922217 | + | 0.386674i | \(0.126376\pi\) |
−0.467580 | + | 0.883951i | \(0.654874\pi\) | |||||||
\(198\) | 0.0186643 | − | 0.0248507i | 0.00132642 | − | 0.00176606i | ||||
\(199\) | 14.1337 | + | 7.55462i | 1.00191 | + | 0.535533i | 0.888920 | − | 0.458063i | \(-0.151457\pi\) |
0.112992 | + | 0.993596i | \(0.463957\pi\) | |||||||
\(200\) | 5.65219 | + | 0.102484i | 0.399671 | + | 0.00724670i | ||||
\(201\) | −7.75138 | − | 2.35136i | −0.546740 | − | 0.165852i | ||||
\(202\) | 10.9273 | + | 6.63965i | 0.768841 | + | 0.467164i | ||||
\(203\) | −1.52396 | + | 2.05482i | −0.106961 | + | 0.144220i | ||||
\(204\) | −0.998421 | + | 1.62101i | −0.0699034 | + | 0.113493i | ||||
\(205\) | −11.8595 | + | 5.60913i | −0.828304 | + | 0.391759i | ||||
\(206\) | 14.3204 | − | 21.1541i | 0.997748 | − | 1.47388i | ||||
\(207\) | −0.0659996 | + | 0.0440996i | −0.00458729 | + | 0.00306513i | ||||
\(208\) | 10.5865 | + | 10.0717i | 0.734042 | + | 0.698347i | ||||
\(209\) | 5.53528 | + | 3.69856i | 0.382883 | + | 0.255835i | ||||
\(210\) | −1.76038 | − | 4.32366i | −0.121478 | − | 0.298361i | ||||
\(211\) | −20.2191 | + | 0.993299i | −1.39194 | + | 0.0683815i | −0.731163 | − | 0.682203i | \(-0.761022\pi\) |
−0.660775 | + | 0.750584i | \(0.729772\pi\) | |||||||
\(212\) | 1.46668 | − | 23.9457i | 0.100732 | − | 1.64459i | ||||
\(213\) | −1.33935 | + | 5.34698i | −0.0917707 | + | 0.366369i | ||||
\(214\) | −6.08391 | + | 6.63157i | −0.415887 | + | 0.453325i | ||||
\(215\) | 0.314839 | − | 0.383632i | 0.0214718 | − | 0.0261635i | ||||
\(216\) | 0.453503 | + | 14.6444i | 0.0308569 | + | 0.996428i | ||||
\(217\) | 0.224973 | − | 2.28419i | 0.0152722 | − | 0.155061i | ||||
\(218\) | 8.05449 | − | 16.7669i | 0.545519 | − | 1.13560i | ||||
\(219\) | −1.16762 | + | 23.7675i | −0.0789006 | + | 1.60606i | ||||
\(220\) | −6.06027 | + | 1.75866i | −0.408583 | + | 0.118569i | ||||
\(221\) | 0.293682 | − | 1.97984i | 0.0197552 | − | 0.133179i | ||||
\(222\) | 1.79926 | + | 3.41567i | 0.120758 | + | 0.229245i | ||||
\(223\) | −14.4430 | + | 5.98248i | −0.967174 | + | 0.400616i | −0.809659 | − | 0.586900i | \(-0.800348\pi\) |
−0.157514 | + | 0.987517i | \(0.550348\pi\) | |||||||
\(224\) | 4.00681 | − | 0.671858i | 0.267716 | − | 0.0448904i | ||||
\(225\) | 0.0340253 | + | 0.0140937i | 0.00226835 | + | 0.000939583i | ||||
\(226\) | −1.81403 | − | 19.6339i | −0.120668 | − | 1.30603i | ||||
\(227\) | 9.86100 | + | 13.2960i | 0.654497 | + | 0.882488i | 0.998402 | − | 0.0565171i | \(-0.0179996\pi\) |
−0.343904 | + | 0.939005i | \(0.611750\pi\) | |||||||
\(228\) | 19.3237 | − | 1.66767i | 1.27975 | − | 0.110444i | ||||
\(229\) | −4.92344 | + | 4.46235i | −0.325350 | + | 0.294880i | −0.817849 | − | 0.575433i | \(-0.804834\pi\) |
0.492499 | + | 0.870313i | \(0.336084\pi\) | |||||||
\(230\) | 16.0922 | + | 0.888072i | 1.06109 | + | 0.0585577i | ||||
\(231\) | 0.944072 | + | 1.15036i | 0.0621154 | + | 0.0756878i | ||||
\(232\) | 10.0523 | + | 0.676705i | 0.659965 | + | 0.0444279i | ||||
\(233\) | 4.96588 | − | 0.489097i | 0.325326 | − | 0.0320418i | 0.0659639 | − | 0.997822i | \(-0.478988\pi\) |
0.259362 | + | 0.965780i | \(0.416488\pi\) | |||||||
\(234\) | 0.0401800 | + | 0.0862989i | 0.00262665 | + | 0.00564154i | ||||
\(235\) | 12.7977 | + | 21.3517i | 0.834831 | + | 1.39283i | ||||
\(236\) | −13.7443 | − | 10.4533i | −0.894679 | − | 0.680453i | ||||
\(237\) | −10.9817 | − | 9.95324i | −0.713338 | − | 0.646532i | ||||
\(238\) | −0.391119 | − | 0.395875i | −0.0253525 | − | 0.0256608i | ||||
\(239\) | 10.8458 | − | 2.15737i | 0.701558 | − | 0.139549i | 0.168593 | − | 0.985686i | \(-0.446078\pi\) |
0.532965 | + | 0.846137i | \(0.321078\pi\) | |||||||
\(240\) | −10.5805 | + | 15.0350i | −0.682970 | + | 0.970508i | ||||
\(241\) | −9.82517 | − | 1.95435i | −0.632895 | − | 0.125891i | −0.131791 | − | 0.991278i | \(-0.542073\pi\) |
−0.501104 | + | 0.865387i | \(0.667073\pi\) | |||||||
\(242\) | −11.3073 | + | 7.45687i | −0.726863 | + | 0.479346i | ||||
\(243\) | −0.0645114 | + | 0.180297i | −0.00413841 | + | 0.0115661i | ||||
\(244\) | 0.789510 | + | 21.3278i | 0.0505432 | + | 1.36537i | ||||
\(245\) | −16.9683 | + | 2.51701i | −1.08406 | + | 0.160806i | ||||
\(246\) | 1.86061 | − | 12.0414i | 0.118628 | − | 0.767732i | ||||
\(247\) | −17.9831 | + | 9.61216i | −1.14424 | + | 0.611607i | ||||
\(248\) | −8.04777 | + | 4.11582i | −0.511034 | + | 0.261355i | ||||
\(249\) | 5.65326 | + | 18.6363i | 0.358261 | + | 1.18103i | ||||
\(250\) | 5.71447 | + | 9.66602i | 0.361415 | + | 0.611332i | ||||
\(251\) | −14.2278 | − | 6.72926i | −0.898052 | − | 0.424747i | −0.0779452 | − | 0.996958i | \(-0.524836\pi\) |
−0.820107 | + | 0.572211i | \(0.806086\pi\) | |||||||
\(252\) | 0.0258949 | + | 0.00547699i | 0.00163123 | + | 0.000345018i | ||||
\(253\) | −4.98367 | + | 1.24834i | −0.313320 | + | 0.0784827i | ||||
\(254\) | 4.20348 | + | 14.1646i | 0.263750 | + | 0.888766i | ||||
\(255\) | 2.51827 | 0.157700 | ||||||||
\(256\) | −10.7537 | − | 11.8472i | −0.672108 | − | 0.740453i | ||||
\(257\) | −26.5301 | −1.65490 | −0.827452 | − | 0.561537i | \(-0.810210\pi\) | ||||
−0.827452 | + | 0.561537i | \(0.810210\pi\) | |||||||
\(258\) | 0.131130 | + | 0.441875i | 0.00816383 | + | 0.0275099i | ||||
\(259\) | −1.09466 | + | 0.274198i | −0.0680188 | + | 0.0170378i | ||||
\(260\) | 3.99958 | − | 18.9098i | 0.248043 | − | 1.17274i | ||||
\(261\) | 0.0593346 | + | 0.0280632i | 0.00367272 | + | 0.00173707i | ||||
\(262\) | −10.6774 | − | 18.0608i | −0.659654 | − | 1.11580i | ||||
\(263\) | 0.271107 | + | 0.893719i | 0.0167172 | + | 0.0551091i | 0.964902 | − | 0.262610i | \(-0.0845832\pi\) |
−0.948185 | + | 0.317719i | \(0.897083\pi\) | |||||||
\(264\) | 1.80265 | − | 5.57654i | 0.110946 | − | 0.343212i | ||||
\(265\) | −27.9864 | + | 14.9591i | −1.71919 | + | 0.918928i | ||||
\(266\) | −0.865759 | + | 5.60297i | −0.0530831 | + | 0.343540i | ||||
\(267\) | 5.10664 | − | 0.757498i | 0.312521 | − | 0.0463581i | ||||
\(268\) | −9.31830 | + | 0.344943i | −0.569206 | + | 0.0210707i | ||||
\(269\) | −7.37128 | + | 20.6014i | −0.449435 | + | 1.25609i | 0.476757 | + | 0.879035i | \(0.341812\pi\) |
−0.926192 | + | 0.377052i | \(0.876938\pi\) | |||||||
\(270\) | 16.1788 | − | 10.6695i | 0.984613 | − | 0.649325i | ||||
\(271\) | −2.46900 | − | 0.491114i | −0.149981 | − | 0.0298331i | 0.119529 | − | 0.992831i | \(-0.461862\pi\) |
−0.269510 | + | 0.962998i | \(0.586862\pi\) | |||||||
\(272\) | −0.479393 | + | 2.13854i | −0.0290674 | + | 0.129668i | ||||
\(273\) | −4.47056 | + | 0.889249i | −0.270570 | + | 0.0538198i | ||||
\(274\) | −14.0063 | − | 14.1766i | −0.846152 | − | 0.856441i | ||||
\(275\) | 1.76622 | + | 1.60081i | 0.106507 | + | 0.0965322i | ||||
\(276\) | −9.06126 | + | 11.9140i | −0.545424 | + | 0.717139i | ||||
\(277\) | 8.56329 | + | 14.2870i | 0.514518 | + | 0.858421i | 0.999874 | − | 0.0158954i | \(-0.00505986\pi\) |
−0.485356 | + | 0.874317i | \(0.661310\pi\) | |||||||
\(278\) | 12.3302 | + | 26.4828i | 0.739514 | + | 1.58833i | ||||
\(279\) | −0.0586044 | + | 0.00577203i | −0.00350855 | + | 0.000345562i | ||||
\(280\) | −3.53618 | − | 4.04665i | −0.211327 | − | 0.241833i | ||||
\(281\) | 12.3702 | + | 15.0732i | 0.737946 | + | 0.899190i | 0.997789 | − | 0.0664607i | \(-0.0211707\pi\) |
−0.259843 | + | 0.965651i | \(0.583671\pi\) | |||||||
\(282\) | −23.0844 | − | 1.27395i | −1.37466 | − | 0.0758626i | ||||
\(283\) | 4.52251 | − | 4.09896i | 0.268835 | − | 0.243658i | −0.525998 | − | 0.850486i | \(-0.676308\pi\) |
0.794834 | + | 0.606828i | \(0.207558\pi\) | |||||||
\(284\) | 0.545595 | + | 6.32195i | 0.0323751 | + | 0.375139i | ||||
\(285\) | −15.2830 | − | 20.6067i | −0.905285 | − | 1.22064i | ||||
\(286\) | 0.566855 | + | 6.13526i | 0.0335189 | + | 0.362785i | ||||
\(287\) | 3.29045 | + | 1.36295i | 0.194229 | + | 0.0804524i | ||||
\(288\) | −0.0369618 | − | 0.0974627i | −0.00217799 | − | 0.00574305i | ||||
\(289\) | −15.4286 | + | 6.39074i | −0.907565 | + | 0.375926i | ||||
\(290\) | −6.21106 | − | 11.7909i | −0.364726 | − | 0.692386i | ||||
\(291\) | 3.08164 | − | 20.7747i | 0.180649 | − | 1.21783i | ||||
\(292\) | 7.63449 | + | 26.3081i | 0.446775 | + | 1.53956i | ||||
\(293\) | 0.195750 | − | 3.98458i | 0.0114358 | − | 0.232781i | −0.986273 | − | 0.165124i | \(-0.947198\pi\) |
0.997709 | − | 0.0676574i | \(-0.0215525\pi\) | |||||||
\(294\) | 6.89857 | − | 14.3606i | 0.402333 | − | 0.837528i | ||||
\(295\) | −2.23881 | + | 22.7311i | −0.130349 | + | 1.32345i | ||||
\(296\) | 3.23829 | + | 3.04375i | 0.188222 | + | 0.176914i | ||||
\(297\) | −3.91927 | + | 4.77565i | −0.227419 | + | 0.277111i | ||||
\(298\) | 16.5130 | − | 17.9995i | 0.956573 | − | 1.04268i | ||||
\(299\) | 3.82363 | − | 15.2648i | 0.221126 | − | 0.882784i | ||||
\(300\) | 6.93187 | + | 0.424579i | 0.400212 | + | 0.0245131i | ||||
\(301\) | −0.134568 | + | 0.00661092i | −0.00775640 | + | 0.000381047i | ||||
\(302\) | −9.17809 | − | 22.5422i | −0.528140 | − | 1.29716i | ||||
\(303\) | 13.0607 | + | 8.72691i | 0.750320 | + | 0.501348i | ||||
\(304\) | 20.4088 | − | 9.05564i | 1.17052 | − | 0.519376i | ||||
\(305\) | 23.4730 | − | 15.6842i | 1.34406 | − | 0.898072i | ||||
\(306\) | −0.00800394 | + | 0.0118234i | −0.000457555 | + | 0.000675900i | ||||
\(307\) | −7.39148 | + | 3.49591i | −0.421854 | + | 0.199522i | −0.626681 | − | 0.779276i | \(-0.715587\pi\) |
0.204827 | + | 0.978798i | \(0.434337\pi\) | |||||||
\(308\) | 1.45863 | + | 0.898411i | 0.0831134 | + | 0.0511917i | ||||
\(309\) | 18.6946 | − | 25.2067i | 1.06350 | − | 1.43396i | ||||
\(310\) | 10.2182 | + | 6.20877i | 0.580352 | + | 0.352634i | ||||
\(311\) | −13.3724 | − | 4.05647i | −0.758278 | − | 0.230021i | −0.112610 | − | 0.993639i | \(-0.535921\pi\) |
−0.645668 | + | 0.763618i | \(0.723421\pi\) | |||||||
\(312\) | 12.4610 | + | 12.9213i | 0.705468 | + | 0.731523i | ||||
\(313\) | 17.6561 | + | 9.43736i | 0.997980 | + | 0.533431i | 0.887677 | − | 0.460467i | \(-0.152318\pi\) |
0.110303 | + | 0.993898i | \(0.464818\pi\) | |||||||
\(314\) | −10.8699 | + | 14.4728i | −0.613424 | + | 0.816745i | ||||
\(315\) | −0.0117946 | − | 0.0329638i | −0.000664552 | − | 0.00185730i | ||||
\(316\) | −15.6828 | − | 6.71923i | −0.882227 | − | 0.377986i | ||||
\(317\) | 5.79223 | − | 9.66375i | 0.325324 | − | 0.542770i | −0.651002 | − | 0.759076i | \(-0.725651\pi\) |
0.976326 | + | 0.216306i | \(0.0694009\pi\) | |||||||
\(318\) | 3.06599 | − | 29.3125i | 0.171932 | − | 1.64376i | ||||
\(319\) | 3.00399 | + | 3.00399i | 0.168191 | + | 0.168191i | ||||
\(320\) | −5.88329 | + | 20.3298i | −0.328886 | + | 1.13647i | ||||
\(321\) | −7.81773 | + | 7.81773i | −0.436343 | + | 0.436343i | ||||
\(322\) | −2.75520 | − | 3.39890i | −0.153541 | − | 0.189413i | ||||
\(323\) | −2.62323 | − | 1.57230i | −0.145960 | − | 0.0874853i | ||||
\(324\) | −0.218879 | + | 18.1086i | −0.0121600 | + | 1.00603i | ||||
\(325\) | −6.87443 | + | 2.45971i | −0.381325 | + | 0.136440i | ||||
\(326\) | 18.3380 | − | 2.60703i | 1.01565 | − | 0.144390i | ||||
\(327\) | 10.7721 | − | 20.1532i | 0.595700 | − | 1.11448i | ||||
\(328\) | −2.48654 | − | 13.8040i | −0.137296 | − | 0.762201i | ||||
\(329\) | 1.96175 | − | 6.46702i | 0.108155 | − | 0.356538i | ||||
\(330\) | −7.53111 | + | 1.83815i | −0.414574 | + | 0.101187i | ||||
\(331\) | −7.82426 | − | 5.80286i | −0.430060 | − | 0.318954i | 0.358925 | − | 0.933366i | \(-0.383143\pi\) |
−0.788985 | + | 0.614412i | \(0.789393\pi\) | |||||||
\(332\) | 13.1363 | + | 18.1671i | 0.720950 | + | 0.997052i | ||||
\(333\) | 0.0123789 | + | 0.0261731i | 0.000678362 | + | 0.00143428i | ||||
\(334\) | −0.606423 | + | 0.116820i | −0.0331820 | + | 0.00639209i | ||||
\(335\) | 6.85253 | + | 10.2555i | 0.374394 | + | 0.560320i | ||||
\(336\) | 4.95333 | − | 0.612799i | 0.270226 | − | 0.0334309i | ||||
\(337\) | 3.87035 | − | 5.79239i | 0.210832 | − | 0.315532i | −0.710949 | − | 0.703243i | \(-0.751734\pi\) |
0.921781 | + | 0.387712i | \(0.126734\pi\) | |||||||
\(338\) | −0.449072 | − | 0.189199i | −0.0244263 | − | 0.0102911i | ||||
\(339\) | −1.18856 | − | 24.1938i | −0.0645539 | − | 1.31402i | ||||
\(340\) | 2.74110 | − | 0.943570i | 0.148657 | − | 0.0511723i | ||||
\(341\) | −3.69726 | − | 0.926116i | −0.200218 | − | 0.0501520i | ||||
\(342\) | 0.145324 | − | 0.00625922i | 0.00785823 | − | 0.000338460i | ||||
\(343\) | 7.48609 | + | 6.14368i | 0.404211 | + | 0.331727i | ||||
\(344\) | 0.308300 | + | 0.431841i | 0.0166224 | + | 0.0232833i | ||||
\(345\) | 19.7040 | + | 1.94067i | 1.06083 | + | 0.104482i | ||||
\(346\) | −4.65604 | − | 13.2649i | −0.250310 | − | 0.713127i | ||||
\(347\) | −36.2776 | − | 1.78220i | −1.94748 | − | 0.0956736i | −0.962819 | − | 0.270147i | \(-0.912928\pi\) |
−0.984662 | + | 0.174473i | \(0.944178\pi\) | |||||||
\(348\) | 12.3020 | + | 1.36196i | 0.659458 | + | 0.0730088i | ||||
\(349\) | 20.5517 | + | 3.04855i | 1.10011 | + | 0.163185i | 0.672006 | − | 0.740546i | \(-0.265433\pi\) |
0.428101 | + | 0.903731i | \(0.359183\pi\) | |||||||
\(350\) | −0.601017 | + | 1.93903i | −0.0321257 | + | 0.103645i | ||||
\(351\) | −7.24149 | − | 17.4825i | −0.386522 | − | 0.933147i | ||||
\(352\) | −0.127309 | − | 6.74542i | −0.00678561 | − | 0.359532i | ||||
\(353\) | −9.73552 | + | 23.5036i | −0.518169 | + | 1.25097i | 0.420857 | + | 0.907127i | \(0.361729\pi\) |
−0.939027 | + | 0.343844i | \(0.888271\pi\) | |||||||
\(354\) | −16.3167 | − | 13.5566i | −0.867221 | − | 0.720524i | ||||
\(355\) | 6.74169 | − | 4.99998i | 0.357812 | − | 0.265371i | ||||
\(356\) | 5.27468 | − | 2.73793i | 0.279557 | − | 0.145110i | ||||
\(357\) | −0.459117 | − | 0.506558i | −0.0242991 | − | 0.0268099i | ||||
\(358\) | 0.658296 | + | 0.735198i | 0.0347920 | + | 0.0388564i | ||||
\(359\) | 0.424715 | − | 0.348554i | 0.0224156 | − | 0.0183960i | −0.623119 | − | 0.782127i | \(-0.714135\pi\) |
0.645534 | + | 0.763731i | \(0.276635\pi\) | |||||||
\(360\) | −0.0841282 | + | 0.109238i | −0.00443395 | + | 0.00575734i | ||||
\(361\) | 1.19166 | + | 12.0991i | 0.0627187 | + | 0.636794i | ||||
\(362\) | 16.5767 | + | 6.04447i | 0.871250 | + | 0.317690i | ||||
\(363\) | −14.2724 | + | 8.55454i | −0.749106 | + | 0.448997i | ||||
\(364\) | −4.53295 | + | 2.64301i | −0.237591 | + | 0.138531i | ||||
\(365\) | 24.3337 | − | 26.8481i | 1.27369 | − | 1.40530i | ||||
\(366\) | −0.158448 | + | 26.2187i | −0.00828220 | + | 1.37047i | ||||
\(367\) | 3.91362 | + | 19.6751i | 0.204289 | + | 1.02703i | 0.937753 | + | 0.347304i | \(0.112903\pi\) |
−0.733463 | + | 0.679729i | \(0.762097\pi\) | |||||||
\(368\) | −5.39900 | + | 16.3634i | −0.281443 | + | 0.853000i | ||||
\(369\) | 0.0178268 | − | 0.0896215i | 0.000928028 | − | 0.00466551i | ||||
\(370\) | 1.18167 | − | 5.75858i | 0.0614323 | − | 0.299374i | ||||
\(371\) | 8.11139 | + | 2.90230i | 0.421123 | + | 0.150680i | ||||
\(372\) | −10.0951 | + | 4.62617i | −0.523407 | + | 0.239856i | ||||
\(373\) | −1.03078 | − | 6.94895i | −0.0533717 | − | 0.359803i | −0.999365 | − | 0.0356181i | \(-0.988660\pi\) |
0.945994 | − | 0.324185i | \(-0.105090\pi\) | |||||||
\(374\) | −0.745577 | + | 0.546004i | −0.0385528 | + | 0.0282332i | ||||
\(375\) | 6.50275 | + | 12.1658i | 0.335801 | + | 0.628239i | ||||
\(376\) | −25.6044 | + | 7.26282i | −1.32045 | + | 0.374551i | ||||
\(377\) | −12.4520 | + | 3.77727i | −0.641311 | + | 0.194539i | ||||
\(378\) | −5.09584 | − | 1.30922i | −0.262102 | − | 0.0673390i | ||||
\(379\) | 14.6992 | − | 31.0788i | 0.755047 | − | 1.59641i | −0.0468147 | − | 0.998904i | \(-0.514907\pi\) |
0.801862 | − | 0.597509i | \(-0.203843\pi\) | |||||||
\(380\) | −24.3564 | − | 16.7037i | −1.24946 | − | 0.856883i | ||||
\(381\) | 4.41040 | + | 17.6073i | 0.225952 | + | 0.902050i | ||||
\(382\) | −3.16597 | + | 5.83797i | −0.161985 | + | 0.298697i | ||||
\(383\) | 6.37768i | 0.325884i | 0.986636 | + | 0.162942i | \(0.0520984\pi\) | ||||
−0.986636 | + | 0.162942i | \(0.947902\pi\) | |||||||
\(384\) | −12.5724 | − | 15.1093i | −0.641585 | − | 0.771046i | ||||
\(385\) | − | 2.26602i | − | 0.115487i | ||||||
\(386\) | 14.8498 | + | 8.05315i | 0.755836 | + | 0.409895i | ||||
\(387\) | 0.000839915 | 0.00335313i | 4.26953e−5 | 0.000170449i | ||||||
\(388\) | −4.42974 | − | 23.7676i | −0.224886 | − | 1.20662i | ||||
\(389\) | 13.8972 | − | 29.3833i | 0.704618 | − | 1.48979i | −0.159870 | − | 0.987138i | \(-0.551108\pi\) |
0.864489 | − | 0.502652i | \(-0.167642\pi\) | |||||||
\(390\) | 5.90857 | − | 22.9978i | 0.299192 | − | 1.16454i | ||||
\(391\) | 2.25861 | − | 0.685142i | 0.114223 | − | 0.0346491i | ||||
\(392\) | 2.12823 | − | 18.2162i | 0.107492 | − | 0.920055i | ||||
\(393\) | −12.1503 | − | 22.7316i | −0.612902 | − | 1.14666i | ||||
\(394\) | 15.8267 | + | 21.6116i | 0.797338 | + | 1.08878i | ||||
\(395\) | 3.31145 | + | 22.3240i | 0.166617 | + | 1.12324i | ||||
\(396\) | 0.0153063 | − | 0.0412013i | 0.000769168 | − | 0.00207044i | ||||
\(397\) | −20.1238 | − | 7.20041i | −1.00998 | − | 0.361378i | −0.220658 | − | 0.975351i | \(-0.570820\pi\) |
−0.789327 | + | 0.613973i | \(0.789570\pi\) | |||||||
\(398\) | 22.2016 | + | 4.55582i | 1.11287 | + | 0.228363i | ||||
\(399\) | −1.35879 | + | 6.83111i | −0.0680247 | + | 0.341983i | ||||
\(400\) | 7.70433 | − | 2.13515i | 0.385217 | − | 0.106758i | ||||
\(401\) | 3.34794 | + | 16.8312i | 0.167188 | + | 0.840512i | 0.969780 | + | 0.243983i | \(0.0784540\pi\) |
−0.802591 | + | 0.596529i | \(0.796546\pi\) | |||||||
\(402\) | −11.4552 | − | 0.0692271i | −0.571332 | − | 0.00345273i | ||||
\(403\) | 7.84007 | − | 8.65019i | 0.390542 | − | 0.430897i | ||||
\(404\) | 17.4863 | + | 4.60539i | 0.869976 | + | 0.229127i | ||||
\(405\) | 20.5468 | − | 12.3153i | 1.02098 | − | 0.611950i | ||||
\(406\) | −1.23941 | + | 3.39903i | −0.0615110 | + | 0.168691i | ||||
\(407\) | 0.183680 | + | 1.86493i | 0.00910467 | + | 0.0924413i | ||||
\(408\) | −0.701439 | + | 2.59942i | −0.0347264 | + | 0.128691i | ||||
\(409\) | 10.4396 | − | 8.56757i | 0.516206 | − | 0.423639i | −0.339883 | − | 0.940468i | \(-0.610388\pi\) |
0.856089 | + | 0.516829i | \(0.172888\pi\) | |||||||
\(410\) | −13.8220 | + | 12.3763i | −0.682622 | + | 0.611220i | ||||
\(411\) | −16.4414 | − | 18.1403i | −0.810994 | − | 0.894794i | ||||
\(412\) | 10.9041 | − | 34.4418i | 0.537206 | − | 1.69683i | ||||
\(413\) | 4.98059 | − | 3.69386i | 0.245079 | − | 0.181763i | ||||
\(414\) | −0.0717377 | + | 0.0863432i | −0.00352571 | + | 0.00424354i | ||||
\(415\) | 11.3483 | − | 27.3973i | 0.557068 | − | 1.34488i | ||||
\(416\) | 18.4051 | + | 9.39560i | 0.902386 | + | 0.460657i | ||||
\(417\) | 13.7336 | + | 33.1558i | 0.672537 | + | 1.62365i | ||||
\(418\) | 8.99266 | + | 2.78735i | 0.439846 | + | 0.136334i | ||||
\(419\) | 25.6946 | + | 3.81144i | 1.25527 | + | 0.186201i | 0.741044 | − | 0.671456i | \(-0.234331\pi\) |
0.514221 | + | 0.857657i | \(0.328081\pi\) | |||||||
\(420\) | −4.12626 | − | 5.15364i | −0.201341 | − | 0.251472i | ||||
\(421\) | 39.4446 | + | 1.93779i | 1.92241 | + | 0.0944420i | 0.974540 | − | 0.224213i | \(-0.0719811\pi\) |
0.947871 | + | 0.318655i | \(0.103231\pi\) | |||||||
\(422\) | −27.0128 | + | 9.48160i | −1.31496 | + | 0.461557i | ||||
\(423\) | −0.172552 | − | 0.0169949i | −0.00838979 | − | 0.000826322i | ||||
\(424\) | −7.64578 | − | 33.0550i | −0.371312 | − | 1.60529i | ||||
\(425\) | −0.846512 | − | 0.694714i | −0.0410619 | − | 0.0336986i | ||||
\(426\) | 0.335442 | + | 7.78817i | 0.0162522 | + | 0.377338i | ||||
\(427\) | −7.43438 | − | 1.86222i | −0.359775 | − | 0.0901190i | ||||
\(428\) | −5.58027 | + | 11.4387i | −0.269732 | + | 0.552911i | ||||
\(429\) | 0.371406 | + | 7.56015i | 0.0179317 | + | 0.365007i | ||||
\(430\) | 0.272500 | − | 0.646791i | 0.0131411 | − | 0.0311910i | ||||
\(431\) | 4.61705 | − | 6.90991i | 0.222396 | − | 0.332839i | −0.703447 | − | 0.710748i | \(-0.748357\pi\) |
0.925843 | + | 0.377909i | \(0.123357\pi\) | |||||||
\(432\) | 6.50687 | + | 19.6721i | 0.313062 | + | 0.946474i | ||||
\(433\) | −15.3300 | − | 22.9430i | −0.736714 | − | 1.10257i | −0.990793 | − | 0.135387i | \(-0.956772\pi\) |
0.254078 | − | 0.967184i | \(-0.418228\pi\) | |||||||
\(434\) | −0.614006 | − | 3.18736i | −0.0294732 | − | 0.152998i | ||||
\(435\) | −6.99991 | − | 14.8001i | −0.335620 | − | 0.709609i | ||||
\(436\) | 4.17411 | − | 25.9727i | 0.199904 | − | 1.24387i | ||||
\(437\) | −19.3136 | − | 14.3239i | −0.923892 | − | 0.685205i | ||||
\(438\) | 7.97955 | + | 32.6931i | 0.381278 | + | 1.56214i | ||||
\(439\) | −1.42679 | + | 4.70351i | −0.0680972 | + | 0.224486i | −0.984383 | − | 0.176038i | \(-0.943672\pi\) |
0.916286 | + | 0.400524i | \(0.131172\pi\) | |||||||
\(440\) | −7.50878 | + | 4.82263i | −0.357967 | + | 0.229910i | ||||
\(441\) | 0.0563229 | − | 0.105373i | 0.00268204 | − | 0.00501775i | ||||
\(442\) | −0.398401 | − | 2.80238i | −0.0189500 | − | 0.133295i | ||||
\(443\) | −14.1795 | + | 5.07351i | −0.673688 | + | 0.241050i | −0.651437 | − | 0.758703i | \(-0.725833\pi\) |
−0.0222515 | + | 0.999752i | \(0.507083\pi\) | |||||||
\(444\) | 3.81365 | + | 3.90697i | 0.180988 | + | 0.185416i | ||||
\(445\) | −6.74263 | − | 4.04137i | −0.319631 | − | 0.191580i | ||||
\(446\) | −17.1744 | + | 13.9219i | −0.813233 | + | 0.659219i | ||||
\(447\) | 21.2190 | − | 21.2190i | 1.00362 | − | 1.00362i | ||||
\(448\) | 5.16202 | − | 2.52298i | 0.243882 | − | 0.119200i | ||||
\(449\) | 19.4801 | + | 19.4801i | 0.919321 | + | 0.919321i | 0.996980 | − | 0.0776587i | \(-0.0247444\pi\) |
−0.0776587 | + | 0.996980i | \(0.524744\pi\) | |||||||
\(450\) | 0.0518011 | + | 0.00541824i | 0.00244193 | + | 0.000255418i | ||||
\(451\) | 3.04058 | − | 5.07290i | 0.143175 | − | 0.238874i | ||||
\(452\) | −10.3589 | − | 25.8892i | −0.487241 | − | 1.21773i | ||||
\(453\) | −10.0732 | − | 28.1527i | −0.473279 | − | 1.32273i | ||||
\(454\) | 18.7188 | + | 14.0589i | 0.878516 | + | 0.659819i | ||||
\(455\) | 6.12118 | + | 3.27184i | 0.286965 | + | 0.153386i | ||||
\(456\) | 25.5277 | − | 10.0357i | 1.19544 | − | 0.469963i | ||||
\(457\) | 14.3881 | + | 4.36460i | 0.673049 | + | 0.204167i | 0.608267 | − | 0.793732i | \(-0.291865\pi\) |
0.0647818 | + | 0.997899i | \(0.479365\pi\) | |||||||
\(458\) | −4.87970 | + | 8.03083i | −0.228013 | + | 0.375256i | ||||
\(459\) | 1.69070 | − | 2.27965i | 0.0789152 | − | 0.106405i | ||||
\(460\) | 22.1747 | − | 5.27048i | 1.03390 | − | 0.245737i | ||||
\(461\) | 19.9467 | − | 9.43408i | 0.929010 | − | 0.439389i | 0.0977111 | − | 0.995215i | \(-0.468848\pi\) |
0.831299 | + | 0.555826i | \(0.187598\pi\) | |||||||
\(462\) | 1.74278 | + | 1.17978i | 0.0810815 | + | 0.0548886i | ||||
\(463\) | −9.07346 | + | 6.06269i | −0.421680 | + | 0.281757i | −0.748252 | − | 0.663415i | \(-0.769106\pi\) |
0.326572 | + | 0.945172i | \(0.394106\pi\) | |||||||
\(464\) | 13.9009 | − | 3.12697i | 0.645333 | − | 0.145166i | ||||
\(465\) | 12.2132 | + | 8.16058i | 0.566372 | + | 0.378438i | ||||
\(466\) | 6.53583 | − | 2.66107i | 0.302767 | − | 0.123272i | ||||
\(467\) | −25.0442 | + | 1.23034i | −1.15891 | + | 0.0569334i | −0.619419 | − | 0.785061i | \(-0.712632\pi\) |
−0.539487 | + | 0.841994i | \(0.681382\pi\) | |||||||
\(468\) | 0.0891964 | + | 0.100836i | 0.00412310 | + | 0.00466114i | ||||
\(469\) | 0.813617 | − | 3.24814i | 0.0375693 | − | 0.149985i | ||||
\(470\) | 25.9414 | + | 23.7991i | 1.19659 | + | 1.09777i | ||||
\(471\) | −14.1064 | + | 17.1887i | −0.649988 | + | 0.792013i | ||||
\(472\) | −22.8400 | − | 8.64246i | −1.05129 | − | 0.397802i | ||||
\(473\) | −0.0219298 | + | 0.222657i | −0.00100833 | + | 0.0102378i | ||||
\(474\) | −18.8933 | − | 9.07598i | −0.867797 | − | 0.416873i | ||||
\(475\) | −0.547421 | + | 11.1430i | −0.0251174 | + | 0.511276i | ||||
\(476\) | −0.689545 | − | 0.379355i | −0.0316052 | − | 0.0173877i | ||||
\(477\) | 0.0324320 | − | 0.218639i | 0.00148496 | − | 0.0100108i | ||||
\(478\) | 13.8365 | − | 7.28860i | 0.632866 | − | 0.333373i | ||||
\(479\) | −21.8781 | + | 9.06221i | −0.999637 | + | 0.414063i | −0.821664 | − | 0.569972i | \(-0.806954\pi\) |
−0.177973 | + | 0.984035i | \(0.556954\pi\) | |||||||
\(480\) | −8.29564 | + | 24.6411i | −0.378642 | + | 1.12471i | ||||
\(481\) | −5.30293 | − | 2.19655i | −0.241793 | − | 0.100154i | ||||
\(482\) | −14.1070 | + | 1.30339i | −0.642557 | + | 0.0593678i | ||||
\(483\) | −3.20195 | − | 4.31733i | −0.145694 | − | 0.196445i | ||||
\(484\) | −12.3300 | + | 14.6592i | −0.560455 | + | 0.666328i | ||||
\(485\) | −23.6956 | + | 21.4765i | −1.07596 | + | 0.975196i | ||||
\(486\) | −0.0149223 | + | 0.270398i | −0.000676891 | + | 0.0122655i | ||||
\(487\) | −4.86038 | − | 5.92238i | −0.220245 | − | 0.268369i | 0.651153 | − | 0.758947i | \(-0.274286\pi\) |
−0.871397 | + | 0.490578i | \(0.836786\pi\) | |||||||
\(488\) | 9.65141 | + | 28.5981i | 0.436899 | + | 1.29457i | ||||
\(489\) | 22.6452 | − | 2.23036i | 1.02405 | − | 0.100860i | ||||
\(490\) | −21.9925 | + | 10.2395i | −0.993518 | + | 0.462573i | ||||
\(491\) | −10.2106 | − | 17.0354i | −0.460799 | − | 0.768796i | 0.536371 | − | 0.843983i | \(-0.319795\pi\) |
−0.997170 | + | 0.0751861i | \(0.976045\pi\) | |||||||
\(492\) | −2.32215 | − | 17.0740i | −0.104691 | − | 0.769756i | ||||
\(493\) | −1.44609 | − | 1.31066i | −0.0651287 | − | 0.0590292i | ||||
\(494\) | −20.5137 | + | 20.2672i | −0.922953 | + | 0.911865i | ||||
\(495\) | −0.0570212 | + | 0.0113422i | −0.00256291 | + | 0.000509795i | ||||
\(496\) | −9.25501 | + | 8.81805i | −0.415562 | + | 0.395942i | ||||
\(497\) | −2.23487 | − | 0.444543i | −0.100247 | − | 0.0199405i | ||||
\(498\) | 15.1627 | + | 22.9921i | 0.679455 | + | 1.03030i | ||||
\(499\) | −5.34321 | + | 14.9333i | −0.239195 | + | 0.668505i | 0.760619 | + | 0.649199i | \(0.224896\pi\) |
−0.999814 | + | 0.0193060i | \(0.993854\pi\) | |||||||
\(500\) | 11.6365 | + | 10.8058i | 0.520402 | + | 0.483249i | ||||
\(501\) | −0.750476 | + | 0.111323i | −0.0335288 | + | 0.00497353i | ||||
\(502\) | −21.9971 | − | 3.39895i | −0.981781 | − | 0.151703i | ||||
\(503\) | −0.350024 | + | 0.187092i | −0.0156068 | + | 0.00834202i | −0.479182 | − | 0.877716i | \(-0.659067\pi\) |
0.463575 | + | 0.886058i | \(0.346567\pi\) | |||||||
\(504\) | 0.0373113 | − | 0.00299298i | 0.00166198 | − | 0.000133318i | ||||
\(505\) | −6.94326 | − | 22.8889i | −0.308971 | − | 1.01854i | ||||
\(506\) | −6.25447 | + | 3.69759i | −0.278045 | + | 0.164378i | ||||
\(507\) | −0.541173 | − | 0.255956i | −0.0240343 | − | 0.0113674i | ||||
\(508\) | 11.3979 | + | 17.5128i | 0.505702 | + | 0.777004i | ||||
\(509\) | 41.5680 | − | 10.4122i | 1.84247 | − | 0.461514i | 0.845139 | − | 0.534547i | \(-0.179518\pi\) |
0.997330 | + | 0.0730322i | \(0.0232676\pi\) | |||||||
\(510\) | 3.41421 | − | 1.01320i | 0.151184 | − | 0.0448652i | ||||
\(511\) | −9.83698 | −0.435162 | ||||||||
\(512\) | −19.3462 | − | 11.7356i | −0.854991 | − | 0.518643i | ||||
\(513\) | −28.9147 | −1.27661 | ||||||||
\(514\) | −35.9689 | + | 10.6741i | −1.58652 | + | 0.470814i | ||||
\(515\) | −46.3545 | + | 11.6112i | −2.04262 | + | 0.511651i | ||||
\(516\) | 0.355567 | + | 0.546324i | 0.0156530 | + | 0.0240506i | ||||
\(517\) | −10.1449 | − | 4.79819i | −0.446173 | − | 0.211024i | ||||
\(518\) | −1.37379 | + | 0.812174i | −0.0603609 | + | 0.0356849i | ||||
\(519\) | −5.01342 | − | 16.5270i | −0.220065 | − | 0.725456i | ||||
\(520\) | −2.18563 | − | 27.2466i | −0.0958461 | − | 1.19484i | ||||
\(521\) | −27.2456 | + | 14.5631i | −1.19365 | + | 0.638019i | −0.943881 | − | 0.330286i | \(-0.892855\pi\) |
−0.249769 | + | 0.968305i | \(0.580355\pi\) | |||||||
\(522\) | 0.0917353 | + | 0.0141747i | 0.00401514 | + | 0.000620411i | ||||
\(523\) | 13.2523 | − | 1.96579i | 0.579481 | − | 0.0859579i | 0.149446 | − | 0.988770i | \(-0.452251\pi\) |
0.430035 | + | 0.902812i | \(0.358501\pi\) | |||||||
\(524\) | −21.7428 | − | 20.1905i | −0.949836 | − | 0.882025i | ||||
\(525\) | −0.840169 | + | 2.34812i | −0.0366680 | + | 0.102480i | ||||
\(526\) | 0.727138 | + | 1.10261i | 0.0317047 | + | 0.0480759i | ||||
\(527\) | 1.71736 | + | 0.341604i | 0.0748094 | + | 0.0148805i | ||||
\(528\) | 0.200331 | − | 8.28580i | 0.00871830 | − | 0.360593i | ||||
\(529\) | −4.35777 | + | 0.866815i | −0.189468 | + | 0.0376876i | ||||
\(530\) | −31.9247 | + | 31.5411i | −1.38672 | + | 1.37006i | ||||
\(531\) | −0.117880 | − | 0.106840i | −0.00511556 | − | 0.00463647i | ||||
\(532\) | 1.08052 | + | 7.94470i | 0.0468464 | + | 0.344446i | ||||
\(533\) | 9.31317 | + | 15.5381i | 0.403398 | + | 0.673029i | ||||
\(534\) | 6.61868 | − | 3.08160i | 0.286418 | − | 0.133354i | ||||
\(535\) | 16.7539 | − | 1.65012i | 0.724336 | − | 0.0713409i | ||||
\(536\) | −12.4947 | + | 4.21678i | −0.539690 | + | 0.182137i | ||||
\(537\) | 0.769103 | + | 0.937154i | 0.0331892 | + | 0.0404412i | ||||
\(538\) | −1.70507 | + | 30.8965i | −0.0735109 | + | 1.33204i | ||||
\(539\) | 5.73002 | − | 5.19339i | 0.246810 | − | 0.223695i | ||||
\(540\) | 17.6421 | − | 20.9748i | 0.759195 | − | 0.902612i | ||||
\(541\) | 14.0128 | + | 18.8940i | 0.602456 | + | 0.812318i | 0.994176 | − | 0.107766i | \(-0.0343699\pi\) |
−0.391720 | + | 0.920084i | \(0.628120\pi\) | |||||||
\(542\) | −3.54500 | + | 0.327533i | −0.152271 | + | 0.0140688i | ||||
\(543\) | 20.0260 | + | 8.29506i | 0.859400 | + | 0.355975i | ||||
\(544\) | 0.210469 | + | 3.09226i | 0.00902381 | + | 0.132579i | ||||
\(545\) | −32.1476 | + | 13.3160i | −1.37705 | + | 0.570393i | ||||
\(546\) | −5.70329 | + | 3.00430i | −0.244078 | + | 0.128572i | ||||
\(547\) | 0.511235 | − | 3.44647i | 0.0218588 | − | 0.147360i | −0.975499 | − | 0.220003i | \(-0.929393\pi\) |
0.997358 | + | 0.0726427i | \(0.0231433\pi\) | |||||||
\(548\) | −24.6932 | − | 13.5850i | −1.05484 | − | 0.580323i | ||||
\(549\) | −0.00964834 | + | 0.196397i | −0.000411781 | + | 0.00838200i | ||||
\(550\) | 3.03866 | + | 1.45971i | 0.129569 | + | 0.0622424i | ||||
\(551\) | −1.94888 | + | 19.7874i | −0.0830253 | + | 0.842970i | ||||
\(552\) | −7.49156 | + | 19.7984i | −0.318862 | + | 0.842676i | ||||
\(553\) | 3.88681 | − | 4.73609i | 0.165284 | − | 0.201399i | ||||
\(554\) | 17.3581 | + | 15.9246i | 0.737474 | + | 0.676570i | ||||
\(555\) | 1.75476 | − | 7.00539i | 0.0744854 | − | 0.297362i | ||||
\(556\) | 27.3720 | + | 30.9438i | 1.16083 | + | 1.31231i | ||||
\(557\) | −16.6789 | + | 0.819380i | −0.706706 | + | 0.0347182i | −0.399247 | − | 0.916843i | \(-0.630729\pi\) |
−0.307459 | + | 0.951561i | \(0.599479\pi\) | |||||||
\(558\) | −0.0771320 | + | 0.0314044i | −0.00326526 | + | 0.00132945i | ||||
\(559\) | −0.569797 | − | 0.380726i | −0.0240999 | − | 0.0161030i | ||||
\(560\) | −6.42239 | − | 4.06360i | −0.271395 | − | 0.171718i | ||||
\(561\) | −0.943956 | + | 0.630732i | −0.0398539 | + | 0.0266295i | ||||
\(562\) | 22.8358 | + | 15.4588i | 0.963269 | + | 0.652090i | ||||
\(563\) | −38.4953 | + | 18.2069i | −1.62238 | + | 0.767331i | −0.999883 | − | 0.0152875i | \(-0.995134\pi\) |
−0.622502 | + | 0.782618i | \(0.713884\pi\) | |||||||
\(564\) | −31.8098 | + | 7.56057i | −1.33944 | + | 0.318357i | ||||
\(565\) | −21.9721 | + | 29.6260i | −0.924374 | + | 1.24637i | ||||
\(566\) | 4.48233 | − | 7.37685i | 0.188406 | − | 0.310072i | ||||
\(567\) | −6.22323 | − | 1.88779i | −0.261351 | − | 0.0792799i | ||||
\(568\) | 3.28327 | + | 8.35163i | 0.137763 | + | 0.350427i | ||||
\(569\) | −2.70358 | − | 1.44510i | −0.113340 | − | 0.0605815i | 0.413752 | − | 0.910389i | \(-0.364218\pi\) |
−0.527093 | + | 0.849808i | \(0.676718\pi\) | |||||||
\(570\) | −29.0111 | − | 21.7891i | −1.21514 | − | 0.912645i | ||||
\(571\) | 6.68867 | + | 18.6936i | 0.279912 | + | 0.782301i | 0.996406 | + | 0.0847081i | \(0.0269958\pi\) |
−0.716494 | + | 0.697593i | \(0.754254\pi\) | |||||||
\(572\) | 3.23698 | + | 8.08995i | 0.135345 | + | 0.338258i | ||||
\(573\) | −4.19441 | + | 6.99795i | −0.175224 | + | 0.292343i | ||||
\(574\) | 5.00948 | + | 0.523976i | 0.209092 | + | 0.0218704i | ||||
\(575\) | −6.08808 | − | 6.08808i | −0.253891 | − | 0.253891i | ||||
\(576\) | −0.0893249 | − | 0.117266i | −0.00372187 | − | 0.00488610i | ||||
\(577\) | 30.3757 | − | 30.3757i | 1.26456 | − | 1.26456i | 0.315697 | − | 0.948860i | \(-0.397762\pi\) |
0.948860 | − | 0.315697i | \(-0.102238\pi\) | |||||||
\(578\) | −18.3465 | + | 14.8719i | −0.763112 | + | 0.618590i | ||||
\(579\) | 17.8004 | + | 10.6692i | 0.739759 | + | 0.443395i | ||||
\(580\) | −13.1647 | − | 13.4869i | −0.546636 | − | 0.560012i | ||||
\(581\) | −7.58002 | + | 2.71218i | −0.314472 | + | 0.112520i | ||||
\(582\) | −4.18046 | − | 29.4057i | −0.173286 | − | 1.21890i | ||||
\(583\) | 6.74384 | − | 12.6168i | 0.279301 | − | 0.522536i | ||||
\(584\) | 20.9354 | + | 32.5962i | 0.866313 | + | 1.34884i | ||||
\(585\) | 0.0516925 | − | 0.170407i | 0.00213722 | − | 0.00704548i | ||||
\(586\) | −1.33776 | − | 5.48094i | −0.0552622 | − | 0.226416i | ||||
\(587\) | −10.5130 | − | 7.79694i | −0.433916 | − | 0.321814i | 0.356598 | − | 0.934258i | \(-0.383937\pi\) |
−0.790514 | + | 0.612444i | \(0.790187\pi\) | |||||||
\(588\) | 3.57507 | − | 22.2453i | 0.147433 | − | 0.917382i | ||||
\(589\) | −7.62707 | − | 16.1261i | −0.314268 | − | 0.664464i | ||||
\(590\) | 6.11026 | + | 31.7189i | 0.251555 | + | 1.30585i | ||||
\(591\) | 18.2826 | + | 27.3619i | 0.752047 | + | 1.12552i | ||||
\(592\) | 5.61500 | + | 2.82375i | 0.230775 | + | 0.116055i | ||||
\(593\) | 6.06198 | − | 9.07240i | 0.248936 | − | 0.372559i | −0.685866 | − | 0.727727i | \(-0.740577\pi\) |
0.934802 | + | 0.355169i | \(0.115577\pi\) | |||||||
\(594\) | −3.39222 | + | 8.05158i | −0.139185 | + | 0.330360i | ||||
\(595\) | 0.0510802 | + | 1.03976i | 0.00209409 | + | 0.0426261i | ||||
\(596\) | 15.1460 | − | 31.0471i | 0.620405 | − | 1.27174i | ||||
\(597\) | 27.0086 | + | 6.76530i | 1.10539 | + | 0.276885i | ||||
\(598\) | −0.957634 | − | 22.2340i | −0.0391606 | − | 0.909215i | ||||
\(599\) | 27.9991 | + | 22.9783i | 1.14401 | + | 0.938867i | 0.998723 | − | 0.0505219i | \(-0.0160885\pi\) |
0.145290 | + | 0.989389i | \(0.453588\pi\) | |||||||
\(600\) | 9.56888 | − | 2.21333i | 0.390648 | − | 0.0903587i | ||||
\(601\) | 2.46772 | + | 0.243050i | 0.100661 | + | 0.00991420i | 0.148222 | − | 0.988954i | \(-0.452645\pi\) |
−0.0475614 | + | 0.998868i | \(0.515145\pi\) | |||||||
\(602\) | −0.179785 | + | 0.0631050i | −0.00732747 | + | 0.00257197i | ||||
\(603\) | −0.0858072 | − | 0.00421544i | −0.00349434 | − | 0.000171666i | ||||
\(604\) | −21.5130 | − | 26.8695i | −0.875352 | − | 1.09330i | ||||
\(605\) | 25.0633 | + | 3.71779i | 1.01897 | + | 0.151150i | ||||
\(606\) | 21.2186 | + | 6.57687i | 0.861946 | + | 0.267167i | ||||
\(607\) | −18.2051 | − | 43.9509i | −0.738921 | − | 1.78391i | −0.610225 | − | 0.792228i | \(-0.708921\pi\) |
−0.128696 | − | 0.991684i | \(-0.541079\pi\) | |||||||
\(608\) | 24.0262 | − | 20.4886i | 0.974393 | − | 0.830924i | ||||
\(609\) | −1.70089 | + | 4.10632i | −0.0689237 | + | 0.166396i | ||||
\(610\) | 25.5137 | − | 30.7083i | 1.03302 | − | 1.24334i | ||||
\(611\) | 27.6092 | − | 20.4764i | 1.11695 | − | 0.828387i | ||||
\(612\) | −0.00609451 | + | 0.0192502i | −0.000246356 | + | 0.000778143i | ||||
\(613\) | 5.81818 | + | 6.41938i | 0.234994 | + | 0.259276i | 0.847019 | − | 0.531562i | \(-0.178395\pi\) |
−0.612025 | + | 0.790838i | \(0.709645\pi\) | |||||||
\(614\) | −8.61463 | + | 7.71354i | −0.347658 | + | 0.311293i | ||||
\(615\) | −17.6189 | + | 14.4595i | −0.710463 | + | 0.583062i | ||||
\(616\) | 2.33905 | + | 0.631178i | 0.0942428 | + | 0.0254309i | ||||
\(617\) | −0.721675 | − | 7.32729i | −0.0290535 | − | 0.294985i | −0.998721 | − | 0.0505580i | \(-0.983900\pi\) |
0.969668 | − | 0.244427i | \(-0.0786000\pi\) | |||||||
\(618\) | 15.2040 | − | 41.6962i | 0.611594 | − | 1.67727i | ||||
\(619\) | 25.5143 | − | 15.2927i | 1.02551 | − | 0.614664i | 0.100626 | − | 0.994924i | \(-0.467916\pi\) |
0.924880 | + | 0.380260i | \(0.124166\pi\) | |||||||
\(620\) | 16.3515 | + | 4.30653i | 0.656694 | + | 0.172954i | ||||
\(621\) | 14.9855 | − | 16.5340i | 0.601349 | − | 0.663486i | ||||
\(622\) | −19.7620 | − | 0.119428i | −0.792384 | − | 0.00478862i | ||||
\(623\) | 0.416344 | + | 2.09310i | 0.0166805 | + | 0.0838583i | ||||
\(624\) | 22.0931 | + | 12.5048i | 0.884431 | + | 0.500591i | ||||
\(625\) | 6.04754 | − | 30.4030i | 0.241902 | − | 1.21612i | ||||
\(626\) | 27.7347 | + | 5.69122i | 1.10850 | + | 0.227467i | ||||
\(627\) | 10.8899 | + | 3.89647i | 0.434901 | + | 0.155610i | ||||
\(628\) | −8.91419 | + | 23.9952i | −0.355715 | + | 0.957511i | ||||
\(629\) | −0.126320 | − | 0.851582i | −0.00503672 | − | 0.0339548i | ||||
\(630\) | −0.0292535 | − | 0.0399460i | −0.00116549 | − | 0.00159149i | ||||
\(631\) | −21.9345 | − | 41.0365i | −0.873197 | − | 1.63364i | −0.769153 | − | 0.639064i | \(-0.779322\pi\) |
−0.104044 | − | 0.994573i | \(-0.533178\pi\) | |||||||
\(632\) | −23.9657 | − | 2.79996i | −0.953306 | − | 0.111376i | ||||
\(633\) | −33.6558 | + | 10.2094i | −1.33770 | + | 0.405786i | ||||
\(634\) | 3.96485 | − | 15.4323i | 0.157464 | − | 0.612895i | ||||
\(635\) | 11.8173 | − | 24.9855i | 0.468954 | − | 0.991520i | ||||
\(636\) | −7.63674 | − | 40.9746i | −0.302816 | − | 1.62475i | ||||
\(637\) | 5.75544 | + | 22.9770i | 0.228039 | + | 0.910383i | ||||
\(638\) | 5.28135 | + | 2.86411i | 0.209091 | + | 0.113391i | ||||
\(639\) | 0.0584623i | 0.00231273i | ||||||||
\(640\) | 0.203068 | + | 29.9298i | 0.00802699 | + | 1.18308i | ||||
\(641\) | − | 0.532062i | − | 0.0210152i | −0.999945 | − | 0.0105076i | \(-0.996655\pi\) | ||
0.999945 | − | 0.0105076i | \(-0.00334474\pi\) | |||||||
\(642\) | −7.45370 | + | 13.7444i | −0.294174 | + | 0.542450i | ||||
\(643\) | 4.05056 | + | 16.1707i | 0.159738 | + | 0.637712i | 0.995998 | + | 0.0893775i | \(0.0284878\pi\) |
−0.836259 | + | 0.548334i | \(0.815262\pi\) | |||||||
\(644\) | −5.10294 | − | 3.49962i | −0.201084 | − | 0.137904i | ||||
\(645\) | 0.368648 | − | 0.779441i | 0.0145155 | − | 0.0306905i | ||||
\(646\) | −4.18910 | − | 1.07626i | −0.164818 | − | 0.0423449i | ||||
\(647\) | 4.69664 | − | 1.42471i | 0.184644 | − | 0.0560111i | −0.196609 | − | 0.980482i | \(-0.562993\pi\) |
0.381252 | + | 0.924471i | \(0.375493\pi\) | |||||||
\(648\) | 6.98902 | + | 24.6392i | 0.274555 | + | 0.967918i | ||||
\(649\) | −4.85406 | − | 9.08131i | −0.190539 | − | 0.356473i | ||||
\(650\) | −8.33053 | + | 6.10066i | −0.326750 | + | 0.239287i | ||||
\(651\) | −0.585112 | − | 3.94451i | −0.0229324 | − | 0.154597i | ||||
\(652\) | 23.8133 | − | 10.9126i | 0.932601 | − | 0.427372i | ||||
\(653\) | −6.53726 | − | 2.33907i | −0.255823 | − | 0.0915348i | 0.205855 | − | 0.978582i | \(-0.434002\pi\) |
−0.461678 | + | 0.887048i | \(0.652752\pi\) | |||||||
\(654\) | 6.49615 | − | 31.6573i | 0.254020 | − | 1.23790i | ||||
\(655\) | −7.65693 | + | 38.4940i | −0.299181 | + | 1.50408i | ||||
\(656\) | −8.92508 | − | 17.7147i | −0.348466 | − | 0.691644i | ||||
\(657\) | 0.0492374 | + | 0.247533i | 0.00192093 | + | 0.00965719i | ||||
\(658\) | 0.0577566 | − | 9.55711i | 0.00225158 | − | 0.372575i | ||||
\(659\) | −22.7026 | + | 25.0485i | −0.884368 | + | 0.975750i | −0.999846 | − | 0.0175599i | \(-0.994410\pi\) |
0.115477 | + | 0.993310i | \(0.463160\pi\) | |||||||
\(660\) | −9.47093 | + | 5.52218i | −0.368655 | + | 0.214950i | ||||
\(661\) | 22.7408 | − | 13.6303i | 0.884516 | − | 0.530158i | 0.00176439 | − | 0.999998i | \(-0.499438\pi\) |
0.882752 | + | 0.469840i | \(0.155688\pi\) | |||||||
\(662\) | −12.9426 | − | 4.71937i | −0.503030 | − | 0.183424i | ||||
\(663\) | −0.340839 | − | 3.46059i | −0.0132371 | − | 0.134398i | ||||
\(664\) | 25.1192 | + | 19.3453i | 0.974816 | + | 0.750743i | ||||
\(665\) | 8.19824 | − | 6.72812i | 0.317914 | − | 0.260905i | ||||
\(666\) | 0.0273135 | + | 0.0305042i | 0.00105838 | + | 0.00118202i | ||||
\(667\) | −10.3048 | − | 11.3696i | −0.399002 | − | 0.440231i | ||||
\(668\) | −0.775171 | + | 0.402369i | −0.0299923 | + | 0.0155681i | ||||
\(669\) | −21.8152 | + | 16.1793i | −0.843425 | + | 0.625527i | ||||
\(670\) | 13.4167 | + | 11.1472i | 0.518332 | + | 0.430652i | ||||
\(671\) | −4.87040 | + | 11.7582i | −0.188020 | + | 0.453920i | ||||
\(672\) | 6.46904 | − | 2.82373i | 0.249549 | − | 0.108928i | ||||
\(673\) | −10.5365 | − | 25.4374i | −0.406153 | − | 0.980540i | −0.986140 | − | 0.165914i | \(-0.946942\pi\) |
0.579987 | − | 0.814626i | \(-0.303058\pi\) | |||||||
\(674\) | 2.91682 | − | 9.41037i | 0.112352 | − | 0.362474i | ||||
\(675\) | −10.2413 | − | 1.51915i | −0.394186 | − | 0.0584720i | ||||
\(676\) | −0.684963 | − | 0.0758324i | −0.0263447 | − | 0.00291663i | ||||
\(677\) | −15.4616 | − | 0.759580i | −0.594238 | − | 0.0291930i | −0.250272 | − | 0.968175i | \(-0.580520\pi\) |
−0.343965 | + | 0.938982i | \(0.611770\pi\) | |||||||
\(678\) | −11.3455 | − | 32.3231i | −0.435722 | − | 1.24136i | ||||
\(679\) | 8.64011 | + | 0.850977i | 0.331577 | + | 0.0326575i | ||||
\(680\) | 3.33668 | − | 2.38212i | 0.127956 | − | 0.0913501i | ||||
\(681\) | 22.2315 | + | 18.2449i | 0.851914 | + | 0.699148i | ||||
\(682\) | −5.38527 | + | 0.231948i | −0.206213 | + | 0.00888173i | ||||
\(683\) | −4.68109 | − | 1.17255i | −0.179117 | − | 0.0448665i | 0.152384 | − | 0.988321i | \(-0.451305\pi\) |
−0.331501 | + | 0.943455i | \(0.607555\pi\) | |||||||
\(684\) | 0.194508 | − | 0.0669556i | 0.00743722 | − | 0.00256011i | ||||
\(685\) | 1.82923 | + | 37.2348i | 0.0698912 | + | 1.42267i | ||||
\(686\) | 12.6213 | + | 5.31750i | 0.481883 | + | 0.203023i | ||||
\(687\) | −6.41370 | + | 9.59878i | −0.244698 | + | 0.366216i | ||||
\(688\) | 0.591731 | + | 0.461439i | 0.0225595 | + | 0.0175922i | ||||
\(689\) | 24.3445 | + | 36.4341i | 0.927452 | + | 1.38803i | ||||
\(690\) | 27.4950 | − | 5.29656i | 1.04672 | − | 0.201637i | ||||
\(691\) | 0.789660 | + | 1.66960i | 0.0300401 | + | 0.0635144i | 0.918451 | − | 0.395534i | \(-0.129440\pi\) |
−0.888411 | + | 0.459048i | \(0.848190\pi\) | |||||||
\(692\) | −11.6495 | − | 16.1110i | −0.442849 | − | 0.612447i | ||||
\(693\) | 0.0126773 | + | 0.00940213i | 0.000481571 | + | 0.000357157i | ||||
\(694\) | −49.9012 | + | 12.1796i | −1.89422 | + | 0.462331i | ||||
\(695\) | 15.8630 | − | 52.2935i | 0.601720 | − | 1.98360i | ||||
\(696\) | 17.2267 | − | 3.10307i | 0.652978 | − | 0.117622i | ||||
\(697\) | −1.28081 | + | 2.39623i | −0.0485143 | + | 0.0907638i | ||||
\(698\) | 29.0900 | − | 4.13559i | 1.10107 | − | 0.156534i | ||||
\(699\) | 8.16251 | − | 2.92059i | 0.308734 | − | 0.110467i | ||||
\(700\) | −0.0346982 | + | 2.87069i | −0.00131147 | + | 0.108502i | ||||
\(701\) | 40.9386 | + | 24.5376i | 1.54623 | + | 0.926773i | 0.995767 | + | 0.0919125i | \(0.0292980\pi\) |
0.550461 | + | 0.834861i | \(0.314452\pi\) | |||||||
\(702\) | −16.8517 | − | 20.7888i | −0.636027 | − | 0.784622i | ||||
\(703\) | −6.20177 | + | 6.20177i | −0.233904 | + | 0.233904i | ||||
\(704\) | −2.88654 | − | 9.09404i | −0.108791 | − | 0.342745i | ||||
\(705\) | 30.5814 | + | 30.5814i | 1.15176 | + | 1.15176i | ||||
\(706\) | −3.74275 | + | 35.7826i | −0.140860 | + | 1.34669i | ||||
\(707\) | −3.33831 | + | 5.56963i | −0.125550 | + | 0.209467i | ||||
\(708\) | −27.5760 | − | 11.8148i | −1.03637 | − | 0.444029i | ||||
\(709\) | −8.72147 | − | 24.3749i | −0.327542 | − | 0.915418i | −0.986576 | − | 0.163305i | \(-0.947785\pi\) |
0.659034 | − | 0.752113i | \(-0.270965\pi\) | |||||||
\(710\) | 7.12852 | − | 9.49128i | 0.267529 | − | 0.356201i | ||||
\(711\) | −0.138632 | − | 0.0741002i | −0.00519910 | − | 0.00277898i | ||||
\(712\) | 6.04970 | − | 5.83422i | 0.226722 | − | 0.218647i | ||||
\(713\) | 13.1741 | + | 3.99632i | 0.493374 | + | 0.149663i | ||||
\(714\) | −0.826267 | − | 0.502057i | −0.0309223 | − | 0.0187890i | ||||
\(715\) | 6.86592 | − | 9.25762i | 0.256771 | − | 0.346215i | ||||
\(716\) | 1.18830 | + | 0.731905i | 0.0444088 | + | 0.0273526i | ||||
\(717\) | 17.3677 | − | 8.21431i | 0.648608 | − | 0.306769i | ||||
\(718\) | 0.435580 | − | 0.643440i | 0.0162557 | − | 0.0240130i | ||||
\(719\) | 11.9104 | − | 7.95831i | 0.444185 | − | 0.296795i | −0.313292 | − | 0.949657i | \(-0.601432\pi\) |
0.757477 | + | 0.652862i | \(0.226432\pi\) | |||||||
\(720\) | −0.0701083 | + | 0.181950i | −0.00261278 | + | 0.00678087i | ||||
\(721\) | 10.7867 | + | 7.20746i | 0.401719 | + | 0.268420i | ||||
\(722\) | 6.48355 | + | 15.9242i | 0.241293 | + | 0.592637i | ||||
\(723\) | −17.3833 | + | 0.853988i | −0.646493 | + | 0.0317602i | ||||
\(724\) | 24.9061 | + | 1.52551i | 0.925629 | + | 0.0566951i | ||||
\(725\) | −1.72988 | + | 6.90607i | −0.0642462 | + | 0.256485i | ||||
\(726\) | −15.9083 | + | 17.3404i | −0.590413 | + | 0.643561i | ||||
\(727\) | 5.83276 | − | 7.10724i | 0.216325 | − | 0.263593i | −0.653530 | − | 0.756901i | \(-0.726712\pi\) |
0.869855 | + | 0.493308i | \(0.164212\pi\) | |||||||
\(728\) | −5.08227 | + | 5.40710i | −0.188361 | + | 0.200400i | ||||
\(729\) | 2.63001 | − | 26.7029i | 0.0974077 | − | 0.988997i | ||||
\(730\) | 22.1890 | − | 46.1904i | 0.821252 | − | 1.70958i | ||||
\(731\) | 0.00504337 | − | 0.102660i | 0.000186536 | − | 0.00379703i | ||||
\(732\) | 10.3340 | + | 35.6104i | 0.381955 | + | 1.31620i | ||||
\(733\) | 4.16065 | − | 28.0488i | 0.153677 | − | 1.03601i | −0.765861 | − | 0.643006i | \(-0.777687\pi\) |
0.919538 | − | 0.393001i | \(-0.128563\pi\) | |||||||
\(734\) | 13.2220 | + | 25.1004i | 0.488035 | + | 0.926473i | ||||
\(735\) | −27.5340 | + | 11.4050i | −1.01561 | + | 0.420678i | ||||
\(736\) | −0.736208 | + | 24.3573i | −0.0271370 | + | 0.897821i | ||||
\(737\) | −5.13725 | − | 2.12792i | −0.189233 | − | 0.0783828i | ||||
\(738\) | −0.0118890 | − | 0.128679i | −0.000437642 | − | 0.00473674i | ||||
\(739\) | 1.23595 | + | 1.66649i | 0.0454653 | + | 0.0613029i | 0.825355 | − | 0.564614i | \(-0.190975\pi\) |
−0.779890 | + | 0.625917i | \(0.784725\pi\) | |||||||
\(740\) | −0.714815 | − | 8.28276i | −0.0262771 | − | 0.304480i | ||||
\(741\) | −26.2491 | + | 23.7908i | −0.964285 | + | 0.873977i | ||||
\(742\) | 12.1649 | + | 0.671340i | 0.446589 | + | 0.0246457i | ||||
\(743\) | −20.8839 | − | 25.4471i | −0.766155 | − | 0.933562i | 0.233089 | − | 0.972455i | \(-0.425117\pi\) |
−0.999243 | + | 0.0388934i | \(0.987617\pi\) | |||||||
\(744\) | −11.8254 | + | 10.3337i | −0.433540 | + | 0.378851i | ||||
\(745\) | −45.4737 | + | 4.47877i | −1.66603 | + | 0.164090i | ||||
\(746\) | −4.19333 | − | 9.00648i | −0.153529 | − | 0.329751i | ||||
\(747\) | 0.106189 | + | 0.177165i | 0.00388524 | + | 0.00648213i | ||||
\(748\) | −0.791155 | + | 1.04023i | −0.0289275 | + | 0.0380347i | ||||
\(749\) | −3.38641 | − | 3.06927i | −0.123737 | − | 0.112149i | ||||
\(750\) | 13.7110 | + | 13.8778i | 0.500656 | + | 0.506744i | ||||
\(751\) | 21.0331 | − | 4.18373i | 0.767507 | − | 0.152667i | 0.204217 | − | 0.978926i | \(-0.434535\pi\) |
0.563290 | + | 0.826259i | \(0.309535\pi\) | |||||||
\(752\) | −31.7917 | + | 20.1484i | −1.15932 | + | 0.734736i | ||||
\(753\) | −26.8188 | − | 5.33459i | −0.977331 | − | 0.194403i | ||||
\(754\) | −15.3624 | + | 10.1310i | −0.559464 | + | 0.368951i | ||||
\(755\) | −15.3386 | + | 42.8684i | −0.558227 | + | 1.56014i | ||||
\(756\) | −7.43556 | + | 0.275248i | −0.270429 | + | 0.0100107i | ||||
\(757\) | −19.4491 | + | 2.88500i | −0.706889 | + | 0.104857i | −0.490489 | − | 0.871447i | \(-0.663182\pi\) |
−0.216401 | + | 0.976305i | \(0.569432\pi\) | |||||||
\(758\) | 7.42457 | − | 48.0500i | 0.269673 | − | 1.74525i | ||||
\(759\) | −7.87197 | + | 4.20766i | −0.285734 | + | 0.152728i | ||||
\(760\) | −39.7423 | − | 12.8470i | −1.44161 | − | 0.466008i | ||||
\(761\) | −2.17085 | − | 7.15634i | −0.0786933 | − | 0.259417i | 0.908762 | − | 0.417314i | \(-0.137029\pi\) |
−0.987456 | + | 0.157897i | \(0.949529\pi\) | |||||||
\(762\) | 13.0636 | + | 22.0971i | 0.473245 | + | 0.800492i | ||||
\(763\) | 8.53952 | + | 4.03889i | 0.309151 | + | 0.146218i | ||||
\(764\) | −1.94350 | + | 9.18877i | −0.0703133 | + | 0.332438i | ||||
\(765\) | 0.0259084 | − | 0.00648972i | 0.000936721 | − | 0.000234636i | ||||
\(766\) | 2.56599 | + | 8.64669i | 0.0927129 | + | 0.312418i | ||||
\(767\) | 31.5399 | 1.13884 | ||||||||
\(768\) | −23.1245 | − | 15.4265i | −0.834432 | − | 0.556655i | ||||
\(769\) | 30.9035 | 1.11441 | 0.557203 | − | 0.830376i | \(-0.311874\pi\) | ||||
0.557203 | + | 0.830376i | \(0.311874\pi\) | |||||||
\(770\) | −0.911709 | − | 3.07222i | −0.0328557 | − | 0.110715i | ||||
\(771\) | −44.7111 | + | 11.1995i | −1.61023 | + | 0.403342i | ||||
\(772\) | 23.3731 | + | 4.94360i | 0.841216 | + | 0.177924i | ||||
\(773\) | −15.3153 | − | 7.24358i | −0.550852 | − | 0.260534i | 0.131801 | − | 0.991276i | \(-0.457924\pi\) |
−0.682653 | + | 0.730743i | \(0.739174\pi\) | |||||||
\(774\) | 0.00248783 | + | 0.00420816i | 8.94232e−5 | + | 0.000151259i | ||||
\(775\) | −1.85418 | − | 6.11240i | −0.0666040 | − | 0.219564i | ||||
\(776\) | −15.5684 | − | 30.4413i | −0.558872 | − | 1.09278i | ||||
\(777\) | −1.72907 | + | 0.924209i | −0.0620302 | + | 0.0331558i | ||||
\(778\) | 7.01951 | − | 45.4285i | 0.251661 | − | 1.62869i | ||||
\(779\) | 27.3811 | − | 4.06161i | 0.981031 | − | 0.145522i | ||||
\(780\) | −1.24221 | − | 33.5570i | −0.0444782 | − | 1.20153i | ||||
\(781\) | −1.27477 | + | 3.56274i | −0.0456148 | + | 0.127485i | ||||
\(782\) | 2.78651 | − | 1.83762i | 0.0996452 | − | 0.0657133i | ||||
\(783\) | −18.0972 | − | 3.59976i | −0.646742 | − | 0.128645i | ||||
\(784\) | −4.44367 | − | 25.5533i | −0.158703 | − | 0.912616i | ||||
\(785\) | 33.2085 | − | 6.60558i | 1.18526 | − | 0.235763i | ||||
\(786\) | −25.6189 | − | 25.9304i | −0.913796 | − | 0.924908i | ||||
\(787\) | −16.8451 | − | 15.2675i | −0.600462 | − | 0.544227i | 0.313728 | − | 0.949513i | \(-0.398422\pi\) |
−0.914190 | + | 0.405286i | \(0.867172\pi\) | |||||||
\(788\) | 30.1526 | + | 22.9327i | 1.07414 | + | 0.816945i | ||||
\(789\) | 0.834174 | + | 1.39174i | 0.0296974 | + | 0.0495471i | ||||
\(790\) | 13.4714 | + | 28.9340i | 0.479290 | + | 1.02942i | ||||
\(791\) | 9.96518 | − | 0.981485i | 0.354321 | − | 0.0348976i | ||||
\(792\) | 0.00417496 | − | 0.0620179i | 0.000148351 | − | 0.00220371i | ||||
\(793\) | −24.7301 | − | 30.1337i | −0.878190 | − | 1.07008i | ||||
\(794\) | −30.1803 | − | 1.66555i | −1.07106 | − | 0.0591081i | ||||
\(795\) | −40.8505 | + | 37.0248i | −1.44882 | + | 1.31313i | ||||
\(796\) | 31.9334 | − | 2.75590i | 1.13185 | − | 0.0976803i | ||||
\(797\) | 2.79314 | + | 3.76611i | 0.0989380 | + | 0.133402i | 0.849902 | − | 0.526940i | \(-0.176661\pi\) |
−0.750964 | + | 0.660343i | \(0.770411\pi\) | |||||||
\(798\) | 0.906205 | + | 9.80814i | 0.0320793 | + | 0.347204i | ||||
\(799\) | 4.76314 | + | 1.97296i | 0.168508 | + | 0.0697983i | ||||
\(800\) | 9.58628 | − | 5.99453i | 0.338926 | − | 0.211939i | ||||
\(801\) | 0.0505859 | − | 0.0209534i | 0.00178736 | − | 0.000740351i | ||||
\(802\) | 11.3109 | + | 21.4724i | 0.399402 | + | 0.758215i | ||||
\(803\) | −2.39689 | + | 16.1585i | −0.0845844 | + | 0.570222i | ||||
\(804\) | −15.5585 | + | 4.51500i | −0.548705 | + | 0.159232i | ||||
\(805\) | −0.401607 | + | 8.17489i | −0.0141548 | + | 0.288127i | ||||
\(806\) | 7.14906 | − | 14.8821i | 0.251815 | − | 0.524198i | ||||
\(807\) | −3.72604 | + | 37.8311i | −0.131163 | + | 1.33172i | ||||
\(808\) | 25.5604 | − | 0.791544i | 0.899212 | − | 0.0278464i | ||||
\(809\) | −19.2161 | + | 23.4149i | −0.675601 | + | 0.823223i | −0.992110 | − | 0.125367i | \(-0.959989\pi\) |
0.316509 | + | 0.948590i | \(0.397489\pi\) | |||||||
\(810\) | 22.9019 | − | 24.9635i | 0.804690 | − | 0.877127i | ||||
\(811\) | 9.43167 | − | 37.6533i | 0.331191 | − | 1.32219i | −0.544275 | − | 0.838907i | \(-0.683195\pi\) |
0.875466 | − | 0.483280i | \(-0.160555\pi\) | |||||||
\(812\) | −0.312804 | + | 5.10698i | −0.0109773 | + | 0.179220i | ||||
\(813\) | −4.36831 | + | 0.214601i | −0.153203 | + | 0.00752640i | ||||
\(814\) | 0.999363 | + | 2.45453i | 0.0350276 | + | 0.0860311i | ||||
\(815\) | −28.8096 | − | 19.2500i | −1.00916 | − | 0.674296i | ||||
\(816\) | 0.0948551 | + | 3.80645i | 0.00332059 | + | 0.133252i | ||||
\(817\) | −0.870663 | + | 0.581759i | −0.0304607 | + | 0.0203532i | ||||
\(818\) | 10.7067 | − | 15.8159i | 0.374351 | − | 0.552992i | ||||
\(819\) | −0.0437023 | + | 0.0206696i | −0.00152708 | + | 0.000722255i | ||||
\(820\) | −13.7601 | + | 22.3405i | −0.480525 | + | 0.780166i | ||||
\(821\) | 6.10146 | − | 8.22686i | 0.212942 | − | 0.287120i | −0.683803 | − | 0.729667i | \(-0.739675\pi\) |
0.896745 | + | 0.442547i | \(0.145925\pi\) | |||||||
\(822\) | −29.5893 | − | 17.9791i | −1.03205 | − | 0.627094i | ||||
\(823\) | −35.6273 | − | 10.8074i | −1.24189 | − | 0.376723i | −0.400070 | − | 0.916484i | \(-0.631014\pi\) |
−0.841818 | + | 0.539762i | \(0.818514\pi\) | |||||||
\(824\) | 0.926212 | − | 51.0825i | 0.0322661 | − | 1.77954i | ||||
\(825\) | 3.65237 | + | 1.95223i | 0.127159 | + | 0.0679680i | ||||
\(826\) | 5.26637 | − | 7.01192i | 0.183241 | − | 0.243976i | ||||
\(827\) | −0.314763 | − | 0.879705i | −0.0109454 | − | 0.0305903i | 0.935947 | − | 0.352141i | \(-0.114546\pi\) |
−0.946893 | + | 0.321550i | \(0.895796\pi\) | |||||||
\(828\) | −0.0625208 | + | 0.145925i | −0.00217275 | + | 0.00507124i | ||||
\(829\) | −19.8617 | + | 33.1372i | −0.689824 | + | 1.15090i | 0.291135 | + | 0.956682i | \(0.405967\pi\) |
−0.980958 | + | 0.194219i | \(0.937783\pi\) | |||||||
\(830\) | 4.36279 | − | 41.7105i | 0.151435 | − | 1.44779i | ||||
\(831\) | 20.4628 | + | 20.4628i | 0.709848 | + | 0.709848i | ||||
\(832\) | 28.7334 | + | 5.33321i | 0.996152 | + | 0.184896i | ||||
\(833\) | −2.51215 | + | 2.51215i | −0.0870407 | + | 0.0870407i | ||||
\(834\) | 31.9595 | + | 39.4263i | 1.10667 | + | 1.36522i | ||||
\(835\) | 0.990902 | + | 0.593924i | 0.0342916 | + | 0.0205536i | ||||
\(836\) | 13.3135 | + | 0.160921i | 0.460456 | + | 0.00556556i | ||||
\(837\) | 15.5869 | − | 5.57709i | 0.538762 | − | 0.192772i | ||||
\(838\) | 36.3696 | − | 5.17050i | 1.25637 | − | 0.178612i | ||||
\(839\) | 1.31847 | − | 2.46668i | 0.0455185 | − | 0.0851592i | −0.858134 | − | 0.513427i | \(-0.828376\pi\) |
0.903652 | + | 0.428267i | \(0.140876\pi\) | |||||||
\(840\) | −7.66778 | − | 5.32702i | −0.264564 | − | 0.183800i | ||||
\(841\) | 4.73503 | − | 15.6093i | 0.163277 | − | 0.538252i | ||||
\(842\) | 54.2576 | − | 13.2429i | 1.86984 | − | 0.456380i | ||||
\(843\) | 27.2106 | + | 20.1807i | 0.937181 | + | 0.695061i | ||||
\(844\) | −32.8085 | + | 23.7232i | −1.12932 | + | 0.816587i | ||||
\(845\) | 0.389747 | + | 0.824050i | 0.0134077 | + | 0.0283482i | ||||
\(846\) | −0.240780 | + | 0.0463832i | −0.00827818 | + | 0.00159469i | ||||
\(847\) | −3.82156 | − | 5.71937i | −0.131310 | − | 0.196520i | ||||
\(848\) | −23.6653 | − | 41.7389i | −0.812668 | − | 1.43332i | ||||
\(849\) | 5.89141 | − | 8.81712i | 0.202193 | − | 0.302603i | ||||
\(850\) | −1.42719 | − | 0.601291i | −0.0489522 | − | 0.0206241i | ||||
\(851\) | −0.332121 | − | 6.76047i | −0.0113850 | − | 0.231746i | ||||
\(852\) | 3.58827 | + | 10.4240i | 0.122932 | + | 0.357122i | ||||
\(853\) | −16.3884 | − | 4.10508i | −0.561128 | − | 0.140555i | −0.0479691 | − | 0.998849i | \(-0.515275\pi\) |
−0.513159 | + | 0.858294i | \(0.671525\pi\) | |||||||
\(854\) | −10.8286 | + | 0.466395i | −0.370547 | + | 0.0159597i | ||||
\(855\) | −0.210338 | − | 0.172620i | −0.00719342 | − | 0.00590349i | ||||
\(856\) | −2.96335 | + | 17.7535i | −0.101285 | + | 0.606801i | ||||
\(857\) | 10.5806 | + | 1.04210i | 0.361427 | + | 0.0355975i | 0.277101 | − | 0.960841i | \(-0.410626\pi\) |
0.0843260 | + | 0.996438i | \(0.473126\pi\) | |||||||
\(858\) | 3.54528 | + | 10.1004i | 0.121034 | + | 0.344823i | ||||
\(859\) | 32.7321 | + | 1.60803i | 1.11680 | + | 0.0548651i | 0.599085 | − | 0.800685i | \(-0.295531\pi\) |
0.517720 | + | 0.855550i | \(0.326781\pi\) | |||||||
\(860\) | 0.109220 | − | 0.986539i | 0.00372437 | − | 0.0336407i | ||||
\(861\) | 6.12075 | + | 0.907927i | 0.208595 | + | 0.0309421i | ||||
\(862\) | 3.47956 | − | 11.2259i | 0.118514 | − | 0.382355i | ||||
\(863\) | 17.9322 | + | 43.2922i | 0.610420 | + | 1.47368i | 0.862540 | + | 0.505989i | \(0.168872\pi\) |
−0.252120 | + | 0.967696i | \(0.581128\pi\) | |||||||
\(864\) | 16.7367 | + | 24.0529i | 0.569394 | + | 0.818298i | ||||
\(865\) | −10.0639 | + | 24.2964i | −0.342184 | + | 0.826104i | ||||
\(866\) | −30.0149 | − | 24.9377i | −1.01995 | − | 0.847417i | ||||
\(867\) | −23.3039 | + | 17.2834i | −0.791443 | + | 0.586974i | ||||
\(868\) | −2.11485 | − | 4.07431i | −0.0717828 | − | 0.138291i | ||||
\(869\) | −6.83259 | − | 7.53860i | −0.231780 | − | 0.255729i | ||||
\(870\) | −15.4449 | − | 17.2492i | −0.523632 | − | 0.584803i | ||||
\(871\) | 13.1656 | − | 10.8048i | 0.446100 | − | 0.366105i | ||||
\(872\) | −4.79068 | − | 36.8926i | −0.162233 | − | 1.24934i | ||||
\(873\) | −0.0218331 | − | 0.221675i | −0.000738939 | − | 0.00750257i | ||||
\(874\) | −31.9479 | − | 11.6494i | −1.08065 | − | 0.394047i | ||||
\(875\) | −4.89120 | + | 2.93167i | −0.165353 | + | 0.0991086i | ||||
\(876\) | 23.9722 | + | 41.1140i | 0.809945 | + | 1.38911i | ||||
\(877\) | −0.210927 | + | 0.232722i | −0.00712249 | + | 0.00785846i | −0.744502 | − | 0.667620i | \(-0.767313\pi\) |
0.737379 | + | 0.675479i | \(0.236063\pi\) | |||||||
\(878\) | −0.0420068 | + | 6.95095i | −0.00141766 | + | 0.234583i | ||||
\(879\) | −1.35217 | − | 6.79782i | −0.0456076 | − | 0.229285i | ||||
\(880\) | −8.23987 | + | 9.55947i | −0.277766 | + | 0.322250i | ||||
\(881\) | −7.96782 | + | 40.0569i | −0.268443 | + | 1.34955i | 0.577549 | + | 0.816356i | \(0.304009\pi\) |
−0.845992 | + | 0.533196i | \(0.820991\pi\) | |||||||
\(882\) | 0.0339656 | − | 0.165523i | 0.00114368 | − | 0.00557344i | ||||
\(883\) | 37.2168 | + | 13.3164i | 1.25245 | + | 0.448132i | 0.877796 | − | 0.479034i | \(-0.159013\pi\) |
0.374650 | + | 0.927166i | \(0.377763\pi\) | |||||||
\(884\) | −1.66765 | − | 3.63910i | −0.0560890 | − | 0.122396i | ||||
\(885\) | 5.82273 | + | 39.2536i | 0.195729 | + | 1.31950i | ||||
\(886\) | −17.1829 | + | 12.5835i | −0.577272 | + | 0.422751i | ||||
\(887\) | 12.2089 | + | 22.8412i | 0.409934 | + | 0.766933i | 0.999158 | − | 0.0410370i | \(-0.0130662\pi\) |
−0.589223 | + | 0.807970i | \(0.700566\pi\) | |||||||
\(888\) | 6.74237 | + | 3.76259i | 0.226259 | + | 0.126264i | ||||
\(889\) | −7.18037 | + | 2.17814i | −0.240822 | + | 0.0730525i | ||||
\(890\) | −10.7675 | − | 2.76637i | −0.360927 | − | 0.0927290i | ||||
\(891\) | −4.61731 | + | 9.76248i | −0.154686 | + | 0.327055i | ||||
\(892\) | −17.6834 | + | 25.7848i | −0.592083 | + | 0.863340i | ||||
\(893\) | −12.7623 | − | 50.9498i | −0.427072 | − | 1.70497i | ||||
\(894\) | 20.2309 | − | 37.3053i | 0.676623 | − | 1.24768i | ||||
\(895\) | − | 1.84605i | − | 0.0617067i | ||||||
\(896\) | 5.98344 | − | 5.49747i | 0.199893 | − | 0.183658i | ||||
\(897\) | − | 27.3398i | − | 0.912848i | ||||||
\(898\) | 34.2482 | + | 18.5730i | 1.14288 | + | 0.619789i | ||||
\(899\) | −2.76603 | − | 11.0426i | −0.0922521 | − | 0.368291i | ||||
\(900\) | 0.0724105 | − | 0.0134957i | 0.00241368 | − | 0.000449856i | ||||
\(901\) | −2.81000 | + | 5.94124i | −0.0936146 | + | 0.197931i | ||||
\(902\) | 2.08132 | − | 8.10105i | 0.0693002 | − | 0.269735i | ||||
\(903\) | −0.223997 | + | 0.0679487i | −0.00745415 | + | 0.00226119i | ||||
\(904\) | −24.4605 | − | 30.9322i | −0.813545 | − | 1.02879i | ||||
\(905\) | −15.5591 | − | 29.1090i | −0.517202 | − | 0.967616i | ||||
\(906\) | −24.9839 | − | 34.1158i | −0.830033 | − | 1.13342i | ||||
\(907\) | 5.00096 | + | 33.7138i | 0.166054 | + | 1.11945i | 0.898613 | + | 0.438743i | \(0.144576\pi\) |
−0.732559 | + | 0.680704i | \(0.761674\pi\) | |||||||
\(908\) | 31.0349 | + | 11.5294i | 1.02993 | + | 0.382618i | ||||
\(909\) | 0.156861 | + | 0.0561257i | 0.00520275 | + | 0.00186157i | ||||
\(910\) | 9.61533 | + | 1.97309i | 0.318745 | + | 0.0654072i | ||||
\(911\) | −2.79979 | + | 14.0755i | −0.0927613 | + | 0.466343i | 0.906285 | + | 0.422668i | \(0.138906\pi\) |
−0.999046 | + | 0.0436744i | \(0.986094\pi\) | |||||||
\(912\) | 30.5720 | − | 23.8769i | 1.01234 | − | 0.790642i | ||||
\(913\) | 2.60814 | + | 13.1120i | 0.0863170 | + | 0.433945i | ||||
\(914\) | 21.2631 | + | 0.128500i | 0.703322 | + | 0.00425039i | ||||
\(915\) | 32.9380 | − | 36.3414i | 1.08890 | − | 1.20141i | ||||
\(916\) | −3.38466 | + | 12.8513i | −0.111832 | + | 0.424618i | ||||
\(917\) | 9.13915 | − | 5.47779i | 0.301801 | − | 0.180893i | ||||
\(918\) | 1.37502 | − | 3.77092i | 0.0453824 | − | 0.124459i | ||||
\(919\) | −3.00602 | − | 30.5207i | −0.0991596 | − | 1.00678i | −0.908061 | − | 0.418839i | \(-0.862437\pi\) |
0.808901 | − | 0.587945i | \(-0.200063\pi\) | |||||||
\(920\) | 27.9433 | − | 16.0673i | 0.921264 | − | 0.529724i | ||||
\(921\) | −10.9810 | + | 9.01191i | −0.361838 | + | 0.296952i | ||||
\(922\) | 23.2475 | − | 20.8158i | 0.765616 | − | 0.685532i | ||||
\(923\) | −7.78340 | − | 8.58766i | −0.256194 | − | 0.282666i | ||||
\(924\) | 2.83749 | + | 0.898334i | 0.0933466 | + | 0.0295530i | ||||
\(925\) | −2.52243 | + | 1.87076i | −0.0829371 | + | 0.0615103i | ||||
\(926\) | −9.86231 | + | 11.8703i | −0.324096 | + | 0.390081i | ||||
\(927\) | 0.127374 | − | 0.307508i | 0.00418351 | − | 0.0100999i | ||||
\(928\) | 17.5884 | − | 9.83233i | 0.577367 | − | 0.322762i | ||||
\(929\) | 6.32221 | + | 15.2632i | 0.207425 | + | 0.500768i | 0.993016 | − | 0.117978i | \(-0.0376411\pi\) |
−0.785591 | + | 0.618746i | \(0.787641\pi\) | |||||||
\(930\) | 19.8416 | + | 6.15007i | 0.650632 | + | 0.201669i | ||||
\(931\) | 35.8024 | + | 5.31078i | 1.17338 | + | 0.174054i | ||||
\(932\) | 7.79046 | − | 6.23743i | 0.255185 | − | 0.204314i | ||||
\(933\) | −24.2488 | − | 1.19127i | −0.793871 | − | 0.0390004i | ||||
\(934\) | −33.4592 | + | 11.7443i | −1.09482 | + | 0.384285i | ||||
\(935\) | 1.72039 | + | 0.169444i | 0.0562628 | + | 0.00554140i | ||||
\(936\) | 0.161500 | + | 0.100824i | 0.00527880 | + | 0.00329552i | ||||
\(937\) | 24.2599 | + | 19.9096i | 0.792536 | + | 0.650418i | 0.940964 | − | 0.338505i | \(-0.109921\pi\) |
−0.148428 | + | 0.988923i | \(0.547421\pi\) | |||||||
\(938\) | −0.203772 | − | 4.73109i | −0.00665338 | − | 0.154476i | ||||
\(939\) | 33.7396 | + | 8.45134i | 1.10105 | + | 0.275799i | ||||
\(940\) | 44.7460 | + | 21.8289i | 1.45945 | + | 0.711981i | ||||
\(941\) | −1.39415 | − | 28.3786i | −0.0454480 | − | 0.925115i | −0.907954 | − | 0.419069i | \(-0.862357\pi\) |
0.862507 | − | 0.506046i | \(-0.168893\pi\) | |||||||
\(942\) | −12.2094 | + | 28.9795i | −0.397804 | + | 0.944204i | ||||
\(943\) | −11.8682 | + | 17.7621i | −0.386483 | + | 0.578413i | ||||
\(944\) | −34.4430 | − | 2.52783i | −1.12103 | − | 0.0822739i | ||||
\(945\) | 5.46799 | + | 8.18343i | 0.177874 | + | 0.266207i | ||||
\(946\) | 0.0598517 | + | 0.310696i | 0.00194595 | + | 0.0101016i | ||||
\(947\) | 16.8978 | + | 35.7275i | 0.549106 | + | 1.16099i | 0.967535 | + | 0.252737i | \(0.0813309\pi\) |
−0.418429 | + | 0.908249i | \(0.637419\pi\) | |||||||
\(948\) | −29.2666 | − | 4.70348i | −0.950536 | − | 0.152762i | ||||
\(949\) | −40.1880 | − | 29.8055i | −1.30456 | − | 0.967527i | ||||
\(950\) | 3.74108 | + | 15.3276i | 0.121377 | + | 0.497294i | ||||
\(951\) | 5.68212 | − | 18.7314i | 0.184255 | − | 0.607408i | ||||
\(952\) | −1.08750 | − | 0.236889i | −0.0352459 | − | 0.00767761i | ||||
\(953\) | −15.6057 | + | 29.1961i | −0.505517 | + | 0.945756i | 0.491668 | + | 0.870782i | \(0.336387\pi\) |
−0.997186 | + | 0.0749734i | \(0.976113\pi\) | |||||||
\(954\) | −0.0439963 | − | 0.309473i | −0.00142443 | − | 0.0100196i | ||||
\(955\) | 11.6971 | − | 4.18530i | 0.378510 | − | 0.135433i | ||||
\(956\) | 15.8267 | − | 15.4486i | 0.511871 | − | 0.499645i | ||||
\(957\) | 6.33072 | + | 3.79449i | 0.204643 | + | 0.122658i | ||||
\(958\) | −26.0157 | + | 21.0887i | −0.840529 | + | 0.681346i | ||||
\(959\) | 7.15639 | − | 7.15639i | 0.231092 | − | 0.231092i | ||||
\(960\) | −1.33295 | + | 36.7454i | −0.0430208 | + | 1.18595i | ||||
\(961\) | −14.6984 | − | 14.6984i | −0.474142 | − | 0.474142i | ||||
\(962\) | −8.07333 | − | 0.844446i | −0.260295 | − | 0.0272260i | ||||
\(963\) | −0.0602835 | + | 0.100577i | −0.00194261 | + | 0.00324105i | ||||
\(964\) | −18.6015 | + | 7.44290i | −0.599115 | + | 0.239720i | ||||
\(965\) | −10.6460 | − | 29.7535i | −0.342706 | − | 0.957800i | ||||
\(966\) | −6.07815 | − | 4.56506i | −0.195561 | − | 0.146878i | ||||
\(967\) | −10.1967 | − | 5.45027i | −0.327905 | − | 0.175269i | 0.299227 | − | 0.954182i | \(-0.403271\pi\) |
−0.627132 | + | 0.778913i | \(0.715771\pi\) | |||||||
\(968\) | −10.8187 | + | 24.8354i | −0.347727 | + | 0.798241i | ||||
\(969\) | −5.08466 | − | 1.54241i | −0.163343 | − | 0.0495495i | ||||
\(970\) | −23.4851 | + | 38.6509i | −0.754061 | + | 1.24101i | ||||
\(971\) | 31.3063 | − | 42.2117i | 1.00467 | − | 1.35464i | 0.0706150 | − | 0.997504i | \(-0.477504\pi\) |
0.934053 | − | 0.357134i | \(-0.116246\pi\) | |||||||
\(972\) | 0.0885603 | + | 0.372602i | 0.00284057 | + | 0.0119512i | ||||
\(973\) | −13.4110 | + | 6.34295i | −0.429938 | + | 0.203346i | ||||
\(974\) | −8.97238 | − | 6.07390i | −0.287493 | − | 0.194620i | ||||
\(975\) | −10.5471 | + | 7.04734i | −0.337777 | + | 0.225695i | ||||
\(976\) | 24.5912 | + | 34.8894i | 0.787147 | + | 1.11678i | ||||
\(977\) | 36.7539 | + | 24.5582i | 1.17586 | + | 0.785686i | 0.980783 | − | 0.195101i | \(-0.0625035\pi\) |
0.195079 | + | 0.980787i | \(0.437504\pi\) | |||||||
\(978\) | 29.8044 | − | 12.1349i | 0.953041 | − | 0.388032i | ||||
\(979\) | 3.53964 | − | 0.173891i | 0.113127 | − | 0.00555759i | ||||
\(980\) | −25.6971 | + | 22.7308i | −0.820863 | + | 0.726110i | ||||
\(981\) | 0.0588896 | − | 0.235101i | 0.00188020 | − | 0.00750618i | ||||
\(982\) | −20.6973 | − | 18.9880i | −0.660477 | − | 0.605932i | ||||
\(983\) | −27.0801 | + | 32.9972i | −0.863721 | + | 1.05245i | 0.134385 | + | 0.990929i | \(0.457094\pi\) |
−0.998106 | + | 0.0615184i | \(0.980406\pi\) | |||||||
\(984\) | −10.0179 | − | 22.2142i | −0.319357 | − | 0.708163i | ||||
\(985\) | 4.91156 | − | 49.8679i | 0.156495 | − | 1.58892i | ||||
\(986\) | −2.48790 | − | 1.19514i | −0.0792309 | − | 0.0380610i | ||||
\(987\) | 0.576110 | − | 11.7270i | 0.0183378 | − | 0.373274i | ||||
\(988\) | −19.6576 | + | 35.7312i | −0.625392 | + | 1.13676i | ||||
\(989\) | 0.118575 | − | 0.799370i | 0.00377047 | − | 0.0254185i | ||||
\(990\) | −0.0727444 | + | 0.0383193i | −0.00231197 | + | 0.00121787i | ||||
\(991\) | 18.0633 | − | 7.48206i | 0.573799 | − | 0.237675i | −0.0768643 | − | 0.997042i | \(-0.524491\pi\) |
0.650664 | + | 0.759366i | \(0.274491\pi\) | |||||||
\(992\) | −8.99986 | + | 15.6789i | −0.285746 | + | 0.497807i | ||||
\(993\) | −15.6358 | − | 6.47657i | −0.496188 | − | 0.205528i | ||||
\(994\) | −3.20883 | + | 0.296474i | −0.101778 | + | 0.00940358i | ||||
\(995\) | −25.2558 | − | 34.0535i | −0.800663 | − | 1.07957i | ||||
\(996\) | 29.8078 | + | 25.0716i | 0.944495 | + | 0.794423i | ||||
\(997\) | −44.9280 | + | 40.7204i | −1.42288 | + | 1.28963i | −0.523808 | + | 0.851836i | \(0.675489\pi\) |
−0.899077 | + | 0.437791i | \(0.855761\pi\) | |||||||
\(998\) | −1.23595 | + | 22.3959i | −0.0391234 | + | 0.708930i | ||||
\(999\) | −5.16348 | − | 6.29172i | −0.163365 | − | 0.199061i |
(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 | 256.2.m.a.101.29 | ✓ | 992 | |
256.109 | even | 64 | inner | 256.2.m.a.109.29 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
256.2.m.a.101.29 | ✓ | 992 | 1.1 | even | 1 | trivial | |
256.2.m.a.109.29 | yes | 992 | 256.109 | even | 64 | inner |