Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 225.121 |
Dual form | 225.2.q.a.106.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.59352 | + | 0.551270i | −1.83390 | + | 0.389806i | −0.989335 | − | 0.145655i | \(-0.953471\pi\) |
−0.844560 | + | 0.535462i | \(0.820138\pi\) | |||||||
\(3\) | 0.494958 | + | 1.65982i | 0.285764 | + | 0.958300i | ||||
\(4\) | 4.59535 | − | 2.04598i | 2.29768 | − | 1.02299i | ||||
\(5\) | −0.527975 | + | 2.17284i | −0.236118 | + | 0.971724i | ||||
\(6\) | −2.19869 | − | 4.03193i | −0.897612 | − | 1.64603i | ||||
\(7\) | 1.02644 | + | 1.77785i | 0.387959 | + | 0.671966i | 0.992175 | − | 0.124855i | \(-0.0398467\pi\) |
−0.604215 | + | 0.796821i | \(0.706513\pi\) | |||||||
\(8\) | −6.50010 | + | 4.72260i | −2.29813 | + | 1.66969i | ||||
\(9\) | −2.51003 | + | 1.64309i | −0.836678 | + | 0.547695i | ||||
\(10\) | 0.171493 | − | 5.92636i | 0.0542308 | − | 1.87408i | ||||
\(11\) | 5.61416 | − | 1.19333i | 1.69273 | − | 0.359801i | 0.742140 | − | 0.670244i | \(-0.233811\pi\) |
0.950592 | + | 0.310443i | \(0.100477\pi\) | |||||||
\(12\) | 5.67048 | + | 6.61480i | 1.63693 | + | 1.90953i | ||||
\(13\) | 2.04279 | + | 0.434208i | 0.566568 | + | 0.120428i | 0.482285 | − | 0.876014i | \(-0.339807\pi\) |
0.0842823 | + | 0.996442i | \(0.473140\pi\) | |||||||
\(14\) | −3.64218 | − | 4.04505i | −0.973413 | − | 1.08109i | ||||
\(15\) | −3.86786 | + | 0.199118i | −0.998678 | + | 0.0514120i | ||||
\(16\) | 7.52292 | − | 8.35505i | 1.88073 | − | 2.08876i | ||||
\(17\) | −0.0247468 | + | 0.0179796i | −0.00600198 | + | 0.00436070i | −0.590782 | − | 0.806831i | \(-0.701181\pi\) |
0.584780 | + | 0.811192i | \(0.301181\pi\) | |||||||
\(18\) | 5.60404 | − | 5.64508i | 1.32088 | − | 1.33056i | ||||
\(19\) | −5.30003 | + | 3.85070i | −1.21591 | + | 0.883410i | −0.995754 | − | 0.0920546i | \(-0.970657\pi\) |
−0.220156 | + | 0.975465i | \(0.570657\pi\) | |||||||
\(20\) | 2.01936 | + | 11.0652i | 0.451544 | + | 2.47425i | ||||
\(21\) | −2.44288 | + | 2.58368i | −0.533080 | + | 0.563805i | ||||
\(22\) | −13.9026 | + | 6.18983i | −2.96404 | + | 1.31968i | ||||
\(23\) | −2.69572 | − | 2.99390i | −0.562096 | − | 0.624271i | 0.393367 | − | 0.919382i | \(-0.371310\pi\) |
−0.955463 | + | 0.295111i | \(0.904644\pi\) | |||||||
\(24\) | −11.0560 | − | 8.45153i | −2.25679 | − | 1.72516i | ||||
\(25\) | −4.44248 | − | 2.29441i | −0.888497 | − | 0.458883i | ||||
\(26\) | −5.53738 | −1.08597 | ||||||||
\(27\) | −3.96959 | − | 3.35296i | −0.763949 | − | 0.645277i | ||||
\(28\) | 8.35433 | + | 6.06978i | 1.57882 | + | 1.14708i | ||||
\(29\) | −0.343074 | + | 3.26413i | −0.0637072 | + | 0.606134i | 0.915366 | + | 0.402624i | \(0.131902\pi\) |
−0.979073 | + | 0.203510i | \(0.934765\pi\) | |||||||
\(30\) | 9.92161 | − | 2.64865i | 1.81143 | − | 0.483575i | ||||
\(31\) | −0.336018 | − | 3.19700i | −0.0603507 | − | 0.574198i | −0.982356 | − | 0.187021i | \(-0.940117\pi\) |
0.922005 | − | 0.387177i | \(-0.126550\pi\) | |||||||
\(32\) | −6.87040 | + | 11.8999i | −1.21453 | + | 2.10362i | ||||
\(33\) | 4.75948 | + | 8.72787i | 0.828519 | + | 1.51933i | ||||
\(34\) | 0.0542697 | − | 0.0602726i | 0.00930718 | − | 0.0103367i | ||||
\(35\) | −4.40493 | + | 1.29164i | −0.744569 | + | 0.218327i | ||||
\(36\) | −8.17277 | + | 12.6860i | −1.36213 | + | 2.11434i | ||||
\(37\) | 1.37908 | + | 4.24438i | 0.226720 | + | 0.697771i | 0.998112 | + | 0.0614120i | \(0.0195604\pi\) |
−0.771393 | + | 0.636359i | \(0.780440\pi\) | |||||||
\(38\) | 11.6230 | − | 12.9086i | 1.88549 | − | 2.09405i | ||||
\(39\) | 0.290384 | + | 3.60558i | 0.0464987 | + | 0.577356i | ||||
\(40\) | −6.82956 | − | 16.6171i | −1.07985 | − | 2.62739i | ||||
\(41\) | −1.88764 | − | 0.401231i | −0.294800 | − | 0.0626617i | 0.0581374 | − | 0.998309i | \(-0.481484\pi\) |
−0.352938 | + | 0.935647i | \(0.614817\pi\) | |||||||
\(42\) | 4.91135 | − | 8.04751i | 0.757838 | − | 1.24176i | ||||
\(43\) | 0.309512 | + | 0.536091i | 0.0472002 | + | 0.0817531i | 0.888660 | − | 0.458566i | \(-0.151637\pi\) |
−0.841460 | + | 0.540319i | \(0.818303\pi\) | |||||||
\(44\) | 23.3575 | − | 16.9702i | 3.52128 | − | 2.55836i | ||||
\(45\) | −2.24493 | − | 6.32142i | −0.334654 | − | 0.942341i | ||||
\(46\) | 8.64184 | + | 6.27867i | 1.27417 | + | 0.925739i | ||||
\(47\) | 0.271227 | − | 2.58056i | 0.0395626 | − | 0.376413i | −0.956770 | − | 0.290846i | \(-0.906063\pi\) |
0.996332 | − | 0.0855668i | \(-0.0272701\pi\) | |||||||
\(48\) | 17.5915 | + | 8.35134i | 2.53911 | + | 1.20541i | ||||
\(49\) | 1.39282 | − | 2.41244i | 0.198975 | − | 0.344635i | ||||
\(50\) | 12.7865 | + | 3.50160i | 1.80829 | + | 0.495201i | ||||
\(51\) | −0.0420916 | − | 0.0321762i | −0.00589400 | − | 0.00450557i | ||||
\(52\) | 10.2757 | − | 2.18417i | 1.42499 | − | 0.302890i | ||||
\(53\) | −2.83942 | − | 2.06296i | −0.390024 | − | 0.283369i | 0.375441 | − | 0.926846i | \(-0.377491\pi\) |
−0.765465 | + | 0.643477i | \(0.777491\pi\) | |||||||
\(54\) | 12.1436 | + | 6.50765i | 1.65253 | + | 0.885579i | ||||
\(55\) | −0.371228 | + | 12.8287i | −0.0500564 | + | 1.72983i | ||||
\(56\) | −15.0681 | − | 6.70874i | −2.01356 | − | 0.896493i | ||||
\(57\) | −9.01477 | − | 6.89118i | −1.19404 | − | 0.912760i | ||||
\(58\) | −0.909647 | − | 8.65471i | −0.119442 | − | 1.13642i | ||||
\(59\) | 7.94668 | + | 1.68912i | 1.03457 | + | 0.219904i | 0.693744 | − | 0.720222i | \(-0.255960\pi\) |
0.340826 | + | 0.940127i | \(0.389293\pi\) | |||||||
\(60\) | −17.3668 | + | 8.82860i | −2.24204 | + | 1.13977i | ||||
\(61\) | 8.06706 | − | 1.71471i | 1.03288 | − | 0.219546i | 0.339870 | − | 0.940472i | \(-0.389617\pi\) |
0.693011 | + | 0.720927i | \(0.256284\pi\) | |||||||
\(62\) | 2.63388 | + | 8.10625i | 0.334503 | + | 1.02949i | ||||
\(63\) | −5.49758 | − | 2.77594i | −0.692629 | − | 0.349735i | ||||
\(64\) | 4.31002 | − | 13.2649i | 0.538753 | − | 1.65811i | ||||
\(65\) | −2.02201 | + | 4.20940i | −0.250799 | + | 0.522112i | ||||
\(66\) | −17.1552 | − | 20.0121i | −2.11166 | − | 2.46332i | ||||
\(67\) | 0.0735643 | + | 0.699918i | 0.00898731 | + | 0.0855086i | 0.998096 | − | 0.0616775i | \(-0.0196450\pi\) |
−0.989109 | + | 0.147186i | \(0.952978\pi\) | |||||||
\(68\) | −0.0769343 | + | 0.133254i | −0.00932966 | + | 0.0161594i | ||||
\(69\) | 3.63508 | − | 5.95627i | 0.437612 | − | 0.717051i | ||||
\(70\) | 10.7122 | − | 5.77819i | 1.28036 | − | 0.690626i | ||||
\(71\) | 3.81216 | + | 2.76970i | 0.452421 | + | 0.328703i | 0.790551 | − | 0.612397i | \(-0.209794\pi\) |
−0.338130 | + | 0.941099i | \(0.609794\pi\) | |||||||
\(72\) | 8.55584 | − | 22.5341i | 1.00831 | − | 2.65567i | ||||
\(73\) | 2.55263 | − | 7.85620i | 0.298763 | − | 0.919499i | −0.683168 | − | 0.730261i | \(-0.739398\pi\) |
0.981931 | − | 0.189237i | \(-0.0606016\pi\) | |||||||
\(74\) | −5.91647 | − | 10.2476i | −0.687776 | − | 1.19126i | ||||
\(75\) | 1.60948 | − | 8.50938i | 0.185847 | − | 0.982579i | ||||
\(76\) | −16.4770 | + | 28.5391i | −1.89005 | + | 3.27366i | ||||
\(77\) | 7.88418 | + | 8.75627i | 0.898486 | + | 0.997870i | ||||
\(78\) | −2.74077 | − | 9.19107i | −0.310331 | − | 1.04068i | ||||
\(79\) | −1.25546 | + | 11.9449i | −0.141251 | + | 1.34391i | 0.662554 | + | 0.749015i | \(0.269473\pi\) |
−0.803804 | + | 0.594894i | \(0.797194\pi\) | |||||||
\(80\) | 14.1823 | + | 20.7574i | 1.58563 | + | 2.32075i | ||||
\(81\) | 3.60054 | − | 8.24840i | 0.400060 | − | 0.916489i | ||||
\(82\) | 5.11682 | 0.565058 | ||||||||
\(83\) | 12.0272 | + | 5.35485i | 1.32015 | + | 0.587771i | 0.941264 | − | 0.337671i | \(-0.109639\pi\) |
0.378890 | + | 0.925442i | \(0.376306\pi\) | |||||||
\(84\) | −5.93973 | + | 16.8710i | −0.648077 | + | 1.84078i | ||||
\(85\) | −0.0260011 | − | 0.0632637i | −0.00282022 | − | 0.00686191i | ||||
\(86\) | −1.09826 | − | 1.21974i | −0.118428 | − | 0.131528i | ||||
\(87\) | −5.58769 | + | 1.04616i | −0.599063 | + | 0.112161i | ||||
\(88\) | −30.8570 | + | 34.2701i | −3.28936 | + | 3.65321i | ||||
\(89\) | 1.99904 | − | 6.15242i | 0.211898 | − | 0.652155i | −0.787461 | − | 0.616364i | \(-0.788605\pi\) |
0.999359 | − | 0.0357910i | \(-0.0113951\pi\) | |||||||
\(90\) | 9.30707 | + | 15.1572i | 0.981051 | + | 1.59770i | ||||
\(91\) | 1.32485 | + | 4.07747i | 0.138882 | + | 0.427435i | ||||
\(92\) | −18.5132 | − | 8.24263i | −1.93014 | − | 0.859353i | ||||
\(93\) | 5.14015 | − | 2.14011i | 0.533008 | − | 0.221919i | ||||
\(94\) | 0.719149 | + | 6.84224i | 0.0741745 | + | 0.705724i | ||||
\(95\) | −5.56867 | − | 13.5492i | −0.571333 | − | 1.39012i | ||||
\(96\) | −23.1523 | − | 5.51372i | −2.36297 | − | 0.562742i | ||||
\(97\) | 1.06825 | − | 10.1637i | 0.108464 | − | 1.03196i | −0.795966 | − | 0.605342i | \(-0.793036\pi\) |
0.904430 | − | 0.426623i | \(-0.140297\pi\) | |||||||
\(98\) | −2.28241 | + | 7.02454i | −0.230558 | + | 0.709585i | ||||
\(99\) | −12.1310 | + | 12.2198i | −1.21921 | + | 1.22814i | ||||
\(100\) | −25.1091 | − | 1.45440i | −2.51091 | − | 0.145440i | ||||
\(101\) | −1.06922 | − | 1.85194i | −0.106391 | − | 0.184275i | 0.807915 | − | 0.589300i | \(-0.200596\pi\) |
−0.914306 | + | 0.405025i | \(0.867263\pi\) | |||||||
\(102\) | 0.126903 | + | 0.0602458i | 0.0125653 | + | 0.00596522i | ||||
\(103\) | −1.10330 | + | 0.491221i | −0.108711 | + | 0.0484014i | −0.460372 | − | 0.887726i | \(-0.652284\pi\) |
0.351660 | + | 0.936128i | \(0.385617\pi\) | |||||||
\(104\) | −15.3289 | + | 6.82487i | −1.50312 | + | 0.669234i | ||||
\(105\) | −4.32415 | − | 6.67211i | −0.421994 | − | 0.651131i | ||||
\(106\) | 8.50133 | + | 3.78504i | 0.825722 | + | 0.367635i | ||||
\(107\) | −11.1600 | −1.07887 | −0.539437 | − | 0.842026i | \(-0.681363\pi\) | ||||
−0.539437 | + | 0.842026i | \(0.681363\pi\) | |||||||
\(108\) | −25.1018 | − | 7.28631i | −2.41542 | − | 0.701125i | ||||
\(109\) | 2.86190 | + | 8.80802i | 0.274120 | + | 0.843655i | 0.989451 | + | 0.144869i | \(0.0462761\pi\) |
−0.715331 | + | 0.698786i | \(0.753724\pi\) | |||||||
\(110\) | −6.10930 | − | 33.4762i | −0.582499 | − | 3.19183i | ||||
\(111\) | −6.36233 | + | 4.38982i | −0.603886 | + | 0.416663i | ||||
\(112\) | 22.5759 | + | 4.79866i | 2.13322 | + | 0.453431i | ||||
\(113\) | 8.55043 | + | 1.81745i | 0.804357 | + | 0.170971i | 0.591703 | − | 0.806156i | \(-0.298456\pi\) |
0.212654 | + | 0.977128i | \(0.431789\pi\) | |||||||
\(114\) | 27.1789 | + | 12.9029i | 2.54553 | + | 1.20846i | ||||
\(115\) | 7.92854 | − | 4.27667i | 0.739340 | − | 0.398801i | ||||
\(116\) | 5.10181 | + | 15.7018i | 0.473691 | + | 1.45787i | ||||
\(117\) | −5.84091 | + | 2.26660i | −0.539992 | + | 0.209547i | ||||
\(118\) | −21.5410 | −1.98301 | ||||||||
\(119\) | −0.0573663 | − | 0.0255411i | −0.00525876 | − | 0.00234135i | ||||
\(120\) | 24.2011 | − | 19.5606i | 2.20925 | − | 1.78563i | ||||
\(121\) | 20.0457 | − | 8.92494i | 1.82234 | − | 0.811358i | ||||
\(122\) | −19.9768 | + | 8.89425i | −1.80862 | + | 0.805248i | ||||
\(123\) | −0.268330 | − | 3.33175i | −0.0241945 | − | 0.300413i | ||||
\(124\) | −8.08513 | − | 14.0039i | −0.726066 | − | 1.25758i | ||||
\(125\) | 7.33092 | − | 8.44142i | 0.655698 | − | 0.755024i | ||||
\(126\) | 15.7884 | + | 4.16880i | 1.40654 | + | 0.371387i | ||||
\(127\) | −0.411180 | + | 1.26548i | −0.0364863 | + | 0.112293i | −0.967641 | − | 0.252331i | \(-0.918803\pi\) |
0.931155 | + | 0.364625i | \(0.118803\pi\) | |||||||
\(128\) | −0.992989 | + | 9.44766i | −0.0877687 | + | 0.835063i | ||||
\(129\) | −0.736621 | + | 0.779078i | −0.0648559 | + | 0.0685940i | ||||
\(130\) | 2.92360 | − | 12.0318i | 0.256417 | − | 1.05526i | ||||
\(131\) | 1.77837 | + | 16.9200i | 0.155377 | + | 1.47831i | 0.743062 | + | 0.669222i | \(0.233373\pi\) |
−0.587686 | + | 0.809089i | \(0.699961\pi\) | |||||||
\(132\) | 39.7286 | + | 30.3698i | 3.45793 | + | 2.64335i | ||||
\(133\) | −12.2862 | − | 5.47015i | −1.06534 | − | 0.474322i | ||||
\(134\) | −0.576634 | − | 1.77470i | −0.0498136 | − | 0.153310i | ||||
\(135\) | 9.38130 | − | 6.85502i | 0.807413 | − | 0.589986i | ||||
\(136\) | 0.0759462 | − | 0.233738i | 0.00651233 | − | 0.0200429i | ||||
\(137\) | 3.32795 | − | 3.69607i | 0.284326 | − | 0.315776i | −0.584016 | − | 0.811742i | \(-0.698519\pi\) |
0.868342 | + | 0.495966i | \(0.165186\pi\) | |||||||
\(138\) | −6.14414 | + | 17.4516i | −0.523024 | + | 1.48558i | ||||
\(139\) | −8.86185 | − | 9.84208i | −0.751652 | − | 0.834794i | 0.239027 | − | 0.971013i | \(-0.423172\pi\) |
−0.990679 | + | 0.136219i | \(0.956505\pi\) | |||||||
\(140\) | −17.5995 | + | 14.9479i | −1.48743 | + | 1.26333i | ||||
\(141\) | 4.41752 | − | 0.827076i | 0.372022 | − | 0.0696524i | ||||
\(142\) | −11.4138 | − | 5.08174i | −0.957822 | − | 0.426450i | ||||
\(143\) | 11.9867 | 1.00238 | ||||||||
\(144\) | −5.15473 | + | 33.3323i | −0.429561 | + | 2.77769i | ||||
\(145\) | −6.91131 | − | 2.46883i | −0.573953 | − | 0.205025i | ||||
\(146\) | −2.28942 | + | 21.7824i | −0.189474 | + | 1.80272i | ||||
\(147\) | 4.69362 | + | 1.11779i | 0.387123 | + | 0.0921935i | ||||
\(148\) | 15.0213 | + | 16.6828i | 1.23474 | + | 1.37132i | ||||
\(149\) | 7.12203 | − | 12.3357i | 0.583459 | − | 1.01058i | −0.411606 | − | 0.911362i | \(-0.635032\pi\) |
0.995066 | − | 0.0992193i | \(-0.0316345\pi\) | |||||||
\(150\) | 0.516735 | + | 22.9565i | 0.0421913 | + | 1.87439i | ||||
\(151\) | 9.46978 | + | 16.4021i | 0.770640 | + | 1.33479i | 0.937213 | + | 0.348758i | \(0.113397\pi\) |
−0.166573 | + | 0.986029i | \(0.553270\pi\) | |||||||
\(152\) | 16.2654 | − | 50.0598i | 1.31930 | − | 4.06038i | ||||
\(153\) | 0.0325733 | − | 0.0857905i | 0.00263340 | − | 0.00693575i | ||||
\(154\) | −25.2748 | − | 18.3632i | −2.03670 | − | 1.47975i | ||||
\(155\) | 7.12399 | + | 0.957823i | 0.572212 | + | 0.0769342i | ||||
\(156\) | 8.71138 | + | 15.9748i | 0.697469 | + | 1.27901i | ||||
\(157\) | 4.74777 | − | 8.22338i | 0.378913 | − | 0.656297i | −0.611991 | − | 0.790865i | \(-0.709631\pi\) |
0.990904 | + | 0.134567i | \(0.0429645\pi\) | |||||||
\(158\) | −3.32881 | − | 31.6715i | −0.264826 | − | 2.51965i | ||||
\(159\) | 2.01876 | − | 5.73401i | 0.160098 | − | 0.454737i | ||||
\(160\) | −22.2292 | − | 21.2111i | −1.75737 | − | 1.67689i | ||||
\(161\) | 2.55571 | − | 7.86566i | 0.201418 | − | 0.619901i | ||||
\(162\) | −4.79099 | + | 23.3773i | −0.376415 | + | 1.83669i | ||||
\(163\) | −2.92027 | − | 8.98768i | −0.228733 | − | 0.703969i | −0.997891 | − | 0.0649101i | \(-0.979324\pi\) |
0.769158 | − | 0.639059i | \(-0.220676\pi\) | |||||||
\(164\) | −9.49529 | + | 2.01829i | −0.741458 | + | 0.157602i | ||||
\(165\) | −21.4772 | + | 5.73350i | −1.67200 | + | 0.446352i | ||||
\(166\) | −34.1447 | − | 7.25768i | −2.65014 | − | 0.563305i | ||||
\(167\) | 1.55302 | + | 14.7760i | 0.120176 | + | 1.14340i | 0.873865 | + | 0.486169i | \(0.161606\pi\) |
−0.753689 | + | 0.657231i | \(0.771727\pi\) | |||||||
\(168\) | 3.67727 | − | 28.3309i | 0.283708 | − | 2.18578i | ||||
\(169\) | −7.89164 | − | 3.51359i | −0.607050 | − | 0.270276i | ||||
\(170\) | 0.102310 | + | 0.149742i | 0.00784680 | + | 0.0114847i | ||||
\(171\) | 6.97623 | − | 18.3738i | 0.533486 | − | 1.40508i | ||||
\(172\) | 2.51915 | + | 1.83027i | 0.192083 | + | 0.139557i | ||||
\(173\) | −6.49513 | + | 1.38058i | −0.493815 | + | 0.104964i | −0.448086 | − | 0.893990i | \(-0.647894\pi\) |
−0.0457288 | + | 0.998954i | \(0.514561\pi\) | |||||||
\(174\) | 13.9151 | − | 5.79357i | 1.05490 | − | 0.439209i | ||||
\(175\) | −0.480830 | − | 10.2532i | −0.0363473 | − | 0.775067i | ||||
\(176\) | 32.2646 | − | 55.8839i | 2.43203 | − | 4.21241i | ||||
\(177\) | 1.12963 | + | 14.0261i | 0.0849080 | + | 1.05427i | ||||
\(178\) | −1.79291 | + | 17.0584i | −0.134385 | + | 1.27858i | ||||
\(179\) | −3.95088 | − | 2.87048i | −0.295303 | − | 0.214550i | 0.430262 | − | 0.902704i | \(-0.358421\pi\) |
−0.725564 | + | 0.688154i | \(0.758421\pi\) | |||||||
\(180\) | −23.2497 | − | 24.4561i | −1.73293 | − | 1.82285i | ||||
\(181\) | 8.58407 | − | 6.23669i | 0.638049 | − | 0.463570i | −0.221131 | − | 0.975244i | \(-0.570975\pi\) |
0.859179 | + | 0.511675i | \(0.170975\pi\) | |||||||
\(182\) | −5.68381 | − | 9.84464i | −0.421312 | − | 0.729734i | ||||
\(183\) | 6.83896 | + | 12.5412i | 0.505551 | + | 0.927072i | ||||
\(184\) | 31.6614 | + | 6.72984i | 2.33411 | + | 0.496130i | ||||
\(185\) | −9.95048 | + | 0.755600i | −0.731574 | + | 0.0555528i | ||||
\(186\) | −12.1513 | + | 8.38402i | −0.890976 | + | 0.614747i | ||||
\(187\) | −0.117477 | + | 0.130471i | −0.00859077 | + | 0.00954101i | ||||
\(188\) | −4.03339 | − | 12.4135i | −0.294165 | − | 0.905347i | ||||
\(189\) | 1.88650 | − | 10.4990i | 0.137223 | − | 0.763688i | ||||
\(190\) | 21.9117 | + | 32.0703i | 1.58964 | + | 2.32662i | ||||
\(191\) | −15.9877 | + | 17.7561i | −1.15683 | + | 1.28479i | −0.204790 | + | 0.978806i | \(0.565651\pi\) |
−0.952038 | + | 0.305981i | \(0.901016\pi\) | |||||||
\(192\) | 24.1507 | + | 0.588326i | 1.74292 | + | 0.0424588i | ||||
\(193\) | −12.8260 | + | 22.2154i | −0.923239 | + | 1.59910i | −0.128870 | + | 0.991662i | \(0.541135\pi\) |
−0.794369 | + | 0.607435i | \(0.792198\pi\) | |||||||
\(194\) | 2.83241 | + | 26.9486i | 0.203355 | + | 1.93479i | ||||
\(195\) | −7.98768 | − | 1.27270i | −0.572010 | − | 0.0911400i | ||||
\(196\) | 1.46470 | − | 13.9357i | 0.104622 | − | 0.995409i | ||||
\(197\) | 12.4362 | + | 9.03540i | 0.886039 | + | 0.643745i | 0.934842 | − | 0.355063i | \(-0.115541\pi\) |
−0.0488029 | + | 0.998808i | \(0.515541\pi\) | |||||||
\(198\) | 24.7255 | − | 38.3798i | 1.75717 | − | 2.72753i | ||||
\(199\) | −3.19201 | −0.226275 | −0.113138 | − | 0.993579i | \(-0.536090\pi\) | ||||
−0.113138 | + | 0.993579i | \(0.536090\pi\) | |||||||
\(200\) | 39.7122 | − | 6.06615i | 2.80807 | − | 0.428941i | ||||
\(201\) | −1.12533 | + | 0.468533i | −0.0793746 | + | 0.0330478i | ||||
\(202\) | 3.79395 | + | 4.21361i | 0.266942 | + | 0.296469i | ||||
\(203\) | −6.15529 | + | 2.74051i | −0.432017 | + | 0.192346i | ||||
\(204\) | −0.259258 | − | 0.0617423i | −0.0181517 | − | 0.00432283i | ||||
\(205\) | 1.86844 | − | 3.88971i | 0.130497 | − | 0.271669i | ||||
\(206\) | 2.59063 | − | 1.88221i | 0.180498 | − | 0.131140i | ||||
\(207\) | 11.6856 | + | 3.08549i | 0.812204 | + | 0.214457i | ||||
\(208\) | 18.9956 | − | 13.8011i | 1.31711 | − | 0.956934i | ||||
\(209\) | −25.1601 | + | 27.9431i | −1.74036 | + | 1.93286i | ||||
\(210\) | 14.8929 | + | 14.9205i | 1.02771 | + | 1.02961i | ||||
\(211\) | −17.7962 | − | 19.7647i | −1.22514 | − | 1.36065i | −0.911599 | − | 0.411080i | \(-0.865152\pi\) |
−0.313540 | − | 0.949575i | \(-0.601515\pi\) | |||||||
\(212\) | −17.2689 | − | 3.67062i | −1.18603 | − | 0.252099i | ||||
\(213\) | −2.71035 | + | 7.69840i | −0.185710 | + | 0.527486i | ||||
\(214\) | 28.9436 | − | 6.15215i | 1.97854 | − | 0.420552i | ||||
\(215\) | −1.32826 | + | 0.389478i | −0.0905863 | + | 0.0265622i | ||||
\(216\) | 41.6374 | + | 3.04777i | 2.83307 | + | 0.207374i | ||||
\(217\) | 5.33890 | − | 3.87893i | 0.362428 | − | 0.263319i | ||||
\(218\) | −12.2780 | − | 21.2661i | −0.831570 | − | 1.44032i | ||||
\(219\) | 14.3034 | + | 0.348439i | 0.966531 | + | 0.0235453i | ||||
\(220\) | 24.5414 | + | 59.7121i | 1.65458 | + | 4.02579i | ||||
\(221\) | −0.0583594 | + | 0.0259833i | −0.00392568 | + | 0.00174782i | ||||
\(222\) | 14.0809 | − | 14.8924i | 0.945045 | − | 0.999515i | ||||
\(223\) | 16.7193 | − | 3.55379i | 1.11960 | − | 0.237979i | 0.389306 | − | 0.921108i | \(-0.372715\pi\) |
0.730298 | + | 0.683129i | \(0.239381\pi\) | |||||||
\(224\) | −28.2083 | −1.88475 | ||||||||
\(225\) | 14.9207 | − | 1.54032i | 0.994714 | − | 0.102688i | ||||
\(226\) | −23.1776 | −1.54175 | ||||||||
\(227\) | 12.0554 | − | 2.56245i | 0.800145 | − | 0.170076i | 0.210347 | − | 0.977627i | \(-0.432541\pi\) |
0.589798 | + | 0.807551i | \(0.299207\pi\) | |||||||
\(228\) | −55.5253 | − | 13.2234i | −3.67725 | − | 0.875739i | ||||
\(229\) | 18.7663 | − | 8.35530i | 1.24011 | − | 0.552134i | 0.321356 | − | 0.946958i | \(-0.395861\pi\) |
0.918757 | + | 0.394824i | \(0.129195\pi\) | |||||||
\(230\) | −18.2052 | + | 15.4624i | −1.20042 | + | 1.01956i | ||||
\(231\) | −10.6315 | + | 17.4203i | −0.699504 | + | 1.14617i | ||||
\(232\) | −13.1852 | − | 22.8374i | −0.865648 | − | 1.49935i | ||||
\(233\) | −6.68678 | + | 4.85823i | −0.438065 | + | 0.318273i | −0.784866 | − | 0.619666i | \(-0.787268\pi\) |
0.346800 | + | 0.937939i | \(0.387268\pi\) | |||||||
\(234\) | 13.8990 | − | 9.09838i | 0.908606 | − | 0.594780i | ||||
\(235\) | 5.46394 | + | 1.95181i | 0.356428 | + | 0.127322i | ||||
\(236\) | 39.9737 | − | 8.49667i | 2.60207 | − | 0.553086i | ||||
\(237\) | −20.4479 | + | 3.82838i | −1.32823 | + | 0.248680i | ||||
\(238\) | 0.162861 | + | 0.0346171i | 0.0105567 | + | 0.00224389i | ||||
\(239\) | −12.0829 | − | 13.4195i | −0.781580 | − | 0.868032i | 0.212447 | − | 0.977173i | \(-0.431857\pi\) |
−0.994026 | + | 0.109141i | \(0.965190\pi\) | |||||||
\(240\) | −27.4340 | + | 33.8141i | −1.77086 | + | 2.18269i | ||||
\(241\) | 8.67315 | − | 9.63251i | 0.558687 | − | 0.620484i | −0.395945 | − | 0.918274i | \(-0.629583\pi\) |
0.954631 | + | 0.297790i | \(0.0962495\pi\) | |||||||
\(242\) | −47.0690 | + | 34.1976i | −3.02571 | + | 2.19831i | ||||
\(243\) | 15.4730 | + | 1.89366i | 0.992594 | + | 0.121478i | ||||
\(244\) | 33.5627 | − | 24.3848i | 2.14863 | − | 1.56107i | ||||
\(245\) | 4.50648 | + | 4.30010i | 0.287908 | + | 0.274723i | ||||
\(246\) | 2.53261 | + | 8.49303i | 0.161473 | + | 0.541496i | ||||
\(247\) | −12.4988 | + | 5.56484i | −0.795282 | + | 0.354082i | ||||
\(248\) | 17.2823 | + | 19.1939i | 1.09743 | + | 1.21882i | ||||
\(249\) | −2.93516 | + | 22.6134i | −0.186008 | + | 1.43307i | ||||
\(250\) | −14.3594 | + | 25.9343i | −0.908167 | + | 1.64023i | ||||
\(251\) | −8.02701 | −0.506661 | −0.253330 | − | 0.967380i | \(-0.581526\pi\) | ||||
−0.253330 | + | 0.967380i | \(0.581526\pi\) | |||||||
\(252\) | −30.9428 | − | 1.50847i | −1.94921 | − | 0.0950247i | ||||
\(253\) | −18.7069 | − | 13.5914i | −1.17609 | − | 0.854481i | ||||
\(254\) | 0.368782 | − | 3.50872i | 0.0231394 | − | 0.220157i | ||||
\(255\) | 0.0921372 | − | 0.0744702i | 0.00576985 | − | 0.00466350i | ||||
\(256\) | 0.282957 | + | 2.69215i | 0.0176848 | + | 0.168260i | ||||
\(257\) | 6.92454 | − | 11.9937i | 0.431941 | − | 0.748144i | −0.565100 | − | 0.825023i | \(-0.691162\pi\) |
0.997040 | + | 0.0768792i | \(0.0244956\pi\) | |||||||
\(258\) | 1.48096 | − | 2.42663i | 0.0922005 | − | 0.151075i | ||||
\(259\) | −6.13033 | + | 6.80842i | −0.380920 | + | 0.423055i | ||||
\(260\) | −0.679467 | + | 23.4807i | −0.0421388 | + | 1.45621i | ||||
\(261\) | −4.50212 | − | 8.75678i | −0.278674 | − | 0.542031i | ||||
\(262\) | −13.9397 | − | 42.9021i | −0.861200 | − | 2.65050i | ||||
\(263\) | −10.4760 | + | 11.6348i | −0.645979 | + | 0.717432i | −0.973825 | − | 0.227299i | \(-0.927011\pi\) |
0.327846 | + | 0.944731i | \(0.393677\pi\) | |||||||
\(264\) | −72.1553 | − | 34.2549i | −4.44085 | − | 2.10824i | ||||
\(265\) | 5.98162 | − | 5.08042i | 0.367448 | − | 0.312087i | ||||
\(266\) | 34.8799 | + | 7.41395i | 2.13862 | + | 0.454579i | ||||
\(267\) | 11.2014 | + | 0.272873i | 0.685513 | + | 0.0166996i | ||||
\(268\) | 1.77007 | + | 3.06586i | 0.108124 | + | 0.187277i | ||||
\(269\) | −5.63335 | + | 4.09287i | −0.343472 | + | 0.249547i | −0.746125 | − | 0.665806i | \(-0.768088\pi\) |
0.402654 | + | 0.915352i | \(0.368088\pi\) | |||||||
\(270\) | −20.5516 | + | 22.9502i | −1.25073 | + | 1.39671i | ||||
\(271\) | 14.6785 | + | 10.6646i | 0.891658 | + | 0.647828i | 0.936310 | − | 0.351175i | \(-0.114218\pi\) |
−0.0446517 | + | 0.999003i | \(0.514218\pi\) | |||||||
\(272\) | −0.0359478 | + | 0.342020i | −0.00217965 | + | 0.0207380i | ||||
\(273\) | −6.11214 | + | 4.21719i | −0.369923 | + | 0.255236i | ||||
\(274\) | −6.59358 | + | 11.4204i | −0.398333 | + | 0.689933i | ||||
\(275\) | −27.6788 | − | 7.57987i | −1.66909 | − | 0.457083i | ||||
\(276\) | 4.51805 | − | 34.8085i | 0.271954 | − | 2.09522i | ||||
\(277\) | 15.3604 | − | 3.26495i | 0.922916 | − | 0.196172i | 0.278138 | − | 0.960541i | \(-0.410283\pi\) |
0.644779 | + | 0.764369i | \(0.276950\pi\) | |||||||
\(278\) | 28.4090 | + | 20.6404i | 1.70386 | + | 1.23793i | ||||
\(279\) | 6.09636 | + | 7.47247i | 0.364980 | + | 0.447365i | ||||
\(280\) | 22.5326 | − | 29.1985i | 1.34658 | − | 1.74494i | ||||
\(281\) | −17.6073 | − | 7.83927i | −1.05036 | − | 0.467651i | −0.192375 | − | 0.981322i | \(-0.561619\pi\) |
−0.857988 | + | 0.513670i | \(0.828286\pi\) | |||||||
\(282\) | −11.0010 | + | 4.58028i | −0.655099 | + | 0.272752i | ||||
\(283\) | −0.661298 | − | 6.29183i | −0.0393101 | − | 0.374010i | −0.996437 | − | 0.0843413i | \(-0.973121\pi\) |
0.957127 | − | 0.289669i | \(-0.0935453\pi\) | |||||||
\(284\) | 23.1850 | + | 4.92812i | 1.37578 | + | 0.292430i | ||||
\(285\) | 19.7330 | − | 15.9493i | 1.16888 | − | 0.944754i | ||||
\(286\) | −31.0877 | + | 6.60790i | −1.83825 | + | 0.390733i | ||||
\(287\) | −1.22423 | − | 3.76779i | −0.0722640 | − | 0.222406i | ||||
\(288\) | −2.30758 | − | 41.1578i | −0.135976 | − | 2.42525i | ||||
\(289\) | −5.25300 | + | 16.1671i | −0.309000 | + | 0.951004i | ||||
\(290\) | 19.2856 | + | 2.59296i | 1.13249 | + | 0.152264i | ||||
\(291\) | 17.3986 | − | 3.25749i | 1.01993 | − | 0.190957i | ||||
\(292\) | −4.34340 | − | 41.3247i | −0.254178 | − | 2.41834i | ||||
\(293\) | 11.3054 | − | 19.5815i | 0.660467 | − | 1.14396i | −0.320026 | − | 0.947409i | \(-0.603691\pi\) |
0.980493 | − | 0.196554i | \(-0.0629752\pi\) | |||||||
\(294\) | −12.7892 | − | 0.311553i | −0.745881 | − | 0.0181702i | ||||
\(295\) | −7.86584 | + | 16.3751i | −0.457967 | + | 0.953393i | ||||
\(296\) | −29.0086 | − | 21.0760i | −1.68609 | − | 1.22502i | ||||
\(297\) | −26.2871 | − | 14.0870i | −1.52533 | − | 0.817412i | ||||
\(298\) | −11.6708 | + | 35.9191i | −0.676072 | + | 2.08074i | ||||
\(299\) | −4.20681 | − | 7.28640i | −0.243286 | − | 0.421384i | ||||
\(300\) | −10.0139 | − | 42.3966i | −0.578153 | − | 2.44777i | ||||
\(301\) | −0.635394 | + | 1.10053i | −0.0366235 | + | 0.0634338i | ||||
\(302\) | −33.6021 | − | 37.3189i | −1.93358 | − | 2.14746i | ||||
\(303\) | 2.54468 | − | 2.69134i | 0.146188 | − | 0.154614i | ||||
\(304\) | −7.69894 | + | 73.2505i | −0.441564 | + | 4.20121i | ||||
\(305\) | −0.533423 | + | 18.4338i | −0.0305437 | + | 1.05551i | ||||
\(306\) | −0.0371858 | + | 0.240456i | −0.00212577 | + | 0.0137460i | ||||
\(307\) | 1.98814 | 0.113469 | 0.0567346 | − | 0.998389i | \(-0.481931\pi\) | ||||
0.0567346 | + | 0.998389i | \(0.481931\pi\) | |||||||
\(308\) | 54.1458 | + | 24.1072i | 3.08524 | + | 1.37364i | ||||
\(309\) | −1.36143 | − | 1.58815i | −0.0774489 | − | 0.0903468i | ||||
\(310\) | −19.0042 | + | 1.44310i | −1.07937 | + | 0.0819628i | ||||
\(311\) | 5.89093 | + | 6.54254i | 0.334044 | + | 0.370993i | 0.886644 | − | 0.462454i | \(-0.153031\pi\) |
−0.552600 | + | 0.833447i | \(0.686364\pi\) | |||||||
\(312\) | −18.9152 | − | 22.0653i | −1.07086 | − | 1.24920i | ||||
\(313\) | 21.9681 | − | 24.3980i | 1.24171 | − | 1.37906i | 0.343699 | − | 0.939080i | \(-0.388320\pi\) |
0.898009 | − | 0.439977i | \(-0.145013\pi\) | |||||||
\(314\) | −7.78014 | + | 23.9448i | −0.439059 | + | 1.35128i | ||||
\(315\) | 8.93426 | − | 10.4797i | 0.503388 | − | 0.590466i | ||||
\(316\) | 18.6698 | + | 57.4598i | 1.05026 | + | 3.23237i | ||||
\(317\) | 14.2770 | + | 6.35653i | 0.801876 | + | 0.357018i | 0.766409 | − | 0.642353i | \(-0.222042\pi\) |
0.0354668 | + | 0.999371i | \(0.488708\pi\) | |||||||
\(318\) | −2.07470 | + | 15.9841i | −0.116343 | + | 0.896347i | ||||
\(319\) | 1.96910 | + | 18.7347i | 0.110249 | + | 1.04894i | ||||
\(320\) | 26.5469 | + | 16.3685i | 1.48402 | + | 0.915029i | ||||
\(321\) | −5.52371 | − | 18.5236i | −0.308303 | − | 1.03389i | ||||
\(322\) | −2.29218 | + | 21.8086i | −0.127738 | + | 1.21535i | ||||
\(323\) | 0.0619248 | − | 0.190585i | 0.00344559 | − | 0.0106044i | ||||
\(324\) | −0.330319 | − | 45.2710i | −0.0183511 | − | 2.51505i | ||||
\(325\) | −8.07880 | − | 6.61596i | −0.448131 | − | 0.366988i | ||||
\(326\) | 12.5284 | + | 21.6999i | 0.693885 | + | 1.20184i | ||||
\(327\) | −13.2032 | + | 9.10984i | −0.730141 | + | 0.503776i | ||||
\(328\) | 14.1647 | − | 6.30653i | 0.782115 | − | 0.348220i | ||||
\(329\) | 4.86625 | − | 2.16660i | 0.268285 | − | 0.119448i | ||||
\(330\) | 52.5408 | − | 26.7097i | 2.89227 | − | 1.47032i | ||||
\(331\) | −19.7512 | − | 8.79380i | −1.08562 | − | 0.483351i | −0.215662 | − | 0.976468i | \(-0.569191\pi\) |
−0.869963 | + | 0.493117i | \(0.835857\pi\) | |||||||
\(332\) | 66.2251 | 3.63457 | ||||||||
\(333\) | −10.4354 | − | 8.38758i | −0.571857 | − | 0.459637i | ||||
\(334\) | −12.1733 | − | 37.4657i | −0.666095 | − | 2.05003i | ||||
\(335\) | −1.55965 | − | 0.209696i | −0.0852128 | − | 0.0114569i | ||||
\(336\) | 3.20919 | + | 39.8472i | 0.175076 | + | 2.17384i | ||||
\(337\) | −13.9270 | − | 2.96027i | −0.758651 | − | 0.161256i | −0.187684 | − | 0.982229i | \(-0.560098\pi\) |
−0.570967 | + | 0.820973i | \(0.693431\pi\) | |||||||
\(338\) | 22.4041 | + | 4.76213i | 1.21862 | + | 0.259026i | ||||
\(339\) | 1.21545 | + | 15.0918i | 0.0660143 | + | 0.819673i | ||||
\(340\) | −0.248921 | − | 0.237521i | −0.0134996 | − | 0.0128814i | ||||
\(341\) | −5.70153 | − | 17.5475i | −0.308755 | − | 0.950250i | ||||
\(342\) | −7.96409 | + | 51.4985i | −0.430648 | + | 2.78472i | ||||
\(343\) | 20.0888 | 1.08470 | ||||||||
\(344\) | −4.54360 | − | 2.02294i | −0.244974 | − | 0.109070i | ||||
\(345\) | 11.0228 | + | 11.0432i | 0.593448 | + | 0.594547i | ||||
\(346\) | 16.0842 | − | 7.16113i | 0.864690 | − | 0.384985i | ||||
\(347\) | 17.3445 | − | 7.72226i | 0.931100 | − | 0.414553i | 0.115591 | − | 0.993297i | \(-0.463124\pi\) |
0.815509 | + | 0.578744i | \(0.196457\pi\) | |||||||
\(348\) | −23.5370 | + | 16.2398i | −1.26171 | + | 0.870545i | ||||
\(349\) | −1.26140 | − | 2.18481i | −0.0675211 | − | 0.116950i | 0.830288 | − | 0.557334i | \(-0.188176\pi\) |
−0.897810 | + | 0.440384i | \(0.854842\pi\) | |||||||
\(350\) | 6.89930 | + | 26.3267i | 0.368783 | + | 1.40722i | ||||
\(351\) | −6.65316 | − | 8.57301i | −0.355119 | − | 0.457594i | ||||
\(352\) | −24.3711 | + | 75.0065i | −1.29898 | + | 3.99786i | ||||
\(353\) | −0.463649 | + | 4.41132i | −0.0246775 | + | 0.234791i | 0.975230 | + | 0.221193i | \(0.0709951\pi\) |
−0.999908 | + | 0.0135978i | \(0.995672\pi\) | |||||||
\(354\) | −10.6619 | − | 35.7543i | −0.566673 | − | 1.90032i | ||||
\(355\) | −8.03085 | + | 6.82090i | −0.426233 | + | 0.362016i | ||||
\(356\) | −3.40144 | − | 32.3625i | −0.180276 | − | 1.71521i | ||||
\(357\) | 0.0139999 | − | 0.107860i | 0.000740954 | − | 0.00570855i | ||||
\(358\) | 11.8291 | + | 5.26665i | 0.625187 | + | 0.278351i | ||||
\(359\) | −10.5484 | − | 32.4646i | −0.556722 | − | 1.71341i | −0.691352 | − | 0.722518i | \(-0.742985\pi\) |
0.134630 | − | 0.990896i | \(-0.457015\pi\) | |||||||
\(360\) | 44.4457 | + | 30.4879i | 2.34250 | + | 1.60685i | ||||
\(361\) | 7.39111 | − | 22.7475i | 0.389006 | − | 1.19724i | ||||
\(362\) | −18.8248 | + | 20.9071i | −0.989412 | + | 1.09885i | ||||
\(363\) | 24.7356 | + | 28.8550i | 1.29828 | + | 1.51449i | ||||
\(364\) | 14.4306 | + | 16.0268i | 0.756368 | + | 0.840032i | ||||
\(365\) | 15.7226 | + | 9.69435i | 0.822956 | + | 0.507425i | ||||
\(366\) | −24.6506 | − | 28.7557i | −1.28851 | − | 1.50309i | ||||
\(367\) | 9.93344 | + | 4.42265i | 0.518521 | + | 0.230861i | 0.649274 | − | 0.760554i | \(-0.275073\pi\) |
−0.130753 | + | 0.991415i | \(0.541739\pi\) | |||||||
\(368\) | −45.2939 | −2.36111 | ||||||||
\(369\) | 5.39730 | − | 2.09445i | 0.280972 | − | 0.109033i | ||||
\(370\) | 25.3902 | − | 7.44506i | 1.31997 | − | 0.387050i | ||||
\(371\) | 0.753133 | − | 7.16558i | 0.0391007 | − | 0.372018i | ||||
\(372\) | 19.2422 | − | 20.3512i | 0.997659 | − | 1.05516i | ||||
\(373\) | −16.2843 | − | 18.0855i | −0.843168 | − | 0.936433i | 0.155510 | − | 0.987834i | \(-0.450298\pi\) |
−0.998678 | + | 0.0514011i | \(0.983631\pi\) | |||||||
\(374\) | 0.232754 | − | 0.403141i | 0.0120354 | − | 0.0208459i | ||||
\(375\) | 17.6398 | + | 7.98990i | 0.910914 | + | 0.412597i | ||||
\(376\) | 10.4239 | + | 18.0548i | 0.537573 | + | 0.931104i | ||||
\(377\) | −2.11814 | + | 6.51896i | −0.109090 | + | 0.335744i | ||||
\(378\) | 0.895084 | + | 28.2693i | 0.0460382 | + | 1.45401i | ||||
\(379\) | −4.12810 | − | 2.99924i | −0.212046 | − | 0.154061i | 0.476693 | − | 0.879070i | \(-0.341835\pi\) |
−0.688739 | + | 0.725009i | \(0.741835\pi\) | |||||||
\(380\) | −53.3114 | − | 50.8699i | −2.73482 | − | 2.60957i | ||||
\(381\) | −2.30399 | − | 0.0561268i | −0.118037 | − | 0.00287546i | ||||
\(382\) | 31.6759 | − | 54.8643i | 1.62068 | − | 2.80710i | ||||
\(383\) | 2.14547 | + | 20.4128i | 0.109628 | + | 1.04304i | 0.901625 | + | 0.432518i | \(0.142375\pi\) |
−0.791997 | + | 0.610525i | \(0.790958\pi\) | |||||||
\(384\) | −16.1729 | + | 3.02800i | −0.825322 | + | 0.154522i | ||||
\(385\) | −23.1886 | + | 12.5080i | −1.18180 | + | 0.637466i | ||||
\(386\) | 21.0179 | − | 64.6866i | 1.06979 | − | 3.29246i | ||||
\(387\) | −1.65773 | − | 0.837051i | −0.0842671 | − | 0.0425497i | ||||
\(388\) | −15.8857 | − | 48.8913i | −0.806476 | − | 2.48208i | ||||
\(389\) | 11.6762 | − | 2.48186i | 0.592008 | − | 0.125835i | 0.0978410 | − | 0.995202i | \(-0.468806\pi\) |
0.494167 | + | 0.869367i | \(0.335473\pi\) | |||||||
\(390\) | 21.4178 | − | 1.10259i | 1.08453 | − | 0.0558319i | ||||
\(391\) | 0.120540 | + | 0.0256215i | 0.00609595 | + | 0.00129573i | ||||
\(392\) | 2.33950 | + | 22.2589i | 0.118163 | + | 1.12424i | ||||
\(393\) | −27.2041 | + | 11.3265i | −1.37226 | + | 0.571346i | ||||
\(394\) | −37.2343 | − | 16.5778i | −1.87584 | − | 0.835177i | ||||
\(395\) | −25.2916 | − | 9.03455i | −1.27256 | − | 0.454577i | ||||
\(396\) | −30.7446 | + | 80.9742i | −1.54498 | + | 4.06911i | ||||
\(397\) | −11.3426 | − | 8.24087i | −0.569268 | − | 0.413597i | 0.265571 | − | 0.964091i | \(-0.414439\pi\) |
−0.834839 | + | 0.550494i | \(0.814439\pi\) | |||||||
\(398\) | 8.27853 | − | 1.75966i | 0.414965 | − | 0.0882036i | ||||
\(399\) | 2.99836 | − | 23.1004i | 0.150106 | − | 1.15646i | ||||
\(400\) | −52.5904 | + | 19.8565i | −2.62952 | + | 0.992825i | ||||
\(401\) | −0.970609 | + | 1.68114i | −0.0484699 | + | 0.0839523i | −0.889242 | − | 0.457436i | \(-0.848768\pi\) |
0.840773 | + | 0.541388i | \(0.182101\pi\) | |||||||
\(402\) | 2.66028 | − | 1.83551i | 0.132682 | − | 0.0915469i | ||||
\(403\) | 0.701749 | − | 6.67670i | 0.0349566 | − | 0.332590i | ||||
\(404\) | −8.70247 | − | 6.32271i | −0.432964 | − | 0.314567i | ||||
\(405\) | 16.0215 | + | 12.1784i | 0.796113 | + | 0.605148i | ||||
\(406\) | 14.4531 | − | 10.5008i | 0.717296 | − | 0.521146i | ||||
\(407\) | 12.8073 | + | 22.1829i | 0.634835 | + | 1.09957i | ||||
\(408\) | 0.425555 | + | 0.0103668i | 0.0210681 | + | 0.000513233i | ||||
\(409\) | −10.7137 | − | 2.27726i | −0.529757 | − | 0.112603i | −0.0647348 | − | 0.997903i | \(-0.520620\pi\) |
−0.465022 | + | 0.885299i | \(0.653953\pi\) | |||||||
\(410\) | −2.70156 | + | 11.1180i | −0.133420 | + | 0.549081i | ||||
\(411\) | 7.78202 | + | 3.69442i | 0.383859 | + | 0.182232i | ||||
\(412\) | −4.06502 | + | 4.51467i | −0.200269 | + | 0.222422i | ||||
\(413\) | 5.15382 | + | 15.8618i | 0.253603 | + | 0.780509i | ||||
\(414\) | −32.0077 | − | 1.56038i | −1.57309 | − | 0.0766887i | ||||
\(415\) | −17.9853 | + | 23.3059i | −0.882863 | + | 1.14404i | ||||
\(416\) | −19.2018 | + | 21.3258i | −0.941446 | + | 1.04558i | ||||
\(417\) | 11.9499 | − | 19.5805i | 0.585188 | − | 0.958862i | ||||
\(418\) | 49.8489 | − | 86.3409i | 2.43819 | − | 4.22307i | ||||
\(419\) | −1.73963 | − | 16.5515i | −0.0849865 | − | 0.808593i | −0.951129 | − | 0.308795i | \(-0.900074\pi\) |
0.866142 | − | 0.499798i | \(-0.166592\pi\) | |||||||
\(420\) | −33.5220 | − | 21.8136i | −1.63571 | − | 1.06439i | ||||
\(421\) | −0.804767 | + | 7.65685i | −0.0392220 | + | 0.373172i | 0.957251 | + | 0.289258i | \(0.0934087\pi\) |
−0.996473 | + | 0.0839137i | \(0.973258\pi\) | |||||||
\(422\) | 57.0504 | + | 41.4495i | 2.77717 | + | 2.01773i | ||||
\(423\) | 3.55928 | + | 6.92294i | 0.173058 | + | 0.336605i | ||||
\(424\) | 28.1990 | 1.36946 | ||||||||
\(425\) | 0.151190 | − | 0.0230947i | 0.00733379 | − | 0.00112026i | ||||
\(426\) | 2.78546 | − | 21.4601i | 0.134956 | − | 1.03975i | ||||
\(427\) | 11.3289 | + | 12.5820i | 0.548243 | + | 0.608886i | ||||
\(428\) | −51.2840 | + | 22.8331i | −2.47890 | + | 1.10368i | ||||
\(429\) | 5.93290 | + | 19.8958i | 0.286443 | + | 0.960578i | ||||
\(430\) | 3.23015 | − | 1.74235i | 0.155772 | − | 0.0840234i | ||||
\(431\) | −26.1475 | + | 18.9973i | −1.25948 | + | 0.915066i | −0.998732 | − | 0.0503406i | \(-0.983969\pi\) |
−0.260748 | + | 0.965407i | \(0.583969\pi\) | |||||||
\(432\) | −57.8771 | + | 7.94211i | −2.78461 | + | 0.382115i | ||||
\(433\) | −25.4573 | + | 18.4958i | −1.22340 | + | 0.888852i | −0.996378 | − | 0.0850377i | \(-0.972899\pi\) |
−0.227022 | + | 0.973890i | \(0.572899\pi\) | |||||||
\(434\) | −11.7082 | + | 13.0033i | −0.562011 | + | 0.624177i | ||||
\(435\) | 0.677016 | − | 12.6935i | 0.0324604 | − | 0.608608i | ||||
\(436\) | 31.1725 | + | 34.6206i | 1.49289 | + | 1.65802i | ||||
\(437\) | 25.8160 | + | 5.48736i | 1.23495 | + | 0.262496i | ||||
\(438\) | −37.2881 | + | 6.98132i | −1.78170 | + | 0.333580i | ||||
\(439\) | 17.7158 | − | 3.76561i | 0.845530 | − | 0.179723i | 0.235276 | − | 0.971929i | \(-0.424401\pi\) |
0.610254 | + | 0.792206i | \(0.291067\pi\) | |||||||
\(440\) | −58.1719 | − | 85.1411i | −2.77324 | − | 4.05894i | ||||
\(441\) | 0.467812 | + | 8.34384i | 0.0222767 | + | 0.397326i | ||||
\(442\) | 0.137032 | − | 0.0995598i | 0.00651797 | − | 0.00473558i | ||||
\(443\) | −19.3559 | − | 33.5254i | −0.919626 | − | 1.59284i | −0.799984 | − | 0.600022i | \(-0.795159\pi\) |
−0.119642 | − | 0.992817i | \(-0.538175\pi\) | |||||||
\(444\) | −20.2557 | + | 33.1900i | −0.961292 | + | 1.57513i | ||||
\(445\) | 12.3128 | + | 7.59193i | 0.583682 | + | 0.359892i | ||||
\(446\) | −41.4026 | + | 18.4336i | −1.96047 | + | 0.872858i | ||||
\(447\) | 24.0002 | + | 5.71566i | 1.13517 | + | 0.270342i | ||||
\(448\) | 28.0070 | − | 5.95308i | 1.32321 | − | 0.281256i | ||||
\(449\) | −4.76841 | −0.225035 | −0.112518 | − | 0.993650i | \(-0.535891\pi\) | ||||
−0.112518 | + | 0.993650i | \(0.535891\pi\) | |||||||
\(450\) | −37.8480 | + | 12.2202i | −1.78417 | + | 0.576065i | ||||
\(451\) | −11.0763 | −0.521564 | ||||||||
\(452\) | 43.0107 | − | 9.14221i | 2.02305 | − | 0.430014i | ||||
\(453\) | −22.5375 | + | 23.8365i | −1.05891 | + | 1.11994i | ||||
\(454\) | −29.8533 | + | 13.2915i | −1.40109 | + | 0.623803i | ||||
\(455\) | −9.55918 | + | 0.725886i | −0.448141 | + | 0.0340301i | ||||
\(456\) | 91.1411 | + | 2.22026i | 4.26807 | + | 0.103973i | ||||
\(457\) | 2.37786 | + | 4.11857i | 0.111232 | + | 0.192659i | 0.916267 | − | 0.400568i | \(-0.131187\pi\) |
−0.805035 | + | 0.593227i | \(0.797854\pi\) | |||||||
\(458\) | −44.0648 | + | 32.0149i | −2.05901 | + | 1.49596i | ||||
\(459\) | 0.158520 | + | 0.0116033i | 0.00739906 | + | 0.000541595i | ||||
\(460\) | 27.6845 | − | 35.8744i | 1.29079 | − | 1.67265i | ||||
\(461\) | −8.66085 | + | 1.84092i | −0.403376 | + | 0.0857402i | −0.405132 | − | 0.914258i | \(-0.632774\pi\) |
0.00175591 | + | 0.999998i | \(0.499441\pi\) | |||||||
\(462\) | 17.9698 | − | 51.0408i | 0.836030 | − | 2.37463i | ||||
\(463\) | −1.51448 | − | 0.321912i | −0.0703838 | − | 0.0149605i | 0.172585 | − | 0.984995i | \(-0.444788\pi\) |
−0.242969 | + | 0.970034i | \(0.578121\pi\) | |||||||
\(464\) | 24.6911 | + | 27.4222i | 1.14625 | + | 1.27304i | ||||
\(465\) | 1.93625 | + | 12.2986i | 0.0897916 | + | 0.570336i | ||||
\(466\) | 14.6641 | − | 16.2861i | 0.679301 | − | 0.754440i | ||||
\(467\) | 27.9575 | − | 20.3123i | 1.29372 | − | 0.939942i | 0.293846 | − | 0.955853i | \(-0.405065\pi\) |
0.999873 | + | 0.0159111i | \(0.00506487\pi\) | |||||||
\(468\) | −22.2036 | + | 22.3662i | −1.02636 | + | 1.03388i | ||||
\(469\) | −1.16884 | + | 0.849213i | −0.0539721 | + | 0.0392130i | ||||
\(470\) | −15.2468 | − | 2.04994i | −0.703283 | − | 0.0945567i | ||||
\(471\) | 15.9993 | + | 3.81024i | 0.737210 | + | 0.175567i | ||||
\(472\) | −59.6312 | + | 26.5495i | −2.74475 | + | 1.22204i | ||||
\(473\) | 2.37738 | + | 2.64035i | 0.109312 | + | 0.121403i | ||||
\(474\) | 50.9215 | − | 21.2013i | 2.33890 | − | 0.973807i | ||||
\(475\) | 32.3804 | − | 4.94619i | 1.48571 | − | 0.226947i | ||||
\(476\) | −0.315875 | −0.0144781 | ||||||||
\(477\) | 10.5167 | + | 0.512689i | 0.481524 | + | 0.0234744i | ||||
\(478\) | 38.7350 | + | 28.1427i | 1.77170 | + | 1.28722i | ||||
\(479\) | 2.55709 | − | 24.3290i | 0.116836 | − | 1.11162i | −0.766293 | − | 0.642492i | \(-0.777901\pi\) |
0.883129 | − | 0.469131i | \(-0.155433\pi\) | |||||||
\(480\) | 24.2043 | − | 47.3951i | 1.10477 | − | 2.16328i | ||||
\(481\) | 0.974229 | + | 9.26917i | 0.0444210 | + | 0.422638i | ||||
\(482\) | −17.1839 | + | 29.7633i | −0.782704 | + | 1.35568i | ||||
\(483\) | 14.3206 | + | 0.348859i | 0.651609 | + | 0.0158736i | ||||
\(484\) | 73.8570 | − | 82.0265i | 3.35714 | − | 3.72848i | ||||
\(485\) | 21.5200 | + | 7.68730i | 0.977175 | + | 0.349062i | ||||
\(486\) | −41.1735 | + | 3.61855i | −1.86767 | + | 0.164141i | ||||
\(487\) | 1.67643 | + | 5.15952i | 0.0759663 | + | 0.233800i | 0.981828 | − | 0.189774i | \(-0.0607754\pi\) |
−0.905862 | + | 0.423574i | \(0.860775\pi\) | |||||||
\(488\) | −44.3388 | + | 49.2432i | −2.00712 | + | 2.22914i | ||||
\(489\) | 13.4726 | − | 9.29566i | 0.609250 | − | 0.420364i | ||||
\(490\) | −14.0582 | − | 8.66810i | −0.635083 | − | 0.391585i | ||||
\(491\) | −21.5355 | − | 4.57751i | −0.971883 | − | 0.206580i | −0.305502 | − | 0.952191i | \(-0.598824\pi\) |
−0.666381 | + | 0.745611i | \(0.732158\pi\) | |||||||
\(492\) | −8.04977 | − | 14.7616i | −0.362912 | − | 0.665502i | ||||
\(493\) | −0.0501978 | − | 0.0869451i | −0.00226080 | − | 0.00391581i | ||||
\(494\) | 29.3482 | − | 21.3227i | 1.32044 | − | 0.959356i | ||||
\(495\) | −20.1469 | − | 32.8105i | −0.905535 | − | 1.47472i | ||||
\(496\) | −29.2390 | − | 21.2433i | −1.31287 | − | 0.953854i | ||||
\(497\) | −1.01115 | + | 9.62041i | −0.0453561 | + | 0.431534i | ||||
\(498\) | −4.85370 | − | 60.2664i | −0.217499 | − | 2.70060i | ||||
\(499\) | −20.3177 | + | 35.1912i | −0.909544 | + | 1.57538i | −0.0948451 | + | 0.995492i | \(0.530236\pi\) |
−0.814699 | + | 0.579884i | \(0.803098\pi\) | |||||||
\(500\) | 16.4172 | − | 53.7902i | 0.734198 | − | 2.40557i | ||||
\(501\) | −23.7569 | + | 9.89122i | −1.06138 | + | 0.441907i | ||||
\(502\) | 20.8182 | − | 4.42505i | 0.929162 | − | 0.197500i | ||||
\(503\) | 32.8363 | + | 23.8569i | 1.46410 | + | 1.06373i | 0.982272 | + | 0.187461i | \(0.0600258\pi\) |
0.481825 | + | 0.876268i | \(0.339974\pi\) | |||||||
\(504\) | 48.8444 | − | 7.91896i | 2.17570 | − | 0.352739i | ||||
\(505\) | 4.58849 | − | 1.34546i | 0.204185 | − | 0.0598723i | ||||
\(506\) | 56.0092 | + | 24.9369i | 2.48991 | + | 1.10858i | ||||
\(507\) | 1.92591 | − | 14.8378i | 0.0855326 | − | 0.658971i | ||||
\(508\) | 0.699637 | + | 6.65660i | 0.0310414 | + | 0.295339i | ||||
\(509\) | 43.4149 | + | 9.22813i | 1.92433 | + | 0.409030i | 0.999596 | + | 0.0284240i | \(0.00904887\pi\) |
0.924737 | + | 0.380606i | \(0.124284\pi\) | |||||||
\(510\) | −0.197906 | + | 0.243932i | −0.00876344 | + | 0.0108015i | ||||
\(511\) | 16.5873 | − | 3.52574i | 0.733779 | − | 0.155970i | ||||
\(512\) | −8.08909 | − | 24.8957i | −0.357491 | − | 1.10024i | ||||
\(513\) | 33.9502 | + | 2.48508i | 1.49894 | + | 0.109719i | ||||
\(514\) | −11.3472 | + | 34.9231i | −0.500503 | + | 1.54039i | ||||
\(515\) | −0.484830 | − | 2.65665i | −0.0213642 | − | 0.117066i | ||||
\(516\) | −1.79105 | + | 5.08725i | −0.0788468 | + | 0.223954i | ||||
\(517\) | −1.55673 | − | 14.8113i | −0.0684650 | − | 0.651401i | ||||
\(518\) | 12.1459 | − | 21.0372i | 0.533658 | − | 0.924323i | ||||
\(519\) | −5.50633 | − | 10.0974i | −0.241701 | − | 0.443228i | ||||
\(520\) | −6.73608 | − | 36.9107i | −0.295397 | − | 1.61864i | ||||
\(521\) | −7.98161 | − | 5.79898i | −0.349681 | − | 0.254058i | 0.399054 | − | 0.916927i | \(-0.369338\pi\) |
−0.748735 | + | 0.662869i | \(0.769338\pi\) | |||||||
\(522\) | 16.5037 | + | 20.2290i | 0.722346 | + | 0.885399i | ||||
\(523\) | −2.46257 | + | 7.57903i | −0.107681 | + | 0.331408i | −0.990350 | − | 0.138587i | \(-0.955744\pi\) |
0.882669 | + | 0.469994i | \(0.155744\pi\) | |||||||
\(524\) | 42.7904 | + | 74.1151i | 1.86931 | + | 3.23773i | ||||
\(525\) | 16.7805 | − | 5.87298i | 0.732360 | − | 0.256318i | ||||
\(526\) | 20.7558 | − | 35.9502i | 0.904998 | − | 1.56750i | ||||
\(527\) | 0.0657962 | + | 0.0730741i | 0.00286613 | + | 0.00318316i | ||||
\(528\) | 108.727 | + | 25.8934i | 4.73174 | + | 1.12687i | ||||
\(529\) | 0.707623 | − | 6.73259i | 0.0307662 | − | 0.292721i | ||||
\(530\) | −12.7128 | + | 16.4736i | −0.552208 | + | 0.715569i | ||||
\(531\) | −22.7218 | + | 8.81732i | −0.986042 | + | 0.382639i | ||||
\(532\) | −67.6511 | −2.93305 | ||||||||
\(533\) | −3.68184 | − | 1.63926i | −0.159478 | − | 0.0710042i | ||||
\(534\) | −29.2014 | + | 5.46728i | −1.26367 | + | 0.236592i | ||||
\(535\) | 5.89218 | − | 24.2488i | 0.254741 | − | 1.04837i | ||||
\(536\) | −3.78360 | − | 4.20212i | −0.163427 | − | 0.181504i | ||||
\(537\) | 2.80898 | − | 7.97853i | 0.121216 | − | 0.344299i | ||||
\(538\) | 12.3539 | − | 13.7204i | 0.532616 | − | 0.591530i | ||||
\(539\) | 4.94071 | − | 15.2059i | 0.212811 | − | 0.654966i | ||||
\(540\) | 29.0851 | − | 50.6952i | 1.25162 | − | 2.18157i | ||||
\(541\) | −3.72498 | − | 11.4643i | −0.160149 | − | 0.492889i | 0.838497 | − | 0.544906i | \(-0.183435\pi\) |
−0.998646 | + | 0.0520177i | \(0.983435\pi\) | |||||||
\(542\) | −43.9481 | − | 19.5670i | −1.88773 | − | 0.840474i | ||||
\(543\) | 14.6006 | + | 11.1611i | 0.626570 | + | 0.478971i | ||||
\(544\) | −0.0439348 | − | 0.418011i | −0.00188369 | − | 0.0179221i | ||||
\(545\) | −20.6494 | + | 1.56804i | −0.884525 | + | 0.0671673i | ||||
\(546\) | 13.5271 | − | 14.3068i | 0.578908 | − | 0.612275i | ||||
\(547\) | −0.130795 | + | 1.24443i | −0.00559239 | + | 0.0532080i | −0.996962 | − | 0.0778871i | \(-0.975183\pi\) |
0.991370 | + | 0.131095i | \(0.0418493\pi\) | |||||||
\(548\) | 7.73103 | − | 23.7937i | 0.330253 | − | 1.01642i | ||||
\(549\) | −17.4312 | + | 17.5588i | −0.743945 | + | 0.749393i | ||||
\(550\) | 75.9640 | + | 4.40007i | 3.23912 | + | 0.187620i | ||||
\(551\) | −10.7509 | − | 18.6211i | −0.458003 | − | 0.793284i | ||||
\(552\) | 4.50070 | + | 55.8834i | 0.191562 | + | 2.37855i | ||||
\(553\) | −22.5250 | + | 10.0288i | −0.957860 | + | 0.426467i | ||||
\(554\) | −38.0376 | + | 16.9354i | −1.61606 | + | 0.719518i | ||||
\(555\) | −6.17923 | − | 16.1421i | −0.262294 | − | 0.685192i | ||||
\(556\) | −60.8600 | − | 27.0966i | −2.58104 | − | 1.14915i | ||||
\(557\) | −44.8687 | −1.90115 | −0.950574 | − | 0.310498i | \(-0.899504\pi\) | ||||
−0.950574 | + | 0.310498i | \(0.899504\pi\) | |||||||
\(558\) | −19.9304 | − | 16.0193i | −0.843720 | − | 0.678150i | ||||
\(559\) | 0.399493 | + | 1.22951i | 0.0168967 | + | 0.0520028i | ||||
\(560\) | −22.3463 | + | 46.5203i | −0.944302 | + | 1.96584i | ||||
\(561\) | −0.274706 | − | 0.130413i | −0.0115981 | − | 0.00550606i | ||||
\(562\) | 49.9864 | + | 10.6249i | 2.10855 | + | 0.448186i | ||||
\(563\) | −38.3393 | − | 8.14927i | −1.61581 | − | 0.343451i | −0.690697 | − | 0.723144i | \(-0.742696\pi\) |
−0.925112 | + | 0.379693i | \(0.876029\pi\) | |||||||
\(564\) | 18.6079 | − | 12.8389i | 0.783533 | − | 0.540614i | ||||
\(565\) | −8.46345 | + | 17.6192i | −0.356060 | + | 0.741244i | ||||
\(566\) | 5.18358 | + | 15.9534i | 0.217882 | + | 0.670573i | ||||
\(567\) | 18.3602 | − | 2.06528i | 0.771056 | − | 0.0867338i | ||||
\(568\) | −37.8596 | −1.58855 | ||||||||
\(569\) | −23.6982 | − | 10.5511i | −0.993480 | − | 0.442326i | −0.155387 | − | 0.987854i | \(-0.549663\pi\) |
−0.838093 | + | 0.545528i | \(0.816329\pi\) | |||||||
\(570\) | −42.3856 | + | 52.2430i | −1.77534 | + | 2.18822i | ||||
\(571\) | 9.92558 | − | 4.41915i | 0.415373 | − | 0.184936i | −0.188400 | − | 0.982092i | \(-0.560330\pi\) |
0.603773 | + | 0.797157i | \(0.293663\pi\) | |||||||
\(572\) | 55.0831 | − | 24.5246i | 2.30314 | − | 1.02542i | ||||
\(573\) | −37.3852 | − | 17.7482i | −1.56179 | − | 0.741442i | ||||
\(574\) | 5.25213 | + | 9.09696i | 0.219220 | + | 0.379700i | ||||
\(575\) | 5.10644 | + | 19.4854i | 0.212953 | + | 0.812599i | ||||
\(576\) | 10.9770 | + | 40.3771i | 0.457376 | + | 1.68238i | ||||
\(577\) | −1.77776 | + | 5.47137i | −0.0740090 | + | 0.227776i | −0.981217 | − | 0.192905i | \(-0.938209\pi\) |
0.907208 | + | 0.420681i | \(0.138209\pi\) | |||||||
\(578\) | 4.71134 | − | 44.8254i | 0.195966 | − | 1.86449i | ||||
\(579\) | −43.2219 | − | 10.2933i | −1.79624 | − | 0.427776i | ||||
\(580\) | −36.8111 | + | 2.79529i | −1.52850 | + | 0.116068i | ||||
\(581\) | 2.82510 | + | 26.8790i | 0.117205 | + | 1.11513i | ||||
\(582\) | −43.3280 | + | 18.0397i | −1.79600 | + | 0.747770i | ||||
\(583\) | −18.4027 | − | 8.19342i | −0.762163 | − | 0.339337i | ||||
\(584\) | 20.5093 | + | 63.1211i | 0.848680 | + | 2.61197i | ||||
\(585\) | −1.84110 | − | 13.8881i | −0.0761202 | − | 0.574201i | ||||
\(586\) | −18.5260 | + | 57.0173i | −0.765304 | + | 2.35536i | ||||
\(587\) | 4.62878 | − | 5.14078i | 0.191050 | − | 0.212183i | −0.640008 | − | 0.768368i | \(-0.721069\pi\) |
0.831058 | + | 0.556186i | \(0.187736\pi\) | |||||||
\(588\) | 23.8558 | − | 4.46644i | 0.983797 | − | 0.184193i | ||||
\(589\) | 14.0916 | + | 15.6503i | 0.580634 | + | 0.644859i | ||||
\(590\) | 11.3731 | − | 46.8052i | 0.468224 | − | 1.92694i | ||||
\(591\) | −8.84180 | + | 25.1140i | −0.363703 | + | 1.03305i | ||||
\(592\) | 45.8367 | + | 20.4078i | 1.88388 | + | 0.838756i | ||||
\(593\) | 18.6586 | 0.766219 | 0.383109 | − | 0.923703i | \(-0.374853\pi\) | ||||
0.383109 | + | 0.923703i | \(0.374853\pi\) | |||||||
\(594\) | 75.9418 | + | 22.0437i | 3.11593 | + | 0.904463i | ||||
\(595\) | 0.0857849 | − | 0.111163i | 0.00351684 | − | 0.00455723i | ||||
\(596\) | 7.48957 | − | 71.2585i | 0.306785 | − | 2.91886i | ||||
\(597\) | −1.57991 | − | 5.29817i | −0.0646613 | − | 0.216840i | ||||
\(598\) | 14.9272 | + | 16.5783i | 0.610419 | + | 0.677939i | ||||
\(599\) | −3.61776 | + | 6.26614i | −0.147818 | + | 0.256027i | −0.930421 | − | 0.366494i | \(-0.880558\pi\) |
0.782603 | + | 0.622521i | \(0.213892\pi\) | |||||||
\(600\) | 29.7246 | + | 62.9127i | 1.21350 | + | 2.56840i | ||||
\(601\) | 3.28224 | + | 5.68501i | 0.133886 | + | 0.231897i | 0.925171 | − | 0.379550i | \(-0.123921\pi\) |
−0.791286 | + | 0.611447i | \(0.790588\pi\) | |||||||
\(602\) | 1.04122 | − | 3.20453i | 0.0424368 | − | 0.130607i | ||||
\(603\) | −1.33467 | − | 1.63595i | −0.0543521 | − | 0.0666208i | ||||
\(604\) | 77.0755 | + | 55.9986i | 3.13616 | + | 2.27855i | ||||
\(605\) | 8.80883 | + | 48.2684i | 0.358130 | + | 1.96239i | ||||
\(606\) | −5.11601 | + | 8.38285i | −0.207824 | + | 0.340530i | ||||
\(607\) | −8.23189 | + | 14.2580i | −0.334122 | + | 0.578716i | −0.983316 | − | 0.181907i | \(-0.941773\pi\) |
0.649194 | + | 0.760623i | \(0.275106\pi\) | |||||||
\(608\) | −9.40952 | − | 89.5256i | −0.381606 | − | 3.63074i | ||||
\(609\) | −7.59538 | − | 8.86027i | −0.307780 | − | 0.359036i | ||||
\(610\) | −8.77853 | − | 48.1024i | −0.355432 | − | 1.94761i | ||||
\(611\) | 1.67456 | − | 5.15376i | 0.0677454 | − | 0.208499i | ||||
\(612\) | −0.0258401 | − | 0.460882i | −0.00104453 | − | 0.0186301i | ||||
\(613\) | 5.27406 | + | 16.2319i | 0.213017 | + | 0.655599i | 0.999288 | + | 0.0377179i | \(0.0120088\pi\) |
−0.786271 | + | 0.617881i | \(0.787991\pi\) | |||||||
\(614\) | −5.15628 | + | 1.09600i | −0.208090 | + | 0.0442310i | ||||
\(615\) | 7.38103 | + | 1.17604i | 0.297632 | + | 0.0474226i | ||||
\(616\) | −92.6003 | − | 19.6828i | −3.73097 | − | 0.793042i | ||||
\(617\) | 0.234760 | + | 2.23359i | 0.00945108 | + | 0.0899210i | 0.998231 | − | 0.0594611i | \(-0.0189382\pi\) |
−0.988780 | + | 0.149382i | \(0.952272\pi\) | |||||||
\(618\) | 4.40639 | + | 3.36839i | 0.177251 | + | 0.135496i | ||||
\(619\) | −9.53950 | − | 4.24726i | −0.383425 | − | 0.170712i | 0.205967 | − | 0.978559i | \(-0.433966\pi\) |
−0.589392 | + | 0.807847i | \(0.700633\pi\) | |||||||
\(620\) | 34.6969 | − | 10.1740i | 1.39346 | − | 0.408599i | ||||
\(621\) | 0.662487 | + | 20.9232i | 0.0265847 | + | 0.839619i | ||||
\(622\) | −18.8849 | − | 13.7207i | −0.757217 | − | 0.550150i | ||||
\(623\) | 12.9900 | − | 2.76111i | 0.520434 | − | 0.110622i | ||||
\(624\) | 32.3094 | + | 24.6984i | 1.29341 | + | 0.988726i | ||||
\(625\) | 14.4713 | + | 20.3858i | 0.578853 | + | 0.815432i | ||||
\(626\) | −43.5247 | + | 75.3870i | −1.73960 | + | 3.01307i | ||||
\(627\) | −58.8338 | − | 27.9306i | −2.34959 | − | 1.11544i | ||||
\(628\) | 4.99279 | − | 47.5032i | 0.199234 | − | 1.89558i | ||||
\(629\) | −0.110440 | − | 0.0802394i | −0.00440353 | − | 0.00319936i | ||||
\(630\) | −17.3940 | + | 32.1046i | −0.692994 | + | 1.27908i | ||||
\(631\) | 3.19101 | − | 2.31840i | 0.127032 | − | 0.0922941i | −0.522455 | − | 0.852667i | \(-0.674984\pi\) |
0.649487 | + | 0.760373i | \(0.274984\pi\) | |||||||
\(632\) | −48.2504 | − | 83.5722i | −1.91930 | − | 3.32432i | ||||
\(633\) | 23.9975 | − | 39.3212i | 0.953815 | − | 1.56288i | ||||
\(634\) | −40.5318 | − | 8.61531i | −1.60972 | − | 0.342158i | ||||
\(635\) | −2.53260 | − | 1.56157i | −0.100503 | − | 0.0619691i | ||||
\(636\) | −2.45479 | − | 30.4801i | −0.0973388 | − | 1.20862i | ||||
\(637\) | 3.89275 | − | 4.32333i | 0.154236 | − | 0.171297i | ||||
\(638\) | −15.4348 | − | 47.5034i | −0.611070 | − | 1.88068i | ||||
\(639\) | −14.1195 | − | 0.688330i | −0.558559 | − | 0.0272299i | ||||
\(640\) | −20.0040 | − | 7.14574i | −0.790727 | − | 0.282460i | ||||
\(641\) | 8.84259 | − | 9.82070i | 0.349261 | − | 0.387894i | −0.542760 | − | 0.839888i | \(-0.682620\pi\) |
0.892021 | + | 0.451994i | \(0.149287\pi\) | |||||||
\(642\) | 24.5373 | + | 44.9962i | 0.968411 | + | 1.77586i | ||||
\(643\) | −7.49326 | + | 12.9787i | −0.295505 | + | 0.511831i | −0.975102 | − | 0.221755i | \(-0.928821\pi\) |
0.679597 | + | 0.733586i | \(0.262155\pi\) | |||||||
\(644\) | −4.34863 | − | 41.3744i | −0.171360 | − | 1.63038i | ||||
\(645\) | −1.30390 | − | 2.01190i | −0.0513408 | − | 0.0792183i | ||||
\(646\) | −0.0555395 | + | 0.528423i | −0.00218517 | + | 0.0207905i | ||||
\(647\) | −40.6013 | − | 29.4986i | −1.59620 | − | 1.15971i | −0.894334 | − | 0.447400i | \(-0.852350\pi\) |
−0.701867 | − | 0.712308i | \(-0.747650\pi\) | |||||||
\(648\) | 15.5500 | + | 70.6193i | 0.610861 | + | 2.77419i | ||||
\(649\) | 46.6296 | 1.83037 | ||||||||
\(650\) | 24.5997 | + | 12.7050i | 0.964880 | + | 0.498332i | ||||
\(651\) | 9.08088 | + | 6.94172i | 0.355908 | + | 0.272068i | ||||
\(652\) | −31.8083 | − | 35.3267i | −1.24571 | − | 1.38350i | ||||
\(653\) | 6.42228 | − | 2.85938i | 0.251323 | − | 0.111896i | −0.277209 | − | 0.960810i | \(-0.589409\pi\) |
0.528532 | + | 0.848913i | \(0.322743\pi\) | |||||||
\(654\) | 29.2209 | − | 30.9051i | 1.14263 | − | 1.20849i | ||||
\(655\) | −37.7035 | − | 5.06925i | −1.47320 | − | 0.198072i | ||||
\(656\) | −17.5529 | + | 12.7529i | −0.685325 | + | 0.497918i | ||||
\(657\) | 6.50121 | + | 23.9135i | 0.253636 | + | 0.932955i | ||||
\(658\) | −11.4263 | + | 8.30172i | −0.445445 | + | 0.323635i | ||||
\(659\) | 23.7000 | − | 26.3215i | 0.923221 | − | 1.02534i | −0.0763797 | − | 0.997079i | \(-0.524336\pi\) |
0.999601 | − | 0.0282619i | \(-0.00899723\pi\) | |||||||
\(660\) | −86.9646 | + | 70.2894i | −3.38509 | + | 2.73601i | ||||
\(661\) | −3.44767 | − | 3.82903i | −0.134099 | − | 0.148932i | 0.672355 | − | 0.740229i | \(-0.265283\pi\) |
−0.806454 | + | 0.591297i | \(0.798616\pi\) | |||||||
\(662\) | 56.0729 | + | 11.9187i | 2.17933 | + | 0.463232i | ||||
\(663\) | −0.0720131 | − | 0.0840057i | −0.00279676 | − | 0.00326251i | ||||
\(664\) | −103.467 | + | 21.9925i | −4.01528 | + | 0.853475i | ||||
\(665\) | 18.3726 | − | 23.8078i | 0.712457 | − | 0.923226i | ||||
\(666\) | 31.6883 | + | 16.0006i | 1.22790 | + | 0.620012i | ||||
\(667\) | 10.6973 | − | 7.77205i | 0.414201 | − | 0.300935i | ||||
\(668\) | 37.3681 | + | 64.7234i | 1.44581 | + | 2.50422i | ||||
\(669\) | 14.1740 | + | 25.9920i | 0.547998 | + | 1.00491i | ||||
\(670\) | 4.16058 | − | 0.315938i | 0.160737 | − | 0.0122058i | ||||
\(671\) | 43.2436 | − | 19.2533i | 1.66940 | − | 0.743264i | ||||
\(672\) | −13.9619 | − | 46.8209i | −0.538593 | − | 1.80616i | ||||
\(673\) | −19.2634 | + | 4.09455i | −0.742548 | + | 0.157833i | −0.563626 | − | 0.826030i | \(-0.690594\pi\) |
−0.178922 | + | 0.983863i | \(0.557261\pi\) | |||||||
\(674\) | 37.7518 | 1.45414 | ||||||||
\(675\) | 9.94178 | + | 24.0034i | 0.382659 | + | 0.923890i | ||||
\(676\) | −43.4536 | −1.67129 | ||||||||
\(677\) | 8.61159 | − | 1.83045i | 0.330970 | − | 0.0703499i | −0.0394295 | − | 0.999222i | \(-0.512554\pi\) |
0.370400 | + | 0.928872i | \(0.379221\pi\) | |||||||
\(678\) | −11.4719 | − | 38.4708i | −0.440577 | − | 1.47746i | ||||
\(679\) | 19.1660 | − | 8.53326i | 0.735524 | − | 0.327476i | ||||
\(680\) | 0.467779 | + | 0.288427i | 0.0179385 | + | 0.0110607i | ||||
\(681\) | 10.2201 | + | 18.7415i | 0.391636 | + | 0.718177i | ||||
\(682\) | 24.4604 | + | 42.3667i | 0.936638 | + | 1.62230i | ||||
\(683\) | −22.8601 | + | 16.6088i | −0.874716 | + | 0.635519i | −0.931848 | − | 0.362848i | \(-0.881804\pi\) |
0.0571320 | + | 0.998367i | \(0.481804\pi\) | |||||||
\(684\) | −5.53419 | − | 98.7072i | −0.211605 | − | 3.77417i | ||||
\(685\) | 6.27389 | + | 9.18255i | 0.239713 | + | 0.350847i | ||||
\(686\) | −52.1008 | + | 11.0744i | −1.98922 | + | 0.422821i | ||||
\(687\) | 23.1569 | + | 27.0133i | 0.883489 | + | 1.03062i | ||||
\(688\) | 6.80750 | + | 1.44698i | 0.259534 | + | 0.0551656i | ||||
\(689\) | −4.90458 | − | 5.44708i | −0.186849 | − | 0.207517i | ||||
\(690\) | −34.6756 | − | 22.5643i | −1.32008 | − | 0.859007i | ||||
\(691\) | −33.8032 | + | 37.5422i | −1.28593 | + | 1.42817i | −0.437190 | + | 0.899369i | \(0.644026\pi\) |
−0.848743 | + | 0.528805i | \(0.822640\pi\) | |||||||
\(692\) | −27.0227 | + | 19.6332i | −1.02725 | + | 0.746341i | ||||
\(693\) | −34.1769 | − | 9.02416i | −1.29827 | − | 0.342799i | ||||
\(694\) | −40.7262 | + | 29.5893i | −1.54594 | + | 1.12319i | ||||
\(695\) | 26.0641 | − | 14.0590i | 0.988668 | − | 0.533289i | ||||
\(696\) | 31.3799 | − | 33.1886i | 1.18945 | − | 1.25801i | ||||
\(697\) | 0.0539271 | − | 0.0240099i | 0.00204263 | − | 0.000909439i | ||||
\(698\) | 4.47588 | + | 4.97097i | 0.169415 | + | 0.188154i | ||||
\(699\) | −11.3735 | − | 8.69426i | −0.430184 | − | 0.328847i | ||||
\(700\) | −23.1874 | − | 46.1332i | −0.876401 | − | 1.74367i | ||||
\(701\) | 30.7464 | 1.16128 | 0.580638 | − | 0.814162i | \(-0.302803\pi\) | ||||
0.580638 | + | 0.814162i | \(0.302803\pi\) | |||||||
\(702\) | 21.9811 | + | 18.5666i | 0.829624 | + | 0.700751i | ||||
\(703\) | −23.6530 | − | 17.1849i | −0.892089 | − | 0.648140i | ||||
\(704\) | 8.36782 | − | 79.6144i | 0.315374 | − | 3.00058i | ||||
\(705\) | −0.535235 | + | 10.0352i | −0.0201581 | + | 0.377949i | ||||
\(706\) | −1.22935 | − | 11.6964i | −0.0462670 | − | 0.440201i | ||||
\(707\) | 2.19498 | − | 3.80182i | 0.0825509 | − | 0.142982i | ||||
\(708\) | 33.8883 | + | 62.1438i | 1.27360 | + | 2.33551i | ||||
\(709\) | −17.7193 | + | 19.6793i | −0.665463 | + | 0.739072i | −0.977485 | − | 0.211003i | \(-0.932327\pi\) |
0.312022 | + | 0.950075i | \(0.398994\pi\) | |||||||
\(710\) | 17.0680 | − | 22.1173i | 0.640551 | − | 0.830047i | ||||
\(711\) | −16.4753 | − | 32.0450i | −0.617871 | − | 1.20178i | ||||
\(712\) | 16.0614 | + | 49.4320i | 0.601927 | + | 1.85254i | ||||
\(713\) | −8.66569 | + | 9.62422i | −0.324533 | + | 0.360430i | ||||
\(714\) | 0.0231508 | + | 0.287454i | 0.000866397 | + | 0.0107577i | ||||
\(715\) | −6.32868 | + | 26.0452i | −0.236679 | + | 0.974035i | ||||
\(716\) | −24.0286 | − | 5.10744i | −0.897992 | − | 0.190874i | ||||
\(717\) | 16.2934 | − | 26.6976i | 0.608488 | − | 0.997040i | ||||
\(718\) | 45.2541 | + | 78.3825i | 1.68887 | + | 2.92521i | ||||
\(719\) | 2.59090 | − | 1.88240i | 0.0966244 | − | 0.0702017i | −0.538424 | − | 0.842674i | \(-0.680980\pi\) |
0.635048 | + | 0.772472i | \(0.280980\pi\) | |||||||
\(720\) | −69.7042 | − | 28.7990i | −2.59772 | − | 1.07328i | ||||
\(721\) | −2.00579 | − | 1.45730i | −0.0746997 | − | 0.0542725i | ||||
\(722\) | −6.62899 | + | 63.0706i | −0.246705 | + | 2.34724i | ||||
\(723\) | 20.2811 | + | 9.62822i | 0.754263 | + | 0.358077i | ||||
\(724\) | 26.6867 | − | 46.2227i | 0.991802 | − | 1.71785i | ||||
\(725\) | 9.01337 | − | 13.7137i | 0.334748 | − | 0.509314i | ||||
\(726\) | −80.0592 | − | 61.1999i | −2.97128 | − | 2.27134i | ||||
\(727\) | −40.1628 | + | 8.53687i | −1.48956 | + | 0.316615i | −0.879559 | − | 0.475789i | \(-0.842162\pi\) |
−0.609996 | + | 0.792404i | \(0.708829\pi\) | |||||||
\(728\) | −27.8679 | − | 20.2472i | −1.03285 | − | 0.750411i | ||||
\(729\) | 4.51534 | + | 26.6198i | 0.167235 | + | 0.985917i | ||||
\(730\) | −46.1209 | − | 16.4751i | −1.70701 | − | 0.609772i | ||||
\(731\) | −0.0172981 | − | 0.00770163i | −0.000639795 | − | 0.000284855i | ||||
\(732\) | 57.0865 | + | 43.6388i | 2.10998 | + | 1.61294i | ||||
\(733\) | 4.35613 | + | 41.4458i | 0.160897 | + | 1.53084i | 0.715436 | + | 0.698679i | \(0.246228\pi\) |
−0.554538 | + | 0.832158i | \(0.687105\pi\) | |||||||
\(734\) | −28.2006 | − | 5.99423i | −1.04090 | − | 0.221251i | ||||
\(735\) | −4.90689 | + | 9.60833i | −0.180993 | + | 0.354409i | ||||
\(736\) | 54.1477 | − | 11.5095i | 1.99591 | − | 0.424244i | ||||
\(737\) | 1.24823 | + | 3.84166i | 0.0459792 | + | 0.141509i | ||||
\(738\) | −12.8434 | + | 8.40737i | −0.472772 | + | 0.309480i | ||||
\(739\) | 7.60793 | − | 23.4148i | 0.279862 | − | 0.861327i | −0.708030 | − | 0.706183i | \(-0.750416\pi\) |
0.987892 | − | 0.155144i | \(-0.0495842\pi\) | |||||||
\(740\) | −44.1800 | + | 23.8308i | −1.62409 | + | 0.876036i | ||||
\(741\) | −15.4231 | − | 17.9915i | −0.566580 | − | 0.660935i | ||||
\(742\) | 1.99690 | + | 18.9993i | 0.0733086 | + | 0.697484i | ||||
\(743\) | −1.29297 | + | 2.23949i | −0.0474346 | + | 0.0821591i | −0.888768 | − | 0.458358i | \(-0.848438\pi\) |
0.841333 | + | 0.540517i | \(0.181771\pi\) | |||||||
\(744\) | −23.3046 | + | 38.1858i | −0.854387 | + | 1.39996i | ||||
\(745\) | 23.0433 | + | 21.9880i | 0.844241 | + | 0.805578i | ||||
\(746\) | 52.2036 | + | 37.9281i | 1.91131 | + | 1.38865i | ||||
\(747\) | −38.9871 | + | 6.32084i | −1.42646 | + | 0.231267i | ||||
\(748\) | −0.272906 | + | 0.839918i | −0.00997843 | + | 0.0307104i | ||||
\(749\) | −11.4551 | − | 19.8408i | −0.418559 | − | 0.724966i | ||||
\(750\) | −50.1537 | − | 10.9977i | −1.83135 | − | 0.401579i | ||||
\(751\) | −1.67267 | + | 2.89715i | −0.0610367 | + | 0.105719i | −0.894929 | − | 0.446208i | \(-0.852774\pi\) |
0.833892 | + | 0.551927i | \(0.186107\pi\) | |||||||
\(752\) | −19.5203 | − | 21.6795i | −0.711831 | − | 0.790569i | ||||
\(753\) | −3.97303 | − | 13.3234i | −0.144785 | − | 0.485533i | ||||
\(754\) | 1.89973 | − | 18.0747i | 0.0691841 | − | 0.658243i | ||||
\(755\) | −40.6391 | + | 11.9164i | −1.47901 | + | 0.433683i | ||||
\(756\) | −12.8116 | − | 52.1063i | −0.465953 | − | 1.89509i | ||||
\(757\) | −12.7280 | −0.462606 | −0.231303 | − | 0.972882i | \(-0.574299\pi\) | ||||
−0.231303 | + | 0.972882i | \(0.574299\pi\) | |||||||
\(758\) | 12.3597 | + | 5.50289i | 0.448925 | + | 0.199874i | ||||
\(759\) | 13.3001 | − | 37.7773i | 0.482765 | − | 1.37123i | ||||
\(760\) | 100.184 | + | 61.7725i | 3.63406 | + | 2.24072i | ||||
\(761\) | −14.9541 | − | 16.6083i | −0.542087 | − | 0.602049i | 0.408404 | − | 0.912801i | \(-0.366086\pi\) |
−0.950491 | + | 0.310753i | \(0.899419\pi\) | |||||||
\(762\) | 6.00639 | − | 1.12456i | 0.217589 | − | 0.0407384i | ||||
\(763\) | −12.7218 | + | 14.1290i | −0.460560 | + | 0.511503i | ||||
\(764\) | −37.1403 | + | 114.306i | −1.34369 | + | 4.13545i | ||||
\(765\) | 0.169211 | + | 0.116072i | 0.00611785 | + | 0.00419659i | ||||
\(766\) | −16.8172 | − | 51.7582i | −0.607632 | − | 1.87010i | ||||
\(767\) | 15.4999 | + | 6.90102i | 0.559671 | + | 0.249181i | ||||
\(768\) | −4.32845 | + | 1.80216i | −0.156189 | + | 0.0650298i | ||||
\(769\) | −3.71745 | − | 35.3692i | −0.134055 | − | 1.27545i | −0.830168 | − | 0.557514i | \(-0.811755\pi\) |
0.696113 | − | 0.717932i | \(-0.254911\pi\) | |||||||
\(770\) | 53.2449 | − | 45.2229i | 1.91881 | − | 1.62972i | ||||
\(771\) | 23.3347 | + | 5.55717i | 0.840379 | + | 0.200137i | ||||
\(772\) | −13.4880 | + | 128.329i | −0.485442 | + | 4.61867i | ||||
\(773\) | 5.00935 | − | 15.4172i | 0.180174 | − | 0.554518i | −0.819658 | − | 0.572853i | \(-0.805837\pi\) |
0.999832 | + | 0.0183350i | \(0.00583655\pi\) | |||||||
\(774\) | 4.76079 | + | 1.25705i | 0.171123 | + | 0.0451838i | ||||
\(775\) | −5.84249 | + | 14.9736i | −0.209868 | + | 0.537867i | ||||
\(776\) | 41.0552 | + | 71.1097i | 1.47380 | + | 2.55269i | ||||
\(777\) | −14.3350 | − | 6.80539i | −0.514267 | − | 0.244142i | ||||
\(778\) | −28.9144 | + | 12.8735i | −1.03663 | + | 0.461537i | ||||
\(779\) | 11.5496 | − | 5.14220i | 0.413806 | − | 0.184238i | ||||
\(780\) | −39.3101 | + | 10.4941i | −1.40753 | + | 0.375751i | ||||
\(781\) | 24.7072 | + | 11.0004i | 0.884095 | + | 0.393624i | ||||
\(782\) | −0.326746 | −0.0116844 | ||||||||
\(783\) | 12.3064 | − | 11.8070i | 0.439793 | − | 0.421946i | ||||
\(784\) | −9.67798 | − | 29.7857i | −0.345642 | − | 1.06378i | ||||
\(785\) | 15.3614 | + | 14.6579i | 0.548272 | + | 0.523163i | ||||
\(786\) | 64.3104 | − | 44.3722i | 2.29388 | − | 1.58271i | ||||
\(787\) | 22.0014 | + | 4.67654i | 0.784264 | + | 0.166701i | 0.582605 | − | 0.812755i | \(-0.302033\pi\) |
0.201659 | + | 0.979456i | \(0.435367\pi\) | |||||||
\(788\) | 75.6348 | + | 16.0767i | 2.69438 | + | 0.572708i | ||||
\(789\) | −24.4969 | − | 11.6296i | −0.872113 | − | 0.414025i | ||||
\(790\) | 70.5747 | + | 9.48879i | 2.51093 | + | 0.337596i | ||||
\(791\) | 5.54538 | + | 17.0669i | 0.197171 | + | 0.606830i | ||||
\(792\) | 21.1433 | − | 136.720i | 0.751294 | − | 4.85813i | ||||
\(793\) | 17.2238 | 0.611636 | ||||||||
\(794\) | 33.9601 | + | 15.1200i | 1.20520 | + | 0.536590i | ||||
\(795\) | 11.3932 | + | 7.41386i | 0.404077 | + | 0.262942i | ||||
\(796\) | −14.6684 | + | 6.53079i | −0.519907 | + | 0.231478i | ||||
\(797\) | 11.4630 | − | 5.10367i | 0.406041 | − | 0.180781i | −0.193545 | − | 0.981091i | \(-0.561999\pi\) |
0.599586 | + | 0.800310i | \(0.295332\pi\) | |||||||
\(798\) | 4.95821 | + | 61.5641i | 0.175519 | + | 2.17935i | ||||
\(799\) | 0.0396854 | + | 0.0687371i | 0.00140397 | + | 0.00243174i | ||||
\(800\) | 57.8249 | − | 37.1015i | 2.04442 | − | 1.31174i | ||||
\(801\) | 5.09128 | + | 18.7274i | 0.179892 | + | 0.661699i | ||||
\(802\) | 1.59053 | − | 4.89515i | 0.0561635 | − | 0.172854i | ||||
\(803\) | 4.95588 | − | 47.1521i | 0.174889 | − | 1.66396i | ||||
\(804\) | −4.21267 | + | 4.45548i | −0.148570 | + | 0.157133i | ||||
\(805\) | 15.7415 | + | 9.70603i | 0.554815 | + | 0.342093i | ||||
\(806\) | 1.86066 | + | 17.7030i | 0.0655390 | + | 0.623561i | ||||
\(807\) | −9.58172 | − | 7.32458i | −0.337292 | − | 0.257837i | ||||
\(808\) | 15.6960 | + | 6.98830i | 0.552182 | + | 0.245847i | ||||
\(809\) | −11.1962 | − | 34.4583i | −0.393636 | − | 1.21149i | −0.930018 | − | 0.367513i | \(-0.880209\pi\) |
0.536382 | − | 0.843975i | \(-0.319791\pi\) | |||||||
\(810\) | −48.2655 | − | 22.7527i | −1.69588 | − | 0.799447i | ||||
\(811\) | 4.95557 | − | 15.2517i | 0.174014 | − | 0.535559i | −0.825573 | − | 0.564295i | \(-0.809148\pi\) |
0.999587 | + | 0.0287359i | \(0.00914817\pi\) | |||||||
\(812\) | −22.6787 | + | 25.1873i | −0.795866 | + | 0.883899i | ||||
\(813\) | −10.4361 | + | 29.6423i | −0.366010 | + | 1.03960i | ||||
\(814\) | −45.4448 | − | 50.4715i | −1.59284 | − | 1.76903i | ||||
\(815\) | 21.0706 | − | 1.60002i | 0.738072 | − | 0.0560462i | ||||
\(816\) | −0.585486 | + | 0.109618i | −0.0204961 | + | 0.00383741i | ||||
\(817\) | −3.70475 | − | 1.64946i | −0.129613 | − | 0.0577073i | ||||
\(818\) | 29.0415 | 1.01541 | ||||||||
\(819\) | −10.0250 | − | 8.05774i | −0.350303 | − | 0.281560i | ||||
\(820\) | 0.627863 | − | 21.6974i | 0.0219259 | − | 0.757705i | ||||
\(821\) | −0.452565 | + | 4.30587i | −0.0157946 | + | 0.150276i | −0.999577 | − | 0.0290918i | \(-0.990738\pi\) |
0.983782 | + | 0.179368i | \(0.0574052\pi\) | |||||||
\(822\) | −22.2194 | − | 5.29157i | −0.774992 | − | 0.184565i | ||||
\(823\) | −26.6966 | − | 29.6496i | −0.930587 | − | 1.03352i | −0.999356 | − | 0.0358885i | \(-0.988574\pi\) |
0.0687692 | − | 0.997633i | \(-0.478093\pi\) | |||||||
\(824\) | 4.85172 | − | 8.40342i | 0.169018 | − | 0.292747i | ||||
\(825\) | −1.11857 | − | 49.6937i | −0.0389436 | − | 1.73011i | ||||
\(826\) | −22.1107 | − | 38.2968i | −0.769328 | − | 1.33252i | ||||
\(827\) | −2.65398 | + | 8.16812i | −0.0922881 | + | 0.284033i | −0.986537 | − | 0.163536i | \(-0.947710\pi\) |
0.894249 | + | 0.447569i | \(0.147710\pi\) | |||||||
\(828\) | 60.0122 | − | 9.72956i | 2.08557 | − | 0.338126i | ||||
\(829\) | −34.9992 | − | 25.4284i | −1.21557 | − | 0.883164i | −0.219847 | − | 0.975534i | \(-0.570556\pi\) |
−0.995725 | + | 0.0923701i | \(0.970556\pi\) | |||||||
\(830\) | 33.7973 | − | 70.3591i | 1.17312 | − | 2.44220i | ||||
\(831\) | 13.0220 | + | 23.8795i | 0.451728 | + | 0.828372i | ||||
\(832\) | 14.5642 | − | 25.2259i | 0.504922 | − | 0.874551i | ||||
\(833\) | 0.00890681 | + | 0.0847427i | 0.000308603 | + | 0.00293616i | ||||
\(834\) | −20.1981 | + | 57.3701i | −0.699403 | + | 1.98656i | ||||
\(835\) | −32.9258 | − | 4.42689i | −1.13945 | − | 0.153199i | ||||
\(836\) | −58.4483 | + | 179.885i | −2.02148 | + | 6.22147i | ||||
\(837\) | −9.38556 | + | 13.8174i | −0.324412 | + | 0.477601i | ||||
\(838\) | 13.6361 | + | 41.9676i | 0.471051 | + | 1.44975i | ||||
\(839\) | −22.5597 | + | 4.79522i | −0.778848 | + | 0.165549i | −0.580148 | − | 0.814511i | \(-0.697005\pi\) |
−0.198700 | + | 0.980060i | \(0.563672\pi\) | |||||||
\(840\) | 59.6170 | + | 22.9481i | 2.05698 | + | 0.791786i | ||||
\(841\) | 17.8294 | + | 3.78976i | 0.614808 | + | 0.130681i | ||||
\(842\) | −2.13381 | − | 20.3018i | −0.0735359 | − | 0.699647i | ||||
\(843\) | 4.29695 | − | 33.1051i | 0.147995 | − | 1.14020i | ||||
\(844\) | −122.218 | − | 54.4149i | −4.20691 | − | 1.87304i | ||||
\(845\) | 11.8011 | − | 15.2922i | 0.405969 | − | 0.526068i | ||||
\(846\) | −13.0475 | − | 15.9926i | −0.448582 | − | 0.549838i | ||||
\(847\) | 36.4431 | + | 26.4775i | 1.25220 | + | 0.909776i | ||||
\(848\) | −38.5969 | + | 8.20401i | −1.32542 | + | 0.281727i | ||||
\(849\) | 10.1160 | − | 4.21183i | 0.347181 | − | 0.144550i | ||||
\(850\) | −0.379383 | + | 0.143243i | −0.0130127 | + | 0.00491319i | ||||
\(851\) | 8.98962 | − | 15.5705i | 0.308160 | − | 0.533749i | ||||
\(852\) | 3.29577 | + | 40.9222i | 0.112911 | + | 1.40197i | ||||
\(853\) | −0.274156 | + | 2.60842i | −0.00938692 | + | 0.0893106i | −0.998212 | − | 0.0597677i | \(-0.980964\pi\) |
0.988825 | + | 0.149078i | \(0.0476307\pi\) | |||||||
\(854\) | −36.3178 | − | 26.3864i | −1.24277 | − | 0.902924i | ||||
\(855\) | 36.2400 | + | 24.8591i | 1.23938 | + | 0.850165i | ||||
\(856\) | 72.5408 | − | 52.7040i | 2.47939 | − | 1.80138i | ||||
\(857\) | −3.83097 | − | 6.63543i | −0.130863 | − | 0.226662i | 0.793146 | − | 0.609031i | \(-0.208442\pi\) |
−0.924010 | + | 0.382369i | \(0.875108\pi\) | |||||||
\(858\) | −26.3550 | − | 48.3295i | −0.899746 | − | 1.64994i | ||||
\(859\) | 36.0420 | + | 7.66096i | 1.22974 | + | 0.261388i | 0.776566 | − | 0.630036i | \(-0.216960\pi\) |
0.453170 | + | 0.891424i | \(0.350293\pi\) | |||||||
\(860\) | −5.30694 | + | 4.50738i | −0.180965 | + | 0.153700i | ||||
\(861\) | 5.64793 | − | 3.89690i | 0.192481 | − | 0.132806i | ||||
\(862\) | 57.3414 | − | 63.6841i | 1.95306 | − | 2.16909i | ||||
\(863\) | −11.1912 | − | 34.4429i | −0.380952 | − | 1.17245i | −0.939375 | − | 0.342893i | \(-0.888593\pi\) |
0.558423 | − | 0.829557i | \(-0.311407\pi\) | |||||||
\(864\) | 67.1725 | − | 24.2015i | 2.28526 | − | 0.823353i | ||||
\(865\) | 0.429481 | − | 14.8418i | 0.0146028 | − | 0.504636i | ||||
\(866\) | 55.8278 | − | 62.0031i | 1.89711 | − | 2.10695i | ||||
\(867\) | −29.4345 | − | 0.717044i | −0.999648 | − | 0.0243521i | ||||
\(868\) | 16.5979 | − | 28.7484i | 0.563369 | − | 0.975783i | ||||
\(869\) | 7.20583 | + | 68.5589i | 0.244441 | + | 2.32570i | ||||
\(870\) | 5.24170 | + | 33.2941i | 0.177710 | + | 1.12878i | ||||
\(871\) | −0.153634 | + | 1.46173i | −0.00520568 | + | 0.0495287i | ||||
\(872\) | −60.1993 | − | 43.7374i | −2.03861 | − | 1.48113i | ||||
\(873\) | 14.0184 | + | 27.2664i | 0.474453 | + | 0.922827i | ||||
\(874\) | −69.9792 | −2.36708 | ||||||||
\(875\) | 22.5324 | + | 4.36866i | 0.761734 | + | 0.147688i | ||||
\(876\) | 66.4419 | − | 27.6632i | 2.24486 | − | 0.934654i | ||||
\(877\) | −2.28107 | − | 2.53338i | −0.0770262 | − | 0.0855462i | 0.703400 | − | 0.710794i | \(-0.251664\pi\) |
−0.780426 | + | 0.625248i | \(0.784998\pi\) | |||||||
\(878\) | −43.8704 | + | 19.5324i | −1.48056 | + | 0.659186i | ||||
\(879\) | 38.0975 | + | 9.07294i | 1.28500 | + | 0.306023i | ||||
\(880\) | 104.392 | + | 99.6112i | 3.51905 | + | 3.35789i | ||||
\(881\) | 6.16387 | − | 4.47831i | 0.207666 | − | 0.150878i | −0.479091 | − | 0.877765i | \(-0.659034\pi\) |
0.686757 | + | 0.726887i | \(0.259034\pi\) | |||||||
\(882\) | −5.81298 | − | 21.3820i | −0.195733 | − | 0.719970i | ||||
\(883\) | 37.7740 | − | 27.4444i | 1.27120 | − | 0.923578i | 0.271946 | − | 0.962312i | \(-0.412333\pi\) |
0.999250 | + | 0.0387346i | \(0.0123327\pi\) | |||||||
\(884\) | −0.215021 | + | 0.238805i | −0.00723193 | + | 0.00803187i | ||||
\(885\) | −31.0730 | − | 4.95095i | −1.04451 | − | 0.166424i | ||||
\(886\) | 68.6814 | + | 76.2784i | 2.30740 | + | 2.56262i | ||||
\(887\) | −22.9846 | − | 4.88553i | −0.771747 | − | 0.164040i | −0.194824 | − | 0.980838i | \(-0.562414\pi\) |
−0.576923 | + | 0.816798i | \(0.695747\pi\) | |||||||
\(888\) | 20.6244 | − | 58.5810i | 0.692111 | − | 1.96585i | ||||
\(889\) | −2.67189 | + | 0.567929i | −0.0896125 | + | 0.0190477i | ||||
\(890\) | −36.1187 | − | 12.9021i | −1.21070 | − | 0.432481i | ||||
\(891\) | 10.3710 | − | 50.6044i | 0.347441 | − | 1.69531i | ||||
\(892\) | 69.5599 | − | 50.5382i | 2.32904 | − | 1.69214i | ||||
\(893\) | 8.49943 | + | 14.7214i | 0.284422 | + | 0.492634i | ||||
\(894\) | −65.3959 | − | 1.59309i | −2.18717 | − | 0.0532808i | ||||
\(895\) | 8.32307 | − | 7.06909i | 0.278210 | − | 0.236294i | ||||
\(896\) | −17.8158 | + | 7.93211i | −0.595184 | + | 0.264993i | ||||
\(897\) | 10.0120 | − | 10.5890i | 0.334290 | − | 0.353557i | ||||
\(898\) | 12.3670 | − | 2.62868i | 0.412691 | − | 0.0877201i | ||||
\(899\) | 10.5507 | 0.351886 | ||||||||
\(900\) | 65.4144 | − | 37.6058i | 2.18048 | − | 1.25353i | ||||
\(901\) | 0.107358 | 0.00357660 | ||||||||
\(902\) | 28.7267 | − | 6.10604i | 0.956493 | − | 0.203309i | ||||
\(903\) | −2.14119 | − | 0.509925i | −0.0712542 | − | 0.0169692i | ||||
\(904\) | −64.1617 | + | 28.5666i | −2.13399 | + | 0.950112i | ||||
\(905\) | 9.01917 | + | 21.9446i | 0.299807 | + | 0.729465i | ||||
\(906\) | 45.3112 | − | 74.2448i | 1.50536 | − | 2.46662i | ||||
\(907\) | −7.40266 | − | 12.8218i | −0.245801 | − | 0.425740i | 0.716555 | − | 0.697530i | \(-0.245718\pi\) |
−0.962357 | + | 0.271790i | \(0.912384\pi\) | |||||||
\(908\) | 50.1561 | − | 36.4405i | 1.66449 | − | 1.20932i | ||||
\(909\) | 5.72666 | + | 2.89161i | 0.189941 | + | 0.0959088i | ||||
\(910\) | 24.3918 | − | 7.15229i | 0.808579 | − | 0.237096i | ||||
\(911\) | −48.2193 | + | 10.2493i | −1.59758 | + | 0.339575i | −0.918786 | − | 0.394756i | \(-0.870829\pi\) |
−0.678791 | + | 0.734332i | \(0.737496\pi\) | |||||||
\(912\) | −125.394 | + | 23.4770i | −4.15220 | + | 0.777401i | ||||
\(913\) | 73.9126 | + | 15.7106i | 2.44615 | + | 0.519945i | ||||
\(914\) | −8.43747 | − | 9.37076i | −0.279087 | − | 0.309957i | ||||
\(915\) | −30.8608 | + | 8.23855i | −1.02023 | + | 0.272358i | ||||
\(916\) | 69.1430 | − | 76.7911i | 2.28455 | − | 2.53725i | ||||
\(917\) | −28.2560 | + | 20.5292i | −0.933094 | + | 0.677933i | ||||
\(918\) | −0.417520 | + | 0.0572937i | −0.0137802 | + | 0.00189097i | ||||
\(919\) | 14.7084 | − | 10.6863i | 0.485185 | − | 0.352508i | −0.318145 | − | 0.948042i | \(-0.603060\pi\) |
0.803330 | + | 0.595535i | \(0.203060\pi\) | |||||||
\(920\) | −31.3393 | + | 65.2420i | −1.03323 | + | 2.15097i | ||||
\(921\) | 0.984044 | + | 3.29996i | 0.0324254 | + | 0.108737i | ||||
\(922\) | 21.4472 | − | 9.54893i | 0.706327 | − | 0.314477i | ||||
\(923\) | 6.58482 | + | 7.31318i | 0.216742 | + | 0.240716i | ||||
\(924\) | −13.2139 | + | 101.805i | −0.434707 | + | 3.34912i | ||||
\(925\) | 3.61181 | − | 22.0198i | 0.118756 | − | 0.724005i | ||||
\(926\) | 4.10529 | 0.134908 | ||||||||
\(927\) | 1.96220 | − | 3.04580i | 0.0644472 | − | 0.100037i | ||||
\(928\) | −36.4857 | − | 26.5084i | −1.19770 | − | 0.870182i | ||||
\(929\) | −2.41859 | + | 23.0114i | −0.0793514 | + | 0.754978i | 0.880420 | + | 0.474195i | \(0.157261\pi\) |
−0.959771 | + | 0.280783i | \(0.909406\pi\) | |||||||
\(930\) | −11.8016 | − | 30.8294i | −0.386989 | − | 1.01094i | ||||
\(931\) | 1.90757 | + | 18.1494i | 0.0625182 | + | 0.594821i | ||||
\(932\) | −20.7882 | + | 36.0063i | −0.680942 | + | 1.17943i | ||||
\(933\) | −7.94371 | + | 13.0162i | −0.260065 | + | 0.426131i | ||||
\(934\) | −61.3108 | + | 68.0925i | −2.00615 | + | 2.22805i | ||||
\(935\) | −0.221469 | − | 0.324145i | −0.00724280 | − | 0.0106007i | ||||
\(936\) | 27.2622 | − | 42.3174i | 0.891094 | − | 1.38319i | ||||
\(937\) | 11.0255 | + | 33.9329i | 0.360186 | + | 1.10854i | 0.952941 | + | 0.303156i | \(0.0980402\pi\) |
−0.592755 | + | 0.805383i | \(0.701960\pi\) | |||||||
\(938\) | 2.56327 | − | 2.84680i | 0.0836937 | − | 0.0929512i | ||||
\(939\) | 51.3697 | + | 24.3871i | 1.67639 | + | 0.795844i | ||||
\(940\) | 29.1021 | − | 2.20990i | 0.949206 | − | 0.0720789i | ||||
\(941\) | 26.3203 | + | 5.59456i | 0.858019 | + | 0.182377i | 0.615857 | − | 0.787858i | \(-0.288810\pi\) |
0.242162 | + | 0.970236i | \(0.422143\pi\) | |||||||
\(942\) | −43.5950 | − | 1.06200i | −1.42040 | − | 0.0346019i | ||||
\(943\) | 3.88731 | + | 6.73301i | 0.126588 | + | 0.219257i | ||||
\(944\) | 73.8949 | − | 53.6878i | 2.40507 | − | 1.74739i | ||||
\(945\) | 21.8166 | + | 9.64228i | 0.709694 | + | 0.313663i | ||||
\(946\) | −7.62133 | − | 5.53722i | −0.247791 | − | 0.180031i | ||||
\(947\) | 0.289806 | − | 2.75732i | 0.00941741 | − | 0.0896007i | −0.988804 | − | 0.149223i | \(-0.952323\pi\) |
0.998221 | + | 0.0596220i | \(0.0189895\pi\) | |||||||
\(948\) | −86.1324 | + | 59.4288i | −2.79745 | + | 1.93016i | ||||
\(949\) | 8.62572 | − | 14.9402i | 0.280003 | − | 0.484979i | ||||
\(950\) | −81.2524 | + | 30.6784i | −2.63618 | + | 0.995338i | ||||
\(951\) | −3.48421 | + | 26.8435i | −0.112983 | + | 0.870461i | ||||
\(952\) | 0.493507 | − | 0.104898i | 0.0159947 | − | 0.00339977i | ||||
\(953\) | 18.2158 | + | 13.2345i | 0.590067 | + | 0.428709i | 0.842339 | − | 0.538948i | \(-0.181178\pi\) |
−0.252273 | + | 0.967656i | \(0.581178\pi\) | |||||||
\(954\) | −27.5578 | + | 4.46784i | −0.892216 | + | 0.144652i | ||||
\(955\) | −30.1401 | − | 44.1135i | −0.975311 | − | 1.42748i | ||||
\(956\) | −82.9813 | − | 36.9456i | −2.68381 | − | 1.19491i | ||||
\(957\) | −30.1218 | + | 12.5413i | −0.973699 | + | 0.405402i | ||||
\(958\) | 6.78001 | + | 64.5075i | 0.219052 | + | 2.08414i | ||||
\(959\) | 9.98703 | + | 2.12281i | 0.322498 | + | 0.0685490i | ||||
\(960\) | −14.0293 | + | 52.1649i | −0.452794 | + | 1.68362i | ||||
\(961\) | 20.2147 | − | 4.29676i | 0.652086 | − | 0.138605i | ||||
\(962\) | −7.63649 | − | 23.5027i | −0.246210 | − | 0.757758i | ||||
\(963\) | 28.0119 | − | 18.3368i | 0.902670 | − | 0.590894i | ||||
\(964\) | 20.1482 | − | 62.0099i | 0.648931 | − | 1.99720i | ||||
\(965\) | −41.4986 | − | 39.5981i | −1.33589 | − | 1.27471i | ||||
\(966\) | −37.3330 | + | 6.98973i | −1.20117 | + | 0.224891i | ||||
\(967\) | −1.80687 | − | 17.1912i | −0.0581050 | − | 0.552832i | −0.984389 | − | 0.176006i | \(-0.943682\pi\) |
0.926284 | − | 0.376826i | \(-0.122984\pi\) | |||||||
\(968\) | −88.1504 | + | 152.681i | −2.83326 | + | 4.90735i | ||||
\(969\) | 0.346987 | + | 0.00845285i | 0.0111468 | + | 0.000271545i | ||||
\(970\) | −60.0504 | − | 8.07381i | −1.92810 | − | 0.259234i | ||||
\(971\) | −12.0003 | − | 8.71872i | −0.385108 | − | 0.279797i | 0.378340 | − | 0.925667i | \(-0.376495\pi\) |
−0.763448 | + | 0.645869i | \(0.776495\pi\) | |||||||
\(972\) | 74.9783 | − | 22.9555i | 2.40493 | − | 0.736297i | ||||
\(973\) | 8.40158 | − | 25.8574i | 0.269342 | − | 0.828951i | ||||
\(974\) | −7.19214 | − | 12.4572i | −0.230451 | − | 0.399153i | ||||
\(975\) | 6.98268 | − | 16.6840i | 0.223625 | − | 0.534316i | ||||
\(976\) | 46.3614 | − | 80.3003i | 1.48399 | − | 2.57035i | ||||
\(977\) | −24.4707 | − | 27.1775i | −0.782888 | − | 0.869485i | 0.211269 | − | 0.977428i | \(-0.432240\pi\) |
−0.994157 | + | 0.107943i | \(0.965574\pi\) | |||||||
\(978\) | −29.8169 | + | 31.5355i | −0.953440 | + | 1.00839i | ||||
\(979\) | 3.88110 | − | 36.9262i | 0.124040 | − | 1.18017i | ||||
\(980\) | 29.5068 | + | 10.5403i | 0.942560 | + | 0.336697i | ||||
\(981\) | −21.6558 | − | 17.4061i | −0.691416 | − | 0.555734i | ||||
\(982\) | 58.3761 | 1.86286 | ||||||||
\(983\) | −18.6695 | − | 8.31219i | −0.595464 | − | 0.265118i | 0.0867974 | − | 0.996226i | \(-0.472337\pi\) |
−0.682261 | + | 0.731108i | \(0.739003\pi\) | |||||||
\(984\) | 17.4787 | + | 20.3895i | 0.557199 | + | 0.649992i | ||||
\(985\) | −26.1985 | + | 22.2513i | −0.834753 | + | 0.708986i | ||||
\(986\) | 0.178119 | + | 0.197821i | 0.00567247 | + | 0.00629992i | ||||
\(987\) | 6.00476 | + | 7.00475i | 0.191134 | + | 0.222964i | ||||
\(988\) | −46.0510 | + | 51.1448i | −1.46508 | + | 1.62713i | ||||
\(989\) | 0.770644 | − | 2.37180i | 0.0245050 | − | 0.0754188i | ||||
\(990\) | 70.3388 | + | 73.9883i | 2.23551 | + | 2.35150i | ||||
\(991\) | 7.58313 | + | 23.3385i | 0.240886 | + | 0.741371i | 0.996286 | + | 0.0861070i | \(0.0274427\pi\) |
−0.755400 | + | 0.655264i | \(0.772557\pi\) | |||||||
\(992\) | 40.3525 | + | 17.9661i | 1.28119 | + | 0.570424i | ||||
\(993\) | 4.82016 | − | 37.1361i | 0.152963 | − | 1.17848i | ||||
\(994\) | −2.68101 | − | 25.5081i | −0.0850366 | − | 0.809069i | ||||
\(995\) | 1.68530 | − | 6.93572i | 0.0534276 | − | 0.219877i | ||||
\(996\) | 32.7786 | + | 109.922i | 1.03863 | + | 3.48301i | ||||
\(997\) | 4.08728 | − | 38.8879i | 0.129446 | − | 1.23159i | −0.716218 | − | 0.697876i | \(-0.754129\pi\) |
0.845664 | − | 0.533716i | \(-0.179205\pi\) | |||||||
\(998\) | 33.2944 | − | 102.470i | 1.05392 | − | 3.24362i | ||||
\(999\) | 8.75683 | − | 21.4725i | 0.277054 | − | 0.679358i |
(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 | 225.2.q.a.121.1 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.496.28 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.46.1 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.196.28 | yes | 224 | |
25.6 | even | 5 | inner | 225.2.q.a.31.28 | ✓ | 224 | |
75.56 | odd | 10 | 675.2.r.a.631.1 | 224 | |||
225.56 | odd | 30 | 675.2.r.a.181.28 | 224 | |||
225.106 | even | 15 | inner | 225.2.q.a.106.1 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.28 | ✓ | 224 | 25.6 | even | 5 | inner | |
225.2.q.a.106.1 | yes | 224 | 225.106 | even | 15 | inner | |
225.2.q.a.121.1 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.196.28 | yes | 224 | 9.7 | even | 3 | inner | |
675.2.r.a.46.1 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.181.28 | 224 | 225.56 | odd | 30 | |||
675.2.r.a.496.28 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.631.1 | 224 | 75.56 | odd | 10 |