Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(17,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bg (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 17.8 | ||
Character | \(\chi\) | \(=\) | 441.17 |
Dual form | 441.2.bg.a.26.8 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.601956 | + | 0.0451104i | −0.425647 | + | 0.0318978i | −0.285832 | − | 0.958280i | \(-0.592270\pi\) |
−0.139815 | + | 0.990178i | \(0.544651\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.61735 | + | 0.243776i | −0.808673 | + | 0.121888i | ||||
\(5\) | −1.12371 | + | 1.04265i | −0.502538 | + | 0.466287i | −0.890236 | − | 0.455499i | \(-0.849461\pi\) |
0.387698 | + | 0.921786i | \(0.373270\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.186554 | − | 2.63917i | −0.0705107 | − | 0.997511i | ||||
\(8\) | 2.13959 | − | 0.488348i | 0.756460 | − | 0.172657i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.629389 | − | 0.678320i | 0.199030 | − | 0.214504i | ||||
\(11\) | 0.794667 | + | 1.16556i | 0.239601 | + | 0.351430i | 0.927139 | − | 0.374719i | \(-0.122261\pi\) |
−0.687538 | + | 0.726149i | \(0.741308\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.574735 | − | 1.19345i | 0.159403 | − | 0.331003i | −0.805936 | − | 0.592002i | \(-0.798338\pi\) |
0.965339 | + | 0.260999i | \(0.0840519\pi\) | |||||||
\(14\) | 0.231351 | + | 1.58025i | 0.0618311 | + | 0.422339i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.85999 | − | 0.573730i | 0.464997 | − | 0.143432i | ||||
\(17\) | 2.32250 | + | 5.91762i | 0.563288 | + | 1.43523i | 0.874562 | + | 0.484914i | \(0.161149\pi\) |
−0.311274 | + | 0.950320i | \(0.600756\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.74233 | − | 2.16064i | 0.858549 | − | 0.495684i | −0.00497684 | − | 0.999988i | \(-0.501584\pi\) |
0.863526 | + | 0.504304i | \(0.168251\pi\) | |||||||
\(20\) | 1.56325 | − | 1.96026i | 0.349554 | − | 0.438327i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.530933 | − | 0.665769i | −0.113195 | − | 0.141942i | ||||
\(23\) | 2.23055 | + | 0.875428i | 0.465103 | + | 0.182539i | 0.586308 | − | 0.810088i | \(-0.300581\pi\) |
−0.121205 | + | 0.992627i | \(0.538676\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.198047 | + | 2.64275i | −0.0396093 | + | 0.528550i | ||||
\(26\) | −0.292128 | + | 0.744331i | −0.0572911 | + | 0.145975i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.945087 | + | 4.22297i | 0.178605 | + | 0.798066i | ||||
\(29\) | 5.49332 | + | 4.38078i | 1.02008 | + | 0.813490i | 0.982586 | − | 0.185807i | \(-0.0594899\pi\) |
0.0374977 | + | 0.999297i | \(0.488061\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.56080 | + | 0.901126i | 0.280327 | + | 0.161847i | 0.633571 | − | 0.773684i | \(-0.281588\pi\) |
−0.353244 | + | 0.935531i | \(0.614922\pi\) | |||||||
\(32\) | −5.17957 | + | 2.03283i | −0.915627 | + | 0.359357i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.66499 | − | 3.45738i | −0.285543 | − | 0.592936i | ||||
\(35\) | 2.96136 | + | 2.77115i | 0.500561 | + | 0.468409i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.91545 | + | 1.34379i | 1.46569 | + | 0.220917i | 0.832908 | − | 0.553412i | \(-0.186674\pi\) |
0.632783 | + | 0.774329i | \(0.281912\pi\) | |||||||
\(38\) | −2.15525 | + | 1.46942i | −0.349628 | + | 0.238372i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.89510 | + | 2.77961i | −0.299642 | + | 0.439494i | ||||
\(41\) | −1.88456 | − | 8.25681i | −0.294319 | − | 1.28950i | −0.878449 | − | 0.477837i | \(-0.841421\pi\) |
0.584129 | − | 0.811661i | \(-0.301436\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.93041 | − | 8.45767i | 0.294384 | − | 1.28978i | −0.583971 | − | 0.811774i | \(-0.698502\pi\) |
0.878356 | − | 0.478008i | \(-0.158641\pi\) | |||||||
\(44\) | −1.56939 | − | 1.69140i | −0.236594 | − | 0.254988i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.38219 | − | 0.426348i | −0.203792 | − | 0.0628616i | ||||
\(47\) | −0.0438619 | − | 0.585297i | −0.00639792 | − | 0.0853743i | 0.993091 | − | 0.117349i | \(-0.0374395\pi\) |
−0.999489 | + | 0.0319744i | \(0.989820\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.93040 | + | 0.984693i | −0.990056 | + | 0.140670i | ||||
\(50\) | − | 1.59975i | − | 0.226239i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.638612 | + | 2.07033i | −0.0885595 | + | 0.287103i | ||||
\(53\) | −0.517738 | − | 3.43497i | −0.0711168 | − | 0.471829i | −0.995835 | − | 0.0911763i | \(-0.970937\pi\) |
0.924718 | − | 0.380653i | \(-0.124301\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.10825 | − | 0.481194i | −0.284276 | − | 0.0648841i | ||||
\(56\) | −1.68798 | − | 5.55564i | −0.225566 | − | 0.742403i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.50435 | − | 2.38923i | −0.460144 | − | 0.313721i | ||||
\(59\) | 2.80416 | + | 2.60188i | 0.365071 | + | 0.338737i | 0.841284 | − | 0.540594i | \(-0.181800\pi\) |
−0.476213 | + | 0.879330i | \(0.657991\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.728803 | + | 4.83529i | −0.0933137 | + | 0.619096i | 0.892474 | + | 0.451099i | \(0.148968\pi\) |
−0.985788 | + | 0.167997i | \(0.946270\pi\) | |||||||
\(62\) | −0.980180 | − | 0.472030i | −0.124483 | − | 0.0599478i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.481233 | + | 0.231750i | −0.0601542 | + | 0.0289687i | ||||
\(65\) | 0.598515 | + | 1.94034i | 0.0742367 | + | 0.240669i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.31539 | + | 5.74243i | −0.405040 | + | 0.701549i | −0.994326 | − | 0.106375i | \(-0.966076\pi\) |
0.589286 | + | 0.807924i | \(0.299409\pi\) | |||||||
\(68\) | −5.19885 | − | 9.00467i | −0.630453 | − | 1.09198i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.90761 | − | 1.53452i | −0.228004 | − | 0.183410i | ||||
\(71\) | 3.54100 | − | 2.82385i | 0.420239 | − | 0.335130i | −0.390431 | − | 0.920632i | \(-0.627674\pi\) |
0.810671 | + | 0.585502i | \(0.199103\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.3796 | + | 0.777843i | 1.21484 | + | 0.0910397i | 0.666687 | − | 0.745338i | \(-0.267712\pi\) |
0.548153 | + | 0.836378i | \(0.315331\pi\) | |||||||
\(74\) | −5.42733 | − | 0.406722i | −0.630914 | − | 0.0472805i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.52593 | + | 4.40678i | −0.633868 | + | 0.505493i | ||||
\(77\) | 2.92786 | − | 2.31470i | 0.333661 | − | 0.263784i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.25290 | + | 2.17009i | 0.140963 | + | 0.244154i | 0.927859 | − | 0.372930i | \(-0.121647\pi\) |
−0.786897 | + | 0.617085i | \(0.788314\pi\) | |||||||
\(80\) | −1.49188 | + | 2.58402i | −0.166798 | + | 0.288902i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.50689 | + | 4.88522i | 0.166408 | + | 0.539483i | ||||
\(83\) | 10.1383 | − | 4.88235i | 1.11282 | − | 0.535908i | 0.215156 | − | 0.976580i | \(-0.430974\pi\) |
0.897668 | + | 0.440672i | \(0.145260\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.77982 | − | 4.22814i | −0.952305 | − | 0.458606i | ||||
\(86\) | −0.780492 | + | 5.17822i | −0.0841626 | + | 0.558382i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.26946 | + | 2.10575i | 0.241926 | + | 0.224474i | ||||
\(89\) | −11.4610 | − | 7.81400i | −1.21487 | − | 0.828282i | −0.225574 | − | 0.974226i | \(-0.572426\pi\) |
−0.989293 | + | 0.145944i | \(0.953378\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.25693 | − | 1.29418i | −0.341419 | − | 0.135667i | ||||
\(92\) | −3.82099 | − | 0.872115i | −0.398365 | − | 0.0909243i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0528059 | + | 0.350344i | 0.00544651 | + | 0.0361353i | ||||
\(95\) | −1.95251 | + | 6.32987i | −0.200323 | + | 0.649431i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.6296i | 1.58694i | 0.608607 | + | 0.793472i | \(0.291729\pi\) | ||||
−0.608607 | + | 0.793472i | \(0.708271\pi\) | |||||||
\(98\) | 4.12737 | − | 0.905375i | 0.416928 | − | 0.0914566i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.323928 | − | 4.32252i | −0.0323928 | − | 0.432252i | ||||
\(101\) | −11.4089 | − | 3.51918i | −1.13523 | − | 0.350172i | −0.330495 | − | 0.943808i | \(-0.607216\pi\) |
−0.804733 | + | 0.593636i | \(0.797692\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.23533 | − | 5.64234i | −0.515852 | − | 0.555956i | 0.420376 | − | 0.907350i | \(-0.361898\pi\) |
−0.936228 | + | 0.351394i | \(0.885708\pi\) | |||||||
\(104\) | 0.646880 | − | 2.83417i | 0.0634318 | − | 0.277913i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.466608 | + | 2.04434i | 0.0453210 | + | 0.198564i | ||||
\(107\) | −8.82674 | + | 12.9465i | −0.853313 | + | 1.25158i | 0.112840 | + | 0.993613i | \(0.464005\pi\) |
−0.966154 | + | 0.257968i | \(0.916947\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.526899 | + | 0.359234i | −0.0504678 | + | 0.0344084i | −0.588291 | − | 0.808649i | \(-0.700199\pi\) |
0.537823 | + | 0.843058i | \(0.319247\pi\) | |||||||
\(110\) | 1.29078 | + | 0.194554i | 0.123071 | + | 0.0185500i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.86116 | − | 4.80178i | −0.175863 | − | 0.453726i | ||||
\(113\) | 4.60166 | + | 9.55545i | 0.432888 | + | 0.898901i | 0.997302 | + | 0.0734093i | \(0.0233879\pi\) |
−0.564414 | + | 0.825492i | \(0.690898\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.41926 | + | 1.34196i | −0.318848 | + | 0.125139i | ||||
\(116\) | −9.95252 | − | 5.74609i | −0.924069 | − | 0.533511i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.80536 | − | 1.43972i | −0.166196 | − | 0.132537i | ||||
\(119\) | 15.1843 | − | 7.23341i | 1.39194 | − | 0.663085i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.29171 | − | 8.38714i | 0.299247 | − | 0.762468i | ||||
\(122\) | 0.220586 | − | 2.94351i | 0.0199709 | − | 0.266493i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.74402 | − | 1.07695i | −0.246420 | − | 0.0967128i | ||||
\(125\) | −7.31171 | − | 9.16860i | −0.653979 | − | 0.820064i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.5450 | − | 15.7310i | 1.11319 | − | 1.39590i | 0.204280 | − | 0.978912i | \(-0.434515\pi\) |
0.908912 | − | 0.416987i | \(-0.136914\pi\) | |||||||
\(128\) | 9.91671 | − | 5.72541i | 0.876521 | − | 0.506060i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.447809 | − | 1.14100i | −0.0392755 | − | 0.100072i | ||||
\(131\) | −14.2714 | + | 4.40215i | −1.24690 | + | 0.384617i | −0.846828 | − | 0.531867i | \(-0.821491\pi\) |
−0.400071 | + | 0.916484i | \(0.631014\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.40042 | − | 9.47356i | −0.554987 | − | 0.821461i | ||||
\(134\) | 1.73668 | − | 3.60625i | 0.150026 | − | 0.311532i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.85905 | + | 11.5271i | 0.673908 | + | 0.988442i | ||||
\(137\) | −7.23328 | + | 7.79562i | −0.617981 | + | 0.666025i | −0.962035 | − | 0.272925i | \(-0.912009\pi\) |
0.344054 | + | 0.938950i | \(0.388200\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.94388 | + | 1.58489i | −0.588972 | + | 0.134429i | −0.506613 | − | 0.862174i | \(-0.669103\pi\) |
−0.0823592 | + | 0.996603i | \(0.526245\pi\) | |||||||
\(140\) | −5.46508 | − | 3.75999i | −0.461883 | − | 0.317777i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.00414 | + | 1.85957i | −0.168184 | + | 0.156052i | ||||
\(143\) | 1.84776 | − | 0.278505i | 0.154518 | − | 0.0232898i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.7405 | + | 0.804890i | −0.891951 | + | 0.0668425i | ||||
\(146\) | −6.28315 | −0.519997 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.7469 | −1.21219 | ||||||||
\(149\) | 16.4812 | − | 1.23509i | 1.35019 | − | 0.101183i | 0.620094 | − | 0.784528i | \(-0.287095\pi\) |
0.730096 | + | 0.683345i | \(0.239476\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.8626 | − | 2.69236i | 1.45364 | − | 0.219101i | 0.625765 | − | 0.780012i | \(-0.284787\pi\) |
0.827876 | + | 0.560911i | \(0.189549\pi\) | |||||||
\(152\) | 6.95192 | − | 6.45044i | 0.563875 | − | 0.523200i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.65803 | + | 1.52542i | −0.133608 | + | 0.122922i | ||||
\(155\) | −2.69344 | + | 0.614760i | −0.216342 | + | 0.0493787i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.45839 | + | 10.1937i | −0.754862 | + | 0.813547i | −0.987267 | − | 0.159072i | \(-0.949150\pi\) |
0.232405 | + | 0.972619i | \(0.425340\pi\) | |||||||
\(158\) | −0.852086 | − | 1.24978i | −0.0677883 | − | 0.0994272i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.70080 | − | 7.68479i | 0.292574 | − | 0.607536i | ||||
\(161\) | 1.89428 | − | 6.05012i | 0.149290 | − | 0.476816i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.72659 | − | 2.07488i | 0.526867 | − | 0.162517i | −0.0198995 | − | 0.999802i | \(-0.506335\pi\) |
0.546767 | + | 0.837285i | \(0.315858\pi\) | |||||||
\(164\) | 5.06080 | + | 12.8947i | 0.395182 | + | 1.00691i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.88257 | + | 3.39630i | −0.456576 | + | 0.263604i | ||||
\(167\) | −0.809859 | + | 1.01553i | −0.0626688 | + | 0.0785842i | −0.812178 | − | 0.583410i | \(-0.801718\pi\) |
0.749509 | + | 0.661994i | \(0.230290\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.01137 | + | 8.79197i | 0.539336 | + | 0.676306i | ||||
\(170\) | 5.47580 | + | 2.14909i | 0.419974 | + | 0.164828i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.06036 | + | 14.1496i | −0.0808519 | + | 1.07889i | ||||
\(173\) | 0.761818 | − | 1.94108i | 0.0579200 | − | 0.147578i | −0.898985 | − | 0.437980i | \(-0.855694\pi\) |
0.956905 | + | 0.290403i | \(0.0937892\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.01160 | + | 0.0296629i | 0.530027 | + | 0.00224230i | ||||
\(176\) | 2.14679 | + | 1.71201i | 0.161820 | + | 0.129047i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.25152 | + | 4.18667i | 0.543525 | + | 0.313804i | ||||
\(179\) | −4.95577 | + | 1.94500i | −0.370412 | + | 0.145376i | −0.543243 | − | 0.839575i | \(-0.682804\pi\) |
0.172831 | + | 0.984951i | \(0.444709\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.34891 | − | 6.95407i | −0.248922 | − | 0.516892i | 0.738644 | − | 0.674096i | \(-0.235466\pi\) |
−0.987566 | + | 0.157203i | \(0.949752\pi\) | |||||||
\(182\) | 2.01891 | + | 0.632117i | 0.149652 | + | 0.0468556i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.19999 | + | 0.783773i | 0.383348 | + | 0.0577805i | ||||
\(185\) | −11.4195 | + | 7.78567i | −0.839577 | + | 0.572414i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.05175 | + | 7.40955i | −0.369420 | + | 0.541840i | ||||
\(188\) | 0.213621 | + | 0.935935i | 0.0155799 | + | 0.0682601i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.889779 | − | 3.89838i | 0.0645514 | − | 0.282818i | ||||
\(191\) | 8.01667 | + | 8.63992i | 0.580066 | + | 0.625163i | 0.953100 | − | 0.302655i | \(-0.0978730\pi\) |
−0.373034 | + | 0.927818i | \(0.621683\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.44997 | − | 1.06417i | −0.248334 | − | 0.0766009i | 0.168089 | − | 0.985772i | \(-0.446240\pi\) |
−0.416423 | + | 0.909171i | \(0.636717\pi\) | |||||||
\(194\) | −0.705056 | − | 9.40832i | −0.0506201 | − | 0.675478i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.9688 | − | 3.28205i | 0.783486 | − | 0.234432i | ||||
\(197\) | 3.33632i | 0.237703i | 0.992912 | + | 0.118851i | \(0.0379212\pi\) | ||||
−0.992912 | + | 0.118851i | \(0.962079\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.40174 | − | 4.54433i | 0.0993668 | − | 0.322139i | −0.892217 | − | 0.451607i | \(-0.850851\pi\) |
0.991584 | + | 0.129468i | \(0.0413270\pi\) | |||||||
\(200\) | 0.866842 | + | 5.75112i | 0.0612950 | + | 0.406665i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.02641 | + | 1.60373i | 0.494376 | + | 0.112838i | ||||
\(203\) | 10.5368 | − | 15.3150i | 0.739538 | − | 1.07490i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.7267 | + | 7.31332i | 0.749183 | + | 0.510784i | ||||
\(206\) | 3.40596 | + | 3.16027i | 0.237305 | + | 0.220187i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.384282 | − | 2.54954i | 0.0266452 | − | 0.176779i | ||||
\(209\) | 5.49226 | + | 2.64493i | 0.379908 | + | 0.182954i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.51692 | − | 2.17523i | 0.310957 | − | 0.149749i | −0.271896 | − | 0.962327i | \(-0.587651\pi\) |
0.582853 | + | 0.812578i | \(0.301936\pi\) | |||||||
\(212\) | 1.67472 | + | 5.42932i | 0.115021 | + | 0.372887i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.72929 | − | 8.19137i | 0.323288 | − | 0.559951i | ||||
\(215\) | 6.64917 | + | 11.5167i | 0.453470 | + | 0.785432i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.08705 | − | 4.28731i | 0.141678 | − | 0.291041i | ||||
\(218\) | 0.300965 | − | 0.240012i | 0.0203839 | − | 0.0162556i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.52707 | + | 0.264317i | 0.237795 | + | 0.0178203i | ||||
\(221\) | 8.39721 | + | 0.629284i | 0.564857 | + | 0.0423302i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.85899 | + | 5.46987i | −0.459312 | + | 0.366289i | −0.825641 | − | 0.564196i | \(-0.809186\pi\) |
0.366328 | + | 0.930486i | \(0.380615\pi\) | |||||||
\(224\) | 6.33125 | + | 13.2905i | 0.423024 | + | 0.888010i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.20105 | − | 5.54438i | −0.212931 | − | 0.368806i | ||||
\(227\) | −8.47617 | + | 14.6812i | −0.562583 | + | 0.974423i | 0.434687 | + | 0.900582i | \(0.356859\pi\) |
−0.997270 | + | 0.0738409i | \(0.976474\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.58436 | − | 8.37830i | −0.170780 | − | 0.553654i | 0.829206 | − | 0.558943i | \(-0.188793\pi\) |
−0.999986 | + | 0.00528863i | \(0.998317\pi\) | |||||||
\(230\) | 1.99771 | − | 0.962045i | 0.131725 | − | 0.0634354i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 13.8928 | + | 6.69042i | 0.912108 | + | 0.439248i | ||||
\(233\) | −2.06740 | + | 13.7163i | −0.135440 | + | 0.898585i | 0.813145 | + | 0.582061i | \(0.197754\pi\) |
−0.948585 | + | 0.316523i | \(0.897484\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.659548 | + | 0.611971i | 0.0430242 | + | 0.0399206i | ||||
\(236\) | −5.16958 | − | 3.52456i | −0.336511 | − | 0.229429i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.81399 | + | 5.03916i | −0.571326 | + | 0.326640i | ||||
\(239\) | 21.5670 | + | 4.92253i | 1.39505 | + | 0.318412i | 0.852991 | − | 0.521925i | \(-0.174786\pi\) |
0.542063 | + | 0.840338i | \(0.317643\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.06433 | − | 20.3305i | −0.197391 | − | 1.30960i | −0.839655 | − | 0.543120i | \(-0.817243\pi\) |
0.642264 | − | 0.766484i | \(-0.277995\pi\) | |||||||
\(242\) | −1.60312 | + | 5.19718i | −0.103052 | + | 0.334087i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 7.99800i | − | 0.512020i | ||||||
\(245\) | 6.76106 | − | 8.33249i | 0.431948 | − | 0.532343i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.427761 | − | 5.70808i | −0.0272178 | − | 0.363196i | ||||
\(248\) | 3.77953 | + | 1.16583i | 0.240000 | + | 0.0740303i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.81493 | + | 5.18926i | 0.304523 | + | 0.328197i | ||||
\(251\) | 0.638694 | − | 2.79830i | 0.0403140 | − | 0.176627i | −0.950763 | − | 0.309920i | \(-0.899698\pi\) |
0.991077 | + | 0.133293i | \(0.0425550\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.752182 | + | 3.29552i | 0.0472893 | + | 0.207188i | ||||
\(254\) | −6.84193 | + | 10.0353i | −0.429301 | + | 0.629669i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.82851 | + | 3.29202i | −0.301782 | + | 0.205751i | ||||
\(257\) | −7.97753 | − | 1.20242i | −0.497625 | − | 0.0750049i | −0.104566 | − | 0.994518i | \(-0.533345\pi\) |
−0.393059 | + | 0.919513i | \(0.628583\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.88327 | − | 23.7800i | 0.117021 | − | 1.47762i | ||||
\(260\) | −1.44101 | − | 2.99230i | −0.0893679 | − | 0.185574i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.39218 | − | 3.29369i | 0.518470 | − | 0.203485i | ||||
\(263\) | 13.1750 | + | 7.60659i | 0.812406 | + | 0.469043i | 0.847791 | − | 0.530331i | \(-0.177932\pi\) |
−0.0353848 | + | 0.999374i | \(0.511266\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.16326 | + | 3.32009i | 0.255747 | + | 0.203951i | ||||
\(266\) | 4.28013 | + | 5.41394i | 0.262431 | + | 0.331950i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.96227 | − | 10.0957i | 0.242034 | − | 0.616693i | ||||
\(269\) | 2.25171 | − | 30.0470i | 0.137289 | − | 1.83200i | −0.325513 | − | 0.945538i | \(-0.605537\pi\) |
0.462802 | − | 0.886462i | \(-0.346844\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 28.4250 | + | 11.1560i | 1.72669 | + | 0.677677i | 0.999957 | − | 0.00923880i | \(-0.00294084\pi\) |
0.726737 | + | 0.686916i | \(0.241036\pi\) | |||||||
\(272\) | 7.71493 | + | 9.67421i | 0.467786 | + | 0.586585i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.00245 | − | 5.01892i | 0.241797 | − | 0.303204i | ||||
\(275\) | −3.23767 | + | 1.86927i | −0.195239 | + | 0.112721i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.52270 | + | 3.87978i | 0.0914903 | + | 0.233113i | 0.969293 | − | 0.245909i | \(-0.0790865\pi\) |
−0.877803 | + | 0.479023i | \(0.840991\pi\) | |||||||
\(278\) | 4.10841 | − | 1.26728i | 0.246406 | − | 0.0760062i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.68938 | + | 4.48295i | 0.459529 | + | 0.267907i | ||||
\(281\) | 6.75670 | − | 14.0304i | 0.403071 | − | 0.836985i | −0.596342 | − | 0.802730i | \(-0.703380\pi\) |
0.999413 | − | 0.0342550i | \(-0.0109058\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.00755 | + | 2.94454i | 0.119337 | + | 0.175035i | 0.881259 | − | 0.472634i | \(-0.156697\pi\) |
−0.761922 | + | 0.647668i | \(0.775744\pi\) | |||||||
\(284\) | −5.03864 | + | 5.43036i | −0.298988 | + | 0.322232i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.09971 | + | 0.251001i | −0.0650271 | + | 0.0148420i | ||||
\(287\) | −21.4395 | + | 6.51402i | −1.26554 | + | 0.384510i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −17.1624 | + | 15.9244i | −1.00955 | + | 0.936727i | ||||
\(290\) | 6.42901 | − | 0.969017i | 0.377524 | − | 0.0569026i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −16.9770 | + | 1.27225i | −0.993505 | + | 0.0744529i | ||||
\(293\) | −32.3680 | −1.89096 | −0.945480 | − | 0.325681i | \(-0.894406\pi\) | ||||
−0.945480 | + | 0.325681i | \(0.894406\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.86392 | −0.341411 | ||||||||
\(296\) | 19.7317 | − | 1.47868i | 1.14688 | − | 0.0859468i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.86522 | + | 1.48694i | −0.571477 | + | 0.0861362i | ||||
\(299\) | 2.32676 | − | 2.15892i | 0.134560 | − | 0.124853i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −22.6813 | − | 3.51686i | −1.30733 | − | 0.202708i | ||||
\(302\) | −10.6311 | + | 2.42647i | −0.611749 | + | 0.139628i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.72106 | − | 6.16584i | 0.328125 | − | 0.353635i | ||||
\(305\) | −4.22255 | − | 6.19335i | −0.241783 | − | 0.354630i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.28300 | − | 4.74070i | 0.130298 | − | 0.270566i | −0.825605 | − | 0.564248i | \(-0.809166\pi\) |
0.955903 | + | 0.293682i | \(0.0948805\pi\) | |||||||
\(308\) | −4.17110 | + | 4.45741i | −0.237670 | + | 0.253984i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.59360 | − | 0.491560i | 0.0905104 | − | 0.0279187i | ||||
\(311\) | 7.91196 | + | 20.1594i | 0.448646 | + | 1.14313i | 0.959060 | + | 0.283203i | \(0.0913970\pi\) |
−0.510414 | + | 0.859929i | \(0.670508\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.20409 | − | 1.27253i | 0.124583 | − | 0.0719279i | −0.436414 | − | 0.899746i | \(-0.643752\pi\) |
0.560996 | + | 0.827818i | \(0.310418\pi\) | |||||||
\(314\) | 5.23369 | − | 6.56284i | 0.295354 | − | 0.370362i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.55539 | − | 3.20436i | −0.143752 | − | 0.180259i | ||||
\(317\) | −29.5211 | − | 11.5862i | −1.65807 | − | 0.650744i | −0.662880 | − | 0.748725i | \(-0.730666\pi\) |
−0.995188 | + | 0.0979816i | \(0.968761\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.740708 | + | 9.88406i | −0.0414717 | + | 0.553401i | ||||
\(320\) | 0.299133 | − | 0.762177i | 0.0167220 | − | 0.0426070i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.867351 | + | 3.72736i | −0.0483356 | + | 0.207717i | ||||
\(323\) | 21.4774 | + | 17.1276i | 1.19503 | + | 0.953007i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.04016 | + | 1.75524i | 0.168638 | + | 0.0973631i | ||||
\(326\) | −3.95551 | + | 1.55242i | −0.219076 | + | 0.0859808i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.06440 | − | 16.7459i | −0.445282 | − | 0.924637i | ||||
\(329\) | −1.53651 | + | 0.224948i | −0.0847107 | + | 0.0124018i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.80450 | + | 0.573436i | 0.209114 | + | 0.0315189i | 0.252764 | − | 0.967528i | \(-0.418660\pi\) |
−0.0436495 | + | 0.999047i | \(0.513898\pi\) | |||||||
\(332\) | −15.2070 | + | 10.3679i | −0.834590 | + | 0.569014i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.441689 | − | 0.647838i | 0.0241681 | − | 0.0354481i | ||||
\(335\) | −2.26181 | − | 9.90962i | −0.123576 | − | 0.541420i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.83417 | + | 16.7986i | −0.208860 | + | 0.915077i | 0.756466 | + | 0.654033i | \(0.226924\pi\) |
−0.965327 | + | 0.261044i | \(0.915933\pi\) | |||||||
\(338\) | −4.61714 | − | 4.97609i | −0.251139 | − | 0.270664i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 15.2307 | + | 4.69805i | 0.826002 | + | 0.254788i | ||||
\(341\) | 0.189994 | + | 2.53530i | 0.0102888 | + | 0.137294i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.89166 | + | 18.1068i | 0.210130 | + | 0.977673i | ||||
\(344\) | − | 19.0387i | − | 1.02650i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.371018 | + | 1.20281i | −0.0199461 | + | 0.0646635i | ||||
\(347\) | −4.06039 | − | 26.9390i | −0.217973 | − | 1.44616i | −0.783481 | − | 0.621416i | \(-0.786558\pi\) |
0.565508 | − | 0.824743i | \(-0.308680\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.4530 | − | 6.49422i | −1.52306 | − | 0.347627i | −0.622587 | − | 0.782550i | \(-0.713918\pi\) |
−0.900468 | + | 0.434923i | \(0.856776\pi\) | |||||||
\(350\) | −4.22201 | + | 0.298440i | −0.225676 | + | 0.0159523i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.48542 | − | 4.42169i | −0.345674 | − | 0.235677i | ||||
\(353\) | −22.4349 | − | 20.8166i | −1.19409 | − | 1.10796i | −0.991690 | − | 0.128653i | \(-0.958935\pi\) |
−0.202402 | − | 0.979302i | \(-0.564875\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.03476 | + | 6.86521i | −0.0549196 | + | 0.364368i | ||||
\(356\) | 20.4413 | + | 9.84401i | 1.08339 | + | 0.521732i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.89542 | − | 1.39436i | 0.153028 | − | 0.0736942i | ||||
\(359\) | −4.87661 | − | 15.8096i | −0.257378 | − | 0.834398i | −0.988377 | − | 0.152020i | \(-0.951422\pi\) |
0.731000 | − | 0.682378i | \(-0.239054\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.163310 | + | 0.282861i | −0.00859527 | + | 0.0148874i | ||||
\(362\) | 2.32959 | + | 4.03498i | 0.122441 | + | 0.212074i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.58307 | + | 1.29917i | 0.292633 | + | 0.0680952i | ||||
\(365\) | −12.4747 | + | 9.94822i | −0.652954 | + | 0.520714i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −30.6610 | − | 2.29773i | −1.60049 | − | 0.119940i | −0.755657 | − | 0.654967i | \(-0.772682\pi\) |
−0.844835 | + | 0.535027i | \(0.820301\pi\) | |||||||
\(368\) | 4.65106 | + | 0.348549i | 0.242453 | + | 0.0181694i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.52281 | − | 5.20177i | 0.339105 | − | 0.270427i | ||||
\(371\) | −8.96887 | + | 2.00720i | −0.465640 | + | 0.104209i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.568528 | − | 0.984719i | −0.0294373 | − | 0.0509868i | 0.850931 | − | 0.525277i | \(-0.176038\pi\) |
−0.880369 | + | 0.474290i | \(0.842705\pi\) | |||||||
\(374\) | 2.70668 | − | 4.68811i | 0.139959 | − | 0.242416i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.379675 | − | 1.23088i | −0.0195803 | − | 0.0634776i | ||||
\(377\) | 8.38544 | − | 4.03822i | 0.431872 | − | 0.207979i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18.4713 | − | 8.89530i | −0.948806 | − | 0.456921i | −0.105538 | − | 0.994415i | \(-0.533657\pi\) |
−0.843267 | + | 0.537494i | \(0.819371\pi\) | |||||||
\(380\) | 1.61481 | − | 10.7136i | 0.0828379 | − | 0.549594i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.21543 | − | 4.83922i | −0.266845 | − | 0.247596i | ||||
\(383\) | 14.3448 | + | 9.78011i | 0.732984 | + | 0.499740i | 0.871363 | − | 0.490639i | \(-0.163237\pi\) |
−0.138379 | + | 0.990379i | \(0.544189\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.876648 | + | 5.65378i | −0.0446781 | + | 0.288144i | ||||
\(386\) | 2.12473 | + | 0.484956i | 0.108146 | + | 0.0246836i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.81011 | − | 25.2784i | −0.193429 | − | 1.28332i | ||||
\(389\) | 5.03975 | − | 16.3385i | 0.255525 | − | 0.828393i | −0.733377 | − | 0.679823i | \(-0.762057\pi\) |
0.988902 | − | 0.148570i | \(-0.0474671\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.2328i | 0.770354i | ||||||||
\(392\) | −14.3473 | + | 5.49129i | −0.724650 | + | 0.277352i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.150502 | − | 2.00832i | −0.00758220 | − | 0.101177i | ||||
\(395\) | −3.67055 | − | 1.13221i | −0.184685 | − | 0.0569678i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.4764 | + | 17.7573i | 0.826927 | + | 0.891215i | 0.995528 | − | 0.0944691i | \(-0.0301153\pi\) |
−0.168601 | + | 0.985684i | \(0.553925\pi\) | |||||||
\(398\) | −0.638790 | + | 2.79872i | −0.0320196 | + | 0.140287i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.14786 | + | 5.02910i | 0.0573930 | + | 0.251455i | ||||
\(401\) | 5.22178 | − | 7.65894i | 0.260763 | − | 0.382469i | −0.673422 | − | 0.739258i | \(-0.735176\pi\) |
0.934185 | + | 0.356789i | \(0.116129\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.97249 | − | 1.34482i | 0.0982568 | − | 0.0669904i | ||||
\(404\) | 19.3100 | + | 2.91052i | 0.960710 | + | 0.144804i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.65182 | + | 9.69429i | −0.280495 | + | 0.481120i | ||||
\(407\) | 5.51854 | + | 11.4594i | 0.273544 | + | 0.568020i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.650608 | − | 0.255345i | 0.0321705 | − | 0.0126260i | −0.349201 | − | 0.937048i | \(-0.613547\pi\) |
0.381372 | + | 0.924422i | \(0.375452\pi\) | |||||||
\(410\) | −6.78689 | − | 3.91841i | −0.335180 | − | 0.193517i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.84280 | + | 7.84937i | 0.484920 | + | 0.386711i | ||||
\(413\) | 6.34368 | − | 7.88605i | 0.312152 | − | 0.388047i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.30193 | + | 16.0571i | −0.309350 | + | 0.788210i | ||||
\(416\) | −0.550799 | + | 7.34990i | −0.0270051 | + | 0.360358i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.42541 | − | 1.34437i | −0.167542 | − | 0.0657555i | ||||
\(419\) | −14.4946 | − | 18.1756i | −0.708106 | − | 0.887937i | 0.289494 | − | 0.957180i | \(-0.406513\pi\) |
−0.997600 | + | 0.0692431i | \(0.977942\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.04168 | + | 6.32206i | −0.245716 | + | 0.308119i | −0.889361 | − | 0.457206i | \(-0.848850\pi\) |
0.643644 | + | 0.765325i | \(0.277422\pi\) | |||||||
\(422\) | −2.62086 | + | 1.51315i | −0.127581 | + | 0.0736592i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.78521 | − | 7.09660i | −0.135262 | − | 0.344641i | ||||
\(425\) | −16.0987 | + | 4.96581i | −0.780904 | + | 0.240877i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.8971 | + | 1.02139i | 0.624134 | + | 0.0494285i | ||||
\(428\) | 11.1199 | − | 23.0906i | 0.537499 | − | 1.11613i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.52203 | − | 6.63260i | −0.218072 | − | 0.319852i | ||||
\(431\) | 11.4416 | − | 12.3311i | 0.551121 | − | 0.593967i | −0.394638 | − | 0.918837i | \(-0.629130\pi\) |
0.945759 | + | 0.324870i | \(0.105321\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.30788 | − | 1.21149i | 0.255081 | − | 0.0582205i | −0.0930683 | − | 0.995660i | \(-0.529667\pi\) |
0.348149 | + | 0.937439i | \(0.386810\pi\) | |||||||
\(434\) | −1.06291 | + | 2.67492i | −0.0510212 | + | 0.128400i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.764606 | − | 0.709451i | 0.0366180 | − | 0.0339765i | ||||
\(437\) | 10.2390 | − | 1.54327i | 0.489796 | − | 0.0738248i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.88765 | + | 0.366278i | −0.233275 | + | 0.0174815i | −0.190854 | − | 0.981618i | \(-0.561126\pi\) |
−0.0424201 | + | 0.999100i | \(0.513507\pi\) | |||||||
\(440\) | −4.74578 | −0.226246 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.08313 | −0.241780 | ||||||||
\(443\) | −31.7040 | + | 2.37588i | −1.50630 | + | 0.112882i | −0.802131 | − | 0.597149i | \(-0.796300\pi\) |
−0.704171 | + | 0.710030i | \(0.748681\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 21.0261 | − | 3.16918i | 0.996734 | − | 0.150233i | ||||
\(446\) | 3.88206 | − | 3.60203i | 0.183821 | − | 0.170561i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.701402 | + | 1.22682i | 0.0331381 | + | 0.0579618i | ||||
\(449\) | −34.0327 | + | 7.76774i | −1.60610 | + | 0.366583i | −0.929225 | − | 0.369513i | \(-0.879524\pi\) |
−0.676877 | + | 0.736096i | \(0.736667\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.12623 | − | 8.75799i | 0.382649 | − | 0.412398i | ||||
\(452\) | −9.77187 | − | 14.3327i | −0.459630 | − | 0.674153i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.44001 | − | 9.21977i | 0.208380 | − | 0.432705i | ||||
\(455\) | 5.00922 | − | 1.94156i | 0.234836 | − | 0.0910217i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −20.1938 | + | 6.22895i | −0.944624 | + | 0.291378i | −0.728545 | − | 0.684998i | \(-0.759803\pi\) |
−0.216079 | + | 0.976376i | \(0.569327\pi\) | |||||||
\(458\) | 1.93362 | + | 4.92679i | 0.0903522 | + | 0.230214i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.20299 | − | 3.00395i | 0.242591 | − | 0.140060i | ||||
\(461\) | −18.9768 | + | 23.7961i | −0.883837 | + | 1.10830i | 0.109607 | + | 0.993975i | \(0.465041\pi\) |
−0.993444 | + | 0.114321i | \(0.963531\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.88928 | + | 3.62305i | 0.134276 | + | 0.168377i | 0.844424 | − | 0.535676i | \(-0.179943\pi\) |
−0.710147 | + | 0.704053i | \(0.751372\pi\) | |||||||
\(464\) | 12.7309 | + | 4.99650i | 0.591016 | + | 0.231957i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.625736 | − | 8.34987i | 0.0289867 | − | 0.386800i | ||||
\(467\) | −2.76621 | + | 7.04819i | −0.128005 | + | 0.326151i | −0.980481 | − | 0.196616i | \(-0.937005\pi\) |
0.852476 | + | 0.522767i | \(0.175100\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 15.7737 | + | 7.67860i | 0.728363 | + | 0.354565i | ||||
\(470\) | −0.424625 | − | 0.338627i | −0.0195865 | − | 0.0156197i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.27039 | + | 4.19756i | 0.334647 | + | 0.193209i | ||||
\(473\) | 11.3920 | − | 4.47102i | 0.523803 | − | 0.205578i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.96886 | + | 10.3179i | 0.227987 | + | 0.473420i | ||||
\(476\) | −22.7950 | + | 15.4005i | −1.04481 | + | 0.705880i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.2045 | − | 1.99025i | −0.603958 | − | 0.0910320i | ||||
\(479\) | 22.4646 | − | 15.3161i | 1.02644 | − | 0.699812i | 0.0717480 | − | 0.997423i | \(-0.477142\pi\) |
0.954687 | + | 0.297611i | \(0.0961899\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.72777 | − | 9.86782i | 0.306760 | − | 0.449934i | ||||
\(482\) | 2.76171 | + | 12.0998i | 0.125792 | + | 0.551133i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.27925 | + | 14.3674i | −0.149057 | + | 0.653061i | ||||
\(485\) | −16.2962 | − | 17.5631i | −0.739972 | − | 0.797500i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.5163 | − | 9.10457i | −1.33751 | − | 0.412567i | −0.458214 | − | 0.888842i | \(-0.651511\pi\) |
−0.879297 | + | 0.476274i | \(0.841987\pi\) | |||||||
\(488\) | 0.801964 | + | 10.7015i | 0.0363032 | + | 0.484433i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.69398 | + | 5.32078i | −0.166877 | + | 0.240368i | ||||
\(491\) | − | 42.6971i | − | 1.92689i | −0.267901 | − | 0.963447i | \(-0.586330\pi\) | ||
0.267901 | − | 0.963447i | \(-0.413670\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.1656 | + | 42.6817i | −0.592947 | + | 1.92229i | ||||
\(494\) | 0.514987 | + | 3.41671i | 0.0231704 | + | 0.153725i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.42006 | + | 0.780607i | 0.153565 | + | 0.0350503i | ||||
\(497\) | −8.11321 | − | 8.81849i | −0.363927 | − | 0.395563i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.47156 | + | 1.68508i | 0.110642 | + | 0.0754346i | 0.617377 | − | 0.786667i | \(-0.288195\pi\) |
−0.506735 | + | 0.862102i | \(0.669148\pi\) | |||||||
\(500\) | 14.0606 | + | 13.0464i | 0.628811 | + | 0.583452i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.258233 | + | 1.71326i | −0.0115255 | + | 0.0764667i | ||||
\(503\) | 20.3511 | + | 9.80056i | 0.907410 | + | 0.436985i | 0.828559 | − | 0.559901i | \(-0.189161\pi\) |
0.0788501 | + | 0.996886i | \(0.474875\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.4896 | − | 7.94096i | 0.733776 | − | 0.353368i | ||||
\(506\) | −0.601442 | − | 1.94983i | −0.0267374 | − | 0.0866804i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −16.4548 | + | 28.5006i | −0.730066 | + | 1.26451i | ||||
\(509\) | −0.548485 | − | 0.950004i | −0.0243112 | − | 0.0421082i | 0.853614 | − | 0.520906i | \(-0.174406\pi\) |
−0.877925 | + | 0.478798i | \(0.841073\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.116503 | − | 27.5386i | 0.00515380 | − | 1.21824i | ||||
\(512\) | −15.1472 | + | 12.0795i | −0.669417 | + | 0.533843i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.85636 | + | 0.363934i | 0.214205 | + | 0.0160524i | ||||
\(515\) | 11.7660 | + | 0.881737i | 0.518471 | + | 0.0388540i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.647344 | − | 0.516240i | 0.0284702 | − | 0.0227042i | ||||
\(518\) | −0.0609177 | + | 14.3995i | −0.00267657 | + | 0.632677i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.22814 | + | 3.85925i | 0.0977104 | + | 0.169239i | ||||
\(521\) | 9.80296 | − | 16.9792i | 0.429475 | − | 0.743873i | −0.567351 | − | 0.823476i | \(-0.692032\pi\) |
0.996827 | + | 0.0796026i | \(0.0253651\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.71962 | − | 12.0587i | −0.162648 | − | 0.527291i | 0.837159 | − | 0.546960i | \(-0.184215\pi\) |
−0.999807 | + | 0.0196687i | \(0.993739\pi\) | |||||||
\(524\) | 22.0087 | − | 10.5988i | 0.961453 | − | 0.463011i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.27391 | − | 3.98451i | −0.360760 | − | 0.173733i | ||||
\(527\) | −1.70758 | + | 11.3291i | −0.0743834 | + | 0.493501i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.6512 | − | 11.7386i | −0.550052 | − | 0.510374i | ||||
\(530\) | −2.65587 | − | 1.81074i | −0.115364 | − | 0.0786535i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.6611 | + | 13.7617i | 0.548929 | + | 0.596647i | ||||
\(533\) | −10.9372 | − | 2.49635i | −0.473744 | − | 0.108129i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.57993 | − | 23.7513i | −0.154774 | − | 1.02686i | ||||
\(536\) | −4.28929 | + | 13.9055i | −0.185269 | + | 0.600627i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.1886i | 0.784164i | ||||||||
\(539\) | −6.65508 | − | 7.29530i | −0.286654 | − | 0.314231i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.02645 | + | 13.6971i | 0.0441307 | + | 0.588883i | 0.974809 | + | 0.223043i | \(0.0715992\pi\) |
−0.930678 | + | 0.365840i | \(0.880782\pi\) | |||||||
\(542\) | −17.6138 | − | 5.43315i | −0.756579 | − | 0.233374i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −24.0591 | − | 25.9295i | −1.03152 | − | 1.11172i | ||||
\(545\) | 0.217527 | − | 0.953046i | 0.00931781 | − | 0.0408240i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.97747 | + | 39.3329i | 0.383849 | + | 1.68175i | 0.685292 | + | 0.728268i | \(0.259675\pi\) |
−0.301443 | + | 0.953484i | \(0.597468\pi\) | |||||||
\(548\) | 9.79833 | − | 14.3715i | 0.418564 | − | 0.613921i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.86461 | − | 1.27127i | 0.0795072 | − | 0.0542071i | ||||
\(551\) | 30.0231 | + | 4.52525i | 1.27903 | + | 0.192782i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.49350 | − | 3.71146i | 0.233607 | − | 0.157827i | ||||
\(554\) | −1.09162 | − | 2.26677i | −0.0463784 | − | 0.0963057i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.8443 | − | 4.25607i | 0.459900 | − | 0.180498i | ||||
\(557\) | 21.1622 | + | 12.2180i | 0.896670 | + | 0.517693i | 0.876118 | − | 0.482096i | \(-0.160124\pi\) |
0.0205518 | + | 0.999789i | \(0.493458\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.98433 | − | 7.16476i | −0.379997 | − | 0.303037i | ||||
\(560\) | 7.09798 | + | 3.45527i | 0.299944 | + | 0.146012i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.43432 | + | 8.75050i | −0.144868 | + | 0.369117i | ||||
\(563\) | 3.13401 | − | 41.8204i | 0.132083 | − | 1.76252i | −0.400644 | − | 0.916234i | \(-0.631214\pi\) |
0.532727 | − | 0.846287i | \(-0.321167\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.1339 | − | 5.93963i | −0.636689 | − | 0.249882i | ||||
\(566\) | −1.34129 | − | 1.68192i | −0.0563786 | − | 0.0706965i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.19727 | − | 7.77114i | 0.260032 | − | 0.326070i | ||||
\(569\) | 11.1379 | − | 6.43044i | 0.466923 | − | 0.269578i | −0.248028 | − | 0.968753i | \(-0.579782\pi\) |
0.714951 | + | 0.699175i | \(0.246449\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.53989 | − | 21.7593i | −0.357383 | − | 0.910598i | −0.990621 | − | 0.136640i | \(-0.956370\pi\) |
0.633237 | − | 0.773958i | \(-0.281726\pi\) | |||||||
\(572\) | −2.92058 | + | 0.900879i | −0.122116 | + | 0.0376676i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 12.6118 | − | 4.88830i | 0.526406 | − | 0.204034i | ||||
\(575\) | −2.75529 | + | 5.72142i | −0.114904 | + | 0.238600i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.8833 | + | 24.7633i | 0.702862 | + | 1.03091i | 0.997169 | + | 0.0751986i | \(0.0239591\pi\) |
−0.294306 | + | 0.955711i | \(0.595089\pi\) | |||||||
\(578\) | 9.61264 | − | 10.3600i | 0.399833 | − | 0.430918i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 17.1749 | − | 3.92006i | 0.713149 | − | 0.162772i | ||||
\(581\) | −14.7767 | − | 25.8459i | −0.613040 | − | 1.07227i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.59224 | − | 3.33311i | 0.148775 | − | 0.138043i | ||||
\(584\) | 22.5880 | − | 3.40459i | 0.934697 | − | 0.140883i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 19.4841 | − | 1.46013i | 0.804881 | − | 0.0603175i | ||||
\(587\) | −10.1476 | −0.418837 | −0.209419 | − | 0.977826i | \(-0.567157\pi\) | ||||
−0.209419 | + | 0.977826i | \(0.567157\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.78802 | 0.320900 | ||||||||
\(590\) | 3.52982 | − | 0.264524i | 0.145320 | − | 0.0108903i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 17.3536 | − | 2.61563i | 0.713228 | − | 0.107502i | ||||
\(593\) | −12.4548 | + | 11.5563i | −0.511456 | + | 0.474562i | −0.893170 | − | 0.449718i | \(-0.851524\pi\) |
0.381714 | + | 0.924280i | \(0.375334\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.52085 | + | 23.9602i | −0.390317 | + | 0.982271i | ||||
\(596\) | −26.3546 | + | 6.01528i | −1.07953 | + | 0.246395i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.30322 | + | 1.40453i | −0.0532925 | + | 0.0574356i | ||||
\(599\) | 19.2342 | + | 28.2114i | 0.785887 | + | 1.15268i | 0.984974 | + | 0.172703i | \(0.0552501\pi\) |
−0.199087 | + | 0.979982i | \(0.563798\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.26420 | + | 10.9312i | −0.214731 | + | 0.445894i | −0.980314 | − | 0.197443i | \(-0.936736\pi\) |
0.765583 | + | 0.643337i | \(0.222450\pi\) | |||||||
\(602\) | 13.8118 | + | 1.09383i | 0.562927 | + | 0.0445812i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −28.2337 | + | 8.70895i | −1.14881 | + | 0.354362i | ||||
\(605\) | 5.04593 | + | 12.8568i | 0.205146 | + | 0.522704i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.0895 | − | 19.1042i | 1.34306 | − | 0.775416i | 0.355805 | − | 0.934560i | \(-0.384207\pi\) |
0.987255 | + | 0.159144i | \(0.0508735\pi\) | |||||||
\(608\) | −14.9915 | + | 18.7987i | −0.607984 | + | 0.762387i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.82118 | + | 3.53764i | 0.114226 | + | 0.143235i | ||||
\(611\) | −0.723732 | − | 0.284044i | −0.0292791 | − | 0.0114912i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.06834 | − | 27.6001i | 0.0835397 | − | 1.11476i | −0.785118 | − | 0.619346i | \(-0.787398\pi\) |
0.868658 | − | 0.495413i | \(-0.164983\pi\) | |||||||
\(614\) | −1.16041 | + | 2.95668i | −0.0468304 | + | 0.119322i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.13406 | − | 6.38232i | 0.206857 | − | 0.257151i | ||||
\(617\) | 25.4856 | + | 20.3241i | 1.02601 | + | 0.818218i | 0.983505 | − | 0.180878i | \(-0.0578940\pi\) |
0.0425073 | + | 0.999096i | \(0.486465\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.1707 | − | 22.0379i | −1.53421 | − | 0.885777i | −0.999161 | − | 0.0409576i | \(-0.986959\pi\) |
−0.535051 | − | 0.844820i | \(-0.679708\pi\) | |||||||
\(620\) | 4.20636 | − | 1.65087i | 0.168931 | − | 0.0663007i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.67205 | − | 11.7781i | −0.227428 | − | 0.472260i | ||||
\(623\) | −18.4843 | + | 31.7053i | −0.740559 | + | 1.27025i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.67309 | + | 0.704355i | 0.186924 | + | 0.0281742i | ||||
\(626\) | −1.26936 | + | 0.865437i | −0.0507339 | + | 0.0345898i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.8125 | − | 18.7925i | 0.511275 | − | 0.749902i | ||||
\(629\) | 12.7541 | + | 55.8792i | 0.508538 | + | 2.22805i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.23478 | − | 36.0789i | 0.327821 | − | 1.43628i | −0.495453 | − | 0.868635i | \(-0.664998\pi\) |
0.823274 | − | 0.567644i | \(-0.192145\pi\) | |||||||
\(632\) | 3.74046 | + | 4.03126i | 0.148788 | + | 0.160355i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 18.2930 | + | 5.64265i | 0.726509 | + | 0.224098i | ||||
\(635\) | 2.30493 | + | 30.7572i | 0.0914684 | + | 1.22056i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.80796 | + | 8.83702i | −0.111255 | + | 0.350135i | ||||
\(638\) | − | 5.98318i | − | 0.236876i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −5.17389 | + | 16.7734i | −0.204516 | + | 0.663025i | ||||
\(641\) | 2.67765 | + | 17.7651i | 0.105761 | + | 0.701678i | 0.977379 | + | 0.211493i | \(0.0678326\pi\) |
−0.871618 | + | 0.490185i | \(0.836929\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 35.0503 | + | 8.00000i | 1.38225 | + | 0.315489i | 0.848071 | − | 0.529883i | \(-0.177764\pi\) |
0.534177 | + | 0.845372i | \(0.320621\pi\) | |||||||
\(644\) | −1.58884 | + | 10.2469i | −0.0626089 | + | 0.403785i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.7011 | − | 9.34123i | −0.539061 | − | 0.367526i | ||||
\(647\) | −18.8212 | − | 17.4635i | −0.739937 | − | 0.686561i | 0.217222 | − | 0.976122i | \(-0.430300\pi\) |
−0.957160 | + | 0.289561i | \(0.906491\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.804281 | + | 5.33606i | −0.0315708 | + | 0.209459i | ||||
\(650\) | −1.90922 | − | 0.919433i | −0.0748859 | − | 0.0360631i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −10.3734 | + | 4.99557i | −0.406254 | + | 0.195642i | ||||
\(653\) | 2.47019 | + | 8.00815i | 0.0966658 | + | 0.313383i | 0.990971 | − | 0.134074i | \(-0.0428060\pi\) |
−0.894305 | + | 0.447457i | \(0.852330\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.4470 | − | 19.8268i | 0.447272 | − | 0.774698i | ||||
\(656\) | −8.24244 | − | 14.2763i | −0.321813 | − | 0.557397i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.914766 | − | 0.204722i | 0.0356613 | − | 0.00798088i | ||||
\(659\) | −32.2298 | + | 25.7024i | −1.25549 | + | 1.00122i | −0.256093 | + | 0.966652i | \(0.582435\pi\) |
−0.999402 | + | 0.0345714i | \(0.988993\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −44.5580 | − | 3.33916i | −1.73311 | − | 0.129878i | −0.829573 | − | 0.558398i | \(-0.811416\pi\) |
−0.903533 | + | 0.428519i | \(0.859035\pi\) | |||||||
\(662\) | −2.31601 | − | 0.173561i | −0.0900143 | − | 0.00674564i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 19.3076 | − | 15.3973i | 0.749279 | − | 0.597530i | ||||
\(665\) | 17.0698 | + | 3.97212i | 0.661939 | + | 0.154032i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.41810 | + | 14.5806i | 0.325950 | + | 0.564562i | ||||
\(668\) | 1.06226 | − | 1.83989i | 0.0411001 | − | 0.0711875i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.80853 | + | 5.86312i | 0.0698697 | + | 0.226512i | ||||
\(671\) | −6.21499 | + | 2.99298i | −0.239927 | + | 0.115543i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.8586 | − | 11.0081i | −0.881135 | − | 0.424332i | −0.0620958 | − | 0.998070i | \(-0.519778\pi\) |
−0.819039 | + | 0.573738i | \(0.805493\pi\) | |||||||
\(674\) | 1.55021 | − | 10.2850i | 0.0597118 | − | 0.396162i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.4831 | − | 12.5105i | −0.518580 | − | 0.481172i | ||||
\(677\) | 18.8263 | + | 12.8355i | 0.723552 | + | 0.493309i | 0.868225 | − | 0.496170i | \(-0.165261\pi\) |
−0.144673 | + | 0.989479i | \(0.546213\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 41.2491 | − | 2.91576i | 1.58299 | − | 0.111897i | ||||
\(680\) | −20.8500 | − | 4.75888i | −0.799562 | − | 0.182495i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.228736 | − | 1.51757i | −0.00875877 | − | 0.0581106i | ||||
\(683\) | 3.63755 | − | 11.7926i | 0.139187 | − | 0.451233i | −0.858963 | − | 0.512038i | \(-0.828891\pi\) |
0.998150 | + | 0.0608051i | \(0.0193668\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 16.3018i | − | 0.622860i | ||||||
\(686\) | −3.15941 | − | 10.7239i | −0.120627 | − | 0.409441i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.26188 | − | 16.8387i | −0.0481089 | − | 0.641969i | ||||
\(689\) | −4.39703 | − | 1.35630i | −0.167513 | − | 0.0516710i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.597222 | + | 0.643652i | 0.0227194 | + | 0.0244857i | 0.744309 | − | 0.667835i | \(-0.232779\pi\) |
−0.721590 | + | 0.692321i | \(0.756588\pi\) | |||||||
\(692\) | −0.758935 | + | 3.32511i | −0.0288504 | + | 0.126402i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.65940 | + | 16.0329i | 0.138909 | + | 0.608600i | ||||
\(695\) | 6.15041 | − | 9.02099i | 0.233298 | − | 0.342186i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 44.4838 | − | 30.3285i | 1.68494 | − | 1.14878i | ||||
\(698\) | 17.4204 | + | 2.62571i | 0.659372 | + | 0.0993844i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −11.3474 | + | 1.66128i | −0.428892 | + | 0.0627905i | ||||
\(701\) | −2.37466 | − | 4.93103i | −0.0896897 | − | 0.186242i | 0.851299 | − | 0.524681i | \(-0.175815\pi\) |
−0.940988 | + | 0.338439i | \(0.890101\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 36.2680 | − | 14.2341i | 1.36787 | − | 0.536851i | ||||
\(704\) | −0.652539 | − | 0.376743i | −0.0245935 | − | 0.0141991i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.4439 | + | 11.5186i | 0.543603 | + | 0.433509i | ||||
\(707\) | −7.15933 | + | 30.7665i | −0.269254 | + | 1.15709i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.18660 | − | 15.7632i | 0.232343 | − | 0.592000i | −0.766387 | − | 0.642379i | \(-0.777948\pi\) |
0.998730 | + | 0.0503791i | \(0.0160429\pi\) | |||||||
\(710\) | 0.313190 | − | 4.17923i | 0.0117538 | − | 0.156844i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −28.3379 | − | 11.1218i | −1.06201 | − | 0.416807i | ||||
\(713\) | 2.69257 | + | 3.37637i | 0.100837 | + | 0.126446i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.78596 | + | 2.23953i | −0.0667913 | + | 0.0837536i | ||||
\(716\) | 7.54106 | − | 4.35383i | 0.281823 | − | 0.162710i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.64868 | + | 9.29669i | 0.136168 | + | 0.346949i | ||||
\(719\) | 24.7405 | − | 7.63145i | 0.922666 | − | 0.284605i | 0.203204 | − | 0.979136i | \(-0.434865\pi\) |
0.719462 | + | 0.694532i | \(0.244388\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.9144 | + | 14.8695i | −0.518199 | + | 0.553769i | ||||
\(722\) | 0.0855455 | − | 0.177637i | 0.00318367 | − | 0.00661097i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.11157 | + | 10.4308i | 0.264299 | + | 0.387656i | ||||
\(725\) | −12.6652 | + | 13.6499i | −0.470374 | + | 0.506943i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.2231 | − | 5.30051i | 0.861295 | − | 0.196585i | 0.231013 | − | 0.972951i | \(-0.425796\pi\) |
0.630283 | + | 0.776366i | \(0.282939\pi\) | |||||||
\(728\) | −7.60052 | − | 1.17850i | −0.281694 | − | 0.0436781i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.06043 | − | 6.55112i | 0.261318 | − | 0.242468i | ||||
\(731\) | 54.5326 | − | 8.21947i | 2.01696 | − | 0.304008i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.18509 | − | 0.313629i | 0.154580 | − | 0.0115842i | 0.00278459 | − | 0.999996i | \(-0.499114\pi\) |
0.151795 | + | 0.988412i | \(0.451495\pi\) | |||||||
\(734\) | 18.5602 | 0.685071 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.3329 | −0.491458 | ||||||||
\(737\) | −9.32779 | + | 0.699021i | −0.343594 | + | 0.0257488i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −49.9115 | + | 7.52294i | −1.83602 | + | 0.276736i | −0.973400 | − | 0.229111i | \(-0.926418\pi\) |
−0.862623 | + | 0.505847i | \(0.831180\pi\) | |||||||
\(740\) | 16.5713 | − | 15.3759i | 0.609173 | − | 0.565230i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.30832 | − | 1.61284i | 0.194874 | − | 0.0592091i | ||||
\(743\) | −19.4034 | + | 4.42870i | −0.711841 | + | 0.162473i | −0.563083 | − | 0.826400i | \(-0.690385\pi\) |
−0.148758 | + | 0.988874i | \(0.547528\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −17.2323 | + | 18.5720i | −0.631341 | + | 0.680424i | ||||
\(746\) | 0.386650 | + | 0.567111i | 0.0141563 | + | 0.0207634i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6.36415 | − | 13.2153i | 0.232696 | − | 0.483199i | ||||
\(749\) | 35.8145 | + | 20.8800i | 1.30863 | + | 0.762940i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.2360 | − | 5.31660i | 0.628951 | − | 0.194006i | 0.0361392 | − | 0.999347i | \(-0.488494\pi\) |
0.592812 | + | 0.805341i | \(0.298018\pi\) | |||||||
\(752\) | −0.417385 | − | 1.06348i | −0.0152205 | − | 0.0387811i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −4.86550 | + | 2.80910i | −0.177191 | + | 0.102301i | ||||
\(755\) | −17.2652 | + | 21.6499i | −0.628346 | + | 0.787921i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.1304 | + | 15.2110i | 0.440887 | + | 0.552855i | 0.951777 | − | 0.306792i | \(-0.0992555\pi\) |
−0.510890 | + | 0.859646i | \(0.670684\pi\) | |||||||
\(758\) | 11.5202 | + | 4.52133i | 0.418431 | + | 0.164222i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.08639 | + | 14.4968i | −0.0394074 | + | 0.525856i | ||||
\(761\) | 1.81635 | − | 4.62798i | 0.0658426 | − | 0.167764i | −0.894165 | − | 0.447737i | \(-0.852230\pi\) |
0.960008 | + | 0.279973i | \(0.0903254\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.04637 | + | 1.32356i | 0.0378812 | + | 0.0479160i | ||||
\(764\) | −15.0719 | − | 12.0195i | −0.545284 | − | 0.434849i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.07611 | − | 5.24010i | −0.327933 | − | 0.189332i | ||||
\(767\) | 4.71687 | − | 1.85124i | 0.170316 | − | 0.0668442i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.5604 | + | 26.0820i | 0.452941 | + | 0.940541i | 0.994969 | + | 0.100181i | \(0.0319421\pi\) |
−0.542029 | + | 0.840360i | \(0.682344\pi\) | |||||||
\(770\) | 0.272659 | − | 3.44287i | 0.00982596 | − | 0.124073i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.83921 | + | 0.880119i | 0.210158 | + | 0.0316762i | ||||
\(773\) | −14.5501 | + | 9.92007i | −0.523330 | + | 0.356800i | −0.795990 | − | 0.605310i | \(-0.793049\pi\) |
0.272660 | + | 0.962110i | \(0.412097\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.69056 | + | 3.94632i | −0.0966477 | + | 0.141756i | ||||
\(776\) | 7.63267 | + | 33.4409i | 0.273997 | + | 1.20046i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.29667 | + | 10.0624i | −0.0823397 | + | 0.360754i | ||||
\(779\) | −24.8926 | − | 26.8279i | −0.891871 | − | 0.961208i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.10529 | + | 1.88323i | 0.218464 | + | 0.0673874i | ||||
\(782\) | −0.687155 | − | 9.16945i | −0.0245726 | − | 0.327899i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −12.3255 | + | 5.80769i | −0.440196 | + | 0.207418i | ||||
\(785\) | − | 21.3166i | − | 0.760821i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.96064 | + | 16.0820i | −0.176828 | + | 0.573262i | 0.823157 | + | 0.567813i | \(0.192210\pi\) |
−0.999985 | + | 0.00544840i | \(0.998266\pi\) | |||||||
\(788\) | −0.813313 | − | 5.39598i | −0.0289731 | − | 0.192224i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.26058 | + | 0.515963i | 0.0804279 | + | 0.0183571i | ||||
\(791\) | 24.3600 | − | 13.9272i | 0.866141 | − | 0.495193i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.35181 | + | 3.64880i | 0.190048 | + | 0.129573i | ||||
\(794\) | −10.7191 | − | 9.94588i | −0.380407 | − | 0.352966i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.15930 | + | 7.69147i | −0.0410904 | + | 0.272617i | ||||
\(797\) | 17.4494 | + | 8.40320i | 0.618090 | + | 0.297656i | 0.716605 | − | 0.697479i | \(-0.245695\pi\) |
−0.0985151 | + | 0.995136i | \(0.531409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.36170 | − | 1.61891i | 0.118928 | − | 0.0572729i | ||||
\(800\) | −4.34646 | − | 14.0909i | −0.153671 | − | 0.498188i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.79778 | + | 4.84590i | −0.0987931 | + | 0.171115i | ||||
\(803\) | 7.34170 | + | 12.7162i | 0.259083 | + | 0.448745i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.17953 | + | 8.77365i | 0.147309 | + | 0.309231i | ||||
\(806\) | −1.12669 | + | 0.898504i | −0.0396859 | + | 0.0316484i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −26.1290 | − | 1.95810i | −0.919214 | − | 0.0688856i | ||||
\(809\) | 48.7288 | + | 3.65172i | 1.71321 | + | 0.128387i | 0.894865 | − | 0.446337i | \(-0.147272\pi\) |
0.818347 | + | 0.574724i | \(0.194891\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −31.1868 | + | 24.8707i | −1.09512 | + | 0.873328i | −0.992603 | − | 0.121404i | \(-0.961260\pi\) |
−0.102515 | + | 0.994731i | \(0.532689\pi\) | |||||||
\(812\) | −13.3082 | + | 27.3383i | −0.467027 | + | 0.959387i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.83886 | − | 6.64909i | −0.134552 | − | 0.233051i | ||||
\(815\) | −5.39536 | + | 9.34504i | −0.188991 | + | 0.327342i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.0497 | − | 35.8223i | −0.386581 | − | 1.25326i | ||||
\(818\) | −0.380119 | + | 0.183055i | −0.0132905 | + | 0.00640038i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.1315 | − | 9.21326i | −0.668102 | − | 0.321741i | ||||
\(821\) | 4.10640 | − | 27.2442i | 0.143314 | − | 0.950829i | −0.795388 | − | 0.606100i | \(-0.792733\pi\) |
0.938703 | − | 0.344728i | \(-0.112029\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −12.2220 | − | 11.3404i | −0.426033 | − | 0.395301i | 0.437806 | − | 0.899070i | \(-0.355756\pi\) |
−0.863838 | + | 0.503769i | \(0.831946\pi\) | |||||||
\(824\) | −13.9569 | − | 9.51564i | −0.486211 | − | 0.331493i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.46287 | + | 5.03322i | −0.120489 | + | 0.175128i | ||||
\(827\) | −23.6729 | − | 5.40319i | −0.823188 | − | 0.187887i | −0.209876 | − | 0.977728i | \(-0.567306\pi\) |
−0.613312 | + | 0.789841i | \(0.710163\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.47431 | − | 29.6851i | −0.155399 | − | 1.03101i | −0.921526 | − | 0.388317i | \(-0.873057\pi\) |
0.766127 | − | 0.642690i | \(-0.222181\pi\) | |||||||
\(830\) | 3.06914 | − | 9.94992i | 0.106532 | − | 0.345367i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.707523i | 0.0245289i | ||||||||
\(833\) | −21.9229 | − | 38.7245i | −0.759582 | − | 1.34172i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.148797 | − | 1.98556i | −0.00514934 | − | 0.0687132i | ||||
\(836\) | −9.52765 | − | 2.93889i | −0.329521 | − | 0.101644i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.54500 | + | 10.2871i | 0.329726 | + | 0.355361i | ||||
\(839\) | 8.85827 | − | 38.8106i | 0.305822 | − | 1.33989i | −0.555367 | − | 0.831606i | \(-0.687422\pi\) |
0.861188 | − | 0.508286i | \(-0.169721\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.53226 | + | 19.8571i | 0.156285 | + | 0.684728i | ||||
\(842\) | 2.74968 | − | 4.03304i | 0.0947601 | − | 0.138988i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.77515 | + | 4.61922i | −0.233210 | + | 0.159000i | ||||
\(845\) | −17.0457 | − | 2.56922i | −0.586390 | − | 0.0883840i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −22.7492 | − | 7.12272i | −0.781670 | − | 0.244740i | ||||
\(848\) | −2.93373 | − | 6.09195i | −0.100745 | − | 0.209199i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.46672 | − | 3.71542i | 0.324706 | − | 0.127438i | ||||
\(851\) | 18.7100 | + | 10.8022i | 0.641371 | + | 0.370296i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 38.6246 | + | 30.8021i | 1.32248 | + | 1.05464i | 0.993914 | + | 0.110161i | \(0.0351368\pi\) |
0.328566 | + | 0.944481i | \(0.393435\pi\) | |||||||
\(854\) | −7.80956 | − | 0.0330387i | −0.267238 | − | 0.00113056i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.5633 | + | 32.0107i | −0.429403 | + | 1.09410i | ||||
\(857\) | 4.31439 | − | 57.5716i | 0.147377 | − | 1.96661i | −0.0922283 | − | 0.995738i | \(-0.529399\pi\) |
0.239605 | − | 0.970870i | \(-0.422982\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 50.0498 | + | 19.6431i | 1.70768 | + | 0.670214i | 0.999363 | − | 0.0356833i | \(-0.0113608\pi\) |
0.708314 | + | 0.705897i | \(0.249456\pi\) | |||||||
\(860\) | −13.5615 | − | 17.0056i | −0.462443 | − | 0.579886i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.33106 | + | 7.93889i | −0.215637 | + | 0.270400i | ||||
\(863\) | −33.0032 | + | 19.0544i | −1.12344 | + | 0.648620i | −0.942277 | − | 0.334833i | \(-0.891320\pi\) |
−0.181165 | + | 0.983453i | \(0.557987\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.16781 | + | 2.97552i | 0.0397066 | + | 0.101171i | ||||
\(866\) | −3.14046 | + | 0.968704i | −0.106717 | + | 0.0329179i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.33034 | + | 7.44283i | −0.0790968 | + | 0.252626i | ||||
\(869\) | −1.53374 | + | 3.18484i | −0.0520284 | + | 0.108038i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.94783 | + | 7.25713i | 0.167651 | + | 0.245899i | ||||
\(872\) | −0.951918 | + | 1.02592i | −0.0322360 | + | 0.0347422i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.09378 | + | 1.39087i | −0.206125 | + | 0.0470467i | ||||
\(875\) | −22.8334 | + | 21.0073i | −0.771911 | + | 0.710175i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.4471 | − | 18.0443i | 0.656682 | − | 0.609311i | −0.279787 | − | 0.960062i | \(-0.590264\pi\) |
0.936469 | + | 0.350751i | \(0.114073\pi\) | |||||||
\(878\) | 2.92562 | − | 0.440967i | 0.0987350 | − | 0.0148819i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.19739 | + | 0.314551i | −0.141494 | + | 0.0106035i | ||||
\(881\) | −24.5263 | −0.826314 | −0.413157 | − | 0.910660i | \(-0.635574\pi\) | ||||
−0.413157 | + | 0.910660i | \(0.635574\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −25.1652 | −0.846876 | −0.423438 | − | 0.905925i | \(-0.639177\pi\) | ||||
−0.423438 | + | 0.905925i | \(0.639177\pi\) | |||||||
\(884\) | −13.7346 | + | 1.02927i | −0.461944 | + | 0.0346179i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.9772 | − | 2.86036i | 0.637552 | − | 0.0960955i | ||||
\(887\) | −22.1988 | + | 20.5975i | −0.745364 | + | 0.691597i | −0.958394 | − | 0.285449i | \(-0.907857\pi\) |
0.213030 | + | 0.977046i | \(0.431667\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −43.8570 | − | 30.1738i | −1.47092 | − | 1.01200i | ||||
\(890\) | −12.5138 | + | 2.85620i | −0.419465 | + | 0.0957401i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9.75995 | − | 10.5187i | 0.326787 | − | 0.352193i | ||||
\(893\) | −1.42876 | − | 2.09561i | −0.0478116 | − | 0.0701267i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.54090 | − | 7.35275i | 0.118359 | − | 0.245775i | ||||
\(896\) | −16.9603 | − | 25.1037i | −0.566604 | − | 0.838657i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 20.1358 | − | 6.21107i | 0.671940 | − | 0.207266i | ||||
\(899\) | 4.62632 | + | 11.7877i | 0.154296 | + | 0.393141i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.1244 | − | 11.0415i | 0.637126 | − | 0.367845i | ||||
\(902\) | −4.49655 | + | 5.63850i | −0.149719 | + | 0.187742i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 14.5121 | + | 18.1976i | 0.482664 | + | 0.605242i | ||||
\(905\) | 11.0139 | + | 4.32262i | 0.366113 | + | 0.143689i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.01935 | + | 13.6023i | −0.0338471 | + | 0.451659i | 0.954373 | + | 0.298618i | \(0.0965256\pi\) |
−0.988220 | + | 0.153041i | \(0.951093\pi\) | |||||||
\(908\) | 10.1300 | − | 25.8108i | 0.336175 | − | 0.856561i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.92775 | + | 1.39470i | −0.0970538 | + | 0.0462339i | ||||
\(911\) | 42.2045 | + | 33.6570i | 1.39830 | + | 1.11510i | 0.978209 | + | 0.207621i | \(0.0665721\pi\) |
0.420088 | + | 0.907484i | \(0.361999\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.7473 | + | 7.93699i | 0.454968 | + | 0.262676i | ||||
\(914\) | 11.8748 | − | 4.66050i | 0.392782 | − | 0.154156i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.22224 | + | 12.9206i | 0.205588 | + | 0.426909i | ||||
\(917\) | 14.2804 | + | 36.8434i | 0.471580 | + | 1.21668i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −53.6090 | − | 8.08026i | −1.76840 | − | 0.266543i | −0.817474 | − | 0.575966i | \(-0.804626\pi\) |
−0.950925 | + | 0.309423i | \(0.899864\pi\) | |||||||
\(920\) | −6.66048 | + | 4.54104i | −0.219590 | + | 0.149714i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.3497 | − | 15.1803i | 0.340850 | − | 0.499936i | ||||
\(923\) | −1.33499 | − | 5.84897i | −0.0439417 | − | 0.192521i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.31697 | + | 23.2952i | −0.174821 | + | 0.765940i | ||||
\(926\) | −1.90266 | − | 2.05058i | −0.0625252 | − | 0.0673862i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −37.3584 | − | 11.5235i | −1.22635 | − | 0.378279i | ||||
\(929\) | −1.96806 | − | 26.2619i | −0.0645699 | − | 0.861625i | −0.931627 | − | 0.363416i | \(-0.881610\pi\) |
0.867057 | − | 0.498209i | \(-0.166009\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −23.8083 | + | 18.6591i | −0.780284 | + | 0.611527i | ||||
\(932\) | − | 22.6880i | − | 0.743170i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.34719 | − | 4.36748i | 0.0440814 | − | 0.142908i | ||||
\(935\) | −2.04887 | − | 13.5934i | −0.0670053 | − | 0.444551i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −23.7453 | − | 5.41971i | −0.775724 | − | 0.177054i | −0.183709 | − | 0.982981i | \(-0.558810\pi\) |
−0.592015 | + | 0.805927i | \(0.701668\pi\) | |||||||
\(938\) | −9.84147 | − | 3.91062i | −0.321335 | − | 0.127686i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.21590 | − | 0.828987i | −0.0396583 | − | 0.0270386i | ||||
\(941\) | −13.8256 | − | 12.8283i | −0.450703 | − | 0.418191i | 0.421884 | − | 0.906650i | \(-0.361369\pi\) |
−0.872587 | + | 0.488458i | \(0.837559\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.02462 | − | 20.0671i | 0.0984953 | − | 0.653474i | ||||
\(944\) | 6.70849 | + | 3.23064i | 0.218343 | + | 0.105148i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.65577 | + | 3.20525i | −0.216398 | + | 0.104212i | ||||
\(947\) | −4.05076 | − | 13.1323i | −0.131632 | − | 0.426741i | 0.865630 | − | 0.500684i | \(-0.166918\pi\) |
−0.997262 | + | 0.0739427i | \(0.976442\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.89384 | − | 11.9405i | 0.223783 | − | 0.387604i | ||||
\(950\) | −3.45648 | − | 5.98680i | −0.112143 | − | 0.194237i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 28.9558 | − | 22.8918i | 0.938464 | − | 0.741927i | ||||
\(953\) | −20.7009 | + | 16.5084i | −0.670567 | + | 0.534759i | −0.898531 | − | 0.438910i | \(-0.855365\pi\) |
0.227964 | + | 0.973670i | \(0.426793\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.0168 | − | 1.35017i | −0.583011 | − | 0.0436906i | ||||
\(956\) | −36.0813 | − | 2.70392i | −1.16695 | − | 0.0874511i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −12.8318 | + | 10.2330i | −0.414577 | + | 0.330614i | ||||
\(959\) | 21.9233 | + | 17.6355i | 0.707942 | + | 0.569481i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.8759 | − | 24.0338i | −0.447611 | − | 0.775285i | ||||
\(962\) | −3.60468 | + | 6.24349i | −0.116219 | + | 0.201298i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 9.91217 | + | 32.1345i | 0.319250 | + | 1.03498i | ||||
\(965\) | 4.98632 | − | 2.40128i | 0.160515 | − | 0.0773001i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.0224 | + | 5.78967i | 0.386613 | + | 0.186183i | 0.617086 | − | 0.786896i | \(-0.288313\pi\) |
−0.230473 | + | 0.973079i | \(0.574027\pi\) | |||||||
\(968\) | 2.94708 | − | 19.5526i | 0.0947226 | − | 0.628443i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.6019 | + | 9.83709i | 0.340405 | + | 0.315850i | ||||
\(971\) | 12.1606 | + | 8.29099i | 0.390254 | + | 0.266070i | 0.742513 | − | 0.669832i | \(-0.233634\pi\) |
−0.352259 | + | 0.935903i | \(0.614586\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.47821 | + | 18.0304i | 0.175623 | + | 0.578027i | ||||
\(974\) | 18.1782 | + | 4.14906i | 0.582468 | + | 0.132944i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.41859 | + | 9.41171i | 0.0454079 | + | 0.301262i | ||||
\(977\) | 4.97249 | − | 16.1204i | 0.159084 | − | 0.515738i | −0.840579 | − | 0.541689i | \(-0.817785\pi\) |
0.999663 | + | 0.0259511i | \(0.00826140\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 19.5681i | − | 0.625398i | ||||||
\(980\) | −8.90371 | + | 15.1247i | −0.284419 | + | 0.483141i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.92608 | + | 25.7018i | 0.0614637 | + | 0.820176i | ||||
\(983\) | 2.19330 | + | 0.676542i | 0.0699553 | + | 0.0215783i | 0.329535 | − | 0.944143i | \(-0.393108\pi\) |
−0.259580 | + | 0.965722i | \(0.583584\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.47861 | − | 3.74905i | −0.110838 | − | 0.119455i | ||||
\(986\) | 5.99970 | − | 26.2864i | 0.191069 | − | 0.837130i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.08333 | + | 9.12766i | 0.0662795 | + | 0.290389i | ||||
\(989\) | 11.7100 | − | 17.1754i | 0.372355 | − | 0.546145i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.0212 | + | 15.6956i | −0.731293 | + | 0.498587i | −0.870802 | − | 0.491633i | \(-0.836400\pi\) |
0.139509 | + | 0.990221i | \(0.455448\pi\) | |||||||
\(992\) | −9.91608 | − | 1.49461i | −0.314836 | − | 0.0474539i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.28160 | + | 4.94235i | 0.167522 | + | 0.156762i | ||||
\(995\) | 3.16300 | + | 6.56804i | 0.100274 | + | 0.208221i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.4555 | + | 4.10348i | −0.331129 | + | 0.129958i | −0.525080 | − | 0.851053i | \(-0.675965\pi\) |
0.193952 | + | 0.981011i | \(0.437869\pi\) | |||||||
\(998\) | −1.56378 | − | 0.902851i | −0.0495007 | − | 0.0285793i | ||||
\(999\) | 0 | 0 |
(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 | 441.2.bg.a.17.8 | ✓ | 216 | |
3.2 | odd | 2 | inner | 441.2.bg.a.17.11 | yes | 216 | |
49.26 | odd | 42 | inner | 441.2.bg.a.26.11 | yes | 216 | |
147.26 | even | 42 | inner | 441.2.bg.a.26.8 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bg.a.17.8 | ✓ | 216 | 1.1 | even | 1 | trivial | |
441.2.bg.a.17.11 | yes | 216 | 3.2 | odd | 2 | inner | |
441.2.bg.a.26.8 | yes | 216 | 147.26 | even | 42 | inner | |
441.2.bg.a.26.11 | yes | 216 | 49.26 | odd | 42 | inner |