Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [152,2,Mod(5,152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(152, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("152.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 152 = 2^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 152.t (of order \(18\), degree \(6\), 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: | \(1.21372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 149.4 | ||
Character | \(\chi\) | \(=\) | 152.149 |
Dual form | 152.2.t.a.101.4 |
$q$-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 \(\left(\mathbb{Z}/152\mathbb{Z}\right)^\times\).
\(n\) | \(39\) | \(77\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30663 | − | 0.541037i | −0.923926 | − | 0.382571i | ||||
\(3\) | −0.467226 | − | 1.28369i | −0.269753 | − | 0.741140i | −0.998416 | − | 0.0562672i | \(-0.982080\pi\) |
0.728663 | − | 0.684872i | \(-0.240142\pi\) | |||||||
\(4\) | 1.41456 | + | 1.41387i | 0.707279 | + | 0.706934i | ||||
\(5\) | 1.73333 | + | 0.305632i | 0.775167 | + | 0.136683i | 0.547218 | − | 0.836990i | \(-0.315687\pi\) |
0.227949 | + | 0.973673i | \(0.426798\pi\) | |||||||
\(6\) | −0.0840336 | + | 1.93009i | −0.0343066 | + | 0.787958i | ||||
\(7\) | 1.91364 | + | 3.31452i | 0.723287 | + | 1.25277i | 0.959675 | + | 0.281112i | \(0.0907031\pi\) |
−0.236388 | + | 0.971659i | \(0.575964\pi\) | |||||||
\(8\) | −1.08335 | − | 2.61273i | −0.383022 | − | 0.923739i | ||||
\(9\) | 0.868569 | − | 0.728816i | 0.289523 | − | 0.242939i | ||||
\(10\) | −2.09945 | − | 1.33714i | −0.663906 | − | 0.422841i | ||||
\(11\) | −2.26499 | − | 1.30769i | −0.682919 | − | 0.394283i | 0.118035 | − | 0.993009i | \(-0.462341\pi\) |
−0.800954 | + | 0.598726i | \(0.795674\pi\) | |||||||
\(12\) | 1.15405 | − | 2.47645i | 0.333146 | − | 0.714890i | ||||
\(13\) | 2.03996 | − | 5.60474i | 0.565782 | − | 1.55447i | −0.245242 | − | 0.969462i | \(-0.578867\pi\) |
0.811024 | − | 0.585012i | \(-0.198910\pi\) | |||||||
\(14\) | −0.707140 | − | 5.36619i | −0.188991 | − | 1.43418i | ||||
\(15\) | −0.417517 | − | 2.36785i | −0.107802 | − | 0.611377i | ||||
\(16\) | 0.00195414 | + | 4.00000i | 0.000488536 | + | 1.00000i | ||||
\(17\) | 2.13151 | + | 1.78855i | 0.516967 | + | 0.433787i | 0.863573 | − | 0.504224i | \(-0.168221\pi\) |
−0.346606 | + | 0.938011i | \(0.612666\pi\) | |||||||
\(18\) | −1.52921 | + | 0.482364i | −0.360439 | + | 0.113694i | ||||
\(19\) | 0.713969 | + | 4.30003i | 0.163796 | + | 0.986494i | ||||
\(20\) | 2.01977 | + | 2.88303i | 0.451634 | + | 0.644665i | ||||
\(21\) | 3.36072 | − | 4.00515i | 0.733369 | − | 0.873995i | ||||
\(22\) | 2.25199 | + | 2.93411i | 0.480126 | + | 0.625554i | ||||
\(23\) | −1.10686 | − | 6.27729i | −0.230796 | − | 1.30891i | −0.851290 | − | 0.524696i | \(-0.824179\pi\) |
0.620494 | − | 0.784211i | \(-0.286932\pi\) | |||||||
\(24\) | −2.84777 | + | 2.61142i | −0.581299 | + | 0.533054i | ||||
\(25\) | −1.78746 | − | 0.650581i | −0.357492 | − | 0.130116i | ||||
\(26\) | −5.69783 | + | 6.21962i | −1.11744 | + | 1.21977i | ||||
\(27\) | −4.89056 | − | 2.82357i | −0.941189 | − | 0.543396i | ||||
\(28\) | −1.97934 | + | 7.39421i | −0.374060 | + | 1.39738i | ||||
\(29\) | 2.78015 | + | 3.31326i | 0.516261 | + | 0.615256i | 0.959693 | − | 0.281052i | \(-0.0906833\pi\) |
−0.443431 | + | 0.896308i | \(0.646239\pi\) | |||||||
\(30\) | −0.735556 | + | 3.31980i | −0.134294 | + | 0.606110i | ||||
\(31\) | 2.41499 | + | 4.18289i | 0.433746 | + | 0.751270i | 0.997192 | − | 0.0748828i | \(-0.0238583\pi\) |
−0.563447 | + | 0.826153i | \(0.690525\pi\) | |||||||
\(32\) | 2.16159 | − | 5.22757i | 0.382119 | − | 0.924113i | ||||
\(33\) | −0.620412 | + | 3.51853i | −0.108000 | + | 0.612497i | ||||
\(34\) | −1.81742 | − | 3.49020i | −0.311685 | − | 0.598564i | ||||
\(35\) | 2.30393 | + | 6.33001i | 0.389436 | + | 1.06997i | ||||
\(36\) | 2.25909 | + | 0.197089i | 0.376515 | + | 0.0328481i | ||||
\(37\) | 7.50278i | 1.23345i | 0.787179 | + | 0.616725i | \(0.211541\pi\) | ||||
−0.787179 | + | 0.616725i | \(0.788459\pi\) | |||||||
\(38\) | 1.39358 | − | 6.00483i | 0.226069 | − | 0.974111i | ||||
\(39\) | −8.14787 | −1.30470 | ||||||||
\(40\) | −1.07926 | − | 4.85982i | −0.170647 | − | 0.768404i | ||||
\(41\) | −6.78504 | + | 2.46955i | −1.05964 | + | 0.385679i | −0.812295 | − | 0.583247i | \(-0.801782\pi\) |
−0.247350 | + | 0.968926i | \(0.579560\pi\) | |||||||
\(42\) | −6.55815 | + | 3.41497i | −1.01194 | + | 0.526942i | ||||
\(43\) | −3.24204 | − | 0.571659i | −0.494407 | − | 0.0871772i | −0.0791149 | − | 0.996866i | \(-0.525209\pi\) |
−0.415292 | + | 0.909688i | \(0.636321\pi\) | |||||||
\(44\) | −1.35505 | − | 5.05220i | −0.204282 | − | 0.761647i | ||||
\(45\) | 1.72826 | − | 0.997812i | 0.257634 | − | 0.148745i | ||||
\(46\) | −1.95000 | + | 8.80095i | −0.287511 | + | 1.29763i | ||||
\(47\) | 3.73496 | − | 3.13400i | 0.544800 | − | 0.457141i | −0.328376 | − | 0.944547i | \(-0.606501\pi\) |
0.873175 | + | 0.487406i | \(0.162057\pi\) | |||||||
\(48\) | 5.13385 | − | 1.87141i | 0.741008 | − | 0.270115i | ||||
\(49\) | −3.82402 | + | 6.62340i | −0.546289 | + | 0.946200i | ||||
\(50\) | 1.98356 | + | 1.81715i | 0.280517 | + | 0.256984i | ||||
\(51\) | 1.30005 | − | 3.57186i | 0.182043 | − | 0.500160i | ||||
\(52\) | 10.8100 | − | 5.04400i | 1.49908 | − | 0.699477i | ||||
\(53\) | −1.49917 | + | 0.264344i | −0.205927 | + | 0.0363104i | −0.275660 | − | 0.961255i | \(-0.588896\pi\) |
0.0697332 | + | 0.997566i | \(0.477785\pi\) | |||||||
\(54\) | 4.86250 | + | 6.33533i | 0.661702 | + | 0.862129i | ||||
\(55\) | −3.52629 | − | 2.95890i | −0.475484 | − | 0.398979i | ||||
\(56\) | 6.58680 | − | 8.59060i | 0.880198 | − | 1.14797i | ||||
\(57\) | 5.18633 | − | 2.92560i | 0.686946 | − | 0.387505i | ||||
\(58\) | −1.84004 | − | 5.83336i | −0.241609 | − | 0.765958i | ||||
\(59\) | −4.81703 | + | 5.74071i | −0.627124 | + | 0.747377i | −0.982278 | − | 0.187431i | \(-0.939984\pi\) |
0.355154 | + | 0.934808i | \(0.384428\pi\) | |||||||
\(60\) | 2.75723 | − | 3.93978i | 0.355957 | − | 0.508624i | ||||
\(61\) | −5.64385 | + | 0.995163i | −0.722621 | + | 0.127418i | −0.522850 | − | 0.852425i | \(-0.675131\pi\) |
−0.199771 | + | 0.979843i | \(0.564020\pi\) | |||||||
\(62\) | −0.892404 | − | 6.77209i | −0.113335 | − | 0.860056i | ||||
\(63\) | 4.07780 | + | 1.48420i | 0.513755 | + | 0.186991i | ||||
\(64\) | −5.65271 | + | 5.66100i | −0.706588 | + | 0.707625i | ||||
\(65\) | 5.24890 | − | 9.09135i | 0.651045 | − | 1.12764i | ||||
\(66\) | 2.71430 | − | 4.26175i | 0.334107 | − | 0.524585i | ||||
\(67\) | −2.11430 | − | 2.51972i | −0.258302 | − | 0.307833i | 0.621271 | − | 0.783596i | \(-0.286617\pi\) |
−0.879574 | + | 0.475763i | \(0.842172\pi\) | |||||||
\(68\) | 0.486374 | + | 5.54368i | 0.0589815 | + | 0.672270i | ||||
\(69\) | −7.54096 | + | 4.35377i | −0.907825 | + | 0.524133i | ||||
\(70\) | 0.414378 | − | 9.51748i | 0.0495276 | − | 1.13756i | ||||
\(71\) | 0.236392 | − | 1.34065i | 0.0280546 | − | 0.159106i | −0.967562 | − | 0.252633i | \(-0.918703\pi\) |
0.995617 | + | 0.0935279i | \(0.0298144\pi\) | |||||||
\(72\) | −2.84516 | − | 1.47977i | −0.335306 | − | 0.174393i | ||||
\(73\) | 10.5450 | − | 3.83807i | 1.23420 | − | 0.449212i | 0.359166 | − | 0.933274i | \(-0.383061\pi\) |
0.875034 | + | 0.484062i | \(0.160839\pi\) | |||||||
\(74\) | 4.05928 | − | 9.80335i | 0.471882 | − | 1.13962i | ||||
\(75\) | 2.59851i | 0.300050i | ||||||||
\(76\) | −5.06972 | + | 7.09210i | −0.581537 | + | 0.813520i | ||||
\(77\) | − | 10.0098i | − | 1.14072i | ||||||
\(78\) | 10.6462 | + | 4.40830i | 1.20545 | + | 0.499141i | ||||
\(79\) | −6.51619 | + | 2.37170i | −0.733128 | + | 0.266837i | −0.681488 | − | 0.731829i | \(-0.738667\pi\) |
−0.0516399 | + | 0.998666i | \(0.516445\pi\) | |||||||
\(80\) | −1.21914 | + | 6.93390i | −0.136304 | + | 0.775233i | ||||
\(81\) | −0.748928 | + | 4.24738i | −0.0832143 | + | 0.471932i | ||||
\(82\) | 10.2016 | + | 0.444165i | 1.12658 | + | 0.0490498i | ||||
\(83\) | −5.89196 | + | 3.40173i | −0.646727 | + | 0.373388i | −0.787201 | − | 0.616696i | \(-0.788471\pi\) |
0.140474 | + | 0.990084i | \(0.455137\pi\) | |||||||
\(84\) | 10.4167 | − | 0.913906i | 1.13655 | − | 0.0997153i | ||||
\(85\) | 3.14796 | + | 3.75160i | 0.341444 | + | 0.406918i | ||||
\(86\) | 3.92686 | + | 2.50101i | 0.423444 | + | 0.269691i | ||||
\(87\) | 2.95424 | − | 5.11690i | 0.316728 | − | 0.548589i | ||||
\(88\) | −0.962869 | + | 7.33448i | −0.102642 | + | 0.781858i | ||||
\(89\) | −6.91135 | − | 2.51553i | −0.732602 | − | 0.266645i | −0.0513361 | − | 0.998681i | \(-0.516348\pi\) |
−0.681266 | + | 0.732036i | \(0.738570\pi\) | |||||||
\(90\) | −2.79805 | + | 0.368718i | −0.294940 | + | 0.0388663i | ||||
\(91\) | 22.4807 | − | 3.96396i | 2.35662 | − | 0.415536i | ||||
\(92\) | 7.30955 | − | 10.4446i | 0.762074 | − | 1.08892i | ||||
\(93\) | 4.24120 | − | 5.05446i | 0.439792 | − | 0.524123i | ||||
\(94\) | −6.57581 | + | 2.07423i | −0.678243 | + | 0.213940i | ||||
\(95\) | −0.0766864 | + | 7.67156i | −0.00786786 | + | 0.787085i | ||||
\(96\) | −7.72054 | − | 0.332363i | −0.787975 | − | 0.0339216i | ||||
\(97\) | −9.33891 | − | 7.83628i | −0.948223 | − | 0.795653i | 0.0307745 | − | 0.999526i | \(-0.490203\pi\) |
−0.978997 | + | 0.203873i | \(0.934647\pi\) | |||||||
\(98\) | 8.58008 | − | 6.58539i | 0.866719 | − | 0.665225i | ||||
\(99\) | −2.92036 | + | 0.514939i | −0.293507 | + | 0.0517533i | ||||
\(100\) | −1.60863 | − | 3.44752i | −0.160863 | − | 0.344752i | ||||
\(101\) | −4.36652 | + | 11.9969i | −0.434485 | + | 1.19374i | 0.508546 | + | 0.861035i | \(0.330183\pi\) |
−0.943031 | + | 0.332704i | \(0.892039\pi\) | |||||||
\(102\) | −3.63119 | + | 3.96372i | −0.359541 | + | 0.392467i | ||||
\(103\) | −2.02806 | + | 3.51270i | −0.199831 | + | 0.346117i | −0.948473 | − | 0.316857i | \(-0.897373\pi\) |
0.748643 | + | 0.662974i | \(0.230706\pi\) | |||||||
\(104\) | −16.8536 | + | 0.742033i | −1.65264 | + | 0.0727623i | ||||
\(105\) | 7.04932 | − | 5.91508i | 0.687943 | − | 0.577253i | ||||
\(106\) | 2.10188 | + | 0.465705i | 0.204152 | + | 0.0452333i | ||||
\(107\) | −1.10131 | + | 0.635844i | −0.106468 | + | 0.0614693i | −0.552288 | − | 0.833653i | \(-0.686245\pi\) |
0.445820 | + | 0.895122i | \(0.352912\pi\) | |||||||
\(108\) | −2.92584 | − | 10.9087i | −0.281539 | − | 1.04969i | ||||
\(109\) | 3.33109 | + | 0.587360i | 0.319060 | + | 0.0562589i | 0.330885 | − | 0.943671i | \(-0.392653\pi\) |
−0.0118246 | + | 0.999930i | \(0.503764\pi\) | |||||||
\(110\) | 3.00667 | + | 5.77404i | 0.286675 | + | 0.550533i | ||||
\(111\) | 9.63126 | − | 3.50549i | 0.914159 | − | 0.332727i | ||||
\(112\) | −13.2543 | + | 7.66103i | −1.25242 | + | 0.723899i | ||||
\(113\) | −15.3010 | −1.43939 | −0.719697 | − | 0.694288i | \(-0.755719\pi\) | ||||
−0.719697 | + | 0.694288i | \(0.755719\pi\) | |||||||
\(114\) | −8.35946 | + | 1.01668i | −0.782935 | + | 0.0952209i | ||||
\(115\) | − | 11.2189i | − | 1.04617i | ||||||
\(116\) | −0.751818 | + | 8.61757i | −0.0698046 | + | 0.800121i | ||||
\(117\) | −2.31298 | − | 6.35485i | −0.213835 | − | 0.587506i | ||||
\(118\) | 9.40000 | − | 4.89479i | 0.865340 | − | 0.450602i | ||||
\(119\) | −1.84924 | + | 10.4876i | −0.169520 | + | 0.961394i | ||||
\(120\) | −5.73424 | + | 3.65607i | −0.523463 | + | 0.333752i | ||||
\(121\) | −2.07989 | − | 3.60248i | −0.189081 | − | 0.327498i | ||||
\(122\) | 7.91284 | + | 1.75322i | 0.716395 | + | 0.158729i | ||||
\(123\) | 6.34028 | + | 7.55606i | 0.571684 | + | 0.681307i | ||||
\(124\) | −2.49791 | + | 9.33143i | −0.224319 | + | 0.837987i | ||||
\(125\) | −10.5207 | − | 6.07413i | −0.941001 | − | 0.543287i | ||||
\(126\) | −4.52517 | − | 4.14554i | −0.403134 | − | 0.369314i | ||||
\(127\) | 10.6056 | + | 3.86013i | 0.941097 | + | 0.342531i | 0.766599 | − | 0.642126i | \(-0.221947\pi\) |
0.174498 | + | 0.984657i | \(0.444170\pi\) | |||||||
\(128\) | 10.4488 | − | 4.33850i | 0.923552 | − | 0.383473i | ||||
\(129\) | 0.780930 | + | 4.42887i | 0.0687571 | + | 0.389941i | ||||
\(130\) | −11.7771 | + | 9.03918i | −1.03292 | + | 0.792789i | ||||
\(131\) | 7.04562 | − | 8.39664i | 0.615579 | − | 0.733618i | −0.364725 | − | 0.931115i | \(-0.618837\pi\) |
0.980303 | + | 0.197497i | \(0.0632813\pi\) | |||||||
\(132\) | −5.85235 | + | 4.09999i | −0.509381 | + | 0.356858i | ||||
\(133\) | −12.8862 | + | 10.5952i | −1.11738 | + | 0.918717i | ||||
\(134\) | 1.39934 | + | 4.43625i | 0.120885 | + | 0.383234i | ||||
\(135\) | −7.61396 | − | 6.38887i | −0.655305 | − | 0.549867i | ||||
\(136\) | 2.36382 | − | 7.50668i | 0.202696 | − | 0.643693i | ||||
\(137\) | 3.48972 | + | 19.7912i | 0.298147 | + | 1.69087i | 0.654130 | + | 0.756382i | \(0.273035\pi\) |
−0.355984 | + | 0.934492i | \(0.615854\pi\) | |||||||
\(138\) | 12.2088 | − | 1.60883i | 1.03928 | − | 0.136953i | ||||
\(139\) | 5.65104 | − | 15.5261i | 0.479315 | − | 1.31691i | −0.430761 | − | 0.902466i | \(-0.641755\pi\) |
0.910076 | − | 0.414441i | \(-0.136023\pi\) | |||||||
\(140\) | −5.69074 | + | 12.2116i | −0.480956 | + | 1.03207i | ||||
\(141\) | −5.76816 | − | 3.33025i | −0.485767 | − | 0.280458i | ||||
\(142\) | −1.03422 | + | 1.62383i | −0.0867895 | + | 0.136269i | ||||
\(143\) | −11.9497 | + | 10.0270i | −0.999287 | + | 0.838501i | ||||
\(144\) | 2.91696 | + | 3.47285i | 0.243080 | + | 0.289404i | ||||
\(145\) | 3.80627 | + | 6.59266i | 0.316094 | + | 0.547490i | ||||
\(146\) | −15.8549 | − | 0.690302i | −1.31216 | − | 0.0571298i | ||||
\(147\) | 10.2891 | + | 1.81424i | 0.848630 | + | 0.149636i | ||||
\(148\) | −10.6079 | + | 10.6131i | −0.871968 | + | 0.872394i | ||||
\(149\) | 6.28070 | + | 17.2561i | 0.514535 | + | 1.41367i | 0.876464 | + | 0.481468i | \(0.159896\pi\) |
−0.361929 | + | 0.932206i | \(0.617882\pi\) | |||||||
\(150\) | 1.40589 | − | 3.39529i | 0.114790 | − | 0.277224i | ||||
\(151\) | 13.2947 | 1.08191 | 0.540954 | − | 0.841052i | \(-0.318063\pi\) | ||||
0.540954 | + | 0.841052i | \(0.318063\pi\) | |||||||
\(152\) | 10.4613 | − | 6.52384i | 0.848526 | − | 0.529153i | ||||
\(153\) | 3.15489 | 0.255057 | ||||||||
\(154\) | −5.41566 | + | 13.0791i | −0.436406 | + | 1.05394i | ||||
\(155\) | 2.90754 | + | 7.98841i | 0.233540 | + | 0.641645i | ||||
\(156\) | −11.5256 | − | 11.5200i | −0.922790 | − | 0.922339i | ||||
\(157\) | 0.992527 | + | 0.175009i | 0.0792123 | + | 0.0139673i | 0.213114 | − | 0.977027i | \(-0.431639\pi\) |
−0.133902 | + | 0.990995i | \(0.542751\pi\) | |||||||
\(158\) | 9.79741 | + | 0.426565i | 0.779440 | + | 0.0339357i | ||||
\(159\) | 1.03979 | + | 1.80096i | 0.0824604 | + | 0.142826i | ||||
\(160\) | 5.34446 | − | 8.40043i | 0.422516 | − | 0.664112i | ||||
\(161\) | 18.6881 | − | 15.6812i | 1.47283 | − | 1.23585i | ||||
\(162\) | 3.27656 | − | 5.14456i | 0.257431 | − | 0.404195i | ||||
\(163\) | −12.9858 | − | 7.49734i | −1.01712 | − | 0.587237i | −0.103854 | − | 0.994593i | \(-0.533118\pi\) |
−0.913270 | + | 0.407356i | \(0.866451\pi\) | |||||||
\(164\) | −13.0895 | − | 6.09982i | −1.02211 | − | 0.476316i | ||||
\(165\) | −2.15075 | + | 5.90914i | −0.167436 | + | 0.460026i | ||||
\(166\) | 9.53907 | − | 1.25703i | 0.740375 | − | 0.0975643i | ||||
\(167\) | −0.413879 | − | 2.34722i | −0.0320269 | − | 0.181634i | 0.964598 | − | 0.263725i | \(-0.0849512\pi\) |
−0.996625 | + | 0.0820914i | \(0.973840\pi\) | |||||||
\(168\) | −14.1052 | − | 4.44167i | −1.08824 | − | 0.342682i | ||||
\(169\) | −17.2931 | − | 14.5106i | −1.33024 | − | 1.11620i | ||||
\(170\) | −2.08347 | − | 6.60511i | −0.159795 | − | 0.506588i | ||||
\(171\) | 3.75406 | + | 3.21452i | 0.287080 | + | 0.245820i | ||||
\(172\) | −3.77781 | − | 5.39246i | −0.288055 | − | 0.411172i | ||||
\(173\) | 11.5139 | − | 13.7218i | 0.875388 | − | 1.04325i | −0.123317 | − | 0.992367i | \(-0.539353\pi\) |
0.998705 | − | 0.0508794i | \(-0.0162024\pi\) | |||||||
\(174\) | −6.62853 | + | 5.08753i | −0.502507 | + | 0.385685i | ||||
\(175\) | −1.26418 | − | 7.16954i | −0.0955633 | − | 0.541966i | ||||
\(176\) | 5.22633 | − | 9.06250i | 0.393950 | − | 0.683112i | ||||
\(177\) | 9.61994 | + | 3.50137i | 0.723079 | + | 0.263179i | ||||
\(178\) | 7.66958 | + | 7.02615i | 0.574860 | + | 0.526633i | ||||
\(179\) | 19.7528 | + | 11.4043i | 1.47639 | + | 0.852394i | 0.999645 | − | 0.0266474i | \(-0.00848313\pi\) |
0.476745 | + | 0.879042i | \(0.341816\pi\) | |||||||
\(180\) | 3.85550 | + | 1.03207i | 0.287372 | + | 0.0769259i | ||||
\(181\) | −3.56113 | − | 4.24399i | −0.264696 | − | 0.315453i | 0.617283 | − | 0.786741i | \(-0.288233\pi\) |
−0.881979 | + | 0.471289i | \(0.843789\pi\) | |||||||
\(182\) | −31.5186 | − | 6.98348i | −2.33632 | − | 0.517650i | ||||
\(183\) | 3.91443 | + | 6.78000i | 0.289363 | + | 0.501192i | ||||
\(184\) | −15.2018 | + | 9.69242i | −1.12069 | + | 0.714535i | ||||
\(185\) | −2.29309 | + | 13.0048i | −0.168591 | + | 0.956129i | ||||
\(186\) | −8.27632 | + | 4.30966i | −0.606849 | + | 0.316000i | ||||
\(187\) | −2.48897 | − | 6.83839i | −0.182012 | − | 0.500073i | ||||
\(188\) | 9.71438 | + | 0.847507i | 0.708494 | + | 0.0618108i | ||||
\(189\) | − | 21.6131i | − | 1.57213i | ||||||
\(190\) | 4.25079 | − | 9.98239i | 0.308385 | − | 0.724199i | ||||
\(191\) | −1.52320 | −0.110215 | −0.0551073 | − | 0.998480i | \(-0.517550\pi\) | ||||
−0.0551073 | + | 0.998480i | \(0.517550\pi\) | |||||||
\(192\) | 9.90806 | + | 4.61137i | 0.715053 | + | 0.332797i | ||||
\(193\) | 9.17926 | − | 3.34098i | 0.660738 | − | 0.240489i | 0.0101828 | − | 0.999948i | \(-0.496759\pi\) |
0.650555 | + | 0.759459i | \(0.274536\pi\) | |||||||
\(194\) | 7.96278 | + | 15.2918i | 0.571694 | + | 1.09789i | ||||
\(195\) | −14.1229 | − | 2.49025i | −1.01136 | − | 0.178331i | ||||
\(196\) | −14.7739 | + | 3.96253i | −1.05528 | + | 0.283038i | ||||
\(197\) | 5.18292 | − | 2.99236i | 0.369268 | − | 0.213197i | −0.303871 | − | 0.952713i | \(-0.598279\pi\) |
0.673138 | + | 0.739517i | \(0.264946\pi\) | |||||||
\(198\) | 4.09443 | + | 0.907189i | 0.290978 | + | 0.0644711i | ||||
\(199\) | 3.61157 | − | 3.03047i | 0.256017 | − | 0.214824i | −0.505741 | − | 0.862685i | \(-0.668781\pi\) |
0.761758 | + | 0.647861i | \(0.224336\pi\) | |||||||
\(200\) | 0.236649 | + | 5.37495i | 0.0167336 | + | 0.380066i | ||||
\(201\) | −2.24669 | + | 3.89138i | −0.158469 | + | 0.274477i | ||||
\(202\) | 12.1962 | − | 13.3131i | 0.858122 | − | 0.936705i | ||||
\(203\) | −5.66165 | + | 15.5552i | −0.397370 | + | 1.09176i | ||||
\(204\) | 6.88913 | − | 3.21450i | 0.482336 | − | 0.225060i | ||||
\(205\) | −12.5154 | + | 2.20681i | −0.874117 | + | 0.154130i | ||||
\(206\) | 4.55042 | − | 3.49255i | 0.317043 | − | 0.243337i | ||||
\(207\) | −5.53637 | − | 4.64557i | −0.384805 | − | 0.322889i | ||||
\(208\) | 22.4229 | + | 8.14887i | 1.55475 | + | 0.565023i | ||||
\(209\) | 4.00598 | − | 10.6732i | 0.277099 | − | 0.738278i | ||||
\(210\) | −12.4111 | + | 3.91488i | −0.856449 | + | 0.270152i | ||||
\(211\) | 14.2288 | − | 16.9573i | 0.979553 | − | 1.16739i | −0.00633485 | − | 0.999980i | \(-0.502016\pi\) |
0.985888 | − | 0.167406i | \(-0.0535391\pi\) | |||||||
\(212\) | −2.49441 | − | 1.74570i | −0.171317 | − | 0.119895i | ||||
\(213\) | −1.83143 | + | 0.322930i | −0.125487 | + | 0.0221268i | ||||
\(214\) | 1.78302 | − | 0.234961i | 0.121885 | − | 0.0160616i | ||||
\(215\) | −5.44479 | − | 1.98174i | −0.371332 | − | 0.135154i | ||||
\(216\) | −2.07903 | + | 15.8366i | −0.141460 | + | 1.07755i | ||||
\(217\) | −9.24285 | + | 16.0091i | −0.627446 | + | 1.08677i | ||||
\(218\) | −4.03471 | − | 2.56970i | −0.273265 | − | 0.174042i | ||||
\(219\) | −9.85379 | − | 11.7433i | −0.665857 | − | 0.793538i | ||||
\(220\) | −0.804638 | − | 9.17125i | −0.0542487 | − | 0.618325i | ||||
\(221\) | 14.3725 | − | 8.29799i | 0.966801 | − | 0.558183i | ||||
\(222\) | −14.4811 | − | 0.630486i | −0.971907 | − | 0.0423154i | ||||
\(223\) | 4.15766 | − | 23.5792i | 0.278417 | − | 1.57898i | −0.449476 | − | 0.893292i | \(-0.648389\pi\) |
0.727894 | − | 0.685690i | \(-0.240500\pi\) | |||||||
\(224\) | 21.4634 | − | 2.83904i | 1.43408 | − | 0.189692i | ||||
\(225\) | −2.02668 | + | 0.737653i | −0.135112 | + | 0.0491769i | ||||
\(226\) | 19.9927 | + | 8.27838i | 1.32989 | + | 0.550670i | ||||
\(227\) | 1.68680i | 0.111957i | 0.998432 | + | 0.0559784i | \(0.0178278\pi\) | ||||
−0.998432 | + | 0.0559784i | \(0.982172\pi\) | |||||||
\(228\) | 11.4728 | + | 3.19435i | 0.759803 | + | 0.211551i | ||||
\(229\) | 3.60123i | 0.237976i | 0.992896 | + | 0.118988i | \(0.0379650\pi\) | ||||
−0.992896 | + | 0.118988i | \(0.962035\pi\) | |||||||
\(230\) | −6.06983 | + | 14.6589i | −0.400232 | + | 0.966581i | ||||
\(231\) | −12.8495 | + | 4.67683i | −0.845433 | + | 0.307713i | ||||
\(232\) | 5.64477 | − | 10.8532i | 0.370597 | − | 0.712548i | ||||
\(233\) | −0.677514 | + | 3.84237i | −0.0443854 | + | 0.251722i | −0.998925 | − | 0.0463631i | \(-0.985237\pi\) |
0.954539 | + | 0.298085i | \(0.0963480\pi\) | |||||||
\(234\) | −0.416004 | + | 9.55484i | −0.0271950 | + | 0.624619i | ||||
\(235\) | 7.43175 | − | 4.29072i | 0.484794 | − | 0.279896i | ||||
\(236\) | −14.9306 | + | 1.30993i | −0.971898 | + | 0.0852693i | ||||
\(237\) | 6.08906 | + | 7.25666i | 0.395527 | + | 0.471371i | ||||
\(238\) | 8.09043 | − | 12.7029i | 0.524425 | − | 0.823404i | ||||
\(239\) | −1.71193 | + | 2.96514i | −0.110735 | + | 0.191799i | −0.916067 | − | 0.401025i | \(-0.868654\pi\) |
0.805332 | + | 0.592825i | \(0.201987\pi\) | |||||||
\(240\) | 9.47060 | − | 1.67469i | 0.611325 | − | 0.108101i | ||||
\(241\) | 8.46332 | + | 3.08040i | 0.545171 | + | 0.198426i | 0.599900 | − | 0.800075i | \(-0.295207\pi\) |
−0.0547288 | + | 0.998501i | \(0.517429\pi\) | |||||||
\(242\) | 0.768575 | + | 5.83240i | 0.0494059 | + | 0.374921i | ||||
\(243\) | −10.8818 | + | 1.91875i | −0.698066 | + | 0.123088i | ||||
\(244\) | −9.39059 | − | 6.57194i | −0.601171 | − | 0.420726i | ||||
\(245\) | −8.65260 | + | 10.3118i | −0.552794 | + | 0.658795i | ||||
\(246\) | −4.19630 | − | 13.3033i | −0.267546 | − | 0.848187i | ||||
\(247\) | 25.5570 | + | 4.77027i | 1.62615 | + | 0.303525i | ||||
\(248\) | 8.31248 | − | 10.8413i | 0.527843 | − | 0.688421i | ||||
\(249\) | 7.11964 | + | 5.97409i | 0.451189 | + | 0.378593i | ||||
\(250\) | 10.4603 | + | 13.6287i | 0.661570 | + | 0.861957i | ||||
\(251\) | 5.43707 | − | 0.958702i | 0.343185 | − | 0.0605127i | 0.000600364 | − | 1.00000i | \(-0.499809\pi\) |
0.342584 | + | 0.939487i | \(0.388698\pi\) | |||||||
\(252\) | 3.66983 | + | 7.86496i | 0.231178 | + | 0.495446i | ||||
\(253\) | −5.70174 | + | 15.6654i | −0.358466 | + | 0.984876i | ||||
\(254\) | −11.7691 | − | 10.7818i | −0.738462 | − | 0.676510i | ||||
\(255\) | 3.34508 | − | 5.79385i | 0.209477 | − | 0.362825i | ||||
\(256\) | −16.0000 | + | 0.0156332i | −1.00000 | + | 0.000977072i | ||||
\(257\) | −16.0217 | + | 13.4438i | −0.999404 | + | 0.838600i | −0.986902 | − | 0.161322i | \(-0.948424\pi\) |
−0.0125022 | + | 0.999922i | \(0.503980\pi\) | |||||||
\(258\) | 1.37580 | − | 6.20941i | 0.0856534 | − | 0.386581i | ||||
\(259\) | −24.8681 | + | 14.3576i | −1.54523 | + | 0.892139i | ||||
\(260\) | 20.2788 | − | 5.43901i | 1.25764 | − | 0.337313i | ||||
\(261\) | 4.82951 | + | 0.851573i | 0.298939 | + | 0.0527110i | ||||
\(262\) | −13.7489 | + | 7.15936i | −0.849410 | + | 0.442307i | ||||
\(263\) | −1.63905 | + | 0.596565i | −0.101068 | + | 0.0367857i | −0.392059 | − | 0.919940i | \(-0.628237\pi\) |
0.290991 | + | 0.956726i | \(0.406015\pi\) | |||||||
\(264\) | 9.86509 | − | 2.19083i | 0.607154 | − | 0.134836i | ||||
\(265\) | −2.67934 | −0.164590 | ||||||||
\(266\) | 22.5699 | − | 6.87202i | 1.38385 | − | 0.421350i | ||||
\(267\) | 10.0474i | 0.614889i | ||||||||
\(268\) | 0.571755 | − | 6.55363i | 0.0349255 | − | 0.400327i | ||||
\(269\) | −3.49933 | − | 9.61432i | −0.213358 | − | 0.586195i | 0.786135 | − | 0.618055i | \(-0.212079\pi\) |
−0.999492 | + | 0.0318599i | \(0.989857\pi\) | |||||||
\(270\) | 6.49201 | + | 12.4673i | 0.395091 | + | 0.758737i | ||||
\(271\) | −3.72486 | + | 21.1247i | −0.226269 | + | 1.28323i | 0.633976 | + | 0.773353i | \(0.281422\pi\) |
−0.860244 | + | 0.509882i | \(0.829689\pi\) | |||||||
\(272\) | −7.15003 | + | 8.52953i | −0.433534 | + | 0.517179i | ||||
\(273\) | −15.5921 | − | 27.0063i | −0.943676 | − | 1.63449i | ||||
\(274\) | 6.14798 | − | 27.7478i | 0.371413 | − | 1.67631i | ||||
\(275\) | 3.19781 | + | 3.81100i | 0.192835 | + | 0.229812i | ||||
\(276\) | −16.8228 | − | 4.50325i | −1.01261 | − | 0.271064i | ||||
\(277\) | 12.5634 | + | 7.25348i | 0.754862 | + | 0.435820i | 0.827448 | − | 0.561543i | \(-0.189792\pi\) |
−0.0725863 | + | 0.997362i | \(0.523125\pi\) | |||||||
\(278\) | −15.7840 | + | 17.2294i | −0.946662 | + | 1.03335i | ||||
\(279\) | 5.14615 | + | 1.87304i | 0.308092 | + | 0.112136i | ||||
\(280\) | 14.0426 | − | 12.8772i | 0.839208 | − | 0.769558i | ||||
\(281\) | −4.40069 | − | 24.9576i | −0.262523 | − | 1.48884i | −0.775996 | − | 0.630738i | \(-0.782752\pi\) |
0.513473 | − | 0.858106i | \(-0.328359\pi\) | |||||||
\(282\) | 5.73506 | + | 7.47218i | 0.341518 | + | 0.444962i | ||||
\(283\) | −7.08527 | + | 8.44390i | −0.421176 | + | 0.501938i | −0.934355 | − | 0.356344i | \(-0.884023\pi\) |
0.513179 | + | 0.858282i | \(0.328468\pi\) | |||||||
\(284\) | 2.22989 | − | 1.56220i | 0.132320 | − | 0.0926994i | ||||
\(285\) | 9.88375 | − | 3.48591i | 0.585463 | − | 0.206487i | ||||
\(286\) | 21.0389 | − | 6.63635i | 1.24405 | − | 0.392416i | ||||
\(287\) | −21.1695 | − | 17.7633i | −1.24959 | − | 1.04853i | ||||
\(288\) | −1.93245 | − | 6.11591i | −0.113870 | − | 0.360383i | ||||
\(289\) | −1.60759 | − | 9.11711i | −0.0945643 | − | 0.536301i | ||||
\(290\) | −1.40652 | − | 10.6735i | −0.0825936 | − | 0.626769i | ||||
\(291\) | −5.69599 | + | 15.6496i | −0.333905 | + | 0.917395i | ||||
\(292\) | 20.3430 | + | 9.48007i | 1.19049 | + | 0.554779i | ||||
\(293\) | 9.23806 | + | 5.33360i | 0.539693 | + | 0.311592i | 0.744955 | − | 0.667115i | \(-0.232471\pi\) |
−0.205261 | + | 0.978707i | \(0.565804\pi\) | |||||||
\(294\) | −12.4624 | − | 7.93731i | −0.726825 | − | 0.462914i | ||||
\(295\) | −10.1040 | + | 8.47828i | −0.588279 | + | 0.493624i | ||||
\(296\) | 19.6027 | − | 8.12814i | 1.13939 | − | 0.472438i | ||||
\(297\) | 7.38470 | + | 12.7907i | 0.428504 | + | 0.742191i | ||||
\(298\) | 1.12963 | − | 25.9454i | 0.0654374 | − | 1.50298i | ||||
\(299\) | −37.4405 | − | 6.60177i | −2.16524 | − | 0.381790i | ||||
\(300\) | −3.67395 | + | 3.67575i | −0.212116 | + | 0.212220i | ||||
\(301\) | −4.30932 | − | 11.8398i | −0.248385 | − | 0.682432i | ||||
\(302\) | −17.3712 | − | 7.19292i | −0.999603 | − | 0.413906i | ||||
\(303\) | 17.4405 | 1.00193 | ||||||||
\(304\) | −17.1987 | + | 2.86428i | −0.986414 | + | 0.164278i | ||||
\(305\) | −10.0868 | −0.577567 | ||||||||
\(306\) | −4.12227 | − | 1.70691i | −0.235654 | − | 0.0975775i | ||||
\(307\) | −1.80674 | − | 4.96398i | −0.103116 | − | 0.283309i | 0.877396 | − | 0.479766i | \(-0.159279\pi\) |
−0.980512 | + | 0.196457i | \(0.937056\pi\) | |||||||
\(308\) | 14.1525 | − | 14.1594i | 0.806414 | − | 0.806808i | ||||
\(309\) | 5.45679 | + | 0.962179i | 0.310426 | + | 0.0547365i | ||||
\(310\) | 0.522941 | − | 12.0110i | 0.0297011 | − | 0.682178i | ||||
\(311\) | −3.54816 | − | 6.14559i | −0.201197 | − | 0.348484i | 0.747717 | − | 0.664017i | \(-0.231150\pi\) |
−0.948915 | + | 0.315533i | \(0.897817\pi\) | |||||||
\(312\) | 8.82699 | + | 21.2882i | 0.499730 | + | 1.20521i | ||||
\(313\) | 19.4806 | − | 16.3462i | 1.10111 | − | 0.923942i | 0.103612 | − | 0.994618i | \(-0.466960\pi\) |
0.997499 | + | 0.0706759i | \(0.0225156\pi\) | |||||||
\(314\) | −1.20218 | − | 0.765666i | −0.0678429 | − | 0.0432090i | ||||
\(315\) | 6.61454 | + | 3.81890i | 0.372687 | + | 0.215171i | ||||
\(316\) | −12.5708 | − | 5.85812i | −0.707163 | − | 0.329545i | ||||
\(317\) | −0.393337 | + | 1.08068i | −0.0220920 | + | 0.0606973i | −0.950248 | − | 0.311493i | \(-0.899171\pi\) |
0.928156 | + | 0.372190i | \(0.121393\pi\) | |||||||
\(318\) | −0.384228 | − | 2.91575i | −0.0215464 | − | 0.163507i | ||||
\(319\) | −1.96429 | − | 11.1401i | −0.109979 | − | 0.623724i | ||||
\(320\) | −11.5282 | + | 8.08470i | −0.644444 | + | 0.451949i | ||||
\(321\) | 1.33079 | + | 1.11666i | 0.0742774 | + | 0.0623261i | ||||
\(322\) | −32.9025 | + | 10.3785i | −1.83358 | + | 0.578373i | ||||
\(323\) | −6.16898 | + | 10.4425i | −0.343251 | + | 0.581038i | ||||
\(324\) | −7.06464 | + | 4.94929i | −0.392480 | + | 0.274961i | ||||
\(325\) | −7.29267 | + | 8.69107i | −0.404525 | + | 0.482094i | ||||
\(326\) | 12.9112 | + | 16.8220i | 0.715088 | + | 0.931685i | ||||
\(327\) | −0.802379 | − | 4.55052i | −0.0443716 | − | 0.251644i | ||||
\(328\) | 13.8028 | + | 15.0521i | 0.762134 | + | 0.831112i | ||||
\(329\) | 17.5351 | + | 6.38224i | 0.966740 | + | 0.351864i | ||||
\(330\) | 6.00729 | − | 6.55742i | 0.330691 | − | 0.360974i | ||||
\(331\) | 3.68736 | + | 2.12890i | 0.202676 | + | 0.117015i | 0.597903 | − | 0.801568i | \(-0.296001\pi\) |
−0.395227 | + | 0.918583i | \(0.629334\pi\) | |||||||
\(332\) | −13.1441 | − | 3.51852i | −0.721378 | − | 0.193104i | ||||
\(333\) | 5.46815 | + | 6.51668i | 0.299653 | + | 0.357112i | ||||
\(334\) | −0.729148 | + | 3.29087i | −0.0398972 | + | 0.180069i | ||||
\(335\) | −2.89466 | − | 5.01369i | −0.158152 | − | 0.273927i | ||||
\(336\) | 16.0272 | + | 13.4350i | 0.874353 | + | 0.732942i | ||||
\(337\) | −4.68326 | + | 26.5601i | −0.255114 | + | 1.44682i | 0.540667 | + | 0.841237i | \(0.318172\pi\) |
−0.795781 | + | 0.605585i | \(0.792939\pi\) | |||||||
\(338\) | 14.7449 | + | 28.3162i | 0.802014 | + | 1.54020i | ||||
\(339\) | 7.14900 | + | 19.6417i | 0.388281 | + | 1.06679i | ||||
\(340\) | −0.851283 | + | 9.75766i | −0.0461673 | + | 0.529183i | ||||
\(341\) | − | 12.6323i | − | 0.684075i | ||||||
\(342\) | −3.16599 | − | 6.23127i | −0.171197 | − | 0.336948i | ||||
\(343\) | −2.48025 | −0.133921 | ||||||||
\(344\) | 2.01867 | + | 9.08988i | 0.108840 | + | 0.490094i | ||||
\(345\) | −14.4016 | + | 5.24175i | −0.775355 | + | 0.282206i | ||||
\(346\) | −22.4684 | + | 11.6998i | −1.20791 | + | 0.628985i | ||||
\(347\) | −17.6565 | − | 3.11331i | −0.947849 | − | 0.167131i | −0.321706 | − | 0.946840i | \(-0.604256\pi\) |
−0.626143 | + | 0.779708i | \(0.715367\pi\) | |||||||
\(348\) | 11.4136 | − | 3.06124i | 0.611831 | − | 0.164100i | ||||
\(349\) | 17.4551 | − | 10.0777i | 0.934352 | − | 0.539449i | 0.0461670 | − | 0.998934i | \(-0.485299\pi\) |
0.888185 | + | 0.459485i | \(0.151966\pi\) | |||||||
\(350\) | −2.22716 | + | 10.0519i | −0.119047 | + | 0.537297i | ||||
\(351\) | −25.8019 | + | 21.6504i | −1.37720 | + | 1.15561i | ||||
\(352\) | −11.7320 | + | 9.01369i | −0.625319 | + | 0.480431i | ||||
\(353\) | −5.89589 | + | 10.2120i | −0.313806 | + | 0.543529i | −0.979183 | − | 0.202979i | \(-0.934938\pi\) |
0.665377 | + | 0.746508i | \(0.268271\pi\) | |||||||
\(354\) | −10.6753 | − | 9.77973i | −0.567387 | − | 0.519787i | ||||
\(355\) | 0.819490 | − | 2.25153i | 0.0434940 | − | 0.119499i | ||||
\(356\) | −6.21989 | − | 13.3301i | −0.329654 | − | 0.706494i | ||||
\(357\) | 14.3268 | − | 2.52620i | 0.758255 | − | 0.133701i | ||||
\(358\) | −19.6394 | − | 25.5881i | −1.03797 | − | 1.35237i | ||||
\(359\) | 9.80756 | + | 8.22952i | 0.517623 | + | 0.434338i | 0.863802 | − | 0.503831i | \(-0.168077\pi\) |
−0.346179 | + | 0.938169i | \(0.612521\pi\) | |||||||
\(360\) | −4.47933 | − | 3.43450i | −0.236081 | − | 0.181014i | ||||
\(361\) | −17.9805 | + | 6.14017i | −0.946342 | + | 0.323167i | ||||
\(362\) | 2.35692 | + | 7.47201i | 0.123877 | + | 0.392720i | ||||
\(363\) | −3.65269 | + | 4.35311i | −0.191717 | + | 0.228479i | ||||
\(364\) | 37.4049 | + | 26.1775i | 1.96055 | + | 1.37208i | ||||
\(365\) | 19.4510 | − | 3.42973i | 1.01811 | − | 0.179520i | ||||
\(366\) | −1.44649 | − | 10.9768i | −0.0756090 | − | 0.573766i | ||||
\(367\) | −31.4886 | − | 11.4609i | −1.64369 | − | 0.598256i | −0.656015 | − | 0.754748i | \(-0.727759\pi\) |
−0.987679 | + | 0.156492i | \(0.949981\pi\) | |||||||
\(368\) | 25.1070 | − | 4.43969i | 1.30879 | − | 0.231435i | ||||
\(369\) | −4.09342 | + | 7.09002i | −0.213095 | + | 0.369092i | ||||
\(370\) | 10.0323 | − | 15.7518i | 0.521553 | − | 0.818895i | ||||
\(371\) | −3.74504 | − | 4.46316i | −0.194433 | − | 0.231716i | ||||
\(372\) | 13.1458 | − | 1.15334i | 0.681576 | − | 0.0597980i | ||||
\(373\) | −27.8103 | + | 16.0563i | −1.43996 | + | 0.831363i | −0.997846 | − | 0.0655941i | \(-0.979106\pi\) |
−0.442117 | + | 0.896957i | \(0.645772\pi\) | |||||||
\(374\) | −0.447658 | + | 10.2819i | −0.0231478 | + | 0.531663i | ||||
\(375\) | −2.88177 | + | 16.3433i | −0.148814 | + | 0.843966i | ||||
\(376\) | −12.2346 | − | 6.36321i | −0.630949 | − | 0.328158i | ||||
\(377\) | 24.2413 | − | 8.82312i | 1.24849 | − | 0.454414i | ||||
\(378\) | −11.6935 | + | 28.2404i | −0.601449 | + | 1.45253i | ||||
\(379\) | 4.90569i | 0.251989i | 0.992031 | + | 0.125994i | \(0.0402121\pi\) | ||||
−0.992031 | + | 0.125994i | \(0.959788\pi\) | |||||||
\(380\) | −10.9551 | + | 10.7434i | −0.561982 | + | 0.551127i | ||||
\(381\) | − | 15.4179i | − | 0.789883i | ||||||
\(382\) | 1.99025 | + | 0.824104i | 0.101830 | + | 0.0421648i | ||||
\(383\) | −3.08105 | + | 1.12141i | −0.157434 | + | 0.0573015i | −0.419535 | − | 0.907739i | \(-0.637807\pi\) |
0.262101 | + | 0.965041i | \(0.415585\pi\) | |||||||
\(384\) | −10.4512 | − | 11.3860i | −0.533338 | − | 0.581038i | ||||
\(385\) | 3.05931 | − | 17.3502i | 0.155917 | − | 0.884249i | ||||
\(386\) | −13.8015 | − | 0.600897i | −0.702477 | − | 0.0305848i | ||||
\(387\) | −3.23257 | + | 1.86633i | −0.164321 | + | 0.0948707i | ||||
\(388\) | −2.13098 | − | 24.2889i | −0.108184 | − | 1.23308i | ||||
\(389\) | 11.9048 | + | 14.1876i | 0.603598 | + | 0.719340i | 0.978158 | − | 0.207863i | \(-0.0666507\pi\) |
−0.374560 | + | 0.927203i | \(0.622206\pi\) | |||||||
\(390\) | 17.1061 | + | 10.8948i | 0.866201 | + | 0.551682i | ||||
\(391\) | 8.86798 | − | 15.3598i | 0.448473 | − | 0.776778i | ||||
\(392\) | 21.4479 | + | 2.81568i | 1.08328 | + | 0.142213i | ||||
\(393\) | −14.0706 | − | 5.12128i | −0.709768 | − | 0.258334i | ||||
\(394\) | −8.39112 | + | 1.10576i | −0.422739 | + | 0.0557071i | ||||
\(395\) | −12.0195 | + | 2.11937i | −0.604769 | + | 0.106637i | ||||
\(396\) | −4.85908 | − | 3.40060i | −0.244178 | − | 0.170886i | ||||
\(397\) | 8.96487 | − | 10.6839i | 0.449934 | − | 0.536210i | −0.492629 | − | 0.870240i | \(-0.663964\pi\) |
0.942563 | + | 0.334029i | \(0.108408\pi\) | |||||||
\(398\) | −6.35858 | + | 2.00571i | −0.318727 | + | 0.100537i | ||||
\(399\) | 19.6217 | + | 11.5916i | 0.982314 | + | 0.580308i | ||||
\(400\) | 2.59883 | − | 7.15110i | 0.129942 | − | 0.357555i | ||||
\(401\) | 18.4067 | + | 15.4451i | 0.919188 | + | 0.771291i | 0.973845 | − | 0.227215i | \(-0.0729619\pi\) |
−0.0546563 | + | 0.998505i | \(0.517406\pi\) | |||||||
\(402\) | 5.04097 | − | 3.86905i | 0.251421 | − | 0.192971i | ||||
\(403\) | 28.3705 | − | 5.00248i | 1.41323 | − | 0.249191i | ||||
\(404\) | −23.1388 | + | 10.7967i | −1.15120 | + | 0.537154i | ||||
\(405\) | −2.59627 | + | 7.13320i | −0.129010 | + | 0.354452i | ||||
\(406\) | 15.8136 | − | 17.2618i | 0.784817 | − | 0.856688i | ||||
\(407\) | 9.81132 | − | 16.9937i | 0.486329 | − | 0.842346i | ||||
\(408\) | −10.7407 | + | 0.472892i | −0.531744 | + | 0.0234117i | ||||
\(409\) | 27.4590 | − | 23.0409i | 1.35776 | − | 1.13930i | 0.381095 | − | 0.924536i | \(-0.375547\pi\) |
0.976667 | − | 0.214762i | \(-0.0688974\pi\) | |||||||
\(410\) | 17.5470 | + | 3.88783i | 0.866585 | + | 0.192006i | ||||
\(411\) | 23.7753 | − | 13.7267i | 1.17275 | − | 0.677086i | ||||
\(412\) | −7.83531 | + | 2.10152i | −0.386018 | + | 0.103534i | ||||
\(413\) | −28.2457 | − | 4.98049i | −1.38988 | − | 0.245074i | ||||
\(414\) | 4.72056 | + | 9.06542i | 0.232003 | + | 0.445541i | ||||
\(415\) | −11.2524 | + | 4.09553i | −0.552357 | + | 0.201041i | ||||
\(416\) | −24.8896 | − | 22.7792i | −1.22031 | − | 1.11684i | ||||
\(417\) | −22.5710 | −1.10531 | ||||||||
\(418\) | −11.0089 | + | 11.7785i | −0.538463 | + | 0.576104i | ||||
\(419\) | − | 16.1004i | − | 0.786557i | −0.919419 | − | 0.393279i | \(-0.871341\pi\) | ||
0.919419 | − | 0.393279i | \(-0.128659\pi\) | |||||||
\(420\) | 18.3348 | + | 1.59958i | 0.894648 | + | 0.0780513i | ||||
\(421\) | −0.928735 | − | 2.55168i | −0.0452638 | − | 0.124361i | 0.915001 | − | 0.403451i | \(-0.132189\pi\) |
−0.960265 | + | 0.279090i | \(0.909967\pi\) | |||||||
\(422\) | −27.7663 | + | 14.4585i | −1.35164 | + | 0.703830i | ||||
\(423\) | 0.959958 | − | 5.44419i | 0.0466748 | − | 0.264706i | ||||
\(424\) | 2.31478 | + | 3.63054i | 0.112416 | + | 0.176315i | ||||
\(425\) | −2.64639 | − | 4.58368i | −0.128369 | − | 0.222341i | ||||
\(426\) | 2.56771 | + | 0.568919i | 0.124406 | + | 0.0275642i | ||||
\(427\) | −14.0988 | − | 16.8023i | −0.682288 | − | 0.813119i | ||||
\(428\) | −2.45687 | − | 0.657674i | −0.118757 | − | 0.0317899i | ||||
\(429\) | 18.4548 | + | 10.6549i | 0.891007 | + | 0.514423i | ||||
\(430\) | 6.04213 | + | 5.53524i | 0.291377 | + | 0.266933i | ||||
\(431\) | 27.2647 | + | 9.92353i | 1.31329 | + | 0.478000i | 0.901303 | − | 0.433189i | \(-0.142612\pi\) |
0.411990 | + | 0.911188i | \(0.364834\pi\) | |||||||
\(432\) | 11.2847 | − | 19.5678i | 0.542936 | − | 0.941454i | ||||
\(433\) | 4.76510 | + | 27.0242i | 0.228996 | + | 1.29870i | 0.854897 | + | 0.518798i | \(0.173620\pi\) |
−0.625901 | + | 0.779903i | \(0.715269\pi\) | |||||||
\(434\) | 20.7385 | − | 15.9172i | 0.995479 | − | 0.764051i | ||||
\(435\) | 6.68455 | − | 7.96634i | 0.320500 | − | 0.381957i | ||||
\(436\) | 3.88157 | + | 5.54057i | 0.185893 | + | 0.265345i | ||||
\(437\) | 26.2023 | − | 9.24131i | 1.25343 | − | 0.442072i | ||||
\(438\) | 6.52170 | + | 20.6754i | 0.311619 | + | 0.987908i | ||||
\(439\) | −2.72236 | − | 2.28433i | −0.129931 | − | 0.109025i | 0.575506 | − | 0.817797i | \(-0.304805\pi\) |
−0.705437 | + | 0.708772i | \(0.749249\pi\) | |||||||
\(440\) | −3.91062 | + | 12.4188i | −0.186431 | + | 0.592041i | ||||
\(441\) | 1.50581 | + | 8.53989i | 0.0717054 | + | 0.406661i | ||||
\(442\) | −23.2691 | + | 3.06632i | −1.10680 | + | 0.145850i | ||||
\(443\) | 11.4208 | − | 31.3785i | 0.542620 | − | 1.49084i | −0.300856 | − | 0.953670i | \(-0.597272\pi\) |
0.843476 | − | 0.537167i | \(-0.180506\pi\) | |||||||
\(444\) | 18.5803 | + | 8.65861i | 0.881781 | + | 0.410919i | ||||
\(445\) | −11.2108 | − | 6.47256i | −0.531443 | − | 0.306829i | ||||
\(446\) | −18.1897 | + | 28.5599i | −0.861309 | + | 1.35235i | ||||
\(447\) | 19.2170 | − | 16.1250i | 0.908932 | − | 0.762685i | ||||
\(448\) | −29.5807 | − | 7.90290i | −1.39756 | − | 0.373377i | ||||
\(449\) | −5.75115 | − | 9.96129i | −0.271414 | − | 0.470102i | 0.697810 | − | 0.716283i | \(-0.254158\pi\) |
−0.969224 | + | 0.246180i | \(0.920825\pi\) | |||||||
\(450\) | 3.04722 | + | 0.132672i | 0.143647 | + | 0.00625420i | ||||
\(451\) | 18.5974 | + | 3.27923i | 0.875718 | + | 0.154413i | ||||
\(452\) | −21.6441 | − | 21.6336i | −1.01805 | − | 1.01756i | ||||
\(453\) | −6.21162 | − | 17.0663i | −0.291847 | − | 0.801844i | ||||
\(454\) | 0.912619 | − | 2.20402i | 0.0428313 | − | 0.103440i | ||||
\(455\) | 40.1779 | 1.88357 | ||||||||
\(456\) | −13.2624 | − | 10.3810i | −0.621069 | − | 0.486136i | ||||
\(457\) | −10.9250 | −0.511048 | −0.255524 | − | 0.966803i | \(-0.582248\pi\) | ||||
−0.255524 | + | 0.966803i | \(0.582248\pi\) | |||||||
\(458\) | 1.94840 | − | 4.70547i | 0.0910426 | − | 0.219872i | ||||
\(459\) | −5.37419 | − | 14.7655i | −0.250846 | − | 0.689193i | ||||
\(460\) | 15.8620 | − | 15.8698i | 0.739571 | − | 0.739932i | ||||
\(461\) | −40.6685 | − | 7.17095i | −1.89412 | − | 0.333985i | −0.899445 | − | 0.437035i | \(-0.856029\pi\) |
−0.994676 | + | 0.103050i | \(0.967140\pi\) | |||||||
\(462\) | 19.3198 | + | 0.841158i | 0.898840 | + | 0.0391342i | ||||
\(463\) | −5.45960 | − | 9.45631i | −0.253729 | − | 0.439472i | 0.710820 | − | 0.703374i | \(-0.248324\pi\) |
−0.964550 | + | 0.263902i | \(0.914991\pi\) | |||||||
\(464\) | −13.2476 | + | 11.1271i | −0.615004 | + | 0.516562i | ||||
\(465\) | 8.89618 | − | 7.46478i | 0.412550 | − | 0.346171i | ||||
\(466\) | 2.96412 | − | 4.65400i | 0.137310 | − | 0.215592i | ||||
\(467\) | 18.6654 | + | 10.7765i | 0.863734 | + | 0.498677i | 0.865261 | − | 0.501322i | \(-0.167153\pi\) |
−0.00152700 | + | 0.999999i | \(0.500486\pi\) | |||||||
\(468\) | 5.71308 | − | 12.2596i | 0.264087 | − | 0.566698i | ||||
\(469\) | 4.30566 | − | 11.8297i | 0.198817 | − | 0.546245i | ||||
\(470\) | −12.0320 | + | 1.58553i | −0.554994 | + | 0.0731353i | ||||
\(471\) | −0.239076 | − | 1.35587i | −0.0110160 | − | 0.0624751i | ||||
\(472\) | 20.2174 | + | 6.36639i | 0.930583 | + | 0.293037i | ||||
\(473\) | 6.59562 | + | 5.53439i | 0.303267 | + | 0.254471i | ||||
\(474\) | −4.03002 | − | 12.7762i | −0.185105 | − | 0.586829i | ||||
\(475\) | 1.52133 | − | 8.15062i | 0.0698034 | − | 0.373976i | ||||
\(476\) | −17.4439 | + | 12.2207i | −0.799540 | + | 0.560135i | ||||
\(477\) | −1.10947 | + | 1.32222i | −0.0507993 | + | 0.0605402i | ||||
\(478\) | 3.84110 | − | 2.94813i | 0.175688 | − | 0.134844i | ||||
\(479\) | −5.48301 | − | 31.0957i | −0.250525 | − | 1.42080i | −0.807303 | − | 0.590137i | \(-0.799074\pi\) |
0.556778 | − | 0.830661i | \(-0.312037\pi\) | |||||||
\(480\) | −13.2806 | − | 2.93574i | −0.606175 | − | 0.133997i | ||||
\(481\) | 42.0511 | + | 15.3054i | 1.91737 | + | 0.697864i | ||||
\(482\) | −9.39182 | − | 8.60391i | −0.427786 | − | 0.391897i | ||||
\(483\) | −28.8613 | − | 16.6631i | −1.31324 | − | 0.758197i | ||||
\(484\) | 2.15130 | − | 8.03661i | 0.0977864 | − | 0.365301i | ||||
\(485\) | −13.7924 | − | 16.4371i | −0.626279 | − | 0.746370i | ||||
\(486\) | 15.2566 | + | 3.38034i | 0.692052 | + | 0.153335i | ||||
\(487\) | 8.73788 | + | 15.1345i | 0.395951 | + | 0.685808i | 0.993222 | − | 0.116232i | \(-0.0370816\pi\) |
−0.597271 | + | 0.802040i | \(0.703748\pi\) | |||||||
\(488\) | 8.71435 | + | 13.6677i | 0.394480 | + | 0.618710i | ||||
\(489\) | −3.55699 | + | 20.1727i | −0.160852 | + | 0.912240i | ||||
\(490\) | 16.8848 | − | 8.79228i | 0.762777 | − | 0.397195i | ||||
\(491\) | 3.77132 | + | 10.3616i | 0.170197 | + | 0.467613i | 0.995240 | − | 0.0974577i | \(-0.0310711\pi\) |
−0.825042 | + | 0.565071i | \(0.808849\pi\) | |||||||
\(492\) | −1.71456 | + | 19.6528i | −0.0772984 | + | 0.886017i | ||||
\(493\) | 12.0347i | 0.542015i | ||||||||
\(494\) | −30.8126 | − | 20.0602i | −1.38633 | − | 0.902553i | ||||
\(495\) | −5.21932 | −0.234591 | ||||||||
\(496\) | −16.7268 | + | 9.66815i | −0.751058 | + | 0.434113i | ||||
\(497\) | 4.89597 | − | 1.78199i | 0.219614 | − | 0.0799331i | ||||
\(498\) | −6.07053 | − | 11.6579i | −0.272027 | − | 0.522403i | ||||
\(499\) | 27.4017 | + | 4.83166i | 1.22667 | + | 0.216295i | 0.749193 | − | 0.662351i | \(-0.230441\pi\) |
0.477474 | + | 0.878646i | \(0.341552\pi\) | |||||||
\(500\) | −6.29414 | − | 23.4671i | −0.281482 | − | 1.04948i | ||||
\(501\) | −2.81974 | + | 1.62798i | −0.125977 | + | 0.0727326i | ||||
\(502\) | −7.62292 | − | 1.68898i | −0.340228 | − | 0.0753831i | ||||
\(503\) | −5.06697 | + | 4.25169i | −0.225925 | + | 0.189573i | −0.748723 | − | 0.662883i | \(-0.769333\pi\) |
0.522798 | + | 0.852457i | \(0.324888\pi\) | |||||||
\(504\) | −0.539876 | − | 12.2621i | −0.0240480 | − | 0.546197i | ||||
\(505\) | −11.2352 | + | 19.4600i | −0.499962 | + | 0.865960i | ||||
\(506\) | 15.9256 | − | 17.3840i | 0.707980 | − | 0.772814i | ||||
\(507\) | −10.5474 | + | 28.9787i | −0.468425 | + | 1.28699i | ||||
\(508\) | 9.54457 | + | 20.4553i | 0.423472 | + | 0.907559i | ||||
\(509\) | 12.0534 | − | 2.12533i | 0.534256 | − | 0.0942038i | 0.0999901 | − | 0.994988i | \(-0.468119\pi\) |
0.434266 | + | 0.900785i | \(0.357008\pi\) | |||||||
\(510\) | −7.50547 | + | 5.76061i | −0.332348 | + | 0.255084i | ||||
\(511\) | 32.9007 | + | 27.6069i | 1.45544 | + | 1.22126i | ||||
\(512\) | 20.9145 | + | 8.63615i | 0.924300 | + | 0.381668i | ||||
\(513\) | 8.64971 | − | 23.0455i | 0.381894 | − | 1.01748i | ||||
\(514\) | 28.2079 | − | 8.89772i | 1.24420 | − | 0.392462i | ||||
\(515\) | −4.58888 | + | 5.46882i | −0.202210 | + | 0.240985i | ||||
\(516\) | −5.15717 | + | 7.36904i | −0.227032 | + | 0.324404i | ||||
\(517\) | −12.5579 | + | 2.21430i | −0.552297 | + | 0.0973849i | ||||
\(518\) | 40.2614 | − | 5.30552i | 1.76898 | − | 0.233111i | ||||
\(519\) | −22.9941 | − | 8.36918i | −1.00933 | − | 0.367366i | ||||
\(520\) | −29.4396 | − | 3.86483i | −1.29101 | − | 0.169484i | ||||
\(521\) | −6.12941 | + | 10.6165i | −0.268534 | + | 0.465115i | −0.968484 | − | 0.249077i | \(-0.919873\pi\) |
0.699949 | + | 0.714193i | \(0.253206\pi\) | |||||||
\(522\) | −5.84965 | − | 3.72563i | −0.256032 | − | 0.163066i | ||||
\(523\) | 6.53118 | + | 7.78356i | 0.285589 | + | 0.340351i | 0.889697 | − | 0.456551i | \(-0.150915\pi\) |
−0.604109 | + | 0.796902i | \(0.706471\pi\) | |||||||
\(524\) | 21.8382 | − | 1.91597i | 0.954006 | − | 0.0836995i | ||||
\(525\) | −8.61282 | + | 4.97261i | −0.375894 | + | 0.217023i | ||||
\(526\) | 2.46439 | + | 0.107296i | 0.107453 | + | 0.00467833i | ||||
\(527\) | −2.33373 | + | 13.2352i | −0.101659 | + | 0.576535i | ||||
\(528\) | −14.0753 | − | 2.47477i | −0.612550 | − | 0.107701i | ||||
\(529\) | −16.5664 | + | 6.02967i | −0.720277 | + | 0.262159i | ||||
\(530\) | 3.50090 | + | 1.44962i | 0.152069 | + | 0.0629675i | ||||
\(531\) | 8.49693i | 0.368735i | ||||||||
\(532\) | −33.2085 | − | 3.23197i | −1.43977 | − | 0.140124i | ||||
\(533\) | 43.0661i | 1.86540i | ||||||||
\(534\) | 5.43599 | − | 13.1282i | 0.235238 | − | 0.568112i | ||||
\(535\) | −2.10327 | + | 0.765527i | −0.0909322 | + | 0.0330966i | ||||
\(536\) | −4.29282 | + | 8.25382i | −0.185422 | + | 0.356511i | ||||
\(537\) | 5.41056 | − | 30.6848i | 0.233483 | − | 1.32415i | ||||
\(538\) | −0.629377 | + | 14.4556i | −0.0271344 | + | 0.623226i | ||||
\(539\) | 17.3227 | − | 10.0013i | 0.746142 | − | 0.430785i | ||||
\(540\) | −1.73738 | − | 19.8026i | −0.0747647 | − | 0.852167i | ||||
\(541\) | 14.8292 | + | 17.6728i | 0.637557 | + | 0.759811i | 0.983982 | − | 0.178267i | \(-0.0570490\pi\) |
−0.346425 | + | 0.938078i | \(0.612605\pi\) | |||||||
\(542\) | 16.2962 | − | 25.5869i | 0.699984 | − | 1.09905i | ||||
\(543\) | −3.78412 | + | 6.55429i | −0.162392 | + | 0.281271i | ||||
\(544\) | 13.9572 | − | 7.27651i | 0.598411 | − | 0.311978i | ||||
\(545\) | 5.59434 | + | 2.03617i | 0.239635 | + | 0.0872200i | ||||
\(546\) | 5.76168 | + | 43.7231i | 0.246577 | + | 1.87117i | ||||
\(547\) | −13.3611 | + | 2.35593i | −0.571281 | + | 0.100732i | −0.451824 | − | 0.892107i | \(-0.649227\pi\) |
−0.119457 | + | 0.992839i | \(0.538115\pi\) | |||||||
\(548\) | −23.0457 | + | 32.9298i | −0.984463 | + | 1.40669i | ||||
\(549\) | −4.17678 | + | 4.97770i | −0.178261 | + | 0.212443i | ||||
\(550\) | −2.11646 | − | 6.70969i | −0.0902461 | − | 0.286102i | ||||
\(551\) | −12.2622 | + | 14.3203i | −0.522386 | + | 0.610065i | ||||
\(552\) | 19.5447 | + | 14.9858i | 0.831879 | + | 0.637839i | ||||
\(553\) | −20.3307 | − | 17.0595i | −0.864548 | − | 0.725442i | ||||
\(554\) | −12.4913 | − | 16.2749i | −0.530705 | − | 0.691453i | ||||
\(555\) | 17.7655 | − | 3.13254i | 0.754103 | − | 0.132969i | ||||
\(556\) | 29.9456 | − | 13.9728i | 1.26998 | − | 0.592577i | ||||
\(557\) | 12.9729 | − | 35.6427i | 0.549679 | − | 1.51023i | −0.284466 | − | 0.958686i | \(-0.591816\pi\) |
0.834145 | − | 0.551545i | \(-0.185961\pi\) | |||||||
\(558\) | −5.71072 | − | 5.23163i | −0.241754 | − | 0.221472i | ||||
\(559\) | −9.81762 | + | 17.0046i | −0.415241 | + | 0.719219i | ||||
\(560\) | −25.3155 | + | 9.22811i | −1.06978 | + | 0.389959i | ||||
\(561\) | −7.61548 | + | 6.39014i | −0.321526 | + | 0.269792i | ||||
\(562\) | −7.75288 | + | 34.9912i | −0.327036 | + | 1.47602i | ||||
\(563\) | 24.8787 | − | 14.3637i | 1.04851 | − | 0.605360i | 0.126281 | − | 0.991995i | \(-0.459696\pi\) |
0.922233 | + | 0.386635i | \(0.126363\pi\) | |||||||
\(564\) | −3.45087 | − | 12.8663i | −0.145308 | − | 0.541767i | ||||
\(565\) | −26.5216 | − | 4.67647i | −1.11577 | − | 0.196740i | ||||
\(566\) | 13.8263 | − | 7.19965i | 0.581162 | − | 0.302624i | ||||
\(567\) | −15.5112 | + | 5.64562i | −0.651410 | + | 0.237094i | ||||
\(568\) | −3.75884 | + | 0.834761i | −0.157718 | + | 0.0350258i | ||||
\(569\) | −14.4506 | −0.605800 | −0.302900 | − | 0.953022i | \(-0.597955\pi\) | ||||
−0.302900 | + | 0.953022i | \(0.597955\pi\) | |||||||
\(570\) | −14.8004 | − | 0.792681i | −0.619920 | − | 0.0332017i | ||||
\(571\) | 38.7437i | 1.62137i | 0.585480 | + | 0.810687i | \(0.300906\pi\) | ||||
−0.585480 | + | 0.810687i | \(0.699094\pi\) | |||||||
\(572\) | −31.0805 | − | 2.71154i | −1.29954 | − | 0.113375i | ||||
\(573\) | 0.711676 | + | 1.95531i | 0.0297307 | + | 0.0816844i | ||||
\(574\) | 18.0501 | + | 34.6635i | 0.753395 | + | 1.44683i | ||||
\(575\) | −2.10543 | + | 11.9405i | −0.0878026 | + | 0.497953i | ||||
\(576\) | −0.783941 | + | 9.03675i | −0.0326642 | + | 0.376531i | ||||
\(577\) | −15.5793 | − | 26.9841i | −0.648575 | − | 1.12336i | −0.983463 | − | 0.181107i | \(-0.942032\pi\) |
0.334889 | − | 0.942258i | \(-0.391301\pi\) | |||||||
\(578\) | −2.83216 | + | 12.7824i | −0.117802 | + | 0.531680i | ||||
\(579\) | −8.57757 | − | 10.2223i | −0.356472 | − | 0.424826i | ||||
\(580\) | −3.93695 | + | 14.7073i | −0.163473 | + | 0.610686i | ||||
\(581\) | −22.5502 | − | 13.0194i | −0.935539 | − | 0.540134i | ||||
\(582\) | 15.9095 | − | 17.3665i | 0.659472 | − | 0.719864i | ||||
\(583\) | 3.74127 | + | 1.36171i | 0.154948 | + | 0.0563964i | ||||
\(584\) | −21.4518 | − | 23.3933i | −0.887680 | − | 0.968020i | ||||
\(585\) | −2.06690 | − | 11.7219i | −0.0854556 | − | 0.484643i | ||||
\(586\) | −9.18505 | − | 11.9672i | −0.379431 | − | 0.494359i | ||||
\(587\) | 11.8358 | − | 14.1054i | 0.488517 | − | 0.582192i | −0.464323 | − | 0.885666i | \(-0.653702\pi\) |
0.952840 | + | 0.303474i | \(0.0981467\pi\) | |||||||
\(588\) | 11.9894 | + | 17.1138i | 0.494435 | + | 0.705760i | ||||
\(589\) | −16.2623 | + | 13.3710i | −0.670078 | + | 0.550942i | ||||
\(590\) | 17.7893 | − | 5.61132i | 0.732372 | − | 0.231014i | ||||
\(591\) | −6.26286 | − | 5.25516i | −0.257619 | − | 0.216168i | ||||
\(592\) | −30.0111 | + | 0.0146615i | −1.23345 | + | 0.000602585i | ||||
\(593\) | 1.95725 | + | 11.1001i | 0.0803747 | + | 0.455828i | 0.998259 | + | 0.0589799i | \(0.0187848\pi\) |
−0.917884 | + | 0.396848i | \(0.870104\pi\) | |||||||
\(594\) | −2.72884 | − | 20.7081i | −0.111966 | − | 0.849662i | ||||
\(595\) | −6.41067 | + | 17.6132i | −0.262812 | + | 0.722070i | ||||
\(596\) | −15.5134 | + | 33.2898i | −0.635454 | + | 1.36360i | ||||
\(597\) | −5.57760 | − | 3.22023i | −0.228276 | − | 0.131795i | ||||
\(598\) | 45.3491 | + | 28.8828i | 1.85446 | + | 1.18110i | ||||
\(599\) | −23.7426 | + | 19.9224i | −0.970095 | + | 0.814007i | −0.982566 | − | 0.185916i | \(-0.940475\pi\) |
0.0124703 | + | 0.999922i | \(0.496030\pi\) | |||||||
\(600\) | 6.78921 | − | 2.81510i | 0.277168 | − | 0.114926i | ||||
\(601\) | −11.2846 | − | 19.5455i | −0.460307 | − | 0.797276i | 0.538669 | − | 0.842518i | \(-0.318927\pi\) |
−0.998976 | + | 0.0452420i | \(0.985594\pi\) | |||||||
\(602\) | −0.775059 | + | 17.8017i | −0.0315891 | + | 0.725542i | ||||
\(603\) | −3.67282 | − | 0.647618i | −0.149569 | − | 0.0263730i | ||||
\(604\) | 18.8061 | + | 18.7970i | 0.765211 | + | 0.764837i | ||||
\(605\) | −2.50410 | − | 6.87995i | −0.101806 | − | 0.279710i | ||||
\(606\) | −22.7883 | − | 9.43595i | −0.925710 | − | 0.383309i | ||||
\(607\) | −15.7003 | −0.637257 | −0.318628 | − | 0.947880i | \(-0.603222\pi\) | ||||
−0.318628 | + | 0.947880i | \(0.603222\pi\) | |||||||
\(608\) | 24.0220 | + | 5.56259i | 0.974222 | + | 0.225593i | ||||
\(609\) | 22.6134 | 0.916341 | ||||||||
\(610\) | 13.1797 | + | 5.45732i | 0.533630 | + | 0.220960i | ||||
\(611\) | −9.94610 | − | 27.3267i | −0.402376 | − | 1.10552i | ||||
\(612\) | 4.46277 | + | 4.46059i | 0.180397 | + | 0.180309i | ||||
\(613\) | 27.8884 | + | 4.91748i | 1.12640 | + | 0.198615i | 0.705650 | − | 0.708561i | \(-0.250655\pi\) |
0.420752 | + | 0.907176i | \(0.361766\pi\) | |||||||
\(614\) | −0.324954 | + | 7.46359i | −0.0131141 | + | 0.301206i | ||||
\(615\) | 8.68040 | + | 15.0349i | 0.350028 | + | 0.606266i | ||||
\(616\) | −26.1529 | + | 10.8441i | −1.05373 | + | 0.436921i | ||||
\(617\) | 20.1984 | − | 16.9484i | 0.813155 | − | 0.682318i | −0.138203 | − | 0.990404i | \(-0.544133\pi\) |
0.951359 | + | 0.308086i | \(0.0996883\pi\) | |||||||
\(618\) | −6.60943 | − | 4.20953i | −0.265870 | − | 0.169332i | ||||
\(619\) | 8.70164 | + | 5.02389i | 0.349748 | + | 0.201927i | 0.664574 | − | 0.747222i | \(-0.268613\pi\) |
−0.314826 | + | 0.949149i | \(0.601946\pi\) | |||||||
\(620\) | −7.18167 | + | 15.4110i | −0.288423 | + | 0.618919i | ||||
\(621\) | −12.3112 | + | 33.8248i | −0.494032 | + | 1.35734i | ||||
\(622\) | 1.31114 | + | 9.94968i | 0.0525718 | + | 0.398946i | ||||
\(623\) | −4.88807 | − | 27.7216i | −0.195836 | − | 1.11064i | ||||
\(624\) | −0.0159221 | − | 32.5915i | −0.000637395 | − | 1.30470i | ||||
\(625\) | −9.09362 | − | 7.63045i | −0.363745 | − | 0.305218i | ||||
\(626\) | −34.2979 | + | 10.8187i | −1.37082 | + | 0.432401i | ||||
\(627\) | −15.5727 | − | 0.155668i | −0.621915 | − | 0.00621679i | ||||
\(628\) | 1.15655 | + | 1.65086i | 0.0461513 | + | 0.0658766i | ||||
\(629\) | −13.4191 | + | 15.9923i | −0.535054 | + | 0.637653i | ||||
\(630\) | −6.57658 | − | 8.56860i | −0.262017 | − | 0.341381i | ||||
\(631\) | 1.03255 | + | 5.85590i | 0.0411053 | + | 0.233120i | 0.998438 | − | 0.0558677i | \(-0.0177925\pi\) |
−0.957333 | + | 0.288987i | \(0.906681\pi\) | |||||||
\(632\) | 13.2559 | + | 14.4557i | 0.527292 | + | 0.575015i | ||||
\(633\) | −28.4160 | − | 10.3426i | −1.12943 | − | 0.411080i | ||||
\(634\) | 1.09864 | − | 1.19924i | 0.0436324 | − | 0.0476281i | ||||
\(635\) | 17.2032 | + | 9.93228i | 0.682689 | + | 0.394151i | ||||
\(636\) | −1.07548 | + | 4.01769i | −0.0426457 | + | 0.159312i | ||||
\(637\) | 29.3216 | + | 34.9441i | 1.16176 | + | 1.38454i | ||||
\(638\) | −3.46058 | + | 15.6187i | −0.137006 | + | 0.618350i | ||||
\(639\) | −0.771762 | − | 1.33673i | −0.0305304 | − | 0.0528803i | ||||
\(640\) | 19.4372 | − | 4.32655i | 0.768321 | − | 0.171022i | ||||
\(641\) | −1.53945 | + | 8.73067i | −0.0608047 | + | 0.344841i | 0.939194 | + | 0.343386i | \(0.111574\pi\) |
−0.999999 | + | 0.00145435i | \(0.999537\pi\) | |||||||
\(642\) | −1.13469 | − | 2.17907i | −0.0447827 | − | 0.0860011i | ||||
\(643\) | −11.2379 | − | 30.8759i | −0.443180 | − | 1.21763i | −0.937389 | − | 0.348284i | \(-0.886765\pi\) |
0.494209 | − | 0.869343i | \(-0.335458\pi\) | |||||||
\(644\) | 48.6065 | + | 4.24055i | 1.91536 | + | 0.167101i | ||||
\(645\) | 7.91536i | 0.311667i | ||||||||
\(646\) | 13.7104 | − | 10.3069i | 0.539427 | − | 0.405518i | ||||
\(647\) | −4.85643 | −0.190926 | −0.0954629 | − | 0.995433i | \(-0.530433\pi\) | ||||
−0.0954629 | + | 0.995433i | \(0.530433\pi\) | |||||||
\(648\) | 11.9086 | − | 2.64465i | 0.467815 | − | 0.103892i | ||||
\(649\) | 18.4176 | − | 6.70345i | 0.722953 | − | 0.263133i | ||||
\(650\) | 14.2310 | − | 7.41040i | 0.558186 | − | 0.290660i | ||||
\(651\) | 24.8692 | + | 4.38512i | 0.974702 | + | 0.171866i | ||||
\(652\) | −7.76889 | − | 28.9656i | −0.304253 | − | 1.13438i | ||||
\(653\) | −22.9690 | + | 13.2611i | −0.898846 | + | 0.518949i | −0.876826 | − | 0.480809i | \(-0.840343\pi\) |
−0.0220202 | + | 0.999758i | \(0.507010\pi\) | |||||||
\(654\) | −1.41358 | + | 6.37995i | −0.0552755 | + | 0.249476i | ||||
\(655\) | 14.7786 | − | 12.4007i | 0.577449 | − | 0.484537i | ||||
\(656\) | −9.89146 | − | 27.1353i | −0.386197 | − | 1.05946i | ||||
\(657\) | 6.36182 | − | 11.0190i | 0.248198 | − | 0.429892i | ||||
\(658\) | −19.4588 | − | 17.8263i | −0.758583 | − | 0.694943i | ||||
\(659\) | 1.53725 | − | 4.22355i | 0.0598827 | − | 0.164526i | −0.906144 | − | 0.422970i | \(-0.860987\pi\) |
0.966026 | + | 0.258444i | \(0.0832097\pi\) | |||||||
\(660\) | −11.3971 | + | 5.31795i | −0.443632 | + | 0.207001i | ||||
\(661\) | −14.3356 | + | 2.52775i | −0.557589 | + | 0.0983179i | −0.445339 | − | 0.895362i | \(-0.646917\pi\) |
−0.112250 | + | 0.993680i | \(0.535806\pi\) | |||||||
\(662\) | −3.66620 | − | 4.77668i | −0.142491 | − | 0.185651i | ||||
\(663\) | −17.3673 | − | 14.5729i | −0.674489 | − | 0.565963i | ||||
\(664\) | 15.2708 | + | 11.7088i | 0.592624 | + | 0.454391i | ||||
\(665\) | −25.5743 | + | 14.4264i | −0.991728 | + | 0.559432i | ||||
\(666\) | −3.61908 | − | 11.4734i | −0.140236 | − | 0.444584i | ||||
\(667\) | 17.7211 | − | 21.1191i | 0.686162 | − | 0.817736i | ||||
\(668\) | 2.73321 | − | 3.90546i | 0.105751 | − | 0.151107i | ||||
\(669\) | −32.2110 | + | 5.67967i | −1.24535 | + | 0.219589i | ||||
\(670\) | 1.06965 | + | 8.11715i | 0.0413242 | + | 0.313593i | ||||
\(671\) | 14.0846 | + | 5.12638i | 0.543730 | + | 0.197902i | ||||
\(672\) | −13.6727 | − | 26.2259i | −0.527436 | − | 1.01169i | ||||
\(673\) | −1.27655 | + | 2.21106i | −0.0492076 | + | 0.0852300i | −0.889580 | − | 0.456779i | \(-0.849003\pi\) |
0.840372 | + | 0.542009i | \(0.182336\pi\) | |||||||
\(674\) | 20.4893 | − | 32.1704i | 0.789218 | − | 1.23916i | ||||
\(675\) | 6.90471 | + | 8.22872i | 0.265763 | + | 0.316723i | ||||
\(676\) | −3.94598 | − | 44.9762i | −0.151768 | − | 1.72985i | ||||
\(677\) | 26.8658 | − | 15.5109i | 1.03253 | − | 0.596134i | 0.114825 | − | 0.993386i | \(-0.463369\pi\) |
0.917710 | + | 0.397252i | \(0.130036\pi\) | |||||||
\(678\) | 1.28580 | − | 29.5323i | 0.0493807 | − | 1.13418i | ||||
\(679\) | 8.10219 | − | 45.9498i | 0.310933 | − | 1.76339i | ||||
\(680\) | 6.39156 | − | 12.2891i | 0.245105 | − | 0.471264i | ||||
\(681\) | 2.16533 | − | 0.788115i | 0.0829756 | − | 0.0302006i | ||||
\(682\) | −6.83451 | + | 16.5057i | −0.261707 | + | 0.632035i | ||||
\(683\) | 39.1949i | 1.49975i | 0.661578 | + | 0.749876i | \(0.269887\pi\) | ||||
−0.661578 | + | 0.749876i | \(0.730113\pi\) | |||||||
\(684\) | 0.765433 | + | 9.85487i | 0.0292671 | + | 0.376811i | ||||
\(685\) | 35.3711i | 1.35146i | ||||||||
\(686\) | 3.24077 | + | 1.34191i | 0.123733 | + | 0.0512342i | ||||
\(687\) | 4.62287 | − | 1.68259i | 0.176374 | − | 0.0641947i | ||||
\(688\) | 2.28030 | − | 12.9693i | 0.0869357 | − | 0.494449i | ||||
\(689\) | −1.57666 | + | 8.94169i | −0.0600660 | + | 0.340651i | ||||
\(690\) | 21.6535 | + | 0.942763i | 0.824335 | + | 0.0358904i | ||||
\(691\) | −0.357391 | + | 0.206340i | −0.0135958 | + | 0.00784954i | −0.506782 | − | 0.862074i | \(-0.669165\pi\) |
0.493187 | + | 0.869923i | \(0.335832\pi\) | |||||||
\(692\) | 35.6879 | − | 3.13107i | 1.35665 | − | 0.119025i | ||||
\(693\) | −7.29529 | − | 8.69419i | −0.277125 | − | 0.330265i | ||||
\(694\) | 21.3860 | + | 13.6207i | 0.811803 | + | 0.517036i | ||||
\(695\) | 14.5404 | − | 25.1847i | 0.551548 | − | 0.955309i | ||||
\(696\) | −16.5695 | − | 2.17525i | −0.628067 | − | 0.0824525i | ||||
\(697\) | −18.8793 | − | 6.87150i | −0.715104 | − | 0.260277i | ||||
\(698\) | −28.2598 | + | 3.72399i | −1.06965 | + | 0.140955i | ||||
\(699\) | 5.24897 | − | 0.925536i | 0.198534 | − | 0.0350070i | ||||
\(700\) | 8.34852 | − | 11.9291i | 0.315544 | − | 0.450879i | ||||
\(701\) | −0.701629 | + | 0.836169i | −0.0265002 | + | 0.0315817i | −0.779132 | − | 0.626860i | \(-0.784340\pi\) |
0.752632 | + | 0.658442i | \(0.228784\pi\) | |||||||
\(702\) | 45.4271 | − | 14.3292i | 1.71454 | − | 0.540821i | ||||
\(703\) | −32.2622 | + | 5.35675i | −1.21679 | + | 0.202034i | ||||
\(704\) | 20.2061 | − | 5.43009i | 0.761547 | − | 0.204654i | ||||
\(705\) | −8.98027 | − | 7.53534i | −0.338216 | − | 0.283797i | ||||
\(706\) | 13.2288 | − | 10.1534i | 0.497872 | − | 0.382127i | ||||
\(707\) | −48.1200 | + | 8.48485i | −1.80974 | + | 0.319106i | ||||
\(708\) | 8.65749 | + | 18.5542i | 0.325369 | + | 0.697310i | ||||
\(709\) | 15.5133 | − | 42.6225i | 0.582615 | − | 1.60072i | −0.201080 | − | 0.979575i | \(-0.564445\pi\) |
0.783695 | − | 0.621146i | \(-0.213333\pi\) | |||||||
\(710\) | −2.28893 | + | 2.49854i | −0.0859020 | + | 0.0937685i | ||||
\(711\) | −3.93123 | + | 6.80908i | −0.147433 | + | 0.255361i | ||||
\(712\) | 0.915021 | + | 20.7827i | 0.0342919 | + | 0.778864i | ||||
\(713\) | 23.5842 | − | 19.7895i | 0.883235 | − | 0.741122i | ||||
\(714\) | −20.0866 | − | 4.45052i | −0.751722 | − | 0.166556i | ||||
\(715\) | −23.7773 | + | 13.7279i | −0.889222 | + | 0.513393i | ||||
\(716\) | 11.8173 | + | 44.0598i | 0.441634 | + | 1.64659i | ||||
\(717\) | 4.60619 | + | 0.812195i | 0.172021 | + | 0.0303320i | ||||
\(718\) | −8.36238 | − | 16.0592i | −0.312081 | − | 0.599323i | ||||
\(719\) | 27.5011 | − | 10.0096i | 1.02562 | − | 0.373295i | 0.226207 | − | 0.974079i | \(-0.427367\pi\) |
0.799411 | + | 0.600785i | \(0.205145\pi\) | |||||||
\(720\) | 3.99463 | + | 6.91110i | 0.148871 | + | 0.257561i | ||||
\(721\) | −15.5239 | −0.578140 | ||||||||
\(722\) | 26.8159 | + | 1.70518i | 0.997984 | + | 0.0634602i | ||||
\(723\) | − | 12.3035i | − | 0.457574i | ||||||
\(724\) | 0.963012 | − | 11.0383i | 0.0357901 | − | 0.410236i | ||||
\(725\) | −2.81386 | − | 7.73102i | −0.104504 | − | 0.287123i | ||||
\(726\) | 7.12791 | − | 3.71166i | 0.264541 | − | 0.137753i | ||||
\(727\) | −4.42851 | + | 25.1153i | −0.164244 | + | 0.931476i | 0.785596 | + | 0.618740i | \(0.212357\pi\) |
−0.949840 | + | 0.312736i | \(0.898754\pi\) | |||||||
\(728\) | −34.7113 | − | 54.4417i | −1.28648 | − | 2.01774i | ||||
\(729\) | 14.0167 | + | 24.2776i | 0.519137 | + | 0.899171i | ||||
\(730\) | −27.2708 | − | 6.04229i | −1.00934 | − | 0.223635i | ||||
\(731\) | −5.88800 | − | 7.01705i | −0.217776 | − | 0.259535i | ||||
\(732\) | −4.04883 | + | 15.1252i | −0.149649 | + | 0.559043i | ||||
\(733\) | −24.3750 | − | 14.0729i | −0.900312 | − | 0.519795i | −0.0230105 | − | 0.999735i | \(-0.507325\pi\) |
−0.877301 | + | 0.479940i | \(0.840658\pi\) | |||||||
\(734\) | 34.9432 | + | 32.0117i | 1.28978 | + | 1.18157i | ||||
\(735\) | 17.2798 | + | 6.28935i | 0.637377 | + | 0.231986i | ||||
\(736\) | −35.2076 | − | 7.78278i | −1.29777 | − | 0.286877i | ||||
\(737\) | 1.49384 | + | 8.47198i | 0.0550262 | + | 0.312069i | ||||
\(738\) | 9.18455 | − | 7.04933i | 0.338088 | − | 0.259489i | ||||
\(739\) | −23.3977 | + | 27.8843i | −0.860699 | + | 1.02574i | 0.138674 | + | 0.990338i | \(0.455716\pi\) |
−0.999373 | + | 0.0354033i | \(0.988728\pi\) | |||||||
\(740\) | −21.6307 | + | 15.1539i | −0.795161 | + | 0.557068i | ||||
\(741\) | −5.81733 | − | 35.0361i | −0.213705 | − | 1.28708i | ||||
\(742\) | 2.47864 | + | 7.85790i | 0.0909938 | + | 0.288473i | ||||
\(743\) | 33.0844 | + | 27.7611i | 1.21375 | + | 1.01845i | 0.999128 | + | 0.0417571i | \(0.0132956\pi\) |
0.214619 | + | 0.976698i | \(0.431149\pi\) | |||||||
\(744\) | −17.8006 | − | 5.60535i | −0.652603 | − | 0.205502i | ||||
\(745\) | 5.61248 | + | 31.8300i | 0.205626 | + | 1.16616i | ||||
\(746\) | 45.0248 | − | 5.93322i | 1.64848 | − | 0.217231i | ||||
\(747\) | −2.63834 | + | 7.24879i | −0.0965320 | + | 0.265219i | ||||
\(748\) | 6.14779 | − | 13.1924i | 0.224785 | − | 0.482362i | ||||
\(749\) | −4.21503 | − | 2.43355i | −0.154014 | − | 0.0889199i | ||||
\(750\) | 12.6077 | − | 19.7955i | 0.460370 | − | 0.722831i | ||||
\(751\) | −21.9887 | + | 18.4507i | −0.802379 | + | 0.673276i | −0.948776 | − | 0.315950i | \(-0.897677\pi\) |
0.146397 | + | 0.989226i | \(0.453232\pi\) | |||||||
\(752\) | 12.5433 | + | 14.9337i | 0.457407 | + | 0.544576i | ||||
\(753\) | −3.77101 | − | 6.53159i | −0.137423 | − | 0.238024i | ||||
\(754\) | −36.4481 | − | 1.58690i | −1.32736 | − | 0.0577914i | ||||
\(755\) | 23.0440 | + | 4.06329i | 0.838658 | + | 0.147878i | ||||
\(756\) | 30.5581 | − | 30.5731i | 1.11139 | − | 1.11193i | ||||
\(757\) | 9.23982 | + | 25.3862i | 0.335827 | + | 0.922677i | 0.986564 | + | 0.163374i | \(0.0522378\pi\) |
−0.650737 | + | 0.759303i | \(0.725540\pi\) | |||||||
\(758\) | 2.65416 | − | 6.40992i | 0.0964034 | − | 0.232819i | ||||
\(759\) | 22.7736 | 0.826628 | ||||||||
\(760\) | 20.1268 | − | 8.11062i | 0.730075 | − | 0.294203i | ||||
\(761\) | 42.3246 | 1.53427 | 0.767133 | − | 0.641488i | \(-0.221682\pi\) | ||||
0.767133 | + | 0.641488i | \(0.221682\pi\) | |||||||
\(762\) | −8.34165 | + | 20.1455i | −0.302186 | + | 0.729794i | ||||
\(763\) | 4.42768 | + | 12.1649i | 0.160293 | + | 0.440400i | ||||
\(764\) | −2.15465 | − | 2.15360i | −0.0779525 | − | 0.0779144i | ||||
\(765\) | 5.46844 | + | 0.964234i | 0.197712 | + | 0.0348620i | ||||
\(766\) | 4.63252 | + | 0.201693i | 0.167380 | + | 0.00728747i | ||||
\(767\) | 22.3486 | + | 38.7090i | 0.806962 | + | 1.39770i | ||||
\(768\) | 7.49567 | + | 20.5318i | 0.270477 | + | 0.740876i | ||||
\(769\) | −25.9294 | + | 21.7574i | −0.935038 | + | 0.784590i | −0.976715 | − | 0.214541i | \(-0.931175\pi\) |
0.0416766 | + | 0.999131i | \(0.486730\pi\) | |||||||
\(770\) | −13.3845 | + | 21.0151i | −0.482343 | + | 0.757331i | ||||
\(771\) | 24.7434 | + | 14.2856i | 0.891111 | + | 0.514483i | ||||
\(772\) | 17.7083 | + | 8.25225i | 0.637336 | + | 0.297005i | ||||
\(773\) | 6.59542 | − | 18.1208i | 0.237221 | − | 0.651759i | −0.762766 | − | 0.646674i | \(-0.776159\pi\) |
0.999987 | − | 0.00508474i | \(-0.00161853\pi\) | |||||||
\(774\) | 5.23352 | − | 0.689656i | 0.188115 | − | 0.0247892i | ||||
\(775\) | −1.59539 | − | 9.04790i | −0.0573080 | − | 0.325010i | ||||
\(776\) | −10.3568 | + | 32.8895i | −0.371786 | + | 1.18066i | ||||
\(777\) | 30.0498 | + | 25.2147i | 1.07803 | + | 0.904574i | ||||
\(778\) | −7.87916 | − | 24.9789i | −0.282482 | − | 0.895536i | ||||
\(779\) | −15.4634 | − | 27.4127i | −0.554035 | − | 0.982161i | ||||
\(780\) | −16.4568 | − | 23.4905i | −0.589248 | − | 0.841096i | ||||
\(781\) | −2.28858 | + | 2.72742i | −0.0818917 | + | 0.0975948i | ||||
\(782\) | −19.8974 | + | 15.2716i | −0.711528 | + | 0.546113i | ||||
\(783\) | −4.24131 | − | 24.0536i | −0.151572 | − | 0.859607i | ||||
\(784\) | −26.5011 | − | 15.2831i | −0.946467 | − | 0.545827i | ||||
\(785\) | 1.66688 | + | 0.606696i | 0.0594937 | + | 0.0216539i | ||||
\(786\) | 15.6143 | + | 14.3043i | 0.556942 | + | 0.510218i | ||||
\(787\) | −19.0253 | − | 10.9843i | −0.678179 | − | 0.391547i | 0.120990 | − | 0.992654i | \(-0.461393\pi\) |
−0.799169 | + | 0.601107i | \(0.794727\pi\) | |||||||
\(788\) | 11.5623 | + | 3.09509i | 0.411891 | + | 0.110258i | ||||
\(789\) | 1.53161 | + | 1.82530i | 0.0545267 | + | 0.0649824i | ||||
\(790\) | 16.8517 | + | 3.73378i | 0.599558 | + | 0.132842i | ||||
\(791\) | −29.2805 | − | 50.7154i | −1.04110 | − | 1.80323i | ||||
\(792\) | 4.50917 | + | 7.07226i | 0.160226 | + | 0.251302i | ||||
\(793\) | −5.93559 | + | 33.6624i | −0.210779 | + | 1.19539i | ||||
\(794\) | −17.4941 | + | 9.10959i | −0.620844 | + | 0.323287i | ||||
\(795\) | 1.25186 | + | 3.43944i | 0.0443987 | + | 0.121984i | ||||
\(796\) | 9.39346 | + | 0.819509i | 0.332942 | + | 0.0290467i | ||||
\(797\) | 0.710570i | 0.0251697i | 0.999921 | + | 0.0125848i | \(0.00400599\pi\) | ||||
−0.999921 | + | 0.0125848i | \(0.995994\pi\) | |||||||
\(798\) | −19.3668 | − | 25.7620i | −0.685577 | − | 0.911966i | ||||
\(799\) | 13.5664 | 0.479945 | ||||||||
\(800\) | −7.26472 | + | 7.93777i | −0.256847 | + | 0.280643i | ||||
\(801\) | −7.83634 | + | 2.85220i | −0.276884 | + | 0.100777i | ||||
\(802\) | −15.6944 | − | 30.1397i | −0.554189 | − | 1.06427i | ||||
\(803\) | −28.9033 | − | 5.09643i | −1.01997 | − | 0.179849i | ||||
\(804\) | −8.67998 | + | 2.32807i | −0.306119 | + | 0.0821045i | ||||
\(805\) | 37.1852 | − | 21.4689i | 1.31061 | − | 0.756679i | ||||
\(806\) | −39.7762 | − | 8.81308i | −1.40106 | − | 0.310428i | ||||
\(807\) | −10.7068 | + | 8.98411i | −0.376899 | + | 0.316256i | ||||
\(808\) | 36.0752 | − | 1.58832i | 1.26912 | − | 0.0558769i | ||||
\(809\) | 7.13032 | − | 12.3501i | 0.250689 | − | 0.434205i | −0.713027 | − | 0.701137i | \(-0.752676\pi\) |
0.963716 | + | 0.266931i | \(0.0860096\pi\) | |||||||
\(810\) | 7.25169 | − | 7.91577i | 0.254798 | − | 0.278132i | ||||
\(811\) | 4.63202 | − | 12.7264i | 0.162652 | − | 0.446883i | −0.831415 | − | 0.555652i | \(-0.812469\pi\) |
0.994067 | + | 0.108769i | \(0.0346909\pi\) | |||||||
\(812\) | −30.0018 | + | 13.9990i | −1.05286 | + | 0.491268i | ||||
\(813\) | 28.8580 | − | 5.08844i | 1.01209 | − | 0.178459i | ||||
\(814\) | −22.0140 | + | 16.8962i | −0.771589 | + | 0.592211i | ||||
\(815\) | −20.2171 | − | 16.9642i | −0.708175 | − | 0.594230i | ||||
\(816\) | 14.2900 | + | 5.19322i | 0.500249 | + | 0.181799i | ||||
\(817\) | 0.143436 | − | 14.3490i | 0.00501818 | − | 0.502009i | ||||
\(818\) | −48.3447 | + | 15.2495i | −1.69033 | + | 0.533187i | ||||
\(819\) | 16.6371 | − | 19.8273i | 0.581346 | − | 0.692822i | ||||
\(820\) | −20.8240 | − | 14.5735i | −0.727205 | − | 0.508930i | ||||
\(821\) | −21.6215 | + | 3.81246i | −0.754597 | + | 0.133056i | −0.537697 | − | 0.843138i | \(-0.680706\pi\) |
−0.216900 | + | 0.976194i | \(0.569594\pi\) | |||||||
\(822\) | −38.4921 | + | 5.07236i | −1.34257 | + | 0.176919i | ||||
\(823\) | −37.4025 | − | 13.6134i | −1.30377 | − | 0.474533i | −0.405547 | − | 0.914074i | \(-0.632919\pi\) |
−0.898222 | + | 0.439541i | \(0.855141\pi\) | |||||||
\(824\) | 11.3748 | + | 1.49329i | 0.396261 | + | 0.0520211i | ||||
\(825\) | 3.39805 | − | 5.88560i | 0.118305 | − | 0.204910i | ||||
\(826\) | 34.2121 | + | 21.7896i | 1.19039 | + | 0.758158i | ||||
\(827\) | 8.15261 | + | 9.71590i | 0.283494 | + | 0.337855i | 0.888933 | − | 0.458036i | \(-0.151447\pi\) |
−0.605439 | + | 0.795891i | \(0.707003\pi\) | |||||||
\(828\) | −1.26331 | − | 14.3991i | −0.0439029 | − | 0.500404i | ||||
\(829\) | 38.1089 | − | 22.0022i | 1.32358 | − | 0.764168i | 0.339280 | − | 0.940686i | \(-0.389817\pi\) |
0.984297 | + | 0.176518i | \(0.0564834\pi\) | |||||||
\(830\) | 16.9185 | + | 0.736607i | 0.587250 | + | 0.0255680i | ||||
\(831\) | 3.44129 | − | 19.5165i | 0.119377 | − | 0.677021i | ||||
\(832\) | 20.1971 | + | 43.2301i | 0.700209 | + | 1.49873i | ||||
\(833\) | −19.9972 | + | 7.27839i | −0.692863 | + | 0.252181i | ||||
\(834\) | 29.4920 | + | 12.2118i | 1.02122 | + | 0.422859i | ||||
\(835\) | − | 4.19500i | − | 0.145174i | ||||||
\(836\) | 20.7571 | − | 9.43388i | 0.717900 | − | 0.326278i | ||||
\(837\) | − | 27.2756i | − | 0.942783i | ||||||
\(838\) | −8.71092 | + | 21.0373i | −0.300914 | + | 0.726721i | ||||
\(839\) | 18.6755 | − | 6.79733i | 0.644750 | − | 0.234670i | 0.00111150 | − | 0.999999i | \(-0.499646\pi\) |
0.643639 | + | 0.765330i | \(0.277424\pi\) | |||||||
\(840\) | −23.0914 | − | 12.0099i | −0.796729 | − | 0.414380i | ||||
\(841\) | 1.78737 | − | 10.1367i | 0.0616336 | − | 0.349541i | ||||
\(842\) | −0.167039 | + | 3.83658i | −0.00575654 | + | 0.132217i | ||||
\(843\) | −29.9817 | + | 17.3099i | −1.03262 | + | 0.596186i | ||||
\(844\) | 44.1029 | − | 3.86936i | 1.51808 | − | 0.133189i | ||||
\(845\) | −25.5396 | − | 30.4369i | −0.878589 | − | 1.04706i | ||||
\(846\) | −4.19982 | + | 6.59417i | −0.144393 | + | 0.226712i | ||||
\(847\) | 7.96032 | − | 13.7877i | 0.273520 | − | 0.473750i | ||||
\(848\) | −1.06030 | − | 5.99616i | −0.0364110 | − | 0.205909i | ||||
\(849\) | 14.1498 | + | 5.15010i | 0.485619 | + | 0.176751i | ||||
\(850\) | 0.977910 | + | 7.42096i | 0.0335420 | + | 0.254537i | ||||
\(851\) | 47.0972 | − | 8.30450i | 1.61447 | − | 0.284675i | ||||
\(852\) | −3.04724 | − | 2.13259i | −0.104397 | − | 0.0730614i | ||||
\(853\) | 11.0526 | − | 13.1720i | 0.378434 | − | 0.451000i | −0.542885 | − | 0.839807i | \(-0.682668\pi\) |
0.921319 | + | 0.388807i | \(0.127113\pi\) | |||||||
\(854\) | 9.33123 | + | 29.5823i | 0.319308 | + | 1.01228i | ||||
\(855\) | 5.52455 | + | 6.71917i | 0.188936 | + | 0.229791i | ||||
\(856\) | 2.85439 | + | 2.18859i | 0.0975612 | + | 0.0748046i | ||||
\(857\) | 5.45272 | + | 4.57537i | 0.186261 | + | 0.156292i | 0.731150 | − | 0.682216i | \(-0.238984\pi\) |
−0.544889 | + | 0.838508i | \(0.683428\pi\) | |||||||
\(858\) | −18.3489 | − | 23.9067i | −0.626422 | − | 0.816162i | ||||
\(859\) | −20.8842 | + | 3.68245i | −0.712559 | + | 0.125643i | −0.518166 | − | 0.855280i | \(-0.673385\pi\) |
−0.194394 | + | 0.980924i | \(0.562274\pi\) | |||||||
\(860\) | −4.90006 | − | 10.5015i | −0.167091 | − | 0.358099i | ||||
\(861\) | −12.9117 | + | 35.4746i | −0.440029 | + | 1.20897i | ||||
\(862\) | −30.2558 | − | 27.7176i | −1.03052 | − | 0.944064i | ||||
\(863\) | 2.52232 | − | 4.36878i | 0.0858607 | − | 0.148715i | −0.819897 | − | 0.572511i | \(-0.805969\pi\) |
0.905758 | + | 0.423796i | \(0.139303\pi\) | |||||||
\(864\) | −25.3318 | + | 19.4624i | −0.861806 | + | 0.662123i | ||||
\(865\) | 24.1512 | − | 20.2653i | 0.821165 | − | 0.689040i | ||||
\(866\) | 8.39487 | − | 37.8887i | 0.285269 | − | 1.28751i | ||||
\(867\) | −10.9524 | + | 6.32340i | −0.371965 | + | 0.214754i | ||||
\(868\) | −35.7093 | + | 9.57763i | −1.21205 | + | 0.325086i | ||||
\(869\) | 17.8605 | + | 3.14929i | 0.605877 | + | 0.106832i | ||||
\(870\) | −13.0443 | + | 6.79246i | −0.442243 | + | 0.230286i | ||||
\(871\) | −18.4354 | + | 6.70995i | −0.624661 | + | 0.227358i | ||||
\(872\) | −2.07412 | − | 9.33954i | −0.0702385 | − | 0.316277i | ||||
\(873\) | −13.8227 | −0.467827 | ||||||||
\(874\) | −39.2366 | − | 2.10143i | −1.32720 | − | 0.0710821i | ||||
\(875\) | − | 46.4948i | − | 1.57181i | ||||||
\(876\) | 2.66469 | − | 30.5435i | 0.0900317 | − | 1.03197i | ||||
\(877\) | 18.5385 | + | 50.9342i | 0.626001 | + | 1.71992i | 0.691798 | + | 0.722091i | \(0.256819\pi\) |
−0.0657963 | + | 0.997833i | \(0.520959\pi\) | |||||||
\(878\) | 2.32121 | + | 4.45767i | 0.0783369 | + | 0.150439i | ||||
\(879\) | 2.53044 | − | 14.3508i | 0.0853495 | − | 0.484041i | ||||
\(880\) | 11.8287 | − | 14.1109i | 0.398746 | − | 0.475679i | ||||
\(881\) | −21.6502 | − | 37.4992i | −0.729412 | − | 1.26338i | −0.957132 | − | 0.289653i | \(-0.906460\pi\) |
0.227719 | − | 0.973727i | \(-0.426873\pi\) | |||||||
\(882\) | 2.65285 | − | 11.9732i | 0.0893262 | − | 0.403158i | ||||
\(883\) | 29.3322 | + | 34.9568i | 0.987108 | + | 1.17639i | 0.984320 | + | 0.176393i | \(0.0564430\pi\) |
0.00278783 | + | 0.999996i | \(0.499113\pi\) | |||||||
\(884\) | 32.0631 | + | 8.58288i | 1.07840 | + | 0.288673i | ||||
\(885\) | 15.6044 | + | 9.00918i | 0.524535 | + | 0.302840i | ||||
\(886\) | −31.8997 | + | 34.8209i | −1.07169 | + | 1.16983i | ||||
\(887\) | −9.47441 | − | 3.44840i | −0.318120 | − | 0.115786i | 0.178025 | − | 0.984026i | \(-0.443029\pi\) |
−0.496145 | + | 0.868240i | \(0.665251\pi\) | |||||||
\(888\) | −19.5929 | − | 21.3662i | −0.657495 | − | 0.717003i | ||||
\(889\) | 7.50085 | + | 42.5394i | 0.251570 | + | 1.42673i | ||||
\(890\) | 11.1465 | + | 14.5227i | 0.373630 | + | 0.486801i | ||||
\(891\) | 7.25057 | − | 8.64090i | 0.242903 | − | 0.289481i | ||||
\(892\) | 39.2192 | − | 27.4758i | 1.31316 | − | 0.919959i | ||||
\(893\) | 16.1429 | + | 13.8228i | 0.540203 | + | 0.462564i | ||||
\(894\) | −33.8337 | + | 10.6723i | −1.13157 | + | 0.356934i | ||||
\(895\) | 30.7524 | + | 25.8044i | 1.02794 | + | 0.862545i | ||||
\(896\) | 34.3753 | + | 26.3304i | 1.14840 | + | 0.879637i | ||||
\(897\) | 9.01853 | + | 51.1466i | 0.301120 | + | 1.70774i | ||||
\(898\) | 2.12520 | + | 16.1273i | 0.0709189 | + | 0.538175i | ||||
\(899\) | −7.14495 | + | 19.6306i | −0.238297 | + | 0.654717i | ||||
\(900\) | −3.90981 | − | 1.82201i | −0.130327 | − | 0.0607337i | ||||
\(901\) | −3.66828 | − | 2.11788i | −0.122208 | − | 0.0705570i | ||||
\(902\) | −22.5257 | − | 14.3466i | −0.750025 | − | 0.477690i | ||||
\(903\) | −13.1852 | + | 11.0637i | −0.438775 | + | 0.368176i | ||||
\(904\) | 16.5763 | + | 39.9773i | 0.551320 | + | 1.32962i | ||||
\(905\) | −4.87549 | − | 8.44460i | −0.162067 | − | 0.280708i | ||||
\(906\) | −1.11720 | + | 25.6600i | −0.0371165 | + | 0.852497i | ||||
\(907\) | −10.1146 | − | 1.78348i | −0.335850 | − | 0.0592195i | 0.00317994 | − | 0.999995i | \(-0.498988\pi\) |
−0.339030 | + | 0.940775i | \(0.610099\pi\) | |||||||
\(908\) | −2.38491 | + | 2.38608i | −0.0791460 | + | 0.0791847i | ||||
\(909\) | 4.95092 | + | 13.6025i | 0.164212 | + | 0.451168i | ||||
\(910\) | −52.4977 | − | 21.7377i | −1.74028 | − | 0.720599i | ||||
\(911\) | 18.0080 | 0.596631 | 0.298316 | − | 0.954467i | \(-0.403575\pi\) | ||||
0.298316 | + | 0.954467i | \(0.403575\pi\) | |||||||
\(912\) | 11.7125 | + | 20.7396i | 0.387841 | + | 0.686756i | ||||
\(913\) | 17.7936 | 0.588883 | ||||||||
\(914\) | 14.2749 | + | 5.91081i | 0.472171 | + | 0.195512i | ||||
\(915\) | 4.71280 | + | 12.9483i | 0.155800 | + | 0.428058i | ||||
\(916\) | −5.09167 | + | 5.09415i | −0.168233 | + | 0.168316i | ||||
\(917\) | 41.3136 | + | 7.28470i | 1.36430 | + | 0.240562i | ||||
\(918\) | −0.966584 | + | 22.2006i | −0.0319020 | + | 0.732730i | ||||
\(919\) | 3.23798 | + | 5.60834i | 0.106811 | + | 0.185002i | 0.914477 | − | 0.404639i | \(-0.132603\pi\) |
−0.807666 | + | 0.589641i | \(0.799269\pi\) | |||||||
\(920\) | −29.3119 | + | 12.1540i | −0.966385 | + | 0.400705i | ||||
\(921\) | −5.52806 | + | 4.63860i | −0.182156 | + | 0.152847i | ||||
\(922\) | 49.2589 | + | 31.3729i | 1.62226 | + | 1.03321i | ||||
\(923\) | −7.03175 | − | 4.05978i | −0.231453 | − | 0.133629i | ||||
\(924\) | −24.7888 | − | 11.5518i | −0.815490 | − | 0.380027i | ||||
\(925\) | 4.88117 | − | 13.4109i | 0.160492 | − | 0.440948i | ||||
\(926\) | 2.01747 | + | 15.3097i | 0.0662980 | + | 0.503109i | ||||
\(927\) | 0.798604 | + | 4.52911i | 0.0262296 | + | 0.148755i | ||||
\(928\) | 23.3299 | − | 7.37154i | 0.765840 | − | 0.241983i | ||||
\(929\) | −5.56288 | − | 4.66781i | −0.182512 | − | 0.153146i | 0.546954 | − | 0.837162i | \(-0.315787\pi\) |
−0.729466 | + | 0.684017i | \(0.760232\pi\) | |||||||
\(930\) | −15.6627 | + | 4.94054i | −0.513601 | + | 0.162007i | ||||
\(931\) | −31.2111 | − | 11.7145i | −1.02290 | − | 0.383927i | ||||
\(932\) | −6.39099 | + | 4.47735i | −0.209344 | + | 0.146660i | ||||
\(933\) | −6.23125 | + | 7.42611i | −0.204002 | + | 0.243120i | ||||
\(934\) | −18.5583 | − | 24.1796i | −0.607247 | − | 0.791180i | ||||
\(935\) | −2.22417 | − | 12.6139i | −0.0727380 | − | 0.412518i | ||||
\(936\) | −14.0977 | + | 12.9277i | −0.460799 | + | 0.422555i | ||||
\(937\) | −10.5825 | − | 3.85173i | −0.345717 | − | 0.125831i | 0.163325 | − | 0.986572i | \(-0.447778\pi\) |
−0.509042 | + | 0.860742i | \(0.670000\pi\) | |||||||
\(938\) | −12.0262 | + | 13.1275i | −0.392670 | + | 0.428629i | ||||
\(939\) | −30.0853 | − | 17.3698i | −0.981798 | − | 0.566841i | ||||
\(940\) | 16.5792 | + | 4.43803i | 0.540753 | + | 0.144753i | ||||
\(941\) | −11.4013 | − | 13.5876i | −0.371673 | − | 0.442942i | 0.547495 | − | 0.836809i | \(-0.315582\pi\) |
−0.919168 | + | 0.393867i | \(0.871137\pi\) | |||||||
\(942\) | −0.421190 | + | 1.90097i | −0.0137231 | + | 0.0619368i | ||||
\(943\) | 23.0122 | + | 39.8582i | 0.749379 | + | 1.29796i | ||||
\(944\) | −22.9722 | − | 19.2569i | −0.747683 | − | 0.626758i | ||||
\(945\) | 6.60567 | − | 37.4626i | 0.214882 | − | 1.21866i | ||||
\(946\) | −5.62373 | − | 10.7999i | −0.182843 | − | 0.351134i | ||||
\(947\) | −19.3370 | − | 53.1281i | −0.628370 | − | 1.72643i | −0.685508 | − | 0.728065i | \(-0.740420\pi\) |
0.0571383 | − | 0.998366i | \(-0.481802\pi\) | |||||||
\(948\) | −1.64662 | + | 18.8741i | −0.0534799 | + | 0.613002i | ||||
\(949\) | − | 66.9314i | − | 2.17269i | ||||||
\(950\) | −6.39759 | + | 9.82674i | −0.207565 | + | 0.318821i | ||||
\(951\) | 1.57104 | 0.0509446 | ||||||||
\(952\) | 29.4045 | − | 6.53013i | 0.953007 | − | 0.211643i | ||||
\(953\) | −14.6290 | + | 5.32453i | −0.473880 | + | 0.172478i | −0.567909 | − | 0.823091i | \(-0.692248\pi\) |
0.0940291 | + | 0.995569i | \(0.470025\pi\) | |||||||
\(954\) | 2.16504 | − | 1.12738i | 0.0700957 | − | 0.0365004i | ||||
\(955\) | −2.64019 | − | 0.465537i | −0.0854346 | − | 0.0150644i | ||||
\(956\) | −6.61394 | + | 1.77393i | −0.213910 | + | 0.0573731i | ||||
\(957\) | −13.3826 | + | 7.72647i | −0.432599 | + | 0.249761i | ||||
\(958\) | −9.65964 | + | 43.5970i | −0.312089 | + | 1.40856i | ||||
\(959\) | −58.9202 | + | 49.4399i | −1.90263 | + | 1.59650i | ||||
\(960\) | 15.7645 | + | 11.0212i | 0.508798 | + | 0.355709i | ||||
\(961\) | 3.83561 | − | 6.64346i | 0.123729 | − | 0.214305i | ||||
\(962\) | −46.6645 | − | 42.7496i | −1.50452 | − | 1.37830i | ||||
\(963\) | −0.493154 | + | 1.35493i | −0.0158917 | + | 0.0436620i | ||||
\(964\) | 7.61659 | + | 16.3234i | 0.245314 | + | 0.525742i | ||||
\(965\) | 16.9318 | − | 2.98552i | 0.545052 | − | 0.0961074i | ||||
\(966\) | 28.6957 | + | 37.3875i | 0.923269 | + | 1.20292i | ||||
\(967\) | −20.7509 | − | 17.4121i | −0.667304 | − | 0.559935i | 0.244962 | − | 0.969533i | \(-0.421225\pi\) |
−0.912266 | + | 0.409598i | \(0.865669\pi\) | |||||||
\(968\) | −7.15905 | + | 9.33694i | −0.230101 | + | 0.300101i | ||||
\(969\) | 16.2873 | + | 3.04006i | 0.523223 | + | 0.0976607i | ||||
\(970\) | 9.12843 | + | 28.9393i | 0.293096 | + | 0.929186i | ||||
\(971\) | −26.6891 | + | 31.8069i | −0.856495 | + | 1.02073i | 0.143024 | + | 0.989719i | \(0.454317\pi\) |
−0.999519 | + | 0.0310118i | \(0.990127\pi\) | |||||||
\(972\) | −18.1058 | − | 12.6712i | −0.580743 | − | 0.406429i | ||||
\(973\) | 62.2756 | − | 10.9809i | 1.99647 | − | 0.352031i | ||||
\(974\) | −3.22888 | − | 24.5026i | −0.103460 | − | 0.785115i | ||||
\(975\) | 14.5640 | + | 5.30085i | 0.466421 | + | 0.169763i | ||||
\(976\) | −3.99168 | − | 22.5735i | −0.127771 | − | 0.722559i | ||||
\(977\) | 22.2421 | − | 38.5244i | 0.711587 | − | 1.23251i | −0.252674 | − | 0.967551i | \(-0.581310\pi\) |
0.964261 | − | 0.264954i | \(-0.0853567\pi\) | |||||||
\(978\) | 15.5618 | − | 24.4337i | 0.497612 | − | 0.781305i | ||||
\(979\) | 12.3646 | + | 14.7355i | 0.395174 | + | 0.470950i | ||||
\(980\) | −26.8191 | + | 2.35297i | −0.856704 | + | 0.0751628i | ||||
\(981\) | 3.32135 | − | 1.91759i | 0.106043 | − | 0.0612238i | ||||
\(982\) | 0.678296 | − | 15.5792i | 0.0216453 | − | 0.497152i | ||||
\(983\) | −1.03224 | + | 5.85410i | −0.0329232 | + | 0.186717i | −0.996834 | − | 0.0795078i | \(-0.974665\pi\) |
0.963911 | + | 0.266225i | \(0.0857763\pi\) | |||||||
\(984\) | 12.8732 | − | 24.7513i | 0.410382 | − | 0.789043i | ||||
\(985\) | 9.89824 | − | 3.60266i | 0.315384 | − | 0.114790i | ||||
\(986\) | 6.51120 | − | 15.7249i | 0.207359 | − | 0.500782i | ||||
\(987\) | − | 25.4916i | − | 0.811405i | ||||||
\(988\) | 29.4073 | + | 42.8820i | 0.935572 | + | 1.36426i | ||||
\(989\) | 20.9840i | 0.667252i | ||||||||
\(990\) | 6.81971 | + | 2.82384i | 0.216745 | + | 0.0897476i | ||||
\(991\) | 8.99995 | − | 3.27572i | 0.285893 | − | 0.104057i | −0.195093 | − | 0.980785i | \(-0.562501\pi\) |
0.480986 | + | 0.876728i | \(0.340279\pi\) | |||||||
\(992\) | 27.0866 | − | 3.58285i | 0.860001 | − | 0.113756i | ||||
\(993\) | 1.01002 | − | 5.72811i | 0.0320520 | − | 0.181776i | ||||
\(994\) | −7.36134 | − | 0.320502i | −0.233487 | − | 0.0101657i | ||||
\(995\) | 7.18623 | − | 4.14897i | 0.227819 | − | 0.131531i | ||||
\(996\) | 1.62458 | + | 18.5169i | 0.0514768 | + | 0.586732i | ||||
\(997\) | −19.6721 | − | 23.4443i | −0.623021 | − | 0.742487i | 0.358566 | − | 0.933504i | \(-0.383266\pi\) |
−0.981587 | + | 0.191017i | \(0.938821\pi\) | |||||||
\(998\) | −33.1897 | − | 21.1385i | −1.05060 | − | 0.669127i | ||||
\(999\) | 21.1846 | − | 36.6928i | 0.670252 | − | 1.16091i |
(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 | 152.2.t.a.149.4 | yes | 108 | |
4.3 | odd | 2 | 608.2.bf.a.529.13 | 108 | |||
8.3 | odd | 2 | 608.2.bf.a.529.6 | 108 | |||
8.5 | even | 2 | inner | 152.2.t.a.149.6 | yes | 108 | |
19.6 | even | 9 | inner | 152.2.t.a.101.6 | yes | 108 | |
76.63 | odd | 18 | 608.2.bf.a.177.6 | 108 | |||
152.101 | even | 18 | inner | 152.2.t.a.101.4 | ✓ | 108 | |
152.139 | odd | 18 | 608.2.bf.a.177.13 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
152.2.t.a.101.4 | ✓ | 108 | 152.101 | even | 18 | inner | |
152.2.t.a.101.6 | yes | 108 | 19.6 | even | 9 | inner | |
152.2.t.a.149.4 | yes | 108 | 1.1 | even | 1 | trivial | |
152.2.t.a.149.6 | yes | 108 | 8.5 | even | 2 | inner | |
608.2.bf.a.177.6 | 108 | 76.63 | odd | 18 | |||
608.2.bf.a.177.13 | 108 | 152.139 | odd | 18 | |||
608.2.bf.a.529.6 | 108 | 8.3 | odd | 2 | |||
608.2.bf.a.529.13 | 108 | 4.3 | odd | 2 |