Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 47.15 | ||
Character | \(\chi\) | \(=\) | 175.47 |
Dual form | 175.2.x.a.108.15 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0938876 | − | 1.79148i | 0.0663886 | − | 1.26677i | −0.738871 | − | 0.673847i | \(-0.764641\pi\) |
0.805259 | − | 0.592923i | \(-0.202026\pi\) | |||||||
\(3\) | −2.61479 | + | 2.11742i | −1.50965 | + | 1.22249i | −0.605080 | + | 0.796164i | \(0.706859\pi\) |
−0.904570 | + | 0.426326i | \(0.859808\pi\) | |||||||
\(4\) | −1.21155 | − | 0.127339i | −0.605776 | − | 0.0636696i | ||||
\(5\) | 1.96760 | − | 1.06233i | 0.879937 | − | 0.475090i | ||||
\(6\) | 3.54782 | + | 4.88315i | 1.44839 | + | 1.99354i | ||||
\(7\) | −1.70162 | − | 2.02595i | −0.643152 | − | 0.765738i | ||||
\(8\) | 0.219393 | − | 1.38519i | 0.0775670 | − | 0.489739i | ||||
\(9\) | 1.72995 | − | 8.13875i | 0.576648 | − | 2.71292i | ||||
\(10\) | −1.71842 | − | 3.62466i | −0.543412 | − | 1.14622i | ||||
\(11\) | 2.72413 | − | 0.579032i | 0.821357 | − | 0.174585i | 0.221979 | − | 0.975051i | \(-0.428748\pi\) |
0.599377 | + | 0.800467i | \(0.295415\pi\) | |||||||
\(12\) | 3.43759 | − | 2.23239i | 0.992346 | − | 0.644437i | ||||
\(13\) | 0.649129 | − | 1.27399i | 0.180036 | − | 0.353341i | −0.783298 | − | 0.621647i | \(-0.786464\pi\) |
0.963334 | + | 0.268306i | \(0.0864639\pi\) | |||||||
\(14\) | −3.78922 | + | 2.85821i | −1.01271 | + | 0.763889i | ||||
\(15\) | −2.89546 | + | 6.94401i | −0.747604 | + | 1.79293i | ||||
\(16\) | −4.84416 | − | 1.02966i | −1.21104 | − | 0.257414i | ||||
\(17\) | 1.22658 | − | 0.470838i | 0.297488 | − | 0.114195i | −0.205046 | − | 0.978752i | \(-0.565734\pi\) |
0.502534 | + | 0.864557i | \(0.332401\pi\) | |||||||
\(18\) | −14.4180 | − | 3.86330i | −3.39836 | − | 0.910588i | ||||
\(19\) | 0.229521 | + | 2.18375i | 0.0526558 | + | 0.500986i | 0.988787 | + | 0.149335i | \(0.0477132\pi\) |
−0.936131 | + | 0.351652i | \(0.885620\pi\) | |||||||
\(20\) | −2.51913 | + | 1.03652i | −0.563294 | + | 0.231773i | ||||
\(21\) | 8.73917 | + | 1.69441i | 1.90704 | + | 0.369750i | ||||
\(22\) | −0.781564 | − | 4.93460i | −0.166630 | − | 1.05206i | ||||
\(23\) | −1.79534 | − | 0.0940899i | −0.374355 | − | 0.0196191i | −0.135769 | − | 0.990741i | \(-0.543350\pi\) |
−0.238586 | + | 0.971121i | \(0.576684\pi\) | |||||||
\(24\) | 2.35936 | + | 4.08653i | 0.481602 | + | 0.834159i | ||||
\(25\) | 2.74289 | − | 4.18049i | 0.548579 | − | 0.836099i | ||||
\(26\) | −2.22138 | − | 1.28252i | −0.435649 | − | 0.251522i | ||||
\(27\) | 8.12718 | + | 15.9505i | 1.56408 | + | 3.06967i | ||||
\(28\) | 1.80362 | + | 2.67123i | 0.340852 | + | 0.504815i | ||||
\(29\) | −1.22410 | + | 1.68484i | −0.227311 | + | 0.312866i | −0.907404 | − | 0.420259i | \(-0.861939\pi\) |
0.680094 | + | 0.733125i | \(0.261939\pi\) | |||||||
\(30\) | 12.1682 | + | 5.83912i | 2.22160 | + | 1.06607i | ||||
\(31\) | 1.74585 | − | 3.92124i | 0.313563 | − | 0.704275i | −0.686168 | − | 0.727443i | \(-0.740709\pi\) |
0.999732 | + | 0.0231680i | \(0.00737526\pi\) | |||||||
\(32\) | −1.57345 | + | 5.87221i | −0.278150 | + | 1.03807i | ||||
\(33\) | −5.89698 | + | 7.28217i | −1.02653 | + | 1.26766i | ||||
\(34\) | −0.728339 | − | 2.24160i | −0.124909 | − | 0.384430i | ||||
\(35\) | −5.50035 | − | 2.17858i | −0.929728 | − | 0.368246i | ||||
\(36\) | −3.13230 | + | 9.64024i | −0.522050 | + | 1.60671i | ||||
\(37\) | 0.0698212 | + | 0.107515i | 0.0114785 | + | 0.0176754i | 0.844363 | − | 0.535771i | \(-0.179979\pi\) |
−0.832885 | + | 0.553446i | \(0.813312\pi\) | |||||||
\(38\) | 3.93370 | − | 0.206156i | 0.638130 | − | 0.0334430i | ||||
\(39\) | 1.00022 | + | 4.70569i | 0.160164 | + | 0.753513i | ||||
\(40\) | −1.03986 | − | 2.95857i | −0.164416 | − | 0.467791i | ||||
\(41\) | −6.08777 | + | 1.97804i | −0.950749 | + | 0.308917i | −0.743020 | − | 0.669269i | \(-0.766607\pi\) |
−0.207729 | + | 0.978186i | \(0.566607\pi\) | |||||||
\(42\) | 3.85600 | − | 15.4970i | 0.594993 | − | 2.39124i | ||||
\(43\) | 2.62278 | − | 2.62278i | 0.399970 | − | 0.399970i | −0.478253 | − | 0.878222i | \(-0.658730\pi\) |
0.878222 | + | 0.478253i | \(0.158730\pi\) | |||||||
\(44\) | −3.37416 | + | 0.354639i | −0.508674 | + | 0.0534638i | ||||
\(45\) | −5.24223 | − | 17.8516i | −0.781466 | − | 2.66116i | ||||
\(46\) | −0.337121 | + | 3.20749i | −0.0497058 | + | 0.472919i | ||||
\(47\) | −2.63321 | + | 6.85976i | −0.384094 | + | 1.00060i | 0.596162 | + | 0.802864i | \(0.296692\pi\) |
−0.980256 | + | 0.197734i | \(0.936642\pi\) | |||||||
\(48\) | 14.8467 | − | 7.56475i | 2.14293 | − | 1.09188i | ||||
\(49\) | −1.20897 | + | 6.89481i | −0.172711 | + | 0.984973i | ||||
\(50\) | −7.23176 | − | 5.30634i | −1.02273 | − | 0.750430i | ||||
\(51\) | −2.21028 | + | 3.82831i | −0.309501 | + | 0.536071i | ||||
\(52\) | −0.948683 | + | 1.46084i | −0.131559 | + | 0.202582i | ||||
\(53\) | 7.79381 | + | 9.62456i | 1.07056 | + | 1.32203i | 0.943952 | + | 0.330082i | \(0.107076\pi\) |
0.126610 | + | 0.991953i | \(0.459590\pi\) | |||||||
\(54\) | 29.3381 | − | 13.0621i | 3.99241 | − | 1.77753i | ||||
\(55\) | 4.74488 | − | 4.03324i | 0.639799 | − | 0.543842i | ||||
\(56\) | −3.17965 | + | 1.91259i | −0.424899 | + | 0.255580i | ||||
\(57\) | −5.22405 | − | 5.22405i | −0.691943 | − | 0.691943i | ||||
\(58\) | 2.90343 | + | 2.35115i | 0.381238 | + | 0.308721i | ||||
\(59\) | 0.660191 | − | 0.733216i | 0.0859495 | − | 0.0954566i | −0.698636 | − | 0.715477i | \(-0.746209\pi\) |
0.784585 | + | 0.620021i | \(0.212876\pi\) | |||||||
\(60\) | 4.39224 | − | 8.04432i | 0.567036 | − | 1.03852i | ||||
\(61\) | 5.97461 | − | 5.37956i | 0.764971 | − | 0.688783i | −0.191213 | − | 0.981548i | \(-0.561242\pi\) |
0.956184 | + | 0.292766i | \(0.0945756\pi\) | |||||||
\(62\) | −6.86092 | − | 3.49581i | −0.871337 | − | 0.443968i | ||||
\(63\) | −19.4324 | + | 10.3443i | −2.44826 | + | 1.30326i | ||||
\(64\) | 0.952259 | + | 0.309408i | 0.119032 | + | 0.0386760i | ||||
\(65\) | −0.0761742 | − | 3.19629i | −0.00944824 | − | 0.396451i | ||||
\(66\) | 12.4922 | + | 11.2481i | 1.53769 | + | 1.38454i | ||||
\(67\) | −1.09944 | − | 2.86414i | −0.134318 | − | 0.349911i | 0.849881 | − | 0.526974i | \(-0.176674\pi\) |
−0.984199 | + | 0.177063i | \(0.943340\pi\) | |||||||
\(68\) | −1.54602 | + | 0.414254i | −0.187482 | + | 0.0502357i | ||||
\(69\) | 4.89367 | − | 3.55546i | 0.589129 | − | 0.428027i | ||||
\(70\) | −4.41929 | + | 9.64924i | −0.528207 | + | 1.15330i | ||||
\(71\) | 4.78252 | + | 3.47471i | 0.567581 | + | 0.412372i | 0.834226 | − | 0.551423i | \(-0.185915\pi\) |
−0.266645 | + | 0.963795i | \(0.585915\pi\) | |||||||
\(72\) | −10.8942 | − | 4.18189i | −1.28389 | − | 0.492840i | ||||
\(73\) | −1.03177 | − | 0.670038i | −0.120759 | − | 0.0784221i | 0.482846 | − | 0.875705i | \(-0.339603\pi\) |
−0.603605 | + | 0.797283i | \(0.706270\pi\) | |||||||
\(74\) | 0.199167 | − | 0.114989i | 0.0231527 | − | 0.0133672i | ||||
\(75\) | 1.67975 | + | 16.7390i | 0.193961 | + | 1.93285i | ||||
\(76\) | − | 2.67495i | − | 0.306838i | ||||||
\(77\) | −5.80853 | − | 4.53367i | −0.661944 | − | 0.516660i | ||||
\(78\) | 8.52407 | − | 1.35008i | 0.965160 | − | 0.152866i | ||||
\(79\) | 3.47703 | + | 7.80955i | 0.391197 | + | 0.878643i | 0.996574 | + | 0.0827041i | \(0.0263556\pi\) |
−0.605377 | + | 0.795939i | \(0.706978\pi\) | |||||||
\(80\) | −10.6252 | + | 3.12016i | −1.18793 | + | 0.348844i | ||||
\(81\) | −32.2210 | − | 14.3457i | −3.58011 | − | 1.59397i | ||||
\(82\) | 2.97205 | + | 11.0918i | 0.328208 | + | 1.22489i | ||||
\(83\) | −6.21112 | − | 0.983744i | −0.681759 | − | 0.107980i | −0.194057 | − | 0.980990i | \(-0.562165\pi\) |
−0.487702 | + | 0.873010i | \(0.662165\pi\) | |||||||
\(84\) | −10.3722 | − | 3.16570i | −1.13170 | − | 0.345406i | ||||
\(85\) | 1.91322 | − | 2.22945i | 0.207518 | − | 0.241818i | ||||
\(86\) | −4.45241 | − | 4.94491i | −0.480116 | − | 0.533223i | ||||
\(87\) | −0.366720 | − | 6.99743i | −0.0393165 | − | 0.750203i | ||||
\(88\) | −0.204415 | − | 3.90048i | −0.0217907 | − | 0.415792i | ||||
\(89\) | 2.11663 | + | 2.35076i | 0.224362 | + | 0.249180i | 0.844808 | − | 0.535070i | \(-0.179715\pi\) |
−0.620445 | + | 0.784250i | \(0.713048\pi\) | |||||||
\(90\) | −32.4730 | + | 7.71533i | −3.42295 | + | 0.813267i | ||||
\(91\) | −3.68561 | + | 0.852738i | −0.386357 | + | 0.0893913i | ||||
\(92\) | 2.16317 | + | 0.342612i | 0.225526 | + | 0.0357198i | ||||
\(93\) | 3.73786 | + | 13.9499i | 0.387598 | + | 1.44654i | ||||
\(94\) | 12.0419 | + | 5.36140i | 1.24203 | + | 0.552987i | ||||
\(95\) | 2.77148 | + | 4.05292i | 0.284348 | + | 0.415820i | ||||
\(96\) | −8.31966 | − | 18.6863i | −0.849122 | − | 1.90716i | ||||
\(97\) | 13.4042 | − | 2.12301i | 1.36099 | − | 0.215559i | 0.567113 | − | 0.823640i | \(-0.308060\pi\) |
0.793876 | + | 0.608080i | \(0.208060\pi\) | |||||||
\(98\) | 12.2384 | + | 2.81319i | 1.23627 | + | 0.284175i | ||||
\(99\) | − | 23.1727i | − | 2.32895i | ||||||
\(100\) | −3.85550 | + | 4.71561i | −0.385550 | + | 0.471561i | ||||
\(101\) | −9.71050 | + | 5.60636i | −0.966231 | + | 0.557854i | −0.898085 | − | 0.439822i | \(-0.855042\pi\) |
−0.0681459 | + | 0.997675i | \(0.521708\pi\) | |||||||
\(102\) | 6.65084 | + | 4.31911i | 0.658531 | + | 0.427655i | ||||
\(103\) | −12.2217 | − | 4.69146i | −1.20424 | − | 0.462263i | −0.328246 | − | 0.944592i | \(-0.606458\pi\) |
−0.875990 | + | 0.482329i | \(0.839791\pi\) | |||||||
\(104\) | −1.62230 | − | 1.17867i | −0.159080 | − | 0.115578i | ||||
\(105\) | 18.9952 | − | 5.95000i | 1.85374 | − | 0.580661i | ||||
\(106\) | 17.9740 | − | 13.0589i | 1.74579 | − | 1.26839i | ||||
\(107\) | 15.4822 | − | 4.14844i | 1.49672 | − | 0.401045i | 0.584720 | − | 0.811235i | \(-0.301204\pi\) |
0.912000 | + | 0.410190i | \(0.134538\pi\) | |||||||
\(108\) | −7.81538 | − | 20.3598i | −0.752035 | − | 1.95912i | ||||
\(109\) | 1.17356 | + | 1.05667i | 0.112406 | + | 0.101211i | 0.723417 | − | 0.690411i | \(-0.242570\pi\) |
−0.611011 | + | 0.791622i | \(0.709237\pi\) | |||||||
\(110\) | −6.78000 | − | 8.87904i | −0.646448 | − | 0.846583i | ||||
\(111\) | −0.410222 | − | 0.133289i | −0.0389366 | − | 0.0126513i | ||||
\(112\) | 6.15688 | + | 11.5661i | 0.581770 | + | 1.09290i | ||||
\(113\) | 18.3623 | + | 9.35606i | 1.72738 | + | 0.880144i | 0.975242 | + | 0.221138i | \(0.0709773\pi\) |
0.752138 | + | 0.659006i | \(0.229023\pi\) | |||||||
\(114\) | −9.84928 | + | 8.86833i | −0.922469 | + | 0.830595i | ||||
\(115\) | −3.63247 | + | 1.72212i | −0.338729 | + | 0.160589i | ||||
\(116\) | 1.69761 | − | 1.88539i | 0.157619 | − | 0.175054i | ||||
\(117\) | −9.24571 | − | 7.48703i | −0.854766 | − | 0.692176i | ||||
\(118\) | −1.25156 | − | 1.25156i | −0.115215 | − | 0.115215i | ||||
\(119\) | −3.04106 | − | 1.68380i | −0.278774 | − | 0.154353i | ||||
\(120\) | 8.98353 | + | 5.53422i | 0.820080 | + | 0.505203i | ||||
\(121\) | −2.96338 | + | 1.31938i | −0.269398 | + | 0.119944i | ||||
\(122\) | −9.07646 | − | 11.2085i | −0.821744 | − | 1.01477i | ||||
\(123\) | 11.7299 | − | 18.0625i | 1.05765 | − | 1.62864i | ||||
\(124\) | −2.61451 | + | 4.52847i | −0.234790 | + | 0.406669i | ||||
\(125\) | 0.955835 | − | 11.1394i | 0.0854925 | − | 0.996339i | ||||
\(126\) | 16.7071 | + | 35.7841i | 1.48839 | + | 3.18790i | ||||
\(127\) | 1.98097 | − | 1.00935i | 0.175783 | − | 0.0895657i | −0.363885 | − | 0.931444i | \(-0.618550\pi\) |
0.539668 | + | 0.841878i | \(0.318550\pi\) | |||||||
\(128\) | −3.71359 | + | 9.67424i | −0.328238 | + | 0.855090i | ||||
\(129\) | −1.30450 | + | 12.4115i | −0.114855 | + | 1.09277i | ||||
\(130\) | −5.73325 | − | 0.163627i | −0.502839 | − | 0.0143511i | ||||
\(131\) | 6.04593 | − | 0.635453i | 0.528235 | − | 0.0555198i | 0.163343 | − | 0.986569i | \(-0.447772\pi\) |
0.364893 | + | 0.931050i | \(0.381106\pi\) | |||||||
\(132\) | 8.07181 | − | 8.07181i | 0.702561 | − | 0.702561i | ||||
\(133\) | 4.03362 | − | 4.18091i | 0.349759 | − | 0.362531i | ||||
\(134\) | −5.23429 | + | 1.70072i | −0.452174 | + | 0.146920i | ||||
\(135\) | 32.9358 | + | 22.7504i | 2.83466 | + | 1.95804i | ||||
\(136\) | −0.383099 | − | 1.80234i | −0.0328505 | − | 0.154549i | ||||
\(137\) | 7.87810 | − | 0.412874i | 0.673071 | − | 0.0352742i | 0.287261 | − | 0.957852i | \(-0.407255\pi\) |
0.385810 | + | 0.922578i | \(0.373922\pi\) | |||||||
\(138\) | −5.91009 | − | 9.10074i | −0.503100 | − | 0.774706i | ||||
\(139\) | 0.106015 | − | 0.326280i | 0.00899206 | − | 0.0276747i | −0.946460 | − | 0.322822i | \(-0.895369\pi\) |
0.955452 | + | 0.295147i | \(0.0953686\pi\) | |||||||
\(140\) | 6.38654 | + | 3.33987i | 0.539761 | + | 0.282270i | ||||
\(141\) | −7.63965 | − | 23.5124i | −0.643375 | − | 1.98010i | ||||
\(142\) | 6.67390 | − | 8.24158i | 0.560061 | − | 0.691618i | ||||
\(143\) | 1.03063 | − | 3.84638i | 0.0861859 | − | 0.321650i | ||||
\(144\) | −16.7603 | + | 37.6441i | −1.39669 | + | 3.13701i | ||||
\(145\) | −0.618690 | + | 4.61549i | −0.0513794 | + | 0.383295i | ||||
\(146\) | −1.29723 | + | 1.78549i | −0.107360 | + | 0.147768i | ||||
\(147\) | −11.4380 | − | 20.5884i | −0.943387 | − | 1.69810i | ||||
\(148\) | −0.0709012 | − | 0.139151i | −0.00582804 | − | 0.0114382i | ||||
\(149\) | −16.0367 | − | 9.25881i | −1.31378 | − | 0.758511i | −0.331060 | − | 0.943610i | \(-0.607406\pi\) |
−0.982720 | + | 0.185098i | \(0.940740\pi\) | |||||||
\(150\) | 30.1453 | − | 1.43767i | 2.46135 | − | 0.117385i | ||||
\(151\) | −7.73899 | − | 13.4043i | −0.629790 | − | 1.09083i | −0.987594 | − | 0.157032i | \(-0.949808\pi\) |
0.357803 | − | 0.933797i | \(-0.383526\pi\) | |||||||
\(152\) | 3.07526 | + | 0.161168i | 0.249437 | + | 0.0130724i | ||||
\(153\) | −1.71013 | − | 10.7973i | −0.138256 | − | 0.872912i | ||||
\(154\) | −8.66735 | + | 9.98023i | −0.698435 | + | 0.804230i | ||||
\(155\) | −0.730535 | − | 9.57010i | −0.0586780 | − | 0.768689i | ||||
\(156\) | −0.612606 | − | 5.82855i | −0.0490477 | − | 0.466658i | ||||
\(157\) | 1.82818 | + | 0.489859i | 0.145904 | + | 0.0390950i | 0.331032 | − | 0.943620i | \(-0.392603\pi\) |
−0.185128 | + | 0.982714i | \(0.559270\pi\) | |||||||
\(158\) | 14.3171 | − | 5.49583i | 1.13901 | − | 0.437225i | ||||
\(159\) | −40.7584 | − | 8.66346i | −3.23235 | − | 0.687057i | ||||
\(160\) | 3.14232 | + | 13.2257i | 0.248422 | + | 1.04558i | ||||
\(161\) | 2.86437 | + | 3.79738i | 0.225744 | + | 0.299276i | ||||
\(162\) | −28.7253 | + | 56.3765i | −2.25687 | + | 4.42936i | ||||
\(163\) | 8.26033 | − | 5.36432i | 0.646999 | − | 0.420166i | −0.178991 | − | 0.983851i | \(-0.557283\pi\) |
0.825990 | + | 0.563685i | \(0.190617\pi\) | |||||||
\(164\) | 7.62753 | − | 1.62128i | 0.595610 | − | 0.126601i | ||||
\(165\) | −3.86681 | + | 20.5930i | −0.301031 | + | 1.60316i | ||||
\(166\) | −2.34551 | + | 11.0347i | −0.182047 | + | 0.856463i | ||||
\(167\) | −1.14630 | + | 7.23746i | −0.0887035 | + | 0.560052i | 0.902809 | + | 0.430041i | \(0.141501\pi\) |
−0.991513 | + | 0.130010i | \(0.958499\pi\) | |||||||
\(168\) | 4.26438 | − | 11.7337i | 0.329004 | − | 0.905272i | ||||
\(169\) | 6.43953 | + | 8.86326i | 0.495349 | + | 0.681789i | ||||
\(170\) | −3.81440 | − | 3.63682i | −0.292551 | − | 0.278932i | ||||
\(171\) | 18.1701 | + | 1.90975i | 1.38950 | + | 0.146042i | ||||
\(172\) | −3.51161 | + | 2.84365i | −0.267758 | + | 0.216826i | ||||
\(173\) | −0.967106 | + | 18.4535i | −0.0735277 | + | 1.40299i | 0.673985 | + | 0.738745i | \(0.264581\pi\) |
−0.747513 | + | 0.664247i | \(0.768752\pi\) | |||||||
\(174\) | −12.5702 | −0.952945 | ||||||||
\(175\) | −13.1369 | + | 1.55664i | −0.993053 | + | 0.117671i | ||||
\(176\) | −13.7923 | −1.03964 | ||||||||
\(177\) | −0.173737 | + | 3.31510i | −0.0130589 | + | 0.249179i | ||||
\(178\) | 4.41007 | − | 3.57120i | 0.330548 | − | 0.267673i | ||||
\(179\) | 14.7567 | + | 1.55100i | 1.10297 | + | 0.115927i | 0.638471 | − | 0.769646i | \(-0.279567\pi\) |
0.464500 | + | 0.885573i | \(0.346234\pi\) | |||||||
\(180\) | 4.07803 | + | 22.2957i | 0.303959 | + | 1.66182i | ||||
\(181\) | 6.60847 | + | 9.09578i | 0.491204 | + | 0.676084i | 0.980609 | − | 0.195972i | \(-0.0627863\pi\) |
−0.489406 | + | 0.872056i | \(0.662786\pi\) | |||||||
\(182\) | 1.18163 | + | 6.68277i | 0.0875885 | + | 0.495360i | ||||
\(183\) | −4.23158 | + | 26.7172i | −0.312808 | + | 1.97499i | ||||
\(184\) | −0.524217 | + | 2.46625i | −0.0386458 | + | 0.181814i | ||||
\(185\) | 0.251597 | + | 0.137373i | 0.0184978 | + | 0.0100999i | ||||
\(186\) | 25.3419 | − | 5.38660i | 1.85816 | − | 0.394964i | ||||
\(187\) | 3.06872 | − | 1.99285i | 0.224407 | − | 0.145732i | ||||
\(188\) | 4.06379 | − | 7.97564i | 0.296383 | − | 0.581684i | ||||
\(189\) | 18.4856 | − | 43.6070i | 1.34463 | − | 3.17194i | ||||
\(190\) | 7.52094 | − | 4.58453i | 0.545626 | − | 0.332597i | ||||
\(191\) | −8.70186 | − | 1.84964i | −0.629645 | − | 0.133835i | −0.117974 | − | 0.993017i | \(-0.537640\pi\) |
−0.511671 | + | 0.859182i | \(0.670973\pi\) | |||||||
\(192\) | −3.14510 | + | 1.20729i | −0.226978 | + | 0.0871288i | ||||
\(193\) | −15.1345 | − | 4.05528i | −1.08941 | − | 0.291905i | −0.330962 | − | 0.943644i | \(-0.607373\pi\) |
−0.758444 | + | 0.651739i | \(0.774040\pi\) | |||||||
\(194\) | −2.54486 | − | 24.2127i | −0.182710 | − | 1.73837i | ||||
\(195\) | 6.96705 | + | 8.19633i | 0.498921 | + | 0.586952i | ||||
\(196\) | 2.34272 | − | 8.19947i | 0.167337 | − | 0.585677i | ||||
\(197\) | 1.05759 | + | 6.67734i | 0.0753500 | + | 0.475741i | 0.996292 | + | 0.0860406i | \(0.0274215\pi\) |
−0.920942 | + | 0.389701i | \(0.872579\pi\) | |||||||
\(198\) | −41.5136 | − | 2.17563i | −2.95024 | − | 0.154616i | ||||
\(199\) | 5.26451 | + | 9.11840i | 0.373191 | + | 0.646387i | 0.990055 | − | 0.140684i | \(-0.0449301\pi\) |
−0.616863 | + | 0.787070i | \(0.711597\pi\) | |||||||
\(200\) | −5.18901 | − | 4.71660i | −0.366918 | − | 0.333514i | ||||
\(201\) | 8.93939 | + | 5.16116i | 0.630536 | + | 0.364040i | ||||
\(202\) | 9.13200 | + | 17.9226i | 0.642526 | + | 1.26103i | ||||
\(203\) | 5.49636 | − | 0.386972i | 0.385769 | − | 0.0271601i | ||||
\(204\) | 3.16536 | − | 4.35675i | 0.221620 | − | 0.305033i | ||||
\(205\) | −9.87695 | + | 10.3592i | −0.689836 | + | 0.723519i | ||||
\(206\) | −9.55213 | + | 21.4544i | −0.665528 | + | 1.49480i | ||||
\(207\) | −3.87162 | + | 14.4491i | −0.269096 | + | 1.00428i | ||||
\(208\) | −4.45625 | + | 5.50301i | −0.308986 | + | 0.381565i | ||||
\(209\) | 1.88971 | + | 5.81592i | 0.130714 | + | 0.402296i | ||||
\(210\) | −8.87591 | − | 34.5882i | −0.612496 | − | 2.38681i | ||||
\(211\) | −4.67742 | + | 14.3956i | −0.322007 | + | 0.991035i | 0.650767 | + | 0.759278i | \(0.274448\pi\) |
−0.972774 | + | 0.231757i | \(0.925552\pi\) | |||||||
\(212\) | −8.21703 | − | 12.6531i | −0.564348 | − | 0.869020i | ||||
\(213\) | −19.8627 | + | 1.04096i | −1.36097 | + | 0.0713254i | ||||
\(214\) | −5.97828 | − | 28.1256i | −0.408667 | − | 1.92263i | ||||
\(215\) | 2.37431 | − | 7.94684i | 0.161927 | − | 0.541970i | ||||
\(216\) | 23.8775 | − | 7.75827i | 1.62466 | − | 0.527883i | ||||
\(217\) | −10.9150 | + | 3.13545i | −0.740959 | + | 0.212848i | ||||
\(218\) | 2.00320 | − | 2.00320i | 0.135674 | − | 0.135674i | ||||
\(219\) | 4.11661 | − | 0.432673i | 0.278175 | − | 0.0292373i | ||||
\(220\) | −6.26226 | + | 4.28227i | −0.422201 | + | 0.288711i | ||||
\(221\) | 0.196364 | − | 1.86828i | 0.0132089 | − | 0.125674i | ||||
\(222\) | −0.277300 | + | 0.722392i | −0.0186112 | + | 0.0484838i | ||||
\(223\) | −20.3102 | + | 10.3485i | −1.36007 | + | 0.692990i | −0.973375 | − | 0.229218i | \(-0.926383\pi\) |
−0.386694 | + | 0.922208i | \(0.626383\pi\) | |||||||
\(224\) | 14.5743 | − | 6.80453i | 0.973783 | − | 0.454647i | ||||
\(225\) | −29.2790 | − | 29.5558i | −1.95193 | − | 1.97038i | ||||
\(226\) | 18.4852 | − | 32.0173i | 1.22962 | − | 2.12976i | ||||
\(227\) | 7.24773 | − | 11.1605i | 0.481049 | − | 0.740750i | −0.511932 | − | 0.859026i | \(-0.671070\pi\) |
0.992981 | + | 0.118276i | \(0.0377366\pi\) | |||||||
\(228\) | 5.66399 | + | 6.99444i | 0.375107 | + | 0.463218i | ||||
\(229\) | −0.872146 | + | 0.388305i | −0.0576331 | + | 0.0256599i | −0.435351 | − | 0.900261i | \(-0.643376\pi\) |
0.377718 | + | 0.925921i | \(0.376709\pi\) | |||||||
\(230\) | 2.74411 | + | 6.66919i | 0.180941 | + | 0.439753i | ||||
\(231\) | 24.7878 | − | 0.444475i | 1.63092 | − | 0.0292443i | ||||
\(232\) | 2.06526 | + | 2.06526i | 0.135591 | + | 0.135591i | ||||
\(233\) | 4.75032 | + | 3.84673i | 0.311204 | + | 0.252008i | 0.772179 | − | 0.635405i | \(-0.219167\pi\) |
−0.460975 | + | 0.887413i | \(0.652500\pi\) | |||||||
\(234\) | −14.2809 | + | 15.8606i | −0.933575 | + | 1.03684i | ||||
\(235\) | 2.10624 | + | 16.2946i | 0.137396 | + | 1.06294i | ||||
\(236\) | −0.893223 | + | 0.804262i | −0.0581439 | + | 0.0523530i | ||||
\(237\) | −25.6278 | − | 13.0580i | −1.66470 | − | 0.848209i | ||||
\(238\) | −3.30201 | + | 5.28993i | −0.214038 | + | 0.342895i | ||||
\(239\) | 2.06560 | + | 0.671155i | 0.133613 | + | 0.0434134i | 0.375060 | − | 0.927001i | \(-0.377622\pi\) |
−0.241447 | + | 0.970414i | \(0.577622\pi\) | |||||||
\(240\) | 21.1760 | − | 30.6565i | 1.36690 | − | 1.97887i | ||||
\(241\) | −15.5961 | − | 14.0428i | −1.00463 | − | 0.904575i | −0.00919128 | − | 0.999958i | \(-0.502926\pi\) |
−0.995441 | + | 0.0953831i | \(0.969592\pi\) | |||||||
\(242\) | 2.08542 | + | 5.43272i | 0.134056 | + | 0.349228i | ||||
\(243\) | 62.7520 | − | 16.8143i | 4.02554 | − | 1.07864i | ||||
\(244\) | −7.92359 | + | 5.75682i | −0.507256 | + | 0.368543i | ||||
\(245\) | 4.94581 | + | 14.8506i | 0.315976 | + | 0.948767i | ||||
\(246\) | −31.2573 | − | 22.7098i | −1.99289 | − | 1.44792i | ||||
\(247\) | 2.93106 | + | 1.12513i | 0.186499 | + | 0.0715902i | ||||
\(248\) | −5.04863 | − | 3.27862i | −0.320589 | − | 0.208193i | ||||
\(249\) | 18.3238 | − | 10.5792i | 1.16122 | − | 0.670432i | ||||
\(250\) | −19.8663 | − | 2.75821i | −1.25646 | − | 0.174445i | ||||
\(251\) | − | 17.9887i | − | 1.13544i | −0.823223 | − | 0.567718i | \(-0.807826\pi\) | ||
0.823223 | − | 0.567718i | \(-0.192174\pi\) | |||||||
\(252\) | 24.8607 | − | 10.0581i | 1.56607 | − | 0.633602i | ||||
\(253\) | −4.94523 | + | 0.783248i | −0.310904 | + | 0.0492424i | ||||
\(254\) | −1.62225 | − | 3.64364i | −0.101789 | − | 0.228622i | ||||
\(255\) | −0.281994 | + | 9.88064i | −0.0176592 | + | 0.618750i | ||||
\(256\) | 18.8120 | + | 8.37563i | 1.17575 | + | 0.523477i | ||||
\(257\) | 6.02980 | + | 22.5035i | 0.376129 | + | 1.40373i | 0.851689 | + | 0.524048i | \(0.175579\pi\) |
−0.475560 | + | 0.879683i | \(0.657755\pi\) | |||||||
\(258\) | 22.1125 | + | 3.50228i | 1.37667 | + | 0.218043i | ||||
\(259\) | 0.0990117 | − | 0.324405i | 0.00615228 | − | 0.0201575i | ||||
\(260\) | −0.314724 | + | 3.88217i | −0.0195184 | + | 0.240762i | ||||
\(261\) | 11.5948 | + | 12.8774i | 0.717702 | + | 0.797088i | ||||
\(262\) | −0.570765 | − | 10.8908i | −0.0352620 | − | 0.672838i | ||||
\(263\) | 0.346091 | + | 6.60381i | 0.0213409 | + | 0.407208i | 0.988324 | + | 0.152368i | \(0.0486898\pi\) |
−0.966983 | + | 0.254841i | \(0.917977\pi\) | |||||||
\(264\) | 8.79343 | + | 9.76610i | 0.541198 | + | 0.601062i | ||||
\(265\) | 25.5596 | + | 10.6576i | 1.57011 | + | 0.654694i | ||||
\(266\) | −7.11133 | − | 7.61869i | −0.436023 | − | 0.467132i | ||||
\(267\) | −10.5121 | − | 1.66495i | −0.643329 | − | 0.101893i | ||||
\(268\) | 0.967314 | + | 3.61006i | 0.0590881 | + | 0.220520i | ||||
\(269\) | 9.31881 | + | 4.14900i | 0.568178 | + | 0.252969i | 0.670659 | − | 0.741766i | \(-0.266011\pi\) |
−0.102481 | + | 0.994735i | \(0.532678\pi\) | |||||||
\(270\) | 43.8492 | − | 56.8679i | 2.66858 | − | 3.46087i | ||||
\(271\) | 1.50441 | + | 3.37895i | 0.0913861 | + | 0.205257i | 0.953456 | − | 0.301534i | \(-0.0974985\pi\) |
−0.862069 | + | 0.506790i | \(0.830832\pi\) | |||||||
\(272\) | −6.42653 | + | 1.01786i | −0.389665 | + | 0.0617169i | ||||
\(273\) | 7.83150 | − | 10.0337i | 0.473984 | − | 0.607267i | ||||
\(274\) | − | 14.1522i | − | 0.854968i | ||||||
\(275\) | 5.05137 | − | 12.9764i | 0.304609 | − | 0.782509i | ||||
\(276\) | −6.38169 | + | 3.68447i | −0.384132 | + | 0.221779i | ||||
\(277\) | −11.2107 | − | 7.28032i | −0.673587 | − | 0.437432i | 0.162000 | − | 0.986791i | \(-0.448205\pi\) |
−0.835587 | + | 0.549358i | \(0.814872\pi\) | |||||||
\(278\) | −0.574572 | − | 0.220558i | −0.0344605 | − | 0.0132282i | ||||
\(279\) | −28.8938 | − | 20.9925i | −1.72982 | − | 1.25679i | ||||
\(280\) | −4.22448 | + | 7.14106i | −0.252461 | + | 0.426760i | ||||
\(281\) | −17.6179 | + | 12.8001i | −1.05099 | + | 0.763592i | −0.972401 | − | 0.233314i | \(-0.925043\pi\) |
−0.0785934 | + | 0.996907i | \(0.525043\pi\) | |||||||
\(282\) | −42.8394 | + | 11.4788i | −2.55105 | + | 0.683552i | ||||
\(283\) | −7.15018 | − | 18.6269i | −0.425034 | − | 1.10725i | −0.964229 | − | 0.265070i | \(-0.914605\pi\) |
0.539195 | − | 0.842181i | \(-0.318729\pi\) | |||||||
\(284\) | −5.35181 | − | 4.81879i | −0.317572 | − | 0.285943i | ||||
\(285\) | −15.8285 | − | 4.72916i | −0.937602 | − | 0.280131i | ||||
\(286\) | −6.79396 | − | 2.20749i | −0.401735 | − | 0.130532i | ||||
\(287\) | 14.3665 | + | 8.96766i | 0.848026 | + | 0.529344i | ||||
\(288\) | 45.0705 | + | 22.9646i | 2.65580 | + | 1.35320i | ||||
\(289\) | −11.3507 | + | 10.2202i | −0.667686 | + | 0.601187i | ||||
\(290\) | 8.21048 | + | 1.54171i | 0.482136 | + | 0.0905323i | ||||
\(291\) | −30.5538 | + | 33.9335i | −1.79110 | + | 1.98922i | ||||
\(292\) | 1.16472 | + | 0.943171i | 0.0681601 | + | 0.0551949i | ||||
\(293\) | −16.9470 | − | 16.9470i | −0.990054 | − | 0.990054i | 0.00989737 | − | 0.999951i | \(-0.496850\pi\) |
−0.999951 | + | 0.00989737i | \(0.996850\pi\) | |||||||
\(294\) | −37.9576 | + | 18.5579i | −2.21373 | + | 1.08232i | ||||
\(295\) | 0.520071 | − | 2.14402i | 0.0302797 | − | 0.124830i | ||||
\(296\) | 0.164247 | − | 0.0731276i | 0.00954668 | − | 0.00425046i | ||||
\(297\) | 31.3754 | + | 38.7453i | 1.82058 | + | 2.24823i | ||||
\(298\) | −18.0927 | + | 27.8602i | −1.04808 | + | 1.61390i | ||||
\(299\) | −1.28528 | + | 2.22617i | −0.0743296 | + | 0.128743i | ||||
\(300\) | 0.0964201 | − | 20.4940i | 0.00556682 | − | 1.18322i | ||||
\(301\) | −9.77659 | − | 0.850652i | −0.563513 | − | 0.0490308i | ||||
\(302\) | −24.7402 | + | 12.6058i | −1.42364 | + | 0.725381i | ||||
\(303\) | 13.5199 | − | 35.2206i | 0.776700 | − | 2.02337i | ||||
\(304\) | 1.13668 | − | 10.8148i | 0.0651928 | − | 0.620268i | ||||
\(305\) | 6.04075 | − | 16.9319i | 0.345892 | − | 0.969516i | ||||
\(306\) | −19.5038 | + | 2.04993i | −1.11496 | + | 0.117187i | ||||
\(307\) | 4.38282 | − | 4.38282i | 0.250141 | − | 0.250141i | −0.570888 | − | 0.821028i | \(-0.693401\pi\) |
0.821028 | + | 0.570888i | \(0.193401\pi\) | |||||||
\(308\) | 6.46003 | + | 6.23244i | 0.368094 | + | 0.355126i | ||||
\(309\) | 41.8908 | − | 13.6112i | 2.38309 | − | 0.774312i | ||||
\(310\) | −17.2133 | + | 0.410227i | −0.977647 | + | 0.0232994i | ||||
\(311\) | −1.09488 | − | 5.15101i | −0.0620850 | − | 0.292087i | 0.936141 | − | 0.351625i | \(-0.114371\pi\) |
−0.998226 | + | 0.0595378i | \(0.981037\pi\) | |||||||
\(312\) | 6.73771 | − | 0.353109i | 0.381448 | − | 0.0199908i | ||||
\(313\) | −13.6444 | − | 21.0106i | −0.771229 | − | 1.18759i | −0.977879 | − | 0.209173i | \(-0.932923\pi\) |
0.206650 | − | 0.978415i | \(-0.433744\pi\) | |||||||
\(314\) | 1.04922 | − | 3.22916i | 0.0592107 | − | 0.182232i | ||||
\(315\) | −27.2462 | + | 40.9971i | −1.53515 | + | 2.30993i | ||||
\(316\) | −3.21815 | − | 9.90444i | −0.181035 | − | 0.557168i | ||||
\(317\) | −1.51082 | + | 1.86570i | −0.0848559 | + | 0.104788i | −0.817806 | − | 0.575494i | \(-0.804810\pi\) |
0.732950 | + | 0.680283i | \(0.238143\pi\) | |||||||
\(318\) | −19.3472 | + | 72.2045i | −1.08493 | + | 4.04903i | ||||
\(319\) | −2.35905 | + | 5.29851i | −0.132081 | + | 0.296660i | ||||
\(320\) | 2.20236 | − | 0.402827i | 0.123116 | − | 0.0225187i | ||||
\(321\) | −31.6987 | + | 43.6296i | −1.76925 | + | 2.43516i | ||||
\(322\) | 7.07188 | − | 4.77494i | 0.394100 | − | 0.266097i | ||||
\(323\) | 1.30972 | + | 2.57047i | 0.0728747 | + | 0.143025i | ||||
\(324\) | 37.2107 | + | 21.4836i | 2.06726 | + | 1.19353i | ||||
\(325\) | −3.54541 | − | 6.20809i | −0.196664 | − | 0.344363i | ||||
\(326\) | −8.83454 | − | 15.3019i | −0.489300 | − | 0.847493i | ||||
\(327\) | −5.30602 | − | 0.278077i | −0.293424 | − | 0.0153777i | ||||
\(328\) | 1.40434 | + | 8.86668i | 0.0775419 | + | 0.489580i | ||||
\(329\) | 18.3783 | − | 6.33794i | 1.01323 | − | 0.349422i | ||||
\(330\) | 36.5289 | + | 8.86074i | 2.01085 | + | 0.487768i | ||||
\(331\) | −3.01739 | − | 28.7085i | −0.165851 | − | 1.57796i | −0.688385 | − | 0.725345i | \(-0.741680\pi\) |
0.522535 | − | 0.852618i | \(-0.324987\pi\) | |||||||
\(332\) | 7.39983 | + | 1.98278i | 0.406118 | + | 0.108819i | ||||
\(333\) | 0.995827 | − | 0.382262i | 0.0545710 | − | 0.0209478i | ||||
\(334\) | 12.8582 | + | 2.73309i | 0.703568 | + | 0.149548i | ||||
\(335\) | −5.20594 | − | 4.46751i | −0.284431 | − | 0.244086i | ||||
\(336\) | −40.5892 | − | 17.2063i | −2.21432 | − | 0.938681i | ||||
\(337\) | 6.89117 | − | 13.5247i | 0.375386 | − | 0.736737i | −0.623601 | − | 0.781743i | \(-0.714331\pi\) |
0.998987 | + | 0.0450065i | \(0.0143308\pi\) | |||||||
\(338\) | 16.4830 | − | 10.7042i | 0.896555 | − | 0.582230i | ||||
\(339\) | −67.8242 | + | 14.4165i | −3.68371 | + | 0.782996i | ||||
\(340\) | −2.60187 | + | 2.45747i | −0.141106 | + | 0.133275i | ||||
\(341\) | 2.48540 | − | 11.6929i | 0.134592 | − | 0.633205i | ||||
\(342\) | 5.12723 | − | 32.3720i | 0.277249 | − | 1.75048i | ||||
\(343\) | 16.0258 | − | 9.28302i | 0.865311 | − | 0.501236i | ||||
\(344\) | −3.05763 | − | 4.20846i | −0.164856 | − | 0.226905i | ||||
\(345\) | 5.85170 | − | 12.1944i | 0.315045 | − | 0.656526i | ||||
\(346\) | 32.9683 | + | 3.46511i | 1.77239 | + | 0.186285i | ||||
\(347\) | 3.59527 | − | 2.91139i | 0.193004 | − | 0.156292i | −0.527948 | − | 0.849277i | \(-0.677038\pi\) |
0.720952 | + | 0.692985i | \(0.243705\pi\) | |||||||
\(348\) | −0.446748 | + | 8.52445i | −0.0239482 | + | 0.456959i | ||||
\(349\) | 31.6205 | 1.69260 | 0.846302 | − | 0.532703i | \(-0.178824\pi\) | ||||
0.846302 | + | 0.532703i | \(0.178824\pi\) | |||||||
\(350\) | 1.55531 | + | 23.6806i | 0.0831347 | + | 1.26578i | ||||
\(351\) | 25.5963 | 1.36623 | ||||||||
\(352\) | −0.886099 | + | 16.9078i | −0.0472292 | + | 0.901187i | ||||
\(353\) | −9.63035 | + | 7.79850i | −0.512572 | + | 0.415072i | −0.850401 | − | 0.526135i | \(-0.823641\pi\) |
0.337829 | + | 0.941207i | \(0.390307\pi\) | |||||||
\(354\) | 5.92264 | + | 0.622495i | 0.314785 | + | 0.0330852i | ||||
\(355\) | 13.1014 | + | 1.75619i | 0.695349 | + | 0.0932091i | ||||
\(356\) | −2.26507 | − | 3.11760i | −0.120048 | − | 0.165232i | ||||
\(357\) | 11.5170 | − | 2.03642i | 0.609546 | − | 0.107779i | ||||
\(358\) | 4.16406 | − | 26.2908i | 0.220077 | − | 1.38951i | ||||
\(359\) | −3.65927 | + | 17.2155i | −0.193129 | + | 0.908601i | 0.769683 | + | 0.638427i | \(0.220414\pi\) |
−0.962812 | + | 0.270174i | \(0.912919\pi\) | |||||||
\(360\) | −25.8779 | + | 3.34499i | −1.36389 | + | 0.176296i | ||||
\(361\) | 13.8687 | − | 2.94789i | 0.729933 | − | 0.155152i | ||||
\(362\) | 16.9154 | − | 10.9850i | 0.889053 | − | 0.577358i | ||||
\(363\) | 4.95494 | − | 9.72461i | 0.260067 | − | 0.510410i | ||||
\(364\) | 4.57390 | − | 0.563814i | 0.239737 | − | 0.0295519i | ||||
\(365\) | −2.74191 | − | 0.222284i | −0.143518 | − | 0.0116349i | ||||
\(366\) | 47.4661 | + | 10.0892i | 2.48109 | + | 0.527372i | ||||
\(367\) | 0.369868 | − | 0.141979i | 0.0193070 | − | 0.00741125i | −0.348695 | − | 0.937236i | \(-0.613375\pi\) |
0.368002 | + | 0.929825i | \(0.380042\pi\) | |||||||
\(368\) | 8.60004 | + | 2.30437i | 0.448308 | + | 0.120124i | ||||
\(369\) | 5.56724 | + | 52.9687i | 0.289819 | + | 2.75744i | ||||
\(370\) | 0.269724 | − | 0.437835i | 0.0140223 | − | 0.0227619i | ||||
\(371\) | 6.23679 | − | 32.1673i | 0.323798 | − | 1.67004i | ||||
\(372\) | −2.75225 | − | 17.3770i | −0.142697 | − | 0.900956i | ||||
\(373\) | −33.1559 | − | 1.73763i | −1.71675 | − | 0.0899709i | −0.831627 | − | 0.555334i | \(-0.812590\pi\) |
−0.885120 | + | 0.465363i | \(0.845924\pi\) | |||||||
\(374\) | −3.28205 | − | 5.68467i | −0.169711 | − | 0.293947i | ||||
\(375\) | 21.0874 | + | 31.1511i | 1.08895 | + | 1.60864i | ||||
\(376\) | 8.92436 | + | 5.15248i | 0.460239 | + | 0.265719i | ||||
\(377\) | 1.35186 | + | 2.65317i | 0.0696242 | + | 0.136645i | ||||
\(378\) | −76.3856 | − | 37.2107i | −3.92885 | − | 1.91391i | ||||
\(379\) | −3.47916 | + | 4.78865i | −0.178712 | + | 0.245976i | −0.888970 | − | 0.457965i | \(-0.848578\pi\) |
0.710258 | + | 0.703942i | \(0.248578\pi\) | |||||||
\(380\) | −2.84169 | − | 5.26324i | −0.145776 | − | 0.269998i | ||||
\(381\) | −3.04260 | + | 6.83379i | −0.155877 | + | 0.350106i | ||||
\(382\) | −4.13059 | + | 15.4156i | −0.211340 | + | 0.788730i | ||||
\(383\) | −9.12314 | + | 11.2661i | −0.466171 | + | 0.575673i | −0.954962 | − | 0.296728i | \(-0.904105\pi\) |
0.488791 | + | 0.872401i | \(0.337438\pi\) | |||||||
\(384\) | −10.7741 | − | 33.1593i | −0.549814 | − | 1.69215i | ||||
\(385\) | −16.2451 | − | 2.74985i | −0.827929 | − | 0.140145i | ||||
\(386\) | −8.68591 | + | 26.7325i | −0.442101 | + | 1.36065i | ||||
\(387\) | −16.8089 | − | 25.8834i | −0.854443 | − | 1.31573i | ||||
\(388\) | −16.5102 | + | 0.865264i | −0.838179 | + | 0.0439271i | ||||
\(389\) | −1.71681 | − | 8.07695i | −0.0870457 | − | 0.409518i | −0.999999 | − | 0.00145363i | \(-0.999537\pi\) |
0.912953 | − | 0.408064i | \(-0.133796\pi\) | |||||||
\(390\) | 15.3377 | − | 11.7118i | 0.776655 | − | 0.593051i | ||||
\(391\) | −2.24642 | + | 0.729907i | −0.113607 | + | 0.0369130i | ||||
\(392\) | 9.28538 | + | 3.18733i | 0.468983 | + | 0.160984i | ||||
\(393\) | −14.4633 | + | 14.4633i | −0.729578 | + | 0.729578i | ||||
\(394\) | 12.0616 | − | 1.26773i | 0.607657 | − | 0.0638673i | ||||
\(395\) | 15.1378 | + | 11.6723i | 0.761663 | + | 0.587297i | ||||
\(396\) | −2.95080 | + | 28.0750i | −0.148283 | + | 1.41082i | ||||
\(397\) | 1.44779 | − | 3.77161i | 0.0726623 | − | 0.189292i | −0.892439 | − | 0.451167i | \(-0.851008\pi\) |
0.965102 | + | 0.261876i | \(0.0843410\pi\) | |||||||
\(398\) | 16.8297 | − | 8.57518i | 0.843599 | − | 0.429835i | ||||
\(399\) | −1.69433 | + | 19.4731i | −0.0848227 | + | 0.974872i | ||||
\(400\) | −17.5915 | + | 17.4267i | −0.879574 | + | 0.871336i | ||||
\(401\) | 1.96532 | − | 3.40403i | 0.0981433 | − | 0.169989i | −0.812773 | − | 0.582581i | \(-0.802043\pi\) |
0.910916 | + | 0.412592i | \(0.135376\pi\) | |||||||
\(402\) | 10.0854 | − | 15.5302i | 0.503016 | − | 0.774576i | ||||
\(403\) | −3.86233 | − | 4.76958i | −0.192396 | − | 0.237590i | ||||
\(404\) | 12.4787 | − | 5.55587i | 0.620838 | − | 0.276415i | ||||
\(405\) | −78.6380 | + | 6.00284i | −3.90755 | + | 0.298284i | ||||
\(406\) | −0.177214 | − | 9.88297i | −0.00879496 | − | 0.490483i | ||||
\(407\) | 0.252457 | + | 0.252457i | 0.0125138 | + | 0.0125138i | ||||
\(408\) | 4.81802 | + | 3.90156i | 0.238528 | + | 0.193156i | ||||
\(409\) | 26.3067 | − | 29.2166i | 1.30078 | − | 1.44467i | 0.475755 | − | 0.879578i | \(-0.342175\pi\) |
0.825029 | − | 0.565090i | \(-0.191158\pi\) | |||||||
\(410\) | 17.6310 | + | 18.6670i | 0.870735 | + | 0.921897i | ||||
\(411\) | −19.7254 | + | 17.7608i | −0.972980 | + | 0.876075i | ||||
\(412\) | 14.2098 | + | 7.24024i | 0.700065 | + | 0.356701i | ||||
\(413\) | −2.60886 | − | 0.0898600i | −0.128373 | − | 0.00442172i | ||||
\(414\) | 25.5218 | + | 8.29253i | 1.25433 | + | 0.407555i | ||||
\(415\) | −13.2661 | + | 4.66267i | −0.651205 | + | 0.228881i | ||||
\(416\) | 6.45975 | + | 5.81639i | 0.316715 | + | 0.285172i | ||||
\(417\) | 0.413664 | + | 1.07763i | 0.0202572 | + | 0.0527719i | ||||
\(418\) | 10.5965 | − | 2.83934i | 0.518294 | − | 0.138876i | ||||
\(419\) | −6.94468 | + | 5.04561i | −0.339270 | + | 0.246494i | −0.744354 | − | 0.667786i | \(-0.767242\pi\) |
0.405084 | + | 0.914280i | \(0.367242\pi\) | |||||||
\(420\) | −23.7714 | + | 4.78990i | −1.15992 | + | 0.233723i | ||||
\(421\) | −13.9780 | − | 10.1556i | −0.681246 | − | 0.494954i | 0.192525 | − | 0.981292i | \(-0.438332\pi\) |
−0.873771 | + | 0.486338i | \(0.838332\pi\) | |||||||
\(422\) | 25.3504 | + | 9.73109i | 1.23404 | + | 0.473702i | ||||
\(423\) | 51.2746 | + | 33.2981i | 2.49305 | + | 1.61901i | ||||
\(424\) | 15.0417 | − | 8.68436i | 0.730492 | − | 0.421750i | ||||
\(425\) | 1.39603 | − | 6.41915i | 0.0677174 | − | 0.311375i | ||||
\(426\) | 35.6814i | 1.72877i | ||||||||
\(427\) | −21.0653 | − | 2.95031i | −1.01942 | − | 0.142775i | ||||
\(428\) | −19.2858 | + | 3.05456i | −0.932212 | + | 0.147648i | ||||
\(429\) | 5.44949 | + | 12.2398i | 0.263104 | + | 0.590941i | ||||
\(430\) | −14.0137 | − | 4.99964i | −0.675801 | − | 0.241104i | ||||
\(431\) | 32.6655 | + | 14.5436i | 1.57344 | + | 0.700542i | 0.993470 | − | 0.114093i | \(-0.0363963\pi\) |
0.579973 | + | 0.814635i | \(0.303063\pi\) | |||||||
\(432\) | −22.9458 | − | 85.6349i | −1.10398 | − | 4.12011i | ||||
\(433\) | 11.0735 | + | 1.75387i | 0.532157 | + | 0.0842855i | 0.416730 | − | 0.909030i | \(-0.363176\pi\) |
0.115428 | + | 0.993316i | \(0.463176\pi\) | |||||||
\(434\) | 4.59233 | + | 19.8484i | 0.220439 | + | 0.952756i | ||||
\(435\) | −8.15516 | − | 13.3786i | −0.391010 | − | 0.641453i | ||||
\(436\) | −1.28727 | − | 1.42966i | −0.0616490 | − | 0.0684681i | ||||
\(437\) | −0.206600 | − | 3.94217i | −0.00988304 | − | 0.188580i | ||||
\(438\) | −0.388628 | − | 7.41546i | −0.0185693 | − | 0.354324i | ||||
\(439\) | −11.0215 | − | 12.2406i | −0.526027 | − | 0.584212i | 0.420315 | − | 0.907378i | \(-0.361919\pi\) |
−0.946342 | + | 0.323166i | \(0.895253\pi\) | |||||||
\(440\) | −4.54582 | − | 7.45742i | −0.216713 | − | 0.355518i | ||||
\(441\) | 54.0237 | + | 21.7672i | 2.57256 | + | 1.03653i | ||||
\(442\) | −3.32855 | − | 0.527191i | −0.158323 | − | 0.0250759i | ||||
\(443\) | 2.79602 | + | 10.4349i | 0.132843 | + | 0.495777i | 0.999997 | − | 0.00226265i | \(-0.000720226\pi\) |
−0.867155 | + | 0.498039i | \(0.834054\pi\) | |||||||
\(444\) | 0.480033 | + | 0.213724i | 0.0227814 | + | 0.0101429i | ||||
\(445\) | 6.66197 | + | 2.37678i | 0.315808 | + | 0.112670i | ||||
\(446\) | 16.6324 | + | 37.3569i | 0.787566 | + | 1.76890i | ||||
\(447\) | 61.5374 | − | 9.74657i | 2.91062 | − | 0.460997i | ||||
\(448\) | −0.993538 | − | 2.45573i | −0.0469403 | − | 0.116022i | ||||
\(449\) | 23.2598i | 1.09770i | 0.835921 | + | 0.548850i | \(0.184934\pi\) | ||||
−0.835921 | + | 0.548850i | \(0.815066\pi\) | |||||||
\(450\) | −55.6976 | + | 49.6778i | −2.62561 | + | 2.34184i | ||||
\(451\) | −15.4385 | + | 8.91344i | −0.726972 | + | 0.419718i | ||||
\(452\) | −21.0555 | − | 13.6736i | −0.990367 | − | 0.643152i | ||||
\(453\) | 48.6184 | + | 18.6628i | 2.28429 | + | 0.876857i | ||||
\(454\) | −19.3134 | − | 14.0320i | −0.906424 | − | 0.658556i | ||||
\(455\) | −6.34591 | + | 5.59320i | −0.297501 | + | 0.262213i | ||||
\(456\) | −8.38243 | + | 6.09019i | −0.392543 | + | 0.285199i | ||||
\(457\) | 10.2799 | − | 2.75448i | 0.480872 | − | 0.128849i | −0.0102368 | − | 0.999948i | \(-0.503259\pi\) |
0.491109 | + | 0.871098i | \(0.336592\pi\) | |||||||
\(458\) | 0.613757 | + | 1.59889i | 0.0286790 | + | 0.0747113i | ||||
\(459\) | 17.4787 | + | 15.7379i | 0.815836 | + | 0.734582i | ||||
\(460\) | 4.62022 | − | 1.62388i | 0.215419 | − | 0.0757140i | ||||
\(461\) | 9.06900 | + | 2.94670i | 0.422385 | + | 0.137241i | 0.512494 | − | 0.858691i | \(-0.328722\pi\) |
−0.0901091 | + | 0.995932i | \(0.528722\pi\) | |||||||
\(462\) | 1.53100 | − | 44.4486i | 0.0712284 | − | 2.06794i | ||||
\(463\) | −27.7199 | − | 14.1240i | −1.28825 | − | 0.656398i | −0.330451 | − | 0.943823i | \(-0.607201\pi\) |
−0.957803 | + | 0.287425i | \(0.907201\pi\) | |||||||
\(464\) | 7.66456 | − | 6.90120i | 0.355818 | − | 0.320380i | ||||
\(465\) | 22.1741 | + | 23.4769i | 1.02830 | + | 1.08872i | ||||
\(466\) | 7.33735 | − | 8.14896i | 0.339896 | − | 0.377493i | ||||
\(467\) | −20.1890 | − | 16.3487i | −0.934236 | − | 0.756529i | 0.0358334 | − | 0.999358i | \(-0.488591\pi\) |
−0.970069 | + | 0.242828i | \(0.921925\pi\) | |||||||
\(468\) | 10.2483 | + | 10.2483i | 0.473727 | + | 0.473727i | ||||
\(469\) | −3.93179 | + | 7.10111i | −0.181553 | + | 0.327899i | ||||
\(470\) | 29.3893 | − | 2.24343i | 1.35563 | − | 0.103482i | ||||
\(471\) | −5.81753 | + | 2.59013i | −0.268058 | + | 0.119347i | ||||
\(472\) | −0.870803 | − | 1.07535i | −0.0400820 | − | 0.0494971i | ||||
\(473\) | 5.62612 | − | 8.66346i | 0.258689 | − | 0.398346i | ||||
\(474\) | −25.7993 | + | 44.6857i | −1.18500 | + | 2.05248i | ||||
\(475\) | 9.75870 | + | 5.03028i | 0.447760 | + | 0.230805i | ||||
\(476\) | 3.46999 | + | 2.42726i | 0.159047 | + | 0.111253i | ||||
\(477\) | 91.8148 | − | 46.7820i | 4.20391 | − | 2.14200i | ||||
\(478\) | 1.39630 | − | 3.63748i | 0.0638652 | − | 0.166374i | ||||
\(479\) | 3.16582 | − | 30.1208i | 0.144650 | − | 1.37625i | −0.645697 | − | 0.763594i | \(-0.723433\pi\) |
0.790347 | − | 0.612660i | \(-0.209900\pi\) | |||||||
\(480\) | −36.2208 | − | 27.9288i | −1.65325 | − | 1.27477i | ||||
\(481\) | 0.182296 | − | 0.0191601i | 0.00831199 | − | 0.000873625i | ||||
\(482\) | −26.6217 | + | 26.6217i | −1.21258 | + | 1.21258i | ||||
\(483\) | −15.5304 | − | 3.86430i | −0.706656 | − | 0.175832i | ||||
\(484\) | 3.75830 | − | 1.22115i | 0.170832 | − | 0.0555066i | ||||
\(485\) | 24.1187 | − | 18.4170i | 1.09517 | − | 0.836271i | ||||
\(486\) | −24.2310 | − | 113.998i | −1.09914 | − | 5.17105i | ||||
\(487\) | −29.4815 | + | 1.54506i | −1.33593 | + | 0.0700132i | −0.706871 | − | 0.707343i | \(-0.749894\pi\) |
−0.629061 | + | 0.777356i | \(0.716561\pi\) | |||||||
\(488\) | −6.14094 | − | 9.45621i | −0.277987 | − | 0.428063i | ||||
\(489\) | −10.2405 | + | 31.5171i | −0.463093 | + | 1.42525i | ||||
\(490\) | 27.0689 | − | 7.46605i | 1.22285 | − | 0.337282i | ||||
\(491\) | 9.05539 | + | 27.8696i | 0.408664 | + | 1.25774i | 0.917797 | + | 0.397051i | \(0.129966\pi\) |
−0.509133 | + | 0.860688i | \(0.670034\pi\) | |||||||
\(492\) | −16.5115 | + | 20.3900i | −0.744394 | + | 0.919250i | ||||
\(493\) | −0.708172 | + | 2.64293i | −0.0318945 | + | 0.119032i | ||||
\(494\) | 2.29084 | − | 5.14531i | 0.103070 | − | 0.231498i | ||||
\(495\) | −24.6172 | − | 45.5947i | −1.10646 | − | 2.04933i | ||||
\(496\) | −12.4947 | + | 17.1975i | −0.561028 | + | 0.772189i | ||||
\(497\) | −1.09845 | − | 15.6018i | −0.0492721 | − | 0.699836i | ||||
\(498\) | −17.2321 | − | 33.8200i | −0.772191 | − | 1.51551i | ||||
\(499\) | 3.07718 | + | 1.77661i | 0.137754 | + | 0.0795321i | 0.567293 | − | 0.823516i | \(-0.307991\pi\) |
−0.429539 | + | 0.903048i | \(0.641324\pi\) | |||||||
\(500\) | −2.57653 | + | 13.3743i | −0.115226 | + | 0.598115i | ||||
\(501\) | −12.3274 | − | 21.3516i | −0.550747 | − | 0.953921i | ||||
\(502\) | −32.2264 | − | 1.68892i | −1.43834 | − | 0.0753800i | ||||
\(503\) | −2.66709 | − | 16.8394i | −0.118920 | − | 0.750830i | −0.973020 | − | 0.230721i | \(-0.925891\pi\) |
0.854100 | − | 0.520109i | \(-0.174109\pi\) | |||||||
\(504\) | 10.0655 | + | 29.1871i | 0.448351 | + | 1.30010i | ||||
\(505\) | −13.1506 | + | 21.3469i | −0.585192 | + | 0.949923i | ||||
\(506\) | 0.938879 | + | 8.93283i | 0.0417382 | + | 0.397113i | ||||
\(507\) | −35.6052 | − | 9.54039i | −1.58128 | − | 0.423704i | ||||
\(508\) | −2.52858 | + | 0.970631i | −0.112188 | + | 0.0430648i | ||||
\(509\) | −15.5878 | − | 3.31329i | −0.690918 | − | 0.146859i | −0.150946 | − | 0.988542i | \(-0.548232\pi\) |
−0.539972 | + | 0.841683i | \(0.681565\pi\) | |||||||
\(510\) | 17.6745 | + | 1.43286i | 0.782641 | + | 0.0634480i | ||||
\(511\) | 0.398212 | + | 3.23047i | 0.0176159 | + | 0.142907i | ||||
\(512\) | 7.36205 | − | 14.4488i | 0.325360 | − | 0.638554i | ||||
\(513\) | −32.9665 | + | 21.4087i | −1.45551 | + | 0.945217i | ||||
\(514\) | 40.8808 | − | 8.68948i | 1.80317 | − | 0.383277i | ||||
\(515\) | −29.0312 | + | 3.75258i | −1.27927 | + | 0.165358i | ||||
\(516\) | 3.16095 | − | 14.8711i | 0.139153 | − | 0.654663i | ||||
\(517\) | −3.20120 | + | 20.2116i | −0.140789 | + | 0.888905i | ||||
\(518\) | −0.571870 | − | 0.207835i | −0.0251265 | − | 0.00913176i | ||||
\(519\) | −36.5449 | − | 50.2997i | −1.60414 | − | 2.20791i | ||||
\(520\) | −4.44418 | − | 0.595726i | −0.194890 | − | 0.0261243i | ||||
\(521\) | 22.2886 | + | 2.34262i | 0.976480 | + | 0.102632i | 0.579305 | − | 0.815111i | \(-0.303324\pi\) |
0.397175 | + | 0.917743i | \(0.369991\pi\) | |||||||
\(522\) | 24.1582 | − | 19.5629i | 1.05737 | − | 0.856245i | ||||
\(523\) | −0.788577 | + | 15.0469i | −0.0344821 | + | 0.657957i | 0.925645 | + | 0.378393i | \(0.123523\pi\) |
−0.960127 | + | 0.279564i | \(0.909810\pi\) | |||||||
\(524\) | −7.40588 | −0.323527 | ||||||||
\(525\) | 31.0541 | − | 31.8865i | 1.35531 | − | 1.39164i | ||||
\(526\) | 11.8631 | 0.517256 | ||||||||
\(527\) | 0.295145 | − | 5.63171i | 0.0128567 | − | 0.245321i | ||||
\(528\) | 36.0640 | − | 29.2041i | 1.56949 | − | 1.27094i | ||||
\(529\) | −19.6596 | − | 2.06631i | −0.854765 | − | 0.0898395i | ||||
\(530\) | 21.4927 | − | 44.7890i | 0.933584 | − | 1.94551i | ||||
\(531\) | −4.82537 | − | 6.64155i | −0.209403 | − | 0.288219i | ||||
\(532\) | −5.41933 | + | 4.55176i | −0.234958 | + | 0.197344i | ||||
\(533\) | −1.43175 | + | 9.03974i | −0.0620161 | + | 0.391555i | ||||
\(534\) | −3.96968 | + | 18.6759i | −0.171785 | + | 0.808185i | ||||
\(535\) | 26.0557 | − | 24.6097i | 1.12649 | − | 1.06397i | ||||
\(536\) | −4.20859 | + | 0.894564i | −0.181784 | + | 0.0386393i | ||||
\(537\) | −41.8699 | + | 27.1906i | −1.80682 | + | 1.17336i | ||||
\(538\) | 8.30778 | − | 16.3049i | 0.358174 | − | 0.702956i | ||||
\(539\) | 0.698911 | + | 19.4824i | 0.0301042 | + | 0.839167i | ||||
\(540\) | −37.0064 | − | 31.7573i | −1.59250 | − | 1.36662i | ||||
\(541\) | 6.83288 | + | 1.45237i | 0.293768 | + | 0.0624424i | 0.352438 | − | 0.935835i | \(-0.385353\pi\) |
−0.0586700 | + | 0.998277i | \(0.518686\pi\) | |||||||
\(542\) | 6.19458 | − | 2.37788i | 0.266080 | − | 0.102138i | ||||
\(543\) | −36.5393 | − | 9.79068i | −1.56805 | − | 0.420158i | ||||
\(544\) | 0.834901 | + | 7.94356i | 0.0357961 | + | 0.340577i | ||||
\(545\) | 3.43163 | + | 0.832404i | 0.146995 | + | 0.0356562i | ||||
\(546\) | −17.2399 | − | 14.9720i | −0.737801 | − | 0.640744i | ||||
\(547\) | 3.34437 | + | 21.1155i | 0.142995 | + | 0.902835i | 0.949991 | + | 0.312278i | \(0.101092\pi\) |
−0.806996 | + | 0.590557i | \(0.798908\pi\) | |||||||
\(548\) | −9.59731 | − | 0.502974i | −0.409977 | − | 0.0214860i | ||||
\(549\) | −33.4472 | − | 57.9322i | −1.42749 | − | 2.47249i | ||||
\(550\) | −22.7728 | − | 10.2678i | −0.971036 | − | 0.437819i | ||||
\(551\) | −3.96022 | − | 2.28643i | −0.168711 | − | 0.0974053i | ||||
\(552\) | −3.85135 | − | 7.55871i | −0.163924 | − | 0.321720i | ||||
\(553\) | 9.90519 | − | 20.3332i | 0.421211 | − | 0.864656i | ||||
\(554\) | −14.0951 | + | 19.4003i | −0.598844 | + | 0.824239i | ||||
\(555\) | −0.948751 | + | 0.173533i | −0.0402722 | + | 0.00736607i | ||||
\(556\) | −0.169991 | + | 0.381806i | −0.00720922 | + | 0.0161922i | ||||
\(557\) | 9.23180 | − | 34.4535i | 0.391164 | − | 1.45984i | −0.437053 | − | 0.899436i | \(-0.643978\pi\) |
0.828217 | − | 0.560407i | \(-0.189355\pi\) | |||||||
\(558\) | −40.3206 | + | 49.7917i | −1.70691 | + | 2.10785i | ||||
\(559\) | −1.63886 | − | 5.04390i | −0.0693166 | − | 0.213334i | ||||
\(560\) | 24.4014 | + | 16.2168i | 1.03115 | + | 0.685286i | ||||
\(561\) | −3.80437 | + | 11.7087i | −0.160621 | + | 0.494340i | ||||
\(562\) | 21.2771 | + | 32.7639i | 0.897522 | + | 1.38206i | ||||
\(563\) | −9.46267 | + | 0.495918i | −0.398804 | + | 0.0209004i | −0.250684 | − | 0.968069i | \(-0.580656\pi\) |
−0.148120 | + | 0.988969i | \(0.547322\pi\) | |||||||
\(564\) | 6.26178 | + | 29.4594i | 0.263669 | + | 1.24046i | ||||
\(565\) | 46.0689 | − | 1.09792i | 1.93813 | − | 0.0461897i | ||||
\(566\) | −34.0410 | + | 11.0606i | −1.43085 | + | 0.464911i | ||||
\(567\) | 25.7642 | + | 89.6892i | 1.08199 | + | 3.76659i | ||||
\(568\) | 5.86238 | − | 5.86238i | 0.245980 | − | 0.245980i | ||||
\(569\) | −17.3128 | + | 1.81965i | −0.725789 | + | 0.0762835i | −0.460216 | − | 0.887807i | \(-0.652228\pi\) |
−0.265574 | + | 0.964091i | \(0.585561\pi\) | |||||||
\(570\) | −9.95831 | + | 27.9125i | −0.417108 | + | 1.16913i | ||||
\(571\) | 1.08064 | − | 10.2816i | 0.0452232 | − | 0.430270i | −0.948362 | − | 0.317189i | \(-0.897261\pi\) |
0.993586 | − | 0.113082i | \(-0.0360722\pi\) | |||||||
\(572\) | −1.73846 | + | 4.52885i | −0.0726888 | + | 0.189361i | ||||
\(573\) | 26.6700 | − | 13.5890i | 1.11416 | − | 0.567690i | ||||
\(574\) | 17.4143 | − | 24.8953i | 0.726857 | − | 1.03911i | ||||
\(575\) | −5.31777 | + | 7.24734i | −0.221767 | + | 0.302235i | ||||
\(576\) | 4.16555 | − | 7.21494i | 0.173565 | − | 0.300623i | ||||
\(577\) | −12.6995 | + | 19.5555i | −0.528687 | + | 0.814107i | −0.997607 | − | 0.0691337i | \(-0.977977\pi\) |
0.468920 | + | 0.883241i | \(0.344643\pi\) | |||||||
\(578\) | 17.2436 | + | 21.2941i | 0.717239 | + | 0.885716i | ||||
\(579\) | 48.1603 | − | 21.4423i | 2.00147 | − | 0.891113i | ||||
\(580\) | 1.33731 | − | 5.51312i | 0.0555287 | − | 0.228920i | ||||
\(581\) | 8.57595 | + | 14.2574i | 0.355790 | + | 0.591496i | ||||
\(582\) | 57.9226 | + | 57.9226i | 2.40097 | + | 2.40097i | ||||
\(583\) | 26.8043 | + | 21.7057i | 1.11012 | + | 0.898958i | ||||
\(584\) | −1.15449 | + | 1.28219i | −0.0477733 | + | 0.0530576i | ||||
\(585\) | −26.1456 | − | 4.90944i | −1.08099 | − | 0.202980i | ||||
\(586\) | −31.9514 | + | 28.7691i | −1.31990 | + | 1.18844i | ||||
\(587\) | 35.3817 | + | 18.0279i | 1.46036 | + | 0.744089i | 0.990352 | − | 0.138574i | \(-0.0442519\pi\) |
0.470006 | + | 0.882663i | \(0.344252\pi\) | |||||||
\(588\) | 11.2360 | + | 26.4004i | 0.463364 | + | 1.08873i | ||||
\(589\) | 8.96371 | + | 2.91249i | 0.369343 | + | 0.120007i | ||||
\(590\) | −3.79214 | − | 1.13299i | −0.156120 | − | 0.0466446i | ||||
\(591\) | −16.9041 | − | 15.2205i | −0.695341 | − | 0.626088i | ||||
\(592\) | −0.227521 | − | 0.592713i | −0.00935106 | − | 0.0243603i | ||||
\(593\) | −7.47928 | + | 2.00407i | −0.307137 | + | 0.0822972i | −0.409096 | − | 0.912491i | \(-0.634156\pi\) |
0.101958 | + | 0.994789i | \(0.467489\pi\) | |||||||
\(594\) | 72.3574 | − | 52.5707i | 2.96886 | − | 2.15700i | ||||
\(595\) | −7.77235 | − | 0.0824135i | −0.318635 | − | 0.00337862i | ||||
\(596\) | 18.2503 | + | 13.2596i | 0.747563 | + | 0.543136i | ||||
\(597\) | −33.0730 | − | 12.6956i | −1.35359 | − | 0.519594i | ||||
\(598\) | 3.86747 | + | 2.51156i | 0.158153 | + | 0.102705i | ||||
\(599\) | −28.2706 | + | 16.3221i | −1.15511 | + | 0.666901i | −0.950126 | − | 0.311865i | \(-0.899046\pi\) |
−0.204980 | + | 0.978766i | \(0.565713\pi\) | |||||||
\(600\) | 23.5552 | + | 1.34563i | 0.961636 | + | 0.0549350i | ||||
\(601\) | 7.02390i | 0.286511i | 0.989686 | + | 0.143255i | \(0.0457571\pi\) | ||||
−0.989686 | + | 0.143255i | \(0.954243\pi\) | |||||||
\(602\) | −2.44183 | + | 17.4347i | −0.0995215 | + | 0.710587i | ||||
\(603\) | −25.2125 | + | 3.99327i | −1.02673 | + | 0.162619i | ||||
\(604\) | 7.66930 | + | 17.2255i | 0.312059 | + | 0.700897i | ||||
\(605\) | −4.42912 | + | 5.74411i | −0.180069 | + | 0.233531i | ||||
\(606\) | −61.8278 | − | 27.5275i | −2.51158 | − | 1.11823i | ||||
\(607\) | 0.594770 | + | 2.21971i | 0.0241410 | + | 0.0900954i | 0.976945 | − | 0.213490i | \(-0.0684830\pi\) |
−0.952804 | + | 0.303585i | \(0.901816\pi\) | |||||||
\(608\) | −13.1846 | − | 2.08823i | −0.534705 | − | 0.0846890i | ||||
\(609\) | −13.5524 | + | 12.6499i | −0.549173 | + | 0.512601i | ||||
\(610\) | −29.7660 | − | 12.4116i | −1.20519 | − | 0.502531i | ||||
\(611\) | 7.02995 | + | 7.80755i | 0.284401 | + | 0.315860i | ||||
\(612\) | 0.696986 | + | 13.2993i | 0.0281740 | + | 0.537592i | ||||
\(613\) | 0.935899 | + | 17.8580i | 0.0378006 | + | 0.721279i | 0.950136 | + | 0.311835i | \(0.100944\pi\) |
−0.912336 | + | 0.409443i | \(0.865723\pi\) | |||||||
\(614\) | −7.44025 | − | 8.26323i | −0.300264 | − | 0.333477i | ||||
\(615\) | 3.89138 | − | 48.0008i | 0.156916 | − | 1.93558i | ||||
\(616\) | −7.55435 | + | 7.05127i | −0.304373 | + | 0.284104i | ||||
\(617\) | −38.5471 | − | 6.10525i | −1.55185 | − | 0.245788i | −0.679131 | − | 0.734017i | \(-0.737643\pi\) |
−0.872716 | + | 0.488229i | \(0.837643\pi\) | |||||||
\(618\) | −20.4511 | − | 76.3247i | −0.822665 | − | 3.07023i | ||||
\(619\) | 23.3635 | + | 10.4021i | 0.939057 | + | 0.418095i | 0.818432 | − | 0.574603i | \(-0.194843\pi\) |
0.120625 | + | 0.992698i | \(0.461510\pi\) | |||||||
\(620\) | −0.333568 | + | 11.6877i | −0.0133964 | + | 0.469389i | ||||
\(621\) | −13.0903 | − | 29.4013i | −0.525295 | − | 1.17983i | ||||
\(622\) | −9.33074 | + | 1.47784i | −0.374128 | + | 0.0592561i | ||||
\(623\) | 1.16082 | − | 8.28829i | 0.0465073 | − | 0.332063i | ||||
\(624\) | − | 23.8250i | − | 0.953762i | ||||||
\(625\) | −9.95307 | − | 22.9333i | −0.398123 | − | 0.917332i | ||||
\(626\) | −38.9211 | + | 22.4711i | −1.55560 | + | 0.898127i | ||||
\(627\) | −17.2559 | − | 11.2061i | −0.689135 | − | 0.447529i | ||||
\(628\) | −2.15255 | − | 0.826288i | −0.0858963 | − | 0.0329725i | ||||
\(629\) | 0.136263 | + | 0.0990011i | 0.00543317 | + | 0.00394743i | ||||
\(630\) | 70.8876 | + | 52.6602i | 2.82423 | + | 2.09803i | ||||
\(631\) | 3.71186 | − | 2.69683i | 0.147767 | − | 0.107359i | −0.511445 | − | 0.859316i | \(-0.670890\pi\) |
0.659212 | + | 0.751957i | \(0.270890\pi\) | |||||||
\(632\) | 11.5805 | − | 3.10300i | 0.460649 | − | 0.123431i | ||||
\(633\) | −18.2510 | − | 47.5456i | −0.725413 | − | 1.88977i | ||||
\(634\) | 3.20053 | + | 2.88177i | 0.127109 | + | 0.114450i | ||||
\(635\) | 2.82548 | − | 4.09046i | 0.112126 | − | 0.162325i | ||||
\(636\) | 48.2777 | + | 15.6864i | 1.91434 | + | 0.622005i | ||||
\(637\) | 7.99912 | + | 6.01584i | 0.316937 | + | 0.238356i | ||||
\(638\) | 9.27071 | + | 4.72366i | 0.367031 | + | 0.187012i | ||||
\(639\) | 36.5533 | − | 32.9127i | 1.44603 | − | 1.30201i | ||||
\(640\) | 2.97041 | + | 22.9801i | 0.117416 | + | 0.908368i | ||||
\(641\) | 3.80072 | − | 4.22113i | 0.150119 | − | 0.166724i | −0.663395 | − | 0.748270i | \(-0.730885\pi\) |
0.813514 | + | 0.581545i | \(0.197552\pi\) | |||||||
\(642\) | 75.1855 | + | 60.8840i | 2.96733 | + | 2.40290i | ||||
\(643\) | 18.1847 | + | 18.1847i | 0.717133 | + | 0.717133i | 0.968017 | − | 0.250884i | \(-0.0807212\pi\) |
−0.250884 | + | 0.968017i | \(0.580721\pi\) | |||||||
\(644\) | −2.98678 | − | 4.96548i | −0.117696 | − | 0.195667i | ||||
\(645\) | 10.6184 | + | 25.8067i | 0.418100 | + | 1.01614i | ||||
\(646\) | 4.72791 | − | 2.10500i | 0.186017 | − | 0.0828202i | ||||
\(647\) | −27.0230 | − | 33.3707i | −1.06238 | − | 1.31194i | −0.947920 | − | 0.318508i | \(-0.896818\pi\) |
−0.114464 | − | 0.993427i | \(-0.536515\pi\) | |||||||
\(648\) | −26.9406 | + | 41.4849i | −1.05833 | + | 1.62968i | ||||
\(649\) | 1.37389 | − | 2.37965i | 0.0539300 | − | 0.0934094i | ||||
\(650\) | −11.4546 | + | 5.76867i | −0.449285 | + | 0.226266i | ||||
\(651\) | 21.9014 | − | 31.3102i | 0.858384 | − | 1.22714i | ||||
\(652\) | −10.6909 | + | 5.44729i | −0.418688 | + | 0.213332i | ||||
\(653\) | −9.22908 | + | 24.0426i | −0.361162 | + | 0.940859i | 0.625811 | + | 0.779975i | \(0.284768\pi\) |
−0.986973 | + | 0.160885i | \(0.948565\pi\) | |||||||
\(654\) | −0.996339 | + | 9.47954i | −0.0389600 | + | 0.370679i | ||||
\(655\) | 11.2209 | − | 7.67311i | 0.438437 | − | 0.299813i | ||||
\(656\) | 31.5268 | − | 3.31360i | 1.23091 | − | 0.129374i | ||||
\(657\) | −7.23818 | + | 7.23818i | −0.282388 | + | 0.282388i | ||||
\(658\) | −9.62881 | − | 33.5194i | −0.375370 | − | 1.30672i | ||||
\(659\) | 10.3796 | − | 3.37253i | 0.404331 | − | 0.131375i | −0.0997894 | − | 0.995009i | \(-0.531817\pi\) |
0.504120 | + | 0.863634i | \(0.331817\pi\) | |||||||
\(660\) | 7.30713 | − | 24.4571i | 0.284430 | − | 0.951989i | ||||
\(661\) | 7.03787 | + | 33.1106i | 0.273741 | + | 1.28785i | 0.873167 | + | 0.487422i | \(0.162063\pi\) |
−0.599425 | + | 0.800431i | \(0.704604\pi\) | |||||||
\(662\) | −51.7141 | + | 2.71022i | −2.00993 | + | 0.105336i | ||||
\(663\) | 3.44247 | + | 5.30094i | 0.133694 | + | 0.205871i | ||||
\(664\) | −2.72535 | + | 8.38775i | −0.105764 | + | 0.325508i | ||||
\(665\) | 3.49501 | − | 12.5114i | 0.135531 | − | 0.485172i | ||||
\(666\) | −0.591320 | − | 1.81990i | −0.0229132 | − | 0.0705196i | ||||
\(667\) | 2.35621 | − | 2.90968i | 0.0912329 | − | 0.112663i | ||||
\(668\) | 2.31042 | − | 8.62260i | 0.0893927 | − | 0.333618i | ||||
\(669\) | 31.1947 | − | 70.0643i | 1.20606 | − | 2.70884i | ||||
\(670\) | −8.49225 | + | 8.90691i | −0.328084 | + | 0.344104i | ||||
\(671\) | 13.1607 | − | 18.1141i | 0.508063 | − | 0.699289i | ||||
\(672\) | −23.7006 | + | 48.6522i | −0.914270 | + | 1.87680i | ||||
\(673\) | 11.8073 | + | 23.1732i | 0.455139 | + | 0.893261i | 0.998552 | + | 0.0537956i | \(0.0171320\pi\) |
−0.543413 | + | 0.839466i | \(0.682868\pi\) | |||||||
\(674\) | −23.5822 | − | 13.6152i | −0.908354 | − | 0.524439i | ||||
\(675\) | 88.9729 | + | 9.77486i | 3.42457 | + | 0.376235i | ||||
\(676\) | −6.67319 | − | 11.5583i | −0.256661 | − | 0.444550i | ||||
\(677\) | 0.946766 | + | 0.0496179i | 0.0363872 | + | 0.00190697i | 0.0705208 | − | 0.997510i | \(-0.477534\pi\) |
−0.0341337 | + | 0.999417i | \(0.510867\pi\) | |||||||
\(678\) | 19.4590 | + | 122.860i | 0.747320 | + | 4.71839i | ||||
\(679\) | −27.1100 | − | 23.5437i | −1.04039 | − | 0.903524i | ||||
\(680\) | −2.66847 | − | 3.13930i | −0.102331 | − | 0.120387i | ||||
\(681\) | 4.68018 | + | 44.5289i | 0.179345 | + | 1.70635i | ||||
\(682\) | −20.7142 | − | 5.55036i | −0.793189 | − | 0.212534i | ||||
\(683\) | 11.9315 | − | 4.58007i | 0.456546 | − | 0.175251i | −0.119217 | − | 0.992868i | \(-0.538039\pi\) |
0.575763 | + | 0.817617i | \(0.304705\pi\) | |||||||
\(684\) | −21.7708 | − | 4.62752i | −0.832427 | − | 0.176938i | ||||
\(685\) | 15.0623 | − | 9.18154i | 0.575502 | − | 0.350809i | ||||
\(686\) | −15.1258 | − | 29.5815i | −0.577504 | − | 1.12943i | ||||
\(687\) | 1.45828 | − | 2.86203i | 0.0556368 | − | 0.109193i | ||||
\(688\) | −15.4057 | + | 10.0046i | −0.587337 | + | 0.381421i | ||||
\(689\) | 17.3208 | − | 3.68164i | 0.659868 | − | 0.140259i | ||||
\(690\) | −21.2967 | − | 11.6281i | −0.810752 | − | 0.442675i | ||||
\(691\) | 0.556217 | − | 2.61679i | 0.0211595 | − | 0.0995476i | −0.966301 | − | 0.257416i | \(-0.917129\pi\) |
0.987460 | + | 0.157869i | \(0.0504622\pi\) | |||||||
\(692\) | 3.52155 | − | 22.2342i | 0.133869 | − | 0.845218i | ||||
\(693\) | −46.9469 | + | 39.4312i | −1.78336 | + | 1.49787i | ||||
\(694\) | −4.87815 | − | 6.71420i | −0.185172 | − | 0.254868i | ||||
\(695\) | −0.138024 | − | 0.754612i | −0.00523554 | − | 0.0286241i | ||||
\(696\) | −9.77323 | − | 1.02721i | −0.370453 | − | 0.0389362i | ||||
\(697\) | −6.53577 | + | 5.29256i | −0.247560 | + | 0.200470i | ||||
\(698\) | 2.96877 | − | 56.6475i | 0.112370 | − | 2.14414i | ||||
\(699\) | −20.5662 | −0.777886 | ||||||||
\(700\) | 16.1142 | − | 0.213115i | 0.609060 | − | 0.00805500i | ||||
\(701\) | 29.0119 | 1.09576 | 0.547882 | − | 0.836556i | \(-0.315434\pi\) | ||||
0.547882 | + | 0.836556i | \(0.315434\pi\) | |||||||
\(702\) | 2.40318 | − | 45.8554i | 0.0907021 | − | 1.73070i | ||||
\(703\) | −0.218761 | + | 0.177149i | −0.00825072 | + | 0.00668130i | ||||
\(704\) | 2.77324 | + | 0.291479i | 0.104520 | + | 0.0109855i | ||||
\(705\) | −40.0098 | − | 38.1472i | −1.50686 | − | 1.43671i | ||||
\(706\) | 13.0667 | + | 17.9848i | 0.491772 | + | 0.676867i | ||||
\(707\) | 27.8818 | + | 10.1331i | 1.04860 | + | 0.381095i | ||||
\(708\) | 0.632635 | − | 3.99430i | 0.0237759 | − | 0.150115i | ||||
\(709\) | −8.26415 | + | 38.8798i | −0.310367 | + | 1.46016i | 0.495782 | + | 0.868447i | \(0.334881\pi\) |
−0.806149 | + | 0.591713i | \(0.798452\pi\) | |||||||
\(710\) | 4.37625 | − | 23.3060i | 0.164238 | − | 0.874660i | ||||
\(711\) | 69.5751 | − | 14.7886i | 2.60927 | − | 0.554617i | ||||
\(712\) | 3.72062 | − | 2.41620i | 0.139436 | − | 0.0905508i | ||||
\(713\) | −3.50334 | + | 6.87569i | −0.131201 | + | 0.257497i | ||||
\(714\) | −2.56690 | − | 20.8238i | −0.0960638 | − | 0.779310i | ||||
\(715\) | −2.05826 | − | 8.66301i | −0.0769747 | − | 0.323978i | ||||
\(716\) | −17.6811 | − | 3.75823i | −0.660772 | − | 0.140452i | ||||
\(717\) | −6.82224 | + | 2.61881i | −0.254781 | + | 0.0978013i | ||||
\(718\) | 30.4978 | + | 8.17185i | 1.13817 | + | 0.304971i | ||||
\(719\) | 1.21225 | + | 11.5338i | 0.0452092 | + | 0.430137i | 0.993593 | + | 0.113013i | \(0.0360503\pi\) |
−0.948384 | + | 0.317123i | \(0.897283\pi\) | |||||||
\(720\) | 7.01319 | + | 91.8736i | 0.261366 | + | 3.42393i | ||||
\(721\) | 11.2920 | + | 32.7436i | 0.420535 | + | 1.21944i | ||||
\(722\) | −3.97899 | − | 25.1224i | −0.148083 | − | 0.934957i | ||||
\(723\) | 70.5149 | + | 3.69553i | 2.62248 | + | 0.137438i | ||||
\(724\) | −6.84826 | − | 11.8615i | −0.254513 | − | 0.440830i | ||||
\(725\) | 3.68586 | + | 9.73869i | 0.136889 | + | 0.361686i | ||||
\(726\) | −16.9563 | − | 9.78971i | −0.629306 | − | 0.363330i | ||||
\(727\) | −7.77204 | − | 15.2535i | −0.288249 | − | 0.565721i | 0.700791 | − | 0.713366i | \(-0.252830\pi\) |
−0.989040 | + | 0.147646i | \(0.952830\pi\) | |||||||
\(728\) | 0.372609 | + | 5.29236i | 0.0138098 | + | 0.196148i | ||||
\(729\) | −66.2863 | + | 91.2353i | −2.45505 | + | 3.37909i | ||||
\(730\) | −0.655650 | + | 4.89122i | −0.0242667 | + | 0.181032i | ||||
\(731\) | 1.98213 | − | 4.45194i | 0.0733117 | − | 0.164661i | ||||
\(732\) | 8.52893 | − | 31.8304i | 0.315238 | − | 1.17649i | ||||
\(733\) | 28.3876 | − | 35.0558i | 1.04852 | − | 1.29482i | 0.0943550 | − | 0.995539i | \(-0.469921\pi\) |
0.954166 | − | 0.299277i | \(-0.0967455\pi\) | |||||||
\(734\) | −0.219627 | − | 0.675942i | −0.00810658 | − | 0.0249495i | ||||
\(735\) | −44.3771 | − | 28.3587i | −1.63687 | − | 1.04603i | ||||
\(736\) | 3.37740 | − | 10.3946i | 0.124493 | − | 0.383149i | ||||
\(737\) | −4.65346 | − | 7.16570i | −0.171412 | − | 0.263952i | ||||
\(738\) | 95.4152 | − | 5.00050i | 3.51228 | − | 0.184071i | ||||
\(739\) | 1.55619 | + | 7.32130i | 0.0572454 | + | 0.269318i | 0.997457 | − | 0.0712729i | \(-0.0227061\pi\) |
−0.940211 | + | 0.340591i | \(0.889373\pi\) | |||||||
\(740\) | −0.287330 | − | 0.198473i | −0.0105625 | − | 0.00729603i | ||||
\(741\) | −10.0465 | + | 3.26429i | −0.369066 | + | 0.119917i | ||||
\(742\) | −57.0415 | − | 14.1932i | −2.09406 | − | 0.521049i | ||||
\(743\) | 12.2018 | − | 12.2018i | 0.447641 | − | 0.447641i | −0.446929 | − | 0.894569i | \(-0.647482\pi\) |
0.894569 | + | 0.446929i | \(0.147482\pi\) | |||||||
\(744\) | 20.1433 | − | 2.11715i | 0.738490 | − | 0.0776184i | ||||
\(745\) | −41.3898 | − | 1.18127i | −1.51641 | − | 0.0432783i | ||||
\(746\) | −6.22586 | + | 59.2351i | −0.227945 | + | 2.16875i | ||||
\(747\) | −18.7513 | + | 48.8489i | −0.686076 | + | 1.78729i | ||||
\(748\) | −3.97169 | + | 2.02368i | −0.145219 | + | 0.0739930i | ||||
\(749\) | −34.7494 | − | 24.3071i | −1.26971 | − | 0.888163i | ||||
\(750\) | 57.7865 | − | 34.8531i | 2.11007 | − | 1.27266i | ||||
\(751\) | 7.41010 | − | 12.8347i | 0.270398 | − | 0.468344i | −0.698566 | − | 0.715546i | \(-0.746178\pi\) |
0.968964 | + | 0.247203i | \(0.0795113\pi\) | |||||||
\(752\) | 19.8189 | − | 30.5184i | 0.722721 | − | 1.11289i | ||||
\(753\) | 38.0895 | + | 47.0367i | 1.38806 | + | 1.71411i | ||||
\(754\) | 4.88003 | − | 2.17273i | 0.177720 | − | 0.0791262i | ||||
\(755\) | −29.4671 | − | 18.1530i | −1.07242 | − | 0.660653i | ||||
\(756\) | −27.9491 | + | 50.4782i | −1.01650 | + | 1.83587i | ||||
\(757\) | 34.1428 | + | 34.1428i | 1.24094 | + | 1.24094i | 0.959610 | + | 0.281332i | \(0.0907762\pi\) |
0.281332 | + | 0.959610i | \(0.409224\pi\) | |||||||
\(758\) | 8.25213 | + | 6.68244i | 0.299731 | + | 0.242717i | ||||
\(759\) | 11.2723 | − | 12.5191i | 0.409158 | − | 0.454416i | ||||
\(760\) | 6.22210 | − | 2.94984i | 0.225699 | − | 0.107002i | ||||
\(761\) | 19.1966 | − | 17.2847i | 0.695877 | − | 0.626570i | −0.243321 | − | 0.969946i | \(-0.578237\pi\) |
0.939198 | + | 0.343375i | \(0.111570\pi\) | |||||||
\(762\) | 11.9570 | + | 6.09237i | 0.433155 | + | 0.220703i | ||||
\(763\) | 0.143826 | − | 4.17563i | 0.00520686 | − | 0.151168i | ||||
\(764\) | 10.3072 | + | 3.34902i | 0.372903 | + | 0.121163i | ||||
\(765\) | −14.8352 | − | 19.4281i | −0.536368 | − | 0.702424i | ||||
\(766\) | 19.3265 | + | 17.4017i | 0.698297 | + | 0.628749i | ||||
\(767\) | −0.505559 | − | 1.31703i | −0.0182547 | − | 0.0475551i | ||||
\(768\) | −66.9241 | + | 17.9323i | −2.41491 | + | 0.647074i | ||||
\(769\) | 4.99641 | − | 3.63011i | 0.180175 | − | 0.130905i | −0.494042 | − | 0.869438i | \(-0.664481\pi\) |
0.674217 | + | 0.738533i | \(0.264481\pi\) | |||||||
\(770\) | −6.45153 | + | 28.8447i | −0.232497 | + | 1.03949i | ||||
\(771\) | −63.4160 | − | 46.0744i | −2.28387 | − | 1.65933i | ||||
\(772\) | 17.8199 | + | 6.84040i | 0.641351 | + | 0.246191i | ||||
\(773\) | −35.9087 | − | 23.3194i | −1.29155 | − | 0.838739i | −0.298266 | − | 0.954483i | \(-0.596408\pi\) |
−0.993279 | + | 0.115743i | \(0.963075\pi\) | |||||||
\(774\) | −47.9478 | + | 27.6827i | −1.72345 | + | 0.995033i | ||||
\(775\) | −11.6040 | − | 18.0540i | −0.416829 | − | 0.648520i | ||||
\(776\) | − | 19.0331i | − | 0.683249i | ||||||
\(777\) | 0.428005 | + | 1.05790i | 0.0153546 | + | 0.0379519i | ||||
\(778\) | −14.6309 | + | 2.31731i | −0.524544 | + | 0.0830795i | ||||
\(779\) | −5.71680 | − | 12.8402i | −0.204826 | − | 0.460046i | ||||
\(780\) | −7.39723 | − | 10.8175i | −0.264863 | − | 0.387327i | ||||
\(781\) | 15.0402 | + | 6.69633i | 0.538181 | + | 0.239613i | ||||
\(782\) | 1.09671 | + | 4.09296i | 0.0392181 | + | 0.146364i | ||||
\(783\) | −36.8225 | − | 5.83211i | −1.31593 | − | 0.208422i | ||||
\(784\) | 12.9557 | − | 32.1547i | 0.462705 | − | 1.14838i | ||||
\(785\) | 4.11751 | − | 0.978289i | 0.146960 | − | 0.0349166i | ||||
\(786\) | 24.5529 | + | 27.2687i | 0.875772 | + | 0.972643i | ||||
\(787\) | 1.73452 | + | 33.0967i | 0.0618291 | + | 1.17977i | 0.836704 | + | 0.547655i | \(0.184479\pi\) |
−0.774875 | + | 0.632114i | \(0.782187\pi\) | |||||||
\(788\) | −0.431034 | − | 8.22463i | −0.0153550 | − | 0.292990i | ||||
\(789\) | −14.8880 | − | 16.5348i | −0.530026 | − | 0.588653i | ||||
\(790\) | 22.3320 | − | 26.0232i | 0.794535 | − | 0.925862i | ||||
\(791\) | −12.2907 | − | 53.1216i | −0.437008 | − | 1.88879i | ||||
\(792\) | −32.0986 | − | 5.08393i | −1.14058 | − | 0.180649i | ||||
\(793\) | −2.97520 | − | 11.1036i | −0.105653 | − | 0.394301i | ||||
\(794\) | −6.62085 | − | 2.94779i | −0.234965 | − | 0.104613i | ||||
\(795\) | −89.3996 | + | 26.2528i | −3.17068 | + | 0.931090i | ||||
\(796\) | −5.21710 | − | 11.7178i | −0.184915 | − | 0.415327i | ||||
\(797\) | −30.0160 | + | 4.75407i | −1.06322 | + | 0.168398i | −0.663452 | − | 0.748218i | \(-0.730910\pi\) |
−0.399769 | + | 0.916616i | \(0.630910\pi\) | |||||||
\(798\) | 34.7266 | + | 4.86364i | 1.22931 | + | 0.172171i | ||||
\(799\) | 9.65383i | 0.341528i | ||||||||
\(800\) | 20.2329 | + | 22.6847i | 0.715342 | + | 0.802024i | ||||
\(801\) | 22.7939 | − | 13.1601i | 0.805382 | − | 0.464988i | ||||
\(802\) | −5.91374 | − | 3.84043i | −0.208822 | − | 0.135610i | ||||
\(803\) | −3.19865 | − | 1.22785i | −0.112878 | − | 0.0433298i | ||||
\(804\) | −10.1733 | − | 7.39135i | −0.358786 | − | 0.260673i | ||||
\(805\) | 9.67002 | + | 4.42881i | 0.340823 | + | 0.156095i | ||||
\(806\) | −8.90724 | + | 6.47149i | −0.313744 | + | 0.227948i | ||||
\(807\) | −33.1519 | + | 8.88302i | −1.16700 | + | 0.312697i | ||||
\(808\) | 5.63546 | + | 14.6809i | 0.198255 | + | 0.516472i | ||||
\(809\) | −34.3619 | − | 30.9396i | −1.20810 | − | 1.08778i | −0.993820 | − | 0.111004i | \(-0.964593\pi\) |
−0.214279 | − | 0.976773i | \(-0.568740\pi\) | |||||||
\(810\) | 3.37086 | + | 141.442i | 0.118440 | + | 4.96977i | ||||
\(811\) | −50.5167 | − | 16.4139i | −1.77388 | − | 0.576369i | −0.775401 | − | 0.631469i | \(-0.782452\pi\) |
−0.998481 | + | 0.0550996i | \(0.982452\pi\) | |||||||
\(812\) | −6.70841 | − | 0.231066i | −0.235419 | − | 0.00810881i | ||||
\(813\) | −11.0883 | − | 5.64979i | −0.388885 | − | 0.198147i | ||||
\(814\) | 0.475975 | − | 0.428570i | 0.0166829 | − | 0.0150214i | ||||
\(815\) | 10.5543 | − | 19.3301i | 0.369702 | − | 0.677102i | ||||
\(816\) | 14.6488 | − | 16.2691i | 0.512810 | − | 0.569533i | ||||
\(817\) | 6.32947 | + | 5.12550i | 0.221440 | + | 0.179319i | ||||
\(818\) | −49.8712 | − | 49.8712i | −1.74370 | − | 1.74370i | ||||
\(819\) | 0.564322 | + | 31.4715i | 0.0197190 | + | 1.09970i | ||||
\(820\) | 13.2856 | − | 11.2930i | 0.463953 | − | 0.394369i | ||||
\(821\) | −16.1959 | + | 7.21089i | −0.565241 | + | 0.251662i | −0.669404 | − | 0.742899i | \(-0.733450\pi\) |
0.104163 | + | 0.994560i | \(0.466784\pi\) | |||||||
\(822\) | 29.9662 | + | 37.0052i | 1.04519 | + | 1.29070i | ||||
\(823\) | −15.2848 | + | 23.5365i | −0.532795 | + | 0.820432i | −0.997897 | − | 0.0648249i | \(-0.979351\pi\) |
0.465102 | + | 0.885257i | \(0.346018\pi\) | |||||||
\(824\) | −9.17990 | + | 15.9001i | −0.319797 | + | 0.553905i | ||||
\(825\) | 14.2683 | + | 44.6265i | 0.496757 | + | 1.55370i | ||||
\(826\) | −0.405922 | + | 4.66528i | −0.0141238 | + | 0.162326i | ||||
\(827\) | −44.0345 | + | 22.4367i | −1.53123 | + | 0.780200i | −0.997841 | − | 0.0656703i | \(-0.979081\pi\) |
−0.533388 | + | 0.845871i | \(0.679081\pi\) | |||||||
\(828\) | 6.53060 | − | 17.0128i | 0.226954 | − | 0.591236i | ||||
\(829\) | −3.75520 | + | 35.7283i | −0.130423 | + | 1.24090i | 0.712038 | + | 0.702141i | \(0.247772\pi\) |
−0.842462 | + | 0.538756i | \(0.818894\pi\) | |||||||
\(830\) | 7.10757 | + | 24.2037i | 0.246707 | + | 0.840122i | ||||
\(831\) | 44.7291 | − | 4.70122i | 1.55164 | − | 0.163084i | ||||
\(832\) | 1.01232 | − | 1.01232i | 0.0350959 | − | 0.0350959i | ||||
\(833\) | 1.76344 | + | 9.02624i | 0.0610996 | + | 0.312741i | ||||
\(834\) | 1.96940 | − | 0.639896i | 0.0681946 | − | 0.0221578i | ||||
\(835\) | 5.43314 | + | 15.4582i | 0.188022 | + | 0.534952i | ||||
\(836\) | −1.54888 | − | 7.28693i | −0.0535693 | − | 0.252024i | ||||
\(837\) | 76.7345 | − | 4.02148i | 2.65233 | − | 0.139003i | ||||
\(838\) | 8.38710 | + | 12.9150i | 0.289728 | + | 0.446141i | ||||
\(839\) | −12.2133 | + | 37.5885i | −0.421649 | + | 1.29770i | 0.484519 | + | 0.874781i | \(0.338995\pi\) |
−0.906167 | + | 0.422920i | \(0.861005\pi\) | |||||||
\(840\) | −4.07448 | − | 27.6174i | −0.140583 | − | 0.952889i | ||||
\(841\) | 7.62125 | + | 23.4558i | 0.262802 | + | 0.808821i | ||||
\(842\) | −19.5060 | + | 24.0879i | −0.672220 | + | 0.830122i | ||||
\(843\) | 18.9639 | − | 70.7741i | 0.653150 | − | 2.43759i | ||||
\(844\) | 7.50007 | − | 16.8454i | 0.258163 | − | 0.579844i | ||||
\(845\) | 22.0862 | + | 10.5984i | 0.759787 | + | 0.364596i | ||||
\(846\) | 64.4670 | − | 88.7312i | 2.21642 | − | 3.05064i | ||||
\(847\) | 7.71555 | + | 3.75858i | 0.265110 | + | 0.129146i | ||||
\(848\) | −27.8445 | − | 54.6478i | −0.956183 | − | 1.87661i | ||||
\(849\) | 58.1370 | + | 33.5654i | 1.99526 | + | 1.15196i | ||||
\(850\) | −11.3687 | − | 3.10364i | −0.389944 | − | 0.106454i | ||||
\(851\) | −0.115237 | − | 0.199596i | −0.00395027 | − | 0.00684207i | ||||
\(852\) | 24.1973 | + | 1.26812i | 0.828984 | + | 0.0434452i | ||||
\(853\) | −8.40569 | − | 53.0714i | −0.287805 | − | 1.81713i | −0.531249 | − | 0.847215i | \(-0.678277\pi\) |
0.243444 | − | 0.969915i | \(-0.421723\pi\) | |||||||
\(854\) | −7.26319 | + | 37.4611i | −0.248541 | + | 1.28189i | ||||
\(855\) | 37.7802 | − | 15.5450i | 1.29205 | − | 0.531629i | ||||
\(856\) | −2.34970 | − | 22.3559i | −0.0803112 | − | 0.764110i | ||||
\(857\) | −33.7704 | − | 9.04875i | −1.15357 | − | 0.309099i | −0.369178 | − | 0.929359i | \(-0.620361\pi\) |
−0.784397 | + | 0.620260i | \(0.787027\pi\) | |||||||
\(858\) | 22.4389 | − | 8.61350i | 0.766053 | − | 0.294060i | ||||
\(859\) | 17.6446 | + | 3.75048i | 0.602027 | + | 0.127965i | 0.498836 | − | 0.866697i | \(-0.333761\pi\) |
0.103192 | + | 0.994661i | \(0.467094\pi\) | |||||||
\(860\) | −3.88854 | + | 9.32567i | −0.132598 | + | 0.318003i | ||||
\(861\) | −56.5536 | + | 6.97123i | −1.92734 | + | 0.237579i | ||||
\(862\) | 29.1216 | − | 57.1543i | 0.991884 | − | 1.94668i | ||||
\(863\) | −33.4803 | + | 21.7424i | −1.13968 | + | 0.740120i | −0.969451 | − | 0.245284i | \(-0.921119\pi\) |
−0.170233 | + | 0.985404i | \(0.554452\pi\) | |||||||
\(864\) | −106.452 | + | 22.6272i | −3.62158 | + | 0.769791i | ||||
\(865\) | 17.7009 | + | 37.3364i | 0.601848 | + | 1.26948i | ||||
\(866\) | 4.18169 | − | 19.6733i | 0.142099 | − | 0.668525i | ||||
\(867\) | 8.03923 | − | 50.7577i | 0.273027 | − | 1.72382i | ||||
\(868\) | 13.6234 | − | 2.40886i | 0.462408 | − | 0.0817619i | ||||
\(869\) | 13.9939 | + | 19.2609i | 0.474710 | + | 0.653382i | ||||
\(870\) | −24.7331 | + | 13.3538i | −0.838532 | + | 0.452735i | ||||
\(871\) | −4.36256 | − | 0.458524i | −0.147820 | − | 0.0155365i | ||||
\(872\) | 1.72116 | − | 1.39377i | 0.0582860 | − | 0.0471990i | ||||
\(873\) | 5.90982 | − | 112.766i | 0.200017 | − | 3.81655i | ||||
\(874\) | −7.08173 | −0.239543 | ||||||||
\(875\) | −24.1944 | + | 17.0186i | −0.817920 | + | 0.575333i | ||||
\(876\) | −5.04258 | −0.170373 | ||||||||
\(877\) | −0.192873 | + | 3.68024i | −0.00651286 | + | 0.124273i | 0.993438 | + | 0.114371i | \(0.0364852\pi\) |
−0.999951 | + | 0.00990186i | \(0.996848\pi\) | |||||||
\(878\) | −22.9636 | + | 18.5956i | −0.774985 | + | 0.627570i | ||||
\(879\) | 80.1966 | + | 8.42901i | 2.70497 | + | 0.284303i | ||||
\(880\) | −27.1378 | + | 14.6521i | −0.914814 | + | 0.493921i | ||||
\(881\) | −2.33356 | − | 3.21186i | −0.0786195 | − | 0.108210i | 0.767896 | − | 0.640575i | \(-0.221304\pi\) |
−0.846515 | + | 0.532364i | \(0.821304\pi\) | |||||||
\(882\) | 44.0677 | − | 94.7388i | 1.48384 | − | 3.19002i | ||||
\(883\) | −1.62857 | + | 10.2824i | −0.0548057 | + | 0.346030i | 0.945014 | + | 0.327031i | \(0.106048\pi\) |
−0.999819 | + | 0.0189993i | \(0.993952\pi\) | |||||||
\(884\) | −0.475810 | + | 2.23851i | −0.0160032 | + | 0.0752893i | ||||
\(885\) | 3.17990 | + | 6.70736i | 0.106891 | + | 0.225466i | ||||
\(886\) | 18.9564 | − | 4.02932i | 0.636854 | − | 0.135367i | ||||
\(887\) | 40.1413 | − | 26.0680i | 1.34781 | − | 0.875279i | 0.349710 | − | 0.936858i | \(-0.386280\pi\) |
0.998102 | + | 0.0615788i | \(0.0196135\pi\) | |||||||
\(888\) | −0.274631 | + | 0.538993i | −0.00921601 | + | 0.0180874i | ||||
\(889\) | −5.41576 | − | 2.29581i | −0.181639 | − | 0.0769991i | ||||
\(890\) | 4.88344 | − | 11.7117i | 0.163693 | − | 0.392576i | ||||
\(891\) | −96.0809 | − | 20.4226i | −3.21883 | − | 0.684184i | ||||
\(892\) | 25.9246 | − | 9.95153i | 0.868020 | − | 0.333202i | ||||
\(893\) | −15.5844 | − | 4.17582i | −0.521511 | − | 0.139738i | ||||
\(894\) | −11.6832 | − | 111.158i | −0.390745 | − | 3.71769i | ||||
\(895\) | 30.6830 | − | 12.6248i | 1.02562 | − | 0.422002i | ||||
\(896\) | 25.9187 | − | 8.93832i | 0.865883 | − | 0.298608i | ||||
\(897\) | −1.35299 | − | 8.54243i | −0.0451749 | − | 0.285223i | ||||
\(898\) | 41.6696 | + | 2.18381i | 1.39053 | + | 0.0728747i | ||||
\(899\) | 4.46954 | + | 7.74147i | 0.149067 | + | 0.258192i | ||||
\(900\) | 31.7094 | + | 39.5367i | 1.05698 | + | 1.31789i | ||||
\(901\) | 14.0913 | + | 8.13562i | 0.469450 | + | 0.271037i | ||||
\(902\) | 14.5188 | + | 28.4947i | 0.483423 | + | 0.948771i | ||||
\(903\) | 27.3649 | − | 18.4768i | 0.910648 | − | 0.614870i | ||||
\(904\) | 16.9885 | − | 23.3826i | 0.565028 | − | 0.777695i | ||||
\(905\) | 22.6656 | + | 10.8764i | 0.753429 | + | 0.361545i | ||||
\(906\) | 37.9988 | − | 85.3468i | 1.26243 | − | 2.83546i | ||||
\(907\) | −1.60740 | + | 5.99891i | −0.0533730 | + | 0.199191i | −0.987464 | − | 0.157844i | \(-0.949546\pi\) |
0.934091 | + | 0.357035i | \(0.116212\pi\) | |||||||
\(908\) | −10.2022 | + | 12.5986i | −0.338571 | + | 0.418101i | ||||
\(909\) | 28.8302 | + | 88.7301i | 0.956236 | + | 2.94299i | ||||
\(910\) | 9.42431 | + | 11.8937i | 0.312413 | + | 0.394273i | ||||
\(911\) | 13.3336 | − | 41.0366i | 0.441762 | − | 1.35960i | −0.444234 | − | 0.895911i | \(-0.646524\pi\) |
0.885996 | − | 0.463693i | \(-0.153476\pi\) | |||||||
\(912\) | 19.9272 | + | 30.6851i | 0.659854 | + | 1.01609i | ||||
\(913\) | −17.4895 | + | 0.916587i | −0.578819 | + | 0.0303346i | ||||
\(914\) | −3.96945 | − | 18.6748i | −0.131298 | − | 0.617708i | ||||
\(915\) | 20.0565 | + | 57.0640i | 0.663047 | + | 1.88648i | ||||
\(916\) | 1.10610 | − | 0.359393i | 0.0365465 | − | 0.0118747i | ||||
\(917\) | −11.5753 | − | 11.1675i | −0.382249 | − | 0.368782i | ||||
\(918\) | 29.8352 | − | 29.8352i | 0.984708 | − | 0.984708i | ||||
\(919\) | −37.6803 | + | 3.96036i | −1.24296 | + | 0.130640i | −0.703085 | − | 0.711106i | \(-0.748195\pi\) |
−0.539874 | + | 0.841746i | \(0.681528\pi\) | |||||||
\(920\) | 1.58853 | + | 5.40948i | 0.0523722 | + | 0.178345i | ||||
\(921\) | −2.17990 | + | 20.7404i | −0.0718302 | + | 0.683419i | ||||
\(922\) | 6.13042 | − | 15.9703i | 0.201895 | − | 0.525954i | ||||
\(923\) | 7.53121 | − | 3.83734i | 0.247893 | − | 0.126308i | ||||
\(924\) | −30.0883 | − | 2.61795i | −0.989832 | − | 0.0861243i | ||||
\(925\) | 0.640979 | + | 0.00301567i | 0.0210753 | + | 9.91547e-5i | ||||
\(926\) | −27.9055 | + | 48.3337i | −0.917031 | + | 1.58834i | ||||
\(927\) | −59.3254 | + | 91.3531i | −1.94850 | + | 3.00043i | ||||
\(928\) | −7.96764 | − | 9.83921i | −0.261551 | − | 0.322988i | ||||
\(929\) | −18.8136 | + | 8.37634i | −0.617253 | + | 0.274819i | −0.691449 | − | 0.722425i | \(-0.743027\pi\) |
0.0741964 | + | 0.997244i | \(0.476361\pi\) | |||||||
\(930\) | 44.1404 | − | 37.5203i | 1.44742 | − | 1.23034i | ||||
\(931\) | −15.3340 | − | 1.05759i | −0.502552 | − | 0.0346611i | ||||
\(932\) | −5.26542 | − | 5.26542i | −0.172475 | − | 0.172475i | ||||
\(933\) | 13.7697 | + | 11.1505i | 0.450800 | + | 0.365051i | ||||
\(934\) | −31.1840 | + | 34.6333i | −1.02037 | + | 1.13324i | ||||
\(935\) | 3.92095 | − | 7.18115i | 0.128229 | − | 0.234849i | ||||
\(936\) | −12.3994 | + | 11.1645i | −0.405287 | + | 0.364922i | ||||
\(937\) | −32.8384 | − | 16.7320i | −1.07278 | − | 0.546610i | −0.173884 | − | 0.984766i | \(-0.555632\pi\) |
−0.898899 | + | 0.438156i | \(0.855632\pi\) | |||||||
\(938\) | 12.3524 | + | 7.71044i | 0.403319 | + | 0.251755i | ||||
\(939\) | 80.1655 | + | 26.0473i | 2.61610 | + | 0.850023i | ||||
\(940\) | −0.476879 | − | 20.0100i | −0.0155541 | − | 0.652654i | ||||
\(941\) | 10.5157 | + | 9.46840i | 0.342803 | + | 0.308661i | 0.822491 | − | 0.568778i | \(-0.192584\pi\) |
−0.479688 | + | 0.877439i | \(0.659250\pi\) | |||||||
\(942\) | 4.09398 | + | 10.6652i | 0.133389 | + | 0.347491i | ||||
\(943\) | 11.1157 | − | 2.97845i | 0.361978 | − | 0.0969917i | ||||
\(944\) | −3.95303 | + | 2.87204i | −0.128660 | + | 0.0934770i | ||||
\(945\) | −9.95297 | − | 105.439i | −0.323770 | − | 3.42993i | ||||
\(946\) | −14.9922 | − | 10.8925i | −0.487439 | − | 0.354145i | ||||
\(947\) | −6.08066 | − | 2.33415i | −0.197595 | − | 0.0758495i | 0.257558 | − | 0.966263i | \(-0.417082\pi\) |
−0.455153 | + | 0.890413i | \(0.650415\pi\) | |||||||
\(948\) | 29.3866 | + | 19.0839i | 0.954432 | + | 0.619816i | ||||
\(949\) | −1.52337 | + | 0.879519i | −0.0494507 | + | 0.0285504i | ||||
\(950\) | 9.92788 | − | 17.0103i | 0.322103 | − | 0.551886i | ||||
\(951\) | − | 8.07745i | − | 0.261929i | ||||||
\(952\) | −2.99957 | + | 3.84304i | −0.0972165 | + | 0.124554i | ||||
\(953\) | 22.4339 | − | 3.55319i | 0.726706 | − | 0.115099i | 0.217889 | − | 0.975974i | \(-0.430083\pi\) |
0.508817 | + | 0.860875i | \(0.330083\pi\) | |||||||
\(954\) | −75.1888 | − | 168.877i | −2.43433 | − | 5.46759i | ||||
\(955\) | −19.0867 | + | 5.60494i | −0.617632 | + | 0.181372i | ||||
\(956\) | −2.41712 | − | 1.07617i | −0.0781753 | − | 0.0348059i | ||||
\(957\) | −5.05073 | − | 18.8496i | −0.163267 | − | 0.609321i | ||||
\(958\) | −53.6636 | − | 8.49948i | −1.73379 | − | 0.274606i | ||||
\(959\) | −14.2420 | − | 15.2581i | −0.459898 | − | 0.492710i | ||||
\(960\) | −4.90575 | + | 5.71661i | −0.158333 | + | 0.184503i | ||||
\(961\) | 8.41493 | + | 9.34573i | 0.271449 | + | 0.301475i | ||||
\(962\) | −0.0172096 | − | 0.328379i | −0.000554861 | − | 0.0105874i | ||||
\(963\) | −6.97979 | − | 133.182i | −0.224921 | − | 4.29174i | ||||
\(964\) | 17.1073 | + | 18.9996i | 0.550988 | + | 0.611934i | ||||
\(965\) | −34.0867 | + | 8.09874i | −1.09729 | + | 0.260708i | ||||
\(966\) | −8.38094 | + | 27.4596i | −0.269652 | + | 0.883497i | ||||
\(967\) | 14.8670 | + | 2.35470i | 0.478090 | + | 0.0757220i | 0.390829 | − | 0.920463i | \(-0.372189\pi\) |
0.0872612 | + | 0.996185i | \(0.472189\pi\) | |||||||
\(968\) | 1.17745 | + | 4.39431i | 0.0378447 | + | 0.141238i | ||||
\(969\) | −8.86738 | − | 3.94801i | −0.284861 | − | 0.126828i | ||||
\(970\) | −30.7292 | − | 44.9374i | −0.986656 | − | 1.44285i | ||||
\(971\) | 19.2083 | + | 43.1426i | 0.616425 | + | 1.38451i | 0.904322 | + | 0.426851i | \(0.140377\pi\) |
−0.287897 | + | 0.957661i | \(0.592956\pi\) | |||||||
\(972\) | −78.1685 | + | 12.3807i | −2.50725 | + | 0.397110i | ||||
\(973\) | −0.841426 | + | 0.340424i | −0.0269749 | + | 0.0109135i | ||||
\(974\) | 52.9606i | 1.69697i | ||||||||
\(975\) | 22.4156 | + | 8.72576i | 0.717874 | + | 0.279448i | ||||
\(976\) | −34.4811 | + | 19.9076i | −1.10371 | + | 0.637228i | ||||
\(977\) | −14.1121 | − | 9.16452i | −0.451487 | − | 0.293199i | 0.298795 | − | 0.954317i | \(-0.403415\pi\) |
−0.750282 | + | 0.661118i | \(0.770082\pi\) | |||||||
\(978\) | 55.5009 | + | 21.3048i | 1.77472 | + | 0.681252i | ||||
\(979\) | 7.12715 | + | 5.17818i | 0.227785 | + | 0.165495i | ||||
\(980\) | −4.10105 | − | 18.6220i | −0.131003 | − | 0.594859i | ||||
\(981\) | 10.6302 | − | 7.72329i | 0.339396 | − | 0.246586i | ||||
\(982\) | 50.7782 | − | 13.6060i | 1.62040 | − | 0.434184i | ||||
\(983\) | 14.2858 | + | 37.2158i | 0.455646 | + | 1.18700i | 0.948469 | + | 0.316869i | \(0.102632\pi\) |
−0.492823 | + | 0.870129i | \(0.664035\pi\) | |||||||
\(984\) | −22.4465 | − | 20.2109i | −0.715569 | − | 0.644301i | ||||
\(985\) | 9.17448 | + | 12.0148i | 0.292323 | + | 0.382824i | ||||
\(986\) | 4.66828 | + | 1.51682i | 0.148668 | + | 0.0483053i | ||||
\(987\) | −34.6353 | + | 55.4868i | −1.10245 | + | 1.76617i | ||||
\(988\) | −3.40786 | − | 1.73639i | −0.108418 | − | 0.0552419i | ||||
\(989\) | −4.95556 | + | 4.46200i | −0.157578 | + | 0.141883i | ||||
\(990\) | −83.9933 | + | 39.8205i | −2.66948 | + | 1.26558i | ||||
\(991\) | 23.0510 | − | 25.6007i | 0.732239 | − | 0.813234i | −0.255915 | − | 0.966699i | \(-0.582377\pi\) |
0.988154 | + | 0.153465i | \(0.0490433\pi\) | |||||||
\(992\) | 20.2793 | + | 16.4219i | 0.643869 | + | 0.521395i | ||||
\(993\) | 68.6777 | + | 68.6777i | 2.17942 | + | 2.17942i | ||||
\(994\) | −28.0535 | + | 0.503033i | −0.889803 | + | 0.0159552i | ||||
\(995\) | 20.0452 | + | 12.3487i | 0.635477 | + | 0.391480i | ||||
\(996\) | −23.5474 | + | 10.4840i | −0.746127 | + | 0.332197i | ||||
\(997\) | −4.61203 | − | 5.69539i | −0.146065 | − | 0.180375i | 0.698863 | − | 0.715256i | \(-0.253690\pi\) |
−0.844927 | + | 0.534881i | \(0.820356\pi\) | |||||||
\(998\) | 3.47168 | − | 5.34592i | 0.109894 | − | 0.169222i | ||||
\(999\) | −1.14747 | + | 1.98748i | −0.0363044 | + | 0.0628810i |
(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 | 175.2.x.a.47.15 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.a.243.15 | 288 | |||
5.3 | odd | 4 | 875.2.bb.b.243.4 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.257.4 | 288 | |||
7.3 | odd | 6 | inner | 175.2.x.a.122.15 | yes | 288 | |
25.6 | even | 5 | 875.2.bb.b.607.15 | 288 | |||
25.8 | odd | 20 | inner | 175.2.x.a.33.15 | ✓ | 288 | |
25.17 | odd | 20 | 875.2.bb.c.768.4 | 288 | |||
25.19 | even | 10 | 875.2.bb.a.607.4 | 288 | |||
35.3 | even | 12 | 875.2.bb.b.493.15 | 288 | |||
35.17 | even | 12 | 875.2.bb.a.493.4 | 288 | |||
35.24 | odd | 6 | 875.2.bb.c.507.4 | 288 | |||
175.17 | even | 60 | 875.2.bb.c.143.4 | 288 | |||
175.31 | odd | 30 | 875.2.bb.b.857.4 | 288 | |||
175.94 | odd | 30 | 875.2.bb.a.857.15 | 288 | |||
175.108 | even | 60 | inner | 175.2.x.a.108.15 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.15 | ✓ | 288 | 25.8 | odd | 20 | inner | |
175.2.x.a.47.15 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.108.15 | yes | 288 | 175.108 | even | 60 | inner | |
175.2.x.a.122.15 | yes | 288 | 7.3 | odd | 6 | inner | |
875.2.bb.a.243.15 | 288 | 5.2 | odd | 4 | |||
875.2.bb.a.493.4 | 288 | 35.17 | even | 12 | |||
875.2.bb.a.607.4 | 288 | 25.19 | even | 10 | |||
875.2.bb.a.857.15 | 288 | 175.94 | odd | 30 | |||
875.2.bb.b.243.4 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.493.15 | 288 | 35.3 | even | 12 | |||
875.2.bb.b.607.15 | 288 | 25.6 | even | 5 | |||
875.2.bb.b.857.4 | 288 | 175.31 | odd | 30 | |||
875.2.bb.c.143.4 | 288 | 175.17 | even | 60 | |||
875.2.bb.c.257.4 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.507.4 | 288 | 35.24 | odd | 6 | |||
875.2.bb.c.768.4 | 288 | 25.17 | odd | 20 |