Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 131.23 | ||
Character | \(\chi\) | \(=\) | 300.131 |
Dual form | 300.2.n.a.71.23 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.446933 | + | 1.34173i | −0.316030 | + | 0.948749i | ||||
\(3\) | 1.72317 | + | 0.175164i | 0.994873 | + | 0.101131i | ||||
\(4\) | −1.60050 | − | 1.19933i | −0.800251 | − | 0.599666i | ||||
\(5\) | −2.16063 | − | 0.575913i | −0.966263 | − | 0.257556i | ||||
\(6\) | −1.00517 | + | 2.23375i | −0.410357 | + | 0.911925i | ||||
\(7\) | 4.70514i | 1.77837i | 0.457543 | + | 0.889187i | \(0.348729\pi\) | ||||
−0.457543 | + | 0.889187i | \(0.651271\pi\) | |||||||
\(8\) | 2.32450 | − | 1.61143i | 0.821835 | − | 0.569725i | ||||
\(9\) | 2.93863 | + | 0.603677i | 0.979545 | + | 0.201226i | ||||
\(10\) | 1.73838 | − | 2.64160i | 0.549724 | − | 0.835346i | ||||
\(11\) | 0.0957905 | + | 0.294813i | 0.0288819 | + | 0.0888895i | 0.964458 | − | 0.264235i | \(-0.0851193\pi\) |
−0.935576 | + | 0.353124i | \(0.885119\pi\) | |||||||
\(12\) | −2.54786 | − | 2.34700i | −0.735503 | − | 0.677522i | ||||
\(13\) | −1.61206 | + | 4.96142i | −0.447106 | + | 1.37605i | 0.433051 | + | 0.901369i | \(0.357437\pi\) |
−0.880158 | + | 0.474682i | \(0.842563\pi\) | |||||||
\(14\) | −6.31304 | − | 2.10288i | −1.68723 | − | 0.562019i | ||||
\(15\) | −3.62226 | − | 1.37086i | −0.935262 | − | 0.353955i | ||||
\(16\) | 1.12321 | + | 3.83906i | 0.280802 | + | 0.959766i | ||||
\(17\) | −2.69217 | + | 3.70546i | −0.652947 | + | 0.898705i | −0.999222 | − | 0.0394280i | \(-0.987446\pi\) |
0.346275 | + | 0.938133i | \(0.387446\pi\) | |||||||
\(18\) | −2.12335 | + | 3.67306i | −0.500478 | + | 0.865749i | ||||
\(19\) | 2.88355 | − | 3.96886i | 0.661531 | − | 0.910519i | −0.338000 | − | 0.941146i | \(-0.609750\pi\) |
0.999531 | + | 0.0306269i | \(0.00975038\pi\) | |||||||
\(20\) | 2.76738 | + | 3.51306i | 0.618805 | + | 0.785544i | ||||
\(21\) | −0.824173 | + | 8.10775i | −0.179849 | + | 1.76926i | ||||
\(22\) | −0.438373 | − | 0.00323626i | −0.0934614 | − | 0.000689973i | ||||
\(23\) | −0.222611 | − | 0.685126i | −0.0464176 | − | 0.142859i | 0.925162 | − | 0.379573i | \(-0.123929\pi\) |
−0.971579 | + | 0.236715i | \(0.923929\pi\) | |||||||
\(24\) | 4.28778 | − | 2.36959i | 0.875239 | − | 0.483691i | ||||
\(25\) | 4.33665 | + | 2.48867i | 0.867330 | + | 0.497734i | ||||
\(26\) | −5.93643 | − | 4.38039i | −1.16423 | − | 0.859064i | ||||
\(27\) | 4.95803 | + | 1.55498i | 0.954173 | + | 0.299256i | ||||
\(28\) | 5.64302 | − | 7.53058i | 1.06643 | − | 1.42315i | ||||
\(29\) | −2.34652 | − | 3.22971i | −0.435738 | − | 0.599742i | 0.533520 | − | 0.845787i | \(-0.320869\pi\) |
−0.969258 | + | 0.246045i | \(0.920869\pi\) | |||||||
\(30\) | 3.45824 | − | 4.24742i | 0.631385 | − | 0.775469i | ||||
\(31\) | 2.15258 | − | 2.96277i | 0.386614 | − | 0.532129i | −0.570707 | − | 0.821154i | \(-0.693331\pi\) |
0.957322 | + | 0.289024i | \(0.0933309\pi\) | |||||||
\(32\) | −5.65300 | − | 0.208756i | −0.999319 | − | 0.0369032i | ||||
\(33\) | 0.113423 | + | 0.524792i | 0.0197444 | + | 0.0913546i | ||||
\(34\) | −3.76852 | − | 5.26827i | −0.646295 | − | 0.903501i | ||||
\(35\) | 2.70975 | − | 10.1661i | 0.458031 | − | 1.71838i | ||||
\(36\) | −3.97928 | − | 4.49058i | −0.663214 | − | 0.748430i | ||||
\(37\) | 1.08397 | − | 3.33612i | 0.178204 | − | 0.548454i | −0.821562 | − | 0.570120i | \(-0.806897\pi\) |
0.999765 | + | 0.0216654i | \(0.00689684\pi\) | |||||||
\(38\) | 4.03640 | + | 5.64277i | 0.654791 | + | 0.915378i | ||||
\(39\) | −3.64693 | + | 8.26700i | −0.583976 | + | 1.32378i | ||||
\(40\) | −5.95043 | + | 2.14299i | −0.940845 | + | 0.338836i | ||||
\(41\) | 6.26489 | + | 2.03559i | 0.978411 | + | 0.317905i | 0.754207 | − | 0.656637i | \(-0.228022\pi\) |
0.224204 | + | 0.974542i | \(0.428022\pi\) | |||||||
\(42\) | −10.5101 | − | 4.72945i | −1.62174 | − | 0.729769i | ||||
\(43\) | − | 2.91650i | − | 0.444762i | −0.974960 | − | 0.222381i | \(-0.928617\pi\) | ||
0.974960 | − | 0.222381i | \(-0.0713829\pi\) | |||||||
\(44\) | 0.200265 | − | 0.586733i | 0.0301912 | − | 0.0884533i | ||||
\(45\) | −6.00164 | − | 2.99672i | −0.894671 | − | 0.446725i | ||||
\(46\) | 1.01875 | + | 0.00752085i | 0.150206 | + | 0.00110889i | ||||
\(47\) | 3.23343 | − | 2.34923i | 0.471645 | − | 0.342670i | −0.326437 | − | 0.945219i | \(-0.605848\pi\) |
0.798082 | + | 0.602549i | \(0.205848\pi\) | |||||||
\(48\) | 1.26301 | + | 6.81211i | 0.182300 | + | 0.983243i | ||||
\(49\) | −15.1383 | −2.16262 | ||||||||
\(50\) | −5.27733 | + | 4.70636i | −0.746327 | + | 0.665580i | ||||
\(51\) | −5.28814 | + | 5.91356i | −0.740487 | + | 0.828064i | ||||
\(52\) | 8.53050 | − | 6.00736i | 1.18297 | − | 0.833072i | ||||
\(53\) | 1.65522 | + | 2.27822i | 0.227362 | + | 0.312937i | 0.907423 | − | 0.420218i | \(-0.138047\pi\) |
−0.680061 | + | 0.733156i | \(0.738047\pi\) | |||||||
\(54\) | −4.30228 | + | 5.95738i | −0.585466 | + | 0.810697i | ||||
\(55\) | −0.0371813 | − | 0.692149i | −0.00501353 | − | 0.0933293i | ||||
\(56\) | 7.58198 | + | 10.9371i | 1.01319 | + | 1.46153i | ||||
\(57\) | 5.66405 | − | 6.33393i | 0.750221 | − | 0.838950i | ||||
\(58\) | 5.38215 | − | 1.70494i | 0.706711 | − | 0.223870i | ||||
\(59\) | 0.546184 | − | 1.68098i | 0.0711071 | − | 0.218845i | −0.909187 | − | 0.416387i | \(-0.863296\pi\) |
0.980294 | + | 0.197542i | \(0.0632960\pi\) | |||||||
\(60\) | 4.15331 | + | 6.53835i | 0.536190 | + | 0.844098i | ||||
\(61\) | −1.48848 | − | 4.58108i | −0.190581 | − | 0.586547i | 0.809419 | − | 0.587231i | \(-0.199782\pi\) |
−1.00000 | 0.000684623i | \(0.999782\pi\) | ||||||||
\(62\) | 3.01319 | + | 4.21235i | 0.382676 | + | 0.534969i | ||||
\(63\) | −2.84038 | + | 13.8267i | −0.357854 | + | 1.74200i | ||||
\(64\) | 2.80661 | − | 7.49153i | 0.350826 | − | 0.936441i | ||||
\(65\) | 6.34042 | − | 9.79139i | 0.786433 | − | 1.21447i | ||||
\(66\) | −0.754824 | − | 0.0823639i | −0.0929124 | − | 0.0101383i | ||||
\(67\) | 6.49353 | − | 8.93758i | 0.793312 | − | 1.09190i | −0.200376 | − | 0.979719i | \(-0.564216\pi\) |
0.993688 | − | 0.112181i | \(-0.0357835\pi\) | |||||||
\(68\) | 8.75289 | − | 2.70178i | 1.06144 | − | 0.327639i | ||||
\(69\) | −0.263587 | − | 1.21958i | −0.0317321 | − | 0.146820i | ||||
\(70\) | 12.4291 | + | 8.17932i | 1.48556 | + | 0.977615i | ||||
\(71\) | 0.155207 | − | 0.112765i | 0.0184197 | − | 0.0133827i | −0.578537 | − | 0.815656i | \(-0.696376\pi\) |
0.596957 | + | 0.802273i | \(0.296376\pi\) | |||||||
\(72\) | 7.80364 | − | 3.33215i | 0.919668 | − | 0.392697i | ||||
\(73\) | 0.448177 | + | 1.37935i | 0.0524552 | + | 0.161440i | 0.973852 | − | 0.227182i | \(-0.0729511\pi\) |
−0.921397 | + | 0.388622i | \(0.872951\pi\) | |||||||
\(74\) | 3.99172 | + | 2.94542i | 0.464028 | + | 0.342398i | ||||
\(75\) | 7.03686 | + | 5.04803i | 0.812546 | + | 0.582896i | ||||
\(76\) | −9.37510 | + | 2.89384i | −1.07540 | + | 0.331946i | ||||
\(77\) | −1.38714 | + | 0.450708i | −0.158079 | + | 0.0513629i | ||||
\(78\) | −9.46219 | − | 8.58800i | −1.07138 | − | 0.972400i | ||||
\(79\) | 6.71671 | + | 9.24476i | 0.755689 | + | 1.04012i | 0.997560 | + | 0.0698089i | \(0.0222389\pi\) |
−0.241871 | + | 0.970308i | \(0.577761\pi\) | |||||||
\(80\) | −0.215874 | − | 8.94167i | −0.0241355 | − | 0.999709i | ||||
\(81\) | 8.27115 | + | 3.54797i | 0.919017 | + | 0.394219i | ||||
\(82\) | −5.53120 | + | 7.49604i | −0.610819 | + | 0.827800i | ||||
\(83\) | −3.47327 | − | 2.52348i | −0.381241 | − | 0.276988i | 0.380616 | − | 0.924733i | \(-0.375712\pi\) |
−0.761857 | + | 0.647746i | \(0.775712\pi\) | |||||||
\(84\) | 11.0430 | − | 11.9880i | 1.20489 | − | 1.30800i | ||||
\(85\) | 7.95081 | − | 6.45566i | 0.862386 | − | 0.700215i | ||||
\(86\) | 3.91317 | + | 1.30348i | 0.421968 | + | 0.140558i | ||||
\(87\) | −3.47773 | − | 5.97637i | −0.372851 | − | 0.640734i | ||||
\(88\) | 0.697735 | + | 0.530934i | 0.0743788 | + | 0.0565977i | ||||
\(89\) | −4.46604 | + | 1.45110i | −0.473399 | + | 0.153817i | −0.535993 | − | 0.844222i | \(-0.680063\pi\) |
0.0625938 | + | 0.998039i | \(0.480063\pi\) | |||||||
\(90\) | 6.70313 | − | 6.71327i | 0.706572 | − | 0.707641i | ||||
\(91\) | −23.3442 | − | 7.58498i | −2.44713 | − | 0.795122i | ||||
\(92\) | −0.465404 | + | 1.36353i | −0.0485217 | + | 0.142158i | ||||
\(93\) | 4.22823 | − | 4.72830i | 0.438447 | − | 0.490302i | ||||
\(94\) | 1.70691 | + | 5.38836i | 0.176054 | + | 0.555767i | ||||
\(95\) | −8.51600 | + | 6.91457i | −0.873723 | + | 0.709420i | ||||
\(96\) | −9.70452 | − | 1.34993i | −0.990463 | − | 0.137776i | ||||
\(97\) | 2.12219 | − | 1.54186i | 0.215476 | − | 0.156552i | −0.474812 | − | 0.880087i | \(-0.657484\pi\) |
0.690288 | + | 0.723535i | \(0.257484\pi\) | |||||||
\(98\) | 6.76581 | − | 20.3116i | 0.683451 | − | 2.05178i | ||||
\(99\) | 0.103522 | + | 0.924174i | 0.0104043 | + | 0.0928830i | ||||
\(100\) | −3.95607 | − | 9.18420i | −0.395607 | − | 0.918420i | ||||
\(101\) | 14.8019i | 1.47284i | 0.676523 | + | 0.736422i | \(0.263486\pi\) | ||||
−0.676523 | + | 0.736422i | \(0.736514\pi\) | |||||||
\(102\) | −5.57098 | − | 9.73824i | −0.551610 | − | 0.964229i | ||||
\(103\) | 5.60809 | + | 7.71887i | 0.552581 | + | 0.760563i | 0.990360 | − | 0.138520i | \(-0.0442345\pi\) |
−0.437778 | + | 0.899083i | \(0.644235\pi\) | |||||||
\(104\) | 4.24772 | + | 14.1306i | 0.416524 | + | 1.38561i | ||||
\(105\) | 6.45009 | − | 17.0432i | 0.629465 | − | 1.66325i | ||||
\(106\) | −3.79654 | + | 1.20266i | −0.368752 | + | 0.116812i | ||||
\(107\) | 19.8617 | 1.92010 | 0.960050 | − | 0.279829i | \(-0.0902777\pi\) | ||||
0.960050 | + | 0.279829i | \(0.0902777\pi\) | |||||||
\(108\) | −6.07039 | − | 8.43507i | −0.584124 | − | 0.811665i | ||||
\(109\) | −0.673867 | + | 2.07395i | −0.0645447 | + | 0.198648i | −0.978128 | − | 0.208003i | \(-0.933304\pi\) |
0.913583 | + | 0.406651i | \(0.133304\pi\) | |||||||
\(110\) | 0.945297 | + | 0.259457i | 0.0901306 | + | 0.0247382i | ||||
\(111\) | 2.45223 | − | 5.55883i | 0.232756 | − | 0.527620i | ||||
\(112\) | −18.0633 | + | 5.28485i | −1.70682 | + | 0.499372i | ||||
\(113\) | −13.5868 | − | 4.41462i | −1.27814 | − | 0.415293i | −0.410215 | − | 0.911989i | \(-0.634546\pi\) |
−0.867925 | + | 0.496696i | \(0.834546\pi\) | |||||||
\(114\) | 5.96700 | + | 10.4305i | 0.558861 | + | 0.976905i | ||||
\(115\) | 0.0864069 | + | 1.60851i | 0.00805748 | + | 0.149994i | ||||
\(116\) | −0.117881 | + | 7.98341i | −0.0109449 | + | 0.741241i | ||||
\(117\) | −7.73236 | + | 13.6066i | −0.714857 | + | 1.25793i | ||||
\(118\) | 2.01132 | + | 1.48412i | 0.185157 | + | 0.136624i | ||||
\(119\) | −17.4347 | − | 12.6670i | −1.59823 | − | 1.16119i | ||||
\(120\) | −10.6290 | + | 2.65043i | −0.970289 | + | 0.241950i | ||||
\(121\) | 8.82145 | − | 6.40916i | 0.801950 | − | 0.582651i | ||||
\(122\) | 6.81184 | + | 0.0502880i | 0.616715 | + | 0.00455286i | ||||
\(123\) | 10.4389 | + | 4.60505i | 0.941245 | + | 0.415223i | ||||
\(124\) | −6.99855 | + | 2.16026i | −0.628488 | + | 0.193997i | ||||
\(125\) | −7.93664 | − | 7.87463i | −0.709874 | − | 0.704328i | ||||
\(126\) | −17.2823 | − | 9.99064i | −1.53963 | − | 0.890037i | ||||
\(127\) | 1.31545 | − | 0.427417i | 0.116728 | − | 0.0379271i | −0.250071 | − | 0.968228i | \(-0.580454\pi\) |
0.366798 | + | 0.930300i | \(0.380454\pi\) | |||||||
\(128\) | 8.79727 | + | 7.11393i | 0.777576 | + | 0.628789i | ||||
\(129\) | 0.510867 | − | 5.02562i | 0.0449793 | − | 0.442482i | ||||
\(130\) | 10.3037 | + | 12.8833i | 0.903694 | + | 1.12994i | ||||
\(131\) | 9.17495 | + | 6.66599i | 0.801619 | + | 0.582410i | 0.911389 | − | 0.411547i | \(-0.135011\pi\) |
−0.109770 | + | 0.993957i | \(0.535011\pi\) | |||||||
\(132\) | 0.447866 | − | 0.975962i | 0.0389818 | − | 0.0849466i | ||||
\(133\) | 18.6740 | + | 13.5675i | 1.61924 | + | 1.17645i | ||||
\(134\) | 9.08969 | + | 12.7071i | 0.785229 | + | 1.09773i | ||||
\(135\) | −9.81693 | − | 6.21513i | −0.844907 | − | 0.534914i | ||||
\(136\) | −0.286884 | + | 12.9516i | −0.0246001 | + | 1.11059i | ||||
\(137\) | −14.3339 | − | 4.65738i | −1.22463 | − | 0.397906i | −0.375864 | − | 0.926675i | \(-0.622654\pi\) |
−0.848766 | + | 0.528768i | \(0.822654\pi\) | |||||||
\(138\) | 1.75416 | + | 0.191408i | 0.149324 | + | 0.0162938i | ||||
\(139\) | −5.56825 | + | 1.80923i | −0.472292 | + | 0.153457i | −0.535486 | − | 0.844544i | \(-0.679871\pi\) |
0.0631934 | + | 0.998001i | \(0.479871\pi\) | |||||||
\(140\) | −16.5294 | + | 13.0209i | −1.39699 | + | 1.10047i | ||||
\(141\) | 5.98326 | − | 3.48174i | 0.503881 | − | 0.293215i | ||||
\(142\) | 0.0819330 | + | 0.258645i | 0.00687566 | + | 0.0217050i | ||||
\(143\) | −1.61711 | −0.135230 | ||||||||
\(144\) | 0.983151 | + | 11.9597i | 0.0819292 | + | 0.996638i | ||||
\(145\) | 3.20993 | + | 8.32960i | 0.266570 | + | 0.691736i | ||||
\(146\) | −2.05102 | − | 0.0151416i | −0.169744 | − | 0.00125312i | ||||
\(147\) | −26.0859 | − | 2.65169i | −2.15153 | − | 0.218708i | ||||
\(148\) | −5.73601 | + | 4.03942i | −0.471497 | + | 0.332038i | ||||
\(149\) | − | 9.39100i | − | 0.769340i | −0.923054 | − | 0.384670i | \(-0.874315\pi\) | ||
0.923054 | − | 0.384670i | \(-0.125685\pi\) | |||||||
\(150\) | −9.91812 | + | 7.18546i | −0.809811 | + | 0.586690i | ||||
\(151\) | − | 6.95387i | − | 0.565898i | −0.959135 | − | 0.282949i | \(-0.908687\pi\) | ||
0.959135 | − | 0.282949i | \(-0.0913127\pi\) | |||||||
\(152\) | 0.307278 | − | 13.8722i | 0.0249235 | − | 1.12519i | ||||
\(153\) | −10.1482 | + | 9.26378i | −0.820434 | + | 0.748932i | ||||
\(154\) | 0.0152271 | − | 2.06260i | 0.00122703 | − | 0.166209i | ||||
\(155\) | −6.35722 | + | 5.16175i | −0.510625 | + | 0.414602i | ||||
\(156\) | 15.7518 | − | 8.85748i | 1.26115 | − | 0.709166i | ||||
\(157\) | 2.71621 | 0.216777 | 0.108388 | − | 0.994109i | \(-0.465431\pi\) | ||||
0.108388 | + | 0.994109i | \(0.465431\pi\) | |||||||
\(158\) | −15.4059 | + | 4.88025i | −1.22563 | + | 0.388252i | ||||
\(159\) | 2.45317 | + | 4.21570i | 0.194549 | + | 0.334326i | ||||
\(160\) | 12.0938 | + | 3.70668i | 0.956101 | + | 0.293039i | ||||
\(161\) | 3.22361 | − | 1.04741i | 0.254056 | − | 0.0825478i | ||||
\(162\) | −8.45708 | + | 9.51198i | −0.664451 | + | 0.747332i | ||||
\(163\) | −10.2857 | − | 3.34203i | −0.805640 | − | 0.261768i | −0.122890 | − | 0.992420i | \(-0.539216\pi\) |
−0.682750 | + | 0.730652i | \(0.739216\pi\) | |||||||
\(164\) | −7.58562 | − | 10.7716i | −0.592337 | − | 0.841123i | ||||
\(165\) | 0.0571701 | − | 1.19920i | 0.00445069 | − | 0.0933579i | ||||
\(166\) | 4.93816 | − | 3.53238i | 0.383275 | − | 0.274166i | ||||
\(167\) | −1.39974 | − | 1.01697i | −0.108315 | − | 0.0786954i | 0.532309 | − | 0.846550i | \(-0.321324\pi\) |
−0.640624 | + | 0.767855i | \(0.721324\pi\) | |||||||
\(168\) | 11.1493 | + | 20.1746i | 0.860184 | + | 1.55650i | ||||
\(169\) | −11.4997 | − | 8.35505i | −0.884595 | − | 0.642696i | ||||
\(170\) | 5.10831 | + | 13.5531i | 0.391789 | + | 1.03948i | ||||
\(171\) | 10.8696 | − | 9.92230i | 0.831219 | − | 0.758778i | ||||
\(172\) | −3.49785 | + | 4.66786i | −0.266708 | + | 0.355921i | ||||
\(173\) | −4.58197 | + | 1.48877i | −0.348360 | + | 0.113189i | −0.477971 | − | 0.878376i | \(-0.658627\pi\) |
0.129610 | + | 0.991565i | \(0.458627\pi\) | |||||||
\(174\) | 9.57301 | − | 1.99515i | 0.725728 | − | 0.151252i | ||||
\(175\) | −11.7095 | + | 20.4045i | −0.885158 | + | 1.54244i | ||||
\(176\) | −1.02421 | + | 0.698883i | −0.0772029 | + | 0.0526803i | ||||
\(177\) | 1.23562 | − | 2.80095i | 0.0928746 | − | 0.210532i | ||||
\(178\) | 0.0490252 | − | 6.64079i | 0.00367460 | − | 0.497748i | ||||
\(179\) | −16.3643 | + | 11.8894i | −1.22313 | + | 0.888653i | −0.996356 | − | 0.0852959i | \(-0.972816\pi\) |
−0.226770 | + | 0.973948i | \(0.572816\pi\) | |||||||
\(180\) | 6.01157 | + | 11.9942i | 0.448076 | + | 0.893995i | ||||
\(181\) | −16.9412 | − | 12.3085i | −1.25923 | − | 0.914884i | −0.260510 | − | 0.965471i | \(-0.583891\pi\) |
−0.998720 | + | 0.0505873i | \(0.983891\pi\) | |||||||
\(182\) | 20.6103 | − | 27.9317i | 1.52774 | − | 2.07043i | ||||
\(183\) | −1.76247 | − | 8.15470i | −0.130285 | − | 0.602813i | ||||
\(184\) | −1.62149 | − | 1.23385i | −0.119538 | − | 0.0909609i | ||||
\(185\) | −4.26337 | + | 6.58384i | −0.313449 | + | 0.484054i | ||||
\(186\) | 4.45439 | + | 7.78640i | 0.326612 | + | 0.570926i | ||||
\(187\) | −1.35030 | − | 0.438739i | −0.0987438 | − | 0.0320838i | ||||
\(188\) | −7.99262 | − | 0.118017i | −0.582922 | − | 0.00860724i | ||||
\(189\) | −7.31640 | + | 23.3282i | −0.532190 | + | 1.69688i | ||||
\(190\) | −5.47143 | − | 14.5166i | −0.396940 | − | 1.05314i | ||||
\(191\) | 3.06767 | − | 9.44133i | 0.221969 | − | 0.683150i | −0.776616 | − | 0.629974i | \(-0.783065\pi\) |
0.998585 | − | 0.0531763i | \(-0.0169345\pi\) | |||||||
\(192\) | 6.14851 | − | 12.4176i | 0.443731 | − | 0.896160i | ||||
\(193\) | −14.8673 | −1.07017 | −0.535086 | − | 0.844797i | \(-0.679721\pi\) | ||||
−0.535086 | + | 0.844797i | \(0.679721\pi\) | |||||||
\(194\) | 1.12029 | + | 3.53652i | 0.0804321 | + | 0.253907i | ||||
\(195\) | 12.6407 | − | 15.7616i | 0.905222 | − | 1.12871i | ||||
\(196\) | 24.2289 | + | 18.1559i | 1.73064 | + | 1.29685i | ||||
\(197\) | 11.7328 | + | 16.1488i | 0.835928 | + | 1.15056i | 0.986790 | + | 0.162002i | \(0.0517951\pi\) |
−0.150862 | + | 0.988555i | \(0.548205\pi\) | |||||||
\(198\) | −1.28626 | − | 0.274145i | −0.0914108 | − | 0.0194827i | ||||
\(199\) | − | 0.946212i | − | 0.0670752i | −0.999437 | − | 0.0335376i | \(-0.989323\pi\) | ||
0.999437 | − | 0.0335376i | \(-0.0106774\pi\) | |||||||
\(200\) | 14.0909 | − | 1.20327i | 0.996374 | − | 0.0850842i | ||||
\(201\) | 12.7550 | − | 14.2635i | 0.899669 | − | 1.00607i | ||||
\(202\) | −19.8602 | − | 6.61546i | −1.39736 | − | 0.465462i | ||||
\(203\) | 15.1962 | − | 11.0407i | 1.06657 | − | 0.774906i | ||||
\(204\) | 15.5560 | − | 3.12244i | 1.08914 | − | 0.218614i | ||||
\(205\) | −12.3638 | − | 8.00618i | −0.863524 | − | 0.559176i | ||||
\(206\) | −12.8631 | + | 4.07474i | −0.896216 | + | 0.283901i | ||||
\(207\) | −0.240578 | − | 2.14772i | −0.0167213 | − | 0.149277i | ||||
\(208\) | −20.8579 | − | 0.616097i | −1.44623 | − | 0.0427186i | ||||
\(209\) | 1.44629 | + | 0.469928i | 0.100042 | + | 0.0325056i | ||||
\(210\) | 19.9847 | + | 16.2715i | 1.37907 | + | 1.12284i | ||||
\(211\) | 24.3711 | − | 7.91866i | 1.67778 | − | 0.545143i | 0.693300 | − | 0.720649i | \(-0.256156\pi\) |
0.984478 | + | 0.175506i | \(0.0561562\pi\) | |||||||
\(212\) | 0.0831523 | − | 5.63145i | 0.00571092 | − | 0.386770i | ||||
\(213\) | 0.287201 | − | 0.167126i | 0.0196787 | − | 0.0114513i | ||||
\(214\) | −8.87684 | + | 26.6491i | −0.606808 | + | 1.82169i | ||||
\(215\) | −1.67965 | + | 6.30148i | −0.114551 | + | 0.429757i | ||||
\(216\) | 14.0307 | − | 4.37494i | 0.954667 | − | 0.297677i | ||||
\(217\) | 13.9402 | + | 10.1282i | 0.946325 | + | 0.687545i | ||||
\(218\) | −2.48151 | − | 1.83107i | −0.168069 | − | 0.124015i | ||||
\(219\) | 0.530673 | + | 2.45536i | 0.0358596 | + | 0.165918i | ||||
\(220\) | −0.770607 | + | 1.15238i | −0.0519543 | + | 0.0776933i | ||||
\(221\) | −14.0444 | − | 19.3304i | −0.944727 | − | 1.30031i | ||||
\(222\) | 6.36248 | + | 5.77467i | 0.427022 | + | 0.387571i | ||||
\(223\) | −12.2224 | + | 3.97130i | −0.818474 | + | 0.265938i | −0.688182 | − | 0.725538i | \(-0.741591\pi\) |
−0.130291 | + | 0.991476i | \(0.541591\pi\) | |||||||
\(224\) | 0.982225 | − | 26.5981i | 0.0656276 | − | 1.77716i | ||||
\(225\) | 11.2415 | + | 9.93123i | 0.749432 | + | 0.662082i | ||||
\(226\) | 11.9956 | − | 16.2568i | 0.797939 | − | 1.08139i | ||||
\(227\) | −3.54353 | − | 10.9059i | −0.235193 | − | 0.723849i | −0.997096 | − | 0.0761576i | \(-0.975735\pi\) |
0.761903 | − | 0.647691i | \(-0.224265\pi\) | |||||||
\(228\) | −16.6618 | + | 3.34440i | −1.10345 | + | 0.221488i | ||||
\(229\) | 19.9240 | − | 14.4757i | 1.31662 | − | 0.956578i | 0.316649 | − | 0.948543i | \(-0.397442\pi\) |
0.999968 | − | 0.00803568i | \(-0.00255786\pi\) | |||||||
\(230\) | −2.19681 | − | 0.602960i | −0.144853 | − | 0.0397580i | ||||
\(231\) | −2.46922 | + | 0.533669i | −0.162463 | + | 0.0351129i | ||||
\(232\) | −10.6589 | − | 3.72622i | −0.699793 | − | 0.244638i | ||||
\(233\) | 7.89436 | − | 10.8656i | 0.517176 | − | 0.711832i | −0.467932 | − | 0.883764i | \(-0.655001\pi\) |
0.985109 | + | 0.171932i | \(0.0550009\pi\) | |||||||
\(234\) | −14.8006 | − | 16.4560i | −0.967549 | − | 1.07576i | ||||
\(235\) | −8.33921 | + | 3.21364i | −0.543990 | + | 0.209634i | ||||
\(236\) | −2.89022 | + | 2.03536i | −0.188137 | + | 0.132490i | ||||
\(237\) | 9.95469 | + | 17.1068i | 0.646627 | + | 1.11121i | ||||
\(238\) | 24.7879 | − | 17.7314i | 1.60676 | − | 1.14936i | ||||
\(239\) | 0.528041 | + | 1.62514i | 0.0341562 | + | 0.105122i | 0.966681 | − | 0.255984i | \(-0.0823994\pi\) |
−0.932525 | + | 0.361106i | \(0.882399\pi\) | |||||||
\(240\) | 1.19427 | − | 15.4458i | 0.0770900 | − | 0.997024i | ||||
\(241\) | −6.74168 | + | 20.7488i | −0.434270 | + | 1.33654i | 0.459563 | + | 0.888145i | \(0.348006\pi\) |
−0.893833 | + | 0.448400i | \(0.851994\pi\) | |||||||
\(242\) | 4.65679 | + | 14.7005i | 0.299350 | + | 0.944984i | ||||
\(243\) | 13.6311 | + | 7.56257i | 0.874437 | + | 0.485139i | ||||
\(244\) | −3.11191 | + | 9.11720i | −0.199220 | + | 0.583669i | ||||
\(245\) | 32.7083 | + | 8.71835i | 2.08966 | + | 0.556995i | ||||
\(246\) | −10.8442 | + | 11.9481i | −0.691404 | + | 0.761783i | ||||
\(247\) | 15.0427 | + | 20.7045i | 0.957146 | + | 1.31740i | ||||
\(248\) | 0.229384 | − | 10.3557i | 0.0145659 | − | 0.657587i | ||||
\(249\) | −5.54301 | − | 4.95678i | −0.351274 | − | 0.314123i | ||||
\(250\) | 14.1128 | − | 7.12942i | 0.892572 | − | 0.450904i | ||||
\(251\) | 16.8250 | 1.06198 | 0.530992 | − | 0.847377i | \(-0.321819\pi\) | ||||
0.530992 | + | 0.847377i | \(0.321819\pi\) | |||||||
\(252\) | 21.1288 | − | 18.7231i | 1.33099 | − | 1.17944i | ||||
\(253\) | 0.180660 | − | 0.131257i | 0.0113580 | − | 0.00825206i | ||||
\(254\) | −0.0144402 | + | 1.95601i | −0.000906057 | + | 0.122731i | ||||
\(255\) | 14.8314 | − | 9.73151i | 0.928779 | − | 0.609411i | ||||
\(256\) | −13.4768 | + | 8.62414i | −0.842300 | + | 0.539009i | ||||
\(257\) | 17.8425i | 1.11299i | 0.830852 | + | 0.556493i | \(0.187853\pi\) | ||||
−0.830852 | + | 0.556493i | \(0.812147\pi\) | |||||||
\(258\) | 6.51473 | + | 2.93157i | 0.405589 | + | 0.182511i | ||||
\(259\) | 15.6969 | + | 5.10023i | 0.975357 | + | 0.316913i | ||||
\(260\) | −21.8910 | + | 8.06687i | −1.35762 | + | 0.500286i | ||||
\(261\) | −4.94587 | − | 10.9075i | −0.306142 | − | 0.675156i | ||||
\(262\) | −13.0446 | + | 9.33109i | −0.805897 | + | 0.576477i | ||||
\(263\) | 0.471467 | − | 1.45103i | 0.0290719 | − | 0.0894741i | −0.935468 | − | 0.353412i | \(-0.885021\pi\) |
0.964540 | + | 0.263938i | \(0.0850214\pi\) | |||||||
\(264\) | 1.10932 | + | 1.03711i | 0.0682736 | + | 0.0638296i | ||||
\(265\) | −2.26427 | − | 5.87565i | −0.139093 | − | 0.360938i | ||||
\(266\) | −26.5500 | + | 18.9918i | −1.62788 | + | 1.16446i | ||||
\(267\) | −7.94993 | + | 1.71821i | −0.486528 | + | 0.105153i | ||||
\(268\) | −21.1120 | + | 6.51672i | −1.28962 | + | 0.398072i | ||||
\(269\) | 15.2776 | − | 21.0279i | 0.931494 | − | 1.28209i | −0.0277802 | − | 0.999614i | \(-0.508844\pi\) |
0.959274 | − | 0.282477i | \(-0.0911561\pi\) | |||||||
\(270\) | 12.7266 | − | 10.3940i | 0.774514 | − | 0.632556i | ||||
\(271\) | 1.36039 | + | 1.87242i | 0.0826379 | + | 0.113741i | 0.848335 | − | 0.529460i | \(-0.177606\pi\) |
−0.765697 | + | 0.643202i | \(0.777606\pi\) | |||||||
\(272\) | −17.2494 | − | 6.17341i | −1.04590 | − | 0.374318i | ||||
\(273\) | −38.8974 | − | 17.1593i | −2.35418 | − | 1.03853i | ||||
\(274\) | 12.6553 | − | 17.1508i | 0.764533 | − | 1.03612i | ||||
\(275\) | −0.318283 | + | 1.51689i | −0.0191932 | + | 0.0914720i | ||||
\(276\) | −1.04081 | + | 2.26807i | −0.0626495 | + | 0.136522i | ||||
\(277\) | −2.46255 | − | 7.57895i | −0.147960 | − | 0.455375i | 0.849419 | − | 0.527718i | \(-0.176952\pi\) |
−0.997380 | + | 0.0723432i | \(0.976952\pi\) | |||||||
\(278\) | 0.0611245 | − | 8.27971i | 0.00366600 | − | 0.496584i | ||||
\(279\) | 8.11420 | − | 7.40704i | 0.485784 | − | 0.443448i | ||||
\(280\) | −10.0830 | − | 27.9976i | −0.602577 | − | 1.67318i | ||||
\(281\) | −4.55414 | + | 6.26824i | −0.271677 | + | 0.373932i | −0.922955 | − | 0.384908i | \(-0.874233\pi\) |
0.651278 | + | 0.758839i | \(0.274233\pi\) | |||||||
\(282\) | 1.99745 | + | 9.58405i | 0.118946 | + | 0.570722i | ||||
\(283\) | −0.974082 | + | 1.34071i | −0.0579032 | + | 0.0796969i | −0.836987 | − | 0.547223i | \(-0.815685\pi\) |
0.779083 | + | 0.626920i | \(0.215685\pi\) | |||||||
\(284\) | −0.383652 | − | 0.00566488i | −0.0227655 | − | 0.000336149i | ||||
\(285\) | −15.8857 | + | 10.4233i | −0.940988 | + | 0.617422i | ||||
\(286\) | 0.722741 | − | 2.16973i | 0.0427366 | − | 0.128299i | ||||
\(287\) | −9.57771 | + | 29.4772i | −0.565354 | + | 1.73998i | ||||
\(288\) | −16.4861 | − | 4.02604i | −0.971452 | − | 0.237237i | ||||
\(289\) | −1.22933 | − | 3.78349i | −0.0723135 | − | 0.222558i | ||||
\(290\) | −12.6107 | + | 0.584102i | −0.740528 | + | 0.0342997i | ||||
\(291\) | 3.92697 | − | 2.28516i | 0.230203 | − | 0.133958i | ||||
\(292\) | 0.936987 | − | 2.74516i | 0.0548330 | − | 0.160648i | ||||
\(293\) | − | 6.24685i | − | 0.364945i | −0.983211 | − | 0.182472i | \(-0.941590\pi\) | ||
0.983211 | − | 0.182472i | \(-0.0584100\pi\) | |||||||
\(294\) | 15.2165 | − | 33.8152i | 0.887446 | − | 1.97214i | ||||
\(295\) | −2.14820 | + | 3.31742i | −0.125073 | + | 0.193148i | ||||
\(296\) | −2.85622 | − | 9.50155i | −0.166014 | − | 0.552266i | ||||
\(297\) | 0.0165032 | + | 1.61064i | 0.000957612 | + | 0.0934590i | ||||
\(298\) | 12.6002 | + | 4.19715i | 0.729911 | + | 0.243134i | ||||
\(299\) | 3.75806 | 0.217334 | ||||||||
\(300\) | −5.20824 | − | 16.5189i | −0.300698 | − | 0.953719i | ||||
\(301\) | 13.7225 | 0.790953 | ||||||||
\(302\) | 9.33025 | + | 3.10792i | 0.536895 | + | 0.178840i | ||||
\(303\) | −2.59277 | + | 25.5062i | −0.148951 | + | 1.46529i | ||||
\(304\) | 18.4755 | + | 6.61225i | 1.05964 | + | 0.379239i | ||||
\(305\) | 0.577757 | + | 10.7552i | 0.0330823 | + | 0.615844i | ||||
\(306\) | −7.89396 | − | 17.7565i | −0.451268 | − | 1.01507i | ||||
\(307\) | 1.38768i | 0.0791991i | 0.999216 | + | 0.0395995i | \(0.0126082\pi\) | ||||
−0.999216 | + | 0.0395995i | \(0.987392\pi\) | |||||||
\(308\) | 2.76066 | + | 0.942276i | 0.157303 | + | 0.0536912i | ||||
\(309\) | 8.31162 | + | 14.2833i | 0.472832 | + | 0.812547i | ||||
\(310\) | −4.08445 | − | 10.8367i | −0.231981 | − | 0.615481i | ||||
\(311\) | 0.845914 | + | 2.60346i | 0.0479674 | + | 0.147628i | 0.972171 | − | 0.234271i | \(-0.0752702\pi\) |
−0.924204 | + | 0.381899i | \(0.875270\pi\) | |||||||
\(312\) | 4.84438 | + | 25.0934i | 0.274259 | + | 1.42063i | ||||
\(313\) | −3.00167 | + | 9.23820i | −0.169665 | + | 0.522174i | −0.999350 | − | 0.0360579i | \(-0.988520\pi\) |
0.829685 | + | 0.558232i | \(0.188520\pi\) | |||||||
\(314\) | −1.21396 | + | 3.64443i | −0.0685079 | + | 0.205667i | ||||
\(315\) | 14.1000 | − | 28.2385i | 0.794444 | − | 1.59106i | ||||
\(316\) | 0.337423 | − | 22.8518i | 0.0189815 | − | 1.28552i | ||||
\(317\) | 7.07755 | − | 9.74141i | 0.397515 | − | 0.547132i | −0.562603 | − | 0.826727i | \(-0.690200\pi\) |
0.960118 | + | 0.279595i | \(0.0902002\pi\) | |||||||
\(318\) | −6.75274 | + | 1.40737i | −0.378675 | + | 0.0789211i | ||||
\(319\) | 0.727386 | − | 1.00116i | 0.0407258 | − | 0.0560542i | ||||
\(320\) | −10.3785 | + | 14.5701i | −0.580176 | + | 0.814491i | ||||
\(321\) | 34.2250 | + | 3.47906i | 1.91026 | + | 0.194182i | ||||
\(322\) | −0.0353866 | + | 4.79335i | −0.00197202 | + | 0.267123i | ||||
\(323\) | 6.94344 | + | 21.3697i | 0.386343 | + | 1.18904i | ||||
\(324\) | −8.98280 | − | 15.5984i | −0.499044 | − | 0.866577i | ||||
\(325\) | −19.3383 | + | 17.5040i | −1.07270 | + | 0.970950i | ||||
\(326\) | 9.08115 | − | 12.3070i | 0.502958 | − | 0.681624i | ||||
\(327\) | −1.52447 | + | 3.45573i | −0.0843034 | + | 0.191102i | ||||
\(328\) | 17.8429 | − | 5.36369i | 0.985211 | − | 0.296160i | ||||
\(329\) | 11.0534 | + | 15.2137i | 0.609396 | + | 0.838761i | ||||
\(330\) | 1.58346 | + | 0.612671i | 0.0871667 | + | 0.0337264i | ||||
\(331\) | −6.71566 | + | 9.24331i | −0.369126 | + | 0.508058i | −0.952663 | − | 0.304028i | \(-0.901668\pi\) |
0.583537 | + | 0.812087i | \(0.301668\pi\) | |||||||
\(332\) | 2.53249 | + | 8.20443i | 0.138988 | + | 0.450277i | ||||
\(333\) | 5.19933 | − | 9.14926i | 0.284921 | − | 0.501377i | ||||
\(334\) | 1.99009 | − | 1.42356i | 0.108893 | − | 0.0778937i | ||||
\(335\) | −19.1774 | + | 15.5711i | −1.04777 | + | 0.850740i | ||||
\(336\) | −32.0519 | + | 5.94266i | −1.74857 | + | 0.324198i | ||||
\(337\) | −9.19525 | + | 28.3001i | −0.500897 | + | 1.54160i | 0.306663 | + | 0.951818i | \(0.400787\pi\) |
−0.807560 | + | 0.589785i | \(0.799213\pi\) | |||||||
\(338\) | 16.3499 | − | 11.6954i | 0.889316 | − | 0.636148i | ||||
\(339\) | −22.6391 | − | 9.98708i | −1.22959 | − | 0.542424i | ||||
\(340\) | −20.4678 | + | 0.796648i | −1.11002 | + | 0.0432043i | ||||
\(341\) | 1.07966 | + | 0.350803i | 0.0584668 | + | 0.0189970i | ||||
\(342\) | 8.45511 | + | 19.0187i | 0.457200 | + | 1.02841i | ||||
\(343\) | − | 38.2919i | − | 2.06757i | ||||||
\(344\) | −4.69972 | − | 6.77940i | −0.253392 | − | 0.365521i | ||||
\(345\) | −0.132860 | + | 2.78687i | −0.00715292 | + | 0.150040i | ||||
\(346\) | 0.0502978 | − | 6.81316i | 0.00270403 | − | 0.366278i | ||||
\(347\) | 13.5928 | − | 9.87576i | 0.729700 | − | 0.530158i | −0.159768 | − | 0.987155i | \(-0.551075\pi\) |
0.889469 | + | 0.456996i | \(0.151075\pi\) | |||||||
\(348\) | −1.60154 | + | 13.7361i | −0.0858515 | + | 0.736334i | ||||
\(349\) | −19.7352 | −1.05640 | −0.528201 | − | 0.849119i | \(-0.677133\pi\) | ||||
−0.528201 | + | 0.849119i | \(0.677133\pi\) | |||||||
\(350\) | −22.1441 | − | 24.8305i | −1.18365 | − | 1.32725i | ||||
\(351\) | −15.7076 | + | 22.0921i | −0.838409 | + | 1.17919i | ||||
\(352\) | −0.479960 | − | 1.68657i | −0.0255820 | − | 0.0898947i | ||||
\(353\) | 15.6503 | + | 21.5408i | 0.832983 | + | 1.14650i | 0.987360 | + | 0.158491i | \(0.0506628\pi\) |
−0.154377 | + | 0.988012i | \(0.549337\pi\) | |||||||
\(354\) | 3.20589 | + | 2.90970i | 0.170391 | + | 0.154649i | ||||
\(355\) | −0.400288 | + | 0.154257i | −0.0212451 | + | 0.00818711i | ||||
\(356\) | 8.88826 | + | 3.03377i | 0.471077 | + | 0.160789i | ||||
\(357\) | −27.8241 | − | 24.8814i | −1.47261 | − | 1.31686i | ||||
\(358\) | −8.63861 | − | 27.2703i | −0.456565 | − | 1.44128i | ||||
\(359\) | 7.39358 | − | 22.7551i | 0.390218 | − | 1.20097i | −0.542405 | − | 0.840117i | \(-0.682486\pi\) |
0.932623 | − | 0.360851i | \(-0.117514\pi\) | |||||||
\(360\) | −18.7798 | + | 2.70532i | −0.989783 | + | 0.142583i | ||||
\(361\) | −1.56570 | − | 4.81872i | −0.0824051 | − | 0.253617i | ||||
\(362\) | 24.0863 | − | 17.2295i | 1.26595 | − | 0.905563i | ||||
\(363\) | 16.3235 | − | 9.49887i | 0.856762 | − | 0.498561i | ||||
\(364\) | 28.2655 | + | 40.1372i | 1.48151 | + | 2.10376i | ||||
\(365\) | −0.173961 | − | 3.23837i | −0.00910554 | − | 0.169504i | ||||
\(366\) | 11.7292 | + | 1.27985i | 0.613093 | + | 0.0668987i | ||||
\(367\) | −0.859077 | + | 1.18242i | −0.0448434 | + | 0.0617217i | −0.830850 | − | 0.556497i | \(-0.812145\pi\) |
0.786006 | + | 0.618218i | \(0.212145\pi\) | |||||||
\(368\) | 2.38020 | − | 1.62416i | 0.124077 | − | 0.0846650i | ||||
\(369\) | 17.1814 | + | 9.76381i | 0.894427 | + | 0.508284i | ||||
\(370\) | −6.92833 | − | 8.66285i | −0.360187 | − | 0.450360i | ||||
\(371\) | −10.7193 | + | 7.78805i | −0.556520 | + | 0.404335i | ||||
\(372\) | −12.4381 | + | 2.49661i | −0.644885 | + | 0.129443i | ||||
\(373\) | −6.04529 | − | 18.6055i | −0.313013 | − | 0.963355i | −0.976565 | − | 0.215225i | \(-0.930952\pi\) |
0.663551 | − | 0.748131i | \(-0.269048\pi\) | |||||||
\(374\) | 1.19217 | − | 1.61566i | 0.0616454 | − | 0.0835437i | ||||
\(375\) | −12.2968 | − | 14.9595i | −0.635005 | − | 0.772508i | ||||
\(376\) | 3.73051 | − | 10.6712i | 0.192387 | − | 0.550326i | ||||
\(377\) | 19.8067 | − | 6.43559i | 1.02010 | − | 0.331450i | ||||
\(378\) | −28.0303 | − | 20.2428i | −1.44172 | − | 1.04118i | ||||
\(379\) | −19.4302 | − | 26.7433i | −0.998061 | − | 1.37371i | −0.926508 | − | 0.376276i | \(-0.877204\pi\) |
−0.0715534 | − | 0.997437i | \(-0.522796\pi\) | |||||||
\(380\) | 21.9227 | − | 0.853278i | 1.12461 | − | 0.0437723i | ||||
\(381\) | 2.34162 | − | 0.506091i | 0.119965 | − | 0.0259278i | ||||
\(382\) | 11.2967 | + | 8.33564i | 0.577990 | + | 0.426489i | ||||
\(383\) | −7.35026 | − | 5.34028i | −0.375581 | − | 0.272876i | 0.383940 | − | 0.923358i | \(-0.374567\pi\) |
−0.759521 | + | 0.650482i | \(0.774567\pi\) | |||||||
\(384\) | 13.9131 | + | 13.7995i | 0.709999 | + | 0.704202i | ||||
\(385\) | 3.25666 | − | 0.174943i | 0.165975 | − | 0.00891593i | ||||
\(386\) | 6.64470 | − | 19.9480i | 0.338206 | − | 1.01533i | ||||
\(387\) | 1.76062 | − | 8.57052i | 0.0894974 | − | 0.435664i | ||||
\(388\) | −5.24577 | − | 0.0774574i | −0.266313 | − | 0.00393230i | ||||
\(389\) | −28.3055 | + | 9.19700i | −1.43514 | + | 0.466306i | −0.920380 | − | 0.391026i | \(-0.872120\pi\) |
−0.514764 | + | 0.857332i | \(0.672120\pi\) | |||||||
\(390\) | 15.4983 | + | 24.0049i | 0.784789 | + | 1.21554i | ||||
\(391\) | 3.13801 | + | 1.01960i | 0.158696 | + | 0.0515634i | ||||
\(392\) | −35.1890 | + | 24.3943i | −1.77731 | + | 1.23210i | ||||
\(393\) | 14.6424 | + | 13.0938i | 0.738609 | + | 0.660493i | ||||
\(394\) | −26.9112 | + | 8.52487i | −1.35577 | + | 0.429477i | ||||
\(395\) | −9.18816 | − | 23.8428i | −0.462306 | − | 1.19966i | ||||
\(396\) | 0.942704 | − | 1.60330i | 0.0473727 | − | 0.0805688i | ||||
\(397\) | 25.0659 | − | 18.2115i | 1.25802 | − | 0.914008i | 0.259365 | − | 0.965779i | \(-0.416487\pi\) |
0.998659 | + | 0.0517719i | \(0.0164869\pi\) | |||||||
\(398\) | 1.26957 | + | 0.422894i | 0.0636376 | + | 0.0211977i | ||||
\(399\) | 29.8020 | + | 26.6501i | 1.49197 | + | 1.33417i | ||||
\(400\) | −4.68320 | + | 19.4440i | −0.234160 | + | 0.972198i | ||||
\(401\) | 2.23671i | 0.111696i | 0.998439 | + | 0.0558479i | \(0.0177862\pi\) | ||||
−0.998439 | + | 0.0558479i | \(0.982214\pi\) | |||||||
\(402\) | 13.4372 | + | 23.4887i | 0.670189 | + | 1.17151i | ||||
\(403\) | 11.2295 | + | 15.4560i | 0.559379 | + | 0.769919i | ||||
\(404\) | 17.7524 | − | 23.6905i | 0.883214 | − | 1.17864i | ||||
\(405\) | −15.8276 | − | 12.4293i | −0.786479 | − | 0.617618i | ||||
\(406\) | 8.02199 | + | 25.3238i | 0.398125 | + | 1.25680i | ||||
\(407\) | 1.08736 | 0.0538987 | ||||||||
\(408\) | −2.76301 | + | 22.2675i | −0.136789 | + | 1.10241i | ||||
\(409\) | −0.646477 | + | 1.98965i | −0.0319662 | + | 0.0983820i | −0.965767 | − | 0.259412i | \(-0.916471\pi\) |
0.933800 | + | 0.357794i | \(0.116471\pi\) | |||||||
\(410\) | 16.2680 | − | 13.0107i | 0.803417 | − | 0.642552i | ||||
\(411\) | −23.8840 | − | 10.5362i | −1.17811 | − | 0.519715i | ||||
\(412\) | 0.281730 | − | 19.0800i | 0.0138798 | − | 0.940005i | ||||
\(413\) | 7.90925 | + | 2.56987i | 0.389189 | + | 0.126455i | ||||
\(414\) | 2.98919 | + | 0.637096i | 0.146911 | + | 0.0313115i | ||||
\(415\) | 6.05115 | + | 7.45261i | 0.297039 | + | 0.365834i | ||||
\(416\) | 10.1487 | − | 27.7104i | 0.497582 | − | 1.35861i | ||||
\(417\) | −9.91195 | + | 2.14226i | −0.485390 | + | 0.104907i | ||||
\(418\) | −1.27691 | + | 1.73051i | −0.0624558 | + | 0.0846419i | ||||
\(419\) | 31.9784 | + | 23.2337i | 1.56225 | + | 1.13504i | 0.934135 | + | 0.356919i | \(0.116173\pi\) |
0.628114 | + | 0.778122i | \(0.283827\pi\) | |||||||
\(420\) | −30.7638 | + | 19.5419i | −1.50112 | + | 0.953546i | ||||
\(421\) | −25.7585 | + | 18.7146i | −1.25539 | + | 0.912094i | −0.998522 | − | 0.0543522i | \(-0.982691\pi\) |
−0.256868 | + | 0.966446i | \(0.582691\pi\) | |||||||
\(422\) | −0.267530 | + | 36.2387i | −0.0130232 | + | 1.76407i | ||||
\(423\) | 10.9201 | − | 4.95157i | 0.530951 | − | 0.240754i | ||||
\(424\) | 7.51875 | + | 2.62845i | 0.365143 | + | 0.127649i | ||||
\(425\) | −20.8967 | + | 9.36933i | −1.01364 | + | 0.454479i | ||||
\(426\) | 0.0958790 | + | 0.460042i | 0.00464535 | + | 0.0222891i | ||||
\(427\) | 21.5546 | − | 7.00351i | 1.04310 | − | 0.338924i | ||||
\(428\) | −31.7886 | − | 23.8207i | −1.53656 | − | 1.15142i | ||||
\(429\) | −2.78656 | − | 0.283261i | −0.134536 | − | 0.0136759i | ||||
\(430\) | −7.70421 | − | 5.06998i | −0.371530 | − | 0.244496i | ||||
\(431\) | −14.1808 | − | 10.3030i | −0.683066 | − | 0.496277i | 0.191307 | − | 0.981530i | \(-0.438727\pi\) |
−0.874374 | + | 0.485253i | \(0.838727\pi\) | |||||||
\(432\) | −0.400770 | + | 20.7807i | −0.0192821 | + | 0.999814i | ||||
\(433\) | −4.79900 | − | 3.48668i | −0.230625 | − | 0.167559i | 0.466471 | − | 0.884536i | \(-0.345525\pi\) |
−0.697096 | + | 0.716977i | \(0.745525\pi\) | |||||||
\(434\) | −19.8197 | + | 14.1775i | −0.951375 | + | 0.680541i | ||||
\(435\) | 4.07221 | + | 14.9156i | 0.195248 | + | 0.715148i | ||||
\(436\) | 3.56588 | − | 2.51117i | 0.170774 | − | 0.120263i | ||||
\(437\) | −3.36108 | − | 1.09208i | −0.160782 | − | 0.0522413i | ||||
\(438\) | −3.53161 | − | 0.385358i | −0.168747 | − | 0.0184131i | ||||
\(439\) | 26.7087 | − | 8.67819i | 1.27474 | − | 0.414188i | 0.408014 | − | 0.912976i | \(-0.366221\pi\) |
0.866724 | + | 0.498788i | \(0.166221\pi\) | |||||||
\(440\) | −1.20178 | − | 1.54899i | −0.0572924 | − | 0.0738450i | ||||
\(441\) | −44.4860 | − | 9.13864i | −2.11838 | − | 0.435174i | ||||
\(442\) | 32.2132 | − | 10.2044i | 1.53223 | − | 0.485374i | ||||
\(443\) | −24.7910 | −1.17785 | −0.588927 | − | 0.808186i | \(-0.700450\pi\) | ||||
−0.588927 | + | 0.808186i | \(0.700450\pi\) | |||||||
\(444\) | −10.5917 | + | 5.95587i | −0.502659 | + | 0.282653i | ||||
\(445\) | 10.4852 | − | 0.563249i | 0.497045 | − | 0.0267006i | ||||
\(446\) | 0.134170 | − | 18.1741i | 0.00635311 | − | 0.860571i | ||||
\(447\) | 1.64497 | − | 16.1823i | 0.0778044 | − | 0.765396i | ||||
\(448\) | 35.2487 | + | 13.2055i | 1.66534 | + | 0.623900i | ||||
\(449\) | − | 13.0884i | − | 0.617680i | −0.951114 | − | 0.308840i | \(-0.900059\pi\) | ||
0.951114 | − | 0.308840i | \(-0.0999408\pi\) | |||||||
\(450\) | −18.3493 | + | 10.6445i | −0.864992 | + | 0.501785i | ||||
\(451\) | 2.04196i | 0.0961521i | ||||||||
\(452\) | 16.4511 | + | 23.3607i | 0.773795 | + | 1.09879i | ||||
\(453\) | 1.21807 | − | 11.9827i | 0.0572300 | − | 0.562997i | ||||
\(454\) | 16.2165 | + | 0.119717i | 0.761079 | + | 0.00561862i | ||||
\(455\) | 46.0698 | + | 29.8326i | 2.15979 | + | 1.39857i | ||||
\(456\) | 2.95942 | − | 23.8504i | 0.138587 | − | 1.11690i | ||||
\(457\) | −1.73408 | −0.0811169 | −0.0405585 | − | 0.999177i | \(-0.512914\pi\) | ||||
−0.0405585 | + | 0.999177i | \(0.512914\pi\) | |||||||
\(458\) | 10.5178 | + | 33.2024i | 0.491463 | + | 1.55145i | ||||
\(459\) | −19.1098 | + | 14.1855i | −0.891968 | + | 0.662121i | ||||
\(460\) | 1.79084 | − | 2.67805i | 0.0834983 | − | 0.124865i | ||||
\(461\) | −0.287830 | + | 0.0935215i | −0.0134056 | + | 0.00435573i | −0.315712 | − | 0.948855i | \(-0.602243\pi\) |
0.302307 | + | 0.953211i | \(0.402243\pi\) | |||||||
\(462\) | 0.387534 | − | 3.55155i | 0.0180297 | − | 0.165233i | ||||
\(463\) | −16.0527 | − | 5.21583i | −0.746031 | − | 0.242400i | −0.0887587 | − | 0.996053i | \(-0.528290\pi\) |
−0.657273 | + | 0.753653i | \(0.728290\pi\) | |||||||
\(464\) | 9.76342 | − | 12.6361i | 0.453256 | − | 0.586615i | ||||
\(465\) | −11.8587 | + | 7.78102i | −0.549936 | + | 0.360836i | ||||
\(466\) | 11.0506 | + | 15.4483i | 0.511907 | + | 0.715631i | ||||
\(467\) | −4.67482 | − | 3.39646i | −0.216325 | − | 0.157169i | 0.474346 | − | 0.880339i | \(-0.342685\pi\) |
−0.690671 | + | 0.723169i | \(0.742685\pi\) | |||||||
\(468\) | 28.6945 | − | 12.5038i | 1.32640 | − | 0.577988i | ||||
\(469\) | 42.0526 | + | 30.5530i | 1.94181 | + | 1.41081i | ||||
\(470\) | −0.584776 | − | 12.6253i | −0.0269737 | − | 0.582361i | ||||
\(471\) | 4.68049 | + | 0.475783i | 0.215666 | + | 0.0219229i | ||||
\(472\) | −1.43917 | − | 4.78758i | −0.0662433 | − | 0.220366i | ||||
\(473\) | 0.859822 | − | 0.279373i | 0.0395346 | − | 0.0128456i | ||||
\(474\) | −27.4019 | + | 5.71094i | −1.25861 | + | 0.262312i | ||||
\(475\) | 22.3821 | − | 10.0354i | 1.02696 | − | 0.460454i | ||||
\(476\) | 12.7123 | + | 41.1836i | 0.582665 | + | 1.88765i | ||||
\(477\) | 3.48879 | + | 7.69407i | 0.159741 | + | 0.352287i | ||||
\(478\) | −2.41651 | − | 0.0178398i | −0.110529 | − | 0.000815971i | ||||
\(479\) | −13.9573 | + | 10.1406i | −0.637724 | + | 0.463334i | −0.859068 | − | 0.511862i | \(-0.828956\pi\) |
0.221344 | + | 0.975196i | \(0.428956\pi\) | |||||||
\(480\) | 20.1904 | + | 8.50565i | 0.921563 | + | 0.388228i | ||||
\(481\) | 14.8045 | + | 10.7561i | 0.675025 | + | 0.490434i | ||||
\(482\) | −24.8262 | − | 18.3188i | −1.13080 | − | 0.834401i | ||||
\(483\) | 5.73830 | − | 1.24021i | 0.261102 | − | 0.0564316i | ||||
\(484\) | −21.8054 | − | 0.321972i | −0.991156 | − | 0.0146351i | ||||
\(485\) | −5.47324 | + | 2.10919i | −0.248527 | + | 0.0957735i | ||||
\(486\) | −16.2392 | + | 14.9094i | −0.736623 | + | 0.676303i | ||||
\(487\) | −22.9703 | − | 7.46350i | −1.04088 | − | 0.338204i | −0.261799 | − | 0.965122i | \(-0.584316\pi\) |
−0.779085 | + | 0.626919i | \(0.784316\pi\) | |||||||
\(488\) | −10.8420 | − | 8.25014i | −0.490796 | − | 0.373466i | ||||
\(489\) | −17.1386 | − | 7.56058i | −0.775036 | − | 0.341901i | ||||
\(490\) | −26.3161 | + | 39.9893i | −1.18884 | + | 1.80653i | ||||
\(491\) | −12.9238 | + | 39.7753i | −0.583241 | + | 1.79503i | 0.0229798 | + | 0.999736i | \(0.492685\pi\) |
−0.606221 | + | 0.795296i | \(0.707315\pi\) | |||||||
\(492\) | −11.1845 | − | 19.8901i | −0.504237 | − | 0.896715i | ||||
\(493\) | 18.2848 | 0.823505 | ||||||||
\(494\) | −34.5031 | + | 10.9298i | −1.55237 | + | 0.491755i | ||||
\(495\) | 0.308572 | − | 2.05642i | 0.0138693 | − | 0.0924291i | ||||
\(496\) | 13.7921 | + | 4.93607i | 0.619282 | + | 0.221636i | ||||
\(497\) | 0.530573 | + | 0.730272i | 0.0237995 | + | 0.0327572i | ||||
\(498\) | 9.12803 | − | 5.22190i | 0.409037 | − | 0.233999i | ||||
\(499\) | − | 14.8589i | − | 0.665175i | −0.943072 | − | 0.332587i | \(-0.892078\pi\) | ||
0.943072 | − | 0.332587i | \(-0.107922\pi\) | |||||||
\(500\) | 3.25831 | + | 22.1220i | 0.145716 | + | 0.989326i | ||||
\(501\) | −2.23385 | − | 1.99759i | −0.0998010 | − | 0.0892460i | ||||
\(502\) | −7.51965 | + | 22.5747i | −0.335618 | + | 1.00756i | ||||
\(503\) | 4.26853 | − | 3.10127i | 0.190325 | − | 0.138279i | −0.488542 | − | 0.872540i | \(-0.662471\pi\) |
0.678867 | + | 0.734261i | \(0.262471\pi\) | |||||||
\(504\) | 15.6782 | + | 36.7172i | 0.698363 | + | 1.63551i | ||||
\(505\) | 8.52461 | − | 31.9814i | 0.379340 | − | 1.42315i | ||||
\(506\) | 0.0953692 | + | 0.301061i | 0.00423968 | + | 0.0133838i | ||||
\(507\) | −18.3525 | − | 16.4115i | −0.815063 | − | 0.728861i | ||||
\(508\) | −2.61800 | − | 0.893583i | −0.116155 | − | 0.0396463i | ||||
\(509\) | 23.9522 | + | 7.78254i | 1.06166 | + | 0.344955i | 0.787235 | − | 0.616653i | \(-0.211512\pi\) |
0.274427 | + | 0.961608i | \(0.411512\pi\) | |||||||
\(510\) | 6.42846 | + | 24.2491i | 0.284657 | + | 1.07377i | ||||
\(511\) | −6.49002 | + | 2.10874i | −0.287102 | + | 0.0932850i | ||||
\(512\) | −5.54808 | − | 21.9367i | −0.245193 | − | 0.969474i | ||||
\(513\) | 20.4682 | − | 15.1939i | 0.903693 | − | 0.670825i | ||||
\(514\) | −23.9399 | − | 7.97441i | −1.05594 | − | 0.351736i | ||||
\(515\) | −7.67161 | − | 19.9074i | −0.338051 | − | 0.877225i | ||||
\(516\) | −6.84503 | + | 7.43082i | −0.301336 | + | 0.327124i | ||||
\(517\) | 1.00232 | + | 0.728224i | 0.0440818 | + | 0.0320273i | ||||
\(518\) | −13.8586 | + | 18.7816i | −0.608912 | + | 0.825216i | ||||
\(519\) | −8.15629 | + | 1.76281i | −0.358021 | + | 0.0773787i | ||||
\(520\) | −1.03979 | − | 32.9772i | −0.0455979 | − | 1.44615i | ||||
\(521\) | 1.74394 | + | 2.40033i | 0.0764036 | + | 0.105161i | 0.845508 | − | 0.533962i | \(-0.179298\pi\) |
−0.769105 | + | 0.639123i | \(0.779298\pi\) | |||||||
\(522\) | 16.8454 | − | 1.76113i | 0.737304 | − | 0.0770825i | ||||
\(523\) | −18.7258 | + | 6.08438i | −0.818822 | + | 0.266052i | −0.688330 | − | 0.725398i | \(-0.741656\pi\) |
−0.130492 | + | 0.991449i | \(0.541656\pi\) | |||||||
\(524\) | −6.68979 | − | 21.6727i | −0.292245 | − | 0.946777i | ||||
\(525\) | −23.7517 | + | 33.1094i | −1.03661 | + | 1.44501i | ||||
\(526\) | 1.73618 | + | 1.28110i | 0.0757009 | + | 0.0558584i | ||||
\(527\) | 5.18330 | + | 15.9526i | 0.225788 | + | 0.694905i | ||||
\(528\) | −1.88731 | + | 1.02489i | −0.0821347 | + | 0.0446025i | ||||
\(529\) | 18.1875 | − | 13.2140i | 0.790763 | − | 0.574523i | ||||
\(530\) | 8.89554 | − | 0.412022i | 0.386398 | − | 0.0178971i | ||||
\(531\) | 2.61980 | − | 4.61007i | 0.113690 | − | 0.200060i | ||||
\(532\) | −13.6159 | − | 44.1111i | −0.590325 | − | 1.91246i | ||||
\(533\) | −20.1988 | + | 27.8013i | −0.874907 | + | 1.20421i | ||||
\(534\) | 1.24771 | − | 11.4346i | 0.0539936 | − | 0.494824i | ||||
\(535\) | −42.9137 | − | 11.4386i | −1.85532 | − | 0.494534i | ||||
\(536\) | 0.691967 | − | 31.2393i | 0.0298884 | − | 1.34933i | ||||
\(537\) | −30.2811 | + | 17.6210i | −1.30672 | + | 0.760400i | ||||
\(538\) | 21.3857 | + | 29.8966i | 0.922004 | + | 1.28893i | ||||
\(539\) | −1.45011 | − | 4.46297i | −0.0624605 | − | 0.192234i | ||||
\(540\) | 8.25801 | + | 21.7211i | 0.355368 | + | 0.934726i | ||||
\(541\) | 5.10979 | − | 15.7263i | 0.219687 | − | 0.676127i | −0.779101 | − | 0.626899i | \(-0.784324\pi\) |
0.998788 | − | 0.0492281i | \(-0.0156761\pi\) | |||||||
\(542\) | −3.12029 | + | 0.988438i | −0.134028 | + | 0.0424571i | ||||
\(543\) | −27.0366 | − | 24.1772i | −1.16025 | − | 1.03754i | ||||
\(544\) | 15.9924 | − | 20.3849i | 0.685668 | − | 0.873997i | ||||
\(545\) | 2.65039 | − | 4.09295i | 0.113530 | − | 0.175323i | ||||
\(546\) | 40.4077 | − | 44.5209i | 1.72929 | − | 1.90532i | ||||
\(547\) | 7.26901 | + | 10.0049i | 0.310800 | + | 0.427780i | 0.935631 | − | 0.352981i | \(-0.114832\pi\) |
−0.624830 | + | 0.780761i | \(0.714832\pi\) | |||||||
\(548\) | 17.3557 | + | 24.6453i | 0.741400 | + | 1.05279i | ||||
\(549\) | −1.60862 | − | 14.3607i | −0.0686541 | − | 0.612898i | ||||
\(550\) | −1.89301 | − | 1.10500i | −0.0807184 | − | 0.0471173i | ||||
\(551\) | −19.5846 | −0.834331 | ||||||||
\(552\) | −2.57797 | − | 2.41017i | −0.109726 | − | 0.102584i | ||||
\(553\) | −43.4979 | + | 31.6031i | −1.84972 | + | 1.34390i | ||||
\(554\) | 11.2695 | + | 0.0831967i | 0.478797 | + | 0.00353469i | ||||
\(555\) | −8.49977 | + | 10.5983i | −0.360795 | + | 0.449873i | ||||
\(556\) | 11.0819 | + | 3.78249i | 0.469975 | + | 0.160413i | ||||
\(557\) | − | 27.6754i | − | 1.17264i | −0.810079 | − | 0.586321i | \(-0.800576\pi\) | ||
0.810079 | − | 0.586321i | \(-0.199424\pi\) | |||||||
\(558\) | 6.31177 | + | 14.1975i | 0.267199 | + | 0.601030i | ||||
\(559\) | 14.4700 | + | 4.70158i | 0.612015 | + | 0.198856i | ||||
\(560\) | 42.0718 | − | 1.01572i | 1.77786 | − | 0.0429220i | ||||
\(561\) | −2.24995 | − | 0.992548i | −0.0949929 | − | 0.0419054i | ||||
\(562\) | −6.37491 | − | 8.91193i | −0.268909 | − | 0.375927i | ||||
\(563\) | 4.82684 | − | 14.8555i | 0.203427 | − | 0.626085i | −0.796347 | − | 0.604840i | \(-0.793237\pi\) |
0.999774 | − | 0.0212447i | \(-0.00676290\pi\) | |||||||
\(564\) | −13.7520 | − | 1.60339i | −0.579062 | − | 0.0675147i | ||||
\(565\) | 26.8136 | + | 17.3632i | 1.12806 | + | 0.730475i | ||||
\(566\) | −1.36353 | − | 1.90617i | −0.0573133 | − | 0.0801222i | ||||
\(567\) | −16.6937 | + | 38.9169i | −0.701069 | + | 1.63436i | ||||
\(568\) | 0.179067 | − | 0.512227i | 0.00751350 | − | 0.0214926i | ||||
\(569\) | 8.17668 | − | 11.2542i | 0.342784 | − | 0.471802i | −0.602468 | − | 0.798143i | \(-0.705816\pi\) |
0.945252 | + | 0.326341i | \(0.105816\pi\) | |||||||
\(570\) | −6.88543 | − | 25.9729i | −0.288399 | − | 1.08789i | ||||
\(571\) | −16.7956 | − | 23.1172i | −0.702875 | − | 0.967425i | −0.999921 | − | 0.0125616i | \(-0.996001\pi\) |
0.297046 | − | 0.954863i | \(-0.403999\pi\) | |||||||
\(572\) | 2.58819 | + | 1.93945i | 0.108218 | + | 0.0810926i | ||||
\(573\) | 6.93991 | − | 15.7317i | 0.289919 | − | 0.657200i | ||||
\(574\) | −35.2699 | − | 26.0251i | −1.47214 | − | 1.08626i | ||||
\(575\) | 0.739667 | − | 3.52515i | 0.0308463 | − | 0.147009i | ||||
\(576\) | 12.7701 | − | 20.3206i | 0.532086 | − | 0.846691i | ||||
\(577\) | −12.5505 | − | 38.6266i | −0.522486 | − | 1.60805i | −0.769235 | − | 0.638966i | \(-0.779362\pi\) |
0.246749 | − | 0.969079i | \(-0.420638\pi\) | |||||||
\(578\) | 5.62586 | + | 0.0415326i | 0.234005 | + | 0.00172753i | ||||
\(579\) | −25.6189 | − | 2.60422i | −1.06469 | − | 0.108228i | ||||
\(580\) | 4.85245 | − | 17.1813i | 0.201487 | − | 0.713415i | ||||
\(581\) | 11.8733 | − | 16.3422i | 0.492588 | − | 0.677989i | ||||
\(582\) | 1.31098 | + | 6.29026i | 0.0543418 | + | 0.260740i | ||||
\(583\) | −0.513094 | + | 0.706213i | −0.0212502 | + | 0.0292483i | ||||
\(584\) | 3.26451 | + | 2.48409i | 0.135086 | + | 0.102792i | ||||
\(585\) | 24.5430 | − | 24.9458i | 1.01473 | − | 1.03138i | ||||
\(586\) | 8.38161 | + | 2.79192i | 0.346241 | + | 0.115333i | ||||
\(587\) | 3.62156 | − | 11.1460i | 0.149478 | − | 0.460045i | −0.848082 | − | 0.529865i | \(-0.822242\pi\) |
0.997560 | + | 0.0698200i | \(0.0222425\pi\) | |||||||
\(588\) | 38.5703 | + | 35.5297i | 1.59061 | + | 1.46522i | ||||
\(589\) | −5.55176 | − | 17.0866i | −0.228756 | − | 0.704040i | ||||
\(590\) | −3.49100 | − | 4.36498i | −0.143722 | − | 0.179703i | ||||
\(591\) | 17.3889 | + | 29.8824i | 0.715285 | + | 1.22920i | ||||
\(592\) | 14.0251 | + | 0.414271i | 0.576428 | + | 0.0170264i | ||||
\(593\) | − | 35.0619i | − | 1.43982i | −0.694068 | − | 0.719910i | \(-0.744183\pi\) | ||
0.694068 | − | 0.719910i | \(-0.255817\pi\) | |||||||
\(594\) | −2.16843 | − | 0.697707i | −0.0889718 | − | 0.0286273i | ||||
\(595\) | 30.3748 | + | 37.4096i | 1.24524 | + | 1.53365i | ||||
\(596\) | −11.2629 | + | 15.0303i | −0.461347 | + | 0.615665i | ||||
\(597\) | 0.165743 | − | 1.63049i | 0.00678340 | − | 0.0667313i | ||||
\(598\) | −1.67960 | + | 5.04232i | −0.0686840 | + | 0.206196i | ||||
\(599\) | −10.0333 | −0.409948 | −0.204974 | − | 0.978767i | \(-0.565711\pi\) | ||||
−0.204974 | + | 0.978767i | \(0.565711\pi\) | |||||||
\(600\) | 24.4917 | + | 0.394772i | 0.999870 | + | 0.0161165i | ||||
\(601\) | −30.0077 | −1.22404 | −0.612020 | − | 0.790842i | \(-0.709643\pi\) | ||||
−0.612020 | + | 0.790842i | \(0.709643\pi\) | |||||||
\(602\) | −6.13305 | + | 18.4120i | −0.249965 | + | 0.750416i | ||||
\(603\) | 24.4775 | − | 22.3443i | 0.996802 | − | 0.909930i | ||||
\(604\) | −8.33999 | + | 11.1297i | −0.339349 | + | 0.452860i | ||||
\(605\) | −22.7510 | + | 8.76743i | −0.924960 | + | 0.356447i | ||||
\(606\) | −33.0637 | − | 14.8784i | −1.34312 | − | 0.604392i | ||||
\(607\) | 19.4685i | 0.790202i | 0.918638 | + | 0.395101i | \(0.129290\pi\) | ||||
−0.918638 | + | 0.395101i | \(0.870710\pi\) | |||||||
\(608\) | −17.1292 | + | 21.8340i | −0.694681 | + | 0.885486i | ||||
\(609\) | 28.1196 | − | 16.3632i | 1.13947 | − | 0.663070i | ||||
\(610\) | −14.6889 | − | 4.03168i | −0.594736 | − | 0.163238i | ||||
\(611\) | 6.44301 | + | 19.8295i | 0.260656 | + | 0.802217i | ||||
\(612\) | 27.3526 | − | 2.65564i | 1.10566 | − | 0.107348i | ||||
\(613\) | 8.59174 | − | 26.4427i | 0.347017 | − | 1.06801i | −0.613478 | − | 0.789712i | \(-0.710230\pi\) |
0.960495 | − | 0.278297i | \(-0.0897700\pi\) | |||||||
\(614\) | −1.86190 | − | 0.620200i | −0.0751401 | − | 0.0250292i | ||||
\(615\) | −19.9025 | − | 15.9617i | −0.802547 | − | 0.643638i | ||||
\(616\) | −2.49812 | + | 3.28294i | −0.100652 | + | 0.132273i | ||||
\(617\) | 23.5700 | − | 32.4413i | 0.948893 | − | 1.30604i | −0.00312402 | − | 0.999995i | \(-0.500994\pi\) |
0.952017 | − | 0.306044i | \(-0.0990056\pi\) | |||||||
\(618\) | −22.8791 | + | 4.76832i | −0.920332 | + | 0.191810i | ||||
\(619\) | 14.1723 | − | 19.5066i | 0.569635 | − | 0.784035i | −0.422877 | − | 0.906187i | \(-0.638980\pi\) |
0.992511 | + | 0.122152i | \(0.0389796\pi\) | |||||||
\(620\) | 16.3654 | − | 0.636976i | 0.657250 | − | 0.0255816i | ||||
\(621\) | −0.0383523 | − | 3.74303i | −0.00153902 | − | 0.150203i | ||||
\(622\) | −3.87121 | − | 0.0285790i | −0.155221 | − | 0.00114591i | ||||
\(623\) | −6.82765 | − | 21.0133i | −0.273544 | − | 0.841881i | ||||
\(624\) | −35.8338 | − | 4.71520i | −1.43450 | − | 0.188759i | ||||
\(625\) | 12.6130 | + | 21.5850i | 0.504521 | + | 0.863399i | ||||
\(626\) | −11.0537 | − | 8.15630i | −0.441793 | − | 0.325991i | ||||
\(627\) | 2.40989 | + | 1.06310i | 0.0962416 | + | 0.0424563i | ||||
\(628\) | −4.34729 | − | 3.25763i | −0.173476 | − | 0.129994i | ||||
\(629\) | 9.44360 | + | 12.9980i | 0.376541 | + | 0.518264i | ||||
\(630\) | 31.5869 | + | 31.5392i | 1.25845 | + | 1.25655i | ||||
\(631\) | 22.3581 | − | 30.7732i | 0.890061 | − | 1.22506i | −0.0834707 | − | 0.996510i | \(-0.526601\pi\) |
0.973531 | − | 0.228553i | \(-0.0733995\pi\) | |||||||
\(632\) | 30.5103 | + | 10.6660i | 1.21363 | + | 0.424270i | ||||
\(633\) | 43.3827 | − | 9.37625i | 1.72431 | − | 0.372672i | ||||
\(634\) | 9.90719 | + | 13.8499i | 0.393465 | + | 0.550052i | ||||
\(635\) | −3.08836 | + | 0.165903i | −0.122558 | + | 0.00658365i | ||||
\(636\) | 1.12972 | − | 9.68939i | 0.0447961 | − | 0.384209i | ||||
\(637\) | 24.4039 | − | 75.1076i | 0.966919 | − | 2.97587i | ||||
\(638\) | 1.01820 | + | 1.42341i | 0.0403109 | + | 0.0563534i | ||||
\(639\) | 0.524171 | − | 0.237679i | 0.0207359 | − | 0.00940245i | ||||
\(640\) | −14.9106 | − | 20.4370i | −0.589395 | − | 0.807845i | ||||
\(641\) | 1.81784 | + | 0.590654i | 0.0718006 | + | 0.0233294i | 0.344697 | − | 0.938714i | \(-0.387982\pi\) |
−0.272896 | + | 0.962043i | \(0.587982\pi\) | |||||||
\(642\) | −19.9643 | + | 44.3660i | −0.787927 | + | 1.75099i | ||||
\(643\) | 43.4574i | 1.71379i | 0.515487 | + | 0.856897i | \(0.327611\pi\) | ||||
−0.515487 | + | 0.856897i | \(0.672389\pi\) | |||||||
\(644\) | −6.41559 | − | 2.18979i | −0.252810 | − | 0.0862897i | ||||
\(645\) | −3.99812 | + | 10.5643i | −0.157426 | + | 0.415969i | ||||
\(646\) | −31.7757 | − | 0.234582i | −1.25020 | − | 0.00922952i | ||||
\(647\) | −1.51173 | + | 1.09833i | −0.0594321 | + | 0.0431800i | −0.617105 | − | 0.786881i | \(-0.711694\pi\) |
0.557673 | + | 0.830061i | \(0.311694\pi\) | |||||||
\(648\) | 24.9436 | − | 5.08109i | 0.979877 | − | 0.199604i | ||||
\(649\) | 0.547894 | 0.0215067 | ||||||||
\(650\) | −14.8428 | − | 33.7700i | −0.582184 | − | 1.32457i | ||||
\(651\) | 22.2473 | + | 19.8944i | 0.871941 | + | 0.779723i | ||||
\(652\) | 12.4541 | + | 17.6849i | 0.487740 | + | 0.692595i | ||||
\(653\) | 20.0637 | + | 27.6153i | 0.785152 | + | 1.08067i | 0.994695 | + | 0.102870i | \(0.0328026\pi\) |
−0.209542 | + | 0.977800i | \(0.567197\pi\) | |||||||
\(654\) | −3.95534 | − | 3.58991i | −0.154666 | − | 0.140377i | ||||
\(655\) | −15.9846 | − | 19.6867i | −0.624572 | − | 0.769224i | ||||
\(656\) | −0.777958 | + | 26.3377i | −0.0303742 | + | 1.02831i | ||||
\(657\) | 0.484350 | + | 4.32395i | 0.0188963 | + | 0.168694i | ||||
\(658\) | −25.3530 | + | 8.03124i | −0.988361 | + | 0.313090i | ||||
\(659\) | −0.883186 | + | 2.71817i | −0.0344040 | + | 0.105885i | −0.966784 | − | 0.255595i | \(-0.917728\pi\) |
0.932380 | + | 0.361480i | \(0.117728\pi\) | |||||||
\(660\) | −1.52974 | + | 1.85076i | −0.0595452 | + | 0.0720408i | ||||
\(661\) | 6.22903 | + | 19.1710i | 0.242281 | + | 0.745665i | 0.996072 | + | 0.0885499i | \(0.0282233\pi\) |
−0.753791 | + | 0.657115i | \(0.771777\pi\) | |||||||
\(662\) | −9.40062 | − | 13.1418i | −0.365365 | − | 0.510769i | ||||
\(663\) | −20.8149 | − | 35.7697i | −0.808382 | − | 1.38918i | ||||
\(664\) | −12.1400 | − | 0.268908i | −0.471124 | − | 0.0104357i | ||||
\(665\) | −32.5340 | − | 40.0689i | −1.26161 | − | 1.55381i | ||||
\(666\) | 9.95213 | + | 11.0652i | 0.385637 | + | 0.428769i | ||||
\(667\) | −1.69040 | + | 2.32663i | −0.0654524 | + | 0.0900875i | ||||
\(668\) | 1.02060 | + | 3.30641i | 0.0394882 | + | 0.127929i | ||||
\(669\) | −21.7569 | + | 4.70230i | −0.841172 | + | 0.181801i | ||||
\(670\) | −12.3213 | − | 32.6902i | −0.476012 | − | 1.26293i | ||||
\(671\) | 1.20798 | − | 0.877647i | 0.0466335 | − | 0.0338812i | ||||
\(672\) | 6.35159 | − | 45.6611i | 0.245018 | − | 1.76141i | ||||
\(673\) | 3.14623 | + | 9.68309i | 0.121278 | + | 0.373256i | 0.993205 | − | 0.116381i | \(-0.0371294\pi\) |
−0.871927 | + | 0.489637i | \(0.837129\pi\) | |||||||
\(674\) | −33.8615 | − | 24.9858i | −1.30430 | − | 0.962418i | ||||
\(675\) | 17.6314 | + | 19.0823i | 0.678632 | + | 0.734478i | ||||
\(676\) | 8.38488 | + | 27.1643i | 0.322495 | + | 1.04478i | ||||
\(677\) | −27.8391 | + | 9.04548i | −1.06994 | + | 0.347646i | −0.790466 | − | 0.612506i | \(-0.790162\pi\) |
−0.279479 | + | 0.960152i | \(0.590162\pi\) | |||||||
\(678\) | 23.5182 | − | 25.9121i | 0.903210 | − | 0.995149i | ||||
\(679\) | 7.25466 | + | 9.98518i | 0.278408 | + | 0.383196i | ||||
\(680\) | 8.07883 | − | 27.8183i | 0.309809 | − | 1.06678i | ||||
\(681\) | −4.19579 | − | 19.4134i | −0.160783 | − | 0.743923i | ||||
\(682\) | −0.953220 | + | 1.29183i | −0.0365007 | + | 0.0494668i | ||||
\(683\) | −0.669497 | − | 0.486418i | −0.0256176 | − | 0.0186123i | 0.574903 | − | 0.818222i | \(-0.305040\pi\) |
−0.600520 | + | 0.799609i | \(0.705040\pi\) | |||||||
\(684\) | −29.2969 | + | 2.84441i | −1.12020 | + | 0.108759i | ||||
\(685\) | 28.2881 | + | 18.3180i | 1.08083 | + | 0.699893i | ||||
\(686\) | 51.3775 | + | 17.1139i | 1.96160 | + | 0.653412i | ||||
\(687\) | 36.8681 | − | 21.4540i | 1.40661 | − | 0.818523i | ||||
\(688\) | 11.1966 | − | 3.27584i | 0.426867 | − | 0.124890i | ||||
\(689\) | −13.9715 | + | 4.53962i | −0.532273 | + | 0.172946i | ||||
\(690\) | −3.67986 | − | 1.42381i | −0.140090 | − | 0.0542034i | ||||
\(691\) | 8.31933 | + | 2.70312i | 0.316482 | + | 0.102831i | 0.462951 | − | 0.886384i | \(-0.346791\pi\) |
−0.146468 | + | 0.989215i | \(0.546791\pi\) | |||||||
\(692\) | 9.11897 | + | 3.11251i | 0.346651 | + | 0.118320i | ||||
\(693\) | −4.34837 | + | 0.487084i | −0.165181 | + | 0.0185028i | ||||
\(694\) | 7.17556 | + | 22.6517i | 0.272381 | + | 0.859848i | ||||
\(695\) | 13.0729 | − | 0.702258i | 0.495883 | − | 0.0266382i | ||||
\(696\) | −17.7145 | − | 8.28797i | −0.671465 | − | 0.314155i | ||||
\(697\) | −24.4089 | + | 17.7341i | −0.924554 | + | 0.671728i | ||||
\(698\) | 8.82032 | − | 26.4794i | 0.333854 | − | 1.00226i | ||||
\(699\) | 15.5066 | − | 17.3406i | 0.586513 | − | 0.655880i | ||||
\(700\) | 43.2129 | − | 18.6139i | 1.63329 | − | 0.703538i | ||||
\(701\) | − | 9.59764i | − | 0.362498i | −0.983437 | − | 0.181249i | \(-0.941986\pi\) | ||
0.983437 | − | 0.181249i | \(-0.0580140\pi\) | |||||||
\(702\) | −22.6215 | − | 30.9491i | −0.853795 | − | 1.16810i | ||||
\(703\) | −10.1149 | − | 13.9220i | −0.381491 | − | 0.525077i | ||||
\(704\) | 2.47745 | + | 0.109807i | 0.0933722 | + | 0.00413852i | ||||
\(705\) | −14.9328 | + | 4.07691i | −0.562401 | + | 0.153545i | ||||
\(706\) | −35.8967 | + | 11.3713i | −1.35099 | + | 0.427963i | ||||
\(707\) | −69.6450 | −2.61927 | ||||||||
\(708\) | −5.33687 | + | 3.00100i | −0.200572 | + | 0.112785i | ||||
\(709\) | 4.34478 | − | 13.3719i | 0.163172 | − | 0.502191i | −0.835725 | − | 0.549148i | \(-0.814952\pi\) |
0.998897 | + | 0.0469570i | \(0.0149524\pi\) | |||||||
\(710\) | −0.0280697 | − | 0.606023i | −0.00105344 | − | 0.0227436i | ||||
\(711\) | 14.1571 | + | 31.2217i | 0.530934 | + | 1.17091i | ||||
\(712\) | −8.04297 | + | 10.5698i | −0.301423 | + | 0.396120i | ||||
\(713\) | −2.50906 | − | 0.815242i | −0.0939649 | − | 0.0305311i | ||||
\(714\) | 45.8197 | − | 26.2122i | 1.71476 | − | 0.980968i | ||||
\(715\) | 3.49398 | + | 0.931316i | 0.130668 | + | 0.0348292i | ||||
\(716\) | 40.4504 | + | 0.597278i | 1.51170 | + | 0.0223213i | ||||
\(717\) | 0.625238 | + | 2.89290i | 0.0233499 | + | 0.108037i | ||||
\(718\) | 27.2269 | + | 20.0902i | 1.01610 | + | 0.749760i | ||||
\(719\) | 31.6902 | + | 23.0243i | 1.18184 | + | 0.858661i | 0.992379 | − | 0.123227i | \(-0.0393242\pi\) |
0.189466 | + | 0.981887i | \(0.439324\pi\) | |||||||
\(720\) | 4.76350 | − | 26.4066i | 0.177525 | − | 0.984116i | ||||
\(721\) | −36.3183 | + | 26.3868i | −1.35257 | + | 0.982697i | ||||
\(722\) | 7.16520 | + | 0.0528967i | 0.266661 | + | 0.00196861i | ||||
\(723\) | −15.2515 | + | 34.5727i | −0.567210 | + | 1.28577i | ||||
\(724\) | 12.3524 | + | 40.0179i | 0.459075 | + | 1.48725i | ||||
\(725\) | −2.13835 | − | 19.8458i | −0.0794165 | − | 0.737056i | ||||
\(726\) | 5.44943 | + | 26.1472i | 0.202247 | + | 0.970413i | ||||
\(727\) | −34.1071 | + | 11.0821i | −1.26496 | + | 0.411011i | −0.863260 | − | 0.504760i | \(-0.831581\pi\) |
−0.401701 | + | 0.915771i | \(0.631581\pi\) | |||||||
\(728\) | −66.4862 | + | 19.9861i | −2.46414 | + | 0.740735i | ||||
\(729\) | 22.1641 | + | 15.4193i | 0.820891 | + | 0.571085i | ||||
\(730\) | 4.42278 | + | 1.21393i | 0.163695 | + | 0.0449294i | ||||
\(731\) | 10.8070 | + | 7.85171i | 0.399710 | + | 0.290406i | ||||
\(732\) | −6.95936 | + | 15.1654i | −0.257225 | + | 0.560529i | ||||
\(733\) | −2.75768 | − | 2.00357i | −0.101857 | − | 0.0740036i | 0.535691 | − | 0.844414i | \(-0.320051\pi\) |
−0.637548 | + | 0.770411i | \(0.720051\pi\) | |||||||
\(734\) | −1.20254 | − | 1.68111i | −0.0443866 | − | 0.0620511i | ||||
\(735\) | 54.8348 | + | 20.7525i | 2.02261 | + | 0.765469i | ||||
\(736\) | 1.11540 | + | 3.91949i | 0.0411140 | + | 0.144474i | ||||
\(737\) | 3.25693 | + | 1.05824i | 0.119971 | + | 0.0389809i | ||||
\(738\) | −20.7794 | + | 18.6891i | −0.764899 | + | 0.687955i | ||||
\(739\) | −26.6027 | + | 8.64375i | −0.978597 | + | 0.317966i | −0.754282 | − | 0.656551i | \(-0.772015\pi\) |
−0.224316 | + | 0.974517i | \(0.572015\pi\) | |||||||
\(740\) | 14.7197 | − | 5.42426i | 0.541109 | − | 0.199400i | ||||
\(741\) | 22.2945 | + | 38.3124i | 0.819009 | + | 1.40744i | ||||
\(742\) | −5.65867 | − | 17.8632i | −0.207736 | − | 0.655780i | ||||
\(743\) | 6.48497 | 0.237910 | 0.118955 | − | 0.992900i | \(-0.462045\pi\) | ||||
0.118955 | + | 0.992900i | \(0.462045\pi\) | |||||||
\(744\) | 2.20922 | − | 17.8044i | 0.0809938 | − | 0.652742i | ||||
\(745\) | −5.40840 | + | 20.2905i | −0.198148 | + | 0.743385i | ||||
\(746\) | 27.6655 | + | 0.204239i | 1.01290 | + | 0.00747771i | ||||
\(747\) | −8.68331 | − | 9.51231i | −0.317706 | − | 0.348037i | ||||
\(748\) | 1.63496 | + | 2.32166i | 0.0597802 | + | 0.0848883i | ||||
\(749\) | 93.4519i | 3.41466i | ||||||||
\(750\) | 25.5676 | − | 9.81315i | 0.933597 | − | 0.358326i | ||||
\(751\) | − | 46.1074i | − | 1.68248i | −0.540659 | − | 0.841242i | \(-0.681825\pi\) | ||
0.540659 | − | 0.841242i | \(-0.318175\pi\) | |||||||
\(752\) | 12.6507 | + | 9.77468i | 0.461322 | + | 0.356446i | ||||
\(753\) | 28.9923 | + | 2.94714i | 1.05654 | + | 0.107400i | ||||
\(754\) | −0.217425 | + | 29.4516i | −0.00791814 | + | 1.07256i | ||||
\(755\) | −4.00482 | + | 15.0247i | −0.145750 | + | 0.546806i | ||||
\(756\) | 39.6881 | − | 28.5620i | 1.44344 | − | 1.03879i | ||||
\(757\) | −30.8632 | −1.12174 | −0.560871 | − | 0.827903i | \(-0.689534\pi\) | ||||
−0.560871 | + | 0.827903i | \(0.689534\pi\) | |||||||
\(758\) | 44.5664 | − | 14.1176i | 1.61873 | − | 0.512776i | ||||
\(759\) | 0.334299 | − | 0.194533i | 0.0121343 | − | 0.00706111i | ||||
\(760\) | −8.65312 | + | 29.7958i | −0.313882 | + | 1.08081i | ||||
\(761\) | 11.2354 | − | 3.65059i | 0.407282 | − | 0.132334i | −0.0982091 | − | 0.995166i | \(-0.531311\pi\) |
0.505491 | + | 0.862832i | \(0.331311\pi\) | |||||||
\(762\) | −0.367507 | + | 3.36802i | −0.0133134 | + | 0.122010i | ||||
\(763\) | −9.75821 | − | 3.17064i | −0.353271 | − | 0.114785i | ||||
\(764\) | −16.2331 | + | 11.4317i | −0.587293 | + | 0.413584i | ||||
\(765\) | 27.2617 | − | 14.1711i | 0.985647 | − | 0.512358i | ||||
\(766\) | 10.4503 | − | 7.47535i | 0.377585 | − | 0.270095i | ||||
\(767\) | 7.45957 | + | 5.41970i | 0.269350 | + | 0.195694i | ||||
\(768\) | −24.7335 | + | 12.5002i | −0.892492 | + | 0.451063i | ||||
\(769\) | −10.9639 | − | 7.96575i | −0.395369 | − | 0.287252i | 0.372283 | − | 0.928119i | \(-0.378575\pi\) |
−0.767652 | + | 0.640867i | \(0.778575\pi\) | |||||||
\(770\) | −1.22078 | + | 4.44775i | −0.0439939 | + | 0.160286i | ||||
\(771\) | −3.12537 | + | 30.7457i | −0.112558 | + | 1.10728i | ||||
\(772\) | 23.7952 | + | 17.8308i | 0.856406 | + | 0.641746i | ||||
\(773\) | −15.3721 | + | 4.99469i | −0.552895 | + | 0.179646i | −0.572122 | − | 0.820169i | \(-0.693880\pi\) |
0.0192269 | + | 0.999815i | \(0.493880\pi\) | |||||||
\(774\) | 10.7125 | + | 6.19274i | 0.385052 | + | 0.222593i | ||||
\(775\) | 16.7083 | − | 7.49143i | 0.600181 | − | 0.269100i | ||||
\(776\) | 2.44843 | − | 7.00380i | 0.0878937 | − | 0.251422i | ||||
\(777\) | 26.1550 | + | 11.5381i | 0.938307 | + | 0.413927i | ||||
\(778\) | 0.310718 | − | 42.0888i | 0.0111398 | − | 1.50896i | ||||
\(779\) | 26.1441 | − | 18.9948i | 0.936708 | − | 0.680558i | ||||
\(780\) | −39.1349 | + | 10.0661i | −1.40125 | + | 0.360423i | ||||
\(781\) | 0.0481119 | + | 0.0349553i | 0.00172158 | + | 0.00125080i | ||||
\(782\) | −2.77051 | + | 3.75468i | −0.0990734 | + | 0.134267i | ||||
\(783\) | −6.61198 | − | 19.6618i | −0.236293 | − | 0.702655i | ||||
\(784\) | −17.0035 | − | 58.1169i | −0.607268 | − | 2.07560i | ||||
\(785\) | −5.86872 | − | 1.56430i | −0.209464 | − | 0.0558322i | ||||
\(786\) | −24.1125 | + | 13.7941i | −0.860065 | + | 0.492020i | ||||
\(787\) | 10.9460 | + | 3.55657i | 0.390182 | + | 0.126778i | 0.497537 | − | 0.867443i | \(-0.334238\pi\) |
−0.107354 | + | 0.994221i | \(0.534238\pi\) | |||||||
\(788\) | 0.589413 | − | 39.9178i | 0.0209970 | − | 1.42201i | ||||
\(789\) | 1.06659 | − | 2.41778i | 0.0379715 | − | 0.0860753i | ||||
\(790\) | 36.0971 | − | 1.67194i | 1.28428 | − | 0.0594850i | ||||
\(791\) | 20.7714 | − | 63.9278i | 0.738546 | − | 2.27301i | ||||
\(792\) | 1.72988 | + | 1.98143i | 0.0614684 | + | 0.0704069i | ||||
\(793\) | 25.1282 | 0.892328 | ||||||||
\(794\) | 13.2322 | + | 41.7711i | 0.469592 | + | 1.48240i | ||||
\(795\) | −2.87252 | − | 10.5214i | −0.101878 | − | 0.373155i | ||||
\(796\) | −1.13482 | + | 1.51441i | −0.0402227 | + | 0.0536770i | ||||
\(797\) | −29.5293 | − | 40.6436i | −1.04598 | − | 1.43967i | −0.892241 | − | 0.451560i | \(-0.850868\pi\) |
−0.153742 | − | 0.988111i | \(-0.549132\pi\) | |||||||
\(798\) | −49.0769 | + | 28.0756i | −1.73730 | + | 0.993864i | ||||
\(799\) | 18.3059i | 0.647615i | ||||||||
\(800\) | −23.9956 | − | 14.9738i | −0.848371 | − | 0.529402i | ||||
\(801\) | −14.0001 | + | 1.56822i | −0.494668 | + | 0.0554104i | ||||
\(802\) | −3.00107 | − | 0.999658i | −0.105971 | − | 0.0352992i | ||||
\(803\) | −0.363719 | + | 0.264257i | −0.0128353 | + | 0.00932543i | ||||
\(804\) | −37.5211 | + | 7.53134i | −1.32327 | + | 0.265610i | ||||
\(805\) | −7.56825 | + | 0.406556i | −0.266746 | + | 0.0143292i | ||||
\(806\) | −25.7567 | + | 8.15914i | −0.907241 | + | 0.287393i | ||||
\(807\) | 30.0093 | − | 33.5585i | 1.05638 | − | 1.18131i | ||||
\(808\) | 23.8522 | + | 34.4070i | 0.839116 | + | 1.21043i | ||||
\(809\) | −35.0036 | − | 11.3734i | −1.23066 | − | 0.399866i | −0.379707 | − | 0.925107i | \(-0.623975\pi\) |
−0.850954 | + | 0.525241i | \(0.823975\pi\) | |||||||
\(810\) | 23.7507 | − | 15.6813i | 0.834515 | − | 0.550986i | ||||
\(811\) | −7.46379 | + | 2.42513i | −0.262089 | + | 0.0851580i | −0.437114 | − | 0.899406i | \(-0.643999\pi\) |
0.175025 | + | 0.984564i | \(0.443999\pi\) | |||||||
\(812\) | −37.5630 | − | 0.554644i | −1.31820 | − | 0.0194642i | ||||
\(813\) | 2.01621 | + | 3.46479i | 0.0707115 | + | 0.121516i | ||||
\(814\) | −0.485979 | + | 1.45895i | −0.0170336 | + | 0.0511363i | ||||
\(815\) | 20.2989 | + | 13.1446i | 0.711040 | + | 0.460434i | ||||
\(816\) | −28.6422 | − | 13.6593i | −1.00268 | − | 0.478172i | ||||
\(817\) | −11.5752 | − | 8.40986i | −0.404964 | − | 0.294224i | ||||
\(818\) | −2.38065 | − | 1.75664i | −0.0832375 | − | 0.0614195i | ||||
\(819\) | −64.0211 | − | 36.3818i | −2.23708 | − | 1.27128i | ||||
\(820\) | 10.1862 | + | 27.6422i | 0.355718 | + | 0.965307i | ||||
\(821\) | −15.7091 | − | 21.6217i | −0.548252 | − | 0.754604i | 0.441522 | − | 0.897250i | \(-0.354439\pi\) |
−0.989774 | + | 0.142647i | \(0.954439\pi\) | |||||||
\(822\) | 24.8114 | − | 27.3370i | 0.865397 | − | 0.953487i | ||||
\(823\) | −54.2224 | + | 17.6179i | −1.89007 | + | 0.614123i | −0.910326 | + | 0.413892i | \(0.864169\pi\) |
−0.979749 | + | 0.200231i | \(0.935831\pi\) | |||||||
\(824\) | 25.4744 | + | 8.90550i | 0.887443 | + | 0.310238i | ||||
\(825\) | −0.814161 | + | 2.55811i | −0.0283454 | + | 0.0890620i | ||||
\(826\) | −6.98299 | + | 9.46355i | −0.242969 | + | 0.329279i | ||||
\(827\) | −11.2942 | − | 34.7599i | −0.392737 | − | 1.20872i | −0.930710 | − | 0.365758i | \(-0.880810\pi\) |
0.537973 | − | 0.842962i | \(-0.319190\pi\) | |||||||
\(828\) | −2.19078 | + | 3.72596i | −0.0761349 | + | 0.129486i | ||||
\(829\) | −24.4947 | + | 17.7964i | −0.850735 | + | 0.618095i | −0.925348 | − | 0.379118i | \(-0.876228\pi\) |
0.0746139 | + | 0.997212i | \(0.476228\pi\) | |||||||
\(830\) | −12.7039 | + | 4.78822i | −0.440958 | + | 0.166201i | ||||
\(831\) | −2.91583 | − | 13.4912i | −0.101149 | − | 0.468004i | ||||
\(832\) | 32.6442 | + | 26.0016i | 1.13173 | + | 0.901443i | ||||
\(833\) | 40.7549 | − | 56.0944i | 1.41207 | − | 1.94355i | ||||
\(834\) | 1.55564 | − | 14.2567i | 0.0538674 | − | 0.493667i | ||||
\(835\) | 2.43863 | + | 3.00342i | 0.0843923 | + | 0.103938i | ||||
\(836\) | −1.75119 | − | 2.48670i | −0.0605661 | − | 0.0860043i | ||||
\(837\) | 15.2796 | − | 11.3423i | 0.528140 | − | 0.392046i | ||||
\(838\) | −45.4657 | + | 32.5227i | −1.57059 | + | 1.12348i | ||||
\(839\) | 1.40142 | + | 4.31312i | 0.0483823 | + | 0.148906i | 0.972329 | − | 0.233616i | \(-0.0750558\pi\) |
−0.923947 | + | 0.382521i | \(0.875056\pi\) | |||||||
\(840\) | −12.4706 | − | 50.0108i | −0.430278 | − | 1.72554i | ||||
\(841\) | 4.03663 | − | 12.4235i | 0.139194 | − | 0.428396i | ||||
\(842\) | −13.5977 | − | 42.9252i | −0.468609 | − | 1.47930i | ||||
\(843\) | −8.94553 | + | 10.0035i | −0.308101 | + | 0.344539i | ||||
\(844\) | −48.5031 | − | 16.5552i | −1.66955 | − | 0.569855i | ||||
\(845\) | 20.0349 | + | 24.6750i | 0.689222 | + | 0.848847i | ||||
\(846\) | 1.76316 | + | 16.8648i | 0.0606187 | + | 0.579825i | ||||
\(847\) | 30.1560 | + | 41.5061i | 1.03617 | + | 1.42617i | ||||
\(848\) | −6.88706 | + | 8.91342i | −0.236503 | + | 0.306088i | ||||
\(849\) | −1.91335 | + | 2.13965i | −0.0656662 | + | 0.0734325i | ||||
\(850\) | −3.23174 | − | 32.2252i | −0.110848 | − | 1.10532i | ||||
\(851\) | −2.52696 | −0.0866232 | ||||||||
\(852\) | −0.660105 | − | 0.0769637i | −0.0226148 | − | 0.00263673i | ||||
\(853\) | −23.3410 | + | 16.9582i | −0.799181 | + | 0.580639i | −0.910674 | − | 0.413126i | \(-0.864437\pi\) |
0.111493 | + | 0.993765i | \(0.464437\pi\) | |||||||
\(854\) | −0.236612 | + | 32.0506i | −0.00809669 | + | 1.09675i | ||||
\(855\) | −29.1996 | + | 15.1785i | −0.998604 | + | 0.519093i | ||||
\(856\) | 46.1685 | − | 32.0056i | 1.57801 | − | 1.09393i | ||||
\(857\) | 34.2010i | 1.16828i | 0.811651 | + | 0.584142i | \(0.198569\pi\) | ||||
−0.811651 | + | 0.584142i | \(0.801431\pi\) | |||||||
\(858\) | 1.62547 | − | 3.61222i | 0.0554925 | − | 0.123319i | ||||
\(859\) | −1.04397 | − | 0.339208i | −0.0356199 | − | 0.0115736i | 0.291153 | − | 0.956677i | \(-0.405961\pi\) |
−0.326773 | + | 0.945103i | \(0.605961\pi\) | |||||||
\(860\) | 10.2458 | − | 8.07106i | 0.349380 | − | 0.275221i | ||||
\(861\) | −21.6674 | + | 49.1165i | −0.738422 | + | 1.67389i | ||||
\(862\) | 20.1617 | − | 14.4222i | 0.686711 | − | 0.491221i | ||||
\(863\) | −13.9082 | + | 42.8050i | −0.473440 | + | 1.45710i | 0.374610 | + | 0.927183i | \(0.377777\pi\) |
−0.848050 | + | 0.529917i | \(0.822223\pi\) | |||||||
\(864\) | −27.7031 | − | 9.82533i | −0.942479 | − | 0.334265i | ||||
\(865\) | 10.7573 | − | 0.577870i | 0.365761 | − | 0.0196482i | ||||
\(866\) | 6.82302 | − | 4.88067i | 0.231856 | − | 0.165852i | ||||
\(867\) | −1.45561 | − | 6.73493i | −0.0494352 | − | 0.228730i | ||||
\(868\) | −10.1643 | − | 32.9291i | −0.345000 | − | 1.11769i | ||||
\(869\) | −2.08208 | + | 2.86574i | −0.0706297 | + | 0.0972134i | ||||
\(870\) | −21.8328 | − | 1.20245i | −0.740200 | − | 0.0407667i | ||||
\(871\) | 33.8751 | + | 46.6251i | 1.14782 | + | 1.57983i | ||||
\(872\) | 1.77561 | + | 5.90678i | 0.0601298 | + | 0.200029i | ||||
\(873\) | 7.16712 | − | 3.24985i | 0.242570 | − | 0.109991i | ||||
\(874\) | 2.96746 | − | 4.02159i | 0.100376 | − | 0.136032i | ||||
\(875\) | 37.0512 | − | 37.3430i | 1.25256 | − | 1.26242i | ||||
\(876\) | 2.09544 | − | 4.56626i | 0.0707984 | − | 0.154279i | ||||
\(877\) | 6.45467 | + | 19.8654i | 0.217959 | + | 0.670808i | 0.998930 | + | 0.0462414i | \(0.0147243\pi\) |
−0.780972 | + | 0.624567i | \(0.785276\pi\) | |||||||
\(878\) | −0.293191 | + | 39.7146i | −0.00989471 | + | 1.34030i | ||||
\(879\) | 1.09423 | − | 10.7644i | 0.0369073 | − | 0.363074i | ||||
\(880\) | 2.61544 | − | 0.920170i | 0.0881665 | − | 0.0310189i | ||||
\(881\) | −31.8924 | + | 43.8961i | −1.07448 | + | 1.47890i | −0.209026 | + | 0.977910i | \(0.567029\pi\) |
−0.865455 | + | 0.500986i | \(0.832971\pi\) | |||||||
\(882\) | 32.1439 | − | 55.6040i | 1.08234 | − | 1.87228i | ||||
\(883\) | 12.7753 | − | 17.5837i | 0.429924 | − | 0.591740i | −0.538012 | − | 0.842937i | \(-0.680824\pi\) |
0.967936 | + | 0.251198i | \(0.0808244\pi\) | |||||||
\(884\) | −0.705538 | + | 47.7822i | −0.0237298 | + | 1.60709i | ||||
\(885\) | −4.28281 | + | 5.34020i | −0.143965 | + | 0.179509i | ||||
\(886\) | 11.0799 | − | 33.2629i | 0.372237 | − | 1.11749i | ||||
\(887\) | 13.2118 | − | 40.6618i | 0.443610 | − | 1.36529i | −0.440392 | − | 0.897806i | \(-0.645160\pi\) |
0.884001 | − | 0.467484i | \(-0.154840\pi\) | |||||||
\(888\) | −3.25742 | − | 16.8731i | −0.109312 | − | 0.566224i | ||||
\(889\) | 2.01105 | + | 6.18939i | 0.0674486 | + | 0.207585i | ||||
\(890\) | −3.93044 | + | 14.3201i | −0.131749 | + | 0.480009i | ||||
\(891\) | −0.253690 | + | 2.77830i | −0.00849892 | + | 0.0930767i | ||||
\(892\) | 24.3249 | + | 8.30265i | 0.814458 | + | 0.277993i | ||||
\(893\) | − | 19.6072i | − | 0.656128i | ||||||
\(894\) | 20.9771 | + | 9.43951i | 0.701581 | + | 0.315705i | ||||
\(895\) | 42.2044 | − | 16.2641i | 1.41074 | − | 0.543649i | ||||
\(896\) | −33.4720 | + | 41.3924i | −1.11822 | + | 1.38282i | ||||
\(897\) | 6.47578 | + | 0.658279i | 0.216220 | + | 0.0219793i | ||||
\(898\) | 17.5612 | + | 5.84964i | 0.586024 | + | 0.195205i | ||||
\(899\) | −14.6200 | −0.487603 | ||||||||
\(900\) | −6.08116 | − | 29.3772i | −0.202705 | − | 0.979240i | ||||
\(901\) | −12.8980 | −0.429694 | ||||||||
\(902\) | −2.73977 | − | 0.912620i | −0.0912243 | − | 0.0303869i | ||||
\(903\) | 23.6463 | + | 2.40370i | 0.786898 | + | 0.0799901i | ||||
\(904\) | −38.6964 | + | 11.6324i | −1.28702 | + | 0.386886i | ||||
\(905\) | 29.5150 | + | 36.3508i | 0.981113 | + | 1.20834i | ||||
\(906\) | 15.5332 | + | 6.98980i | 0.516056 | + | 0.232220i | ||||
\(907\) | − | 16.9062i | − | 0.561363i | −0.959801 | − | 0.280681i | \(-0.909440\pi\) | ||
0.959801 | − | 0.280681i | \(-0.0905604\pi\) | |||||||
\(908\) | −7.40833 | + | 21.7047i | −0.245854 | + | 0.720297i | ||||
\(909\) | −8.93556 | + | 43.4974i | −0.296374 | + | 1.44272i | ||||
\(910\) | −60.6175 | + | 48.4803i | −2.00945 | + | 1.60711i | ||||
\(911\) | −12.1856 | − | 37.5035i | −0.403727 | − | 1.24254i | −0.921953 | − | 0.387301i | \(-0.873407\pi\) |
0.518226 | − | 0.855244i | \(-0.326593\pi\) | |||||||
\(912\) | 30.6783 | + | 14.6303i | 1.01586 | + | 0.484458i | ||||
\(913\) | 0.411248 | − | 1.26569i | 0.0136103 | − | 0.0418882i | ||||
\(914\) | 0.775019 | − | 2.32668i | 0.0256353 | − | 0.0769596i | ||||
\(915\) | −0.888362 | + | 18.6343i | −0.0293684 | + | 0.616032i | ||||
\(916\) | −49.2495 | − | 0.727204i | −1.62725 | − | 0.0240275i | ||||
\(917\) | −31.3644 | + | 43.1694i | −1.03574 | + | 1.42558i | ||||
\(918\) | −10.4923 | − | 31.9802i | −0.346299 | − | 1.05550i | ||||
\(919\) | 19.2126 | − | 26.4438i | 0.633764 | − | 0.872302i | −0.364499 | − | 0.931204i | \(-0.618760\pi\) |
0.998264 | + | 0.0589017i | \(0.0187599\pi\) | |||||||
\(920\) | 2.79285 | + | 3.59974i | 0.0920774 | + | 0.118680i | ||||
\(921\) | −0.243072 | + | 2.39121i | −0.00800950 | + | 0.0787930i | ||||
\(922\) | 0.00315960 | − | 0.427989i | 0.000104056 | − | 0.0140951i | ||||
\(923\) | 0.309269 | + | 0.951833i | 0.0101797 | + | 0.0313300i | ||||
\(924\) | 4.59203 | + | 2.10727i | 0.151067 | + | 0.0693242i | ||||
\(925\) | 13.0033 | − | 11.7699i | 0.427546 | − | 0.386993i | ||||
\(926\) | 14.1727 | − | 19.2073i | 0.465745 | − | 0.631191i | ||||
\(927\) | 11.8204 | + | 26.0684i | 0.388234 | + | 0.856199i | ||||
\(928\) | 12.5907 | + | 18.7474i | 0.413309 | + | 0.615414i | ||||
\(929\) | −21.1294 | − | 29.0822i | −0.693235 | − | 0.954155i | −0.999997 | − | 0.00236943i | \(-0.999246\pi\) |
0.306763 | − | 0.951786i | \(-0.400754\pi\) | |||||||
\(930\) | −5.14000 | − | 19.3889i | −0.168547 | − | 0.635786i | ||||
\(931\) | −43.6520 | + | 60.0819i | −1.43064 | + | 1.96910i | ||||
\(932\) | −25.6664 | + | 7.92254i | −0.840732 | + | 0.259511i | ||||
\(933\) | 1.00162 | + | 4.63437i | 0.0327916 | + | 0.151723i | ||||
\(934\) | 6.64648 | − | 4.75438i | 0.217479 | − | 0.155568i | ||||
\(935\) | 2.66483 | + | 1.72561i | 0.0871491 | + | 0.0564335i | ||||
\(936\) | 3.95223 | + | 44.0888i | 0.129183 | + | 1.44109i | ||||
\(937\) | −6.91605 | + | 21.2854i | −0.225937 | + | 0.695364i | 0.772258 | + | 0.635309i | \(0.219127\pi\) |
−0.998195 | + | 0.0600544i | \(0.980873\pi\) | |||||||
\(938\) | −59.7886 | + | 42.7682i | −1.95217 | + | 1.39643i | ||||
\(939\) | −6.79060 | + | 15.3932i | −0.221603 | + | 0.502338i | ||||
\(940\) | 17.2011 | + | 4.85804i | 0.561039 | + | 0.158452i | ||||
\(941\) | −6.61044 | − | 2.14786i | −0.215494 | − | 0.0700183i | 0.199280 | − | 0.979943i | \(-0.436140\pi\) |
−0.414775 | + | 0.909924i | \(0.636140\pi\) | |||||||
\(942\) | −2.73024 | + | 6.06733i | −0.0889560 | + | 0.197684i | ||||
\(943\) | − | 4.74538i | − | 0.154531i | ||||||
\(944\) | 7.06687 | + | 0.208740i | 0.230007 | + | 0.00679391i | ||||
\(945\) | 29.2431 | − | 46.1900i | 0.951277 | − | 1.50256i | ||||
\(946\) | −0.00943855 | + | 1.27851i | −0.000306874 | + | 0.0415680i | ||||
\(947\) | −24.0541 | + | 17.4763i | −0.781654 | + | 0.567905i | −0.905475 | − | 0.424400i | \(-0.860485\pi\) |
0.123821 | + | 0.992305i | \(0.460485\pi\) | |||||||
\(948\) | 4.58426 | − | 39.3185i | 0.148890 | − | 1.27701i | ||||
\(949\) | −7.56602 | −0.245603 | ||||||||
\(950\) | 3.46147 | + | 34.5160i | 0.112305 | + | 1.11985i | ||||
\(951\) | 13.9022 | − | 15.5464i | 0.450809 | − | 0.504126i | ||||
\(952\) | −60.9389 | − | 1.34983i | −1.97504 | − | 0.0437483i | ||||
\(953\) | 23.2699 | + | 32.0282i | 0.753785 | + | 1.03750i | 0.997706 | + | 0.0677013i | \(0.0215665\pi\) |
−0.243920 | + | 0.969795i | \(0.578433\pi\) | |||||||
\(954\) | −11.8827 | + | 1.24229i | −0.384715 | + | 0.0402206i | ||||
\(955\) | −12.0655 | + | 18.6325i | −0.390430 | + | 0.602934i | ||||
\(956\) | 1.10396 | − | 3.23434i | 0.0357045 | − | 0.104606i | ||||
\(957\) | 1.42878 | − | 1.59776i | 0.0461858 | − | 0.0516482i | ||||
\(958\) | −7.36796 | − | 23.2591i | −0.238048 | − | 0.751467i | ||||
\(959\) | 21.9136 | − | 67.4431i | 0.707627 | − | 2.17785i | ||||
\(960\) | −20.4361 | + | 23.2887i | −0.659572 | + | 0.751641i | ||||
\(961\) | 5.43511 | + | 16.7276i | 0.175326 | + | 0.539599i | ||||
\(962\) | −21.0484 | + | 15.0564i | −0.678627 | + | 0.485438i | ||||
\(963\) | 58.3662 | + | 11.9900i | 1.88082 | + | 0.386373i | ||||
\(964\) | 35.6747 | − | 25.1229i | 1.14900 | − | 0.809154i | ||||
\(965\) | 32.1228 | + | 8.56228i | 1.03407 | + | 0.275630i | ||||
\(966\) | −0.900602 | + | 8.25357i | −0.0289764 | + | 0.265554i | ||||
\(967\) | 20.5925 | − | 28.3432i | 0.662211 | − | 0.911456i | −0.337341 | − | 0.941383i | \(-0.609527\pi\) |
0.999552 | + | 0.0299269i | \(0.00952744\pi\) | |||||||
\(968\) | 10.1776 | − | 29.1132i | 0.327120 | − | 0.935734i | ||||
\(969\) | 8.22152 | + | 38.0399i | 0.264113 | + | 1.22202i | ||||
\(970\) | −0.383804 | − | 8.28630i | −0.0123232 | − | 0.266057i | ||||
\(971\) | −28.9361 | + | 21.0233i | −0.928605 | + | 0.674671i | −0.945651 | − | 0.325184i | \(-0.894574\pi\) |
0.0170461 | + | 0.999855i | \(0.494574\pi\) | |||||||
\(972\) | −12.7466 | − | 28.4521i | −0.408848 | − | 0.912603i | ||||
\(973\) | −8.51269 | − | 26.1994i | −0.272904 | − | 0.839913i | ||||
\(974\) | 20.2802 | − | 27.4843i | 0.649820 | − | 0.880655i | ||||
\(975\) | −36.3893 | + | 26.7751i | −1.16539 | + | 0.857489i | ||||
\(976\) | 15.9152 | − | 10.8599i | 0.509432 | − | 0.347616i | ||||
\(977\) | 23.3583 | − | 7.58956i | 0.747297 | − | 0.242811i | 0.0894791 | − | 0.995989i | \(-0.471480\pi\) |
0.657818 | + | 0.753177i | \(0.271480\pi\) | |||||||
\(978\) | 17.8041 | − | 19.6164i | 0.569313 | − | 0.627264i | ||||
\(979\) | −0.855609 | − | 1.17764i | −0.0273454 | − | 0.0376377i | ||||
\(980\) | −41.8935 | − | 53.1818i | −1.33824 | − | 1.69883i | ||||
\(981\) | −3.23224 | + | 5.68778i | −0.103198 | + | 0.181597i | ||||
\(982\) | −47.5918 | − | 35.1171i | −1.51871 | − | 1.12063i | ||||
\(983\) | 20.0064 | + | 14.5355i | 0.638104 | + | 0.463610i | 0.859198 | − | 0.511643i | \(-0.170963\pi\) |
−0.221094 | + | 0.975252i | \(0.570963\pi\) | |||||||
\(984\) | 31.6859 | − | 6.11710i | 1.01011 | − | 0.195006i | ||||
\(985\) | −16.0500 | − | 41.6487i | −0.511394 | − | 1.32704i | ||||
\(986\) | −8.17208 | + | 24.5333i | −0.260252 | + | 0.781300i | ||||
\(987\) | 16.3820 | + | 28.1521i | 0.521446 | + | 0.896090i | ||||
\(988\) | 0.755692 | − | 51.1789i | 0.0240418 | − | 1.62822i | ||||
\(989\) | −1.99817 | + | 0.649244i | −0.0635380 | + | 0.0206448i | ||||
\(990\) | 2.62126 | + | 1.33310i | 0.0833090 | + | 0.0423688i | ||||
\(991\) | 4.45109 | + | 1.44625i | 0.141393 | + | 0.0459415i | 0.378859 | − | 0.925454i | \(-0.376317\pi\) |
−0.237465 | + | 0.971396i | \(0.576317\pi\) | |||||||
\(992\) | −12.7870 | + | 16.2992i | −0.405988 | + | 0.517499i | ||||
\(993\) | −13.1913 | + | 14.7515i | −0.418614 | + | 0.468123i | ||||
\(994\) | −1.21696 | + | 0.385506i | −0.0385997 | + | 0.0122275i | ||||
\(995\) | −0.544936 | + | 2.04442i | −0.0172756 | + | 0.0648123i | ||||
\(996\) | 2.92678 | + | 14.5812i | 0.0927387 | + | 0.462024i | ||||
\(997\) | −23.0055 | + | 16.7145i | −0.728591 | + | 0.529352i | −0.889117 | − | 0.457679i | \(-0.848681\pi\) |
0.160527 | + | 0.987032i | \(0.448681\pi\) | |||||||
\(998\) | 19.9367 | + | 6.64093i | 0.631084 | + | 0.210215i | ||||
\(999\) | 10.5620 | − | 14.8550i | 0.334165 | − | 0.469992i |
(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 | 300.2.n.a.131.23 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.131.34 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.131.12 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.131.45 | yes | 224 | |
25.21 | even | 5 | inner | 300.2.n.a.71.45 | yes | 224 | |
75.71 | odd | 10 | inner | 300.2.n.a.71.12 | ✓ | 224 | |
100.71 | odd | 10 | inner | 300.2.n.a.71.34 | yes | 224 | |
300.71 | even | 10 | inner | 300.2.n.a.71.23 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.12 | ✓ | 224 | 75.71 | odd | 10 | inner | |
300.2.n.a.71.23 | yes | 224 | 300.71 | even | 10 | inner | |
300.2.n.a.71.34 | yes | 224 | 100.71 | odd | 10 | inner | |
300.2.n.a.71.45 | yes | 224 | 25.21 | even | 5 | inner | |
300.2.n.a.131.12 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.131.23 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.131.34 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.131.45 | yes | 224 | 12.11 | even | 2 | inner |