Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 625.4 | ||
Character | \(\chi\) | \(=\) | 637.625 |
Dual form | 637.2.bl.a.53.4 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.98190 | + | 1.35124i | −1.40141 | + | 0.955468i | −0.402211 | + | 0.915547i | \(0.631758\pi\) |
−0.999203 | + | 0.0399213i | \(0.987289\pi\) | |||||||
\(3\) | 0.272118 | − | 0.252488i | 0.157107 | − | 0.145774i | −0.597703 | − | 0.801718i | \(-0.703920\pi\) |
0.754810 | + | 0.655944i | \(0.227729\pi\) | |||||||
\(4\) | 1.37140 | − | 3.49428i | 0.685702 | − | 1.74714i | ||||
\(5\) | −2.27380 | − | 0.701373i | −1.01687 | − | 0.313664i | −0.258868 | − | 0.965913i | \(-0.583349\pi\) |
−0.758005 | + | 0.652249i | \(0.773826\pi\) | |||||||
\(6\) | −0.198139 | + | 0.868102i | −0.0808897 | + | 0.354401i | ||||
\(7\) | −1.25655 | − | 2.32832i | −0.474931 | − | 0.880023i | ||||
\(8\) | 0.936090 | + | 4.10128i | 0.330958 | + | 1.45002i | ||||
\(9\) | −0.213893 | + | 2.85420i | −0.0712975 | + | 0.951399i | ||||
\(10\) | 5.45416 | − | 1.68238i | 1.72476 | − | 0.532017i | ||||
\(11\) | −0.208316 | − | 2.77978i | −0.0628096 | − | 0.838135i | −0.936279 | − | 0.351257i | \(-0.885754\pi\) |
0.873470 | − | 0.486879i | \(-0.161865\pi\) | |||||||
\(12\) | −0.509082 | − | 1.29712i | −0.146959 | − | 0.374446i | ||||
\(13\) | 0.900969 | + | 0.433884i | 0.249884 | + | 0.120338i | ||||
\(14\) | 5.63647 | + | 2.91660i | 1.50641 | + | 0.779495i | ||||
\(15\) | −0.795829 | + | 0.383251i | −0.205482 | + | 0.0989550i | ||||
\(16\) | −1.89363 | − | 1.75703i | −0.473406 | − | 0.439257i | ||||
\(17\) | 0.248311 | + | 0.0374268i | 0.0602242 | + | 0.00907733i | 0.179085 | − | 0.983834i | \(-0.442686\pi\) |
−0.118861 | + | 0.992911i | \(0.537924\pi\) | |||||||
\(18\) | −3.43278 | − | 5.94575i | −0.809114 | − | 1.40143i | ||||
\(19\) | 1.18625 | − | 2.05465i | 0.272145 | − | 0.471370i | −0.697266 | − | 0.716813i | \(-0.745600\pi\) |
0.969411 | + | 0.245443i | \(0.0789335\pi\) | |||||||
\(20\) | −5.56909 | + | 6.98341i | −1.24529 | + | 1.56154i | ||||
\(21\) | −0.929804 | − | 0.316313i | −0.202900 | − | 0.0690252i | ||||
\(22\) | 4.16900 | + | 5.22776i | 0.888834 | + | 1.11456i | ||||
\(23\) | −1.18695 | + | 0.178904i | −0.247496 | + | 0.0373040i | −0.271619 | − | 0.962405i | \(-0.587559\pi\) |
0.0241225 | + | 0.999709i | \(0.492321\pi\) | |||||||
\(24\) | 1.29025 | + | 0.879679i | 0.263372 | + | 0.179564i | ||||
\(25\) | 0.547031 | + | 0.372960i | 0.109406 | + | 0.0745919i | ||||
\(26\) | −2.37191 | + | 0.357508i | −0.465170 | + | 0.0701130i | ||||
\(27\) | 1.35679 | + | 1.70136i | 0.261114 | + | 0.327427i | ||||
\(28\) | −9.85904 | + | 1.19767i | −1.86318 | + | 0.226338i | ||||
\(29\) | −5.16777 | + | 6.48017i | −0.959630 | + | 1.20334i | 0.0194393 | + | 0.999811i | \(0.493812\pi\) |
−0.979069 | + | 0.203527i | \(0.934760\pi\) | |||||||
\(30\) | 1.05939 | − | 1.83492i | 0.193417 | − | 0.335009i | ||||
\(31\) | 1.55569 | + | 2.69454i | 0.279410 | + | 0.483953i | 0.971238 | − | 0.238109i | \(-0.0765277\pi\) |
−0.691828 | + | 0.722062i | \(0.743194\pi\) | |||||||
\(32\) | −2.19240 | − | 0.330450i | −0.387564 | − | 0.0584159i | ||||
\(33\) | −0.758549 | − | 0.703830i | −0.132046 | − | 0.122521i | ||||
\(34\) | −0.542699 | + | 0.261350i | −0.0930721 | + | 0.0448212i | ||||
\(35\) | 1.22412 | + | 6.17544i | 0.206914 | + | 1.04384i | ||||
\(36\) | 9.68003 | + | 4.66166i | 1.61334 | + | 0.776943i | ||||
\(37\) | 0.822366 | + | 2.09535i | 0.135196 | + | 0.344474i | 0.982399 | − | 0.186796i | \(-0.0598103\pi\) |
−0.847203 | + | 0.531270i | \(0.821715\pi\) | |||||||
\(38\) | 0.425284 | + | 5.67502i | 0.0689902 | + | 0.920610i | ||||
\(39\) | 0.354720 | − | 0.109417i | 0.0568007 | − | 0.0175207i | ||||
\(40\) | 0.748049 | − | 9.98202i | 0.118277 | − | 1.57830i | ||||
\(41\) | 2.43938 | + | 10.6876i | 0.380968 | + | 1.66913i | 0.694455 | + | 0.719536i | \(0.255645\pi\) |
−0.313488 | + | 0.949592i | \(0.601497\pi\) | |||||||
\(42\) | 2.27019 | − | 0.629483i | 0.350298 | − | 0.0971314i | ||||
\(43\) | 0.474634 | − | 2.07951i | 0.0723811 | − | 0.317122i | −0.925757 | − | 0.378119i | \(-0.876571\pi\) |
0.998138 | + | 0.0609972i | \(0.0194281\pi\) | |||||||
\(44\) | −9.99901 | − | 3.08429i | −1.50741 | − | 0.464974i | ||||
\(45\) | 2.48821 | − | 6.33985i | 0.370920 | − | 0.945089i | ||||
\(46\) | 2.11067 | − | 1.95842i | 0.311202 | − | 0.288753i | ||||
\(47\) | −3.75244 | + | 2.55837i | −0.547349 | + | 0.373177i | −0.805195 | − | 0.593010i | \(-0.797940\pi\) |
0.257846 | + | 0.966186i | \(0.416987\pi\) | |||||||
\(48\) | −0.958918 | −0.138408 | ||||||||
\(49\) | −3.84216 | + | 5.85131i | −0.548880 | + | 0.835901i | ||||
\(50\) | −1.58812 | −0.224594 | ||||||||
\(51\) | 0.0770196 | − | 0.0525111i | 0.0107849 | − | 0.00735302i | ||||
\(52\) | 2.75170 | − | 2.55321i | 0.381593 | − | 0.354066i | ||||
\(53\) | −3.22506 | + | 8.21732i | −0.442996 | + | 1.12874i | 0.518782 | + | 0.854907i | \(0.326386\pi\) |
−0.961778 | + | 0.273830i | \(0.911710\pi\) | |||||||
\(54\) | −4.98796 | − | 1.53858i | −0.678775 | − | 0.209374i | ||||
\(55\) | −1.47600 | + | 6.46676i | −0.199023 | + | 0.871978i | ||||
\(56\) | 8.37285 | − | 7.33298i | 1.11887 | − | 0.979911i | ||||
\(57\) | −0.195975 | − | 0.858623i | −0.0259575 | − | 0.113727i | ||||
\(58\) | 1.48575 | − | 19.8259i | 0.195088 | − | 2.60327i | ||||
\(59\) | −3.85458 | + | 1.18898i | −0.501823 | + | 0.154792i | −0.535324 | − | 0.844647i | \(-0.679810\pi\) |
0.0335010 | + | 0.999439i | \(0.489334\pi\) | |||||||
\(60\) | 0.247783 | + | 3.30644i | 0.0319887 | + | 0.426860i | ||||
\(61\) | 1.23489 | + | 3.14645i | 0.158112 | + | 0.402862i | 0.987875 | − | 0.155254i | \(-0.0496197\pi\) |
−0.829763 | + | 0.558116i | \(0.811524\pi\) | |||||||
\(62\) | −6.72418 | − | 3.23819i | −0.853971 | − | 0.411251i | ||||
\(63\) | 6.91426 | − | 3.08843i | 0.871115 | − | 0.389106i | ||||
\(64\) | 9.44640 | − | 4.54915i | 1.18080 | − | 0.568643i | ||||
\(65\) | −1.74431 | − | 1.61848i | −0.216354 | − | 0.200748i | ||||
\(66\) | 2.45441 | + | 0.369942i | 0.302117 | + | 0.0455368i | ||||
\(67\) | −6.14457 | − | 10.6427i | −0.750679 | − | 1.30021i | −0.947494 | − | 0.319773i | \(-0.896393\pi\) |
0.196815 | − | 0.980441i | \(-0.436940\pi\) | |||||||
\(68\) | 0.471314 | − | 0.816339i | 0.0571552 | − | 0.0989957i | ||||
\(69\) | −0.277819 | + | 0.348374i | −0.0334455 | + | 0.0419393i | ||||
\(70\) | −10.7706 | − | 10.5850i | −1.28733 | − | 1.26515i | ||||
\(71\) | 1.14037 | + | 1.42998i | 0.135337 | + | 0.169707i | 0.844882 | − | 0.534953i | \(-0.179671\pi\) |
−0.709545 | + | 0.704660i | \(0.751099\pi\) | |||||||
\(72\) | −11.9061 | + | 1.79455i | −1.40315 | + | 0.211490i | ||||
\(73\) | 4.18537 | + | 2.85354i | 0.489860 | + | 0.333981i | 0.782930 | − | 0.622110i | \(-0.213724\pi\) |
−0.293070 | + | 0.956091i | \(0.594677\pi\) | |||||||
\(74\) | −4.46116 | − | 3.04157i | −0.518600 | − | 0.353575i | ||||
\(75\) | 0.243025 | − | 0.0366301i | 0.0280621 | − | 0.00422968i | ||||
\(76\) | −5.55270 | − | 6.96286i | −0.636938 | − | 0.798695i | ||||
\(77\) | −6.21046 | + | 3.97796i | −0.707748 | + | 0.453331i | ||||
\(78\) | −0.555172 | + | 0.696164i | −0.0628608 | + | 0.0788250i | ||||
\(79\) | −2.13094 | + | 3.69090i | −0.239750 | + | 0.415259i | −0.960642 | − | 0.277788i | \(-0.910399\pi\) |
0.720893 | + | 0.693047i | \(0.243732\pi\) | |||||||
\(80\) | 3.07339 | + | 5.32326i | 0.343615 | + | 0.595159i | ||||
\(81\) | −7.69192 | − | 1.15937i | −0.854658 | − | 0.128819i | ||||
\(82\) | −19.2761 | − | 17.8856i | −2.12869 | − | 1.97514i | ||||
\(83\) | −6.41850 | + | 3.09099i | −0.704522 | + | 0.339280i | −0.751607 | − | 0.659611i | \(-0.770721\pi\) |
0.0470853 | + | 0.998891i | \(0.485007\pi\) | |||||||
\(84\) | −2.38042 | + | 2.81520i | −0.259725 | + | 0.307164i | ||||
\(85\) | −0.538358 | − | 0.259259i | −0.0583931 | − | 0.0281206i | ||||
\(86\) | 1.86923 | + | 4.76272i | 0.201564 | + | 0.513577i | ||||
\(87\) | 0.229928 | + | 3.06817i | 0.0246508 | + | 0.328942i | ||||
\(88\) | 11.2057 | − | 3.45649i | 1.19453 | − | 0.368463i | ||||
\(89\) | 0.367411 | − | 4.90276i | 0.0389455 | − | 0.519692i | −0.943281 | − | 0.331994i | \(-0.892278\pi\) |
0.982227 | − | 0.187698i | \(-0.0601025\pi\) | |||||||
\(90\) | 3.63525 | + | 15.9271i | 0.383189 | + | 1.67886i | ||||
\(91\) | −0.121892 | − | 2.64294i | −0.0127777 | − | 0.277056i | ||||
\(92\) | −1.00265 | + | 4.39288i | −0.104533 | + | 0.457990i | ||||
\(93\) | 1.10367 | + | 0.340437i | 0.114445 | + | 0.0353017i | ||||
\(94\) | 3.97999 | − | 10.1409i | 0.410505 | − | 1.04595i | ||||
\(95\) | −4.13838 | + | 3.83985i | −0.424589 | + | 0.393961i | ||||
\(96\) | −0.680025 | + | 0.463633i | −0.0694047 | + | 0.0473193i | ||||
\(97\) | −16.3428 | −1.65936 | −0.829682 | − | 0.558236i | \(-0.811478\pi\) | ||||
−0.829682 | + | 0.558236i | \(0.811478\pi\) | |||||||
\(98\) | −0.291718 | − | 16.7884i | −0.0294680 | − | 1.69588i | ||||
\(99\) | 7.97860 | 0.801880 | ||||||||
\(100\) | 2.05343 | − | 1.40000i | 0.205343 | − | 0.140000i | ||||
\(101\) | −7.41887 | + | 6.88370i | −0.738205 | + | 0.684954i | −0.956763 | − | 0.290870i | \(-0.906055\pi\) |
0.218558 | + | 0.975824i | \(0.429865\pi\) | |||||||
\(102\) | −0.0816902 | + | 0.208143i | −0.00808853 | + | 0.0206092i | ||||
\(103\) | 16.9846 | + | 5.23904i | 1.67354 | + | 0.516218i | 0.979108 | − | 0.203342i | \(-0.0651804\pi\) |
0.694430 | + | 0.719560i | \(0.255657\pi\) | |||||||
\(104\) | −0.936090 | + | 4.10128i | −0.0917912 | + | 0.402163i | ||||
\(105\) | 1.89233 | + | 1.37137i | 0.184673 | + | 0.133832i | ||||
\(106\) | −4.71180 | − | 20.6437i | −0.457650 | − | 2.00510i | ||||
\(107\) | 0.683379 | − | 9.11906i | 0.0660648 | − | 0.881573i | −0.861463 | − | 0.507820i | \(-0.830452\pi\) |
0.927528 | − | 0.373753i | \(-0.121929\pi\) | |||||||
\(108\) | 7.80573 | − | 2.40775i | 0.751107 | − | 0.231686i | ||||
\(109\) | 0.518678 | + | 6.92128i | 0.0496804 | + | 0.662939i | 0.965342 | + | 0.260988i | \(0.0840485\pi\) |
−0.915662 | + | 0.401950i | \(0.868332\pi\) | |||||||
\(110\) | −5.81285 | − | 14.8109i | −0.554233 | − | 1.41216i | ||||
\(111\) | 0.752833 | + | 0.362545i | 0.0714557 | + | 0.0344113i | ||||
\(112\) | −1.71149 | + | 6.61676i | −0.161721 | + | 0.625225i | ||||
\(113\) | 14.8383 | − | 7.14575i | 1.39587 | − | 0.672215i | 0.423550 | − | 0.905873i | \(-0.360784\pi\) |
0.972319 | + | 0.233657i | \(0.0750694\pi\) | |||||||
\(114\) | 1.54860 | + | 1.43689i | 0.145040 | + | 0.134578i | ||||
\(115\) | 2.82436 | + | 0.425704i | 0.263373 | + | 0.0396971i | ||||
\(116\) | 15.5564 | + | 26.9445i | 1.44438 | + | 2.50174i | ||||
\(117\) | −1.43110 | + | 2.47874i | −0.132305 | + | 0.229160i | ||||
\(118\) | 6.03279 | − | 7.56488i | 0.555363 | − | 0.696403i | ||||
\(119\) | −0.224873 | − | 0.625176i | −0.0206141 | − | 0.0573098i | ||||
\(120\) | −2.31679 | − | 2.90516i | −0.211493 | − | 0.265203i | ||||
\(121\) | 3.19335 | − | 0.481321i | 0.290305 | − | 0.0437564i | ||||
\(122\) | −6.69903 | − | 4.56732i | −0.606501 | − | 0.413506i | ||||
\(123\) | 3.36230 | + | 2.29238i | 0.303169 | + | 0.206697i | ||||
\(124\) | 11.5489 | − | 1.74072i | 1.03713 | − | 0.156322i | ||||
\(125\) | 6.43575 | + | 8.07018i | 0.575631 | + | 0.721819i | ||||
\(126\) | −9.53016 | + | 15.4638i | −0.849014 | + | 1.37762i | ||||
\(127\) | −6.23852 | + | 7.82286i | −0.553579 | + | 0.694166i | −0.977356 | − | 0.211600i | \(-0.932133\pi\) |
0.423777 | + | 0.905766i | \(0.360704\pi\) | |||||||
\(128\) | −10.3577 | + | 17.9400i | −0.915499 | + | 1.58569i | ||||
\(129\) | −0.395895 | − | 0.685711i | −0.0348566 | − | 0.0603735i | ||||
\(130\) | 5.64398 | + | 0.850694i | 0.495010 | + | 0.0746108i | ||||
\(131\) | 6.49227 | + | 6.02395i | 0.567233 | + | 0.526315i | 0.910819 | − | 0.412806i | \(-0.135451\pi\) |
−0.343586 | + | 0.939121i | \(0.611642\pi\) | |||||||
\(132\) | −3.49966 | + | 1.68535i | −0.304606 | + | 0.146690i | ||||
\(133\) | −6.27448 | − | 0.180207i | −0.544066 | − | 0.0156259i | ||||
\(134\) | 26.5587 | + | 12.7900i | 2.29432 | + | 1.10489i | ||||
\(135\) | −1.89177 | − | 4.82016i | −0.162818 | − | 0.414853i | ||||
\(136\) | 0.0789434 | + | 1.05343i | 0.00676934 | + | 0.0903305i | ||||
\(137\) | 11.1347 | − | 3.43459i | 0.951300 | − | 0.293437i | 0.220005 | − | 0.975499i | \(-0.429393\pi\) |
0.731295 | + | 0.682062i | \(0.238916\pi\) | |||||||
\(138\) | 0.0798737 | − | 1.06584i | 0.00679930 | − | 0.0907304i | ||||
\(139\) | 1.04021 | + | 4.55744i | 0.0882292 | + | 0.386557i | 0.999692 | − | 0.0248256i | \(-0.00790305\pi\) |
−0.911463 | + | 0.411383i | \(0.865046\pi\) | |||||||
\(140\) | 23.2575 | + | 4.19161i | 1.96561 | + | 0.354256i | ||||
\(141\) | −0.375147 | + | 1.64362i | −0.0315930 | + | 0.138418i | ||||
\(142\) | −4.19234 | − | 1.29316i | −0.351813 | − | 0.108520i | ||||
\(143\) | 1.01842 | − | 2.59488i | 0.0851642 | − | 0.216995i | ||||
\(144\) | 5.41994 | − | 5.02897i | 0.451662 | − | 0.419081i | ||||
\(145\) | 16.2955 | − | 11.1101i | 1.35326 | − | 0.922640i | ||||
\(146\) | −12.1508 | −1.00561 | ||||||||
\(147\) | 0.431866 | + | 2.56235i | 0.0356197 | + | 0.211339i | ||||
\(148\) | 8.44955 | 0.694548 | ||||||||
\(149\) | 2.48742 | − | 1.69590i | 0.203778 | − | 0.138933i | −0.457132 | − | 0.889399i | \(-0.651123\pi\) |
0.660909 | + | 0.750466i | \(0.270171\pi\) | |||||||
\(150\) | −0.432155 | + | 0.400981i | −0.0352853 | + | 0.0327400i | ||||
\(151\) | −5.95795 | + | 15.1806i | −0.484851 | + | 1.23538i | 0.453984 | + | 0.891010i | \(0.350002\pi\) |
−0.938834 | + | 0.344369i | \(0.888093\pi\) | |||||||
\(152\) | 9.53714 | + | 2.94182i | 0.773564 | + | 0.238613i | ||||
\(153\) | −0.159935 | + | 0.700722i | −0.0129300 | + | 0.0566501i | ||||
\(154\) | 6.93335 | − | 16.2757i | 0.558705 | − | 1.31153i | ||||
\(155\) | −1.64745 | − | 7.21795i | −0.132326 | − | 0.579760i | ||||
\(156\) | 0.104132 | − | 1.38955i | 0.00833724 | − | 0.111253i | ||||
\(157\) | 6.76275 | − | 2.08603i | 0.539726 | − | 0.166483i | −0.0128938 | − | 0.999917i | \(-0.504104\pi\) |
0.552620 | + | 0.833433i | \(0.313628\pi\) | |||||||
\(158\) | −0.763965 | − | 10.1944i | −0.0607778 | − | 0.811024i | ||||
\(159\) | 1.19718 | + | 3.05037i | 0.0949427 | + | 0.241910i | ||||
\(160\) | 4.75329 | + | 2.28906i | 0.375781 | + | 0.180966i | ||||
\(161\) | 1.90801 | + | 2.53880i | 0.150372 | + | 0.200085i | ||||
\(162\) | 16.8112 | − | 8.09584i | 1.32081 | − | 0.636069i | ||||
\(163\) | −10.7006 | − | 9.92869i | −0.838135 | − | 0.777675i | 0.139001 | − | 0.990292i | \(-0.455611\pi\) |
−0.977136 | + | 0.212617i | \(0.931801\pi\) | |||||||
\(164\) | 40.6910 | + | 6.13317i | 3.17743 | + | 0.478920i | ||||
\(165\) | 1.23114 | + | 2.13239i | 0.0958439 | + | 0.166007i | ||||
\(166\) | 8.54417 | − | 14.7989i | 0.663156 | − | 1.14862i | ||||
\(167\) | 3.72260 | − | 4.66799i | 0.288063 | − | 0.361220i | −0.616652 | − | 0.787235i | \(-0.711512\pi\) |
0.904716 | + | 0.426015i | \(0.140083\pi\) | |||||||
\(168\) | 0.426909 | − | 4.10948i | 0.0329367 | − | 0.317053i | ||||
\(169\) | 0.623490 | + | 0.781831i | 0.0479608 | + | 0.0601409i | ||||
\(170\) | 1.41729 | − | 0.213622i | 0.108701 | − | 0.0163841i | ||||
\(171\) | 5.61065 | + | 3.82528i | 0.429057 | + | 0.292526i | ||||
\(172\) | −6.61547 | − | 4.51035i | −0.504425 | − | 0.343911i | ||||
\(173\) | 2.16378 | − | 0.326138i | 0.164509 | − | 0.0247958i | −0.0662710 | − | 0.997802i | \(-0.521110\pi\) |
0.230780 | + | 0.973006i | \(0.425872\pi\) | |||||||
\(174\) | −4.60152 | − | 5.77012i | −0.348840 | − | 0.437432i | ||||
\(175\) | 0.180997 | − | 1.74231i | 0.0136821 | − | 0.131706i | ||||
\(176\) | −4.48968 | + | 5.62988i | −0.338422 | + | 0.424368i | ||||
\(177\) | −0.748695 | + | 1.29678i | −0.0562754 | + | 0.0974718i | ||||
\(178\) | 5.89662 | + | 10.2132i | 0.441970 | + | 0.765515i | ||||
\(179\) | 4.97583 | + | 0.749985i | 0.371911 | + | 0.0560565i | 0.332338 | − | 0.943160i | \(-0.392162\pi\) |
0.0395722 | + | 0.999217i | \(0.487400\pi\) | |||||||
\(180\) | −18.7409 | − | 17.3890i | −1.39686 | − | 1.29610i | ||||
\(181\) | 14.2559 | − | 6.86529i | 1.05963 | − | 0.510293i | 0.178882 | − | 0.983871i | \(-0.442752\pi\) |
0.880752 | + | 0.473578i | \(0.157038\pi\) | |||||||
\(182\) | 3.81282 | + | 5.07334i | 0.282625 | + | 0.376061i | ||||
\(183\) | 1.13048 | + | 0.544410i | 0.0835674 | + | 0.0402439i | ||||
\(184\) | −1.84483 | − | 4.70054i | −0.136002 | − | 0.346528i | ||||
\(185\) | −0.400267 | − | 5.34119i | −0.0294282 | − | 0.392692i | ||||
\(186\) | −2.64737 | + | 0.816607i | −0.194115 | + | 0.0598765i | ||||
\(187\) | 0.0523113 | − | 0.698046i | 0.00382538 | − | 0.0510462i | ||||
\(188\) | 3.79355 | + | 16.6206i | 0.276673 | + | 1.21218i | ||||
\(189\) | 2.25644 | − | 5.29688i | 0.164132 | − | 0.385292i | ||||
\(190\) | 3.01330 | − | 13.2021i | 0.218608 | − | 0.957783i | ||||
\(191\) | −11.6148 | − | 3.58268i | −0.840414 | − | 0.259233i | −0.155480 | − | 0.987839i | \(-0.549693\pi\) |
−0.684934 | + | 0.728606i | \(0.740169\pi\) | |||||||
\(192\) | 1.42193 | − | 3.62301i | 0.102619 | − | 0.261468i | ||||
\(193\) | −12.4841 | + | 11.5835i | −0.898624 | + | 0.833801i | −0.986740 | − | 0.162309i | \(-0.948106\pi\) |
0.0881163 | + | 0.996110i | \(0.471915\pi\) | |||||||
\(194\) | 32.3899 | − | 22.0830i | 2.32546 | − | 1.58547i | ||||
\(195\) | −0.883303 | −0.0632547 | ||||||||
\(196\) | 15.1769 | + | 21.4501i | 1.08407 | + | 1.53215i | ||||
\(197\) | −25.0553 | −1.78512 | −0.892560 | − | 0.450929i | \(-0.851093\pi\) | ||||
−0.892560 | + | 0.450929i | \(0.851093\pi\) | |||||||
\(198\) | −15.8128 | + | 10.7810i | −1.12377 | + | 0.766170i | ||||
\(199\) | −18.7828 | + | 17.4279i | −1.33148 | + | 1.23543i | −0.381025 | + | 0.924565i | \(0.624429\pi\) |
−0.950454 | + | 0.310867i | \(0.899381\pi\) | |||||||
\(200\) | −1.01754 | + | 2.59265i | −0.0719510 | + | 0.183328i | ||||
\(201\) | −4.35921 | − | 1.34464i | −0.307475 | − | 0.0948434i | ||||
\(202\) | 5.40194 | − | 23.6674i | 0.380079 | − | 1.66524i | ||||
\(203\) | 21.5815 | + | 3.88956i | 1.51472 | + | 0.272993i | ||||
\(204\) | −0.0778634 | − | 0.341142i | −0.00545153 | − | 0.0238847i | ||||
\(205\) | 1.94936 | − | 26.0124i | 0.136149 | − | 1.81679i | ||||
\(206\) | −40.7408 | + | 12.5669i | −2.83855 | + | 0.875577i | ||||
\(207\) | −0.256747 | − | 3.42606i | −0.0178452 | − | 0.238127i | ||||
\(208\) | −0.943752 | − | 2.40464i | −0.0654374 | − | 0.166732i | ||||
\(209\) | −5.95860 | − | 2.86951i | −0.412165 | − | 0.198488i | ||||
\(210\) | −5.60345 | − | 0.160934i | −0.386675 | − | 0.0111055i | ||||
\(211\) | 2.62108 | − | 1.26224i | 0.180442 | − | 0.0868965i | −0.341482 | − | 0.939888i | \(-0.610929\pi\) |
0.521924 | + | 0.852992i | \(0.325214\pi\) | |||||||
\(212\) | 24.2908 | + | 22.5385i | 1.66830 | + | 1.54795i | ||||
\(213\) | 0.671368 | + | 0.101192i | 0.0460014 | + | 0.00693359i | ||||
\(214\) | 10.9676 | + | 18.9965i | 0.749731 | + | 1.29857i | ||||
\(215\) | −2.53773 | + | 4.39548i | −0.173072 | + | 0.299769i | ||||
\(216\) | −5.70767 | + | 7.15719i | −0.388358 | + | 0.486985i | ||||
\(217\) | 4.31894 | − | 7.00797i | 0.293189 | − | 0.475732i | ||||
\(218\) | −10.3803 | − | 13.0164i | −0.703040 | − | 0.881584i | ||||
\(219\) | 1.85940 | − | 0.280259i | 0.125646 | − | 0.0189382i | ||||
\(220\) | 20.5725 | + | 14.0261i | 1.38700 | + | 0.945638i | ||||
\(221\) | 0.207481 | + | 0.141458i | 0.0139567 | + | 0.00951552i | ||||
\(222\) | −1.98192 | + | 0.298727i | −0.133018 | + | 0.0200492i | ||||
\(223\) | 16.7316 | + | 20.9808i | 1.12043 | + | 1.40498i | 0.903394 | + | 0.428812i | \(0.141068\pi\) |
0.217037 | + | 0.976163i | \(0.430361\pi\) | |||||||
\(224\) | 1.98546 | + | 5.51983i | 0.132659 | + | 0.368809i | ||||
\(225\) | −1.18151 | + | 1.48156i | −0.0787671 | + | 0.0987708i | ||||
\(226\) | −19.7524 | + | 34.2122i | −1.31391 | + | 2.27576i | ||||
\(227\) | −3.51684 | − | 6.09134i | −0.233421 | − | 0.404297i | 0.725392 | − | 0.688336i | \(-0.241659\pi\) |
−0.958813 | + | 0.284040i | \(0.908325\pi\) | |||||||
\(228\) | −3.26903 | − | 0.492727i | −0.216497 | − | 0.0326316i | ||||
\(229\) | 12.6441 | + | 11.7320i | 0.835547 | + | 0.775275i | 0.976676 | − | 0.214717i | \(-0.0688828\pi\) |
−0.141129 | + | 0.989991i | \(0.545073\pi\) | |||||||
\(230\) | −6.17282 | + | 2.97267i | −0.407024 | + | 0.196012i | ||||
\(231\) | −0.685589 | + | 2.65054i | −0.0451084 | + | 0.174393i | ||||
\(232\) | −31.4145 | − | 15.1284i | −2.06246 | − | 0.993230i | ||||
\(233\) | −4.12011 | − | 10.4979i | −0.269917 | − | 0.687738i | −0.999990 | − | 0.00436874i | \(-0.998609\pi\) |
0.730073 | − | 0.683369i | \(-0.239486\pi\) | |||||||
\(234\) | −0.513064 | − | 6.84637i | −0.0335401 | − | 0.447561i | ||||
\(235\) | 10.3267 | − | 3.18535i | 0.673637 | − | 0.207789i | ||||
\(236\) | −1.13155 | + | 15.0995i | −0.0736579 | + | 0.982896i | ||||
\(237\) | 0.352043 | + | 1.54240i | 0.0228676 | + | 0.100190i | ||||
\(238\) | 1.29044 | + | 0.935178i | 0.0836465 | + | 0.0606186i | ||||
\(239\) | 2.01781 | − | 8.84059i | 0.130521 | − | 0.571850i | −0.866797 | − | 0.498661i | \(-0.833825\pi\) |
0.997318 | − | 0.0731891i | \(-0.0233177\pi\) | |||||||
\(240\) | 2.18038 | + | 0.672560i | 0.140743 | + | 0.0434135i | ||||
\(241\) | −0.151241 | + | 0.385355i | −0.00974227 | + | 0.0248229i | −0.935662 | − | 0.352897i | \(-0.885197\pi\) |
0.925920 | + | 0.377720i | \(0.123292\pi\) | |||||||
\(242\) | −5.67853 | + | 5.26890i | −0.365030 | + | 0.338698i | ||||
\(243\) | −7.77982 | + | 5.30419i | −0.499076 | + | 0.340264i | ||||
\(244\) | 12.6881 | 0.812273 | ||||||||
\(245\) | 12.8402 | − | 10.6099i | 0.820333 | − | 0.677841i | ||||
\(246\) | −9.76129 | −0.622357 | ||||||||
\(247\) | 1.96026 | − | 1.33648i | 0.124728 | − | 0.0850383i | ||||
\(248\) | −9.59478 | + | 8.90265i | −0.609269 | + | 0.565319i | ||||
\(249\) | −0.966149 | + | 2.46171i | −0.0612272 | + | 0.156004i | ||||
\(250\) | −23.6597 | − | 7.29806i | −1.49637 | − | 0.461570i | ||||
\(251\) | −2.31592 | + | 10.1467i | −0.146179 | + | 0.640454i | 0.847746 | + | 0.530402i | \(0.177959\pi\) |
−0.993926 | + | 0.110052i | \(0.964898\pi\) | |||||||
\(252\) | −1.30961 | − | 28.3958i | −0.0824977 | − | 1.78877i | ||||
\(253\) | 0.744574 | + | 3.26219i | 0.0468110 | + | 0.205092i | ||||
\(254\) | 1.79359 | − | 23.9338i | 0.112540 | − | 1.50174i | ||||
\(255\) | −0.211957 | + | 0.0653800i | −0.0132732 | + | 0.00409425i | ||||
\(256\) | −2.14629 | − | 28.6402i | −0.134143 | − | 1.79001i | ||||
\(257\) | 4.18100 | + | 10.6530i | 0.260804 | + | 0.664517i | 0.999959 | − | 0.00901757i | \(-0.00287042\pi\) |
−0.739156 | + | 0.673535i | \(0.764775\pi\) | |||||||
\(258\) | 1.71118 | + | 0.824062i | 0.106534 | + | 0.0513038i | ||||
\(259\) | 3.84531 | − | 4.54765i | 0.238936 | − | 0.282577i | ||||
\(260\) | −8.04756 | + | 3.87550i | −0.499089 | + | 0.240348i | ||||
\(261\) | −17.3904 | − | 16.1359i | −1.07644 | − | 0.998786i | ||||
\(262\) | −21.0068 | − | 3.16627i | −1.29780 | − | 0.195613i | ||||
\(263\) | −12.9939 | − | 22.5061i | −0.801237 | − | 1.38778i | −0.918802 | − | 0.394718i | \(-0.870842\pi\) |
0.117565 | − | 0.993065i | \(-0.462491\pi\) | |||||||
\(264\) | 2.17653 | − | 3.76987i | 0.133956 | − | 0.232019i | ||||
\(265\) | 13.0965 | − | 16.4225i | 0.804514 | − | 1.00883i | ||||
\(266\) | 12.6789 | − | 8.12115i | 0.777392 | − | 0.497940i | ||||
\(267\) | −1.13791 | − | 1.42690i | −0.0696391 | − | 0.0873246i | ||||
\(268\) | −45.6153 | + | 6.87540i | −2.78640 | + | 0.419982i | ||||
\(269\) | −4.49165 | − | 3.06236i | −0.273861 | − | 0.186715i | 0.418600 | − | 0.908171i | \(-0.362521\pi\) |
−0.692461 | + | 0.721456i | \(0.743473\pi\) | |||||||
\(270\) | 10.2625 | + | 6.99684i | 0.624555 | + | 0.425814i | ||||
\(271\) | −3.77742 | + | 0.569355i | −0.229462 | + | 0.0345858i | −0.262767 | − | 0.964859i | \(-0.584635\pi\) |
0.0333046 | + | 0.999445i | \(0.489397\pi\) | |||||||
\(272\) | −0.404447 | − | 0.507161i | −0.0245232 | − | 0.0307512i | ||||
\(273\) | −0.700481 | − | 0.688415i | −0.0423950 | − | 0.0416648i | ||||
\(274\) | −17.4269 | + | 21.8526i | −1.05280 | + | 1.32016i | ||||
\(275\) | 0.922791 | − | 1.59832i | 0.0556464 | − | 0.0963823i | ||||
\(276\) | 0.836314 | + | 1.44854i | 0.0503402 | + | 0.0871917i | ||||
\(277\) | −29.1443 | − | 4.39279i | −1.75111 | − | 0.263937i | −0.806288 | − | 0.591523i | \(-0.798527\pi\) |
−0.944821 | + | 0.327586i | \(0.893765\pi\) | |||||||
\(278\) | −8.21977 | − | 7.62683i | −0.492989 | − | 0.457427i | ||||
\(279\) | −8.02349 | + | 3.86391i | −0.480354 | + | 0.231326i | ||||
\(280\) | −24.1813 | + | 10.8012i | −1.44511 | + | 0.645496i | ||||
\(281\) | −10.8390 | − | 5.21978i | −0.646599 | − | 0.311386i | 0.0816877 | − | 0.996658i | \(-0.473969\pi\) |
−0.728287 | + | 0.685272i | \(0.759683\pi\) | |||||||
\(282\) | −1.47742 | − | 3.76441i | −0.0879792 | − | 0.224167i | ||||
\(283\) | −1.29596 | − | 17.2934i | −0.0770368 | − | 1.02798i | −0.893052 | − | 0.449954i | \(-0.851440\pi\) |
0.816015 | − | 0.578031i | \(-0.196179\pi\) | |||||||
\(284\) | 6.56065 | − | 2.02369i | 0.389303 | − | 0.120084i | ||||
\(285\) | −0.156608 | + | 2.08978i | −0.00927664 | + | 0.123788i | ||||
\(286\) | 1.48790 | + | 6.51891i | 0.0879813 | + | 0.385471i | ||||
\(287\) | 21.8190 | − | 19.1092i | 1.28794 | − | 1.12798i | ||||
\(288\) | 1.41211 | − | 6.18685i | 0.0832093 | − | 0.364564i | ||||
\(289\) | −16.1845 | − | 4.99225i | −0.952028 | − | 0.293662i | ||||
\(290\) | −17.2837 | + | 44.0380i | −1.01493 | + | 2.58600i | ||||
\(291\) | −4.44718 | + | 4.12638i | −0.260698 | + | 0.241893i | ||||
\(292\) | 15.7109 | − | 10.7115i | 0.919409 | − | 0.626843i | ||||
\(293\) | 0.231862 | 0.0135455 | 0.00677277 | − | 0.999977i | \(-0.497844\pi\) | ||||
0.00677277 | + | 0.999977i | \(0.497844\pi\) | |||||||
\(294\) | −4.31825 | − | 4.49476i | −0.251845 | − | 0.262140i | ||||
\(295\) | 9.59844 | 0.558843 | ||||||||
\(296\) | −7.82382 | + | 5.33419i | −0.454750 | + | 0.310044i | ||||
\(297\) | 4.44677 | − | 4.12600i | 0.258028 | − | 0.239415i | ||||
\(298\) | −2.63827 | + | 6.72219i | −0.152831 | + | 0.389406i | ||||
\(299\) | −1.14703 | − | 0.353811i | −0.0663344 | − | 0.0204614i | ||||
\(300\) | 0.205289 | − | 0.899431i | 0.0118524 | − | 0.0519287i | ||||
\(301\) | −5.43817 | + | 1.50791i | −0.313451 | + | 0.0869143i | ||||
\(302\) | −8.70452 | − | 38.1370i | −0.500889 | − | 2.19454i | ||||
\(303\) | −0.280750 | + | 3.74635i | −0.0161287 | + | 0.215222i | ||||
\(304\) | −5.85640 | + | 1.80646i | −0.335888 | + | 0.103608i | ||||
\(305\) | −0.601054 | − | 8.02051i | −0.0344163 | − | 0.459253i | ||||
\(306\) | −0.629866 | − | 1.60487i | −0.0360070 | − | 0.0917444i | ||||
\(307\) | −26.5587 | − | 12.7900i | −1.51578 | − | 0.729963i | −0.523278 | − | 0.852162i | \(-0.675291\pi\) |
−0.992506 | + | 0.122199i | \(0.961005\pi\) | |||||||
\(308\) | 5.38305 | + | 27.1565i | 0.306728 | + | 1.54738i | ||||
\(309\) | 5.94460 | − | 2.86277i | 0.338176 | − | 0.162857i | ||||
\(310\) | 13.0182 | + | 12.0792i | 0.739386 | + | 0.686050i | ||||
\(311\) | 11.5449 | + | 1.74012i | 0.654654 | + | 0.0986732i | 0.467967 | − | 0.883746i | \(-0.344987\pi\) |
0.186687 | + | 0.982419i | \(0.440225\pi\) | |||||||
\(312\) | 0.780798 | + | 1.35238i | 0.0442040 | + | 0.0765636i | ||||
\(313\) | −5.18867 | + | 8.98704i | −0.293281 | + | 0.507977i | −0.974584 | − | 0.224024i | \(-0.928080\pi\) |
0.681303 | + | 0.732002i | \(0.261414\pi\) | |||||||
\(314\) | −10.5844 | + | 13.2724i | −0.597310 | + | 0.749003i | ||||
\(315\) | −17.8878 | + | 2.17299i | −1.00786 | + | 0.122434i | ||||
\(316\) | 9.97466 | + | 12.5078i | 0.561119 | + | 0.703621i | ||||
\(317\) | −13.2574 | + | 1.99824i | −0.744612 | + | 0.112232i | −0.510381 | − | 0.859949i | \(-0.670496\pi\) |
−0.234232 | + | 0.972181i | \(0.575257\pi\) | |||||||
\(318\) | −6.49446 | − | 4.42785i | −0.364191 | − | 0.248302i | ||||
\(319\) | 19.0900 | + | 13.0153i | 1.06883 | + | 0.728719i | ||||
\(320\) | −24.6698 | + | 3.71838i | −1.37909 | + | 0.207864i | ||||
\(321\) | −2.11650 | − | 2.65400i | −0.118131 | − | 0.148132i | ||||
\(322\) | −7.21199 | − | 2.45347i | −0.401909 | − | 0.136727i | ||||
\(323\) | 0.371459 | − | 0.465794i | 0.0206685 | − | 0.0259175i | ||||
\(324\) | −14.5999 | + | 25.2877i | −0.811105 | + | 1.40487i | ||||
\(325\) | 0.331037 | + | 0.573373i | 0.0183626 | + | 0.0318050i | ||||
\(326\) | 34.6235 | + | 5.21865i | 1.91762 | + | 0.289034i | ||||
\(327\) | 1.88869 | + | 1.75244i | 0.104445 | + | 0.0969104i | ||||
\(328\) | −41.5495 | + | 20.0092i | −2.29419 | + | 1.10482i | ||||
\(329\) | 10.6718 | + | 5.52216i | 0.588357 | + | 0.304447i | ||||
\(330\) | −5.32136 | − | 2.56263i | −0.292931 | − | 0.141068i | ||||
\(331\) | 9.82745 | + | 25.0399i | 0.540165 | + | 1.37632i | 0.896950 | + | 0.442132i | \(0.145778\pi\) |
−0.356785 | + | 0.934187i | \(0.616127\pi\) | |||||||
\(332\) | 1.99842 | + | 26.6670i | 0.109677 | + | 1.46354i | ||||
\(333\) | −6.15645 | + | 1.89901i | −0.337372 | + | 0.104065i | ||||
\(334\) | −1.07026 | + | 14.2816i | −0.0585619 | + | 0.781455i | ||||
\(335\) | 6.50699 | + | 28.5090i | 0.355515 | + | 1.55761i | ||||
\(336\) | 1.20493 | + | 2.23267i | 0.0657343 | + | 0.121802i | ||||
\(337\) | 4.23705 | − | 18.5637i | 0.230807 | − | 1.01123i | −0.718165 | − | 0.695873i | \(-0.755018\pi\) |
0.948972 | − | 0.315359i | \(-0.102125\pi\) | |||||||
\(338\) | −2.29213 | − | 0.707029i | −0.124676 | − | 0.0384573i | ||||
\(339\) | 2.23355 | − | 5.69098i | 0.121310 | − | 0.309092i | ||||
\(340\) | −1.64423 | + | 1.52562i | −0.0891709 | + | 0.0827385i | ||||
\(341\) | 7.16615 | − | 4.88580i | 0.388069 | − | 0.264581i | ||||
\(342\) | −16.2886 | −0.880787 | ||||||||
\(343\) | 18.4516 | + | 1.59333i | 0.996292 | + | 0.0860316i | ||||
\(344\) | 8.97295 | 0.483789 | ||||||||
\(345\) | 0.876044 | − | 0.597277i | 0.0471646 | − | 0.0321563i | ||||
\(346\) | −3.84771 | + | 3.57016i | −0.206854 | + | 0.191933i | ||||
\(347\) | 12.2683 | − | 31.2592i | 0.658599 | − | 1.67808i | −0.0738577 | − | 0.997269i | \(-0.523531\pi\) |
0.732457 | − | 0.680814i | \(-0.238374\pi\) | |||||||
\(348\) | 11.0364 | + | 3.40427i | 0.591612 | + | 0.182488i | ||||
\(349\) | 7.70298 | − | 33.7490i | 0.412331 | − | 1.80654i | −0.160696 | − | 0.987004i | \(-0.551374\pi\) |
0.573027 | − | 0.819537i | \(-0.305769\pi\) | |||||||
\(350\) | 1.99555 | + | 3.69765i | 0.106667 | + | 0.197648i | ||||
\(351\) | 0.484232 | + | 2.12156i | 0.0258464 | + | 0.113241i | ||||
\(352\) | −0.461869 | + | 6.16322i | −0.0246177 | + | 0.328501i | ||||
\(353\) | −9.18384 | + | 2.83284i | −0.488807 | + | 0.150777i | −0.529355 | − | 0.848401i | \(-0.677566\pi\) |
0.0405479 | + | 0.999178i | \(0.487090\pi\) | |||||||
\(354\) | −0.268415 | − | 3.58175i | −0.0142661 | − | 0.190368i | ||||
\(355\) | −1.59002 | − | 4.05130i | −0.0843895 | − | 0.215021i | ||||
\(356\) | −16.6278 | − | 8.00751i | −0.881269 | − | 0.424397i | ||||
\(357\) | −0.219042 | − | 0.113344i | −0.0115929 | − | 0.00599878i | ||||
\(358\) | −10.8750 | + | 5.23712i | −0.574761 | + | 0.276790i | ||||
\(359\) | 9.16121 | + | 8.50036i | 0.483510 | + | 0.448632i | 0.883874 | − | 0.467724i | \(-0.154926\pi\) |
−0.400364 | + | 0.916356i | \(0.631116\pi\) | |||||||
\(360\) | 28.3307 | + | 4.27016i | 1.49316 | + | 0.225057i | ||||
\(361\) | 6.68560 | + | 11.5798i | 0.351874 | + | 0.609463i | ||||
\(362\) | −18.9772 | + | 32.8694i | −0.997418 | + | 1.72758i | ||||
\(363\) | 0.747440 | − | 0.937261i | 0.0392304 | − | 0.0491934i | ||||
\(364\) | −9.40234 | − | 3.19862i | −0.492817 | − | 0.167653i | ||||
\(365\) | −7.51528 | − | 9.42386i | −0.393368 | − | 0.493267i | ||||
\(366\) | −2.97612 | + | 0.448578i | −0.155564 | + | 0.0234475i | ||||
\(367\) | −19.7421 | − | 13.4600i | −1.03053 | − | 0.702604i | −0.0749056 | − | 0.997191i | \(-0.523866\pi\) |
−0.955625 | + | 0.294587i | \(0.904818\pi\) | |||||||
\(368\) | 2.56198 | + | 1.74673i | 0.133552 | + | 0.0910544i | ||||
\(369\) | −31.0264 | + | 4.67648i | −1.61517 | + | 0.243448i | ||||
\(370\) | 8.01050 | + | 10.0449i | 0.416446 | + | 0.522207i | ||||
\(371\) | 23.1850 | − | 2.81650i | 1.20371 | − | 0.146225i | ||||
\(372\) | 2.70316 | − | 3.38966i | 0.140152 | − | 0.175745i | ||||
\(373\) | 1.21502 | − | 2.10448i | 0.0629116 | − | 0.108966i | −0.832854 | − | 0.553493i | \(-0.813295\pi\) |
0.895766 | + | 0.444527i | \(0.146628\pi\) | |||||||
\(374\) | 0.839549 | + | 1.45414i | 0.0434120 | + | 0.0751918i | ||||
\(375\) | 3.78891 | + | 0.571086i | 0.195658 | + | 0.0294908i | ||||
\(376\) | −14.0052 | − | 12.9949i | −0.722263 | − | 0.670162i | ||||
\(377\) | −7.46764 | + | 3.59622i | −0.384603 | + | 0.185215i | ||||
\(378\) | 2.68531 | + | 13.5469i | 0.138117 | + | 0.696776i | ||||
\(379\) | 10.6778 | + | 5.14216i | 0.548482 | + | 0.264135i | 0.687536 | − | 0.726150i | \(-0.258692\pi\) |
−0.139055 | + | 0.990285i | \(0.544406\pi\) | |||||||
\(380\) | 7.74213 | + | 19.7266i | 0.397163 | + | 1.01196i | ||||
\(381\) | 0.277568 | + | 3.70389i | 0.0142203 | + | 0.189756i | ||||
\(382\) | 27.8603 | − | 8.59377i | 1.42546 | − | 0.439695i | ||||
\(383\) | −2.71377 | + | 36.2128i | −0.138667 | + | 1.85039i | 0.302733 | + | 0.953076i | \(0.402101\pi\) |
−0.441400 | + | 0.897310i | \(0.645518\pi\) | |||||||
\(384\) | 1.71114 | + | 7.49700i | 0.0873213 | + | 0.382580i | ||||
\(385\) | 16.9114 | − | 4.68922i | 0.861883 | − | 0.238985i | ||||
\(386\) | 9.09010 | − | 39.8263i | 0.462674 | − | 2.02711i | ||||
\(387\) | 5.83381 | + | 1.79949i | 0.296549 | + | 0.0914733i | ||||
\(388\) | −22.4126 | + | 57.1065i | −1.13783 | + | 2.89914i | ||||
\(389\) | −1.87033 | + | 1.73541i | −0.0948294 | + | 0.0879888i | −0.726163 | − | 0.687522i | \(-0.758698\pi\) |
0.631334 | + | 0.775511i | \(0.282508\pi\) | |||||||
\(390\) | 1.75062 | − | 1.19355i | 0.0886460 | − | 0.0604378i | ||||
\(391\) | −0.301428 | −0.0152439 | ||||||||
\(392\) | −27.5944 | − | 10.2804i | −1.39373 | − | 0.519240i | ||||
\(393\) | 3.28764 | 0.165839 | ||||||||
\(394\) | 49.6572 | − | 33.8557i | 2.50169 | − | 1.70562i | ||||
\(395\) | 7.43403 | − | 6.89778i | 0.374047 | − | 0.347065i | ||||
\(396\) | 10.9419 | − | 27.8795i | 0.549850 | − | 1.40100i | ||||
\(397\) | −6.39093 | − | 1.97134i | −0.320752 | − | 0.0989388i | 0.130198 | − | 0.991488i | \(-0.458439\pi\) |
−0.450950 | + | 0.892549i | \(0.648915\pi\) | |||||||
\(398\) | 13.6764 | − | 59.9204i | 0.685538 | − | 3.00354i | ||||
\(399\) | −1.75290 | + | 1.53520i | −0.0877546 | + | 0.0768559i | ||||
\(400\) | −0.380572 | − | 1.66739i | −0.0190286 | − | 0.0833697i | ||||
\(401\) | 0.851623 | − | 11.3641i | 0.0425280 | − | 0.567497i | −0.934718 | − | 0.355389i | \(-0.884348\pi\) |
0.977246 | − | 0.212108i | \(-0.0680327\pi\) | |||||||
\(402\) | 10.4564 | − | 3.22538i | 0.521519 | − | 0.160867i | ||||
\(403\) | 0.232514 | + | 3.10268i | 0.0115823 | + | 0.154556i | ||||
\(404\) | 13.8793 | + | 35.3639i | 0.690522 | + | 1.75942i | ||||
\(405\) | 16.6767 | + | 8.03108i | 0.828672 | + | 0.399068i | ||||
\(406\) | −48.0280 | + | 21.4530i | −2.38359 | + | 1.06469i | ||||
\(407\) | 5.65331 | − | 2.72249i | 0.280224 | − | 0.134949i | ||||
\(408\) | 0.287460 | + | 0.266724i | 0.0142314 | + | 0.0132048i | ||||
\(409\) | −19.1599 | − | 2.88789i | −0.947397 | − | 0.142797i | −0.342871 | − | 0.939383i | \(-0.611399\pi\) |
−0.604526 | + | 0.796586i | \(0.706637\pi\) | |||||||
\(410\) | 31.2855 | + | 54.1880i | 1.54508 | + | 2.67616i | ||||
\(411\) | 2.16275 | − | 3.74599i | 0.106681 | − | 0.184776i | ||||
\(412\) | 41.5993 | − | 52.1639i | 2.04945 | − | 2.56993i | ||||
\(413\) | 7.61179 | + | 7.48068i | 0.374552 | + | 0.368100i | ||||
\(414\) | 5.13826 | + | 6.44317i | 0.252532 | + | 0.316665i | ||||
\(415\) | 16.7623 | − | 2.52651i | 0.822829 | − | 0.124021i | ||||
\(416\) | −1.83190 | − | 1.24897i | −0.0898164 | − | 0.0612358i | ||||
\(417\) | 1.43376 | + | 0.977521i | 0.0702115 | + | 0.0478694i | ||||
\(418\) | 15.6867 | − | 2.36439i | 0.767263 | − | 0.115646i | ||||
\(419\) | 1.77815 | + | 2.22973i | 0.0868682 | + | 0.108929i | 0.823366 | − | 0.567510i | \(-0.192093\pi\) |
−0.736498 | + | 0.676440i | \(0.763522\pi\) | |||||||
\(420\) | 7.38710 | − | 4.73163i | 0.360454 | − | 0.230880i | ||||
\(421\) | 1.87917 | − | 2.35640i | 0.0915849 | − | 0.114844i | −0.733927 | − | 0.679228i | \(-0.762315\pi\) |
0.825512 | + | 0.564384i | \(0.190886\pi\) | |||||||
\(422\) | −3.48912 | + | 6.04334i | −0.169848 | + | 0.294185i | ||||
\(423\) | −6.49947 | − | 11.2574i | −0.316015 | − | 0.547354i | ||||
\(424\) | −36.7205 | − | 5.53472i | −1.78330 | − | 0.268790i | ||||
\(425\) | 0.121875 | + | 0.113083i | 0.00591180 | + | 0.00548535i | ||||
\(426\) | −1.46732 | + | 0.706623i | −0.0710918 | + | 0.0342360i | ||||
\(427\) | 5.77425 | − | 6.82890i | 0.279435 | − | 0.330474i | ||||
\(428\) | −30.9274 | − | 14.8938i | −1.49493 | − | 0.719920i | ||||
\(429\) | −0.378048 | − | 0.963251i | −0.0182523 | − | 0.0465062i | ||||
\(430\) | −0.909803 | − | 12.1405i | −0.0438746 | − | 0.585466i | ||||
\(431\) | 20.2168 | − | 6.23607i | 0.973811 | − | 0.300381i | 0.233285 | − | 0.972408i | \(-0.425053\pi\) |
0.740526 | + | 0.672028i | \(0.234576\pi\) | |||||||
\(432\) | 0.420086 | − | 5.60565i | 0.0202114 | − | 0.269702i | ||||
\(433\) | −0.563332 | − | 2.46812i | −0.0270720 | − | 0.118610i | 0.959586 | − | 0.281414i | \(-0.0908034\pi\) |
−0.986658 | + | 0.162804i | \(0.947946\pi\) | |||||||
\(434\) | 0.909713 | + | 19.7250i | 0.0436676 | + | 0.946830i | ||||
\(435\) | 1.62912 | − | 7.13766i | 0.0781105 | − | 0.342225i | ||||
\(436\) | 24.8962 | + | 7.67946i | 1.19231 | + | 0.367780i | ||||
\(437\) | −1.04044 | + | 2.65099i | −0.0497709 | + | 0.126814i | ||||
\(438\) | −3.30644 | + | 3.06793i | −0.157988 | + | 0.146591i | ||||
\(439\) | 0.272346 | − | 0.185683i | 0.0129984 | − | 0.00886215i | −0.556803 | − | 0.830644i | \(-0.687972\pi\) |
0.569802 | + | 0.821782i | \(0.307020\pi\) | |||||||
\(440\) | −27.9037 | −1.33025 | ||||||||
\(441\) | −15.8790 | − | 12.2178i | −0.756142 | − | 0.581802i | ||||
\(442\) | −0.602351 | −0.0286509 | ||||||||
\(443\) | 29.0891 | − | 19.8326i | 1.38207 | − | 0.942277i | 0.382232 | − | 0.924066i | \(-0.375156\pi\) |
0.999834 | − | 0.0182102i | \(-0.00579679\pi\) | |||||||
\(444\) | 2.29927 | − | 2.13341i | 0.109119 | − | 0.101247i | ||||
\(445\) | −4.27409 | + | 10.8902i | −0.202611 | + | 0.516245i | ||||
\(446\) | −61.5103 | − | 18.9734i | −2.91260 | − | 0.898417i | ||||
\(447\) | 0.248678 | − | 1.08953i | 0.0117621 | − | 0.0515330i | ||||
\(448\) | −22.4618 | − | 16.2780i | −1.06122 | − | 0.769065i | ||||
\(449\) | 7.09787 | + | 31.0978i | 0.334969 | + | 1.46760i | 0.809376 | + | 0.587290i | \(0.199805\pi\) |
−0.474407 | + | 0.880306i | \(0.657338\pi\) | |||||||
\(450\) | 0.339686 | − | 4.53280i | 0.0160130 | − | 0.213678i | ||||
\(451\) | 29.2011 | − | 9.00735i | 1.37503 | − | 0.424140i | ||||
\(452\) | −4.61994 | − | 61.6488i | −0.217304 | − | 2.89972i | ||||
\(453\) | 2.21166 | + | 5.63522i | 0.103913 | + | 0.264766i | ||||
\(454\) | 15.2009 | + | 7.32035i | 0.713412 | + | 0.343561i | ||||
\(455\) | −1.57653 | + | 6.09500i | −0.0739089 | + | 0.285738i | ||||
\(456\) | 3.33800 | − | 1.60750i | 0.156316 | − | 0.0752779i | ||||
\(457\) | −16.9154 | − | 15.6952i | −0.791268 | − | 0.734190i | 0.176971 | − | 0.984216i | \(-0.443370\pi\) |
−0.968239 | + | 0.250027i | \(0.919561\pi\) | |||||||
\(458\) | −40.9121 | − | 6.16651i | −1.91170 | − | 0.288142i | ||||
\(459\) | 0.273229 | + | 0.473246i | 0.0127532 | + | 0.0220892i | ||||
\(460\) | 5.36086 | − | 9.28529i | 0.249952 | − | 0.432929i | ||||
\(461\) | 8.06711 | − | 10.1158i | 0.375723 | − | 0.471142i | −0.557636 | − | 0.830085i | \(-0.688292\pi\) |
0.933359 | + | 0.358944i | \(0.116863\pi\) | |||||||
\(462\) | −2.22274 | − | 6.17950i | −0.103411 | − | 0.287496i | ||||
\(463\) | 17.9002 | + | 22.4462i | 0.831894 | + | 1.04316i | 0.998368 | + | 0.0571158i | \(0.0181904\pi\) |
−0.166474 | + | 0.986046i | \(0.553238\pi\) | |||||||
\(464\) | 21.1717 | − | 3.19111i | 0.982870 | − | 0.148144i | ||||
\(465\) | −2.27075 | − | 1.54817i | −0.105303 | − | 0.0717947i | ||||
\(466\) | 22.3507 | + | 15.2385i | 1.03538 | + | 0.705908i | ||||
\(467\) | 2.73730 | − | 0.412582i | 0.126667 | − | 0.0190920i | −0.0854027 | − | 0.996347i | \(-0.527218\pi\) |
0.212070 | + | 0.977255i | \(0.431980\pi\) | |||||||
\(468\) | 6.69879 | + | 8.40002i | 0.309652 | + | 0.388291i | ||||
\(469\) | −17.0587 | + | 27.6796i | −0.787697 | + | 1.27813i | ||||
\(470\) | −16.1622 | + | 20.2668i | −0.745508 | + | 0.934837i | ||||
\(471\) | 1.31357 | − | 2.27516i | 0.0605259 | − | 0.104834i | ||||
\(472\) | −8.48456 | − | 14.6957i | −0.390534 | − | 0.676424i | ||||
\(473\) | −5.87945 | − | 0.886185i | −0.270337 | − | 0.0407468i | ||||
\(474\) | −2.78186 | − | 2.58119i | −0.127775 | − | 0.118558i | ||||
\(475\) | 1.41522 | − | 0.681534i | 0.0649347 | − | 0.0312709i | ||||
\(476\) | −2.49293 | − | 0.0715984i | −0.114263 | − | 0.00328171i | ||||
\(477\) | −22.7641 | − | 10.9626i | −1.04229 | − | 0.501943i | ||||
\(478\) | 7.94663 | + | 20.2477i | 0.363471 | + | 0.926108i | ||||
\(479\) | 0.441991 | + | 5.89795i | 0.0201951 | + | 0.269484i | 0.998156 | + | 0.0606974i | \(0.0193325\pi\) |
−0.977961 | + | 0.208787i | \(0.933048\pi\) | |||||||
\(480\) | 1.87142 | − | 0.577256i | 0.0854181 | − | 0.0263480i | ||||
\(481\) | −0.168214 | + | 2.24466i | −0.00766990 | + | 0.102348i | ||||
\(482\) | −0.220962 | − | 0.968097i | −0.0100645 | − | 0.0440956i | ||||
\(483\) | 1.16022 | + | 0.209102i | 0.0527918 | + | 0.00951449i | ||||
\(484\) | 2.69751 | − | 11.8186i | 0.122614 | − | 0.537207i | ||||
\(485\) | 37.1603 | + | 11.4624i | 1.68736 | + | 0.520482i | ||||
\(486\) | 8.25160 | − | 21.0247i | 0.374300 | − | 0.953702i | ||||
\(487\) | −17.2266 | + | 15.9839i | −0.780611 | + | 0.724301i | −0.966050 | − | 0.258355i | \(-0.916820\pi\) |
0.185439 | + | 0.982656i | \(0.440629\pi\) | |||||||
\(488\) | −11.7485 | + | 8.00999i | −0.531830 | + | 0.362595i | ||||
\(489\) | −5.41870 | −0.245042 | ||||||||
\(490\) | −11.1116 | + | 38.3779i | −0.501971 | + | 1.73374i | ||||
\(491\) | −34.7261 | −1.56717 | −0.783583 | − | 0.621287i | \(-0.786610\pi\) | ||||
−0.783583 | + | 0.621287i | \(0.786610\pi\) | |||||||
\(492\) | 12.6213 | − | 8.60505i | 0.569012 | − | 0.387946i | ||||
\(493\) | −1.52574 | + | 1.41568i | −0.0687160 | + | 0.0637592i | ||||
\(494\) | −2.07913 | + | 5.29754i | −0.0935446 | + | 0.238348i | ||||
\(495\) | −18.1417 | − | 5.59598i | −0.815410 | − | 0.251521i | ||||
\(496\) | 1.78848 | − | 7.83584i | 0.0803051 | − | 0.351839i | ||||
\(497\) | 1.89652 | − | 4.45199i | 0.0850704 | − | 0.199699i | ||||
\(498\) | −1.41154 | − | 6.18435i | −0.0632525 | − | 0.277128i | ||||
\(499\) | 2.54404 | − | 33.9479i | 0.113887 | − | 1.51972i | −0.588835 | − | 0.808253i | \(-0.700413\pi\) |
0.702722 | − | 0.711464i | \(-0.251968\pi\) | |||||||
\(500\) | 37.0255 | − | 11.4208i | 1.65583 | − | 0.510756i | ||||
\(501\) | −0.165628 | − | 2.21016i | −0.00739973 | − | 0.0987425i | ||||
\(502\) | −9.12067 | − | 23.2391i | −0.407075 | − | 1.03721i | ||||
\(503\) | −30.0564 | − | 14.4744i | −1.34015 | − | 0.645382i | −0.380030 | − | 0.924974i | \(-0.624086\pi\) |
−0.960119 | + | 0.279593i | \(0.909801\pi\) | |||||||
\(504\) | 19.1389 | + | 25.4662i | 0.852514 | + | 1.13436i | ||||
\(505\) | 21.6970 | − | 10.4487i | 0.965505 | − | 0.464963i | ||||
\(506\) | −5.88366 | − | 5.45924i | −0.261561 | − | 0.242693i | ||||
\(507\) | 0.367066 | + | 0.0553263i | 0.0163020 | + | 0.00245713i | ||||
\(508\) | 18.7797 | + | 32.5274i | 0.833215 | + | 1.44317i | ||||
\(509\) | −6.27672 | + | 10.8716i | −0.278211 | + | 0.481875i | −0.970940 | − | 0.239322i | \(-0.923075\pi\) |
0.692729 | + | 0.721198i | \(0.256408\pi\) | |||||||
\(510\) | 0.331733 | − | 0.415980i | 0.0146894 | − | 0.0184199i | ||||
\(511\) | 1.38482 | − | 13.3305i | 0.0612609 | − | 0.589706i | ||||
\(512\) | 17.1218 | + | 21.4700i | 0.756683 | + | 0.948851i | ||||
\(513\) | 5.10520 | − | 0.769485i | 0.225400 | − | 0.0339736i | ||||
\(514\) | −22.6811 | − | 15.4637i | −1.00042 | − | 0.682074i | ||||
\(515\) | −34.9449 | − | 23.8250i | −1.53986 | − | 1.04986i | ||||
\(516\) | −2.93900 | + | 0.442983i | −0.129382 | + | 0.0195012i | ||||
\(517\) | 7.89340 | + | 9.89801i | 0.347151 | + | 0.435314i | ||||
\(518\) | −1.47608 | + | 14.2089i | −0.0648550 | + | 0.624304i | ||||
\(519\) | 0.506458 | − | 0.635078i | 0.0222310 | − | 0.0278768i | ||||
\(520\) | 5.00501 | − | 8.66892i | 0.219484 | − | 0.380157i | ||||
\(521\) | −16.7617 | − | 29.0322i | −0.734344 | − | 1.27192i | −0.955010 | − | 0.296572i | \(-0.904156\pi\) |
0.220666 | − | 0.975349i | \(-0.429177\pi\) | |||||||
\(522\) | 56.2693 | + | 8.48124i | 2.46284 | + | 0.371214i | ||||
\(523\) | 29.9162 | + | 27.7582i | 1.30814 | + | 1.21378i | 0.961187 | + | 0.275898i | \(0.0889753\pi\) |
0.346956 | + | 0.937881i | \(0.387215\pi\) | |||||||
\(524\) | 29.9529 | − | 14.4245i | 1.30850 | − | 0.630139i | ||||
\(525\) | −0.390660 | − | 0.519812i | −0.0170498 | − | 0.0226865i | ||||
\(526\) | 56.1636 | + | 27.0469i | 2.44885 | + | 1.17930i | ||||
\(527\) | 0.285447 | + | 0.727307i | 0.0124343 | + | 0.0316820i | ||||
\(528\) | 0.199758 | + | 2.66558i | 0.00869334 | + | 0.116005i | ||||
\(529\) | −20.6013 | + | 6.35467i | −0.895710 | + | 0.276290i | ||||
\(530\) | −3.76529 | + | 50.2444i | −0.163554 | + | 2.18248i | ||||
\(531\) | −2.56912 | − | 11.2560i | −0.111490 | − | 0.488470i | ||||
\(532\) | −9.23453 | + | 21.6776i | −0.400368 | + | 0.939845i | ||||
\(533\) | −2.43938 | + | 10.6876i | −0.105661 | + | 0.462933i | ||||
\(534\) | 4.18330 | + | 1.29038i | 0.181029 | + | 0.0558401i | ||||
\(535\) | −7.94973 | + | 20.2556i | −0.343697 | + | 0.875725i | ||||
\(536\) | 37.8968 | − | 35.1631i | 1.63689 | − | 1.51882i | ||||
\(537\) | 1.54337 | − | 1.05225i | 0.0666015 | − | 0.0454081i | ||||
\(538\) | 13.0400 | 0.562193 | ||||||||
\(539\) | 17.0657 | + | 9.46145i | 0.735073 | + | 0.407533i | ||||
\(540\) | −19.4374 | −0.836451 | ||||||||
\(541\) | −19.0228 | + | 12.9695i | −0.817856 | + | 0.557604i | −0.898416 | − | 0.439145i | \(-0.855281\pi\) |
0.0805605 | + | 0.996750i | \(0.474329\pi\) | |||||||
\(542\) | 6.71714 | − | 6.23259i | 0.288526 | − | 0.267713i | ||||
\(543\) | 2.14588 | − | 5.46762i | 0.0920887 | − | 0.234638i | ||||
\(544\) | −0.532027 | − | 0.164109i | −0.0228105 | − | 0.00703610i | ||||
\(545\) | 3.67503 | − | 16.1014i | 0.157421 | − | 0.689707i | ||||
\(546\) | 2.31849 | + | 0.417854i | 0.0992224 | + | 0.0178825i | ||||
\(547\) | 3.17990 | + | 13.9320i | 0.135963 | + | 0.595691i | 0.996298 | + | 0.0859632i | \(0.0273968\pi\) |
−0.860336 | + | 0.509728i | \(0.829746\pi\) | |||||||
\(548\) | 3.26871 | − | 43.6179i | 0.139632 | − | 1.86326i | ||||
\(549\) | −9.24473 | + | 2.85162i | −0.394555 | + | 0.121704i | ||||
\(550\) | 0.330830 | + | 4.41462i | 0.0141066 | + | 0.188240i | ||||
\(551\) | 7.18422 | + | 18.3051i | 0.306058 | + | 0.779823i | ||||
\(552\) | −1.68884 | − | 0.813303i | −0.0718819 | − | 0.0346165i | ||||
\(553\) | 11.2712 | + | 0.323717i | 0.479302 | + | 0.0137658i | ||||
\(554\) | 63.6967 | − | 30.6747i | 2.70621 | − | 1.30324i | ||||
\(555\) | −1.45751 | − | 1.35237i | −0.0618678 | − | 0.0574049i | ||||
\(556\) | 17.3515 | + | 2.61532i | 0.735868 | + | 0.110914i | ||||
\(557\) | −15.9801 | − | 27.6784i | −0.677100 | − | 1.17277i | −0.975850 | − | 0.218440i | \(-0.929903\pi\) |
0.298750 | − | 0.954331i | \(-0.403430\pi\) | |||||||
\(558\) | 10.6807 | − | 18.4995i | 0.452150 | − | 0.783147i | ||||
\(559\) | 1.32990 | − | 1.66764i | 0.0562486 | − | 0.0705335i | ||||
\(560\) | 8.53240 | − | 13.8448i | 0.360560 | − | 0.585049i | ||||
\(561\) | −0.162014 | − | 0.203159i | −0.00684022 | − | 0.00857736i | ||||
\(562\) | 28.5349 | − | 4.30095i | 1.20367 | − | 0.181424i | ||||
\(563\) | 0.0978601 | + | 0.0667199i | 0.00412431 | + | 0.00281191i | 0.565380 | − | 0.824830i | \(-0.308729\pi\) |
−0.561256 | + | 0.827642i | \(0.689682\pi\) | |||||||
\(564\) | 5.22881 | + | 3.56494i | 0.220172 | + | 0.150111i | ||||
\(565\) | −38.7511 | + | 5.84079i | −1.63027 | + | 0.245724i | ||||
\(566\) | 25.9359 | + | 32.5226i | 1.09017 | + | 1.36703i | ||||
\(567\) | 6.96590 | + | 19.3661i | 0.292540 | + | 0.813298i | ||||
\(568\) | −4.79725 | + | 6.01556i | −0.201288 | + | 0.252407i | ||||
\(569\) | 10.3819 | − | 17.9819i | 0.435231 | − | 0.753842i | −0.562083 | − | 0.827080i | \(-0.690000\pi\) |
0.997314 | + | 0.0732383i | \(0.0233334\pi\) | |||||||
\(570\) | −2.51341 | − | 4.35336i | −0.105275 | − | 0.182342i | ||||
\(571\) | −11.6830 | − | 1.76093i | −0.488919 | − | 0.0736927i | −0.100044 | − | 0.994983i | \(-0.531898\pi\) |
−0.388875 | + | 0.921290i | \(0.627136\pi\) | |||||||
\(572\) | −7.67058 | − | 7.11726i | −0.320723 | − | 0.297587i | ||||
\(573\) | −4.06516 | + | 1.95768i | −0.169825 | + | 0.0817833i | ||||
\(574\) | −17.4221 | + | 67.3552i | −0.727183 | + | 2.81135i | ||||
\(575\) | −0.716022 | − | 0.344818i | −0.0298602 | − | 0.0143799i | ||||
\(576\) | 10.9637 | + | 27.9349i | 0.456819 | + | 1.16396i | ||||
\(577\) | 3.09390 | + | 41.2852i | 0.128801 | + | 1.71872i | 0.570277 | + | 0.821452i | \(0.306836\pi\) |
−0.441477 | + | 0.897273i | \(0.645545\pi\) | |||||||
\(578\) | 38.8217 | − | 11.9749i | 1.61477 | − | 0.498091i | ||||
\(579\) | −0.472432 | + | 6.30417i | −0.0196336 | + | 0.261992i | ||||
\(580\) | −16.4740 | − | 72.1773i | −0.684045 | − | 2.99700i | ||||
\(581\) | 15.2620 | + | 11.0603i | 0.633173 | + | 0.458861i | ||||
\(582\) | 3.23815 | − | 14.1873i | 0.134226 | − | 0.588081i | ||||
\(583\) | 23.5142 | + | 7.25317i | 0.973858 | + | 0.300395i | ||||
\(584\) | −7.78526 | + | 19.8365i | −0.322156 | + | 0.820841i | ||||
\(585\) | 4.99255 | − | 4.63241i | 0.206417 | − | 0.191527i | ||||
\(586\) | −0.459528 | + | 0.313301i | −0.0189829 | + | 0.0129423i | ||||
\(587\) | −1.93171 | −0.0797302 | −0.0398651 | − | 0.999205i | \(-0.512693\pi\) | ||||
−0.0398651 | + | 0.999205i | \(0.512693\pi\) | |||||||
\(588\) | 9.54581 | + | 2.00495i | 0.393663 | + | 0.0826827i | ||||
\(589\) | 7.38178 | 0.304161 | ||||||||
\(590\) | −19.0231 | + | 12.9698i | −0.783170 | + | 0.533956i | ||||
\(591\) | −6.81800 | + | 6.32618i | −0.280455 | + | 0.260224i | ||||
\(592\) | 2.12434 | − | 5.41274i | 0.0873099 | − | 0.222462i | ||||
\(593\) | −28.0202 | − | 8.64307i | −1.15065 | − | 0.354928i | −0.339980 | − | 0.940433i | \(-0.610420\pi\) |
−0.810669 | + | 0.585504i | \(0.800897\pi\) | |||||||
\(594\) | −3.23785 | + | 14.1859i | −0.132850 | + | 0.582056i | ||||
\(595\) | 0.0728343 | + | 1.57924i | 0.00298592 | + | 0.0647426i | ||||
\(596\) | −2.51468 | − | 11.0175i | −0.103005 | − | 0.451295i | ||||
\(597\) | −0.710794 | + | 9.48488i | −0.0290909 | + | 0.388190i | ||||
\(598\) | 2.75138 | − | 0.848687i | 0.112512 | − | 0.0347054i | ||||
\(599\) | −2.18182 | − | 29.1144i | −0.0891469 | − | 1.18958i | −0.844972 | − | 0.534810i | \(-0.820383\pi\) |
0.755826 | − | 0.654773i | \(-0.227236\pi\) | |||||||
\(600\) | 0.377723 | + | 0.962424i | 0.0154205 | + | 0.0392908i | ||||
\(601\) | −5.09871 | − | 2.45541i | −0.207981 | − | 0.100158i | 0.326994 | − | 0.945027i | \(-0.393964\pi\) |
−0.534974 | + | 0.844868i | \(0.679679\pi\) | |||||||
\(602\) | 8.74036 | − | 10.3368i | 0.356231 | − | 0.421295i | ||||
\(603\) | 31.6907 | − | 15.2614i | 1.29054 | − | 0.621493i | ||||
\(604\) | 44.8745 | + | 41.6374i | 1.82592 | + | 1.69420i | ||||
\(605\) | −7.59862 | − | 1.14531i | −0.308928 | − | 0.0465634i | ||||
\(606\) | −4.50579 | − | 7.80426i | −0.183035 | − | 0.317026i | ||||
\(607\) | −2.18799 | + | 3.78972i | −0.0888079 | + | 0.153820i | −0.907007 | − | 0.421114i | \(-0.861639\pi\) |
0.818200 | + | 0.574934i | \(0.194972\pi\) | |||||||
\(608\) | −3.27970 | + | 4.11261i | −0.133009 | + | 0.166788i | ||||
\(609\) | 6.85477 | − | 4.39066i | 0.277769 | − | 0.177918i | ||||
\(610\) | 12.0288 | + | 15.0837i | 0.487033 | + | 0.610720i | ||||
\(611\) | −4.49087 | + | 0.676889i | −0.181681 | + | 0.0273840i | ||||
\(612\) | 2.22918 | + | 1.51983i | 0.0901094 | + | 0.0614356i | ||||
\(613\) | 2.21996 | + | 1.51354i | 0.0896634 | + | 0.0611315i | 0.607322 | − | 0.794456i | \(-0.292244\pi\) |
−0.517658 | + | 0.855587i | \(0.673196\pi\) | |||||||
\(614\) | 69.9189 | − | 10.5386i | 2.82170 | − | 0.425302i | ||||
\(615\) | −6.03738 | − | 7.57063i | −0.243451 | − | 0.305277i | ||||
\(616\) | −22.1283 | − | 21.7471i | −0.891574 | − | 0.876216i | ||||
\(617\) | −27.2289 | + | 34.1439i | −1.09619 | + | 1.37458i | −0.175416 | + | 0.984494i | \(0.556127\pi\) |
−0.920777 | + | 0.390088i | \(0.872444\pi\) | |||||||
\(618\) | −7.91332 | + | 13.7063i | −0.318320 | + | 0.551347i | ||||
\(619\) | −9.62045 | − | 16.6631i | −0.386679 | − | 0.669747i | 0.605322 | − | 0.795981i | \(-0.293044\pi\) |
−0.992001 | + | 0.126234i | \(0.959711\pi\) | |||||||
\(620\) | −27.4808 | − | 4.14207i | −1.10366 | − | 0.166350i | ||||
\(621\) | −1.91482 | − | 1.77669i | −0.0768391 | − | 0.0712962i | ||||
\(622\) | −25.2322 | + | 12.1512i | −1.01172 | + | 0.487219i | ||||
\(623\) | −11.8769 | + | 5.30512i | −0.475837 | + | 0.212545i | ||||
\(624\) | −0.863956 | − | 0.416059i | −0.0345859 | − | 0.0166557i | ||||
\(625\) | −10.1828 | − | 25.9453i | −0.407312 | − | 1.03781i | ||||
\(626\) | −1.86019 | − | 24.8225i | −0.0743482 | − | 0.992107i | ||||
\(627\) | −2.34596 | + | 0.723632i | −0.0936885 | + | 0.0288991i | ||||
\(628\) | 1.98528 | − | 26.4917i | 0.0792213 | − | 1.05713i | ||||
\(629\) | 0.125780 | + | 0.551077i | 0.00501517 | + | 0.0219729i | ||||
\(630\) | 32.5155 | − | 28.4772i | 1.29545 | − | 1.13456i | ||||
\(631\) | −4.43962 | + | 19.4513i | −0.176739 | + | 0.774342i | 0.806384 | + | 0.591393i | \(0.201422\pi\) |
−0.983122 | + | 0.182950i | \(0.941435\pi\) | |||||||
\(632\) | −17.1322 | − | 5.28458i | −0.681482 | − | 0.210209i | ||||
\(633\) | 0.394540 | − | 1.00527i | 0.0156815 | − | 0.0399559i | ||||
\(634\) | 23.5748 | − | 21.8742i | 0.936276 | − | 0.868737i | ||||
\(635\) | 19.6719 | − | 13.4121i | 0.780654 | − | 0.532241i | ||||
\(636\) | 12.3007 | 0.487753 | ||||||||
\(637\) | −6.00046 | + | 3.60479i | −0.237747 | + | 0.142827i | ||||
\(638\) | −55.4212 | −2.19415 | ||||||||
\(639\) | −4.32536 | + | 2.94898i | −0.171109 | + | 0.116660i | ||||
\(640\) | 36.1339 | − | 33.5274i | 1.42832 | − | 1.32529i | ||||
\(641\) | −15.7679 | + | 40.1759i | −0.622794 | + | 1.58685i | 0.175430 | + | 0.984492i | \(0.443868\pi\) |
−0.798224 | + | 0.602361i | \(0.794227\pi\) | |||||||
\(642\) | 7.78087 | + | 2.40008i | 0.307086 | + | 0.0947236i | ||||
\(643\) | −9.59265 | + | 42.0282i | −0.378297 | + | 1.65743i | 0.324385 | + | 0.945925i | \(0.394843\pi\) |
−0.702682 | + | 0.711504i | \(0.748014\pi\) | |||||||
\(644\) | 11.4879 | − | 3.18539i | 0.452687 | − | 0.125522i | ||||
\(645\) | 0.419246 | + | 1.83684i | 0.0165078 | + | 0.0723254i | ||||
\(646\) | −0.106795 | + | 1.42509i | −0.00420181 | + | 0.0560692i | ||||
\(647\) | 7.90679 | − | 2.43892i | 0.310848 | − | 0.0958839i | −0.135406 | − | 0.990790i | \(-0.543234\pi\) |
0.446254 | + | 0.894906i | \(0.352758\pi\) | |||||||
\(648\) | −2.44543 | − | 32.6320i | −0.0960655 | − | 1.28191i | ||||
\(649\) | 4.10807 | + | 10.4672i | 0.161256 | + | 0.410873i | ||||
\(650\) | −1.43084 | − | 0.689058i | −0.0561223 | − | 0.0270271i | ||||
\(651\) | −0.594170 | − | 2.99748i | −0.0232874 | − | 0.117480i | ||||
\(652\) | −49.3684 | + | 23.7746i | −1.93342 | + | 0.931085i | ||||
\(653\) | −6.80243 | − | 6.31174i | −0.266200 | − | 0.246997i | 0.535767 | − | 0.844366i | \(-0.320023\pi\) |
−0.801967 | + | 0.597369i | \(0.796213\pi\) | |||||||
\(654\) | −6.11115 | − | 0.921107i | −0.238965 | − | 0.0360182i | ||||
\(655\) | −10.5371 | − | 18.2507i | −0.411717 | − | 0.713115i | ||||
\(656\) | 14.1592 | − | 24.5244i | 0.552824 | − | 0.957519i | ||||
\(657\) | −9.03977 | + | 11.3355i | −0.352675 | + | 0.442241i | ||||
\(658\) | −28.6122 | + | 3.47580i | −1.11542 | + | 0.135501i | ||||
\(659\) | 2.23654 | + | 2.80453i | 0.0871233 | + | 0.109249i | 0.823483 | − | 0.567342i | \(-0.192028\pi\) |
−0.736359 | + | 0.676591i | \(0.763457\pi\) | |||||||
\(660\) | 9.13956 | − | 1.37757i | 0.355757 | − | 0.0536217i | ||||
\(661\) | −15.6407 | − | 10.6636i | −0.608352 | − | 0.414768i | 0.219581 | − | 0.975594i | \(-0.429531\pi\) |
−0.827933 | + | 0.560827i | \(0.810483\pi\) | |||||||
\(662\) | −53.3119 | − | 36.3474i | −2.07202 | − | 1.41268i | ||||
\(663\) | 0.0921759 | − | 0.0138933i | 0.00357982 | − | 0.000539570i | ||||
\(664\) | −18.6853 | − | 23.4306i | −0.725130 | − | 0.909284i | ||||
\(665\) | 14.1405 | + | 4.81050i | 0.548345 | + | 0.186543i | ||||
\(666\) | 9.63545 | − | 12.0825i | 0.373366 | − | 0.468186i | ||||
\(667\) | 4.97455 | − | 8.61617i | 0.192615 | − | 0.333620i | ||||
\(668\) | −11.2061 | − | 19.4095i | −0.433576 | − | 0.750976i | ||||
\(669\) | 9.85036 | + | 1.48470i | 0.380837 | + | 0.0574019i | ||||
\(670\) | −51.4186 | − | 47.7095i | −1.98647 | − | 1.84318i | ||||
\(671\) | 8.48920 | − | 4.08818i | 0.327722 | − | 0.157823i | ||||
\(672\) | 1.93397 | + | 1.00074i | 0.0746046 | + | 0.0386043i | ||||
\(673\) | −26.6725 | − | 12.8448i | −1.02815 | − | 0.495131i | −0.157752 | − | 0.987479i | \(-0.550425\pi\) |
−0.870399 | + | 0.492347i | \(0.836139\pi\) | |||||||
\(674\) | 16.6866 | + | 42.5167i | 0.642743 | + | 1.63768i | ||||
\(675\) | 0.107668 | + | 1.43672i | 0.00414413 | + | 0.0552995i | ||||
\(676\) | 3.58699 | − | 1.10644i | 0.137961 | − | 0.0425554i | ||||
\(677\) | −2.64453 | + | 35.2887i | −0.101637 | + | 1.35626i | 0.680316 | + | 0.732919i | \(0.261843\pi\) |
−0.781953 | + | 0.623337i | \(0.785776\pi\) | |||||||
\(678\) | 3.26320 | + | 14.2970i | 0.125322 | + | 0.549073i | ||||
\(679\) | 20.5356 | + | 38.0514i | 0.788084 | + | 1.46028i | ||||
\(680\) | 0.559344 | − | 2.45064i | 0.0214499 | − | 0.0939779i | ||||
\(681\) | −2.49499 | − | 0.769602i | −0.0956081 | − | 0.0294912i | ||||
\(682\) | −7.60072 | + | 19.3663i | −0.291046 | + | 0.741574i | ||||
\(683\) | 32.0077 | − | 29.6988i | 1.22474 | − | 1.13639i | 0.238487 | − | 0.971146i | \(-0.423349\pi\) |
0.986252 | − | 0.165246i | \(-0.0528420\pi\) | |||||||
\(684\) | 21.0611 | − | 14.3592i | 0.805290 | − | 0.549037i | ||||
\(685\) | −27.7269 | −1.05939 | ||||||||
\(686\) | −38.7222 | + | 21.7746i | −1.47842 | + | 0.831360i | ||||
\(687\) | 6.40289 | 0.244286 | ||||||||
\(688\) | −4.55253 | + | 3.10387i | −0.173564 | + | 0.118334i | ||||
\(689\) | −6.47104 | + | 6.00425i | −0.246527 | + | 0.228744i | ||||
\(690\) | −0.929169 | + | 2.36748i | −0.0353729 | + | 0.0901286i | ||||
\(691\) | −18.2951 | − | 5.64328i | −0.695977 | − | 0.214681i | −0.0734734 | − | 0.997297i | \(-0.523408\pi\) |
−0.622504 | + | 0.782617i | \(0.713885\pi\) | |||||||
\(692\) | 1.82780 | − | 8.00813i | 0.0694827 | − | 0.304424i | ||||
\(693\) | −10.0255 | − | 18.5768i | −0.380838 | − | 0.705672i | ||||
\(694\) | 17.9240 | + | 78.5300i | 0.680384 | + | 2.98096i | ||||
\(695\) | 0.831251 | − | 11.0923i | 0.0315311 | − | 0.420754i | ||||
\(696\) | −12.3682 | + | 3.81508i | −0.468815 | + | 0.144610i | ||||
\(697\) | 0.205721 | + | 2.74515i | 0.00779223 | + | 0.103980i | ||||
\(698\) | 30.3363 | + | 77.2956i | 1.14825 | + | 2.92568i | ||||
\(699\) | −3.77174 | − | 1.81637i | −0.142660 | − | 0.0687016i | ||||
\(700\) | −5.83989 | − | 3.02186i | −0.220727 | − | 0.114216i | ||||
\(701\) | 9.68915 | − | 4.66605i | 0.365954 | − | 0.176234i | −0.241865 | − | 0.970310i | \(-0.577759\pi\) |
0.607819 | + | 0.794076i | \(0.292045\pi\) | |||||||
\(702\) | −3.82643 | − | 3.55041i | −0.144419 | − | 0.134001i | ||||
\(703\) | 5.28076 | + | 0.795946i | 0.199168 | + | 0.0300197i | ||||
\(704\) | −14.6135 | − | 25.3113i | −0.550766 | − | 0.953954i | ||||
\(705\) | 2.00580 | − | 3.47415i | 0.0755429 | − | 0.130844i | ||||
\(706\) | 14.3736 | − | 18.0239i | 0.540958 | − | 0.678340i | ||||
\(707\) | 25.3496 | + | 8.62379i | 0.953372 | + | 0.324331i | ||||
\(708\) | 3.50454 | + | 4.39455i | 0.131709 | + | 0.165157i | ||||
\(709\) | 30.0835 | − | 4.53436i | 1.12981 | − | 0.170291i | 0.442578 | − | 0.896730i | \(-0.354064\pi\) |
0.687231 | + | 0.726439i | \(0.258826\pi\) | |||||||
\(710\) | 8.62553 | + | 5.88079i | 0.323710 | + | 0.220702i | ||||
\(711\) | −10.0788 | − | 6.87159i | −0.377984 | − | 0.257705i | ||||
\(712\) | 20.4515 | − | 3.08257i | 0.766454 | − | 0.115524i | ||||
\(713\) | −2.32859 | − | 2.91996i | −0.0872064 | − | 0.109353i | ||||
\(714\) | 0.587272 | − | 0.0713414i | 0.0219781 | − | 0.00266989i | ||||
\(715\) | −4.13565 | + | 5.18594i | −0.154665 | + | 0.193943i | ||||
\(716\) | 9.44452 | − | 16.3584i | 0.352958 | − | 0.611342i | ||||
\(717\) | −1.68307 | − | 2.91515i | −0.0628552 | − | 0.108868i | ||||
\(718\) | −29.6426 | − | 4.46790i | −1.10625 | − | 0.166741i | ||||
\(719\) | −38.6354 | − | 35.8484i | −1.44086 | − | 1.33692i | −0.846111 | − | 0.533007i | \(-0.821062\pi\) |
−0.594747 | − | 0.803913i | \(-0.702748\pi\) | |||||||
\(720\) | −15.8510 | + | 7.63345i | −0.590733 | + | 0.284482i | ||||
\(721\) | −9.14378 | − | 46.1286i | −0.340532 | − | 1.71792i | ||||
\(722\) | −28.8972 | − | 13.9162i | −1.07544 | − | 0.517906i | ||||
\(723\) | 0.0561424 | + | 0.143048i | 0.00208796 | + | 0.00532003i | ||||
\(724\) | −4.43862 | − | 59.2292i | −0.164960 | − | 2.20124i | ||||
\(725\) | −5.24377 | + | 1.61749i | −0.194749 | + | 0.0600720i | ||||
\(726\) | −0.214891 | + | 2.86752i | −0.00797536 | + | 0.106424i | ||||
\(727\) | 7.59109 | + | 33.2588i | 0.281538 | + | 1.23350i | 0.895822 | + | 0.444414i | \(0.146588\pi\) |
−0.614284 | + | 0.789085i | \(0.710555\pi\) | |||||||
\(728\) | 10.7253 | − | 2.97394i | 0.397508 | − | 0.110222i | ||||
\(729\) | 4.41506 | − | 19.3436i | 0.163521 | − | 0.716431i | ||||
\(730\) | 27.6284 | + | 8.52223i | 1.02257 | + | 0.315422i | ||||
\(731\) | 0.195686 | − | 0.498600i | 0.00723771 | − | 0.0184414i | ||||
\(732\) | 3.45266 | − | 3.20360i | 0.127614 | − | 0.118408i | ||||
\(733\) | 30.2383 | − | 20.6161i | 1.11688 | − | 0.761474i | 0.143266 | − | 0.989684i | \(-0.454240\pi\) |
0.973612 | + | 0.228210i | \(0.0732872\pi\) | |||||||
\(734\) | 57.3145 | 2.11552 | ||||||||
\(735\) | 0.815185 | − | 6.12915i | 0.0300685 | − | 0.226077i | ||||
\(736\) | 2.66138 | 0.0980998 | ||||||||
\(737\) | −28.3044 | + | 19.2976i | −1.04261 | + | 0.710836i | ||||
\(738\) | 55.1722 | − | 51.1923i | 2.03092 | − | 1.88441i | ||||
\(739\) | −4.27560 | + | 10.8941i | −0.157281 | + | 0.400744i | −0.987693 | − | 0.156405i | \(-0.950010\pi\) |
0.830412 | + | 0.557149i | \(0.188105\pi\) | |||||||
\(740\) | −19.2125 | − | 5.92629i | −0.706267 | − | 0.217855i | ||||
\(741\) | 0.195975 | − | 0.858623i | 0.00719932 | − | 0.0315423i | ||||
\(742\) | −42.1446 | + | 36.9105i | −1.54718 | + | 1.35503i | ||||
\(743\) | −1.57366 | − | 6.89465i | −0.0577319 | − | 0.252940i | 0.937824 | − | 0.347111i | \(-0.112837\pi\) |
−0.995556 | + | 0.0941707i | \(0.969980\pi\) | |||||||
\(744\) | −0.363093 | + | 4.84514i | −0.0133116 | + | 0.177631i | ||||
\(745\) | −6.84535 | + | 2.11151i | −0.250794 | + | 0.0773598i | ||||
\(746\) | 0.435599 | + | 5.81266i | 0.0159484 | + | 0.212817i | ||||
\(747\) | −7.44942 | − | 18.9808i | −0.272560 | − | 0.694471i | ||||
\(748\) | −2.36743 | − | 1.14009i | −0.0865617 | − | 0.0416859i | ||||
\(749\) | −22.0908 | + | 9.86743i | −0.807180 | + | 0.360548i | ||||
\(750\) | −8.28091 | + | 3.98787i | −0.302376 | + | 0.145617i | ||||
\(751\) | −7.95563 | − | 7.38175i | −0.290305 | − | 0.269364i | 0.521553 | − | 0.853219i | \(-0.325353\pi\) |
−0.811858 | + | 0.583855i | \(0.801544\pi\) | |||||||
\(752\) | 11.6008 | + | 1.74855i | 0.423039 | + | 0.0637629i | ||||
\(753\) | 1.93172 | + | 3.34584i | 0.0703958 | + | 0.121929i | ||||
\(754\) | 9.94076 | − | 17.2179i | 0.362021 | − | 0.627039i | ||||
\(755\) | 24.1944 | − | 30.3388i | 0.880525 | − | 1.10414i | ||||
\(756\) | −15.4143 | − | 15.1488i | −0.560613 | − | 0.550956i | ||||
\(757\) | 12.9134 | + | 16.1929i | 0.469345 | + | 0.588540i | 0.959011 | − | 0.283370i | \(-0.0914525\pi\) |
−0.489665 | + | 0.871910i | \(0.662881\pi\) | |||||||
\(758\) | −28.1106 | + | 4.23699i | −1.02102 | + | 0.153894i | ||||
\(759\) | 1.02628 | + | 0.699704i | 0.0372515 | + | 0.0253976i | ||||
\(760\) | −19.6222 | − | 13.3782i | −0.711772 | − | 0.485278i | ||||
\(761\) | 41.5899 | − | 6.26867i | 1.50763 | − | 0.227239i | 0.657358 | − | 0.753579i | \(-0.271674\pi\) |
0.850275 | + | 0.526340i | \(0.176436\pi\) | |||||||
\(762\) | −5.55494 | − | 6.96568i | −0.201234 | − | 0.252340i | ||||
\(763\) | 15.4632 | − | 9.90459i | 0.559806 | − | 0.358570i | ||||
\(764\) | −28.4474 | + | 35.6719i | −1.02919 | + | 1.29056i | ||||
\(765\) | 0.855128 | − | 1.48113i | 0.0309172 | − | 0.0535502i | ||||
\(766\) | −43.5536 | − | 75.4370i | −1.57365 | − | 2.72565i | ||||
\(767\) | −3.98873 | − | 0.601204i | −0.144025 | − | 0.0217082i | ||||
\(768\) | −7.81537 | − | 7.25160i | −0.282013 | − | 0.261670i | ||||
\(769\) | −40.3765 | + | 19.4443i | −1.45601 | + | 0.701179i | −0.983628 | − | 0.180212i | \(-0.942322\pi\) |
−0.472386 | + | 0.881392i | \(0.656607\pi\) | |||||||
\(770\) | −27.1804 | + | 32.1448i | −0.979513 | + | 1.15842i | ||||
\(771\) | 3.82749 | + | 1.84322i | 0.137844 | + | 0.0663820i | ||||
\(772\) | 23.3554 | + | 59.5086i | 0.840579 | + | 2.14176i | ||||
\(773\) | 3.32465 | + | 44.3644i | 0.119579 | + | 1.59568i | 0.658012 | + | 0.753008i | \(0.271398\pi\) |
−0.538433 | + | 0.842669i | \(0.680983\pi\) | |||||||
\(774\) | −13.9936 | + | 4.31644i | −0.502988 | + | 0.155151i | ||||
\(775\) | −0.153941 | + | 2.05421i | −0.00552974 | + | 0.0737892i | ||||
\(776\) | −15.2984 | − | 67.0266i | −0.549180 | − | 2.40611i | ||||
\(777\) | −0.101851 | − | 2.20839i | −0.00365387 | − | 0.0792257i | ||||
\(778\) | 1.36185 | − | 5.96666i | 0.0488248 | − | 0.213915i | ||||
\(779\) | 24.8531 | + | 7.66617i | 0.890455 | + | 0.274669i | ||||
\(780\) | −1.21137 | + | 3.08651i | −0.0433738 | + | 0.110515i | ||||
\(781\) | 3.73747 | − | 3.46787i | 0.133737 | − | 0.124090i | ||||
\(782\) | 0.597400 | − | 0.407300i | 0.0213630 | − | 0.0145650i | ||||
\(783\) | −18.0367 | −0.644578 | ||||||||
\(784\) | 17.5565 | − | 4.32940i | 0.627019 | − | 0.154621i | ||||
\(785\) | −16.8402 | −0.601053 | ||||||||
\(786\) | −6.51577 | + | 4.44238i | −0.232410 | + | 0.158454i | ||||
\(787\) | −0.440042 | + | 0.408299i | −0.0156858 | + | 0.0145543i | −0.687977 | − | 0.725733i | \(-0.741501\pi\) |
0.672291 | + | 0.740287i | \(0.265310\pi\) | |||||||
\(788\) | −34.3610 | + | 87.5504i | −1.22406 | + | 3.11885i | ||||
\(789\) | −9.21838 | − | 2.84350i | −0.328183 | − | 0.101231i | ||||
\(790\) | −5.41298 | + | 23.7158i | −0.192585 | + | 0.843771i | ||||
\(791\) | −35.2827 | − | 25.5693i | −1.25451 | − | 0.909141i | ||||
\(792\) | 7.46869 | + | 32.7225i | 0.265388 | + | 1.16274i | ||||
\(793\) | −0.252596 | + | 3.37065i | −0.00896993 | + | 0.119695i | ||||
\(794\) | 15.3299 | − | 4.72866i | 0.544039 | − | 0.167814i | ||||
\(795\) | −0.582700 | − | 7.77559i | −0.0206662 | − | 0.275772i | ||||
\(796\) | 35.1391 | + | 89.5331i | 1.24547 | + | 3.17342i | ||||
\(797\) | 5.91765 | + | 2.84979i | 0.209614 | + | 0.100945i | 0.535745 | − | 0.844380i | \(-0.320031\pi\) |
−0.326131 | + | 0.945325i | \(0.605745\pi\) | |||||||
\(798\) | 1.39965 | − | 5.41118i | 0.0495472 | − | 0.191554i | ||||
\(799\) | −1.02752 | + | 0.494828i | −0.0363511 | + | 0.0175058i | ||||
\(800\) | −1.07606 | − | 0.998441i | −0.0380446 | − | 0.0353002i | ||||
\(801\) | 13.9149 | + | 2.09733i | 0.491658 | + | 0.0741055i | ||||
\(802\) | 13.6678 | + | 23.6733i | 0.482626 | + | 0.835933i | ||||
\(803\) | 7.06032 | − | 12.2288i | 0.249153 | − | 0.431546i | ||||
\(804\) | −10.6768 | + | 13.3882i | −0.376541 | + | 0.472167i | ||||
\(805\) | −2.55778 | − | 7.11094i | −0.0901497 | − | 0.250628i | ||||
\(806\) | −4.65328 | − | 5.83502i | −0.163905 | − | 0.205530i | ||||
\(807\) | −1.99547 | + | 0.300768i | −0.0702438 | + | 0.0105875i | ||||
\(808\) | −35.1767 | − | 23.9831i | −1.23751 | − | 0.843722i | ||||
\(809\) | 7.13530 | + | 4.86476i | 0.250864 | + | 0.171036i | 0.682223 | − | 0.731144i | \(-0.261013\pi\) |
−0.431359 | + | 0.902180i | \(0.641966\pi\) | |||||||
\(810\) | −43.9034 | + | 6.61738i | −1.54261 | + | 0.232511i | ||||
\(811\) | 22.2175 | + | 27.8598i | 0.780161 | + | 0.978291i | 0.999996 | + | 0.00275356i | \(0.000876487\pi\) |
−0.219836 | + | 0.975537i | \(0.570552\pi\) | |||||||
\(812\) | 43.1881 | − | 70.0776i | 1.51561 | − | 2.45924i | ||||
\(813\) | −0.884148 | + | 1.10869i | −0.0310084 | + | 0.0388833i | ||||
\(814\) | −7.52557 | + | 13.0347i | −0.263771 | + | 0.456865i | ||||
\(815\) | 17.3672 | + | 30.0809i | 0.608348 | + | 1.05369i | ||||
\(816\) | −0.238110 | − | 0.0358892i | −0.00833550 | − | 0.00125637i | ||||
\(817\) | −3.70963 | − | 3.44203i | −0.129784 | − | 0.120422i | ||||
\(818\) | 41.8752 | − | 20.1660i | 1.46413 | − | 0.705089i | ||||
\(819\) | 7.56955 | + | 0.217402i | 0.264502 | + | 0.00759664i | ||||
\(820\) | −88.2213 | − | 42.4851i | −3.08082 | − | 1.48365i | ||||
\(821\) | −11.8391 | − | 30.1656i | −0.413188 | − | 1.05279i | −0.974342 | − | 0.225074i | \(-0.927738\pi\) |
0.561154 | − | 0.827711i | \(-0.310358\pi\) | |||||||
\(822\) | 0.775367 | + | 10.3466i | 0.0270440 | + | 0.360878i | ||||
\(823\) | −44.0204 | + | 13.5785i | −1.53445 | + | 0.473316i | −0.942935 | − | 0.332976i | \(-0.891947\pi\) |
−0.591518 | + | 0.806292i | \(0.701471\pi\) | |||||||
\(824\) | −5.58769 | + | 74.5626i | −0.194657 | + | 2.59751i | ||||
\(825\) | −0.152450 | − | 0.667925i | −0.00530761 | − | 0.0232542i | ||||
\(826\) | −25.1940 | − | 4.54062i | −0.876610 | − | 0.157988i | ||||
\(827\) | −0.458182 | + | 2.00743i | −0.0159326 | + | 0.0698051i | −0.982269 | − | 0.187476i | \(-0.939969\pi\) |
0.966337 | + | 0.257281i | \(0.0828265\pi\) | |||||||
\(828\) | −12.3237 | − | 3.80136i | −0.428278 | − | 0.132106i | ||||
\(829\) | 7.68617 | − | 19.5840i | 0.266952 | − | 0.680182i | −0.733048 | − | 0.680177i | \(-0.761903\pi\) |
1.00000 | 5.16769e-6i | \(-1.64493e-6\pi\) | ||||||||
\(830\) | −29.8073 | + | 27.6571i | −1.03463 | + | 0.959992i | ||||
\(831\) | −9.03980 | + | 6.16323i | −0.313587 | + | 0.213800i | ||||
\(832\) | 10.4847 | 0.363492 | ||||||||
\(833\) | −1.17305 | + | 1.30914i | −0.0406436 | + | 0.0453591i | ||||
\(834\) | −4.16243 | −0.144133 | ||||||||
\(835\) | −11.7384 | + | 8.00313i | −0.406225 | + | 0.276960i | ||||
\(836\) | −18.1985 | + | 16.8857i | −0.629409 | + | 0.584006i | ||||
\(837\) | −2.47363 | + | 6.30271i | −0.0855012 | + | 0.217853i | ||||
\(838\) | −6.53700 | − | 2.01640i | −0.225817 | − | 0.0696552i | ||||
\(839\) | −7.40788 | + | 32.4560i | −0.255748 | + | 1.12051i | 0.669998 | + | 0.742363i | \(0.266295\pi\) |
−0.925747 | + | 0.378144i | \(0.876562\pi\) | |||||||
\(840\) | −3.85298 | + | 9.04470i | −0.132941 | + | 0.312072i | ||||
\(841\) | −8.83374 | − | 38.7031i | −0.304612 | − | 1.33459i | ||||
\(842\) | −0.540265 | + | 7.20934i | −0.0186188 | + | 0.248450i | ||||
\(843\) | −4.26741 | + | 1.31632i | −0.146977 | + | 0.0453366i | ||||
\(844\) | −0.816079 | − | 10.8898i | −0.0280906 | − | 0.374843i | ||||
\(845\) | −0.869333 | − | 2.21502i | −0.0299060 | − | 0.0761992i | ||||
\(846\) | 28.0927 | + | 13.5287i | 0.965848 | + | 0.465128i | ||||
\(847\) | −5.13328 | − | 6.83035i | −0.176382 | − | 0.234694i | ||||
\(848\) | 20.5451 | − | 9.89401i | 0.705522 | − | 0.339762i | ||||
\(849\) | −4.71903 | − | 4.37862i | −0.161957 | − | 0.150274i | ||||
\(850\) | −0.394346 | − | 0.0594381i | −0.0135260 | − | 0.00203871i | ||||
\(851\) | −1.35097 | − | 2.33996i | −0.0463108 | − | 0.0802126i | ||||
\(852\) | 1.27431 | − | 2.20717i | 0.0436572 | − | 0.0756164i | ||||
\(853\) | 28.5722 | − | 35.8284i | 0.978294 | − | 1.22674i | 0.00434195 | − | 0.999991i | \(-0.498618\pi\) |
0.973953 | − | 0.226752i | \(-0.0728107\pi\) | |||||||
\(854\) | −2.21652 | + | 21.3366i | −0.0758478 | + | 0.730122i | ||||
\(855\) | −10.0745 | − | 12.6331i | −0.344542 | − | 0.432042i | ||||
\(856\) | 38.0395 | − | 5.73353i | 1.30016 | − | 0.195968i | ||||
\(857\) | 42.0312 | + | 28.6564i | 1.43576 | + | 0.978884i | 0.996763 | + | 0.0803949i | \(0.0256181\pi\) |
0.438996 | + | 0.898489i | \(0.355334\pi\) | |||||||
\(858\) | 2.05083 | + | 1.39823i | 0.0700143 | + | 0.0477349i | ||||
\(859\) | 26.6968 | − | 4.02390i | 0.910885 | − | 0.137294i | 0.323150 | − | 0.946348i | \(-0.395258\pi\) |
0.587734 | + | 0.809054i | \(0.300020\pi\) | |||||||
\(860\) | 11.8788 | + | 14.8955i | 0.405063 | + | 0.507933i | ||||
\(861\) | 1.11249 | − | 10.7090i | 0.0379137 | − | 0.364962i | ||||
\(862\) | −31.6413 | + | 39.6770i | −1.07771 | + | 1.35140i | ||||
\(863\) | 4.00709 | − | 6.94049i | 0.136403 | − | 0.236257i | −0.789730 | − | 0.613455i | \(-0.789779\pi\) |
0.926133 | + | 0.377198i | \(0.123112\pi\) | |||||||
\(864\) | −2.41240 | − | 4.17840i | −0.0820716 | − | 0.142152i | ||||
\(865\) | −5.14875 | − | 0.776049i | −0.175063 | − | 0.0263865i | ||||
\(866\) | 4.45148 | + | 4.13037i | 0.151267 | + | 0.140356i | ||||
\(867\) | −5.66457 | + | 2.72791i | −0.192379 | + | 0.0926448i | ||||
\(868\) | −18.5648 | − | 24.7023i | −0.630130 | − | 0.838452i | ||||
\(869\) | 10.7038 | + | 5.15468i | 0.363102 | + | 0.174861i | ||||
\(870\) | 6.41590 | + | 16.3475i | 0.217520 | + | 0.554231i | ||||
\(871\) | −0.918369 | − | 12.2548i | −0.0311177 | − | 0.415237i | ||||
\(872\) | −27.9006 | + | 8.60619i | −0.944833 | + | 0.291442i | ||||
\(873\) | 3.49561 | − | 46.6457i | 0.118309 | − | 1.57872i | ||||
\(874\) | −1.52007 | − | 6.65988i | −0.0514173 | − | 0.225274i | ||||
\(875\) | 10.7031 | − | 25.1251i | 0.361832 | − | 0.849383i | ||||
\(876\) | 1.57068 | − | 6.88160i | 0.0530684 | − | 0.232508i | ||||
\(877\) | −12.9466 | − | 3.99349i | −0.437174 | − | 0.134850i | 0.0683526 | − | 0.997661i | \(-0.478226\pi\) |
−0.505527 | + | 0.862811i | \(0.668702\pi\) | |||||||
\(878\) | −0.288862 | + | 0.736008i | −0.00974862 | + | 0.0248391i | ||||
\(879\) | 0.0630938 | − | 0.0585425i | 0.00212810 | − | 0.00197459i | ||||
\(880\) | 14.1573 | − | 9.65226i | 0.477241 | − | 0.325378i | ||||
\(881\) | 28.1306 | 0.947745 | 0.473872 | − | 0.880594i | \(-0.342856\pi\) | ||||
0.473872 | + | 0.880594i | \(0.342856\pi\) | |||||||
\(882\) | 47.9797 | + | 2.75829i | 1.61556 | + | 0.0928763i | ||||
\(883\) | 39.1564 | 1.31772 | 0.658860 | − | 0.752266i | \(-0.271039\pi\) | ||||
0.658860 | + | 0.752266i | \(0.271039\pi\) | |||||||
\(884\) | 0.778835 | − | 0.531001i | 0.0261951 | − | 0.0178595i | ||||
\(885\) | 2.61191 | − | 2.42349i | 0.0877982 | − | 0.0814649i | ||||
\(886\) | −30.8531 | + | 78.6125i | −1.03653 | + | 2.64104i | ||||
\(887\) | 36.7236 | + | 11.3277i | 1.23306 | + | 0.380348i | 0.841728 | − | 0.539902i | \(-0.181539\pi\) |
0.391331 | + | 0.920250i | \(0.372015\pi\) | |||||||
\(888\) | −0.782179 | + | 3.42695i | −0.0262482 | + | 0.115001i | ||||
\(889\) | 26.0531 | + | 4.69547i | 0.873794 | + | 0.157481i | ||||
\(890\) | −6.24441 | − | 27.3586i | −0.209313 | − | 0.917061i | ||||
\(891\) | −1.62045 | + | 21.6234i | −0.0542870 | + | 0.724410i | ||||
\(892\) | 96.2584 | − | 29.6918i | 3.22297 | − | 0.994155i | ||||
\(893\) | 0.805214 | + | 10.7448i | 0.0269455 | + | 0.359562i | ||||
\(894\) | 0.979357 | + | 2.49536i | 0.0327546 | + | 0.0834573i | ||||
\(895\) | −10.7880 | − | 5.19522i | −0.360603 | − | 0.173657i | ||||
\(896\) | 54.7851 | + | 1.57346i | 1.83024 | + | 0.0525656i | ||||
\(897\) | −0.401460 | + | 0.193333i | −0.0134044 | + | 0.00645520i | ||||
\(898\) | −56.0877 | − | 52.0418i | −1.87167 | − | 1.73666i | ||||
\(899\) | −25.5005 | − | 3.84358i | −0.850490 | − | 0.128191i | ||||
\(900\) | 3.55667 | + | 6.16033i | 0.118556 | + | 0.205344i | ||||
\(901\) | −1.10837 | + | 1.91974i | −0.0369250 | + | 0.0639560i | ||||
\(902\) | −45.7026 | + | 57.3093i | −1.52173 | + | 1.90819i | ||||
\(903\) | −1.09909 | + | 1.78340i | −0.0365755 | + | 0.0593479i | ||||
\(904\) | 43.1967 | + | 54.1669i | 1.43670 | + | 1.80156i | ||||
\(905\) | −37.2302 | + | 5.61155i | −1.23757 | + | 0.186534i | ||||
\(906\) | −11.9978 | − | 8.17996i | −0.398600 | − | 0.271761i | ||||
\(907\) | −10.8761 | − | 7.41517i | −0.361133 | − | 0.246217i | 0.369137 | − | 0.929375i | \(-0.379653\pi\) |
−0.730270 | + | 0.683159i | \(0.760606\pi\) | |||||||
\(908\) | −26.1079 | + | 3.93513i | −0.866420 | + | 0.130592i | ||||
\(909\) | −18.0606 | − | 22.6473i | −0.599033 | − | 0.751163i | ||||
\(910\) | −5.11126 | − | 14.2099i | −0.169437 | − | 0.471055i | ||||
\(911\) | 8.89500 | − | 11.1540i | 0.294704 | − | 0.369548i | −0.612331 | − | 0.790601i | \(-0.709768\pi\) |
0.907036 | + | 0.421054i | \(0.138340\pi\) | |||||||
\(912\) | −1.13752 | + | 1.97024i | −0.0376671 | + | 0.0652413i | ||||
\(913\) | 9.92934 | + | 17.1981i | 0.328613 | + | 0.569175i | ||||
\(914\) | 54.7325 | + | 8.24959i | 1.81039 | + | 0.272872i | ||||
\(915\) | −2.18864 | − | 2.03076i | −0.0723543 | − | 0.0671350i | ||||
\(916\) | 58.3352 | − | 28.0928i | 1.92745 | − | 0.928211i | ||||
\(917\) | 5.86782 | − | 22.6855i | 0.193773 | − | 0.749141i | ||||
\(918\) | −1.18098 | − | 0.568729i | −0.0389781 | − | 0.0187709i | ||||
\(919\) | 0.823705 | + | 2.09877i | 0.0271715 | + | 0.0692319i | 0.943816 | − | 0.330472i | \(-0.107208\pi\) |
−0.916644 | + | 0.399704i | \(0.869113\pi\) | |||||||
\(920\) | 0.897926 | + | 11.9820i | 0.0296037 | + | 0.395034i | ||||
\(921\) | −10.4564 | + | 3.22538i | −0.344550 | + | 0.106280i | ||||
\(922\) | −2.31932 | + | 30.9491i | −0.0763827 | + | 1.01926i | ||||
\(923\) | 0.406993 | + | 1.78315i | 0.0133963 | + | 0.0586932i | ||||
\(924\) | 8.32152 | + | 6.03060i | 0.273758 | + | 0.198392i | ||||
\(925\) | −0.331622 | + | 1.45293i | −0.0109037 | + | 0.0477721i | ||||
\(926\) | −65.8065 | − | 20.2986i | −2.16254 | − | 0.667054i | ||||
\(927\) | −18.5861 | + | 47.3567i | −0.610449 | + | 1.55540i | ||||
\(928\) | 13.4712 | − | 12.4994i | 0.442213 | − | 0.410313i | ||||
\(929\) | 21.0484 | − | 14.3506i | 0.690576 | − | 0.470827i | −0.166483 | − | 0.986044i | \(-0.553241\pi\) |
0.857060 | + | 0.515217i | \(0.172289\pi\) | |||||||
\(930\) | 6.59234 | 0.216171 | ||||||||
\(931\) | 7.46462 | + | 14.8354i | 0.244643 | + | 0.486212i | ||||
\(932\) | −42.3328 | −1.38666 | ||||||||
\(933\) | 3.58095 | − | 2.44145i | 0.117235 | − | 0.0799294i | ||||
\(934\) | −4.86756 | + | 4.51643i | −0.159271 | + | 0.147782i | ||||
\(935\) | −0.608536 | + | 1.55052i | −0.0199012 | + | 0.0507076i | ||||
\(936\) | −11.5056 | − | 3.54902i | −0.376074 | − | 0.116003i | ||||
\(937\) | −8.22949 | + | 36.0558i | −0.268846 | + | 1.17789i | 0.642512 | + | 0.766276i | \(0.277892\pi\) |
−0.911358 | + | 0.411615i | \(0.864965\pi\) | |||||||
\(938\) | −3.59313 | − | 77.9085i | −0.117320 | − | 2.54380i | ||||
\(939\) | 0.857194 | + | 3.75561i | 0.0279735 | + | 0.122560i | ||||
\(940\) | 3.03150 | − | 40.4526i | 0.0988767 | − | 1.31942i | ||||
\(941\) | −37.1800 | + | 11.4685i | −1.21203 | + | 0.373863i | −0.833914 | − | 0.551894i | \(-0.813905\pi\) |
−0.378119 | + | 0.925757i | \(0.623429\pi\) | |||||||
\(942\) | 0.470927 | + | 6.28408i | 0.0153436 | + | 0.204746i | ||||
\(943\) | −4.80748 | − | 12.2493i | −0.156553 | − | 0.398891i | ||||
\(944\) | 9.38819 | + | 4.52111i | 0.305560 | + | 0.147150i | ||||
\(945\) | −8.84577 | + | 10.4614i | −0.287753 | + | 0.340310i | ||||
\(946\) | 12.8499 | − | 6.18820i | 0.417787 | − | 0.201196i | ||||
\(947\) | 24.3907 | + | 22.6312i | 0.792590 | + | 0.735416i | 0.968506 | − | 0.248989i | \(-0.0800984\pi\) |
−0.175916 | + | 0.984405i | \(0.556289\pi\) | |||||||
\(948\) | 5.87237 | + | 0.885117i | 0.190726 | + | 0.0287473i | ||||
\(949\) | 2.53278 | + | 4.38691i | 0.0822176 | + | 0.142405i | ||||
\(950\) | −1.88391 | + | 3.26303i | −0.0611221 | + | 0.105867i | ||||
\(951\) | −3.10305 | + | 3.89111i | −0.100623 | + | 0.126178i | ||||
\(952\) | 2.35352 | − | 1.50749i | 0.0762780 | − | 0.0488580i | ||||
\(953\) | −13.5771 | − | 17.0252i | −0.439806 | − | 0.551499i | 0.511686 | − | 0.859172i | \(-0.329021\pi\) |
−0.951492 | + | 0.307673i | \(0.900450\pi\) | |||||||
\(954\) | 59.9291 | − | 9.03286i | 1.94028 | − | 0.292450i | ||||
\(955\) | 23.8968 | + | 16.2926i | 0.773282 | + | 0.527215i | ||||
\(956\) | −28.1243 | − | 19.1748i | −0.909604 | − | 0.620157i | ||||
\(957\) | 8.48095 | − | 1.27830i | 0.274150 | − | 0.0413215i | ||||
\(958\) | −8.84551 | − | 11.0919i | −0.285785 | − | 0.358364i | ||||
\(959\) | −21.9881 | − | 21.6094i | −0.710033 | − | 0.697803i | ||||
\(960\) | −5.77426 | + | 7.24069i | −0.186363 | + | 0.233692i | ||||
\(961\) | 10.6596 | − | 18.4631i | 0.343860 | − | 0.595582i | ||||
\(962\) | −2.69968 | − | 4.67599i | −0.0870412 | − | 0.150760i | ||||
\(963\) | 25.8814 | + | 3.90100i | 0.834018 | + | 0.125708i | ||||
\(964\) | 1.13913 | + | 1.05695i | 0.0366888 | + | 0.0340422i | ||||
\(965\) | 36.5106 | − | 17.5826i | 1.17532 | − | 0.566004i | ||||
\(966\) | −2.58199 | + | 1.15331i | −0.0830740 | + | 0.0371072i | ||||
\(967\) | −23.1469 | − | 11.1470i | −0.744354 | − | 0.358462i | 0.0229575 | − | 0.999736i | \(-0.492692\pi\) |
−0.767312 | + | 0.641274i | \(0.778406\pi\) | |||||||
\(968\) | 4.96330 | + | 12.6463i | 0.159526 | + | 0.406467i | ||||
\(969\) | −0.0165272 | − | 0.220540i | −0.000530929 | − | 0.00708476i | ||||
\(970\) | −89.1364 | + | 27.4949i | −2.86200 | + | 0.882810i | ||||
\(971\) | −0.391398 | + | 5.22284i | −0.0125605 | + | 0.167609i | 0.987396 | + | 0.158270i | \(0.0505917\pi\) |
−0.999956 | + | 0.00933870i | \(0.997027\pi\) | |||||||
\(972\) | 7.86505 | + | 34.4591i | 0.252272 | + | 1.10527i | ||||
\(973\) | 9.30412 | − | 8.14859i | 0.298276 | − | 0.261232i | ||||
\(974\) | 12.5433 | − | 54.9557i | 0.401913 | − | 1.76089i | ||||
\(975\) | 0.234851 | + | 0.0724419i | 0.00752125 | + | 0.00232000i | ||||
\(976\) | 3.18998 | − | 8.12794i | 0.102109 | − | 0.260169i | ||||
\(977\) | 40.4822 | − | 37.5620i | 1.29514 | − | 1.20171i | 0.328814 | − | 0.944395i | \(-0.393351\pi\) |
0.966326 | − | 0.257320i | \(-0.0828395\pi\) | |||||||
\(978\) | 10.7393 | − | 7.32194i | 0.343405 | − | 0.234130i | ||||
\(979\) | −13.7051 | −0.438018 | ||||||||
\(980\) | −19.4648 | − | 59.4178i | −0.621779 | − | 1.89803i | ||||
\(981\) | −19.8657 | −0.634262 | ||||||||
\(982\) | 68.8236 | − | 46.9232i | 2.19625 | − | 1.49738i | ||||
\(983\) | −32.4388 | + | 30.0988i | −1.03464 | + | 0.960003i | −0.999225 | − | 0.0393693i | \(-0.987465\pi\) |
−0.0354129 | + | 0.999373i | \(0.511275\pi\) | |||||||
\(984\) | −6.25427 | + | 15.9356i | −0.199379 | + | 0.508009i | ||||
\(985\) | 56.9708 | + | 17.5731i | 1.81524 | + | 0.559927i | ||||
\(986\) | 1.11095 | − | 4.86738i | 0.0353798 | − | 0.155009i | ||||
\(987\) | 4.29828 | − | 1.19184i | 0.136816 | − | 0.0379365i | ||||
\(988\) | −1.98173 | − | 8.68254i | −0.0630474 | − | 0.276229i | ||||
\(989\) | −0.191335 | + | 2.55319i | −0.00608409 | + | 0.0811866i | ||||
\(990\) | 43.5165 | − | 13.4231i | 1.38305 | − | 0.426613i | ||||
\(991\) | 3.02885 | + | 40.4172i | 0.0962147 | + | 1.28390i | 0.811205 | + | 0.584762i | \(0.198812\pi\) |
−0.714990 | + | 0.699134i | \(0.753569\pi\) | |||||||
\(992\) | −2.52028 | − | 6.42157i | −0.0800190 | − | 0.203885i | ||||
\(993\) | 8.99651 | + | 4.33249i | 0.285496 | + | 0.137487i | ||||
\(994\) | 2.25698 | + | 11.3860i | 0.0715870 | + | 0.361143i | ||||
\(995\) | 54.9318 | − | 26.4537i | 1.74145 | − | 0.838640i | ||||
\(996\) | 7.27692 | + | 6.75199i | 0.230578 | + | 0.213945i | ||||
\(997\) | 47.8427 | + | 7.21112i | 1.51519 | + | 0.228379i | 0.853380 | − | 0.521290i | \(-0.174549\pi\) |
0.661813 | + | 0.749669i | \(0.269787\pi\) | |||||||
\(998\) | 40.8296 | + | 70.7189i | 1.29244 | + | 2.23857i | ||||
\(999\) | −2.44917 | + | 4.24209i | −0.0774884 | + | 0.134214i |
(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 | 637.2.bl.a.625.4 | yes | 324 | |
49.4 | even | 21 | inner | 637.2.bl.a.53.4 | ✓ | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.4 | ✓ | 324 | 49.4 | even | 21 | inner | |
637.2.bl.a.625.4 | yes | 324 | 1.1 | even | 1 | trivial |