Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [301,2,Mod(9,301)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(301, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("301.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 301 = 7 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 301.ba (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: | \(2.40349710084\) |
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 | 100.4 | ||
Character | \(\chi\) | \(=\) | 301.100 |
Dual form | 301.2.ba.a.298.4 |
$q$-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 \(\left(\mathbb{Z}/301\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(218\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{10}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.178479 | + | 2.38164i | −0.126204 | + | 1.68408i | 0.471115 | + | 0.882072i | \(0.343852\pi\) |
−0.597319 | + | 0.802004i | \(0.703767\pi\) | |||||||
\(3\) | 1.39326 | − | 0.949907i | 0.804398 | − | 0.548429i | −0.0898742 | − | 0.995953i | \(-0.528646\pi\) |
0.894272 | + | 0.447524i | \(0.147694\pi\) | |||||||
\(4\) | −3.66271 | − | 0.552064i | −1.83135 | − | 0.276032i | ||||
\(5\) | −0.253321 | + | 1.10987i | −0.113289 | + | 0.496351i | 0.886167 | + | 0.463366i | \(0.153358\pi\) |
−0.999456 | + | 0.0329847i | \(0.989499\pi\) | |||||||
\(6\) | 2.01367 | + | 3.48778i | 0.822078 | + | 1.42388i | ||||
\(7\) | −2.32959 | + | 1.25420i | −0.880502 | + | 0.474043i | ||||
\(8\) | 0.905635 | − | 3.96785i | 0.320190 | − | 1.40285i | ||||
\(9\) | −0.0571793 | + | 0.145691i | −0.0190598 | + | 0.0485635i | ||||
\(10\) | −2.59811 | − | 0.801411i | −0.821595 | − | 0.253428i | ||||
\(11\) | −0.792086 | + | 2.01820i | −0.238823 | + | 0.608511i | −0.999158 | − | 0.0410199i | \(-0.986939\pi\) |
0.760335 | + | 0.649531i | \(0.225035\pi\) | |||||||
\(12\) | −5.62750 | + | 2.71006i | −1.62452 | + | 0.782328i | ||||
\(13\) | 3.67769 | + | 3.41239i | 1.02001 | + | 0.946428i | 0.998576 | − | 0.0533428i | \(-0.0169876\pi\) |
0.0214301 | + | 0.999770i | \(0.493178\pi\) | |||||||
\(14\) | −2.57127 | − | 5.77210i | −0.687202 | − | 1.54266i | ||||
\(15\) | 0.701335 | + | 1.78697i | 0.181084 | + | 0.461394i | ||||
\(16\) | 2.20932 | + | 0.681486i | 0.552331 | + | 0.170371i | ||||
\(17\) | −0.228404 | − | 1.00070i | −0.0553960 | − | 0.242706i | 0.939648 | − | 0.342143i | \(-0.111153\pi\) |
−0.995044 | + | 0.0994375i | \(0.968296\pi\) | |||||||
\(18\) | −0.336777 | − | 0.162183i | −0.0793792 | − | 0.0382270i | ||||
\(19\) | −0.818180 | + | 1.02597i | −0.187703 | + | 0.235373i | −0.866775 | − | 0.498699i | \(-0.833811\pi\) |
0.679072 | + | 0.734072i | \(0.262383\pi\) | |||||||
\(20\) | 1.54056 | − | 3.92529i | 0.344481 | − | 0.877722i | ||||
\(21\) | −2.05434 | + | 3.96032i | −0.448295 | + | 0.864212i | ||||
\(22\) | −4.66526 | − | 2.24667i | −0.994638 | − | 0.478992i | ||||
\(23\) | −0.389561 | − | 0.488495i | −0.0812292 | − | 0.101858i | 0.739556 | − | 0.673095i | \(-0.235035\pi\) |
−0.820786 | + | 0.571236i | \(0.806464\pi\) | |||||||
\(24\) | −2.50730 | − | 6.38850i | −0.511801 | − | 1.30405i | ||||
\(25\) | 3.33720 | + | 1.60711i | 0.667439 | + | 0.321422i | ||||
\(26\) | −8.78349 | + | 8.14989i | −1.72258 | + | 1.59833i | ||||
\(27\) | 1.18441 | + | 5.18926i | 0.227941 | + | 0.998674i | ||||
\(28\) | 9.22500 | − | 3.30768i | 1.74336 | − | 0.625094i | ||||
\(29\) | 0.705693 | − | 9.41682i | 0.131044 | − | 1.74866i | −0.414023 | − | 0.910266i | \(-0.635877\pi\) |
0.545067 | − | 0.838393i | \(-0.316504\pi\) | |||||||
\(30\) | −4.38110 | + | 1.35139i | −0.799876 | + | 0.246729i | ||||
\(31\) | −0.106225 | + | 1.41747i | −0.0190786 | + | 0.254586i | 0.979507 | + | 0.201412i | \(0.0645529\pi\) |
−0.998585 | + | 0.0531742i | \(0.983066\pi\) | |||||||
\(32\) | 0.956419 | − | 2.43691i | 0.169073 | − | 0.430790i | ||||
\(33\) | 0.813524 | + | 3.56428i | 0.141616 | + | 0.620462i | ||||
\(34\) | 2.42408 | − | 0.365371i | 0.415726 | − | 0.0626606i | ||||
\(35\) | −0.801869 | − | 2.90326i | −0.135541 | − | 0.490741i | ||||
\(36\) | 0.289862 | − | 0.502055i | 0.0483103 | − | 0.0836758i | ||||
\(37\) | 3.25333 | 0.534844 | 0.267422 | − | 0.963579i | \(-0.413828\pi\) | ||||
0.267422 | + | 0.963579i | \(0.413828\pi\) | |||||||
\(38\) | −2.29745 | − | 2.13173i | −0.372696 | − | 0.345812i | ||||
\(39\) | 8.36542 | + | 1.26088i | 1.33954 | + | 0.201903i | ||||
\(40\) | 4.17439 | + | 2.01028i | 0.660029 | + | 0.317853i | ||||
\(41\) | 6.81352 | − | 3.28122i | 1.06409 | − | 0.512440i | 0.181894 | − | 0.983318i | \(-0.441777\pi\) |
0.882198 | + | 0.470878i | \(0.156063\pi\) | |||||||
\(42\) | −9.06540 | − | 5.59955i | −1.39882 | − | 0.864029i | ||||
\(43\) | 6.36829 | − | 1.56362i | 0.971155 | − | 0.238450i | ||||
\(44\) | 4.01536 | − | 6.95480i | 0.605338 | − | 1.04848i | ||||
\(45\) | −0.147213 | − | 0.100368i | −0.0219453 | − | 0.0149620i | ||||
\(46\) | 1.23295 | − | 0.840610i | 0.181788 | − | 0.123941i | ||||
\(47\) | −2.47499 | − | 6.30617i | −0.361014 | − | 0.919850i | −0.989825 | − | 0.142291i | \(-0.954553\pi\) |
0.628810 | − | 0.777559i | \(-0.283542\pi\) | |||||||
\(48\) | 3.72550 | − | 1.14917i | 0.537730 | − | 0.165868i | ||||
\(49\) | 3.85396 | − | 5.84354i | 0.550566 | − | 0.834791i | ||||
\(50\) | −4.42318 | + | 7.66117i | −0.625532 | + | 1.08345i | ||||
\(51\) | −1.26880 | − | 1.17727i | −0.177667 | − | 0.164851i | ||||
\(52\) | −11.5864 | − | 14.5289i | −1.60675 | − | 2.01480i | ||||
\(53\) | −2.57958 | − | 0.795696i | −0.354333 | − | 0.109297i | 0.112478 | − | 0.993654i | \(-0.464121\pi\) |
−0.466811 | + | 0.884357i | \(0.654597\pi\) | |||||||
\(54\) | −12.5704 | + | 1.89468i | −1.71061 | + | 0.257833i | ||||
\(55\) | −2.03930 | − | 1.39037i | −0.274979 | − | 0.187477i | ||||
\(56\) | 2.86672 | + | 10.3793i | 0.383081 | + | 1.38699i | ||||
\(57\) | −0.165364 | + | 2.20663i | −0.0219030 | + | 0.292275i | ||||
\(58\) | 22.3015 | + | 3.36142i | 2.92834 | + | 0.441376i | ||||
\(59\) | −4.67413 | + | 4.33696i | −0.608520 | + | 0.564624i | −0.923077 | − | 0.384614i | \(-0.874334\pi\) |
0.314557 | + | 0.949238i | \(0.398144\pi\) | |||||||
\(60\) | −1.58226 | − | 6.93234i | −0.204269 | − | 0.894961i | ||||
\(61\) | −0.428023 | − | 5.71157i | −0.0548027 | − | 0.731292i | −0.955151 | − | 0.296121i | \(-0.904307\pi\) |
0.900348 | − | 0.435171i | \(-0.143312\pi\) | |||||||
\(62\) | −3.35696 | − | 0.505980i | −0.426334 | − | 0.0642595i | ||||
\(63\) | −0.0495208 | − | 0.411113i | −0.00623903 | − | 0.0517954i | ||||
\(64\) | 9.79931 | + | 4.71910i | 1.22491 | + | 0.589888i | ||||
\(65\) | −4.71896 | + | 3.21733i | −0.585315 | + | 0.399061i | ||||
\(66\) | −8.63405 | + | 1.30137i | −1.06278 | + | 0.160188i | ||||
\(67\) | 3.17723 | + | 8.09545i | 0.388160 | + | 0.989016i | 0.982742 | + | 0.184981i | \(0.0592224\pi\) |
−0.594582 | + | 0.804035i | \(0.702682\pi\) | |||||||
\(68\) | 0.284124 | + | 3.79137i | 0.0344551 | + | 0.459771i | ||||
\(69\) | −1.00678 | − | 0.310552i | −0.121203 | − | 0.0373860i | ||||
\(70\) | 7.05766 | − | 1.39159i | 0.843551 | − | 0.166327i | ||||
\(71\) | 2.90754 | + | 7.40829i | 0.345061 | + | 0.879202i | 0.993065 | + | 0.117565i | \(0.0375088\pi\) |
−0.648004 | + | 0.761637i | \(0.724396\pi\) | |||||||
\(72\) | 0.526294 | + | 0.358821i | 0.0620243 | + | 0.0422875i | ||||
\(73\) | −2.49145 | + | 10.9158i | −0.291602 | + | 1.27759i | 0.590692 | + | 0.806897i | \(0.298855\pi\) |
−0.882295 | + | 0.470697i | \(0.844002\pi\) | |||||||
\(74\) | −0.580653 | + | 7.74827i | −0.0674995 | + | 0.900718i | ||||
\(75\) | 6.17618 | − | 0.930909i | 0.713164 | − | 0.107492i | ||||
\(76\) | 3.56315 | − | 3.30612i | 0.408722 | − | 0.379238i | ||||
\(77\) | −0.685995 | − | 5.69501i | −0.0781763 | − | 0.649007i | ||||
\(78\) | −4.49603 | + | 19.6984i | −0.509075 | + | 2.23040i | ||||
\(79\) | −0.496750 | − | 0.860396i | −0.0558887 | − | 0.0968021i | 0.836727 | − | 0.547620i | \(-0.184466\pi\) |
−0.892616 | + | 0.450817i | \(0.851133\pi\) | |||||||
\(80\) | −1.31603 | + | 2.27943i | −0.147137 | + | 0.254848i | ||||
\(81\) | 6.23532 | + | 5.78553i | 0.692814 | + | 0.642837i | ||||
\(82\) | 6.59862 | + | 16.8130i | 0.728695 | + | 1.85668i | ||||
\(83\) | 0.905521 | + | 12.0833i | 0.0993939 | + | 1.32632i | 0.794435 | + | 0.607349i | \(0.207767\pi\) |
−0.695041 | + | 0.718970i | \(0.744614\pi\) | |||||||
\(84\) | 9.71081 | − | 13.3713i | 1.05954 | − | 1.45893i | ||||
\(85\) | 1.16851 | 0.126743 | ||||||||
\(86\) | 2.58737 | + | 15.4461i | 0.279004 | + | 1.66559i | ||||
\(87\) | −7.96189 | − | 13.7904i | −0.853604 | − | 1.47849i | ||||
\(88\) | 7.29057 | + | 4.97063i | 0.777178 | + | 0.529871i | ||||
\(89\) | −0.751504 | − | 0.361905i | −0.0796593 | − | 0.0383619i | 0.393630 | − | 0.919269i | \(-0.371219\pi\) |
−0.473289 | + | 0.880907i | \(0.656933\pi\) | |||||||
\(90\) | 0.265316 | − | 0.332696i | 0.0279668 | − | 0.0350692i | ||||
\(91\) | −12.8473 | − | 3.33692i | −1.34676 | − | 0.349804i | ||||
\(92\) | 1.15717 | + | 2.00428i | 0.120643 | + | 0.208960i | ||||
\(93\) | 1.19847 | + | 2.07581i | 0.124276 | + | 0.215251i | ||||
\(94\) | 15.4608 | − | 4.76902i | 1.59466 | − | 0.491887i | ||||
\(95\) | −0.931429 | − | 1.16798i | −0.0955626 | − | 0.119832i | ||||
\(96\) | −0.982305 | − | 4.30376i | −0.100256 | − | 0.439251i | ||||
\(97\) | −7.31121 | − | 9.16797i | −0.742341 | − | 0.930866i | 0.257027 | − | 0.966404i | \(-0.417257\pi\) |
−0.999368 | + | 0.0355379i | \(0.988686\pi\) | |||||||
\(98\) | 13.2294 | + | 10.2217i | 1.33637 | + | 1.03255i | ||||
\(99\) | −0.248742 | − | 0.230799i | −0.0249995 | − | 0.0231961i | ||||
\(100\) | −11.3359 | − | 7.72872i | −1.13359 | − | 0.772872i | ||||
\(101\) | 1.47721 | − | 1.85237i | 0.146988 | − | 0.184317i | −0.702887 | − | 0.711302i | \(-0.748106\pi\) |
0.849875 | + | 0.526984i | \(0.176677\pi\) | |||||||
\(102\) | 3.03030 | − | 2.81171i | 0.300044 | − | 0.278400i | ||||
\(103\) | 6.92604 | − | 6.42643i | 0.682443 | − | 0.633215i | −0.260771 | − | 0.965401i | \(-0.583977\pi\) |
0.943214 | + | 0.332186i | \(0.107786\pi\) | |||||||
\(104\) | 16.8705 | − | 11.5021i | 1.65429 | − | 1.12787i | ||||
\(105\) | −3.87504 | − | 3.28330i | −0.378165 | − | 0.320417i | ||||
\(106\) | 2.35547 | − | 6.00163i | 0.228783 | − | 0.582930i | ||||
\(107\) | −8.67994 | + | 5.91788i | −0.839121 | + | 0.572103i | −0.904848 | − | 0.425734i | \(-0.860016\pi\) |
0.0657268 | + | 0.997838i | \(0.479063\pi\) | |||||||
\(108\) | −1.47336 | − | 19.6606i | −0.141774 | − | 1.89184i | ||||
\(109\) | −8.01887 | + | 1.20865i | −0.768069 | + | 0.115768i | −0.521377 | − | 0.853326i | \(-0.674582\pi\) |
−0.246691 | + | 0.969094i | \(0.579343\pi\) | |||||||
\(110\) | 3.67534 | − | 4.60872i | 0.350429 | − | 0.439425i | ||||
\(111\) | 4.53273 | − | 3.09036i | 0.430227 | − | 0.293324i | ||||
\(112\) | −6.00153 | + | 1.18335i | −0.567091 | + | 0.111816i | ||||
\(113\) | −2.68903 | − | 11.7814i | −0.252962 | − | 1.10830i | −0.928605 | − | 0.371071i | \(-0.878991\pi\) |
0.675642 | − | 0.737230i | \(-0.263866\pi\) | |||||||
\(114\) | −5.22589 | − | 0.787676i | −0.489449 | − | 0.0737726i | ||||
\(115\) | 0.640851 | − | 0.308618i | 0.0597597 | − | 0.0287788i | ||||
\(116\) | −7.78343 | + | 34.1015i | −0.722674 | + | 3.16624i | ||||
\(117\) | −0.707441 | + | 0.340686i | −0.0654029 | + | 0.0314964i | ||||
\(118\) | −9.49485 | − | 11.9062i | −0.874072 | − | 1.09605i | ||||
\(119\) | 1.78717 | + | 2.04476i | 0.163829 | + | 0.187443i | ||||
\(120\) | 7.72558 | − | 1.16444i | 0.705246 | − | 0.106299i | ||||
\(121\) | 4.61783 | + | 4.28472i | 0.419803 | + | 0.389520i | ||||
\(122\) | 13.6793 | 1.23847 | ||||||||
\(123\) | 6.37614 | − | 11.0438i | 0.574917 | − | 0.995785i | ||||
\(124\) | 1.17161 | − | 5.13315i | 0.105213 | − | 0.460970i | ||||
\(125\) | −6.17803 | + | 7.74700i | −0.552579 | + | 0.692913i | ||||
\(126\) | 0.987963 | − | 0.0445655i | 0.0880148 | − | 0.00397021i | ||||
\(127\) | 14.9754 | − | 7.21177i | 1.32885 | − | 0.639941i | 0.371383 | − | 0.928480i | \(-0.378884\pi\) |
0.957468 | + | 0.288539i | \(0.0931694\pi\) | |||||||
\(128\) | −10.3703 | + | 17.9619i | −0.916614 | + | 1.58762i | ||||
\(129\) | 7.38737 | − | 8.22781i | 0.650422 | − | 0.724418i | ||||
\(130\) | −6.82030 | − | 11.8131i | −0.598180 | − | 1.03608i | ||||
\(131\) | 0.0317899 | − | 0.424207i | 0.00277750 | − | 0.0370631i | −0.995643 | − | 0.0932488i | \(-0.970275\pi\) |
0.998420 | + | 0.0561856i | \(0.0178939\pi\) | |||||||
\(132\) | −1.01199 | − | 13.5040i | −0.0880823 | − | 1.17538i | ||||
\(133\) | 0.619257 | − | 3.41624i | 0.0536964 | − | 0.296225i | ||||
\(134\) | −19.8475 | + | 6.12215i | −1.71457 | + | 0.528873i | ||||
\(135\) | −6.05946 | −0.521515 | ||||||||
\(136\) | −4.17748 | −0.358216 | ||||||||
\(137\) | 17.5910 | − | 5.42611i | 1.50290 | − | 0.463584i | 0.569370 | − | 0.822081i | \(-0.307187\pi\) |
0.933531 | + | 0.358498i | \(0.116711\pi\) | |||||||
\(138\) | 0.919313 | − | 2.34237i | 0.0782572 | − | 0.199396i | ||||
\(139\) | −11.1252 | + | 10.3227i | −0.943625 | + | 0.875556i | −0.992375 | − | 0.123255i | \(-0.960667\pi\) |
0.0487498 | + | 0.998811i | \(0.484476\pi\) | |||||||
\(140\) | 1.33422 | + | 11.0765i | 0.112762 | + | 0.936134i | ||||
\(141\) | −9.43858 | − | 6.43511i | −0.794872 | − | 0.541934i | ||||
\(142\) | −18.1628 | + | 5.60249i | −1.52419 | + | 0.470151i | ||||
\(143\) | −9.79994 | + | 4.71940i | −0.819512 | + | 0.394656i | ||||
\(144\) | −0.225614 | + | 0.282910i | −0.0188011 | + | 0.0235759i | ||||
\(145\) | 10.2727 | + | 3.16871i | 0.853102 | + | 0.263147i | ||||
\(146\) | −25.5528 | − | 7.88199i | −2.11476 | − | 0.652318i | ||||
\(147\) | −0.181253 | − | 11.8025i | −0.0149495 | − | 0.973451i | ||||
\(148\) | −11.9160 | − | 1.79605i | −0.979489 | − | 0.147634i | ||||
\(149\) | −7.96394 | − | 9.98647i | −0.652432 | − | 0.818123i | 0.340064 | − | 0.940402i | \(-0.389551\pi\) |
−0.992496 | + | 0.122279i | \(0.960980\pi\) | |||||||
\(150\) | 1.11477 | + | 14.8756i | 0.0910208 | + | 1.21459i | ||||
\(151\) | 0.855307 | + | 11.4133i | 0.0696039 | + | 0.928800i | 0.917269 | + | 0.398268i | \(0.130389\pi\) |
−0.847665 | + | 0.530532i | \(0.821992\pi\) | |||||||
\(152\) | 3.32990 | + | 4.17556i | 0.270091 | + | 0.338683i | ||||
\(153\) | 0.158853 | + | 0.0239432i | 0.0128425 | + | 0.00193569i | ||||
\(154\) | 13.6859 | − | 0.617351i | 1.10284 | − | 0.0497476i | ||||
\(155\) | −1.54631 | − | 0.476973i | −0.124202 | − | 0.0383114i | ||||
\(156\) | −29.9440 | − | 9.23650i | −2.39744 | − | 0.739512i | ||||
\(157\) | 10.8822 | − | 13.6458i | 0.868493 | − | 1.08906i | −0.126779 | − | 0.991931i | \(-0.540464\pi\) |
0.995272 | − | 0.0971250i | \(-0.0309647\pi\) | |||||||
\(158\) | 2.13781 | − | 1.02952i | 0.170075 | − | 0.0819040i | ||||
\(159\) | −4.34986 | + | 1.34175i | −0.344966 | + | 0.106408i | ||||
\(160\) | 2.46239 | + | 1.67883i | 0.194669 | + | 0.132723i | ||||
\(161\) | 1.52019 | + | 0.649403i | 0.119808 | + | 0.0511802i | ||||
\(162\) | −14.8920 | + | 13.8177i | −1.17002 | + | 1.08562i | ||||
\(163\) | 6.27568 | − | 15.9902i | 0.491549 | − | 1.25245i | −0.442971 | − | 0.896536i | \(-0.646075\pi\) |
0.934520 | − | 0.355911i | \(-0.115829\pi\) | |||||||
\(164\) | −26.7674 | + | 8.25664i | −2.09018 | + | 0.644735i | ||||
\(165\) | −4.16199 | −0.324010 | ||||||||
\(166\) | −28.9398 | −2.24617 | ||||||||
\(167\) | −16.2310 | + | 5.00661i | −1.25599 | + | 0.387423i | −0.850160 | − | 0.526524i | \(-0.823495\pi\) |
−0.405834 | + | 0.913947i | \(0.633019\pi\) | |||||||
\(168\) | 13.8534 | + | 11.7379i | 1.06882 | + | 0.905600i | ||||
\(169\) | 0.909450 | + | 12.1358i | 0.0699577 | + | 0.933520i | ||||
\(170\) | −0.208555 | + | 2.78298i | −0.0159955 | + | 0.213445i | ||||
\(171\) | −0.102690 | − | 0.177865i | −0.00785293 | − | 0.0136017i | ||||
\(172\) | −24.1884 | + | 2.21137i | −1.84435 | + | 0.168616i | ||||
\(173\) | 6.28928 | − | 10.8934i | 0.478165 | − | 0.828207i | −0.521521 | − | 0.853238i | \(-0.674635\pi\) |
0.999687 | + | 0.0250315i | \(0.00796860\pi\) | |||||||
\(174\) | 34.2648 | − | 16.5011i | 2.59761 | − | 1.25094i | ||||
\(175\) | −9.78993 | + | 0.441609i | −0.740049 | + | 0.0333825i | ||||
\(176\) | −3.12535 | + | 3.91906i | −0.235582 | + | 0.295411i | ||||
\(177\) | −2.39256 | + | 10.4825i | −0.179836 | + | 0.787912i | ||||
\(178\) | 0.996058 | − | 1.72522i | 0.0746577 | − | 0.129311i | ||||
\(179\) | −1.80600 | −0.134987 | −0.0674933 | − | 0.997720i | \(-0.521500\pi\) | ||||
−0.0674933 | + | 0.997720i | \(0.521500\pi\) | |||||||
\(180\) | 0.483789 | + | 0.448891i | 0.0360595 | + | 0.0334584i | ||||
\(181\) | −0.288490 | + | 0.0434828i | −0.0214433 | + | 0.00323205i | −0.159755 | − | 0.987157i | \(-0.551070\pi\) |
0.138312 | + | 0.990389i | \(0.455832\pi\) | |||||||
\(182\) | 10.2403 | − | 30.0022i | 0.759064 | − | 2.22391i | ||||
\(183\) | −6.02181 | − | 7.55111i | −0.445145 | − | 0.558194i | ||||
\(184\) | −2.29107 | + | 1.10332i | −0.168900 | + | 0.0813380i | ||||
\(185\) | −0.824138 | + | 3.61079i | −0.0605918 | + | 0.265470i | ||||
\(186\) | −5.15774 | + | 2.48384i | −0.378184 | + | 0.182124i | ||||
\(187\) | 2.20053 | + | 0.331677i | 0.160919 | + | 0.0242546i | ||||
\(188\) | 5.58375 | + | 24.4640i | 0.407237 | + | 1.78422i | ||||
\(189\) | −9.26757 | − | 10.6033i | −0.674117 | − | 0.771280i | ||||
\(190\) | 2.94794 | − | 2.00987i | 0.213866 | − | 0.145811i | ||||
\(191\) | 13.4956 | − | 16.9229i | 0.976507 | − | 1.22450i | 0.00203303 | − | 0.999998i | \(-0.499353\pi\) |
0.974474 | − | 0.224503i | \(-0.0720757\pi\) | |||||||
\(192\) | 18.1357 | − | 2.73351i | 1.30883 | − | 0.197274i | ||||
\(193\) | 0.0551753 | + | 0.736264i | 0.00397161 | + | 0.0529974i | 0.998837 | − | 0.0482050i | \(-0.0153501\pi\) |
−0.994866 | + | 0.101202i | \(0.967731\pi\) | |||||||
\(194\) | 23.1397 | − | 15.7764i | 1.66134 | − | 1.13268i | ||||
\(195\) | −3.51856 | + | 8.96515i | −0.251969 | + | 0.642008i | ||||
\(196\) | −17.3420 | + | 19.2755i | −1.23871 | + | 1.37682i | ||||
\(197\) | −3.73826 | + | 2.54871i | −0.266340 | + | 0.181588i | −0.689125 | − | 0.724642i | \(-0.742005\pi\) |
0.422785 | + | 0.906230i | \(0.361053\pi\) | |||||||
\(198\) | 0.594076 | − | 0.551222i | 0.0422191 | − | 0.0391736i | ||||
\(199\) | −14.1871 | + | 13.1637i | −1.00570 | + | 0.933153i | −0.997765 | − | 0.0668152i | \(-0.978716\pi\) |
−0.00793473 | + | 0.999969i | \(0.502526\pi\) | |||||||
\(200\) | 9.39904 | − | 11.7860i | 0.664613 | − | 0.833398i | ||||
\(201\) | 12.1166 | + | 8.26097i | 0.854640 | + | 0.582684i | ||||
\(202\) | 4.14802 | + | 3.84880i | 0.291854 | + | 0.270801i | ||||
\(203\) | 10.1666 | + | 22.8224i | 0.713555 | + | 1.60182i | ||||
\(204\) | 3.99731 | + | 5.01246i | 0.279867 | + | 0.350943i | ||||
\(205\) | 1.91573 | + | 8.39335i | 0.133800 | + | 0.586217i | ||||
\(206\) | 14.0693 | + | 17.6424i | 0.980255 | + | 1.22920i | ||||
\(207\) | 0.0934439 | − | 0.0288236i | 0.00649480 | − | 0.00200338i | ||||
\(208\) | 5.79970 | + | 10.0454i | 0.402137 | + | 0.696521i | ||||
\(209\) | −1.42254 | − | 2.46390i | −0.0983989 | − | 0.170432i | ||||
\(210\) | 8.51125 | − | 8.64297i | 0.587332 | − | 0.596421i | ||||
\(211\) | 5.96778 | − | 7.48336i | 0.410839 | − | 0.515175i | −0.532760 | − | 0.846266i | \(-0.678845\pi\) |
0.943599 | + | 0.331091i | \(0.107417\pi\) | |||||||
\(212\) | 9.00898 | + | 4.33850i | 0.618739 | + | 0.297969i | ||||
\(213\) | 11.0881 | + | 7.55976i | 0.759746 | + | 0.517986i | ||||
\(214\) | −12.5451 | − | 21.7287i | −0.857565 | − | 1.48535i | ||||
\(215\) | 0.122196 | + | 7.46409i | 0.00833367 | + | 0.509047i | ||||
\(216\) | 21.6628 | 1.47397 | ||||||||
\(217\) | −1.53034 | − | 3.43536i | −0.103886 | − | 0.233207i | ||||
\(218\) | −1.44737 | − | 19.3138i | −0.0980283 | − | 1.30810i | ||||
\(219\) | 6.89773 | + | 17.5751i | 0.466105 | + | 1.18762i | ||||
\(220\) | 6.70177 | + | 6.21834i | 0.451833 | + | 0.419240i | ||||
\(221\) | 2.57479 | − | 4.45967i | 0.173199 | − | 0.299990i | ||||
\(222\) | 6.55114 | + | 11.3469i | 0.439684 | + | 0.761554i | ||||
\(223\) | 4.88890 | − | 21.4197i | 0.327385 | − | 1.43437i | −0.496711 | − | 0.867916i | \(-0.665459\pi\) |
0.824096 | − | 0.566451i | \(-0.191684\pi\) | |||||||
\(224\) | 0.828317 | + | 6.87655i | 0.0553442 | + | 0.459459i | ||||
\(225\) | −0.424959 | + | 0.394304i | −0.0283306 | + | 0.0262870i | ||||
\(226\) | 28.5390 | − | 4.30156i | 1.89839 | − | 0.286136i | ||||
\(227\) | 1.83927 | − | 24.5434i | 0.122077 | − | 1.62900i | −0.514290 | − | 0.857617i | \(-0.671944\pi\) |
0.636366 | − | 0.771387i | \(-0.280437\pi\) | |||||||
\(228\) | 1.82388 | − | 7.99094i | 0.120789 | − | 0.529213i | ||||
\(229\) | 14.6894 | + | 10.0150i | 0.970701 | + | 0.661813i | 0.941235 | − | 0.337753i | \(-0.109667\pi\) |
0.0294664 | + | 0.999566i | \(0.490619\pi\) | |||||||
\(230\) | 0.620639 | + | 1.58136i | 0.0409237 | + | 0.104272i | ||||
\(231\) | −6.36550 | − | 7.28299i | −0.418819 | − | 0.479186i | ||||
\(232\) | −36.7254 | − | 11.3283i | −2.41114 | − | 0.743738i | ||||
\(233\) | 1.79065 | + | 23.8945i | 0.117309 | + | 1.56538i | 0.676562 | + | 0.736386i | \(0.263469\pi\) |
−0.559252 | + | 0.828997i | \(0.688912\pi\) | |||||||
\(234\) | −0.685128 | − | 1.74568i | −0.0447882 | − | 0.114118i | ||||
\(235\) | 7.62602 | − | 1.14944i | 0.497467 | − | 0.0749811i | ||||
\(236\) | 19.5143 | − | 13.3046i | 1.27027 | − | 0.866055i | ||||
\(237\) | −1.50940 | − | 0.726887i | −0.0980458 | − | 0.0472164i | ||||
\(238\) | −5.18886 | + | 3.89144i | −0.336344 | + | 0.252245i | ||||
\(239\) | −23.0201 | − | 3.46972i | −1.48904 | − | 0.224437i | −0.646437 | − | 0.762967i | \(-0.723742\pi\) |
−0.842606 | + | 0.538530i | \(0.818980\pi\) | |||||||
\(240\) | 0.331679 | + | 4.42595i | 0.0214098 | + | 0.285694i | ||||
\(241\) | 6.53728 | + | 28.6417i | 0.421103 | + | 1.84497i | 0.525992 | + | 0.850490i | \(0.323694\pi\) |
−0.104888 | + | 0.994484i | \(0.533449\pi\) | |||||||
\(242\) | −11.0289 | + | 10.2333i | −0.708962 | + | 0.657821i | ||||
\(243\) | −1.60666 | − | 0.242164i | −0.103067 | − | 0.0155349i | ||||
\(244\) | −1.58543 | + | 21.1561i | −0.101497 | + | 1.35438i | ||||
\(245\) | 5.50930 | + | 5.75771i | 0.351976 | + | 0.367846i | ||||
\(246\) | 25.1644 | + | 17.1568i | 1.60442 | + | 1.09388i | ||||
\(247\) | −6.51000 | + | 0.981225i | −0.414222 | + | 0.0624339i | ||||
\(248\) | 5.52812 | + | 1.70520i | 0.351036 | + | 0.108280i | ||||
\(249\) | 12.7397 | + | 15.9750i | 0.807344 | + | 1.01238i | ||||
\(250\) | −17.3479 | − | 16.0965i | −1.09718 | − | 1.01803i | ||||
\(251\) | −8.18525 | + | 14.1773i | −0.516649 | + | 0.894862i | 0.483165 | + | 0.875530i | \(0.339487\pi\) |
−0.999813 | + | 0.0193320i | \(0.993846\pi\) | |||||||
\(252\) | −0.0455808 | + | 1.53313i | −0.00287132 | + | 0.0965778i | ||||
\(253\) | 1.29445 | − | 0.399284i | 0.0813812 | − | 0.0251028i | ||||
\(254\) | 14.5031 | + | 36.9532i | 0.910003 | + | 2.31865i | ||||
\(255\) | 1.62804 | − | 1.10998i | 0.101952 | − | 0.0695095i | ||||
\(256\) | −22.9549 | − | 15.6504i | −1.43468 | − | 0.978150i | ||||
\(257\) | 10.7698 | − | 18.6538i | 0.671800 | − | 1.16359i | −0.305594 | − | 0.952162i | \(-0.598855\pi\) |
0.977393 | − | 0.211429i | \(-0.0678117\pi\) | |||||||
\(258\) | 18.2772 | + | 19.0626i | 1.13789 | + | 1.18678i | ||||
\(259\) | −7.57892 | + | 4.08033i | −0.470931 | + | 0.253539i | ||||
\(260\) | 19.0603 | − | 9.17898i | 1.18207 | − | 0.569256i | ||||
\(261\) | 1.33159 | + | 0.641260i | 0.0824233 | + | 0.0396930i | ||||
\(262\) | 1.00464 | + | 0.151425i | 0.0620666 | + | 0.00935504i | ||||
\(263\) | −15.8623 | − | 14.7180i | −0.978109 | − | 0.907552i | 0.0176231 | − | 0.999845i | \(-0.494390\pi\) |
−0.995732 | + | 0.0922923i | \(0.970581\pi\) | |||||||
\(264\) | 14.8793 | 0.915757 | ||||||||
\(265\) | 1.53659 | − | 2.66144i | 0.0943917 | − | 0.163491i | ||||
\(266\) | 8.02573 | + | 2.08458i | 0.492089 | + | 0.127814i | ||||
\(267\) | −1.39082 | + | 0.209632i | −0.0851166 | + | 0.0128293i | ||||
\(268\) | −7.16805 | − | 31.4053i | −0.437858 | − | 1.91838i | ||||
\(269\) | −6.61095 | + | 16.8444i | −0.403077 | + | 1.02702i | 0.574884 | + | 0.818235i | \(0.305047\pi\) |
−0.977961 | + | 0.208788i | \(0.933048\pi\) | |||||||
\(270\) | 1.08149 | − | 14.4315i | 0.0658174 | − | 0.878272i | ||||
\(271\) | −20.3999 | + | 6.29252i | −1.23920 | + | 0.382243i | −0.843996 | − | 0.536349i | \(-0.819803\pi\) |
−0.395206 | + | 0.918592i | \(0.629327\pi\) | |||||||
\(272\) | 0.177347 | − | 2.36653i | 0.0107532 | − | 0.143492i | ||||
\(273\) | −21.0694 | + | 7.55457i | −1.27518 | + | 0.457223i | ||||
\(274\) | 9.78341 | + | 42.8639i | 0.591038 | + | 2.58951i | ||||
\(275\) | −5.88682 | + | 5.46217i | −0.354988 | + | 0.329381i | ||||
\(276\) | 3.51611 | + | 1.69327i | 0.211645 | + | 0.101923i | ||||
\(277\) | −0.546703 | − | 1.39298i | −0.0328482 | − | 0.0836958i | 0.913509 | − | 0.406820i | \(-0.133362\pi\) |
−0.946357 | + | 0.323124i | \(0.895267\pi\) | |||||||
\(278\) | −22.5993 | − | 28.3386i | −1.35541 | − | 1.69964i | ||||
\(279\) | −0.200439 | − | 0.0965261i | −0.0119999 | − | 0.00577887i | ||||
\(280\) | −12.2459 | + | 0.552394i | −0.731833 | + | 0.0330119i | ||||
\(281\) | 8.90268 | − | 22.6836i | 0.531089 | − | 1.35319i | −0.373786 | − | 0.927515i | \(-0.621940\pi\) |
0.904875 | − | 0.425678i | \(-0.139964\pi\) | |||||||
\(282\) | 17.0107 | − | 21.3308i | 1.01297 | − | 1.27023i | ||||
\(283\) | −13.5165 | − | 6.50921i | −0.803474 | − | 0.386933i | −0.0133738 | − | 0.999911i | \(-0.504257\pi\) |
−0.790100 | + | 0.612978i | \(0.789971\pi\) | |||||||
\(284\) | −6.55961 | − | 28.7395i | −0.389241 | − | 1.70538i | ||||
\(285\) | −2.40719 | − | 0.742519i | −0.142590 | − | 0.0439831i | ||||
\(286\) | −9.49084 | − | 24.1823i | −0.561205 | − | 1.42993i | ||||
\(287\) | −11.7574 | + | 16.1894i | −0.694017 | + | 0.955630i | ||||
\(288\) | 0.300348 | + | 0.278682i | 0.0176982 | + | 0.0164215i | ||||
\(289\) | 14.3672 | − | 6.91890i | 0.845132 | − | 0.406994i | ||||
\(290\) | −9.38021 | + | 23.9004i | −0.550825 | + | 1.40348i | ||||
\(291\) | −18.8951 | − | 5.82837i | −1.10765 | − | 0.341665i | ||||
\(292\) | 15.1517 | − | 38.6058i | 0.886684 | − | 2.25923i | ||||
\(293\) | 1.98928 | − | 8.71559i | 0.116215 | − | 0.509170i | −0.882994 | − | 0.469385i | \(-0.844476\pi\) |
0.999208 | − | 0.0397849i | \(-0.0126673\pi\) | |||||||
\(294\) | 28.1416 | + | 1.67482i | 1.64125 | + | 0.0976773i | ||||
\(295\) | −3.62942 | − | 6.28634i | −0.211313 | − | 0.366005i | ||||
\(296\) | 2.94633 | − | 12.9087i | 0.171252 | − | 0.750304i | ||||
\(297\) | −11.4111 | − | 1.71995i | −0.662141 | − | 0.0998017i | ||||
\(298\) | 25.2056 | − | 17.1849i | 1.46012 | − | 0.995494i | ||||
\(299\) | 0.234251 | − | 3.12587i | 0.0135471 | − | 0.180773i | ||||
\(300\) | −23.1355 | −1.33573 | ||||||||
\(301\) | −12.8744 | + | 11.6297i | −0.742068 | + | 0.670325i | ||||
\(302\) | −27.3350 | −1.57295 | ||||||||
\(303\) | 0.298562 | − | 3.98404i | 0.0171520 | − | 0.228877i | ||||
\(304\) | −2.50680 | + | 1.70911i | −0.143775 | + | 0.0980242i | ||||
\(305\) | 6.44755 | + | 0.971812i | 0.369186 | + | 0.0556458i | ||||
\(306\) | −0.0853760 | + | 0.374057i | −0.00488062 | + | 0.0213834i | ||||
\(307\) | 1.74810 | + | 3.02780i | 0.0997695 | + | 0.172806i | 0.911589 | − | 0.411102i | \(-0.134856\pi\) |
−0.811820 | + | 0.583908i | \(0.801523\pi\) | |||||||
\(308\) | −0.631416 | + | 21.2379i | −0.0359783 | + | 1.21014i | ||||
\(309\) | 3.54525 | − | 15.5328i | 0.201682 | − | 0.883629i | ||||
\(310\) | 1.41196 | − | 3.59762i | 0.0801941 | − | 0.204331i | ||||
\(311\) | 8.06925 | + | 2.48903i | 0.457565 | + | 0.141140i | 0.514965 | − | 0.857211i | \(-0.327805\pi\) |
−0.0574001 | + | 0.998351i | \(0.518281\pi\) | |||||||
\(312\) | 12.5790 | − | 32.0508i | 0.712146 | − | 1.81452i | ||||
\(313\) | −16.8204 | + | 8.10030i | −0.950748 | + | 0.457856i | −0.843948 | − | 0.536425i | \(-0.819775\pi\) |
−0.106799 | + | 0.994281i | \(0.534060\pi\) | |||||||
\(314\) | 30.5573 | + | 28.3530i | 1.72445 | + | 1.60005i | ||||
\(315\) | 0.468828 | + | 0.0491820i | 0.0264155 | + | 0.00277109i | ||||
\(316\) | 1.34445 | + | 3.42561i | 0.0756315 | + | 0.192706i | ||||
\(317\) | 6.69393 | + | 2.06480i | 0.375969 | + | 0.115971i | 0.476980 | − | 0.878914i | \(-0.341732\pi\) |
−0.101011 | + | 0.994885i | \(0.532208\pi\) | |||||||
\(318\) | −2.41922 | − | 10.5993i | −0.135663 | − | 0.594379i | ||||
\(319\) | 18.4461 | + | 8.88316i | 1.03278 | + | 0.497361i | ||||
\(320\) | −7.71998 | + | 9.68055i | −0.431560 | + | 0.541159i | ||||
\(321\) | −6.47195 | + | 16.4903i | −0.361229 | + | 0.920397i | ||||
\(322\) | −1.81797 | + | 3.50464i | −0.101311 | + | 0.195306i | ||||
\(323\) | 1.21356 | + | 0.584420i | 0.0675243 | + | 0.0325180i | ||||
\(324\) | −19.6442 | − | 24.6330i | −1.09134 | − | 1.36850i | ||||
\(325\) | 6.78907 | + | 17.2983i | 0.376590 | + | 0.959535i | ||||
\(326\) | 36.9628 | + | 17.8003i | 2.04718 | + | 0.985870i | ||||
\(327\) | −10.0242 | + | 9.30114i | −0.554342 | + | 0.514354i | ||||
\(328\) | −6.84881 | − | 30.0066i | −0.378162 | − | 1.65684i | ||||
\(329\) | 13.6749 | + | 11.5867i | 0.753922 | + | 0.638793i | ||||
\(330\) | 0.742829 | − | 9.91237i | 0.0408914 | − | 0.545658i | ||||
\(331\) | 29.8655 | − | 9.21230i | 1.64156 | − | 0.506354i | 0.669842 | − | 0.742504i | \(-0.266362\pi\) |
0.971717 | + | 0.236150i | \(0.0758856\pi\) | |||||||
\(332\) | 3.35412 | − | 44.7576i | 0.184081 | − | 2.45639i | ||||
\(333\) | −0.186023 | + | 0.473979i | −0.0101940 | + | 0.0259739i | ||||
\(334\) | −9.02704 | − | 39.5501i | −0.493938 | − | 2.16408i | ||||
\(335\) | −9.78978 | + | 1.47557i | −0.534873 | + | 0.0806191i | ||||
\(336\) | −7.23761 | + | 7.34961i | −0.394844 | + | 0.400954i | ||||
\(337\) | −4.77256 | + | 8.26631i | −0.259978 | + | 0.450295i | −0.966236 | − | 0.257660i | \(-0.917049\pi\) |
0.706258 | + | 0.707955i | \(0.250382\pi\) | |||||||
\(338\) | −29.0654 | −1.58095 | ||||||||
\(339\) | −14.9377 | − | 13.8602i | −0.811307 | − | 0.752783i | ||||
\(340\) | −4.27992 | − | 0.645093i | −0.232111 | − | 0.0349851i | ||||
\(341\) | −2.77661 | − | 1.33714i | −0.150362 | − | 0.0724104i | ||||
\(342\) | 0.441939 | − | 0.212827i | 0.0238973 | − | 0.0115083i | ||||
\(343\) | −1.64918 | + | 18.4467i | −0.0890476 | + | 0.996027i | ||||
\(344\) | −0.436854 | − | 26.6845i | −0.0235536 | − | 1.43873i | ||||
\(345\) | 0.599713 | − | 1.03873i | 0.0322875 | − | 0.0559235i | ||||
\(346\) | 24.8216 | + | 16.9231i | 1.33442 | + | 0.909790i | ||||
\(347\) | 25.5294 | − | 17.4057i | 1.37049 | − | 0.934386i | 0.370507 | − | 0.928830i | \(-0.379184\pi\) |
0.999985 | − | 0.00555606i | \(-0.00176856\pi\) | |||||||
\(348\) | 21.5489 | + | 54.9056i | 1.15514 | + | 2.94325i | ||||
\(349\) | −15.1145 | + | 4.66220i | −0.809059 | + | 0.249562i | −0.671570 | − | 0.740941i | \(-0.734380\pi\) |
−0.137490 | + | 0.990503i | \(0.543903\pi\) | |||||||
\(350\) | 0.695547 | − | 23.3949i | 0.0371785 | − | 1.25051i | ||||
\(351\) | −13.3519 | + | 23.1262i | −0.712671 | + | 1.23438i | ||||
\(352\) | 4.16062 | + | 3.86049i | 0.221762 | + | 0.205765i | ||||
\(353\) | 0.960723 | + | 1.20471i | 0.0511341 | + | 0.0641201i | 0.806741 | − | 0.590905i | \(-0.201229\pi\) |
−0.755607 | + | 0.655025i | \(0.772658\pi\) | |||||||
\(354\) | −24.5385 | − | 7.56913i | −1.30421 | − | 0.402295i | ||||
\(355\) | −8.95880 | + | 1.35032i | −0.475484 | + | 0.0716677i | ||||
\(356\) | 2.55275 | + | 1.74043i | 0.135295 | + | 0.0922427i | ||||
\(357\) | 4.43231 | + | 1.15123i | 0.234583 | + | 0.0609298i | ||||
\(358\) | 0.322333 | − | 4.30124i | 0.0170358 | − | 0.227328i | ||||
\(359\) | −31.1193 | − | 4.69048i | −1.64241 | − | 0.247554i | −0.738183 | − | 0.674600i | \(-0.764316\pi\) |
−0.904230 | + | 0.427046i | \(0.859554\pi\) | |||||||
\(360\) | −0.531568 | + | 0.493223i | −0.0280161 | + | 0.0259951i | ||||
\(361\) | 3.84471 | + | 16.8448i | 0.202353 | + | 0.886567i | ||||
\(362\) | −0.0520711 | − | 0.694840i | −0.00273679 | − | 0.0365200i | ||||
\(363\) | 10.5039 | + | 1.58321i | 0.551313 | + | 0.0830970i | ||||
\(364\) | 45.2138 | + | 19.3147i | 2.36985 | + | 1.01237i | ||||
\(365\) | −11.4840 | − | 5.53040i | −0.601099 | − | 0.289474i | ||||
\(366\) | 19.0588 | − | 12.9941i | 0.996220 | − | 0.679211i | ||||
\(367\) | 3.40938 | − | 0.513881i | 0.177968 | − | 0.0268244i | −0.0594535 | − | 0.998231i | \(-0.518936\pi\) |
0.237422 | + | 0.971407i | \(0.423698\pi\) | |||||||
\(368\) | −0.527765 | − | 1.34472i | −0.0275116 | − | 0.0700985i | ||||
\(369\) | 0.0884500 | + | 1.18028i | 0.00460452 | + | 0.0614431i | ||||
\(370\) | −8.45251 | − | 2.60725i | −0.439425 | − | 0.135545i | ||||
\(371\) | 7.00733 | − | 1.38167i | 0.363802 | − | 0.0717327i | ||||
\(372\) | −3.24366 | − | 8.26472i | −0.168176 | − | 0.428506i | ||||
\(373\) | −10.3767 | − | 7.07471i | −0.537285 | − | 0.366315i | 0.264070 | − | 0.964503i | \(-0.414935\pi\) |
−0.801355 | + | 0.598189i | \(0.795887\pi\) | |||||||
\(374\) | −1.18269 | + | 5.18168i | −0.0611552 | + | 0.267939i | ||||
\(375\) | −1.24865 | + | 16.6621i | −0.0644802 | + | 0.860428i | ||||
\(376\) | −27.2634 | + | 4.10929i | −1.40600 | + | 0.211920i | ||||
\(377\) | 34.7292 | − | 32.2240i | 1.78864 | − | 1.65962i | ||||
\(378\) | 26.9075 | − | 20.1796i | 1.38397 | − | 1.03792i | ||||
\(379\) | 1.99002 | − | 8.71884i | 0.102220 | − | 0.447857i | −0.897753 | − | 0.440500i | \(-0.854801\pi\) |
0.999973 | − | 0.00735652i | \(-0.00234168\pi\) | |||||||
\(380\) | 2.76675 | + | 4.79216i | 0.141932 | + | 0.245833i | ||||
\(381\) | 14.0141 | − | 24.2731i | 0.717963 | − | 1.24355i | ||||
\(382\) | 37.8957 | + | 35.1621i | 1.93891 | + | 1.79905i | ||||
\(383\) | −6.38032 | − | 16.2568i | −0.326019 | − | 0.830684i | −0.996087 | − | 0.0883833i | \(-0.971830\pi\) |
0.670067 | − | 0.742300i | \(-0.266265\pi\) | |||||||
\(384\) | 2.61362 | + | 34.8764i | 0.133376 | + | 1.77978i | ||||
\(385\) | 6.49452 | + | 0.681302i | 0.330992 | + | 0.0347223i | ||||
\(386\) | −1.76337 | −0.0897529 | ||||||||
\(387\) | −0.136330 | + | 1.01721i | −0.00693004 | + | 0.0517075i | ||||
\(388\) | 21.7175 | + | 37.6158i | 1.10254 | + | 1.90965i | ||||
\(389\) | −7.69589 | − | 5.24697i | −0.390197 | − | 0.266032i | 0.352292 | − | 0.935890i | \(-0.385402\pi\) |
−0.742489 | + | 0.669858i | \(0.766355\pi\) | |||||||
\(390\) | −20.7238 | − | 9.98005i | −1.04939 | − | 0.505360i | ||||
\(391\) | −0.399860 | + | 0.501408i | −0.0202218 | + | 0.0253573i | ||||
\(392\) | −19.6960 | − | 20.5841i | −0.994797 | − | 1.03965i | ||||
\(393\) | −0.358666 | − | 0.621227i | −0.0180923 | − | 0.0313368i | ||||
\(394\) | −5.40290 | − | 9.35810i | −0.272194 | − | 0.471454i | ||||
\(395\) | 1.08077 | − | 0.333373i | 0.0543793 | − | 0.0167738i | ||||
\(396\) | 0.783653 | + | 0.982670i | 0.0393800 | + | 0.0493810i | ||||
\(397\) | 1.37746 | + | 6.03504i | 0.0691326 | + | 0.302890i | 0.997660 | − | 0.0683748i | \(-0.0217814\pi\) |
−0.928527 | + | 0.371265i | \(0.878924\pi\) | |||||||
\(398\) | −28.8192 | − | 36.1382i | −1.44458 | − | 1.81144i | ||||
\(399\) | −2.38232 | − | 5.34794i | −0.119265 | − | 0.267732i | ||||
\(400\) | 6.27772 | + | 5.82487i | 0.313886 | + | 0.291244i | ||||
\(401\) | 6.87710 | + | 4.68873i | 0.343426 | + | 0.234144i | 0.722734 | − | 0.691127i | \(-0.242885\pi\) |
−0.379308 | + | 0.925271i | \(0.623838\pi\) | |||||||
\(402\) | −21.8373 | + | 27.3830i | −1.08914 | + | 1.36574i | ||||
\(403\) | −5.22764 | + | 4.85054i | −0.260407 | + | 0.241623i | ||||
\(404\) | −6.43322 | + | 5.96916i | −0.320065 | + | 0.296977i | ||||
\(405\) | −8.00075 | + | 5.45482i | −0.397561 | + | 0.271052i | ||||
\(406\) | −56.1693 | + | 20.1399i | −2.78764 | + | 0.999525i | ||||
\(407\) | −2.57692 | + | 6.56588i | −0.127733 | + | 0.325458i | ||||
\(408\) | −5.82031 | + | 3.96822i | −0.288148 | + | 0.196456i | ||||
\(409\) | −2.26032 | − | 30.1619i | −0.111766 | − | 1.49141i | −0.717955 | − | 0.696089i | \(-0.754922\pi\) |
0.606190 | − | 0.795320i | \(-0.292697\pi\) | |||||||
\(410\) | −20.3319 | + | 3.06454i | −1.00412 | + | 0.151347i | ||||
\(411\) | 19.3545 | − | 24.2698i | 0.954687 | − | 1.19714i | ||||
\(412\) | −28.9159 | + | 19.7145i | −1.42458 | + | 0.971264i | ||||
\(413\) | 5.44939 | − | 15.9656i | 0.268147 | − | 0.785617i | ||||
\(414\) | 0.0519697 | + | 0.227694i | 0.00255417 | + | 0.0111906i | ||||
\(415\) | −13.6404 | − | 2.05595i | −0.669579 | − | 0.100923i | ||||
\(416\) | 11.8331 | − | 5.69853i | 0.580166 | − | 0.279393i | ||||
\(417\) | −5.69468 | + | 24.9500i | −0.278869 | + | 1.22181i | ||||
\(418\) | 6.12203 | − | 2.94822i | 0.299438 | − | 0.144202i | ||||
\(419\) | −9.30954 | − | 11.6738i | −0.454801 | − | 0.570302i | 0.500576 | − | 0.865693i | \(-0.333122\pi\) |
−0.955377 | + | 0.295391i | \(0.904550\pi\) | |||||||
\(420\) | 12.3806 | + | 14.1650i | 0.604109 | + | 0.691182i | ||||
\(421\) | 33.6392 | − | 5.07029i | 1.63947 | − | 0.247111i | 0.736384 | − | 0.676564i | \(-0.236532\pi\) |
0.903089 | + | 0.429453i | \(0.141294\pi\) | |||||||
\(422\) | 16.7576 | + | 15.5487i | 0.815745 | + | 0.756901i | ||||
\(423\) | 1.06027 | 0.0515520 | ||||||||
\(424\) | −5.49336 | + | 9.51478i | −0.266781 | + | 0.462078i | ||||
\(425\) | 0.846009 | − | 3.70661i | 0.0410374 | − | 0.179797i | ||||
\(426\) | −19.9837 | + | 25.0587i | −0.968211 | + | 1.21410i | ||||
\(427\) | 8.16057 | + | 12.7688i | 0.394918 | + | 0.617925i | ||||
\(428\) | 35.0591 | − | 16.8836i | 1.69465 | − | 0.816099i | ||||
\(429\) | −9.17085 | + | 15.8844i | −0.442773 | + | 0.766905i | ||||
\(430\) | −17.7986 | − | 1.04116i | −0.858326 | − | 0.0502093i | ||||
\(431\) | −3.65330 | − | 6.32769i | −0.175973 | − | 0.304794i | 0.764525 | − | 0.644595i | \(-0.222974\pi\) |
−0.940498 | + | 0.339800i | \(0.889641\pi\) | |||||||
\(432\) | −0.919653 | + | 12.2719i | −0.0442468 | + | 0.590433i | ||||
\(433\) | 0.897835 | + | 11.9808i | 0.0431472 | + | 0.575759i | 0.976320 | + | 0.216331i | \(0.0694091\pi\) |
−0.933173 | + | 0.359428i | \(0.882972\pi\) | |||||||
\(434\) | 8.45493 | − | 3.03157i | 0.405850 | − | 0.145520i | ||||
\(435\) | 17.3225 | − | 5.34329i | 0.830551 | − | 0.256191i | ||||
\(436\) | 30.0380 | 1.43856 | ||||||||
\(437\) | 0.819910 | 0.0392216 | ||||||||
\(438\) | −43.0888 | + | 13.2911i | −2.05886 | + | 0.635075i | ||||
\(439\) | −11.3019 | + | 28.7968i | −0.539411 | + | 1.37440i | 0.358214 | + | 0.933639i | \(0.383386\pi\) |
−0.897626 | + | 0.440759i | \(0.854709\pi\) | |||||||
\(440\) | −7.36363 | + | 6.83245i | −0.351047 | + | 0.325724i | ||||
\(441\) | 0.630981 | + | 0.895616i | 0.0300467 | + | 0.0426484i | ||||
\(442\) | 10.1618 | + | 6.92819i | 0.483347 | + | 0.329540i | ||||
\(443\) | 19.2372 | − | 5.93389i | 0.913987 | − | 0.281928i | 0.198131 | − | 0.980176i | \(-0.436513\pi\) |
0.715856 | + | 0.698248i | \(0.246037\pi\) | |||||||
\(444\) | −18.3081 | + | 8.81673i | −0.868865 | + | 0.418423i | ||||
\(445\) | 0.592042 | − | 0.742397i | 0.0280655 | − | 0.0351930i | ||||
\(446\) | 50.1414 | + | 15.4666i | 2.37427 | + | 0.732364i | ||||
\(447\) | −20.5820 | − | 6.34872i | −0.973497 | − | 0.300284i | ||||
\(448\) | −28.7471 | + | 1.29674i | −1.35817 | + | 0.0612650i | ||||
\(449\) | 29.2764 | + | 4.41271i | 1.38164 | + | 0.208248i | 0.797457 | − | 0.603375i | \(-0.206178\pi\) |
0.584181 | + | 0.811624i | \(0.301416\pi\) | |||||||
\(450\) | −0.863246 | − | 1.08248i | −0.0406938 | − | 0.0510284i | ||||
\(451\) | 1.22527 | + | 16.3501i | 0.0576956 | + | 0.769894i | ||||
\(452\) | 3.34503 | + | 44.6363i | 0.157337 | + | 2.09952i | ||||
\(453\) | 12.0332 | + | 15.0892i | 0.565370 | + | 0.708951i | ||||
\(454\) | 58.1254 | + | 8.76099i | 2.72796 | + | 0.411174i | ||||
\(455\) | 6.95806 | − | 13.4136i | 0.326199 | − | 0.628839i | ||||
\(456\) | 8.60580 | + | 2.65454i | 0.403004 | + | 0.124310i | ||||
\(457\) | −35.6481 | − | 10.9960i | −1.66755 | − | 0.514371i | −0.689774 | − | 0.724025i | \(-0.742290\pi\) |
−0.977776 | + | 0.209654i | \(0.932766\pi\) | |||||||
\(458\) | −26.4740 | + | 33.1974i | −1.23705 | + | 1.55121i | ||||
\(459\) | 4.92238 | − | 2.37049i | 0.229757 | − | 0.110645i | ||||
\(460\) | −2.51763 | + | 0.776585i | −0.117385 | + | 0.0362085i | ||||
\(461\) | 2.92515 | + | 1.99433i | 0.136238 | + | 0.0928854i | 0.629521 | − | 0.776983i | \(-0.283251\pi\) |
−0.493283 | + | 0.869869i | \(0.664203\pi\) | |||||||
\(462\) | 18.4816 | − | 13.8605i | 0.859842 | − | 0.644848i | ||||
\(463\) | −9.09776 | + | 8.44148i | −0.422809 | + | 0.392309i | −0.862679 | − | 0.505752i | \(-0.831215\pi\) |
0.439870 | + | 0.898061i | \(0.355024\pi\) | |||||||
\(464\) | 7.97653 | − | 20.3239i | 0.370301 | − | 0.943512i | ||||
\(465\) | −2.60749 | + | 0.804303i | −0.120919 | + | 0.0372986i | ||||
\(466\) | −57.2279 | −2.65103 | ||||||||
\(467\) | −32.2685 | −1.49321 | −0.746604 | − | 0.665268i | \(-0.768317\pi\) | ||||
−0.746604 | + | 0.665268i | \(0.768317\pi\) | |||||||
\(468\) | 2.77923 | − | 0.857278i | 0.128470 | − | 0.0396277i | ||||
\(469\) | −17.5549 | − | 14.8742i | −0.810612 | − | 0.686826i | ||||
\(470\) | 1.37646 | + | 18.3676i | 0.0634915 | + | 0.847235i | ||||
\(471\) | 2.19942 | − | 29.3492i | 0.101344 | − | 1.35234i | ||||
\(472\) | 12.9753 | + | 22.4739i | 0.597238 | + | 1.03445i | ||||
\(473\) | −1.88853 | + | 14.0910i | −0.0868348 | + | 0.647905i | ||||
\(474\) | 2.00058 | − | 3.46511i | 0.0918897 | − | 0.159158i | ||||
\(475\) | −4.37926 | + | 2.10894i | −0.200934 | + | 0.0967649i | ||||
\(476\) | −5.41703 | − | 8.47598i | −0.248289 | − | 0.388496i | ||||
\(477\) | 0.263424 | − | 0.330323i | 0.0120614 | − | 0.0151245i | ||||
\(478\) | 12.3722 | − | 54.2063i | 0.565893 | − | 2.47934i | ||||
\(479\) | 2.79447 | − | 4.84017i | 0.127683 | − | 0.221153i | −0.795096 | − | 0.606484i | \(-0.792579\pi\) |
0.922778 | + | 0.385331i | \(0.125913\pi\) | |||||||
\(480\) | 5.02547 | 0.229380 | ||||||||
\(481\) | 11.9647 | + | 11.1016i | 0.545544 | + | 0.506191i | ||||
\(482\) | −69.3811 | + | 10.4575i | −3.16022 | + | 0.476327i | ||||
\(483\) | 2.73489 | − | 0.539251i | 0.124442 | − | 0.0245368i | ||||
\(484\) | −14.5483 | − | 18.2430i | −0.661287 | − | 0.829228i | ||||
\(485\) | 12.0274 | − | 5.79208i | 0.546135 | − | 0.263005i | ||||
\(486\) | 0.863504 | − | 3.78326i | 0.0391694 | − | 0.171612i | ||||
\(487\) | 24.4060 | − | 11.7533i | 1.10594 | − | 0.532594i | 0.210421 | − | 0.977611i | \(-0.432516\pi\) |
0.895522 | + | 0.445016i | \(0.146802\pi\) | |||||||
\(488\) | −23.0503 | − | 3.47427i | −1.04344 | − | 0.157273i | ||||
\(489\) | −6.44554 | − | 28.2397i | −0.291477 | − | 1.27705i | ||||
\(490\) | −14.6961 | + | 12.0936i | −0.663902 | + | 0.546331i | ||||
\(491\) | −19.9698 | + | 13.6152i | −0.901225 | + | 0.614445i | −0.922782 | − | 0.385323i | \(-0.874090\pi\) |
0.0215566 | + | 0.999768i | \(0.493138\pi\) | |||||||
\(492\) | −29.4508 | + | 36.9301i | −1.32774 | + | 1.66494i | ||||
\(493\) | −9.58460 | + | 1.44465i | −0.431669 | + | 0.0650636i | ||||
\(494\) | −1.17503 | − | 15.6796i | −0.0528669 | − | 0.705460i | ||||
\(495\) | 0.319169 | − | 0.217606i | 0.0143456 | − | 0.00978065i | ||||
\(496\) | −1.20067 | + | 3.05927i | −0.0539118 | + | 0.137365i | ||||
\(497\) | −16.0648 | − | 13.6116i | −0.720607 | − | 0.610565i | ||||
\(498\) | −40.3206 | + | 27.4901i | −1.80681 | + | 1.23186i | ||||
\(499\) | 8.15383 | − | 7.56565i | 0.365016 | − | 0.338685i | −0.476247 | − | 0.879312i | \(-0.658003\pi\) |
0.841263 | + | 0.540626i | \(0.181813\pi\) | |||||||
\(500\) | 26.9051 | − | 24.9643i | 1.20323 | − | 1.11644i | ||||
\(501\) | −17.8582 | + | 22.3934i | −0.797845 | + | 1.00047i | ||||
\(502\) | −32.3043 | − | 22.0247i | −1.44181 | − | 0.983011i | ||||
\(503\) | −7.65153 | − | 7.09959i | −0.341165 | − | 0.316555i | 0.490918 | − | 0.871206i | \(-0.336661\pi\) |
−0.832083 | + | 0.554651i | \(0.812852\pi\) | |||||||
\(504\) | −1.67608 | − | 0.175828i | −0.0746586 | − | 0.00783199i | ||||
\(505\) | 1.68168 | + | 2.10876i | 0.0748339 | + | 0.0938388i | ||||
\(506\) | 0.719920 | + | 3.15417i | 0.0320043 | + | 0.140220i | ||||
\(507\) | 12.7949 | + | 16.0444i | 0.568244 | + | 0.712555i | ||||
\(508\) | −58.8318 | + | 18.1472i | −2.61024 | + | 0.805153i | ||||
\(509\) | 15.1208 | + | 26.1900i | 0.670217 | + | 1.16085i | 0.977842 | + | 0.209342i | \(0.0671322\pi\) |
−0.307626 | + | 0.951507i | \(0.599534\pi\) | |||||||
\(510\) | 2.35300 | + | 4.07551i | 0.104193 | + | 0.180467i | ||||
\(511\) | −7.88649 | − | 28.5540i | −0.348878 | − | 1.26316i | ||||
\(512\) | 15.5075 | − | 19.4458i | 0.685342 | − | 0.859391i | ||||
\(513\) | −6.29306 | − | 3.03058i | −0.277846 | − | 0.133803i | ||||
\(514\) | 42.5045 | + | 28.9791i | 1.87479 | + | 1.27821i | ||||
\(515\) | 5.37801 | + | 9.31499i | 0.236983 | + | 0.410467i | ||||
\(516\) | −31.6001 | + | 26.0577i | −1.39112 | + | 1.14713i | ||||
\(517\) | 14.6875 | 0.645957 | ||||||||
\(518\) | −8.36520 | − | 18.7785i | −0.367546 | − | 0.825081i | ||||
\(519\) | −1.58509 | − | 21.1515i | −0.0695775 | − | 0.928448i | ||||
\(520\) | 8.49223 | + | 21.6378i | 0.372409 | + | 0.948882i | ||||
\(521\) | −3.62289 | − | 3.36155i | −0.158722 | − | 0.147272i | 0.596814 | − | 0.802380i | \(-0.296433\pi\) |
−0.755536 | + | 0.655107i | \(0.772623\pi\) | |||||||
\(522\) | −1.76491 | + | 3.05692i | −0.0772482 | + | 0.133798i | ||||
\(523\) | 15.7999 | + | 27.3663i | 0.690883 | + | 1.19664i | 0.971549 | + | 0.236839i | \(0.0761114\pi\) |
−0.280666 | + | 0.959806i | \(0.590555\pi\) | |||||||
\(524\) | −0.350627 | + | 1.53620i | −0.0153172 | + | 0.0671090i | ||||
\(525\) | −13.2204 | + | 9.91480i | −0.576986 | + | 0.432717i | ||||
\(526\) | 37.8842 | − | 35.1514i | 1.65183 | − | 1.53267i | ||||
\(527\) | 1.44273 | − | 0.217457i | 0.0628463 | − | 0.00947256i | ||||
\(528\) | −0.631670 | + | 8.42906i | −0.0274899 | + | 0.366828i | ||||
\(529\) | 5.03111 | − | 22.0427i | 0.218744 | − | 0.958380i | ||||
\(530\) | 6.06436 | + | 4.13461i | 0.263419 | + | 0.179596i | ||||
\(531\) | −0.364590 | − | 0.928961i | −0.0158219 | − | 0.0403135i | ||||
\(532\) | −4.15414 | + | 12.1708i | −0.180105 | + | 0.527671i | ||||
\(533\) | 36.2548 | + | 11.1831i | 1.57037 | + | 0.484395i | ||||
\(534\) | −0.251036 | − | 3.34984i | −0.0108634 | − | 0.144962i | ||||
\(535\) | −4.36929 | − | 11.1328i | −0.188901 | − | 0.481311i | ||||
\(536\) | 34.9989 | − | 5.27523i | 1.51172 | − | 0.227855i | ||||
\(537\) | −2.51622 | + | 1.71553i | −0.108583 | + | 0.0740305i | ||||
\(538\) | −38.9375 | − | 18.7513i | −1.67872 | − | 0.808427i | ||||
\(539\) | 8.74077 | + | 12.4067i | 0.376492 | + | 0.534393i | ||||
\(540\) | 22.1940 | + | 3.34521i | 0.955079 | + | 0.143955i | ||||
\(541\) | −1.10741 | − | 14.7773i | −0.0476111 | − | 0.635326i | −0.969060 | − | 0.246826i | \(-0.920612\pi\) |
0.921449 | − | 0.388500i | \(-0.127007\pi\) | |||||||
\(542\) | −11.3456 | − | 49.7082i | −0.487335 | − | 2.13515i | ||||
\(543\) | −0.360636 | + | 0.334621i | −0.0154764 | + | 0.0143600i | ||||
\(544\) | −2.65707 | − | 0.400489i | −0.113921 | − | 0.0171708i | ||||
\(545\) | 0.689903 | − | 9.20611i | 0.0295522 | − | 0.394347i | ||||
\(546\) | −14.2318 | − | 51.5281i | −0.609066 | − | 2.20520i | ||||
\(547\) | 3.94758 | + | 2.69142i | 0.168787 | + | 0.115077i | 0.644767 | − | 0.764379i | \(-0.276954\pi\) |
−0.475981 | + | 0.879456i | \(0.657907\pi\) | |||||||
\(548\) | −67.4262 | + | 10.1629i | −2.88031 | + | 0.434136i | ||||
\(549\) | 0.856596 | + | 0.264225i | 0.0365586 | + | 0.0112768i | ||||
\(550\) | −11.9583 | − | 14.9952i | −0.509902 | − | 0.639397i | ||||
\(551\) | 9.08394 | + | 8.42867i | 0.386989 | + | 0.359073i | ||||
\(552\) | −2.14400 | + | 3.71352i | −0.0912547 | + | 0.158058i | ||||
\(553\) | 2.23633 | + | 1.38134i | 0.0950984 | + | 0.0587407i | ||||
\(554\) | 3.41515 | − | 1.05343i | 0.145096 | − | 0.0447561i | ||||
\(555\) | 2.28167 | + | 5.81361i | 0.0968516 | + | 0.246774i | ||||
\(556\) | 46.4470 | − | 31.6671i | 1.96979 | − | 1.34298i | ||||
\(557\) | −17.8673 | − | 12.1817i | −0.757061 | − | 0.516156i | 0.122194 | − | 0.992506i | \(-0.461007\pi\) |
−0.879255 | + | 0.476351i | \(0.841959\pi\) | |||||||
\(558\) | 0.265665 | − | 0.460145i | 0.0112465 | − | 0.0194795i | ||||
\(559\) | 28.7562 | + | 15.9806i | 1.21626 | + | 0.675908i | ||||
\(560\) | 0.206947 | − | 6.96071i | 0.00874509 | − | 0.294144i | ||||
\(561\) | 3.38097 | − | 1.62819i | 0.142745 | − | 0.0687422i | ||||
\(562\) | 52.4354 | + | 25.2516i | 2.21185 | + | 1.06517i | ||||
\(563\) | −6.28825 | − | 0.947801i | −0.265018 | − | 0.0399451i | 0.0151889 | − | 0.999885i | \(-0.495165\pi\) |
−0.280207 | + | 0.959940i | \(0.590403\pi\) | |||||||
\(564\) | 31.0182 | + | 28.7806i | 1.30610 | + | 1.21188i | ||||
\(565\) | 13.7570 | 0.578763 | ||||||||
\(566\) | 17.9150 | − | 31.0298i | 0.753025 | − | 1.30428i | ||||
\(567\) | −21.7820 | − | 5.65757i | −0.914756 | − | 0.237596i | ||||
\(568\) | 32.0281 | − | 4.82746i | 1.34387 | − | 0.202556i | ||||
\(569\) | 6.08127 | + | 26.6438i | 0.254940 | + | 1.11697i | 0.926583 | + | 0.376091i | \(0.122732\pi\) |
−0.671643 | + | 0.740875i | \(0.734411\pi\) | |||||||
\(570\) | 2.19805 | − | 5.60054i | 0.0920662 | − | 0.234581i | ||||
\(571\) | 2.05588 | − | 27.4338i | 0.0860360 | − | 1.14807i | −0.772395 | − | 0.635142i | \(-0.780942\pi\) |
0.858431 | − | 0.512928i | \(-0.171439\pi\) | |||||||
\(572\) | 38.4997 | − | 11.8756i | 1.60975 | − | 0.496543i | ||||
\(573\) | 2.72762 | − | 36.3976i | 0.113948 | − | 1.52053i | ||||
\(574\) | −36.4589 | − | 30.8914i | −1.52177 | − | 1.28938i | ||||
\(575\) | −0.514979 | − | 2.25627i | −0.0214761 | − | 0.0940930i | ||||
\(576\) | −1.24785 | + | 1.15783i | −0.0519936 | + | 0.0482430i | ||||
\(577\) | −18.3871 | − | 8.85476i | −0.765465 | − | 0.368628i | 0.0100569 | − | 0.999949i | \(-0.496799\pi\) |
−0.775522 | + | 0.631321i | \(0.782513\pi\) | |||||||
\(578\) | 13.9141 | + | 35.4525i | 0.578750 | + | 1.47463i | ||||
\(579\) | 0.776256 | + | 0.973394i | 0.0322601 | + | 0.0404529i | ||||
\(580\) | −35.8766 | − | 17.2773i | −1.48969 | − | 0.717399i | ||||
\(581\) | −17.2644 | − | 27.0135i | −0.716249 | − | 1.12071i | ||||
\(582\) | 17.2535 | − | 43.9612i | 0.715180 | − | 1.82225i | ||||
\(583\) | 3.64913 | − | 4.57586i | 0.151131 | − | 0.189513i | ||||
\(584\) | 41.0557 | + | 19.7714i | 1.69890 | + | 0.818146i | ||||
\(585\) | −0.198908 | − | 0.871473i | −0.00822383 | − | 0.0360310i | ||||
\(586\) | 20.4024 | + | 6.29330i | 0.842814 | + | 0.259974i | ||||
\(587\) | 5.28361 | + | 13.4624i | 0.218078 | + | 0.555654i | 0.997486 | − | 0.0708630i | \(-0.0225753\pi\) |
−0.779408 | + | 0.626517i | \(0.784480\pi\) | |||||||
\(588\) | −5.85184 | + | 43.3290i | −0.241326 | + | 1.78686i | ||||
\(589\) | −1.36737 | − | 1.26873i | −0.0563414 | − | 0.0522772i | ||||
\(590\) | 15.6196 | − | 7.52200i | 0.643048 | − | 0.309676i | ||||
\(591\) | −2.78733 | + | 7.10201i | −0.114656 | + | 0.292138i | ||||
\(592\) | 7.18765 | + | 2.21710i | 0.295411 | + | 0.0911222i | ||||
\(593\) | 11.6269 | − | 29.6249i | 0.477459 | − | 1.21655i | −0.465919 | − | 0.884828i | \(-0.654276\pi\) |
0.943378 | − | 0.331719i | \(-0.107629\pi\) | |||||||
\(594\) | 6.13296 | − | 26.8703i | 0.251639 | − | 1.10250i | ||||
\(595\) | −2.72215 | + | 1.46555i | −0.111597 | + | 0.0600816i | ||||
\(596\) | 23.6564 | + | 40.9741i | 0.969004 | + | 1.67836i | ||||
\(597\) | −7.26201 | + | 31.8170i | −0.297214 | + | 1.30218i | ||||
\(598\) | 7.40289 | + | 1.11581i | 0.302727 | + | 0.0456287i | ||||
\(599\) | 21.8866 | − | 14.9220i | 0.894262 | − | 0.609697i | −0.0265744 | − | 0.999647i | \(-0.508460\pi\) |
0.920836 | + | 0.389949i | \(0.127508\pi\) | |||||||
\(600\) | 1.89966 | − | 25.3492i | 0.0775533 | − | 1.03488i | ||||
\(601\) | −4.59068 | −0.187258 | −0.0936289 | − | 0.995607i | \(-0.529847\pi\) | ||||
−0.0936289 | + | 0.995607i | \(0.529847\pi\) | |||||||
\(602\) | −25.4000 | − | 32.7379i | −1.03523 | − | 1.33430i | ||||
\(603\) | −1.36110 | −0.0554283 | ||||||||
\(604\) | 3.16812 | − | 42.2757i | 0.128909 | − | 1.72017i | ||||
\(605\) | −5.92530 | + | 4.03980i | −0.240898 | + | 0.164241i | ||||
\(606\) | 9.43527 | + | 1.42214i | 0.383282 | + | 0.0577704i | ||||
\(607\) | −0.627467 | + | 2.74911i | −0.0254681 | + | 0.111583i | −0.986064 | − | 0.166365i | \(-0.946797\pi\) |
0.960596 | + | 0.277948i | \(0.0896542\pi\) | |||||||
\(608\) | 1.71767 | + | 2.97509i | 0.0696606 | + | 0.120656i | ||||
\(609\) | 35.8438 | + | 22.1401i | 1.45247 | + | 0.897164i | ||||
\(610\) | −3.46526 | + | 15.1823i | −0.140304 | + | 0.614714i | ||||
\(611\) | 12.4169 | − | 31.6378i | 0.502334 | − | 1.27993i | ||||
\(612\) | −0.568612 | − | 0.175394i | −0.0229848 | − | 0.00708987i | ||||
\(613\) | 11.5597 | − | 29.4537i | 0.466894 | − | 1.18963i | −0.482601 | − | 0.875841i | \(-0.660308\pi\) |
0.949494 | − | 0.313785i | \(-0.101597\pi\) | |||||||
\(614\) | −7.52315 | + | 3.62296i | −0.303610 | + | 0.146211i | ||||
\(615\) | 10.6420 | + | 9.87433i | 0.429127 | + | 0.398172i | ||||
\(616\) | −23.2182 | − | 2.43568i | −0.935488 | − | 0.0981364i | ||||
\(617\) | 4.99632 | + | 12.7304i | 0.201144 | + | 0.512507i | 0.995480 | − | 0.0949717i | \(-0.0302761\pi\) |
−0.794336 | + | 0.607479i | \(0.792181\pi\) | |||||||
\(618\) | 36.3608 | + | 11.2158i | 1.46264 | + | 0.451166i | ||||
\(619\) | 9.49911 | + | 41.6183i | 0.381801 | + | 1.67278i | 0.691835 | + | 0.722056i | \(0.256803\pi\) |
−0.310034 | + | 0.950726i | \(0.600340\pi\) | |||||||
\(620\) | 5.40035 | + | 2.60067i | 0.216883 | + | 0.104446i | ||||
\(621\) | 2.07352 | − | 2.60012i | 0.0832076 | − | 0.104339i | ||||
\(622\) | −7.36818 | + | 18.7738i | −0.295437 | + | 0.752762i | ||||
\(623\) | 2.20460 | − | 0.0994461i | 0.0883254 | − | 0.00398422i | ||||
\(624\) | 17.6226 | + | 8.48661i | 0.705470 | + | 0.339736i | ||||
\(625\) | 4.51389 | + | 5.66024i | 0.180556 | + | 0.226410i | ||||
\(626\) | −16.2899 | − | 41.5060i | −0.651076 | − | 1.65891i | ||||
\(627\) | −4.32244 | − | 2.08158i | −0.172622 | − | 0.0831302i | ||||
\(628\) | −47.3916 | + | 43.9730i | −1.89113 | + | 1.75471i | ||||
\(629\) | −0.743072 | − | 3.25561i | −0.0296282 | − | 0.129810i | ||||
\(630\) | −0.200810 | + | 1.10780i | −0.00800047 | + | 0.0441360i | ||||
\(631\) | 1.07913 | − | 14.4000i | 0.0429596 | − | 0.573257i | −0.933643 | − | 0.358205i | \(-0.883389\pi\) |
0.976603 | − | 0.215052i | \(-0.0689920\pi\) | |||||||
\(632\) | −3.86379 | + | 1.19182i | −0.153693 | + | 0.0474081i | ||||
\(633\) | 1.20616 | − | 16.0951i | 0.0479405 | − | 0.639722i | ||||
\(634\) | −6.11236 | + | 15.5740i | −0.242753 | + | 0.618524i | ||||
\(635\) | 4.21056 | + | 18.4477i | 0.167091 | + | 0.732074i | ||||
\(636\) | 16.6730 | − | 2.51305i | 0.661127 | − | 0.0996489i | ||||
\(637\) | 34.1141 | − | 8.33946i | 1.35165 | − | 0.330421i | ||||
\(638\) | −24.4488 | + | 42.3465i | −0.967935 | + | 1.67651i | ||||
\(639\) | −1.24557 | −0.0492739 | ||||||||
\(640\) | −17.3084 | − | 16.0599i | −0.684175 | − | 0.634822i | ||||
\(641\) | −47.7347 | − | 7.19485i | −1.88541 | − | 0.284179i | −0.897713 | − | 0.440580i | \(-0.854773\pi\) |
−0.987694 | + | 0.156401i | \(0.950011\pi\) | |||||||
\(642\) | −38.1188 | − | 18.3571i | −1.50443 | − | 0.724495i | ||||
\(643\) | 0.572848 | − | 0.275869i | 0.0225909 | − | 0.0108792i | −0.422554 | − | 0.906338i | \(-0.638866\pi\) |
0.445145 | + | 0.895458i | \(0.353152\pi\) | |||||||
\(644\) | −5.20949 | − | 3.21782i | −0.205283 | − | 0.126800i | ||||
\(645\) | 7.26045 | + | 10.2833i | 0.285880 | + | 0.404906i | ||||
\(646\) | −1.60847 | + | 2.78596i | −0.0632846 | + | 0.109612i | ||||
\(647\) | −11.5724 | − | 7.88990i | −0.454956 | − | 0.310184i | 0.314072 | − | 0.949399i | \(-0.398307\pi\) |
−0.769028 | + | 0.639216i | \(0.779259\pi\) | |||||||
\(648\) | 28.6030 | − | 19.5012i | 1.12363 | − | 0.766080i | ||||
\(649\) | −5.05055 | − | 12.8686i | −0.198251 | − | 0.505136i | ||||
\(650\) | −42.4100 | + | 13.0818i | −1.66346 | + | 0.513109i | ||||
\(651\) | −5.39542 | − | 3.33266i | −0.211463 | − | 0.130617i | ||||
\(652\) | −31.8136 | + | 55.1027i | −1.24592 | + | 2.15799i | ||||
\(653\) | −13.2646 | − | 12.3078i | −0.519084 | − | 0.481640i | 0.376572 | − | 0.926388i | \(-0.377103\pi\) |
−0.895656 | + | 0.444748i | \(0.853293\pi\) | |||||||
\(654\) | −20.3629 | − | 25.5342i | −0.796252 | − | 0.998468i | ||||
\(655\) | 0.462763 | + | 0.142744i | 0.0180817 | + | 0.00557745i | ||||
\(656\) | 17.2894 | − | 2.60595i | 0.675036 | − | 0.101745i | ||||
\(657\) | −1.44786 | − | 0.987137i | −0.0564866 | − | 0.0385119i | ||||
\(658\) | −30.0360 | + | 30.5008i | −1.17092 | + | 1.18904i | ||||
\(659\) | −0.181841 | + | 2.42650i | −0.00708352 | + | 0.0945231i | −0.999625 | − | 0.0273846i | \(-0.991282\pi\) |
0.992541 | + | 0.121908i | \(0.0389012\pi\) | |||||||
\(660\) | 15.2441 | + | 2.29768i | 0.593377 | + | 0.0894372i | ||||
\(661\) | −6.04568 | + | 5.60957i | −0.235150 | + | 0.218187i | −0.788942 | − | 0.614468i | \(-0.789371\pi\) |
0.553792 | + | 0.832655i | \(0.313180\pi\) | |||||||
\(662\) | 16.6100 | + | 72.7733i | 0.645567 | + | 2.82841i | ||||
\(663\) | −0.648923 | − | 8.65928i | −0.0252021 | − | 0.336298i | ||||
\(664\) | 48.7649 | + | 7.35013i | 1.89245 | + | 0.285240i | ||||
\(665\) | 3.63472 | + | 1.55270i | 0.140948 | + | 0.0602112i | ||||
\(666\) | −1.09565 | − | 0.527636i | −0.0424555 | − | 0.0204455i | ||||
\(667\) | −4.87497 | + | 3.32370i | −0.188760 | + | 0.128694i | ||||
\(668\) | 62.2134 | − | 9.37716i | 2.40711 | − | 0.362813i | ||||
\(669\) | −13.5352 | − | 34.4871i | −0.523301 | − | 1.33335i | ||||
\(670\) | −1.76701 | − | 23.5791i | −0.0682656 | − | 0.910941i | ||||
\(671\) | 11.8661 | + | 3.66022i | 0.458087 | + | 0.141301i | ||||
\(672\) | 7.68614 | + | 8.79398i | 0.296499 | + | 0.339235i | ||||
\(673\) | −4.87464 | − | 12.4204i | −0.187904 | − | 0.478771i | 0.805615 | − | 0.592439i | \(-0.201835\pi\) |
−0.993519 | + | 0.113669i | \(0.963740\pi\) | |||||||
\(674\) | −18.8356 | − | 12.8419i | −0.725520 | − | 0.494651i | ||||
\(675\) | −4.38708 | + | 19.2211i | −0.168859 | + | 0.739819i | ||||
\(676\) | 3.36867 | − | 44.9518i | 0.129564 | − | 1.72892i | ||||
\(677\) | 11.0419 | − | 1.66430i | 0.424375 | − | 0.0639643i | 0.0666173 | − | 0.997779i | \(-0.478779\pi\) |
0.357758 | + | 0.933814i | \(0.383541\pi\) | |||||||
\(678\) | 35.6761 | − | 33.1026i | 1.37013 | − | 1.27130i | ||||
\(679\) | 28.5306 | + | 12.1879i | 1.09490 | + | 0.467728i | ||||
\(680\) | 1.05824 | − | 4.63647i | 0.0405818 | − | 0.177801i | ||||
\(681\) | −20.7514 | − | 35.9424i | −0.795194 | − | 1.37732i | ||||
\(682\) | 3.68017 | − | 6.37424i | 0.140921 | − | 0.244082i | ||||
\(683\) | 28.0610 | + | 26.0368i | 1.07372 | + | 0.996271i | 0.999999 | − | 0.00100796i | \(-0.000320844\pi\) |
0.0737249 | + | 0.997279i | \(0.476511\pi\) | |||||||
\(684\) | 0.277932 | + | 0.708159i | 0.0106270 | + | 0.0270771i | ||||
\(685\) | 1.56611 | + | 20.8983i | 0.0598381 | + | 0.798485i | ||||
\(686\) | −43.6391 | − | 7.22012i | −1.66615 | − | 0.275666i | ||||
\(687\) | 29.9794 | 1.14379 | ||||||||
\(688\) | 15.1352 | + | 0.885359i | 0.577024 | + | 0.0337540i | ||||
\(689\) | −6.77167 | − | 11.7289i | −0.257980 | − | 0.446834i | ||||
\(690\) | 2.36686 | + | 1.61370i | 0.0901047 | + | 0.0614323i | ||||
\(691\) | 30.0137 | + | 14.4538i | 1.14178 | + | 0.549850i | 0.906553 | − | 0.422092i | \(-0.138704\pi\) |
0.235222 | + | 0.971942i | \(0.424418\pi\) | |||||||
\(692\) | −29.0496 | + | 36.4271i | −1.10430 | + | 1.38475i | ||||
\(693\) | 0.868934 | + | 0.225694i | 0.0330081 | + | 0.00857341i | ||||
\(694\) | 36.8976 | + | 63.9086i | 1.40061 | + | 2.42594i | ||||
\(695\) | −8.63860 | − | 14.9625i | −0.327681 | − | 0.567560i | ||||
\(696\) | −61.9287 | + | 19.1025i | −2.34740 | + | 0.724078i | ||||
\(697\) | −4.83975 | − | 6.06885i | −0.183319 | − | 0.229874i | ||||
\(698\) | −8.40607 | − | 36.8294i | −0.318174 | − | 1.39401i | ||||
\(699\) | 25.1924 | + | 31.5903i | 0.952865 | + | 1.19486i | ||||
\(700\) | 36.1014 | + | 3.78719i | 1.36451 | + | 0.143142i | ||||
\(701\) | 7.80696 | + | 7.24380i | 0.294865 | + | 0.273594i | 0.813707 | − | 0.581276i | \(-0.197446\pi\) |
−0.518842 | + | 0.854870i | \(0.673637\pi\) | |||||||
\(702\) | −52.6952 | − | 35.9270i | −1.98885 | − | 1.35598i | ||||
\(703\) | −2.66181 | + | 3.33780i | −0.100392 | + | 0.125888i | ||||
\(704\) | −17.2860 | + | 16.0391i | −0.651490 | + | 0.604495i | ||||
\(705\) | 9.53316 | − | 8.84548i | 0.359039 | − | 0.333140i | ||||
\(706\) | −3.04065 | + | 2.07308i | −0.114437 | + | 0.0780215i | ||||
\(707\) | −1.11806 | + | 6.16797i | −0.0420490 | + | 0.231970i | ||||
\(708\) | 14.5503 | − | 37.0734i | 0.546832 | − | 1.39331i | ||||
\(709\) | −12.2336 | + | 8.34076i | −0.459444 | + | 0.313244i | −0.770831 | − | 0.637039i | \(-0.780159\pi\) |
0.311387 | + | 0.950283i | \(0.399206\pi\) | |||||||
\(710\) | −1.61702 | − | 21.5777i | −0.0606858 | − | 0.809796i | ||||
\(711\) | 0.153755 | − | 0.0231749i | 0.00576627 | − | 0.000869126i | ||||
\(712\) | −2.11657 | + | 2.65410i | −0.0793220 | + | 0.0994666i | ||||
\(713\) | 0.733809 | − | 0.500303i | 0.0274814 | − | 0.0187365i | ||||
\(714\) | −3.53291 | + | 10.3507i | −0.132216 | + | 0.387366i | ||||
\(715\) | −2.75541 | − | 12.0722i | −0.103046 | − | 0.451475i | ||||
\(716\) | 6.61484 | + | 0.997026i | 0.247208 | + | 0.0372606i | ||||
\(717\) | −35.3688 | + | 17.0327i | −1.32087 | + | 0.636098i | ||||
\(718\) | 16.7252 | − | 73.2779i | 0.624179 | − | 2.73471i | ||||
\(719\) | −30.7399 | + | 14.8036i | −1.14641 | + | 0.552080i | −0.907952 | − | 0.419073i | \(-0.862355\pi\) |
−0.238454 | + | 0.971154i | \(0.576641\pi\) | |||||||
\(720\) | −0.256842 | − | 0.322070i | −0.00957194 | − | 0.0120028i | ||||
\(721\) | −8.07480 | + | 23.6576i | −0.300721 | + | 0.881054i | ||||
\(722\) | −40.8045 | + | 6.15028i | −1.51858 | + | 0.228890i | ||||
\(723\) | 36.3151 | + | 33.6955i | 1.35057 | + | 1.25315i | ||||
\(724\) | 1.08066 | 0.0401623 | ||||||||
\(725\) | 17.4889 | − | 30.2916i | 0.649521 | − | 1.12500i | ||||
\(726\) | −5.64538 | + | 24.7340i | −0.209520 | + | 0.917965i | ||||
\(727\) | −10.9515 | + | 13.7328i | −0.406169 | + | 0.509320i | −0.942279 | − | 0.334828i | \(-0.891322\pi\) |
0.536110 | + | 0.844148i | \(0.319893\pi\) | |||||||
\(728\) | −24.8754 | + | 47.9541i | −0.921942 | + | 1.77730i | ||||
\(729\) | −25.4594 | + | 12.2606i | −0.942940 | + | 0.454096i | ||||
\(730\) | 15.2211 | − | 26.3637i | 0.563358 | − | 0.975764i | ||||
\(731\) | −3.01926 | − | 6.01562i | −0.111671 | − | 0.222496i | ||||
\(732\) | 17.8874 | + | 30.9819i | 0.661138 | + | 1.14512i | ||||
\(733\) | −2.07824 | + | 27.7322i | −0.0767615 | + | 1.02431i | 0.817255 | + | 0.576276i | \(0.195495\pi\) |
−0.894016 | + | 0.448034i | \(0.852124\pi\) | |||||||
\(734\) | 0.615377 | + | 8.21164i | 0.0227140 | + | 0.303097i | ||||
\(735\) | 13.1452 | + | 2.78865i | 0.484867 | + | 0.102861i | ||||
\(736\) | −1.56300 | + | 0.482123i | −0.0576131 | + | 0.0177713i | ||||
\(737\) | −18.8549 | −0.694528 | ||||||||
\(738\) | −2.82680 | −0.104056 | ||||||||
\(739\) | 26.5882 | − | 8.20136i | 0.978061 | − | 0.301692i | 0.235799 | − | 0.971802i | \(-0.424229\pi\) |
0.742262 | + | 0.670110i | \(0.233753\pi\) | |||||||
\(740\) | 5.01196 | − | 12.7703i | 0.184243 | − | 0.469444i | ||||
\(741\) | −8.13804 | + | 7.55100i | −0.298958 | + | 0.277393i | ||||
\(742\) | 2.03998 | + | 16.9356i | 0.0748899 | + | 0.621724i | ||||
\(743\) | −3.21437 | − | 2.19152i | −0.117924 | − | 0.0803991i | 0.502922 | − | 0.864332i | \(-0.332258\pi\) |
−0.620846 | + | 0.783933i | \(0.713211\pi\) | |||||||
\(744\) | 9.32187 | − | 2.87542i | 0.341756 | − | 0.105418i | ||||
\(745\) | 13.1012 | − | 6.30918i | 0.479989 | − | 0.231151i | ||||
\(746\) | 18.7015 | − | 23.4509i | 0.684709 | − | 0.858598i | ||||
\(747\) | −1.81221 | − | 0.558991i | −0.0663051 | − | 0.0204524i | ||||
\(748\) | −7.87680 | − | 2.42967i | −0.288004 | − | 0.0888375i | ||||
\(749\) | 12.7985 | − | 24.6726i | 0.467646 | − | 0.901517i | ||||
\(750\) | −39.4604 | − | 5.94769i | −1.44089 | − | 0.217179i | ||||
\(751\) | −19.3540 | − | 24.2692i | −0.706239 | − | 0.885595i | 0.291234 | − | 0.956652i | \(-0.405934\pi\) |
−0.997472 | + | 0.0710566i | \(0.977363\pi\) | |||||||
\(752\) | −1.17049 | − | 15.6190i | −0.0426832 | − | 0.569568i | ||||
\(753\) | 2.06293 | + | 27.5278i | 0.0751772 | + | 1.00317i | ||||
\(754\) | 70.5476 | + | 88.4639i | 2.56919 | + | 3.22166i | ||||
\(755\) | −12.8840 | − | 1.94195i | −0.468896 | − | 0.0706746i | ||||
\(756\) | 28.0907 | + | 43.9533i | 1.02165 | + | 1.59856i | ||||
\(757\) | 33.9481 | + | 10.4716i | 1.23387 | + | 0.380597i | 0.842026 | − | 0.539436i | \(-0.181363\pi\) |
0.391840 | + | 0.920034i | \(0.371839\pi\) | |||||||
\(758\) | 20.4100 | + | 6.29564i | 0.741324 | + | 0.228668i | ||||
\(759\) | 1.42422 | − | 1.78591i | 0.0516957 | − | 0.0648244i | ||||
\(760\) | −5.47788 | + | 2.63801i | −0.198704 | + | 0.0956906i | ||||
\(761\) | −23.9809 | + | 7.39712i | −0.869306 | + | 0.268145i | −0.697151 | − | 0.716924i | \(-0.745549\pi\) |
−0.172155 | + | 0.985070i | \(0.555073\pi\) | |||||||
\(762\) | 55.3086 | + | 37.7088i | 2.00362 | + | 1.36604i | ||||
\(763\) | 17.1648 | − | 12.8729i | 0.621407 | − | 0.466031i | ||||
\(764\) | −58.7729 | + | 54.5333i | −2.12633 | + | 1.97295i | ||||
\(765\) | −0.0668147 | + | 0.170241i | −0.00241569 | + | 0.00615508i | ||||
\(766\) | 39.8567 | − | 12.2942i | 1.44008 | − | 0.444206i | ||||
\(767\) | −31.9894 | −1.15507 | ||||||||
\(768\) | −46.8485 | −1.69050 | ||||||||
\(769\) | 28.4592 | − | 8.77849i | 1.02626 | − | 0.316560i | 0.264479 | − | 0.964391i | \(-0.414800\pi\) |
0.761784 | + | 0.647831i | \(0.224324\pi\) | |||||||
\(770\) | −2.78176 | + | 15.3460i | −0.100248 | + | 0.553033i | ||||
\(771\) | −2.71430 | − | 36.2198i | −0.0977531 | − | 1.30442i | ||||
\(772\) | 0.204374 | − | 2.72718i | 0.00735557 | − | 0.0981533i | ||||
\(773\) | 11.8251 | + | 20.4816i | 0.425318 | + | 0.736673i | 0.996450 | − | 0.0841855i | \(-0.0268288\pi\) |
−0.571132 | + | 0.820858i | \(0.693495\pi\) | |||||||
\(774\) | −2.39829 | − | 0.506240i | −0.0862047 | − | 0.0181964i | ||||
\(775\) | −2.63253 | + | 4.55967i | −0.0945632 | + | 0.163788i | ||||
\(776\) | −42.9984 | + | 20.7069i | −1.54355 | + | 0.743335i | ||||
\(777\) | −6.68346 | + | 12.8842i | −0.239768 | + | 0.462219i | ||||
\(778\) | 13.8700 | − | 17.3924i | 0.497262 | − | 0.623547i | ||||
\(779\) | −2.20827 | + | 9.67506i | −0.0791194 | + | 0.346645i | ||||
\(780\) | 17.8368 | − | 30.8942i | 0.638660 | − | 1.10619i | ||||
\(781\) | −17.2544 | −0.617412 | ||||||||
\(782\) | −1.12281 | − | 1.04181i | −0.0401516 | − | 0.0372552i | ||||
\(783\) | 49.7021 | − | 7.49139i | 1.77621 | − | 0.267721i | ||||
\(784\) | 12.4969 | − | 10.2838i | 0.446319 | − | 0.367280i | ||||
\(785\) | 12.3885 | + | 15.5346i | 0.442163 | + | 0.554455i | ||||
\(786\) | 1.54356 | − | 0.743337i | 0.0550568 | − | 0.0265140i | ||||
\(787\) | 4.44068 | − | 19.4559i | 0.158293 | − | 0.693528i | −0.832028 | − | 0.554734i | \(-0.812820\pi\) |
0.990321 | − | 0.138794i | \(-0.0443227\pi\) | |||||||
\(788\) | 15.0992 | − | 7.27140i | 0.537887 | − | 0.259033i | ||||
\(789\) | −36.0810 | − | 5.43833i | −1.28452 | − | 0.193610i | ||||
\(790\) | 0.601080 | + | 2.63350i | 0.0213855 | + | 0.0936958i | ||||
\(791\) | 21.0406 | + | 24.0732i | 0.748116 | + | 0.855945i | ||||
\(792\) | −1.14104 | + | 0.777950i | −0.0405452 | + | 0.0276433i | ||||
\(793\) | 17.9160 | − | 22.4659i | 0.636215 | − | 0.797789i | ||||
\(794\) | −14.6192 | + | 2.20348i | −0.518814 | + | 0.0781987i | ||||
\(795\) | −0.387265 | − | 5.16769i | −0.0137349 | − | 0.183279i | ||||
\(796\) | 59.2306 | − | 40.3827i | 2.09937 | − | 1.43133i | ||||
\(797\) | 12.1337 | − | 30.9161i | 0.429796 | − | 1.09510i | −0.537905 | − | 0.843005i | \(-0.680784\pi\) |
0.967702 | − | 0.252098i | \(-0.0811205\pi\) | |||||||
\(798\) | 13.1621 | − | 4.71935i | 0.465932 | − | 0.167063i | ||||
\(799\) | −5.74530 | + | 3.91708i | −0.203254 | + | 0.138576i | ||||
\(800\) | 7.10814 | − | 6.59539i | 0.251311 | − | 0.233182i | ||||
\(801\) | 0.0956967 | − | 0.0887936i | 0.00338128 | − | 0.00313737i | ||||
\(802\) | −12.3943 | + | 15.5420i | −0.437658 | + | 0.548805i | ||||
\(803\) | −20.0568 | − | 13.6745i | −0.707788 | − | 0.482562i | ||||
\(804\) | −39.8190 | − | 36.9467i | −1.40431 | − | 1.30301i | ||||
\(805\) | −1.10585 | + | 1.52271i | −0.0389762 | + | 0.0536684i | ||||
\(806\) | −10.6192 | − | 13.3161i | −0.374046 | − | 0.469039i | ||||
\(807\) | 6.78989 | + | 29.7484i | 0.239015 | + | 1.04719i | ||||
\(808\) | −6.01209 | − | 7.53892i | −0.211505 | − | 0.265218i | ||||
\(809\) | −28.9054 | + | 8.91615i | −1.01626 | + | 0.313475i | −0.757758 | − | 0.652535i | \(-0.773705\pi\) |
−0.258503 | + | 0.966010i | \(0.583229\pi\) | |||||||
\(810\) | −11.5635 | − | 20.0285i | −0.406299 | − | 0.703730i | ||||
\(811\) | −3.40776 | − | 5.90241i | −0.119663 | − | 0.207262i | 0.799971 | − | 0.600038i | \(-0.204848\pi\) |
−0.919634 | + | 0.392776i | \(0.871515\pi\) | |||||||
\(812\) | −24.6378 | − | 89.2043i | −0.864619 | − | 3.13046i | ||||
\(813\) | −22.4449 | + | 28.1451i | −0.787178 | + | 0.987091i | ||||
\(814\) | −15.1776 | − | 7.30917i | −0.531976 | − | 0.256186i | ||||
\(815\) | 16.1573 | + | 11.0159i | 0.565966 | + | 0.385869i | ||||
\(816\) | −2.00089 | − | 3.46564i | −0.0700452 | − | 0.121322i | ||||
\(817\) | −3.60619 | + | 7.81296i | −0.126165 | + | 0.273341i | ||||
\(818\) | 72.2383 | 2.52575 | ||||||||
\(819\) | 1.22076 | − | 1.68093i | 0.0426567 | − | 0.0587364i | ||||
\(820\) | −2.38308 | − | 31.8000i | −0.0832207 | − | 1.11050i | ||||
\(821\) | 0.179871 | + | 0.458304i | 0.00627755 | + | 0.0159949i | 0.933978 | − | 0.357330i | \(-0.116313\pi\) |
−0.927701 | + | 0.373325i | \(0.878218\pi\) | |||||||
\(822\) | 54.3476 | + | 50.4272i | 1.89559 | + | 1.75885i | ||||
\(823\) | 27.3009 | − | 47.2866i | 0.951650 | − | 1.64831i | 0.209795 | − | 0.977745i | \(-0.432720\pi\) |
0.741855 | − | 0.670561i | \(-0.233946\pi\) | |||||||
\(824\) | −19.2266 | − | 33.3015i | −0.669791 | − | 1.16011i | ||||
\(825\) | −3.01330 | + | 13.2021i | −0.104910 | + | 0.459639i | ||||
\(826\) | 37.0518 | + | 15.8280i | 1.28920 | + | 0.550728i | ||||
\(827\) | 27.5860 | − | 25.5961i | 0.959260 | − | 0.890064i | −0.0347448 | − | 0.999396i | \(-0.511062\pi\) |
0.994005 | + | 0.109333i | \(0.0348714\pi\) | |||||||
\(828\) | −0.358170 | + | 0.0539854i | −0.0124473 | + | 0.00187612i | ||||
\(829\) | −0.390431 | + | 5.20994i | −0.0135602 | + | 0.180949i | 0.986311 | + | 0.164896i | \(0.0527289\pi\) |
−0.999871 | + | 0.0160525i | \(0.994890\pi\) | |||||||
\(830\) | 7.33108 | − | 32.1195i | 0.254465 | − | 1.11489i | ||||
\(831\) | −2.08489 | − | 1.42146i | −0.0723242 | − | 0.0493098i | ||||
\(832\) | 19.9354 | + | 50.7945i | 0.691134 | + | 1.76098i | ||||
\(833\) | −6.72790 | − | 2.52198i | −0.233108 | − | 0.0873815i | ||||
\(834\) | −58.4056 | − | 18.0157i | −2.02242 | − | 0.623834i | ||||
\(835\) | −1.44504 | − | 19.2827i | −0.0500075 | − | 0.667304i | ||||
\(836\) | 3.85010 | + | 9.80989i | 0.133158 | + | 0.339282i | ||||
\(837\) | −7.48146 | + | 1.12765i | −0.258597 | + | 0.0389772i | ||||
\(838\) | 29.4644 | − | 20.0885i | 1.01783 | − | 0.693945i | ||||
\(839\) | 42.7557 | + | 20.5901i | 1.47609 | + | 0.710848i | 0.986901 | − | 0.161328i | \(-0.0515777\pi\) |
0.489191 | + | 0.872177i | \(0.337292\pi\) | |||||||
\(840\) | −16.5370 | + | 12.4021i | −0.570580 | + | 0.427913i | ||||
\(841\) | −59.5023 | − | 8.96853i | −2.05180 | − | 0.309260i | ||||
\(842\) | 6.07172 | + | 81.0214i | 0.209245 | + | 2.79218i | ||||
\(843\) | −9.14363 | − | 40.0609i | −0.314923 | − | 1.37977i | ||||
\(844\) | −25.9895 | + | 24.1147i | −0.894596 | + | 0.830064i | ||||
\(845\) | −13.6996 | − | 2.06488i | −0.471279 | − | 0.0710339i | ||||
\(846\) | −0.189236 | + | 2.52518i | −0.00650607 | + | 0.0868175i | ||||
\(847\) | −16.1315 | − | 4.18995i | −0.554287 | − | 0.143969i | ||||
\(848\) | −5.15688 | − | 3.51590i | −0.177088 | − | 0.120736i | ||||
\(849\) | −25.0151 | + | 3.77043i | −0.858518 | + | 0.129401i | ||||
\(850\) | 8.67682 | + | 2.67644i | 0.297612 | + | 0.0918013i | ||||
\(851\) | −1.26737 | − | 1.58923i | −0.0434449 | − | 0.0544782i | ||||
\(852\) | −36.4391 | − | 33.8106i | −1.24838 | − | 1.15833i | ||||
\(853\) | 24.1629 | − | 41.8514i | 0.827323 | − | 1.43297i | −0.0728075 | − | 0.997346i | \(-0.523196\pi\) |
0.900131 | − | 0.435620i | \(-0.143471\pi\) | |||||||
\(854\) | −31.8672 | + | 17.1566i | −1.09047 | + | 0.587087i | ||||
\(855\) | 0.223421 | − | 0.0689164i | 0.00764085 | − | 0.00235689i | ||||
\(856\) | 15.6204 | + | 39.8001i | 0.533894 | + | 1.36034i | ||||
\(857\) | 5.42761 | − | 3.70048i | 0.185404 | − | 0.126406i | −0.467061 | − | 0.884225i | \(-0.654687\pi\) |
0.652465 | + | 0.757819i | \(0.273735\pi\) | |||||||
\(858\) | −36.1941 | − | 24.6767i | −1.23565 | − | 0.842449i | ||||
\(859\) | −9.90963 | + | 17.1640i | −0.338112 | + | 0.585628i | −0.984078 | − | 0.177739i | \(-0.943122\pi\) |
0.645965 | + | 0.763367i | \(0.276455\pi\) | |||||||
\(860\) | 3.67309 | − | 27.4062i | 0.125251 | − | 0.934545i | ||||
\(861\) | −1.00265 | + | 33.7244i | −0.0341702 | + | 1.14933i | ||||
\(862\) | 15.7223 | − | 7.57148i | 0.535505 | − | 0.257886i | ||||
\(863\) | −4.43403 | − | 2.13532i | −0.150936 | − | 0.0726871i | 0.356891 | − | 0.934146i | \(-0.383837\pi\) |
−0.507827 | + | 0.861459i | \(0.669551\pi\) | |||||||
\(864\) | 13.7786 | + | 2.07679i | 0.468757 | + | 0.0706537i | ||||
\(865\) | 10.4970 | + | 9.73983i | 0.356910 | + | 0.331164i | ||||
\(866\) | −28.6942 | −0.975068 | ||||||||
\(867\) | 13.4450 | − | 23.2873i | 0.456615 | − | 0.790880i | ||||
\(868\) | 3.70863 | + | 13.4276i | 0.125879 | + | 0.455761i | ||||
\(869\) | 2.12992 | − | 0.321034i | 0.0722526 | − | 0.0108903i | ||||
\(870\) | 9.63409 | + | 42.2097i | 0.326626 | + | 1.43104i | ||||
\(871\) | −15.9400 | + | 40.6145i | −0.540106 | + | 1.37617i | ||||
\(872\) | −2.46643 | + | 32.9122i | −0.0835239 | + | 1.11455i | ||||
\(873\) | 1.75374 | − | 0.540956i | 0.0593550 | − | 0.0183086i | ||||
\(874\) | −0.146337 | + | 1.95273i | −0.00494992 | + | 0.0660521i | ||||
\(875\) | 4.67597 | − | 25.7958i | 0.158077 | − | 0.872057i | ||||
\(876\) | −15.5618 | − | 68.1805i | −0.525783 | − | 2.30361i | ||||
\(877\) | −32.2186 | + | 29.8945i | −1.08795 | + | 1.00947i | −0.0880345 | + | 0.996117i | \(0.528059\pi\) |
−0.999911 | + | 0.0133483i | \(0.995751\pi\) | |||||||
\(878\) | −66.5666 | − | 32.0568i | −2.24651 | − | 1.08186i | ||||
\(879\) | −5.50742 | − | 14.0327i | −0.185761 | − | 0.473311i | ||||
\(880\) | −3.55795 | − | 4.46153i | −0.119938 | − | 0.150398i | ||||
\(881\) | −14.3452 | − | 6.90829i | −0.483303 | − | 0.232746i | 0.176335 | − | 0.984330i | \(-0.443576\pi\) |
−0.659637 | + | 0.751584i | \(0.729290\pi\) | |||||||
\(882\) | −2.24565 | + | 1.34292i | −0.0756151 | + | 0.0452186i | ||||
\(883\) | 5.78123 | − | 14.7303i | 0.194554 | − | 0.495715i | −0.799992 | − | 0.600010i | \(-0.795163\pi\) |
0.994546 | + | 0.104295i | \(0.0332585\pi\) | |||||||
\(884\) | −11.8927 | + | 14.9130i | −0.399996 | + | 0.501579i | ||||
\(885\) | −11.0282 | − | 5.31088i | −0.370707 | − | 0.178523i | ||||
\(886\) | 10.6990 | + | 46.8752i | 0.359439 | + | 1.57480i | ||||
\(887\) | 24.7482 | + | 7.63380i | 0.830962 | + | 0.256318i | 0.680916 | − | 0.732361i | \(-0.261582\pi\) |
0.150046 | + | 0.988679i | \(0.452058\pi\) | |||||||
\(888\) | −8.15708 | − | 20.7839i | −0.273734 | − | 0.697462i | ||||
\(889\) | −25.8415 | + | 35.5826i | −0.866696 | + | 1.19340i | ||||
\(890\) | 1.66246 | + | 1.54253i | 0.0557257 | + | 0.0517059i | ||||
\(891\) | −16.6153 | + | 8.00150i | −0.556633 | + | 0.268060i | ||||
\(892\) | −29.7316 | + | 75.7550i | −0.995489 | + | 2.53646i | ||||
\(893\) | 8.49490 | + | 2.62033i | 0.284271 | + | 0.0876860i | ||||
\(894\) | 18.7939 | − | 47.8860i | 0.628560 | − | 1.60155i | ||||
\(895\) | 0.457498 | − | 2.00443i | 0.0152925 | − | 0.0670006i | ||||
\(896\) | 1.63073 | − | 54.8503i | 0.0544790 | − | 1.83242i | ||||
\(897\) | −2.64291 | − | 4.57765i | −0.0882442 | − | 0.152843i | ||||
\(898\) | −15.7347 | + | 68.9383i | −0.525075 | + | 2.30050i | ||||
\(899\) | 13.2731 | + | 2.00060i | 0.442684 | + | 0.0667238i | ||||
\(900\) | 1.77418 | − | 1.20962i | 0.0591394 | − | 0.0403206i | ||||
\(901\) | −0.207068 | + | 2.76313i | −0.00689844 | + | 0.0920533i | ||||
\(902\) | −39.1587 | −1.30384 | ||||||||
\(903\) | −6.89023 | + | 28.4326i | −0.229292 | + | 0.946179i | ||||
\(904\) | −49.1820 | −1.63577 | ||||||||
\(905\) | 0.0248202 | − | 0.331202i | 0.000825050 | − | 0.0110095i | ||||
\(906\) | −38.0847 | + | 25.9657i | −1.26528 | + | 0.862653i | ||||
\(907\) | −29.2108 | − | 4.40282i | −0.969928 | − | 0.146193i | −0.355078 | − | 0.934837i | \(-0.615546\pi\) |
−0.614850 | + | 0.788644i | \(0.710784\pi\) | |||||||
\(908\) | −20.2863 | + | 88.8799i | −0.673223 | + | 2.94958i | ||||
\(909\) | 0.185406 | + | 0.321133i | 0.00614953 | + | 0.0106513i | ||||
\(910\) | 30.7045 | + | 18.9657i | 1.01784 | + | 0.628706i | ||||
\(911\) | −3.61218 | + | 15.8260i | −0.119677 | + | 0.524339i | 0.879178 | + | 0.476494i | \(0.158093\pi\) |
−0.998855 | + | 0.0478451i | \(0.984765\pi\) | |||||||
\(912\) | −1.86913 | + | 4.76246i | −0.0618930 | + | 0.157701i | ||||
\(913\) | −25.1039 | − | 7.74352i | −0.830817 | − | 0.256273i | ||||
\(914\) | 32.5510 | − | 82.9386i | 1.07669 | − | 2.74336i | ||||
\(915\) | 9.90623 | − | 4.77059i | 0.327490 | − | 0.157711i | ||||
\(916\) | −48.2739 | − | 44.7917i | −1.59502 | − | 1.47996i | ||||
\(917\) | 0.457983 | + | 1.02810i | 0.0151239 | + | 0.0339508i | ||||
\(918\) | 4.76712 | + | 12.1464i | 0.157338 | + | 0.400892i | ||||
\(919\) | −4.86690 | − | 1.50124i | −0.160544 | − | 0.0495214i | 0.213441 | − | 0.976956i | \(-0.431533\pi\) |
−0.373985 | + | 0.927435i | \(0.622009\pi\) | |||||||
\(920\) | −0.644170 | − | 2.82230i | −0.0212377 | − | 0.0930483i | ||||
\(921\) | 5.31169 | + | 2.55798i | 0.175026 | + | 0.0842882i | ||||
\(922\) | −5.27187 | + | 6.61072i | −0.173620 | + | 0.217712i | ||||
\(923\) | −14.5870 | + | 37.1670i | −0.480136 | + | 1.22337i | ||||
\(924\) | 19.2943 | + | 30.1896i | 0.634735 | + | 0.993166i | ||||
\(925\) | 10.8570 | + | 5.22846i | 0.356976 | + | 0.171911i | ||||
\(926\) | −18.4808 | − | 23.1742i | −0.607318 | − | 0.761553i | ||||
\(927\) | 0.540243 | + | 1.37652i | 0.0177439 | + | 0.0452108i | ||||
\(928\) | −22.2730 | − | 10.7261i | −0.731148 | − | 0.352103i | ||||
\(929\) | −28.7468 | + | 26.6732i | −0.943153 | + | 0.875118i | −0.992323 | − | 0.123673i | \(-0.960533\pi\) |
0.0491704 | + | 0.998790i | \(0.484342\pi\) | |||||||
\(930\) | −1.45018 | − | 6.35365i | −0.0475533 | − | 0.208344i | ||||
\(931\) | 2.84203 | + | 8.73510i | 0.0931438 | + | 0.286281i | ||||
\(932\) | 6.63270 | − | 88.5073i | 0.217261 | − | 2.89915i | ||||
\(933\) | 13.6069 | − | 4.19717i | 0.445470 | − | 0.137409i | ||||
\(934\) | 5.75927 | − | 76.8521i | 0.188449 | − | 2.51468i | ||||
\(935\) | −0.925561 | + | 2.35829i | −0.0302691 | + | 0.0771244i | ||||
\(936\) | 0.711105 | + | 3.11555i | 0.0232432 | + | 0.101835i | ||||
\(937\) | −49.9433 | + | 7.52774i | −1.63158 | + | 0.245920i | −0.900016 | − | 0.435857i | \(-0.856445\pi\) |
−0.731560 | + | 0.681777i | \(0.761207\pi\) | |||||||
\(938\) | 38.5582 | − | 39.1549i | 1.25897 | − | 1.27845i | ||||
\(939\) | −15.7407 | + | 27.2637i | −0.513678 | + | 0.889716i | ||||
\(940\) | −28.5665 | −0.931735 | ||||||||
\(941\) | 27.4915 | + | 25.5084i | 0.896196 | + | 0.831549i | 0.986398 | − | 0.164375i | \(-0.0525607\pi\) |
−0.0902016 | + | 0.995924i | \(0.528751\pi\) | |||||||
\(942\) | 69.5068 | + | 10.4765i | 2.26466 | + | 0.341342i | ||||
\(943\) | −4.25714 | − | 2.05013i | −0.138632 | − | 0.0667614i | ||||
\(944\) | −13.2822 | + | 6.39639i | −0.432300 | + | 0.208185i | ||||
\(945\) | 14.1161 | − | 7.59978i | 0.459195 | − | 0.247221i | ||||
\(946\) | −33.2227 | − | 7.01277i | −1.08016 | − | 0.228005i | ||||
\(947\) | 12.9053 | − | 22.3527i | 0.419367 | − | 0.726364i | −0.576509 | − | 0.817091i | \(-0.695586\pi\) |
0.995876 | + | 0.0907264i | \(0.0289189\pi\) | |||||||
\(948\) | 5.12719 | + | 3.49566i | 0.166523 | + | 0.113534i | ||||
\(949\) | −46.4117 | + | 31.6429i | −1.50659 | + | 1.02717i | ||||
\(950\) | −4.24114 | − | 10.8062i | −0.137601 | − | 0.350601i | ||||
\(951\) | 11.2877 | − | 3.48181i | 0.366030 | − | 0.112905i | ||||
\(952\) | 9.73181 | − | 5.23939i | 0.315410 | − | 0.169810i | ||||
\(953\) | 16.0449 | − | 27.7906i | 0.519746 | − | 0.900226i | −0.479991 | − | 0.877273i | \(-0.659360\pi\) |
0.999737 | − | 0.0229524i | \(-0.00730662\pi\) | |||||||
\(954\) | 0.739697 | + | 0.686338i | 0.0239486 | + | 0.0222210i | ||||
\(955\) | 15.3636 | + | 19.2653i | 0.497154 | + | 0.623412i | ||||
\(956\) | 82.4002 | + | 25.4171i | 2.66501 | + | 0.822048i | ||||
\(957\) | 34.1383 | − | 5.14552i | 1.10353 | − | 0.166331i | ||||
\(958\) | 11.0288 | + | 7.51930i | 0.356324 | + | 0.242938i | ||||
\(959\) | −34.1744 | + | 34.7032i | −1.10355 | + | 1.12063i | ||||
\(960\) | −1.56030 | + | 20.8208i | −0.0503585 | + | 0.671987i | ||||
\(961\) | 28.6558 | + | 4.31917i | 0.924381 | + | 0.139328i | ||||
\(962\) | −28.5756 | + | 26.5143i | −0.921314 | + | 0.854855i | ||||
\(963\) | −0.365866 | − | 1.60297i | −0.0117899 | − | 0.0516548i | ||||
\(964\) | −8.13208 | − | 108.515i | −0.261917 | − | 3.49504i | ||||
\(965\) | −0.831137 | − | 0.125274i | −0.0267552 | − | 0.00403270i | ||||
\(966\) | 0.796182 | + | 6.60977i | 0.0256167 | + | 0.212666i | ||||
\(967\) | −18.9784 | − | 9.13951i | −0.610304 | − | 0.293907i | 0.103088 | − | 0.994672i | \(-0.467128\pi\) |
−0.713392 | + | 0.700765i | \(0.752842\pi\) | |||||||
\(968\) | 21.1832 | − | 14.4425i | 0.680853 | − | 0.464198i | ||||
\(969\) | 2.24595 | − | 0.338522i | 0.0721502 | − | 0.0108749i | ||||
\(970\) | 11.6480 | + | 29.6787i | 0.373995 | + | 0.952925i | ||||
\(971\) | −1.65675 | − | 22.1077i | −0.0531675 | − | 0.709471i | −0.958559 | − | 0.284894i | \(-0.908042\pi\) |
0.905392 | − | 0.424577i | \(-0.139577\pi\) | |||||||
\(972\) | 5.75102 | + | 1.77395i | 0.184464 | + | 0.0568996i | ||||
\(973\) | 12.9704 | − | 38.0007i | 0.415812 | − | 1.21825i | ||||
\(974\) | 23.6363 | + | 60.2242i | 0.757355 | + | 1.92971i | ||||
\(975\) | 25.8907 | + | 17.6520i | 0.829165 | + | 0.565315i | ||||
\(976\) | 2.94671 | − | 12.9104i | 0.0943220 | − | 0.413252i | ||||
\(977\) | −0.464951 | + | 6.20434i | −0.0148751 | + | 0.198494i | 0.984815 | + | 0.173606i | \(0.0555420\pi\) |
−0.999690 | + | 0.0248881i | \(0.992077\pi\) | |||||||
\(978\) | 68.4074 | − | 10.3108i | 2.18743 | − | 0.329702i | ||||
\(979\) | 1.32565 | − | 1.23003i | 0.0423681 | − | 0.0393118i | ||||
\(980\) | −17.0003 | − | 24.1303i | −0.543055 | − | 0.770814i | ||||
\(981\) | 0.282425 | − | 1.23738i | 0.00901712 | − | 0.0395066i | ||||
\(982\) | −28.8623 | − | 49.9910i | −0.921034 | − | 1.59528i | ||||
\(983\) | 17.2366 | − | 29.8547i | 0.549764 | − | 0.952218i | −0.448527 | − | 0.893769i | \(-0.648051\pi\) |
0.998290 | − | 0.0584490i | \(-0.0186155\pi\) | |||||||
\(984\) | −38.0456 | − | 35.3012i | −1.21285 | − | 1.12536i | ||||
\(985\) | −1.88176 | − | 4.79464i | −0.0599578 | − | 0.152770i | ||||
\(986\) | −1.72998 | − | 23.0849i | −0.0550937 | − | 0.735174i | ||||
\(987\) | 30.0589 | + | 3.15330i | 0.956786 | + | 0.100371i | ||||
\(988\) | 24.3859 | 0.775820 | ||||||||
\(989\) | −3.24466 | − | 2.50175i | −0.103174 | − | 0.0795510i | ||||
\(990\) | 0.461294 | + | 0.798985i | 0.0146609 | + | 0.0253934i | ||||
\(991\) | −22.1039 | − | 15.0702i | −0.702153 | − | 0.478720i | 0.158861 | − | 0.987301i | \(-0.449218\pi\) |
−0.861014 | + | 0.508581i | \(0.830170\pi\) | |||||||
\(992\) | 3.35267 | + | 1.61456i | 0.106447 | + | 0.0512623i | ||||
\(993\) | 32.8596 | − | 41.2046i | 1.04277 | − | 1.30759i | ||||
\(994\) | 35.2853 | − | 35.8313i | 1.11918 | − | 1.13650i | ||||
\(995\) | −11.0162 | − | 19.0806i | −0.349237 | − | 0.604896i | ||||
\(996\) | −37.8424 | − | 65.5450i | −1.19908 | − | 2.07687i | ||||
\(997\) | −28.6766 | + | 8.84554i | −0.908195 | + | 0.280141i | −0.713445 | − | 0.700712i | \(-0.752866\pi\) |
−0.194751 | + | 0.980853i | \(0.562390\pi\) | |||||||
\(998\) | 16.5634 | + | 20.7698i | 0.524305 | + | 0.657458i | ||||
\(999\) | 3.85329 | + | 16.8824i | 0.121913 | + | 0.534135i |
(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 | 301.2.ba.a.100.4 | yes | 324 | |
7.4 | even | 3 | 301.2.z.a.186.4 | ✓ | 324 | ||
43.40 | even | 21 | 301.2.z.a.212.4 | yes | 324 | ||
301.298 | even | 21 | inner | 301.2.ba.a.298.4 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
301.2.z.a.186.4 | ✓ | 324 | 7.4 | even | 3 | ||
301.2.z.a.212.4 | yes | 324 | 43.40 | even | 21 | ||
301.2.ba.a.100.4 | yes | 324 | 1.1 | even | 1 | trivial | |
301.2.ba.a.298.4 | yes | 324 | 301.298 | even | 21 | inner |