Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(29,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([3, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.x (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: | \(2.73088374913\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 281.7 | ||
Character | \(\chi\) | \(=\) | 342.281 |
Dual form | 342.2.x.b.185.7 |
$q$-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 \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | 1.40898 | − | 1.00736i | 0.813477 | − | 0.581597i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.759805 | − | 2.08755i | 0.339795 | − | 0.933580i | −0.645657 | − | 0.763628i | \(-0.723416\pi\) |
0.985452 | − | 0.169952i | \(-0.0543614\pi\) | |||||||
\(6\) | −0.431828 | + | 1.67736i | −0.176293 | + | 0.684778i | ||||
\(7\) | 1.20984 | + | 2.09551i | 0.457278 | + | 0.792028i | 0.998816 | − | 0.0486480i | \(-0.0154913\pi\) |
−0.541538 | + | 0.840676i | \(0.682158\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.970470 | − | 2.83869i | 0.323490 | − | 0.946232i | ||||
\(10\) | 0.759805 | + | 2.08755i | 0.240272 | + | 0.660141i | ||||
\(11\) | 2.72097i | 0.820404i | 0.911995 | + | 0.410202i | \(0.134542\pi\) | ||||
−0.911995 | + | 0.410202i | \(0.865458\pi\) | |||||||
\(12\) | −0.747384 | − | 1.56250i | −0.215751 | − | 0.451056i | ||||
\(13\) | −0.241975 | − | 0.664821i | −0.0671118 | − | 0.184388i | 0.901603 | − | 0.432564i | \(-0.142391\pi\) |
−0.968715 | + | 0.248176i | \(0.920169\pi\) | |||||||
\(14\) | −2.27376 | − | 0.827581i | −0.607688 | − | 0.221180i | ||||
\(15\) | −1.03235 | − | 3.70672i | −0.266552 | − | 0.957070i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1.62169 | − | 4.45555i | 0.393317 | − | 1.08063i | −0.572160 | − | 0.820142i | \(-0.693894\pi\) |
0.965477 | − | 0.260488i | \(-0.0838833\pi\) | |||||||
\(18\) | 1.08125 | + | 2.79837i | 0.254854 | + | 0.659583i | ||||
\(19\) | 4.13839 | − | 1.36884i | 0.949412 | − | 0.314033i | ||||
\(20\) | −1.92390 | − | 1.11076i | −0.430196 | − | 0.248374i | ||||
\(21\) | 3.81557 | + | 1.73380i | 0.832626 | + | 0.378345i | ||||
\(22\) | −1.74901 | − | 2.08439i | −0.372890 | − | 0.444393i | ||||
\(23\) | −7.80979 | − | 1.37708i | −1.62845 | − | 0.287140i | −0.716547 | − | 0.697539i | \(-0.754278\pi\) |
−0.911906 | + | 0.410399i | \(0.865390\pi\) | |||||||
\(24\) | 1.57689 | + | 0.716538i | 0.321881 | + | 0.146263i | ||||
\(25\) | 0.0496682 | + | 0.0416766i | 0.00993365 | + | 0.00833532i | ||||
\(26\) | 0.612702 | + | 0.353744i | 0.120161 | + | 0.0693749i | ||||
\(27\) | −1.49220 | − | 4.97728i | −0.287174 | − | 0.957879i | ||||
\(28\) | 2.27376 | − | 0.827581i | 0.429700 | − | 0.156398i | ||||
\(29\) | 1.62287 | − | 9.20375i | 0.301359 | − | 1.70909i | −0.338806 | − | 0.940856i | \(-0.610023\pi\) |
0.640165 | − | 0.768237i | \(-0.278866\pi\) | |||||||
\(30\) | 3.17346 | + | 2.17593i | 0.579391 | + | 0.397268i | ||||
\(31\) | 7.01560i | 1.26004i | 0.776580 | + | 0.630019i | \(0.216953\pi\) | ||||
−0.776580 | + | 0.630019i | \(0.783047\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 2.74099 | + | 3.83381i | 0.477145 | + | 0.667380i | ||||
\(34\) | 1.62169 | + | 4.45555i | 0.278117 | + | 0.764120i | ||||
\(35\) | 5.29372 | − | 0.933426i | 0.894802 | − | 0.157778i | ||||
\(36\) | −2.62705 | − | 1.44866i | −0.437841 | − | 0.241443i | ||||
\(37\) | 8.40981i | 1.38256i | 0.722585 | + | 0.691282i | \(0.242954\pi\) | ||||
−0.722585 | + | 0.691282i | \(0.757046\pi\) | |||||||
\(38\) | −2.29032 | + | 3.70870i | −0.371539 | + | 0.601630i | ||||
\(39\) | −1.01065 | − | 0.692967i | −0.161833 | − | 0.110963i | ||||
\(40\) | 2.18777 | − | 0.385763i | 0.345917 | − | 0.0609945i | ||||
\(41\) | −7.64614 | + | 6.41588i | −1.19413 | + | 1.00199i | −0.194349 | + | 0.980933i | \(0.562259\pi\) |
−0.999778 | + | 0.0210590i | \(0.993296\pi\) | |||||||
\(42\) | −4.03736 | + | 1.12444i | −0.622978 | + | 0.173504i | ||||
\(43\) | 0.243482 | + | 1.38085i | 0.0371306 | + | 0.210578i | 0.997728 | − | 0.0673638i | \(-0.0214588\pi\) |
−0.960598 | + | 0.277942i | \(0.910348\pi\) | |||||||
\(44\) | 2.67963 | + | 0.472492i | 0.403970 | + | 0.0712308i | ||||
\(45\) | −5.18854 | − | 4.18276i | −0.773463 | − | 0.623529i | ||||
\(46\) | 6.86781 | − | 3.96513i | 1.01260 | − | 0.584627i | ||||
\(47\) | 5.95323 | + | 1.04972i | 0.868368 | + | 0.153117i | 0.590045 | − | 0.807371i | \(-0.299110\pi\) |
0.278324 | + | 0.960487i | \(0.410221\pi\) | |||||||
\(48\) | −1.66855 | + | 0.464704i | −0.240834 | + | 0.0670742i | ||||
\(49\) | 0.572561 | − | 0.991705i | 0.0817945 | − | 0.141672i | ||||
\(50\) | −0.0648373 | −0.00916938 | ||||||||
\(51\) | −2.20339 | − | 7.91141i | −0.308536 | − | 1.10782i | ||||
\(52\) | −0.696739 | + | 0.122854i | −0.0966203 | + | 0.0170368i | ||||
\(53\) | 1.98365 | + | 1.66448i | 0.272475 | + | 0.228634i | 0.768778 | − | 0.639516i | \(-0.220865\pi\) |
−0.496303 | + | 0.868149i | \(0.665309\pi\) | |||||||
\(54\) | 4.34243 | + | 2.85365i | 0.590929 | + | 0.388333i | ||||
\(55\) | 5.68016 | + | 2.06741i | 0.765913 | + | 0.278769i | ||||
\(56\) | −1.20984 | + | 2.09551i | −0.161672 | + | 0.280024i | ||||
\(57\) | 4.45202 | − | 6.09750i | 0.589684 | − | 0.807634i | ||||
\(58\) | 4.67287 | + | 8.09364i | 0.613577 | + | 1.06275i | ||||
\(59\) | 0.719002 | + | 4.07766i | 0.0936061 | + | 0.530867i | 0.995166 | + | 0.0982115i | \(0.0313122\pi\) |
−0.901559 | + | 0.432655i | \(0.857577\pi\) | |||||||
\(60\) | −3.82967 | + | 0.373002i | −0.494408 | + | 0.0481543i | ||||
\(61\) | −6.34757 | + | 2.31033i | −0.812723 | + | 0.295807i | −0.714748 | − | 0.699382i | \(-0.753459\pi\) |
−0.0979747 | + | 0.995189i | \(0.531236\pi\) | |||||||
\(62\) | −4.50954 | − | 5.37426i | −0.572712 | − | 0.682532i | ||||
\(63\) | 7.12263 | − | 1.40075i | 0.897367 | − | 0.176477i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −1.57170 | −0.194945 | ||||||||
\(66\) | −4.56404 | − | 1.17499i | −0.561795 | − | 0.144632i | ||||
\(67\) | −0.352442 | + | 0.420023i | −0.0430576 | + | 0.0513140i | −0.787143 | − | 0.616770i | \(-0.788441\pi\) |
0.744086 | + | 0.668084i | \(0.232885\pi\) | |||||||
\(68\) | −4.10626 | − | 2.37075i | −0.497957 | − | 0.287495i | ||||
\(69\) | −12.3911 | + | 5.92695i | −1.49171 | + | 0.713521i | ||||
\(70\) | −3.45523 | + | 4.11778i | −0.412979 | + | 0.492169i | ||||
\(71\) | −3.99788 | + | 3.35462i | −0.474461 | + | 0.398120i | −0.848419 | − | 0.529326i | \(-0.822445\pi\) |
0.373958 | + | 0.927446i | \(0.378000\pi\) | |||||||
\(72\) | 2.94362 | − | 0.578896i | 0.346909 | − | 0.0682235i | ||||
\(73\) | −0.0490632 | − | 0.278251i | −0.00574241 | − | 0.0325668i | 0.981802 | − | 0.189908i | \(-0.0608189\pi\) |
−0.987544 | + | 0.157341i | \(0.949708\pi\) | |||||||
\(74\) | −5.40572 | − | 6.44229i | −0.628403 | − | 0.748901i | ||||
\(75\) | 0.111965 | + | 0.00868808i | 0.0129286 | + | 0.00100321i | ||||
\(76\) | −0.629420 | − | 4.31322i | −0.0721995 | − | 0.494760i | ||||
\(77\) | −5.70182 | + | 3.29195i | −0.649783 | + | 0.375152i | ||||
\(78\) | 1.21963 | − | 0.118790i | 0.138096 | − | 0.0134503i | ||||
\(79\) | −0.813728 | + | 2.23570i | −0.0915515 | + | 0.251536i | −0.977014 | − | 0.213175i | \(-0.931620\pi\) |
0.885462 | + | 0.464711i | \(0.153842\pi\) | |||||||
\(80\) | −1.42797 | + | 1.70179i | −0.159652 | + | 0.190265i | ||||
\(81\) | −7.11638 | − | 5.50974i | −0.790709 | − | 0.612193i | ||||
\(82\) | 1.73324 | − | 9.82969i | 0.191404 | − | 1.08551i | ||||
\(83\) | −3.28816 | + | 1.89842i | −0.360922 | + | 0.208378i | −0.669485 | − | 0.742825i | \(-0.733485\pi\) |
0.308563 | + | 0.951204i | \(0.400152\pi\) | |||||||
\(84\) | 2.37002 | − | 3.45653i | 0.258591 | − | 0.377139i | ||||
\(85\) | −8.06901 | − | 6.77070i | −0.875207 | − | 0.734386i | ||||
\(86\) | −1.07411 | − | 0.901288i | −0.115825 | − | 0.0971884i | ||||
\(87\) | −6.98485 | − | 14.6027i | −0.748855 | − | 1.56558i | ||||
\(88\) | −2.35643 | + | 1.36049i | −0.251196 | + | 0.145028i | ||||
\(89\) | −3.18023 | + | 18.0360i | −0.337103 | + | 1.91181i | 0.0682906 | + | 0.997665i | \(0.478245\pi\) |
−0.405394 | + | 0.914142i | \(0.632866\pi\) | |||||||
\(90\) | 6.66328 | − | 0.130953i | 0.702372 | − | 0.0138037i | ||||
\(91\) | 1.10039 | − | 1.31139i | 0.115352 | − | 0.137471i | ||||
\(92\) | −2.71231 | + | 7.45201i | −0.282778 | + | 0.776926i | ||||
\(93\) | 7.06720 | + | 9.88486i | 0.732835 | + | 1.02501i | ||||
\(94\) | −5.23519 | + | 3.02254i | −0.539968 | + | 0.311751i | ||||
\(95\) | 0.286852 | − | 9.67914i | 0.0294304 | − | 0.993059i | ||||
\(96\) | 0.979476 | − | 1.42851i | 0.0999673 | − | 0.145796i | ||||
\(97\) | −7.49987 | − | 8.93800i | −0.761497 | − | 0.907516i | 0.236445 | − | 0.971645i | \(-0.424018\pi\) |
−0.997942 | + | 0.0641285i | \(0.979573\pi\) | |||||||
\(98\) | 0.198848 | + | 1.12773i | 0.0200867 | + | 0.113917i | ||||
\(99\) | 7.72401 | + | 2.64062i | 0.776292 | + | 0.265392i | ||||
\(100\) | 0.0496682 | − | 0.0416766i | 0.00496682 | − | 0.00416766i | ||||
\(101\) | −8.12730 | + | 9.68574i | −0.808696 | + | 0.963767i | −0.999842 | − | 0.0177950i | \(-0.994335\pi\) |
0.191145 | + | 0.981562i | \(0.438780\pi\) | |||||||
\(102\) | 6.77325 | + | 4.64418i | 0.670652 | + | 0.459842i | ||||
\(103\) | −6.05033 | − | 3.49316i | −0.596157 | − | 0.344191i | 0.171371 | − | 0.985207i | \(-0.445180\pi\) |
−0.767528 | + | 0.641015i | \(0.778514\pi\) | |||||||
\(104\) | 0.454764 | − | 0.541967i | 0.0445933 | − | 0.0531442i | ||||
\(105\) | 6.51848 | − | 6.64784i | 0.636138 | − | 0.648763i | ||||
\(106\) | −2.58947 | −0.251512 | ||||||||
\(107\) | −0.382315 | + | 0.662189i | −0.0369598 | + | 0.0640162i | −0.883914 | − | 0.467650i | \(-0.845101\pi\) |
0.846954 | + | 0.531666i | \(0.178434\pi\) | |||||||
\(108\) | −5.16078 | + | 0.605233i | −0.496597 | + | 0.0582386i | ||||
\(109\) | −2.85365 | − | 3.40085i | −0.273330 | − | 0.325742i | 0.611865 | − | 0.790962i | \(-0.290420\pi\) |
−0.885195 | + | 0.465220i | \(0.845975\pi\) | |||||||
\(110\) | −5.68016 | + | 2.06741i | −0.541582 | + | 0.197120i | ||||
\(111\) | 8.47167 | + | 11.8493i | 0.804095 | + | 1.12468i | ||||
\(112\) | −0.420174 | − | 2.38292i | −0.0397027 | − | 0.225165i | ||||
\(113\) | 3.48694 | + | 6.03955i | 0.328023 | + | 0.568153i | 0.982120 | − | 0.188258i | \(-0.0602842\pi\) |
−0.654096 | + | 0.756411i | \(0.726951\pi\) | |||||||
\(114\) | 0.508958 | + | 7.53266i | 0.0476682 | + | 0.705498i | ||||
\(115\) | −8.80863 | + | 15.2570i | −0.821409 | + | 1.42272i | ||||
\(116\) | −8.78212 | − | 3.19643i | −0.815399 | − | 0.296781i | ||||
\(117\) | −2.12205 | + | 0.0417046i | −0.196184 | + | 0.00385559i | ||||
\(118\) | −3.17186 | − | 2.66151i | −0.291993 | − | 0.245012i | ||||
\(119\) | 11.2986 | − | 1.99225i | 1.03574 | − | 0.182630i | ||||
\(120\) | 2.69394 | − | 2.74740i | 0.245922 | − | 0.250802i | ||||
\(121\) | 3.59631 | 0.326937 | ||||||||
\(122\) | 3.37747 | − | 5.84995i | 0.305782 | − | 0.529630i | ||||
\(123\) | −4.31022 | + | 16.7422i | −0.388640 | + | 1.50960i | ||||
\(124\) | 6.90901 | + | 1.21825i | 0.620448 | + | 0.109402i | ||||
\(125\) | 9.74422 | − | 5.62583i | 0.871549 | − | 0.503189i | ||||
\(126\) | −4.55587 | + | 5.65137i | −0.405869 | + | 0.503464i | ||||
\(127\) | −0.0957048 | − | 0.0168753i | −0.00849242 | − | 0.00149744i | 0.169400 | − | 0.985547i | \(-0.445817\pi\) |
−0.177893 | + | 0.984050i | \(0.556928\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 1.73407 | + | 1.70033i | 0.152677 | + | 0.149705i | ||||
\(130\) | 1.20399 | − | 1.01027i | 0.105597 | − | 0.0886064i | ||||
\(131\) | 14.8978 | − | 2.62688i | 1.30163 | − | 0.229512i | 0.520488 | − | 0.853869i | \(-0.325750\pi\) |
0.781139 | + | 0.624357i | \(0.214639\pi\) | |||||||
\(132\) | 4.25153 | − | 2.03361i | 0.370048 | − | 0.177003i | ||||
\(133\) | 7.87522 | + | 7.01595i | 0.682868 | + | 0.608360i | ||||
\(134\) | − | 0.548302i | − | 0.0473661i | ||||||
\(135\) | −11.5241 | − | 0.666730i | −0.991837 | − | 0.0573830i | ||||
\(136\) | 4.66946 | − | 0.823352i | 0.400403 | − | 0.0706019i | ||||
\(137\) | −4.81276 | − | 13.2230i | −0.411182 | − | 1.12971i | −0.956563 | − | 0.291525i | \(-0.905837\pi\) |
0.545381 | − | 0.838188i | \(-0.316385\pi\) | |||||||
\(138\) | 5.68234 | − | 12.5051i | 0.483713 | − | 1.06451i | ||||
\(139\) | 6.13295 | − | 2.23221i | 0.520190 | − | 0.189334i | −0.0685630 | − | 0.997647i | \(-0.521841\pi\) |
0.588753 | + | 0.808313i | \(0.299619\pi\) | |||||||
\(140\) | − | 5.37539i | − | 0.454303i | ||||||
\(141\) | 9.44545 | − | 4.51799i | 0.795450 | − | 0.380483i | ||||
\(142\) | 0.906245 | − | 5.13957i | 0.0760504 | − | 0.431303i | ||||
\(143\) | 1.80896 | − | 0.658407i | 0.151273 | − | 0.0550588i | ||||
\(144\) | −1.88283 | + | 2.33558i | −0.156903 | + | 0.194632i | ||||
\(145\) | −17.9802 | − | 10.3809i | −1.49318 | − | 0.862085i | ||||
\(146\) | 0.216441 | + | 0.181616i | 0.0179128 | + | 0.0150306i | ||||
\(147\) | −0.192270 | − | 1.97407i | −0.0158582 | − | 0.162818i | ||||
\(148\) | 8.28205 | + | 1.46035i | 0.680780 | + | 0.120040i | ||||
\(149\) | 4.89923 | + | 5.83868i | 0.401361 | + | 0.478323i | 0.928434 | − | 0.371496i | \(-0.121155\pi\) |
−0.527074 | + | 0.849820i | \(0.676711\pi\) | |||||||
\(150\) | −0.0913547 | + | 0.0653142i | −0.00745908 | + | 0.00533288i | ||||
\(151\) | −3.72066 | − | 2.14813i | −0.302783 | − | 0.174812i | 0.340909 | − | 0.940096i | \(-0.389265\pi\) |
−0.643693 | + | 0.765284i | \(0.722598\pi\) | |||||||
\(152\) | 3.25465 | + | 2.89953i | 0.263987 | + | 0.235183i | ||||
\(153\) | −11.0741 | − | 8.92745i | −0.895292 | − | 0.721742i | ||||
\(154\) | 2.25183 | − | 6.18684i | 0.181457 | − | 0.498550i | ||||
\(155\) | 14.6454 | + | 5.33049i | 1.17635 | + | 0.428155i | ||||
\(156\) | −0.857936 | + | 0.874963i | −0.0686899 | + | 0.0700531i | ||||
\(157\) | −20.0658 | − | 7.30336i | −1.60143 | − | 0.582871i | −0.621707 | − | 0.783250i | \(-0.713561\pi\) |
−0.979719 | + | 0.200378i | \(0.935783\pi\) | |||||||
\(158\) | −0.813728 | − | 2.23570i | −0.0647367 | − | 0.177863i | ||||
\(159\) | 4.47165 | + | 0.346984i | 0.354625 | + | 0.0275176i | ||||
\(160\) | − | 2.22152i | − | 0.175627i | ||||||
\(161\) | −6.56294 | − | 18.0315i | −0.517232 | − | 1.42108i | ||||
\(162\) | 8.99305 | − | 0.353617i | 0.706561 | − | 0.0277827i | ||||
\(163\) | 10.9025 | + | 18.8837i | 0.853952 | + | 1.47909i | 0.877614 | + | 0.479368i | \(0.159134\pi\) |
−0.0236619 | + | 0.999720i | \(0.507533\pi\) | |||||||
\(164\) | 4.99067 | + | 8.64409i | 0.389706 | + | 0.674990i | ||||
\(165\) | 10.0859 | − | 2.80900i | 0.785184 | − | 0.218680i | ||||
\(166\) | 1.29859 | − | 3.56786i | 0.100790 | − | 0.276920i | ||||
\(167\) | −2.27883 | + | 12.9239i | −0.176341 | + | 1.00008i | 0.760244 | + | 0.649638i | \(0.225079\pi\) |
−0.936585 | + | 0.350441i | \(0.886032\pi\) | |||||||
\(168\) | 0.406274 | + | 4.17128i | 0.0313447 | + | 0.321821i | ||||
\(169\) | 9.57514 | − | 8.03450i | 0.736549 | − | 0.618038i | ||||
\(170\) | 10.5333 | 0.807870 | ||||||||
\(171\) | 0.130464 | − | 13.0760i | 0.00997684 | − | 0.999950i | ||||
\(172\) | 1.40216 | 0.106913 | ||||||||
\(173\) | 5.38886 | − | 4.52179i | 0.409707 | − | 0.343785i | −0.414524 | − | 0.910038i | \(-0.636052\pi\) |
0.824231 | + | 0.566253i | \(0.191608\pi\) | |||||||
\(174\) | 14.7372 | + | 6.69657i | 1.11722 | + | 0.507666i | ||||
\(175\) | −0.0272429 | + | 0.154502i | −0.00205937 | + | 0.0116793i | ||||
\(176\) | 0.930627 | − | 2.55688i | 0.0701487 | − | 0.192732i | ||||
\(177\) | 5.12072 | + | 5.02107i | 0.384897 | + | 0.377407i | ||||
\(178\) | −9.15710 | − | 15.8606i | −0.686353 | − | 1.18880i | ||||
\(179\) | 1.69347 | + | 2.93318i | 0.126576 | + | 0.219236i | 0.922348 | − | 0.386360i | \(-0.126268\pi\) |
−0.795772 | + | 0.605597i | \(0.792935\pi\) | |||||||
\(180\) | −5.02019 | + | 4.38339i | −0.374183 | + | 0.326719i | ||||
\(181\) | 6.92966 | + | 19.0391i | 0.515077 | + | 1.41516i | 0.875884 | + | 0.482523i | \(0.160279\pi\) |
−0.360806 | + | 0.932641i | \(0.617498\pi\) | |||||||
\(182\) | 1.71190i | 0.126894i | ||||||||
\(183\) | −6.61630 | + | 9.64947i | −0.489091 | + | 0.713309i | ||||
\(184\) | −2.71231 | − | 7.45201i | −0.199954 | − | 0.549370i | ||||
\(185\) | 17.5559 | + | 6.38982i | 1.29073 | + | 0.469789i | ||||
\(186\) | −11.7677 | − | 3.02953i | −0.862846 | − | 0.222136i | ||||
\(187\) | 12.1234 | + | 4.41257i | 0.886553 | + | 0.322679i | ||||
\(188\) | 2.06754 | − | 5.68051i | 0.150791 | − | 0.414294i | ||||
\(189\) | 8.62462 | − | 9.14865i | 0.627348 | − | 0.665466i | ||||
\(190\) | 6.00189 | + | 7.59904i | 0.435423 | + | 0.551292i | ||||
\(191\) | −8.58403 | − | 4.95599i | −0.621119 | − | 0.358603i | 0.156186 | − | 0.987728i | \(-0.450080\pi\) |
−0.777304 | + | 0.629125i | \(0.783413\pi\) | |||||||
\(192\) | 0.167904 | + | 1.72389i | 0.0121174 | + | 0.124411i | ||||
\(193\) | −9.09660 | − | 10.8409i | −0.654788 | − | 0.780346i | 0.331840 | − | 0.943336i | \(-0.392331\pi\) |
−0.986628 | + | 0.162990i | \(0.947886\pi\) | |||||||
\(194\) | 11.4905 | + | 2.02608i | 0.824968 | + | 0.145464i | ||||
\(195\) | −2.21450 | + | 1.58326i | −0.158584 | + | 0.113380i | ||||
\(196\) | −0.877215 | − | 0.736070i | −0.0626582 | − | 0.0525765i | ||||
\(197\) | −8.64271 | − | 4.98987i | −0.615768 | − | 0.355514i | 0.159452 | − | 0.987206i | \(-0.449027\pi\) |
−0.775219 | + | 0.631692i | \(0.782361\pi\) | |||||||
\(198\) | −7.61429 | + | 2.94206i | −0.541124 | + | 0.209083i | ||||
\(199\) | 17.7771 | − | 6.47033i | 1.26018 | − | 0.458670i | 0.376354 | − | 0.926476i | \(-0.377178\pi\) |
0.883831 | + | 0.467806i | \(0.154955\pi\) | |||||||
\(200\) | −0.0112589 | + | 0.0638523i | −0.000796123 | + | 0.00451504i | ||||
\(201\) | −0.0734714 | + | 0.946840i | −0.00518227 | + | 0.0667850i | ||||
\(202\) | − | 12.6438i | − | 0.889617i | ||||||
\(203\) | 21.2500 | − | 7.73435i | 1.49145 | − | 0.542845i | ||||
\(204\) | −8.17383 | + | 0.796114i | −0.572283 | + | 0.0557392i | ||||
\(205\) | 7.58387 | + | 20.8365i | 0.529680 | + | 1.45529i | ||||
\(206\) | 6.88018 | − | 1.21316i | 0.479365 | − | 0.0845250i | ||||
\(207\) | −11.4883 | + | 20.8332i | −0.798489 | + | 1.44801i | ||||
\(208\) | 0.707487i | 0.0490554i | ||||||||
\(209\) | 3.72458 | + | 11.2604i | 0.257634 | + | 0.778901i | ||||
\(210\) | −0.720292 | + | 9.28254i | −0.0497049 | + | 0.640556i | ||||
\(211\) | 13.0166 | − | 2.29518i | 0.896102 | − | 0.158007i | 0.293415 | − | 0.955985i | \(-0.405208\pi\) |
0.602686 | + | 0.797978i | \(0.294097\pi\) | |||||||
\(212\) | 1.98365 | − | 1.66448i | 0.136238 | − | 0.114317i | ||||
\(213\) | −2.25365 | + | 8.75389i | −0.154418 | + | 0.599806i | ||||
\(214\) | −0.132777 | − | 0.753013i | −0.00907642 | − | 0.0514749i | ||||
\(215\) | 3.06760 | + | 0.540900i | 0.209208 | + | 0.0368891i | ||||
\(216\) | 3.56435 | − | 3.78092i | 0.242524 | − | 0.257259i | ||||
\(217\) | −14.7012 | + | 8.48777i | −0.997986 | + | 0.576187i | ||||
\(218\) | 4.37205 | + | 0.770910i | 0.296112 | + | 0.0522126i | ||||
\(219\) | −0.349427 | − | 0.342627i | −0.0236121 | − | 0.0231526i | ||||
\(220\) | 3.02235 | − | 5.23487i | 0.203767 | − | 0.352935i | ||||
\(221\) | −3.35455 | −0.225651 | ||||||||
\(222\) | −14.1063 | − | 3.63160i | −0.946750 | − | 0.243737i | ||||
\(223\) | −18.0464 | + | 3.18207i | −1.20848 | + | 0.213087i | −0.741359 | − | 0.671108i | \(-0.765818\pi\) |
−0.467117 | + | 0.884195i | \(0.654707\pi\) | |||||||
\(224\) | 1.85359 | + | 1.55534i | 0.123848 | + | 0.103921i | ||||
\(225\) | 0.166509 | − | 0.100547i | 0.0111006 | − | 0.00670314i | ||||
\(226\) | −6.55330 | − | 2.38520i | −0.435919 | − | 0.158661i | ||||
\(227\) | 0.788645 | − | 1.36597i | 0.0523442 | − | 0.0906628i | −0.838666 | − | 0.544646i | \(-0.816664\pi\) |
0.891010 | + | 0.453983i | \(0.149997\pi\) | |||||||
\(228\) | −5.23178 | − | 5.44320i | −0.346483 | − | 0.360485i | ||||
\(229\) | −7.07034 | − | 12.2462i | −0.467221 | − | 0.809251i | 0.532077 | − | 0.846696i | \(-0.321412\pi\) |
−0.999299 | + | 0.0374448i | \(0.988078\pi\) | |||||||
\(230\) | −3.05921 | − | 17.3496i | −0.201718 | − | 1.14400i | ||||
\(231\) | −4.71761 | + | 10.3821i | −0.310396 | + | 0.683090i | ||||
\(232\) | 8.78212 | − | 3.19643i | 0.576574 | − | 0.209856i | ||||
\(233\) | −7.71897 | − | 9.19911i | −0.505687 | − | 0.602654i | 0.451448 | − | 0.892298i | \(-0.350908\pi\) |
−0.957135 | + | 0.289644i | \(0.906463\pi\) | |||||||
\(234\) | 1.59878 | − | 1.39598i | 0.104515 | − | 0.0912579i | ||||
\(235\) | 6.71463 | − | 11.6301i | 0.438014 | − | 0.758663i | ||||
\(236\) | 4.14057 | 0.269528 | ||||||||
\(237\) | 1.10561 | + | 3.96978i | 0.0718174 | + | 0.257865i | ||||
\(238\) | −7.37466 | + | 8.78877i | −0.478028 | + | 0.569692i | ||||
\(239\) | −6.31711 | − | 3.64718i | −0.408620 | − | 0.235917i | 0.281577 | − | 0.959539i | \(-0.409143\pi\) |
−0.690196 | + | 0.723622i | \(0.742476\pi\) | |||||||
\(240\) | −0.297680 | + | 3.83626i | −0.0192152 | + | 0.247629i | ||||
\(241\) | 17.1946 | − | 20.4917i | 1.10760 | − | 1.31999i | 0.164913 | − | 0.986308i | \(-0.447266\pi\) |
0.942687 | − | 0.333678i | \(-0.108290\pi\) | |||||||
\(242\) | −2.75493 | + | 2.31166i | −0.177094 | + | 0.148599i | ||||
\(243\) | −15.5771 | − | 0.594406i | −0.999273 | − | 0.0381312i | ||||
\(244\) | 1.17298 | + | 6.65232i | 0.0750926 | + | 0.425871i | ||||
\(245\) | −1.63520 | − | 1.94875i | −0.104469 | − | 0.124501i | ||||
\(246\) | −7.45989 | − | 15.5959i | −0.475625 | − | 0.994356i | ||||
\(247\) | −1.91142 | − | 2.42006i | −0.121621 | − | 0.153985i | ||||
\(248\) | −6.07569 | + | 3.50780i | −0.385806 | + | 0.222745i | ||||
\(249\) | −2.72058 | + | 5.98718i | −0.172410 | + | 0.379422i | ||||
\(250\) | −3.84829 | + | 10.5731i | −0.243387 | + | 0.668701i | ||||
\(251\) | −0.484357 | + | 0.577234i | −0.0305723 | + | 0.0364347i | −0.781114 | − | 0.624388i | \(-0.785348\pi\) |
0.750542 | + | 0.660823i | \(0.229793\pi\) | |||||||
\(252\) | −0.142634 | − | 7.25765i | −0.00898512 | − | 0.457189i | ||||
\(253\) | 3.74699 | − | 21.2502i | 0.235571 | − | 1.33599i | ||||
\(254\) | 0.0841614 | − | 0.0485906i | 0.00528075 | − | 0.00304884i | ||||
\(255\) | −18.1896 | − | 1.41145i | −1.13908 | − | 0.0883883i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −10.4830 | − | 8.79627i | −0.653910 | − | 0.548696i | 0.254344 | − | 0.967114i | \(-0.418140\pi\) |
−0.908255 | + | 0.418418i | \(0.862585\pi\) | |||||||
\(258\) | −2.42133 | − | 0.187886i | −0.150745 | − | 0.0116973i | ||||
\(259\) | −17.6228 | + | 10.1746i | −1.09503 | + | 0.632216i | ||||
\(260\) | −0.272923 | + | 1.54782i | −0.0169259 | + | 0.0959918i | ||||
\(261\) | −24.5517 | − | 13.5388i | −1.51971 | − | 0.838030i | ||||
\(262\) | −9.72385 | + | 11.5884i | −0.600741 | + | 0.715936i | ||||
\(263\) | 5.25045 | − | 14.4255i | 0.323757 | − | 0.889515i | −0.665898 | − | 0.746043i | \(-0.731951\pi\) |
0.989654 | − | 0.143471i | \(-0.0458265\pi\) | |||||||
\(264\) | −1.94968 | + | 4.29067i | −0.119995 | + | 0.264072i | ||||
\(265\) | 4.98187 | − | 2.87628i | 0.306034 | − | 0.176689i | ||||
\(266\) | −10.5425 | − | 0.312440i | −0.646404 | − | 0.0191569i | ||||
\(267\) | 13.6877 | + | 28.6160i | 0.837676 | + | 1.75127i | ||||
\(268\) | 0.352442 | + | 0.420023i | 0.0215288 | + | 0.0256570i | ||||
\(269\) | 3.84336 | + | 21.7968i | 0.234334 | + | 1.32897i | 0.844012 | + | 0.536324i | \(0.180187\pi\) |
−0.609679 | + | 0.792649i | \(0.708702\pi\) | |||||||
\(270\) | 9.25654 | − | 6.89680i | 0.563335 | − | 0.419726i | ||||
\(271\) | −10.3808 | + | 8.71054i | −0.630590 | + | 0.529128i | −0.901112 | − | 0.433586i | \(-0.857248\pi\) |
0.270522 | + | 0.962714i | \(0.412804\pi\) | |||||||
\(272\) | −3.04778 | + | 3.63220i | −0.184799 | + | 0.220234i | ||||
\(273\) | 0.229391 | − | 2.95621i | 0.0138834 | − | 0.178918i | ||||
\(274\) | 12.1863 | + | 7.03579i | 0.736204 | + | 0.425047i | ||||
\(275\) | −0.113401 | + | 0.135146i | −0.00683833 | + | 0.00814961i | ||||
\(276\) | 3.68522 | + | 13.2320i | 0.221824 | + | 0.796474i | ||||
\(277\) | −18.6780 | −1.12225 | −0.561127 | − | 0.827730i | \(-0.689632\pi\) | ||||
−0.561127 | + | 0.827730i | \(0.689632\pi\) | |||||||
\(278\) | −3.26327 | + | 5.65215i | −0.195718 | + | 0.338994i | ||||
\(279\) | 19.9151 | + | 6.80843i | 1.19229 | + | 0.407610i | ||||
\(280\) | 3.45523 | + | 4.11778i | 0.206490 | + | 0.246085i | ||||
\(281\) | 16.1968 | − | 5.89514i | 0.966218 | − | 0.351675i | 0.189751 | − | 0.981832i | \(-0.439232\pi\) |
0.776467 | + | 0.630157i | \(0.217010\pi\) | |||||||
\(282\) | −4.33152 | + | 9.53240i | −0.257938 | + | 0.567646i | ||||
\(283\) | −4.62374 | − | 26.2226i | −0.274853 | − | 1.55877i | −0.739428 | − | 0.673235i | \(-0.764904\pi\) |
0.464575 | − | 0.885534i | \(-0.346207\pi\) | |||||||
\(284\) | 2.60943 | + | 4.51966i | 0.154841 | + | 0.268193i | ||||
\(285\) | −9.34617 | − | 13.9267i | −0.553619 | − | 0.824947i | ||||
\(286\) | −0.962527 | + | 1.66715i | −0.0569154 | + | 0.0985804i | ||||
\(287\) | −22.6952 | − | 8.26036i | −1.33965 | − | 0.487594i | ||||
\(288\) | −0.0589475 | − | 2.99942i | −0.00347351 | − | 0.176743i | ||||
\(289\) | −4.19929 | − | 3.52362i | −0.247017 | − | 0.207272i | ||||
\(290\) | 20.4463 | − | 3.60524i | 1.20065 | − | 0.211707i | ||||
\(291\) | −19.5709 | − | 5.03846i | −1.14727 | − | 0.295360i | ||||
\(292\) | −0.282544 | −0.0165346 | ||||||||
\(293\) | −14.3734 | + | 24.8954i | −0.839701 | + | 1.45440i | 0.0504440 | + | 0.998727i | \(0.483936\pi\) |
−0.890145 | + | 0.455678i | \(0.849397\pi\) | |||||||
\(294\) | 1.41619 | + | 1.38864i | 0.0825941 | + | 0.0809869i | ||||
\(295\) | 9.05862 | + | 1.59728i | 0.527414 | + | 0.0929972i | ||||
\(296\) | −7.28311 | + | 4.20491i | −0.423322 | + | 0.244405i | ||||
\(297\) | 13.5430 | − | 4.06023i | 0.785847 | − | 0.235599i | ||||
\(298\) | −7.50606 | − | 1.32352i | −0.434814 | − | 0.0766695i | ||||
\(299\) | 0.974264 | + | 5.52533i | 0.0563431 | + | 0.319538i | ||||
\(300\) | 0.0279986 | − | 0.108755i | 0.00161650 | − | 0.00627899i | ||||
\(301\) | −2.59902 | + | 2.18083i | −0.149805 | + | 0.125701i | ||||
\(302\) | 4.23098 | − | 0.746036i | 0.243466 | − | 0.0429296i | ||||
\(303\) | −1.69425 | + | 21.8341i | −0.0973321 | + | 1.25434i | ||||
\(304\) | −4.35699 | − | 0.129124i | −0.249890 | − | 0.00740577i | ||||
\(305\) | 15.0063i | 0.859256i | ||||||||
\(306\) | 14.2217 | − | 0.279499i | 0.813003 | − | 0.0159779i | ||||
\(307\) | −20.5632 | + | 3.62584i | −1.17360 | + | 0.206938i | −0.726256 | − | 0.687424i | \(-0.758741\pi\) |
−0.447345 | + | 0.894362i | \(0.647630\pi\) | |||||||
\(308\) | 2.25183 | + | 6.18684i | 0.128310 | + | 0.352528i | ||||
\(309\) | −12.0437 | + | 1.17303i | −0.685141 | + | 0.0667313i | ||||
\(310\) | −14.6454 | + | 5.33049i | −0.831803 | + | 0.302751i | ||||
\(311\) | − | 9.45035i | − | 0.535880i | −0.963436 | − | 0.267940i | \(-0.913657\pi\) | ||
0.963436 | − | 0.267940i | \(-0.0863429\pi\) | |||||||
\(312\) | 0.0948020 | − | 1.22173i | 0.00536711 | − | 0.0691669i | ||||
\(313\) | 2.27679 | − | 12.9123i | 0.128692 | − | 0.729848i | −0.850354 | − | 0.526210i | \(-0.823612\pi\) |
0.979046 | − | 0.203638i | \(-0.0652765\pi\) | |||||||
\(314\) | 20.0658 | − | 7.30336i | 1.13238 | − | 0.412152i | ||||
\(315\) | 2.48769 | − | 15.9331i | 0.140165 | − | 0.897730i | ||||
\(316\) | 2.06043 | + | 1.18959i | 0.115908 | + | 0.0669197i | ||||
\(317\) | 4.52011 | + | 3.79283i | 0.253875 | + | 0.213026i | 0.760839 | − | 0.648941i | \(-0.224788\pi\) |
−0.506964 | + | 0.861967i | \(0.669232\pi\) | |||||||
\(318\) | −3.64852 | + | 2.60852i | −0.204599 | + | 0.146278i | ||||
\(319\) | 25.0432 | + | 4.41578i | 1.40215 | + | 0.247236i | ||||
\(320\) | 1.42797 | + | 1.70179i | 0.0798258 | + | 0.0951327i | ||||
\(321\) | 0.128384 | + | 1.31814i | 0.00716570 | + | 0.0735714i | ||||
\(322\) | 16.6179 | + | 9.59437i | 0.926082 | + | 0.534674i | ||||
\(323\) | 0.612241 | − | 20.6586i | 0.0340660 | − | 1.14948i | ||||
\(324\) | −6.66178 | + | 6.05151i | −0.370099 | + | 0.336195i | ||||
\(325\) | 0.0156890 | − | 0.0431052i | 0.000870269 | − | 0.00239104i | ||||
\(326\) | −20.4901 | − | 7.45777i | −1.13484 | − | 0.413048i | ||||
\(327\) | −7.44661 | − | 1.91710i | −0.411798 | − | 0.106016i | ||||
\(328\) | −9.37938 | − | 3.41382i | −0.517890 | − | 0.188496i | ||||
\(329\) | 5.00279 | + | 13.7450i | 0.275813 | + | 0.757789i | ||||
\(330\) | −5.92064 | + | 8.63489i | −0.325920 | + | 0.475335i | ||||
\(331\) | 5.02188i | 0.276028i | 0.990430 | + | 0.138014i | \(0.0440718\pi\) | ||||
−0.990430 | + | 0.138014i | \(0.955928\pi\) | |||||||
\(332\) | 1.29859 | + | 3.56786i | 0.0712696 | + | 0.195812i | ||||
\(333\) | 23.8729 | + | 8.16147i | 1.30823 | + | 0.447246i | ||||
\(334\) | −6.56162 | − | 11.3651i | −0.359036 | − | 0.621868i | ||||
\(335\) | 0.609032 | + | 1.05487i | 0.0332750 | + | 0.0576340i | ||||
\(336\) | −2.99247 | − | 2.93424i | −0.163253 | − | 0.160076i | ||||
\(337\) | 4.07843 | − | 11.2054i | 0.222166 | − | 0.610397i | −0.777667 | − | 0.628677i | \(-0.783597\pi\) |
0.999833 | + | 0.0182800i | \(0.00581903\pi\) | |||||||
\(338\) | −2.17051 | + | 12.3096i | −0.118060 | + | 0.669552i | ||||
\(339\) | 10.9970 | + | 4.99704i | 0.597276 | + | 0.271402i | ||||
\(340\) | −8.06901 | + | 6.77070i | −0.437603 | + | 0.367193i | ||||
\(341\) | −19.0892 | −1.03374 | ||||||||
\(342\) | 8.30518 | + | 10.1007i | 0.449093 | + | 0.546183i | ||||
\(343\) | 19.7086 | 1.06417 | ||||||||
\(344\) | −1.07411 | + | 0.901288i | −0.0579123 | + | 0.0485942i | ||||
\(345\) | 2.95800 | + | 30.3703i | 0.159254 | + | 1.63508i | ||||
\(346\) | −1.22155 | + | 6.92778i | −0.0656712 | + | 0.372440i | ||||
\(347\) | 12.4134 | − | 34.1054i | 0.666384 | − | 1.83088i | 0.121070 | − | 0.992644i | \(-0.461367\pi\) |
0.545314 | − | 0.838232i | \(-0.316410\pi\) | |||||||
\(348\) | −15.5938 | + | 4.34300i | −0.835915 | + | 0.232809i | ||||
\(349\) | −14.4521 | − | 25.0317i | −0.773602 | − | 1.33992i | −0.935577 | − | 0.353124i | \(-0.885120\pi\) |
0.161974 | − | 0.986795i | \(-0.448214\pi\) | |||||||
\(350\) | −0.0784429 | − | 0.135867i | −0.00419295 | − | 0.00726240i | ||||
\(351\) | −2.94793 | + | 2.19642i | −0.157349 | + | 0.117236i | ||||
\(352\) | 0.930627 | + | 2.55688i | 0.0496026 | + | 0.136282i | ||||
\(353\) | − | 14.1474i | − | 0.752989i | −0.926419 | − | 0.376494i | \(-0.877129\pi\) | ||
0.926419 | − | 0.376494i | \(-0.122871\pi\) | |||||||
\(354\) | −7.15018 | − | 0.554829i | −0.380028 | − | 0.0294888i | ||||
\(355\) | 3.96532 | + | 10.8946i | 0.210457 | + | 0.578226i | ||||
\(356\) | 17.2097 | + | 6.26382i | 0.912113 | + | 0.331982i | ||||
\(357\) | 13.9127 | − | 14.1888i | 0.736337 | − | 0.750950i | ||||
\(358\) | −3.18269 | − | 1.15840i | −0.168210 | − | 0.0612236i | ||||
\(359\) | 2.03698 | − | 5.59655i | 0.107508 | − | 0.295375i | −0.874261 | − | 0.485457i | \(-0.838653\pi\) |
0.981768 | + | 0.190082i | \(0.0608755\pi\) | |||||||
\(360\) | 1.02810 | − | 6.58479i | 0.0541858 | − | 0.347049i | ||||
\(361\) | 15.2526 | − | 11.3296i | 0.802766 | − | 0.596294i | ||||
\(362\) | −17.5465 | − | 10.1305i | −0.922224 | − | 0.532446i | ||||
\(363\) | 5.06714 | − | 3.62276i | 0.265956 | − | 0.190146i | ||||
\(364\) | −1.10039 | − | 1.31139i | −0.0576759 | − | 0.0687355i | ||||
\(365\) | −0.618141 | − | 0.108995i | −0.0323550 | − | 0.00570506i | ||||
\(366\) | −1.13418 | − | 11.6448i | −0.0592845 | − | 0.608683i | ||||
\(367\) | 19.8612 | + | 16.6655i | 1.03675 | + | 0.869933i | 0.991638 | − | 0.129050i | \(-0.0411926\pi\) |
0.0451071 | + | 0.998982i | \(0.485637\pi\) | |||||||
\(368\) | 6.86781 | + | 3.96513i | 0.358009 | + | 0.206697i | ||||
\(369\) | 10.7924 | + | 27.9315i | 0.561828 | + | 1.45405i | ||||
\(370\) | −17.5559 | + | 6.38982i | −0.912687 | + | 0.332191i | ||||
\(371\) | −1.08803 | + | 6.17051i | −0.0564876 | + | 0.320357i | ||||
\(372\) | 10.9619 | − | 5.24335i | 0.568348 | − | 0.271855i | ||||
\(373\) | 13.7506i | 0.711977i | 0.934490 | + | 0.355989i | \(0.115856\pi\) | ||||
−0.934490 | + | 0.355989i | \(0.884144\pi\) | |||||||
\(374\) | −12.1234 | + | 4.41257i | −0.626887 | + | 0.228168i | ||||
\(375\) | 8.06223 | − | 17.7426i | 0.416332 | − | 0.916223i | ||||
\(376\) | 2.06754 | + | 5.68051i | 0.106625 | + | 0.292950i | ||||
\(377\) | −6.51154 | + | 1.14816i | −0.335361 | + | 0.0591332i | ||||
\(378\) | −0.726203 | + | 12.5521i | −0.0373518 | + | 0.645609i | ||||
\(379\) | − | 31.9051i | − | 1.63885i | −0.573184 | − | 0.819426i | \(-0.694292\pi\) | ||
0.573184 | − | 0.819426i | \(-0.305708\pi\) | |||||||
\(380\) | −9.48228 | − | 1.96326i | −0.486431 | − | 0.100713i | ||||
\(381\) | −0.151846 | + | 0.0726316i | −0.00777930 | + | 0.00372103i | ||||
\(382\) | 9.76140 | − | 1.72120i | 0.499437 | − | 0.0880641i | ||||
\(383\) | −1.37055 | + | 1.15003i | −0.0700317 | + | 0.0587636i | −0.677132 | − | 0.735862i | \(-0.736777\pi\) |
0.607100 | + | 0.794626i | \(0.292333\pi\) | |||||||
\(384\) | −1.23672 | − | 1.21265i | −0.0631110 | − | 0.0618829i | ||||
\(385\) | 2.53983 | + | 14.4041i | 0.129442 | + | 0.734099i | ||||
\(386\) | 13.9368 | + | 2.45743i | 0.709365 | + | 0.125080i | ||||
\(387\) | 4.15611 | + | 0.648906i | 0.211267 | + | 0.0329858i | ||||
\(388\) | −10.1046 | + | 5.83386i | −0.512981 | + | 0.296170i | ||||
\(389\) | 20.6635 | + | 3.64353i | 1.04768 | + | 0.184734i | 0.670885 | − | 0.741562i | \(-0.265915\pi\) |
0.376796 | + | 0.926296i | \(0.377026\pi\) | |||||||
\(390\) | 0.678705 | − | 2.63630i | 0.0343675 | − | 0.133494i | ||||
\(391\) | −18.8007 | + | 32.5637i | −0.950790 | + | 1.64682i | ||||
\(392\) | 1.14512 | 0.0578374 | ||||||||
\(393\) | 18.3445 | − | 18.7086i | 0.925360 | − | 0.943725i | ||||
\(394\) | 9.82813 | − | 1.73296i | 0.495134 | − | 0.0873055i | ||||
\(395\) | 4.04885 | + | 3.39739i | 0.203720 | + | 0.170941i | ||||
\(396\) | 3.94177 | − | 7.14813i | 0.198081 | − | 0.359207i | ||||
\(397\) | 11.5484 | + | 4.20328i | 0.579598 | + | 0.210956i | 0.615148 | − | 0.788411i | \(-0.289096\pi\) |
−0.0355501 | + | 0.999368i | \(0.511318\pi\) | |||||||
\(398\) | −9.45900 | + | 16.3835i | −0.474137 | + | 0.821229i | ||||
\(399\) | 18.1636 | + | 1.95222i | 0.909318 | + | 0.0977332i | ||||
\(400\) | −0.0324186 | − | 0.0561507i | −0.00162093 | − | 0.00280754i | ||||
\(401\) | 1.07618 | + | 6.10333i | 0.0537419 | + | 0.304786i | 0.999816 | − | 0.0191637i | \(-0.00610038\pi\) |
−0.946074 | + | 0.323949i | \(0.894989\pi\) | |||||||
\(402\) | −0.552335 | − | 0.772548i | −0.0275480 | − | 0.0385312i | ||||
\(403\) | 4.66411 | − | 1.69760i | 0.232336 | − | 0.0845634i | ||||
\(404\) | 8.12730 | + | 9.68574i | 0.404348 | + | 0.481883i | ||||
\(405\) | −16.9089 | + | 10.6695i | −0.840210 | + | 0.530169i | ||||
\(406\) | −11.3069 | + | 19.5841i | −0.561150 | + | 0.971941i | ||||
\(407\) | −22.8829 | −1.13426 | ||||||||
\(408\) | 5.74979 | − | 5.86390i | 0.284657 | − | 0.290306i | ||||
\(409\) | −12.0503 | + | 14.3609i | −0.595847 | + | 0.710103i | −0.976719 | − | 0.214525i | \(-0.931180\pi\) |
0.380871 | + | 0.924628i | \(0.375624\pi\) | |||||||
\(410\) | −19.2030 | − | 11.0869i | −0.948370 | − | 0.547542i | ||||
\(411\) | −20.1013 | − | 13.7828i | −0.991525 | − | 0.679853i | ||||
\(412\) | −4.49072 | + | 5.35183i | −0.221242 | + | 0.263666i | ||||
\(413\) | −7.67490 | + | 6.44001i | −0.377657 | + | 0.316892i | ||||
\(414\) | −4.59080 | − | 23.3437i | −0.225625 | − | 1.14728i | ||||
\(415\) | 1.46468 | + | 8.30661i | 0.0718983 | + | 0.407756i | ||||
\(416\) | −0.454764 | − | 0.541967i | −0.0222966 | − | 0.0265721i | ||||
\(417\) | 6.39259 | − | 9.32320i | 0.313047 | − | 0.456559i | ||||
\(418\) | −10.0913 | − | 6.23189i | −0.493580 | − | 0.304812i | ||||
\(419\) | 10.7621 | − | 6.21351i | 0.525764 | − | 0.303550i | −0.213526 | − | 0.976937i | \(-0.568495\pi\) |
0.739290 | + | 0.673388i | \(0.235161\pi\) | |||||||
\(420\) | −5.41492 | − | 7.57383i | −0.264221 | − | 0.369565i | ||||
\(421\) | −1.20837 | + | 3.31996i | −0.0588923 | + | 0.161805i | −0.965650 | − | 0.259848i | \(-0.916328\pi\) |
0.906757 | + | 0.421653i | \(0.138550\pi\) | |||||||
\(422\) | −8.49600 | + | 10.1251i | −0.413579 | + | 0.492884i | ||||
\(423\) | 8.75726 | − | 15.8807i | 0.425792 | − | 0.772146i | ||||
\(424\) | −0.449657 | + | 2.55013i | −0.0218373 | + | 0.123845i | ||||
\(425\) | 0.266238 | − | 0.153713i | 0.0129145 | − | 0.00745617i | ||||
\(426\) | −3.90049 | − | 8.15449i | −0.188979 | − | 0.395086i | ||||
\(427\) | −12.5209 | − | 10.5063i | −0.605927 | − | 0.508433i | ||||
\(428\) | 0.585740 | + | 0.491494i | 0.0283128 | + | 0.0237573i | ||||
\(429\) | 1.88554 | − | 2.74995i | 0.0910349 | − | 0.132769i | ||||
\(430\) | −2.69760 | + | 1.55746i | −0.130090 | + | 0.0751074i | ||||
\(431\) | 3.48779 | − | 19.7802i | 0.168001 | − | 0.952781i | −0.777915 | − | 0.628369i | \(-0.783723\pi\) |
0.945916 | − | 0.324411i | \(-0.105166\pi\) | |||||||
\(432\) | −0.300123 | + | 5.18748i | −0.0144397 | + | 0.249583i | ||||
\(433\) | 14.7894 | − | 17.6253i | 0.710732 | − | 0.847017i | −0.282963 | − | 0.959131i | \(-0.591317\pi\) |
0.993695 | + | 0.112113i | \(0.0357619\pi\) | |||||||
\(434\) | 5.80598 | − | 15.9518i | 0.278696 | − | 0.765710i | ||||
\(435\) | −35.7911 | + | 3.48597i | −1.71605 | + | 0.167140i | ||||
\(436\) | −3.84471 | + | 2.21975i | −0.184128 | + | 0.106307i | ||||
\(437\) | −34.2049 | + | 4.99147i | −1.63624 | + | 0.238774i | ||||
\(438\) | 0.487913 | + | 0.0378603i | 0.0233134 | + | 0.00180904i | ||||
\(439\) | 2.48796 | + | 2.96504i | 0.118744 | + | 0.141514i | 0.822142 | − | 0.569283i | \(-0.192779\pi\) |
−0.703398 | + | 0.710797i | \(0.748335\pi\) | |||||||
\(440\) | 1.04965 | + | 5.95287i | 0.0500402 | + | 0.283792i | ||||
\(441\) | −2.25949 | − | 2.58775i | −0.107595 | − | 0.123226i | ||||
\(442\) | 2.56973 | − | 2.15626i | 0.122230 | − | 0.102563i | ||||
\(443\) | −12.8955 | + | 15.3682i | −0.612682 | + | 0.730165i | −0.979794 | − | 0.200011i | \(-0.935902\pi\) |
0.367112 | + | 0.930177i | \(0.380347\pi\) | |||||||
\(444\) | 13.1404 | − | 6.28536i | 0.623614 | − | 0.298290i | ||||
\(445\) | 35.2346 | + | 20.3427i | 1.67028 | + | 0.964336i | ||||
\(446\) | 11.7790 | − | 14.0376i | 0.557749 | − | 0.664700i | ||||
\(447\) | 12.7846 | + | 3.29133i | 0.604689 | + | 0.155675i | ||||
\(448\) | −2.41969 | −0.114319 | ||||||||
\(449\) | 14.4457 | − | 25.0207i | 0.681735 | − | 1.18080i | −0.292716 | − | 0.956200i | \(-0.594559\pi\) |
0.974451 | − | 0.224601i | \(-0.0721077\pi\) | |||||||
\(450\) | −0.0629226 | + | 0.184053i | −0.00296620 | + | 0.00867635i | ||||
\(451\) | −17.4574 | − | 20.8049i | −0.822038 | − | 0.979667i | ||||
\(452\) | 6.55330 | − | 2.38520i | 0.308241 | − | 0.112191i | ||||
\(453\) | −7.40628 | + | 0.721356i | −0.347977 | + | 0.0338923i | ||||
\(454\) | 0.273893 | + | 1.55333i | 0.0128545 | + | 0.0729012i | ||||
\(455\) | −1.90151 | − | 3.29351i | −0.0891441 | − | 0.154402i | ||||
\(456\) | 7.50660 | + | 0.806807i | 0.351529 | + | 0.0377822i | ||||
\(457\) | 13.6445 | − | 23.6330i | 0.638264 | − | 1.10551i | −0.347549 | − | 0.937662i | \(-0.612986\pi\) |
0.985814 | − | 0.167844i | \(-0.0536806\pi\) | |||||||
\(458\) | 13.2879 | + | 4.83640i | 0.620902 | + | 0.225990i | ||||
\(459\) | −24.5964 | − | 1.42303i | −1.14806 | − | 0.0664214i | ||||
\(460\) | 13.4956 | + | 11.3242i | 0.629236 | + | 0.527992i | ||||
\(461\) | 15.3256 | − | 2.70232i | 0.713785 | − | 0.125859i | 0.195048 | − | 0.980794i | \(-0.437514\pi\) |
0.518736 | + | 0.854934i | \(0.326403\pi\) | |||||||
\(462\) | −3.05956 | − | 10.9855i | −0.142344 | − | 0.511094i | ||||
\(463\) | −10.6919 | −0.496896 | −0.248448 | − | 0.968645i | \(-0.579920\pi\) | ||||
−0.248448 | + | 0.968645i | \(0.579920\pi\) | |||||||
\(464\) | −4.67287 | + | 8.09364i | −0.216932 | + | 0.375738i | ||||
\(465\) | 26.0048 | − | 7.24255i | 1.20594 | − | 0.335865i | ||||
\(466\) | 11.8262 | + | 2.08527i | 0.547836 | + | 0.0965983i | ||||
\(467\) | −23.5493 | + | 13.5962i | −1.08973 | + | 0.629156i | −0.933505 | − | 0.358565i | \(-0.883266\pi\) |
−0.156226 | + | 0.987721i | \(0.549933\pi\) | |||||||
\(468\) | −0.327420 | + | 2.09706i | −0.0151350 | + | 0.0969364i | ||||
\(469\) | −1.30656 | − | 0.230382i | −0.0603314 | − | 0.0106381i | ||||
\(470\) | 2.33197 | + | 13.2252i | 0.107566 | + | 0.610035i | ||||
\(471\) | −35.6295 | + | 9.92309i | −1.64172 | + | 0.457232i | ||||
\(472\) | −3.17186 | + | 2.66151i | −0.145997 | + | 0.122506i | ||||
\(473\) | −3.75726 | + | 0.662507i | −0.172759 | + | 0.0304621i | ||||
\(474\) | −3.39867 | − | 2.33035i | −0.156106 | − | 0.107037i | ||||
\(475\) | 0.262595 | + | 0.104486i | 0.0120487 | + | 0.00479415i | ||||
\(476\) | − | 11.4729i | − | 0.525861i | ||||||
\(477\) | 6.65002 | − | 4.01565i | 0.304483 | − | 0.183864i | ||||
\(478\) | 7.18355 | − | 1.26665i | 0.328568 | − | 0.0579354i | ||||
\(479\) | −10.5704 | − | 29.0420i | −0.482975 | − | 1.32696i | −0.906930 | − | 0.421281i | \(-0.861581\pi\) |
0.423955 | − | 0.905683i | \(-0.360642\pi\) | |||||||
\(480\) | −2.23786 | − | 3.13009i | −0.102144 | − | 0.142868i | ||||
\(481\) | 5.59102 | − | 2.03496i | 0.254928 | − | 0.0927864i | ||||
\(482\) | 26.7500i | 1.21843i | ||||||||
\(483\) | −27.4112 | − | 18.7949i | −1.24725 | − | 0.855198i | ||||
\(484\) | 0.624492 | − | 3.54167i | 0.0283860 | − | 0.160985i | ||||
\(485\) | −24.3570 | + | 8.86520i | −1.10599 | + | 0.402548i | ||||
\(486\) | 12.3148 | − | 9.55744i | 0.558613 | − | 0.433534i | ||||
\(487\) | 2.16318 | + | 1.24891i | 0.0980230 | + | 0.0565936i | 0.548210 | − | 0.836341i | \(-0.315309\pi\) |
−0.450187 | + | 0.892934i | \(0.648643\pi\) | |||||||
\(488\) | −5.17459 | − | 4.34199i | −0.234242 | − | 0.196553i | ||||
\(489\) | 34.3841 | + | 15.6242i | 1.55490 | + | 0.706549i | ||||
\(490\) | 2.50527 | + | 0.441746i | 0.113176 | + | 0.0199561i | ||||
\(491\) | 24.6041 | + | 29.3220i | 1.11037 | + | 1.32328i | 0.941259 | + | 0.337684i | \(0.109644\pi\) |
0.169106 | + | 0.985598i | \(0.445912\pi\) | |||||||
\(492\) | 15.7394 | + | 7.15200i | 0.709588 | + | 0.322437i | ||||
\(493\) | −38.3760 | − | 22.1564i | −1.72837 | − | 0.997873i | ||||
\(494\) | 3.01982 | + | 0.625239i | 0.135868 | + | 0.0281308i | ||||
\(495\) | 11.3812 | − | 14.1179i | 0.511546 | − | 0.634552i | ||||
\(496\) | 2.39948 | − | 6.59250i | 0.107740 | − | 0.296012i | ||||
\(497\) | −11.8664 | − | 4.31903i | −0.532282 | − | 0.193735i | ||||
\(498\) | −1.76440 | − | 6.33520i | −0.0790648 | − | 0.283887i | ||||
\(499\) | 26.3243 | + | 9.58126i | 1.17844 | + | 0.428916i | 0.855650 | − | 0.517555i | \(-0.173158\pi\) |
0.322788 | + | 0.946471i | \(0.395380\pi\) | |||||||
\(500\) | −3.84829 | − | 10.5731i | −0.172101 | − | 0.472843i | ||||
\(501\) | 9.80810 | + | 20.5051i | 0.438193 | + | 0.916100i | ||||
\(502\) | − | 0.753526i | − | 0.0336315i | ||||||
\(503\) | −8.33024 | − | 22.8872i | −0.371427 | − | 1.02049i | −0.974810 | − | 0.223036i | \(-0.928403\pi\) |
0.603383 | − | 0.797452i | \(-0.293819\pi\) | |||||||
\(504\) | 4.77439 | + | 5.46800i | 0.212668 | + | 0.243564i | ||||
\(505\) | 14.0443 | + | 24.3254i | 0.624962 | + | 1.08247i | ||||
\(506\) | 10.7890 | + | 18.6871i | 0.479630 | + | 0.830744i | ||||
\(507\) | 5.39762 | − | 20.9661i | 0.239717 | − | 0.931135i | ||||
\(508\) | −0.0332379 | + | 0.0913204i | −0.00147469 | + | 0.00405169i | ||||
\(509\) | −6.88038 | + | 39.0206i | −0.304968 | + | 1.72956i | 0.318689 | + | 0.947859i | \(0.396757\pi\) |
−0.623657 | + | 0.781698i | \(0.714354\pi\) | |||||||
\(510\) | 14.8413 | − | 10.6108i | 0.657184 | − | 0.469855i | ||||
\(511\) | 0.523719 | − | 0.439453i | 0.0231680 | − | 0.0194402i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −12.9884 | − | 18.5554i | −0.573452 | − | 0.819239i | ||||
\(514\) | 13.6846 | 0.603600 | ||||||||
\(515\) | −11.8892 | + | 9.97624i | −0.523901 | + | 0.439606i | ||||
\(516\) | 1.97561 | − | 1.41247i | 0.0869715 | − | 0.0621805i | ||||
\(517\) | −2.85625 | + | 16.1986i | −0.125618 | + | 0.712413i | ||||
\(518\) | 6.95980 | − | 19.1219i | 0.305796 | − | 0.840168i | ||||
\(519\) | 3.03776 | − | 11.7996i | 0.133343 | − | 0.517946i | ||||
\(520\) | −0.785850 | − | 1.36113i | −0.0344618 | − | 0.0596896i | ||||
\(521\) | 4.68512 | + | 8.11486i | 0.205259 | + | 0.355519i | 0.950215 | − | 0.311595i | \(-0.100863\pi\) |
−0.744956 | + | 0.667113i | \(0.767530\pi\) | |||||||
\(522\) | 27.5103 | − | 5.41021i | 1.20409 | − | 0.236798i | ||||
\(523\) | −0.966637 | − | 2.65581i | −0.0422681 | − | 0.116131i | 0.916763 | − | 0.399432i | \(-0.130793\pi\) |
−0.959031 | + | 0.283301i | \(0.908570\pi\) | |||||||
\(524\) | − | 15.1276i | − | 0.660853i | ||||||
\(525\) | 0.117254 | + | 0.245135i | 0.00511738 | + | 0.0106986i | ||||
\(526\) | 5.25045 | + | 14.4255i | 0.228931 | + | 0.628982i | ||||
\(527\) | 31.2583 | + | 11.3771i | 1.36163 | + | 0.495594i | ||||
\(528\) | −1.26445 | − | 4.54007i | −0.0550280 | − | 0.197581i | ||||
\(529\) | 37.4835 | + | 13.6429i | 1.62972 | + | 0.593169i | ||||
\(530\) | −1.96749 | + | 5.40564i | −0.0854624 | + | 0.234806i | ||||
\(531\) | 12.2730 | + | 1.91622i | 0.532604 | + | 0.0831570i | ||||
\(532\) | 8.27688 | − | 6.53727i | 0.358848 | − | 0.283427i | ||||
\(533\) | 6.11558 | + | 3.53083i | 0.264895 | + | 0.152937i | ||||
\(534\) | −28.8794 | − | 13.1228i | −1.24973 | − | 0.567880i | ||||
\(535\) | 1.09187 | + | 1.30124i | 0.0472055 | + | 0.0562573i | ||||
\(536\) | −0.539972 | − | 0.0952116i | −0.0233232 | − | 0.00411251i | ||||
\(537\) | 5.34083 | + | 2.42688i | 0.230474 | + | 0.104727i | ||||
\(538\) | −16.9549 | − | 14.2268i | −0.730977 | − | 0.613362i | ||||
\(539\) | 2.69840 | + | 1.55792i | 0.116228 | + | 0.0671045i | ||||
\(540\) | −2.65774 | + | 11.2332i | −0.114371 | + | 0.483402i | ||||
\(541\) | −4.53832 | + | 1.65181i | −0.195118 | + | 0.0710170i | −0.437731 | − | 0.899106i | \(-0.644218\pi\) |
0.242613 | + | 0.970123i | \(0.421995\pi\) | |||||||
\(542\) | 2.35314 | − | 13.3453i | 0.101076 | − | 0.573231i | ||||
\(543\) | 28.9429 | + | 19.8451i | 1.24206 | + | 0.851636i | ||||
\(544\) | − | 4.74150i | − | 0.203290i | ||||||
\(545\) | −9.26765 | + | 3.37315i | −0.396983 | + | 0.144490i | ||||
\(546\) | 1.72449 | + | 2.41203i | 0.0738013 | + | 0.103226i | ||||
\(547\) | −12.8933 | − | 35.4241i | −0.551279 | − | 1.51463i | −0.831966 | − | 0.554827i | \(-0.812785\pi\) |
0.280687 | − | 0.959799i | \(-0.409438\pi\) | |||||||
\(548\) | −13.8578 | + | 2.44350i | −0.591976 | + | 0.104381i | ||||
\(549\) | 0.398187 | + | 20.2609i | 0.0169942 | + | 0.864715i | ||||
\(550\) | − | 0.176420i | − | 0.00752259i | ||||||
\(551\) | −5.88239 | − | 40.3102i | −0.250598 | − | 1.71727i | ||||
\(552\) | −11.3284 | − | 7.76750i | −0.482170 | − | 0.330607i | ||||
\(553\) | −5.66941 | + | 0.999670i | −0.241088 | + | 0.0425103i | ||||
\(554\) | 14.3082 | − | 12.0060i | 0.607897 | − | 0.510086i | ||||
\(555\) | 31.1728 | − | 8.68187i | 1.32321 | − | 0.368525i | ||||
\(556\) | −1.13332 | − | 6.42739i | −0.0480636 | − | 0.272582i | ||||
\(557\) | −22.2059 | − | 3.91550i | −0.940894 | − | 0.165905i | −0.317893 | − | 0.948127i | \(-0.602975\pi\) |
−0.623000 | + | 0.782222i | \(0.714086\pi\) | |||||||
\(558\) | −19.6323 | + | 7.58565i | −0.831100 | + | 0.321126i | ||||
\(559\) | 0.859103 | − | 0.496004i | 0.0363362 | − | 0.0209787i | ||||
\(560\) | −5.29372 | − | 0.933426i | −0.223701 | − | 0.0394444i | ||||
\(561\) | 21.5267 | − | 5.99537i | 0.908859 | − | 0.253125i | ||||
\(562\) | −8.61812 | + | 14.9270i | −0.363534 | + | 0.629659i | ||||
\(563\) | −15.6527 | −0.659682 | −0.329841 | − | 0.944036i | \(-0.606995\pi\) | ||||
−0.329841 | + | 0.944036i | \(0.606995\pi\) | |||||||
\(564\) | −2.80917 | − | 10.0865i | −0.118287 | − | 0.424718i | ||||
\(565\) | 15.2572 | − | 2.69026i | 0.641877 | − | 0.113180i | ||||
\(566\) | 20.3975 | + | 17.1156i | 0.857372 | + | 0.719420i | ||||
\(567\) | 2.93600 | − | 21.5783i | 0.123301 | − | 0.906205i | ||||
\(568\) | −4.90412 | − | 1.78496i | −0.205772 | − | 0.0748951i | ||||
\(569\) | −20.7950 | + | 36.0179i | −0.871770 | + | 1.50995i | −0.0116060 | + | 0.999933i | \(0.503694\pi\) |
−0.860164 | + | 0.510017i | \(0.829639\pi\) | |||||||
\(570\) | 16.1115 | + | 4.66088i | 0.674836 | + | 0.195223i | ||||
\(571\) | 15.5016 | + | 26.8496i | 0.648723 | + | 1.12362i | 0.983428 | + | 0.181298i | \(0.0580298\pi\) |
−0.334706 | + | 0.942323i | \(0.608637\pi\) | |||||||
\(572\) | −0.334282 | − | 1.89581i | −0.0139770 | − | 0.0792677i | ||||
\(573\) | −17.0872 | + | 1.66426i | −0.713828 | + | 0.0695254i | ||||
\(574\) | 22.6952 | − | 8.26036i | 0.947278 | − | 0.344781i | ||||
\(575\) | −0.330507 | − | 0.393882i | −0.0137831 | − | 0.0164260i | ||||
\(576\) | 1.97315 | + | 2.25980i | 0.0822145 | + | 0.0941583i | ||||
\(577\) | −10.6373 | + | 18.4244i | −0.442837 | + | 0.767017i | −0.997899 | − | 0.0647926i | \(-0.979361\pi\) |
0.555061 | + | 0.831809i | \(0.312695\pi\) | |||||||
\(578\) | 5.48179 | 0.228012 | ||||||||
\(579\) | −23.7376 | − | 6.11115i | −0.986501 | − | 0.253971i | ||||
\(580\) | −13.3454 | + | 15.9044i | −0.554138 | + | 0.660396i | ||||
\(581\) | −7.95630 | − | 4.59357i | −0.330083 | − | 0.190574i | ||||
\(582\) | 18.2309 | − | 8.72027i | 0.755694 | − | 0.361467i | ||||
\(583\) | −4.52900 | + | 5.39745i | −0.187572 | + | 0.223540i | ||||
\(584\) | 0.216441 | − | 0.181616i | 0.00895639 | − | 0.00751531i | ||||
\(585\) | −1.52529 | + | 4.46157i | −0.0630628 | + | 0.184463i | ||||
\(586\) | −4.99182 | − | 28.3100i | −0.206210 | − | 1.16948i | ||||
\(587\) | 2.62498 | + | 3.12833i | 0.108344 | + | 0.129120i | 0.817491 | − | 0.575941i | \(-0.195364\pi\) |
−0.709147 | + | 0.705061i | \(0.750920\pi\) | |||||||
\(588\) | −1.97747 | − | 0.153444i | −0.0815493 | − | 0.00632794i | ||||
\(589\) | 9.60323 | + | 29.0333i | 0.395694 | + | 1.19630i | ||||
\(590\) | −7.96602 | + | 4.59918i | −0.327956 | + | 0.189345i | ||||
\(591\) | −17.2040 | + | 1.67564i | −0.707679 | + | 0.0689264i | ||||
\(592\) | 2.87633 | − | 7.90264i | 0.118216 | − | 0.324796i | ||||
\(593\) | −6.73046 | + | 8.02105i | −0.276387 | + | 0.329385i | −0.886325 | − | 0.463064i | \(-0.846750\pi\) |
0.609938 | + | 0.792449i | \(0.291194\pi\) | |||||||
\(594\) | −7.76471 | + | 11.8156i | −0.318590 | + | 0.484801i | ||||
\(595\) | 4.42584 | − | 25.1002i | 0.181442 | − | 1.02901i | ||||
\(596\) | 6.60072 | − | 3.81093i | 0.270376 | − | 0.156102i | ||||
\(597\) | 18.5297 | − | 27.0245i | 0.758371 | − | 1.10604i | ||||
\(598\) | −4.29794 | − | 3.60640i | −0.175756 | − | 0.147477i | ||||
\(599\) | −23.5732 | − | 19.7802i | −0.963173 | − | 0.808198i | 0.0182934 | − | 0.999833i | \(-0.494177\pi\) |
−0.981466 | + | 0.191635i | \(0.938621\pi\) | |||||||
\(600\) | 0.0484584 | + | 0.101308i | 0.00197830 | + | 0.00413590i | ||||
\(601\) | 1.73100 | − | 0.999396i | 0.0706091 | − | 0.0407662i | −0.464280 | − | 0.885689i | \(-0.653687\pi\) |
0.534889 | + | 0.844922i | \(0.320353\pi\) | |||||||
\(602\) | 0.589149 | − | 3.34123i | 0.0240119 | − | 0.136178i | ||||
\(603\) | 0.850285 | + | 1.40809i | 0.0346263 | + | 0.0573420i | ||||
\(604\) | −2.76158 | + | 3.29112i | −0.112367 | + | 0.133914i | ||||
\(605\) | 2.73249 | − | 7.50747i | 0.111092 | − | 0.305222i | ||||
\(606\) | −12.7368 | − | 17.8150i | −0.517398 | − | 0.723683i | ||||
\(607\) | 37.0207 | − | 21.3739i | 1.50262 | − | 0.867541i | 0.502629 | − | 0.864502i | \(-0.332366\pi\) |
0.999995 | − | 0.00303888i | \(-0.000967308\pi\) | |||||||
\(608\) | 3.42064 | − | 2.70170i | 0.138725 | − | 0.109568i | ||||
\(609\) | 22.1496 | − | 32.3038i | 0.897547 | − | 1.30902i | ||||
\(610\) | −9.64583 | − | 11.4955i | −0.390548 | − | 0.465437i | ||||
\(611\) | −0.742661 | − | 4.21184i | −0.0300448 | − | 0.170393i | ||||
\(612\) | −10.7148 | + | 9.35567i | −0.433121 | + | 0.378180i | ||||
\(613\) | 7.55686 | − | 6.34096i | 0.305219 | − | 0.256109i | −0.477294 | − | 0.878744i | \(-0.658382\pi\) |
0.782513 | + | 0.622635i | \(0.213938\pi\) | |||||||
\(614\) | 13.4216 | − | 15.9953i | 0.541654 | − | 0.645518i | ||||
\(615\) | 31.6753 | + | 21.7187i | 1.27727 | + | 0.875781i | ||||
\(616\) | −5.70182 | − | 3.29195i | −0.229733 | − | 0.132636i | ||||
\(617\) | −7.85014 | + | 9.35543i | −0.316035 | + | 0.376636i | −0.900554 | − | 0.434744i | \(-0.856839\pi\) |
0.584519 | + | 0.811380i | \(0.301283\pi\) | |||||||
\(618\) | 8.47198 | − | 8.64012i | 0.340793 | − | 0.347556i | ||||
\(619\) | −39.4613 | −1.58608 | −0.793042 | − | 0.609167i | \(-0.791504\pi\) | ||||
−0.793042 | + | 0.609167i | \(0.791504\pi\) | |||||||
\(620\) | 7.79265 | − | 13.4973i | 0.312961 | − | 0.542064i | ||||
\(621\) | 4.79966 | + | 40.9264i | 0.192604 | + | 1.64232i | ||||
\(622\) | 6.07457 | + | 7.23939i | 0.243568 | + | 0.290273i | ||||
\(623\) | −41.6421 | + | 15.1565i | −1.66835 | + | 0.607232i | ||||
\(624\) | 0.712691 | + | 0.996838i | 0.0285305 | + | 0.0399055i | ||||
\(625\) | −4.28418 | − | 24.2968i | −0.171367 | − | 0.971872i | ||||
\(626\) | 6.55576 | + | 11.3549i | 0.262021 | + | 0.453834i | ||||
\(627\) | 16.5911 | + | 12.1138i | 0.662586 | + | 0.483779i | ||||
\(628\) | −10.6768 | + | 18.4927i | −0.426050 | + | 0.737941i | ||||
\(629\) | 37.4703 | + | 13.6381i | 1.49404 | + | 0.543786i | ||||
\(630\) | 8.33594 | + | 13.8045i | 0.332112 | + | 0.549986i | ||||
\(631\) | −13.6437 | − | 11.4484i | −0.543145 | − | 0.455753i | 0.329467 | − | 0.944167i | \(-0.393131\pi\) |
−0.872612 | + | 0.488414i | \(0.837576\pi\) | |||||||
\(632\) | −2.34304 | + | 0.413140i | −0.0932010 | + | 0.0164338i | ||||
\(633\) | 16.0282 | − | 16.3463i | 0.637062 | − | 0.649705i | ||||
\(634\) | −5.90059 | −0.234342 | ||||||||
\(635\) | −0.107945 | + | 0.186966i | −0.00428367 | + | 0.00741953i | ||||
\(636\) | 1.11821 | − | 4.34346i | 0.0443398 | − | 0.172230i | ||||
\(637\) | −0.797852 | − | 0.140683i | −0.0316120 | − | 0.00557405i | ||||
\(638\) | −22.0226 | + | 12.7147i | −0.871882 | + | 0.503381i | ||||
\(639\) | 5.64292 | + | 14.6043i | 0.223230 | + | 0.577738i | ||||
\(640\) | −2.18777 | − | 0.385763i | −0.0864793 | − | 0.0152486i | ||||
\(641\) | 1.67580 | + | 9.50396i | 0.0661903 | + | 0.375384i | 0.999852 | + | 0.0172267i | \(0.00548370\pi\) |
−0.933661 | + | 0.358157i | \(0.883405\pi\) | |||||||
\(642\) | −0.945632 | − | 0.927230i | −0.0373211 | − | 0.0365948i | ||||
\(643\) | −18.2426 | + | 15.3074i | −0.719418 | + | 0.603663i | −0.927224 | − | 0.374507i | \(-0.877812\pi\) |
0.207806 | + | 0.978170i | \(0.433368\pi\) | |||||||
\(644\) | −18.8972 | + | 3.33209i | −0.744655 | + | 0.131303i | ||||
\(645\) | 4.86707 | − | 2.32804i | 0.191641 | − | 0.0916665i | ||||
\(646\) | 12.8101 | + | 16.2190i | 0.504007 | + | 0.638127i | ||||
\(647\) | 34.9679i | 1.37473i | 0.726312 | + | 0.687365i | \(0.241233\pi\) | ||||
−0.726312 | + | 0.687365i | \(0.758767\pi\) | |||||||
\(648\) | 1.21338 | − | 8.91783i | 0.0476662 | − | 0.350325i | ||||
\(649\) | −11.0952 | + | 1.95639i | −0.435525 | + | 0.0767948i | ||||
\(650\) | 0.0156890 | + | 0.0431052i | 0.000615373 | + | 0.00169072i | ||||
\(651\) | −12.1636 | + | 26.7685i | −0.476730 | + | 1.04914i | ||||
\(652\) | 20.4901 | − | 7.45777i | 0.802452 | − | 0.292069i | ||||
\(653\) | − | 21.7829i | − | 0.852429i | −0.904622 | − | 0.426215i | \(-0.859847\pi\) | ||
0.904622 | − | 0.426215i | \(-0.140153\pi\) | |||||||
\(654\) | 6.93672 | − | 3.31801i | 0.271247 | − | 0.129744i | ||||
\(655\) | 5.83568 | − | 33.0958i | 0.228019 | − | 1.29316i | ||||
\(656\) | 9.37938 | − | 3.41382i | 0.366203 | − | 0.133287i | ||||
\(657\) | −0.837485 | − | 0.130759i | −0.0326734 | − | 0.00510139i | ||||
\(658\) | −12.6675 | − | 7.31359i | −0.493831 | − | 0.285113i | ||||
\(659\) | 9.96031 | + | 8.35769i | 0.387999 | + | 0.325569i | 0.815833 | − | 0.578288i | \(-0.196279\pi\) |
−0.427834 | + | 0.903857i | \(0.640723\pi\) | |||||||
\(660\) | −1.01493 | − | 10.4204i | −0.0395060 | − | 0.405614i | ||||
\(661\) | 25.6775 | + | 4.52764i | 0.998741 | + | 0.176105i | 0.649038 | − | 0.760756i | \(-0.275172\pi\) |
0.349703 | + | 0.936861i | \(0.386283\pi\) | |||||||
\(662\) | −3.22800 | − | 3.84698i | −0.125460 | − | 0.149517i | ||||
\(663\) | −4.72650 | + | 3.37922i | −0.183562 | + | 0.131238i | ||||
\(664\) | −3.28816 | − | 1.89842i | −0.127605 | − | 0.0736729i | ||||
\(665\) | 20.6298 | − | 11.1091i | 0.799988 | − | 0.430794i | ||||
\(666\) | −23.5338 | + | 9.09315i | −0.911916 | + | 0.352352i | ||||
\(667\) | −25.3485 | + | 69.6445i | −0.981499 | + | 2.69665i | ||||
\(668\) | 12.3318 | + | 4.48841i | 0.477132 | + | 0.173662i | ||||
\(669\) | −22.2216 | + | 22.6626i | −0.859137 | + | 0.876187i | ||||
\(670\) | −1.14461 | − | 0.416603i | −0.0442200 | − | 0.0160948i | ||||
\(671\) | −6.28633 | − | 17.2716i | −0.242681 | − | 0.666761i | ||||
\(672\) | 4.17846 | + | 0.324233i | 0.161187 | + | 0.0125076i | ||||
\(673\) | 23.6078i | 0.910013i | 0.890488 | + | 0.455006i | \(0.150363\pi\) | ||||
−0.890488 | + | 0.455006i | \(0.849637\pi\) | |||||||
\(674\) | 4.07843 | + | 11.2054i | 0.157095 | + | 0.431616i | ||||
\(675\) | 0.133321 | − | 0.309403i | 0.00513154 | − | 0.0119089i | ||||
\(676\) | −6.24973 | − | 10.8249i | −0.240374 | − | 0.416340i | ||||
\(677\) | 3.35551 | + | 5.81192i | 0.128963 | + | 0.223370i | 0.923275 | − | 0.384140i | \(-0.125502\pi\) |
−0.794312 | + | 0.607510i | \(0.792169\pi\) | |||||||
\(678\) | −11.6362 | + | 3.24078i | −0.446887 | + | 0.124462i | ||||
\(679\) | 9.65599 | − | 26.5296i | 0.370563 | − | 1.01811i | ||||
\(680\) | 1.82910 | − | 10.3733i | 0.0701426 | − | 0.397799i | ||||
\(681\) | −0.264833 | − | 2.71908i | −0.0101484 | − | 0.104195i | ||||
\(682\) | 14.6232 | − | 12.2703i | 0.559952 | − | 0.469855i | ||||
\(683\) | 21.1763 | 0.810288 | 0.405144 | − | 0.914253i | \(-0.367221\pi\) | ||||
0.405144 | + | 0.914253i | \(0.367221\pi\) | |||||||
\(684\) | −12.8547 | − | 2.39911i | −0.491513 | − | 0.0917324i | ||||
\(685\) | −31.2603 | −1.19440 | ||||||||
\(686\) | −15.0977 | + | 12.6685i | −0.576432 | + | 0.483684i | ||||
\(687\) | −22.2983 | − | 10.1323i | −0.850732 | − | 0.386573i | ||||
\(688\) | 0.243482 | − | 1.38085i | 0.00928265 | − | 0.0526445i | ||||
\(689\) | 0.626587 | − | 1.72153i | 0.0238711 | − | 0.0655852i | ||||
\(690\) | −21.7876 | − | 21.3636i | −0.829440 | − | 0.813299i | ||||
\(691\) | 12.9744 | + | 22.4723i | 0.493569 | + | 0.854886i | 0.999973 | − | 0.00741014i | \(-0.00235874\pi\) |
−0.506404 | + | 0.862297i | \(0.669025\pi\) | |||||||
\(692\) | −3.51733 | − | 6.09219i | −0.133709 | − | 0.231590i | ||||
\(693\) | 3.81139 | + | 19.3805i | 0.144783 | + | 0.736203i | ||||
\(694\) | 12.4134 | + | 34.1054i | 0.471205 | + | 1.29462i | ||||
\(695\) | − | 14.4989i | − | 0.549973i | ||||||
\(696\) | 9.15392 | − | 13.3504i | 0.346978 | − | 0.506047i | ||||
\(697\) | 16.1866 | + | 44.4723i | 0.613111 | + | 1.68451i | ||||
\(698\) | 27.1610 | + | 9.88581i | 1.02806 | + | 0.374183i | ||||
\(699\) | −20.1427 | − | 5.18565i | −0.761866 | − | 0.196139i | ||||
\(700\) | 0.147424 | + | 0.0536581i | 0.00557212 | + | 0.00202809i | ||||
\(701\) | −4.81377 | + | 13.2257i | −0.181814 | + | 0.499529i | −0.996799 | − | 0.0799534i | \(-0.974523\pi\) |
0.814985 | + | 0.579482i | \(0.196745\pi\) | |||||||
\(702\) | 0.846409 | − | 3.57745i | 0.0319457 | − | 0.135022i | ||||
\(703\) | 11.5117 | + | 34.8031i | 0.434172 | + | 1.31262i | ||||
\(704\) | −2.35643 | − | 1.36049i | −0.0888113 | − | 0.0512753i | ||||
\(705\) | −2.25482 | − | 23.1506i | −0.0849215 | − | 0.871903i | ||||
\(706\) | 9.09375 | + | 10.8375i | 0.342248 | + | 0.407875i | ||||
\(707\) | −30.1293 | − | 5.31261i | −1.13313 | − | 0.199801i | ||||
\(708\) | 5.83399 | − | 4.17103i | 0.219255 | − | 0.156757i | ||||
\(709\) | −3.24458 | − | 2.72253i | −0.121853 | − | 0.102247i | 0.579825 | − | 0.814741i | \(-0.303121\pi\) |
−0.701678 | + | 0.712494i | \(0.747565\pi\) | |||||||
\(710\) | −10.0405 | − | 5.79691i | −0.376815 | − | 0.217554i | ||||
\(711\) | 5.55677 | + | 4.47960i | 0.208395 | + | 0.167998i | ||||
\(712\) | −17.2097 | + | 6.26382i | −0.644961 | + | 0.234747i | ||||
\(713\) | 9.66101 | − | 54.7903i | 0.361808 | − | 2.05191i | ||||
\(714\) | −1.53735 | + | 19.8121i | −0.0575339 | + | 0.741451i | ||||
\(715\) | − | 4.27655i | − | 0.159934i | ||||||
\(716\) | 3.18269 | − | 1.15840i | 0.118943 | − | 0.0432916i | ||||
\(717\) | −12.5747 | + | 1.22475i | −0.469611 | + | 0.0457391i | ||||
\(718\) | 2.03698 | + | 5.59655i | 0.0760193 | + | 0.208861i | ||||
\(719\) | −12.1693 | + | 2.14577i | −0.453837 | + | 0.0800237i | −0.395894 | − | 0.918296i | \(-0.629565\pi\) |
−0.0579428 | + | 0.998320i | \(0.518454\pi\) | |||||||
\(720\) | 3.44505 | + | 5.70509i | 0.128389 | + | 0.212616i | ||||
\(721\) | − | 16.9047i | − | 0.629564i | ||||||
\(722\) | −4.40161 | + | 18.4831i | −0.163811 | + | 0.687871i | ||||
\(723\) | 3.58445 | − | 46.1935i | 0.133307 | − | 1.71796i | ||||
\(724\) | 19.9532 | − | 3.51828i | 0.741553 | − | 0.130756i | ||||
\(725\) | 0.464186 | − | 0.389498i | 0.0172394 | − | 0.0144656i | ||||
\(726\) | −1.55299 | + | 6.03229i | −0.0576368 | + | 0.223879i | ||||
\(727\) | 1.76356 | + | 10.0017i | 0.0654070 | + | 0.370941i | 0.999889 | + | 0.0149299i | \(0.00475251\pi\) |
−0.934482 | + | 0.356012i | \(0.884136\pi\) | |||||||
\(728\) | 1.68589 | + | 0.297268i | 0.0624832 | + | 0.0110175i | ||||
\(729\) | −22.5467 | + | 14.8542i | −0.835062 | + | 0.550155i | ||||
\(730\) | 0.543584 | − | 0.313839i | 0.0201190 | − | 0.0116157i | ||||
\(731\) | 6.54731 | + | 1.15447i | 0.242161 | + | 0.0426995i | ||||
\(732\) | 8.35396 | + | 8.19140i | 0.308771 | + | 0.302763i | ||||
\(733\) | 21.7492 | − | 37.6708i | 0.803327 | − | 1.39140i | −0.114088 | − | 0.993471i | \(-0.536395\pi\) |
0.917415 | − | 0.397932i | \(-0.130272\pi\) | |||||||
\(734\) | −25.9269 | −0.956981 | ||||||||
\(735\) | −4.26705 | − | 1.09853i | −0.157393 | − | 0.0405201i | ||||
\(736\) | −7.80979 | + | 1.37708i | −0.287873 | + | 0.0507597i | ||||
\(737\) | −1.14287 | − | 0.958984i | −0.0420982 | − | 0.0353246i | ||||
\(738\) | −26.2214 | − | 14.4596i | −0.965225 | − | 0.532264i | ||||
\(739\) | −20.7892 | − | 7.56666i | −0.764744 | − | 0.278344i | −0.0699479 | − | 0.997551i | \(-0.522283\pi\) |
−0.694796 | + | 0.719206i | \(0.744506\pi\) | |||||||
\(740\) | 9.34129 | − | 16.1796i | 0.343393 | − | 0.594774i | ||||
\(741\) | −5.13102 | − | 1.48435i | −0.188493 | − | 0.0545289i | ||||
\(742\) | −3.13285 | − | 5.42626i | −0.115011 | − | 0.199204i | ||||
\(743\) | 2.49107 | + | 14.1276i | 0.0913885 | + | 0.518290i | 0.995794 | + | 0.0916167i | \(0.0292035\pi\) |
−0.904406 | + | 0.426673i | \(0.859685\pi\) | |||||||
\(744\) | −5.02694 | + | 11.0628i | −0.184297 | + | 0.405582i | ||||
\(745\) | 15.9110 | − | 5.79113i | 0.582934 | − | 0.212170i | ||||
\(746\) | −8.83869 | − | 10.5335i | −0.323608 | − | 0.385660i | ||||
\(747\) | 2.19797 | + | 11.1764i | 0.0804196 | + | 0.408924i | ||||
\(748\) | 6.45074 | − | 11.1730i | 0.235862 | − | 0.408526i | ||||
\(749\) | −1.85016 | −0.0676035 | ||||||||
\(750\) | 5.22868 | + | 18.7739i | 0.190925 | + | 0.685526i | ||||
\(751\) | −19.2162 | + | 22.9009i | −0.701208 | + | 0.835667i | −0.992663 | − | 0.120918i | \(-0.961416\pi\) |
0.291455 | + | 0.956585i | \(0.405861\pi\) | |||||||
\(752\) | −5.23519 | − | 3.02254i | −0.190908 | − | 0.110221i | ||||
\(753\) | −0.100971 | + | 1.30123i | −0.00367959 | + | 0.0474196i | ||||
\(754\) | 4.25010 | − | 5.06508i | 0.154780 | − | 0.184459i | ||||
\(755\) | −7.31130 | + | 6.13491i | −0.266085 | + | 0.223272i | ||||
\(756\) | −7.51201 | − | 10.0822i | −0.273209 | − | 0.366687i | ||||
\(757\) | 3.87775 | + | 21.9918i | 0.140939 | + | 0.799307i | 0.970538 | + | 0.240947i | \(0.0774580\pi\) |
−0.829599 | + | 0.558360i | \(0.811431\pi\) | |||||||
\(758\) | 20.5082 | + | 24.4407i | 0.744891 | + | 0.887726i | ||||
\(759\) | −16.1271 | − | 33.7158i | −0.585376 | − | 1.22380i | ||||
\(760\) | 8.52581 | − | 4.59115i | 0.309264 | − | 0.166539i | ||||
\(761\) | 4.46023 | − | 2.57511i | 0.161683 | − | 0.0933478i | −0.416975 | − | 0.908918i | \(-0.636910\pi\) |
0.578658 | + | 0.815570i | \(0.303576\pi\) | |||||||
\(762\) | 0.0696340 | − | 0.153244i | 0.00252257 | − | 0.00555143i | ||||
\(763\) | 3.67404 | − | 10.0943i | 0.133009 | − | 0.365440i | ||||
\(764\) | −6.37130 | + | 7.59302i | −0.230506 | + | 0.274706i | ||||
\(765\) | −27.0507 | + | 16.3347i | −0.978019 | + | 0.590582i | ||||
\(766\) | 0.310678 | − | 1.76194i | 0.0112253 | − | 0.0636616i | ||||
\(767\) | 2.53694 | − | 1.46470i | 0.0916034 | − | 0.0528873i | ||||
\(768\) | 1.72686 | + | 0.133998i | 0.0623127 | + | 0.00483524i | ||||
\(769\) | 12.3995 | + | 10.4044i | 0.447138 | + | 0.375193i | 0.838373 | − | 0.545098i | \(-0.183507\pi\) |
−0.391234 | + | 0.920291i | \(0.627952\pi\) | |||||||
\(770\) | −11.2044 | − | 9.40159i | −0.403778 | − | 0.338810i | ||||
\(771\) | −23.6313 | − | 1.83371i | −0.851061 | − | 0.0660393i | ||||
\(772\) | −12.2558 | + | 7.07590i | −0.441097 | + | 0.254667i | ||||
\(773\) | 8.28337 | − | 46.9773i | 0.297932 | − | 1.68966i | −0.357109 | − | 0.934063i | \(-0.616238\pi\) |
0.655041 | − | 0.755593i | \(-0.272651\pi\) | |||||||
\(774\) | −3.60088 | + | 2.17441i | −0.129431 | + | 0.0781574i | ||||
\(775\) | −0.292386 | + | 0.348452i | −0.0105028 | + | 0.0125168i | ||||
\(776\) | 3.99060 | − | 10.9641i | 0.143254 | − | 0.393588i | ||||
\(777\) | −14.5809 | + | 32.0882i | −0.523087 | + | 1.15116i | ||||
\(778\) | −18.1712 | + | 10.4911i | −0.651468 | + | 0.376125i | ||||
\(779\) | −22.8604 | + | 37.0177i | −0.819060 | + | 1.32630i | ||||
\(780\) | 1.17466 | + | 2.45579i | 0.0420597 | + | 0.0879312i | ||||
\(781\) | −9.12782 | − | 10.8781i | −0.326619 | − | 0.389250i | ||||
\(782\) | −6.52940 | − | 37.0301i | −0.233491 | − | 1.32419i | ||||
\(783\) | −48.2313 | + | 5.65634i | −1.72365 | + | 0.202141i | ||||
\(784\) | −0.877215 | + | 0.736070i | −0.0313291 | + | 0.0262882i | ||||
\(785\) | −30.4922 | + | 36.3392i | −1.08831 | + | 1.29700i | ||||
\(786\) | −2.02707 | + | 26.1233i | −0.0723033 | + | 0.931787i | ||||
\(787\) | 39.5344 | + | 22.8252i | 1.40925 | + | 0.813630i | 0.995316 | − | 0.0966776i | \(-0.0308216\pi\) |
0.413933 | + | 0.910308i | \(0.364155\pi\) | |||||||
\(788\) | −6.41486 | + | 7.64493i | −0.228520 | + | 0.272339i | ||||
\(789\) | −7.13381 | − | 25.6144i | −0.253970 | − | 0.911896i | ||||
\(790\) | −5.28540 | −0.188046 | ||||||||
\(791\) | −8.43729 | + | 14.6138i | −0.299995 | + | 0.519607i | ||||
\(792\) | 1.57516 | + | 8.00950i | 0.0559709 | + | 0.284605i | ||||
\(793\) | 3.07191 | + | 3.66095i | 0.109087 | + | 0.130004i | ||||
\(794\) | −11.5484 | + | 4.20328i | −0.409838 | + | 0.149169i | ||||
\(795\) | 4.12193 | − | 9.07115i | 0.146190 | − | 0.321720i | ||||
\(796\) | −3.28507 | − | 18.6306i | −0.116436 | − | 0.660344i | ||||
\(797\) | −11.0400 | − | 19.1218i | −0.391056 | − | 0.677328i | 0.601533 | − | 0.798848i | \(-0.294557\pi\) |
−0.992589 | + | 0.121519i | \(0.961223\pi\) | |||||||
\(798\) | −15.1690 | + | 10.1799i | −0.536977 | + | 0.360363i | ||||
\(799\) | 14.3313 | − | 24.8226i | 0.507006 | − | 0.878161i | ||||
\(800\) | 0.0609271 | + | 0.0221757i | 0.00215410 | + | 0.000784028i | ||||
\(801\) | 48.1123 | + | 26.5310i | 1.69996 | + | 0.937428i | ||||
\(802\) | −4.74755 | − | 3.98366i | −0.167642 | − | 0.140668i | ||||
\(803\) | 0.757114 | − | 0.133500i | 0.0267180 | − | 0.00471110i | ||||
\(804\) | 0.919697 | + | 0.236772i | 0.0324352 | + | 0.00835031i | ||||
\(805\) | −42.6282 | −1.50245 | ||||||||
\(806\) | −2.48172 | + | 4.29847i | −0.0874150 | + | 0.151407i | ||||
\(807\) | 27.3723 | + | 26.8397i | 0.963551 | + | 0.944801i | ||||
\(808\) | −12.4517 | − | 2.19558i | −0.438051 | − | 0.0772402i | ||||
\(809\) | 24.3814 | − | 14.0766i | 0.857203 | − | 0.494906i | −0.00587175 | − | 0.999983i | \(-0.501869\pi\) |
0.863075 | + | 0.505076i | \(0.168536\pi\) | |||||||
\(810\) | 6.09478 | − | 19.0421i | 0.214149 | − | 0.669071i | ||||
\(811\) | −9.49909 | − | 1.67495i | −0.333558 | − | 0.0588153i | 0.00436094 | − | 0.999990i | \(-0.498612\pi\) |
−0.337919 | + | 0.941175i | \(0.609723\pi\) | |||||||
\(812\) | −3.92683 | − | 22.2702i | −0.137805 | − | 0.781530i | ||||
\(813\) | −5.85179 | + | 22.7302i | −0.205231 | + | 0.797183i | ||||
\(814\) | 17.5293 | − | 14.7088i | 0.614401 | − | 0.515544i | ||||
\(815\) | 47.7045 | − | 8.41159i | 1.67102 | − | 0.294645i | ||||
\(816\) | −0.635352 | + | 8.18790i | −0.0222418 | + | 0.286634i | ||||
\(817\) | 2.89779 | + | 5.38122i | 0.101381 | + | 0.188265i | ||||
\(818\) | − | 18.7469i | − | 0.655470i | ||||||
\(819\) | −2.65474 | − | 4.39632i | −0.0927642 | − | 0.153620i | ||||
\(820\) | 21.8369 | − | 3.85043i | 0.762577 | − | 0.134463i | ||||
\(821\) | 10.9275 | + | 30.0231i | 0.381372 | + | 1.04781i | 0.970779 | + | 0.239975i | \(0.0771394\pi\) |
−0.589407 | + | 0.807837i | \(0.700638\pi\) | |||||||
\(822\) | 24.2579 | − | 2.36267i | 0.846091 | − | 0.0824075i | ||||
\(823\) | −15.7280 | + | 5.72453i | −0.548244 | + | 0.199545i | −0.601266 | − | 0.799049i | \(-0.705337\pi\) |
0.0530221 | + | 0.998593i | \(0.483115\pi\) | |||||||
\(824\) | − | 6.98632i | − | 0.243380i | ||||||
\(825\) | −0.0236400 | + | 0.304653i | −0.000823040 | + | 0.0106067i | ||||
\(826\) | 1.73976 | − | 9.86667i | 0.0605340 | − | 0.343305i | ||||
\(827\) | −14.0633 | + | 5.11864i | −0.489030 | + | 0.177992i | −0.574754 | − | 0.818327i | \(-0.694902\pi\) |
0.0857234 | + | 0.996319i | \(0.472680\pi\) | |||||||
\(828\) | 18.5218 | + | 14.9314i | 0.643676 | + | 0.518901i | ||||
\(829\) | −47.3954 | − | 27.3638i | −1.64611 | − | 0.950382i | −0.978597 | − | 0.205785i | \(-0.934025\pi\) |
−0.667514 | − | 0.744598i | \(-0.732641\pi\) | |||||||
\(830\) | −6.46140 | − | 5.42176i | −0.224278 | − | 0.188192i | ||||
\(831\) | −26.3170 | + | 18.8154i | −0.912928 | + | 0.652699i | ||||
\(832\) | 0.696739 | + | 0.122854i | 0.0241551 | + | 0.00425919i | ||||
\(833\) | −3.49008 | − | 4.15931i | −0.120924 | − | 0.144112i | ||||
\(834\) | 1.09583 | + | 11.2511i | 0.0379455 | + | 0.389593i | ||||
\(835\) | 25.2477 | + | 14.5768i | 0.873733 | + | 0.504450i | ||||
\(836\) | 11.7361 | − | 1.71264i | 0.405903 | − | 0.0592327i | ||||
\(837\) | 34.9186 | − | 10.4687i | 1.20696 | − | 0.361850i | ||||
\(838\) | −4.25029 | + | 11.6776i | −0.146824 | + | 0.403395i | ||||
\(839\) | −12.7286 | − | 4.63283i | −0.439440 | − | 0.159943i | 0.112819 | − | 0.993616i | \(-0.464012\pi\) |
−0.552259 | + | 0.833673i | \(0.686234\pi\) | |||||||
\(840\) | 9.01644 | + | 2.32124i | 0.311097 | + | 0.0800905i | ||||
\(841\) | −54.8242 | − | 19.9544i | −1.89049 | − | 0.688083i | ||||
\(842\) | −1.20837 | − | 3.31996i | −0.0416431 | − | 0.114414i | ||||
\(843\) | 16.8825 | − | 24.6221i | 0.581464 | − | 0.848029i | ||||
\(844\) | − | 13.2174i | − | 0.454963i | ||||||
\(845\) | −9.49716 | − | 26.0932i | −0.326712 | − | 0.897634i | ||||
\(846\) | 3.49947 | + | 17.7944i | 0.120314 | + | 0.611783i | ||||
\(847\) | 4.35097 | + | 7.53610i | 0.149501 | + | 0.258943i | ||||
\(848\) | −1.29473 | − | 2.24255i | −0.0444614 | − | 0.0770094i | ||||
\(849\) | −32.9302 | − | 32.2894i | −1.13016 | − | 1.10817i | ||||
\(850\) | −0.105146 | + | 0.288886i | −0.00360647 | + | 0.00990870i | ||||
\(851\) | 11.5810 | − | 65.6788i | 0.396990 | − | 2.25144i | ||||
\(852\) | 8.22955 | + | 3.73951i | 0.281940 | + | 0.128114i | ||||
\(853\) | 22.4305 | − | 18.8214i | 0.768004 | − | 0.644432i | −0.172193 | − | 0.985063i | \(-0.555085\pi\) |
0.940197 | + | 0.340631i | \(0.110641\pi\) | |||||||
\(854\) | 16.3448 | 0.559309 | ||||||||
\(855\) | −27.1978 | − | 10.2076i | −0.930143 | − | 0.349093i | ||||
\(856\) | −0.764630 | −0.0261345 | ||||||||
\(857\) | 39.7280 | − | 33.3358i | 1.35708 | − | 1.13873i | 0.380212 | − | 0.924899i | \(-0.375851\pi\) |
0.976871 | − | 0.213828i | \(-0.0685934\pi\) | |||||||
\(858\) | 0.323224 | + | 3.31859i | 0.0110347 | + | 0.113295i | ||||
\(859\) | −6.92548 | + | 39.2763i | −0.236294 | + | 1.34009i | 0.603577 | + | 0.797305i | \(0.293742\pi\) |
−0.839871 | + | 0.542786i | \(0.817369\pi\) | |||||||
\(860\) | 1.06537 | − | 2.92707i | 0.0363287 | − | 0.0998122i | ||||
\(861\) | −40.2982 | + | 11.2234i | −1.37336 | + | 0.382492i | ||||
\(862\) | 10.0427 | + | 17.3945i | 0.342055 | + | 0.592457i | ||||
\(863\) | 26.6811 | + | 46.2130i | 0.908235 | + | 1.57311i | 0.816515 | + | 0.577324i | \(0.195903\pi\) |
0.0917200 | + | 0.995785i | \(0.470764\pi\) | |||||||
\(864\) | −3.10454 | − | 4.16675i | −0.105619 | − | 0.141756i | ||||
\(865\) | −5.34497 | − | 14.6852i | −0.181734 | − | 0.499311i | ||||
\(866\) | 23.0082i | 0.781850i | ||||||||
\(867\) | −9.46628 | − | 0.734549i | −0.321492 | − | 0.0249466i | ||||
\(868\) | 5.80598 | + | 15.9518i | 0.197068 | + | 0.541439i | ||||
\(869\) | −6.08328 | − | 2.21413i | −0.206361 | − | 0.0751093i | ||||
\(870\) | 25.1768 | − | 25.6765i | 0.853573 | − | 0.870514i | ||||
\(871\) | 0.364522 | + | 0.132675i | 0.0123514 | + | 0.00449553i | ||||
\(872\) | 1.51840 | − | 4.17176i | 0.0514194 | − | 0.141274i | ||||
\(873\) | −32.6507 | + | 12.6158i | −1.10506 | + | 0.426980i | ||||
\(874\) | 22.9941 | − | 25.8102i | 0.777785 | − | 0.873043i | ||||
\(875\) | 23.5779 | + | 13.6127i | 0.797080 | + | 0.460194i | ||||
\(876\) | −0.398099 | + | 0.284622i | −0.0134505 | + | 0.00961648i | ||||
\(877\) | −29.3001 | − | 34.9185i | −0.989395 | − | 1.17912i | −0.983825 | − | 0.179131i | \(-0.942672\pi\) |
−0.00556975 | − | 0.999984i | \(-0.501773\pi\) | |||||||
\(878\) | −3.81178 | − | 0.672120i | −0.128641 | − | 0.0226829i | ||||
\(879\) | 4.82668 | + | 49.5563i | 0.162800 | + | 1.67149i | ||||
\(880\) | −4.63051 | − | 3.88546i | −0.156094 | − | 0.130979i | ||||
\(881\) | 11.2839 | + | 6.51477i | 0.380165 | + | 0.219488i | 0.677890 | − | 0.735163i | \(-0.262895\pi\) |
−0.297725 | + | 0.954652i | \(0.596228\pi\) | |||||||
\(882\) | 3.39424 | + | 0.529953i | 0.114290 | + | 0.0178445i | ||||
\(883\) | −54.9495 | + | 20.0000i | −1.84920 | + | 0.673053i | −0.863542 | + | 0.504277i | \(0.831759\pi\) |
−0.985654 | + | 0.168776i | \(0.946019\pi\) | |||||||
\(884\) | −0.582511 | + | 3.30359i | −0.0195920 | + | 0.111112i | ||||
\(885\) | 14.3725 | − | 6.87471i | 0.483126 | − | 0.231091i | ||||
\(886\) | − | 20.0618i | − | 0.673988i | ||||||
\(887\) | 12.0239 | − | 4.37634i | 0.403723 | − | 0.146943i | −0.132174 | − | 0.991227i | \(-0.542196\pi\) |
0.535897 | + | 0.844283i | \(0.319974\pi\) | |||||||
\(888\) | −6.02595 | + | 13.2613i | −0.202218 | + | 0.445021i | ||||
\(889\) | −0.0804253 | − | 0.220967i | −0.00269738 | − | 0.00741098i | ||||
\(890\) | −40.0673 | + | 7.06494i | −1.34306 | + | 0.236817i | ||||
\(891\) | 14.9918 | − | 19.3635i | 0.502245 | − | 0.648700i | ||||
\(892\) | 18.3248i | 0.613559i | ||||||||
\(893\) | 26.0737 | − | 3.80489i | 0.872523 | − | 0.127326i | ||||
\(894\) | −11.9092 | + | 5.69645i | −0.398302 | + | 0.190518i | ||||
\(895\) | 7.40987 | − | 1.30656i | 0.247685 | − | 0.0436735i | ||||
\(896\) | 1.85359 | − | 1.55534i | 0.0619240 | − | 0.0519604i | ||||
\(897\) | 6.93869 | + | 6.80366i | 0.231676 | + | 0.227168i | ||||
\(898\) | 5.01694 | + | 28.4525i | 0.167418 | + | 0.949472i | ||||
\(899\) | 64.5698 | + | 11.3854i | 2.15352 | + | 0.379724i | ||||
\(900\) | −0.0701056 | − | 0.181439i | −0.00233685 | − | 0.00604796i | ||||
\(901\) | 10.6330 | − | 6.13898i | 0.354237 | − | 0.204519i | ||||
\(902\) | 26.7463 | + | 4.71610i | 0.890555 | + | 0.157029i | ||||
\(903\) | −1.46510 | + | 5.69089i | −0.0487554 | + | 0.189381i | ||||
\(904\) | −3.48694 | + | 6.03955i | −0.115974 | + | 0.200872i | ||||
\(905\) | 45.0102 | 1.49619 | ||||||||
\(906\) | 5.20986 | − | 5.31326i | 0.173086 | − | 0.176521i | ||||
\(907\) | −12.4014 | + | 2.18669i | −0.411780 | + | 0.0726080i | −0.375701 | − | 0.926741i | \(-0.622598\pi\) |
−0.0360793 | + | 0.999349i | \(0.511487\pi\) | |||||||
\(908\) | −1.20827 | − | 1.01386i | −0.0400980 | − | 0.0336462i | ||||
\(909\) | 19.6076 | + | 32.4706i | 0.650341 | + | 1.07698i | ||||
\(910\) | 3.57367 | + | 1.30071i | 0.118466 | + | 0.0431181i | ||||
\(911\) | −11.2821 | + | 19.5412i | −0.373792 | + | 0.647427i | −0.990145 | − | 0.140042i | \(-0.955276\pi\) |
0.616353 | + | 0.787470i | \(0.288609\pi\) | |||||||
\(912\) | −6.26900 | + | 4.20710i | −0.207587 | + | 0.139311i | ||||
\(913\) | −5.16554 | − | 8.94698i | −0.170955 | − | 0.296102i | ||||
\(914\) | 4.73870 | + | 26.8745i | 0.156742 | + | 0.888929i | ||||
\(915\) | 15.1166 | + | 21.1436i | 0.499740 | + | 0.698985i | ||||
\(916\) | −13.2879 | + | 4.83640i | −0.439044 | + | 0.159799i | ||||
\(917\) | 23.5287 | + | 28.0404i | 0.776985 | + | 0.925974i | ||||
\(918\) | 19.7566 | − | 14.7202i | 0.652067 | − | 0.485838i | ||||
\(919\) | 15.9735 | − | 27.6670i | 0.526919 | − | 0.912650i | −0.472589 | − | 0.881283i | \(-0.656681\pi\) |
0.999508 | − | 0.0313671i | \(-0.00998609\pi\) | |||||||
\(920\) | −17.6173 | −0.580824 | ||||||||
\(921\) | −25.3206 | + | 25.8232i | −0.834343 | + | 0.850902i | ||||
\(922\) | −10.0031 | + | 11.9212i | −0.329434 | + | 0.392604i | ||||
\(923\) | 3.19761 | + | 1.84614i | 0.105250 | + | 0.0607664i | ||||
\(924\) | 9.40513 | + | 6.44877i | 0.309406 | + | 0.212149i | ||||
\(925\) | −0.350492 | + | 0.417701i | −0.0115241 | + | 0.0137339i | ||||
\(926\) | 8.19049 | − | 6.87263i | 0.269156 | − | 0.225849i | ||||
\(927\) | −15.7877 | + | 13.7850i | −0.518535 | + | 0.452760i | ||||
\(928\) | −1.62287 | − | 9.20375i | −0.0532733 | − | 0.302128i | ||||
\(929\) | 10.0497 | + | 11.9768i | 0.329721 | + | 0.392946i | 0.905281 | − | 0.424814i | \(-0.139660\pi\) |
−0.575560 | + | 0.817759i | \(0.695216\pi\) | |||||||
\(930\) | −15.2654 | + | 22.2637i | −0.500573 | + | 0.730055i | ||||
\(931\) | 1.01200 | − | 4.88781i | 0.0331668 | − | 0.160191i | ||||
\(932\) | −10.3997 | + | 6.00430i | −0.340655 | + | 0.196677i | ||||
\(933\) | −9.51986 | − | 13.3154i | −0.311666 | − | 0.435926i | ||||
\(934\) | 9.30033 | − | 25.5525i | 0.304316 | − | 0.836102i | ||||
\(935\) | 18.4229 | − | 21.9555i | 0.602493 | − | 0.718023i | ||||
\(936\) | −1.09714 | − | 1.81690i | −0.0358613 | − | 0.0593872i | ||||
\(937\) | −0.569539 | + | 3.23001i | −0.0186060 | + | 0.105520i | −0.992696 | − | 0.120639i | \(-0.961506\pi\) |
0.974090 | + | 0.226159i | \(0.0726168\pi\) | |||||||
\(938\) | 1.14897 | − | 0.663359i | 0.0375152 | − | 0.0216594i | ||||
\(939\) | −9.79934 | − | 20.4868i | −0.319790 | − | 0.668562i | ||||
\(940\) | −10.2874 | − | 8.63216i | −0.335538 | − | 0.281550i | ||||
\(941\) | −33.4005 | − | 28.0263i | −1.08882 | − | 0.913632i | −0.0922014 | − | 0.995740i | \(-0.529390\pi\) |
−0.996623 | + | 0.0821079i | \(0.973835\pi\) | |||||||
\(942\) | 20.9153 | − | 30.5037i | 0.681458 | − | 0.993865i | ||||
\(943\) | 68.5499 | − | 39.5773i | 2.23229 | − | 1.28881i | ||||
\(944\) | 0.719002 | − | 4.07766i | 0.0234015 | − | 0.132717i | ||||
\(945\) | −12.5452 | − | 24.9555i | −0.408096 | − | 0.811802i | ||||
\(946\) | 2.45238 | − | 2.92263i | 0.0797337 | − | 0.0950230i | ||||
\(947\) | −6.46807 | + | 17.7709i | −0.210184 | + | 0.577476i | −0.999325 | − | 0.0367365i | \(-0.988304\pi\) |
0.789141 | + | 0.614212i | \(0.210526\pi\) | |||||||
\(948\) | 4.10145 | − | 0.399473i | 0.133209 | − | 0.0129743i | ||||
\(949\) | −0.173115 | + | 0.0999480i | −0.00561955 | + | 0.00324445i | ||||
\(950\) | −0.268322 | + | 0.0887519i | −0.00870552 | + | 0.00287949i | ||||
\(951\) | 10.1895 | + | 0.790668i | 0.330417 | + | 0.0256392i | ||||
\(952\) | 7.37466 | + | 8.78877i | 0.239014 | + | 0.284846i | ||||
\(953\) | −7.81368 | − | 44.3136i | −0.253110 | − | 1.43546i | −0.800878 | − | 0.598827i | \(-0.795634\pi\) |
0.547769 | − | 0.836630i | \(-0.315477\pi\) | |||||||
\(954\) | −2.51300 | + | 7.35071i | −0.0813615 | + | 0.237988i | ||||
\(955\) | −16.8681 | + | 14.1540i | −0.545838 | + | 0.458012i | ||||
\(956\) | −4.68873 | + | 5.58781i | −0.151644 | + | 0.180723i | ||||
\(957\) | 39.7337 | − | 19.0056i | 1.28441 | − | 0.614364i | ||||
\(958\) | 26.7653 | + | 15.4529i | 0.864747 | + | 0.499262i | ||||
\(959\) | 21.8861 | − | 26.0829i | 0.706740 | − | 0.842260i | ||||
\(960\) | 3.72628 | + | 0.959317i | 0.120265 | + | 0.0309618i | ||||
\(961\) | −18.2186 | −0.587697 | ||||||||
\(962\) | −2.97492 | + | 5.15271i | −0.0959152 | + | 0.166130i | ||||
\(963\) | 1.50873 | + | 1.72791i | 0.0486180 | + | 0.0556811i | ||||
\(964\) | −17.1946 | − | 20.4917i | −0.553800 | − | 0.659993i | ||||
\(965\) | −29.5426 | + | 10.7526i | −0.951009 | + | 0.346139i | ||||
\(966\) | 33.0794 | − | 3.22186i | 1.06431 | − | 0.103662i | ||||
\(967\) | −0.336492 | − | 1.90834i | −0.0108209 | − | 0.0613682i | 0.978919 | − | 0.204248i | \(-0.0654749\pi\) |
−0.989740 | + | 0.142880i | \(0.954364\pi\) | |||||||
\(968\) | 1.79815 | + | 3.11449i | 0.0577949 | + | 0.100104i | ||||
\(969\) | −19.9479 | − | 29.7244i | −0.640820 | − | 0.954886i | ||||
\(970\) | 12.9601 | − | 22.4475i | 0.416123 | − | 0.720745i | ||||
\(971\) | −4.16555 | − | 1.51614i | −0.133679 | − | 0.0486551i | 0.274314 | − | 0.961640i | \(-0.411549\pi\) |
−0.407993 | + | 0.912985i | \(0.633771\pi\) | |||||||
\(972\) | −3.29031 | + | 15.2373i | −0.105537 | + | 0.488735i | ||||
\(973\) | 12.0975 | + | 10.1510i | 0.387828 | + | 0.325427i | ||||
\(974\) | −2.45988 | + | 0.433743i | −0.0788195 | + | 0.0138980i | ||||
\(975\) | −0.0213167 | − | 0.0765389i | −0.000682680 | − | 0.00245121i | ||||
\(976\) | 6.75494 | 0.216220 | ||||||||
\(977\) | 4.57419 | − | 7.92272i | 0.146341 | − | 0.253470i | −0.783531 | − | 0.621352i | \(-0.786584\pi\) |
0.929873 | + | 0.367882i | \(0.119917\pi\) | |||||||
\(978\) | −36.3828 | + | 10.1329i | −1.16339 | + | 0.324014i | ||||
\(979\) | −49.0753 | − | 8.65331i | −1.56845 | − | 0.276561i | ||||
\(980\) | −2.20310 | + | 1.27196i | −0.0703753 | + | 0.0406312i | ||||
\(981\) | −12.4234 | + | 4.80022i | −0.396647 | + | 0.153259i | ||||
\(982\) | −37.6956 | − | 6.64675i | −1.20292 | − | 0.212106i | ||||
\(983\) | 2.57344 | + | 14.5947i | 0.0820799 | + | 0.465498i | 0.997949 | + | 0.0640203i | \(0.0203923\pi\) |
−0.915869 | + | 0.401478i | \(0.868497\pi\) | |||||||
\(984\) | −16.6543 | + | 4.63836i | −0.530920 | + | 0.147866i | ||||
\(985\) | −16.9834 | + | 14.2507i | −0.541136 | + | 0.454067i | ||||
\(986\) | 43.6396 | − | 7.69483i | 1.38977 | − | 0.245053i | ||||
\(987\) | 20.8950 | + | 14.3270i | 0.665095 | + | 0.456032i | ||||
\(988\) | −2.71521 | + | 1.46214i | −0.0863824 | + | 0.0465169i | ||||
\(989\) | − | 11.1195i | − | 0.353578i | ||||||
\(990\) | 0.356320 | + | 18.1306i | 0.0113246 | + | 0.576228i | ||||
\(991\) | 22.0288 | − | 3.88428i | 0.699769 | − | 0.123388i | 0.187565 | − | 0.982252i | \(-0.439940\pi\) |
0.512204 | + | 0.858864i | \(0.328829\pi\) | |||||||
\(992\) | 2.39948 | + | 6.59250i | 0.0761834 | + | 0.209312i | ||||
\(993\) | 5.05882 | + | 7.07575i | 0.160537 | + | 0.224542i | ||||
\(994\) | 11.8664 | − | 4.31903i | 0.376381 | − | 0.136991i | ||||
\(995\) | − | 42.0267i | − | 1.33234i | ||||||
\(996\) | 5.42380 | + | 3.71891i | 0.171860 | + | 0.117838i | ||||
\(997\) | −8.43692 | + | 47.8481i | −0.267200 | + | 1.51537i | 0.495497 | + | 0.868610i | \(0.334986\pi\) |
−0.762697 | + | 0.646756i | \(0.776125\pi\) | |||||||
\(998\) | −26.3243 | + | 9.58126i | −0.833281 | + | 0.303290i | ||||
\(999\) | 41.8580 | − | 12.5491i | 1.32433 | − | 0.397036i |
(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 | 342.2.x.b.281.7 | yes | 48 | |
9.5 | odd | 6 | 342.2.bf.b.167.8 | yes | 48 | ||
19.14 | odd | 18 | 342.2.bf.b.299.8 | yes | 48 | ||
171.14 | even | 18 | inner | 342.2.x.b.185.7 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
342.2.x.b.185.7 | ✓ | 48 | 171.14 | even | 18 | inner | |
342.2.x.b.281.7 | yes | 48 | 1.1 | even | 1 | trivial | |
342.2.bf.b.167.8 | yes | 48 | 9.5 | odd | 6 | ||
342.2.bf.b.299.8 | yes | 48 | 19.14 | odd | 18 |