Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(31,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.q (of order \(15\), degree \(8\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 61.7 | ||
Character | \(\chi\) | \(=\) | 450.61 |
Dual form | 450.2.q.c.391.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | + | 0.994522i | 0.0739128 | + | 0.703233i | ||||
\(3\) | 0.0496062 | + | 1.73134i | 0.0286401 | + | 0.999590i | ||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | 2.00551 | − | 0.988911i | 0.896890 | − | 0.442255i | ||||
\(6\) | −1.71667 | + | 0.230309i | −0.700828 | + | 0.0940232i | ||||
\(7\) | 0.476155 | − | 0.824725i | 0.179970 | − | 0.311717i | −0.761900 | − | 0.647694i | \(-0.775733\pi\) |
0.941870 | + | 0.335978i | \(0.109067\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | −2.99508 | + | 0.171770i | −0.998359 | + | 0.0572568i | ||||
\(10\) | 1.19313 | + | 1.89115i | 0.377300 | + | 0.598034i | ||||
\(11\) | 0.274950 | + | 2.61597i | 0.0829005 | + | 0.788745i | 0.954437 | + | 0.298414i | \(0.0964576\pi\) |
−0.871536 | + | 0.490331i | \(0.836876\pi\) | |||||||
\(12\) | −0.408488 | − | 1.68319i | −0.117920 | − | 0.485896i | ||||
\(13\) | −0.702834 | + | 6.68702i | −0.194931 | + | 1.85465i | 0.261903 | + | 0.965094i | \(0.415650\pi\) |
−0.456834 | + | 0.889552i | \(0.651017\pi\) | |||||||
\(14\) | 0.869979 | + | 0.387340i | 0.232512 | + | 0.103521i | ||||
\(15\) | 1.81163 | + | 3.42316i | 0.467760 | + | 0.883855i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 1.79610 | + | 5.52784i | 0.435619 | + | 1.34070i | 0.892451 | + | 0.451145i | \(0.148984\pi\) |
−0.456831 | + | 0.889553i | \(0.651016\pi\) | |||||||
\(18\) | −0.483900 | − | 2.96072i | −0.114056 | − | 0.697848i | ||||
\(19\) | −0.0188855 | − | 0.0581237i | −0.00433264 | − | 0.0133345i | 0.948867 | − | 0.315677i | \(-0.102231\pi\) |
−0.953199 | + | 0.302342i | \(0.902231\pi\) | |||||||
\(20\) | −1.75607 | + | 1.38427i | −0.392670 | + | 0.309532i | ||||
\(21\) | 1.45150 | + | 0.783475i | 0.316743 | + | 0.170968i | ||||
\(22\) | −2.57290 | + | 0.546887i | −0.548544 | + | 0.116597i | ||||
\(23\) | −2.02271 | − | 0.900568i | −0.421764 | − | 0.187781i | 0.184870 | − | 0.982763i | \(-0.440814\pi\) |
−0.606633 | + | 0.794982i | \(0.707480\pi\) | |||||||
\(24\) | 1.63127 | − | 0.582192i | 0.332982 | − | 0.118839i | ||||
\(25\) | 3.04411 | − | 3.96654i | 0.608822 | − | 0.793307i | ||||
\(26\) | −6.72386 | −1.31866 | ||||||||
\(27\) | −0.445967 | − | 5.17698i | −0.0858265 | − | 0.996310i | ||||
\(28\) | −0.294280 | + | 0.905701i | −0.0556137 | + | 0.171161i | ||||
\(29\) | −5.25885 | − | 5.84055i | −0.976544 | − | 1.08456i | −0.996401 | − | 0.0847592i | \(-0.972988\pi\) |
0.0198574 | − | 0.999803i | \(-0.493679\pi\) | |||||||
\(30\) | −3.21504 | + | 2.15952i | −0.586983 | + | 0.394273i | ||||
\(31\) | 3.19590 | − | 3.54941i | 0.574001 | − | 0.637493i | −0.384315 | − | 0.923202i | \(-0.625562\pi\) |
0.958316 | + | 0.285709i | \(0.0922291\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −4.51550 | + | 0.605800i | −0.786048 | + | 0.105456i | ||||
\(34\) | −5.30982 | + | 2.36408i | −0.910626 | + | 0.405437i | ||||
\(35\) | 0.139352 | − | 2.12487i | 0.0235548 | − | 0.359168i | ||||
\(36\) | 2.89392 | − | 0.790729i | 0.482319 | − | 0.131788i | ||||
\(37\) | 6.28202 | + | 4.56415i | 1.03276 | + | 0.750342i | 0.968859 | − | 0.247615i | \(-0.0796467\pi\) |
0.0638984 | + | 0.997956i | \(0.479647\pi\) | |||||||
\(38\) | 0.0558312 | − | 0.0248577i | 0.00905702 | − | 0.00403244i | ||||
\(39\) | −11.6124 | − | 0.885128i | −1.85947 | − | 0.141734i | ||||
\(40\) | −1.56025 | − | 1.60176i | −0.246697 | − | 0.253260i | ||||
\(41\) | −0.479577 | + | 4.56287i | −0.0748973 | + | 0.712600i | 0.891058 | + | 0.453890i | \(0.149964\pi\) |
−0.965955 | + | 0.258710i | \(0.916703\pi\) | |||||||
\(42\) | −0.627460 | + | 1.52544i | −0.0968192 | + | 0.235381i | ||||
\(43\) | 4.60441 | − | 7.97507i | 0.702166 | − | 1.21619i | −0.265539 | − | 0.964100i | \(-0.585550\pi\) |
0.967705 | − | 0.252086i | \(-0.0811167\pi\) | |||||||
\(44\) | −0.812833 | − | 2.50164i | −0.122539 | − | 0.377137i | ||||
\(45\) | −5.83678 | + | 3.30635i | −0.870096 | + | 0.492882i | ||||
\(46\) | 0.684204 | − | 2.10576i | 0.100880 | − | 0.310478i | ||||
\(47\) | −1.80893 | − | 2.00902i | −0.263860 | − | 0.293046i | 0.596627 | − | 0.802519i | \(-0.296507\pi\) |
−0.860487 | + | 0.509473i | \(0.829840\pi\) | |||||||
\(48\) | 0.749517 | + | 1.56148i | 0.108183 | + | 0.225380i | ||||
\(49\) | 3.04655 | + | 5.27678i | 0.435222 | + | 0.753826i | ||||
\(50\) | 4.26300 | + | 2.61282i | 0.602880 | + | 0.369508i | ||||
\(51\) | −9.48148 | + | 3.38388i | −1.32767 | + | 0.473838i | ||||
\(52\) | −0.702834 | − | 6.68702i | −0.0974656 | − | 0.927323i | ||||
\(53\) | 1.84653 | − | 5.68302i | 0.253640 | − | 0.780623i | −0.740455 | − | 0.672106i | \(-0.765390\pi\) |
0.994095 | − | 0.108517i | \(-0.0346101\pi\) | |||||||
\(54\) | 5.10200 | − | 0.984666i | 0.694295 | − | 0.133996i | ||||
\(55\) | 3.13838 | + | 4.97445i | 0.423179 | + | 0.670754i | ||||
\(56\) | −0.931500 | − | 0.197996i | −0.124477 | − | 0.0264584i | ||||
\(57\) | 0.0996951 | − | 0.0355806i | 0.0132049 | − | 0.00471276i | ||||
\(58\) | 5.25885 | − | 5.84055i | 0.690521 | − | 0.766901i | ||||
\(59\) | −0.406093 | + | 3.86371i | −0.0528688 | + | 0.503013i | 0.935760 | + | 0.352637i | \(0.114715\pi\) |
−0.988629 | + | 0.150376i | \(0.951952\pi\) | |||||||
\(60\) | −2.48375 | − | 2.97169i | −0.320651 | − | 0.383644i | ||||
\(61\) | −0.0172216 | − | 0.163853i | −0.00220500 | − | 0.0209792i | 0.993364 | − | 0.115012i | \(-0.0366907\pi\) |
−0.995569 | + | 0.0940330i | \(0.970024\pi\) | |||||||
\(62\) | 3.86403 | + | 2.80738i | 0.490732 | + | 0.356538i | ||||
\(63\) | −1.28446 | + | 2.55191i | −0.161827 | + | 0.321510i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 5.20333 | + | 14.1059i | 0.645394 | + | 1.74962i | ||||
\(66\) | −1.07448 | − | 4.42744i | −0.132259 | − | 0.544980i | ||||
\(67\) | 9.28238 | − | 10.3091i | 1.13402 | − | 1.25946i | 0.172419 | − | 0.985024i | \(-0.444842\pi\) |
0.961605 | − | 0.274437i | \(-0.0884916\pi\) | |||||||
\(68\) | −2.90616 | − | 5.03361i | −0.352423 | − | 0.610415i | ||||
\(69\) | 1.45885 | − | 3.54667i | 0.175625 | − | 0.426969i | ||||
\(70\) | 2.12779 | − | 0.0835203i | 0.254320 | − | 0.00998258i | ||||
\(71\) | −0.0180780 | + | 0.0556382i | −0.00214546 | + | 0.00660305i | −0.952124 | − | 0.305714i | \(-0.901105\pi\) |
0.949978 | + | 0.312317i | \(0.101105\pi\) | |||||||
\(72\) | 1.08889 | + | 2.79541i | 0.128327 | + | 0.329442i | ||||
\(73\) | 6.78188 | − | 4.92732i | 0.793759 | − | 0.576699i | −0.115318 | − | 0.993329i | \(-0.536789\pi\) |
0.909076 | + | 0.416629i | \(0.136789\pi\) | |||||||
\(74\) | −3.88250 | + | 6.72469i | −0.451331 | + | 0.781729i | ||||
\(75\) | 7.01843 | + | 5.07362i | 0.810418 | + | 0.585852i | ||||
\(76\) | 0.0305574 | + | 0.0529270i | 0.00350518 | + | 0.00607115i | ||||
\(77\) | 2.28838 | + | 1.01885i | 0.260785 | + | 0.116109i | ||||
\(78\) | −0.333545 | − | 11.6413i | −0.0377665 | − | 1.31812i | ||||
\(79\) | −10.4688 | − | 11.6268i | −1.17784 | − | 1.30812i | −0.941721 | − | 0.336396i | \(-0.890792\pi\) |
−0.236117 | − | 0.971725i | \(-0.575875\pi\) | |||||||
\(80\) | 1.42989 | − | 1.71913i | 0.159867 | − | 0.192204i | ||||
\(81\) | 8.94099 | − | 1.02893i | 0.993443 | − | 0.114326i | ||||
\(82\) | −4.58800 | −0.506660 | ||||||||
\(83\) | −8.76046 | − | 1.86209i | −0.961586 | − | 0.204391i | −0.299731 | − | 0.954024i | \(-0.596897\pi\) |
−0.661854 | + | 0.749632i | \(0.730230\pi\) | |||||||
\(84\) | −1.58268 | − | 0.464571i | −0.172684 | − | 0.0506888i | ||||
\(85\) | 9.06864 | + | 9.30993i | 0.983633 | + | 1.00980i | ||||
\(86\) | 8.41267 | + | 3.74556i | 0.907162 | + | 0.403894i | ||||
\(87\) | 9.85110 | − | 9.39459i | 1.05615 | − | 1.00721i | ||||
\(88\) | 2.40297 | − | 1.06987i | 0.256158 | − | 0.114049i | ||||
\(89\) | −13.6870 | + | 9.94420i | −1.45082 | + | 1.05408i | −0.465182 | + | 0.885215i | \(0.654011\pi\) |
−0.985639 | + | 0.168868i | \(0.945989\pi\) | |||||||
\(90\) | −3.89835 | − | 5.45920i | −0.410922 | − | 0.575450i | ||||
\(91\) | 5.18030 | + | 3.76371i | 0.543043 | + | 0.394544i | ||||
\(92\) | 2.16575 | + | 0.460344i | 0.225795 | + | 0.0479941i | ||||
\(93\) | 6.30377 | + | 5.35712i | 0.653671 | + | 0.555508i | ||||
\(94\) | 1.80893 | − | 2.00902i | 0.186577 | − | 0.207215i | ||||
\(95\) | −0.0953542 | − | 0.0978913i | −0.00978314 | − | 0.0100434i | ||||
\(96\) | −1.47458 | + | 0.908630i | −0.150499 | + | 0.0927367i | ||||
\(97\) | 8.20744 | + | 9.11528i | 0.833339 | + | 0.925517i | 0.998149 | − | 0.0608084i | \(-0.0193679\pi\) |
−0.164810 | + | 0.986325i | \(0.552701\pi\) | |||||||
\(98\) | −4.92943 | + | 3.58144i | −0.497947 | + | 0.361780i | ||||
\(99\) | −1.27284 | − | 7.78781i | −0.127926 | − | 0.782705i | ||||
\(100\) | −2.15290 | + | 4.51276i | −0.215290 | + | 0.451276i | ||||
\(101\) | 5.62594 | − | 9.74441i | 0.559802 | − | 0.969605i | −0.437711 | − | 0.899116i | \(-0.644211\pi\) |
0.997513 | − | 0.0704891i | \(-0.0224560\pi\) | |||||||
\(102\) | −4.35643 | − | 9.07582i | −0.431351 | − | 0.898640i | ||||
\(103\) | 5.85342 | − | 1.24418i | 0.576755 | − | 0.122593i | 0.0897069 | − | 0.995968i | \(-0.471407\pi\) |
0.487048 | + | 0.873375i | \(0.338074\pi\) | |||||||
\(104\) | 6.57692 | − | 1.39797i | 0.644920 | − | 0.137082i | ||||
\(105\) | 3.68578 | + | 0.135859i | 0.359695 | + | 0.0132585i | ||||
\(106\) | 5.84490 | + | 1.24237i | 0.567707 | + | 0.120670i | ||||
\(107\) | 5.74922 | 0.555798 | 0.277899 | − | 0.960610i | \(-0.410362\pi\) | ||||
0.277899 | + | 0.960610i | \(0.410362\pi\) | |||||||
\(108\) | 1.51258 | + | 4.97113i | 0.145548 | + | 0.478347i | ||||
\(109\) | −7.20205 | − | 5.23260i | −0.689831 | − | 0.501192i | 0.186773 | − | 0.982403i | \(-0.440197\pi\) |
−0.876605 | + | 0.481211i | \(0.840197\pi\) | |||||||
\(110\) | −4.61915 | + | 3.64116i | −0.440418 | + | 0.347171i | ||||
\(111\) | −7.59047 | + | 11.1027i | −0.720456 | + | 1.05382i | ||||
\(112\) | 0.0995436 | − | 0.947094i | 0.00940598 | − | 0.0894919i | ||||
\(113\) | 0.482759 | − | 4.59314i | 0.0454141 | − | 0.432086i | −0.948065 | − | 0.318076i | \(-0.896963\pi\) |
0.993479 | − | 0.114011i | \(-0.0363699\pi\) | |||||||
\(114\) | 0.0458066 | + | 0.0954297i | 0.00429018 | + | 0.00893781i | ||||
\(115\) | −4.94714 | + | 0.194185i | −0.461323 | + | 0.0181079i | ||||
\(116\) | 6.35825 | + | 4.61954i | 0.590349 | + | 0.428913i | ||||
\(117\) | 0.956411 | − | 20.1489i | 0.0884203 | − | 1.86276i | ||||
\(118\) | −3.88500 | −0.357643 | ||||||||
\(119\) | 5.41417 | + | 1.15082i | 0.496317 | + | 0.105495i | ||||
\(120\) | 2.69579 | − | 2.78077i | 0.246091 | − | 0.253849i | ||||
\(121\) | 3.99191 | − | 0.848507i | 0.362901 | − | 0.0771370i | ||||
\(122\) | 0.161155 | − | 0.0342546i | 0.0145903 | − | 0.00310126i | ||||
\(123\) | −7.92367 | − | 0.603964i | −0.714453 | − | 0.0544576i | ||||
\(124\) | −2.38810 | + | 4.13631i | −0.214458 | + | 0.371452i | ||||
\(125\) | 2.18243 | − | 10.9653i | 0.195202 | − | 0.980763i | ||||
\(126\) | −2.67219 | − | 1.01068i | −0.238057 | − | 0.0900382i | ||||
\(127\) | −10.7940 | + | 7.84230i | −0.957813 | + | 0.695892i | −0.952642 | − | 0.304095i | \(-0.901646\pi\) |
−0.00517113 | + | 0.999987i | \(0.501646\pi\) | |||||||
\(128\) | −0.669131 | − | 0.743145i | −0.0591433 | − | 0.0656853i | ||||
\(129\) | 14.0360 | + | 7.57618i | 1.23580 | + | 0.667046i | ||||
\(130\) | −13.4847 | + | 6.64930i | −1.18269 | + | 0.583182i | ||||
\(131\) | −4.95348 | + | 5.50140i | −0.432788 | + | 0.480659i | −0.919605 | − | 0.392844i | \(-0.871491\pi\) |
0.486817 | + | 0.873504i | \(0.338158\pi\) | |||||||
\(132\) | 4.29087 | − | 1.53139i | 0.373472 | − | 0.133290i | ||||
\(133\) | −0.0569285 | − | 0.0121005i | −0.00493633 | − | 0.00104925i | ||||
\(134\) | 11.2229 | + | 8.15394i | 0.969514 | + | 0.704393i | ||||
\(135\) | −6.01396 | − | 9.94144i | −0.517600 | − | 0.855623i | ||||
\(136\) | 4.70226 | − | 3.41639i | 0.403216 | − | 0.292953i | ||||
\(137\) | −0.0116576 | + | 0.00519028i | −0.000995973 | + | 0.000443436i | −0.407235 | − | 0.913324i | \(-0.633507\pi\) |
0.406239 | + | 0.913767i | \(0.366840\pi\) | |||||||
\(138\) | 3.67973 | + | 1.08013i | 0.313240 | + | 0.0919469i | ||||
\(139\) | 2.25023 | + | 1.00187i | 0.190862 | + | 0.0849774i | 0.499943 | − | 0.866059i | \(-0.333354\pi\) |
−0.309080 | + | 0.951036i | \(0.600021\pi\) | |||||||
\(140\) | 0.305478 | + | 2.10741i | 0.0258176 | + | 0.178108i | ||||
\(141\) | 3.38856 | − | 3.23153i | 0.285369 | − | 0.272144i | ||||
\(142\) | −0.0572231 | − | 0.0121631i | −0.00480206 | − | 0.00102071i | ||||
\(143\) | −17.6863 | −1.47900 | ||||||||
\(144\) | −2.66627 | + | 1.37513i | −0.222190 | + | 0.114594i | ||||
\(145\) | −16.3224 | − | 6.51271i | −1.35550 | − | 0.540851i | ||||
\(146\) | 5.60923 | + | 6.22968i | 0.464223 | + | 0.515572i | ||||
\(147\) | −8.98478 | + | 5.53638i | −0.741052 | + | 0.456633i | ||||
\(148\) | −7.09368 | − | 3.15831i | −0.583097 | − | 0.259611i | ||||
\(149\) | 5.30829 | + | 9.19424i | 0.434872 | + | 0.753221i | 0.997285 | − | 0.0736355i | \(-0.0234601\pi\) |
−0.562413 | + | 0.826857i | \(0.690127\pi\) | |||||||
\(150\) | −4.31220 | + | 7.51032i | −0.352090 | + | 0.613215i | ||||
\(151\) | 7.32367 | − | 12.6850i | 0.595992 | − | 1.03229i | −0.397415 | − | 0.917639i | \(-0.630093\pi\) |
0.993406 | − | 0.114648i | \(-0.0365741\pi\) | |||||||
\(152\) | −0.0494430 | + | 0.0359224i | −0.00401035 | + | 0.00291369i | ||||
\(153\) | −6.32899 | − | 16.2478i | −0.511669 | − | 1.31356i | ||||
\(154\) | −0.774069 | + | 2.38234i | −0.0623763 | + | 0.191974i | ||||
\(155\) | 2.89935 | − | 10.2788i | 0.232881 | − | 0.825615i | ||||
\(156\) | 11.5426 | − | 1.54856i | 0.924151 | − | 0.123984i | ||||
\(157\) | 0.821722 | + | 1.42326i | 0.0655805 | + | 0.113589i | 0.896951 | − | 0.442129i | \(-0.145777\pi\) |
−0.831371 | + | 0.555718i | \(0.812443\pi\) | |||||||
\(158\) | 10.4688 | − | 11.6268i | 0.832857 | − | 0.924981i | ||||
\(159\) | 9.93084 | + | 2.91505i | 0.787567 | + | 0.231179i | ||||
\(160\) | 1.85918 | + | 1.24236i | 0.146981 | + | 0.0982175i | ||||
\(161\) | −1.70584 | + | 1.23937i | −0.134439 | + | 0.0976759i | ||||
\(162\) | 1.95788 | + | 8.78446i | 0.153826 | + | 0.690172i | ||||
\(163\) | 19.1887 | + | 13.9414i | 1.50298 | + | 1.09198i | 0.969176 | + | 0.246369i | \(0.0792375\pi\) |
0.533803 | + | 0.845609i | \(0.320763\pi\) | |||||||
\(164\) | −0.479577 | − | 4.56287i | −0.0374487 | − | 0.356300i | ||||
\(165\) | −8.45678 | + | 5.68036i | −0.658359 | + | 0.442216i | ||||
\(166\) | 0.936175 | − | 8.90711i | 0.0726613 | − | 0.691326i | ||||
\(167\) | 0.361445 | − | 0.401425i | 0.0279694 | − | 0.0310632i | −0.728998 | − | 0.684516i | \(-0.760014\pi\) |
0.756967 | + | 0.653453i | \(0.226680\pi\) | |||||||
\(168\) | 0.296591 | − | 1.62257i | 0.0228825 | − | 0.125184i | ||||
\(169\) | −31.5064 | − | 6.69689i | −2.42357 | − | 0.515145i | ||||
\(170\) | −8.31100 | + | 9.99212i | −0.637424 | + | 0.766360i | ||||
\(171\) | 0.0665476 | + | 0.170841i | 0.00508902 | + | 0.0130645i | ||||
\(172\) | −2.84568 | + | 8.75810i | −0.216981 | + | 0.667799i | ||||
\(173\) | −1.62490 | − | 15.4599i | −0.123539 | − | 1.17539i | −0.864070 | − | 0.503371i | \(-0.832093\pi\) |
0.740532 | − | 0.672021i | \(-0.234574\pi\) | |||||||
\(174\) | 10.3728 | + | 8.81513i | 0.786363 | + | 0.668273i | ||||
\(175\) | −1.82183 | − | 4.39924i | −0.137718 | − | 0.332551i | ||||
\(176\) | 1.31519 | + | 2.27798i | 0.0991362 | + | 0.171709i | ||||
\(177\) | −6.70955 | − | 0.511420i | −0.504320 | − | 0.0384407i | ||||
\(178\) | −11.3204 | − | 12.5726i | −0.848500 | − | 0.942355i | ||||
\(179\) | 4.85744 | − | 14.9497i | 0.363062 | − | 1.11739i | −0.588123 | − | 0.808771i | \(-0.700133\pi\) |
0.951186 | − | 0.308619i | \(-0.0998669\pi\) | |||||||
\(180\) | 5.02180 | − | 4.44764i | 0.374303 | − | 0.331507i | ||||
\(181\) | −1.13646 | − | 3.49766i | −0.0844723 | − | 0.259979i | 0.899895 | − | 0.436107i | \(-0.143643\pi\) |
−0.984367 | + | 0.176127i | \(0.943643\pi\) | |||||||
\(182\) | −3.20160 | + | 5.54533i | −0.237318 | + | 0.411047i | ||||
\(183\) | 0.282831 | − | 0.0379446i | 0.0209074 | − | 0.00280495i | ||||
\(184\) | −0.231440 | + | 2.20200i | −0.0170620 | + | 0.162334i | ||||
\(185\) | 17.1122 | + | 2.94108i | 1.25811 | + | 0.216232i | ||||
\(186\) | −4.66885 | + | 6.82921i | −0.342337 | + | 0.500742i | ||||
\(187\) | −13.9668 | + | 6.21844i | −1.02136 | + | 0.454737i | ||||
\(188\) | 2.18710 | + | 1.58902i | 0.159511 | + | 0.115891i | ||||
\(189\) | −4.48193 | − | 2.09725i | −0.326013 | − | 0.152552i | ||||
\(190\) | 0.0873878 | − | 0.105064i | 0.00633978 | − | 0.00762217i | ||||
\(191\) | 13.1436 | − | 5.85191i | 0.951038 | − | 0.423429i | 0.128227 | − | 0.991745i | \(-0.459071\pi\) |
0.822811 | + | 0.568316i | \(0.192405\pi\) | |||||||
\(192\) | −1.05779 | − | 1.37153i | −0.0763393 | − | 0.0989814i | ||||
\(193\) | 0.258732 | + | 0.448137i | 0.0186239 | + | 0.0322576i | 0.875187 | − | 0.483784i | \(-0.160738\pi\) |
−0.856563 | + | 0.516042i | \(0.827405\pi\) | |||||||
\(194\) | −8.20744 | + | 9.11528i | −0.589260 | + | 0.654439i | ||||
\(195\) | −24.1640 | + | 9.70848i | −1.73042 | + | 0.695239i | ||||
\(196\) | −4.07708 | − | 4.52806i | −0.291220 | − | 0.323433i | ||||
\(197\) | 1.41301 | − | 4.34879i | 0.100673 | − | 0.309838i | −0.888018 | − | 0.459809i | \(-0.847918\pi\) |
0.988690 | + | 0.149971i | \(0.0479179\pi\) | |||||||
\(198\) | 7.61210 | − | 2.07992i | 0.540969 | − | 0.147813i | ||||
\(199\) | −7.80772 | −0.553475 | −0.276737 | − | 0.960946i | \(-0.589253\pi\) | ||||
−0.276737 | + | 0.960946i | \(0.589253\pi\) | |||||||
\(200\) | −4.71308 | − | 1.66939i | −0.333265 | − | 0.118044i | ||||
\(201\) | 18.3091 | + | 15.5596i | 1.29142 | + | 1.09749i | ||||
\(202\) | 10.2791 | + | 4.57655i | 0.723235 | + | 0.322005i | ||||
\(203\) | −7.32087 | + | 1.55610i | −0.513825 | + | 0.109217i | ||||
\(204\) | 8.57073 | − | 5.28125i | 0.600071 | − | 0.369761i | ||||
\(205\) | 3.55048 | + | 9.62512i | 0.247976 | + | 0.672248i | ||||
\(206\) | 1.84922 | + | 5.69131i | 0.128841 | + | 0.396532i | ||||
\(207\) | 6.21286 | + | 2.34983i | 0.431824 | + | 0.163324i | ||||
\(208\) | 2.07779 | + | 6.39477i | 0.144069 | + | 0.443397i | ||||
\(209\) | 0.146857 | − | 0.0653851i | 0.0101583 | − | 0.00452278i | ||||
\(210\) | 0.250154 | + | 3.67979i | 0.0172622 | + | 0.253930i | ||||
\(211\) | 1.68735 | + | 0.751255i | 0.116162 | + | 0.0517185i | 0.463995 | − | 0.885838i | \(-0.346416\pi\) |
−0.347833 | + | 0.937557i | \(0.613082\pi\) | |||||||
\(212\) | −0.624608 | + | 5.94275i | −0.0428982 | + | 0.408150i | ||||
\(213\) | −0.0972255 | − | 0.0285391i | −0.00666178 | − | 0.00195547i | ||||
\(214\) | 0.600957 | + | 5.71772i | 0.0410806 | + | 0.390856i | ||||
\(215\) | 1.34753 | − | 20.5474i | 0.0919009 | − | 1.40132i | ||||
\(216\) | −4.78579 | + | 2.02391i | −0.325632 | + | 0.137710i | ||||
\(217\) | −1.40554 | − | 4.32581i | −0.0954144 | − | 0.293655i | ||||
\(218\) | 4.45111 | − | 7.70955i | 0.301467 | − | 0.522157i | ||||
\(219\) | 8.86729 | + | 11.4973i | 0.599196 | + | 0.776916i | ||||
\(220\) | −4.10404 | − | 4.21324i | −0.276695 | − | 0.284056i | ||||
\(221\) | −38.2272 | + | 8.12543i | −2.57144 | + | 0.546576i | ||||
\(222\) | −11.8353 | − | 6.38834i | −0.794334 | − | 0.428757i | ||||
\(223\) | 1.77059 | + | 16.8460i | 0.118567 | + | 1.12809i | 0.878384 | + | 0.477955i | \(0.158622\pi\) |
−0.759817 | + | 0.650137i | \(0.774712\pi\) | |||||||
\(224\) | 0.952311 | 0.0636289 | ||||||||
\(225\) | −8.43601 | + | 12.4030i | −0.562401 | + | 0.826865i | ||||
\(226\) | 4.61844 | 0.307214 | ||||||||
\(227\) | −0.584394 | − | 5.56014i | −0.0387876 | − | 0.369039i | −0.996648 | − | 0.0818060i | \(-0.973931\pi\) |
0.957861 | − | 0.287233i | \(-0.0927355\pi\) | |||||||
\(228\) | −0.0901189 | + | 0.0555308i | −0.00596827 | + | 0.00367762i | ||||
\(229\) | 11.6475 | − | 2.47575i | 0.769686 | − | 0.163602i | 0.193700 | − | 0.981061i | \(-0.437951\pi\) |
0.575987 | + | 0.817459i | \(0.304618\pi\) | |||||||
\(230\) | −0.710238 | − | 4.89974i | −0.0468317 | − | 0.323079i | ||||
\(231\) | −1.65046 | + | 4.01250i | −0.108592 | + | 0.264003i | ||||
\(232\) | −3.92961 | + | 6.80629i | −0.257992 | + | 0.446855i | ||||
\(233\) | 6.01901 | + | 18.5246i | 0.394319 | + | 1.21359i | 0.929491 | + | 0.368845i | \(0.120247\pi\) |
−0.535172 | + | 0.844743i | \(0.679753\pi\) | |||||||
\(234\) | 20.1385 | − | 1.15496i | 1.31649 | − | 0.0755021i | ||||
\(235\) | −5.61456 | − | 2.24023i | −0.366254 | − | 0.146137i | ||||
\(236\) | −0.406093 | − | 3.86371i | −0.0264344 | − | 0.251506i | ||||
\(237\) | 19.6107 | − | 18.7019i | 1.27385 | − | 1.21482i | ||||
\(238\) | −0.578579 | + | 5.50481i | −0.0375037 | + | 0.356824i | ||||
\(239\) | −9.44284 | − | 4.20422i | −0.610807 | − | 0.271949i | 0.0779317 | − | 0.996959i | \(-0.475168\pi\) |
−0.688738 | + | 0.725010i | \(0.741835\pi\) | |||||||
\(240\) | 3.04733 | + | 2.39035i | 0.196704 | + | 0.154297i | ||||
\(241\) | −13.1534 | + | 5.85627i | −0.847285 | + | 0.377236i | −0.784001 | − | 0.620760i | \(-0.786824\pi\) |
−0.0632844 | + | 0.997996i | \(0.520158\pi\) | |||||||
\(242\) | 1.26113 | + | 3.88135i | 0.0810683 | + | 0.249503i | ||||
\(243\) | 2.22496 | + | 15.4289i | 0.142731 | + | 0.989761i | ||||
\(244\) | 0.0509122 | + | 0.156692i | 0.00325932 | + | 0.0100312i | ||||
\(245\) | 11.3282 | + | 7.56985i | 0.723729 | + | 0.483620i | ||||
\(246\) | −0.227593 | − | 7.94339i | −0.0145108 | − | 0.506452i | ||||
\(247\) | 0.401948 | − | 0.0854366i | 0.0255753 | − | 0.00543620i | ||||
\(248\) | −4.36328 | − | 1.94266i | −0.277068 | − | 0.123359i | ||||
\(249\) | 2.78934 | − | 15.2597i | 0.176768 | − | 0.967045i | ||||
\(250\) | 11.1333 | + | 1.02429i | 0.704133 | + | 0.0647816i | ||||
\(251\) | −20.0250 | −1.26397 | −0.631984 | − | 0.774982i | \(-0.717759\pi\) | ||||
−0.631984 | + | 0.774982i | \(0.717759\pi\) | |||||||
\(252\) | 0.725819 | − | 2.76319i | 0.0457223 | − | 0.174065i | ||||
\(253\) | 1.79972 | − | 5.53896i | 0.113147 | − | 0.348232i | ||||
\(254\) | −8.92762 | − | 9.91513i | −0.560169 | − | 0.622131i | ||||
\(255\) | −15.6688 | + | 16.1627i | −0.981218 | + | 1.01215i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −0.207727 | − | 0.359793i | −0.0129576 | − | 0.0224433i | 0.859474 | − | 0.511180i | \(-0.170791\pi\) |
−0.872432 | + | 0.488736i | \(0.837458\pi\) | |||||||
\(258\) | −6.06752 | + | 14.7510i | −0.377748 | + | 0.918357i | ||||
\(259\) | 6.75539 | − | 3.00769i | 0.419759 | − | 0.186889i | ||||
\(260\) | −8.02241 | − | 12.7158i | −0.497529 | − | 0.788602i | ||||
\(261\) | 16.7539 | + | 16.5896i | 1.03704 | + | 1.02687i | ||||
\(262\) | −5.98904 | − | 4.35129i | −0.370004 | − | 0.268824i | ||||
\(263\) | −16.0913 | + | 7.16429i | −0.992229 | + | 0.441769i | −0.837648 | − | 0.546211i | \(-0.816070\pi\) |
−0.154582 | + | 0.987980i | \(0.549403\pi\) | |||||||
\(264\) | 1.97152 | + | 4.10729i | 0.121338 | + | 0.252786i | ||||
\(265\) | −1.91679 | − | 13.2234i | −0.117747 | − | 0.812306i | ||||
\(266\) | 0.00608359 | − | 0.0578815i | 0.000373009 | − | 0.00354894i | ||||
\(267\) | −17.8958 | − | 23.2036i | −1.09520 | − | 1.42004i | ||||
\(268\) | −6.93615 | + | 12.0138i | −0.423693 | + | 0.733858i | ||||
\(269\) | 2.84652 | + | 8.76068i | 0.173555 | + | 0.534148i | 0.999565 | − | 0.0295083i | \(-0.00939413\pi\) |
−0.826009 | + | 0.563657i | \(0.809394\pi\) | |||||||
\(270\) | 9.25835 | − | 7.02018i | 0.563445 | − | 0.427235i | ||||
\(271\) | −3.85947 | + | 11.8782i | −0.234446 | + | 0.721552i | 0.762748 | + | 0.646696i | \(0.223850\pi\) |
−0.997194 | + | 0.0748559i | \(0.976150\pi\) | |||||||
\(272\) | 3.88920 | + | 4.31939i | 0.235817 | + | 0.261902i | ||||
\(273\) | −6.25928 | + | 9.15556i | −0.378829 | + | 0.554120i | ||||
\(274\) | −0.00638039 | − | 0.0110512i | −0.000385454 | − | 0.000667625i | ||||
\(275\) | 11.2133 | + | 6.87271i | 0.676189 | + | 0.414440i | ||||
\(276\) | −0.689577 | + | 3.77248i | −0.0415077 | + | 0.227077i | ||||
\(277\) | −1.33492 | − | 12.7009i | −0.0802076 | − | 0.763124i | −0.958518 | − | 0.285033i | \(-0.907995\pi\) |
0.878310 | − | 0.478091i | \(-0.158671\pi\) | |||||||
\(278\) | −0.761167 | + | 2.34263i | −0.0456518 | + | 0.140502i | ||||
\(279\) | −8.96230 | + | 11.1797i | −0.536559 | + | 0.669313i | ||||
\(280\) | −2.06393 | + | 0.524088i | −0.123343 | + | 0.0313203i | ||||
\(281\) | 4.17778 | + | 0.888014i | 0.249225 | + | 0.0529745i | 0.330830 | − | 0.943690i | \(-0.392671\pi\) |
−0.0816050 | + | 0.996665i | \(0.526005\pi\) | |||||||
\(282\) | 3.56803 | + | 3.03221i | 0.212473 | + | 0.180566i | ||||
\(283\) | −8.49475 | + | 9.43437i | −0.504960 | + | 0.560815i | −0.940692 | − | 0.339261i | \(-0.889823\pi\) |
0.435732 | + | 0.900077i | \(0.356490\pi\) | |||||||
\(284\) | 0.00611507 | − | 0.0581810i | 0.000362863 | − | 0.00345241i | ||||
\(285\) | 0.164753 | − | 0.169947i | 0.00975912 | − | 0.0100668i | ||||
\(286\) | −1.84872 | − | 17.5894i | −0.109317 | − | 1.04008i | ||||
\(287\) | 3.53476 | + | 2.56815i | 0.208650 | + | 0.151593i | ||||
\(288\) | −1.64630 | − | 2.50793i | −0.0970090 | − | 0.147781i | ||||
\(289\) | −13.5778 | + | 9.86481i | −0.798691 | + | 0.580283i | ||||
\(290\) | 4.77087 | − | 16.9138i | 0.280155 | − | 0.993212i | ||||
\(291\) | −15.3745 | + | 14.6620i | −0.901270 | + | 0.859504i | ||||
\(292\) | −5.60923 | + | 6.22968i | −0.328255 | + | 0.364564i | ||||
\(293\) | −11.0919 | − | 19.2118i | −0.647997 | − | 1.12236i | −0.983601 | − | 0.180361i | \(-0.942274\pi\) |
0.335603 | − | 0.942003i | \(-0.391060\pi\) | |||||||
\(294\) | −6.44522 | − | 8.35685i | −0.375893 | − | 0.487381i | ||||
\(295\) | 3.00645 | + | 8.15029i | 0.175042 | + | 0.474528i | ||||
\(296\) | 2.39952 | − | 7.38495i | 0.139469 | − | 0.429242i | ||||
\(297\) | 13.4202 | − | 2.59005i | 0.778720 | − | 0.150290i | ||||
\(298\) | −8.58900 | + | 6.24027i | −0.497547 | + | 0.361489i | ||||
\(299\) | 7.44375 | − | 12.8929i | 0.430483 | − | 0.745618i | ||||
\(300\) | −7.91993 | − | 3.50354i | −0.457257 | − | 0.202277i | ||||
\(301\) | −4.38483 | − | 7.59474i | −0.252737 | − | 0.437754i | ||||
\(302\) | 13.3810 | + | 5.95761i | 0.769990 | + | 0.342822i | ||||
\(303\) | 17.1500 | + | 9.25703i | 0.985240 | + | 0.531802i | ||||
\(304\) | −0.0408938 | − | 0.0454172i | −0.00234542 | − | 0.00260486i | ||||
\(305\) | −0.196574 | − | 0.311577i | −0.0112558 | − | 0.0178409i | ||||
\(306\) | 15.4972 | − | 7.99268i | 0.885918 | − | 0.456911i | ||||
\(307\) | −31.4645 | −1.79577 | −0.897886 | − | 0.440229i | \(-0.854897\pi\) | ||||
−0.897886 | + | 0.440229i | \(0.854897\pi\) | |||||||
\(308\) | −2.45020 | − | 0.520806i | −0.139613 | − | 0.0296757i | ||||
\(309\) | 2.44447 | + | 10.0726i | 0.139061 | + | 0.573007i | ||||
\(310\) | 10.5256 | + | 1.80904i | 0.597813 | + | 0.102746i | ||||
\(311\) | −12.1188 | − | 5.39563i | −0.687193 | − | 0.305958i | 0.0332750 | − | 0.999446i | \(-0.489406\pi\) |
−0.720468 | + | 0.693488i | \(0.756073\pi\) | |||||||
\(312\) | 2.74662 | + | 11.3175i | 0.155496 | + | 0.640730i | ||||
\(313\) | −1.85290 | + | 0.824964i | −0.104732 | + | 0.0466297i | −0.458434 | − | 0.888728i | \(-0.651589\pi\) |
0.353702 | + | 0.935358i | \(0.384923\pi\) | |||||||
\(314\) | −1.32957 | + | 0.965992i | −0.0750322 | + | 0.0545141i | ||||
\(315\) | −0.0523814 | + | 6.38808i | −0.00295136 | + | 0.359927i | ||||
\(316\) | 12.6574 | + | 9.19616i | 0.712036 | + | 0.517325i | ||||
\(317\) | 1.58965 | + | 0.337891i | 0.0892838 | + | 0.0189779i | 0.252337 | − | 0.967639i | \(-0.418801\pi\) |
−0.163053 | + | 0.986617i | \(0.552134\pi\) | |||||||
\(318\) | −1.86103 | + | 10.1811i | −0.104361 | + | 0.570930i | ||||
\(319\) | 13.8328 | − | 15.3629i | 0.774487 | − | 0.860155i | ||||
\(320\) | −1.04122 | + | 1.97885i | −0.0582060 | + | 0.110621i | ||||
\(321\) | 0.285197 | + | 9.95385i | 0.0159181 | + | 0.555570i | ||||
\(322\) | −1.41089 | − | 1.56695i | −0.0786257 | − | 0.0873227i | ||||
\(323\) | 0.287378 | − | 0.208792i | 0.0159901 | − | 0.0116175i | ||||
\(324\) | −8.53168 | + | 2.86538i | −0.473982 | + | 0.159188i | ||||
\(325\) | 24.3848 | + | 23.1438i | 1.35263 | + | 1.28379i | ||||
\(326\) | −11.8593 | + | 20.5409i | −0.656826 | + | 1.13766i | ||||
\(327\) | 8.70214 | − | 12.7288i | 0.481229 | − | 0.703903i | ||||
\(328\) | 4.48774 | − | 0.953899i | 0.247794 | − | 0.0526703i | ||||
\(329\) | −2.51822 | + | 0.535265i | −0.138834 | + | 0.0295101i | ||||
\(330\) | −6.53322 | − | 7.81669i | −0.359642 | − | 0.430295i | ||||
\(331\) | −26.0256 | − | 5.53191i | −1.43049 | − | 0.304061i | −0.573424 | − | 0.819259i | \(-0.694385\pi\) |
−0.857071 | + | 0.515198i | \(0.827718\pi\) | |||||||
\(332\) | 8.95618 | 0.491534 | ||||||||
\(333\) | −19.5991 | − | 12.5909i | −1.07402 | − | 0.689979i | ||||
\(334\) | 0.437007 | + | 0.317504i | 0.0239120 | + | 0.0173731i | ||||
\(335\) | 8.42106 | − | 29.8545i | 0.460092 | − | 1.63112i | ||||
\(336\) | 1.64468 | + | 0.125362i | 0.0897246 | + | 0.00683906i | ||||
\(337\) | 0.514875 | − | 4.89871i | 0.0280471 | − | 0.266850i | −0.971508 | − | 0.237008i | \(-0.923833\pi\) |
0.999555 | − | 0.0298414i | \(-0.00950024\pi\) | |||||||
\(338\) | 3.36689 | − | 32.0338i | 0.183135 | − | 1.74241i | ||||
\(339\) | 7.97624 | + | 0.607971i | 0.433210 | + | 0.0330205i | ||||
\(340\) | −10.8061 | − | 7.22101i | −0.586044 | − | 0.391614i | ||||
\(341\) | 10.1639 | + | 7.38449i | 0.550405 | + | 0.399892i | ||||
\(342\) | −0.162949 | + | 0.0840408i | −0.00881128 | + | 0.00454441i | ||||
\(343\) | 12.4687 | 0.673247 | ||||||||
\(344\) | −9.00758 | − | 1.91462i | −0.485656 | − | 0.103229i | ||||
\(345\) | −0.581610 | − | 8.55554i | −0.0313128 | − | 0.460615i | ||||
\(346\) | 15.2053 | − | 3.23199i | 0.817444 | − | 0.173753i | ||||
\(347\) | −25.1539 | + | 5.34662i | −1.35033 | + | 0.287022i | −0.825605 | − | 0.564249i | \(-0.809166\pi\) |
−0.524727 | + | 0.851271i | \(0.675832\pi\) | |||||||
\(348\) | −7.68259 | + | 11.2375i | −0.411830 | + | 0.602391i | ||||
\(349\) | 1.97906 | − | 3.42783i | 0.105936 | − | 0.183487i | −0.808184 | − | 0.588930i | \(-0.799549\pi\) |
0.914120 | + | 0.405443i | \(0.132883\pi\) | |||||||
\(350\) | 4.18471 | − | 2.27170i | 0.223682 | − | 0.121427i | ||||
\(351\) | 34.9320 | + | 0.656364i | 1.86453 | + | 0.0350341i | ||||
\(352\) | −2.12802 | + | 1.54610i | −0.113424 | + | 0.0824074i | ||||
\(353\) | 22.9484 | + | 25.4867i | 1.22142 | + | 1.35652i | 0.914397 | + | 0.404819i | \(0.132665\pi\) |
0.307021 | + | 0.951703i | \(0.400668\pi\) | |||||||
\(354\) | −0.192720 | − | 6.72625i | −0.0102429 | − | 0.357496i | ||||
\(355\) | 0.0187658 | + | 0.129460i | 0.000995987 | + | 0.00687104i | ||||
\(356\) | 11.3204 | − | 12.5726i | 0.599980 | − | 0.666346i | ||||
\(357\) | −1.72388 | + | 9.43087i | −0.0912375 | + | 0.499134i | ||||
\(358\) | 15.3755 | + | 3.26817i | 0.812621 | + | 0.172728i | ||||
\(359\) | 9.91413 | + | 7.20304i | 0.523248 | + | 0.380162i | 0.817826 | − | 0.575466i | \(-0.195179\pi\) |
−0.294578 | + | 0.955627i | \(0.595179\pi\) | |||||||
\(360\) | 4.94819 | + | 4.52939i | 0.260793 | + | 0.238720i | ||||
\(361\) | 15.3683 | − | 11.1657i | 0.808858 | − | 0.587670i | ||||
\(362\) | 3.35971 | − | 1.49584i | 0.176582 | − | 0.0786195i | ||||
\(363\) | 1.66708 | + | 6.86926i | 0.0874989 | + | 0.360543i | ||||
\(364\) | −5.84961 | − | 2.60442i | −0.306603 | − | 0.136508i | ||||
\(365\) | 8.72841 | − | 16.5884i | 0.456866 | − | 0.868279i | ||||
\(366\) | 0.0673006 | + | 0.277315i | 0.00351786 | + | 0.0144955i | ||||
\(367\) | 37.0635 | + | 7.87810i | 1.93470 | + | 0.411233i | 0.998157 | + | 0.0606805i | \(0.0193271\pi\) |
0.936543 | + | 0.350553i | \(0.114006\pi\) | |||||||
\(368\) | −2.21413 | −0.115420 | ||||||||
\(369\) | 0.652605 | − | 13.7485i | 0.0339732 | − | 0.715720i | ||||
\(370\) | −1.13626 | + | 17.3258i | −0.0590712 | + | 0.900728i | ||||
\(371\) | −3.80770 | − | 4.22888i | −0.197686 | − | 0.219552i | ||||
\(372\) | −7.27983 | − | 3.92943i | −0.377442 | − | 0.203731i | ||||
\(373\) | −11.0331 | − | 4.91226i | −0.571273 | − | 0.254347i | 0.100708 | − | 0.994916i | \(-0.467889\pi\) |
−0.671980 | + | 0.740569i | \(0.734556\pi\) | |||||||
\(374\) | −7.64431 | − | 13.2403i | −0.395278 | − | 0.684641i | ||||
\(375\) | 19.0929 | + | 3.23458i | 0.985951 | + | 0.167033i | ||||
\(376\) | −1.35170 | + | 2.34122i | −0.0697087 | + | 0.120739i | ||||
\(377\) | 42.7520 | − | 31.0611i | 2.20184 | − | 1.59973i | ||||
\(378\) | 1.61727 | − | 4.67660i | 0.0831832 | − | 0.240539i | ||||
\(379\) | 8.03885 | − | 24.7410i | 0.412928 | − | 1.27086i | −0.501163 | − | 0.865353i | \(-0.667094\pi\) |
0.914091 | − | 0.405509i | \(-0.132906\pi\) | |||||||
\(380\) | 0.113623 | + | 0.0759269i | 0.00582875 | + | 0.00389497i | ||||
\(381\) | −14.1131 | − | 18.2991i | −0.723038 | − | 0.937490i | ||||
\(382\) | 7.19373 | + | 12.4599i | 0.368063 | + | 0.637504i | ||||
\(383\) | 21.6666 | − | 24.0632i | 1.10711 | − | 1.22957i | 0.136061 | − | 0.990700i | \(-0.456556\pi\) |
0.971051 | − | 0.238872i | \(-0.0767776\pi\) | |||||||
\(384\) | 1.25344 | − | 1.19536i | 0.0639645 | − | 0.0610003i | ||||
\(385\) | 5.59691 | − | 0.219690i | 0.285245 | − | 0.0111964i | ||||
\(386\) | −0.418637 | + | 0.304158i | −0.0213081 | + | 0.0154812i | ||||
\(387\) | −12.4207 | + | 24.6769i | −0.631379 | + | 1.25440i | ||||
\(388\) | −9.92326 | − | 7.20967i | −0.503777 | − | 0.366016i | ||||
\(389\) | 3.49558 | + | 33.2582i | 0.177233 | + | 1.68626i | 0.616070 | + | 0.787691i | \(0.288724\pi\) |
−0.438837 | + | 0.898567i | \(0.644610\pi\) | |||||||
\(390\) | −12.1811 | − | 23.0168i | −0.616815 | − | 1.16550i | ||||
\(391\) | 1.34520 | − | 12.7987i | 0.0680297 | − | 0.647259i | ||||
\(392\) | 4.07708 | − | 4.52806i | 0.205924 | − | 0.228702i | ||||
\(393\) | −9.77051 | − | 8.30326i | −0.492857 | − | 0.418844i | ||||
\(394\) | 4.47266 | + | 0.950694i | 0.225330 | + | 0.0478953i | ||||
\(395\) | −32.4932 | − | 12.9649i | −1.63491 | − | 0.652336i | ||||
\(396\) | 2.86421 | + | 7.35299i | 0.143932 | + | 0.369502i | ||||
\(397\) | −6.86149 | + | 21.1175i | −0.344368 | + | 1.05986i | 0.617553 | + | 0.786529i | \(0.288124\pi\) |
−0.961921 | + | 0.273327i | \(0.911876\pi\) | |||||||
\(398\) | −0.816129 | − | 7.76495i | −0.0409088 | − | 0.389222i | ||||
\(399\) | 0.0181261 | − | 0.0991629i | 0.000907441 | − | 0.00496435i | ||||
\(400\) | 1.16760 | − | 4.86176i | 0.0583798 | − | 0.243088i | ||||
\(401\) | −16.5503 | − | 28.6660i | −0.826484 | − | 1.43151i | −0.900780 | − | 0.434275i | \(-0.857004\pi\) |
0.0742965 | − | 0.997236i | \(-0.476329\pi\) | |||||||
\(402\) | −13.5605 | + | 19.8352i | −0.676337 | + | 0.989290i | ||||
\(403\) | 21.4888 | + | 23.8657i | 1.07043 | + | 1.18884i | ||||
\(404\) | −3.47702 | + | 10.7012i | −0.172988 | + | 0.532403i | ||||
\(405\) | 16.9137 | − | 10.9054i | 0.840448 | − | 0.541892i | ||||
\(406\) | −2.31282 | − | 7.11811i | −0.114783 | − | 0.353266i | ||||
\(407\) | −10.2125 | + | 17.6885i | −0.506213 | + | 0.876786i | ||||
\(408\) | 6.14820 | + | 7.97174i | 0.304381 | + | 0.394660i | ||||
\(409\) | −1.12223 | + | 10.6773i | −0.0554907 | + | 0.527959i | 0.931102 | + | 0.364758i | \(0.118848\pi\) |
−0.986593 | + | 0.163200i | \(0.947818\pi\) | |||||||
\(410\) | −9.20127 | + | 4.53713i | −0.454418 | + | 0.224073i | ||||
\(411\) | −0.00956443 | − | 0.0199257i | −0.000471778 | − | 0.000982864i | ||||
\(412\) | −5.46683 | + | 2.43399i | −0.269332 | + | 0.119914i | ||||
\(413\) | 2.99314 | + | 2.17464i | 0.147283 | + | 0.107007i | ||||
\(414\) | −1.68754 | + | 6.42445i | −0.0829379 | + | 0.315745i | ||||
\(415\) | −19.4106 | + | 4.92888i | −0.952829 | + | 0.241949i | ||||
\(416\) | −6.14255 | + | 2.73484i | −0.301163 | + | 0.134086i | ||||
\(417\) | −1.62295 | + | 3.94562i | −0.0794762 | + | 0.193218i | ||||
\(418\) | 0.0803777 | + | 0.139218i | 0.00393140 | + | 0.00680939i | ||||
\(419\) | 7.08078 | − | 7.86400i | 0.345919 | − | 0.384182i | −0.544930 | − | 0.838481i | \(-0.683444\pi\) |
0.890849 | + | 0.454300i | \(0.150111\pi\) | |||||||
\(420\) | −3.63348 | + | 0.633426i | −0.177296 | + | 0.0309080i | ||||
\(421\) | −3.62196 | − | 4.02259i | −0.176524 | − | 0.196049i | 0.648390 | − | 0.761309i | \(-0.275443\pi\) |
−0.824913 | + | 0.565259i | \(0.808776\pi\) | |||||||
\(422\) | −0.570764 | + | 1.75663i | −0.0277843 | + | 0.0855114i | ||||
\(423\) | 5.76298 | + | 5.70645i | 0.280206 | + | 0.277457i | ||||
\(424\) | −5.97548 | −0.290195 | ||||||||
\(425\) | 27.3939 | + | 9.70304i | 1.32880 | + | 0.470666i | ||||
\(426\) | 0.0182199 | − | 0.0996761i | 0.000882758 | − | 0.00482932i | ||||
\(427\) | −0.143334 | − | 0.0638163i | −0.00693640 | − | 0.00308829i | ||||
\(428\) | −5.62358 | + | 1.19533i | −0.271826 | + | 0.0577784i | ||||
\(429\) | −0.877350 | − | 30.6210i | −0.0423589 | − | 1.47840i | ||||
\(430\) | 20.5757 | − | 0.807639i | 0.992248 | − | 0.0389478i | ||||
\(431\) | −2.14227 | − | 6.59322i | −0.103189 | − | 0.317584i | 0.886112 | − | 0.463471i | \(-0.153396\pi\) |
−0.989301 | + | 0.145887i | \(0.953396\pi\) | |||||||
\(432\) | −2.51308 | − | 4.54801i | −0.120911 | − | 0.218816i | ||||
\(433\) | 0.0443481 | + | 0.136489i | 0.00213123 | + | 0.00655926i | 0.952116 | − | 0.305736i | \(-0.0989023\pi\) |
−0.949985 | + | 0.312295i | \(0.898902\pi\) | |||||||
\(434\) | 4.15520 | − | 1.85001i | 0.199456 | − | 0.0888034i | ||||
\(435\) | 10.4660 | − | 28.5828i | 0.501807 | − | 1.37044i | ||||
\(436\) | 8.13259 | + | 3.62086i | 0.389480 | + | 0.173408i | ||||
\(437\) | −0.0141444 | + | 0.134575i | −0.000676619 | + | 0.00643760i | ||||
\(438\) | −10.5074 | + | 10.0205i | −0.502065 | + | 0.478799i | ||||
\(439\) | 0.124062 | + | 1.18037i | 0.00592117 | + | 0.0563361i | 0.997083 | − | 0.0763185i | \(-0.0243166\pi\) |
−0.991162 | + | 0.132655i | \(0.957650\pi\) | |||||||
\(440\) | 3.76117 | − | 4.52196i | 0.179307 | − | 0.215576i | ||||
\(441\) | −10.0311 | − | 15.2811i | −0.477669 | − | 0.727670i | ||||
\(442\) | −12.0767 | − | 37.1684i | −0.574432 | − | 1.76792i | ||||
\(443\) | −10.1671 | + | 17.6098i | −0.483051 | + | 0.836669i | −0.999811 | − | 0.0194615i | \(-0.993805\pi\) |
0.516759 | + | 0.856131i | \(0.327138\pi\) | |||||||
\(444\) | 5.11622 | − | 12.4382i | 0.242805 | − | 0.590293i | ||||
\(445\) | −17.6155 | + | 33.4784i | −0.835053 | + | 1.58703i | ||||
\(446\) | −16.5686 | + | 3.52177i | −0.784548 | + | 0.166761i | ||||
\(447\) | −15.6550 | + | 9.64656i | −0.740457 | + | 0.456266i | ||||
\(448\) | 0.0995436 | + | 0.947094i | 0.00470299 | + | 0.0447460i | ||||
\(449\) | 13.4640 | 0.635405 | 0.317703 | − | 0.948190i | \(-0.397089\pi\) | ||||
0.317703 | + | 0.948190i | \(0.397089\pi\) | |||||||
\(450\) | −13.2168 | − | 7.09333i | −0.623047 | − | 0.334383i | ||||
\(451\) | −12.0682 | −0.568269 | ||||||||
\(452\) | 0.482759 | + | 4.59314i | 0.0227071 | + | 0.216043i | ||||
\(453\) | 22.3253 | + | 12.0505i | 1.04893 | + | 0.566182i | ||||
\(454\) | 5.46859 | − | 1.16238i | 0.256654 | − | 0.0545534i | ||||
\(455\) | 14.1111 | + | 2.42528i | 0.661538 | + | 0.113699i | ||||
\(456\) | −0.0646466 | − | 0.0838206i | −0.00302735 | − | 0.00392526i | ||||
\(457\) | −12.6148 | + | 21.8494i | −0.590093 | + | 1.02207i | 0.404126 | + | 0.914703i | \(0.367576\pi\) |
−0.994219 | + | 0.107368i | \(0.965758\pi\) | |||||||
\(458\) | 3.67968 | + | 11.3249i | 0.171940 | + | 0.529177i | ||||
\(459\) | 27.8165 | − | 11.7636i | 1.29836 | − | 0.549079i | ||||
\(460\) | 4.79866 | − | 1.21851i | 0.223739 | − | 0.0568133i | ||||
\(461\) | 0.436189 | + | 4.15006i | 0.0203153 | + | 0.193287i | 0.999973 | − | 0.00739002i | \(-0.00235234\pi\) |
−0.979657 | + | 0.200677i | \(0.935686\pi\) | |||||||
\(462\) | −4.16304 | − | 1.22200i | −0.193682 | − | 0.0568525i | ||||
\(463\) | −0.510248 | + | 4.85468i | −0.0237132 | + | 0.225616i | 0.976247 | + | 0.216662i | \(0.0695169\pi\) |
−0.999960 | + | 0.00895424i | \(0.997150\pi\) | |||||||
\(464\) | −7.17976 | − | 3.19664i | −0.333312 | − | 0.148400i | ||||
\(465\) | 17.9400 | + | 4.50987i | 0.831946 | + | 0.209140i | ||||
\(466\) | −17.7940 | + | 7.92239i | −0.824290 | + | 0.366998i | ||||
\(467\) | −10.1638 | − | 31.2808i | −0.470322 | − | 1.44750i | −0.852163 | − | 0.523276i | \(-0.824710\pi\) |
0.381841 | − | 0.924228i | \(-0.375290\pi\) | |||||||
\(468\) | 3.25368 | + | 19.9074i | 0.150401 | + | 0.920221i | ||||
\(469\) | −4.08234 | − | 12.5642i | −0.188505 | − | 0.580159i | ||||
\(470\) | 1.64108 | − | 5.81798i | 0.0756973 | − | 0.268363i | ||||
\(471\) | −2.42339 | + | 1.49328i | −0.111664 | + | 0.0688068i | ||||
\(472\) | 3.80010 | − | 0.807736i | 0.174914 | − | 0.0371791i | ||||
\(473\) | 22.1285 | + | 9.85226i | 1.01747 | + | 0.453007i | ||||
\(474\) | 20.6493 | + | 17.5484i | 0.948455 | + | 0.806024i | ||||
\(475\) | −0.288039 | − | 0.102025i | −0.0132161 | − | 0.00468121i | ||||
\(476\) | −5.53513 | −0.253702 | ||||||||
\(477\) | −4.55431 | + | 17.3383i | −0.208528 | + | 0.793865i | ||||
\(478\) | 3.19415 | − | 9.83057i | 0.146097 | − | 0.449640i | ||||
\(479\) | 2.68600 | + | 2.98310i | 0.122726 | + | 0.136301i | 0.801376 | − | 0.598160i | \(-0.204101\pi\) |
−0.678650 | + | 0.734462i | \(0.737435\pi\) | |||||||
\(480\) | −2.05873 | + | 3.28049i | −0.0939676 | + | 0.149733i | ||||
\(481\) | −34.9358 | + | 38.8001i | −1.59294 | + | 1.76913i | ||||
\(482\) | −7.19910 | − | 12.4692i | −0.327910 | − | 0.567957i | ||||
\(483\) | −2.23039 | − | 2.89192i | −0.101486 | − | 0.131587i | ||||
\(484\) | −3.72826 | + | 1.65993i | −0.169466 | + | 0.0754513i | ||||
\(485\) | 25.4743 | + | 10.1643i | 1.15673 | + | 0.461538i | ||||
\(486\) | −15.1118 | + | 3.82553i | −0.685483 | + | 0.173529i | ||||
\(487\) | 6.31256 | + | 4.58634i | 0.286049 | + | 0.207827i | 0.721552 | − | 0.692361i | \(-0.243429\pi\) |
−0.435502 | + | 0.900188i | \(0.643429\pi\) | |||||||
\(488\) | −0.150512 | + | 0.0670120i | −0.00681334 | + | 0.00303349i | ||||
\(489\) | −23.1855 | + | 33.9138i | −1.04848 | + | 1.53364i | ||||
\(490\) | −6.34427 | + | 12.0574i | −0.286605 | + | 0.544696i | ||||
\(491\) | −2.61706 | + | 24.8997i | −0.118106 | + | 1.12371i | 0.761553 | + | 0.648103i | \(0.224437\pi\) |
−0.879659 | + | 0.475605i | \(0.842229\pi\) | |||||||
\(492\) | 7.87609 | − | 1.05666i | 0.355082 | − | 0.0476378i | ||||
\(493\) | 22.8402 | − | 39.5603i | 1.02867 | − | 1.78171i | ||||
\(494\) | 0.126984 | + | 0.390815i | 0.00571326 | + | 0.0175836i | ||||
\(495\) | −10.2542 | − | 14.3598i | −0.460890 | − | 0.645424i | ||||
\(496\) | 1.47593 | − | 4.54244i | 0.0662711 | − | 0.203962i | ||||
\(497\) | 0.0372783 | + | 0.0414018i | 0.00167216 | + | 0.00185712i | ||||
\(498\) | 15.4677 | + | 1.17899i | 0.693123 | + | 0.0528318i | ||||
\(499\) | −20.5074 | − | 35.5198i | −0.918037 | − | 1.59009i | −0.802394 | − | 0.596795i | \(-0.796441\pi\) |
−0.115643 | − | 0.993291i | \(-0.536893\pi\) | |||||||
\(500\) | 0.145073 | + | 11.1794i | 0.00648784 | + | 0.499958i | ||||
\(501\) | 0.712933 | + | 0.605871i | 0.0318515 | + | 0.0270683i | ||||
\(502\) | −2.09318 | − | 19.9153i | −0.0934233 | − | 0.888864i | ||||
\(503\) | −3.37188 | + | 10.3776i | −0.150345 | + | 0.462713i | −0.997660 | − | 0.0683777i | \(-0.978218\pi\) |
0.847315 | + | 0.531091i | \(0.178218\pi\) | |||||||
\(504\) | 2.82393 | + | 0.433011i | 0.125788 | + | 0.0192878i | ||||
\(505\) | 1.64649 | − | 25.1060i | 0.0732680 | − | 1.11720i | ||||
\(506\) | 5.69674 | + | 1.21088i | 0.253251 | + | 0.0538302i | ||||
\(507\) | 10.0317 | − | 54.8805i | 0.445522 | − | 2.43733i | ||||
\(508\) | 8.92762 | − | 9.91513i | 0.396099 | − | 0.439913i | ||||
\(509\) | −1.32984 | + | 12.6526i | −0.0589441 | + | 0.560815i | 0.924701 | + | 0.380695i | \(0.124315\pi\) |
−0.983645 | + | 0.180120i | \(0.942351\pi\) | |||||||
\(510\) | −17.7120 | − | 13.8935i | −0.784302 | − | 0.615214i | ||||
\(511\) | −0.834460 | − | 7.93935i | −0.0369143 | − | 0.351216i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −0.292483 | + | 0.123691i | −0.0129134 | + | 0.00546110i | ||||
\(514\) | 0.336109 | − | 0.244197i | 0.0148251 | − | 0.0107711i | ||||
\(515\) | 10.5087 | − | 8.28374i | 0.463068 | − | 0.365025i | ||||
\(516\) | −15.3044 | − | 4.49239i | −0.673740 | − | 0.197766i | ||||
\(517\) | 4.75818 | − | 5.28449i | 0.209264 | − | 0.232412i | ||||
\(518\) | 3.69734 | + | 6.40399i | 0.162452 | + | 0.281375i | ||||
\(519\) | 26.6857 | − | 3.58016i | 1.17137 | − | 0.157151i | ||||
\(520\) | 11.8076 | − | 9.30763i | 0.517797 | − | 0.408167i | ||||
\(521\) | 7.20918 | − | 22.1876i | 0.315840 | − | 0.972056i | −0.659567 | − | 0.751646i | \(-0.729260\pi\) |
0.975407 | − | 0.220410i | \(-0.0707396\pi\) | |||||||
\(522\) | −14.7474 | + | 18.3962i | −0.645478 | + | 0.805180i | ||||
\(523\) | 13.7264 | − | 9.97282i | 0.600214 | − | 0.436081i | −0.245741 | − | 0.969336i | \(-0.579031\pi\) |
0.845955 | + | 0.533255i | \(0.179031\pi\) | |||||||
\(524\) | 3.70143 | − | 6.41107i | 0.161698 | − | 0.280069i | ||||
\(525\) | 7.52621 | − | 3.37244i | 0.328471 | − | 0.147185i | ||||
\(526\) | −8.80704 | − | 15.2542i | −0.384005 | − | 0.665116i | ||||
\(527\) | 25.3608 | + | 11.2913i | 1.10473 | + | 0.491858i | ||||
\(528\) | −3.87871 | + | 2.39004i | −0.168799 | + | 0.104013i | ||||
\(529\) | −12.1097 | − | 13.4492i | −0.526508 | − | 0.584746i | ||||
\(530\) | 12.9506 | − | 3.28851i | 0.562537 | − | 0.142844i | ||||
\(531\) | 0.552608 | − | 11.6419i | 0.0239811 | − | 0.505215i | ||||
\(532\) | 0.0582003 | 0.00252330 | ||||||||
\(533\) | −30.1749 | − | 6.41388i | −1.30702 | − | 0.277816i | ||||
\(534\) | 21.2059 | − | 20.2232i | 0.917667 | − | 0.875141i | ||||
\(535\) | 11.5301 | − | 5.68547i | 0.498489 | − | 0.245804i | ||||
\(536\) | −12.6730 | − | 5.64238i | −0.547389 | − | 0.243713i | ||||
\(537\) | 26.1239 | + | 7.66829i | 1.12733 | + | 0.330911i | ||||
\(538\) | −8.41515 | + | 3.74667i | −0.362803 | + | 0.161530i | ||||
\(539\) | −12.9663 | + | 9.42055i | −0.558497 | + | 0.405772i | ||||
\(540\) | 7.94949 | + | 8.47382i | 0.342091 | + | 0.364655i | ||||
\(541\) | −12.3763 | − | 8.99191i | −0.532099 | − | 0.386592i | 0.289043 | − | 0.957316i | \(-0.406663\pi\) |
−0.821142 | + | 0.570724i | \(0.806663\pi\) | |||||||
\(542\) | −12.2166 | − | 2.59672i | −0.524748 | − | 0.111539i | ||||
\(543\) | 5.99927 | − | 2.14110i | 0.257453 | − | 0.0918835i | ||||
\(544\) | −3.88920 | + | 4.31939i | −0.166748 | + | 0.185192i | ||||
\(545\) | −19.6183 | − | 3.37181i | −0.840357 | − | 0.144433i | ||||
\(546\) | −9.75968 | − | 5.26798i | −0.417676 | − | 0.225449i | ||||
\(547\) | −4.46271 | − | 4.95635i | −0.190812 | − | 0.211918i | 0.640146 | − | 0.768253i | \(-0.278874\pi\) |
−0.830958 | + | 0.556335i | \(0.812207\pi\) | |||||||
\(548\) | 0.0103237 | − | 0.00750060i | 0.000441006 | − | 0.000320410i | ||||
\(549\) | 0.0797252 | + | 0.487794i | 0.00340259 | + | 0.0208185i | ||||
\(550\) | −5.66294 | + | 11.8703i | −0.241469 | + | 0.506151i | ||||
\(551\) | −0.240158 | + | 0.415966i | −0.0102311 | + | 0.0177207i | ||||
\(552\) | −3.82389 | − | 0.291468i | −0.162756 | − | 0.0124057i | ||||
\(553\) | −14.5737 | + | 3.09774i | −0.619738 | + | 0.131729i | ||||
\(554\) | 12.4918 | − | 2.65522i | 0.530726 | − | 0.112809i | ||||
\(555\) | −4.24313 | + | 29.7729i | −0.180111 | + | 1.26379i | ||||
\(556\) | −2.40936 | − | 0.512126i | −0.102180 | − | 0.0217190i | ||||
\(557\) | −28.8792 | −1.22365 | −0.611825 | − | 0.790993i | \(-0.709564\pi\) | ||||
−0.611825 | + | 0.790993i | \(0.709564\pi\) | |||||||
\(558\) | −12.0553 | − | 7.74460i | −0.510341 | − | 0.327855i | ||||
\(559\) | 50.0933 | + | 36.3949i | 2.11872 | + | 1.53934i | ||||
\(560\) | −0.736957 | − | 1.99784i | −0.0311421 | − | 0.0844242i | ||||
\(561\) | −11.4591 | − | 23.8729i | −0.483803 | − | 1.00791i | ||||
\(562\) | −0.446453 | + | 4.24771i | −0.0188325 | + | 0.179179i | ||||
\(563\) | −0.523909 | + | 4.98466i | −0.0220801 | + | 0.210078i | 0.977919 | + | 0.208983i | \(0.0670153\pi\) |
−0.999999 | + | 0.00109541i | \(0.999651\pi\) | |||||||
\(564\) | −2.64264 | + | 3.86544i | −0.111275 | + | 0.162764i | ||||
\(565\) | −3.57403 | − | 9.68898i | −0.150361 | − | 0.407618i | ||||
\(566\) | −10.2706 | − | 7.46205i | −0.431707 | − | 0.313653i | ||||
\(567\) | 3.40871 | − | 7.86379i | 0.143153 | − | 0.330248i | ||||
\(568\) | 0.0585015 | 0.00245467 | ||||||||
\(569\) | −4.02693 | − | 0.855950i | −0.168818 | − | 0.0358833i | 0.122727 | − | 0.992440i | \(-0.460836\pi\) |
−0.291545 | + | 0.956557i | \(0.594169\pi\) | |||||||
\(570\) | 0.186237 | + | 0.146086i | 0.00780061 | + | 0.00611888i | ||||
\(571\) | 39.7100 | − | 8.44063i | 1.66181 | − | 0.353229i | 0.721205 | − | 0.692722i | \(-0.243589\pi\) |
0.940609 | + | 0.339493i | \(0.110255\pi\) | |||||||
\(572\) | 17.2998 | − | 3.67719i | 0.723342 | − | 0.153751i | ||||
\(573\) | 10.7836 | + | 22.4658i | 0.450493 | + | 0.938520i | ||||
\(574\) | −2.18460 | + | 3.78384i | −0.0911835 | + | 0.157934i | ||||
\(575\) | −9.72948 | + | 5.28172i | −0.405747 | + | 0.220263i | ||||
\(576\) | 2.32211 | − | 1.89943i | 0.0967544 | − | 0.0791428i | ||||
\(577\) | −29.3584 | + | 21.3301i | −1.22221 | + | 0.887986i | −0.996281 | − | 0.0861589i | \(-0.972541\pi\) |
−0.225926 | + | 0.974144i | \(0.572541\pi\) | |||||||
\(578\) | −11.2300 | − | 12.4722i | −0.467108 | − | 0.518776i | ||||
\(579\) | −0.763043 | + | 0.470183i | −0.0317110 | + | 0.0195402i | ||||
\(580\) | 17.3198 | + | 2.97677i | 0.719166 | + | 0.123604i | ||||
\(581\) | −5.70706 | + | 6.33833i | −0.236769 | + | 0.262958i | ||||
\(582\) | −16.1888 | − | 13.7577i | −0.671047 | − | 0.570275i | ||||
\(583\) | 15.3743 | + | 3.26791i | 0.636739 | + | 0.135343i | ||||
\(584\) | −6.78188 | − | 4.92732i | −0.280636 | − | 0.203894i | ||||
\(585\) | −18.0074 | − | 41.3545i | −0.744513 | − | 1.70980i | ||||
\(586\) | 17.9471 | − | 13.0393i | 0.741388 | − | 0.538650i | ||||
\(587\) | −16.1657 | + | 7.19742i | −0.667228 | + | 0.297069i | −0.712259 | − | 0.701916i | \(-0.752328\pi\) |
0.0450310 | + | 0.998986i | \(0.485661\pi\) | |||||||
\(588\) | 7.63736 | − | 7.28344i | 0.314960 | − | 0.300364i | ||||
\(589\) | −0.266661 | − | 0.118725i | −0.0109876 | − | 0.00489199i | ||||
\(590\) | −7.79138 | + | 3.84192i | −0.320766 | + | 0.158169i | ||||
\(591\) | 7.59932 | + | 2.23067i | 0.312594 | + | 0.0917574i | ||||
\(592\) | 7.59531 | + | 1.61443i | 0.312165 | + | 0.0663528i | ||||
\(593\) | 13.5216 | 0.555265 | 0.277633 | − | 0.960687i | \(-0.410450\pi\) | ||||
0.277633 | + | 0.960687i | \(0.410450\pi\) | |||||||
\(594\) | 3.97865 | + | 13.0760i | 0.163246 | + | 0.536513i | ||||
\(595\) | 11.9962 | − | 3.04617i | 0.491797 | − | 0.124881i | ||||
\(596\) | −7.10388 | − | 7.88966i | −0.290986 | − | 0.323173i | ||||
\(597\) | −0.387311 | − | 13.5178i | −0.0158516 | − | 0.553248i | ||||
\(598\) | 13.6004 | + | 6.05529i | 0.556162 | + | 0.247619i | ||||
\(599\) | 16.8419 | + | 29.1711i | 0.688143 | + | 1.19190i | 0.972438 | + | 0.233161i | \(0.0749070\pi\) |
−0.284296 | + | 0.958737i | \(0.591760\pi\) | |||||||
\(600\) | 2.65649 | − | 8.24276i | 0.108451 | − | 0.336509i | ||||
\(601\) | −6.90060 | + | 11.9522i | −0.281481 | + | 0.487540i | −0.971750 | − | 0.236013i | \(-0.924159\pi\) |
0.690269 | + | 0.723553i | \(0.257492\pi\) | |||||||
\(602\) | 7.09480 | − | 5.15467i | 0.289162 | − | 0.210089i | ||||
\(603\) | −26.0307 | + | 32.4711i | −1.06005 | + | 1.32233i | ||||
\(604\) | −4.52627 | + | 13.9304i | −0.184172 | + | 0.566822i | ||||
\(605\) | 7.16670 | − | 5.64933i | 0.291368 | − | 0.229678i | ||||
\(606\) | −7.41366 | + | 18.0236i | −0.301159 | + | 0.732160i | ||||
\(607\) | 18.3640 | + | 31.8073i | 0.745371 | + | 1.29102i | 0.950021 | + | 0.312185i | \(0.101061\pi\) |
−0.204651 | + | 0.978835i | \(0.565606\pi\) | |||||||
\(608\) | 0.0408938 | − | 0.0454172i | 0.00165846 | − | 0.00184191i | ||||
\(609\) | −3.05730 | − | 12.5977i | −0.123888 | − | 0.510486i | ||||
\(610\) | 0.289323 | − | 0.228066i | 0.0117143 | − | 0.00923411i | ||||
\(611\) | 14.7057 | − | 10.6843i | 0.594931 | − | 0.432243i | ||||
\(612\) | 9.56880 | + | 14.5769i | 0.386796 | + | 0.589235i | ||||
\(613\) | 18.6573 | + | 13.5553i | 0.753561 | + | 0.547494i | 0.896928 | − | 0.442176i | \(-0.145793\pi\) |
−0.143368 | + | 0.989669i | \(0.545793\pi\) | |||||||
\(614\) | −3.28893 | − | 31.2921i | −0.132730 | − | 1.26285i | ||||
\(615\) | −16.4882 | + | 6.62455i | −0.664870 | + | 0.267128i | ||||
\(616\) | 0.261838 | − | 2.49122i | 0.0105497 | − | 0.100374i | ||||
\(617\) | −32.4667 | + | 36.0580i | −1.30706 | + | 1.45164i | −0.493998 | + | 0.869463i | \(0.664465\pi\) |
−0.813063 | + | 0.582176i | \(0.802202\pi\) | |||||||
\(618\) | −9.76186 | + | 3.48395i | −0.392679 | + | 0.140145i | ||||
\(619\) | 12.4668 | + | 2.64990i | 0.501084 | + | 0.106509i | 0.451518 | − | 0.892262i | \(-0.350883\pi\) |
0.0495662 | + | 0.998771i | \(0.484216\pi\) | |||||||
\(620\) | −0.698904 | + | 10.6570i | −0.0280687 | + | 0.427996i | ||||
\(621\) | −3.76016 | + | 10.8731i | −0.150890 | + | 0.436324i | ||||
\(622\) | 4.09931 | − | 12.6164i | 0.164367 | − | 0.505871i | ||||
\(623\) | 1.68409 | + | 16.0230i | 0.0674715 | + | 0.641948i | ||||
\(624\) | −10.9684 | + | 3.91457i | −0.439089 | + | 0.156708i | ||||
\(625\) | −6.46681 | − | 24.1491i | −0.258672 | − | 0.965965i | ||||
\(626\) | −1.01413 | − | 1.75652i | −0.0405326 | − | 0.0702046i | ||||
\(627\) | 0.120489 | + | 0.251017i | 0.00481187 | + | 0.0100246i | ||||
\(628\) | −1.09968 | − | 1.22132i | −0.0438819 | − | 0.0487358i | ||||
\(629\) | −13.9467 | + | 42.9237i | −0.556093 | + | 1.71148i | ||||
\(630\) | −6.35856 | + | 0.615642i | −0.253331 | + | 0.0245277i | ||||
\(631\) | −11.5792 | − | 35.6371i | −0.460960 | − | 1.41869i | −0.863993 | − | 0.503504i | \(-0.832044\pi\) |
0.403033 | − | 0.915186i | \(-0.367956\pi\) | |||||||
\(632\) | −7.82272 | + | 13.5494i | −0.311171 | + | 0.538964i | ||||
\(633\) | −1.21698 | + | 2.95864i | −0.0483704 | + | 0.117595i | ||||
\(634\) | −0.169876 | + | 1.61626i | −0.00674664 | + | 0.0641900i | ||||
\(635\) | −13.8921 | + | 26.4021i | −0.551291 | + | 1.04774i | ||||
\(636\) | −10.3199 | − | 0.786612i | −0.409211 | − | 0.0311912i | ||||
\(637\) | −37.4272 | + | 16.6637i | −1.48292 | + | 0.660238i | ||||
\(638\) | 16.7246 | + | 12.1512i | 0.662134 | + | 0.481069i | ||||
\(639\) | 0.0445879 | − | 0.169746i | 0.00176387 | − | 0.00671505i | ||||
\(640\) | −2.07685 | − | 0.828670i | −0.0820947 | − | 0.0327561i | ||||
\(641\) | −15.3159 | + | 6.81907i | −0.604941 | + | 0.269337i | −0.686266 | − | 0.727351i | \(-0.740751\pi\) |
0.0813254 | + | 0.996688i | \(0.474085\pi\) | |||||||
\(642\) | −9.86951 | + | 1.32410i | −0.389519 | + | 0.0522579i | ||||
\(643\) | 2.86645 | + | 4.96483i | 0.113042 | + | 0.195794i | 0.916995 | − | 0.398898i | \(-0.130607\pi\) |
−0.803954 | + | 0.594692i | \(0.797274\pi\) | |||||||
\(644\) | 1.41089 | − | 1.56695i | 0.0555968 | − | 0.0617465i | ||||
\(645\) | 35.6414 | + | 1.31376i | 1.40338 | + | 0.0517291i | ||||
\(646\) | 0.237688 | + | 0.263979i | 0.00935170 | + | 0.0103861i | ||||
\(647\) | −12.5057 | + | 38.4886i | −0.491651 | + | 1.51314i | 0.330462 | + | 0.943819i | \(0.392796\pi\) |
−0.822112 | + | 0.569325i | \(0.807204\pi\) | |||||||
\(648\) | −3.74149 | − | 8.18543i | −0.146980 | − | 0.321554i | ||||
\(649\) | −10.2190 | −0.401132 | ||||||||
\(650\) | −20.4681 | + | 26.6704i | −0.802827 | + | 1.04610i | ||||
\(651\) | 7.41973 | − | 2.64806i | 0.290802 | − | 0.103786i | ||||
\(652\) | −21.6680 | − | 9.64722i | −0.848585 | − | 0.377814i | ||||
\(653\) | −6.09717 | + | 1.29599i | −0.238601 | + | 0.0507162i | −0.325660 | − | 0.945487i | \(-0.605586\pi\) |
0.0870591 | + | 0.996203i | \(0.472253\pi\) | |||||||
\(654\) | 13.5687 | + | 7.32395i | 0.530577 | + | 0.286389i | ||||
\(655\) | −4.49384 | + | 15.9316i | −0.175589 | + | 0.622501i | ||||
\(656\) | 1.41777 | + | 4.36345i | 0.0553547 | + | 0.170364i | ||||
\(657\) | −19.4659 | + | 15.9226i | −0.759436 | + | 0.621201i | ||||
\(658\) | −0.795558 | − | 2.44848i | −0.0310141 | − | 0.0954515i | ||||
\(659\) | −6.38110 | + | 2.84105i | −0.248572 | + | 0.110672i | −0.527241 | − | 0.849716i | \(-0.676774\pi\) |
0.278669 | + | 0.960387i | \(0.410107\pi\) | |||||||
\(660\) | 7.09096 | − | 7.31450i | 0.276015 | − | 0.284716i | ||||
\(661\) | −37.8643 | − | 16.8583i | −1.47275 | − | 0.655711i | −0.495658 | − | 0.868518i | \(-0.665073\pi\) |
−0.977094 | + | 0.212806i | \(0.931740\pi\) | |||||||
\(662\) | 2.78119 | − | 26.4612i | 0.108094 | − | 1.02845i | ||||
\(663\) | −15.9642 | − | 65.7812i | −0.619998 | − | 2.55473i | ||||
\(664\) | 0.936175 | + | 8.90711i | 0.0363306 | + | 0.345663i | ||||
\(665\) | −0.126137 | + | 0.0320296i | −0.00489138 | + | 0.00124205i | ||||
\(666\) | 10.4733 | − | 20.8079i | 0.405832 | − | 0.806288i | ||||
\(667\) | 5.37732 | + | 16.5497i | 0.208210 | + | 0.640806i | ||||
\(668\) | −0.270085 | + | 0.467802i | −0.0104499 | + | 0.0180998i | ||||
\(669\) | −29.0783 | + | 3.90115i | −1.12423 | + | 0.150827i | ||||
\(670\) | 30.5712 | + | 5.25428i | 1.18107 | + | 0.202991i | ||||
\(671\) | 0.423899 | − | 0.0901026i | 0.0163645 | − | 0.00347837i | ||||
\(672\) | 0.0472405 | + | 1.64877i | 0.00182234 | + | 0.0636028i | ||||
\(673\) | −1.67258 | − | 15.9135i | −0.0644730 | − | 0.613420i | −0.978282 | − | 0.207277i | \(-0.933540\pi\) |
0.913809 | − | 0.406143i | \(-0.133127\pi\) | |||||||
\(674\) | 4.92570 | 0.189731 | ||||||||
\(675\) | −21.8922 | − | 13.9903i | −0.842633 | − | 0.538488i | ||||
\(676\) | 32.2102 | 1.23886 | ||||||||
\(677\) | 4.74253 | + | 45.1221i | 0.182270 | + | 1.73418i | 0.578193 | + | 0.815900i | \(0.303758\pi\) |
−0.395923 | + | 0.918284i | \(0.629575\pi\) | |||||||
\(678\) | 0.229103 | + | 7.99609i | 0.00879866 | + | 0.307088i | ||||
\(679\) | 11.4256 | − | 2.42859i | 0.438475 | − | 0.0932007i | ||||
\(680\) | 6.05191 | − | 11.5017i | 0.232080 | − | 0.441071i | ||||
\(681\) | 9.59750 | − | 1.28760i | 0.367777 | − | 0.0493410i | ||||
\(682\) | −6.28162 | + | 10.8801i | −0.240536 | + | 0.416620i | ||||
\(683\) | −12.4853 | − | 38.4258i | −0.477737 | − | 1.47032i | −0.842231 | − | 0.539117i | \(-0.818758\pi\) |
0.364494 | − | 0.931206i | \(-0.381242\pi\) | |||||||
\(684\) | −0.100613 | − | 0.153272i | −0.00384704 | − | 0.00586049i | ||||
\(685\) | −0.0182466 | + | 0.0219374i | −0.000697166 | + | 0.000838186i | ||||
\(686\) | 1.30333 | + | 12.4004i | 0.0497615 | + | 0.473449i | ||||
\(687\) | 4.86415 | + | 20.0429i | 0.185579 | + | 0.764685i | ||||
\(688\) | 0.962583 | − | 9.15837i | 0.0366981 | − | 0.349160i | ||||
\(689\) | 36.7047 | + | 16.3420i | 1.39834 | + | 0.622580i | ||||
\(690\) | 8.44788 | − | 1.47272i | 0.321605 | − | 0.0560655i | ||||
\(691\) | 20.0498 | − | 8.92675i | 0.762731 | − | 0.339590i | 0.0117650 | − | 0.999931i | \(-0.496255\pi\) |
0.750966 | + | 0.660341i | \(0.229588\pi\) | |||||||
\(692\) | 4.80368 | + | 14.7842i | 0.182608 | + | 0.562011i | ||||
\(693\) | −7.02888 | − | 2.65846i | −0.267005 | − | 0.100987i | ||||
\(694\) | −7.94663 | − | 24.4572i | −0.301650 | − | 0.928383i | ||||
\(695\) | 5.50362 | − | 0.216028i | 0.208764 | − | 0.00819443i | ||||
\(696\) | −11.9789 | − | 6.46587i | −0.454061 | − | 0.245088i | ||||
\(697\) | −26.0842 | + | 5.54437i | −0.988009 | + | 0.210008i | ||||
\(698\) | 3.61592 | + | 1.60991i | 0.136864 | + | 0.0609360i | ||||
\(699\) | −31.7738 | + | 11.3399i | −1.20180 | + | 0.428914i | ||||
\(700\) | 2.69668 | + | 3.92433i | 0.101925 | + | 0.148326i | ||||
\(701\) | −25.6091 | −0.967242 | −0.483621 | − | 0.875277i | \(-0.660679\pi\) | ||||
−0.483621 | + | 0.875277i | \(0.660679\pi\) | |||||||
\(702\) | 2.99862 | + | 34.8093i | 0.113176 | + | 1.31379i | ||||
\(703\) | 0.146646 | − | 0.451330i | 0.00553086 | − | 0.0170222i | ||||
\(704\) | −1.76007 | − | 1.95475i | −0.0663351 | − | 0.0736726i | ||||
\(705\) | 3.60009 | − | 9.83185i | 0.135587 | − | 0.370289i | ||||
\(706\) | −22.9484 | + | 25.4867i | −0.863673 | + | 0.959206i | ||||
\(707\) | −5.35764 | − | 9.27970i | −0.201495 | − | 0.348999i | ||||
\(708\) | 6.66926 | − | 0.894749i | 0.250646 | − | 0.0336267i | ||||
\(709\) | 9.33786 | − | 4.15749i | 0.350691 | − | 0.156138i | −0.223829 | − | 0.974629i | \(-0.571856\pi\) |
0.574520 | + | 0.818491i | \(0.305189\pi\) | |||||||
\(710\) | −0.126790 | + | 0.0321953i | −0.00475833 | + | 0.00120827i | ||||
\(711\) | 33.3522 | + | 33.0250i | 1.25080 | + | 1.23854i | ||||
\(712\) | 13.6870 | + | 9.94420i | 0.512943 | + | 0.372675i | ||||
\(713\) | −9.66087 | + | 4.30130i | −0.361802 | + | 0.161085i | ||||
\(714\) | −9.55940 | − | 0.728644i | −0.357751 | − | 0.0272688i | ||||
\(715\) | −35.4700 | + | 17.4902i | −1.32650 | + | 0.654096i | ||||
\(716\) | −1.64308 | + | 15.6329i | −0.0614049 | + | 0.584229i | ||||
\(717\) | 6.81052 | − | 16.5573i | 0.254343 | − | 0.618345i | ||||
\(718\) | −6.12727 | + | 10.6127i | −0.228668 | + | 0.396064i | ||||
\(719\) | 6.49377 | + | 19.9858i | 0.242177 | + | 0.745344i | 0.996088 | + | 0.0883672i | \(0.0281649\pi\) |
−0.753911 | + | 0.656976i | \(0.771835\pi\) | |||||||
\(720\) | −3.98735 | + | 5.39454i | −0.148600 | + | 0.201043i | ||||
\(721\) | 1.76103 | − | 5.41989i | 0.0655842 | − | 0.201847i | ||||
\(722\) | 12.7110 | + | 14.1170i | 0.473054 | + | 0.525379i | ||||
\(723\) | −10.7917 | − | 22.4825i | −0.401347 | − | 0.836134i | ||||
\(724\) | 1.83883 | + | 3.18495i | 0.0683396 | + | 0.118368i | ||||
\(725\) | −39.1752 | + | 3.08016i | −1.45493 | + | 0.114394i | ||||
\(726\) | −6.65738 | + | 2.37598i | −0.247078 | + | 0.0881808i | ||||
\(727\) | −4.20613 | − | 40.0187i | −0.155997 | − | 1.48421i | −0.740081 | − | 0.672518i | \(-0.765213\pi\) |
0.584084 | − | 0.811693i | \(-0.301454\pi\) | |||||||
\(728\) | 1.97870 | − | 6.08980i | 0.0733354 | − | 0.225703i | ||||
\(729\) | −26.6022 | + | 4.61753i | −0.985268 | + | 0.171020i | ||||
\(730\) | 17.4099 | + | 6.94663i | 0.644371 | + | 0.257106i | ||||
\(731\) | 52.3549 | + | 11.1284i | 1.93642 | + | 0.411598i | ||||
\(732\) | −0.268761 | + | 0.0959192i | −0.00993369 | + | 0.00354528i | ||||
\(733\) | 6.50899 | − | 7.22897i | 0.240415 | − | 0.267008i | −0.610847 | − | 0.791749i | \(-0.709171\pi\) |
0.851262 | + | 0.524741i | \(0.175838\pi\) | |||||||
\(734\) | −3.96075 | + | 37.6840i | −0.146194 | + | 1.39094i | ||||
\(735\) | −12.5440 | + | 19.9884i | −0.462694 | + | 0.737283i | ||||
\(736\) | −0.231440 | − | 2.20200i | −0.00853098 | − | 0.0811668i | ||||
\(737\) | 29.5206 | + | 21.4480i | 1.08741 | + | 0.790046i | ||||
\(738\) | 13.7414 | − | 0.788083i | 0.505829 | − | 0.0290097i | ||||
\(739\) | −18.9777 | + | 13.7881i | −0.698107 | + | 0.507204i | −0.879315 | − | 0.476241i | \(-0.841999\pi\) |
0.181208 | + | 0.983445i | \(0.441999\pi\) | |||||||
\(740\) | −17.3497 | + | 0.681012i | −0.637788 | + | 0.0250345i | ||||
\(741\) | 0.167859 | + | 0.691670i | 0.00616646 | + | 0.0254091i | ||||
\(742\) | 3.80770 | − | 4.22888i | 0.139785 | − | 0.155247i | ||||
\(743\) | 19.0180 | + | 32.9401i | 0.697701 | + | 1.20845i | 0.969262 | + | 0.246032i | \(0.0791270\pi\) |
−0.271560 | + | 0.962421i | \(0.587540\pi\) | |||||||
\(744\) | 3.14695 | − | 7.65069i | 0.115373 | − | 0.280488i | ||||
\(745\) | 19.7381 | + | 13.1897i | 0.723148 | + | 0.483232i | ||||
\(746\) | 3.73207 | − | 11.4861i | 0.136641 | − | 0.420537i | ||||
\(747\) | 26.5581 | + | 4.07233i | 0.971711 | + | 0.148999i | ||||
\(748\) | 12.3687 | − | 8.98642i | 0.452246 | − | 0.328576i | ||||
\(749\) | 2.73752 | − | 4.74152i | 0.100027 | − | 0.173252i | ||||
\(750\) | −1.22111 | + | 19.3264i | −0.0445886 | + | 0.705700i | ||||
\(751\) | 0.758836 | + | 1.31434i | 0.0276903 | + | 0.0479610i | 0.879538 | − | 0.475828i | \(-0.157851\pi\) |
−0.851848 | + | 0.523789i | \(0.824518\pi\) | |||||||
\(752\) | −2.46968 | − | 1.09957i | −0.0900601 | − | 0.0400973i | ||||
\(753\) | −0.993364 | − | 34.6701i | −0.0362002 | − | 1.26345i | ||||
\(754\) | 35.3598 | + | 39.2710i | 1.28773 | + | 1.43016i | ||||
\(755\) | 2.14335 | − | 32.6822i | 0.0780046 | − | 1.18943i | ||||
\(756\) | 4.82004 | + | 1.11957i | 0.175303 | + | 0.0407183i | ||||
\(757\) | 6.48779 | 0.235803 | 0.117901 | − | 0.993025i | \(-0.462383\pi\) | ||||
0.117901 | + | 0.993025i | \(0.462383\pi\) | |||||||
\(758\) | 25.4458 | + | 5.40867i | 0.924233 | + | 0.196452i | ||||
\(759\) | 9.67910 | + | 2.84116i | 0.351329 | + | 0.103127i | ||||
\(760\) | −0.0636341 | + | 0.120937i | −0.00230825 | + | 0.00438686i | ||||
\(761\) | 15.5331 | + | 6.91579i | 0.563075 | + | 0.250697i | 0.668477 | − | 0.743732i | \(-0.266946\pi\) |
−0.105402 | + | 0.994430i | \(0.533613\pi\) | |||||||
\(762\) | 16.7236 | − | 15.9486i | 0.605832 | − | 0.577757i | ||||
\(763\) | −7.74475 | + | 3.44818i | −0.280379 | + | 0.124833i | ||||
\(764\) | −11.6397 | + | 8.45674i | −0.421110 | + | 0.305954i | ||||
\(765\) | −28.7605 | − | 26.3262i | −1.03984 | − | 0.951828i | ||||
\(766\) | 26.1962 | + | 19.0326i | 0.946506 | + | 0.687677i | ||||
\(767\) | −25.5513 | − | 5.43110i | −0.922605 | − | 0.196106i | ||||
\(768\) | 1.31983 | + | 1.12163i | 0.0476252 | + | 0.0404733i | ||||
\(769\) | 26.2392 | − | 29.1416i | 0.946211 | − | 1.05087i | −0.0524235 | − | 0.998625i | \(-0.516695\pi\) |
0.998634 | − | 0.0522485i | \(-0.0166388\pi\) | |||||||
\(770\) | 0.803523 | + | 5.54328i | 0.0289570 | + | 0.199766i | ||||
\(771\) | 0.612619 | − | 0.377493i | 0.0220630 | − | 0.0135951i | ||||
\(772\) | −0.346251 | − | 0.384551i | −0.0124618 | − | 0.0138403i | ||||
\(773\) | 20.9024 | − | 15.1865i | 0.751807 | − | 0.546220i | −0.144579 | − | 0.989493i | \(-0.546183\pi\) |
0.896387 | + | 0.443273i | \(0.146183\pi\) | |||||||
\(774\) | −25.8400 | − | 9.77321i | −0.928799 | − | 0.351291i | ||||
\(775\) | −4.35019 | − | 23.4815i | −0.156263 | − | 0.843479i | ||||
\(776\) | 6.13291 | − | 10.6225i | 0.220159 | − | 0.381326i | ||||
\(777\) | 5.54245 | + | 11.5467i | 0.198834 | + | 0.414235i | ||||
\(778\) | −32.7106 | + | 6.95286i | −1.17273 | + | 0.249272i | ||||
\(779\) | 0.274268 | − | 0.0582974i | 0.00982667 | − | 0.00208872i | ||||
\(780\) | 21.6175 | − | 14.5203i | 0.774029 | − | 0.519910i | ||||
\(781\) | −0.150519 | − | 0.0319937i | −0.00538598 | − | 0.00114483i | ||||
\(782\) | 12.8692 | 0.460203 | ||||||||
\(783\) | −27.8911 | + | 29.8297i | −0.996747 | + | 1.06602i | ||||
\(784\) | 4.92943 | + | 3.58144i | 0.176051 | + | 0.127908i | ||||
\(785\) | 3.05545 | + | 2.04175i | 0.109054 | + | 0.0728733i | ||||
\(786\) | 7.23647 | − | 10.5849i | 0.258116 | − | 0.377551i | ||||
\(787\) | −2.58388 | + | 24.5839i | −0.0921053 | + | 0.876323i | 0.846745 | + | 0.531998i | \(0.178559\pi\) |
−0.938851 | + | 0.344325i | \(0.888108\pi\) | |||||||
\(788\) | −0.477965 | + | 4.54754i | −0.0170268 | + | 0.161999i | ||||
\(789\) | −13.2020 | − | 27.5040i | −0.470005 | − | 0.979170i | ||||
\(790\) | 9.49743 | − | 33.6704i | 0.337903 | − | 1.19794i | ||||
\(791\) | −3.55821 | − | 2.58519i | −0.126515 | − | 0.0919188i | ||||
\(792\) | −7.01332 | + | 3.61711i | −0.249208 | + | 0.128528i | ||||
\(793\) | 1.10779 | 0.0393388 | ||||||||
\(794\) | −21.7190 | − | 4.61652i | −0.770779 | − | 0.163834i | ||||
\(795\) | 22.7991 | − | 3.97457i | 0.808600 | − | 0.140963i | ||||
\(796\) | 7.63710 | − | 1.62332i | 0.270690 | − | 0.0575369i | ||||
\(797\) | 29.3053 | − | 6.22903i | 1.03805 | − | 0.220643i | 0.342795 | − | 0.939410i | \(-0.388626\pi\) |
0.695251 | + | 0.718767i | \(0.255293\pi\) | |||||||
\(798\) | 0.100514 | + | 0.00766149i | 0.00355817 | + | 0.000271214i | ||||
\(799\) | 7.85652 | − | 13.6079i | 0.277944 | − | 0.481413i | ||||
\(800\) | 4.95717 | + | 0.653007i | 0.175263 | + | 0.0230873i | ||||
\(801\) | 39.2856 | − | 32.1347i | 1.38809 | − | 1.13542i | ||||
\(802\) | 26.7790 | − | 19.4561i | 0.945599 | − | 0.687018i | ||||
\(803\) | 14.7544 | + | 16.3864i | 0.520672 | + | 0.578265i | ||||
\(804\) | −21.1440 | − | 11.4129i | −0.745691 | − | 0.402501i | ||||
\(805\) | −2.19546 | + | 4.17249i | −0.0773796 | + | 0.147061i | ||||
\(806\) | −21.4888 | + | 23.8657i | −0.756910 | + | 0.840634i | ||||
\(807\) | −15.0265 | + | 5.36288i | −0.528959 | + | 0.188782i | ||||
\(808\) | −11.0060 | − | 2.33940i | −0.387189 | − | 0.0822997i | ||||
\(809\) | 5.45075 | + | 3.96020i | 0.191638 | + | 0.139233i | 0.679467 | − | 0.733706i | \(-0.262211\pi\) |
−0.487829 | + | 0.872939i | \(0.662211\pi\) | |||||||
\(810\) | 12.6136 | + | 15.6811i | 0.443197 | + | 0.550978i | ||||
\(811\) | −23.0352 | + | 16.7360i | −0.808874 | + | 0.587681i | −0.913504 | − | 0.406830i | \(-0.866634\pi\) |
0.104630 | + | 0.994511i | \(0.466634\pi\) | |||||||
\(812\) | 6.83736 | − | 3.04419i | 0.239944 | − | 0.106830i | ||||
\(813\) | −20.7567 | − | 6.09283i | −0.727970 | − | 0.213685i | ||||
\(814\) | −18.6591 | − | 8.30756i | −0.654001 | − | 0.291180i | ||||
\(815\) | 52.2700 | + | 8.98367i | 1.83094 | + | 0.314684i | ||||
\(816\) | −7.28541 | + | 6.94780i | −0.255040 | + | 0.243221i | ||||
\(817\) | −0.550497 | − | 0.117012i | −0.0192595 | − | 0.00409372i | ||||
\(818\) | −10.7361 | −0.375379 | ||||||||
\(819\) | −16.1619 | − | 10.3828i | −0.564742 | − | 0.362803i | ||||
\(820\) | −5.47407 | − | 8.67660i | −0.191163 | − | 0.303000i | ||||
\(821\) | 0.252305 | + | 0.280213i | 0.00880551 | + | 0.00977950i | 0.747531 | − | 0.664226i | \(-0.231239\pi\) |
−0.738726 | + | 0.674006i | \(0.764572\pi\) | |||||||
\(822\) | 0.0188168 | − | 0.0115948i | 0.000656312 | − | 0.000404416i | ||||
\(823\) | −17.6923 | − | 7.87713i | −0.616716 | − | 0.274579i | 0.0745080 | − | 0.997220i | \(-0.476261\pi\) |
−0.691224 | + | 0.722641i | \(0.742928\pi\) | |||||||
\(824\) | −2.99210 | − | 5.18246i | −0.104235 | − | 0.180540i | ||||
\(825\) | −11.3427 | + | 19.7550i | −0.394904 | + | 0.687781i | ||||
\(826\) | −1.84986 | + | 3.20405i | −0.0643649 | + | 0.111483i | ||||
\(827\) | 38.5717 | − | 28.0240i | 1.34127 | − | 0.974490i | 0.341874 | − | 0.939746i | \(-0.388939\pi\) |
0.999396 | − | 0.0347437i | \(-0.0110615\pi\) | |||||||
\(828\) | −6.56565 | − | 1.00675i | −0.228172 | − | 0.0349871i | ||||
\(829\) | 12.0926 | − | 37.2173i | 0.419995 | − | 1.29261i | −0.487712 | − | 0.873005i | \(-0.662168\pi\) |
0.907707 | − | 0.419606i | \(-0.137832\pi\) | |||||||
\(830\) | −6.93084 | − | 18.7891i | −0.240573 | − | 0.652178i | ||||
\(831\) | 21.9234 | − | 2.94125i | 0.760514 | − | 0.102031i | ||||
\(832\) | −3.36193 | − | 5.82303i | −0.116554 | − | 0.201877i | ||||
\(833\) | −23.6973 | + | 26.3185i | −0.821063 | + | 0.911882i | ||||
\(834\) | −4.09365 | − | 1.20163i | −0.141752 | − | 0.0416091i | ||||
\(835\) | 0.327906 | − | 1.16250i | 0.0113476 | − | 0.0402299i | ||||
\(836\) | −0.130054 | + | 0.0944897i | −0.00449801 | + | 0.00326799i | ||||
\(837\) | −19.8005 | − | 14.9622i | −0.684405 | − | 0.517169i | ||||
\(838\) | 8.56106 | + | 6.21998i | 0.295737 | + | 0.214866i | ||||
\(839\) | −2.33439 | − | 22.2102i | −0.0805921 | − | 0.766782i | −0.957948 | − | 0.286942i | \(-0.907361\pi\) |
0.877356 | − | 0.479840i | \(-0.159305\pi\) | |||||||
\(840\) | −1.00976 | − | 3.54737i | −0.0348400 | − | 0.122396i | ||||
\(841\) | −3.42513 | + | 32.5880i | −0.118108 | + | 1.12372i | ||||
\(842\) | 3.62196 | − | 4.02259i | 0.124821 | − | 0.138628i | ||||
\(843\) | −1.33021 | + | 7.27720i | −0.0458149 | + | 0.250640i | ||||
\(844\) | −1.80667 | − | 0.384019i | −0.0621881 | − | 0.0132185i | ||||
\(845\) | −69.8088 | + | 17.7264i | −2.40150 | + | 0.609805i | ||||
\(846\) | −5.07280 | + | 6.32790i | −0.174406 | + | 0.217558i | ||||
\(847\) | 1.20098 | − | 3.69625i | 0.0412663 | − | 0.127005i | ||||
\(848\) | −0.624608 | − | 5.94275i | −0.0214491 | − | 0.204075i | ||||
\(849\) | −16.7555 | − | 14.2393i | −0.575047 | − | 0.488691i | ||||
\(850\) | −6.78644 | + | 28.2581i | −0.232773 | + | 0.969245i | ||||
\(851\) | −8.59636 | − | 14.8893i | −0.294679 | − | 0.510400i | ||||
\(852\) | 0.101035 | + | 0.00770113i | 0.00346139 | + | 0.000263836i | ||||
\(853\) | −11.6591 | − | 12.9488i | −0.399201 | − | 0.443357i | 0.509711 | − | 0.860346i | \(-0.329752\pi\) |
−0.908912 | + | 0.416988i | \(0.863086\pi\) | |||||||
\(854\) | 0.0484842 | − | 0.149219i | 0.00165910 | − | 0.00510617i | ||||
\(855\) | 0.302408 | + | 0.276813i | 0.0103421 | + | 0.00946681i | ||||
\(856\) | −1.77661 | − | 5.46783i | −0.0607231 | − | 0.186887i | ||||
\(857\) | −0.115723 | + | 0.200438i | −0.00395302 | + | 0.00684684i | −0.867995 | − | 0.496573i | \(-0.834592\pi\) |
0.864042 | + | 0.503420i | \(0.167925\pi\) | |||||||
\(858\) | 30.3616 | − | 4.07331i | 1.03653 | − | 0.139061i | ||||
\(859\) | −3.36640 | + | 32.0291i | −0.114860 | + | 1.09282i | 0.773539 | + | 0.633748i | \(0.218485\pi\) |
−0.888399 | + | 0.459072i | \(0.848182\pi\) | |||||||
\(860\) | 2.95396 | + | 20.3786i | 0.100729 | + | 0.694903i | ||||
\(861\) | −4.27100 | + | 6.24727i | −0.145555 | + | 0.212906i | ||||
\(862\) | 6.33317 | − | 2.81971i | 0.215709 | − | 0.0960397i | ||||
\(863\) | 1.71655 | + | 1.24715i | 0.0584322 | + | 0.0424535i | 0.616618 | − | 0.787263i | \(-0.288502\pi\) |
−0.558186 | + | 0.829716i | \(0.688502\pi\) | |||||||
\(864\) | 4.26041 | − | 2.97471i | 0.144942 | − | 0.101202i | ||||
\(865\) | −18.5472 | − | 29.3980i | −0.630623 | − | 0.999562i | ||||
\(866\) | −0.131106 | + | 0.0583722i | −0.00445516 | + | 0.00198357i | ||||
\(867\) | −17.7529 | − | 23.0184i | −0.602920 | − | 0.781744i | ||||
\(868\) | 2.27421 | + | 3.93905i | 0.0771919 | + | 0.133700i | ||||
\(869\) | 27.5371 | − | 30.5830i | 0.934131 | − | 1.03746i | ||||
\(870\) | 29.5202 | + | 7.42098i | 1.00083 | + | 0.251595i | ||||
\(871\) | 62.4134 | + | 69.3171i | 2.11480 | + | 2.34872i | ||||
\(872\) | −2.75094 | + | 8.46652i | −0.0931585 | + | 0.286712i | ||||
\(873\) | −26.1477 | − | 25.8912i | −0.884964 | − | 0.876284i | ||||
\(874\) | −0.135316 | −0.00457714 | ||||||||
\(875\) | −8.00416 | − | 7.02107i | −0.270590 | − | 0.237355i | ||||
\(876\) | −11.0639 | − | 9.40245i | −0.373816 | − | 0.317679i | ||||
\(877\) | −37.1912 | − | 16.5586i | −1.25586 | − | 0.559144i | −0.332507 | − | 0.943101i | \(-0.607894\pi\) |
−0.923351 | + | 0.383957i | \(0.874561\pi\) | |||||||
\(878\) | −1.16094 | + | 0.246765i | −0.0391798 | + | 0.00832792i | ||||
\(879\) | 32.7119 | − | 20.1569i | 1.10334 | − | 0.679876i | ||||
\(880\) | 4.89034 | + | 3.26789i | 0.164853 | + | 0.110161i | ||||
\(881\) | −16.7244 | − | 51.4724i | −0.563459 | − | 1.73415i | −0.672486 | − | 0.740110i | \(-0.734773\pi\) |
0.109026 | − | 0.994039i | \(-0.465227\pi\) | |||||||
\(882\) | 14.1488 | − | 11.5734i | 0.476416 | − | 0.389697i | ||||
\(883\) | −8.08984 | − | 24.8980i | −0.272245 | − | 0.837883i | −0.989935 | − | 0.141521i | \(-0.954801\pi\) |
0.717691 | − | 0.696362i | \(-0.245199\pi\) | |||||||
\(884\) | 35.7024 | − | 15.8957i | 1.20080 | − | 0.534632i | ||||
\(885\) | −13.9618 | + | 5.60949i | −0.469320 | + | 0.188561i | ||||
\(886\) | −18.5761 | − | 8.27062i | −0.624077 | − | 0.277857i | ||||
\(887\) | 5.03904 | − | 47.9433i | 0.169195 | − | 1.60978i | −0.499549 | − | 0.866286i | \(-0.666501\pi\) |
0.668744 | − | 0.743493i | \(-0.266832\pi\) | |||||||
\(888\) | 12.9049 | + | 3.78804i | 0.433060 | + | 0.127118i | ||||
\(889\) | 1.32812 | + | 12.6362i | 0.0445438 | + | 0.423806i | ||||
\(890\) | −35.1363 | − | 14.0195i | −1.17777 | − | 0.469935i | ||||
\(891\) | 5.14998 | + | 23.1065i | 0.172531 | + | 0.774096i | ||||
\(892\) | −5.23437 | − | 16.1097i | −0.175260 | − | 0.539394i | ||||
\(893\) | −0.0826091 | + | 0.143083i | −0.00276441 | + | 0.00478810i | ||||
\(894\) | −11.2301 | − | 14.5609i | −0.375591 | − | 0.486990i | ||||
\(895\) | −5.04227 | − | 34.7852i | −0.168544 | − | 1.16274i | ||||
\(896\) | −0.931500 | + | 0.197996i | −0.0311192 | + | 0.00661460i | ||||
\(897\) | 22.6913 | + | 12.2481i | 0.757642 | + | 0.408952i | ||||
\(898\) | 1.40737 | + | 13.3902i | 0.0469646 | + | 0.446838i | ||||
\(899\) | −37.5373 | −1.25194 | ||||||||
\(900\) | 5.67294 | − | 13.8859i | 0.189098 | − | 0.462863i | ||||
\(901\) | 34.7314 | 1.15707 | ||||||||
\(902\) | −1.26147 | − | 12.0021i | −0.0420024 | − | 0.399626i | ||||
\(903\) | 12.9316 | − | 7.96837i | 0.430336 | − | 0.265171i | ||||
\(904\) | −4.51752 | + | 0.960228i | −0.150250 | + | 0.0319367i | ||||
\(905\) | −5.73805 | − | 5.89072i | −0.190739 | − | 0.195814i | ||||
\(906\) | −9.65086 | + | 23.4626i | −0.320628 | + | 0.779493i | ||||
\(907\) | 9.21567 | − | 15.9620i | 0.306001 | − | 0.530010i | −0.671482 | − | 0.741020i | \(-0.734342\pi\) |
0.977484 | + | 0.211011i | \(0.0676755\pi\) | |||||||
\(908\) | 1.72764 | + | 5.31713i | 0.0573338 | + | 0.176455i | ||||
\(909\) | −15.1763 | + | 30.1516i | −0.503367 | + | 1.00007i | ||||
\(910\) | −0.936984 | + | 14.2873i | −0.0310607 | + | 0.473619i | ||||
\(911\) | −1.78243 | − | 16.9587i | −0.0590545 | − | 0.561866i | −0.983545 | − | 0.180661i | \(-0.942176\pi\) |
0.924491 | − | 0.381204i | \(-0.124491\pi\) | |||||||
\(912\) | 0.0766040 | − | 0.0730541i | 0.00253661 | − | 0.00241906i | ||||
\(913\) | 2.46250 | − | 23.4291i | 0.0814968 | − | 0.775390i | ||||
\(914\) | −23.0483 | − | 10.2618i | −0.762370 | − | 0.339429i | ||||
\(915\) | 0.529695 | − | 0.355793i | 0.0175112 | − | 0.0117621i | ||||
\(916\) | −10.8782 | + | 4.84329i | −0.359426 | + | 0.160027i | ||||
\(917\) | 2.17851 | + | 6.70478i | 0.0719409 | + | 0.221411i | ||||
\(918\) | 14.6068 | + | 26.4345i | 0.482097 | + | 0.872468i | ||||
\(919\) | 8.04469 | + | 24.7590i | 0.265370 | + | 0.816724i | 0.991608 | + | 0.129281i | \(0.0412669\pi\) |
−0.726238 | + | 0.687443i | \(0.758733\pi\) | |||||||
\(920\) | 1.71343 | + | 4.64500i | 0.0564901 | + | 0.153141i | ||||
\(921\) | −1.56083 | − | 54.4757i | −0.0514312 | − | 1.79503i | ||||
\(922\) | −4.08173 | + | 0.867598i | −0.134425 | + | 0.0285728i | ||||
\(923\) | −0.359348 | − | 0.159992i | −0.0118281 | − | 0.00526621i | ||||
\(924\) | 0.780148 | − | 4.26797i | 0.0256650 | − | 0.140406i | ||||
\(925\) | 37.2270 | − | 11.0241i | 1.22402 | − | 0.362469i | ||||
\(926\) | −4.88142 | −0.160413 | ||||||||
\(927\) | −17.3178 | + | 4.73187i | −0.568790 | + | 0.155415i | ||||
\(928\) | 2.42864 | − | 7.47457i | 0.0797239 | − | 0.245365i | ||||
\(929\) | 2.88872 | + | 3.20825i | 0.0947759 | + | 0.105259i | 0.788667 | − | 0.614821i | \(-0.210772\pi\) |
−0.693891 | + | 0.720080i | \(0.744105\pi\) | |||||||
\(930\) | −2.60993 | + | 18.3131i | −0.0855828 | + | 0.600510i | ||||
\(931\) | 0.249170 | − | 0.276732i | 0.00816623 | − | 0.00906952i | ||||
\(932\) | −9.73896 | − | 16.8684i | −0.319010 | − | 0.552542i | ||||
\(933\) | 8.74050 | − | 21.2494i | 0.286151 | − | 0.695674i | ||||
\(934\) | 30.0471 | − | 13.3778i | 0.983170 | − | 0.437735i | ||||
\(935\) | −21.8611 | + | 26.2831i | −0.714934 | + | 0.859549i | ||||
\(936\) | −19.4583 | + | 5.31675i | −0.636014 | + | 0.173783i | ||||
\(937\) | 3.76162 | + | 2.73297i | 0.122887 | + | 0.0892824i | 0.647531 | − | 0.762039i | \(-0.275802\pi\) |
−0.524644 | + | 0.851322i | \(0.675802\pi\) | |||||||
\(938\) | 12.0686 | − | 5.37329i | 0.394054 | − | 0.175444i | ||||
\(939\) | −1.52021 | − | 3.16708i | −0.0496102 | − | 0.103354i | ||||
\(940\) | 5.95764 | + | 1.02394i | 0.194317 | + | 0.0333973i | ||||
\(941\) | 3.05206 | − | 29.0384i | 0.0994942 | − | 0.946624i | −0.824924 | − | 0.565244i | \(-0.808782\pi\) |
0.924418 | − | 0.381380i | \(-0.124551\pi\) | |||||||
\(942\) | −1.73842 | − | 2.25402i | −0.0566406 | − | 0.0734401i | ||||
\(943\) | 5.07922 | − | 8.79746i | 0.165402 | − | 0.286485i | ||||
\(944\) | 1.20053 | + | 3.69485i | 0.0390739 | + | 0.120257i | ||||
\(945\) | −11.0625 | + | 0.226198i | −0.359864 | + | 0.00735823i | ||||
\(946\) | −7.48523 | + | 23.0372i | −0.243366 | + | 0.749003i | ||||
\(947\) | 1.43364 | + | 1.59222i | 0.0465871 | + | 0.0517402i | 0.765988 | − | 0.642855i | \(-0.222250\pi\) |
−0.719401 | + | 0.694595i | \(0.755584\pi\) | |||||||
\(948\) | −15.2938 | + | 22.3705i | −0.496720 | + | 0.726560i | ||||
\(949\) | 28.1826 | + | 48.8137i | 0.914845 | + | 1.58456i | ||||
\(950\) | 0.0713575 | − | 0.297126i | 0.00231514 | − | 0.00964004i | ||||
\(951\) | −0.506148 | + | 2.76899i | −0.0164130 | + | 0.0897907i | ||||
\(952\) | −0.578579 | − | 5.50481i | −0.0187518 | − | 0.178412i | ||||
\(953\) | −13.3567 | + | 41.1077i | −0.432666 | + | 1.33161i | 0.462793 | + | 0.886466i | \(0.346847\pi\) |
−0.895459 | + | 0.445144i | \(0.853153\pi\) | |||||||
\(954\) | −17.7193 | − | 2.71702i | −0.573685 | − | 0.0879668i | ||||
\(955\) | 20.5726 | − | 24.7339i | 0.665712 | − | 0.800370i | ||||
\(956\) | 10.1106 | + | 2.14907i | 0.327000 | + | 0.0695060i | ||||
\(957\) | 27.2845 | + | 23.1872i | 0.881984 | + | 0.749535i | ||||
\(958\) | −2.68600 | + | 2.98310i | −0.0867806 | + | 0.0963796i | ||||
\(959\) | −0.00127025 | + | 0.0120857i | −4.10187e−5 | + | 0.000390266i | ||||
\(960\) | −3.47772 | − | 1.70454i | −0.112243 | − | 0.0550139i | ||||
\(961\) | 0.855867 | + | 8.14304i | 0.0276086 | + | 0.262679i | ||||
\(962\) | −42.2394 | − | 30.6887i | −1.36185 | − | 0.989443i | ||||
\(963\) | −17.2194 | + | 0.987545i | −0.554886 | + | 0.0318232i | ||||
\(964\) | 11.6484 | − | 8.46305i | 0.375169 | − | 0.272576i | ||||
\(965\) | 0.962056 | + | 0.642878i | 0.0309697 | + | 0.0206950i | ||||
\(966\) | 2.64294 | − | 2.52046i | 0.0850351 | − | 0.0810944i | ||||
\(967\) | 2.60965 | − | 2.89831i | 0.0839206 | − | 0.0932032i | −0.699722 | − | 0.714415i | \(-0.746693\pi\) |
0.783643 | + | 0.621212i | \(0.213359\pi\) | |||||||
\(968\) | −2.04055 | − | 3.53433i | −0.0655856 | − | 0.113598i | ||||
\(969\) | 0.375747 | + | 0.487192i | 0.0120707 | + | 0.0156509i | ||||
\(970\) | −7.44586 | + | 26.3972i | −0.239072 | + | 0.847563i | ||||
\(971\) | −1.69012 | + | 5.20167i | −0.0542387 | + | 0.166930i | −0.974506 | − | 0.224360i | \(-0.927971\pi\) |
0.920268 | + | 0.391289i | \(0.127971\pi\) | |||||||
\(972\) | −5.38418 | − | 14.6291i | −0.172698 | − | 0.469229i | ||||
\(973\) | 1.89773 | − | 1.37878i | 0.0608384 | − | 0.0442017i | ||||
\(974\) | −3.90138 | + | 6.75738i | −0.125008 | + | 0.216520i | ||||
\(975\) | −38.8602 | + | 43.3665i | −1.24452 | + | 1.38884i | ||||
\(976\) | −0.0823777 | − | 0.142682i | −0.00263685 | − | 0.00456715i | ||||
\(977\) | −5.74840 | − | 2.55935i | −0.183908 | − | 0.0818810i | 0.312717 | − | 0.949846i | \(-0.398761\pi\) |
−0.496625 | + | 0.867965i | \(0.665427\pi\) | |||||||
\(978\) | −36.1516 | − | 19.5135i | −1.15600 | − | 0.623974i | ||||
\(979\) | −29.7770 | − | 33.0707i | −0.951677 | − | 1.05694i | ||||
\(980\) | −12.6545 | − | 5.04918i | −0.404232 | − | 0.161290i | ||||
\(981\) | 22.4695 | + | 14.4349i | 0.717396 | + | 0.460872i | ||||
\(982\) | −25.0369 | −0.798958 | ||||||||
\(983\) | −22.2427 | − | 4.72783i | −0.709431 | − | 0.150794i | −0.160957 | − | 0.986961i | \(-0.551458\pi\) |
−0.548475 | + | 0.836167i | \(0.684791\pi\) | |||||||
\(984\) | 1.87414 | + | 7.72249i | 0.0597455 | + | 0.246184i | ||||
\(985\) | −1.46677 | − | 10.1189i | −0.0467352 | − | 0.322414i | ||||
\(986\) | 41.7311 | + | 18.5799i | 1.32899 | + | 0.591703i | ||||
\(987\) | −1.05164 | − | 4.33335i | −0.0334742 | − | 0.137932i | ||||
\(988\) | −0.375401 | + | 0.167139i | −0.0119431 | + | 0.00531741i | ||||
\(989\) | −16.4955 | + | 11.9847i | −0.524525 | + | 0.381090i | ||||
\(990\) | 13.2093 | − | 11.6990i | 0.419818 | − | 0.371818i | ||||
\(991\) | −20.0157 | − | 14.5423i | −0.635821 | − | 0.461951i | 0.222591 | − | 0.974912i | \(-0.428549\pi\) |
−0.858412 | + | 0.512961i | \(0.828549\pi\) | |||||||
\(992\) | 4.67183 | + | 0.993028i | 0.148331 | + | 0.0315287i | ||||
\(993\) | 8.28658 | − | 45.3335i | 0.262967 | − | 1.43862i | ||||
\(994\) | −0.0372783 | + | 0.0414018i | −0.00118240 | + | 0.00131319i | ||||
\(995\) | −15.6584 | + | 7.72114i | −0.496406 | + | 0.244777i | ||||
\(996\) | 0.444282 | + | 15.5062i | 0.0140776 | + | 0.491332i | ||||
\(997\) | 1.60093 | + | 1.77801i | 0.0507019 | + | 0.0563101i | 0.767962 | − | 0.640495i | \(-0.221271\pi\) |
−0.717260 | + | 0.696805i | \(0.754604\pi\) | |||||||
\(998\) | 33.1816 | − | 24.1079i | 1.05035 | − | 0.763121i | ||||
\(999\) | 20.8269 | − | 34.5573i | 0.658935 | − | 1.09335i |
(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 | 450.2.q.c.61.7 | ✓ | 120 | |
9.4 | even | 3 | inner | 450.2.q.c.211.5 | yes | 120 | |
25.16 | even | 5 | inner | 450.2.q.c.241.5 | yes | 120 | |
225.166 | even | 15 | inner | 450.2.q.c.391.7 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.q.c.61.7 | ✓ | 120 | 1.1 | even | 1 | trivial | |
450.2.q.c.211.5 | yes | 120 | 9.4 | even | 3 | inner | |
450.2.q.c.241.5 | yes | 120 | 25.16 | even | 5 | inner | |
450.2.q.c.391.7 | yes | 120 | 225.166 | even | 15 | inner |