Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,2,Mod(2,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.g (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.327386648287\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 39.3 | ||
Character | \(\chi\) | \(=\) | 41.39 |
Dual form | 41.2.g.a.20.3 |
$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{3}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14785 | − | 0.372958i | 0.811651 | − | 0.263721i | 0.126354 | − | 0.991985i | \(-0.459673\pi\) |
0.685297 | + | 0.728264i | \(0.259673\pi\) | |||||||
\(3\) | −1.55151 | − | 1.55151i | −0.895766 | − | 0.895766i | 0.0992919 | − | 0.995058i | \(-0.468342\pi\) |
−0.995058 | + | 0.0992919i | \(0.968342\pi\) | |||||||
\(4\) | −0.439578 | + | 0.319372i | −0.219789 | + | 0.159686i | ||||
\(5\) | 1.49595 | + | 2.05900i | 0.669008 | + | 0.920811i | 0.999737 | − | 0.0229146i | \(-0.00729460\pi\) |
−0.330729 | + | 0.943726i | \(0.607295\pi\) | |||||||
\(6\) | −2.35955 | − | 1.20225i | −0.963282 | − | 0.490817i | ||||
\(7\) | −1.01547 | + | 0.517405i | −0.383810 | + | 0.195561i | −0.635240 | − | 0.772314i | \(-0.719099\pi\) |
0.251431 | + | 0.967875i | \(0.419099\pi\) | |||||||
\(8\) | −1.80427 | + | 2.48337i | −0.637907 | + | 0.878004i | ||||
\(9\) | 1.81438i | 0.604795i | ||||||||
\(10\) | 2.48504 | + | 1.80549i | 0.785839 | + | 0.570945i | ||||
\(11\) | −0.807883 | − | 5.10077i | −0.243586 | − | 1.53794i | −0.741642 | − | 0.670795i | \(-0.765953\pi\) |
0.498057 | − | 0.867144i | \(-0.334047\pi\) | |||||||
\(12\) | 1.17752 | + | 0.186501i | 0.339921 | + | 0.0538382i | ||||
\(13\) | 1.17315 | − | 2.30243i | 0.325373 | − | 0.638580i | −0.669147 | − | 0.743130i | \(-0.733340\pi\) |
0.994520 | + | 0.104550i | \(0.0333403\pi\) | |||||||
\(14\) | −0.972629 | + | 0.972629i | −0.259946 | + | 0.259946i | ||||
\(15\) | 0.873576 | − | 5.51554i | 0.225556 | − | 1.42411i | ||||
\(16\) | −0.809030 | + | 2.48994i | −0.202257 | + | 0.622484i | ||||
\(17\) | −3.05576 | + | 0.483986i | −0.741132 | + | 0.117384i | −0.515573 | − | 0.856846i | \(-0.672421\pi\) |
−0.225559 | + | 0.974230i | \(0.572421\pi\) | |||||||
\(18\) | 0.676690 | + | 2.08264i | 0.159497 | + | 0.490882i | ||||
\(19\) | 3.74044 | + | 7.34102i | 0.858115 | + | 1.68415i | 0.720273 | + | 0.693691i | \(0.244017\pi\) |
0.137842 | + | 0.990454i | \(0.455983\pi\) | |||||||
\(20\) | −1.31517 | − | 0.427326i | −0.294082 | − | 0.0955529i | ||||
\(21\) | 2.37827 | + | 0.772746i | 0.518981 | + | 0.168627i | ||||
\(22\) | −2.82970 | − | 5.55360i | −0.603294 | − | 1.18403i | ||||
\(23\) | −1.17869 | − | 3.62763i | −0.245773 | − | 0.756413i | −0.995508 | − | 0.0946746i | \(-0.969819\pi\) |
0.749735 | − | 0.661738i | \(-0.230181\pi\) | |||||||
\(24\) | 6.65233 | − | 1.05363i | 1.35790 | − | 0.215071i | ||||
\(25\) | −0.456519 | + | 1.40502i | −0.0913038 | + | 0.281004i | ||||
\(26\) | 0.487884 | − | 3.08038i | 0.0956819 | − | 0.604112i | ||||
\(27\) | −1.83950 | + | 1.83950i | −0.354011 | + | 0.354011i | ||||
\(28\) | 0.281132 | − | 0.551752i | 0.0531289 | − | 0.104271i | ||||
\(29\) | 5.72573 | + | 0.906866i | 1.06324 | + | 0.168401i | 0.663461 | − | 0.748211i | \(-0.269087\pi\) |
0.399780 | + | 0.916611i | \(0.369087\pi\) | |||||||
\(30\) | −1.05433 | − | 6.65681i | −0.192494 | − | 1.21536i | ||||
\(31\) | 3.65641 | + | 2.65654i | 0.656711 | + | 0.477129i | 0.865551 | − | 0.500821i | \(-0.166969\pi\) |
−0.208840 | + | 0.977950i | \(0.566969\pi\) | |||||||
\(32\) | − | 2.97943i | − | 0.526693i | ||||||
\(33\) | −6.66047 | + | 9.16735i | −1.15944 | + | 1.59583i | ||||
\(34\) | −3.32705 | + | 1.69521i | −0.570584 | + | 0.290727i | ||||
\(35\) | −2.58442 | − | 1.31683i | −0.436847 | − | 0.222584i | ||||
\(36\) | −0.579464 | − | 0.797564i | −0.0965774 | − | 0.132927i | ||||
\(37\) | 0.584132 | − | 0.424397i | 0.0960308 | − | 0.0697704i | −0.538734 | − | 0.842476i | \(-0.681097\pi\) |
0.634765 | + | 0.772706i | \(0.281097\pi\) | |||||||
\(38\) | 7.03134 | + | 7.03134i | 1.14063 | + | 1.14063i | ||||
\(39\) | −5.39241 | + | 1.75210i | −0.863476 | + | 0.280561i | ||||
\(40\) | −7.81235 | −1.23524 | ||||||||
\(41\) | −5.78336 | − | 2.74822i | −0.903210 | − | 0.429200i | ||||
\(42\) | 3.01809 | 0.465702 | ||||||||
\(43\) | 1.75698 | − | 0.570876i | 0.267936 | − | 0.0870578i | −0.171968 | − | 0.985103i | \(-0.555012\pi\) |
0.439904 | + | 0.898045i | \(0.355012\pi\) | |||||||
\(44\) | 1.98417 | + | 1.98417i | 0.299125 | + | 0.299125i | ||||
\(45\) | −3.73581 | + | 2.71423i | −0.556902 | + | 0.404613i | ||||
\(46\) | −2.70591 | − | 3.72436i | −0.398964 | − | 0.549127i | ||||
\(47\) | −3.15704 | − | 1.60859i | −0.460502 | − | 0.234638i | 0.208319 | − | 0.978061i | \(-0.433201\pi\) |
−0.668821 | + | 0.743423i | \(0.733201\pi\) | |||||||
\(48\) | 5.11839 | − | 2.60795i | 0.738776 | − | 0.376425i | ||||
\(49\) | −3.35104 | + | 4.61230i | −0.478719 | + | 0.658901i | ||||
\(50\) | 1.78301i | 0.252156i | ||||||||
\(51\) | 5.49197 | + | 3.99015i | 0.769029 | + | 0.558733i | ||||
\(52\) | 0.219643 | + | 1.38677i | 0.0304590 | + | 0.192310i | ||||
\(53\) | −5.52741 | − | 0.875456i | −0.759249 | − | 0.120253i | −0.235206 | − | 0.971945i | \(-0.575577\pi\) |
−0.524042 | + | 0.851692i | \(0.675577\pi\) | |||||||
\(54\) | −1.42541 | + | 2.79752i | −0.193973 | + | 0.380694i | ||||
\(55\) | 9.29392 | − | 9.29392i | 1.25319 | − | 1.25319i | ||||
\(56\) | 0.547268 | − | 3.45532i | 0.0731318 | − | 0.461736i | ||||
\(57\) | 5.58635 | − | 17.1930i | 0.739930 | − | 2.27727i | ||||
\(58\) | 6.91048 | − | 1.09451i | 0.907391 | − | 0.143717i | ||||
\(59\) | 0.242763 | + | 0.747149i | 0.0316051 | + | 0.0972705i | 0.965615 | − | 0.259977i | \(-0.0837151\pi\) |
−0.934010 | + | 0.357248i | \(0.883715\pi\) | |||||||
\(60\) | 1.37751 | + | 2.70351i | 0.177835 | + | 0.349022i | ||||
\(61\) | 6.70623 | + | 2.17898i | 0.858644 | + | 0.278990i | 0.705062 | − | 0.709145i | \(-0.250919\pi\) |
0.153582 | + | 0.988136i | \(0.450919\pi\) | |||||||
\(62\) | 5.18778 | + | 1.68561i | 0.658849 | + | 0.214073i | ||||
\(63\) | −0.938773 | − | 1.84244i | −0.118274 | − | 0.232126i | ||||
\(64\) | −2.72926 | − | 8.39980i | −0.341158 | − | 1.04997i | ||||
\(65\) | 6.49567 | − | 1.02881i | 0.805689 | − | 0.127609i | ||||
\(66\) | −4.22616 | + | 13.0068i | −0.520205 | + | 1.60103i | ||||
\(67\) | −0.835907 | + | 5.27771i | −0.102122 | + | 0.644774i | 0.882531 | + | 0.470254i | \(0.155838\pi\) |
−0.984654 | + | 0.174521i | \(0.944162\pi\) | |||||||
\(68\) | 1.18868 | − | 1.18868i | 0.144148 | − | 0.144148i | ||||
\(69\) | −3.79956 | + | 7.45706i | −0.457414 | + | 0.897725i | ||||
\(70\) | −3.45764 | − | 0.547637i | −0.413267 | − | 0.0654551i | ||||
\(71\) | 0.708805 | + | 4.47522i | 0.0841197 | + | 0.531111i | 0.993379 | + | 0.114881i | \(0.0366487\pi\) |
−0.909260 | + | 0.416230i | \(0.863351\pi\) | |||||||
\(72\) | −4.50579 | − | 3.27365i | −0.531012 | − | 0.385803i | ||||
\(73\) | 0.149836i | 0.0175369i | 0.999962 | + | 0.00876846i | \(0.00279112\pi\) | ||||
−0.999962 | + | 0.00876846i | \(0.997209\pi\) | |||||||
\(74\) | 0.512213 | − | 0.705000i | 0.0595435 | − | 0.0819546i | ||||
\(75\) | 2.88820 | − | 1.47161i | 0.333501 | − | 0.169927i | ||||
\(76\) | −3.98873 | − | 2.03236i | −0.457539 | − | 0.233128i | ||||
\(77\) | 3.45954 | + | 4.76165i | 0.394251 | + | 0.542641i | ||||
\(78\) | −5.53620 | + | 4.02229i | −0.626851 | + | 0.455434i | ||||
\(79\) | −11.4389 | − | 11.4389i | −1.28698 | − | 1.28698i | −0.936613 | − | 0.350367i | \(-0.886057\pi\) |
−0.350367 | − | 0.936613i | \(-0.613943\pi\) | |||||||
\(80\) | −6.33704 | + | 2.05903i | −0.708502 | + | 0.230206i | ||||
\(81\) | 11.1512 | 1.23902 | ||||||||
\(82\) | −7.66339 | − | 0.997584i | −0.846280 | − | 0.110165i | ||||
\(83\) | 4.27258 | 0.468977 | 0.234488 | − | 0.972119i | \(-0.424659\pi\) | ||||
0.234488 | + | 0.972119i | \(0.424659\pi\) | |||||||
\(84\) | −1.29223 | + | 0.419871i | −0.140994 | + | 0.0458117i | ||||
\(85\) | −5.56779 | − | 5.56779i | −0.603912 | − | 0.603912i | ||||
\(86\) | 1.80383 | − | 1.31056i | 0.194512 | − | 0.141321i | ||||
\(87\) | −7.47653 | − | 10.2906i | −0.801568 | − | 1.10326i | ||||
\(88\) | 14.1247 | + | 7.19691i | 1.50570 | + | 0.767193i | ||||
\(89\) | −1.51781 | + | 0.773362i | −0.160887 | + | 0.0819762i | −0.532580 | − | 0.846380i | \(-0.678777\pi\) |
0.371693 | + | 0.928356i | \(0.378777\pi\) | |||||||
\(90\) | −3.27585 | + | 4.50882i | −0.345305 | + | 0.475271i | ||||
\(91\) | 2.94503i | 0.308723i | ||||||||
\(92\) | 1.67669 | + | 1.21819i | 0.174807 | + | 0.127005i | ||||
\(93\) | −1.55132 | − | 9.79463i | −0.160864 | − | 1.01566i | ||||
\(94\) | −4.22374 | − | 0.668975i | −0.435646 | − | 0.0689995i | ||||
\(95\) | −9.51963 | + | 18.6833i | −0.976694 | + | 1.91687i | ||||
\(96\) | −4.62262 | + | 4.62262i | −0.471794 | + | 0.471794i | ||||
\(97\) | 0.687542 | − | 4.34097i | 0.0698093 | − | 0.440758i | −0.927884 | − | 0.372870i | \(-0.878374\pi\) |
0.997693 | − | 0.0678885i | \(-0.0216262\pi\) | |||||||
\(98\) | −2.12628 | + | 6.54402i | −0.214787 | + | 0.661046i | ||||
\(99\) | 9.25476 | − | 1.46581i | 0.930138 | − | 0.147319i | ||||
\(100\) | −0.248049 | − | 0.763417i | −0.0248049 | − | 0.0763417i | ||||
\(101\) | 1.40554 | + | 2.75854i | 0.139857 | + | 0.274485i | 0.950302 | − | 0.311330i | \(-0.100775\pi\) |
−0.810445 | + | 0.585815i | \(0.800775\pi\) | |||||||
\(102\) | 7.79210 | + | 2.53181i | 0.771533 | + | 0.250686i | ||||
\(103\) | 2.80356 | + | 0.910931i | 0.276243 | + | 0.0897567i | 0.443862 | − | 0.896095i | \(-0.353608\pi\) |
−0.167619 | + | 0.985852i | \(0.553608\pi\) | |||||||
\(104\) | 3.60111 | + | 7.06758i | 0.353118 | + | 0.693033i | ||||
\(105\) | 1.96669 | + | 6.05284i | 0.191929 | + | 0.590696i | ||||
\(106\) | −6.67114 | + | 1.05660i | −0.647958 | + | 0.102626i | ||||
\(107\) | −1.04654 | + | 3.22093i | −0.101173 | + | 0.311379i | −0.988813 | − | 0.149159i | \(-0.952344\pi\) |
0.887640 | + | 0.460538i | \(0.152344\pi\) | |||||||
\(108\) | 0.221119 | − | 1.39609i | 0.0212771 | − | 0.134339i | ||||
\(109\) | 9.65686 | − | 9.65686i | 0.924960 | − | 0.924960i | −0.0724148 | − | 0.997375i | \(-0.523071\pi\) |
0.997375 | + | 0.0724148i | \(0.0230705\pi\) | |||||||
\(110\) | 7.20175 | − | 14.1342i | 0.686660 | − | 1.34765i | ||||
\(111\) | −1.56475 | − | 0.247832i | −0.148519 | − | 0.0235231i | ||||
\(112\) | −0.466765 | − | 2.94704i | −0.0441052 | − | 0.278469i | ||||
\(113\) | −10.7162 | − | 7.78581i | −1.00810 | − | 0.732427i | −0.0442897 | − | 0.999019i | \(-0.514102\pi\) |
−0.963810 | + | 0.266592i | \(0.914102\pi\) | |||||||
\(114\) | − | 21.8184i | − | 2.04348i | ||||||
\(115\) | 5.70602 | − | 7.85366i | 0.532089 | − | 0.732358i | ||||
\(116\) | −2.80653 | + | 1.43000i | −0.260580 | + | 0.132772i | ||||
\(117\) | 4.17750 | + | 2.12854i | 0.386210 | + | 0.196784i | ||||
\(118\) | 0.557310 | + | 0.767072i | 0.0513046 | + | 0.0706147i | ||||
\(119\) | 2.85261 | − | 2.07254i | 0.261498 | − | 0.189989i | ||||
\(120\) | 12.1210 | + | 12.1210i | 1.10649 | + | 1.10649i | ||||
\(121\) | −14.9036 | + | 4.84246i | −1.35487 | + | 0.440223i | ||||
\(122\) | 8.51039 | 0.770495 | ||||||||
\(123\) | 4.70906 | + | 13.2369i | 0.424602 | + | 1.19353i | ||||
\(124\) | −2.45570 | −0.220529 | ||||||||
\(125\) | 8.52661 | − | 2.77046i | 0.762643 | − | 0.247798i | ||||
\(126\) | −1.76472 | − | 1.76472i | −0.157214 | − | 0.157214i | ||||
\(127\) | −10.9310 | + | 7.94181i | −0.969966 | + | 0.704721i | −0.955444 | − | 0.295173i | \(-0.904623\pi\) |
−0.0145221 | + | 0.999895i | \(0.504623\pi\) | |||||||
\(128\) | −2.76302 | − | 3.80298i | −0.244219 | − | 0.336139i | ||||
\(129\) | −3.61169 | − | 1.84025i | −0.317992 | − | 0.162025i | ||||
\(130\) | 7.07233 | − | 3.60353i | 0.620285 | − | 0.316051i | ||||
\(131\) | 6.01522 | − | 8.27923i | 0.525552 | − | 0.723360i | −0.460893 | − | 0.887456i | \(-0.652471\pi\) |
0.986444 | + | 0.164096i | \(0.0524707\pi\) | |||||||
\(132\) | − | 6.15694i | − | 0.535893i | ||||||
\(133\) | −7.59657 | − | 5.51923i | −0.658706 | − | 0.478578i | ||||
\(134\) | 1.00887 | + | 6.36976i | 0.0871532 | + | 0.550263i | ||||
\(135\) | −6.53931 | − | 1.03573i | −0.562814 | − | 0.0891410i | ||||
\(136\) | 4.31152 | − | 8.46184i | 0.369710 | − | 0.725596i | ||||
\(137\) | 4.05839 | − | 4.05839i | 0.346731 | − | 0.346731i | −0.512159 | − | 0.858891i | \(-0.671154\pi\) |
0.858891 | + | 0.512159i | \(0.171154\pi\) | |||||||
\(138\) | −1.58015 | + | 9.97665i | −0.134511 | + | 0.849269i | ||||
\(139\) | −4.98324 | + | 15.3368i | −0.422673 | + | 1.30085i | 0.482532 | + | 0.875878i | \(0.339717\pi\) |
−0.905205 | + | 0.424975i | \(0.860283\pi\) | |||||||
\(140\) | 1.55661 | − | 0.246543i | 0.131558 | − | 0.0208367i | ||||
\(141\) | 2.40244 | + | 7.39395i | 0.202322 | + | 0.622683i | ||||
\(142\) | 2.48267 | + | 4.87251i | 0.208341 | + | 0.408892i | ||||
\(143\) | −12.6919 | − | 4.12386i | −1.06135 | − | 0.344855i | ||||
\(144\) | −4.51770 | − | 1.46789i | −0.376475 | − | 0.122324i | ||||
\(145\) | 6.69816 | + | 13.1459i | 0.556252 | + | 1.09171i | ||||
\(146\) | 0.0558824 | + | 0.171988i | 0.00462486 | + | 0.0142339i | ||||
\(147\) | 12.3552 | − | 1.95688i | 1.01904 | − | 0.161400i | ||||
\(148\) | −0.121231 | + | 0.373111i | −0.00996515 | + | 0.0306696i | ||||
\(149\) | 0.849406 | − | 5.36294i | 0.0695860 | − | 0.439349i | −0.928156 | − | 0.372191i | \(-0.878607\pi\) |
0.997742 | − | 0.0671583i | \(-0.0213932\pi\) | |||||||
\(150\) | 2.76637 | − | 2.76637i | 0.225873 | − | 0.225873i | ||||
\(151\) | 1.53796 | − | 3.01842i | 0.125158 | − | 0.245636i | −0.819922 | − | 0.572475i | \(-0.805983\pi\) |
0.945080 | + | 0.326839i | \(0.105983\pi\) | |||||||
\(152\) | −24.9792 | − | 3.95632i | −2.02608 | − | 0.320900i | ||||
\(153\) | −0.878136 | − | 5.54433i | −0.0709931 | − | 0.448233i | ||||
\(154\) | 5.74692 | + | 4.17538i | 0.463100 | + | 0.336462i | ||||
\(155\) | 11.5026i | 0.923910i | ||||||||
\(156\) | 1.81081 | − | 2.49237i | 0.144981 | − | 0.199549i | ||||
\(157\) | −9.01316 | + | 4.59244i | −0.719329 | + | 0.366516i | −0.775024 | − | 0.631931i | \(-0.782262\pi\) |
0.0556954 | + | 0.998448i | \(0.482262\pi\) | |||||||
\(158\) | −17.3964 | − | 8.86390i | −1.38398 | − | 0.705174i | ||||
\(159\) | 7.21757 | + | 9.93413i | 0.572391 | + | 0.787828i | ||||
\(160\) | 6.13463 | − | 4.45707i | 0.484985 | − | 0.352362i | ||||
\(161\) | 3.07387 | + | 3.07387i | 0.242255 | + | 0.242255i | ||||
\(162\) | 12.7998 | − | 4.15892i | 1.00565 | − | 0.326755i | ||||
\(163\) | 18.7430 | 1.46807 | 0.734033 | − | 0.679113i | \(-0.237635\pi\) | ||||
0.734033 | + | 0.679113i | \(0.237635\pi\) | |||||||
\(164\) | 3.41995 | − | 0.638988i | 0.267053 | − | 0.0498966i | ||||
\(165\) | −28.8393 | −2.24513 | ||||||||
\(166\) | 4.90427 | − | 1.59349i | 0.380645 | − | 0.123679i | ||||
\(167\) | 2.16228 | + | 2.16228i | 0.167322 | + | 0.167322i | 0.785801 | − | 0.618479i | \(-0.212251\pi\) |
−0.618479 | + | 0.785801i | \(0.712251\pi\) | |||||||
\(168\) | −6.21006 | + | 4.51187i | −0.479117 | + | 0.348099i | ||||
\(169\) | 3.71629 | + | 5.11503i | 0.285868 | + | 0.393464i | ||||
\(170\) | −8.46753 | − | 4.31442i | −0.649430 | − | 0.330901i | ||||
\(171\) | −13.3194 | + | 6.78659i | −1.01856 | + | 0.518983i | ||||
\(172\) | −0.590006 | + | 0.812074i | −0.0449876 | + | 0.0619201i | ||||
\(173\) | − | 10.5897i | − | 0.805117i | −0.915394 | − | 0.402558i | \(-0.868121\pi\) | ||
0.915394 | − | 0.402558i | \(-0.131879\pi\) | |||||||
\(174\) | −12.4199 | − | 9.02355i | −0.941547 | − | 0.684074i | ||||
\(175\) | −0.263386 | − | 1.66296i | −0.0199101 | − | 0.125708i | ||||
\(176\) | 13.3542 | + | 2.11510i | 1.00661 | + | 0.159431i | ||||
\(177\) | 0.782560 | − | 1.53586i | 0.0588208 | − | 0.115442i | ||||
\(178\) | −1.45378 | + | 1.45378i | −0.108965 | + | 0.108965i | ||||
\(179\) | −0.298749 | + | 1.88623i | −0.0223295 | + | 0.140983i | −0.996334 | − | 0.0855440i | \(-0.972737\pi\) |
0.974005 | + | 0.226527i | \(0.0727372\pi\) | |||||||
\(180\) | 0.775333 | − | 2.38623i | 0.0577899 | − | 0.177859i | ||||
\(181\) | −5.82173 | + | 0.922071i | −0.432726 | + | 0.0685370i | −0.368998 | − | 0.929430i | \(-0.620299\pi\) |
−0.0637279 | + | 0.997967i | \(0.520299\pi\) | |||||||
\(182\) | 1.09837 | + | 3.38045i | 0.0814169 | + | 0.250576i | ||||
\(183\) | −7.02407 | − | 13.7855i | −0.519234 | − | 1.01905i | ||||
\(184\) | 11.1354 | + | 3.61812i | 0.820914 | + | 0.266731i | ||||
\(185\) | 1.74766 | + | 0.567850i | 0.128491 | + | 0.0417492i | ||||
\(186\) | −5.43366 | − | 10.6642i | −0.398415 | − | 0.781934i | ||||
\(187\) | 4.93740 | + | 15.1957i | 0.361058 | + | 1.11122i | ||||
\(188\) | 1.90151 | − | 0.301169i | 0.138682 | − | 0.0219650i | ||||
\(189\) | 0.916180 | − | 2.81971i | 0.0666423 | − | 0.205104i | ||||
\(190\) | −3.95898 | + | 24.9960i | −0.287215 | + | 1.81340i | ||||
\(191\) | −2.23597 | + | 2.23597i | −0.161789 | + | 0.161789i | −0.783359 | − | 0.621570i | \(-0.786495\pi\) |
0.621570 | + | 0.783359i | \(0.286495\pi\) | |||||||
\(192\) | −8.79791 | + | 17.2669i | −0.634935 | + | 1.24613i | ||||
\(193\) | 15.5972 | + | 2.47036i | 1.12271 | + | 0.177820i | 0.690068 | − | 0.723744i | \(-0.257580\pi\) |
0.432645 | + | 0.901565i | \(0.357580\pi\) | |||||||
\(194\) | −0.829806 | − | 5.23919i | −0.0595766 | − | 0.376152i | ||||
\(195\) | −11.6743 | − | 8.48190i | −0.836016 | − | 0.607401i | ||||
\(196\) | − | 3.09770i | − | 0.221264i | ||||||
\(197\) | 2.67161 | − | 3.67715i | 0.190344 | − | 0.261986i | −0.703170 | − | 0.711022i | \(-0.748233\pi\) |
0.893514 | + | 0.449036i | \(0.148233\pi\) | |||||||
\(198\) | 10.0764 | − | 5.13416i | 0.716096 | − | 0.364869i | ||||
\(199\) | 8.00456 | + | 4.07852i | 0.567428 | + | 0.289119i | 0.714074 | − | 0.700070i | \(-0.246848\pi\) |
−0.146646 | + | 0.989189i | \(0.546848\pi\) | |||||||
\(200\) | −2.66550 | − | 3.66875i | −0.188479 | − | 0.259420i | ||||
\(201\) | 9.48535 | − | 6.89151i | 0.669045 | − | 0.486090i | ||||
\(202\) | 2.64217 | + | 2.64217i | 0.185902 | + | 0.185902i | ||||
\(203\) | −6.28350 | + | 2.04163i | −0.441015 | + | 0.143294i | ||||
\(204\) | −3.68849 | −0.258246 | ||||||||
\(205\) | −2.99304 | − | 16.0191i | −0.209043 | − | 1.11882i | ||||
\(206\) | 3.55779 | 0.247883 | ||||||||
\(207\) | 6.58192 | − | 2.13859i | 0.457475 | − | 0.148643i | ||||
\(208\) | 4.78380 | + | 4.78380i | 0.331697 | + | 0.331697i | ||||
\(209\) | 34.4230 | − | 25.0098i | 2.38109 | − | 1.72996i | ||||
\(210\) | 4.51491 | + | 6.21424i | 0.311558 | + | 0.428823i | ||||
\(211\) | 5.75578 | + | 2.93272i | 0.396245 | + | 0.201897i | 0.640747 | − | 0.767752i | \(-0.278625\pi\) |
−0.244503 | + | 0.969649i | \(0.578625\pi\) | |||||||
\(212\) | 2.70933 | − | 1.38047i | 0.186077 | − | 0.0948112i | ||||
\(213\) | 5.84364 | − | 8.04308i | 0.400399 | − | 0.551103i | ||||
\(214\) | 4.08746i | 0.279413i | ||||||||
\(215\) | 3.80378 | + | 2.76361i | 0.259415 | + | 0.188476i | ||||
\(216\) | −1.24920 | − | 7.88711i | −0.0849970 | − | 0.536650i | ||||
\(217\) | −5.08747 | − | 0.805776i | −0.345360 | − | 0.0546996i | ||||
\(218\) | 7.48300 | − | 14.6862i | 0.506813 | − | 0.994676i | ||||
\(219\) | 0.232472 | − | 0.232472i | 0.0157090 | − | 0.0157090i | ||||
\(220\) | −1.11718 | + | 7.05362i | −0.0753205 | + | 0.475555i | ||||
\(221\) | −2.47052 | + | 7.60348i | −0.166185 | + | 0.511465i | ||||
\(222\) | −1.88852 | + | 0.299112i | −0.126749 | + | 0.0200751i | ||||
\(223\) | −1.26478 | − | 3.89258i | −0.0846956 | − | 0.260666i | 0.899736 | − | 0.436435i | \(-0.143759\pi\) |
−0.984432 | + | 0.175768i | \(0.943759\pi\) | |||||||
\(224\) | 1.54157 | + | 3.02550i | 0.103001 | + | 0.202150i | ||||
\(225\) | −2.54925 | − | 0.828302i | −0.169950 | − | 0.0552201i | ||||
\(226\) | −15.2044 | − | 4.94021i | −1.01138 | − | 0.328618i | ||||
\(227\) | −0.260675 | − | 0.511604i | −0.0173016 | − | 0.0339564i | 0.882194 | − | 0.470886i | \(-0.156066\pi\) |
−0.899496 | + | 0.436930i | \(0.856066\pi\) | |||||||
\(228\) | 3.03534 | + | 9.34180i | 0.201020 | + | 0.618676i | ||||
\(229\) | −23.7418 | + | 3.76033i | −1.56890 | + | 0.248490i | −0.879504 | − | 0.475892i | \(-0.842125\pi\) |
−0.689399 | + | 0.724382i | \(0.742125\pi\) | |||||||
\(230\) | 3.62055 | − | 11.1429i | 0.238732 | − | 0.734742i | ||||
\(231\) | 2.02024 | − | 12.7553i | 0.132922 | − | 0.839236i | ||||
\(232\) | −12.5829 | + | 12.5829i | −0.826105 | + | 0.826105i | ||||
\(233\) | −5.63580 | + | 11.0609i | −0.369213 | + | 0.724622i | −0.998623 | − | 0.0524514i | \(-0.983297\pi\) |
0.629410 | + | 0.777073i | \(0.283297\pi\) | |||||||
\(234\) | 5.58899 | + | 0.885209i | 0.365364 | + | 0.0578679i | ||||
\(235\) | −1.41069 | − | 8.90672i | −0.0920230 | − | 0.581010i | ||||
\(236\) | −0.345332 | − | 0.250898i | −0.0224792 | − | 0.0163321i | ||||
\(237\) | 35.4953i | 2.30567i | ||||||||
\(238\) | 2.50139 | − | 3.44286i | 0.162141 | − | 0.223168i | ||||
\(239\) | −6.04489 | + | 3.08002i | −0.391011 | + | 0.199230i | −0.638433 | − | 0.769678i | \(-0.720417\pi\) |
0.247421 | + | 0.968908i | \(0.420417\pi\) | |||||||
\(240\) | 13.0266 | + | 6.63739i | 0.840864 | + | 0.428441i | ||||
\(241\) | −11.2730 | − | 15.5159i | −0.726155 | − | 0.999467i | −0.999297 | − | 0.0374932i | \(-0.988063\pi\) |
0.273142 | − | 0.961974i | \(-0.411937\pi\) | |||||||
\(242\) | −15.3010 | + | 11.1168i | −0.983584 | + | 0.714615i | ||||
\(243\) | −11.7827 | − | 11.7827i | −0.755859 | − | 0.755859i | ||||
\(244\) | −3.64382 | + | 1.18395i | −0.233272 | + | 0.0757945i | ||||
\(245\) | −14.5097 | −0.926990 | ||||||||
\(246\) | 10.3421 | + | 13.4376i | 0.659387 | + | 0.856751i | ||||
\(247\) | 21.2903 | 1.35467 | ||||||||
\(248\) | −13.1943 | + | 4.28710i | −0.837841 | + | 0.272231i | ||||
\(249\) | −6.62896 | − | 6.62896i | −0.420093 | − | 0.420093i | ||||
\(250\) | 8.75398 | − | 6.36014i | 0.553650 | − | 0.402251i | ||||
\(251\) | 1.10805 | + | 1.52510i | 0.0699397 | + | 0.0962637i | 0.842554 | − | 0.538612i | \(-0.181051\pi\) |
−0.772614 | + | 0.634876i | \(0.781051\pi\) | |||||||
\(252\) | 1.00109 | + | 0.510081i | 0.0630627 | + | 0.0321321i | ||||
\(253\) | −17.5515 | + | 8.94292i | −1.10345 | + | 0.562236i | ||||
\(254\) | −9.58511 | + | 13.1928i | −0.601423 | + | 0.827788i | ||||
\(255\) | 17.2770i | 1.08193i | ||||||||
\(256\) | 9.70071 | + | 7.04798i | 0.606294 | + | 0.440499i | ||||
\(257\) | 4.37877 | + | 27.6464i | 0.273140 | + | 1.72454i | 0.618256 | + | 0.785977i | \(0.287840\pi\) |
−0.345116 | + | 0.938560i | \(0.612160\pi\) | |||||||
\(258\) | −4.83201 | − | 0.765315i | −0.300828 | − | 0.0476464i | ||||
\(259\) | −0.373581 | + | 0.733194i | −0.0232132 | + | 0.0455584i | ||||
\(260\) | −2.52678 | + | 2.52678i | −0.156704 | + | 0.156704i | ||||
\(261\) | −1.64540 | + | 10.3887i | −0.101848 | + | 0.643043i | ||||
\(262\) | 3.81674 | − | 11.7467i | 0.235799 | − | 0.725715i | ||||
\(263\) | 4.08854 | − | 0.647561i | 0.252110 | − | 0.0399303i | −0.0291002 | − | 0.999576i | \(-0.509264\pi\) |
0.281210 | + | 0.959646i | \(0.409264\pi\) | |||||||
\(264\) | −10.7486 | − | 33.0808i | −0.661531 | − | 2.03598i | ||||
\(265\) | −6.46616 | − | 12.6906i | −0.397213 | − | 0.779575i | ||||
\(266\) | −10.7781 | − | 3.50203i | −0.660850 | − | 0.214723i | ||||
\(267\) | 3.55478 | + | 1.15502i | 0.217549 | + | 0.0706860i | ||||
\(268\) | −1.31811 | − | 2.58693i | −0.0805162 | − | 0.158022i | ||||
\(269\) | −9.19596 | − | 28.3022i | −0.560687 | − | 1.72562i | −0.680430 | − | 0.732813i | \(-0.738207\pi\) |
0.119742 | − | 0.992805i | \(-0.461793\pi\) | |||||||
\(270\) | −7.89241 | + | 1.25004i | −0.480317 | + | 0.0760747i | ||||
\(271\) | 7.16633 | − | 22.0557i | 0.435324 | − | 1.33979i | −0.457431 | − | 0.889245i | \(-0.651230\pi\) |
0.892754 | − | 0.450544i | \(-0.148770\pi\) | |||||||
\(272\) | 1.26711 | − | 8.00022i | 0.0768299 | − | 0.485085i | ||||
\(273\) | 4.56926 | − | 4.56926i | 0.276544 | − | 0.276544i | ||||
\(274\) | 3.14480 | − | 6.17202i | 0.189984 | − | 0.372865i | ||||
\(275\) | 7.53551 | + | 1.19351i | 0.454408 | + | 0.0719712i | ||||
\(276\) | −0.711374 | − | 4.49144i | −0.0428197 | − | 0.270353i | ||||
\(277\) | 20.0368 | + | 14.5576i | 1.20389 | + | 0.874680i | 0.994662 | − | 0.103187i | \(-0.0329039\pi\) |
0.209231 | + | 0.977866i | \(0.432904\pi\) | |||||||
\(278\) | 19.4629i | 1.16731i | ||||||||
\(279\) | −4.81998 | + | 6.63414i | −0.288565 | + | 0.397176i | ||||
\(280\) | 7.93317 | − | 4.04215i | 0.474098 | − | 0.241565i | ||||
\(281\) | −0.189482 | − | 0.0965459i | −0.0113035 | − | 0.00575945i | 0.448330 | − | 0.893868i | \(-0.352019\pi\) |
−0.459633 | + | 0.888109i | \(0.652019\pi\) | |||||||
\(282\) | 5.51527 | + | 7.59112i | 0.328429 | + | 0.452044i | ||||
\(283\) | 8.92649 | − | 6.48547i | 0.530625 | − | 0.385521i | −0.289967 | − | 0.957037i | \(-0.593644\pi\) |
0.820591 | + | 0.571515i | \(0.193644\pi\) | |||||||
\(284\) | −1.74084 | − | 1.74084i | −0.103300 | − | 0.103300i | ||||
\(285\) | 43.7573 | − | 14.2176i | 2.59196 | − | 0.842178i | ||||
\(286\) | −16.1064 | −0.952394 | ||||||||
\(287\) | 7.29475 | − | 0.201622i | 0.430595 | − | 0.0119014i | ||||
\(288\) | 5.40582 | 0.318541 | ||||||||
\(289\) | −7.06450 | + | 2.29540i | −0.415559 | + | 0.135023i | ||||
\(290\) | 12.5913 | + | 12.5913i | 0.739388 | + | 0.739388i | ||||
\(291\) | −7.80180 | + | 5.66834i | −0.457349 | + | 0.332284i | ||||
\(292\) | −0.0478533 | − | 0.0658645i | −0.00280040 | − | 0.00385443i | ||||
\(293\) | 6.77986 | + | 3.45451i | 0.396083 | + | 0.201815i | 0.640676 | − | 0.767811i | \(-0.278654\pi\) |
−0.244593 | + | 0.969626i | \(0.578654\pi\) | |||||||
\(294\) | 13.4521 | − | 6.85418i | 0.784541 | − | 0.399744i | ||||
\(295\) | −1.17521 | + | 1.61754i | −0.0684237 | + | 0.0941771i | ||||
\(296\) | 2.21635i | 0.128822i | ||||||||
\(297\) | 10.8689 | + | 7.89675i | 0.630680 | + | 0.458216i | ||||
\(298\) | −1.02516 | − | 6.47263i | −0.0593861 | − | 0.374949i | ||||
\(299\) | −9.73515 | − | 1.54190i | −0.562998 | − | 0.0891702i | ||||
\(300\) | −0.799599 | + | 1.56930i | −0.0461649 | + | 0.0906037i | ||||
\(301\) | −1.48877 | + | 1.48877i | −0.0858115 | + | 0.0858115i | ||||
\(302\) | 0.639602 | − | 4.03829i | 0.0368049 | − | 0.232377i | ||||
\(303\) | 2.09919 | − | 6.46063i | 0.120595 | − | 0.371153i | ||||
\(304\) | −21.3048 | + | 3.37435i | −1.22191 | + | 0.193532i | ||||
\(305\) | 5.54565 | + | 17.0677i | 0.317543 | + | 0.977296i | ||||
\(306\) | −3.07577 | − | 6.03654i | −0.175830 | − | 0.345086i | ||||
\(307\) | −29.8761 | − | 9.70732i | −1.70512 | − | 0.554026i | −0.715608 | − | 0.698502i | \(-0.753850\pi\) |
−0.989508 | + | 0.144476i | \(0.953850\pi\) | |||||||
\(308\) | −3.04148 | − | 0.988237i | −0.173304 | − | 0.0563100i | ||||
\(309\) | −2.93643 | − | 5.76308i | −0.167048 | − | 0.327850i | ||||
\(310\) | 4.28998 | + | 13.2032i | 0.243655 | + | 0.749892i | ||||
\(311\) | 14.5714 | − | 2.30789i | 0.826270 | − | 0.130868i | 0.271043 | − | 0.962567i | \(-0.412631\pi\) |
0.555227 | + | 0.831699i | \(0.312631\pi\) | |||||||
\(312\) | 5.37827 | − | 16.5526i | 0.304485 | − | 0.937107i | ||||
\(313\) | −2.59799 | + | 16.4031i | −0.146847 | + | 0.927155i | 0.798714 | + | 0.601711i | \(0.205514\pi\) |
−0.945561 | + | 0.325445i | \(0.894486\pi\) | |||||||
\(314\) | −8.63295 | + | 8.63295i | −0.487186 | + | 0.487186i | ||||
\(315\) | 2.38923 | − | 4.68913i | 0.134618 | − | 0.264203i | ||||
\(316\) | 8.68158 | + | 1.37503i | 0.488377 | + | 0.0773513i | ||||
\(317\) | 5.09527 | + | 32.1703i | 0.286179 | + | 1.80686i | 0.542264 | + | 0.840208i | \(0.317567\pi\) |
−0.256085 | + | 0.966654i | \(0.582433\pi\) | |||||||
\(318\) | 11.9897 | + | 8.71102i | 0.672348 | + | 0.488490i | ||||
\(319\) | − | 29.9383i | − | 1.67622i | ||||||
\(320\) | 13.2123 | − | 18.1852i | 0.738591 | − | 1.01658i | ||||
\(321\) | 6.62105 | − | 3.37359i | 0.369551 | − | 0.188296i | ||||
\(322\) | 4.67476 | + | 2.38191i | 0.260514 | + | 0.132739i | ||||
\(323\) | −14.9828 | − | 20.6221i | −0.833667 | − | 1.14744i | ||||
\(324\) | −4.90181 | + | 3.56137i | −0.272323 | + | 0.197854i | ||||
\(325\) | 2.69940 | + | 2.69940i | 0.149736 | + | 0.149736i | ||||
\(326\) | 21.5141 | − | 6.99036i | 1.19156 | − | 0.387160i | ||||
\(327\) | −29.9655 | −1.65710 | ||||||||
\(328\) | 17.2596 | − | 9.40369i | 0.953003 | − | 0.519232i | ||||
\(329\) | 4.03816 | 0.222631 | ||||||||
\(330\) | −33.1031 | + | 10.7558i | −1.82226 | + | 0.592089i | ||||
\(331\) | −1.33145 | − | 1.33145i | −0.0731829 | − | 0.0731829i | 0.669568 | − | 0.742751i | \(-0.266479\pi\) |
−0.742751 | + | 0.669568i | \(0.766479\pi\) | |||||||
\(332\) | −1.87813 | + | 1.36454i | −0.103076 | + | 0.0748891i | ||||
\(333\) | 0.770020 | + | 1.05984i | 0.0421968 | + | 0.0580789i | ||||
\(334\) | 3.28840 | + | 1.67553i | 0.179934 | + | 0.0916807i | ||||
\(335\) | −12.1173 | + | 6.17405i | −0.662036 | + | 0.337324i | ||||
\(336\) | −3.84818 | + | 5.29657i | −0.209935 | + | 0.288951i | ||||
\(337\) | − | 29.3757i | − | 1.60020i | −0.599870 | − | 0.800098i | \(-0.704781\pi\) | ||
0.599870 | − | 0.800098i | \(-0.295219\pi\) | |||||||
\(338\) | 6.17342 | + | 4.48526i | 0.335790 | + | 0.243966i | ||||
\(339\) | 4.54661 | + | 28.7062i | 0.246938 | + | 1.55910i | ||||
\(340\) | 4.22568 | + | 0.669282i | 0.229170 | + | 0.0362969i | ||||
\(341\) | 10.5964 | − | 20.7967i | 0.573830 | − | 1.12620i | ||||
\(342\) | −12.7576 | + | 12.7576i | −0.689850 | + | 0.689850i | ||||
\(343\) | 2.26443 | − | 14.2970i | 0.122268 | − | 0.771968i | ||||
\(344\) | −1.75237 | + | 5.39324i | −0.0944814 | + | 0.290784i | ||||
\(345\) | −21.0380 | + | 3.33209i | −1.13265 | + | 0.179394i | ||||
\(346\) | −3.94950 | − | 12.1553i | −0.212326 | − | 0.653473i | ||||
\(347\) | −12.7217 | − | 24.9677i | −0.682936 | − | 1.34034i | −0.928636 | − | 0.370992i | \(-0.879018\pi\) |
0.245700 | − | 0.969346i | \(-0.420982\pi\) | |||||||
\(348\) | 6.57304 | + | 2.13571i | 0.352352 | + | 0.114486i | ||||
\(349\) | 19.4391 | + | 6.31615i | 1.04055 | + | 0.338096i | 0.778954 | − | 0.627081i | \(-0.215751\pi\) |
0.261598 | + | 0.965177i | \(0.415751\pi\) | |||||||
\(350\) | −0.922541 | − | 1.81059i | −0.0493119 | − | 0.0967800i | ||||
\(351\) | 2.07732 | + | 6.39332i | 0.110879 | + | 0.341250i | ||||
\(352\) | −15.1974 | + | 2.40703i | −0.810022 | + | 0.128295i | ||||
\(353\) | −8.94631 | + | 27.5339i | −0.476164 | + | 1.46548i | 0.368217 | + | 0.929740i | \(0.379968\pi\) |
−0.844381 | + | 0.535743i | \(0.820032\pi\) | |||||||
\(354\) | 0.325448 | − | 2.05480i | 0.0172974 | − | 0.109211i | ||||
\(355\) | −8.15412 | + | 8.15412i | −0.432776 | + | 0.432776i | ||||
\(356\) | 0.420205 | − | 0.824699i | 0.0222708 | − | 0.0437090i | ||||
\(357\) | −7.64143 | − | 1.21028i | −0.404427 | − | 0.0640550i | ||||
\(358\) | 0.360565 | + | 2.27652i | 0.0190565 | + | 0.120318i | ||||
\(359\) | 17.5745 | + | 12.7687i | 0.927549 | + | 0.673904i | 0.945391 | − | 0.325937i | \(-0.105680\pi\) |
−0.0178425 | + | 0.999841i | \(0.505680\pi\) | |||||||
\(360\) | − | 14.1746i | − | 0.747067i | ||||||
\(361\) | −28.7318 | + | 39.5459i | −1.51220 | + | 2.08136i | ||||
\(362\) | −6.33856 | + | 3.22966i | −0.333147 | + | 0.169747i | ||||
\(363\) | 30.6362 | + | 15.6099i | 1.60798 | + | 0.819308i | ||||
\(364\) | −0.940562 | − | 1.29457i | −0.0492989 | − | 0.0678541i | ||||
\(365\) | −0.308511 | + | 0.224146i | −0.0161482 | + | 0.0117324i | ||||
\(366\) | −13.2040 | − | 13.2040i | −0.690183 | − | 0.690183i | ||||
\(367\) | 16.4047 | − | 5.33020i | 0.856316 | − | 0.278234i | 0.152227 | − | 0.988346i | \(-0.451355\pi\) |
0.704089 | + | 0.710112i | \(0.251355\pi\) | |||||||
\(368\) | 9.98616 | 0.520565 | ||||||||
\(369\) | 4.98633 | − | 10.4932i | 0.259578 | − | 0.546257i | ||||
\(370\) | 2.21784 | 0.115300 | ||||||||
\(371\) | 6.06586 | − | 1.97092i | 0.314924 | − | 0.102325i | ||||
\(372\) | 3.81006 | + | 3.81006i | 0.197542 | + | 0.197542i | ||||
\(373\) | −13.7898 | + | 10.0189i | −0.714007 | + | 0.518756i | −0.884464 | − | 0.466609i | \(-0.845476\pi\) |
0.170457 | + | 0.985365i | \(0.445476\pi\) | |||||||
\(374\) | 11.3348 | + | 15.6010i | 0.586106 | + | 0.806706i | ||||
\(375\) | −17.5276 | − | 8.93074i | −0.905119 | − | 0.461181i | ||||
\(376\) | 9.69091 | − | 4.93776i | 0.499770 | − | 0.254646i | ||||
\(377\) | 8.80513 | − | 12.1192i | 0.453487 | − | 0.624171i | ||||
\(378\) | − | 3.57830i | − | 0.184048i | ||||||
\(379\) | −29.9726 | − | 21.7764i | −1.53959 | − | 1.11858i | −0.950593 | − | 0.310439i | \(-0.899524\pi\) |
−0.588995 | − | 0.808137i | \(-0.700476\pi\) | |||||||
\(380\) | −1.78231 | − | 11.2531i | −0.0914308 | − | 0.577271i | ||||
\(381\) | 29.2813 | + | 4.63771i | 1.50013 | + | 0.237597i | ||||
\(382\) | −1.73263 | + | 3.40048i | −0.0886491 | + | 0.173984i | ||||
\(383\) | −23.8870 | + | 23.8870i | −1.22057 | + | 1.22057i | −0.253137 | + | 0.967430i | \(0.581462\pi\) |
−0.967430 | + | 0.253137i | \(0.918538\pi\) | |||||||
\(384\) | −1.61350 | + | 10.1872i | −0.0823385 | + | 0.519865i | ||||
\(385\) | −4.62893 | + | 14.2464i | −0.235912 | + | 0.726062i | ||||
\(386\) | 18.8246 | − | 2.98152i | 0.958146 | − | 0.151755i | ||||
\(387\) | 1.03579 | + | 3.18783i | 0.0526521 | + | 0.162046i | ||||
\(388\) | 1.08416 | + | 2.12778i | 0.0550397 | + | 0.108021i | ||||
\(389\) | −8.46056 | − | 2.74900i | −0.428967 | − | 0.139380i | 0.0865726 | − | 0.996246i | \(-0.472409\pi\) |
−0.515540 | + | 0.856866i | \(0.672409\pi\) | |||||||
\(390\) | −16.5637 | − | 5.38189i | −0.838738 | − | 0.272522i | ||||
\(391\) | 5.35751 | + | 10.5147i | 0.270941 | + | 0.531752i | ||||
\(392\) | −5.40787 | − | 16.6437i | −0.273139 | − | 0.840635i | ||||
\(393\) | −22.1780 | + | 3.51265i | −1.11873 | + | 0.177190i | ||||
\(394\) | 1.69517 | − | 5.21721i | 0.0854016 | − | 0.262839i | ||||
\(395\) | 6.44066 | − | 40.6647i | 0.324065 | − | 2.04606i | ||||
\(396\) | −3.60005 | + | 3.60005i | −0.180909 | + | 0.180909i | ||||
\(397\) | 3.80671 | − | 7.47109i | 0.191053 | − | 0.374963i | −0.775532 | − | 0.631308i | \(-0.782518\pi\) |
0.966585 | + | 0.256345i | \(0.0825183\pi\) | |||||||
\(398\) | 10.7091 | + | 1.69616i | 0.536800 | + | 0.0850208i | ||||
\(399\) | 3.22302 | + | 20.3493i | 0.161353 | + | 1.01874i | ||||
\(400\) | −3.12908 | − | 2.27341i | −0.156454 | − | 0.113670i | ||||
\(401\) | 24.8940i | 1.24315i | 0.783356 | + | 0.621573i | \(0.213506\pi\) | ||||
−0.783356 | + | 0.621573i | \(0.786494\pi\) | |||||||
\(402\) | 8.31749 | − | 11.4480i | 0.414839 | − | 0.570976i | ||||
\(403\) | 10.4060 | − | 5.30213i | 0.518361 | − | 0.264118i | ||||
\(404\) | −1.49885 | − | 0.763701i | −0.0745705 | − | 0.0379955i | ||||
\(405\) | 16.6816 | + | 22.9602i | 0.828914 | + | 1.14090i | ||||
\(406\) | −6.45105 | + | 4.68696i | −0.320160 | + | 0.232610i | ||||
\(407\) | −2.63666 | − | 2.63666i | −0.130694 | − | 0.130694i | ||||
\(408\) | −19.8180 | + | 6.43927i | −0.981139 | + | 0.318791i | ||||
\(409\) | −8.75194 | −0.432756 | −0.216378 | − | 0.976310i | \(-0.569424\pi\) | ||||
−0.216378 | + | 0.976310i | \(0.569424\pi\) | |||||||
\(410\) | −9.41001 | − | 17.2712i | −0.464727 | − | 0.852965i | ||||
\(411\) | −12.5933 | −0.621181 | ||||||||
\(412\) | −1.52331 | + | 0.494953i | −0.0750480 | + | 0.0243846i | ||||
\(413\) | −0.633096 | − | 0.633096i | −0.0311526 | − | 0.0311526i | ||||
\(414\) | 6.75743 | − | 4.90956i | 0.332109 | − | 0.241292i | ||||
\(415\) | 6.39156 | + | 8.79722i | 0.313749 | + | 0.431839i | ||||
\(416\) | −6.85993 | − | 3.49531i | −0.336336 | − | 0.171372i | ||||
\(417\) | 31.5269 | − | 16.0637i | 1.54388 | − | 0.786645i | ||||
\(418\) | 30.1848 | − | 41.5458i | 1.47638 | − | 2.03207i | ||||
\(419\) | 24.9286i | 1.21784i | 0.793232 | + | 0.608920i | \(0.208397\pi\) | ||||
−0.793232 | + | 0.608920i | \(0.791603\pi\) | |||||||
\(420\) | −2.79762 | − | 2.03259i | −0.136510 | − | 0.0991803i | ||||
\(421\) | −1.70359 | − | 10.7560i | −0.0830279 | − | 0.524217i | −0.993789 | − | 0.111283i | \(-0.964504\pi\) |
0.910761 | − | 0.412934i | \(-0.135496\pi\) | |||||||
\(422\) | 7.70054 | + | 1.21965i | 0.374857 | + | 0.0593714i | ||||
\(423\) | 2.91861 | − | 5.72809i | 0.141908 | − | 0.278509i | ||||
\(424\) | 12.1470 | − | 12.1470i | 0.589913 | − | 0.589913i | ||||
\(425\) | 0.715005 | − | 4.51436i | 0.0346828 | − | 0.218979i | ||||
\(426\) | 3.70787 | − | 11.4117i | 0.179647 | − | 0.552897i | ||||
\(427\) | −7.93736 | + | 1.25715i | −0.384116 | + | 0.0608380i | ||||
\(428\) | −0.568639 | − | 1.75009i | −0.0274862 | − | 0.0845938i | ||||
\(429\) | 13.2935 | + | 26.0899i | 0.641816 | + | 1.25963i | ||||
\(430\) | 5.39686 | + | 1.75355i | 0.260260 | + | 0.0845636i | ||||
\(431\) | −18.5078 | − | 6.01355i | −0.891490 | − | 0.289663i | −0.172770 | − | 0.984962i | \(-0.555272\pi\) |
−0.718720 | + | 0.695300i | \(0.755272\pi\) | |||||||
\(432\) | −3.09202 | − | 6.06844i | −0.148765 | − | 0.291968i | ||||
\(433\) | −1.43880 | − | 4.42816i | −0.0691441 | − | 0.212804i | 0.910514 | − | 0.413479i | \(-0.135686\pi\) |
−0.979658 | + | 0.200675i | \(0.935686\pi\) | |||||||
\(434\) | −6.14016 | + | 0.972505i | −0.294737 | + | 0.0466818i | ||||
\(435\) | 10.0037 | − | 30.7883i | 0.479642 | − | 1.47618i | ||||
\(436\) | −1.16081 | + | 7.32908i | −0.0555928 | + | 0.350999i | ||||
\(437\) | 22.2217 | − | 22.2217i | 1.06301 | − | 1.06301i | ||||
\(438\) | 0.180140 | − | 0.353544i | 0.00860742 | − | 0.0168930i | ||||
\(439\) | 12.3177 | + | 1.95093i | 0.587891 | + | 0.0931127i | 0.443291 | − | 0.896378i | \(-0.353811\pi\) |
0.144599 | + | 0.989490i | \(0.453811\pi\) | |||||||
\(440\) | 6.31146 | + | 39.8490i | 0.300887 | + | 1.89973i | ||||
\(441\) | −8.36849 | − | 6.08007i | −0.398500 | − | 0.289527i | ||||
\(442\) | 9.64904i | 0.458958i | ||||||||
\(443\) | 8.10317 | − | 11.1531i | 0.384993 | − | 0.529897i | −0.571906 | − | 0.820319i | \(-0.693796\pi\) |
0.956899 | + | 0.290422i | \(0.0937957\pi\) | |||||||
\(444\) | 0.766979 | − | 0.390795i | 0.0363992 | − | 0.0185463i | ||||
\(445\) | −3.86291 | − | 1.96825i | −0.183120 | − | 0.0933041i | ||||
\(446\) | −2.90354 | − | 3.99638i | −0.137487 | − | 0.189234i | ||||
\(447\) | −9.63853 | + | 7.00280i | −0.455887 | + | 0.331221i | ||||
\(448\) | 7.11757 | + | 7.11757i | 0.336274 | + | 0.336274i | ||||
\(449\) | −5.07254 | + | 1.64817i | −0.239388 | + | 0.0777819i | −0.426254 | − | 0.904604i | \(-0.640167\pi\) |
0.186866 | + | 0.982385i | \(0.440167\pi\) | |||||||
\(450\) | −3.23507 | −0.152503 | ||||||||
\(451\) | −9.34576 | + | 31.7198i | −0.440075 | + | 1.49363i | ||||
\(452\) | 7.19720 | 0.338528 | ||||||||
\(453\) | −7.06929 | + | 2.29695i | −0.332144 | + | 0.107920i | ||||
\(454\) | −0.490022 | − | 0.490022i | −0.0229979 | − | 0.0229979i | ||||
\(455\) | −6.06381 | + | 4.40562i | −0.284276 | + | 0.206539i | ||||
\(456\) | 32.6173 | + | 44.8939i | 1.52745 | + | 2.10235i | ||||
\(457\) | −9.05273 | − | 4.61259i | −0.423469 | − | 0.215768i | 0.229251 | − | 0.973367i | \(-0.426372\pi\) |
−0.652720 | + | 0.757599i | \(0.726372\pi\) | |||||||
\(458\) | −25.8495 | + | 13.1710i | −1.20787 | + | 0.615440i | ||||
\(459\) | 4.73078 | − | 6.51136i | 0.220814 | − | 0.303924i | ||||
\(460\) | 5.27464i | 0.245932i | ||||||||
\(461\) | −24.0238 | − | 17.4543i | −1.11890 | − | 0.812927i | −0.134856 | − | 0.990865i | \(-0.543057\pi\) |
−0.984042 | + | 0.177938i | \(0.943057\pi\) | |||||||
\(462\) | −2.43826 | − | 15.3946i | −0.113438 | − | 0.716221i | ||||
\(463\) | 37.9429 | + | 6.00956i | 1.76336 | + | 0.279288i | 0.952185 | − | 0.305521i | \(-0.0988307\pi\) |
0.811171 | + | 0.584809i | \(0.198831\pi\) | |||||||
\(464\) | −6.89032 | + | 13.5230i | −0.319875 | + | 0.627790i | ||||
\(465\) | 17.8464 | − | 17.8464i | 0.827607 | − | 0.827607i | ||||
\(466\) | −2.34379 | + | 14.7981i | −0.108574 | + | 0.685509i | ||||
\(467\) | 0.851187 | − | 2.61968i | 0.0393882 | − | 0.121224i | −0.929429 | − | 0.369001i | \(-0.879700\pi\) |
0.968817 | + | 0.247777i | \(0.0796999\pi\) | |||||||
\(468\) | −2.51614 | + | 0.398517i | −0.116308 | + | 0.0184214i | ||||
\(469\) | −1.88188 | − | 5.79183i | −0.0868971 | − | 0.267442i | ||||
\(470\) | −4.94108 | − | 9.69742i | −0.227915 | − | 0.447309i | ||||
\(471\) | 21.1093 | + | 6.85882i | 0.972664 | + | 0.316038i | ||||
\(472\) | −2.29346 | − | 0.745190i | −0.105565 | − | 0.0343001i | ||||
\(473\) | −4.33134 | − | 8.50073i | −0.199155 | − | 0.390864i | ||||
\(474\) | 13.2383 | + | 40.7432i | 0.608053 | + | 1.87139i | ||||
\(475\) | −12.0219 | + | 1.90408i | −0.551601 | + | 0.0873651i | ||||
\(476\) | −0.592032 | + | 1.82209i | −0.0271357 | + | 0.0835152i | ||||
\(477\) | 1.58841 | − | 10.0289i | 0.0727285 | − | 0.459190i | ||||
\(478\) | −5.78989 | + | 5.78989i | −0.264823 | + | 0.264823i | ||||
\(479\) | 16.3580 | − | 32.1043i | 0.747415 | − | 1.46688i | −0.132213 | − | 0.991221i | \(-0.542208\pi\) |
0.879628 | − | 0.475663i | \(-0.157792\pi\) | |||||||
\(480\) | −16.4331 | − | 2.60275i | −0.750067 | − | 0.118799i | ||||
\(481\) | −0.291872 | − | 1.84281i | −0.0133082 | − | 0.0840247i | ||||
\(482\) | −18.7264 | − | 13.6055i | −0.852965 | − | 0.619715i | ||||
\(483\) | − | 9.53831i | − | 0.434008i | ||||||
\(484\) | 5.00473 | − | 6.88842i | 0.227488 | − | 0.313110i | ||||
\(485\) | 9.96656 | − | 5.07822i | 0.452558 | − | 0.230590i | ||||
\(486\) | −17.9192 | − | 9.13027i | −0.812830 | − | 0.414157i | ||||
\(487\) | −8.99982 | − | 12.3872i | −0.407821 | − | 0.561317i | 0.554865 | − | 0.831941i | \(-0.312770\pi\) |
−0.962685 | + | 0.270624i | \(0.912770\pi\) | |||||||
\(488\) | −17.5111 | + | 12.7226i | −0.792690 | + | 0.575923i | ||||
\(489\) | −29.0800 | − | 29.0800i | −1.31505 | − | 1.31505i | ||||
\(490\) | −16.6549 | + | 5.41151i | −0.752392 | + | 0.244467i | ||||
\(491\) | 8.39830 | 0.379010 | 0.189505 | − | 0.981880i | \(-0.439312\pi\) | ||||
0.189505 | + | 0.981880i | \(0.439312\pi\) | |||||||
\(492\) | −6.29749 | − | 4.31469i | −0.283913 | − | 0.194521i | ||||
\(493\) | −17.9354 | −0.807769 | ||||||||
\(494\) | 24.4380 | − | 7.94039i | 1.09952 | − | 0.357255i | ||||
\(495\) | 16.8627 | + | 16.8627i | 0.757924 | + | 0.757924i | ||||
\(496\) | −9.57276 | + | 6.95502i | −0.429830 | + | 0.312290i | ||||
\(497\) | −3.03527 | − | 4.17769i | −0.136150 | − | 0.187395i | ||||
\(498\) | −10.0814 | − | 5.13671i | −0.451757 | − | 0.230182i | ||||
\(499\) | 6.86475 | − | 3.49776i | 0.307308 | − | 0.156581i | −0.293535 | − | 0.955948i | \(-0.594832\pi\) |
0.600843 | + | 0.799367i | \(0.294832\pi\) | |||||||
\(500\) | −2.86330 | + | 3.94100i | −0.128051 | + | 0.176247i | ||||
\(501\) | − | 6.70961i | − | 0.299763i | ||||||
\(502\) | 1.84068 | + | 1.33733i | 0.0821534 | + | 0.0596879i | ||||
\(503\) | 2.90709 | + | 18.3546i | 0.129621 | + | 0.818392i | 0.963747 | + | 0.266818i | \(0.0859724\pi\) |
−0.834126 | + | 0.551574i | \(0.814028\pi\) | |||||||
\(504\) | 6.26927 | + | 0.992955i | 0.279256 | + | 0.0442298i | ||||
\(505\) | −3.57720 | + | 7.02064i | −0.159183 | + | 0.312414i | ||||
\(506\) | −16.8111 | + | 16.8111i | −0.747343 | + | 0.747343i | ||||
\(507\) | 2.17017 | − | 13.7019i | 0.0963806 | − | 0.608523i | ||||
\(508\) | 2.26862 | − | 6.98209i | 0.100654 | − | 0.309780i | ||||
\(509\) | −17.4808 | + | 2.76869i | −0.774823 | + | 0.122720i | −0.531310 | − | 0.847178i | \(-0.678300\pi\) |
−0.243513 | + | 0.969898i | \(0.578300\pi\) | |||||||
\(510\) | 6.44360 | + | 19.8314i | 0.285327 | + | 0.878147i | ||||
\(511\) | −0.0775257 | − | 0.152153i | −0.00342954 | − | 0.00673085i | ||||
\(512\) | 22.7049 | + | 7.37726i | 1.00342 | + | 0.326032i | ||||
\(513\) | −20.3843 | − | 6.62326i | −0.899989 | − | 0.292424i | ||||
\(514\) | 15.3371 | + | 30.1008i | 0.676491 | + | 1.32769i | ||||
\(515\) | 2.31837 | + | 7.13522i | 0.102160 | + | 0.314415i | ||||
\(516\) | 2.17535 | − | 0.344541i | 0.0957643 | − | 0.0151676i | ||||
\(517\) | −5.65455 | + | 17.4029i | −0.248687 | + | 0.765379i | ||||
\(518\) | −0.155363 | + | 0.980925i | −0.00682627 | + | 0.0430994i | ||||
\(519\) | −16.4300 | + | 16.4300i | −0.721196 | + | 0.721196i | ||||
\(520\) | −9.16504 | + | 17.9874i | −0.401914 | + | 0.788800i | ||||
\(521\) | −25.2617 | − | 4.00106i | −1.10673 | − | 0.175289i | −0.423790 | − | 0.905760i | \(-0.639301\pi\) |
−0.682944 | + | 0.730471i | \(0.739301\pi\) | |||||||
\(522\) | 1.98587 | + | 12.5383i | 0.0869191 | + | 0.548786i | ||||
\(523\) | 21.3827 | + | 15.5354i | 0.934998 | + | 0.679316i | 0.947211 | − | 0.320609i | \(-0.103888\pi\) |
−0.0122132 | + | 0.999925i | \(0.503888\pi\) | |||||||
\(524\) | 5.56046i | 0.242910i | ||||||||
\(525\) | −2.17145 | + | 2.98875i | −0.0947699 | + | 0.130440i | ||||
\(526\) | 4.45150 | − | 2.26815i | 0.194095 | − | 0.0988962i | ||||
\(527\) | −12.4589 | − | 6.34811i | −0.542717 | − | 0.276528i | ||||
\(528\) | −17.4376 | − | 24.0008i | −0.758875 | − | 1.04450i | ||||
\(529\) | 6.83700 | − | 4.96737i | 0.297261 | − | 0.215973i | ||||
\(530\) | −12.1552 | − | 12.1552i | −0.527989 | − | 0.527989i | ||||
\(531\) | −1.35562 | + | 0.440466i | −0.0588287 | + | 0.0191146i | ||||
\(532\) | 5.10197 | 0.221199 | ||||||||
\(533\) | −13.1123 | + | 10.0917i | −0.567958 | + | 0.437122i | ||||
\(534\) | 4.51112 | 0.195215 | ||||||||
\(535\) | −8.19747 | + | 2.66352i | −0.354407 | + | 0.115154i | ||||
\(536\) | −11.5983 | − | 11.5983i | −0.500970 | − | 0.500970i | ||||
\(537\) | 3.39001 | − | 2.46299i | 0.146290 | − | 0.106286i | ||||
\(538\) | −21.1111 | − | 29.0569i | −0.910165 | − | 1.25273i | ||||
\(539\) | 26.2335 | + | 13.3667i | 1.12996 | + | 0.575743i | ||||
\(540\) | 3.20532 | − | 1.63319i | 0.137935 | − | 0.0702814i | ||||
\(541\) | 11.1474 | − | 15.3431i | 0.479266 | − | 0.659653i | −0.499098 | − | 0.866546i | \(-0.666335\pi\) |
0.978364 | + | 0.206893i | \(0.0663351\pi\) | |||||||
\(542\) | − | 27.9893i | − | 1.20224i | ||||||
\(543\) | 10.4631 | + | 7.60188i | 0.449014 | + | 0.326228i | ||||
\(544\) | 1.44200 | + | 9.10442i | 0.0618252 | + | 0.390349i | ||||
\(545\) | 34.3296 | + | 5.43728i | 1.47052 | + | 0.232907i | ||||
\(546\) | 3.54067 | − | 6.94895i | 0.151527 | − | 0.297388i | ||||
\(547\) | 11.0744 | − | 11.0744i | 0.473506 | − | 0.473506i | −0.429541 | − | 0.903047i | \(-0.641325\pi\) |
0.903047 | + | 0.429541i | \(0.141325\pi\) | |||||||
\(548\) | −0.487842 | + | 3.08011i | −0.0208396 | + | 0.131576i | ||||
\(549\) | −3.95352 | + | 12.1677i | −0.168732 | + | 0.519304i | ||||
\(550\) | 9.09474 | − | 1.44047i | 0.387801 | − | 0.0614216i | ||||
\(551\) | 14.7594 | + | 45.4247i | 0.628771 | + | 1.93516i | ||||
\(552\) | −11.6632 | − | 22.8903i | −0.496418 | − | 0.974276i | ||||
\(553\) | 17.5344 | + | 5.69727i | 0.745638 | + | 0.242273i | ||||
\(554\) | 28.4285 | + | 9.23699i | 1.20781 | + | 0.392442i | ||||
\(555\) | −1.83050 | − | 3.59255i | −0.0777002 | − | 0.152495i | ||||
\(556\) | −2.70764 | − | 8.33325i | −0.114829 | − | 0.353408i | ||||
\(557\) | 30.3636 | − | 4.80913i | 1.28655 | − | 0.203769i | 0.524567 | − | 0.851369i | \(-0.324227\pi\) |
0.761981 | + | 0.647600i | \(0.224227\pi\) | |||||||
\(558\) | −3.05835 | + | 9.41263i | −0.129470 | + | 0.398468i | ||||
\(559\) | 0.746789 | − | 4.71504i | 0.0315858 | − | 0.199425i | ||||
\(560\) | 5.36969 | − | 5.36969i | 0.226911 | − | 0.226911i | ||||
\(561\) | 15.9160 | − | 31.2368i | 0.671973 | − | 1.31882i | ||||
\(562\) | −0.253504 | − | 0.0401511i | −0.0106934 | − | 0.00169367i | ||||
\(563\) | −3.47564 | − | 21.9443i | −0.146481 | − | 0.924844i | −0.945991 | − | 0.324192i | \(-0.894908\pi\) |
0.799510 | − | 0.600652i | \(-0.205092\pi\) | |||||||
\(564\) | −3.41748 | − | 2.48295i | −0.143902 | − | 0.104551i | ||||
\(565\) | − | 33.7119i | − | 1.41827i | ||||||
\(566\) | 7.82744 | − | 10.7735i | 0.329012 | − | 0.452846i | ||||
\(567\) | −11.3236 | + | 5.76967i | −0.475547 | + | 0.242303i | ||||
\(568\) | −12.3925 | − | 6.31429i | −0.519978 | − | 0.264942i | ||||
\(569\) | 2.76582 | + | 3.80682i | 0.115949 | + | 0.159590i | 0.863047 | − | 0.505124i | \(-0.168553\pi\) |
−0.747098 | + | 0.664714i | \(0.768553\pi\) | |||||||
\(570\) | 44.9241 | − | 32.6393i | 1.88166 | − | 1.36711i | ||||
\(571\) | 9.49358 | + | 9.49358i | 0.397294 | + | 0.397294i | 0.877278 | − | 0.479983i | \(-0.159357\pi\) |
−0.479983 | + | 0.877278i | \(0.659357\pi\) | |||||||
\(572\) | 6.89615 | − | 2.24070i | 0.288343 | − | 0.0936882i | ||||
\(573\) | 6.93828 | 0.289851 | ||||||||
\(574\) | 8.29806 | − | 2.95207i | 0.346354 | − | 0.123217i | ||||
\(575\) | 5.63499 | 0.234995 | ||||||||
\(576\) | 15.2405 | − | 4.95193i | 0.635020 | − | 0.206330i | ||||
\(577\) | −11.7501 | − | 11.7501i | −0.489162 | − | 0.489162i | 0.418880 | − | 0.908042i | \(-0.362423\pi\) |
−0.908042 | + | 0.418880i | \(0.862423\pi\) | |||||||
\(578\) | −7.25289 | + | 5.26953i | −0.301680 | + | 0.219184i | ||||
\(579\) | −20.3665 | − | 28.0321i | −0.846403 | − | 1.16497i | ||||
\(580\) | −7.14279 | − | 3.63944i | −0.296588 | − | 0.151119i | ||||
\(581\) | −4.33866 | + | 2.21066i | −0.179998 | + | 0.0917135i | ||||
\(582\) | −6.84122 | + | 9.41613i | −0.283578 | + | 0.390311i | ||||
\(583\) | 28.9013i | 1.19697i | ||||||||
\(584\) | −0.372097 | − | 0.270344i | −0.0153975 | − | 0.0111869i | ||||
\(585\) | 1.86666 | + | 11.7856i | 0.0771770 | + | 0.487276i | ||||
\(586\) | 9.07063 | + | 1.43665i | 0.374704 | + | 0.0593473i | ||||
\(587\) | −11.9109 | + | 23.3764i | −0.491615 | + | 0.964849i | 0.503298 | + | 0.864113i | \(0.332120\pi\) |
−0.994913 | + | 0.100736i | \(0.967880\pi\) | |||||||
\(588\) | −4.80612 | + | 4.80612i | −0.198201 | + | 0.198201i | ||||
\(589\) | −5.82513 | + | 36.7784i | −0.240020 | + | 1.51543i | ||||
\(590\) | −0.745691 | + | 2.29500i | −0.0306996 | + | 0.0944837i | ||||
\(591\) | −9.85018 | + | 1.56012i | −0.405182 | + | 0.0641746i | ||||
\(592\) | 0.584142 | + | 1.79780i | 0.0240081 | + | 0.0738892i | ||||
\(593\) | 1.10491 | + | 2.16850i | 0.0453730 | + | 0.0890496i | 0.912580 | − | 0.408898i | \(-0.134087\pi\) |
−0.867207 | + | 0.497948i | \(0.834087\pi\) | |||||||
\(594\) | 15.4211 | + | 5.01060i | 0.632734 | + | 0.205588i | ||||
\(595\) | 8.53470 | + | 2.77309i | 0.349889 | + | 0.113686i | ||||
\(596\) | 1.33939 | + | 2.62871i | 0.0548637 | + | 0.107676i | ||||
\(597\) | −6.09129 | − | 18.7471i | −0.249300 | − | 0.767266i | ||||
\(598\) | −11.7495 | + | 1.86094i | −0.480474 | + | 0.0760996i | ||||
\(599\) | 5.18017 | − | 15.9429i | 0.211656 | − | 0.651410i | −0.787718 | − | 0.616036i | \(-0.788738\pi\) |
0.999374 | − | 0.0353745i | \(-0.0112624\pi\) | |||||||
\(600\) | −1.55655 | + | 9.82767i | −0.0635459 | + | 0.401213i | ||||
\(601\) | −8.61367 | + | 8.61367i | −0.351359 | + | 0.351359i | −0.860615 | − | 0.509256i | \(-0.829921\pi\) |
0.509256 | + | 0.860615i | \(0.329921\pi\) | |||||||
\(602\) | −1.15363 | + | 2.26413i | −0.0470186 | + | 0.0922793i | ||||
\(603\) | −9.57579 | − | 1.51666i | −0.389956 | − | 0.0617630i | ||||
\(604\) | 0.287946 | + | 1.81802i | 0.0117163 | + | 0.0739740i | ||||
\(605\) | −32.2656 | − | 23.4423i | −1.31178 | − | 0.953065i | ||||
\(606\) | − | 8.19872i | − | 0.333050i | ||||||
\(607\) | 2.60922 | − | 3.59129i | 0.105905 | − | 0.145766i | −0.752775 | − | 0.658278i | \(-0.771285\pi\) |
0.858680 | + | 0.512512i | \(0.171285\pi\) | |||||||
\(608\) | 21.8720 | − | 11.1443i | 0.887027 | − | 0.451963i | ||||
\(609\) | 12.9165 | + | 6.58131i | 0.523405 | + | 0.266688i | ||||
\(610\) | 12.7311 | + | 17.5229i | 0.515468 | + | 0.709480i | ||||
\(611\) | −7.40736 | + | 5.38176i | −0.299670 | + | 0.217723i | ||||
\(612\) | 2.15672 | + | 2.15672i | 0.0871801 | + | 0.0871801i | ||||
\(613\) | 45.1753 | − | 14.6783i | 1.82461 | − | 0.592852i | 0.824996 | − | 0.565139i | \(-0.191177\pi\) |
0.999616 | − | 0.0277136i | \(-0.00882263\pi\) | |||||||
\(614\) | −37.9136 | −1.53007 | ||||||||
\(615\) | −20.2101 | + | 29.4976i | −0.814951 | + | 1.18946i | ||||
\(616\) | −18.0669 | −0.727936 | ||||||||
\(617\) | −35.6237 | + | 11.5748i | −1.43416 | + | 0.465985i | −0.920070 | − | 0.391753i | \(-0.871869\pi\) |
−0.514086 | + | 0.857739i | \(0.671869\pi\) | |||||||
\(618\) | −5.51996 | − | 5.51996i | −0.222046 | − | 0.222046i | ||||
\(619\) | −12.2778 | + | 8.92032i | −0.493485 | + | 0.358538i | −0.806523 | − | 0.591203i | \(-0.798653\pi\) |
0.313038 | + | 0.949741i | \(0.398653\pi\) | |||||||
\(620\) | −3.67361 | − | 5.05629i | −0.147536 | − | 0.203065i | ||||
\(621\) | 8.84121 | + | 4.50482i | 0.354785 | + | 0.180772i | ||||
\(622\) | 15.8650 | − | 8.08364i | 0.636130 | − | 0.324125i | ||||
\(623\) | 1.14114 | − | 1.57064i | 0.0457188 | − | 0.0629265i | ||||
\(624\) | − | 14.8443i | − | 0.594246i | ||||||
\(625\) | 24.4357 | + | 17.7535i | 0.977427 | + | 0.710142i | ||||
\(626\) | 3.13556 | + | 19.7971i | 0.125322 | + | 0.791253i | ||||
\(627\) | −92.2107 | − | 14.6047i | −3.68254 | − | 0.583257i | ||||
\(628\) | 2.49529 | − | 4.89729i | 0.0995731 | − | 0.195423i | ||||
\(629\) | −1.57957 | + | 1.57957i | −0.0629816 | + | 0.0629816i | ||||
\(630\) | 0.993623 | − | 6.27349i | 0.0395869 | − | 0.249942i | ||||
\(631\) | −1.82817 | + | 5.62652i | −0.0727782 | + | 0.223988i | −0.980829 | − | 0.194873i | \(-0.937571\pi\) |
0.908050 | + | 0.418861i | \(0.137571\pi\) | |||||||
\(632\) | 49.0460 | − | 7.76813i | 1.95095 | − | 0.308999i | ||||
\(633\) | −4.38002 | − | 13.4803i | −0.174090 | − | 0.535795i | ||||
\(634\) | 17.8468 | + | 35.0262i | 0.708785 | + | 1.39107i | ||||
\(635\) | −32.7043 | − | 10.6263i | −1.29783 | − | 0.421691i | ||||
\(636\) | −6.34538 | − | 2.06174i | −0.251611 | − | 0.0817532i | ||||
\(637\) | 6.68826 | + | 13.1264i | 0.264999 | + | 0.520089i | ||||
\(638\) | −11.1657 | − | 34.3646i | −0.442055 | − | 1.36051i | ||||
\(639\) | −8.11977 | + | 1.28604i | −0.321213 | + | 0.0508751i | ||||
\(640\) | 3.69697 | − | 11.3781i | 0.146136 | − | 0.449759i | ||||
\(641\) | −5.46005 | + | 34.4734i | −0.215659 | + | 1.36162i | 0.607732 | + | 0.794143i | \(0.292080\pi\) |
−0.823391 | + | 0.567475i | \(0.807920\pi\) | |||||||
\(642\) | 6.34174 | − | 6.34174i | 0.250289 | − | 0.250289i | ||||
\(643\) | −14.6680 | + | 28.7876i | −0.578451 | + | 1.13527i | 0.397565 | + | 0.917574i | \(0.369855\pi\) |
−0.976016 | + | 0.217700i | \(0.930145\pi\) | |||||||
\(644\) | −2.33292 | − | 0.369498i | −0.0919298 | − | 0.0145603i | ||||
\(645\) | −1.61384 | − | 10.1894i | −0.0635448 | − | 0.401206i | ||||
\(646\) | −24.8892 | − | 18.0831i | −0.979252 | − | 0.711468i | ||||
\(647\) | 0.686839i | 0.0270024i | 0.999909 | + | 0.0135012i | \(0.00429770\pi\) | ||||
−0.999909 | + | 0.0135012i | \(0.995702\pi\) | |||||||
\(648\) | −20.1197 | + | 27.6925i | −0.790378 | + | 1.08786i | ||||
\(649\) | 3.61491 | − | 1.84189i | 0.141898 | − | 0.0723004i | ||||
\(650\) | 4.10527 | + | 2.09174i | 0.161022 | + | 0.0820447i | ||||
\(651\) | 6.64310 | + | 9.14344i | 0.260364 | + | 0.358360i | ||||
\(652\) | −8.23903 | + | 5.98600i | −0.322665 | + | 0.234430i | ||||
\(653\) | 33.7065 | + | 33.7065i | 1.31904 | + | 1.31904i | 0.914538 | + | 0.404500i | \(0.132554\pi\) |
0.404500 | + | 0.914538i | \(0.367446\pi\) | |||||||
\(654\) | −34.3958 | + | 11.1759i | −1.34498 | + | 0.437011i | ||||
\(655\) | 26.0454 | 1.01768 | ||||||||
\(656\) | 11.5218 | − | 12.1768i | 0.449851 | − | 0.475425i | ||||
\(657\) | −0.271859 | −0.0106062 | ||||||||
\(658\) | 4.63520 | − | 1.50607i | 0.180699 | − | 0.0587126i | ||||
\(659\) | 31.4326 | + | 31.4326i | 1.22444 | + | 1.22444i | 0.966037 | + | 0.258404i | \(0.0831967\pi\) |
0.258404 | + | 0.966037i | \(0.416803\pi\) | |||||||
\(660\) | 12.6771 | − | 9.21046i | 0.493456 | − | 0.358517i | ||||
\(661\) | −14.1153 | − | 19.4280i | −0.549020 | − | 0.755662i | 0.440859 | − | 0.897577i | \(-0.354674\pi\) |
−0.989879 | + | 0.141915i | \(0.954674\pi\) | |||||||
\(662\) | −2.02487 | − | 1.03172i | −0.0786989 | − | 0.0400991i | ||||
\(663\) | 15.6299 | − | 7.96385i | 0.607017 | − | 0.309290i | ||||
\(664\) | −7.70890 | + | 10.6104i | −0.299163 | + | 0.411763i | ||||
\(665\) | − | 23.8978i | − | 0.926716i | ||||||
\(666\) | 1.27914 | + | 0.929351i | 0.0495657 | + | 0.0360116i | ||||
\(667\) | −3.45907 | − | 21.8397i | −0.133936 | − | 0.845638i | ||||
\(668\) | −1.64106 | − | 0.259919i | −0.0634946 | − | 0.0100566i | ||||
\(669\) | −4.07707 | + | 8.00170i | −0.157629 | + | 0.309364i | ||||
\(670\) | −11.6061 | + | 11.6061i | −0.448382 | + | 0.448382i | ||||
\(671\) | 5.69666 | − | 35.9673i | 0.219917 | − | 1.38850i | ||||
\(672\) | 2.30234 | − | 7.08587i | 0.0888147 | − | 0.273344i | ||||
\(673\) | 15.1756 | − | 2.40357i | 0.584975 | − | 0.0926510i | 0.143070 | − | 0.989713i | \(-0.454303\pi\) |
0.441906 | + | 0.897062i | \(0.354303\pi\) | |||||||
\(674\) | −10.9559 | − | 33.7188i | −0.422006 | − | 1.29880i | ||||
\(675\) | −1.74477 | − | 3.42430i | −0.0671561 | − | 0.131801i | ||||
\(676\) | −3.26720 | − | 1.06158i | −0.125662 | − | 0.0408299i | ||||
\(677\) | −30.7055 | − | 9.97682i | −1.18011 | − | 0.383440i | −0.347701 | − | 0.937605i | \(-0.613038\pi\) |
−0.832407 | + | 0.554165i | \(0.813038\pi\) | |||||||
\(678\) | 15.9250 | + | 31.2546i | 0.611596 | + | 1.20033i | ||||
\(679\) | 1.54787 | + | 4.76384i | 0.0594016 | + | 0.182819i | ||||
\(680\) | 23.8727 | − | 3.78106i | 0.915476 | − | 0.144997i | ||||
\(681\) | −0.389319 | + | 1.19820i | −0.0149187 | + | 0.0459152i | ||||
\(682\) | 4.40680 | − | 27.8235i | 0.168745 | − | 1.06542i | ||||
\(683\) | 11.8785 | − | 11.8785i | 0.454518 | − | 0.454518i | −0.442333 | − | 0.896851i | \(-0.645849\pi\) |
0.896851 | + | 0.442333i | \(0.145849\pi\) | |||||||
\(684\) | 3.68748 | − | 7.23710i | 0.140994 | − | 0.276717i | ||||
\(685\) | 14.4273 | + | 2.28507i | 0.551240 | + | 0.0873079i | ||||
\(686\) | −2.73298 | − | 17.2554i | −0.104346 | − | 0.658813i | ||||
\(687\) | 42.6699 | + | 31.0015i | 1.62796 | + | 1.18278i | ||||
\(688\) | 4.83661i | 0.184394i | ||||||||
\(689\) | −8.50015 | + | 11.6995i | −0.323830 | + | 0.445714i | ||||
\(690\) | −22.9057 | + | 11.6710i | −0.872005 | + | 0.444309i | ||||
\(691\) | −23.1214 | − | 11.7810i | −0.879581 | − | 0.448169i | −0.0449572 | − | 0.998989i | \(-0.514315\pi\) |
−0.834624 | + | 0.550820i | \(0.814315\pi\) | |||||||
\(692\) | 3.38204 | + | 4.65498i | 0.128566 | + | 0.176956i | ||||
\(693\) | −8.63947 | + | 6.27694i | −0.328186 | + | 0.238441i | ||||
\(694\) | −23.9145 | − | 23.9145i | −0.907781 | − | 0.907781i | ||||
\(695\) | −39.0332 | + | 12.6826i | −1.48061 | + | 0.481080i | ||||
\(696\) | 39.0450 | 1.48000 | ||||||||
\(697\) | 19.0027 | + | 5.59885i | 0.719778 | + | 0.212072i | ||||
\(698\) | 24.6688 | 0.933727 | ||||||||
\(699\) | 25.9051 | − | 8.41708i | 0.979821 | − | 0.318363i | ||||
\(700\) | 0.646881 | + | 0.646881i | 0.0244498 | + | 0.0244498i | ||||
\(701\) | 22.0790 | − | 16.0413i | 0.833911 | − | 0.605872i | −0.0867523 | − | 0.996230i | \(-0.527649\pi\) |
0.920663 | + | 0.390358i | \(0.127649\pi\) | |||||||
\(702\) | 4.76888 | + | 6.56381i | 0.179990 | + | 0.247735i | ||||
\(703\) | 5.30042 | + | 2.70070i | 0.199909 | + | 0.101859i | ||||
\(704\) | −40.6405 | + | 20.7074i | −1.53170 | + | 0.780439i | ||||
\(705\) | −11.6302 | + | 16.0076i | −0.438018 | + | 0.602880i | ||||
\(706\) | 34.9413i | 1.31503i | ||||||||
\(707\) | −2.85456 | − | 2.07396i | −0.107357 | − | 0.0779994i | ||||
\(708\) | 0.146515 | + | 0.925059i | 0.00550637 | + | 0.0347659i | ||||
\(709\) | −44.8571 | − | 7.10466i | −1.68464 | − | 0.266821i | −0.760631 | − | 0.649185i | \(-0.775110\pi\) |
−0.924012 | + | 0.382364i | \(0.875110\pi\) | |||||||
\(710\) | −6.31854 | + | 12.4008i | −0.237131 | + | 0.465395i | ||||
\(711\) | 20.7546 | − | 20.7546i | 0.778359 | − | 0.778359i | ||||
\(712\) | 0.817998 | − | 5.16463i | 0.0306558 | − | 0.193553i | ||||
\(713\) | 5.32717 | − | 16.3953i | 0.199504 | − | 0.614010i | ||||
\(714\) | −9.22258 | + | 1.46071i | −0.345146 | + | 0.0546658i | ||||
\(715\) | −10.4955 | − | 32.3018i | −0.392509 | − | 1.20802i | ||||
\(716\) | −0.471085 | − | 0.924556i | −0.0176053 | − | 0.0345523i | ||||
\(717\) | 14.1574 | + | 4.60002i | 0.528719 | + | 0.171791i | ||||
\(718\) | 24.9351 | + | 8.10189i | 0.930569 | + | 0.302360i | ||||
\(719\) | −12.6131 | − | 24.7546i | −0.470390 | − | 0.923192i | −0.997312 | − | 0.0732784i | \(-0.976654\pi\) |
0.526922 | − | 0.849914i | \(-0.323346\pi\) | |||||||
\(720\) | −3.73587 | − | 11.4978i | −0.139228 | − | 0.428499i | ||||
\(721\) | −3.31824 | + | 0.525557i | −0.123578 | + | 0.0195728i | ||||
\(722\) | −18.2307 | + | 56.1084i | −0.678477 | + | 2.08814i | ||||
\(723\) | −6.58297 | + | 41.5633i | −0.244823 | + | 1.54575i | ||||
\(724\) | 2.26462 | − | 2.26462i | 0.0841640 | − | 0.0841640i | ||||
\(725\) | −3.88807 | + | 7.63077i | −0.144399 | + | 0.283400i | ||||
\(726\) | 40.9875 | + | 6.49179i | 1.52119 | + | 0.240933i | ||||
\(727\) | −2.75993 | − | 17.4255i | −0.102360 | − | 0.646276i | −0.984513 | − | 0.175313i | \(-0.943906\pi\) |
0.882153 | − | 0.470963i | \(-0.156094\pi\) | |||||||
\(728\) | −7.31361 | − | 5.31365i | −0.271060 | − | 0.196937i | ||||
\(729\) | 3.10848i | 0.115129i | ||||||||
\(730\) | −0.270526 | + | 0.372347i | −0.0100126 | + | 0.0137812i | ||||
\(731\) | −5.09261 | + | 2.59481i | −0.188357 | + | 0.0959726i | ||||
\(732\) | 7.49034 | + | 3.81652i | 0.276851 | + | 0.141063i | ||||
\(733\) | −5.53747 | − | 7.62168i | −0.204531 | − | 0.281513i | 0.694413 | − | 0.719577i | \(-0.255664\pi\) |
−0.898944 | + | 0.438064i | \(0.855664\pi\) | |||||||
\(734\) | 16.8421 | − | 12.2365i | 0.621653 | − | 0.451658i | ||||
\(735\) | 22.5120 | + | 22.5120i | 0.830367 | + | 0.830367i | ||||
\(736\) | −10.8083 | + | 3.51181i | −0.398397 | + | 0.129447i | ||||
\(737\) | 27.5957 | 1.01650 | ||||||||
\(738\) | 1.81000 | − | 13.9043i | 0.0666271 | − | 0.511826i | ||||
\(739\) | 0.347492 | 0.0127827 | 0.00639135 | − | 0.999980i | \(-0.497966\pi\) | ||||
0.00639135 | + | 0.999980i | \(0.497966\pi\) | |||||||
\(740\) | −0.949591 | + | 0.308541i | −0.0349077 | + | 0.0113422i | ||||
\(741\) | −33.0322 | − | 33.0322i | −1.21347 | − | 1.21347i | ||||
\(742\) | 6.22761 | − | 4.52463i | 0.228623 | − | 0.166104i | ||||
\(743\) | 4.23794 | + | 5.83302i | 0.155475 | + | 0.213993i | 0.879648 | − | 0.475626i | \(-0.157778\pi\) |
−0.724173 | + | 0.689618i | \(0.757778\pi\) | |||||||
\(744\) | 27.1227 | + | 13.8197i | 0.994366 | + | 0.506655i | ||||
\(745\) | 12.3129 | − | 6.27375i | 0.451111 | − | 0.229853i | ||||
\(746\) | −12.0919 | + | 16.6431i | −0.442717 | + | 0.609348i | ||||
\(747\) | 7.75210i | 0.283635i | ||||||||
\(748\) | −7.02347 | − | 5.10285i | −0.256804 | − | 0.186579i | ||||
\(749\) | −0.603799 | − | 3.81223i | −0.0220623 | − | 0.139296i | ||||
\(750\) | −23.4498 | − | 3.71408i | −0.856264 | − | 0.135619i | ||||
\(751\) | 8.85526 | − | 17.3794i | 0.323133 | − | 0.634184i | −0.671107 | − | 0.741361i | \(-0.734181\pi\) |
0.994240 | + | 0.107176i | \(0.0341809\pi\) | |||||||
\(752\) | 6.55944 | − | 6.55944i | 0.239198 | − | 0.239198i | ||||
\(753\) | 0.647060 | − | 4.08538i | 0.0235802 | − | 0.148879i | ||||
\(754\) | 5.58698 | − | 17.1950i | 0.203466 | − | 0.626203i | ||||
\(755\) | 8.51564 | − | 1.34874i | 0.309916 | − | 0.0490858i | ||||
\(756\) | 0.497805 | + | 1.53209i | 0.0181050 | + | 0.0557215i | ||||
\(757\) | −7.98828 | − | 15.6779i | −0.290339 | − | 0.569823i | 0.699057 | − | 0.715066i | \(-0.253603\pi\) |
−0.989396 | + | 0.145244i | \(0.953603\pi\) | |||||||
\(758\) | −42.5256 | − | 13.8174i | −1.54460 | − | 0.501871i | ||||
\(759\) | 41.1064 | + | 13.3563i | 1.49207 | + | 0.484802i | ||||
\(760\) | −29.2216 | − | 57.3506i | −1.05998 | − | 2.08032i | ||||
\(761\) | 7.86010 | + | 24.1909i | 0.284928 | + | 0.876919i | 0.986420 | + | 0.164242i | \(0.0525177\pi\) |
−0.701492 | + | 0.712678i | \(0.747482\pi\) | |||||||
\(762\) | 35.3402 | − | 5.59734i | 1.28024 | − | 0.202770i | ||||
\(763\) | −4.80970 | + | 14.8027i | −0.174123 | + | 0.535895i | ||||
\(764\) | 0.268777 | − | 1.69699i | 0.00972402 | − | 0.0613950i | ||||
\(765\) | 10.1021 | − | 10.1021i | 0.365243 | − | 0.365243i | ||||
\(766\) | −18.5098 | + | 36.3274i | −0.668785 | + | 1.31256i | ||||
\(767\) | 2.00506 | + | 0.317570i | 0.0723984 | + | 0.0114668i | ||||
\(768\) | −4.11575 | − | 25.9858i | −0.148514 | − | 0.937682i | ||||
\(769\) | −10.8491 | − | 7.88236i | −0.391230 | − | 0.284245i | 0.374729 | − | 0.927134i | \(-0.377736\pi\) |
−0.765959 | + | 0.642889i | \(0.777736\pi\) | |||||||
\(770\) | 18.0791i | 0.651524i | ||||||||
\(771\) | 36.1001 | − | 49.6875i | 1.30011 | − | 1.78945i | ||||
\(772\) | −7.64517 | + | 3.89541i | −0.275156 | + | 0.140199i | ||||
\(773\) | 33.8688 | + | 17.2570i | 1.21817 | + | 0.620691i | 0.940438 | − | 0.339966i | \(-0.110416\pi\) |
0.277737 | + | 0.960657i | \(0.410416\pi\) | |||||||
\(774\) | 2.37785 | + | 3.27284i | 0.0854702 | + | 0.117640i | ||||
\(775\) | −5.40172 | + | 3.92458i | −0.194035 | + | 0.140975i | ||||
\(776\) | 9.53971 | + | 9.53971i | 0.342456 | + | 0.342456i | ||||
\(777\) | 1.71718 | − | 0.557944i | 0.0616033 | − | 0.0200161i | ||||
\(778\) | −10.7367 | −0.384929 | ||||||||
\(779\) | −1.45757 | − | 52.7353i | −0.0522228 | − | 1.88944i | ||||
\(780\) | 7.84067 | 0.280741 | ||||||||
\(781\) | 22.2544 | − | 7.23090i | 0.796326 | − | 0.258742i | ||||
\(782\) | 10.0712 | + | 10.0712i | 0.360144 | + | 0.360144i | ||||
\(783\) | −12.2006 | + | 8.86428i | −0.436015 | + | 0.316784i | ||||
\(784\) | −8.77326 | − | 12.0754i | −0.313331 | − | 0.431263i | ||||
\(785\) | −22.9390 | − | 11.6880i | −0.818729 | − | 0.417163i | ||||
\(786\) | −24.1469 | + | 12.3035i | −0.861292 | + | 0.438850i | ||||
\(787\) | −28.9010 | + | 39.7788i | −1.03021 | + | 1.41796i | −0.125417 | + | 0.992104i | \(0.540027\pi\) |
−0.904791 | + | 0.425856i | \(0.859973\pi\) | |||||||
\(788\) | 2.46963i | 0.0879771i | ||||||||
\(789\) | −7.34812 | − | 5.33872i | −0.261600 | − | 0.190063i | ||||
\(790\) | −7.77335 | − | 49.0790i | −0.276563 | − | 1.74615i | ||||
\(791\) | 14.9104 | + | 2.36157i | 0.530152 | + | 0.0839679i | ||||
\(792\) | −13.0580 | + | 25.6277i | −0.463995 | + | 0.910641i | ||||
\(793\) | 12.8844 | − | 12.8844i | 0.457537 | − | 0.457537i | ||||
\(794\) | 1.58312 | − | 9.99541i | 0.0561827 | − | 0.354724i | ||||
\(795\) | −9.65723 | + | 29.7219i | −0.342507 | + | 1.05413i | ||||
\(796\) | −4.82120 | + | 0.763603i | −0.170883 | + | 0.0270652i | ||||
\(797\) | 1.66232 | + | 5.11611i | 0.0588825 | + | 0.181222i | 0.976172 | − | 0.217000i | \(-0.0696273\pi\) |
−0.917289 | + | 0.398222i | \(0.869627\pi\) | |||||||
\(798\) | 11.2890 | + | 22.1559i | 0.399625 | + | 0.784309i | ||||
\(799\) | 10.4257 | + | 3.38752i | 0.368836 | + | 0.119842i | ||||
\(800\) | 4.18616 | + | 1.36016i | 0.148003 | + | 0.0480891i | ||||
\(801\) | −1.40318 | − | 2.75389i | −0.0495788 | − | 0.0973038i | ||||
\(802\) | 9.28442 | + | 28.5745i | 0.327844 | + | 1.00900i | ||||
\(803\) | 0.764277 | − | 0.121050i | 0.0269707 | − | 0.00427175i | ||||
\(804\) | −1.96860 | + | 6.05872i | −0.0694270 | + | 0.213674i | ||||
\(805\) | −1.73074 | + | 10.9274i | −0.0610005 | + | 0.385142i | ||||
\(806\) | 9.96704 | − | 9.96704i | 0.351074 | − | 0.351074i | ||||
\(807\) | −29.6437 | + | 58.1789i | −1.04351 | + | 2.04800i | ||||
\(808\) | −9.38645 | − | 1.48667i | −0.330214 | − | 0.0523008i | ||||
\(809\) | −4.90251 | − | 30.9532i | −0.172363 | − | 1.08826i | −0.910470 | − | 0.413574i | \(-0.864280\pi\) |
0.738107 | − | 0.674683i | \(-0.235720\pi\) | |||||||
\(810\) | 27.7111 | + | 20.1333i | 0.973668 | + | 0.707411i | ||||
\(811\) | 18.8699i | 0.662610i | 0.943524 | + | 0.331305i | \(0.107489\pi\) | ||||
−0.943524 | + | 0.331305i | \(0.892511\pi\) | |||||||
\(812\) | 2.11005 | − | 2.90423i | 0.0740482 | − | 0.101919i | ||||
\(813\) | −45.3384 | + | 23.1011i | −1.59009 | + | 0.810189i | ||||
\(814\) | −4.00985 | − | 2.04312i | −0.140545 | − | 0.0716113i | ||||
\(815\) | 28.0386 | + | 38.5918i | 0.982149 | + | 1.35181i | ||||
\(816\) | −14.3784 | + | 10.4465i | −0.503344 | + | 0.365701i | ||||
\(817\) | 10.7627 | + | 10.7627i | 0.376538 | + | 0.376538i | ||||
\(818\) | −10.0459 | + | 3.26411i | −0.351246 | + | 0.114127i | ||||
\(819\) | −5.34342 | −0.186714 | ||||||||
\(820\) | 6.43174 | + | 6.08576i | 0.224606 | + | 0.212524i | ||||
\(821\) | 1.59911 | 0.0558094 | 0.0279047 | − | 0.999611i | \(-0.491117\pi\) | ||||
0.0279047 | + | 0.999611i | \(0.491117\pi\) | |||||||
\(822\) | −14.4552 | + | 4.69677i | −0.504182 | + | 0.163819i | ||||
\(823\) | −18.3789 | − | 18.3789i | −0.640647 | − | 0.640647i | 0.310068 | − | 0.950715i | \(-0.399648\pi\) |
−0.950715 | + | 0.310068i | \(0.899648\pi\) | |||||||
\(824\) | −7.32056 | + | 5.31870i | −0.255024 | + | 0.185286i | ||||
\(825\) | −9.83969 | − | 13.5432i | −0.342574 | − | 0.471513i | ||||
\(826\) | −0.962817 | − | 0.490580i | −0.0335007 | − | 0.0170694i | ||||
\(827\) | 7.57401 | − | 3.85915i | 0.263374 | − | 0.134196i | −0.317318 | − | 0.948319i | \(-0.602782\pi\) |
0.580692 | + | 0.814124i | \(0.302782\pi\) | |||||||
\(828\) | −2.21026 | + | 3.04216i | −0.0768118 | + | 0.105722i | ||||
\(829\) | 0.285264i | 0.00990764i | 0.999988 | + | 0.00495382i | \(0.00157686\pi\) | ||||
−0.999988 | + | 0.00495382i | \(0.998423\pi\) | |||||||
\(830\) | 10.6175 | + | 7.71409i | 0.368540 | + | 0.267760i | ||||
\(831\) | −8.50106 | − | 53.6736i | −0.294898 | − | 1.86192i | ||||
\(832\) | −22.5418 | − | 3.57027i | −0.781496 | − | 0.123777i | ||||
\(833\) | 8.00769 | − | 15.7160i | 0.277450 | − | 0.544526i | ||||
\(834\) | 30.1969 | − | 30.1969i | 1.04563 | − | 1.04563i | ||||
\(835\) | −1.21747 | + | 7.68678i | −0.0421322 | + | 0.266012i | ||||
\(836\) | −7.14418 | + | 21.9875i | −0.247087 | + | 0.760454i | ||||
\(837\) | −11.6127 | + | 1.83926i | −0.401392 | + | 0.0635743i | ||||
\(838\) | 9.29731 | + | 28.6142i | 0.321170 | + | 0.988460i | ||||
\(839\) | −5.30778 | − | 10.4171i | −0.183245 | − | 0.359638i | 0.781050 | − | 0.624468i | \(-0.214684\pi\) |
−0.964295 | + | 0.264830i | \(0.914684\pi\) | |||||||
\(840\) | −18.5799 | − | 6.03696i | −0.641066 | − | 0.208295i | ||||
\(841\) | 4.38091 | + | 1.42344i | 0.151066 | + | 0.0490843i | ||||
\(842\) | −5.96702 | − | 11.7109i | −0.205637 | − | 0.403585i | ||||
\(843\) | 0.144192 | + | 0.443776i | 0.00496622 | + | 0.0152845i | ||||
\(844\) | −3.46675 | + | 0.549079i | −0.119330 | + | 0.0189001i | ||||
\(845\) | −4.97246 | + | 15.3036i | −0.171058 | + | 0.526461i | ||||
\(846\) | 1.21378 | − | 7.66350i | 0.0417306 | − | 0.263476i | ||||
\(847\) | 12.6285 | − | 12.6285i | 0.433921 | − | 0.433921i | ||||
\(848\) | 6.65167 | − | 13.0546i | 0.228419 | − | 0.448298i | ||||
\(849\) | −23.9119 | − | 3.78727i | −0.820653 | − | 0.129979i | ||||
\(850\) | −0.862953 | − | 5.44847i | −0.0295990 | − | 0.186881i | ||||
\(851\) | −2.22807 | − | 1.61878i | −0.0763771 | − | 0.0554912i | ||||
\(852\) | 5.40186i | 0.185065i | ||||||||
\(853\) | −14.3175 | + | 19.7064i | −0.490223 | + | 0.674734i | −0.980429 | − | 0.196873i | \(-0.936921\pi\) |
0.490206 | + | 0.871607i | \(0.336921\pi\) | |||||||
\(854\) | −8.64201 | + | 4.40332i | −0.295723 | + | 0.150679i | ||||
\(855\) | −33.8987 | − | 17.2723i | −1.15931 | − | 0.590699i | ||||
\(856\) | −6.11052 | − | 8.41040i | −0.208853 | − | 0.287462i | ||||
\(857\) | −4.13061 | + | 3.00106i | −0.141099 | + | 0.102514i | −0.656096 | − | 0.754678i | \(-0.727793\pi\) |
0.514997 | + | 0.857192i | \(0.327793\pi\) | |||||||
\(858\) | 24.9894 | + | 24.9894i | 0.853123 | + | 0.853123i | ||||
\(859\) | 0.384709 | − | 0.125000i | 0.0131261 | − | 0.00426493i | −0.302447 | − | 0.953166i | \(-0.597803\pi\) |
0.315573 | + | 0.948901i | \(0.397803\pi\) | |||||||
\(860\) | −2.55468 | −0.0871137 | ||||||||
\(861\) | −11.6307 | − | 11.0051i | −0.396374 | − | 0.375052i | ||||
\(862\) | −23.4869 | −0.799969 | ||||||||
\(863\) | 36.1033 | − | 11.7307i | 1.22897 | − | 0.399316i | 0.378629 | − | 0.925549i | \(-0.376396\pi\) |
0.850341 | + | 0.526232i | \(0.176396\pi\) | |||||||
\(864\) | 5.48064 | + | 5.48064i | 0.186455 | + | 0.186455i | ||||
\(865\) | 21.8041 | − | 15.8416i | 0.741360 | − | 0.538630i | ||||
\(866\) | −3.30304 | − | 4.54624i | −0.112242 | − | 0.154488i | ||||
\(867\) | 14.5220 | + | 7.39933i | 0.493193 | + | 0.251294i | ||||
\(868\) | 2.49368 | − | 1.27060i | 0.0846411 | − | 0.0431268i | ||||
\(869\) | −49.1060 | + | 67.5886i | −1.66581 | + | 2.29279i | ||||
\(870\) | − | 39.0712i | − | 1.32464i | ||||||
\(871\) | 11.1709 | + | 8.11615i | 0.378512 | + | 0.275005i | ||||
\(872\) | 6.55794 | + | 41.4052i | 0.222080 | + | 1.40216i | ||||
\(873\) | 7.87618 | + | 1.24747i | 0.266568 | + | 0.0422203i | ||||
\(874\) | 17.2193 | − | 33.7949i | 0.582453 | − | 1.14313i | ||||
\(875\) | −7.22503 | + | 7.22503i | −0.244250 | + | 0.244250i | ||||
\(876\) | −0.0279445 | + | 0.176435i | −0.000944157 | + | 0.00596117i | ||||
\(877\) | 11.4052 | − | 35.1015i | 0.385125 | − | 1.18529i | −0.551264 | − | 0.834331i | \(-0.685854\pi\) |
0.936389 | − | 0.350963i | \(-0.114146\pi\) | |||||||
\(878\) | 14.8664 | − | 2.35461i | 0.501718 | − | 0.0794643i | ||||
\(879\) | −5.15932 | − | 15.8788i | −0.174020 | − | 0.535577i | ||||
\(880\) | 15.6222 | + | 30.6603i | 0.526625 | + | 1.03356i | ||||
\(881\) | −10.6200 | − | 3.45065i | −0.357798 | − | 0.116255i | 0.124602 | − | 0.992207i | \(-0.460235\pi\) |
−0.482399 | + | 0.875951i | \(0.660235\pi\) | |||||||
\(882\) | −11.8734 | − | 3.85789i | −0.399797 | − | 0.129902i | ||||
\(883\) | −10.6504 | − | 20.9026i | −0.358415 | − | 0.703429i | 0.639444 | − | 0.768838i | \(-0.279165\pi\) |
−0.997859 | + | 0.0654092i | \(0.979165\pi\) | |||||||
\(884\) | −1.34235 | − | 4.13134i | −0.0451483 | − | 0.138952i | ||||
\(885\) | 4.33300 | − | 0.686280i | 0.145652 | − | 0.0230691i | ||||
\(886\) | 5.14158 | − | 15.8241i | 0.172735 | − | 0.531622i | ||||
\(887\) | 4.35893 | − | 27.5212i | 0.146358 | − | 0.924071i | −0.799776 | − | 0.600298i | \(-0.795049\pi\) |
0.946135 | − | 0.323773i | \(-0.104951\pi\) | |||||||
\(888\) | 3.43869 | − | 3.43869i | 0.115395 | − | 0.115395i | ||||
\(889\) | 6.99088 | − | 13.7204i | 0.234467 | − | 0.460166i | ||||
\(890\) | −5.16811 | − | 0.818548i | −0.173235 | − | 0.0274378i | ||||
\(891\) | −9.00883 | − | 56.8795i | −0.301807 | − | 1.90554i | ||||
\(892\) | 1.79915 | + | 1.30716i | 0.0602400 | + | 0.0437669i | ||||
\(893\) | − | 29.1928i | − | 0.976899i | ||||||
\(894\) | −8.45181 | + | 11.6329i | −0.282671 | + | 0.389063i | ||||
\(895\) | −4.33064 | + | 2.20657i | −0.144757 | + | 0.0737576i | ||||
\(896\) | 4.77344 | + | 2.43219i | 0.159469 | + | 0.0812537i | ||||
\(897\) | 12.7119 | + | 17.4965i | 0.424439 | + | 0.584190i | ||||
\(898\) | −5.20780 | + | 3.78369i | −0.173787 | + | 0.126263i | ||||
\(899\) | 18.5265 | + | 18.5265i | 0.617893 | + | 0.617893i | ||||
\(900\) | 1.38513 | − | 0.450057i | 0.0461711 | − | 0.0150019i | ||||
\(901\) | 17.3142 | 0.576819 | ||||||||
\(902\) | 1.10267 | + | 39.8951i | 0.0367150 | + | 1.32836i | ||||
\(903\) | 4.61970 | 0.153734 | ||||||||
\(904\) | 38.6701 | − | 12.5647i | 1.28615 | − | 0.417895i | ||||
\(905\) | −10.6075 | − | 10.6075i | −0.352607 | − | 0.352607i | ||||
\(906\) | −7.25780 | + | 5.27310i | −0.241124 | + | 0.175187i | ||||
\(907\) | 22.2821 | + | 30.6687i | 0.739865 | + | 1.01834i | 0.998626 | + | 0.0523958i | \(0.0166857\pi\) |
−0.258761 | + | 0.965941i | \(0.583314\pi\) | |||||||
\(908\) | 0.277979 | + | 0.141638i | 0.00922507 | + | 0.00470041i | ||||
\(909\) | −5.00505 | + | 2.55020i | −0.166007 | + | 0.0845848i | ||||
\(910\) | −5.31722 | + | 7.31853i | −0.176264 | + | 0.242607i | ||||
\(911\) | 23.3777i | 0.774537i | 0.921967 | + | 0.387269i | \(0.126581\pi\) | ||||
−0.921967 | + | 0.387269i | \(0.873419\pi\) | |||||||
\(912\) | 38.2900 | + | 27.8193i | 1.26791 | + | 0.921190i | ||||
\(913\) | −3.45174 | − | 21.7934i | −0.114236 | − | 0.721258i | ||||
\(914\) | −12.1115 | − | 1.91827i | −0.400611 | − | 0.0634506i | ||||
\(915\) | 17.8767 | − | 35.0850i | 0.590985 | − | 1.15987i | ||||
\(916\) | 9.23544 | − | 9.23544i | 0.305147 | − | 0.305147i | ||||
\(917\) | −1.82452 | + | 11.5196i | −0.0602510 | + | 0.380410i | ||||
\(918\) | 3.00175 | − | 9.23843i | 0.0990725 | − | 0.304914i | ||||
\(919\) | 19.4344 | − | 3.07810i | 0.641080 | − | 0.101537i | 0.172573 | − | 0.984997i | \(-0.444792\pi\) |
0.468507 | + | 0.883460i | \(0.344792\pi\) | |||||||
\(920\) | 9.20832 | + | 28.3403i | 0.303589 | + | 0.934352i | ||||
\(921\) | 31.2921 | + | 61.4141i | 1.03111 | + | 2.02366i | ||||
\(922\) | −34.0853 | − | 11.0750i | −1.12254 | − | 0.364735i | ||||
\(923\) | 11.1354 | + | 3.61812i | 0.366527 | + | 0.119092i | ||||
\(924\) | 3.18563 | + | 6.25216i | 0.104800 | + | 0.205681i | ||||
\(925\) | 0.329619 | + | 1.01446i | 0.0108378 | + | 0.0333554i | ||||
\(926\) | 45.7940 | − | 7.25305i | 1.50488 | − | 0.238350i | ||||
\(927\) | −1.65278 | + | 5.08673i | −0.0542844 | + | 0.167070i | ||||
\(928\) | 2.70194 | − | 17.0594i | 0.0886955 | − | 0.560001i | ||||
\(929\) | 5.06327 | − | 5.06327i | 0.166120 | − | 0.166120i | −0.619151 | − | 0.785272i | \(-0.712523\pi\) |
0.785272 | + | 0.619151i | \(0.212523\pi\) | |||||||
\(930\) | 13.8290 | − | 27.1409i | 0.453470 | − | 0.889986i | ||||
\(931\) | −46.3933 | − | 7.34798i | −1.52048 | − | 0.240820i | ||||
\(932\) | −1.05516 | − | 6.66204i | −0.0345630 | − | 0.218222i | ||||
\(933\) | −26.1885 | − | 19.0271i | −0.857373 | − | 0.622918i | ||||
\(934\) | − | 3.32445i | − | 0.108779i | ||||||
\(935\) | −23.9019 | + | 32.8981i | −0.781676 | + | 1.07588i | ||||
\(936\) | −12.8233 | + | 6.53380i | −0.419143 | + | 0.213564i | ||||
\(937\) | 38.9861 | + | 19.8644i | 1.27362 | + | 0.648942i | 0.954341 | − | 0.298718i | \(-0.0965590\pi\) |
0.319280 | + | 0.947660i | \(0.396559\pi\) | |||||||
\(938\) | −4.32022 | − | 5.94627i | −0.141060 | − | 0.194153i | ||||
\(939\) | 29.4804 | − | 21.4187i | 0.962055 | − | 0.698974i | ||||
\(940\) | 3.46467 | + | 3.46467i | 0.113005 | + | 0.113005i | ||||
\(941\) | −24.9275 | + | 8.09943i | −0.812613 | + | 0.264034i | −0.685704 | − | 0.727881i | \(-0.740506\pi\) |
−0.126909 | + | 0.991914i | \(0.540506\pi\) | |||||||
\(942\) | 26.7883 | 0.872809 | ||||||||
\(943\) | −3.15274 | + | 24.2192i | −0.102667 | + | 0.788685i | ||||
\(944\) | −2.05676 | −0.0669417 | ||||||||
\(945\) | 7.17633 | − | 2.33173i | 0.233446 | − | 0.0758513i | ||||
\(946\) | −8.14213 | − | 8.14213i | −0.264723 | − | 0.264723i | ||||
\(947\) | 26.7046 | − | 19.4020i | 0.867781 | − | 0.630480i | −0.0622093 | − | 0.998063i | \(-0.519815\pi\) |
0.929991 | + | 0.367583i | \(0.119815\pi\) | |||||||
\(948\) | −11.3362 | − | 15.6030i | −0.368183 | − | 0.506760i | ||||
\(949\) | 0.344986 | + | 0.175779i | 0.0111987 | + | 0.00570604i | ||||
\(950\) | −13.0891 | + | 6.66925i | −0.424667 | + | 0.216379i | ||||
\(951\) | 42.0072 | − | 57.8180i | 1.36218 | − | 1.87488i | ||||
\(952\) | 10.8235i | 0.350792i | ||||||||
\(953\) | −2.15205 | − | 1.56356i | −0.0697119 | − | 0.0506486i | 0.552384 | − | 0.833590i | \(-0.313718\pi\) |
−0.622095 | + | 0.782941i | \(0.713718\pi\) | |||||||
\(954\) | −1.91709 | − | 12.1040i | −0.0620680 | − | 0.391882i | ||||
\(955\) | −7.94876 | − | 1.25896i | −0.257216 | − | 0.0407390i | ||||
\(956\) | 1.67353 | − | 3.28448i | 0.0541257 | − | 0.106228i | ||||
\(957\) | −46.4496 | + | 46.4496i | −1.50150 | + | 1.50150i | ||||
\(958\) | 6.80288 | − | 42.9517i | 0.219791 | − | 1.38771i | ||||
\(959\) | −2.02132 | + | 6.22098i | −0.0652718 | + | 0.200886i | ||||
\(960\) | −48.7137 | + | 7.71549i | −1.57223 | + | 0.249016i | ||||
\(961\) | −3.26738 | − | 10.0559i | −0.105399 | − | 0.324385i | ||||
\(962\) | −1.02231 | − | 2.00640i | −0.0329607 | − | 0.0646891i | ||||
\(963\) | −5.84401 | − | 1.89884i | −0.188321 | − | 0.0611891i | ||||
\(964\) | 9.91070 | + | 3.22018i | 0.319202 | + | 0.103715i | ||||
\(965\) | 18.2462 | + | 35.8102i | 0.587366 | + | 1.15277i | ||||
\(966\) | −3.55739 | − | 10.9485i | −0.114457 | − | 0.352263i | ||||
\(967\) | 12.8463 | − | 2.03466i | 0.413110 | − | 0.0654303i | 0.0535799 | − | 0.998564i | \(-0.482937\pi\) |
0.359531 | + | 0.933133i | \(0.382937\pi\) | |||||||
\(968\) | 14.8645 | − | 45.7482i | 0.477762 | − | 1.47040i | ||||
\(969\) | −8.74940 | + | 55.2415i | −0.281071 | + | 1.77461i | ||||
\(970\) | 9.54613 | − | 9.54613i | 0.306508 | − | 0.306508i | ||||
\(971\) | −3.29747 | + | 6.47166i | −0.105821 | + | 0.207685i | −0.937845 | − | 0.347054i | \(-0.887182\pi\) |
0.832024 | + | 0.554739i | \(0.187182\pi\) | |||||||
\(972\) | 8.94247 | + | 1.41635i | 0.286830 | + | 0.0454294i | ||||
\(973\) | −2.87505 | − | 18.1524i | −0.0921700 | − | 0.581939i | ||||
\(974\) | −14.9503 | − | 10.8620i | −0.479039 | − | 0.348042i | ||||
\(975\) | − | 8.37632i | − | 0.268257i | ||||||
\(976\) | −10.8511 | + | 14.9352i | −0.347334 | + | 0.478065i | ||||
\(977\) | 26.7289 | − | 13.6190i | 0.855132 | − | 0.435711i | 0.0292617 | − | 0.999572i | \(-0.490684\pi\) |
0.825870 | + | 0.563860i | \(0.190684\pi\) | |||||||
\(978\) | −44.2251 | − | 22.5338i | −1.41416 | − | 0.720552i | ||||
\(979\) | 5.17095 | + | 7.11720i | 0.165264 | + | 0.227467i | ||||
\(980\) | 6.37815 | − | 4.63399i | 0.203742 | − | 0.148028i | ||||
\(981\) | 17.5213 | + | 17.5213i | 0.559411 | + | 0.559411i | ||||
\(982\) | 9.63997 | − | 3.13222i | 0.307624 | − | 0.0999530i | ||||
\(983\) | −47.8093 | −1.52488 | −0.762439 | − | 0.647060i | \(-0.775998\pi\) | ||||
−0.762439 | + | 0.647060i | \(0.775998\pi\) | |||||||
\(984\) | −41.3685 | − | 12.1886i | −1.31878 | − | 0.388557i | ||||
\(985\) | 11.5678 | 0.368582 | ||||||||
\(986\) | −20.5871 | + | 6.68915i | −0.655626 | + | 0.213026i | ||||
\(987\) | −6.26526 | − | 6.26526i | −0.199426 | − | 0.199426i | ||||
\(988\) | −9.35875 | + | 6.79953i | −0.297741 | + | 0.216322i | ||||
\(989\) | −4.14185 | − | 5.70077i | −0.131703 | − | 0.181274i | ||||
\(990\) | 25.6449 | + | 13.0668i | 0.815050 | + | 0.415289i | ||||
\(991\) | −37.8416 | + | 19.2812i | −1.20208 | + | 0.612489i | −0.936183 | − | 0.351513i | \(-0.885667\pi\) |
−0.265894 | + | 0.964002i | \(0.585667\pi\) | |||||||
\(992\) | 7.91496 | − | 10.8940i | 0.251300 | − | 0.345885i | ||||
\(993\) | 4.13151i | 0.131110i | ||||||||
\(994\) | −5.04213 | − | 3.66332i | −0.159927 | − | 0.116193i | ||||
\(995\) | 3.57673 | + | 22.5826i | 0.113390 | + | 0.715917i | ||||
\(996\) | 5.03106 | + | 0.796841i | 0.159415 | + | 0.0252489i | ||||
\(997\) | −19.2309 | + | 37.7427i | −0.609048 | + | 1.19532i | 0.356303 | + | 0.934370i | \(0.384037\pi\) |
−0.965351 | + | 0.260954i | \(0.915963\pi\) | |||||||
\(998\) | 6.57516 | − | 6.57516i | 0.208133 | − | 0.208133i | ||||
\(999\) | −0.293833 | + | 1.85519i | −0.00929646 | + | 0.0586955i |
(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 | 41.2.g.a.39.3 | yes | 24 | |
3.2 | odd | 2 | 369.2.u.a.244.1 | 24 | |||
4.3 | odd | 2 | 656.2.bs.d.449.2 | 24 | |||
41.15 | odd | 40 | 1681.2.a.m.1.15 | 24 | |||
41.20 | even | 20 | inner | 41.2.g.a.20.3 | ✓ | 24 | |
41.26 | odd | 40 | 1681.2.a.m.1.16 | 24 | |||
123.20 | odd | 20 | 369.2.u.a.307.1 | 24 | |||
164.143 | odd | 20 | 656.2.bs.d.225.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.20.3 | ✓ | 24 | 41.20 | even | 20 | inner | |
41.2.g.a.39.3 | yes | 24 | 1.1 | even | 1 | trivial | |
369.2.u.a.244.1 | 24 | 3.2 | odd | 2 | |||
369.2.u.a.307.1 | 24 | 123.20 | odd | 20 | |||
656.2.bs.d.225.2 | 24 | 164.143 | odd | 20 | |||
656.2.bs.d.449.2 | 24 | 4.3 | odd | 2 | |||
1681.2.a.m.1.15 | 24 | 41.15 | odd | 40 | |||
1681.2.a.m.1.16 | 24 | 41.26 | odd | 40 |