Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
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([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.47 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.47 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.796483 | − | 2.02941i | 0.563199 | − | 1.43501i | −0.311456 | − | 0.950260i | \(-0.600817\pi\) |
0.874655 | − | 0.484746i | \(-0.161088\pi\) | |||||||
\(3\) | 1.67833 | + | 0.428020i | 0.968985 | + | 0.247118i | ||||
\(4\) | −2.01800 | − | 1.87243i | −1.00900 | − | 0.936214i | ||||
\(5\) | 0.0340513 | − | 0.0163983i | 0.0152282 | − | 0.00733352i | −0.426254 | − | 0.904603i | \(-0.640167\pi\) |
0.441482 | + | 0.897270i | \(0.354453\pi\) | |||||||
\(6\) | 2.20539 | − | 3.06511i | 0.900347 | − | 1.25132i | ||||
\(7\) | 1.56656 | + | 2.13211i | 0.592103 | + | 0.805862i | ||||
\(8\) | −1.47880 | + | 0.712152i | −0.522834 | + | 0.251784i | ||||
\(9\) | 2.63360 | + | 1.43672i | 0.877866 | + | 0.478907i | ||||
\(10\) | −0.00615741 | − | 0.0821649i | −0.00194714 | − | 0.0259828i | ||||
\(11\) | −1.93823 | − | 2.43047i | −0.584400 | − | 0.732814i | 0.398457 | − | 0.917187i | \(-0.369546\pi\) |
−0.982856 | + | 0.184373i | \(0.940975\pi\) | |||||||
\(12\) | −2.58543 | − | 4.00630i | −0.746350 | − | 1.15652i | ||||
\(13\) | 0.517776 | − | 1.31927i | 0.143605 | − | 0.365900i | −0.840916 | − | 0.541166i | \(-0.817983\pi\) |
0.984521 | + | 0.175265i | \(0.0560783\pi\) | |||||||
\(14\) | 5.57465 | − | 1.48099i | 1.48989 | − | 0.395811i | ||||
\(15\) | 0.0641682 | − | 0.0129471i | 0.0165682 | − | 0.00334292i | ||||
\(16\) | −0.144038 | − | 1.92205i | −0.0360094 | − | 0.480513i | ||||
\(17\) | −0.288207 | + | 0.267417i | −0.0699004 | + | 0.0648581i | −0.714349 | − | 0.699789i | \(-0.753277\pi\) |
0.644449 | + | 0.764647i | \(0.277087\pi\) | |||||||
\(18\) | 5.01330 | − | 4.20031i | 1.18165 | − | 0.990023i | ||||
\(19\) | 0.0784099 | − | 0.135810i | 0.0179885 | − | 0.0311569i | −0.856891 | − | 0.515498i | \(-0.827607\pi\) |
0.874880 | + | 0.484341i | \(0.160940\pi\) | |||||||
\(20\) | −0.0994200 | − | 0.0306670i | −0.0222310 | − | 0.00685735i | ||||
\(21\) | 1.71662 | + | 4.24891i | 0.374596 | + | 0.927188i | ||||
\(22\) | −6.47618 | + | 1.99764i | −1.38073 | + | 0.425898i | ||||
\(23\) | 0.328297 | − | 1.43836i | 0.0684546 | − | 0.299919i | −0.929099 | − | 0.369832i | \(-0.879415\pi\) |
0.997553 | + | 0.0699133i | \(0.0222723\pi\) | |||||||
\(24\) | −2.78673 | + | 0.562272i | −0.568839 | + | 0.114773i | ||||
\(25\) | −3.11656 | + | 3.90804i | −0.623312 | + | 0.781608i | ||||
\(26\) | −2.26494 | − | 2.10156i | −0.444191 | − | 0.412149i | ||||
\(27\) | 3.80511 | + | 3.53853i | 0.732293 | + | 0.680990i | ||||
\(28\) | 0.830916 | − | 7.23586i | 0.157028 | − | 1.36745i | ||||
\(29\) | −7.05116 | − | 2.17500i | −1.30937 | − | 0.403887i | −0.439976 | − | 0.898010i | \(-0.645013\pi\) |
−0.869392 | + | 0.494123i | \(0.835489\pi\) | |||||||
\(30\) | 0.0248341 | − | 0.140535i | 0.00453406 | − | 0.0256581i | ||||
\(31\) | −3.54110 | + | 6.13337i | −0.636001 | + | 1.10159i | 0.350301 | + | 0.936637i | \(0.386079\pi\) |
−0.986302 | + | 0.164949i | \(0.947254\pi\) | |||||||
\(32\) | −7.15219 | − | 2.20616i | −1.26434 | − | 0.389997i | ||||
\(33\) | −2.21271 | − | 4.90874i | −0.385184 | − | 0.854502i | ||||
\(34\) | 0.313145 | + | 0.797881i | 0.0537040 | + | 0.136835i | ||||
\(35\) | 0.0883062 | + | 0.0469124i | 0.0149265 | + | 0.00792964i | ||||
\(36\) | −2.62444 | − | 7.83052i | −0.437406 | − | 1.30509i | ||||
\(37\) | 6.77609 | + | 2.09015i | 1.11398 | + | 0.343618i | 0.796495 | − | 0.604645i | \(-0.206685\pi\) |
0.317487 | + | 0.948263i | \(0.397161\pi\) | |||||||
\(38\) | −0.213161 | − | 0.267296i | −0.0345793 | − | 0.0433611i | ||||
\(39\) | 1.43368 | − | 1.99256i | 0.229572 | − | 0.319065i | ||||
\(40\) | −0.0386770 | + | 0.0484994i | −0.00611537 | + | 0.00766843i | ||||
\(41\) | 2.56883 | + | 1.75140i | 0.401184 | + | 0.273523i | 0.747059 | − | 0.664758i | \(-0.231465\pi\) |
−0.345874 | + | 0.938281i | \(0.612418\pi\) | |||||||
\(42\) | 9.99002 | − | 0.0995277i | 1.54149 | − | 0.0153575i | ||||
\(43\) | −4.11885 | + | 2.80818i | −0.628119 | + | 0.428244i | −0.835098 | − | 0.550101i | \(-0.814589\pi\) |
0.206979 | + | 0.978345i | \(0.433637\pi\) | |||||||
\(44\) | −0.639526 | + | 8.53389i | −0.0964122 | + | 1.28653i | ||||
\(45\) | 0.113237 | + | 0.00573583i | 0.0168804 | + | 0.000855047i | ||||
\(46\) | −2.65754 | − | 1.81188i | −0.391832 | − | 0.267147i | ||||
\(47\) | 0.487063 | − | 1.24102i | 0.0710454 | − | 0.181021i | −0.890940 | − | 0.454120i | \(-0.849954\pi\) |
0.961986 | + | 0.273100i | \(0.0880489\pi\) | |||||||
\(48\) | 0.580933 | − | 3.28749i | 0.0838505 | − | 0.474508i | ||||
\(49\) | −2.09180 | + | 6.68015i | −0.298828 | + | 0.954307i | ||||
\(50\) | 5.44871 | + | 9.43745i | 0.770564 | + | 1.33466i | ||||
\(51\) | −0.598166 | + | 0.325456i | −0.0837600 | + | 0.0455729i | ||||
\(52\) | −3.51512 | + | 1.69279i | −0.487459 | + | 0.234748i | ||||
\(53\) | −7.14239 | + | 2.20314i | −0.981083 | + | 0.302624i | −0.743495 | − | 0.668742i | \(-0.766833\pi\) |
−0.237589 | + | 0.971366i | \(0.576357\pi\) | |||||||
\(54\) | 10.2118 | − | 4.90373i | 1.38965 | − | 0.667313i | ||||
\(55\) | −0.105855 | − | 0.0509770i | −0.0142735 | − | 0.00687374i | ||||
\(56\) | −3.83501 | − | 2.03734i | −0.512475 | − | 0.272250i | ||||
\(57\) | 0.189727 | − | 0.194373i | 0.0251300 | − | 0.0257454i | ||||
\(58\) | −10.0301 | + | 12.5773i | −1.31701 | + | 1.65148i | ||||
\(59\) | 11.0167 | − | 7.51104i | 1.43425 | − | 0.977854i | 0.437338 | − | 0.899297i | \(-0.355921\pi\) |
0.996910 | − | 0.0785566i | \(-0.0250311\pi\) | |||||||
\(60\) | −0.153734 | − | 0.0940232i | −0.0198469 | − | 0.0121383i | ||||
\(61\) | 3.79195 | − | 3.51841i | 0.485509 | − | 0.450487i | −0.399040 | − | 0.916934i | \(-0.630657\pi\) |
0.884549 | + | 0.466447i | \(0.154466\pi\) | |||||||
\(62\) | 9.62667 | + | 12.0715i | 1.22259 | + | 1.53308i | ||||
\(63\) | 1.06243 | + | 7.86583i | 0.133854 | + | 0.991001i | ||||
\(64\) | −7.77031 | + | 9.74366i | −0.971288 | + | 1.21796i | ||||
\(65\) | −0.00400280 | − | 0.0534136i | −0.000496486 | − | 0.00662514i | ||||
\(66\) | −11.7242 | + | 0.580762i | −1.44315 | + | 0.0714869i | ||||
\(67\) | −2.95590 | + | 5.11977i | −0.361121 | + | 0.625479i | −0.988146 | − | 0.153520i | \(-0.950939\pi\) |
0.627025 | + | 0.778999i | \(0.284272\pi\) | |||||||
\(68\) | 1.08232 | 0.131250 | ||||||||
\(69\) | 1.16664 | − | 2.27353i | 0.140447 | − | 0.273701i | ||||
\(70\) | 0.165539 | − | 0.141844i | 0.0197857 | − | 0.0169536i | ||||
\(71\) | −1.31625 | + | 5.76686i | −0.156210 | + | 0.684400i | 0.834793 | + | 0.550563i | \(0.185587\pi\) |
−0.991003 | + | 0.133837i | \(0.957270\pi\) | |||||||
\(72\) | −4.91772 | − | 0.249098i | −0.579559 | − | 0.0293565i | ||||
\(73\) | −10.1909 | − | 1.53603i | −1.19276 | − | 0.179779i | −0.477494 | − | 0.878635i | \(-0.658455\pi\) |
−0.715262 | + | 0.698856i | \(0.753693\pi\) | |||||||
\(74\) | 9.63880 | − | 12.0867i | 1.12049 | − | 1.40505i | ||||
\(75\) | −6.90334 | + | 5.22504i | −0.797129 | + | 0.603336i | ||||
\(76\) | −0.412525 | + | 0.127247i | −0.0473199 | + | 0.0145963i | ||||
\(77\) | 2.14568 | − | 7.94000i | 0.244522 | − | 0.904847i | ||||
\(78\) | −2.90181 | − | 4.49655i | −0.328566 | − | 0.509134i | ||||
\(79\) | −7.38578 | − | 12.7925i | −0.830965 | − | 1.43927i | −0.897274 | − | 0.441475i | \(-0.854455\pi\) |
0.0663081 | − | 0.997799i | \(-0.478878\pi\) | |||||||
\(80\) | −0.0364229 | − | 0.0630864i | −0.00407221 | − | 0.00705327i | ||||
\(81\) | 4.87167 | + | 7.56748i | 0.541297 | + | 0.840832i | ||||
\(82\) | 5.60034 | − | 3.81824i | 0.618454 | − | 0.421655i | ||||
\(83\) | 4.37733 | + | 11.1533i | 0.480475 | + | 1.22423i | 0.941551 | + | 0.336869i | \(0.109368\pi\) |
−0.461077 | + | 0.887360i | \(0.652537\pi\) | |||||||
\(84\) | 4.49165 | − | 11.7885i | 0.490079 | − | 1.28623i | ||||
\(85\) | −0.00542865 | + | 0.0138320i | −0.000588820 | + | 0.00150029i | ||||
\(86\) | 2.41835 | + | 10.5955i | 0.260777 | + | 1.14254i | ||||
\(87\) | −10.9033 | − | 6.66841i | −1.16895 | − | 0.714928i | ||||
\(88\) | 4.59712 | + | 2.21386i | 0.490055 | + | 0.235998i | ||||
\(89\) | −5.30744 | − | 13.5231i | −0.562588 | − | 1.43345i | −0.875290 | − | 0.483599i | \(-0.839329\pi\) |
0.312702 | − | 0.949851i | \(-0.398766\pi\) | |||||||
\(90\) | 0.101832 | − | 0.225236i | 0.0107340 | − | 0.0237419i | ||||
\(91\) | 3.62396 | − | 0.962760i | 0.379895 | − | 0.100925i | ||||
\(92\) | −3.35573 | + | 2.28790i | −0.349859 | + | 0.238530i | ||||
\(93\) | −8.56836 | + | 8.77817i | −0.888497 | + | 0.910254i | ||||
\(94\) | −2.13059 | − | 1.97690i | −0.219753 | − | 0.203901i | ||||
\(95\) | 0.000442915 | − | 0.00591029i | 4.54421e−5 | − | 0.000606383i | ||||
\(96\) | −11.0595 | − | 6.76395i | −1.12875 | − | 0.690342i | ||||
\(97\) | −3.43310 | + | 5.94631i | −0.348579 | + | 0.603756i | −0.985997 | − | 0.166762i | \(-0.946669\pi\) |
0.637418 | + | 0.770518i | \(0.280002\pi\) | |||||||
\(98\) | 11.8907 | + | 9.56573i | 1.20114 | + | 0.966284i | ||||
\(99\) | −1.61263 | − | 9.18558i | −0.162075 | − | 0.923185i | ||||
\(100\) | 13.6067 | − | 2.05089i | 1.36067 | − | 0.205089i | ||||
\(101\) | 13.7425 | − | 6.61806i | 1.36743 | − | 0.658521i | 0.401152 | − | 0.916011i | \(-0.368610\pi\) |
0.966281 | + | 0.257490i | \(0.0828955\pi\) | |||||||
\(102\) | 0.184052 | + | 1.47314i | 0.0182239 | + | 0.145863i | ||||
\(103\) | 1.17454 | − | 0.565629i | 0.115731 | − | 0.0557331i | −0.375122 | − | 0.926975i | \(-0.622399\pi\) |
0.490853 | + | 0.871242i | \(0.336685\pi\) | |||||||
\(104\) | 0.173836 | + | 2.31967i | 0.0170460 | + | 0.227463i | ||||
\(105\) | 0.128128 | + | 0.116531i | 0.0125040 | + | 0.0113723i | ||||
\(106\) | −1.21774 | + | 16.2496i | −0.118277 | + | 1.57830i | ||||
\(107\) | 2.81097 | + | 7.16223i | 0.271746 | + | 0.692398i | 0.999975 | + | 0.00706424i | \(0.00224864\pi\) |
−0.728229 | + | 0.685334i | \(0.759656\pi\) | |||||||
\(108\) | −1.05306 | − | 14.2655i | −0.101331 | − | 1.37270i | ||||
\(109\) | 0.453150 | − | 1.15461i | 0.0434039 | − | 0.110591i | −0.907528 | − | 0.419991i | \(-0.862033\pi\) |
0.950932 | + | 0.309400i | \(0.100128\pi\) | |||||||
\(110\) | −0.187765 | + | 0.174220i | −0.0179027 | + | 0.0166112i | ||||
\(111\) | 10.4779 | + | 6.40826i | 0.994519 | + | 0.608246i | ||||
\(112\) | 3.87238 | − | 3.31811i | 0.365906 | − | 0.313532i | ||||
\(113\) | 11.8573 | + | 1.78719i | 1.11544 | + | 0.168125i | 0.680792 | − | 0.732477i | \(-0.261636\pi\) |
0.434645 | + | 0.900602i | \(0.356874\pi\) | |||||||
\(114\) | −0.243347 | − | 0.539848i | −0.0227916 | − | 0.0505614i | ||||
\(115\) | −0.0124077 | − | 0.0543616i | −0.00115702 | − | 0.00506924i | ||||
\(116\) | 10.1567 | + | 17.5919i | 0.943027 | + | 1.63337i | ||||
\(117\) | 3.25904 | − | 2.73053i | 0.301298 | − | 0.252438i | ||||
\(118\) | −6.46835 | − | 28.3397i | −0.595460 | − | 2.60888i | ||||
\(119\) | −1.02165 | − | 0.195565i | −0.0936549 | − | 0.0179274i | ||||
\(120\) | −0.0856716 | + | 0.0648436i | −0.00782071 | + | 0.00591938i | ||||
\(121\) | 0.297303 | − | 1.30257i | 0.0270275 | − | 0.118415i | ||||
\(122\) | −4.12007 | − | 10.4978i | −0.373013 | − | 0.950422i | ||||
\(123\) | 3.56172 | + | 4.03895i | 0.321150 | + | 0.364180i | ||||
\(124\) | 18.6302 | − | 5.74667i | 1.67304 | − | 0.516066i | ||||
\(125\) | −0.0840878 | + | 0.368413i | −0.00752104 | + | 0.0329518i | ||||
\(126\) | 16.8092 | + | 4.10889i | 1.49748 | + | 0.366049i | ||||
\(127\) | 1.97199 | + | 8.63984i | 0.174986 | + | 0.766662i | 0.983898 | + | 0.178732i | \(0.0571996\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(128\) | 6.10020 | + | 10.5659i | 0.539187 | + | 0.933898i | ||||
\(129\) | −8.11476 | + | 2.95011i | −0.714464 | + | 0.259743i | ||||
\(130\) | −0.111586 | − | 0.0344197i | −0.00978674 | − | 0.00301881i | ||||
\(131\) | −7.71199 | − | 3.71390i | −0.673800 | − | 0.324485i | 0.0655084 | − | 0.997852i | \(-0.479133\pi\) |
−0.739308 | + | 0.673367i | \(0.764847\pi\) | |||||||
\(132\) | −4.72601 | + | 14.0490i | −0.411347 | + | 1.22281i | ||||
\(133\) | 0.412396 | − | 0.0455754i | 0.0357592 | − | 0.00395189i | ||||
\(134\) | 8.03576 | + | 10.0765i | 0.694184 | + | 0.870479i | ||||
\(135\) | 0.187595 | + | 0.0580944i | 0.0161456 | + | 0.00499997i | ||||
\(136\) | 0.235758 | − | 0.600702i | 0.0202161 | − | 0.0515098i | ||||
\(137\) | −8.50874 | − | 4.09759i | −0.726951 | − | 0.350081i | 0.0335333 | − | 0.999438i | \(-0.489324\pi\) |
−0.760484 | + | 0.649357i | \(0.775038\pi\) | |||||||
\(138\) | −3.68471 | − | 4.17841i | −0.313663 | − | 0.355690i | ||||
\(139\) | 2.99627 | + | 2.04282i | 0.254140 | + | 0.173270i | 0.683688 | − | 0.729774i | \(-0.260375\pi\) |
−0.429548 | + | 0.903044i | \(0.641327\pi\) | |||||||
\(140\) | −0.0903617 | − | 0.260016i | −0.00763696 | − | 0.0219754i | ||||
\(141\) | 1.34863 | − | 1.87436i | 0.113575 | − | 0.157850i | ||||
\(142\) | 10.6549 | + | 7.26441i | 0.894142 | + | 0.609615i | ||||
\(143\) | −4.21002 | + | 1.29862i | −0.352060 | + | 0.108596i | ||||
\(144\) | 2.38211 | − | 5.26885i | 0.198509 | − | 0.439071i | ||||
\(145\) | −0.275768 | + | 0.0415653i | −0.0229012 | + | 0.00345181i | ||||
\(146\) | −11.2341 | + | 19.4581i | −0.929742 | + | 1.61036i | ||||
\(147\) | −6.36997 | + | 10.3162i | −0.525386 | + | 0.850864i | ||||
\(148\) | −9.76048 | − | 16.9057i | −0.802307 | − | 1.38964i | ||||
\(149\) | 0.167802 | + | 0.210416i | 0.0137468 | + | 0.0172380i | 0.788657 | − | 0.614833i | \(-0.210777\pi\) |
−0.774911 | + | 0.632071i | \(0.782205\pi\) | |||||||
\(150\) | 5.10533 | + | 18.1713i | 0.416849 | + | 1.48368i | ||||
\(151\) | −1.57051 | + | 6.88085i | −0.127806 | + | 0.559956i | 0.869958 | + | 0.493126i | \(0.164146\pi\) |
−0.997764 | + | 0.0668301i | \(0.978711\pi\) | |||||||
\(152\) | −0.0192352 | + | 0.256675i | −0.00156018 | + | 0.0208191i | ||||
\(153\) | −1.14322 | + | 0.290196i | −0.0924241 | + | 0.0234609i | ||||
\(154\) | −14.4045 | − | 10.6785i | −1.16075 | − | 0.860500i | ||||
\(155\) | −0.0200027 | + | 0.266917i | −0.00160665 | + | 0.0214393i | ||||
\(156\) | −6.62408 | + | 1.33652i | −0.530351 | + | 0.107008i | ||||
\(157\) | 11.7961 | − | 8.04242i | 0.941428 | − | 0.641855i | 0.00775077 | − | 0.999970i | \(-0.497533\pi\) |
0.933677 | + | 0.358115i | \(0.116580\pi\) | |||||||
\(158\) | −31.8439 | + | 4.79970i | −2.53337 | + | 0.381844i | ||||
\(159\) | −12.9303 | + | 0.640506i | −1.02544 | + | 0.0507954i | ||||
\(160\) | −0.279719 | + | 0.0421608i | −0.0221137 | + | 0.00333310i | ||||
\(161\) | 3.58104 | − | 1.55331i | 0.282226 | − | 0.122418i | ||||
\(162\) | 19.2377 | − | 3.85922i | 1.51146 | − | 0.303209i | ||||
\(163\) | 10.0470 | − | 6.84994i | 0.786943 | − | 0.536529i | −0.101870 | − | 0.994798i | \(-0.532483\pi\) |
0.888814 | + | 0.458269i | \(0.151530\pi\) | |||||||
\(164\) | −1.90453 | − | 8.34428i | −0.148719 | − | 0.651579i | ||||
\(165\) | −0.155840 | − | 0.130864i | −0.0121322 | − | 0.0101878i | ||||
\(166\) | 26.1210 | 2.02738 | ||||||||
\(167\) | 3.91554 | − | 3.63309i | 0.302994 | − | 0.281137i | −0.513992 | − | 0.857795i | \(-0.671834\pi\) |
0.816986 | + | 0.576658i | \(0.195643\pi\) | |||||||
\(168\) | −5.56440 | − | 5.06079i | −0.429303 | − | 0.390448i | ||||
\(169\) | 8.05729 | + | 7.47607i | 0.619791 | + | 0.575082i | ||||
\(170\) | 0.0237469 | + | 0.0220339i | 0.00182130 | + | 0.00168992i | ||||
\(171\) | 0.401621 | − | 0.245016i | 0.0307127 | − | 0.0187368i | ||||
\(172\) | 13.5700 | + | 2.04534i | 1.03470 | + | 0.155956i | ||||
\(173\) | −10.3816 | + | 3.20229i | −0.789295 | + | 0.243465i | −0.663091 | − | 0.748539i | \(-0.730756\pi\) |
−0.126204 | + | 0.992004i | \(0.540279\pi\) | |||||||
\(174\) | −22.2172 | + | 16.8158i | −1.68428 | + | 1.27481i | ||||
\(175\) | −13.2146 | − | 0.522680i | −0.998933 | − | 0.0395109i | ||||
\(176\) | −4.39231 | + | 4.07546i | −0.331082 | + | 0.307200i | ||||
\(177\) | 21.7045 | − | 7.89066i | 1.63141 | − | 0.593098i | ||||
\(178\) | −31.6712 | −2.37386 | ||||||||
\(179\) | 10.9335 | − | 10.1448i | 0.817208 | − | 0.758258i | −0.156105 | − | 0.987740i | \(-0.549894\pi\) |
0.973313 | + | 0.229482i | \(0.0737033\pi\) | |||||||
\(180\) | −0.217772 | − | 0.223603i | −0.0162318 | − | 0.0166664i | ||||
\(181\) | 1.09086 | − | 1.36790i | 0.0810832 | − | 0.101675i | −0.739635 | − | 0.673008i | \(-0.765002\pi\) |
0.820718 | + | 0.571333i | \(0.193573\pi\) | |||||||
\(182\) | 0.932595 | − | 8.12131i | 0.0691286 | − | 0.601992i | ||||
\(183\) | 7.87010 | − | 4.28204i | 0.581775 | − | 0.316537i | ||||
\(184\) | 0.538847 | + | 2.36084i | 0.0397243 | + | 0.174044i | ||||
\(185\) | 0.265010 | − | 0.0399438i | 0.0194839 | − | 0.00293672i | ||||
\(186\) | 10.9899 | + | 24.3803i | 0.805820 | + | 1.78765i | ||||
\(187\) | 1.20856 | + | 0.182161i | 0.0883787 | + | 0.0133209i | ||||
\(188\) | −3.30661 | + | 1.59238i | −0.241159 | + | 0.116136i | ||||
\(189\) | −1.58362 | + | 13.6562i | −0.115191 | + | 0.993343i | ||||
\(190\) | −0.0116416 | − | 0.00560630i | −0.000844571 | − | 0.000406724i | ||||
\(191\) | −6.03525 | − | 4.11476i | −0.436695 | − | 0.297734i | 0.324946 | − | 0.945733i | \(-0.394654\pi\) |
−0.761641 | + | 0.647999i | \(0.775606\pi\) | |||||||
\(192\) | −17.2116 | + | 13.0272i | −1.24214 | + | 0.940160i | ||||
\(193\) | 0.384546 | − | 5.13141i | 0.0276802 | − | 0.369367i | −0.966113 | − | 0.258121i | \(-0.916897\pi\) |
0.993793 | − | 0.111246i | \(-0.0354843\pi\) | |||||||
\(194\) | 9.33306 | + | 11.7033i | 0.670075 | + | 0.840247i | ||||
\(195\) | 0.0161441 | − | 0.0913591i | 0.00115610 | − | 0.00654236i | ||||
\(196\) | 16.7293 | − | 9.56379i | 1.19495 | − | 0.683128i | ||||
\(197\) | −15.8760 | −1.13112 | −0.565559 | − | 0.824708i | \(-0.691340\pi\) | ||||
−0.565559 | + | 0.824708i | \(0.691340\pi\) | |||||||
\(198\) | −19.9257 | − | 4.04349i | −1.41606 | − | 0.287358i | ||||
\(199\) | −2.82136 | − | 1.92357i | −0.200001 | − | 0.136358i | 0.459178 | − | 0.888344i | \(-0.348144\pi\) |
−0.659179 | + | 0.751986i | \(0.729096\pi\) | |||||||
\(200\) | 1.82564 | − | 7.99867i | 0.129092 | − | 0.565591i | ||||
\(201\) | −7.15234 | + | 7.32749i | −0.504487 | + | 0.516841i | ||||
\(202\) | −2.48502 | − | 33.1603i | −0.174846 | − | 2.33315i | ||||
\(203\) | −6.40872 | − | 18.4411i | −0.449804 | − | 1.29431i | ||||
\(204\) | 1.81649 | + | 0.463254i | 0.127180 | + | 0.0324343i | ||||
\(205\) | 0.116192 | + | 0.0175131i | 0.00811521 | + | 0.00122317i | ||||
\(206\) | −0.212389 | − | 2.83414i | −0.0147978 | − | 0.197464i | ||||
\(207\) | 2.93112 | − | 3.31639i | 0.203727 | − | 0.230505i | ||||
\(208\) | −2.61029 | − | 0.805167i | −0.180991 | − | 0.0558283i | ||||
\(209\) | −0.482059 | + | 0.0726587i | −0.0333447 | + | 0.00502590i | ||||
\(210\) | 0.338541 | − | 0.167208i | 0.0233616 | − | 0.0115384i | ||||
\(211\) | 1.78432 | + | 0.268944i | 0.122838 | + | 0.0185148i | 0.210173 | − | 0.977664i | \(-0.432597\pi\) |
−0.0873355 | + | 0.996179i | \(0.527835\pi\) | |||||||
\(212\) | 18.5386 | + | 8.92770i | 1.27323 | + | 0.613157i | ||||
\(213\) | −4.67743 | + | 9.11532i | −0.320492 | + | 0.624572i | ||||
\(214\) | 16.7739 | 1.14664 | ||||||||
\(215\) | −0.0942030 | + | 0.163164i | −0.00642459 | + | 0.0111277i | ||||
\(216\) | −8.14695 | − | 2.52295i | −0.554330 | − | 0.171665i | ||||
\(217\) | −18.6244 | + | 2.05825i | −1.26430 | + | 0.139723i | ||||
\(218\) | −1.98224 | − | 1.83925i | −0.134254 | − | 0.124570i | ||||
\(219\) | −16.4463 | − | 6.93989i | −1.11134 | − | 0.468954i | ||||
\(220\) | 0.118164 | + | 0.301077i | 0.00796662 | + | 0.0202986i | ||||
\(221\) | 0.203569 | + | 0.518685i | 0.0136935 | + | 0.0348905i | ||||
\(222\) | 21.3504 | − | 16.1598i | 1.43295 | − | 1.08458i | ||||
\(223\) | −20.9192 | − | 19.4102i | −1.40086 | − | 1.29980i | −0.901082 | − | 0.433648i | \(-0.857226\pi\) |
−0.499773 | − | 0.866156i | \(-0.666583\pi\) | |||||||
\(224\) | −6.50054 | − | 18.7053i | −0.434335 | − | 1.24980i | ||||
\(225\) | −13.8225 | + | 5.81458i | −0.921501 | + | 0.387639i | ||||
\(226\) | 13.0710 | − | 22.6397i | 0.869473 | − | 1.50597i | ||||
\(227\) | 19.1373 | 1.27019 | 0.635093 | − | 0.772435i | \(-0.280962\pi\) | ||||
0.635093 | + | 0.772435i | \(0.280962\pi\) | |||||||
\(228\) | −0.746819 | + | 0.0369939i | −0.0494593 | + | 0.00244998i | ||||
\(229\) | −6.62370 | − | 3.18981i | −0.437707 | − | 0.210788i | 0.202035 | − | 0.979378i | \(-0.435244\pi\) |
−0.639742 | + | 0.768590i | \(0.720959\pi\) | |||||||
\(230\) | −0.120204 | − | 0.0181179i | −0.00792603 | − | 0.00119466i | ||||
\(231\) | 6.99964 | − | 12.4076i | 0.460542 | − | 0.816358i | ||||
\(232\) | 11.9762 | − | 1.80512i | 0.786274 | − | 0.118512i | ||||
\(233\) | −29.0806 | − | 8.97017i | −1.90513 | − | 0.587655i | −0.975930 | − | 0.218084i | \(-0.930019\pi\) |
−0.929202 | − | 0.369572i | \(-0.879504\pi\) | |||||||
\(234\) | −2.94559 | − | 8.78874i | −0.192559 | − | 0.574538i | ||||
\(235\) | −0.00376536 | − | 0.0502452i | −0.000245625 | − | 0.00327764i | ||||
\(236\) | −36.2955 | − | 5.47066i | −2.36264 | − | 0.356110i | ||||
\(237\) | −6.92033 | − | 24.6314i | −0.449523 | − | 1.59998i | ||||
\(238\) | −1.21061 | + | 1.91759i | −0.0784723 | + | 0.124299i | ||||
\(239\) | −1.69669 | − | 22.6408i | −0.109750 | − | 1.46451i | −0.731792 | − | 0.681528i | \(-0.761316\pi\) |
0.622042 | − | 0.782984i | \(-0.286303\pi\) | |||||||
\(240\) | −0.0341275 | − | 0.121470i | −0.00220292 | − | 0.00784083i | ||||
\(241\) | 1.38444 | − | 6.06564i | 0.0891798 | − | 0.390722i | −0.910564 | − | 0.413369i | \(-0.864352\pi\) |
0.999744 | + | 0.0226465i | \(0.00720921\pi\) | |||||||
\(242\) | −2.40664 | − | 1.64082i | −0.154705 | − | 0.105476i | ||||
\(243\) | 4.93724 | + | 14.7859i | 0.316724 | + | 0.948518i | ||||
\(244\) | −14.2401 | −0.911631 | ||||||||
\(245\) | 0.0383143 | + | 0.261770i | 0.00244781 | + | 0.0167239i | ||||
\(246\) | 11.0335 | − | 4.01123i | 0.703471 | − | 0.255746i | ||||
\(247\) | −0.138572 | − | 0.173763i | −0.00881710 | − | 0.0110563i | ||||
\(248\) | 0.868687 | − | 11.5918i | 0.0551617 | − | 0.736081i | ||||
\(249\) | 2.57280 | + | 20.5925i | 0.163044 | + | 1.30499i | ||||
\(250\) | 0.680684 | + | 0.464083i | 0.0430503 | + | 0.0293512i | ||||
\(251\) | 0.485748 | + | 0.233924i | 0.0306602 | + | 0.0147652i | 0.449151 | − | 0.893456i | \(-0.351727\pi\) |
−0.418491 | + | 0.908221i | \(0.637441\pi\) | |||||||
\(252\) | 12.5842 | − | 17.8626i | 0.792731 | − | 1.12524i | ||||
\(253\) | −4.13221 | + | 1.98997i | −0.259790 | + | 0.125108i | ||||
\(254\) | 19.1044 | + | 2.87952i | 1.19872 | + | 0.180677i | ||||
\(255\) | −0.0150314 | + | 0.0208911i | −0.000941305 | + | 0.00130825i | ||||
\(256\) | 1.65430 | − | 0.249345i | 0.103394 | − | 0.0155841i | ||||
\(257\) | 3.48744 | + | 15.2795i | 0.217540 | + | 0.953107i | 0.959288 | + | 0.282428i | \(0.0911399\pi\) |
−0.741748 | + | 0.670679i | \(0.766003\pi\) | |||||||
\(258\) | −0.476287 | + | 18.8178i | −0.0296523 | + | 1.17155i | ||||
\(259\) | 6.15871 | + | 17.7217i | 0.382683 | + | 1.10117i | ||||
\(260\) | −0.0919355 | + | 0.115284i | −0.00570160 | + | 0.00714958i | ||||
\(261\) | −15.4451 | − | 15.8586i | −0.956025 | − | 0.981623i | ||||
\(262\) | −13.6795 | + | 12.6927i | −0.845121 | + | 0.784158i | ||||
\(263\) | 5.43837 | 0.335344 | 0.167672 | − | 0.985843i | \(-0.446375\pi\) | ||||
0.167672 | + | 0.985843i | \(0.446375\pi\) | |||||||
\(264\) | 6.76792 | + | 5.68325i | 0.416537 | + | 0.349780i | ||||
\(265\) | −0.207080 | + | 0.192143i | −0.0127208 | + | 0.0118032i | ||||
\(266\) | 0.235975 | − | 0.873218i | 0.0144686 | − | 0.0535404i | ||||
\(267\) | −3.11947 | − | 24.9680i | −0.190909 | − | 1.52802i | ||||
\(268\) | 15.5514 | − | 4.79697i | 0.949953 | − | 0.293022i | ||||
\(269\) | −7.39279 | − | 1.11428i | −0.450746 | − | 0.0679391i | −0.0802536 | − | 0.996774i | \(-0.525573\pi\) |
−0.370493 | + | 0.928835i | \(0.620811\pi\) | |||||||
\(270\) | 0.267313 | − | 0.334434i | 0.0162681 | − | 0.0203530i | ||||
\(271\) | 15.2855 | + | 14.1829i | 0.928531 | + | 0.861551i | 0.990637 | − | 0.136519i | \(-0.0435915\pi\) |
−0.0621068 | + | 0.998070i | \(0.519782\pi\) | |||||||
\(272\) | 0.555501 | + | 0.515430i | 0.0336822 | + | 0.0312525i | ||||
\(273\) | 6.49429 | − | 0.0647008i | 0.393053 | − | 0.00391587i | ||||
\(274\) | −15.0927 | + | 14.0040i | −0.911786 | + | 0.846014i | ||||
\(275\) | 15.5390 | 0.937037 | ||||||||
\(276\) | −6.61130 | + | 2.40353i | −0.397953 | + | 0.144676i | ||||
\(277\) | 4.34452 | + | 19.0346i | 0.261037 | + | 1.14368i | 0.920129 | + | 0.391615i | \(0.128083\pi\) |
−0.659092 | + | 0.752062i | \(0.729059\pi\) | |||||||
\(278\) | 6.53219 | − | 4.45357i | 0.391775 | − | 0.267108i | ||||
\(279\) | −18.1378 | + | 11.0653i | −1.08588 | + | 0.662460i | ||||
\(280\) | −0.163996 | − | 0.00648654i | −0.00980063 | − | 0.000387645i | ||||
\(281\) | −27.8414 | + | 4.19641i | −1.66088 | + | 0.250337i | −0.911348 | − | 0.411636i | \(-0.864958\pi\) |
−0.749528 | + | 0.661973i | \(0.769719\pi\) | |||||||
\(282\) | −2.72968 | − | 4.22982i | −0.162550 | − | 0.251882i | ||||
\(283\) | 29.4174 | − | 4.43396i | 1.74868 | − | 0.263572i | 0.804729 | − | 0.593643i | \(-0.202311\pi\) |
0.943956 | + | 0.330071i | \(0.107073\pi\) | |||||||
\(284\) | 13.4542 | − | 9.17293i | 0.798361 | − | 0.544313i | ||||
\(285\) | 0.00327308 | − | 0.00972986i | 0.000193881 | − | 0.000576347i | ||||
\(286\) | −0.717785 | + | 9.57818i | −0.0424435 | + | 0.566369i | ||||
\(287\) | 0.290043 | + | 8.22071i | 0.0171207 | + | 0.485253i | ||||
\(288\) | −15.6664 | − | 16.0858i | −0.923149 | − | 0.947866i | ||||
\(289\) | −1.25886 | + | 16.7983i | −0.0740506 | + | 0.988137i | ||||
\(290\) | −0.135291 | + | 0.592750i | −0.00794458 | + | 0.0348075i | ||||
\(291\) | −8.30703 | + | 8.51044i | −0.486967 | + | 0.498891i | ||||
\(292\) | 17.6891 | + | 22.1815i | 1.03518 | + | 1.29807i | ||||
\(293\) | −10.0052 | − | 17.3294i | −0.584508 | − | 1.01240i | −0.994937 | − | 0.100504i | \(-0.967954\pi\) |
0.410429 | − | 0.911893i | \(-0.365379\pi\) | |||||||
\(294\) | 15.8621 | + | 21.1439i | 0.925099 | + | 1.23314i | ||||
\(295\) | 0.251964 | − | 0.436415i | 0.0146699 | − | 0.0254091i | ||||
\(296\) | −11.5090 | + | 1.73470i | −0.668945 | + | 0.100827i | ||||
\(297\) | 1.22509 | − | 16.1067i | 0.0710871 | − | 0.934605i | ||||
\(298\) | 0.560671 | − | 0.172944i | 0.0324788 | − | 0.0100184i | ||||
\(299\) | −1.72761 | − | 1.17786i | −0.0999101 | − | 0.0681175i | ||||
\(300\) | 23.7144 | + | 2.38189i | 1.36915 | + | 0.137519i | ||||
\(301\) | −12.4398 | − | 4.38266i | −0.717017 | − | 0.252613i | ||||
\(302\) | 12.7132 | + | 8.66768i | 0.731560 | + | 0.498769i | ||||
\(303\) | 25.8972 | − | 5.22521i | 1.48776 | − | 0.300181i | ||||
\(304\) | −0.272328 | − | 0.131146i | −0.0156191 | − | 0.00752174i | ||||
\(305\) | 0.0714250 | − | 0.181988i | 0.00408978 | − | 0.0104206i | ||||
\(306\) | −0.321633 | + | 2.55120i | −0.0183866 | + | 0.145842i | ||||
\(307\) | 20.4721 | + | 25.6712i | 1.16841 | + | 1.46514i | 0.857343 | + | 0.514746i | \(0.172114\pi\) |
0.311064 | + | 0.950389i | \(0.399315\pi\) | |||||||
\(308\) | −19.1971 | + | 12.0053i | −1.09385 | + | 0.684064i | ||||
\(309\) | 2.21337 | − | 0.446586i | 0.125914 | − | 0.0254054i | ||||
\(310\) | 0.525752 | + | 0.253189i | 0.0298607 | + | 0.0143801i | ||||
\(311\) | 0.865667 | + | 0.267023i | 0.0490875 | + | 0.0151415i | 0.319202 | − | 0.947687i | \(-0.396585\pi\) |
−0.270114 | + | 0.962828i | \(0.587061\pi\) | |||||||
\(312\) | −0.701114 | + | 3.96759i | −0.0396927 | + | 0.224620i | ||||
\(313\) | −13.3744 | − | 23.1651i | −0.755964 | − | 1.30937i | −0.944893 | − | 0.327378i | \(-0.893835\pi\) |
0.188929 | − | 0.981991i | \(-0.439498\pi\) | |||||||
\(314\) | −6.92597 | − | 30.3446i | −0.390855 | − | 1.71245i | ||||
\(315\) | 0.165163 | + | 0.250420i | 0.00930589 | + | 0.0141096i | ||||
\(316\) | −9.04864 | + | 39.6447i | −0.509026 | + | 2.23019i | ||||
\(317\) | 13.5877 | − | 4.19127i | 0.763164 | − | 0.235405i | 0.111347 | − | 0.993782i | \(-0.464483\pi\) |
0.651817 | + | 0.758377i | \(0.274007\pi\) | |||||||
\(318\) | −8.99891 | + | 26.7510i | −0.504634 | + | 1.50012i | ||||
\(319\) | 8.38055 | + | 21.3533i | 0.469221 | + | 1.19555i | ||||
\(320\) | −0.104810 | + | 0.459204i | −0.00585907 | + | 0.0256703i | ||||
\(321\) | 1.65216 | + | 13.2237i | 0.0922145 | + | 0.738077i | ||||
\(322\) | −0.300058 | − | 8.50457i | −0.0167216 | − | 0.473941i | ||||
\(323\) | 0.0137196 | + | 0.0601094i | 0.000763378 | + | 0.00334458i | ||||
\(324\) | 4.33855 | − | 24.3930i | 0.241031 | − | 1.35517i | ||||
\(325\) | 3.54209 | + | 6.13508i | 0.196480 | + | 0.340313i | ||||
\(326\) | −5.89903 | − | 25.8453i | −0.326717 | − | 1.43144i | ||||
\(327\) | 1.25473 | − | 1.74386i | 0.0693867 | − | 0.0964354i | ||||
\(328\) | −5.04605 | − | 0.760570i | −0.278622 | − | 0.0419954i | ||||
\(329\) | 3.40900 | − | 0.905650i | 0.187944 | − | 0.0499301i | ||||
\(330\) | −0.389701 | + | 0.212032i | −0.0214523 | + | 0.0116720i | ||||
\(331\) | 16.7891 | − | 15.5780i | 0.922810 | − | 0.856243i | −0.0671276 | − | 0.997744i | \(-0.521383\pi\) |
0.989938 | + | 0.141501i | \(0.0451930\pi\) | |||||||
\(332\) | 12.0502 | − | 30.7035i | 0.661343 | − | 1.68507i | ||||
\(333\) | 14.8425 | + | 15.2400i | 0.813366 | + | 0.835144i | ||||
\(334\) | −4.25436 | − | 10.8399i | −0.232788 | − | 0.593134i | ||||
\(335\) | −0.0166970 | + | 0.222806i | −0.000912256 | + | 0.0121732i | ||||
\(336\) | 7.91936 | − | 3.91143i | 0.432037 | − | 0.213386i | ||||
\(337\) | −2.46042 | − | 32.8320i | −0.134028 | − | 1.78847i | −0.508326 | − | 0.861165i | \(-0.669735\pi\) |
0.374298 | − | 0.927308i | \(-0.377884\pi\) | |||||||
\(338\) | 21.5895 | − | 10.3969i | 1.17431 | − | 0.565519i | ||||
\(339\) | 19.1355 | + | 8.07465i | 1.03929 | + | 0.438555i | ||||
\(340\) | 0.0368544 | − | 0.0177481i | 0.00199871 | − | 0.000962528i | ||||
\(341\) | 21.7705 | − | 3.28137i | 1.17894 | − | 0.177696i | ||||
\(342\) | −0.177352 | − | 1.01020i | −0.00959008 | − | 0.0546255i | ||||
\(343\) | −17.5197 | + | 6.00489i | −0.945977 | + | 0.324234i | ||||
\(344\) | 4.09109 | − | 7.08598i | 0.220577 | − | 0.382051i | ||||
\(345\) | 0.00244365 | − | 0.0965475i | 0.000131562 | − | 0.00519794i | ||||
\(346\) | −1.77000 | + | 23.6190i | −0.0951556 | + | 1.26976i | ||||
\(347\) | −0.388671 | − | 0.360634i | −0.0208649 | − | 0.0193598i | 0.669671 | − | 0.742658i | \(-0.266435\pi\) |
−0.690536 | + | 0.723298i | \(0.742625\pi\) | |||||||
\(348\) | 9.51663 | + | 33.8724i | 0.510145 | + | 1.81575i | ||||
\(349\) | 3.84847 | − | 2.62384i | 0.206004 | − | 0.140451i | −0.455924 | − | 0.890019i | \(-0.650691\pi\) |
0.661927 | + | 0.749568i | \(0.269739\pi\) | |||||||
\(350\) | −11.5860 | + | 26.4016i | −0.619296 | + | 1.41122i | ||||
\(351\) | 6.63848 | − | 3.18781i | 0.354336 | − | 0.170153i | ||||
\(352\) | 8.50062 | + | 21.6592i | 0.453084 | + | 1.15444i | ||||
\(353\) | 25.4839 | + | 12.2724i | 1.35637 | + | 0.653193i | 0.963824 | − | 0.266540i | \(-0.0858805\pi\) |
0.392545 | + | 0.919733i | \(0.371595\pi\) | |||||||
\(354\) | 1.27392 | − | 50.3320i | 0.0677082 | − | 2.67512i | ||||
\(355\) | 0.0497464 | + | 0.217953i | 0.00264027 | + | 0.0115678i | ||||
\(356\) | −14.6107 | + | 37.2275i | −0.774366 | + | 1.97305i | ||||
\(357\) | −1.63097 | − | 0.765512i | −0.0863201 | − | 0.0405152i | ||||
\(358\) | −11.8796 | − | 30.2687i | −0.627855 | − | 1.59975i | ||||
\(359\) | 20.2460 | − | 13.8035i | 1.06854 | − | 0.728522i | 0.104571 | − | 0.994517i | \(-0.466653\pi\) |
0.963974 | + | 0.265996i | \(0.0857008\pi\) | |||||||
\(360\) | −0.171540 | + | 0.0721599i | −0.00904094 | + | 0.00380316i | ||||
\(361\) | 9.48770 | + | 16.4332i | 0.499353 | + | 0.864904i | ||||
\(362\) | −1.90717 | − | 3.30331i | −0.100238 | − | 0.173618i | ||||
\(363\) | 1.05650 | − | 2.05889i | 0.0554518 | − | 0.108064i | ||||
\(364\) | −9.11585 | − | 4.84276i | −0.477800 | − | 0.253830i | ||||
\(365\) | −0.372202 | + | 0.114809i | −0.0194820 | + | 0.00600939i | ||||
\(366\) | −2.42159 | − | 19.3822i | −0.126578 | − | 1.01312i | ||||
\(367\) | 11.8130 | − | 14.8130i | 0.616634 | − | 0.773234i | −0.371233 | − | 0.928540i | \(-0.621065\pi\) |
0.987866 | + | 0.155306i | \(0.0496363\pi\) | |||||||
\(368\) | −2.81189 | − | 0.423824i | −0.146580 | − | 0.0220934i | ||||
\(369\) | 4.24900 | + | 8.30318i | 0.221194 | + | 0.432246i | ||||
\(370\) | 0.130014 | − | 0.569626i | 0.00675908 | − | 0.0296135i | ||||
\(371\) | −15.8863 | − | 11.7770i | −0.824776 | − | 0.611433i | ||||
\(372\) | 33.7274 | − | 1.67070i | 1.74869 | − | 0.0866216i | ||||
\(373\) | −15.4534 | −0.800147 | −0.400073 | − | 0.916483i | \(-0.631015\pi\) | ||||
−0.400073 | + | 0.916483i | \(0.631015\pi\) | |||||||
\(374\) | 1.33228 | − | 2.30757i | 0.0688904 | − | 0.119322i | ||||
\(375\) | −0.298815 | + | 0.582328i | −0.0154308 | + | 0.0300713i | ||||
\(376\) | 0.163524 | + | 2.18207i | 0.00843310 | + | 0.112532i | ||||
\(377\) | −6.52034 | + | 8.17625i | −0.335815 | + | 0.421098i | ||||
\(378\) | 26.4527 | + | 14.0907i | 1.36058 | + | 0.724749i | ||||
\(379\) | 21.0612 | + | 26.4099i | 1.08184 | + | 1.35658i | 0.929739 | + | 0.368219i | \(0.120032\pi\) |
0.152100 | + | 0.988365i | \(0.451396\pi\) | |||||||
\(380\) | −0.0119604 | + | 0.0110976i | −0.000613556 | + | 0.000569297i | ||||
\(381\) | −0.388377 | + | 15.3446i | −0.0198972 | + | 0.786126i | ||||
\(382\) | −13.1575 | + | 8.97063i | −0.673196 | + | 0.458977i | ||||
\(383\) | −9.22953 | + | 11.5735i | −0.471607 | + | 0.591377i | −0.959564 | − | 0.281491i | \(-0.909171\pi\) |
0.487957 | + | 0.872868i | \(0.337742\pi\) | |||||||
\(384\) | 5.71576 | + | 20.3440i | 0.291681 | + | 1.03818i | ||||
\(385\) | −0.0571391 | − | 0.305553i | −0.00291208 | − | 0.0155724i | ||||
\(386\) | −10.1074 | − | 4.86748i | −0.514455 | − | 0.247748i | ||||
\(387\) | −14.8820 | + | 1.47799i | −0.756493 | + | 0.0751305i | ||||
\(388\) | 18.0620 | − | 5.57140i | 0.916961 | − | 0.282845i | ||||
\(389\) | −22.2108 | + | 10.6961i | −1.12613 | + | 0.542316i | −0.901781 | − | 0.432193i | \(-0.857740\pi\) |
−0.224349 | + | 0.974509i | \(0.572026\pi\) | |||||||
\(390\) | −0.172546 | − | 0.105529i | −0.00873721 | − | 0.00534366i | ||||
\(391\) | 0.290024 | + | 0.502337i | 0.0146672 | + | 0.0254043i | ||||
\(392\) | −1.66393 | − | 11.3683i | −0.0840414 | − | 0.574184i | ||||
\(393\) | −11.3537 | − | 9.53405i | −0.572716 | − | 0.480929i | ||||
\(394\) | −12.6450 | + | 32.2188i | −0.637044 | + | 1.62316i | ||||
\(395\) | −0.461271 | − | 0.314489i | −0.0232091 | − | 0.0158237i | ||||
\(396\) | −13.9451 | + | 21.5560i | −0.700766 | + | 1.08323i | ||||
\(397\) | 0.961555 | − | 12.8311i | 0.0482591 | − | 0.643973i | −0.919661 | − | 0.392714i | \(-0.871536\pi\) |
0.967920 | − | 0.251259i | \(-0.0808446\pi\) | |||||||
\(398\) | −6.15087 | + | 4.19359i | −0.308315 | + | 0.210206i | ||||
\(399\) | 0.711644 | + | 0.100023i | 0.0356268 | + | 0.00500741i | ||||
\(400\) | 7.96035 | + | 5.42728i | 0.398018 | + | 0.271364i | ||||
\(401\) | 8.35568 | − | 10.4777i | 0.417263 | − | 0.523231i | −0.528131 | − | 0.849163i | \(-0.677107\pi\) |
0.945393 | + | 0.325933i | \(0.105678\pi\) | |||||||
\(402\) | 9.17372 | + | 20.3512i | 0.457544 | + | 1.01503i | ||||
\(403\) | 6.25809 | + | 7.84740i | 0.311738 | + | 0.390907i | ||||
\(404\) | −40.1242 | − | 12.3767i | −1.99626 | − | 0.615763i | ||||
\(405\) | 0.289980 | + | 0.177796i | 0.0144092 | + | 0.00883475i | ||||
\(406\) | −42.5289 | − | 1.68215i | −2.11068 | − | 0.0834837i | ||||
\(407\) | −8.05361 | − | 20.5203i | −0.399203 | − | 1.01715i | ||||
\(408\) | 0.652793 | − | 0.907268i | 0.0323181 | − | 0.0449165i | ||||
\(409\) | 33.0155 | + | 10.1839i | 1.63251 | + | 0.503563i | 0.969509 | − | 0.245055i | \(-0.0788061\pi\) |
0.663001 | + | 0.748618i | \(0.269282\pi\) | |||||||
\(410\) | 0.128086 | − | 0.221852i | 0.00632573 | − | 0.0109565i | ||||
\(411\) | −12.5266 | − | 10.5190i | −0.617894 | − | 0.518866i | ||||
\(412\) | −3.42932 | − | 1.05781i | −0.168951 | − | 0.0521144i | ||||
\(413\) | 33.2726 | + | 11.7223i | 1.63724 | + | 0.576816i | ||||
\(414\) | −4.39572 | − | 8.58989i | −0.216038 | − | 0.422170i | ||||
\(415\) | 0.331948 | + | 0.308003i | 0.0162947 | + | 0.0151193i | ||||
\(416\) | −6.61376 | + | 8.29339i | −0.324266 | + | 0.406617i | ||||
\(417\) | 4.15437 | + | 4.71100i | 0.203440 | + | 0.230699i | ||||
\(418\) | −0.236498 | + | 1.03616i | −0.0115675 | + | 0.0506804i | ||||
\(419\) | 5.22099 | − | 1.61046i | 0.255062 | − | 0.0786763i | −0.164587 | − | 0.986363i | \(-0.552629\pi\) |
0.419649 | + | 0.907686i | \(0.362153\pi\) | |||||||
\(420\) | −0.0403647 | − | 0.475070i | −0.00196960 | − | 0.0231811i | ||||
\(421\) | −30.3222 | − | 9.35316i | −1.47781 | − | 0.455845i | −0.552006 | − | 0.833840i | \(-0.686137\pi\) |
−0.925808 | + | 0.377995i | \(0.876614\pi\) | |||||||
\(422\) | 1.96698 | − | 3.40691i | 0.0957511 | − | 0.165846i | ||||
\(423\) | 3.06572 | − | 2.56856i | 0.149060 | − | 0.124888i | ||||
\(424\) | 8.99319 | − | 8.34446i | 0.436748 | − | 0.405243i | ||||
\(425\) | −0.146862 | − | 1.95974i | −0.00712387 | − | 0.0950615i | ||||
\(426\) | 14.7732 | + | 16.7526i | 0.715764 | + | 0.811667i | ||||
\(427\) | 13.4420 | + | 2.57306i | 0.650502 | + | 0.124519i | ||||
\(428\) | 7.73823 | − | 19.7167i | 0.374041 | − | 0.953042i | ||||
\(429\) | −7.62166 | + | 0.377541i | −0.367977 | + | 0.0182279i | ||||
\(430\) | 0.256095 | + | 0.321134i | 0.0123500 | + | 0.0154864i | ||||
\(431\) | −2.04872 | − | 27.3382i | −0.0986832 | − | 1.31684i | −0.798275 | − | 0.602293i | \(-0.794254\pi\) |
0.699592 | − | 0.714542i | \(-0.253365\pi\) | |||||||
\(432\) | 6.25315 | − | 7.82329i | 0.300855 | − | 0.376398i | ||||
\(433\) | 30.0713 | − | 14.4816i | 1.44514 | − | 0.695941i | 0.463392 | − | 0.886153i | \(-0.346632\pi\) |
0.981743 | + | 0.190213i | \(0.0609177\pi\) | |||||||
\(434\) | −10.6570 | + | 39.4358i | −0.511551 | + | 1.89298i | ||||
\(435\) | −0.480620 | − | 0.0482738i | −0.0230440 | − | 0.00231455i | ||||
\(436\) | −3.07637 | + | 1.48150i | −0.147332 | + | 0.0709511i | ||||
\(437\) | −0.169602 | − | 0.157368i | −0.00811317 | − | 0.00752792i | ||||
\(438\) | −27.1830 | + | 27.8487i | −1.29886 | + | 1.33066i | ||||
\(439\) | 6.32092 | − | 16.1054i | 0.301681 | − | 0.768671i | −0.696987 | − | 0.717083i | \(-0.745477\pi\) |
0.998668 | − | 0.0515874i | \(-0.0164281\pi\) | |||||||
\(440\) | 0.192841 | 0.00919335 | ||||||||
\(441\) | −15.1065 | + | 14.5875i | −0.719355 | + | 0.694643i | ||||
\(442\) | 1.21476 | 0.0577803 | ||||||||
\(443\) | 4.60078 | − | 11.7226i | 0.218590 | − | 0.556958i | −0.778948 | − | 0.627088i | \(-0.784246\pi\) |
0.997538 | + | 0.0701309i | \(0.0223417\pi\) | |||||||
\(444\) | −9.14537 | − | 32.5510i | −0.434020 | − | 1.54480i | ||||
\(445\) | −0.402481 | − | 0.373448i | −0.0190794 | − | 0.0177031i | ||||
\(446\) | −56.0530 | + | 26.9937i | −2.65419 | + | 1.27819i | ||||
\(447\) | 0.191564 | + | 0.424971i | 0.00906068 | + | 0.0201004i | ||||
\(448\) | −32.9472 | − | 1.30316i | −1.55661 | − | 0.0615686i | ||||
\(449\) | −37.3734 | + | 17.9981i | −1.76376 | + | 0.849382i | −0.793038 | + | 0.609172i | \(0.791502\pi\) |
−0.970721 | + | 0.240209i | \(0.922784\pi\) | |||||||
\(450\) | 0.790745 | + | 32.6827i | 0.0372761 | + | 1.54068i | ||||
\(451\) | −0.722276 | − | 9.63810i | −0.0340106 | − | 0.453840i | ||||
\(452\) | −20.5815 | − | 25.8084i | −0.968073 | − | 1.21393i | ||||
\(453\) | −5.58098 | + | 10.8761i | −0.262217 | + | 0.511006i | ||||
\(454\) | 15.2425 | − | 38.8373i | 0.715367 | − | 1.82273i | ||||
\(455\) | 0.107613 | − | 0.0922099i | 0.00504498 | − | 0.00432287i | ||||
\(456\) | −0.142145 | + | 0.422553i | −0.00665656 | + | 0.0197879i | ||||
\(457\) | −0.798536 | − | 10.6557i | −0.0373539 | − | 0.498454i | −0.984235 | − | 0.176868i | \(-0.943403\pi\) |
0.946881 | − | 0.321585i | \(-0.104216\pi\) | |||||||
\(458\) | −11.7491 | + | 10.9016i | −0.548998 | + | 0.509396i | ||||
\(459\) | −2.04292 | − | 0.00227809i | −0.0953552 | − | 0.000106332i | ||||
\(460\) | −0.0767495 | + | 0.132934i | −0.00357846 | + | 0.00619808i | ||||
\(461\) | −17.0543 | − | 5.26056i | −0.794299 | − | 0.245009i | −0.129058 | − | 0.991637i | \(-0.541195\pi\) |
−0.665242 | + | 0.746628i | \(0.731671\pi\) | |||||||
\(462\) | −19.6049 | − | 24.0875i | −0.912102 | − | 1.12065i | ||||
\(463\) | 35.9567 | − | 11.0912i | 1.67105 | − | 0.515450i | 0.692491 | − | 0.721426i | \(-0.256513\pi\) |
0.978557 | + | 0.205976i | \(0.0660370\pi\) | |||||||
\(464\) | −3.16482 | + | 13.8660i | −0.146923 | + | 0.643712i | ||||
\(465\) | −0.147817 | + | 0.439414i | −0.00685486 | + | 0.0203774i | ||||
\(466\) | −41.3663 | + | 51.8717i | −1.91626 | + | 2.40291i | ||||
\(467\) | 17.0210 | + | 15.7932i | 0.787637 | + | 0.730820i | 0.967500 | − | 0.252872i | \(-0.0813750\pi\) |
−0.179863 | + | 0.983692i | \(0.557565\pi\) | |||||||
\(468\) | −11.6895 | − | 0.592109i | −0.540346 | − | 0.0273703i | ||||
\(469\) | −15.5465 | + | 1.71810i | −0.717871 | + | 0.0793346i | ||||
\(470\) | −0.104967 | − | 0.0323780i | −0.00484176 | − | 0.00149349i | ||||
\(471\) | 23.2400 | − | 8.44890i | 1.07084 | − | 0.389305i | ||||
\(472\) | −10.9424 | + | 18.9528i | −0.503666 | + | 0.872375i | ||||
\(473\) | 14.8085 | + | 4.56782i | 0.680896 | + | 0.210028i | ||||
\(474\) | −55.4990 | − | 5.57435i | −2.54916 | − | 0.256039i | ||||
\(475\) | 0.286382 | + | 0.729689i | 0.0131401 | + | 0.0334804i | ||||
\(476\) | 1.69551 | + | 2.30762i | 0.0777138 | + | 0.105770i | ||||
\(477\) | −21.9755 | − | 4.45945i | −1.00619 | − | 0.204184i | ||||
\(478\) | −47.2988 | − | 14.5897i | −2.16340 | − | 0.667319i | ||||
\(479\) | −6.73183 | − | 8.44144i | −0.307585 | − | 0.385699i | 0.603881 | − | 0.797074i | \(-0.293620\pi\) |
−0.911466 | + | 0.411375i | \(0.865049\pi\) | |||||||
\(480\) | −0.487506 | − | 0.0489654i | −0.0222515 | − | 0.00223495i | ||||
\(481\) | 6.26597 | − | 7.85728i | 0.285704 | − | 0.358261i | ||||
\(482\) | −11.2070 | − | 7.64077i | −0.510463 | − | 0.348028i | ||||
\(483\) | 6.67502 | − | 1.07421i | 0.303724 | − | 0.0488784i | ||||
\(484\) | −3.03892 | + | 2.07190i | −0.138133 | + | 0.0941774i | ||||
\(485\) | −0.0193926 | + | 0.258777i | −0.000880574 | + | 0.0117504i | ||||
\(486\) | 33.9391 | + | 1.75707i | 1.53951 | + | 0.0797022i | ||||
\(487\) | 8.59869 | + | 5.86249i | 0.389644 | + | 0.265655i | 0.742258 | − | 0.670114i | \(-0.233755\pi\) |
−0.352614 | + | 0.935769i | \(0.614707\pi\) | |||||||
\(488\) | −3.10188 | + | 7.90347i | −0.140416 | + | 0.357773i | ||||
\(489\) | 19.7941 | − | 7.19615i | 0.895122 | − | 0.325421i | ||||
\(490\) | 0.561754 | + | 0.130740i | 0.0253774 | + | 0.00590622i | ||||
\(491\) | 8.62964 | + | 14.9470i | 0.389450 | + | 0.674548i | 0.992376 | − | 0.123250i | \(-0.0393317\pi\) |
−0.602925 | + | 0.797798i | \(0.705998\pi\) | |||||||
\(492\) | 0.375091 | − | 14.8197i | 0.0169104 | − | 0.668122i | ||||
\(493\) | 2.61382 | − | 1.25875i | 0.117721 | − | 0.0566913i | ||||
\(494\) | −0.463006 | + | 0.142818i | −0.0208316 | + | 0.00642571i | ||||
\(495\) | −0.205539 | − | 0.286337i | −0.00923831 | − | 0.0128699i | ||||
\(496\) | 12.2987 | + | 5.92274i | 0.552228 | + | 0.265939i | ||||
\(497\) | −14.3576 | + | 6.22773i | −0.644025 | + | 0.279352i | ||||
\(498\) | 43.8397 | + | 11.1803i | 1.96450 | + | 0.501001i | ||||
\(499\) | −10.0398 | + | 12.5895i | −0.449444 | + | 0.563585i | −0.954005 | − | 0.299791i | \(-0.903083\pi\) |
0.504561 | + | 0.863376i | \(0.331654\pi\) | |||||||
\(500\) | 0.859515 | − | 0.586008i | 0.0384387 | − | 0.0262071i | ||||
\(501\) | 8.12662 | − | 4.42161i | 0.363071 | − | 0.197543i | ||||
\(502\) | 0.861617 | − | 0.799464i | 0.0384558 | − | 0.0356818i | ||||
\(503\) | 13.4307 | + | 16.8416i | 0.598846 | + | 0.750929i | 0.985198 | − | 0.171422i | \(-0.0548362\pi\) |
−0.386351 | + | 0.922352i | \(0.626265\pi\) | |||||||
\(504\) | −7.17279 | − | 10.8754i | −0.319501 | − | 0.484427i | ||||
\(505\) | 0.359427 | − | 0.450707i | 0.0159943 | − | 0.0200562i | ||||
\(506\) | 0.747216 | + | 9.97090i | 0.0332178 | + | 0.443261i | ||||
\(507\) | 10.3229 | + | 15.9960i | 0.458456 | + | 0.710408i | ||||
\(508\) | 12.1980 | − | 21.1276i | 0.541200 | − | 0.937385i | ||||
\(509\) | −22.1323 | −0.980996 | −0.490498 | − | 0.871442i | \(-0.663185\pi\) | ||||
−0.490498 | + | 0.871442i | \(0.663185\pi\) | |||||||
\(510\) | 0.0304242 | + | 0.0471443i | 0.00134721 | + | 0.00208758i | ||||
\(511\) | −12.6897 | − | 24.1344i | −0.561357 | − | 1.06764i | ||||
\(512\) | −4.61809 | + | 20.2332i | −0.204093 | + | 0.894189i | ||||
\(513\) | 0.778925 | − | 0.239316i | 0.0343904 | − | 0.0105660i | ||||
\(514\) | 33.7859 | + | 5.09241i | 1.49023 | + | 0.224617i | ||||
\(515\) | 0.0307194 | − | 0.0385209i | 0.00135366 | − | 0.00169743i | ||||
\(516\) | 21.8994 | + | 9.24098i | 0.964069 | + | 0.406811i | ||||
\(517\) | −3.96029 | + | 1.22159i | −0.174173 | + | 0.0537254i | ||||
\(518\) | 40.8698 | + | 1.61653i | 1.79572 | + | 0.0710261i | ||||
\(519\) | −18.7943 | + | 0.930983i | −0.824980 | + | 0.0408656i | ||||
\(520\) | 0.0439579 | + | 0.0761374i | 0.00192768 | + | 0.00333884i | ||||
\(521\) | 21.4587 | + | 37.1675i | 0.940121 | + | 1.62834i | 0.765237 | + | 0.643749i | \(0.222622\pi\) |
0.174884 | + | 0.984589i | \(0.444045\pi\) | |||||||
\(522\) | −44.4853 | + | 18.7132i | −1.94707 | + | 0.819054i | ||||
\(523\) | −7.01299 | + | 4.78138i | −0.306657 | + | 0.209075i | −0.706864 | − | 0.707350i | \(-0.749891\pi\) |
0.400207 | + | 0.916425i | \(0.368938\pi\) | |||||||
\(524\) | 8.60877 | + | 21.9348i | 0.376076 | + | 0.958226i | ||||
\(525\) | −21.9548 | − | 6.53337i | −0.958188 | − | 0.285139i | ||||
\(526\) | 4.33157 | − | 11.0367i | 0.188865 | − | 0.481221i | ||||
\(527\) | −0.619596 | − | 2.71463i | −0.0269900 | − | 0.118251i | ||||
\(528\) | −9.11613 | + | 4.95999i | −0.396729 | + | 0.215856i | ||||
\(529\) | 18.7612 | + | 9.03491i | 0.815703 | + | 0.392822i | ||||
\(530\) | 0.224999 | + | 0.573288i | 0.00977333 | + | 0.0249021i | ||||
\(531\) | 39.8047 | − | 3.95318i | 1.72738 | − | 0.171553i | ||||
\(532\) | −0.917550 | − | 0.680210i | −0.0397808 | − | 0.0294908i | ||||
\(533\) | 3.64066 | − | 2.48216i | 0.157694 | − | 0.107514i | ||||
\(534\) | −53.1548 | − | 13.5559i | −2.30023 | − | 0.586622i | ||||
\(535\) | 0.213165 | + | 0.197788i | 0.00921593 | + | 0.00855113i | ||||
\(536\) | 0.725127 | − | 9.67615i | 0.0313207 | − | 0.417946i | ||||
\(537\) | 22.6922 | − | 12.3466i | 0.979242 | − | 0.532795i | ||||
\(538\) | −8.14956 | + | 14.1155i | −0.351353 | + | 0.608560i | ||||
\(539\) | 20.2903 | − | 7.86365i | 0.873965 | − | 0.338711i | ||||
\(540\) | −0.269788 | − | 0.468492i | −0.0116098 | − | 0.0201607i | ||||
\(541\) | −39.7565 | + | 5.99233i | −1.70927 | + | 0.257631i | −0.929602 | − | 0.368566i | \(-0.879849\pi\) |
−0.779665 | + | 0.626197i | \(0.784611\pi\) | |||||||
\(542\) | 40.9576 | − | 19.7241i | 1.75928 | − | 0.847223i | ||||
\(543\) | 2.41632 | − | 1.82888i | 0.103694 | − | 0.0784846i | ||||
\(544\) | 2.65127 | − | 1.27678i | 0.113672 | − | 0.0547417i | ||||
\(545\) | −0.00350318 | − | 0.0467467i | −0.000150060 | − | 0.00200241i | ||||
\(546\) | 5.04129 | − | 13.2311i | 0.215747 | − | 0.566238i | ||||
\(547\) | 2.65330 | − | 35.4058i | 0.113447 | − | 1.51384i | −0.592496 | − | 0.805573i | \(-0.701858\pi\) |
0.705943 | − | 0.708268i | \(-0.250523\pi\) | |||||||
\(548\) | 9.49817 | + | 24.2009i | 0.405742 | + | 1.03381i | ||||
\(549\) | 15.0414 | − | 3.81812i | 0.641953 | − | 0.162953i | ||||
\(550\) | 12.3765 | − | 31.5349i | 0.527738 | − | 1.34465i | ||||
\(551\) | −0.848267 | + | 0.787077i | −0.0361374 | + | 0.0335306i | ||||
\(552\) | −0.106124 | + | 4.19292i | −0.00451695 | + | 0.178462i | ||||
\(553\) | 15.7049 | − | 35.7876i | 0.667840 | − | 1.52184i | ||||
\(554\) | 42.0892 | + | 6.34393i | 1.78820 | + | 0.269528i | ||||
\(555\) | 0.461871 | + | 0.0463905i | 0.0196053 | + | 0.00196917i | ||||
\(556\) | −2.22143 | − | 9.73271i | −0.0942095 | − | 0.412759i | ||||
\(557\) | −2.79335 | − | 4.83822i | −0.118358 | − | 0.205002i | 0.800759 | − | 0.598986i | \(-0.204430\pi\) |
−0.919117 | + | 0.393985i | \(0.871096\pi\) | |||||||
\(558\) | 8.00946 | + | 45.6222i | 0.339067 | + | 1.93134i | ||||
\(559\) | 1.57212 | + | 6.88790i | 0.0664935 | + | 0.291327i | ||||
\(560\) | 0.0774486 | − | 0.176486i | 0.00327280 | − | 0.00745790i | ||||
\(561\) | 1.95040 | + | 0.823015i | 0.0823458 | + | 0.0347477i | ||||
\(562\) | −13.6590 | + | 59.8438i | −0.576168 | + | 2.52436i | ||||
\(563\) | −3.87556 | − | 9.87476i | −0.163335 | − | 0.416171i | 0.825651 | − | 0.564182i | \(-0.190808\pi\) |
−0.988986 | + | 0.148010i | \(0.952713\pi\) | |||||||
\(564\) | −6.23115 | + | 1.25724i | −0.262379 | + | 0.0529395i | ||||
\(565\) | 0.433062 | − | 0.133582i | 0.0182191 | − | 0.00561983i | ||||
\(566\) | 14.4322 | − | 63.2315i | 0.606629 | − | 2.65782i | ||||
\(567\) | −8.50297 | + | 22.2418i | −0.357091 | + | 0.934070i | ||||
\(568\) | −2.16041 | − | 9.46539i | −0.0906489 | − | 0.397159i | ||||
\(569\) | 0.595385 | + | 1.03124i | 0.0249598 | + | 0.0432317i | 0.878236 | − | 0.478228i | \(-0.158721\pi\) |
−0.853276 | + | 0.521460i | \(0.825388\pi\) | |||||||
\(570\) | −0.0171389 | − | 0.0143921i | −0.000717868 | − | 0.000602818i | ||||
\(571\) | 4.45875 | + | 1.37534i | 0.186593 | + | 0.0575563i | 0.386643 | − | 0.922229i | \(-0.373634\pi\) |
−0.200050 | + | 0.979786i | \(0.564111\pi\) | |||||||
\(572\) | 10.9274 | + | 5.26236i | 0.456897 | + | 0.220030i | ||||
\(573\) | −8.36795 | − | 9.48915i | −0.349576 | − | 0.396415i | ||||
\(574\) | 16.9142 | + | 5.95904i | 0.705984 | + | 0.248726i | ||||
\(575\) | 4.59802 | + | 5.76573i | 0.191751 | + | 0.240448i | ||||
\(576\) | −34.4628 | + | 14.4971i | −1.43595 | + | 0.604046i | ||||
\(577\) | −4.30685 | + | 10.9737i | −0.179296 | + | 0.456840i | −0.992062 | − | 0.125751i | \(-0.959866\pi\) |
0.812765 | + | 0.582591i | \(0.197961\pi\) | |||||||
\(578\) | 33.0879 | + | 15.9343i | 1.37628 | + | 0.662780i | ||||
\(579\) | 2.84175 | − | 8.44762i | 0.118099 | − | 0.351071i | ||||
\(580\) | 0.634326 | + | 0.432476i | 0.0263390 | + | 0.0179576i | ||||
\(581\) | −16.9227 | + | 26.8052i | −0.702070 | + | 1.11207i | ||||
\(582\) | 10.6547 | + | 23.6367i | 0.441653 | + | 0.979775i | ||||
\(583\) | 19.1983 | + | 13.0892i | 0.795112 | + | 0.542098i | ||||
\(584\) | 16.1642 | − | 4.98599i | 0.668879 | − | 0.206322i | ||||
\(585\) | 0.0661987 | − | 0.146421i | 0.00273698 | − | 0.00605376i | ||||
\(586\) | −43.1374 | + | 6.50192i | −1.78199 | + | 0.268592i | ||||
\(587\) | −4.16086 | + | 7.20683i | −0.171737 | + | 0.297458i | −0.939027 | − | 0.343843i | \(-0.888271\pi\) |
0.767290 | + | 0.641300i | \(0.221605\pi\) | |||||||
\(588\) | 32.1709 | − | 8.89071i | 1.32670 | − | 0.366647i | ||||
\(589\) | 0.555315 | + | 0.961834i | 0.0228814 | + | 0.0396317i | ||||
\(590\) | −0.684977 | − | 0.858934i | −0.0282001 | − | 0.0353618i | ||||
\(591\) | −26.6452 | − | 6.79525i | −1.09604 | − | 0.279519i | ||||
\(592\) | 3.04136 | − | 13.3250i | 0.124999 | − | 0.547656i | ||||
\(593\) | −2.34885 | + | 31.3432i | −0.0964557 | + | 1.28711i | 0.713514 | + | 0.700641i | \(0.247102\pi\) |
−0.809970 | + | 0.586472i | \(0.800517\pi\) | |||||||
\(594\) | −31.7112 | − | 15.3149i | −1.30113 | − | 0.628378i | ||||
\(595\) | −0.0379956 | + | 0.0100941i | −0.00155767 | + | 0.000413818i | ||||
\(596\) | 0.0553666 | − | 0.738816i | 0.00226791 | − | 0.0302631i | ||||
\(597\) | −3.91185 | − | 4.43599i | −0.160101 | − | 0.181553i | ||||
\(598\) | −3.76637 | + | 2.56787i | −0.154018 | + | 0.105008i | ||||
\(599\) | −7.91096 | + | 1.19239i | −0.323233 | + | 0.0487195i | −0.308655 | − | 0.951174i | \(-0.599879\pi\) |
−0.0145784 | + | 0.999894i | \(0.504641\pi\) | |||||||
\(600\) | 6.48763 | − | 12.6430i | 0.264856 | − | 0.516149i | ||||
\(601\) | 27.0951 | − | 4.08392i | 1.10523 | − | 0.166587i | 0.429020 | − | 0.903295i | \(-0.358859\pi\) |
0.676211 | + | 0.736708i | \(0.263621\pi\) | |||||||
\(602\) | −18.8023 | + | 21.7546i | −0.766323 | + | 0.886652i | ||||
\(603\) | −15.1403 | + | 9.23661i | −0.616562 | + | 0.376144i | ||||
\(604\) | 16.0532 | − | 10.9449i | 0.653195 | − | 0.445341i | ||||
\(605\) | −0.0112363 | − | 0.0492294i | −0.000456820 | − | 0.00200146i | ||||
\(606\) | 10.0226 | − | 56.7177i | 0.407140 | − | 2.30400i | ||||
\(607\) | 35.7248 | 1.45002 | 0.725012 | − | 0.688736i | \(-0.241834\pi\) | ||||
0.725012 | + | 0.688736i | \(0.241834\pi\) | |||||||
\(608\) | −0.860421 | + | 0.798354i | −0.0348947 | + | 0.0323775i | ||||
\(609\) | −2.86278 | − | 33.6934i | −0.116006 | − | 1.36532i | ||||
\(610\) | −0.312439 | − | 0.289901i | −0.0126503 | − | 0.0117377i | ||||
\(611\) | −1.38505 | − | 1.28514i | −0.0560331 | − | 0.0519911i | ||||
\(612\) | 2.85039 | + | 1.55499i | 0.115220 | + | 0.0628567i | ||||
\(613\) | −5.74369 | − | 0.865722i | −0.231986 | − | 0.0349662i | 0.0320205 | − | 0.999487i | \(-0.489806\pi\) |
−0.264006 | + | 0.964521i | \(0.585044\pi\) | |||||||
\(614\) | 68.4031 | − | 21.0996i | 2.76052 | − | 0.851509i | ||||
\(615\) | 0.187513 | + | 0.0791254i | 0.00756125 | + | 0.00319065i | ||||
\(616\) | 2.48146 | + | 13.2697i | 0.0999810 | + | 0.534652i | ||||
\(617\) | 9.88520 | − | 9.17212i | 0.397963 | − | 0.369256i | −0.455654 | − | 0.890157i | \(-0.650595\pi\) |
0.853617 | + | 0.520901i | \(0.174404\pi\) | |||||||
\(618\) | 0.856608 | − | 4.84753i | 0.0344578 | − | 0.194996i | ||||
\(619\) | −42.8288 | −1.72144 | −0.860718 | − | 0.509082i | \(-0.829985\pi\) | ||||
−0.860718 | + | 0.509082i | \(0.829985\pi\) | |||||||
\(620\) | 0.540149 | − | 0.501185i | 0.0216929 | − | 0.0201281i | ||||
\(621\) | 6.33888 | − | 4.31143i | 0.254371 | − | 0.173012i | ||||
\(622\) | 1.23139 | − | 1.54411i | 0.0493741 | − | 0.0619132i | ||||
\(623\) | 20.5184 | − | 32.5008i | 0.822054 | − | 1.30212i | ||||
\(624\) | −4.03630 | − | 2.46859i | −0.161581 | − | 0.0988229i | ||||
\(625\) | −5.55826 | − | 24.3523i | −0.222330 | − | 0.974092i | ||||
\(626\) | −57.6638 | + | 8.69143i | −2.30471 | + | 0.347379i | ||||
\(627\) | −0.840154 | − | 0.0843855i | −0.0335525 | − | 0.00337003i | ||||
\(628\) | −38.8633 | − | 5.85770i | −1.55081 | − | 0.233748i | ||||
\(629\) | −2.51185 | + | 1.20965i | −0.100154 | + | 0.0482317i | ||||
\(630\) | 0.639753 | − | 0.135728i | 0.0254884 | − | 0.00540753i | ||||
\(631\) | 20.0002 | + | 9.63159i | 0.796196 | + | 0.383428i | 0.787329 | − | 0.616533i | \(-0.211463\pi\) |
0.00886668 | + | 0.999961i | \(0.497178\pi\) | |||||||
\(632\) | 20.0323 | + | 13.6578i | 0.796843 | + | 0.543278i | ||||
\(633\) | 2.87958 | + | 1.21510i | 0.114453 | + | 0.0482960i | ||||
\(634\) | 2.31663 | − | 30.9133i | 0.0920053 | − | 1.22772i | ||||
\(635\) | 0.208827 | + | 0.261861i | 0.00828705 | + | 0.0103916i | ||||
\(636\) | 27.2926 | + | 22.9185i | 1.08222 | + | 0.908778i | ||||
\(637\) | 7.72986 | + | 6.21847i | 0.306268 | + | 0.246385i | ||||
\(638\) | 50.0094 | 1.97989 | ||||||||
\(639\) | −11.7518 | + | 13.2965i | −0.464895 | + | 0.526002i | ||||
\(640\) | 0.380981 | + | 0.259749i | 0.0150596 | + | 0.0102675i | ||||
\(641\) | 1.07299 | − | 4.70108i | 0.0423806 | − | 0.185681i | −0.949307 | − | 0.314350i | \(-0.898213\pi\) |
0.991688 | + | 0.128669i | \(0.0410705\pi\) | |||||||
\(642\) | 28.1523 | + | 7.17959i | 1.11108 | + | 0.283356i | ||||
\(643\) | −0.0315011 | − | 0.420352i | −0.00124228 | − | 0.0165771i | 0.996548 | − | 0.0830161i | \(-0.0264553\pi\) |
−0.997790 | + | 0.0664390i | \(0.978836\pi\) | |||||||
\(644\) | −10.1350 | − | 3.57067i | −0.399375 | − | 0.140704i | ||||
\(645\) | −0.227941 | + | 0.233523i | −0.00897519 | + | 0.00919496i | ||||
\(646\) | 0.132914 | + | 0.0200335i | 0.00522943 | + | 0.000788209i | ||||
\(647\) | 1.95206 | + | 26.0484i | 0.0767433 | + | 1.02407i | 0.894080 | + | 0.447908i | \(0.147831\pi\) |
−0.817336 | + | 0.576161i | \(0.804550\pi\) | |||||||
\(648\) | −12.5934 | − | 7.72142i | −0.494716 | − | 0.303326i | ||||
\(649\) | −39.6082 | − | 12.2175i | −1.55476 | − | 0.479580i | ||||
\(650\) | 15.2718 | − | 2.30185i | 0.599009 | − | 0.0902860i | ||||
\(651\) | −32.1389 | − | 4.51718i | −1.25962 | − | 0.177042i | ||||
\(652\) | −33.1009 | − | 4.98916i | −1.29633 | − | 0.195390i | ||||
\(653\) | 6.28260 | + | 3.02554i | 0.245857 | + | 0.118399i | 0.552755 | − | 0.833344i | \(-0.313577\pi\) |
−0.306898 | + | 0.951743i | \(0.599291\pi\) | |||||||
\(654\) | −2.53962 | − | 3.93531i | −0.0993070 | − | 0.153883i | ||||
\(655\) | −0.323505 | −0.0126404 | ||||||||
\(656\) | 2.99627 | − | 5.18970i | 0.116985 | − | 0.202624i | ||||
\(657\) | −24.6319 | − | 18.6868i | −0.960982 | − | 0.729041i | ||||
\(658\) | 0.877275 | − | 7.63957i | 0.0341998 | − | 0.297821i | ||||
\(659\) | 26.8374 | + | 24.9015i | 1.04544 | + | 0.970023i | 0.999582 | − | 0.0289248i | \(-0.00920833\pi\) |
0.0458549 | + | 0.998948i | \(0.485399\pi\) | |||||||
\(660\) | 0.0694515 | + | 0.555884i | 0.00270339 | + | 0.0216378i | ||||
\(661\) | −4.10720 | − | 10.4650i | −0.159752 | − | 0.407040i | 0.828477 | − | 0.560022i | \(-0.189208\pi\) |
−0.988229 | + | 0.152982i | \(0.951112\pi\) | |||||||
\(662\) | −18.2418 | − | 46.4794i | −0.708989 | − | 1.80647i | ||||
\(663\) | 0.119649 | + | 0.957658i | 0.00464676 | + | 0.0371923i | ||||
\(664\) | −14.4160 | − | 13.3761i | −0.559450 | − | 0.519093i | ||||
\(665\) | 0.0132953 | − | 0.00831447i | 0.000515568 | − | 0.000322421i | ||||
\(666\) | 42.7499 | − | 17.9832i | 1.65652 | − | 0.696833i | ||||
\(667\) | −5.44330 | + | 9.42807i | −0.210765 | + | 0.365056i | ||||
\(668\) | −14.7043 | −0.568925 | ||||||||
\(669\) | −26.8015 | − | 41.5306i | −1.03620 | − | 1.60567i | ||||
\(670\) | 0.438866 | + | 0.211347i | 0.0169549 | + | 0.00816503i | ||||
\(671\) | −15.9011 | − | 2.39670i | −0.613855 | − | 0.0925237i | ||||
\(672\) | −2.90380 | − | 34.1761i | −0.112017 | − | 1.31837i | ||||
\(673\) | −4.06353 | + | 0.612478i | −0.156638 | + | 0.0236093i | −0.226893 | − | 0.973920i | \(-0.572857\pi\) |
0.0702553 | + | 0.997529i | \(0.477619\pi\) | |||||||
\(674\) | −68.5891 | − | 21.1569i | −2.64195 | − | 0.814935i | ||||
\(675\) | −25.6875 | + | 3.84248i | −0.988714 | + | 0.147897i | ||||
\(676\) | −2.26118 | − | 30.1734i | −0.0869686 | − | 1.16051i | ||||
\(677\) | 8.90037 | + | 1.34151i | 0.342069 | + | 0.0515586i | 0.317830 | − | 0.948148i | \(-0.397046\pi\) |
0.0242386 | + | 0.999706i | \(0.492284\pi\) | |||||||
\(678\) | 31.6278 | − | 32.4023i | 1.21466 | − | 1.24440i | ||||
\(679\) | −18.0563 | + | 1.99548i | −0.692939 | + | 0.0765793i | ||||
\(680\) | −0.00182259 | − | 0.0243207i | −6.98930e−5 | − | 0.000932657i | ||||
\(681\) | 32.1187 | + | 8.19115i | 1.23079 | + | 0.313885i | ||||
\(682\) | 10.6806 | − | 46.7946i | 0.408980 | − | 1.79186i | ||||
\(683\) | −5.71329 | − | 3.89525i | −0.218613 | − | 0.149048i | 0.449062 | − | 0.893500i | \(-0.351758\pi\) |
−0.667675 | + | 0.744453i | \(0.732711\pi\) | |||||||
\(684\) | −1.26924 | − | 0.257566i | −0.0485308 | − | 0.00984827i | ||||
\(685\) | −0.356927 | −0.0136375 | ||||||||
\(686\) | −1.76781 | + | 40.3375i | −0.0674954 | + | 1.54009i | ||||
\(687\) | −9.75147 | − | 8.18863i | −0.372042 | − | 0.312416i | ||||
\(688\) | 5.99074 | + | 7.51215i | 0.228395 | + | 0.286398i | ||||
\(689\) | −0.791625 | + | 10.5635i | −0.0301585 | + | 0.402437i | ||||
\(690\) | −0.193988 | − | 0.0818576i | −0.00738499 | − | 0.00311627i | ||||
\(691\) | 25.7343 | + | 17.5454i | 0.978981 | + | 0.667458i | 0.943312 | − | 0.331906i | \(-0.107692\pi\) |
0.0356682 | + | 0.999364i | \(0.488644\pi\) | |||||||
\(692\) | 26.9460 | + | 12.9765i | 1.02433 | + | 0.493293i | ||||
\(693\) | 17.0584 | − | 17.8280i | 0.647995 | − | 0.677231i | ||||
\(694\) | −1.04144 | + | 0.501532i | −0.0395326 | + | 0.0190379i | ||||
\(695\) | 0.135526 | + | 0.0204272i | 0.00514078 | + | 0.000774848i | ||||
\(696\) | 20.8726 | + | 2.09646i | 0.791175 | + | 0.0794660i | ||||
\(697\) | −1.20871 | + | 0.182184i | −0.0457831 | + | 0.00690069i | ||||
\(698\) | −2.25960 | − | 9.89994i | −0.0855270 | − | 0.374718i | ||||
\(699\) | −44.9675 | − | 27.5020i | −1.70083 | − | 1.04022i | ||||
\(700\) | 25.6884 | + | 25.7982i | 0.970932 | + | 0.975082i | ||||
\(701\) | −1.24901 | + | 1.56621i | −0.0471745 | + | 0.0591550i | −0.804859 | − | 0.593466i | \(-0.797759\pi\) |
0.757685 | + | 0.652621i | \(0.226331\pi\) | |||||||
\(702\) | −1.18192 | − | 16.0112i | −0.0446087 | − | 0.604304i | ||||
\(703\) | 0.815175 | − | 0.756372i | 0.0307449 | − | 0.0285271i | ||||
\(704\) | 38.7423 | 1.46016 | ||||||||
\(705\) | 0.0151864 | − | 0.0859398i | 0.000571955 | − | 0.00323668i | ||||
\(706\) | 45.2031 | − | 41.9423i | 1.70124 | − | 1.57852i | ||||
\(707\) | 35.6389 | + | 18.9330i | 1.34034 | + | 0.712051i | ||||
\(708\) | −58.5743 | − | 24.7168i | −2.20136 | − | 0.928914i | ||||
\(709\) | −17.8958 | + | 5.52011i | −0.672090 | + | 0.207312i | −0.611972 | − | 0.790879i | \(-0.709624\pi\) |
−0.0601172 | + | 0.998191i | \(0.519147\pi\) | |||||||
\(710\) | 0.481938 | + | 0.0726405i | 0.0180868 | + | 0.00272615i | ||||
\(711\) | −1.07186 | − | 44.3017i | −0.0401980 | − | 1.66144i | ||||
\(712\) | 17.4792 | + | 16.2183i | 0.655059 | + | 0.607806i | ||||
\(713\) | 7.65947 | + | 7.10695i | 0.286849 | + | 0.266157i | ||||
\(714\) | −2.85257 | + | 2.70018i | −0.106755 | + | 0.101052i | ||||
\(715\) | −0.122062 | + | 0.113257i | −0.00456485 | + | 0.00423556i | ||||
\(716\) | −41.0592 | −1.53445 | ||||||||
\(717\) | 6.84311 | − | 38.7250i | 0.255561 | − | 1.44621i | ||||
\(718\) | −11.8873 | − | 52.0817i | −0.443630 | − | 1.94367i | ||||
\(719\) | −18.6739 | + | 12.7316i | −0.696419 | + | 0.474810i | −0.859060 | − | 0.511875i | \(-0.828951\pi\) |
0.162641 | + | 0.986685i | \(0.447999\pi\) | |||||||
\(720\) | −0.00528588 | − | 0.218474i | −0.000196993 | − | 0.00814204i | ||||
\(721\) | 3.04597 | + | 1.61816i | 0.113438 | + | 0.0602635i | ||||
\(722\) | 40.9064 | − | 6.16565i | 1.52238 | − | 0.229462i | ||||
\(723\) | 4.91977 | − | 9.58759i | 0.182968 | − | 0.356566i | ||||
\(724\) | −4.76265 | + | 0.717854i | −0.177002 | + | 0.0266788i | ||||
\(725\) | 30.4753 | − | 20.7777i | 1.13183 | − | 0.771666i | ||||
\(726\) | −3.33684 | − | 3.78394i | −0.123842 | − | 0.140435i | ||||
\(727\) | −3.87645 | + | 51.7276i | −0.143769 | + | 1.91847i | 0.200666 | + | 0.979660i | \(0.435689\pi\) |
−0.344435 | + | 0.938810i | \(0.611930\pi\) | |||||||
\(728\) | −4.67348 | + | 4.00454i | −0.173211 | + | 0.148418i | ||||
\(729\) | 1.95766 | + | 26.9289i | 0.0725059 | + | 0.997368i | ||||
\(730\) | −0.0634583 | + | 0.846793i | −0.00234870 | + | 0.0313412i | ||||
\(731\) | 0.436124 | − | 1.91079i | 0.0161306 | − | 0.0706730i | ||||
\(732\) | −23.8997 | − | 6.09506i | −0.883357 | − | 0.225280i | ||||
\(733\) | 0.249556 | + | 0.312933i | 0.00921755 | + | 0.0115584i | 0.786419 | − | 0.617694i | \(-0.211933\pi\) |
−0.777201 | + | 0.629252i | \(0.783361\pi\) | |||||||
\(734\) | −20.6528 | − | 35.7717i | −0.762309 | − | 1.32036i | ||||
\(735\) | −0.0477386 | + | 0.455736i | −0.00176086 | + | 0.0168101i | ||||
\(736\) | −5.52129 | + | 9.56315i | −0.203517 | + | 0.352503i | ||||
\(737\) | 18.1727 | − | 2.73909i | 0.669399 | − | 0.100896i | ||||
\(738\) | 20.2348 | − | 2.00960i | 0.744853 | − | 0.0739745i | ||||
\(739\) | 30.2266 | − | 9.32368i | 1.11190 | − | 0.342977i | 0.316218 | − | 0.948686i | \(-0.397587\pi\) |
0.795686 | + | 0.605709i | \(0.207111\pi\) | |||||||
\(740\) | −0.609581 | − | 0.415605i | −0.0224086 | − | 0.0152779i | ||||
\(741\) | −0.158195 | − | 0.350944i | −0.00581144 | − | 0.0128922i | ||||
\(742\) | −36.5536 | + | 22.8595i | −1.34192 | + | 0.839200i | ||||
\(743\) | −25.5695 | − | 17.4330i | −0.938052 | − | 0.639553i | −0.00526713 | − | 0.999986i | \(-0.501677\pi\) |
−0.932785 | + | 0.360433i | \(0.882629\pi\) | |||||||
\(744\) | 6.41948 | − | 19.0831i | 0.235350 | − | 0.699621i | ||||
\(745\) | 0.00916433 | + | 0.00441331i | 0.000335755 | + | 0.000161691i | ||||
\(746\) | −12.3084 | + | 31.3612i | −0.450641 | + | 1.14822i | ||||
\(747\) | −4.49598 | + | 35.6622i | −0.164499 | + | 1.30481i | ||||
\(748\) | −2.09779 | − | 2.63054i | −0.0767027 | − | 0.0961822i | ||||
\(749\) | −10.8671 | + | 17.2133i | −0.397076 | + | 0.628961i | ||||
\(750\) | 0.943778 | + | 1.07023i | 0.0344619 | + | 0.0390793i | ||||
\(751\) | −19.4249 | − | 9.35454i | −0.708825 | − | 0.341352i | 0.0444921 | − | 0.999010i | \(-0.485833\pi\) |
−0.753317 | + | 0.657658i | \(0.771547\pi\) | |||||||
\(752\) | −2.45545 | − | 0.757406i | −0.0895411 | − | 0.0276198i | ||||
\(753\) | 0.715123 | + | 0.600512i | 0.0260605 | + | 0.0218839i | ||||
\(754\) | 11.3996 | + | 19.7447i | 0.415148 | + | 0.719058i | ||||
\(755\) | 0.0593560 | + | 0.260056i | 0.00216019 | + | 0.00946439i | ||||
\(756\) | 28.7660 | − | 24.5930i | 1.04621 | − | 0.894439i | ||||
\(757\) | 4.08936 | − | 17.9166i | 0.148630 | − | 0.651191i | −0.844636 | − | 0.535340i | \(-0.820183\pi\) |
0.993267 | − | 0.115851i | \(-0.0369595\pi\) | |||||||
\(758\) | 70.3712 | − | 21.7066i | 2.55600 | − | 0.788421i | ||||
\(759\) | −7.78696 | + | 1.57116i | −0.282649 | + | 0.0570293i | ||||
\(760\) | 0.00355404 | + | 0.00905555i | 0.000128919 | + | 0.000328479i | ||||
\(761\) | 0.581667 | − | 2.54845i | 0.0210854 | − | 0.0923813i | −0.963290 | − | 0.268462i | \(-0.913485\pi\) |
0.984376 | + | 0.176080i | \(0.0563419\pi\) | |||||||
\(762\) | 30.8310 | + | 13.0099i | 1.11689 | + | 0.471298i | ||||
\(763\) | 3.17163 | − | 0.842592i | 0.114821 | − | 0.0305039i | ||||
\(764\) | 4.47452 | + | 19.6042i | 0.161883 | + | 0.709254i | ||||
\(765\) | −0.0341696 | + | 0.0286284i | −0.00123540 | + | 0.00103506i | ||||
\(766\) | 16.1361 | + | 27.9485i | 0.583021 | + | 1.00982i | ||||
\(767\) | −4.20494 | − | 18.4230i | −0.151831 | − | 0.665217i | ||||
\(768\) | 2.88319 | + | 0.289589i | 0.104038 | + | 0.0104496i | ||||
\(769\) | −48.3794 | − | 7.29202i | −1.74461 | − | 0.262957i | −0.802111 | − | 0.597175i | \(-0.796290\pi\) |
−0.942496 | + | 0.334218i | \(0.891528\pi\) | |||||||
\(770\) | −0.665601 | − | 0.127409i | −0.0239866 | − | 0.00459151i | ||||
\(771\) | −0.686841 | + | 27.1367i | −0.0247360 | + | 0.977305i | ||||
\(772\) | −10.3842 | + | 9.63515i | −0.373736 | + | 0.346777i | ||||
\(773\) | 4.72220 | − | 12.0320i | 0.169846 | − | 0.432760i | −0.820453 | − | 0.571714i | \(-0.806279\pi\) |
0.990299 | + | 0.138954i | \(0.0443740\pi\) | |||||||
\(774\) | −8.85379 | + | 31.3787i | −0.318243 | + | 1.12789i | ||||
\(775\) | −12.9334 | − | 32.9538i | −0.464582 | − | 1.18374i | ||||
\(776\) | 0.842193 | − | 11.2383i | 0.0302330 | − | 0.403431i | ||||
\(777\) | 2.75110 | + | 32.3790i | 0.0986953 | + | 1.16159i | ||||
\(778\) | 4.01631 | + | 53.5939i | 0.143992 | + | 1.92144i | ||||
\(779\) | 0.439280 | − | 0.211546i | 0.0157388 | − | 0.00757942i | ||||
\(780\) | −0.203642 | + | 0.154134i | −0.00729155 | + | 0.00551887i | ||||
\(781\) | 16.5674 | − | 7.97843i | 0.592827 | − | 0.285491i | ||||
\(782\) | 1.25045 | − | 0.188474i | 0.0447158 | − | 0.00673983i | ||||
\(783\) | −19.1341 | − | 33.2268i | −0.683798 | − | 1.18743i | ||||
\(784\) | 13.1409 | + | 3.05834i | 0.469317 | + | 0.109227i | ||||
\(785\) | 0.269790 | − | 0.467290i | 0.00962921 | − | 0.0166783i | ||||
\(786\) | −28.3914 | + | 15.4475i | −1.01269 | + | 0.550993i | ||||
\(787\) | −3.23686 | + | 43.1928i | −0.115381 | + | 1.53966i | 0.576169 | + | 0.817330i | \(0.304547\pi\) |
−0.691551 | + | 0.722328i | \(0.743072\pi\) | |||||||
\(788\) | 32.0377 | + | 29.7267i | 1.14130 | + | 1.05897i | ||||
\(789\) | 9.12739 | + | 2.32773i | 0.324944 | + | 0.0828695i | ||||
\(790\) | −1.00562 | + | 0.685621i | −0.0357784 | + | 0.0243933i | ||||
\(791\) | 14.7646 | + | 28.0807i | 0.524968 | + | 0.998435i | ||||
\(792\) | 8.92627 | + | 12.4352i | 0.317181 | + | 0.441865i | ||||
\(793\) | −2.67837 | − | 6.82437i | −0.0951116 | − | 0.242340i | ||||
\(794\) | −25.2736 | − | 12.1711i | −0.896926 | − | 0.431937i | ||||
\(795\) | −0.429791 | + | 0.233844i | −0.0152431 | + | 0.00829360i | ||||
\(796\) | 2.09175 | + | 9.16456i | 0.0741401 | + | 0.324829i | ||||
\(797\) | −16.4516 | + | 41.9180i | −0.582746 | + | 1.48481i | 0.270194 | + | 0.962806i | \(0.412912\pi\) |
−0.852941 | + | 0.522008i | \(0.825183\pi\) | |||||||
\(798\) | 0.769799 | − | 1.36455i | 0.0272506 | − | 0.0483045i | ||||
\(799\) | 0.191494 | + | 0.487918i | 0.00677456 | + | 0.0172613i | ||||
\(800\) | 30.9120 | − | 21.0754i | 1.09290 | − | 0.745129i | ||||
\(801\) | 5.45130 | − | 43.2398i | 0.192612 | − | 1.52780i | ||||
\(802\) | −14.6083 | − | 25.3024i | −0.515838 | − | 0.893457i | ||||
\(803\) | 16.0191 | + | 27.7459i | 0.565302 | + | 0.979131i | ||||
\(804\) | 28.1536 | − | 1.39460i | 0.992901 | − | 0.0491837i | ||||
\(805\) | 0.0964676 | − | 0.111615i | 0.00340004 | − | 0.00393391i | ||||
\(806\) | 20.9100 | − | 6.44989i | 0.736524 | − | 0.227188i | ||||
\(807\) | −11.9306 | − | 5.03440i | −0.419978 | − | 0.177219i | ||||
\(808\) | −15.6094 | + | 19.5735i | −0.549136 | + | 0.688595i | ||||
\(809\) | −18.9777 | − | 2.86043i | −0.667220 | − | 0.100567i | −0.193306 | − | 0.981138i | \(-0.561921\pi\) |
−0.473914 | + | 0.880571i | \(0.657159\pi\) | |||||||
\(810\) | 0.591785 | − | 0.446876i | 0.0207932 | − | 0.0157016i | ||||
\(811\) | 5.48720 | − | 24.0410i | 0.192682 | − | 0.844194i | −0.782476 | − | 0.622681i | \(-0.786043\pi\) |
0.975157 | − | 0.221513i | \(-0.0710995\pi\) | |||||||
\(812\) | −21.5969 | + | 49.2140i | −0.757902 | + | 1.72707i | ||||
\(813\) | 19.5836 | + | 30.3462i | 0.686828 | + | 1.06429i | ||||
\(814\) | −48.0585 | −1.68445 | ||||||||
\(815\) | 0.229787 | − | 0.398003i | 0.00804909 | − | 0.0139414i | ||||
\(816\) | 0.711701 | + | 1.10283i | 0.0249145 | + | 0.0386067i | ||||
\(817\) | 0.0584207 | + | 0.779570i | 0.00204388 | + | 0.0272737i | ||||
\(818\) | 46.9636 | − | 58.8905i | 1.64204 | − | 2.05906i | ||||
\(819\) | 10.9273 | + | 2.67110i | 0.381830 | + | 0.0933358i | ||||
\(820\) | −0.201683 | − | 0.252903i | −0.00704309 | − | 0.00883175i | ||||
\(821\) | −16.3310 | + | 15.1529i | −0.569955 | + | 0.528841i | −0.911649 | − | 0.410970i | \(-0.865190\pi\) |
0.341694 | + | 0.939811i | \(0.389000\pi\) | |||||||
\(822\) | −31.3246 | + | 17.0434i | −1.09257 | + | 0.594457i | ||||
\(823\) | −26.3113 | + | 17.9388i | −0.917155 | + | 0.625306i | −0.927169 | − | 0.374644i | \(-0.877765\pi\) |
0.0100136 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(824\) | −1.33410 | + | 1.67290i | −0.0464754 | + | 0.0582784i | ||||
\(825\) | 26.0796 | + | 6.65100i | 0.907975 | + | 0.231558i | ||||
\(826\) | 50.2903 | − | 58.1870i | 1.74982 | − | 2.02458i | ||||
\(827\) | −11.7339 | − | 5.65077i | −0.408029 | − | 0.196496i | 0.218599 | − | 0.975815i | \(-0.429851\pi\) |
−0.626628 | + | 0.779318i | \(0.715566\pi\) | |||||||
\(828\) | −12.1247 | + | 1.20416i | −0.421363 | + | 0.0418473i | ||||
\(829\) | −4.53002 | + | 1.39733i | −0.157334 | + | 0.0485311i | −0.372422 | − | 0.928064i | \(-0.621472\pi\) |
0.215088 | + | 0.976595i | \(0.430996\pi\) | |||||||
\(830\) | 0.889453 | − | 0.428338i | 0.0308734 | − | 0.0148678i | ||||
\(831\) | −0.855640 | + | 33.8059i | −0.0296818 | + | 1.17271i | ||||
\(832\) | 8.83126 | + | 15.2962i | 0.306169 | + | 0.530300i | ||||
\(833\) | −1.18351 | − | 2.48464i | −0.0410063 | − | 0.0860878i | ||||
\(834\) | 12.8694 | − | 4.67866i | 0.445631 | − | 0.162009i | ||||
\(835\) | 0.0737531 | − | 0.187920i | 0.00255233 | − | 0.00650323i | ||||
\(836\) | 1.10884 | + | 0.755995i | 0.0383501 | + | 0.0261466i | ||||
\(837\) | −35.1774 | + | 10.8078i | −1.21591 | + | 0.373574i | ||||
\(838\) | 0.890150 | − | 11.8782i | 0.0307497 | − | 0.410326i | ||||
\(839\) | −28.6005 | + | 19.4995i | −0.987400 | + | 0.673198i | −0.945397 | − | 0.325920i | \(-0.894326\pi\) |
−0.0420023 | + | 0.999118i | \(0.513374\pi\) | |||||||
\(840\) | −0.272463 | − | 0.0810801i | −0.00940087 | − | 0.00279753i | ||||
\(841\) | 21.0274 | + | 14.3362i | 0.725082 | + | 0.494352i | ||||
\(842\) | −43.1325 | + | 54.0864i | −1.48644 | + | 1.86394i | ||||
\(843\) | −48.5232 | − | 4.87370i | −1.67123 | − | 0.167859i | ||||
\(844\) | −3.09719 | − | 3.88375i | −0.106610 | − | 0.133684i | ||||
\(845\) | 0.396956 | + | 0.122445i | 0.0136557 | + | 0.00421222i | ||||
\(846\) | −2.77086 | − | 8.26741i | −0.0952642 | − | 0.284239i | ||||
\(847\) | 3.24296 | − | 1.40667i | 0.111430 | − | 0.0483336i | ||||
\(848\) | 5.26332 | + | 13.4107i | 0.180743 | + | 0.460526i | ||||
\(849\) | 51.2700 | + | 5.14959i | 1.75958 | + | 0.176733i | ||||
\(850\) | −4.09409 | − | 1.26286i | −0.140426 | − | 0.0433157i | ||||
\(851\) | 5.23095 | − | 9.06028i | 0.179315 | − | 0.310582i | ||||
\(852\) | 26.5068 | − | 9.63655i | 0.908110 | − | 0.330143i | ||||
\(853\) | −40.5699 | − | 12.5142i | −1.38909 | − | 0.428477i | −0.492103 | − | 0.870537i | \(-0.663772\pi\) |
−0.896985 | + | 0.442060i | \(0.854248\pi\) | |||||||
\(854\) | 15.9281 | − | 25.2298i | 0.545047 | − | 0.863345i | ||||
\(855\) | 0.00965790 | − | 0.0149290i | 0.000330293 | − | 0.000510561i | ||||
\(856\) | −9.25744 | − | 8.58965i | −0.316413 | − | 0.293588i | ||||
\(857\) | −22.2956 | + | 27.9578i | −0.761604 | + | 0.955021i | −0.999869 | − | 0.0161794i | \(-0.994850\pi\) |
0.238266 | + | 0.971200i | \(0.423421\pi\) | |||||||
\(858\) | −5.30433 | + | 15.7681i | −0.181087 | + | 0.538315i | ||||
\(859\) | 1.78728 | − | 7.83059i | 0.0609812 | − | 0.267176i | −0.935242 | − | 0.354010i | \(-0.884818\pi\) |
0.996223 | + | 0.0868339i | \(0.0276750\pi\) | |||||||
\(860\) | 0.495615 | − | 0.152877i | 0.0169003 | − | 0.00521306i | ||||
\(861\) | −3.03184 | + | 13.9212i | −0.103325 | + | 0.474434i | ||||
\(862\) | −57.1121 | − | 17.6167i | −1.94525 | − | 0.600029i | ||||
\(863\) | −13.6964 | + | 23.7228i | −0.466229 | + | 0.807533i | −0.999256 | − | 0.0385656i | \(-0.987721\pi\) |
0.533027 | + | 0.846098i | \(0.321054\pi\) | |||||||
\(864\) | −19.4083 | − | 33.7029i | −0.660283 | − | 1.14659i | ||||
\(865\) | −0.300994 | + | 0.279281i | −0.0102341 | + | 0.00949585i | ||||
\(866\) | −5.43771 | − | 72.5612i | −0.184781 | − | 2.46573i | ||||
\(867\) | −9.30281 | + | 27.6543i | −0.315940 | + | 0.939191i | ||||
\(868\) | 41.4379 | + | 30.7193i | 1.40649 | + | 1.04268i | ||||
\(869\) | −16.7765 | + | 42.7459i | −0.569104 | + | 1.45005i | ||||
\(870\) | −0.480773 | + | 0.936924i | −0.0162997 | + | 0.0317647i | ||||
\(871\) | 5.22388 | + | 6.55053i | 0.177004 | + | 0.221956i | ||||
\(872\) | 0.152138 | + | 2.03014i | 0.00515204 | + | 0.0687492i | ||||
\(873\) | −17.5846 | + | 10.7278i | −0.595148 | + | 0.363080i | ||||
\(874\) | −0.454448 | + | 0.218851i | −0.0153719 | + | 0.00740273i | ||||
\(875\) | −0.917225 | + | 0.397855i | −0.0310079 | + | 0.0134500i | ||||
\(876\) | 20.1941 | + | 44.7992i | 0.682296 | + | 1.51362i | ||||
\(877\) | −15.7044 | + | 7.56283i | −0.530299 | + | 0.255379i | −0.679819 | − | 0.733380i | \(-0.737942\pi\) |
0.149520 | + | 0.988759i | \(0.452227\pi\) | |||||||
\(878\) | −27.6500 | − | 25.6554i | −0.933141 | − | 0.865828i | ||||
\(879\) | −9.37463 | − | 33.3670i | −0.316198 | − | 1.12544i | ||||
\(880\) | −0.0827333 | + | 0.210801i | −0.00278894 | + | 0.00710610i | ||||
\(881\) | −50.1992 | −1.69125 | −0.845627 | − | 0.533774i | \(-0.820773\pi\) | ||||
−0.845627 | + | 0.533774i | \(0.820773\pi\) | |||||||
\(882\) | 17.5719 | + | 42.2758i | 0.591677 | + | 1.42350i | ||||
\(883\) | −18.1502 | −0.610804 | −0.305402 | − | 0.952223i | \(-0.598791\pi\) | ||||
−0.305402 | + | 0.952223i | \(0.598791\pi\) | |||||||
\(884\) | 0.560399 | − | 1.42787i | 0.0188483 | − | 0.0480246i | ||||
\(885\) | 0.609674 | − | 0.624603i | 0.0204940 | − | 0.0209958i | ||||
\(886\) | −20.1255 | − | 18.6737i | −0.676128 | − | 0.627355i | ||||
\(887\) | 44.6972 | − | 21.5250i | 1.50078 | − | 0.722740i | 0.510253 | − | 0.860024i | \(-0.329552\pi\) |
0.990532 | + | 0.137285i | \(0.0438375\pi\) | |||||||
\(888\) | −20.0584 | − | 2.01467i | −0.673115 | − | 0.0676080i | ||||
\(889\) | −15.3319 | + | 17.7393i | −0.514214 | + | 0.594957i | ||||
\(890\) | −1.07845 | + | 0.519353i | −0.0361496 | + | 0.0174087i | ||||
\(891\) | 8.95010 | − | 26.5080i | 0.299840 | − | 0.888052i | ||||
\(892\) | 5.87074 | + | 78.3395i | 0.196567 | + | 2.62300i | ||||
\(893\) | −0.130352 | − | 0.163456i | −0.00436205 | − | 0.00546984i | ||||
\(894\) | 1.01502 | − | 0.0502791i | 0.0339472 | − | 0.00168159i | ||||
\(895\) | 0.205943 | − | 0.524734i | 0.00688392 | − | 0.0175399i | ||||
\(896\) | −12.9713 | + | 29.5583i | −0.433340 | + | 0.987474i | ||||
\(897\) | −2.39535 | − | 2.71629i | −0.0799784 | − | 0.0906944i | ||||
\(898\) | 6.75812 | + | 90.1809i | 0.225522 | + | 3.00938i | ||||
\(899\) | 38.3090 | − | 35.5455i | 1.27768 | − | 1.18551i | ||||
\(900\) | 38.7812 | + | 14.1479i | 1.29271 | + | 0.471595i | ||||
\(901\) | 1.46933 | − | 2.54495i | 0.0489505 | − | 0.0847847i | ||||
\(902\) | −20.1349 | − | 6.21079i | −0.670419 | − | 0.206797i | ||||
\(903\) | −19.0022 | − | 12.6800i | −0.632354 | − | 0.421965i | ||||
\(904\) | −18.8072 | + | 5.80126i | −0.625519 | + | 0.192947i | ||||
\(905\) | 0.0147142 | − | 0.0644670i | 0.000489115 | − | 0.00214295i | ||||
\(906\) | 17.6269 | + | 19.9887i | 0.585616 | + | 0.664081i | ||||
\(907\) | −30.0360 | + | 37.6639i | −0.997328 | + | 1.25061i | −0.0293510 | + | 0.999569i | \(0.509344\pi\) |
−0.967977 | + | 0.251040i | \(0.919227\pi\) | |||||||
\(908\) | −38.6190 | − | 35.8332i | −1.28162 | − | 1.18917i | ||||
\(909\) | 45.7006 | + | 2.31488i | 1.51579 | + | 0.0767798i | ||||
\(910\) | −0.101419 | − | 0.291834i | −0.00336201 | − | 0.00967421i | ||||
\(911\) | 13.0615 | + | 4.02895i | 0.432748 | + | 0.133485i | 0.503473 | − | 0.864011i | \(-0.332055\pi\) |
−0.0707254 | + | 0.997496i | \(0.522531\pi\) | |||||||
\(912\) | −0.400923 | − | 0.336668i | −0.0132759 | − | 0.0111482i | ||||
\(913\) | 18.6234 | − | 32.2566i | 0.616343 | − | 1.06754i | ||||
\(914\) | −22.2608 | − | 6.86655i | −0.736322 | − | 0.227125i | ||||
\(915\) | 0.197769 | − | 0.274865i | 0.00653806 | − | 0.00908675i | ||||
\(916\) | 7.39393 | + | 18.8394i | 0.244302 | + | 0.622472i | ||||
\(917\) | −4.16283 | − | 22.2609i | −0.137469 | − | 0.735118i | ||||
\(918\) | −1.63177 | + | 4.14409i | −0.0538565 | + | 0.136775i | ||||
\(919\) | −25.9479 | − | 8.00388i | −0.855943 | − | 0.264024i | −0.164431 | − | 0.986389i | \(-0.552579\pi\) |
−0.691512 | + | 0.722365i | \(0.743055\pi\) | |||||||
\(920\) | 0.0570621 | + | 0.0715537i | 0.00188128 | + | 0.00235905i | ||||
\(921\) | 23.3712 | + | 51.8474i | 0.770108 | + | 1.70843i | ||||
\(922\) | −24.2593 | + | 30.4202i | −0.798938 | + | 1.00184i | ||||
\(923\) | 6.92654 | + | 4.72243i | 0.227990 | + | 0.155441i | ||||
\(924\) | −37.3575 | + | 11.9321i | −1.22897 | + | 0.392538i | ||||
\(925\) | −29.2865 | + | 19.9672i | −0.962933 | + | 0.656517i | ||||
\(926\) | 6.13041 | − | 81.8046i | 0.201458 | − | 2.68827i | ||||
\(927\) | 3.90592 | + | 0.197847i | 0.128287 | + | 0.00649816i | ||||
\(928\) | 45.6329 | + | 31.1120i | 1.49797 | + | 1.02130i | ||||
\(929\) | −0.490272 | + | 1.24919i | −0.0160853 | + | 0.0409847i | −0.938691 | − | 0.344760i | \(-0.887960\pi\) |
0.922606 | + | 0.385745i | \(0.126055\pi\) | |||||||
\(930\) | 0.774016 | + | 0.649967i | 0.0253810 | + | 0.0213133i | ||||
\(931\) | 0.743213 | + | 0.807877i | 0.0243578 | + | 0.0264771i | ||||
\(932\) | 41.8885 | + | 72.5531i | 1.37211 | + | 2.37656i | ||||
\(933\) | 1.33859 | + | 0.818676i | 0.0438233 | + | 0.0268022i | ||||
\(934\) | 45.6076 | − | 21.9635i | 1.49233 | − | 0.718667i | ||||
\(935\) | 0.0441402 | − | 0.0136154i | 0.00144354 | − | 0.000445273i | ||||
\(936\) | −2.87491 | + | 6.35884i | −0.0939694 | + | 0.207845i | ||||
\(937\) | 15.1922 | + | 7.31619i | 0.496309 | + | 0.239010i | 0.665256 | − | 0.746616i | \(-0.268322\pi\) |
−0.168947 | + | 0.985625i | \(0.554037\pi\) | |||||||
\(938\) | −8.89579 | + | 32.9186i | −0.290458 | + | 1.07483i | ||||
\(939\) | −12.5315 | − | 44.6032i | −0.408950 | − | 1.45557i | ||||
\(940\) | −0.0864821 | + | 0.108445i | −0.00282073 | + | 0.00353709i | ||||
\(941\) | −43.9734 | + | 29.9806i | −1.43349 | + | 0.977338i | −0.436511 | + | 0.899699i | \(0.643786\pi\) |
−0.996982 | + | 0.0776394i | \(0.975262\pi\) | |||||||
\(942\) | 1.36405 | − | 53.8928i | 0.0444431 | − | 1.75592i | ||||
\(943\) | 3.36249 | − | 3.11993i | 0.109498 | − | 0.101599i | ||||
\(944\) | −16.0234 | − | 20.0927i | −0.521518 | − | 0.653962i | ||||
\(945\) | 0.170014 | + | 0.490981i | 0.00553055 | + | 0.0159716i | ||||
\(946\) | 21.0647 | − | 26.4143i | 0.684872 | − | 0.858802i | ||||
\(947\) | −0.291702 | − | 3.89249i | −0.00947903 | − | 0.126489i | 0.990457 | − | 0.137824i | \(-0.0440109\pi\) |
−0.999936 | + | 0.0113352i | \(0.996392\pi\) | |||||||
\(948\) | −32.1554 | + | 62.6639i | −1.04436 | + | 2.03523i | ||||
\(949\) | −7.30306 | + | 12.6493i | −0.237067 | + | 0.410613i | ||||
\(950\) | 1.70893 | 0.0554451 | ||||||||
\(951\) | 24.5987 | − | 1.21850i | 0.797668 | − | 0.0395127i | ||||
\(952\) | 1.65009 | − | 0.438372i | 0.0534798 | − | 0.0142077i | ||||
\(953\) | 7.11699 | − | 31.1816i | 0.230542 | − | 1.01007i | −0.718650 | − | 0.695372i | \(-0.755240\pi\) |
0.949192 | − | 0.314698i | \(-0.101903\pi\) | |||||||
\(954\) | −26.5531 | + | 41.0453i | −0.859689 | + | 1.32889i | ||||
\(955\) | −0.272983 | − | 0.0411456i | −0.00883353 | − | 0.00133144i | ||||
\(956\) | −38.9694 | + | 48.8660i | −1.26036 | + | 1.58044i | ||||
\(957\) | 4.92570 | + | 39.4249i | 0.159225 | + | 1.27443i | ||||
\(958\) | −22.4929 | + | 6.93814i | −0.726713 | + | 0.224161i | ||||
\(959\) | −4.59290 | − | 24.5607i | −0.148313 | − | 0.793106i | ||||
\(960\) | −0.372455 | + | 0.725836i | −0.0120209 | + | 0.0234262i | ||||
\(961\) | −9.57883 | − | 16.5910i | −0.308995 | − | 0.535194i | ||||
\(962\) | −10.9549 | − | 18.9744i | −0.353199 | − | 0.611759i | ||||
\(963\) | −2.88716 | + | 22.9010i | −0.0930374 | + | 0.737974i | ||||
\(964\) | −14.1513 | + | 9.64818i | −0.455782 | + | 0.310747i | ||||
\(965\) | −0.0710519 | − | 0.181037i | −0.00228724 | − | 0.00582780i | ||||
\(966\) | 3.13653 | − | 14.4019i | 0.100916 | − | 0.463374i | ||||
\(967\) | 14.7545 | − | 37.5939i | 0.474474 | − | 1.20894i | −0.470677 | − | 0.882305i | \(-0.655990\pi\) |
0.945151 | − | 0.326634i | \(-0.105914\pi\) | |||||||
\(968\) | 0.487976 | + | 2.13796i | 0.0156841 | + | 0.0687167i | ||||
\(969\) | −0.00270203 | + | 0.106756i | −8.68018e−5 | + | 0.00342949i | ||||
\(970\) | 0.509717 | + | 0.245467i | 0.0163660 | + | 0.00788146i | ||||
\(971\) | −6.06695 | − | 15.4583i | −0.194698 | − | 0.496082i | 0.799870 | − | 0.600173i | \(-0.204902\pi\) |
−0.994568 | + | 0.104092i | \(0.966806\pi\) | |||||||
\(972\) | 17.7222 | − | 39.0826i | 0.568441 | − | 1.25358i | ||||
\(973\) | 0.338304 | + | 9.58858i | 0.0108455 | + | 0.307396i | ||||
\(974\) | 18.7461 | − | 12.7809i | 0.600663 | − | 0.409525i | ||||
\(975\) | 3.31887 | + | 11.8128i | 0.106289 | + | 0.378312i | ||||
\(976\) | −7.30875 | − | 6.78153i | −0.233948 | − | 0.217072i | ||||
\(977\) | −2.25096 | + | 30.0369i | −0.0720145 | + | 0.960967i | 0.837807 | + | 0.545967i | \(0.183838\pi\) |
−0.909821 | + | 0.415000i | \(0.863782\pi\) | |||||||
\(978\) | 1.16180 | − | 45.9020i | 0.0371502 | − | 1.46778i | ||||
\(979\) | −22.5805 | + | 39.1106i | −0.721676 | + | 1.24998i | ||||
\(980\) | 0.412827 | − | 0.599992i | 0.0131873 | − | 0.0191660i | ||||
\(981\) | 2.85226 | − | 2.38972i | 0.0910656 | − | 0.0762979i | ||||
\(982\) | 37.2068 | − | 5.60803i | 1.18732 | − | 0.178959i | ||||
\(983\) | −30.5332 | + | 14.7040i | −0.973858 | + | 0.468985i | −0.851988 | − | 0.523561i | \(-0.824603\pi\) |
−0.121870 | + | 0.992546i | \(0.538889\pi\) | |||||||
\(984\) | −8.14341 | − | 3.43630i | −0.259602 | − | 0.109545i | ||||
\(985\) | −0.540599 | + | 0.260339i | −0.0172249 | + | 0.00829508i | ||||
\(986\) | −0.472650 | − | 6.30708i | −0.0150522 | − | 0.200858i | ||||
\(987\) | 6.10906 | − | 0.0608629i | 0.194454 | − | 0.00193729i | ||||
\(988\) | −0.0457221 | + | 0.610119i | −0.00145461 | + | 0.0194105i | ||||
\(989\) | 2.68698 | + | 6.84631i | 0.0854409 | + | 0.217700i | ||||
\(990\) | −0.744802 | + | 0.189060i | −0.0236714 | + | 0.00600874i | ||||
\(991\) | 9.52598 | − | 24.2718i | 0.302603 | − | 0.771019i | −0.695993 | − | 0.718048i | \(-0.745036\pi\) |
0.998596 | − | 0.0529707i | \(-0.0168690\pi\) | |||||||
\(992\) | 38.8578 | − | 36.0548i | 1.23374 | − | 1.14474i | ||||
\(993\) | 34.8453 | − | 18.9590i | 1.10578 | − | 0.601644i | ||||
\(994\) | 1.20303 | + | 34.0976i | 0.0381578 | + | 1.08151i | ||||
\(995\) | −0.127614 | − | 0.0192348i | −0.00404564 | − | 0.000609783i | ||||
\(996\) | 33.3660 | − | 46.3729i | 1.05724 | − | 1.46938i | ||||
\(997\) | 9.21050 | + | 40.3538i | 0.291699 | + | 1.27802i | 0.882159 | + | 0.470951i | \(0.156089\pi\) |
−0.590460 | + | 0.807067i | \(0.701054\pi\) | |||||||
\(998\) | 17.5527 | + | 30.4022i | 0.555621 | + | 0.962365i | ||||
\(999\) | 18.3877 | + | 31.9306i | 0.581761 | + | 1.01024i |
(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.z.a.142.47 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.47 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.47 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.47 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.47 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.47 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.47 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.47 | yes | 648 | 441.382 | even | 21 | inner |