Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(3,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.be (of order \(24\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 115.17 | ||
Character | \(\chi\) | \(=\) | 224.115 |
Dual form | 224.2.be.a.187.17 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.286901 | + | 1.38481i | 0.202870 | + | 0.979206i | ||||
\(3\) | −0.360299 | − | 0.469551i | −0.208019 | − | 0.271095i | 0.677679 | − | 0.735358i | \(-0.262986\pi\) |
−0.885697 | + | 0.464263i | \(0.846319\pi\) | |||||||
\(4\) | −1.83538 | + | 0.794605i | −0.917688 | + | 0.397303i | ||||
\(5\) | 2.24363 | − | 2.92396i | 1.00338 | − | 1.30763i | 0.0523216 | − | 0.998630i | \(-0.483338\pi\) |
0.951061 | − | 0.309003i | \(-0.0999954\pi\) | |||||||
\(6\) | 0.546866 | − | 0.633659i | 0.223257 | − | 0.258690i | ||||
\(7\) | 2.53705 | + | 0.750581i | 0.958915 | + | 0.283693i | ||||
\(8\) | −1.62695 | − | 2.31367i | −0.575212 | − | 0.818004i | ||||
\(9\) | 0.685795 | − | 2.55942i | 0.228598 | − | 0.853140i | ||||
\(10\) | 4.69281 | + | 2.26811i | 1.48400 | + | 0.717238i | ||||
\(11\) | 0.0254955 | − | 0.193658i | 0.00768718 | − | 0.0583899i | −0.987171 | − | 0.159665i | \(-0.948959\pi\) |
0.994859 | + | 0.101275i | \(0.0322921\pi\) | |||||||
\(12\) | 1.03439 | + | 0.575506i | 0.298603 | + | 0.166134i | ||||
\(13\) | −1.79545 | + | 4.33461i | −0.497969 | + | 1.20220i | 0.452606 | + | 0.891711i | \(0.350494\pi\) |
−0.950575 | + | 0.310494i | \(0.899506\pi\) | |||||||
\(14\) | −0.311526 | + | 3.72867i | −0.0832588 | + | 0.996528i | ||||
\(15\) | −2.18132 | −0.563215 | ||||||||
\(16\) | 2.73720 | − | 2.91680i | 0.684301 | − | 0.729200i | ||||
\(17\) | 1.63000 | − | 2.82324i | 0.395333 | − | 0.684736i | −0.597811 | − | 0.801637i | \(-0.703963\pi\) |
0.993144 | + | 0.116901i | \(0.0372960\pi\) | |||||||
\(18\) | 3.74106 | + | 0.215391i | 0.881775 | + | 0.0507682i | ||||
\(19\) | 0.981731 | + | 7.45699i | 0.225225 | + | 1.71075i | 0.613907 | + | 0.789378i | \(0.289597\pi\) |
−0.388682 | + | 0.921372i | \(0.627070\pi\) | |||||||
\(20\) | −1.79451 | + | 7.14936i | −0.401265 | + | 1.59865i | ||||
\(21\) | −0.561661 | − | 1.46171i | −0.122564 | − | 0.318971i | ||||
\(22\) | 0.275493 | − | 0.0202543i | 0.0587353 | − | 0.00431823i | ||||
\(23\) | −0.849490 | − | 0.227620i | −0.177131 | − | 0.0474621i | 0.169163 | − | 0.985588i | \(-0.445893\pi\) |
−0.346294 | + | 0.938126i | \(0.612560\pi\) | |||||||
\(24\) | −0.500196 | + | 1.59754i | −0.102102 | + | 0.326097i | ||||
\(25\) | −2.22155 | − | 8.29094i | −0.444310 | − | 1.65819i | ||||
\(26\) | −6.51771 | − | 1.24275i | −1.27823 | − | 0.243723i | ||||
\(27\) | −3.08928 | + | 1.27962i | −0.594532 | + | 0.246263i | ||||
\(28\) | −5.25286 | + | 0.638357i | −0.992697 | + | 0.120638i | ||||
\(29\) | −0.793041 | + | 1.91457i | −0.147264 | + | 0.355527i | −0.980249 | − | 0.197769i | \(-0.936630\pi\) |
0.832985 | + | 0.553296i | \(0.186630\pi\) | |||||||
\(30\) | −0.625825 | − | 3.02071i | −0.114259 | − | 0.551504i | ||||
\(31\) | 1.85113 | − | 3.20626i | 0.332473 | − | 0.575861i | −0.650523 | − | 0.759487i | \(-0.725450\pi\) |
0.982996 | + | 0.183626i | \(0.0587835\pi\) | |||||||
\(32\) | 4.82451 | + | 2.95366i | 0.852860 | + | 0.522139i | ||||
\(33\) | −0.100118 | + | 0.0578032i | −0.0174283 | + | 0.0100622i | ||||
\(34\) | 4.37729 | + | 1.44724i | 0.750699 | + | 0.248200i | ||||
\(35\) | 7.88688 | − | 5.73420i | 1.33313 | − | 0.969257i | ||||
\(36\) | 0.775039 | + | 5.24243i | 0.129173 | + | 0.873739i | ||||
\(37\) | −8.19504 | − | 6.28828i | −1.34726 | − | 1.03379i | −0.995206 | − | 0.0978057i | \(-0.968818\pi\) |
−0.352051 | − | 0.935981i | \(-0.614516\pi\) | |||||||
\(38\) | −10.0448 | + | 3.49893i | −1.62949 | + | 0.567601i | ||||
\(39\) | 2.68222 | − | 0.718698i | 0.429499 | − | 0.115084i | ||||
\(40\) | −10.4153 | − | 0.433891i | −1.64681 | − | 0.0686042i | ||||
\(41\) | −3.81582 | + | 3.81582i | −0.595930 | + | 0.595930i | −0.939227 | − | 0.343297i | \(-0.888456\pi\) |
0.343297 | + | 0.939227i | \(0.388456\pi\) | |||||||
\(42\) | 1.86304 | − | 1.19716i | 0.287473 | − | 0.184725i | ||||
\(43\) | −2.28159 | + | 0.945065i | −0.347939 | + | 0.144121i | −0.549807 | − | 0.835292i | \(-0.685299\pi\) |
0.201868 | + | 0.979413i | \(0.435299\pi\) | |||||||
\(44\) | 0.107088 | + | 0.375693i | 0.0161441 | + | 0.0566379i | ||||
\(45\) | −5.94497 | − | 7.74763i | −0.886223 | − | 1.15495i | ||||
\(46\) | 0.0714899 | − | 1.24168i | 0.0105406 | − | 0.183076i | ||||
\(47\) | −1.58163 | + | 0.913157i | −0.230705 | + | 0.133198i | −0.610897 | − | 0.791710i | \(-0.709191\pi\) |
0.380192 | + | 0.924907i | \(0.375858\pi\) | |||||||
\(48\) | −2.35580 | − | 0.234337i | −0.340030 | − | 0.0338236i | ||||
\(49\) | 5.87326 | + | 3.80853i | 0.839037 | + | 0.544075i | ||||
\(50\) | 10.8440 | − | 5.45510i | 1.53357 | − | 0.771467i | ||||
\(51\) | −1.91294 | + | 0.251843i | −0.267865 | + | 0.0352651i | ||||
\(52\) | −0.148972 | − | 9.38231i | −0.0206588 | − | 1.30109i | ||||
\(53\) | 8.93961 | + | 1.17692i | 1.22795 | + | 0.161663i | 0.716461 | − | 0.697627i | \(-0.245761\pi\) |
0.511489 | + | 0.859290i | \(0.329094\pi\) | |||||||
\(54\) | −2.65834 | − | 3.91093i | −0.361755 | − | 0.532210i | ||||
\(55\) | −0.509044 | − | 0.509044i | −0.0686395 | − | 0.0686395i | ||||
\(56\) | −2.39105 | − | 7.09104i | −0.319518 | − | 0.947580i | ||||
\(57\) | 3.14772 | − | 3.14772i | 0.416925 | − | 0.416925i | ||||
\(58\) | −2.87883 | − | 0.548915i | −0.378009 | − | 0.0720761i | ||||
\(59\) | −1.11273 | + | 8.45206i | −0.144866 | + | 1.10036i | 0.752347 | + | 0.658767i | \(0.228921\pi\) |
−0.897213 | + | 0.441598i | \(0.854412\pi\) | |||||||
\(60\) | 4.00355 | − | 1.73329i | 0.516856 | − | 0.223767i | ||||
\(61\) | −0.828697 | − | 6.29458i | −0.106104 | − | 0.805938i | −0.958910 | − | 0.283711i | \(-0.908434\pi\) |
0.852806 | − | 0.522228i | \(-0.174899\pi\) | |||||||
\(62\) | 4.97114 | + | 1.64358i | 0.631335 | + | 0.208735i | ||||
\(63\) | 3.66095 | − | 5.97864i | 0.461236 | − | 0.753237i | ||||
\(64\) | −2.70609 | + | 7.52842i | −0.338262 | + | 0.941052i | ||||
\(65\) | 8.64588 | + | 14.9751i | 1.07239 | + | 1.85743i | ||||
\(66\) | −0.108770 | − | 0.122060i | −0.0133887 | − | 0.0150246i | ||||
\(67\) | −9.50532 | + | 7.29369i | −1.16126 | + | 0.891066i | −0.995468 | − | 0.0950951i | \(-0.969684\pi\) |
−0.165791 | + | 0.986161i | \(0.553018\pi\) | |||||||
\(68\) | −0.748297 | + | 6.47691i | −0.0907443 | + | 0.785441i | ||||
\(69\) | 0.199191 | + | 0.480890i | 0.0239798 | + | 0.0578923i | ||||
\(70\) | 10.2035 | + | 9.27664i | 1.21955 | + | 1.10877i | ||||
\(71\) | −4.95899 | − | 4.95899i | −0.588524 | − | 0.588524i | 0.348708 | − | 0.937231i | \(-0.386621\pi\) |
−0.937231 | + | 0.348708i | \(0.886621\pi\) | |||||||
\(72\) | −7.03739 | + | 2.57734i | −0.829365 | + | 0.303742i | ||||
\(73\) | 2.03722 | + | 7.60300i | 0.238438 | + | 0.889864i | 0.976569 | + | 0.215206i | \(0.0690422\pi\) |
−0.738130 | + | 0.674658i | \(0.764291\pi\) | |||||||
\(74\) | 6.35688 | − | 13.1527i | 0.738972 | − | 1.52897i | ||||
\(75\) | −3.09259 | + | 4.03035i | −0.357102 | + | 0.465384i | ||||
\(76\) | −7.72721 | − | 12.9063i | −0.886372 | − | 1.48045i | ||||
\(77\) | 0.210039 | − | 0.472183i | 0.0239362 | − | 0.0538102i | ||||
\(78\) | 1.76479 | + | 3.50816i | 0.199823 | + | 0.397221i | ||||
\(79\) | 2.39290 | + | 4.14462i | 0.269222 | + | 0.466306i | 0.968661 | − | 0.248386i | \(-0.0799001\pi\) |
−0.699439 | + | 0.714692i | \(0.746567\pi\) | |||||||
\(80\) | −2.38732 | − | 14.5477i | −0.266910 | − | 1.62648i | ||||
\(81\) | −5.17023 | − | 2.98503i | −0.574470 | − | 0.331670i | ||||
\(82\) | −6.37893 | − | 4.18940i | −0.704435 | − | 0.462642i | ||||
\(83\) | −5.02518 | − | 2.08150i | −0.551585 | − | 0.228474i | 0.0894425 | − | 0.995992i | \(-0.471491\pi\) |
−0.641027 | + | 0.767518i | \(0.721491\pi\) | |||||||
\(84\) | 2.19234 | + | 2.23648i | 0.239204 | + | 0.244020i | ||||
\(85\) | −4.59792 | − | 11.1004i | −0.498714 | − | 1.20400i | ||||
\(86\) | −1.96332 | − | 2.88842i | −0.211710 | − | 0.311466i | ||||
\(87\) | 1.18472 | − | 0.317445i | 0.127015 | − | 0.0340336i | ||||
\(88\) | −0.489538 | + | 0.256082i | −0.0521850 | + | 0.0272985i | ||||
\(89\) | 0.0259571 | − | 0.0968732i | 0.00275145 | − | 0.0102685i | −0.964536 | − | 0.263950i | \(-0.914975\pi\) |
0.967288 | + | 0.253681i | \(0.0816414\pi\) | |||||||
\(90\) | 9.02335 | − | 10.4554i | 0.951144 | − | 1.10210i | ||||
\(91\) | −7.80863 | + | 9.64949i | −0.818567 | + | 1.01154i | ||||
\(92\) | 1.74000 | − | 0.257241i | 0.181408 | − | 0.0268192i | ||||
\(93\) | −2.17246 | + | 0.286010i | −0.225274 | + | 0.0296578i | ||||
\(94\) | −1.71832 | − | 1.92827i | −0.177231 | − | 0.198886i | ||||
\(95\) | 24.0066 | + | 13.8602i | 2.46302 | + | 1.42203i | ||||
\(96\) | −0.351370 | − | 3.32955i | −0.0358615 | − | 0.339821i | ||||
\(97\) | 9.39885i | 0.954309i | 0.878819 | + | 0.477155i | \(0.158332\pi\) | ||||
−0.878819 | + | 0.477155i | \(0.841668\pi\) | |||||||
\(98\) | −3.58902 | + | 9.22599i | −0.362546 | + | 0.931966i | ||||
\(99\) | −0.478166 | − | 0.198063i | −0.0480575 | − | 0.0199061i | ||||
\(100\) | 10.6654 | + | 13.4517i | 1.06654 | + | 1.34517i | ||||
\(101\) | 1.36609 | + | 0.179849i | 0.135931 | + | 0.0178956i | 0.198184 | − | 0.980165i | \(-0.436495\pi\) |
−0.0622538 | + | 0.998060i | \(0.519829\pi\) | |||||||
\(102\) | −0.897579 | − | 2.57680i | −0.0888736 | − | 0.255141i | ||||
\(103\) | −11.1523 | − | 2.98824i | −1.09887 | − | 0.294440i | −0.336563 | − | 0.941661i | \(-0.609265\pi\) |
−0.762303 | + | 0.647221i | \(0.775931\pi\) | |||||||
\(104\) | 12.9499 | − | 2.89810i | 1.26985 | − | 0.284182i | ||||
\(105\) | −5.53413 | − | 1.63726i | −0.540076 | − | 0.159780i | ||||
\(106\) | 0.934978 | + | 12.7173i | 0.0908130 | + | 1.23521i | ||||
\(107\) | −5.10252 | − | 3.91530i | −0.493279 | − | 0.378507i | 0.331957 | − | 0.943295i | \(-0.392291\pi\) |
−0.825236 | + | 0.564788i | \(0.808958\pi\) | |||||||
\(108\) | 4.65319 | − | 4.80334i | 0.447753 | − | 0.462202i | ||||
\(109\) | −5.56613 | + | 4.27104i | −0.533139 | + | 0.409092i | −0.839938 | − | 0.542683i | \(-0.817409\pi\) |
0.306799 | + | 0.951774i | \(0.400742\pi\) | |||||||
\(110\) | 0.558882 | − | 0.850972i | 0.0532873 | − | 0.0811370i | ||||
\(111\) | 6.11365i | 0.580282i | ||||||||
\(112\) | 9.13372 | − | 5.34557i | 0.863055 | − | 0.505109i | ||||
\(113\) | 1.27034i | 0.119504i | 0.998213 | + | 0.0597519i | \(0.0190310\pi\) | ||||
−0.998213 | + | 0.0597519i | \(0.980969\pi\) | |||||||
\(114\) | 5.26206 | + | 3.45589i | 0.492837 | + | 0.323674i | ||||
\(115\) | −2.57149 | + | 1.97318i | −0.239793 | + | 0.184000i | ||||
\(116\) | −0.0658002 | − | 4.14411i | −0.00610940 | − | 0.384771i | ||||
\(117\) | 9.86277 | + | 7.56797i | 0.911814 | + | 0.699659i | ||||
\(118\) | −12.0237 | + | 0.883986i | −1.10687 | + | 0.0813775i | ||||
\(119\) | 6.25446 | − | 5.93926i | 0.573345 | − | 0.544451i | ||||
\(120\) | 3.54890 | + | 5.04685i | 0.323968 | + | 0.460713i | ||||
\(121\) | 10.5883 | + | 2.83713i | 0.962576 | + | 0.257921i | ||||
\(122\) | 8.47902 | − | 2.95351i | 0.767654 | − | 0.267398i | ||||
\(123\) | 3.16655 | + | 0.416885i | 0.285518 | + | 0.0375892i | ||||
\(124\) | −0.849815 | + | 7.35560i | −0.0763156 | + | 0.660553i | ||||
\(125\) | −12.2016 | − | 5.05406i | −1.09134 | − | 0.452049i | ||||
\(126\) | 9.32958 | + | 3.35442i | 0.831145 | + | 0.298836i | ||||
\(127\) | − | 6.29532i | − | 0.558619i | −0.960201 | − | 0.279310i | \(-0.909894\pi\) | ||
0.960201 | − | 0.279310i | \(-0.0901056\pi\) | |||||||
\(128\) | −11.2018 | − | 1.58750i | −0.990107 | − | 0.140317i | ||||
\(129\) | 1.26581 | + | 0.730815i | 0.111448 | + | 0.0643447i | ||||
\(130\) | −18.2571 | + | 16.2692i | −1.60125 | + | 1.42691i | ||||
\(131\) | 20.1751 | − | 2.65611i | 1.76271 | − | 0.232065i | 0.821575 | − | 0.570100i | \(-0.193095\pi\) |
0.941134 | + | 0.338035i | \(0.109762\pi\) | |||||||
\(132\) | 0.137823 | − | 0.185645i | 0.0119960 | − | 0.0161583i | ||||
\(133\) | −3.10637 | + | 19.6556i | −0.269357 | + | 1.70436i | ||||
\(134\) | −12.8274 | − | 11.0705i | −1.10812 | − | 0.956342i | ||||
\(135\) | −3.18964 | + | 11.9039i | −0.274521 | + | 1.02453i | ||||
\(136\) | −9.18395 | + | 0.821989i | −0.787517 | + | 0.0704849i | ||||
\(137\) | 21.1540 | − | 5.66819i | 1.80731 | − | 0.484266i | 0.812226 | − | 0.583342i | \(-0.198255\pi\) |
0.995080 | + | 0.0990762i | \(0.0315888\pi\) | |||||||
\(138\) | −0.608791 | + | 0.413809i | −0.0518237 | + | 0.0352257i | ||||
\(139\) | 7.25213 | + | 17.5082i | 0.615118 | + | 1.48503i | 0.857311 | + | 0.514798i | \(0.172133\pi\) |
−0.242194 | + | 0.970228i | \(0.577867\pi\) | |||||||
\(140\) | −9.91895 | + | 16.7914i | −0.838304 | + | 1.41913i | ||||
\(141\) | 0.998634 | + | 0.413648i | 0.0841002 | + | 0.0348354i | ||||
\(142\) | 5.44450 | − | 8.28998i | 0.456892 | − | 0.695679i | ||||
\(143\) | 0.793654 | + | 0.458216i | 0.0663687 | + | 0.0383180i | ||||
\(144\) | −5.58815 | − | 9.00598i | −0.465679 | − | 0.750498i | ||||
\(145\) | 3.81883 | + | 6.61441i | 0.317137 | + | 0.549297i | ||||
\(146\) | −9.94420 | + | 5.00246i | −0.822988 | + | 0.414007i | ||||
\(147\) | −0.327832 | − | 4.13000i | −0.0270391 | − | 0.340636i | ||||
\(148\) | 20.0377 | + | 5.02952i | 1.64709 | + | 0.413424i | ||||
\(149\) | 4.47610 | − | 5.83337i | 0.366696 | − | 0.477888i | −0.573167 | − | 0.819439i | \(-0.694285\pi\) |
0.939863 | + | 0.341551i | \(0.110952\pi\) | |||||||
\(150\) | −6.46852 | − | 3.12633i | −0.528152 | − | 0.255264i | ||||
\(151\) | −5.48853 | − | 20.4835i | −0.446650 | − | 1.66692i | −0.711542 | − | 0.702643i | \(-0.752003\pi\) |
0.264892 | − | 0.964278i | \(-0.414664\pi\) | |||||||
\(152\) | 15.6557 | − | 14.4035i | 1.26985 | − | 1.16828i | ||||
\(153\) | −6.10801 | − | 6.10801i | −0.493804 | − | 0.493804i | ||||
\(154\) | 0.714142 | + | 0.155394i | 0.0575472 | + | 0.0125220i | ||||
\(155\) | −5.22170 | − | 12.6063i | −0.419417 | − | 1.01256i | ||||
\(156\) | −4.35180 | + | 3.45039i | −0.348422 | + | 0.276252i | ||||
\(157\) | −2.93506 | + | 2.25215i | −0.234244 | + | 0.179741i | −0.719213 | − | 0.694790i | \(-0.755497\pi\) |
0.484969 | + | 0.874531i | \(0.338831\pi\) | |||||||
\(158\) | −5.05297 | + | 4.50280i | −0.401993 | + | 0.358223i | ||||
\(159\) | −2.66831 | − | 4.62164i | −0.211610 | − | 0.366520i | ||||
\(160\) | 19.4608 | − | 7.47972i | 1.53851 | − | 0.591324i | ||||
\(161\) | −1.98435 | − | 1.21509i | −0.156389 | − | 0.0957629i | ||||
\(162\) | 2.65035 | − | 8.01618i | 0.208231 | − | 0.629810i | ||||
\(163\) | −1.88541 | − | 14.3211i | −0.147676 | − | 1.12171i | −0.891397 | − | 0.453223i | \(-0.850274\pi\) |
0.743721 | − | 0.668491i | \(-0.233059\pi\) | |||||||
\(164\) | 3.97139 | − | 10.0355i | 0.310113 | − | 0.783643i | ||||
\(165\) | −0.0556139 | + | 0.422430i | −0.00432954 | + | 0.0328861i | ||||
\(166\) | 1.44074 | − | 7.55608i | 0.111823 | − | 0.586465i | ||||
\(167\) | −8.50231 | + | 8.50231i | −0.657929 | + | 0.657929i | −0.954890 | − | 0.296961i | \(-0.904027\pi\) |
0.296961 | + | 0.954890i | \(0.404027\pi\) | |||||||
\(168\) | −2.46811 | + | 3.67761i | −0.190419 | + | 0.283734i | ||||
\(169\) | −6.37280 | − | 6.37280i | −0.490215 | − | 0.490215i | ||||
\(170\) | 14.0527 | − | 9.55193i | 1.07779 | − | 0.732600i | ||||
\(171\) | 19.7588 | + | 2.60130i | 1.51100 | + | 0.198926i | ||||
\(172\) | 3.43662 | − | 3.54751i | 0.262040 | − | 0.270495i | ||||
\(173\) | 7.20683 | − | 0.948797i | 0.547925 | − | 0.0721357i | 0.148519 | − | 0.988910i | \(-0.452550\pi\) |
0.399407 | + | 0.916774i | \(0.369216\pi\) | |||||||
\(174\) | 0.779497 | + | 1.54953i | 0.0590935 | + | 0.117470i | ||||
\(175\) | 0.586835 | − | 22.7020i | 0.0443606 | − | 1.71611i | ||||
\(176\) | −0.495074 | − | 0.604445i | −0.0373176 | − | 0.0455618i | ||||
\(177\) | 4.36959 | − | 2.52278i | 0.328438 | − | 0.189624i | ||||
\(178\) | 0.141598 | + | 0.00815249i | 0.0106132 | + | 0.000611055i | ||||
\(179\) | −10.2369 | − | 13.3410i | −0.765143 | − | 0.997154i | −0.999686 | − | 0.0250486i | \(-0.992026\pi\) |
0.234543 | − | 0.972106i | \(-0.424641\pi\) | |||||||
\(180\) | 17.0676 | + | 9.49591i | 1.27214 | + | 0.707783i | ||||
\(181\) | −1.48033 | + | 0.613171i | −0.110032 | + | 0.0455767i | −0.437020 | − | 0.899452i | \(-0.643966\pi\) |
0.326988 | + | 0.945028i | \(0.393966\pi\) | |||||||
\(182\) | −15.6030 | − | 8.04499i | −1.15657 | − | 0.596334i | ||||
\(183\) | −2.65704 | + | 2.65704i | −0.196414 | + | 0.196414i | ||||
\(184\) | 0.855437 | + | 2.33576i | 0.0630637 | + | 0.172195i | ||||
\(185\) | −36.7733 | + | 9.85338i | −2.70363 | + | 0.724435i | ||||
\(186\) | −1.01935 | − | 2.92638i | −0.0747424 | − | 0.214573i | ||||
\(187\) | −0.505184 | − | 0.387641i | −0.0369427 | − | 0.0283471i | ||||
\(188\) | 2.17729 | − | 2.93276i | 0.158795 | − | 0.213894i | ||||
\(189\) | −8.79812 | + | 0.927710i | −0.639969 | + | 0.0674810i | ||||
\(190\) | −12.3062 | + | 37.2209i | −0.892783 | + | 2.70029i | ||||
\(191\) | 7.04481 | − | 4.06732i | 0.509745 | − | 0.294301i | −0.222984 | − | 0.974822i | \(-0.571580\pi\) |
0.732729 | + | 0.680521i | \(0.238246\pi\) | |||||||
\(192\) | 4.50997 | − | 1.44183i | 0.325479 | − | 0.104055i | ||||
\(193\) | 1.59700 | − | 2.76608i | 0.114954 | − | 0.199107i | −0.802807 | − | 0.596239i | \(-0.796661\pi\) |
0.917761 | + | 0.397132i | \(0.129995\pi\) | |||||||
\(194\) | −13.0156 | + | 2.69654i | −0.934465 | + | 0.193601i | ||||
\(195\) | 3.91647 | − | 9.45519i | 0.280464 | − | 0.677100i | ||||
\(196\) | −13.8059 | − | 2.32315i | −0.986136 | − | 0.165939i | ||||
\(197\) | −22.7704 | + | 9.43182i | −1.62233 | + | 0.671989i | −0.994341 | − | 0.106237i | \(-0.966120\pi\) |
−0.627985 | + | 0.778226i | \(0.716120\pi\) | |||||||
\(198\) | 0.137092 | − | 0.718992i | 0.00974272 | − | 0.0510965i | ||||
\(199\) | −3.74470 | − | 13.9754i | −0.265455 | − | 0.990690i | −0.961972 | − | 0.273150i | \(-0.911935\pi\) |
0.696517 | − | 0.717540i | \(-0.254732\pi\) | |||||||
\(200\) | −15.5681 | + | 18.6288i | −1.10083 | + | 1.31726i | ||||
\(201\) | 6.84951 | + | 1.83532i | 0.483127 | + | 0.129454i | ||||
\(202\) | 0.142876 | + | 1.94336i | 0.0100528 | + | 0.136735i | ||||
\(203\) | −3.44903 | + | 4.26212i | −0.242074 | + | 0.299142i | ||||
\(204\) | 3.31085 | − | 1.98226i | 0.231806 | − | 0.138786i | ||||
\(205\) | 2.59600 | + | 19.7186i | 0.181312 | + | 1.37720i | ||||
\(206\) | 0.938534 | − | 16.3011i | 0.0653908 | − | 1.13575i | ||||
\(207\) | −1.16515 | + | 2.01810i | −0.0809836 | + | 0.140268i | ||||
\(208\) | 7.72866 | + | 17.1017i | 0.535886 | + | 1.18579i | ||||
\(209\) | 1.46913 | 0.101622 | ||||||||
\(210\) | 0.679539 | − | 8.13343i | 0.0468926 | − | 0.561260i | ||||
\(211\) | 6.84963 | − | 16.5365i | 0.471548 | − | 1.13842i | −0.491931 | − | 0.870634i | \(-0.663709\pi\) |
0.963479 | − | 0.267784i | \(-0.0862913\pi\) | |||||||
\(212\) | −17.3427 | + | 4.94337i | −1.19110 | + | 0.339512i | ||||
\(213\) | −0.541778 | + | 4.11521i | −0.0371220 | + | 0.281970i | ||||
\(214\) | 3.95801 | − | 8.18931i | 0.270564 | − | 0.559810i | ||||
\(215\) | −2.35571 | + | 8.79164i | −0.160658 | + | 0.599585i | ||||
\(216\) | 7.98670 | + | 5.06568i | 0.543426 | + | 0.344676i | ||||
\(217\) | 7.10297 | − | 6.74501i | 0.482181 | − | 0.457881i | ||||
\(218\) | −7.51149 | − | 6.48264i | −0.508743 | − | 0.439060i | ||||
\(219\) | 2.83599 | − | 3.69593i | 0.191638 | − | 0.249748i | ||||
\(220\) | 1.33878 | + | 0.529798i | 0.0902602 | + | 0.0357189i | ||||
\(221\) | 9.31105 | + | 12.1344i | 0.626329 | + | 0.816248i | ||||
\(222\) | −8.46621 | + | 1.75401i | −0.568215 | + | 0.117722i | ||||
\(223\) | −2.20295 | −0.147520 | −0.0737601 | − | 0.997276i | \(-0.523500\pi\) | ||||
−0.0737601 | + | 0.997276i | \(0.523500\pi\) | |||||||
\(224\) | 10.0231 | + | 11.1148i | 0.669694 | + | 0.742637i | ||||
\(225\) | −22.7435 | −1.51623 | ||||||||
\(226\) | −1.75918 | + | 0.364463i | −0.117019 | + | 0.0242437i | ||||
\(227\) | 3.47455 | + | 4.52812i | 0.230614 | + | 0.300542i | 0.894299 | − | 0.447470i | \(-0.147675\pi\) |
−0.663685 | + | 0.748012i | \(0.731008\pi\) | |||||||
\(228\) | −3.27605 | + | 8.27843i | −0.216962 | + | 0.548253i | ||||
\(229\) | 14.7391 | − | 19.2084i | 0.973988 | − | 1.26933i | 0.0109556 | − | 0.999940i | \(-0.496513\pi\) |
0.963032 | − | 0.269386i | \(-0.0868207\pi\) | |||||||
\(230\) | −3.47023 | − | 2.99491i | −0.228820 | − | 0.197479i | ||||
\(231\) | −0.297390 | + | 0.0715029i | −0.0195669 | + | 0.00470454i | ||||
\(232\) | 5.71991 | − | 1.28007i | 0.375531 | − | 0.0840408i | ||||
\(233\) | −4.59370 | + | 17.1439i | −0.300944 | + | 1.12314i | 0.635438 | + | 0.772152i | \(0.280820\pi\) |
−0.936381 | + | 0.350984i | \(0.885847\pi\) | |||||||
\(234\) | −7.65053 | + | 15.8293i | −0.500131 | + | 1.03479i | ||||
\(235\) | −0.878572 | + | 6.67342i | −0.0573117 | + | 0.435326i | ||||
\(236\) | −4.67377 | − | 16.3969i | −0.304236 | − | 1.06735i | ||||
\(237\) | 1.08395 | − | 2.61689i | 0.0704102 | − | 0.169985i | ||||
\(238\) | 10.0191 | + | 6.95723i | 0.649444 | + | 0.450970i | ||||
\(239\) | 12.6706 | 0.819591 | 0.409796 | − | 0.912177i | \(-0.365600\pi\) | ||||
0.409796 | + | 0.912177i | \(0.365600\pi\) | |||||||
\(240\) | −5.97073 | + | 6.36248i | −0.385409 | + | 0.410696i | ||||
\(241\) | 4.33725 | − | 7.51235i | 0.279387 | − | 0.483913i | −0.691845 | − | 0.722046i | \(-0.743202\pi\) |
0.971233 | + | 0.238133i | \(0.0765354\pi\) | |||||||
\(242\) | −0.891075 | + | 15.4768i | −0.0572804 | + | 0.994884i | ||||
\(243\) | 1.77057 | + | 13.4488i | 0.113582 | + | 0.862741i | ||||
\(244\) | 6.52268 | + | 10.8944i | 0.417572 | + | 0.697444i | ||||
\(245\) | 24.3134 | − | 8.62822i | 1.55333 | − | 0.551237i | ||||
\(246\) | 0.331184 | + | 4.50467i | 0.0211155 | + | 0.287207i | ||||
\(247\) | −34.0858 | − | 9.13326i | −2.16883 | − | 0.581135i | ||||
\(248\) | −10.4299 | + | 0.933504i | −0.662299 | + | 0.0592776i | ||||
\(249\) | 0.833197 | + | 3.10953i | 0.0528017 | + | 0.197059i | ||||
\(250\) | 3.49824 | − | 18.3469i | 0.221248 | − | 1.16036i | ||||
\(251\) | 4.22400 | − | 1.74964i | 0.266617 | − | 0.110436i | −0.245370 | − | 0.969429i | \(-0.578910\pi\) |
0.511987 | + | 0.858993i | \(0.328910\pi\) | |||||||
\(252\) | −1.96856 | + | 13.8820i | −0.124007 | + | 0.874487i | ||||
\(253\) | −0.0657385 | + | 0.158707i | −0.00413294 | + | 0.00997781i | ||||
\(254\) | 8.71779 | − | 1.80614i | 0.547003 | − | 0.113327i | ||||
\(255\) | −3.55555 | + | 6.15840i | −0.222657 | + | 0.385654i | ||||
\(256\) | −1.01542 | − | 15.9677i | −0.0634640 | − | 0.997984i | ||||
\(257\) | −0.0444799 | + | 0.0256805i | −0.00277458 | + | 0.00160190i | −0.501387 | − | 0.865223i | \(-0.667177\pi\) |
0.498612 | + | 0.866825i | \(0.333843\pi\) | |||||||
\(258\) | −0.648875 | + | 1.96257i | −0.0403972 | + | 0.122184i | ||||
\(259\) | −16.0714 | − | 22.1047i | −0.998627 | − | 1.37352i | ||||
\(260\) | −27.7677 | − | 20.6149i | −1.72208 | − | 1.27848i | ||||
\(261\) | 4.35633 | + | 3.34273i | 0.269650 | + | 0.206910i | ||||
\(262\) | 9.46646 | + | 27.1766i | 0.584840 | + | 1.67898i | ||||
\(263\) | 1.65899 | − | 0.444526i | 0.102298 | − | 0.0274106i | −0.207307 | − | 0.978276i | \(-0.566470\pi\) |
0.309605 | + | 0.950865i | \(0.399803\pi\) | |||||||
\(264\) | 0.296624 | + | 0.137597i | 0.0182559 | + | 0.00846851i | ||||
\(265\) | 23.4985 | − | 23.4985i | 1.44350 | − | 1.44350i | ||||
\(266\) | −28.1105 | + | 1.33750i | −1.72356 | + | 0.0820076i | ||||
\(267\) | −0.0548392 | + | 0.0227151i | −0.00335610 | + | 0.00139014i | ||||
\(268\) | 11.6502 | − | 20.9396i | 0.711651 | − | 1.27909i | ||||
\(269\) | −1.33922 | − | 1.74531i | −0.0816539 | − | 0.106413i | 0.750740 | − | 0.660598i | \(-0.229697\pi\) |
−0.832394 | + | 0.554184i | \(0.813030\pi\) | |||||||
\(270\) | −17.3997 | − | 1.00179i | −1.05891 | − | 0.0609670i | ||||
\(271\) | −3.98800 | + | 2.30247i | −0.242254 | + | 0.139865i | −0.616212 | − | 0.787580i | \(-0.711334\pi\) |
0.373959 | + | 0.927445i | \(0.378000\pi\) | |||||||
\(272\) | −3.77318 | − | 12.4822i | −0.228783 | − | 0.756842i | ||||
\(273\) | 7.34437 | + | 0.189848i | 0.444501 | + | 0.0114901i | ||||
\(274\) | 13.9184 | + | 27.6679i | 0.840844 | + | 1.67148i | ||||
\(275\) | −1.66224 | + | 0.218838i | −0.100237 | + | 0.0131964i | ||||
\(276\) | −0.747708 | − | 0.724335i | −0.0450067 | − | 0.0435998i | ||||
\(277\) | 5.24024 | + | 0.689891i | 0.314855 | + | 0.0414515i | 0.286298 | − | 0.958141i | \(-0.407575\pi\) |
0.0285575 | + | 0.999592i | \(0.490909\pi\) | |||||||
\(278\) | −22.1648 | + | 15.0659i | −1.32936 | + | 0.903594i | ||||
\(279\) | −6.93666 | − | 6.93666i | −0.415287 | − | 0.415287i | ||||
\(280\) | −26.0985 | − | 8.91835i | −1.55969 | − | 0.532973i | ||||
\(281\) | 6.51561 | − | 6.51561i | 0.388689 | − | 0.388689i | −0.485531 | − | 0.874220i | \(-0.661374\pi\) |
0.874220 | + | 0.485531i | \(0.161374\pi\) | |||||||
\(282\) | −0.286312 | + | 1.50159i | −0.0170497 | + | 0.0894184i | ||||
\(283\) | −1.59733 | + | 12.1329i | −0.0949514 | + | 0.721227i | 0.876061 | + | 0.482200i | \(0.160162\pi\) |
−0.971013 | + | 0.239028i | \(0.923171\pi\) | |||||||
\(284\) | 13.0420 | + | 5.16117i | 0.773903 | + | 0.306259i | ||||
\(285\) | −2.14147 | − | 16.2661i | −0.126850 | − | 0.963521i | ||||
\(286\) | −0.406840 | + | 1.23052i | −0.0240570 | + | 0.0727621i | ||||
\(287\) | −12.5450 | + | 6.81684i | −0.740508 | + | 0.402385i | ||||
\(288\) | 10.8683 | − | 10.3223i | 0.640420 | − | 0.608249i | ||||
\(289\) | 3.18621 | + | 5.51868i | 0.187424 | + | 0.324628i | ||||
\(290\) | −8.06405 | + | 7.18602i | −0.473537 | + | 0.421978i | ||||
\(291\) | 4.41324 | − | 3.38640i | 0.258709 | − | 0.198514i | ||||
\(292\) | −9.78044 | − | 12.3356i | −0.572357 | − | 0.721885i | ||||
\(293\) | −9.68853 | − | 23.3902i | −0.566010 | − | 1.36647i | −0.904892 | − | 0.425640i | \(-0.860049\pi\) |
0.338883 | − | 0.940829i | \(-0.389951\pi\) | |||||||
\(294\) | 5.62519 | − | 1.63889i | 0.328068 | − | 0.0955818i | ||||
\(295\) | 22.2169 | + | 22.2169i | 1.29352 | + | 1.29352i | ||||
\(296\) | −1.21608 | + | 29.1913i | −0.0706830 | + | 1.69671i | ||||
\(297\) | 0.169046 | + | 0.630887i | 0.00980902 | + | 0.0366078i | ||||
\(298\) | 9.36228 | + | 4.52493i | 0.542342 | + | 0.262122i | ||||
\(299\) | 2.51186 | − | 3.27352i | 0.145265 | − | 0.189313i | ||||
\(300\) | 2.47353 | − | 9.85459i | 0.142810 | − | 0.568955i | ||||
\(301\) | −6.49785 | + | 0.685161i | −0.374530 | + | 0.0394920i | ||||
\(302\) | 26.7910 | − | 13.4773i | 1.54165 | − | 0.775531i | ||||
\(303\) | −0.407751 | − | 0.706246i | −0.0234247 | − | 0.0405728i | ||||
\(304\) | 24.4377 | + | 17.5478i | 1.40160 | + | 1.00643i | ||||
\(305\) | −20.2644 | − | 11.6996i | −1.16033 | − | 0.669919i | ||||
\(306\) | 6.70602 | − | 10.2108i | 0.383357 | − | 0.583713i | ||||
\(307\) | −1.39053 | − | 0.575975i | −0.0793616 | − | 0.0328727i | 0.342649 | − | 0.939463i | \(-0.388676\pi\) |
−0.422011 | + | 0.906591i | \(0.638676\pi\) | |||||||
\(308\) | −0.0103016 | + | 1.03353i | −0.000586989 | + | 0.0588909i | ||||
\(309\) | 2.61502 | + | 6.31322i | 0.148763 | + | 0.359146i | ||||
\(310\) | 15.9592 | − | 10.8478i | 0.906419 | − | 0.616114i | ||||
\(311\) | 29.2400 | − | 7.83483i | 1.65805 | − | 0.444273i | 0.696198 | − | 0.717850i | \(-0.254874\pi\) |
0.961850 | + | 0.273577i | \(0.0882069\pi\) | |||||||
\(312\) | −6.02665 | − | 5.03647i | −0.341192 | − | 0.285134i | ||||
\(313\) | 0.740609 | − | 2.76399i | 0.0418617 | − | 0.156230i | −0.941831 | − | 0.336086i | \(-0.890897\pi\) |
0.983693 | + | 0.179856i | \(0.0575633\pi\) | |||||||
\(314\) | −3.96087 | − | 3.41835i | −0.223525 | − | 0.192909i | ||||
\(315\) | −9.26746 | − | 24.1183i | −0.522162 | − | 1.35891i | ||||
\(316\) | −7.68521 | − | 5.70553i | −0.432327 | − | 0.320961i | ||||
\(317\) | 5.28998 | − | 0.696439i | 0.297115 | − | 0.0391159i | 0.0195048 | − | 0.999810i | \(-0.493791\pi\) |
0.277610 | + | 0.960694i | \(0.410458\pi\) | |||||||
\(318\) | 5.63454 | − | 5.02104i | 0.315969 | − | 0.281566i | ||||
\(319\) | 0.350552 | + | 0.202391i | 0.0196271 | + | 0.0113317i | ||||
\(320\) | 15.9413 | + | 24.8035i | 0.891146 | + | 1.38656i | ||||
\(321\) | 3.80657i | 0.212462i | ||||||||
\(322\) | 1.11336 | − | 3.09655i | 0.0620450 | − | 0.172564i | ||||
\(323\) | 22.6531 | + | 9.38321i | 1.26045 | + | 0.522096i | ||||
\(324\) | 11.8612 | + | 1.37036i | 0.658958 | + | 0.0761313i | ||||
\(325\) | 39.9267 | + | 5.25645i | 2.21473 | + | 0.291575i | ||||
\(326\) | 19.2910 | − | 6.71966i | 1.06843 | − | 0.372168i | ||||
\(327\) | 4.01094 | + | 1.07473i | 0.221805 | + | 0.0594326i | ||||
\(328\) | 15.0366 | + | 2.62039i | 0.830260 | + | 0.144687i | ||||
\(329\) | −4.69808 | + | 1.12958i | −0.259014 | + | 0.0622758i | ||||
\(330\) | −0.600939 | + | 0.0441812i | −0.0330806 | + | 0.00243209i | ||||
\(331\) | −12.7330 | − | 9.77040i | −0.699871 | − | 0.537030i | 0.196407 | − | 0.980522i | \(-0.437073\pi\) |
−0.896278 | + | 0.443493i | \(0.853739\pi\) | |||||||
\(332\) | 10.8771 | − | 0.172706i | 0.596956 | − | 0.00947847i | ||||
\(333\) | −21.7145 | + | 16.6621i | −1.18995 | + | 0.913077i | ||||
\(334\) | −14.2134 | − | 9.33473i | −0.777721 | − | 0.510773i | ||||
\(335\) | 44.1575i | 2.41258i | ||||||||
\(336\) | −5.80089 | − | 2.36274i | −0.316464 | − | 0.128898i | ||||
\(337\) | 25.9961i | 1.41610i | 0.706163 | + | 0.708049i | \(0.250425\pi\) | ||||
−0.706163 | + | 0.708049i | \(0.749575\pi\) | |||||||
\(338\) | 6.99672 | − | 10.6534i | 0.380571 | − | 0.579471i | ||||
\(339\) | 0.596490 | − | 0.457703i | 0.0323969 | − | 0.0248590i | ||||
\(340\) | 17.2593 | + | 16.7198i | 0.936017 | + | 0.906758i | ||||
\(341\) | −0.573720 | − | 0.440231i | −0.0310687 | − | 0.0238398i | ||||
\(342\) | 2.06654 | + | 28.1085i | 0.111746 | + | 1.51993i | ||||
\(343\) | 12.0421 | + | 14.0708i | 0.650215 | + | 0.759751i | ||||
\(344\) | 5.89858 | + | 3.74126i | 0.318030 | + | 0.201715i | ||||
\(345\) | 1.85301 | + | 0.496513i | 0.0997628 | + | 0.0267314i | ||||
\(346\) | 3.38155 | + | 9.70785i | 0.181793 | + | 0.521897i | ||||
\(347\) | −25.7655 | − | 3.39209i | −1.38317 | − | 0.182097i | −0.598056 | − | 0.801454i | \(-0.704060\pi\) |
−0.785109 | + | 0.619357i | \(0.787393\pi\) | |||||||
\(348\) | −1.92216 | + | 1.52401i | −0.103039 | + | 0.0816958i | ||||
\(349\) | 9.97430 | + | 4.13149i | 0.533912 | + | 0.221154i | 0.633316 | − | 0.773894i | \(-0.281694\pi\) |
−0.0994037 | + | 0.995047i | \(0.531694\pi\) | |||||||
\(350\) | 31.6062 | − | 5.70058i | 1.68942 | − | 0.304709i | ||||
\(351\) | − | 15.6883i | − | 0.837380i | ||||||
\(352\) | 0.695002 | − | 0.858997i | 0.0370438 | − | 0.0457847i | ||||
\(353\) | −8.89552 | − | 5.13583i | −0.473461 | − | 0.273353i | 0.244226 | − | 0.969718i | \(-0.421466\pi\) |
−0.717687 | + | 0.696365i | \(0.754799\pi\) | |||||||
\(354\) | 4.74720 | + | 5.32724i | 0.252311 | + | 0.283140i | ||||
\(355\) | −25.6260 | + | 3.37373i | −1.36009 | + | 0.179059i | ||||
\(356\) | 0.0293350 | + | 0.198424i | 0.00155475 | + | 0.0105165i | ||||
\(357\) | −5.04226 | − | 0.796877i | −0.266865 | − | 0.0421752i | ||||
\(358\) | 15.5377 | − | 18.0037i | 0.821195 | − | 0.951525i | ||||
\(359\) | 8.49961 | − | 31.7210i | 0.448592 | − | 1.67417i | −0.257682 | − | 0.966230i | \(-0.582959\pi\) |
0.706274 | − | 0.707939i | \(-0.250375\pi\) | |||||||
\(360\) | −8.25328 | + | 26.3596i | −0.434986 | + | 1.38927i | ||||
\(361\) | −36.2903 | + | 9.72395i | −1.91001 | + | 0.511787i | ||||
\(362\) | −1.27383 | − | 1.87405i | −0.0669511 | − | 0.0984976i | ||||
\(363\) | −2.48279 | − | 5.99397i | −0.130312 | − | 0.314602i | ||||
\(364\) | 6.66424 | − | 23.9152i | 0.349301 | − | 1.25350i | ||||
\(365\) | 26.8016 | + | 11.1016i | 1.40286 | + | 0.581084i | ||||
\(366\) | −4.44180 | − | 2.91718i | −0.232177 | − | 0.152484i | ||||
\(367\) | −4.93261 | − | 2.84784i | −0.257480 | − | 0.148656i | 0.365704 | − | 0.930731i | \(-0.380828\pi\) |
−0.623185 | + | 0.782075i | \(0.714161\pi\) | |||||||
\(368\) | −2.98915 | + | 1.85475i | −0.155820 | + | 0.0966854i | ||||
\(369\) | 7.14941 | + | 12.3831i | 0.372183 | + | 0.644641i | ||||
\(370\) | −24.1953 | − | 48.0970i | −1.25786 | − | 2.50044i | ||||
\(371\) | 21.7969 | + | 9.69581i | 1.13164 | + | 0.503381i | ||||
\(372\) | 3.76002 | − | 2.25118i | 0.194948 | − | 0.116718i | ||||
\(373\) | −1.55936 | + | 2.03219i | −0.0807404 | + | 0.105223i | −0.831977 | − | 0.554810i | \(-0.812791\pi\) |
0.751237 | + | 0.660033i | \(0.229458\pi\) | |||||||
\(374\) | 0.391870 | − | 0.810797i | 0.0202631 | − | 0.0419253i | ||||
\(375\) | 2.02308 | + | 7.55024i | 0.104471 | + | 0.389893i | ||||
\(376\) | 4.68597 | + | 2.17371i | 0.241661 | + | 0.112101i | ||||
\(377\) | −6.87505 | − | 6.87505i | −0.354083 | − | 0.354083i | ||||
\(378\) | −3.80889 | − | 11.9175i | −0.195908 | − | 0.612971i | ||||
\(379\) | 7.46656 | + | 18.0259i | 0.383531 | + | 0.925926i | 0.991277 | + | 0.131795i | \(0.0420739\pi\) |
−0.607746 | + | 0.794132i | \(0.707926\pi\) | |||||||
\(380\) | −55.0744 | − | 6.36291i | −2.82526 | − | 0.326411i | ||||
\(381\) | −2.95597 | + | 2.26820i | −0.151439 | + | 0.116203i | ||||
\(382\) | 7.65362 | + | 8.58878i | 0.391593 | + | 0.439440i | ||||
\(383\) | 9.29771 | + | 16.1041i | 0.475091 | + | 0.822882i | 0.999593 | − | 0.0285276i | \(-0.00908184\pi\) |
−0.524502 | + | 0.851409i | \(0.675749\pi\) | |||||||
\(384\) | 3.29058 | + | 5.83178i | 0.167921 | + | 0.297602i | ||||
\(385\) | −0.909392 | − | 1.67355i | −0.0463469 | − | 0.0852920i | ||||
\(386\) | 4.28866 | + | 1.41794i | 0.218287 | + | 0.0721711i | ||||
\(387\) | 0.854117 | + | 6.48766i | 0.0434172 | + | 0.329786i | ||||
\(388\) | −7.46838 | − | 17.2504i | −0.379150 | − | 0.875758i | ||||
\(389\) | 0.470226 | − | 3.57172i | 0.0238414 | − | 0.181093i | −0.975381 | − | 0.220527i | \(-0.929222\pi\) |
0.999222 | + | 0.0394341i | \(0.0125555\pi\) | |||||||
\(390\) | 14.2172 | + | 2.71084i | 0.719918 | + | 0.137269i | ||||
\(391\) | −2.02729 | + | 2.02729i | −0.102525 | + | 0.102525i | ||||
\(392\) | −0.743818 | − | 19.7850i | −0.0375685 | − | 0.999294i | ||||
\(393\) | −8.51625 | − | 8.51625i | −0.429588 | − | 0.429588i | ||||
\(394\) | −19.5941 | − | 28.8266i | −0.987137 | − | 1.45226i | ||||
\(395\) | 17.4875 | + | 2.30227i | 0.879891 | + | 0.115840i | ||||
\(396\) | 1.03500 | − | 0.0164337i | 0.0520105 | − | 0.000825824i | ||||
\(397\) | −13.9742 | + | 1.83974i | −0.701344 | + | 0.0923337i | −0.472761 | − | 0.881191i | \(-0.656743\pi\) |
−0.228583 | + | 0.973524i | \(0.573409\pi\) | |||||||
\(398\) | 18.2789 | − | 9.19524i | 0.916237 | − | 0.460916i | ||||
\(399\) | 10.3485 | − | 5.62330i | 0.518075 | − | 0.281517i | ||||
\(400\) | −30.2638 | − | 16.2142i | −1.51319 | − | 0.810709i | ||||
\(401\) | 9.96747 | − | 5.75472i | 0.497752 | − | 0.287377i | −0.230033 | − | 0.973183i | \(-0.573883\pi\) |
0.727785 | + | 0.685806i | \(0.240550\pi\) | |||||||
\(402\) | −0.576429 | + | 10.0118i | −0.0287497 | + | 0.499343i | ||||
\(403\) | 10.5742 | + | 13.7806i | 0.526741 | + | 0.686462i | ||||
\(404\) | −2.65019 | + | 0.755410i | −0.131852 | + | 0.0375830i | ||||
\(405\) | −20.3282 | + | 8.42022i | −1.01012 | + | 0.418404i | ||||
\(406\) | −6.89174 | − | 3.55342i | −0.342031 | − | 0.176353i | ||||
\(407\) | −1.42671 | + | 1.42671i | −0.0707193 | + | 0.0707193i | ||||
\(408\) | 3.69493 | + | 4.01617i | 0.182926 | + | 0.198830i | ||||
\(409\) | −10.4818 | + | 2.80860i | −0.518294 | + | 0.138876i | −0.508477 | − | 0.861075i | \(-0.669791\pi\) |
−0.00981657 | + | 0.999952i | \(0.503125\pi\) | |||||||
\(410\) | −26.5616 | + | 9.25224i | −1.31178 | + | 0.456936i | ||||
\(411\) | −10.2833 | − | 7.89062i | −0.507236 | − | 0.389216i | ||||
\(412\) | 22.8431 | − | 3.37711i | 1.12540 | − | 0.166378i | ||||
\(413\) | −9.16702 | + | 20.6081i | −0.451080 | + | 1.01406i | ||||
\(414\) | −3.12896 | − | 1.03451i | −0.153780 | − | 0.0508435i | ||||
\(415\) | −17.3608 | + | 10.0233i | −0.852211 | + | 0.492024i | ||||
\(416\) | −21.4652 | + | 15.6092i | −1.05242 | + | 0.765303i | ||||
\(417\) | 5.60805 | − | 9.71343i | 0.274627 | − | 0.475669i | ||||
\(418\) | 0.421496 | + | 2.03446i | 0.0206160 | + | 0.0995088i | ||||
\(419\) | −1.14858 | + | 2.77292i | −0.0561119 | + | 0.135466i | −0.949449 | − | 0.313920i | \(-0.898357\pi\) |
0.893337 | + | 0.449387i | \(0.148357\pi\) | |||||||
\(420\) | 11.4582 | − | 1.39246i | 0.559102 | − | 0.0679452i | ||||
\(421\) | 18.6016 | − | 7.70504i | 0.906587 | − | 0.375521i | 0.119838 | − | 0.992793i | \(-0.461762\pi\) |
0.786749 | + | 0.617273i | \(0.211762\pi\) | |||||||
\(422\) | 24.8650 | + | 4.74108i | 1.21041 | + | 0.230792i | ||||
\(423\) | 1.25248 | + | 4.67430i | 0.0608975 | + | 0.227272i | ||||
\(424\) | −11.8213 | − | 22.5980i | −0.574091 | − | 1.09746i | ||||
\(425\) | −27.0284 | − | 7.24225i | −1.31107 | − | 0.351301i | ||||
\(426\) | −5.85421 | + | 0.430403i | −0.283637 | + | 0.0208531i | ||||
\(427\) | 2.62215 | − | 16.5917i | 0.126894 | − | 0.802927i | ||||
\(428\) | 12.4762 | + | 3.13156i | 0.603058 | + | 0.151370i | ||||
\(429\) | −0.0707968 | − | 0.537755i | −0.00341810 | − | 0.0259631i | ||||
\(430\) | −12.8506 | − | 0.739872i | −0.619710 | − | 0.0356798i | ||||
\(431\) | −0.410242 | + | 0.710561i | −0.0197607 | + | 0.0342265i | −0.875737 | − | 0.482789i | \(-0.839624\pi\) |
0.855976 | + | 0.517016i | \(0.172957\pi\) | |||||||
\(432\) | −4.72359 | + | 12.5134i | −0.227264 | + | 0.602051i | ||||
\(433\) | 19.1887 | 0.922148 | 0.461074 | − | 0.887362i | \(-0.347464\pi\) | ||||
0.461074 | + | 0.887362i | \(0.347464\pi\) | |||||||
\(434\) | 11.3784 | + | 7.90109i | 0.546180 | + | 0.379264i | ||||
\(435\) | 1.72988 | − | 4.17630i | 0.0829414 | − | 0.200238i | ||||
\(436\) | 6.82214 | − | 12.2618i | 0.326721 | − | 0.587236i | ||||
\(437\) | 0.863390 | − | 6.55809i | 0.0413015 | − | 0.313716i | ||||
\(438\) | 5.93179 | + | 2.86692i | 0.283432 | + | 0.136987i | ||||
\(439\) | −8.03114 | + | 29.9726i | −0.383305 | + | 1.43051i | 0.457516 | + | 0.889201i | \(0.348739\pi\) |
−0.840821 | + | 0.541313i | \(0.817927\pi\) | |||||||
\(440\) | −0.349570 | + | 2.00594i | −0.0166651 | + | 0.0956296i | ||||
\(441\) | 13.7755 | − | 12.4203i | 0.655974 | − | 0.591441i | ||||
\(442\) | −14.1324 | + | 16.3754i | −0.672212 | + | 0.778897i | ||||
\(443\) | 4.04691 | − | 5.27404i | 0.192275 | − | 0.250577i | −0.687261 | − | 0.726411i | \(-0.741187\pi\) |
0.879535 | + | 0.475834i | \(0.157854\pi\) | |||||||
\(444\) | −4.85794 | − | 11.2208i | −0.230547 | − | 0.532517i | ||||
\(445\) | −0.225015 | − | 0.293245i | −0.0106667 | − | 0.0139012i | ||||
\(446\) | −0.632029 | − | 3.05066i | −0.0299274 | − | 0.144453i | ||||
\(447\) | −4.35179 | −0.205833 | ||||||||
\(448\) | −12.5162 | + | 17.0688i | −0.591334 | + | 0.806427i | ||||
\(449\) | −21.8843 | −1.03278 | −0.516392 | − | 0.856352i | \(-0.672725\pi\) | ||||
−0.516392 | + | 0.856352i | \(0.672725\pi\) | |||||||
\(450\) | −6.52515 | − | 31.4954i | −0.307598 | − | 1.48471i | ||||
\(451\) | 0.641675 | + | 0.836248i | 0.0302153 | + | 0.0393774i | ||||
\(452\) | −1.00942 | − | 2.33156i | −0.0474792 | − | 0.109667i | ||||
\(453\) | −7.64051 | + | 9.95731i | −0.358983 | + | 0.467835i | ||||
\(454\) | −5.27372 | + | 6.11070i | −0.247508 | + | 0.286789i | ||||
\(455\) | 10.6950 | + | 44.4820i | 0.501390 | + | 2.08535i | ||||
\(456\) | −12.4039 | − | 2.16160i | −0.580867 | − | 0.101226i | ||||
\(457\) | 5.04748 | − | 18.8375i | 0.236111 | − | 0.881179i | −0.741534 | − | 0.670916i | \(-0.765901\pi\) |
0.977645 | − | 0.210263i | \(-0.0674321\pi\) | |||||||
\(458\) | 30.8286 | + | 14.8999i | 1.44052 | + | 0.696227i | ||||
\(459\) | −1.42284 | + | 10.8076i | −0.0664125 | + | 0.504453i | ||||
\(460\) | 3.15176 | − | 5.66484i | 0.146951 | − | 0.264125i | ||||
\(461\) | 5.00740 | − | 12.0889i | 0.233218 | − | 0.563038i | −0.763335 | − | 0.646003i | \(-0.776439\pi\) |
0.996552 | + | 0.0829658i | \(0.0264392\pi\) | |||||||
\(462\) | −0.184339 | − | 0.391314i | −0.00857624 | − | 0.0182056i | ||||
\(463\) | −37.5037 | −1.74294 | −0.871472 | − | 0.490445i | \(-0.836834\pi\) | ||||
−0.871472 | + | 0.490445i | \(0.836834\pi\) | |||||||
\(464\) | 3.41370 | + | 7.55371i | 0.158477 | + | 0.350672i | ||||
\(465\) | −4.03792 | + | 6.99388i | −0.187254 | + | 0.324334i | ||||
\(466\) | −25.0590 | − | 1.44277i | −1.16083 | − | 0.0668350i | ||||
\(467\) | 2.46339 | + | 18.7113i | 0.113992 | + | 0.865856i | 0.948924 | + | 0.315504i | \(0.102173\pi\) |
−0.834932 | + | 0.550353i | \(0.814493\pi\) | |||||||
\(468\) | −24.1154 | − | 6.05306i | −1.11474 | − | 0.279803i | ||||
\(469\) | −29.5900 | + | 11.3699i | −1.36634 | + | 0.525015i | ||||
\(470\) | −9.49345 | + | 0.697961i | −0.437900 | + | 0.0321945i | ||||
\(471\) | 2.11500 | + | 0.566713i | 0.0974541 | + | 0.0261127i | ||||
\(472\) | 21.3656 | − | 11.1765i | 0.983431 | − | 0.514442i | ||||
\(473\) | 0.124849 | + | 0.465942i | 0.00574055 | + | 0.0214240i | ||||
\(474\) | 3.93487 | + | 0.750273i | 0.180735 | + | 0.0344612i | ||||
\(475\) | 59.6445 | − | 24.7055i | 2.73668 | − | 1.13357i | ||||
\(476\) | −6.75991 | + | 15.8706i | −0.309840 | + | 0.727427i | ||||
\(477\) | 9.14297 | − | 22.0731i | 0.418628 | − | 1.01066i | ||||
\(478\) | 3.63521 | + | 17.5463i | 0.166270 | + | 0.802549i | ||||
\(479\) | −9.26849 | + | 16.0535i | −0.423488 | + | 0.733503i | −0.996278 | − | 0.0861993i | \(-0.972528\pi\) |
0.572790 | + | 0.819702i | \(0.305861\pi\) | |||||||
\(480\) | −10.5238 | − | 6.44290i | −0.480344 | − | 0.294077i | ||||
\(481\) | 41.9710 | − | 24.2320i | 1.91372 | − | 1.10488i | ||||
\(482\) | 11.6475 | + | 3.85095i | 0.530529 | + | 0.175406i | ||||
\(483\) | 0.144411 | + | 1.36955i | 0.00657093 | + | 0.0623167i | ||||
\(484\) | −21.6880 | + | 3.20634i | −0.985816 | + | 0.145743i | ||||
\(485\) | 27.4819 | + | 21.0876i | 1.24789 | + | 0.957537i | ||||
\(486\) | −18.1160 | + | 6.31037i | −0.821758 | + | 0.286244i | ||||
\(487\) | −5.44957 | + | 1.46021i | −0.246944 | + | 0.0661684i | −0.380168 | − | 0.924918i | \(-0.624134\pi\) |
0.133224 | + | 0.991086i | \(0.457467\pi\) | |||||||
\(488\) | −13.2153 | + | 12.1583i | −0.598229 | + | 0.550379i | ||||
\(489\) | −6.04516 | + | 6.04516i | −0.273372 | + | 0.273372i | ||||
\(490\) | 18.9240 | + | 31.1939i | 0.854897 | + | 1.40920i | ||||
\(491\) | −27.2761 | + | 11.2981i | −1.23095 | + | 0.509878i | −0.900877 | − | 0.434075i | \(-0.857075\pi\) |
−0.330078 | + | 0.943954i | \(0.607075\pi\) | |||||||
\(492\) | −6.14307 | + | 1.75102i | −0.276951 | + | 0.0789421i | ||||
\(493\) | 4.11264 | + | 5.35969i | 0.185224 | + | 0.241388i | ||||
\(494\) | 2.86853 | − | 49.8225i | 0.129061 | − | 2.24162i | ||||
\(495\) | −1.65196 | + | 0.953758i | −0.0742499 | + | 0.0428682i | ||||
\(496\) | −4.28507 | − | 14.1756i | −0.192405 | − | 0.636501i | ||||
\(497\) | −8.85908 | − | 16.3033i | −0.397384 | − | 0.731304i | ||||
\(498\) | −4.06706 | + | 2.04595i | −0.182249 | + | 0.0916811i | ||||
\(499\) | −11.2114 | + | 1.47600i | −0.501890 | + | 0.0660750i | −0.377221 | − | 0.926123i | \(-0.623120\pi\) |
−0.124669 | + | 0.992198i | \(0.539787\pi\) | |||||||
\(500\) | 26.4105 | − | 0.419346i | 1.18111 | − | 0.0187537i | ||||
\(501\) | 7.05564 | + | 0.928892i | 0.315223 | + | 0.0414998i | ||||
\(502\) | 3.63478 | + | 5.34745i | 0.162228 | + | 0.238668i | ||||
\(503\) | −20.3957 | − | 20.3957i | −0.909400 | − | 0.909400i | 0.0868238 | − | 0.996224i | \(-0.472328\pi\) |
−0.996224 | + | 0.0868238i | \(0.972328\pi\) | |||||||
\(504\) | −19.7887 | + | 1.25671i | −0.881460 | + | 0.0559782i | ||||
\(505\) | 3.59086 | − | 3.59086i | 0.159791 | − | 0.159791i | ||||
\(506\) | −0.238639 | − | 0.0455019i | −0.0106088 | − | 0.00202280i | ||||
\(507\) | −0.696239 | + | 5.28846i | −0.0309211 | + | 0.234869i | ||||
\(508\) | 5.00229 | + | 11.5543i | 0.221941 | + | 0.512638i | ||||
\(509\) | −3.36741 | − | 25.5780i | −0.149258 | − | 1.13372i | −0.888035 | − | 0.459775i | \(-0.847930\pi\) |
0.738778 | − | 0.673949i | \(-0.235403\pi\) | |||||||
\(510\) | −9.54828 | − | 3.15690i | −0.422805 | − | 0.139790i | ||||
\(511\) | −0.538143 | + | 20.8183i | −0.0238060 | + | 0.920947i | ||||
\(512\) | 21.8209 | − | 5.98733i | 0.964357 | − | 0.264605i | ||||
\(513\) | −12.5750 | − | 21.7805i | −0.555198 | − | 0.961631i | ||||
\(514\) | −0.0483238 | − | 0.0542283i | −0.00213147 | − | 0.00239191i | ||||
\(515\) | −33.7591 | + | 25.9043i | −1.48760 | + | 1.14148i | ||||
\(516\) | −2.90394 | − | 0.335501i | −0.127839 | − | 0.0147696i | ||||
\(517\) | 0.136515 | + | 0.329577i | 0.00600393 | + | 0.0144948i | ||||
\(518\) | 25.9999 | − | 28.5976i | 1.14237 | − | 1.25651i | ||||
\(519\) | −3.04212 | − | 3.04212i | −0.133534 | − | 0.133534i | ||||
\(520\) | 20.5810 | − | 44.3673i | 0.902536 | − | 1.94564i | ||||
\(521\) | −0.409945 | − | 1.52994i | −0.0179600 | − | 0.0670277i | 0.956364 | − | 0.292177i | \(-0.0943797\pi\) |
−0.974324 | + | 0.225149i | \(0.927713\pi\) | |||||||
\(522\) | −3.37919 | + | 6.99170i | −0.147903 | + | 0.306019i | ||||
\(523\) | 12.4581 | − | 16.2357i | 0.544756 | − | 0.709939i | −0.437133 | − | 0.899397i | \(-0.644006\pi\) |
0.981889 | + | 0.189457i | \(0.0606729\pi\) | |||||||
\(524\) | −34.9184 | + | 20.9062i | −1.52542 | + | 0.913292i | ||||
\(525\) | −10.8712 | + | 7.90395i | −0.474457 | + | 0.344957i | ||||
\(526\) | 1.09155 | + | 2.16985i | 0.0475938 | + | 0.0946099i | ||||
\(527\) | −6.03469 | − | 10.4524i | −0.262875 | − | 0.455313i | ||||
\(528\) | −0.105443 | + | 0.450243i | −0.00458883 | + | 0.0195943i | ||||
\(529\) | −19.2488 | − | 11.1133i | −0.836903 | − | 0.483186i | ||||
\(530\) | 39.2825 | + | 25.7991i | 1.70632 | + | 1.12064i | ||||
\(531\) | 20.8693 | + | 8.64433i | 0.905649 | + | 0.375132i | ||||
\(532\) | −9.91711 | − | 38.5438i | −0.429961 | − | 1.67109i | ||||
\(533\) | −9.68895 | − | 23.3912i | −0.419675 | − | 1.01319i | ||||
\(534\) | −0.0471895 | − | 0.0694246i | −0.00204209 | − | 0.00300430i | ||||
\(535\) | −22.8964 | + | 6.13506i | −0.989896 | + | 0.265242i | ||||
\(536\) | 32.3398 | + | 10.1257i | 1.39687 | + | 0.437363i | ||||
\(537\) | −2.57593 | + | 9.61351i | −0.111160 | + | 0.414853i | ||||
\(538\) | 2.03269 | − | 2.35530i | 0.0876355 | − | 0.101544i | ||||
\(539\) | 0.887291 | − | 1.04030i | 0.0382183 | − | 0.0448089i | ||||
\(540\) | −3.60472 | − | 24.3827i | −0.155123 | − | 1.04926i | ||||
\(541\) | 33.4196 | − | 4.39978i | 1.43682 | − | 0.189161i | 0.628458 | − | 0.777844i | \(-0.283686\pi\) |
0.808365 | + | 0.588682i | \(0.200353\pi\) | |||||||
\(542\) | −4.33264 | − | 4.86202i | −0.186103 | − | 0.208842i | ||||
\(543\) | 0.821275 | + | 0.474163i | 0.0352443 | + | 0.0203483i | ||||
\(544\) | 16.2028 | − | 8.80627i | 0.694691 | − | 0.377566i | ||||
\(545\) | 25.8578i | 1.10763i | ||||||||
\(546\) | 1.84421 | + | 10.2250i | 0.0789247 | + | 0.437589i | ||||
\(547\) | −1.87204 | − | 0.775425i | −0.0800427 | − | 0.0331548i | 0.342303 | − | 0.939590i | \(-0.388793\pi\) |
−0.422346 | + | 0.906435i | \(0.638793\pi\) | |||||||
\(548\) | −34.3215 | + | 27.2123i | −1.46614 | + | 1.16245i | ||||
\(549\) | −16.6788 | − | 2.19580i | −0.711833 | − | 0.0937146i | ||||
\(550\) | −0.779948 | − | 2.23910i | −0.0332571 | − | 0.0954755i | ||||
\(551\) | −15.0555 | − | 4.03410i | −0.641385 | − | 0.171859i | ||||
\(552\) | 0.788544 | − | 1.24324i | 0.0335627 | − | 0.0529159i | ||||
\(553\) | 2.96003 | + | 12.3112i | 0.125873 | + | 0.523525i | ||||
\(554\) | 0.548067 | + | 7.45464i | 0.0232851 | + | 0.316718i | ||||
\(555\) | 17.8760 | + | 13.7168i | 0.758796 | + | 0.582244i | ||||
\(556\) | −27.2225 | − | 26.3715i | −1.15449 | − | 1.11840i | ||||
\(557\) | 20.3854 | − | 15.6423i | 0.863758 | − | 0.662785i | −0.0787771 | − | 0.996892i | \(-0.525102\pi\) |
0.942535 | + | 0.334108i | \(0.108435\pi\) | |||||||
\(558\) | 7.61579 | − | 11.5961i | 0.322402 | − | 0.490901i | ||||
\(559\) | − | 11.5866i | − | 0.490062i | ||||||
\(560\) | 4.86248 | − | 38.7001i | 0.205477 | − | 1.63538i | ||||
\(561\) | 0.376876i | 0.0159117i | ||||||||
\(562\) | 10.8922 | + | 7.15352i | 0.459460 | + | 0.301753i | ||||
\(563\) | 10.1022 | − | 7.75169i | 0.425757 | − | 0.326695i | −0.373558 | − | 0.927607i | \(-0.621862\pi\) |
0.799315 | + | 0.600912i | \(0.205196\pi\) | |||||||
\(564\) | −2.16156 | + | 0.0343212i | −0.0910179 | + | 0.00144518i | ||||
\(565\) | 3.71443 | + | 2.85018i | 0.156267 | + | 0.119908i | ||||
\(566\) | −17.2600 | + | 1.26896i | −0.725493 | + | 0.0533384i | ||||
\(567\) | −10.8766 | − | 11.4539i | −0.456775 | − | 0.481017i | ||||
\(568\) | −3.40543 | + | 19.5414i | −0.142889 | + | 0.819941i | ||||
\(569\) | −29.9072 | − | 8.01362i | −1.25378 | − | 0.335948i | −0.429982 | − | 0.902837i | \(-0.641480\pi\) |
−0.823794 | + | 0.566889i | \(0.808147\pi\) | |||||||
\(570\) | 21.9110 | − | 7.63229i | 0.917751 | − | 0.319682i | ||||
\(571\) | 16.4367 | + | 2.16393i | 0.687853 | + | 0.0905576i | 0.466348 | − | 0.884602i | \(-0.345570\pi\) |
0.221505 | + | 0.975159i | \(0.428903\pi\) | |||||||
\(572\) | −1.82075 | − | 0.210357i | −0.0761295 | − | 0.00879547i | ||||
\(573\) | −4.44805 | − | 1.84244i | −0.185820 | − | 0.0769692i | ||||
\(574\) | −13.0392 | − | 15.4166i | −0.544245 | − | 0.643478i | ||||
\(575\) | 7.54873i | 0.314804i | ||||||||
\(576\) | 17.4126 | + | 12.0890i | 0.725523 | + | 0.503707i | ||||
\(577\) | −30.5815 | − | 17.6562i | −1.27312 | − | 0.735038i | −0.297549 | − | 0.954707i | \(-0.596169\pi\) |
−0.975575 | + | 0.219668i | \(0.929502\pi\) | |||||||
\(578\) | −6.72817 | + | 5.99560i | −0.279855 | + | 0.249384i | ||||
\(579\) | −1.87421 | + | 0.246744i | −0.0778894 | + | 0.0102543i | ||||
\(580\) | −12.2648 | − | 9.10546i | −0.509270 | − | 0.378084i | ||||
\(581\) | −11.1868 | − | 9.05266i | −0.464107 | − | 0.375568i | ||||
\(582\) | 5.95567 | + | 5.13992i | 0.246870 | + | 0.213056i | ||||
\(583\) | 0.455840 | − | 1.70122i | 0.0188789 | − | 0.0704572i | ||||
\(584\) | 14.2764 | − | 17.0831i | 0.590760 | − | 0.706904i | ||||
\(585\) | 44.2569 | − | 11.8586i | 1.82980 | − | 0.490292i | ||||
\(586\) | 29.6112 | − | 20.1274i | 1.22323 | − | 0.831456i | ||||
\(587\) | −5.67657 | − | 13.7044i | −0.234297 | − | 0.565643i | 0.762377 | − | 0.647133i | \(-0.224032\pi\) |
−0.996674 | + | 0.0814899i | \(0.974032\pi\) | |||||||
\(588\) | 3.88341 | + | 7.31960i | 0.160149 | + | 0.301855i | ||||
\(589\) | 25.7263 | + | 10.6562i | 1.06003 | + | 0.439081i | ||||
\(590\) | −24.3920 | + | 37.1401i | −1.00420 | + | 1.52904i | ||||
\(591\) | 12.6329 | + | 7.29359i | 0.519647 | + | 0.300018i | ||||
\(592\) | −40.7731 | + | 6.69099i | −1.67577 | + | 0.274998i | ||||
\(593\) | −19.0770 | − | 33.0424i | −0.783400 | − | 1.35689i | −0.929950 | − | 0.367685i | \(-0.880150\pi\) |
0.146550 | − | 0.989203i | \(-0.453183\pi\) | |||||||
\(594\) | −0.825156 | + | 0.415097i | −0.0338566 | + | 0.0170317i | ||||
\(595\) | −3.33344 | − | 31.6133i | −0.136658 | − | 1.29602i | ||||
\(596\) | −3.58010 | + | 14.2631i | −0.146647 | + | 0.584241i | ||||
\(597\) | −5.21295 | + | 6.79365i | −0.213352 | + | 0.278045i | ||||
\(598\) | 5.25385 | + | 2.53926i | 0.214846 | + | 0.103838i | ||||
\(599\) | 5.33450 | + | 19.9086i | 0.217962 | + | 0.813444i | 0.985103 | + | 0.171966i | \(0.0550119\pi\) |
−0.767141 | + | 0.641478i | \(0.778321\pi\) | |||||||
\(600\) | 14.3564 | + | 0.598070i | 0.586096 | + | 0.0244161i | ||||
\(601\) | 11.0600 | + | 11.0600i | 0.451146 | + | 0.451146i | 0.895735 | − | 0.444589i | \(-0.146650\pi\) |
−0.444589 | + | 0.895735i | \(0.646650\pi\) | |||||||
\(602\) | −2.81306 | − | 8.80169i | −0.114652 | − | 0.358730i | ||||
\(603\) | 12.1489 | + | 29.3301i | 0.494742 | + | 1.19441i | ||||
\(604\) | 26.3498 | + | 33.2336i | 1.07216 | + | 1.35226i | ||||
\(605\) | 32.0520 | − | 24.5943i | 1.30310 | − | 0.999902i | ||||
\(606\) | 0.861029 | − | 0.767279i | 0.0349769 | − | 0.0311686i | ||||
\(607\) | −5.10135 | − | 8.83580i | −0.207057 | − | 0.358634i | 0.743729 | − | 0.668481i | \(-0.233055\pi\) |
−0.950786 | + | 0.309847i | \(0.899722\pi\) | |||||||
\(608\) | −17.2891 | + | 38.8760i | −0.701164 | + | 1.57663i | ||||
\(609\) | 3.24396 | + | 0.0838548i | 0.131452 | + | 0.00339797i | ||||
\(610\) | 10.3879 | − | 31.4189i | 0.420592 | − | 1.27211i | ||||
\(611\) | −1.11843 | − | 8.49530i | −0.0452467 | − | 0.343683i | ||||
\(612\) | 16.0640 | + | 6.35704i | 0.649347 | + | 0.256968i | ||||
\(613\) | −2.74075 | + | 20.8180i | −0.110698 | + | 0.840832i | 0.842545 | + | 0.538626i | \(0.181056\pi\) |
−0.953243 | + | 0.302206i | \(0.902277\pi\) | |||||||
\(614\) | 0.398670 | − | 2.09086i | 0.0160890 | − | 0.0843802i | ||||
\(615\) | 8.32353 | − | 8.32353i | 0.335637 | − | 0.335637i | ||||
\(616\) | −1.43419 | + | 0.282256i | −0.0577854 | + | 0.0113724i | ||||
\(617\) | 24.2795 | + | 24.2795i | 0.977456 | + | 0.977456i | 0.999751 | − | 0.0222958i | \(-0.00709757\pi\) |
−0.0222958 | + | 0.999751i | \(0.507098\pi\) | |||||||
\(618\) | −7.99233 | + | 5.43257i | −0.321499 | + | 0.218530i | ||||
\(619\) | −5.89248 | − | 0.775760i | −0.236839 | − | 0.0311804i | 0.0111723 | − | 0.999938i | \(-0.496444\pi\) |
−0.248011 | + | 0.968757i | \(0.579777\pi\) | |||||||
\(620\) | 19.6008 | + | 18.9881i | 0.787187 | + | 0.762580i | ||||
\(621\) | 2.91558 | − | 0.383843i | 0.116998 | − | 0.0154031i | ||||
\(622\) | 19.2387 | + | 38.2439i | 0.771402 | + | 1.53344i | ||||
\(623\) | 0.138566 | − | 0.226289i | 0.00555152 | − | 0.00906609i | ||||
\(624\) | 5.24548 | − | 9.79071i | 0.209987 | − | 0.391942i | ||||
\(625\) | −4.98648 | + | 2.87894i | −0.199459 | + | 0.115158i | ||||
\(626\) | 4.04007 | + | 0.232607i | 0.161474 | + | 0.00929686i | ||||
\(627\) | −0.529326 | − | 0.689832i | −0.0211393 | − | 0.0275492i | ||||
\(628\) | 3.59737 | − | 6.46577i | 0.143551 | − | 0.258012i | ||||
\(629\) | −31.1112 | + | 12.8867i | −1.24049 | + | 0.513826i | ||||
\(630\) | 30.7403 | − | 19.7532i | 1.22472 | − | 0.786987i | ||||
\(631\) | −2.39818 | + | 2.39818i | −0.0954700 | + | 0.0954700i | −0.753229 | − | 0.657759i | \(-0.771505\pi\) |
0.657759 | + | 0.753229i | \(0.271505\pi\) | |||||||
\(632\) | 5.69615 | − | 12.2794i | 0.226581 | − | 0.488450i | ||||
\(633\) | −10.2326 | + | 2.74182i | −0.406711 | + | 0.108978i | ||||
\(634\) | 2.48213 | + | 7.12578i | 0.0985781 | + | 0.283001i | ||||
\(635\) | −18.4072 | − | 14.1244i | −0.730469 | − | 0.560509i | ||||
\(636\) | 8.56973 | + | 6.36220i | 0.339812 | + | 0.252278i | ||||
\(637\) | −27.0536 | + | 18.6202i | −1.07190 | + | 0.737761i | ||||
\(638\) | −0.179699 | + | 0.543513i | −0.00711435 | + | 0.0215179i | ||||
\(639\) | −16.0930 | + | 9.29129i | −0.636629 | + | 0.367558i | ||||
\(640\) | −29.7744 | + | 29.1918i | −1.17694 | + | 1.15391i | ||||
\(641\) | 5.60572 | − | 9.70939i | 0.221413 | − | 0.383498i | −0.733825 | − | 0.679339i | \(-0.762267\pi\) |
0.955237 | + | 0.295841i | \(0.0955999\pi\) | |||||||
\(642\) | −5.27136 | + | 1.09211i | −0.208044 | + | 0.0431022i | ||||
\(643\) | 1.05264 | − | 2.54130i | 0.0415121 | − | 0.100219i | −0.901764 | − | 0.432230i | \(-0.857727\pi\) |
0.943276 | + | 0.332011i | \(0.107727\pi\) | |||||||
\(644\) | 4.60755 | + | 0.653378i | 0.181563 | + | 0.0257467i | ||||
\(645\) | 4.97688 | − | 2.06149i | 0.195965 | − | 0.0811712i | ||||
\(646\) | −6.49473 | + | 34.0622i | −0.255532 | + | 1.34016i | ||||
\(647\) | −7.76092 | − | 28.9642i | −0.305113 | − | 1.13870i | −0.932848 | − | 0.360271i | \(-0.882684\pi\) |
0.627734 | − | 0.778428i | \(-0.283982\pi\) | |||||||
\(648\) | 1.50532 | + | 16.8187i | 0.0591344 | + | 0.660700i | ||||
\(649\) | 1.60844 | + | 0.430979i | 0.0631366 | + | 0.0169174i | ||||
\(650\) | 4.17586 | + | 56.7988i | 0.163791 | + | 2.22783i | ||||
\(651\) | −5.72632 | − | 0.904986i | −0.224432 | − | 0.0354692i | ||||
\(652\) | 14.8400 | + | 24.7864i | 0.581181 | + | 0.970711i | ||||
\(653\) | −1.26276 | − | 9.59163i | −0.0494157 | − | 0.375349i | −0.998228 | − | 0.0595084i | \(-0.981047\pi\) |
0.948812 | − | 0.315841i | \(-0.102287\pi\) | |||||||
\(654\) | −0.337546 | + | 5.86271i | −0.0131991 | + | 0.229250i | ||||
\(655\) | 37.4992 | − | 64.9505i | 1.46522 | − | 2.53783i | ||||
\(656\) | 0.685297 | + | 21.5746i | 0.0267564 | + | 0.842348i | ||||
\(657\) | 20.8564 | 0.813685 | ||||||||
\(658\) | −2.91214 | − | 6.18186i | −0.113527 | − | 0.240994i | ||||
\(659\) | 8.00070 | − | 19.3154i | 0.311663 | − | 0.752421i | −0.687981 | − | 0.725729i | \(-0.741503\pi\) |
0.999644 | − | 0.0266921i | \(-0.00849737\pi\) | |||||||
\(660\) | −0.233593 | − | 0.819508i | −0.00909258 | − | 0.0318993i | ||||
\(661\) | −1.79532 | + | 13.6368i | −0.0698298 | + | 0.530410i | 0.920401 | + | 0.390975i | \(0.127862\pi\) |
−0.990231 | + | 0.139435i | \(0.955471\pi\) | |||||||
\(662\) | 9.87699 | − | 20.4359i | 0.383880 | − | 0.794265i | ||||
\(663\) | 2.34295 | − | 8.74402i | 0.0909928 | − | 0.339590i | ||||
\(664\) | 3.35981 | + | 15.0131i | 0.130386 | + | 0.582620i | ||||
\(665\) | 50.5027 | + | 53.1829i | 1.95841 | + | 2.06234i | ||||
\(666\) | −29.3037 | − | 25.2899i | −1.13549 | − | 0.979965i | ||||
\(667\) | 1.10947 | − | 1.44590i | 0.0429590 | − | 0.0559853i | ||||
\(668\) | 8.84895 | − | 22.3609i | 0.342376 | − | 0.865170i | ||||
\(669\) | 0.793720 | + | 1.03440i | 0.0306870 | + | 0.0399920i | ||||
\(670\) | −61.1496 | + | 12.6688i | −2.36241 | + | 0.489440i | ||||
\(671\) | −1.24012 | −0.0478743 | ||||||||
\(672\) | 1.60766 | − | 8.71097i | 0.0620166 | − | 0.336033i | ||||
\(673\) | 28.1723 | 1.08596 | 0.542982 | − | 0.839744i | \(-0.317295\pi\) | ||||
0.542982 | + | 0.839744i | \(0.317295\pi\) | |||||||
\(674\) | −35.9996 | + | 7.45832i | −1.38665 | + | 0.287284i | ||||
\(675\) | 17.4722 | + | 22.7703i | 0.672507 | + | 0.876428i | ||||
\(676\) | 16.7603 | + | 6.63261i | 0.644628 | + | 0.255100i | ||||
\(677\) | −5.06366 | + | 6.59909i | −0.194612 | + | 0.253624i | −0.880459 | − | 0.474122i | \(-0.842765\pi\) |
0.685847 | + | 0.727746i | \(0.259432\pi\) | |||||||
\(678\) | 0.804964 | + | 0.694708i | 0.0309145 | + | 0.0266801i | ||||
\(679\) | −7.05460 | + | 23.8454i | −0.270731 | + | 0.915101i | ||||
\(680\) | −18.2019 | + | 28.6977i | −0.698013 | + | 1.10051i | ||||
\(681\) | 0.874306 | − | 3.26295i | 0.0335035 | − | 0.125037i | ||||
\(682\) | 0.445033 | − | 0.920794i | 0.0170412 | − | 0.0352590i | ||||
\(683\) | 2.02274 | − | 15.3642i | 0.0773980 | − | 0.587896i | −0.908168 | − | 0.418606i | \(-0.862519\pi\) |
0.985566 | − | 0.169291i | \(-0.0541477\pi\) | |||||||
\(684\) | −38.3319 | + | 10.9261i | −1.46566 | + | 0.417770i | ||||
\(685\) | 30.8882 | − | 74.5707i | 1.18018 | − | 2.84920i | ||||
\(686\) | −16.0304 | + | 20.7130i | −0.612043 | + | 0.790824i | ||||
\(687\) | −14.3298 | −0.546716 | ||||||||
\(688\) | −3.48861 | + | 9.24177i | −0.133002 | + | 0.352339i | ||||
\(689\) | −21.1522 | + | 36.6366i | −0.805833 | + | 1.39574i | ||||
\(690\) | −0.155943 | + | 2.70851i | −0.00593663 | + | 0.103111i | ||||
\(691\) | −1.59354 | − | 12.1041i | −0.0606211 | − | 0.460463i | −0.994653 | − | 0.103273i | \(-0.967068\pi\) |
0.934032 | − | 0.357189i | \(-0.116265\pi\) | |||||||
\(692\) | −12.4733 | + | 7.46798i | −0.474164 | + | 0.283890i | ||||
\(693\) | −1.06447 | − | 0.861399i | −0.0404359 | − | 0.0327218i | ||||
\(694\) | −2.69477 | − | 36.6534i | −0.102292 | − | 1.39135i | ||||
\(695\) | 67.4643 | + | 18.0770i | 2.55907 | + | 0.685700i | ||||
\(696\) | −2.66194 | − | 2.22458i | −0.100900 | − | 0.0843225i | ||||
\(697\) | 4.55319 | + | 16.9927i | 0.172464 | + | 0.643646i | ||||
\(698\) | −2.85967 | + | 14.9978i | −0.108240 | + | 0.567675i | ||||
\(699\) | 9.70505 | − | 4.01996i | 0.367079 | − | 0.152049i | ||||
\(700\) | 16.9621 | + | 42.1330i | 0.641106 | + | 1.59248i | ||||
\(701\) | −10.0224 | + | 24.1963i | −0.378542 | + | 0.913881i | 0.613698 | + | 0.789541i | \(0.289681\pi\) |
−0.992240 | + | 0.124340i | \(0.960319\pi\) | |||||||
\(702\) | 21.7253 | − | 4.50100i | 0.819968 | − | 0.169879i | ||||
\(703\) | 38.8463 | − | 67.2837i | 1.46512 | − | 2.53765i | ||||
\(704\) | 1.38894 | + | 0.715996i | 0.0523477 | + | 0.0269851i | ||||
\(705\) | 3.45006 | − | 1.99189i | 0.129937 | − | 0.0750189i | ||||
\(706\) | 4.55999 | − | 13.7921i | 0.171618 | − | 0.519071i | ||||
\(707\) | 3.33084 | + | 1.48164i | 0.125269 | + | 0.0557229i | ||||
\(708\) | −6.01521 | + | 8.10235i | −0.226066 | + | 0.304505i | ||||
\(709\) | −26.5977 | − | 20.4091i | −0.998898 | − | 0.766482i | −0.0264620 | − | 0.999650i | \(-0.508424\pi\) |
−0.972436 | + | 0.233168i | \(0.925091\pi\) | |||||||
\(710\) | −12.0241 | − | 34.5191i | −0.451256 | − | 1.29548i | ||||
\(711\) | 12.2489 | − | 3.28207i | 0.459368 | − | 0.123087i | ||||
\(712\) | −0.266363 | + | 0.0975515i | −0.00998238 | + | 0.00365590i | ||||
\(713\) | −2.30233 | + | 2.30233i | −0.0862228 | + | 0.0862228i | ||||
\(714\) | −0.343110 | − | 7.21117i | −0.0128406 | − | 0.269871i | ||||
\(715\) | 3.12047 | − | 1.29254i | 0.116699 | − | 0.0483383i | ||||
\(716\) | 29.3894 | + | 16.3515i | 1.09833 | + | 0.611083i | ||||
\(717\) | −4.56519 | − | 5.94948i | −0.170490 | − | 0.222187i | ||||
\(718\) | 46.3659 | + | 2.66952i | 1.73036 | + | 0.0996255i | ||||
\(719\) | 22.7929 | − | 13.1595i | 0.850031 | − | 0.490766i | −0.0106300 | − | 0.999943i | \(-0.503384\pi\) |
0.860661 | + | 0.509178i | \(0.170050\pi\) | |||||||
\(720\) | −38.8709 | − | 3.86658i | −1.44863 | − | 0.144099i | ||||
\(721\) | −26.0510 | − | 15.9520i | −0.970189 | − | 0.594084i | ||||
\(722\) | −23.8775 | − | 47.4652i | −0.888629 | − | 1.76647i | ||||
\(723\) | −5.09013 | + | 0.670129i | −0.189304 | + | 0.0249224i | ||||
\(724\) | 2.22973 | − | 2.30167i | 0.0828671 | − | 0.0855411i | ||||
\(725\) | 17.6354 | + | 2.32174i | 0.654961 | + | 0.0862273i | ||||
\(726\) | 7.58818 | − | 5.15785i | 0.281624 | − | 0.191426i | ||||
\(727\) | 32.3640 | + | 32.3640i | 1.20031 | + | 1.20031i | 0.974071 | + | 0.226244i | \(0.0726447\pi\) |
0.226244 | + | 0.974071i | \(0.427355\pi\) | |||||||
\(728\) | 35.0299 | + | 2.36736i | 1.29830 | + | 0.0877403i | ||||
\(729\) | −6.98747 | + | 6.98747i | −0.258795 | + | 0.258795i | ||||
\(730\) | −7.68413 | + | 40.3001i | −0.284402 | + | 1.49157i | ||||
\(731\) | −1.05084 | + | 7.98192i | −0.0388667 | + | 0.295222i | ||||
\(732\) | 2.76537 | − | 6.98798i | 0.102211 | − | 0.258283i | ||||
\(733\) | 5.72060 | + | 43.4522i | 0.211295 | + | 1.60495i | 0.687885 | + | 0.725820i | \(0.258539\pi\) |
−0.476590 | + | 0.879126i | \(0.658127\pi\) | |||||||
\(734\) | 2.52854 | − | 7.64776i | 0.0933300 | − | 0.282284i | ||||
\(735\) | −12.8115 | − | 8.30763i | −0.472558 | − | 0.306431i | ||||
\(736\) | −3.42606 | − | 3.60726i | −0.126286 | − | 0.132965i | ||||
\(737\) | 1.17013 | + | 2.02673i | 0.0431025 | + | 0.0746557i | ||||
\(738\) | −15.0971 | + | 13.4533i | −0.555731 | + | 0.495222i | ||||
\(739\) | 15.5293 | − | 11.9160i | 0.571253 | − | 0.438338i | −0.282313 | − | 0.959322i | \(-0.591102\pi\) |
0.853566 | + | 0.520984i | \(0.174435\pi\) | |||||||
\(740\) | 59.6633 | − | 47.3049i | 2.19327 | − | 1.73896i | ||||
\(741\) | 7.99254 | + | 19.2957i | 0.293613 | + | 0.708845i | ||||
\(742\) | −7.17327 | + | 32.9662i | −0.263339 | + | 1.21023i | ||||
\(743\) | 6.32677 | + | 6.32677i | 0.232107 | + | 0.232107i | 0.813572 | − | 0.581465i | \(-0.197520\pi\) |
−0.581465 | + | 0.813572i | \(0.697520\pi\) | |||||||
\(744\) | 4.19621 | + | 4.56102i | 0.153840 | + | 0.167215i | ||||
\(745\) | −7.01380 | − | 26.1759i | −0.256966 | − | 0.959009i | ||||
\(746\) | −3.26158 | − | 1.57637i | −0.119415 | − | 0.0577149i | ||||
\(747\) | −8.77366 | + | 11.4341i | −0.321012 | + | 0.418350i | ||||
\(748\) | 1.23522 | + | 0.310045i | 0.0451643 | + | 0.0113364i | ||||
\(749\) | −10.0066 | − | 13.7632i | −0.365633 | − | 0.502896i | ||||
\(750\) | −9.87519 | + | 4.96775i | −0.360591 | + | 0.181396i | ||||
\(751\) | 20.1360 | + | 34.8765i | 0.734772 | + | 1.27266i | 0.954823 | + | 0.297174i | \(0.0960441\pi\) |
−0.220051 | + | 0.975488i | \(0.570623\pi\) | |||||||
\(752\) | −1.66576 | + | 7.11280i | −0.0607441 | + | 0.259377i | ||||
\(753\) | −2.34345 | − | 1.35299i | −0.0853999 | − | 0.0493057i | ||||
\(754\) | 7.54815 | − | 11.4931i | 0.274887 | − | 0.418553i | ||||
\(755\) | −72.2070 | − | 29.9091i | −2.62788 | − | 1.08850i | ||||
\(756\) | 15.4107 | − | 8.69373i | 0.560481 | − | 0.316188i | ||||
\(757\) | −12.9976 | − | 31.3791i | −0.472408 | − | 1.14049i | −0.963096 | − | 0.269158i | \(-0.913255\pi\) |
0.490688 | − | 0.871335i | \(-0.336745\pi\) | |||||||
\(758\) | −22.8202 | + | 15.5114i | −0.828865 | + | 0.563398i | ||||
\(759\) | 0.0982064 | − | 0.0263143i | 0.00356466 | − | 0.000955149i | ||||
\(760\) | −6.98953 | − | 78.0929i | −0.253537 | − | 2.83273i | ||||
\(761\) | −1.20598 | + | 4.50078i | −0.0437167 | + | 0.163153i | −0.984333 | − | 0.176318i | \(-0.943581\pi\) |
0.940617 | + | 0.339471i | \(0.110248\pi\) | |||||||
\(762\) | −3.98908 | − | 3.44270i | −0.144509 | − | 0.124716i | ||||
\(763\) | −17.3273 | + | 6.65802i | −0.627291 | + | 0.241036i | ||||
\(764\) | −9.69796 | + | 13.0629i | −0.350860 | + | 0.472600i | ||||
\(765\) | −31.5637 | + | 4.15544i | −1.14119 | + | 0.150240i | ||||
\(766\) | −19.6335 | + | 17.4958i | −0.709389 | + | 0.632150i | ||||
\(767\) | −34.6385 | − | 19.9986i | −1.25072 | − | 0.722106i | ||||
\(768\) | −7.13181 | + | 6.22995i | −0.257347 | + | 0.224804i | ||||
\(769\) | 17.4876i | 0.630619i | 0.948989 | + | 0.315310i | \(0.102108\pi\) | ||||
−0.948989 | + | 0.315310i | \(0.897892\pi\) | |||||||
\(770\) | 2.05664 | − | 1.73947i | 0.0741160 | − | 0.0626863i | ||||
\(771\) | 0.0280843 | + | 0.0116329i | 0.00101143 | + | 0.000418949i | ||||
\(772\) | −0.733146 | + | 6.34577i | −0.0263865 | + | 0.228389i | ||||
\(773\) | −28.5620 | − | 3.76026i | −1.02730 | − | 0.135247i | −0.402008 | − | 0.915636i | \(-0.631688\pi\) |
−0.625294 | + | 0.780389i | \(0.715021\pi\) | |||||||
\(774\) | −8.73911 | + | 3.04411i | −0.314121 | + | 0.109418i | ||||
\(775\) | −30.6953 | − | 8.22477i | −1.10261 | − | 0.295442i | ||||
\(776\) | 21.7458 | − | 15.2914i | 0.780629 | − | 0.548930i | ||||
\(777\) | −4.58879 | + | 15.5106i | −0.164622 | + | 0.556441i | ||||
\(778\) | 5.08104 | − | 0.373560i | 0.182164 | − | 0.0133928i | ||||
\(779\) | −32.2006 | − | 24.7084i | −1.15371 | − | 0.885270i | ||||
\(780\) | 0.324957 | + | 20.4659i | 0.0116353 | + | 0.732795i | ||||
\(781\) | −1.08678 | + | 0.833914i | −0.0388880 | + | 0.0298398i | ||||
\(782\) | −3.38904 | − | 2.22577i | −0.121192 | − | 0.0795935i | ||||
\(783\) | − | 6.92943i | − | 0.247638i | ||||||
\(784\) | 27.1850 | − | 6.70639i | 0.970893 | − | 0.239514i | ||||
\(785\) | 13.6350i | 0.486654i | ||||||||
\(786\) | 9.35003 | − | 14.2367i | 0.333505 | − | 0.507806i | ||||
\(787\) | −32.1084 | + | 24.6377i | −1.14454 | + | 0.878237i | −0.993893 | − | 0.110350i | \(-0.964803\pi\) |
−0.150649 | + | 0.988587i | \(0.548136\pi\) | |||||||
\(788\) | 34.2977 | − | 35.4044i | 1.22180 | − | 1.26123i | ||||
\(789\) | −0.806460 | − | 0.618819i | −0.0287107 | − | 0.0220305i | ||||
\(790\) | 1.82898 | + | 24.8773i | 0.0650723 | + | 0.885095i | ||||
\(791\) | −0.953496 | + | 3.22293i | −0.0339024 | + | 0.114594i | ||||
\(792\) | 0.319699 | + | 1.42855i | 0.0113600 | + | 0.0507615i | ||||
\(793\) | 28.7724 | + | 7.70955i | 1.02174 | + | 0.273774i | ||||
\(794\) | −6.55689 | − | 18.8237i | −0.232695 | − | 0.668029i | ||||
\(795\) | −19.5002 | − | 2.56725i | −0.691600 | − | 0.0910509i | ||||
\(796\) | 17.9779 | + | 22.6746i | 0.637208 | + | 0.803678i | ||||
\(797\) | 30.2358 | + | 12.5241i | 1.07101 | + | 0.443625i | 0.847345 | − | 0.531042i | \(-0.178199\pi\) |
0.223660 | + | 0.974667i | \(0.428199\pi\) | |||||||
\(798\) | 10.7562 | + | 12.7174i | 0.380765 | + | 0.450190i | ||||
\(799\) | 5.95378i | 0.210629i | ||||||||
\(800\) | 13.7708 | − | 46.5614i | 0.486870 | − | 1.64619i | ||||
\(801\) | −0.230138 | − | 0.132870i | −0.00813153 | − | 0.00469474i | ||||
\(802\) | 10.8289 | + | 12.1520i | 0.382380 | + | 0.429101i | ||||
\(803\) | 1.52432 | − | 0.200680i | 0.0537920 | − | 0.00708185i | ||||
\(804\) | −14.0298 | + | 2.07416i | −0.494792 | + | 0.0731498i | ||||
\(805\) | −8.00504 | + | 3.07593i | −0.282140 | + | 0.108412i | ||||
\(806\) | −16.0497 | + | 18.5970i | −0.565327 | + | 0.655050i | ||||
\(807\) | −0.336991 | + | 1.25767i | −0.0118626 | + | 0.0442720i | ||||
\(808\) | −1.80644 | − | 3.45327i | −0.0635503 | − | 0.121486i | ||||
\(809\) | −21.7114 | + | 5.81756i | −0.763333 | + | 0.204535i | −0.619424 | − | 0.785056i | \(-0.712634\pi\) |
−0.143909 | + | 0.989591i | \(0.545967\pi\) | |||||||
\(810\) | −17.4926 | − | 25.7348i | −0.614626 | − | 0.904230i | ||||
\(811\) | 0.866622 | + | 2.09221i | 0.0304312 | + | 0.0734675i | 0.938365 | − | 0.345647i | \(-0.112341\pi\) |
−0.907933 | + | 0.419115i | \(0.862341\pi\) | |||||||
\(812\) | 2.94355 | − | 10.5632i | 0.103298 | − | 0.370696i | ||||
\(813\) | 2.51800 | + | 1.04299i | 0.0883100 | + | 0.0365792i | ||||
\(814\) | −2.38504 | − | 1.56639i | −0.0835956 | − | 0.0549020i | ||||
\(815\) | −46.1044 | − | 26.6184i | −1.61497 | − | 0.932402i | ||||
\(816\) | −4.50153 | + | 6.26901i | −0.157585 | + | 0.219459i | ||||
\(817\) | −9.28724 | − | 16.0860i | −0.324919 | − | 0.562777i | ||||
\(818\) | −6.89662 | − | 13.7095i | −0.241135 | − | 0.479342i | ||||
\(819\) | 19.3420 | + | 26.6031i | 0.675864 | + | 0.929589i | ||||
\(820\) | −20.4331 | − | 34.1282i | −0.713555 | − | 1.19181i | ||||
\(821\) | −26.6553 | + | 34.7378i | −0.930276 | + | 1.21236i | 0.0466784 | + | 0.998910i | \(0.485136\pi\) |
−0.976954 | + | 0.213449i | \(0.931530\pi\) | |||||||
\(822\) | 7.97670 | − | 16.5041i | 0.278219 | − | 0.575648i | ||||
\(823\) | 9.34890 | + | 34.8906i | 0.325882 | + | 1.21621i | 0.913422 | + | 0.407014i | \(0.133430\pi\) |
−0.587540 | + | 0.809195i | \(0.699903\pi\) | |||||||
\(824\) | 11.2304 | + | 30.6643i | 0.391228 | + | 1.06824i | ||||
\(825\) | 0.701660 | + | 0.701660i | 0.0244287 | + | 0.0244287i | ||||
\(826\) | −31.1683 | − | 6.78205i | −1.08448 | − | 0.235978i | ||||
\(827\) | 8.76859 | + | 21.1692i | 0.304914 | + | 0.736127i | 0.999854 | + | 0.0170597i | \(0.00543055\pi\) |
−0.694941 | + | 0.719067i | \(0.744569\pi\) | |||||||
\(828\) | 0.534895 | − | 4.62981i | 0.0185889 | − | 0.160897i | ||||
\(829\) | 34.7510 | − | 26.6654i | 1.20695 | − | 0.926126i | 0.208301 | − | 0.978065i | \(-0.433207\pi\) |
0.998650 | + | 0.0519385i | \(0.0165400\pi\) | |||||||
\(830\) | −18.8612 | − | 21.1657i | −0.654681 | − | 0.734673i | ||||
\(831\) | −1.56411 | − | 2.70912i | −0.0542585 | − | 0.0939785i | ||||
\(832\) | −27.7741 | − | 25.2468i | −0.962893 | − | 0.875275i | ||||
\(833\) | 20.3258 | − | 10.3737i | 0.704246 | − | 0.359428i | ||||
\(834\) | 15.0602 | + | 4.97927i | 0.521491 | + | 0.172418i | ||||
\(835\) | 5.78434 | + | 43.9364i | 0.200175 | + | 1.52048i | ||||
\(836\) | −2.69641 | + | 1.16738i | −0.0932572 | + | 0.0403747i | ||||
\(837\) | −1.61587 | + | 12.2738i | −0.0558527 | + | 0.424243i | ||||
\(838\) | −4.16949 | − | 0.795009i | −0.144033 | − | 0.0274631i | ||||
\(839\) | 37.8886 | − | 37.8886i | 1.30806 | − | 1.30806i | 0.385248 | − | 0.922813i | \(-0.374116\pi\) |
0.922813 | − | 0.385248i | \(-0.125884\pi\) | |||||||
\(840\) | 5.21566 | + | 15.4679i | 0.179957 | + | 0.533692i | ||||
\(841\) | 17.4694 | + | 17.4694i | 0.602394 | + | 0.602394i | ||||
\(842\) | 16.0068 | + | 23.5490i | 0.551631 | + | 0.811554i | ||||
\(843\) | −5.40698 | − | 0.711842i | −0.186226 | − | 0.0245172i | ||||
\(844\) | 0.568328 | + | 35.7934i | 0.0195627 | + | 1.23206i | ||||
\(845\) | −32.9320 | + | 4.33558i | −1.13289 | + | 0.149148i | ||||
\(846\) | −6.11367 | + | 3.07550i | −0.210192 | + | 0.105738i | ||||
\(847\) | 24.7336 | + | 15.1454i | 0.849858 | + | 0.520401i | ||||
\(848\) | 27.9024 | − | 22.8536i | 0.958172 | − | 0.784794i | ||||
\(849\) | 6.27254 | − | 3.62145i | 0.215273 | − | 0.124288i | ||||
\(850\) | 2.27461 | − | 39.5069i | 0.0780186 | − | 1.35508i | ||||
\(851\) | 5.53027 | + | 7.20718i | 0.189575 | + | 0.247059i | ||||
\(852\) | −2.27561 | − | 7.98346i | −0.0779609 | − | 0.273509i | ||||
\(853\) | −18.0841 | + | 7.49066i | −0.619186 | + | 0.256475i | −0.670151 | − | 0.742225i | \(-0.733770\pi\) |
0.0509644 | + | 0.998700i | \(0.483770\pi\) | |||||||
\(854\) | 23.7285 | − | 1.12901i | 0.811974 | − | 0.0386340i | ||||
\(855\) | 51.9376 | − | 51.9376i | 1.77623 | − | 1.77623i | ||||
\(856\) | −0.757172 | + | 18.1755i | −0.0258796 | + | 0.621226i | ||||
\(857\) | 22.2379 | − | 5.95862i | 0.759631 | − | 0.203543i | 0.141845 | − | 0.989889i | \(-0.454696\pi\) |
0.617786 | + | 0.786346i | \(0.288030\pi\) | |||||||
\(858\) | 0.724375 | − | 0.252323i | 0.0247298 | − | 0.00861415i | ||||
\(859\) | 0.714878 | + | 0.548545i | 0.0243913 | + | 0.0187161i | 0.620885 | − | 0.783902i | \(-0.286773\pi\) |
−0.596494 | + | 0.802618i | \(0.703440\pi\) | |||||||
\(860\) | −2.66227 | − | 18.0078i | −0.0907826 | − | 0.614062i | ||||
\(861\) | 7.72080 | + | 3.43441i | 0.263124 | + | 0.117044i | ||||
\(862\) | −1.10169 | − | 0.364245i | −0.0375236 | − | 0.0124062i | ||||
\(863\) | 26.9099 | − | 15.5365i | 0.916024 | − | 0.528867i | 0.0336599 | − | 0.999433i | \(-0.489284\pi\) |
0.882365 | + | 0.470566i | \(0.155950\pi\) | |||||||
\(864\) | −18.6838 | − | 2.95115i | −0.635636 | − | 0.100400i | ||||
\(865\) | 13.3952 | − | 23.2012i | 0.455451 | − | 0.788865i | ||||
\(866\) | 5.50525 | + | 26.5726i | 0.187076 | + | 0.902973i | ||||
\(867\) | 1.44331 | − | 3.48446i | 0.0490174 | − | 0.118339i | ||||
\(868\) | −7.67700 | + | 18.0237i | −0.260574 | + | 0.611764i | ||||
\(869\) | 0.863646 | − | 0.357734i | 0.0292972 | − | 0.0121353i | ||||
\(870\) | 6.27967 | + | 1.19736i | 0.212901 | + | 0.0405944i | ||||
\(871\) | −14.5489 | − | 54.2973i | −0.492972 | − | 1.83979i | ||||
\(872\) | 18.9376 | + | 5.92941i | 0.641306 | + | 0.200795i | ||||
\(873\) | 24.0556 | + | 6.44568i | 0.814159 | + | 0.218153i | ||||
\(874\) | 9.32940 | − | 0.685899i | 0.315572 | − | 0.0232009i | ||||
\(875\) | −27.1626 | − | 21.9807i | −0.918262 | − | 0.743083i | ||||
\(876\) | −2.26829 | + | 9.03691i | −0.0766385 | + | 0.305329i | ||||
\(877\) | −4.47664 | − | 34.0035i | −0.151165 | − | 1.14822i | −0.883892 | − | 0.467692i | \(-0.845086\pi\) |
0.732726 | − | 0.680524i | \(-0.238248\pi\) | |||||||
\(878\) | −43.8104 | − | 2.52238i | −1.47853 | − | 0.0851263i | ||||
\(879\) | −7.49211 | + | 12.9767i | −0.252702 | + | 0.437694i | ||||
\(880\) | −2.87814 | + | 0.0914212i | −0.0970219 | + | 0.00308181i | ||||
\(881\) | −8.67844 | −0.292384 | −0.146192 | − | 0.989256i | \(-0.546702\pi\) | ||||
−0.146192 | + | 0.989256i | \(0.546702\pi\) | |||||||
\(882\) | 21.1519 | + | 15.5130i | 0.712220 | + | 0.522348i | ||||
\(883\) | −3.72606 | + | 8.99549i | −0.125392 | + | 0.302722i | −0.974092 | − | 0.226151i | \(-0.927386\pi\) |
0.848700 | + | 0.528874i | \(0.177386\pi\) | |||||||
\(884\) | −26.7313 | − | 14.8726i | −0.899072 | − | 0.500219i | ||||
\(885\) | 2.42723 | − | 18.4367i | 0.0815906 | − | 0.619742i | ||||
\(886\) | 8.46459 | + | 4.09106i | 0.284373 | + | 0.137442i | ||||
\(887\) | 5.31881 | − | 19.8501i | 0.178588 | − | 0.666501i | −0.817324 | − | 0.576178i | \(-0.804544\pi\) |
0.995913 | − | 0.0903226i | \(-0.0287898\pi\) | |||||||
\(888\) | 14.1449 | − | 9.94657i | 0.474673 | − | 0.333785i | ||||
\(889\) | 4.72515 | − | 15.9715i | 0.158476 | − | 0.535668i | ||||
\(890\) | 0.341531 | − | 0.395735i | 0.0114481 | − | 0.0132651i | ||||
\(891\) | −0.709892 | + | 0.925149i | −0.0237823 | + | 0.0309937i | ||||
\(892\) | 4.04324 | − | 1.75047i | 0.135378 | − | 0.0586102i | ||||
\(893\) | −8.36214 | − | 10.8977i | −0.279828 | − | 0.364679i | ||||
\(894\) | −1.24854 | − | 6.02639i | −0.0417573 | − | 0.201553i | ||||
\(895\) | −61.9765 | −2.07164 | ||||||||
\(896\) | −27.2279 | − | 12.4354i | −0.909621 | − | 0.415438i | ||||
\(897\) | −2.44211 | −0.0815396 | ||||||||
\(898\) | −6.27864 | − | 30.3055i | −0.209521 | − | 1.01131i | ||||
\(899\) | 4.67058 | + | 6.08682i | 0.155773 | + | 0.203007i | ||||
\(900\) | 41.7429 | − | 18.0721i | 1.39143 | − | 0.602404i | ||||
\(901\) | 17.8943 | − | 23.3203i | 0.596145 | − | 0.776911i | ||||
\(902\) | −0.973943 | + | 1.12852i | −0.0324288 | + | 0.0375755i | ||||
\(903\) | 2.66289 | + | 2.80421i | 0.0886153 | + | 0.0933182i | ||||
\(904\) | 2.93915 | − | 2.06678i | 0.0977547 | − | 0.0687401i | ||||
\(905\) | −1.52842 | + | 5.70414i | −0.0508064 | + | 0.189612i | ||||
\(906\) | −15.9810 | − | 7.72386i | −0.530934 | − | 0.256608i | ||||
\(907\) | 1.82736 | − | 13.8802i | 0.0606765 | − | 0.460884i | −0.933954 | − | 0.357393i | \(-0.883666\pi\) |
0.994630 | − | 0.103491i | \(-0.0330011\pi\) | |||||||
\(908\) | −9.97517 | − | 5.54991i | −0.331038 | − | 0.184180i | ||||
\(909\) | 1.39716 | − | 3.37305i | 0.0463410 | − | 0.111877i | ||||
\(910\) | −58.5306 | + | 27.5725i | −1.94027 | + | 0.914018i | ||||
\(911\) | −29.8181 | −0.987917 | −0.493958 | − | 0.869486i | \(-0.664450\pi\) | ||||
−0.493958 | + | 0.869486i | \(0.664450\pi\) | |||||||
\(912\) | −0.565311 | − | 17.7972i | −0.0187193 | − | 0.589324i | ||||
\(913\) | −0.531217 | + | 0.920094i | −0.0175807 | + | 0.0304507i | ||||
\(914\) | 27.5343 | + | 1.58529i | 0.910755 | + | 0.0524367i | ||||
\(915\) | 1.80766 | + | 13.7305i | 0.0597593 | + | 0.453917i | ||||
\(916\) | −11.7887 | + | 46.9664i | −0.389510 | + | 1.55181i | ||||
\(917\) | 53.1790 | + | 8.40439i | 1.75612 | + | 0.277538i | ||||
\(918\) | −15.3746 | + | 1.13034i | −0.507437 | + | 0.0373069i | ||||
\(919\) | −17.5490 | − | 4.70223i | −0.578887 | − | 0.155112i | −0.0425176 | − | 0.999096i | \(-0.513538\pi\) |
−0.536369 | + | 0.843983i | \(0.680205\pi\) | |||||||
\(920\) | 8.74895 | + | 2.73932i | 0.288444 | + | 0.0903128i | ||||
\(921\) | 0.230556 | + | 0.860446i | 0.00759708 | + | 0.0283527i | ||||
\(922\) | 18.1775 | + | 3.46595i | 0.598642 | + | 0.114145i | ||||
\(923\) | 30.3989 | − | 12.5916i | 1.00059 | − | 0.414459i | ||||
\(924\) | 0.489006 | − | 0.367543i | 0.0160871 | − | 0.0120913i | ||||
\(925\) | −33.9300 | + | 81.9143i | −1.11561 | + | 2.69333i | ||||
\(926\) | −10.7599 | − | 51.9353i | −0.353591 | − | 1.70670i | ||||
\(927\) | −15.2963 | + | 26.4940i | −0.502398 | + | 0.870178i | ||||
\(928\) | −9.48103 | + | 6.89448i | −0.311230 | + | 0.226323i | ||||
\(929\) | −44.1260 | + | 25.4762i | −1.44773 | + | 0.835846i | −0.998346 | − | 0.0574938i | \(-0.981689\pi\) |
−0.449382 | + | 0.893340i | \(0.648356\pi\) | |||||||
\(930\) | −10.8437 | − | 3.58518i | −0.355578 | − | 0.117563i | ||||
\(931\) | −22.6342 | + | 47.5357i | −0.741805 | + | 1.55792i | ||||
\(932\) | −5.19149 | − | 35.1157i | −0.170053 | − | 1.15025i | ||||
\(933\) | −14.2140 | − | 10.9068i | −0.465345 | − | 0.357072i | ||||
\(934\) | −25.2048 | + | 8.77962i | −0.824726 | + | 0.287278i | ||||
\(935\) | −2.26689 | + | 0.607412i | −0.0741354 | + | 0.0198645i | ||||
\(936\) | 1.46355 | − | 35.1318i | 0.0478378 | − | 1.14832i | ||||
\(937\) | −21.8870 | + | 21.8870i | −0.715016 | + | 0.715016i | −0.967580 | − | 0.252564i | \(-0.918726\pi\) |
0.252564 | + | 0.967580i | \(0.418726\pi\) | |||||||
\(938\) | −24.2346 | − | 37.7143i | −0.791287 | − | 1.23142i | ||||
\(939\) | −1.56467 | + | 0.648109i | −0.0510612 | + | 0.0211503i | ||||
\(940\) | −3.69022 | − | 12.9463i | −0.120362 | − | 0.422263i | ||||
\(941\) | −15.5346 | − | 20.2450i | −0.506412 | − | 0.659969i | 0.468265 | − | 0.883588i | \(-0.344879\pi\) |
−0.974677 | + | 0.223619i | \(0.928213\pi\) | |||||||
\(942\) | −0.177991 | + | 3.09146i | −0.00579925 | + | 0.100725i | ||||
\(943\) | 4.11005 | − | 2.37294i | 0.133842 | − | 0.0772735i | ||||
\(944\) | 21.6072 | + | 26.3806i | 0.703253 | + | 0.858617i | ||||
\(945\) | −17.0271 | + | 27.8068i | −0.553893 | + | 0.904554i | ||||
\(946\) | −0.609420 | + | 0.306571i | −0.0198139 | + | 0.00996747i | ||||
\(947\) | 15.5424 | − | 2.04619i | 0.505060 | − | 0.0664924i | 0.126309 | − | 0.991991i | \(-0.459687\pi\) |
0.378751 | + | 0.925499i | \(0.376354\pi\) | |||||||
\(948\) | 0.0899376 | + | 5.66429i | 0.00292104 | + | 0.183968i | ||||
\(949\) | −36.6138 | − | 4.82029i | −1.18853 | − | 0.156473i | ||||
\(950\) | 51.3245 | + | 75.5079i | 1.66519 | + | 2.44980i | ||||
\(951\) | −2.23299 | − | 2.23299i | −0.0724095 | − | 0.0724095i | ||||
\(952\) | −23.9171 | − | 4.80787i | −0.775158 | − | 0.155824i | ||||
\(953\) | 35.1047 | − | 35.1047i | 1.13715 | − | 1.13715i | 0.148196 | − | 0.988958i | \(-0.452653\pi\) |
0.988958 | − | 0.148196i | \(-0.0473467\pi\) | |||||||
\(954\) | 33.1901 | + | 6.32844i | 1.07457 | + | 0.204891i | ||||
\(955\) | 3.91328 | − | 29.7243i | 0.126631 | − | 0.961856i | ||||
\(956\) | −23.2553 | + | 10.0681i | −0.752129 | + | 0.325626i | ||||
\(957\) | −0.0312705 | − | 0.237523i | −0.00101083 | − | 0.00767804i | ||||
\(958\) | −24.8901 | − | 8.22929i | −0.804163 | − | 0.265876i | ||||
\(959\) | 57.9232 | + | 1.49729i | 1.87044 | + | 0.0483499i | ||||
\(960\) | 5.90287 | − | 16.4219i | 0.190514 | − | 0.530015i | ||||
\(961\) | 8.64661 | + | 14.9764i | 0.278923 | + | 0.483109i | ||||
\(962\) | 45.5982 | + | 51.1696i | 1.47014 | + | 1.64977i | ||||
\(963\) | −13.5202 | + | 10.3744i | −0.435682 | + | 0.334311i | ||||
\(964\) | −1.99114 | + | 17.2344i | −0.0641303 | + | 0.555082i | ||||
\(965\) | −4.50482 | − | 10.8756i | −0.145015 | − | 0.350098i | ||||
\(966\) | −1.85513 | + | 0.592907i | −0.0596878 | + | 0.0190765i | ||||
\(967\) | 4.13197 | + | 4.13197i | 0.132875 | + | 0.132875i | 0.770416 | − | 0.637541i | \(-0.220048\pi\) |
−0.637541 | + | 0.770416i | \(0.720048\pi\) | |||||||
\(968\) | −10.6625 | − | 29.1137i | −0.342705 | − | 0.935750i | ||||
\(969\) | −3.75599 | − | 14.0175i | −0.120660 | − | 0.450308i | ||||
\(970\) | −21.3176 | + | 44.1071i | −0.684467 | + | 1.41619i | ||||
\(971\) | 23.8366 | − | 31.0644i | 0.764952 | − | 0.996905i | −0.234739 | − | 0.972058i | \(-0.575424\pi\) |
0.999691 | − | 0.0248466i | \(-0.00790973\pi\) | |||||||
\(972\) | −13.9361 | − | 23.2767i | −0.447002 | − | 0.746600i | ||||
\(973\) | 5.25771 | + | 49.8625i | 0.168554 | + | 1.59852i | ||||
\(974\) | −3.58560 | − | 7.12767i | −0.114890 | − | 0.228385i | ||||
\(975\) | −11.9174 | − | 20.6415i | −0.381661 | − | 0.661057i | ||||
\(976\) | −20.6283 | − | 14.8124i | −0.660297 | − | 0.474134i | ||||
\(977\) | 26.3775 | + | 15.2291i | 0.843892 | + | 0.487221i | 0.858585 | − | 0.512671i | \(-0.171344\pi\) |
−0.0146935 | + | 0.999892i | \(0.504677\pi\) | |||||||
\(978\) | −10.1057 | − | 6.63701i | −0.323146 | − | 0.212228i | ||||
\(979\) | −0.0180984 | − | 0.00749662i | −0.000578429 | − | 0.000239593i | ||||
\(980\) | −37.7682 | + | 35.1556i | −1.20646 | + | 1.12300i | ||||
\(981\) | 7.11417 | + | 17.1751i | 0.227138 | + | 0.548359i | ||||
\(982\) | −23.4713 | − | 34.5307i | −0.748999 | − | 1.10192i | ||||
\(983\) | −32.2311 | + | 8.63630i | −1.02801 | + | 0.275455i | −0.733138 | − | 0.680080i | \(-0.761945\pi\) |
−0.294875 | + | 0.955536i | \(0.595278\pi\) | |||||||
\(984\) | −4.18728 | − | 8.00459i | −0.133486 | − | 0.255177i | ||||
\(985\) | −23.5102 | + | 87.7413i | −0.749097 | + | 2.79567i | ||||
\(986\) | −6.24221 | + | 7.23291i | −0.198793 | + | 0.230343i | ||||
\(987\) | 2.22311 | + | 1.79900i | 0.0707624 | + | 0.0572628i | ||||
\(988\) | 69.8175 | − | 10.3218i | 2.22119 | − | 0.328380i | ||||
\(989\) | 2.15330 | − | 0.283487i | 0.0684710 | − | 0.00901438i | ||||
\(990\) | −1.79472 | − | 2.01401i | −0.0570399 | − | 0.0640093i | ||||
\(991\) | −14.8667 | − | 8.58331i | −0.472257 | − | 0.272658i | 0.244927 | − | 0.969542i | \(-0.421236\pi\) |
−0.717184 | + | 0.696884i | \(0.754569\pi\) | |||||||
\(992\) | 18.4010 | − | 10.0010i | 0.584233 | − | 0.317532i | ||||
\(993\) | 9.49907i | 0.301444i | ||||||||
\(994\) | 20.0353 | − | 16.9456i | 0.635480 | − | 0.537481i | ||||
\(995\) | −49.2652 | − | 20.4063i | −1.56181 | − | 0.646924i | ||||
\(996\) | −4.00008 | − | 5.04510i | −0.126747 | − | 0.159860i | ||||
\(997\) | 11.9613 | + | 1.57473i | 0.378817 | + | 0.0498723i | 0.317531 | − | 0.948248i | \(-0.397146\pi\) |
0.0612866 | + | 0.998120i | \(0.480480\pi\) | |||||||
\(998\) | −5.26054 | − | 15.1021i | −0.166519 | − | 0.478049i | ||||
\(999\) | 33.3634 | + | 8.93969i | 1.05557 | + | 0.282839i |
(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 | 224.2.be.a.115.17 | yes | 240 | |
4.3 | odd | 2 | 896.2.bi.a.367.18 | 240 | |||
7.5 | odd | 6 | inner | 224.2.be.a.19.24 | ✓ | 240 | |
28.19 | even | 6 | 896.2.bi.a.495.18 | 240 | |||
32.5 | even | 8 | 896.2.bi.a.143.18 | 240 | |||
32.27 | odd | 8 | inner | 224.2.be.a.59.24 | yes | 240 | |
224.5 | odd | 24 | 896.2.bi.a.271.18 | 240 | |||
224.187 | even | 24 | inner | 224.2.be.a.187.17 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.be.a.19.24 | ✓ | 240 | 7.5 | odd | 6 | inner | |
224.2.be.a.59.24 | yes | 240 | 32.27 | odd | 8 | inner | |
224.2.be.a.115.17 | yes | 240 | 1.1 | even | 1 | trivial | |
224.2.be.a.187.17 | yes | 240 | 224.187 | even | 24 | inner | |
896.2.bi.a.143.18 | 240 | 32.5 | even | 8 | |||
896.2.bi.a.271.18 | 240 | 224.5 | odd | 24 | |||
896.2.bi.a.367.18 | 240 | 4.3 | odd | 2 | |||
896.2.bi.a.495.18 | 240 | 28.19 | even | 6 |