Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.5 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36136 | − | 1.51195i | −0.962628 | − | 1.06911i | −0.997567 | − | 0.0697177i | \(-0.977790\pi\) |
0.0349383 | − | 0.999389i | \(-0.488877\pi\) | |||||||
\(3\) | 0.270437 | + | 1.71081i | 0.156137 | + | 0.987735i | ||||
\(4\) | −0.223616 | + | 2.12757i | −0.111808 | + | 1.06378i | ||||
\(5\) | −0.0600850 | + | 0.282678i | −0.0268708 | + | 0.126417i | −0.989539 | − | 0.144268i | \(-0.953917\pi\) |
0.962668 | + | 0.270686i | \(0.0872504\pi\) | |||||||
\(6\) | 2.21849 | − | 2.73792i | 0.905693 | − | 1.11775i | ||||
\(7\) | −2.04626 | + | 1.67715i | −0.773412 | + | 0.633904i | ||||
\(8\) | 0.229262 | − | 0.166568i | 0.0810563 | − | 0.0588908i | ||||
\(9\) | −2.85373 | + | 0.925333i | −0.951242 | + | 0.308444i | ||||
\(10\) | 0.509191 | − | 0.293981i | 0.161020 | − | 0.0929651i | ||||
\(11\) | −1.12724 | − | 3.11919i | −0.339874 | − | 0.940471i | ||||
\(12\) | −3.70033 | + | 0.192809i | −1.06819 | + | 0.0556593i | ||||
\(13\) | −4.38122 | − | 1.42355i | −1.21513 | − | 0.394820i | −0.369825 | − | 0.929101i | \(-0.620582\pi\) |
−0.845307 | + | 0.534281i | \(0.820582\pi\) | |||||||
\(14\) | 5.32146 | + | 0.810615i | 1.42222 | + | 0.216646i | ||||
\(15\) | −0.499856 | − | 0.0263472i | −0.129062 | − | 0.00680283i | ||||
\(16\) | 3.62113 | + | 0.769694i | 0.905282 | + | 0.192424i | ||||
\(17\) | −3.15529 | + | 3.50430i | −0.765270 | + | 0.849918i | −0.992286 | − | 0.123973i | \(-0.960436\pi\) |
0.227016 | + | 0.973891i | \(0.427103\pi\) | |||||||
\(18\) | 5.28401 | + | 3.05497i | 1.24545 | + | 0.720063i | ||||
\(19\) | −6.28051 | + | 0.660109i | −1.44085 | + | 0.151439i | −0.792485 | − | 0.609892i | \(-0.791213\pi\) |
−0.648364 | + | 0.761331i | \(0.724546\pi\) | |||||||
\(20\) | −0.587980 | − | 0.191046i | −0.131476 | − | 0.0427192i | ||||
\(21\) | −3.42267 | − | 3.04718i | −0.746888 | − | 0.664950i | ||||
\(22\) | −3.18147 | + | 5.95067i | −0.678291 | + | 1.26869i | ||||
\(23\) | 2.89656 | + | 1.67233i | 0.603974 | + | 0.348704i | 0.770603 | − | 0.637315i | \(-0.219955\pi\) |
−0.166630 | + | 0.986020i | \(0.553288\pi\) | |||||||
\(24\) | 0.346968 | + | 0.347176i | 0.0708244 | + | 0.0708671i | ||||
\(25\) | 4.49143 | + | 1.99971i | 0.898286 | + | 0.399943i | ||||
\(26\) | 3.81211 | + | 8.56213i | 0.747616 | + | 1.67917i | ||||
\(27\) | −2.35482 | − | 4.63193i | −0.453186 | − | 0.891416i | ||||
\(28\) | −3.11068 | − | 4.72859i | −0.587863 | − | 0.893619i | ||||
\(29\) | 7.20177 | + | 5.23239i | 1.33734 | + | 0.971631i | 0.999537 | + | 0.0304121i | \(0.00968197\pi\) |
0.337798 | + | 0.941219i | \(0.390318\pi\) | |||||||
\(30\) | 0.640650 | + | 0.791624i | 0.116966 | + | 0.144530i | ||||
\(31\) | −0.777462 | + | 0.165255i | −0.139636 | + | 0.0296806i | −0.277199 | − | 0.960812i | \(-0.589406\pi\) |
0.137563 | + | 0.990493i | \(0.456073\pi\) | |||||||
\(32\) | −4.04931 | − | 7.01361i | −0.715824 | − | 1.23984i | ||||
\(33\) | 5.03149 | − | 2.77203i | 0.875869 | − | 0.482548i | ||||
\(34\) | 9.59380 | 1.64532 | ||||||||
\(35\) | −0.351144 | − | 0.679202i | −0.0593542 | − | 0.114806i | ||||
\(36\) | −1.33057 | − | 6.27842i | −0.221762 | − | 1.04640i | ||||
\(37\) | −3.40993 | + | 1.51820i | −0.560588 | + | 0.249590i | −0.667413 | − | 0.744688i | \(-0.732598\pi\) |
0.106825 | + | 0.994278i | \(0.465932\pi\) | |||||||
\(38\) | 9.54810 | + | 8.59715i | 1.54891 | + | 1.39464i | ||||
\(39\) | 1.25057 | − | 7.88041i | 0.200251 | − | 1.26188i | ||||
\(40\) | 0.0333100 | + | 0.0748154i | 0.00526677 | + | 0.0118294i | ||||
\(41\) | 2.27763 | − | 1.65479i | 0.355706 | − | 0.258436i | −0.395553 | − | 0.918443i | \(-0.629447\pi\) |
0.751259 | + | 0.660008i | \(0.229447\pi\) | |||||||
\(42\) | 0.0523145 | + | 9.32321i | 0.00807230 | + | 1.43860i | ||||
\(43\) | 6.56102i | 1.00055i | 0.865868 | + | 0.500273i | \(0.166767\pi\) | ||||
−0.865868 | + | 0.500273i | \(0.833233\pi\) | |||||||
\(44\) | 6.88835 | − | 1.70077i | 1.03846 | − | 0.256401i | ||||
\(45\) | −0.0901048 | − | 0.862283i | −0.0134320 | − | 0.128542i | ||||
\(46\) | −1.41479 | − | 6.65608i | −0.208600 | − | 0.981385i | ||||
\(47\) | −6.75562 | + | 0.710044i | −0.985408 | + | 0.103571i | −0.583503 | − | 0.812111i | \(-0.698318\pi\) |
−0.401905 | + | 0.915681i | \(0.631652\pi\) | |||||||
\(48\) | −0.337511 | + | 6.40321i | −0.0487155 | + | 0.924223i | ||||
\(49\) | 1.37432 | − | 6.86376i | 0.196332 | − | 0.980538i | ||||
\(50\) | −3.09100 | − | 9.51313i | −0.437134 | − | 1.34536i | ||||
\(51\) | −6.84850 | − | 4.45040i | −0.958981 | − | 0.623180i | ||||
\(52\) | 4.00840 | − | 9.00302i | 0.555865 | − | 1.24849i | ||||
\(53\) | −1.13881 | − | 5.35767i | −0.156427 | − | 0.735932i | −0.984510 | − | 0.175327i | \(-0.943902\pi\) |
0.828083 | − | 0.560605i | \(-0.189432\pi\) | |||||||
\(54\) | −3.79747 | + | 9.86610i | −0.516770 | + | 1.34261i | ||||
\(55\) | 0.949455 | − | 0.131228i | 0.128024 | − | 0.0176948i | ||||
\(56\) | −0.189767 | + | 0.725348i | −0.0253587 | + | 0.0969287i | ||||
\(57\) | −2.82781 | − | 10.5662i | −0.374552 | − | 1.39953i | ||||
\(58\) | −1.89312 | − | 18.0119i | −0.248579 | − | 2.36507i | ||||
\(59\) | −6.66256 | − | 0.700263i | −0.867391 | − | 0.0911665i | −0.339630 | − | 0.940559i | \(-0.610302\pi\) |
−0.527761 | + | 0.849393i | \(0.676968\pi\) | |||||||
\(60\) | 0.167832 | − | 1.05759i | 0.0216670 | − | 0.136534i | ||||
\(61\) | 0.484328 | − | 2.27859i | 0.0620119 | − | 0.291743i | −0.936204 | − | 0.351458i | \(-0.885686\pi\) |
0.998215 | + | 0.0597152i | \(0.0190193\pi\) | |||||||
\(62\) | 1.30826 | + | 0.950508i | 0.166150 | + | 0.120715i | ||||
\(63\) | 4.28753 | − | 6.67960i | 0.540178 | − | 0.841551i | ||||
\(64\) | −2.80365 | + | 8.62874i | −0.350456 | + | 1.07859i | ||||
\(65\) | 0.665650 | − | 1.15294i | 0.0825637 | − | 0.143005i | ||||
\(66\) | −11.0408 | − | 3.83360i | −1.35903 | − | 0.471883i | ||||
\(67\) | 3.57995 | + | 6.20066i | 0.437361 | + | 0.757531i | 0.997485 | − | 0.0708776i | \(-0.0225800\pi\) |
−0.560124 | + | 0.828409i | \(0.689247\pi\) | |||||||
\(68\) | −6.75007 | − | 7.49671i | −0.818566 | − | 0.909109i | ||||
\(69\) | −2.07769 | + | 5.40771i | −0.250125 | + | 0.651012i | ||||
\(70\) | −0.548883 | + | 1.45555i | −0.0656040 | + | 0.173972i | ||||
\(71\) | −8.35556 | + | 2.71489i | −0.991623 | + | 0.322198i | −0.759513 | − | 0.650492i | \(-0.774563\pi\) |
−0.232110 | + | 0.972690i | \(0.574563\pi\) | |||||||
\(72\) | −0.500119 | + | 0.687484i | −0.0589396 | + | 0.0810208i | ||||
\(73\) | 14.0680 | + | 1.47861i | 1.64654 | + | 0.173058i | 0.881912 | − | 0.471415i | \(-0.156257\pi\) |
0.764627 | + | 0.644473i | \(0.222923\pi\) | |||||||
\(74\) | 6.93757 | + | 3.08881i | 0.806477 | + | 0.359067i | ||||
\(75\) | −2.20647 | + | 8.22477i | −0.254782 | + | 0.949715i | ||||
\(76\) | − | 13.5098i | − | 1.54968i | ||||||
\(77\) | 7.53797 | + | 4.49211i | 0.859031 | + | 0.511923i | ||||
\(78\) | −13.6172 | + | 8.83730i | −1.54185 | + | 1.00063i | ||||
\(79\) | 6.25853 | − | 5.63521i | 0.704140 | − | 0.634011i | −0.237204 | − | 0.971460i | \(-0.576231\pi\) |
0.941344 | + | 0.337449i | \(0.109564\pi\) | |||||||
\(80\) | −0.435151 | + | 0.977364i | −0.0486513 | + | 0.109273i | ||||
\(81\) | 7.28752 | − | 5.28130i | 0.809724 | − | 0.586811i | ||||
\(82\) | −5.60264 | − | 1.19088i | −0.618708 | − | 0.131510i | ||||
\(83\) | 0.747570 | + | 2.30079i | 0.0820565 | + | 0.252544i | 0.983665 | − | 0.180009i | \(-0.0576128\pi\) |
−0.901608 | + | 0.432553i | \(0.857613\pi\) | |||||||
\(84\) | 7.24846 | − | 6.60056i | 0.790872 | − | 0.720180i | ||||
\(85\) | −0.801002 | − | 1.10249i | −0.0868809 | − | 0.119581i | ||||
\(86\) | 9.91990 | − | 8.93192i | 1.06969 | − | 0.963154i | ||||
\(87\) | −7.00399 | + | 13.7359i | −0.750906 | + | 1.47264i | ||||
\(88\) | −0.777990 | − | 0.527349i | −0.0829341 | − | 0.0562156i | ||||
\(89\) | 2.11820 | + | 1.22294i | 0.224529 | + | 0.129632i | 0.608045 | − | 0.793902i | \(-0.291954\pi\) |
−0.383517 | + | 0.923534i | \(0.625287\pi\) | |||||||
\(90\) | −1.18106 | + | 1.31011i | −0.124495 | + | 0.138098i | ||||
\(91\) | 11.3526 | − | 4.43504i | 1.19008 | − | 0.464918i | ||||
\(92\) | −4.20571 | + | 5.78866i | −0.438475 | + | 0.603509i | ||||
\(93\) | −0.492974 | − | 1.28540i | −0.0511190 | − | 0.133289i | ||||
\(94\) | 10.2704 | + | 9.24750i | 1.05931 | + | 0.953807i | ||||
\(95\) | 0.190767 | − | 1.81502i | 0.0195722 | − | 0.186217i | ||||
\(96\) | 10.9039 | − | 8.82434i | 1.11287 | − | 0.900630i | ||||
\(97\) | −3.18284 | + | 9.79577i | −0.323168 | + | 0.994610i | 0.649092 | + | 0.760710i | \(0.275149\pi\) |
−0.972261 | + | 0.233900i | \(0.924851\pi\) | |||||||
\(98\) | −12.2486 | + | 7.26617i | −1.23729 | + | 0.733994i | ||||
\(99\) | 6.10311 | + | 7.85825i | 0.613386 | + | 0.789783i | ||||
\(100\) | −5.25888 | + | 9.10866i | −0.525888 | + | 0.910866i | ||||
\(101\) | 4.56284 | − | 0.969862i | 0.454020 | − | 0.0965049i | 0.0247750 | − | 0.999693i | \(-0.492113\pi\) |
0.429245 | + | 0.903188i | \(0.358780\pi\) | |||||||
\(102\) | 2.59452 | + | 16.4132i | 0.256896 | + | 1.62514i | ||||
\(103\) | −7.14795 | + | 3.18247i | −0.704308 | + | 0.313578i | −0.727457 | − | 0.686154i | \(-0.759298\pi\) |
0.0231482 | + | 0.999732i | \(0.492631\pi\) | |||||||
\(104\) | −1.24156 | + | 0.403409i | −0.121745 | + | 0.0395575i | ||||
\(105\) | 1.06702 | − | 0.784422i | 0.104131 | − | 0.0765518i | ||||
\(106\) | −6.55017 | + | 9.01554i | −0.636209 | + | 0.875666i | ||||
\(107\) | −0.924750 | − | 8.79841i | −0.0893990 | − | 0.850574i | −0.943702 | − | 0.330798i | \(-0.892682\pi\) |
0.854303 | − | 0.519776i | \(-0.173985\pi\) | |||||||
\(108\) | 10.3813 | − | 3.97427i | 0.998944 | − | 0.382424i | ||||
\(109\) | −2.80596 | + | 1.62002i | −0.268763 | + | 0.155170i | −0.628325 | − | 0.777951i | \(-0.716259\pi\) |
0.359563 | + | 0.933121i | \(0.382926\pi\) | |||||||
\(110\) | −1.49096 | − | 1.25688i | −0.142158 | − | 0.119838i | ||||
\(111\) | −3.51951 | − | 5.42315i | −0.334057 | − | 0.514743i | ||||
\(112\) | −8.70064 | + | 4.49819i | −0.822134 | + | 0.425039i | ||||
\(113\) | 0.534239 | + | 0.735317i | 0.0502570 | + | 0.0691728i | 0.833406 | − | 0.552661i | \(-0.186388\pi\) |
−0.783149 | + | 0.621834i | \(0.786388\pi\) | |||||||
\(114\) | −12.1259 | + | 18.6600i | −1.13570 | + | 1.74767i | ||||
\(115\) | −0.646769 | + | 0.718310i | −0.0603115 | + | 0.0669827i | ||||
\(116\) | −12.7427 | + | 14.1522i | −1.18313 | + | 1.31400i | ||||
\(117\) | 13.8201 | + | 0.00831986i | 1.27767 | + | 0.000769171i | ||||
\(118\) | 8.01140 | + | 11.0267i | 0.737509 | + | 1.01509i | ||||
\(119\) | 0.579276 | − | 12.4626i | 0.0531021 | − | 1.14244i | ||||
\(120\) | −0.118987 | + | 0.0772199i | −0.0108619 | + | 0.00704918i | ||||
\(121\) | −8.45868 | + | 7.03212i | −0.768971 | + | 0.639284i | ||||
\(122\) | −4.10444 | + | 2.36970i | −0.371599 | + | 0.214543i | ||||
\(123\) | 3.44699 | + | 3.44907i | 0.310805 | + | 0.310992i | ||||
\(124\) | −0.177737 | − | 1.69106i | −0.0159613 | − | 0.151861i | ||||
\(125\) | −1.68447 | + | 2.31847i | −0.150664 | + | 0.207371i | ||||
\(126\) | −15.9361 | + | 2.61085i | −1.41970 | + | 0.232593i | ||||
\(127\) | −3.43157 | + | 1.11499i | −0.304503 | + | 0.0989390i | −0.457283 | − | 0.889321i | \(-0.651177\pi\) |
0.152780 | + | 0.988260i | \(0.451177\pi\) | |||||||
\(128\) | 2.06604 | − | 0.919862i | 0.182614 | − | 0.0813051i | ||||
\(129\) | −11.2246 | + | 1.77435i | −0.988275 | + | 0.156222i | ||||
\(130\) | −2.64937 | + | 0.563142i | −0.232365 | + | 0.0493908i | ||||
\(131\) | 2.23348 | − | 3.86851i | 0.195140 | − | 0.337993i | −0.751806 | − | 0.659384i | \(-0.770817\pi\) |
0.946947 | + | 0.321391i | \(0.104150\pi\) | |||||||
\(132\) | 4.77256 | + | 11.3247i | 0.415398 | + | 0.985689i | ||||
\(133\) | 11.7444 | − | 11.8841i | 1.01837 | − | 1.03048i | ||||
\(134\) | 4.50145 | − | 13.8540i | 0.388866 | − | 1.19681i | ||||
\(135\) | 1.45083 | − | 0.387346i | 0.124868 | − | 0.0333374i | ||||
\(136\) | −0.139681 | + | 1.32897i | −0.0119775 | + | 0.113959i | ||||
\(137\) | 11.8700 | + | 10.6878i | 1.01412 | + | 0.913119i | 0.996233 | − | 0.0867209i | \(-0.0276388\pi\) |
0.0178888 | + | 0.999840i | \(0.494306\pi\) | |||||||
\(138\) | 11.0047 | − | 4.22049i | 0.936779 | − | 0.359272i | ||||
\(139\) | −4.58308 | + | 6.30807i | −0.388732 | + | 0.535043i | −0.957871 | − | 0.287198i | \(-0.907276\pi\) |
0.569140 | + | 0.822241i | \(0.307276\pi\) | |||||||
\(140\) | 1.52357 | − | 0.595202i | 0.128765 | − | 0.0503038i | ||||
\(141\) | −3.04172 | − | 11.3655i | −0.256159 | − | 0.957151i | ||||
\(142\) | 15.4797 | + | 8.93721i | 1.29903 | + | 0.749994i | ||||
\(143\) | 0.498364 | + | 15.2705i | 0.0416753 | + | 1.27699i | ||||
\(144\) | −11.0459 | + | 1.15425i | −0.920494 | + | 0.0961876i | ||||
\(145\) | −1.91180 | + | 1.72139i | −0.158766 | + | 0.142954i | ||||
\(146\) | −16.9161 | − | 23.2830i | −1.39999 | − | 1.92692i | ||||
\(147\) | 12.1142 | + | 0.494980i | 0.999166 | + | 0.0408252i | ||||
\(148\) | −2.46755 | − | 7.59434i | −0.202831 | − | 0.624251i | ||||
\(149\) | −20.5908 | − | 4.37671i | −1.68686 | − | 0.358554i | −0.738137 | − | 0.674651i | \(-0.764294\pi\) |
−0.948727 | + | 0.316097i | \(0.897627\pi\) | |||||||
\(150\) | 15.4392 | − | 7.86082i | 1.26061 | − | 0.641834i | ||||
\(151\) | −2.11996 | + | 4.76152i | −0.172520 | + | 0.387487i | −0.979025 | − | 0.203741i | \(-0.934690\pi\) |
0.806505 | + | 0.591228i | \(0.201357\pi\) | |||||||
\(152\) | −1.32993 | + | 1.19747i | −0.107871 | + | 0.0971279i | ||||
\(153\) | 5.76168 | − | 12.9200i | 0.465804 | − | 1.04452i | ||||
\(154\) | −3.47008 | − | 17.5124i | −0.279627 | − | 1.41119i | ||||
\(155\) | − | 0.229700i | − | 0.0184500i | ||||||
\(156\) | 16.4865 | + | 4.42285i | 1.31997 | + | 0.354112i | ||||
\(157\) | −2.91928 | − | 1.29975i | −0.232984 | − | 0.103731i | 0.286924 | − | 0.957953i | \(-0.407367\pi\) |
−0.519908 | + | 0.854222i | \(0.674034\pi\) | |||||||
\(158\) | −17.0403 | − | 1.79100i | −1.35565 | − | 0.142485i | ||||
\(159\) | 8.85796 | − | 3.39719i | 0.702482 | − | 0.269415i | ||||
\(160\) | 2.22589 | − | 0.723237i | 0.175972 | − | 0.0571769i | ||||
\(161\) | −8.73184 | + | 1.43596i | −0.688165 | + | 0.113169i | ||||
\(162\) | −17.9060 | − | 3.82857i | −1.40683 | − | 0.300801i | ||||
\(163\) | −1.76235 | − | 1.95729i | −0.138038 | − | 0.153306i | 0.670162 | − | 0.742215i | \(-0.266225\pi\) |
−0.808200 | + | 0.588908i | \(0.799558\pi\) | |||||||
\(164\) | 3.01137 | + | 5.21585i | 0.235149 | + | 0.407289i | ||||
\(165\) | 0.481274 | + | 1.58885i | 0.0374671 | + | 0.123691i | ||||
\(166\) | 2.46095 | − | 4.26249i | 0.191007 | − | 0.330833i | ||||
\(167\) | −5.49077 | + | 16.8989i | −0.424888 | + | 1.30767i | 0.478213 | + | 0.878244i | \(0.341285\pi\) |
−0.903101 | + | 0.429428i | \(0.858715\pi\) | |||||||
\(168\) | −1.29225 | − | 0.128494i | −0.0996994 | − | 0.00991355i | ||||
\(169\) | 6.65140 | + | 4.83253i | 0.511646 | + | 0.371733i | ||||
\(170\) | −0.576444 | + | 2.71195i | −0.0442112 | + | 0.207997i | ||||
\(171\) | 17.3121 | − | 7.69534i | 1.32389 | − | 0.588477i | ||||
\(172\) | −13.9590 | − | 1.46715i | −1.06436 | − | 0.111869i | ||||
\(173\) | 0.254789 | + | 2.42416i | 0.0193713 | + | 0.184305i | 0.999929 | − | 0.0119261i | \(-0.00379628\pi\) |
−0.980558 | + | 0.196231i | \(0.937130\pi\) | |||||||
\(174\) | 30.3029 | − | 8.10985i | 2.29725 | − | 0.614807i | ||||
\(175\) | −12.5444 | + | 3.44089i | −0.948270 | + | 0.260107i | ||||
\(176\) | −1.68104 | − | 12.1626i | −0.126713 | − | 0.916791i | ||||
\(177\) | −0.603790 | − | 11.5877i | −0.0453836 | − | 0.870988i | ||||
\(178\) | −1.03461 | − | 4.86747i | −0.0775475 | − | 0.364832i | ||||
\(179\) | −4.06759 | + | 9.13597i | −0.304026 | + | 0.682854i | −0.999358 | − | 0.0358350i | \(-0.988591\pi\) |
0.695331 | + | 0.718689i | \(0.255258\pi\) | |||||||
\(180\) | 1.85472 | + | 0.00111656i | 0.138242 | + | 8.32237e-5i | ||||
\(181\) | −2.12123 | − | 6.52848i | −0.157670 | − | 0.485258i | 0.840752 | − | 0.541421i | \(-0.182113\pi\) |
−0.998422 | + | 0.0561626i | \(0.982113\pi\) | |||||||
\(182\) | −22.1605 | − | 11.1268i | −1.64265 | − | 0.824775i | ||||
\(183\) | 4.02920 | + | 0.212378i | 0.297847 | + | 0.0156994i | ||||
\(184\) | 0.942626 | − | 0.0990740i | 0.0694913 | − | 0.00730383i | ||||
\(185\) | −0.224275 | − | 1.05513i | −0.0164890 | − | 0.0775747i | ||||
\(186\) | −1.27233 | + | 2.49524i | −0.0932921 | + | 0.182960i | ||||
\(187\) | 14.4873 | + | 5.89176i | 1.05942 | + | 0.430848i | ||||
\(188\) | − | 14.5318i | − | 1.05984i | ||||||
\(189\) | 12.5870 | + | 5.52872i | 0.915571 | + | 0.402155i | ||||
\(190\) | −3.00392 | + | 2.18248i | −0.217927 | + | 0.158333i | ||||
\(191\) | 0.996229 | + | 2.23757i | 0.0720846 | + | 0.161905i | 0.945994 | − | 0.324184i | \(-0.105090\pi\) |
−0.873909 | + | 0.486089i | \(0.838423\pi\) | |||||||
\(192\) | −15.5203 | − | 2.46297i | −1.12008 | − | 0.177749i | ||||
\(193\) | −15.0088 | − | 13.5140i | −1.08036 | − | 0.972759i | −0.0806455 | − | 0.996743i | \(-0.525698\pi\) |
−0.999712 | + | 0.0239843i | \(0.992365\pi\) | |||||||
\(194\) | 19.1437 | − | 8.52331i | 1.37444 | − | 0.611938i | ||||
\(195\) | 2.15248 | + | 0.827001i | 0.154142 | + | 0.0592228i | ||||
\(196\) | 14.2958 | + | 4.45881i | 1.02113 | + | 0.318486i | ||||
\(197\) | 4.63763 | 0.330418 | 0.165209 | − | 0.986259i | \(-0.447170\pi\) | ||||
0.165209 | + | 0.986259i | \(0.447170\pi\) | |||||||
\(198\) | 3.57269 | − | 19.9255i | 0.253900 | − | 1.41604i | ||||
\(199\) | −8.51902 | − | 14.7554i | −0.603897 | − | 1.04598i | −0.992225 | − | 0.124460i | \(-0.960280\pi\) |
0.388327 | − | 0.921522i | \(-0.373053\pi\) | |||||||
\(200\) | 1.36280 | − | 0.289673i | 0.0963647 | − | 0.0204829i | ||||
\(201\) | −9.63998 | + | 7.80150i | −0.679952 | + | 0.550275i | ||||
\(202\) | −7.67806 | − | 5.57844i | −0.540227 | − | 0.392498i | ||||
\(203\) | −23.5122 | + | 1.37166i | −1.65023 | + | 0.0962713i | ||||
\(204\) | 11.0000 | − | 13.5755i | 0.770151 | − | 0.950472i | ||||
\(205\) | 0.330922 | + | 0.743263i | 0.0231126 | + | 0.0519118i | ||||
\(206\) | 14.5427 | + | 6.47481i | 1.01324 | + | 0.451122i | ||||
\(207\) | −9.81344 | − | 2.09209i | −0.682081 | − | 0.145410i | ||||
\(208\) | −14.7693 | − | 8.52704i | −1.02406 | − | 0.591244i | ||||
\(209\) | 9.13862 | + | 18.8460i | 0.632132 | + | 1.30361i | ||||
\(210\) | −2.63861 | − | 0.545397i | −0.182081 | − | 0.0376360i | ||||
\(211\) | 18.7579 | + | 6.09482i | 1.29135 | + | 0.419585i | 0.872563 | − | 0.488501i | \(-0.162456\pi\) |
0.418785 | + | 0.908085i | \(0.362456\pi\) | |||||||
\(212\) | 11.6535 | − | 1.22483i | 0.800363 | − | 0.0841215i | ||||
\(213\) | −6.90431 | − | 13.5606i | −0.473075 | − | 0.929154i | ||||
\(214\) | −12.0438 | + | 13.3760i | −0.823297 | + | 0.914364i | ||||
\(215\) | −1.85465 | − | 0.394219i | −0.126486 | − | 0.0268855i | ||||
\(216\) | −1.31140 | − | 0.669686i | −0.0892298 | − | 0.0455664i | ||||
\(217\) | 1.31373 | − | 1.64207i | 0.0891816 | − | 0.111471i | ||||
\(218\) | 6.26932 | + | 2.03703i | 0.424612 | + | 0.137965i | ||||
\(219\) | 1.27491 | + | 24.4676i | 0.0861502 | + | 1.65337i | ||||
\(220\) | 0.0668828 | + | 2.04937i | 0.00450923 | + | 0.138169i | ||||
\(221\) | 18.8125 | − | 10.8614i | 1.26547 | − | 0.730619i | ||||
\(222\) | −3.40818 | + | 12.7042i | −0.228742 | + | 0.852649i | ||||
\(223\) | −23.2749 | + | 16.9102i | −1.55860 | + | 1.13239i | −0.621455 | + | 0.783450i | \(0.713458\pi\) |
−0.937145 | + | 0.348939i | \(0.886542\pi\) | |||||||
\(224\) | 20.0488 | + | 7.56033i | 1.33957 | + | 0.505146i | ||||
\(225\) | −14.6677 | − | 1.55057i | −0.977848 | − | 0.103371i | ||||
\(226\) | 0.384466 | − | 1.80877i | 0.0255743 | − | 0.120318i | ||||
\(227\) | 1.32238 | − | 12.5816i | 0.0877696 | − | 0.835072i | −0.858743 | − | 0.512406i | \(-0.828754\pi\) |
0.946513 | − | 0.322666i | \(-0.104579\pi\) | |||||||
\(228\) | 23.1127 | − | 3.65356i | 1.53068 | − | 0.241963i | ||||
\(229\) | −6.34722 | − | 7.04930i | −0.419436 | − | 0.465831i | 0.495984 | − | 0.868332i | \(-0.334808\pi\) |
−0.915419 | + | 0.402501i | \(0.868141\pi\) | |||||||
\(230\) | 1.96653 | 0.129669 | ||||||||
\(231\) | −5.64659 | + | 14.1108i | −0.371518 | + | 0.928426i | ||||
\(232\) | 2.52264 | 0.165620 | ||||||||
\(233\) | 11.8722 | + | 13.1855i | 0.777776 | + | 0.863808i | 0.993639 | − | 0.112616i | \(-0.0359230\pi\) |
−0.215863 | + | 0.976424i | \(0.569256\pi\) | |||||||
\(234\) | −18.8015 | − | 20.9065i | −1.22909 | − | 1.36670i | ||||
\(235\) | 0.205198 | − | 1.95233i | 0.0133856 | − | 0.127356i | ||||
\(236\) | 2.97972 | − | 14.0185i | 0.193963 | − | 0.912524i | ||||
\(237\) | 11.3333 | + | 9.18318i | 0.736177 | + | 0.596511i | ||||
\(238\) | −19.6314 | + | 16.0903i | −1.27251 | + | 1.04298i | ||||
\(239\) | −6.90049 | + | 5.01350i | −0.446355 | + | 0.324296i | −0.788155 | − | 0.615477i | \(-0.788964\pi\) |
0.341800 | + | 0.939773i | \(0.388964\pi\) | |||||||
\(240\) | −1.78976 | − | 0.480143i | −0.115529 | − | 0.0309931i | ||||
\(241\) | 26.6609 | − | 15.3927i | 1.71738 | − | 0.991531i | 0.793756 | − | 0.608236i | \(-0.208123\pi\) |
0.923626 | − | 0.383295i | \(-0.125211\pi\) | |||||||
\(242\) | 22.1475 | + | 3.21580i | 1.42370 | + | 0.206719i | ||||
\(243\) | 11.0061 | + | 11.0393i | 0.706042 | + | 0.708170i | ||||
\(244\) | 4.73954 | + | 1.53997i | 0.303418 | + | 0.0985865i | ||||
\(245\) | 1.85766 | + | 0.800899i | 0.118681 | + | 0.0511675i | ||||
\(246\) | 0.522199 | − | 9.90710i | 0.0332942 | − | 0.631653i | ||||
\(247\) | 28.4560 | + | 6.04851i | 1.81061 | + | 0.384858i | ||||
\(248\) | −0.150716 | + | 0.167387i | −0.00957048 | + | 0.0106291i | ||||
\(249\) | −3.73403 | + | 1.90117i | −0.236635 | + | 0.120482i | ||||
\(250\) | 5.79858 | − | 0.609456i | 0.366735 | − | 0.0385454i | ||||
\(251\) | −1.71741 | − | 0.558020i | −0.108402 | − | 0.0352219i | 0.254314 | − | 0.967122i | \(-0.418150\pi\) |
−0.362716 | + | 0.931900i | \(0.618150\pi\) | |||||||
\(252\) | 13.2525 | + | 10.6157i | 0.834832 | + | 0.668725i | ||||
\(253\) | 1.95120 | − | 10.9200i | 0.122671 | − | 0.686535i | ||||
\(254\) | 6.35741 | + | 3.67045i | 0.398899 | + | 0.230305i | ||||
\(255\) | 1.66952 | − | 1.66851i | 0.104549 | − | 0.104486i | ||||
\(256\) | 12.3734 | + | 5.50899i | 0.773338 | + | 0.344312i | ||||
\(257\) | −0.110287 | − | 0.247708i | −0.00687950 | − | 0.0154516i | 0.910073 | − | 0.414448i | \(-0.136025\pi\) |
−0.916953 | + | 0.398996i | \(0.869359\pi\) | |||||||
\(258\) | 17.9635 | + | 14.5555i | 1.11836 | + | 0.906187i | ||||
\(259\) | 4.43133 | − | 8.82558i | 0.275349 | − | 0.548395i | ||||
\(260\) | 2.30411 | + | 1.67403i | 0.142895 | + | 0.103819i | ||||
\(261\) | −25.3936 | − | 8.26778i | −1.57182 | − | 0.511763i | ||||
\(262\) | −8.88955 | + | 1.88953i | −0.549198 | + | 0.116736i | ||||
\(263\) | −9.10747 | − | 15.7746i | −0.561591 | − | 0.972704i | −0.997358 | − | 0.0726442i | \(-0.976856\pi\) |
0.435767 | − | 0.900059i | \(-0.356477\pi\) | |||||||
\(264\) | 0.691795 | − | 1.47361i | 0.0425770 | − | 0.0906942i | ||||
\(265\) | 1.58292 | 0.0972379 | ||||||||
\(266\) | −33.9566 | − | 1.57834i | −2.08201 | − | 0.0967743i | ||||
\(267\) | −1.51938 | + | 3.95456i | −0.0929846 | + | 0.242015i | ||||
\(268\) | −13.9929 | + | 6.23002i | −0.854750 | + | 0.380559i | ||||
\(269\) | 4.99016 | + | 4.49316i | 0.304255 | + | 0.273953i | 0.807088 | − | 0.590431i | \(-0.201042\pi\) |
−0.502833 | + | 0.864384i | \(0.667709\pi\) | |||||||
\(270\) | −2.56076 | − | 1.66626i | −0.155843 | − | 0.101406i | ||||
\(271\) | 3.50061 | + | 7.86250i | 0.212647 | + | 0.477613i | 0.988104 | − | 0.153788i | \(-0.0491472\pi\) |
−0.775457 | + | 0.631400i | \(0.782481\pi\) | |||||||
\(272\) | −14.1229 | + | 10.2609i | −0.856329 | + | 0.622159i | ||||
\(273\) | 10.6577 | + | 18.2227i | 0.645031 | + | 1.10289i | ||||
\(274\) | − | 32.4967i | − | 1.96320i | ||||||
\(275\) | 1.17458 | − | 16.2638i | 0.0708300 | − | 0.980742i | ||||
\(276\) | −11.0407 | − | 5.62969i | −0.664570 | − | 0.338867i | ||||
\(277\) | −1.75212 | − | 8.24309i | −0.105275 | − | 0.495279i | −0.998918 | − | 0.0465013i | \(-0.985193\pi\) |
0.893643 | − | 0.448778i | \(-0.148141\pi\) | |||||||
\(278\) | 15.7767 | − | 1.65820i | 0.946223 | − | 0.0994520i | ||||
\(279\) | 2.06575 | − | 1.19100i | 0.123673 | − | 0.0713034i | ||||
\(280\) | −0.193638 | − | 0.0972256i | −0.0115721 | − | 0.00581034i | ||||
\(281\) | 9.31731 | + | 28.6757i | 0.555824 | + | 1.71065i | 0.693756 | + | 0.720210i | \(0.255954\pi\) |
−0.137932 | + | 0.990442i | \(0.544046\pi\) | |||||||
\(282\) | −13.0432 | + | 20.0715i | −0.776711 | + | 1.19524i | ||||
\(283\) | −11.2947 | + | 25.3682i | −0.671398 | + | 1.50799i | 0.180111 | + | 0.983646i | \(0.442354\pi\) |
−0.851509 | + | 0.524339i | \(0.824312\pi\) | |||||||
\(284\) | −3.90767 | − | 18.3841i | −0.231877 | − | 1.09090i | ||||
\(285\) | 3.15675 | − | 0.164485i | 0.186990 | − | 0.00974327i | ||||
\(286\) | 22.4098 | − | 21.5422i | 1.32512 | − | 1.27382i | ||||
\(287\) | −1.88527 | + | 7.20606i | −0.111284 | + | 0.425360i | ||||
\(288\) | 18.0456 | + | 16.2680i | 1.06334 | + | 0.958600i | ||||
\(289\) | −0.547308 | − | 5.20729i | −0.0321946 | − | 0.306311i | ||||
\(290\) | 5.20530 | + | 0.547099i | 0.305666 | + | 0.0321268i | ||||
\(291\) | −17.6194 | − | 2.79608i | −1.03287 | − | 0.163909i | ||||
\(292\) | −6.29169 | + | 29.6001i | −0.368193 | + | 1.73221i | ||||
\(293\) | −8.99926 | − | 6.53835i | −0.525743 | − | 0.381974i | 0.293020 | − | 0.956106i | \(-0.405340\pi\) |
−0.818763 | + | 0.574132i | \(0.805340\pi\) | |||||||
\(294\) | −15.7435 | − | 18.9899i | −0.918179 | − | 1.10752i | ||||
\(295\) | 0.598269 | − | 1.84128i | 0.0348325 | − | 0.107204i | ||||
\(296\) | −0.528882 | + | 0.916050i | −0.0307406 | + | 0.0532443i | ||||
\(297\) | −11.7934 | + | 12.5664i | −0.684325 | + | 0.729177i | ||||
\(298\) | 21.4142 | + | 37.0905i | 1.24049 | + | 2.14859i | ||||
\(299\) | −10.3098 | − | 11.4502i | −0.596232 | − | 0.662183i | ||||
\(300\) | −17.0054 | − | 6.53362i | −0.981805 | − | 0.377219i | ||||
\(301\) | −11.0038 | − | 13.4255i | −0.634250 | − | 0.773834i | ||||
\(302\) | 10.0852 | − | 3.27688i | 0.580337 | − | 0.188563i | ||||
\(303\) | 2.89321 | + | 7.54386i | 0.166211 | + | 0.433384i | ||||
\(304\) | −23.2506 | − | 2.44374i | −1.33351 | − | 0.140158i | ||||
\(305\) | 0.615004 | + | 0.273818i | 0.0352150 | + | 0.0156787i | ||||
\(306\) | −27.3781 | + | 8.87747i | −1.56510 | + | 0.507491i | ||||
\(307\) | − | 12.8847i | − | 0.735370i | −0.929950 | − | 0.367685i | \(-0.880151\pi\) | ||
0.929950 | − | 0.367685i | \(-0.119849\pi\) | |||||||
\(308\) | −11.2429 | + | 15.0330i | −0.640623 | + | 0.856586i | ||||
\(309\) | −7.37767 | − | 11.3681i | −0.419701 | − | 0.646709i | ||||
\(310\) | −0.347294 | + | 0.312705i | −0.0197250 | + | 0.0177605i | ||||
\(311\) | −6.95232 | + | 15.6152i | −0.394230 | + | 0.885455i | 0.601983 | + | 0.798509i | \(0.294377\pi\) |
−0.996213 | + | 0.0869462i | \(0.972289\pi\) | |||||||
\(312\) | −1.02592 | − | 2.01498i | −0.0580813 | − | 0.114076i | ||||
\(313\) | −19.5088 | − | 4.14672i | −1.10270 | − | 0.234386i | −0.379615 | − | 0.925145i | \(-0.623943\pi\) |
−0.723086 | + | 0.690758i | \(0.757277\pi\) | |||||||
\(314\) | 2.00905 | + | 6.18323i | 0.113377 | + | 0.348940i | ||||
\(315\) | 1.63056 | + | 1.61333i | 0.0918715 | + | 0.0909010i | ||||
\(316\) | 10.5898 | + | 14.5756i | 0.595722 | + | 0.819941i | ||||
\(317\) | −5.07218 | + | 4.56701i | −0.284882 | + | 0.256509i | −0.799165 | − | 0.601111i | \(-0.794725\pi\) |
0.514283 | + | 0.857621i | \(0.328058\pi\) | |||||||
\(318\) | −17.1953 | − | 8.76795i | −0.964263 | − | 0.491682i | ||||
\(319\) | 8.20273 | − | 28.3618i | 0.459264 | − | 1.58796i | ||||
\(320\) | −2.27069 | − | 1.31099i | −0.126936 | − | 0.0732864i | ||||
\(321\) | 14.8023 | − | 3.96149i | 0.826184 | − | 0.221109i | ||||
\(322\) | 14.0583 | + | 11.2472i | 0.783438 | + | 0.626783i | ||||
\(323\) | 17.5036 | − | 24.0916i | 0.973927 | − | 1.34050i | ||||
\(324\) | 9.60671 | + | 16.6857i | 0.533706 | + | 0.926982i | ||||
\(325\) | −16.8313 | − | 15.1549i | −0.933631 | − | 0.840645i | ||||
\(326\) | −0.560116 | + | 5.32915i | −0.0310220 | + | 0.295154i | ||||
\(327\) | −3.53039 | − | 4.36235i | −0.195231 | − | 0.241238i | ||||
\(328\) | 0.246537 | − | 0.758762i | 0.0136127 | − | 0.0418956i | ||||
\(329\) | 12.6329 | − | 12.7831i | 0.696473 | − | 0.704757i | ||||
\(330\) | 1.74706 | − | 2.89066i | 0.0961725 | − | 0.159125i | ||||
\(331\) | 3.51877 | − | 6.09469i | 0.193409 | − | 0.334994i | −0.752969 | − | 0.658056i | \(-0.771379\pi\) |
0.946378 | + | 0.323062i | \(0.104712\pi\) | |||||||
\(332\) | −5.06225 | + | 1.07601i | −0.277827 | + | 0.0590539i | ||||
\(333\) | 8.32616 | − | 7.48784i | 0.456271 | − | 0.410331i | ||||
\(334\) | 33.0251 | − | 14.7037i | 1.80705 | − | 0.804551i | ||||
\(335\) | −1.96789 | + | 0.639406i | −0.107517 | + | 0.0349345i | ||||
\(336\) | −10.0485 | − | 13.6687i | −0.548192 | − | 0.745686i | ||||
\(337\) | 12.8114 | − | 17.6334i | 0.697882 | − | 0.960553i | −0.302091 | − | 0.953279i | \(-0.597685\pi\) |
0.999974 | − | 0.00727367i | \(-0.00231530\pi\) | |||||||
\(338\) | −1.74845 | − | 16.6354i | −0.0951031 | − | 0.904845i | ||||
\(339\) | −1.11351 | + | 1.11284i | −0.0604774 | + | 0.0604410i | ||||
\(340\) | 2.52473 | − | 1.45765i | 0.136923 | − | 0.0790523i | ||||
\(341\) | 1.39184 | + | 2.23877i | 0.0753725 | + | 0.121236i | ||||
\(342\) | −35.2029 | − | 15.6987i | −1.90355 | − | 0.848891i | ||||
\(343\) | 8.69937 | + | 16.3500i | 0.469722 | + | 0.882815i | ||||
\(344\) | 1.09286 | + | 1.50419i | 0.0589230 | + | 0.0811005i | ||||
\(345\) | −1.40380 | − | 0.912240i | −0.0755781 | − | 0.0491133i | ||||
\(346\) | 3.31834 | − | 3.68539i | 0.178395 | − | 0.198128i | ||||
\(347\) | −5.81662 | + | 6.46001i | −0.312253 | + | 0.346792i | −0.878759 | − | 0.477266i | \(-0.841628\pi\) |
0.566507 | + | 0.824057i | \(0.308295\pi\) | |||||||
\(348\) | −27.6578 | − | 17.9730i | −1.48261 | − | 0.963456i | ||||
\(349\) | 18.2286 | + | 25.0895i | 0.975754 | + | 1.34301i | 0.939086 | + | 0.343682i | \(0.111674\pi\) |
0.0366679 | + | 0.999328i | \(0.488326\pi\) | |||||||
\(350\) | 22.2800 | + | 14.2822i | 1.19091 | + | 0.763417i | ||||
\(351\) | 3.72323 | + | 23.6457i | 0.198731 | + | 1.26212i | ||||
\(352\) | −17.3123 | + | 20.5366i | −0.922746 | + | 1.09460i | ||||
\(353\) | 18.0631 | − | 10.4288i | 0.961403 | − | 0.555066i | 0.0647986 | − | 0.997898i | \(-0.479359\pi\) |
0.896605 | + | 0.442832i | \(0.146026\pi\) | |||||||
\(354\) | −16.6981 | + | 16.6880i | −0.887492 | + | 0.886957i | ||||
\(355\) | −0.265394 | − | 2.52505i | −0.0140856 | − | 0.134016i | ||||
\(356\) | −3.07556 | + | 4.23314i | −0.163004 | + | 0.224356i | ||||
\(357\) | 21.4778 | − | 2.37932i | 1.13672 | − | 0.125927i | ||||
\(358\) | 19.3506 | − | 6.28738i | 1.02271 | − | 0.332298i | ||||
\(359\) | −21.9574 | + | 9.77606i | −1.15887 | + | 0.515961i | −0.893887 | − | 0.448293i | \(-0.852032\pi\) |
−0.264981 | + | 0.964254i | \(0.585366\pi\) | |||||||
\(360\) | −0.164287 | − | 0.182680i | −0.00865867 | − | 0.00962808i | ||||
\(361\) | 20.4243 | − | 4.34132i | 1.07496 | − | 0.228490i | ||||
\(362\) | −6.98295 | + | 12.0948i | −0.367016 | + | 0.635690i | ||||
\(363\) | −14.3182 | − | 12.5694i | −0.751508 | − | 0.659724i | ||||
\(364\) | 6.89722 | + | 25.1452i | 0.361513 | + | 1.31797i | ||||
\(365\) | −1.26325 | + | 3.88788i | −0.0661214 | + | 0.203501i | ||||
\(366\) | −5.16410 | − | 6.38106i | −0.269932 | − | 0.333543i | ||||
\(367\) | −2.60251 | + | 24.7612i | −0.135850 | + | 1.29252i | 0.687998 | + | 0.725712i | \(0.258490\pi\) |
−0.823848 | + | 0.566811i | \(0.808177\pi\) | |||||||
\(368\) | 9.20161 | + | 8.28517i | 0.479667 | + | 0.431894i | ||||
\(369\) | −4.96850 | + | 6.82990i | −0.258650 | + | 0.355550i | ||||
\(370\) | −1.28998 | + | 1.77551i | −0.0670629 | + | 0.0923042i | ||||
\(371\) | 11.3159 | + | 9.05320i | 0.587493 | + | 0.470019i | ||||
\(372\) | 2.84500 | − | 0.761399i | 0.147507 | − | 0.0394767i | ||||
\(373\) | −18.8075 | − | 10.8585i | −0.973814 | − | 0.562232i | −0.0734169 | − | 0.997301i | \(-0.523390\pi\) |
−0.900397 | + | 0.435070i | \(0.856724\pi\) | |||||||
\(374\) | −10.8145 | − | 29.9249i | −0.559204 | − | 1.54738i | ||||
\(375\) | −4.42201 | − | 2.25480i | −0.228352 | − | 0.116438i | ||||
\(376\) | −1.43053 | + | 1.28806i | −0.0737742 | + | 0.0664265i | ||||
\(377\) | −24.1040 | − | 33.1763i | −1.24142 | − | 1.70867i | ||||
\(378\) | −8.77637 | − | 26.5575i | −0.451408 | − | 1.36597i | ||||
\(379\) | −5.63807 | − | 17.3522i | −0.289608 | − | 0.891323i | −0.984979 | − | 0.172672i | \(-0.944760\pi\) |
0.695371 | − | 0.718651i | \(-0.255240\pi\) | |||||||
\(380\) | 3.81893 | + | 0.811738i | 0.195907 | + | 0.0416413i | ||||
\(381\) | −2.83555 | − | 5.56923i | −0.145270 | − | 0.285320i | ||||
\(382\) | 2.02685 | − | 4.55238i | 0.103703 | − | 0.232920i | ||||
\(383\) | 6.69199 | − | 6.02549i | 0.341945 | − | 0.307888i | −0.480209 | − | 0.877154i | \(-0.659439\pi\) |
0.822154 | + | 0.569266i | \(0.192772\pi\) | |||||||
\(384\) | 2.13244 | + | 3.28584i | 0.108821 | + | 0.167680i | ||||
\(385\) | −1.72274 | + | 1.86091i | −0.0877988 | + | 0.0948406i | ||||
\(386\) | 41.0899i | 2.09142i | ||||||||
\(387\) | −6.07113 | − | 18.7234i | −0.308613 | − | 0.951762i | ||||
\(388\) | −20.1294 | − | 8.96220i | −1.02192 | − | 0.454987i | ||||
\(389\) | −16.2219 | − | 1.70499i | −0.822482 | − | 0.0864464i | −0.316068 | − | 0.948737i | \(-0.602363\pi\) |
−0.506414 | + | 0.862290i | \(0.669029\pi\) | |||||||
\(390\) | −1.67992 | − | 4.38027i | −0.0850659 | − | 0.221804i | ||||
\(391\) | −14.9998 | + | 4.87373i | −0.758573 | + | 0.246475i | ||||
\(392\) | −0.828207 | − | 1.80252i | −0.0418308 | − | 0.0910408i | ||||
\(393\) | 7.22229 | + | 2.77487i | 0.364316 | + | 0.139974i | ||||
\(394\) | −6.31350 | − | 7.01185i | −0.318069 | − | 0.353252i | ||||
\(395\) | 1.21690 | + | 2.10774i | 0.0612291 | + | 0.106052i | ||||
\(396\) | −18.0837 | + | 11.2276i | −0.908740 | + | 0.564206i | ||||
\(397\) | −6.52114 | + | 11.2949i | −0.327287 | + | 0.566877i | −0.981972 | − | 0.189024i | \(-0.939468\pi\) |
0.654686 | + | 0.755901i | \(0.272801\pi\) | |||||||
\(398\) | −10.7119 | + | 32.9677i | −0.536937 | + | 1.65252i | ||||
\(399\) | 23.5076 | + | 16.8785i | 1.17685 | + | 0.844984i | ||||
\(400\) | 14.7249 | + | 10.6982i | 0.736244 | + | 0.534912i | ||||
\(401\) | −0.587478 | + | 2.76387i | −0.0293373 | + | 0.138021i | −0.990379 | − | 0.138383i | \(-0.955809\pi\) |
0.961042 | + | 0.276404i | \(0.0891428\pi\) | |||||||
\(402\) | 24.9190 | + | 3.95446i | 1.24284 | + | 0.197231i | ||||
\(403\) | 3.64148 | + | 0.382735i | 0.181395 | + | 0.0190654i | ||||
\(404\) | 1.04312 | + | 9.92464i | 0.0518972 | + | 0.493769i | ||||
\(405\) | 1.05503 | + | 2.37734i | 0.0524251 | + | 0.118131i | ||||
\(406\) | 34.0825 | + | 33.6818i | 1.69148 | + | 1.67160i | ||||
\(407\) | 8.57933 | + | 8.92483i | 0.425262 | + | 0.442388i | ||||
\(408\) | −2.31139 | + | 0.120437i | −0.114431 | + | 0.00596254i | ||||
\(409\) | 3.59528 | + | 16.9145i | 0.177775 | + | 0.836366i | 0.973136 | + | 0.230230i | \(0.0739479\pi\) |
−0.795361 | + | 0.606136i | \(0.792719\pi\) | |||||||
\(410\) | 0.673269 | − | 1.51219i | 0.0332504 | − | 0.0746816i | ||||
\(411\) | −15.0747 | + | 23.1976i | −0.743578 | + | 1.14426i | ||||
\(412\) | −5.17253 | − | 15.9194i | −0.254832 | − | 0.784293i | ||||
\(413\) | 14.8077 | − | 9.74121i | 0.728641 | − | 0.479334i | ||||
\(414\) | 10.1965 | + | 17.6855i | 0.501132 | + | 0.869194i | ||||
\(415\) | −0.695298 | + | 0.0730788i | −0.0341309 | + | 0.00358730i | ||||
\(416\) | 7.75674 | + | 36.4926i | 0.380305 | + | 1.78920i | ||||
\(417\) | −12.0313 | − | 6.13483i | −0.589177 | − | 0.300424i | ||||
\(418\) | 16.0532 | − | 39.4733i | 0.785186 | − | 1.93070i | ||||
\(419\) | − | 11.7343i | − | 0.573256i | −0.958042 | − | 0.286628i | \(-0.907466\pi\) | ||
0.958042 | − | 0.286628i | \(-0.0925344\pi\) | |||||||
\(420\) | 1.43031 | + | 2.44557i | 0.0697919 | + | 0.119332i | ||||
\(421\) | −5.23573 | + | 3.80398i | −0.255174 | + | 0.185395i | −0.708017 | − | 0.706196i | \(-0.750410\pi\) |
0.452843 | + | 0.891590i | \(0.350410\pi\) | |||||||
\(422\) | −16.3213 | − | 36.6582i | −0.794508 | − | 1.78449i | ||||
\(423\) | 18.6217 | − | 8.27747i | 0.905416 | − | 0.402464i | ||||
\(424\) | −1.15350 | − | 1.03862i | −0.0560190 | − | 0.0504398i | ||||
\(425\) | −21.1794 | + | 9.42966i | −1.02735 | + | 0.457406i | ||||
\(426\) | −11.1036 | + | 28.8998i | −0.537969 | + | 1.40020i | ||||
\(427\) | 2.83048 | + | 5.47486i | 0.136976 | + | 0.264947i | ||||
\(428\) | 18.9260 | 0.914823 | ||||||||
\(429\) | −25.9902 | + | 4.98233i | −1.25482 | + | 0.240549i | ||||
\(430\) | 1.92882 | + | 3.34081i | 0.0930158 | + | 0.161108i | ||||
\(431\) | 10.9546 | − | 2.32846i | 0.527663 | − | 0.112158i | 0.0636255 | − | 0.997974i | \(-0.479734\pi\) |
0.464037 | + | 0.885816i | \(0.346400\pi\) | |||||||
\(432\) | −4.96194 | − | 18.5853i | −0.238731 | − | 0.894186i | ||||
\(433\) | 14.5826 | + | 10.5949i | 0.700797 | + | 0.509159i | 0.880192 | − | 0.474619i | \(-0.157414\pi\) |
−0.179395 | + | 0.983777i | \(0.557414\pi\) | |||||||
\(434\) | −4.27119 | + | 0.249173i | −0.205024 | + | 0.0119607i | ||||
\(435\) | −3.46199 | − | 2.80519i | −0.165990 | − | 0.134499i | ||||
\(436\) | −2.81925 | − | 6.33214i | −0.135018 | − | 0.303255i | ||||
\(437\) | −19.2958 | − | 8.59103i | −0.923042 | − | 0.410965i | ||||
\(438\) | 35.2580 | − | 35.2368i | 1.68469 | − | 1.68368i | ||||
\(439\) | −9.43184 | − | 5.44547i | −0.450157 | − | 0.259898i | 0.257740 | − | 0.966214i | \(-0.417022\pi\) |
−0.707896 | + | 0.706316i | \(0.750356\pi\) | |||||||
\(440\) | 0.195815 | − | 0.188235i | 0.00933513 | − | 0.00897374i | ||||
\(441\) | 2.42933 | + | 20.8590i | 0.115682 | + | 0.993286i | ||||
\(442\) | −42.0326 | − | 13.6572i | −1.99929 | − | 0.649607i | ||||
\(443\) | 37.5848 | − | 3.95032i | 1.78571 | − | 0.187685i | 0.846813 | − | 0.531891i | \(-0.178518\pi\) |
0.938894 | + | 0.344206i | \(0.111852\pi\) | |||||||
\(444\) | 12.3251 | − | 6.27530i | 0.584925 | − | 0.297813i | ||||
\(445\) | −0.472971 | + | 0.525287i | −0.0224210 | + | 0.0249010i | ||||
\(446\) | 57.2528 | + | 12.1695i | 2.71100 | + | 0.576240i | ||||
\(447\) | 1.91918 | − | 36.4105i | 0.0907743 | − | 1.72216i | ||||
\(448\) | −8.73473 | − | 22.3587i | −0.412677 | − | 1.05635i | ||||
\(449\) | 20.9243 | + | 6.79871i | 0.987478 | + | 0.320851i | 0.757851 | − | 0.652428i | \(-0.226249\pi\) |
0.229627 | + | 0.973279i | \(0.426249\pi\) | |||||||
\(450\) | 17.6237 | + | 24.2877i | 0.830789 | + | 1.14493i | ||||
\(451\) | −7.72904 | − | 5.23901i | −0.363946 | − | 0.246695i | ||||
\(452\) | −1.68390 | + | 0.972200i | −0.0792040 | + | 0.0457285i | ||||
\(453\) | −8.71935 | − | 2.33916i | −0.409671 | − | 0.109903i | ||||
\(454\) | −20.8230 | + | 15.1288i | −0.977271 | + | 0.710029i | ||||
\(455\) | 0.571566 | + | 3.47561i | 0.0267954 | + | 0.162939i | ||||
\(456\) | −2.40831 | − | 1.95141i | −0.112779 | − | 0.0913831i | ||||
\(457\) | −7.77504 | + | 36.5787i | −0.363701 | + | 1.71108i | 0.292307 | + | 0.956325i | \(0.405577\pi\) |
−0.656008 | + | 0.754754i | \(0.727756\pi\) | |||||||
\(458\) | −2.01730 | + | 19.1933i | −0.0942621 | + | 0.896844i | ||||
\(459\) | 23.6618 | + | 6.36308i | 1.10444 | + | 0.297003i | ||||
\(460\) | −1.38362 | − | 1.53667i | −0.0645118 | − | 0.0716476i | ||||
\(461\) | 28.8252 | 1.34252 | 0.671262 | − | 0.741220i | \(-0.265752\pi\) | ||||
0.671262 | + | 0.741220i | \(0.265752\pi\) | |||||||
\(462\) | 29.0219 | − | 10.6726i | 1.35022 | − | 0.496536i | ||||
\(463\) | 1.85027 | 0.0859894 | 0.0429947 | − | 0.999075i | \(-0.486310\pi\) | ||||
0.0429947 | + | 0.999075i | \(0.486310\pi\) | |||||||
\(464\) | 22.0512 | + | 24.4903i | 1.02370 | + | 1.13693i | ||||
\(465\) | 0.392973 | − | 0.0621196i | 0.0182237 | − | 0.00288073i | ||||
\(466\) | 3.77328 | − | 35.9004i | 0.174794 | − | 1.66305i | ||||
\(467\) | −2.09723 | + | 9.86670i | −0.0970483 | + | 0.456577i | 0.902611 | + | 0.430458i | \(0.141648\pi\) |
−0.999659 | + | 0.0261183i | \(0.991685\pi\) | |||||||
\(468\) | −3.10809 | + | 29.4013i | −0.143672 | + | 1.35907i | ||||
\(469\) | −17.7249 | − | 6.68400i | −0.818462 | − | 0.308639i | ||||
\(470\) | −3.23116 | + | 2.34757i | −0.149042 | + | 0.108286i | ||||
\(471\) | 1.43414 | − | 5.34583i | 0.0660815 | − | 0.246323i | ||||
\(472\) | −1.64411 | + | 0.949228i | −0.0756764 | + | 0.0436918i | ||||
\(473\) | 20.4651 | − | 7.39582i | 0.940984 | − | 0.340060i | ||||
\(474\) | −1.54426 | − | 29.6370i | −0.0709303 | − | 1.36127i | ||||
\(475\) | −29.5285 | − | 9.59440i | −1.35486 | − | 0.440221i | ||||
\(476\) | 26.3855 | + | 4.01929i | 1.20938 | + | 0.184224i | ||||
\(477\) | 8.20747 | + | 14.2355i | 0.375794 | + | 0.651801i | ||||
\(478\) | 16.9742 | + | 3.60798i | 0.776382 | + | 0.165025i | ||||
\(479\) | 9.19118 | − | 10.2078i | 0.419956 | − | 0.466408i | −0.495628 | − | 0.868535i | \(-0.665062\pi\) |
0.915584 | + | 0.402127i | \(0.131729\pi\) | |||||||
\(480\) | 1.83928 | + | 3.61249i | 0.0839515 | + | 0.164887i | ||||
\(481\) | 17.1009 | − | 1.79737i | 0.779732 | − | 0.0819531i | ||||
\(482\) | −59.5681 | − | 19.3549i | −2.71325 | − | 0.881590i | ||||
\(483\) | −4.81806 | − | 14.5502i | −0.219229 | − | 0.662055i | ||||
\(484\) | −13.0698 | − | 19.5689i | −0.594083 | − | 0.889496i | ||||
\(485\) | −2.57780 | − | 1.48830i | −0.117052 | − | 0.0675800i | ||||
\(486\) | 1.70750 | − | 31.6691i | 0.0774540 | − | 1.43654i | ||||
\(487\) | 7.13760 | + | 3.17787i | 0.323436 | + | 0.144003i | 0.562031 | − | 0.827116i | \(-0.310020\pi\) |
−0.238595 | + | 0.971119i | \(0.576687\pi\) | |||||||
\(488\) | −0.268502 | − | 0.603066i | −0.0121545 | − | 0.0272995i | ||||
\(489\) | 2.87193 | − | 3.54436i | 0.129873 | − | 0.160282i | ||||
\(490\) | −1.31803 | − | 3.89899i | −0.0595424 | − | 0.176138i | ||||
\(491\) | 6.43313 | + | 4.67394i | 0.290323 | + | 0.210932i | 0.723407 | − | 0.690421i | \(-0.242575\pi\) |
−0.433085 | + | 0.901353i | \(0.642575\pi\) | |||||||
\(492\) | −8.10893 | + | 6.56244i | −0.365579 | + | 0.295858i | ||||
\(493\) | −41.0595 | + | 8.72747i | −1.84923 | + | 0.393066i | ||||
\(494\) | −29.5939 | − | 51.2582i | −1.33149 | − | 2.30621i | ||||
\(495\) | −2.58806 | + | 1.25305i | −0.116324 | + | 0.0563205i | ||||
\(496\) | −2.94248 | −0.132121 | ||||||||
\(497\) | 12.5443 | − | 19.5689i | 0.562690 | − | 0.877785i | ||||
\(498\) | 7.95783 | + | 3.05747i | 0.356599 | + | 0.137009i | ||||
\(499\) | 21.7064 | − | 9.66432i | 0.971712 | − | 0.432634i | 0.141412 | − | 0.989951i | \(-0.454836\pi\) |
0.830300 | + | 0.557317i | \(0.188169\pi\) | |||||||
\(500\) | −4.55604 | − | 4.10227i | −0.203752 | − | 0.183459i | ||||
\(501\) | −30.3956 | − | 4.82357i | −1.35798 | − | 0.215501i | ||||
\(502\) | 1.49432 | + | 3.35630i | 0.0666948 | + | 0.149799i | ||||
\(503\) | 11.8854 | − | 8.63525i | 0.529944 | − | 0.385027i | −0.290393 | − | 0.956908i | \(-0.593786\pi\) |
0.820337 | + | 0.571881i | \(0.193786\pi\) | |||||||
\(504\) | −0.129644 | − | 2.24554i | −0.00577482 | − | 0.100024i | ||||
\(505\) | 1.34809i | 0.0599891i | ||||||||
\(506\) | −19.1668 | + | 11.9160i | −0.852066 | + | 0.529730i | ||||
\(507\) | −6.46874 | + | 12.6862i | −0.287287 | + | 0.563412i | ||||
\(508\) | −1.60485 | − | 7.55023i | −0.0712038 | − | 0.334987i | ||||
\(509\) | −10.8751 | + | 1.14302i | −0.482032 | + | 0.0506636i | −0.342429 | − | 0.939544i | \(-0.611249\pi\) |
−0.139604 | + | 0.990207i | \(0.544583\pi\) | |||||||
\(510\) | −4.79552 | − | 0.252770i | −0.212349 | − | 0.0111929i | ||||
\(511\) | −31.2666 | + | 20.5686i | −1.38315 | + | 0.909902i | ||||
\(512\) | −9.91311 | − | 30.5094i | −0.438102 | − | 1.34834i | ||||
\(513\) | 17.8471 | + | 27.5365i | 0.787967 | + | 1.21577i | ||||
\(514\) | −0.224381 | + | 0.503968i | −0.00989703 | + | 0.0222291i | ||||
\(515\) | −0.470129 | − | 2.21178i | −0.0207164 | − | 0.0974629i | ||||
\(516\) | −1.26503 | − | 24.2780i | −0.0556897 | − | 1.06878i | ||||
\(517\) | 9.82994 | + | 20.2717i | 0.432320 | + | 0.891547i | ||||
\(518\) | −19.3764 | + | 5.31488i | −0.851352 | + | 0.233522i | ||||
\(519\) | −4.07837 | + | 1.09148i | −0.179020 | + | 0.0479106i | ||||
\(520\) | −0.0394352 | − | 0.375201i | −0.00172935 | − | 0.0164537i | ||||
\(521\) | 0.265132 | + | 0.0278665i | 0.0116156 | + | 0.00122085i | 0.110334 | − | 0.993895i | \(-0.464808\pi\) |
−0.0987189 | + | 0.995115i | \(0.531474\pi\) | |||||||
\(522\) | 22.0694 | + | 49.6492i | 0.965953 | + | 2.17309i | ||||
\(523\) | 5.51493 | − | 25.9457i | 0.241151 | − | 1.13453i | −0.676284 | − | 0.736641i | \(-0.736411\pi\) |
0.917435 | − | 0.397885i | \(-0.130256\pi\) | |||||||
\(524\) | 7.73107 | + | 5.61695i | 0.337733 | + | 0.245378i | ||||
\(525\) | −9.27919 | − | 20.5306i | −0.404977 | − | 0.896028i | ||||
\(526\) | −11.4518 | + | 35.2449i | −0.499321 | + | 1.53675i | ||||
\(527\) | 1.87401 | − | 3.24589i | 0.0816333 | − | 0.141393i | ||||
\(528\) | 20.3533 | − | 6.16517i | 0.885762 | − | 0.268304i | ||||
\(529\) | −5.90664 | − | 10.2306i | −0.256811 | − | 0.444809i | ||||
\(530\) | −2.15492 | − | 2.39329i | −0.0936039 | − | 0.103958i | ||||
\(531\) | 19.6611 | − | 4.16673i | 0.853219 | − | 0.180821i | ||||
\(532\) | 22.6580 | + | 27.6446i | 0.982351 | + | 1.19854i | ||||
\(533\) | −12.3345 | + | 4.00771i | −0.534265 | + | 0.173593i | ||||
\(534\) | 8.04751 | − | 3.08637i | 0.348250 | − | 0.133560i | ||||
\(535\) | 2.54268 | + | 0.267246i | 0.109930 | + | 0.0115541i | ||||
\(536\) | 1.85358 | + | 0.825267i | 0.0800624 | + | 0.0356461i | ||||
\(537\) | −16.7299 | − | 4.48816i | −0.721949 | − | 0.193679i | ||||
\(538\) | − | 13.6617i | − | 0.588997i | ||||||
\(539\) | −22.9586 | + | 3.45032i | −0.988895 | + | 0.148616i | ||||
\(540\) | 0.499674 | + | 3.17336i | 0.0215026 | + | 0.136560i | ||||
\(541\) | −5.05890 | + | 4.55505i | −0.217499 | + | 0.195837i | −0.770677 | − | 0.637226i | \(-0.780082\pi\) |
0.553178 | + | 0.833063i | \(0.313415\pi\) | |||||||
\(542\) | 7.12207 | − | 15.9964i | 0.305919 | − | 0.687106i | ||||
\(543\) | 10.5953 | − | 5.39457i | 0.454689 | − | 0.231503i | ||||
\(544\) | 37.3546 | + | 7.93996i | 1.60156 | + | 0.340423i | ||||
\(545\) | −0.289348 | − | 0.890522i | −0.0123943 | − | 0.0381458i | ||||
\(546\) | 13.0428 | − | 40.9215i | 0.558181 | − | 1.75128i | ||||
\(547\) | −17.6158 | − | 24.2461i | −0.753197 | − | 1.03669i | −0.997750 | − | 0.0670505i | \(-0.978641\pi\) |
0.244553 | − | 0.969636i | \(-0.421359\pi\) | |||||||
\(548\) | −25.3933 | + | 22.8642i | −1.08475 | + | 0.976712i | ||||
\(549\) | 0.726310 | + | 6.95063i | 0.0309982 | + | 0.296646i | ||||
\(550\) | −26.1890 | + | 20.3650i | −1.11670 | + | 0.868365i | ||||
\(551\) | −48.6848 | − | 28.1082i | −2.07404 | − | 1.19745i | ||||
\(552\) | 0.424418 | + | 1.58586i | 0.0180644 | + | 0.0674986i | ||||
\(553\) | −3.35545 | + | 22.0276i | −0.142688 | + | 0.936708i | ||||
\(554\) | −10.0778 | + | 13.8709i | −0.428166 | + | 0.589320i | ||||
\(555\) | 1.74447 | − | 0.669038i | 0.0740488 | − | 0.0283991i | ||||
\(556\) | −12.3960 | − | 11.1614i | −0.525707 | − | 0.473349i | ||||
\(557\) | 2.88206 | − | 27.4210i | 0.122117 | − | 1.16186i | −0.746154 | − | 0.665773i | \(-0.768102\pi\) |
0.868271 | − | 0.496090i | \(-0.165232\pi\) | |||||||
\(558\) | −4.61296 | − | 1.50191i | −0.195282 | − | 0.0635810i | ||||
\(559\) | 9.33991 | − | 28.7453i | 0.395036 | − | 1.21580i | ||||
\(560\) | −0.748760 | − | 2.72975i | −0.0316409 | − | 0.115353i | ||||
\(561\) | −6.16176 | + | 26.3784i | −0.260150 | + | 1.11370i | ||||
\(562\) | 30.6719 | − | 53.1253i | 1.29382 | − | 2.24096i | ||||
\(563\) | 15.5981 | − | 3.31547i | 0.657380 | − | 0.139730i | 0.132868 | − | 0.991134i | \(-0.457581\pi\) |
0.524512 | + | 0.851403i | \(0.324248\pi\) | |||||||
\(564\) | 24.8611 | − | 3.92995i | 1.04684 | − | 0.165481i | ||||
\(565\) | −0.239957 | + | 0.106836i | −0.0100951 | + | 0.00449462i | ||||
\(566\) | 53.7315 | − | 17.4584i | 2.25851 | − | 0.733833i | ||||
\(567\) | −6.05458 | + | 23.0292i | −0.254268 | + | 0.967134i | ||||
\(568\) | −1.46340 | + | 2.01419i | −0.0614028 | + | 0.0845136i | ||||
\(569\) | −0.104893 | − | 0.997990i | −0.00439734 | − | 0.0418379i | 0.992103 | − | 0.125424i | \(-0.0400292\pi\) |
−0.996501 | + | 0.0835864i | \(0.973363\pi\) | |||||||
\(570\) | −4.54617 | − | 4.54891i | −0.190418 | − | 0.190533i | ||||
\(571\) | −13.3670 | + | 7.71742i | −0.559390 | + | 0.322964i | −0.752901 | − | 0.658134i | \(-0.771346\pi\) |
0.193511 | + | 0.981098i | \(0.438013\pi\) | |||||||
\(572\) | −32.6005 | − | 2.35444i | −1.36310 | − | 0.0984440i | ||||
\(573\) | −3.55863 | + | 2.30948i | −0.148664 | + | 0.0964798i | ||||
\(574\) | 13.4617 | − | 6.95964i | 0.561881 | − | 0.290490i | ||||
\(575\) | 9.66550 | + | 13.3034i | 0.403079 | + | 0.554791i | ||||
\(576\) | 0.0163858 | − | 27.2184i | 0.000682742 | − | 1.13410i | ||||
\(577\) | 29.2987 | − | 32.5395i | 1.21972 | − | 1.35464i | 0.304077 | − | 0.952647i | \(-0.401652\pi\) |
0.915644 | − | 0.401990i | \(-0.131681\pi\) | |||||||
\(578\) | −7.12806 | + | 7.91651i | −0.296488 | + | 0.329283i | ||||
\(579\) | 19.0609 | − | 29.3319i | 0.792144 | − | 1.21899i | ||||
\(580\) | −3.23487 | − | 4.45241i | −0.134321 | − | 0.184876i | ||||
\(581\) | −5.38849 | − | 3.45420i | −0.223552 | − | 0.143305i | ||||
\(582\) | 19.7589 | + | 30.4461i | 0.819033 | + | 1.26203i | ||||
\(583\) | −15.4279 | + | 9.59151i | −0.638957 | + | 0.397240i | ||||
\(584\) | 3.47155 | − | 2.00430i | 0.143654 | − | 0.0829386i | ||||
\(585\) | −0.832730 | + | 3.90612i | −0.0344292 | + | 0.161498i | ||||
\(586\) | 2.36563 | + | 22.5075i | 0.0977233 | + | 0.929775i | ||||
\(587\) | 13.8109 | − | 19.0091i | 0.570038 | − | 0.784590i | −0.422521 | − | 0.906353i | \(-0.638855\pi\) |
0.992559 | + | 0.121763i | \(0.0388548\pi\) | |||||||
\(588\) | −3.76205 | + | 25.6632i | −0.155144 | + | 1.05833i | ||||
\(589\) | 4.77377 | − | 1.55109i | 0.196700 | − | 0.0639116i | ||||
\(590\) | −3.59838 | + | 1.60210i | −0.148143 | + | 0.0659575i | ||||
\(591\) | 1.25419 | + | 7.93410i | 0.0515905 | + | 0.326365i | ||||
\(592\) | −13.5163 | + | 2.87298i | −0.555517 | + | 0.118079i | ||||
\(593\) | −15.9461 | + | 27.6195i | −0.654830 | + | 1.13420i | 0.327107 | + | 0.944987i | \(0.393926\pi\) |
−0.981936 | + | 0.189211i | \(0.939407\pi\) | |||||||
\(594\) | 35.0549 | + | 0.723593i | 1.43832 | + | 0.0296894i | ||||
\(595\) | 3.48809 | + | 0.912563i | 0.142998 | + | 0.0374114i | ||||
\(596\) | 13.9162 | − | 42.8296i | 0.570029 | − | 1.75437i | ||||
\(597\) | 22.9398 | − | 18.5648i | 0.938862 | − | 0.759807i | ||||
\(598\) | −3.27671 | + | 31.1758i | −0.133994 | + | 1.27487i | ||||
\(599\) | −13.6956 | − | 12.3316i | −0.559587 | − | 0.503854i | 0.340101 | − | 0.940389i | \(-0.389539\pi\) |
−0.899687 | + | 0.436535i | \(0.856206\pi\) | |||||||
\(600\) | 0.864127 | + | 2.25315i | 0.0352778 | + | 0.0919847i | ||||
\(601\) | 3.51973 | − | 4.84449i | 0.143573 | − | 0.197611i | −0.731174 | − | 0.682191i | \(-0.761027\pi\) |
0.874747 | + | 0.484580i | \(0.161027\pi\) | |||||||
\(602\) | −5.31846 | + | 34.9142i | −0.216764 | + | 1.42300i | ||||
\(603\) | −15.9539 | − | 14.3823i | −0.649692 | − | 0.585694i | ||||
\(604\) | −9.65639 | − | 5.57512i | −0.392913 | − | 0.226848i | ||||
\(605\) | −1.47958 | − | 2.81360i | −0.0601537 | − | 0.114389i | ||||
\(606\) | 7.46720 | − | 14.6443i | 0.303334 | − | 0.594884i | ||||
\(607\) | −5.24037 | + | 4.71845i | −0.212700 | + | 0.191516i | −0.768593 | − | 0.639738i | \(-0.779043\pi\) |
0.555893 | + | 0.831254i | \(0.312376\pi\) | |||||||
\(608\) | 30.0615 | + | 41.3761i | 1.21915 | + | 1.67802i | ||||
\(609\) | −8.70521 | − | 39.8539i | −0.352753 | − | 1.61496i | ||||
\(610\) | −0.423246 | − | 1.30262i | −0.0171367 | − | 0.0527415i | ||||
\(611\) | 30.6086 | + | 6.50607i | 1.23829 | + | 0.263207i | ||||
\(612\) | 26.1998 | + | 15.1475i | 1.05906 | + | 0.612301i | ||||
\(613\) | 9.21214 | − | 20.6908i | 0.372075 | − | 0.835693i | −0.626348 | − | 0.779544i | \(-0.715451\pi\) |
0.998422 | − | 0.0561496i | \(-0.0178824\pi\) | |||||||
\(614\) | −19.4810 | + | 17.5408i | −0.786189 | + | 0.707888i | ||||
\(615\) | −1.18209 | + | 0.767150i | −0.0476663 | + | 0.0309345i | ||||
\(616\) | 2.47641 | − | 0.225718i | 0.0997774 | − | 0.00909445i | ||||
\(617\) | − | 36.9129i | − | 1.48606i | −0.669260 | − | 0.743029i | \(-0.733389\pi\) | ||
0.669260 | − | 0.743029i | \(-0.266611\pi\) | |||||||
\(618\) | −7.14428 | + | 26.6308i | −0.287385 | + | 1.07125i | ||||
\(619\) | 19.4724 | + | 8.66965i | 0.782660 | + | 0.348463i | 0.758860 | − | 0.651254i | \(-0.225757\pi\) |
0.0238002 | + | 0.999717i | \(0.492423\pi\) | |||||||
\(620\) | 0.488703 | + | 0.0513648i | 0.0196268 | + | 0.00206286i | ||||
\(621\) | 0.925236 | − | 17.3547i | 0.0371284 | − | 0.696420i | ||||
\(622\) | 33.0739 | − | 10.7464i | 1.32614 | − | 0.430890i | ||||
\(623\) | −6.38544 | + | 1.05009i | −0.255827 | + | 0.0420710i | ||||
\(624\) | 10.5940 | − | 27.5734i | 0.424098 | − | 1.10382i | ||||
\(625\) | 15.8947 | + | 17.6528i | 0.635787 | + | 0.706113i | ||||
\(626\) | 20.2889 | + | 35.1414i | 0.810907 | + | 1.40453i | ||||
\(627\) | −29.7705 | + | 20.7311i | −1.18892 | + | 0.827920i | ||||
\(628\) | 3.41810 | − | 5.92033i | 0.136397 | − | 0.236247i | ||||
\(629\) | 5.43908 | − | 16.7398i | 0.216870 | − | 0.667458i | ||||
\(630\) | 0.219491 | − | 4.66165i | 0.00874474 | − | 0.185724i | ||||
\(631\) | 0.817056 | + | 0.593626i | 0.0325265 | + | 0.0236319i | 0.603930 | − | 0.797038i | \(-0.293601\pi\) |
−0.571403 | + | 0.820669i | \(0.693601\pi\) | |||||||
\(632\) | 0.496195 | − | 2.33441i | 0.0197376 | − | 0.0928579i | ||||
\(633\) | −5.35422 | + | 33.7395i | −0.212811 | + | 1.34102i | ||||
\(634\) | 13.8102 | + | 1.45151i | 0.548471 | + | 0.0576467i | ||||
\(635\) | −0.108995 | − | 1.03702i | −0.00432535 | − | 0.0411530i | ||||
\(636\) | 5.24698 | + | 19.6056i | 0.208056 | + | 0.777412i | ||||
\(637\) | −15.7921 | + | 28.1153i | −0.625705 | + | 1.11397i | ||||
\(638\) | −54.0484 | + | 26.2086i | −2.13980 | + | 1.03761i | ||||
\(639\) | 21.3323 | − | 15.4792i | 0.843894 | − | 0.612349i | ||||
\(640\) | 0.135886 | + | 0.639294i | 0.00537137 | + | 0.0252703i | ||||
\(641\) | −18.1975 | + | 40.8722i | −0.718758 | + | 1.61436i | 0.0684401 | + | 0.997655i | \(0.478198\pi\) |
−0.787198 | + | 0.616701i | \(0.788469\pi\) | |||||||
\(642\) | −26.1408 | − | 16.9873i | −1.03170 | − | 0.670433i | ||||
\(643\) | −4.19322 | − | 12.9054i | −0.165365 | − | 0.508940i | 0.833698 | − | 0.552220i | \(-0.186219\pi\) |
−0.999063 | + | 0.0432801i | \(0.986219\pi\) | |||||||
\(644\) | −1.10251 | − | 18.8987i | −0.0434451 | − | 0.744713i | ||||
\(645\) | 0.172865 | − | 3.27957i | 0.00680654 | − | 0.129133i | ||||
\(646\) | −60.2540 | + | 6.33295i | −2.37066 | + | 0.249167i | ||||
\(647\) | −6.74909 | − | 31.7520i | −0.265334 | − | 1.24830i | −0.885800 | − | 0.464066i | \(-0.846390\pi\) |
0.620466 | − | 0.784233i | \(-0.286943\pi\) | |||||||
\(648\) | 0.791052 | − | 2.42467i | 0.0310754 | − | 0.0952500i | ||||
\(649\) | 5.32602 | + | 21.5711i | 0.209065 | + | 0.846741i | ||||
\(650\) | 46.0793i | 1.80738i | ||||||||
\(651\) | 3.16456 | + | 1.80346i | 0.124029 | + | 0.0706831i | ||||
\(652\) | 4.55835 | − | 3.31183i | 0.178519 | − | 0.129701i | ||||
\(653\) | −6.87678 | − | 15.4455i | −0.269109 | − | 0.604429i | 0.727554 | − | 0.686050i | \(-0.240657\pi\) |
−0.996663 | + | 0.0816210i | \(0.973990\pi\) | |||||||
\(654\) | −1.78950 | + | 11.2765i | −0.0699750 | + | 0.440946i | ||||
\(655\) | 0.959341 | + | 0.863795i | 0.0374846 | + | 0.0337513i | ||||
\(656\) | 9.52127 | − | 4.23914i | 0.371743 | − | 0.165511i | ||||
\(657\) | −41.5145 | + | 8.79807i | −1.61964 | + | 0.343245i | ||||
\(658\) | −36.5253 | − | 1.69774i | −1.42390 | − | 0.0661847i | ||||
\(659\) | −14.6200 | −0.569515 | −0.284758 | − | 0.958600i | \(-0.591913\pi\) | ||||
−0.284758 | + | 0.958600i | \(0.591913\pi\) | |||||||
\(660\) | −3.48800 | + | 0.668651i | −0.135770 | + | 0.0260272i | ||||
\(661\) | 24.8734 | + | 43.0820i | 0.967463 | + | 1.67569i | 0.702847 | + | 0.711341i | \(0.251912\pi\) |
0.264616 | + | 0.964354i | \(0.414755\pi\) | |||||||
\(662\) | −14.0052 | + | 2.97689i | −0.544326 | + | 0.115700i | ||||
\(663\) | 23.6694 | + | 29.2473i | 0.919245 | + | 1.13587i | ||||
\(664\) | 0.554627 | + | 0.402960i | 0.0215237 | + | 0.0156379i | ||||
\(665\) | 2.65371 | + | 4.03395i | 0.102907 | + | 0.156430i | ||||
\(666\) | −22.6561 | − | 2.39504i | −0.877907 | − | 0.0928061i | ||||
\(667\) | 12.1101 | + | 27.1996i | 0.468903 | + | 1.05317i | ||||
\(668\) | −34.7256 | − | 15.4608i | −1.34357 | − | 0.598198i | ||||
\(669\) | −35.2245 | − | 35.2457i | −1.36186 | − | 1.36268i | ||||
\(670\) | 3.64576 | + | 2.10488i | 0.140848 | + | 0.0813185i | ||||
\(671\) | −7.65329 | + | 1.05779i | −0.295452 | + | 0.0408356i | ||||
\(672\) | −7.51232 | + | 36.3443i | −0.289794 | + | 1.40201i | ||||
\(673\) | −10.4569 | − | 3.39765i | −0.403084 | − | 0.130970i | 0.100457 | − | 0.994941i | \(-0.467970\pi\) |
−0.503541 | + | 0.863972i | \(0.667970\pi\) | |||||||
\(674\) | −44.1017 | + | 4.63528i | −1.69874 | + | 0.178544i | ||||
\(675\) | −1.31398 | − | 25.5130i | −0.0505750 | − | 0.981995i | ||||
\(676\) | −11.7689 | + | 13.0707i | −0.452650 | + | 0.502718i | ||||
\(677\) | 35.7347 | + | 7.59564i | 1.37340 | + | 0.291924i | 0.834760 | − | 0.550614i | \(-0.185607\pi\) |
0.538636 | + | 0.842539i | \(0.318940\pi\) | |||||||
\(678\) | 3.19844 | + | 0.168588i | 0.122835 | + | 0.00647460i | ||||
\(679\) | −9.91610 | − | 25.3827i | −0.380545 | − | 0.974100i | ||||
\(680\) | −0.367278 | − | 0.119336i | −0.0140845 | − | 0.00457633i | ||||
\(681\) | 21.8824 | − | 1.14020i | 0.838534 | − | 0.0436926i | ||||
\(682\) | 1.49009 | − | 5.15217i | 0.0570587 | − | 0.197287i | ||||
\(683\) | −36.0968 | + | 20.8405i | −1.38121 | + | 0.797440i | −0.992302 | − | 0.123839i | \(-0.960479\pi\) |
−0.388904 | + | 0.921278i | \(0.627146\pi\) | |||||||
\(684\) | 12.5011 | + | 38.5534i | 0.477991 | + | 1.47412i | ||||
\(685\) | −3.73441 | + | 2.71320i | −0.142684 | + | 0.103666i | ||||
\(686\) | 12.8773 | − | 35.4112i | 0.491656 | − | 1.35201i | ||||
\(687\) | 10.3435 | − | 12.7653i | 0.394628 | − | 0.487025i | ||||
\(688\) | −5.04998 | + | 23.7583i | −0.192529 | + | 0.905776i | ||||
\(689\) | −2.63751 | + | 25.0943i | −0.100481 | + | 0.956015i | ||||
\(690\) | 0.531824 | + | 3.36436i | 0.0202462 | + | 0.128079i | ||||
\(691\) | 16.8671 | + | 18.7328i | 0.641654 | + | 0.712629i | 0.972980 | − | 0.230887i | \(-0.0741629\pi\) |
−0.331327 | + | 0.943516i | \(0.607496\pi\) | |||||||
\(692\) | −5.21454 | −0.198227 | ||||||||
\(693\) | −25.6680 | − | 5.84413i | −0.975047 | − | 0.222000i | ||||
\(694\) | 17.6857 | 0.671340 | ||||||||
\(695\) | −1.50778 | − | 1.67455i | −0.0571932 | − | 0.0635195i | ||||
\(696\) | 0.682217 | + | 4.31576i | 0.0258594 | + | 0.163588i | ||||
\(697\) | −1.38768 | + | 13.2029i | −0.0525620 | + | 0.500094i | ||||
\(698\) | 13.1183 | − | 61.7165i | 0.496533 | − | 2.33600i | ||||
\(699\) | −19.3471 | + | 23.8770i | −0.731774 | + | 0.903109i | ||||
\(700\) | −4.51558 | − | 27.4586i | −0.170673 | − | 1.03784i | ||||
\(701\) | −24.6232 | + | 17.8898i | −0.930006 | + | 0.675689i | −0.945994 | − | 0.324184i | \(-0.894910\pi\) |
0.0159886 | + | 0.999872i | \(0.494910\pi\) | |||||||
\(702\) | 30.6824 | − | 37.8197i | 1.15803 | − | 1.42741i | ||||
\(703\) | 20.4139 | − | 11.7860i | 0.769925 | − | 0.444516i | ||||
\(704\) | 30.0750 | − | 0.981520i | 1.13350 | − | 0.0369924i | ||||
\(705\) | 3.39555 | − | 0.176928i | 0.127884 | − | 0.00666350i | ||||
\(706\) | −40.3582 | − | 13.1132i | −1.51890 | − | 0.493520i | ||||
\(707\) | −7.71014 | + | 9.63717i | −0.289970 | + | 0.362443i | ||||
\(708\) | 24.7887 | + | 1.30660i | 0.931617 | + | 0.0491052i | ||||
\(709\) | −25.0805 | − | 5.33102i | −0.941917 | − | 0.200211i | −0.288733 | − | 0.957410i | \(-0.593234\pi\) |
−0.653184 | + | 0.757199i | \(0.726567\pi\) | |||||||
\(710\) | −3.45645 | + | 3.83878i | −0.129718 | + | 0.144067i | ||||
\(711\) | −12.6457 | + | 21.8726i | −0.474251 | + | 0.820286i | ||||
\(712\) | 0.689326 | − | 0.0724511i | 0.0258336 | − | 0.00271522i | ||||
\(713\) | −2.52832 | − | 0.821501i | −0.0946863 | − | 0.0307655i | ||||
\(714\) | −32.8364 | − | 29.2341i | −1.22887 | − | 1.09406i | ||||
\(715\) | −4.34658 | − | 0.776653i | −0.162553 | − | 0.0290452i | ||||
\(716\) | −18.5278 | − | 10.6970i | −0.692417 | − | 0.399767i | ||||
\(717\) | −10.4433 | − | 10.4496i | −0.390011 | − | 0.390246i | ||||
\(718\) | 44.6729 | + | 19.8896i | 1.66718 | + | 0.742275i | ||||
\(719\) | 11.3944 | + | 25.5921i | 0.424938 | + | 0.954426i | 0.991464 | + | 0.130382i | \(0.0416203\pi\) |
−0.566526 | + | 0.824044i | \(0.691713\pi\) | |||||||
\(720\) | 0.337414 | − | 3.19179i | 0.0125747 | − | 0.118951i | ||||
\(721\) | 9.28904 | − | 18.5003i | 0.345942 | − | 0.688989i | ||||
\(722\) | −34.3687 | − | 24.9703i | −1.27907 | − | 0.929299i | ||||
\(723\) | 33.5441 | + | 41.4490i | 1.24752 | + | 1.54150i | ||||
\(724\) | 14.3641 | − | 3.05319i | 0.533839 | − | 0.113471i | ||||
\(725\) | 21.8830 | + | 37.9024i | 0.812713 | + | 1.40766i | ||||
\(726\) | 0.487909 | + | 38.7598i | 0.0181080 | + | 1.43851i | ||||
\(727\) | 28.2541 | 1.04789 | 0.523944 | − | 0.851753i | \(-0.324460\pi\) | ||||
0.523944 | + | 0.851753i | \(0.324460\pi\) | |||||||
\(728\) | 1.86398 | − | 2.90777i | 0.0690837 | − | 0.107769i | ||||
\(729\) | −15.9096 | + | 21.8148i | −0.589245 | + | 0.807954i | ||||
\(730\) | 7.59799 | − | 3.38285i | 0.281214 | − | 0.125205i | ||||
\(731\) | −22.9918 | − | 20.7019i | −0.850382 | − | 0.765687i | ||||
\(732\) | −1.35284 | + | 8.52491i | −0.0500025 | + | 0.315090i | ||||
\(733\) | 0.240610 | + | 0.540418i | 0.00888712 | + | 0.0199608i | 0.917934 | − | 0.396732i | \(-0.129856\pi\) |
−0.909047 | + | 0.416693i | \(0.863189\pi\) | |||||||
\(734\) | 40.9805 | − | 29.7741i | 1.51262 | − | 1.09898i | ||||
\(735\) | −0.867804 | + | 3.39469i | −0.0320094 | + | 0.125215i | ||||
\(736\) | − | 27.0871i | − | 0.998444i | ||||||
\(737\) | 15.3056 | − | 18.1561i | 0.563788 | − | 0.668790i | ||||
\(738\) | 17.0904 | − | 1.78587i | 0.629105 | − | 0.0657387i | ||||
\(739\) | −1.86814 | − | 8.78893i | −0.0687208 | − | 0.323306i | 0.930337 | − | 0.366706i | \(-0.119514\pi\) |
−0.999058 | + | 0.0433998i | \(0.986181\pi\) | |||||||
\(740\) | 2.29501 | − | 0.241216i | 0.0843664 | − | 0.00886726i | ||||
\(741\) | −2.65227 | + | 50.3185i | −0.0974336 | + | 1.84850i | ||||
\(742\) | −1.71711 | − | 29.4337i | −0.0630370 | − | 1.08055i | ||||
\(743\) | −8.65590 | − | 26.6401i | −0.317554 | − | 0.977331i | −0.974690 | − | 0.223559i | \(-0.928232\pi\) |
0.657136 | − | 0.753772i | \(-0.271768\pi\) | |||||||
\(744\) | −0.327126 | − | 0.212578i | −0.0119930 | − | 0.00779350i | ||||
\(745\) | 2.47440 | − | 5.55758i | 0.0906548 | − | 0.203614i | ||||
\(746\) | 9.18632 | + | 43.2182i | 0.336335 | + | 1.58233i | ||||
\(747\) | −4.26235 | − | 5.87406i | −0.155951 | − | 0.214921i | ||||
\(748\) | −15.7747 | + | 29.5053i | −0.576781 | + | 1.07882i | ||||
\(749\) | 16.6485 | + | 16.4528i | 0.608325 | + | 0.601174i | ||||
\(750\) | 2.61082 | + | 9.75544i | 0.0953335 | + | 0.356218i | ||||
\(751\) | −4.86431 | − | 46.2808i | −0.177501 | − | 1.68881i | −0.614158 | − | 0.789183i | \(-0.710504\pi\) |
0.436656 | − | 0.899628i | \(-0.356163\pi\) | |||||||
\(752\) | −25.0095 | − | 2.62860i | −0.912001 | − | 0.0958552i | ||||
\(753\) | 0.490214 | − | 3.08907i | 0.0178644 | − | 0.112572i | ||||
\(754\) | −17.3465 | + | 81.6089i | −0.631723 | + | 2.97202i | ||||
\(755\) | −1.21860 | − | 0.885362i | −0.0443492 | − | 0.0322216i | ||||
\(756\) | −14.5774 | + | 25.5434i | −0.530175 | + | 0.929006i | ||||
\(757\) | 2.55441 | − | 7.86166i | 0.0928415 | − | 0.285737i | −0.893844 | − | 0.448379i | \(-0.852002\pi\) |
0.986685 | + | 0.162642i | \(0.0520016\pi\) | |||||||
\(758\) | −18.5601 | + | 32.1471i | −0.674134 | + | 1.16763i | ||||
\(759\) | 19.2097 | + | 0.384952i | 0.697269 | + | 0.0139729i | ||||
\(760\) | −0.258590 | − | 0.447891i | −0.00938005 | − | 0.0162467i | ||||
\(761\) | 27.3421 | + | 30.3665i | 0.991151 | + | 1.10078i | 0.994908 | + | 0.100791i | \(0.0321374\pi\) |
−0.00375701 | + | 0.999993i | \(0.501196\pi\) | |||||||
\(762\) | −4.56016 | + | 11.8689i | −0.165197 | + | 0.429966i | ||||
\(763\) | 3.02469 | − | 8.02101i | 0.109501 | − | 0.290380i | ||||
\(764\) | −4.98335 | + | 1.61919i | −0.180291 | + | 0.0585802i | ||||
\(765\) | 3.30601 | + | 2.40500i | 0.119529 | + | 0.0869529i | ||||
\(766\) | −18.2204 | − | 1.91505i | −0.658331 | − | 0.0691934i | ||||
\(767\) | 28.1933 | + | 12.5525i | 1.01800 | + | 0.453243i | ||||
\(768\) | −6.07860 | + | 22.6584i | −0.219343 | + | 0.817613i | ||||
\(769\) | 35.7963i | 1.29085i | 0.763825 | + | 0.645424i | \(0.223319\pi\) | ||||
−0.763825 | + | 0.645424i | \(0.776681\pi\) | |||||||
\(770\) | 5.15886 | + | 0.0713186i | 0.185912 | + | 0.00257014i | ||||
\(771\) | 0.393956 | − | 0.255669i | 0.0141880 | − | 0.00920770i | ||||
\(772\) | 32.1082 | − | 28.9103i | 1.15560 | − | 1.04050i | ||||
\(773\) | 5.91548 | − | 13.2864i | 0.212765 | − | 0.477878i | −0.775362 | − | 0.631517i | \(-0.782433\pi\) |
0.988127 | + | 0.153639i | \(0.0490992\pi\) | |||||||
\(774\) | −20.0437 | + | 34.6685i | −0.720456 | + | 1.24613i | ||||
\(775\) | −3.82238 | − | 0.812471i | −0.137304 | − | 0.0291848i | ||||
\(776\) | 0.901963 | + | 2.77596i | 0.0323786 | + | 0.0996510i | ||||
\(777\) | 16.2973 | + | 5.19439i | 0.584661 | + | 0.186348i | ||||
\(778\) | 19.5060 | + | 26.8477i | 0.699324 | + | 0.962538i | ||||
\(779\) | −13.2123 | + | 11.8964i | −0.473381 | + | 0.426234i | ||||
\(780\) | −2.24083 | + | 4.39461i | −0.0802346 | + | 0.157352i | ||||
\(781\) | 17.8869 | + | 23.0023i | 0.640045 | + | 0.823086i | ||||
\(782\) | 27.7890 | + | 16.0440i | 0.993732 | + | 0.573732i | ||||
\(783\) | 7.27721 | − | 45.6795i | 0.260066 | − | 1.63245i | ||||
\(784\) | 10.2596 | − | 23.7967i | 0.366414 | − | 0.849884i | ||||
\(785\) | 0.542815 | − | 0.747121i | 0.0193739 | − | 0.0266659i | ||||
\(786\) | −5.63670 | − | 14.6973i | −0.201054 | − | 0.524236i | ||||
\(787\) | 4.93610 | + | 4.44448i | 0.175953 | + | 0.158429i | 0.752402 | − | 0.658705i | \(-0.228895\pi\) |
−0.576449 | + | 0.817133i | \(0.695562\pi\) | |||||||
\(788\) | −1.03705 | + | 9.86688i | −0.0369434 | + | 0.351493i | ||||
\(789\) | 24.5243 | − | 19.8472i | 0.873089 | − | 0.706578i | ||||
\(790\) | 1.53014 | − | 4.70929i | 0.0544400 | − | 0.167549i | ||||
\(791\) | −2.32643 | − | 0.608646i | −0.0827182 | − | 0.0216409i | ||||
\(792\) | 2.70815 | + | 0.785009i | 0.0962298 | + | 0.0278941i | ||||
\(793\) | −5.36562 | + | 9.29353i | −0.190539 | + | 0.330023i | ||||
\(794\) | 25.9550 | − | 5.51690i | 0.921108 | − | 0.195788i | ||||
\(795\) | 0.428080 | + | 2.70807i | 0.0151824 | + | 0.0960453i | ||||
\(796\) | 33.2981 | − | 14.8253i | 1.18022 | − | 0.525467i | ||||
\(797\) | −30.5479 | + | 9.92560i | −1.08206 | + | 0.351583i | −0.795174 | − | 0.606381i | \(-0.792620\pi\) |
−0.286887 | + | 0.957964i | \(0.592620\pi\) | |||||||
\(798\) | −6.48289 | − | 58.5200i | −0.229492 | − | 2.07159i | ||||
\(799\) | 18.8277 | − | 25.9141i | 0.666077 | − | 0.916776i | ||||
\(800\) | −4.16198 | − | 39.5986i | −0.147148 | − | 1.40002i | ||||
\(801\) | −7.17640 | − | 1.52991i | −0.253565 | − | 0.0540566i | ||||
\(802\) | 4.97859 | − | 2.87439i | 0.175800 | − | 0.101498i | ||||
\(803\) | −11.2459 | − | 45.5476i | −0.396860 | − | 1.60734i | ||||
\(804\) | −14.4426 | − | 22.2543i | −0.509350 | − | 0.784847i | ||||
\(805\) | 0.118740 | − | 2.55458i | 0.00418502 | − | 0.0900369i | ||||
\(806\) | −4.37870 | − | 6.02676i | −0.154233 | − | 0.212284i | ||||
\(807\) | −6.33741 | + | 9.75233i | −0.223087 | + | 0.343298i | ||||
\(808\) | 0.884537 | − | 0.982378i | 0.0311179 | − | 0.0345599i | ||||
\(809\) | −28.4434 | + | 31.5896i | −1.00002 | + | 1.11063i | −0.00615807 | + | 0.999981i | \(0.501960\pi\) |
−0.993859 | + | 0.110651i | \(0.964706\pi\) | |||||||
\(810\) | 2.15813 | − | 4.83158i | 0.0758291 | − | 0.169764i | ||||
\(811\) | −3.80163 | − | 5.23250i | −0.133493 | − | 0.183738i | 0.737037 | − | 0.675852i | \(-0.236224\pi\) |
−0.870531 | + | 0.492114i | \(0.836224\pi\) | |||||||
\(812\) | 2.33942 | − | 50.3305i | 0.0820975 | − | 1.76625i | ||||
\(813\) | −12.5045 | + | 8.11518i | −0.438553 | + | 0.284612i | ||||
\(814\) | 1.81429 | − | 25.1214i | 0.0635908 | − | 0.880505i | ||||
\(815\) | 0.659172 | − | 0.380573i | 0.0230898 | − | 0.0133309i | ||||
\(816\) | −21.3738 | − | 21.3867i | −0.748234 | − | 0.748684i | ||||
\(817\) | −4.33098 | − | 41.2066i | −0.151522 | − | 1.44164i | ||||
\(818\) | 20.6793 | − | 28.4626i | 0.723034 | − | 0.995170i | ||||
\(819\) | −28.2933 | + | 23.1613i | −0.988649 | + | 0.809322i | ||||
\(820\) | −1.65534 | + | 0.537853i | −0.0578071 | + | 0.0187827i | ||||
\(821\) | 43.6666 | − | 19.4416i | 1.52398 | − | 0.678518i | 0.537626 | − | 0.843183i | \(-0.319321\pi\) |
0.986350 | + | 0.164665i | \(0.0526544\pi\) | |||||||
\(822\) | 55.5957 | − | 8.78833i | 1.93912 | − | 0.306528i | ||||
\(823\) | 28.0390 | − | 5.95987i | 0.977377 | − | 0.207748i | 0.308584 | − | 0.951197i | \(-0.400145\pi\) |
0.668792 | + | 0.743449i | \(0.266811\pi\) | |||||||
\(824\) | −1.10865 | + | 1.92024i | −0.0386217 | + | 0.0668948i | ||||
\(825\) | 28.1418 | − | 2.38885i | 0.979773 | − | 0.0831690i | ||||
\(826\) | −34.8869 | − | 9.12719i | −1.21387 | − | 0.317576i | ||||
\(827\) | −2.85856 | + | 8.79774i | −0.0994018 | + | 0.305927i | −0.988376 | − | 0.152030i | \(-0.951419\pi\) |
0.888974 | + | 0.457958i | \(0.151419\pi\) | |||||||
\(828\) | 6.64550 | − | 20.4109i | 0.230947 | − | 0.709329i | ||||
\(829\) | −3.90495 | + | 37.1532i | −0.135625 | + | 1.29038i | 0.689025 | + | 0.724738i | \(0.258039\pi\) |
−0.824649 | + | 0.565644i | \(0.808627\pi\) | |||||||
\(830\) | 1.05704 | + | 0.951767i | 0.0366905 | + | 0.0330363i | ||||
\(831\) | 13.6285 | − | 5.22678i | 0.472767 | − | 0.181315i | ||||
\(832\) | 24.5668 | − | 33.8133i | 0.851701 | − | 1.17227i | ||||
\(833\) | 19.7163 | + | 26.4732i | 0.683130 | + | 0.917241i | ||||
\(834\) | 7.10346 | + | 26.5424i | 0.245973 | + | 0.919090i | ||||
\(835\) | −4.44701 | − | 2.56748i | −0.153895 | − | 0.0888515i | ||||
\(836\) | −42.1397 | + | 15.2288i | −1.45743 | + | 0.526698i | ||||
\(837\) | 2.59623 | + | 3.21201i | 0.0897389 | + | 0.111023i | ||||
\(838\) | −17.7416 | + | 15.9746i | −0.612872 | + | 0.551833i | ||||
\(839\) | −15.3523 | − | 21.1306i | −0.530021 | − | 0.729511i | 0.457113 | − | 0.889409i | \(-0.348884\pi\) |
−0.987134 | + | 0.159898i | \(0.948884\pi\) | |||||||
\(840\) | 0.113967 | − | 0.357570i | 0.00393225 | − | 0.0123373i | ||||
\(841\) | 15.5261 | + | 47.7843i | 0.535382 | + | 1.64774i | ||||
\(842\) | 12.8791 | + | 2.73754i | 0.443844 | + | 0.0943420i | ||||
\(843\) | −46.5389 | + | 23.6951i | −1.60289 | + | 0.816104i | ||||
\(844\) | −17.1617 | + | 38.5459i | −0.590731 | + | 1.32680i | ||||
\(845\) | −1.76570 | + | 1.58984i | −0.0607418 | + | 0.0546922i | ||||
\(846\) | −37.8659 | − | 16.8863i | −1.30186 | − | 0.580563i | ||||
\(847\) | 5.51467 | − | 28.5760i | 0.189486 | − | 0.981883i | ||||
\(848\) | − | 20.2773i | − | 0.696326i | ||||||
\(849\) | −46.4547 | − | 12.4625i | −1.59432 | − | 0.427711i | ||||
\(850\) | 43.0899 | + | 19.1849i | 1.47797 | + | 0.658035i | ||||
\(851\) | −12.4160 | − | 1.30497i | −0.425614 | − | 0.0447338i | ||||
\(852\) | 30.3949 | − | 11.6570i | 1.04131 | − | 0.399363i | ||||
\(853\) | 0.590481 | − | 0.191859i | 0.0202177 | − | 0.00656913i | −0.298891 | − | 0.954287i | \(-0.596617\pi\) |
0.319108 | + | 0.947718i | \(0.396617\pi\) | |||||||
\(854\) | 4.42439 | − | 11.7328i | 0.151399 | − | 0.401488i | ||||
\(855\) | 1.13511 | + | 5.35610i | 0.0388198 | + | 0.183175i | ||||
\(856\) | −1.67755 | − | 1.86310i | −0.0573374 | − | 0.0636796i | ||||
\(857\) | −16.7086 | − | 28.9401i | −0.570753 | − | 0.988574i | −0.996489 | − | 0.0837259i | \(-0.973318\pi\) |
0.425736 | − | 0.904848i | \(-0.360015\pi\) | |||||||
\(858\) | 42.9150 | + | 32.5130i | 1.46510 | + | 1.10997i | ||||
\(859\) | −7.50995 | + | 13.0076i | −0.256236 | + | 0.443814i | −0.965231 | − | 0.261400i | \(-0.915816\pi\) |
0.708994 | + | 0.705214i | \(0.249149\pi\) | |||||||
\(860\) | 1.25346 | − | 3.85775i | 0.0427426 | − | 0.131548i | ||||
\(861\) | −12.8380 | − | 1.27654i | −0.437519 | − | 0.0435044i | ||||
\(862\) | −18.4336 | − | 13.3928i | −0.627852 | − | 0.456161i | ||||
\(863\) | 2.59558 | − | 12.2112i | 0.0883546 | − | 0.415676i | −0.911635 | − | 0.411002i | \(-0.865179\pi\) |
0.999989 | − | 0.00467373i | \(-0.00148770\pi\) | |||||||
\(864\) | −22.9512 | + | 35.2720i | −0.780815 | + | 1.19998i | ||||
\(865\) | −0.700565 | − | 0.0736323i | −0.0238199 | − | 0.00250357i | ||||
\(866\) | −3.83333 | − | 36.4717i | −0.130262 | − | 1.23936i | ||||
\(867\) | 8.76066 | − | 2.34459i | 0.297528 | − | 0.0796263i | ||||
\(868\) | 3.19985 | + | 3.16224i | 0.108610 | + | 0.107333i | ||||
\(869\) | −24.6321 | − | 13.1693i | −0.835588 | − | 0.446739i | ||||
\(870\) | 0.471727 | + | 9.05323i | 0.0159930 | + | 0.306933i | ||||
\(871\) | −6.85764 | − | 32.2627i | −0.232362 | − | 1.09318i | ||||
\(872\) | −0.373455 | + | 0.838794i | −0.0126468 | + | 0.0284052i | ||||
\(873\) | 0.0186020 | − | 30.8996i | 0.000629582 | − | 1.04579i | ||||
\(874\) | 13.2794 | + | 40.8697i | 0.449181 | + | 1.38244i | ||||
\(875\) | −0.441579 | − | 7.56930i | −0.0149281 | − | 0.255889i | ||||
\(876\) | −52.3415 | − | 2.75890i | −1.76846 | − | 0.0932146i | ||||
\(877\) | 29.5860 | − | 3.10961i | 0.999047 | − | 0.105004i | 0.409137 | − | 0.912473i | \(-0.365830\pi\) |
0.589910 | + | 0.807469i | \(0.299163\pi\) | |||||||
\(878\) | 4.60688 | + | 21.6737i | 0.155475 | + | 0.731451i | ||||
\(879\) | 8.75212 | − | 17.1642i | 0.295202 | − | 0.578935i | ||||
\(880\) | 3.53910 | + | 0.255597i | 0.119303 | + | 0.00861617i | ||||
\(881\) | 2.52582i | 0.0850972i | 0.999094 | + | 0.0425486i | \(0.0135477\pi\) | ||||
−0.999094 | + | 0.0425486i | \(0.986452\pi\) | |||||||
\(882\) | 28.2305 | − | 32.0697i | 0.950570 | − | 1.07984i | ||||
\(883\) | −4.78367 | + | 3.47554i | −0.160983 | + | 0.116961i | −0.665360 | − | 0.746522i | \(-0.731722\pi\) |
0.504377 | + | 0.863483i | \(0.331722\pi\) | |||||||
\(884\) | 18.9016 | + | 42.4538i | 0.635731 | + | 1.42787i | ||||
\(885\) | 3.31187 | + | 0.525571i | 0.111327 | + | 0.0176669i | ||||
\(886\) | −57.1392 | − | 51.4483i | −1.91963 | − | 1.72844i | ||||
\(887\) | −36.9949 | + | 16.4712i | −1.24217 | + | 0.553048i | −0.919360 | − | 0.393416i | \(-0.871293\pi\) |
−0.322807 | + | 0.946465i | \(0.604626\pi\) | |||||||
\(888\) | −1.71022 | − | 0.657081i | −0.0573911 | − | 0.0220502i | ||||
\(889\) | 5.15187 | − | 8.03681i | 0.172788 | − | 0.269546i | ||||
\(890\) | 1.43809 | 0.0482049 | ||||||||
\(891\) | −24.6881 | − | 16.7779i | −0.827083 | − | 0.562080i | ||||
\(892\) | −30.7729 | − | 53.3002i | −1.03035 | − | 1.78462i | ||||
\(893\) | 41.9600 | − | 8.91888i | 1.40414 | − | 0.298459i | ||||
\(894\) | −57.6634 | + | 46.6662i | −1.92855 | + | 1.56075i | ||||
\(895\) | −2.33813 | − | 1.69875i | −0.0781551 | − | 0.0567830i | ||||
\(896\) | −2.68490 | + | 5.34734i | −0.0896964 | + | 0.178642i | ||||
\(897\) | 16.8010 | − | 20.7347i | 0.560968 | − | 0.692311i | ||||
\(898\) | −18.2062 | − | 40.8919i | −0.607550 | − | 1.36458i | ||||
\(899\) | −6.46378 | − | 2.87786i | −0.215579 | − | 0.0959820i | ||||
\(900\) | 6.57888 | − | 30.8598i | 0.219296 | − | 1.02866i | ||||
\(901\) | 22.3681 | + | 12.9143i | 0.745191 | + | 0.430236i | ||||
\(902\) | 2.60092 | + | 18.8181i | 0.0866013 | + | 0.626574i | ||||
\(903\) | 19.9926 | − | 22.4562i | 0.665313 | − | 0.747295i | ||||
\(904\) | 0.244961 | + | 0.0795927i | 0.00814728 | + | 0.00264721i | ||||
\(905\) | 1.97291 | − | 0.207361i | 0.0655818 | − | 0.00689292i | ||||
\(906\) | 8.33352 | + | 16.3676i | 0.276863 | + | 0.543778i | ||||
\(907\) | −6.33272 | + | 7.03319i | −0.210274 | + | 0.233533i | −0.839051 | − | 0.544052i | \(-0.816889\pi\) |
0.628777 | + | 0.777586i | \(0.283556\pi\) | |||||||
\(908\) | 26.4726 | + | 5.62692i | 0.878523 | + | 0.186736i | ||||
\(909\) | −12.1237 | + | 6.98987i | −0.402117 | + | 0.231839i | ||||
\(910\) | 4.47682 | − | 5.59573i | 0.148405 | − | 0.185497i | ||||
\(911\) | 41.6061 | + | 13.5186i | 1.37847 | + | 0.447892i | 0.902166 | − | 0.431388i | \(-0.141976\pi\) |
0.476304 | + | 0.879280i | \(0.341976\pi\) | |||||||
\(912\) | −2.10707 | − | 40.4382i | −0.0697721 | − | 1.33904i | ||||
\(913\) | 6.33390 | − | 4.92534i | 0.209621 | − | 0.163005i | ||||
\(914\) | 65.8896 | − | 38.0414i | 2.17944 | − | 1.25830i | ||||
\(915\) | −0.302129 | + | 1.12620i | −0.00998808 | + | 0.0372312i | ||||
\(916\) | 16.4172 | − | 11.9278i | 0.542440 | − | 0.394106i | ||||
\(917\) | 1.91780 | + | 11.6618i | 0.0633313 | + | 0.385108i | ||||
\(918\) | −22.5917 | − | 44.4379i | −0.745637 | − | 1.46667i | ||||
\(919\) | −2.92882 | + | 13.7790i | −0.0966129 | + | 0.454528i | 0.903073 | + | 0.429486i | \(0.141305\pi\) |
−0.999686 | + | 0.0250420i | \(0.992028\pi\) | |||||||
\(920\) | −0.0286317 | + | 0.272412i | −0.000943958 | + | 0.00898117i | ||||
\(921\) | 22.0433 | − | 3.48451i | 0.726351 | − | 0.114819i | ||||
\(922\) | −39.2416 | − | 43.5822i | −1.29235 | − | 1.43530i | ||||
\(923\) | 40.4723 | 1.33216 | ||||||||
\(924\) | −28.7591 | − | 15.1689i | −0.946106 | − | 0.499021i | ||||
\(925\) | −18.3514 | −0.603390 | ||||||||
\(926\) | −2.51889 | − | 2.79751i | −0.0827758 | − | 0.0919319i | ||||
\(927\) | 17.4534 | − | 15.6961i | 0.573246 | − | 0.515529i | ||||
\(928\) | 7.53577 | − | 71.6980i | 0.247374 | − | 2.35360i | ||||
\(929\) | 1.44465 | − | 6.79655i | 0.0473975 | − | 0.222987i | −0.948074 | − | 0.318050i | \(-0.896972\pi\) |
0.995471 | + | 0.0950629i | \(0.0303052\pi\) | |||||||
\(930\) | −0.628900 | − | 0.509587i | −0.0206224 | − | 0.0167100i | ||||
\(931\) | −4.10061 | + | 44.0152i | −0.134392 | + | 1.44254i | ||||
\(932\) | −30.7078 | + | 22.3105i | −1.00587 | + | 0.730805i | ||||
\(933\) | −28.5947 | − | 7.67116i | −0.936149 | − | 0.251142i | ||||
\(934\) | 17.7730 | − | 10.2613i | 0.581551 | − | 0.335758i | ||||
\(935\) | −2.53594 | + | 3.74124i | −0.0829341 | + | 0.122352i | ||||
\(936\) | 3.16980 | − | 2.30008i | 0.103608 | − | 0.0751804i | ||||
\(937\) | 23.8748 | + | 7.75738i | 0.779954 | + | 0.253423i | 0.671821 | − | 0.740714i | \(-0.265513\pi\) |
0.108134 | + | 0.994136i | \(0.465513\pi\) | |||||||
\(938\) | 14.0242 | + | 35.8985i | 0.457907 | + | 1.17213i | ||||
\(939\) | 1.81833 | − | 34.4972i | 0.0593390 | − | 1.12577i | ||||
\(940\) | 4.10782 | + | 0.873144i | 0.133982 | + | 0.0284788i | ||||
\(941\) | 25.7236 | − | 28.5690i | 0.838567 | − | 0.931323i | −0.159875 | − | 0.987137i | \(-0.551109\pi\) |
0.998441 | + | 0.0558147i | \(0.0177756\pi\) | |||||||
\(942\) | −10.0350 | + | 5.10928i | −0.326958 | + | 0.166469i | ||||
\(943\) | 9.36464 | − | 0.984263i | 0.304955 | − | 0.0320520i | ||||
\(944\) | −23.5870 | − | 7.66388i | −0.767691 | − | 0.249438i | ||||
\(945\) | −2.31914 | + | 3.22588i | −0.0754416 | + | 0.104938i | ||||
\(946\) | −39.0424 | − | 20.8737i | −1.26938 | − | 0.678662i | ||||
\(947\) | 35.5925 | + | 20.5494i | 1.15660 | + | 0.667765i | 0.950487 | − | 0.310763i | \(-0.100585\pi\) |
0.206115 | + | 0.978528i | \(0.433918\pi\) | |||||||
\(948\) | −22.0721 | + | 22.0589i | −0.716870 | + | 0.716439i | ||||
\(949\) | −59.5303 | − | 26.5046i | −1.93244 | − | 0.860376i | ||||
\(950\) | 25.6928 | + | 57.7070i | 0.833584 | + | 1.87226i | ||||
\(951\) | −9.18499 | − | 7.44244i | −0.297844 | − | 0.241338i | ||||
\(952\) | −1.94307 | − | 2.95369i | −0.0629752 | − | 0.0957295i | ||||
\(953\) | −32.6862 | − | 23.7479i | −1.05881 | − | 0.769271i | −0.0849431 | − | 0.996386i | \(-0.527071\pi\) |
−0.973868 | + | 0.227114i | \(0.927071\pi\) | |||||||
\(954\) | 10.3500 | − | 31.7890i | 0.335094 | − | 1.02921i | ||||
\(955\) | −0.692369 | + | 0.147167i | −0.0224045 | + | 0.00476223i | ||||
\(956\) | −9.12349 | − | 15.8024i | −0.295075 | − | 0.511085i | ||||
\(957\) | 50.7400 | + | 6.36319i | 1.64019 | + | 0.205693i | ||||
\(958\) | −27.9462 | −0.902901 | ||||||||
\(959\) | −42.2141 | − | 1.96216i | −1.36316 | − | 0.0633614i | ||||
\(960\) | 1.62876 | − | 4.23926i | 0.0525681 | − | 0.136822i | ||||
\(961\) | −27.7428 | + | 12.3519i | −0.894928 | + | 0.398448i | ||||
\(962\) | −25.9980 | − | 23.4087i | −0.838209 | − | 0.754727i | ||||
\(963\) | 10.7804 | + | 24.2526i | 0.347395 | + | 0.781528i | ||||
\(964\) | 26.7872 | + | 60.1650i | 0.862757 | + | 1.93778i | ||||
\(965\) | 4.72191 | − | 3.43067i | 0.152004 | − | 0.110437i | ||||
\(966\) | −15.4399 | + | 27.0927i | −0.496772 | + | 0.871693i | ||||
\(967\) | 45.7497i | 1.47121i | 0.677410 | + | 0.735606i | \(0.263103\pi\) | ||||
−0.677410 | + | 0.735606i | \(0.736897\pi\) | |||||||
\(968\) | −0.767922 | + | 3.02115i | −0.0246819 | + | 0.0971033i | ||||
\(969\) | 45.9498 | + | 23.4300i | 1.47612 | + | 0.752681i | ||||
\(970\) | 1.25910 | + | 5.92361i | 0.0404273 | + | 0.190196i | ||||
\(971\) | −9.86714 | + | 1.03708i | −0.316651 | + | 0.0332814i | −0.261521 | − | 0.965198i | \(-0.584224\pi\) |
−0.0551303 | + | 0.998479i | \(0.517557\pi\) | |||||||
\(972\) | −25.9480 | + | 20.9477i | −0.832281 | + | 0.671897i | ||||
\(973\) | −1.20144 | − | 20.5944i | −0.0385164 | − | 0.660227i | ||||
\(974\) | −4.91210 | − | 15.1179i | −0.157394 | − | 0.484409i | ||||
\(975\) | 21.3754 | − | 32.8935i | 0.684560 | − | 1.05344i | ||||
\(976\) | 3.50763 | − | 7.87826i | 0.112276 | − | 0.252177i | ||||
\(977\) | 7.35222 | + | 34.5895i | 0.235219 | + | 1.10662i | 0.924221 | + | 0.381857i | \(0.124715\pi\) |
−0.689003 | + | 0.724759i | \(0.741951\pi\) | |||||||
\(978\) | −9.26863 | + | 0.482951i | −0.296378 | + | 0.0154431i | ||||
\(979\) | 1.42688 | − | 7.98561i | 0.0456033 | − | 0.255221i | ||||
\(980\) | −2.11937 | + | 3.77320i | −0.0677008 | + | 0.120530i | ||||
\(981\) | 6.50839 | − | 7.21956i | 0.207797 | − | 0.230503i | ||||
\(982\) | −1.69107 | − | 16.0895i | −0.0539642 | − | 0.513435i | ||||
\(983\) | 42.4399 | + | 4.46062i | 1.35362 | + | 0.142272i | 0.753401 | − | 0.657561i | \(-0.228412\pi\) |
0.600223 | + | 0.799833i | \(0.295079\pi\) | |||||||
\(984\) | 1.36477 | + | 0.216579i | 0.0435073 | + | 0.00690430i | ||||
\(985\) | −0.278652 | + | 1.31095i | −0.00887859 | + | 0.0417705i | ||||
\(986\) | 69.0924 | + | 50.1985i | 2.20035 | + | 1.59865i | ||||
\(987\) | 25.2859 | + | 18.1554i | 0.804859 | + | 0.577892i | ||||
\(988\) | −19.2319 | + | 59.1896i | −0.611847 | + | 1.88307i | ||||
\(989\) | −10.9722 | + | 19.0044i | −0.348895 | + | 0.604303i | ||||
\(990\) | 5.41783 | + | 2.20714i | 0.172190 | + | 0.0701476i | ||||
\(991\) | 28.8041 | + | 49.8902i | 0.914993 | + | 1.58481i | 0.806912 | + | 0.590672i | \(0.201137\pi\) |
0.108081 | + | 0.994142i | \(0.465529\pi\) | |||||||
\(992\) | 4.30722 | + | 4.78365i | 0.136754 | + | 0.151881i | ||||
\(993\) | 11.3784 | + | 4.37171i | 0.361084 | + | 0.138732i | ||||
\(994\) | −46.6645 | + | 7.67401i | −1.48011 | + | 0.243405i | ||||
\(995\) | 4.68288 | − | 1.52156i | 0.148457 | − | 0.0482367i | ||||
\(996\) | −3.20987 | − | 8.36954i | −0.101709 | − | 0.265199i | ||||
\(997\) | −33.6133 | − | 3.53290i | −1.06454 | − | 0.111888i | −0.443975 | − | 0.896039i | \(-0.646432\pi\) |
−0.620570 | + | 0.784151i | \(0.713099\pi\) | |||||||
\(998\) | −44.1622 | − | 19.6623i | −1.39793 | − | 0.622399i | ||||
\(999\) | 15.0620 | + | 12.2195i | 0.476539 | + | 0.386607i |
(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 | 231.2.be.a.2.5 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.24 | yes | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.24 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.5 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.5 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.24 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.24 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.5 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.5 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.2.24 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.116.5 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.116.24 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.149.5 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.149.24 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.200.5 | yes | 224 | 21.11 | odd | 6 | inner | |
231.2.be.a.200.24 | yes | 224 | 7.4 | even | 3 | inner |