Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,2,Mod(4,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.j (of order \(6\), degree \(2\), 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: | \(0.359326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Root | \(-0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.4 |
Dual form | 45.2.j.a.34.2 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.448288 | + | 0.258819i | −0.316987 | + | 0.183013i | −0.650049 | − | 0.759892i | \(-0.725252\pi\) |
0.333062 | + | 0.942905i | \(0.391918\pi\) | |||||||
\(3\) | 0.448288 | + | 1.67303i | 0.258819 | + | 0.965926i | ||||
\(4\) | −0.866025 | + | 1.50000i | −0.433013 | + | 0.750000i | ||||
\(5\) | −0.358719 | − | 2.20711i | −0.160424 | − | 0.987048i | ||||
\(6\) | −0.633975 | − | 0.633975i | −0.258819 | − | 0.258819i | ||||
\(7\) | 2.89778 | − | 1.67303i | 1.09526 | − | 0.632347i | 0.160286 | − | 0.987071i | \(-0.448758\pi\) |
0.934971 | + | 0.354724i | \(0.115425\pi\) | |||||||
\(8\) | − | 1.93185i | − | 0.683013i | ||||||
\(9\) | −2.59808 | + | 1.50000i | −0.866025 | + | 0.500000i | ||||
\(10\) | 0.732051 | + | 0.896575i | 0.231495 | + | 0.283522i | ||||
\(11\) | −0.633975 | − | 1.09808i | −0.191151 | − | 0.331082i | 0.754481 | − | 0.656322i | \(-0.227889\pi\) |
−0.945632 | + | 0.325239i | \(0.894555\pi\) | |||||||
\(12\) | −2.89778 | − | 0.776457i | −0.836516 | − | 0.224144i | ||||
\(13\) | −2.12132 | − | 1.22474i | −0.588348 | − | 0.339683i | 0.176096 | − | 0.984373i | \(-0.443653\pi\) |
−0.764444 | + | 0.644690i | \(0.776986\pi\) | |||||||
\(14\) | −0.866025 | + | 1.50000i | −0.231455 | + | 0.400892i | ||||
\(15\) | 3.53175 | − | 1.58957i | 0.911894 | − | 0.410425i | ||||
\(16\) | −1.23205 | − | 2.13397i | −0.308013 | − | 0.533494i | ||||
\(17\) | 5.27792i | 1.28008i | 0.768340 | + | 0.640041i | \(0.221083\pi\) | ||||
−0.768340 | + | 0.640041i | \(0.778917\pi\) | |||||||
\(18\) | 0.776457 | − | 1.34486i | 0.183013 | − | 0.316987i | ||||
\(19\) | 0.732051 | 0.167944 | 0.0839720 | − | 0.996468i | \(-0.473239\pi\) | ||||
0.0839720 | + | 0.996468i | \(0.473239\pi\) | |||||||
\(20\) | 3.62132 | + | 1.37333i | 0.809752 | + | 0.307086i | ||||
\(21\) | 4.09808 | + | 4.09808i | 0.894274 | + | 0.894274i | ||||
\(22\) | 0.568406 | + | 0.328169i | 0.121185 | + | 0.0699660i | ||||
\(23\) | 0.448288 | + | 0.258819i | 0.0934745 | + | 0.0539675i | 0.546009 | − | 0.837780i | \(-0.316147\pi\) |
−0.452534 | + | 0.891747i | \(0.649480\pi\) | |||||||
\(24\) | 3.23205 | − | 0.866025i | 0.659740 | − | 0.176777i | ||||
\(25\) | −4.74264 | + | 1.58346i | −0.948528 | + | 0.316693i | ||||
\(26\) | 1.26795 | 0.248665 | ||||||||
\(27\) | −3.67423 | − | 3.67423i | −0.707107 | − | 0.707107i | ||||
\(28\) | 5.79555i | 1.09526i | ||||||||
\(29\) | −0.232051 | − | 0.401924i | −0.0430908 | − | 0.0746354i | 0.843676 | − | 0.536853i | \(-0.180387\pi\) |
−0.886766 | + | 0.462218i | \(0.847054\pi\) | |||||||
\(30\) | −1.17183 | + | 1.62667i | −0.213946 | + | 0.296988i | ||||
\(31\) | −0.366025 | + | 0.633975i | −0.0657401 | + | 0.113865i | −0.897022 | − | 0.441986i | \(-0.854274\pi\) |
0.831282 | + | 0.555851i | \(0.187607\pi\) | |||||||
\(32\) | 4.45069 | + | 2.56961i | 0.786779 | + | 0.454247i | ||||
\(33\) | 1.55291 | − | 1.55291i | 0.270328 | − | 0.270328i | ||||
\(34\) | −1.36603 | − | 2.36603i | −0.234271 | − | 0.405770i | ||||
\(35\) | −4.73205 | − | 5.79555i | −0.799863 | − | 0.979628i | ||||
\(36\) | − | 5.19615i | − | 0.866025i | ||||||
\(37\) | − | 4.24264i | − | 0.697486i | −0.937218 | − | 0.348743i | \(-0.886609\pi\) | ||
0.937218 | − | 0.348743i | \(-0.113391\pi\) | |||||||
\(38\) | −0.328169 | + | 0.189469i | −0.0532361 | + | 0.0307359i | ||||
\(39\) | 1.09808 | − | 4.09808i | 0.175833 | − | 0.656217i | ||||
\(40\) | −4.26380 | + | 0.692993i | −0.674166 | + | 0.109572i | ||||
\(41\) | −3.86603 | + | 6.69615i | −0.603772 | + | 1.04576i | 0.388473 | + | 0.921460i | \(0.373003\pi\) |
−0.992244 | + | 0.124303i | \(0.960331\pi\) | |||||||
\(42\) | −2.89778 | − | 0.776457i | −0.447137 | − | 0.119810i | ||||
\(43\) | 0.568406 | − | 0.328169i | 0.0866811 | − | 0.0500454i | −0.456033 | − | 0.889963i | \(-0.650730\pi\) |
0.542714 | + | 0.839918i | \(0.317397\pi\) | |||||||
\(44\) | 2.19615 | 0.331082 | ||||||||
\(45\) | 4.24264 | + | 5.19615i | 0.632456 | + | 0.774597i | ||||
\(46\) | −0.267949 | −0.0395070 | ||||||||
\(47\) | −2.56961 | + | 1.48356i | −0.374816 | + | 0.216400i | −0.675560 | − | 0.737305i | \(-0.736098\pi\) |
0.300744 | + | 0.953705i | \(0.402765\pi\) | |||||||
\(48\) | 3.01790 | − | 3.01790i | 0.435596 | − | 0.435596i | ||||
\(49\) | 2.09808 | − | 3.63397i | 0.299725 | − | 0.519139i | ||||
\(50\) | 1.71624 | − | 1.93733i | 0.242713 | − | 0.273980i | ||||
\(51\) | −8.83013 | + | 2.36603i | −1.23647 | + | 0.331310i | ||||
\(52\) | 3.67423 | − | 2.12132i | 0.509525 | − | 0.294174i | ||||
\(53\) | 1.03528i | 0.142206i | 0.997469 | + | 0.0711031i | \(0.0226519\pi\) | ||||
−0.997469 | + | 0.0711031i | \(0.977348\pi\) | |||||||
\(54\) | 2.59808 | + | 0.696152i | 0.353553 | + | 0.0947343i | ||||
\(55\) | −2.19615 | + | 1.79315i | −0.296129 | + | 0.241788i | ||||
\(56\) | −3.23205 | − | 5.59808i | −0.431901 | − | 0.748074i | ||||
\(57\) | 0.328169 | + | 1.22474i | 0.0434671 | + | 0.162221i | ||||
\(58\) | 0.208051 | + | 0.120118i | 0.0273184 | + | 0.0157723i | ||||
\(59\) | 4.73205 | − | 8.19615i | 0.616061 | − | 1.06705i | −0.374137 | − | 0.927373i | \(-0.622061\pi\) |
0.990197 | − | 0.139675i | \(-0.0446057\pi\) | |||||||
\(60\) | −0.674235 | + | 6.67423i | −0.0870433 | + | 0.861640i | ||||
\(61\) | 3.33013 | + | 5.76795i | 0.426379 | + | 0.738510i | 0.996548 | − | 0.0830172i | \(-0.0264556\pi\) |
−0.570169 | + | 0.821527i | \(0.693122\pi\) | |||||||
\(62\) | − | 0.378937i | − | 0.0481251i | ||||||
\(63\) | −5.01910 | + | 8.69333i | −0.632347 | + | 1.09526i | ||||
\(64\) | 2.26795 | 0.283494 | ||||||||
\(65\) | −1.94218 | + | 5.12132i | −0.240898 | + | 0.635222i | ||||
\(66\) | −0.294229 | + | 1.09808i | −0.0362170 | + | 0.135164i | ||||
\(67\) | 6.57201 | + | 3.79435i | 0.802899 | + | 0.463554i | 0.844484 | − | 0.535581i | \(-0.179907\pi\) |
−0.0415848 | + | 0.999135i | \(0.513241\pi\) | |||||||
\(68\) | −7.91688 | − | 4.57081i | −0.960062 | − | 0.554292i | ||||
\(69\) | −0.232051 | + | 0.866025i | −0.0279356 | + | 0.104257i | ||||
\(70\) | 3.62132 | + | 1.37333i | 0.432831 | + | 0.164144i | ||||
\(71\) | 14.1962 | 1.68477 | 0.842387 | − | 0.538874i | \(-0.181150\pi\) | ||||
0.842387 | + | 0.538874i | \(0.181150\pi\) | |||||||
\(72\) | 2.89778 | + | 5.01910i | 0.341506 | + | 0.591506i | ||||
\(73\) | − | 8.48528i | − | 0.993127i | −0.868000 | − | 0.496564i | \(-0.834595\pi\) | ||
0.868000 | − | 0.496564i | \(-0.165405\pi\) | |||||||
\(74\) | 1.09808 | + | 1.90192i | 0.127649 | + | 0.221094i | ||||
\(75\) | −4.77526 | − | 7.22474i | −0.551399 | − | 0.834242i | ||||
\(76\) | −0.633975 | + | 1.09808i | −0.0727219 | + | 0.125958i | ||||
\(77\) | −3.67423 | − | 2.12132i | −0.418718 | − | 0.241747i | ||||
\(78\) | 0.568406 | + | 2.12132i | 0.0643593 | + | 0.240192i | ||||
\(79\) | 3.73205 | + | 6.46410i | 0.419889 | + | 0.727268i | 0.995928 | − | 0.0901537i | \(-0.0287358\pi\) |
−0.576039 | + | 0.817422i | \(0.695403\pi\) | |||||||
\(80\) | −4.26795 | + | 3.48477i | −0.477171 | + | 0.389609i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.500000 | − | 0.866025i | ||||
\(82\) | − | 4.00240i | − | 0.441992i | ||||||
\(83\) | 6.90018 | − | 3.98382i | 0.757393 | − | 0.437281i | −0.0709657 | − | 0.997479i | \(-0.522608\pi\) |
0.828359 | + | 0.560198i | \(0.189275\pi\) | |||||||
\(84\) | −9.69615 | + | 2.59808i | −1.05794 | + | 0.283473i | ||||
\(85\) | 11.6489 | − | 1.89329i | 1.26350 | − | 0.205356i | ||||
\(86\) | −0.169873 | + | 0.294229i | −0.0183179 | + | 0.0317275i | ||||
\(87\) | 0.568406 | − | 0.568406i | 0.0609395 | − | 0.0609395i | ||||
\(88\) | −2.12132 | + | 1.22474i | −0.226134 | + | 0.130558i | ||||
\(89\) | −13.3923 | −1.41958 | −0.709791 | − | 0.704413i | \(-0.751211\pi\) | ||||
−0.709791 | + | 0.704413i | \(0.751211\pi\) | |||||||
\(90\) | −3.24679 | − | 1.23130i | −0.342241 | − | 0.129790i | ||||
\(91\) | −8.19615 | −0.859190 | ||||||||
\(92\) | −0.776457 | + | 0.448288i | −0.0809513 | + | 0.0467372i | ||||
\(93\) | −1.22474 | − | 0.328169i | −0.127000 | − | 0.0340296i | ||||
\(94\) | 0.767949 | − | 1.33013i | 0.0792079 | − | 0.137192i | ||||
\(95\) | −0.262601 | − | 1.61571i | −0.0269423 | − | 0.165769i | ||||
\(96\) | −2.30385 | + | 8.59808i | −0.235135 | + | 0.877537i | ||||
\(97\) | −13.1440 | + | 7.58871i | −1.33457 | + | 0.770516i | −0.985997 | − | 0.166764i | \(-0.946668\pi\) |
−0.348577 | + | 0.937280i | \(0.613335\pi\) | |||||||
\(98\) | 2.17209i | 0.219414i | ||||||||
\(99\) | 3.29423 | + | 1.90192i | 0.331082 | + | 0.191151i | ||||
\(100\) | 1.73205 | − | 8.48528i | 0.173205 | − | 0.848528i | ||||
\(101\) | −4.73205 | − | 8.19615i | −0.470857 | − | 0.815548i | 0.528588 | − | 0.848879i | \(-0.322722\pi\) |
−0.999444 | + | 0.0333310i | \(0.989388\pi\) | |||||||
\(102\) | 3.34607 | − | 3.34607i | 0.331310 | − | 0.331310i | ||||
\(103\) | 0.568406 | + | 0.328169i | 0.0560067 | + | 0.0323355i | 0.527742 | − | 0.849405i | \(-0.323039\pi\) |
−0.471735 | + | 0.881740i | \(0.656372\pi\) | |||||||
\(104\) | −2.36603 | + | 4.09808i | −0.232008 | + | 0.401849i | ||||
\(105\) | 7.57483 | − | 10.5150i | 0.739228 | − | 1.02615i | ||||
\(106\) | −0.267949 | − | 0.464102i | −0.0260255 | − | 0.0450775i | ||||
\(107\) | − | 10.3156i | − | 0.997246i | −0.866819 | − | 0.498623i | \(-0.833839\pi\) | ||
0.866819 | − | 0.498623i | \(-0.166161\pi\) | |||||||
\(108\) | 8.69333 | − | 2.32937i | 0.836516 | − | 0.224144i | ||||
\(109\) | −12.6603 | −1.21263 | −0.606316 | − | 0.795224i | \(-0.707353\pi\) | ||||
−0.606316 | + | 0.795224i | \(0.707353\pi\) | |||||||
\(110\) | 0.520407 | − | 1.37225i | 0.0496188 | − | 0.130839i | ||||
\(111\) | 7.09808 | − | 1.90192i | 0.673720 | − | 0.180523i | ||||
\(112\) | −7.14042 | − | 4.12252i | −0.674706 | − | 0.389542i | ||||
\(113\) | 14.9372 | + | 8.62398i | 1.40517 | + | 0.811276i | 0.994917 | − | 0.100695i | \(-0.0321067\pi\) |
0.410254 | + | 0.911971i | \(0.365440\pi\) | |||||||
\(114\) | −0.464102 | − | 0.464102i | −0.0434671 | − | 0.0434671i | ||||
\(115\) | 0.410432 | − | 1.08226i | 0.0382730 | − | 0.100921i | ||||
\(116\) | 0.803848 | 0.0746354 | ||||||||
\(117\) | 7.34847 | 0.679366 | ||||||||
\(118\) | 4.89898i | 0.450988i | ||||||||
\(119\) | 8.83013 | + | 15.2942i | 0.809456 | + | 1.40202i | ||||
\(120\) | −3.07081 | − | 6.82282i | −0.280325 | − | 0.622836i | ||||
\(121\) | 4.69615 | − | 8.13397i | 0.426923 | − | 0.739452i | ||||
\(122\) | −2.98571 | − | 1.72380i | −0.270314 | − | 0.156066i | ||||
\(123\) | −12.9360 | − | 3.46618i | −1.16640 | − | 0.312535i | ||||
\(124\) | −0.633975 | − | 1.09808i | −0.0569326 | − | 0.0986102i | ||||
\(125\) | 5.19615 | + | 9.89949i | 0.464758 | + | 0.885438i | ||||
\(126\) | − | 5.19615i | − | 0.462910i | ||||||
\(127\) | 17.3867i | 1.54282i | 0.636340 | + | 0.771409i | \(0.280447\pi\) | ||||
−0.636340 | + | 0.771409i | \(0.719553\pi\) | |||||||
\(128\) | −9.91808 | + | 5.72620i | −0.876642 | + | 0.506130i | ||||
\(129\) | 0.803848 | + | 0.803848i | 0.0707748 | + | 0.0707748i | ||||
\(130\) | −0.454838 | − | 2.79850i | −0.0398919 | − | 0.245445i | ||||
\(131\) | −6.46410 | + | 11.1962i | −0.564771 | + | 0.978212i | 0.432300 | + | 0.901730i | \(0.357702\pi\) |
−0.997071 | + | 0.0764824i | \(0.975631\pi\) | |||||||
\(132\) | 0.984508 | + | 3.67423i | 0.0856904 | + | 0.319801i | ||||
\(133\) | 2.12132 | − | 1.22474i | 0.183942 | − | 0.106199i | ||||
\(134\) | −3.92820 | −0.339345 | ||||||||
\(135\) | −6.79141 | + | 9.42745i | −0.584511 | + | 0.811386i | ||||
\(136\) | 10.1962 | 0.874313 | ||||||||
\(137\) | 13.6245 | − | 7.86611i | 1.16402 | − | 0.672047i | 0.211755 | − | 0.977323i | \(-0.432082\pi\) |
0.952264 | + | 0.305276i | \(0.0987487\pi\) | |||||||
\(138\) | −0.120118 | − | 0.448288i | −0.0102252 | − | 0.0381608i | ||||
\(139\) | −4.00000 | + | 6.92820i | −0.339276 | + | 0.587643i | −0.984297 | − | 0.176522i | \(-0.943515\pi\) |
0.645021 | + | 0.764165i | \(0.276849\pi\) | |||||||
\(140\) | 12.7914 | − | 2.07898i | 1.08107 | − | 0.175706i | ||||
\(141\) | −3.63397 | − | 3.63397i | −0.306036 | − | 0.306036i | ||||
\(142\) | −6.36396 | + | 3.67423i | −0.534052 | + | 0.308335i | ||||
\(143\) | 3.10583i | 0.259722i | ||||||||
\(144\) | 6.40192 | + | 3.69615i | 0.533494 | + | 0.308013i | ||||
\(145\) | −0.803848 | + | 0.656339i | −0.0667559 | + | 0.0545060i | ||||
\(146\) | 2.19615 | + | 3.80385i | 0.181755 | + | 0.314809i | ||||
\(147\) | 7.02030 | + | 1.88108i | 0.579025 | + | 0.155149i | ||||
\(148\) | 6.36396 | + | 3.67423i | 0.523114 | + | 0.302020i | ||||
\(149\) | 2.13397 | − | 3.69615i | 0.174822 | − | 0.302801i | −0.765278 | − | 0.643700i | \(-0.777398\pi\) |
0.940100 | + | 0.340900i | \(0.110732\pi\) | |||||||
\(150\) | 4.01059 | + | 2.00284i | 0.327463 | + | 0.163531i | ||||
\(151\) | −4.29423 | − | 7.43782i | −0.349459 | − | 0.605281i | 0.636694 | − | 0.771116i | \(-0.280301\pi\) |
−0.986154 | + | 0.165835i | \(0.946968\pi\) | |||||||
\(152\) | − | 1.41421i | − | 0.114708i | ||||||
\(153\) | −7.91688 | − | 13.7124i | −0.640041 | − | 1.10858i | ||||
\(154\) | 2.19615 | 0.176971 | ||||||||
\(155\) | 1.53055 | + | 0.580438i | 0.122937 | + | 0.0466219i | ||||
\(156\) | 5.19615 | + | 5.19615i | 0.416025 | + | 0.416025i | ||||
\(157\) | −11.1750 | − | 6.45189i | −0.891863 | − | 0.514917i | −0.0173114 | − | 0.999850i | \(-0.505511\pi\) |
−0.874551 | + | 0.484933i | \(0.838844\pi\) | |||||||
\(158\) | −3.34607 | − | 1.93185i | −0.266199 | − | 0.153690i | ||||
\(159\) | −1.73205 | + | 0.464102i | −0.137361 | + | 0.0368057i | ||||
\(160\) | 4.07485 | − | 10.7449i | 0.322145 | − | 0.849461i | ||||
\(161\) | 1.73205 | 0.136505 | ||||||||
\(162\) | 4.65874i | 0.366025i | ||||||||
\(163\) | − | 10.4543i | − | 0.818844i | −0.912345 | − | 0.409422i | \(-0.865730\pi\) | ||
0.912345 | − | 0.409422i | \(-0.134270\pi\) | |||||||
\(164\) | −6.69615 | − | 11.5981i | −0.522882 | − | 0.905658i | ||||
\(165\) | −3.98451 | − | 2.87039i | −0.310194 | − | 0.223459i | ||||
\(166\) | −2.06218 | + | 3.57180i | −0.160056 | + | 0.277225i | ||||
\(167\) | −8.60540 | − | 4.96833i | −0.665906 | − | 0.384461i | 0.128618 | − | 0.991694i | \(-0.458946\pi\) |
−0.794524 | + | 0.607233i | \(0.792279\pi\) | |||||||
\(168\) | 7.91688 | − | 7.91688i | 0.610800 | − | 0.610800i | ||||
\(169\) | −3.50000 | − | 6.06218i | −0.269231 | − | 0.466321i | ||||
\(170\) | −4.73205 | + | 3.86370i | −0.362932 | + | 0.296333i | ||||
\(171\) | −1.90192 | + | 1.09808i | −0.145444 | + | 0.0839720i | ||||
\(172\) | 1.13681i | 0.0866811i | ||||||||
\(173\) | −9.14162 | + | 5.27792i | −0.695025 | + | 0.401273i | −0.805492 | − | 0.592607i | \(-0.798099\pi\) |
0.110467 | + | 0.993880i | \(0.464765\pi\) | |||||||
\(174\) | −0.107695 | + | 0.401924i | −0.00816435 | + | 0.0304698i | ||||
\(175\) | −11.0939 | + | 12.5231i | −0.838622 | + | 0.946659i | ||||
\(176\) | −1.56218 | + | 2.70577i | −0.117754 | + | 0.203955i | ||||
\(177\) | 15.8338 | + | 4.24264i | 1.19014 | + | 0.318896i | ||||
\(178\) | 6.00361 | − | 3.46618i | 0.449989 | − | 0.259801i | ||||
\(179\) | 6.58846 | 0.492444 | 0.246222 | − | 0.969213i | \(-0.420811\pi\) | ||||
0.246222 | + | 0.969213i | \(0.420811\pi\) | |||||||
\(180\) | −11.4685 | + | 1.86396i | −0.854809 | + | 0.138931i | ||||
\(181\) | 1.53590 | 0.114162 | 0.0570812 | − | 0.998370i | \(-0.481821\pi\) | ||||
0.0570812 | + | 0.998370i | \(0.481821\pi\) | |||||||
\(182\) | 3.67423 | − | 2.12132i | 0.272352 | − | 0.157243i | ||||
\(183\) | −8.15711 | + | 8.15711i | −0.602991 | + | 0.602991i | ||||
\(184\) | 0.500000 | − | 0.866025i | 0.0368605 | − | 0.0638442i | ||||
\(185\) | −9.36396 | + | 1.52192i | −0.688452 | + | 0.111894i | ||||
\(186\) | 0.633975 | − | 0.169873i | 0.0464853 | − | 0.0124557i | ||||
\(187\) | 5.79555 | − | 3.34607i | 0.423813 | − | 0.244689i | ||||
\(188\) | − | 5.13922i | − | 0.374816i | ||||||
\(189\) | −16.7942 | − | 4.50000i | −1.22160 | − | 0.327327i | ||||
\(190\) | 0.535898 | + | 0.656339i | 0.0388782 | + | 0.0476158i | ||||
\(191\) | −8.83013 | − | 15.2942i | −0.638926 | − | 1.10665i | −0.985669 | − | 0.168691i | \(-0.946046\pi\) |
0.346743 | − | 0.937960i | \(-0.387287\pi\) | |||||||
\(192\) | 1.01669 | + | 3.79435i | 0.0733736 | + | 0.273834i | ||||
\(193\) | 3.25813 | + | 1.88108i | 0.234526 | + | 0.135403i | 0.612658 | − | 0.790348i | \(-0.290100\pi\) |
−0.378133 | + | 0.925751i | \(0.623434\pi\) | |||||||
\(194\) | 3.92820 | − | 6.80385i | 0.282029 | − | 0.488488i | ||||
\(195\) | −9.43879 | − | 0.953512i | −0.675926 | − | 0.0682824i | ||||
\(196\) | 3.63397 | + | 6.29423i | 0.259570 | + | 0.449588i | ||||
\(197\) | − | 15.9353i | − | 1.13534i | −0.823255 | − | 0.567671i | \(-0.807845\pi\) | ||
0.823255 | − | 0.567671i | \(-0.192155\pi\) | |||||||
\(198\) | −1.96902 | −0.139932 | ||||||||
\(199\) | 26.5885 | 1.88481 | 0.942403 | − | 0.334480i | \(-0.108561\pi\) | ||||
0.942403 | + | 0.334480i | \(0.108561\pi\) | |||||||
\(200\) | 3.05902 | + | 9.16208i | 0.216305 | + | 0.647857i | ||||
\(201\) | −3.40192 | + | 12.6962i | −0.239953 | + | 0.895518i | ||||
\(202\) | 4.24264 | + | 2.44949i | 0.298511 | + | 0.172345i | ||||
\(203\) | −1.34486 | − | 0.776457i | −0.0943909 | − | 0.0544966i | ||||
\(204\) | 4.09808 | − | 15.2942i | 0.286923 | − | 1.07081i | ||||
\(205\) | 16.1659 | + | 6.13069i | 1.12908 | + | 0.428186i | ||||
\(206\) | −0.339746 | −0.0236712 | ||||||||
\(207\) | −1.55291 | −0.107935 | ||||||||
\(208\) | 6.03579i | 0.418507i | ||||||||
\(209\) | −0.464102 | − | 0.803848i | −0.0321026 | − | 0.0556033i | ||||
\(210\) | −0.674235 | + | 6.67423i | −0.0465266 | + | 0.460566i | ||||
\(211\) | −5.56218 | + | 9.63397i | −0.382916 | + | 0.663230i | −0.991478 | − | 0.130276i | \(-0.958414\pi\) |
0.608562 | + | 0.793507i | \(0.291747\pi\) | |||||||
\(212\) | −1.55291 | − | 0.896575i | −0.106655 | − | 0.0615771i | ||||
\(213\) | 6.36396 | + | 23.7506i | 0.436051 | + | 1.62737i | ||||
\(214\) | 2.66987 | + | 4.62436i | 0.182509 | + | 0.316114i | ||||
\(215\) | −0.928203 | − | 1.13681i | −0.0633029 | − | 0.0775299i | ||||
\(216\) | −7.09808 | + | 7.09808i | −0.482963 | + | 0.482963i | ||||
\(217\) | 2.44949i | 0.166282i | ||||||||
\(218\) | 5.67544 | − | 3.27671i | 0.384389 | − | 0.221927i | ||||
\(219\) | 14.1962 | − | 3.80385i | 0.959287 | − | 0.257040i | ||||
\(220\) | −0.787803 | − | 4.84714i | −0.0531136 | − | 0.326794i | ||||
\(221\) | 6.46410 | − | 11.1962i | 0.434823 | − | 0.753135i | ||||
\(222\) | −2.68973 | + | 2.68973i | −0.180523 | + | 0.180523i | ||||
\(223\) | 3.88229 | − | 2.24144i | 0.259977 | − | 0.150098i | −0.364347 | − | 0.931263i | \(-0.618708\pi\) |
0.624324 | + | 0.781165i | \(0.285374\pi\) | |||||||
\(224\) | 17.1962 | 1.14897 | ||||||||
\(225\) | 9.94655 | − | 11.2279i | 0.663103 | − | 0.748528i | ||||
\(226\) | −8.92820 | −0.593895 | ||||||||
\(227\) | −22.8541 | + | 13.1948i | −1.51688 | + | 0.875769i | −0.517073 | + | 0.855941i | \(0.672979\pi\) |
−0.999803 | + | 0.0198279i | \(0.993688\pi\) | |||||||
\(228\) | −2.12132 | − | 0.568406i | −0.140488 | − | 0.0376436i | ||||
\(229\) | 3.03590 | − | 5.25833i | 0.200618 | − | 0.347480i | −0.748110 | − | 0.663575i | \(-0.769038\pi\) |
0.948728 | + | 0.316095i | \(0.102372\pi\) | |||||||
\(230\) | 0.0961186 | + | 0.591392i | 0.00633787 | + | 0.0389953i | ||||
\(231\) | 1.90192 | − | 7.09808i | 0.125137 | − | 0.467019i | ||||
\(232\) | −0.776457 | + | 0.448288i | −0.0509769 | + | 0.0294315i | ||||
\(233\) | 7.07107i | 0.463241i | 0.972806 | + | 0.231621i | \(0.0744028\pi\) | ||||
−0.972806 | + | 0.231621i | \(0.925597\pi\) | |||||||
\(234\) | −3.29423 | + | 1.90192i | −0.215350 | + | 0.124333i | ||||
\(235\) | 4.19615 | + | 5.13922i | 0.273727 | + | 0.335245i | ||||
\(236\) | 8.19615 | + | 14.1962i | 0.533524 | + | 0.924091i | ||||
\(237\) | −9.14162 | + | 9.14162i | −0.593812 | + | 0.593812i | ||||
\(238\) | −7.91688 | − | 4.57081i | −0.513175 | − | 0.296282i | ||||
\(239\) | −0.464102 | + | 0.803848i | −0.0300202 | + | 0.0519966i | −0.880645 | − | 0.473776i | \(-0.842891\pi\) |
0.850625 | + | 0.525773i | \(0.176224\pi\) | |||||||
\(240\) | −7.74340 | − | 5.57824i | −0.499834 | − | 0.360074i | ||||
\(241\) | −4.86603 | − | 8.42820i | −0.313448 | − | 0.542908i | 0.665658 | − | 0.746257i | \(-0.268151\pi\) |
−0.979106 | + | 0.203348i | \(0.934818\pi\) | |||||||
\(242\) | 4.86181i | 0.312529i | ||||||||
\(243\) | 15.0573 | + | 4.03459i | 0.965926 | + | 0.258819i | ||||
\(244\) | −11.5359 | −0.738510 | ||||||||
\(245\) | −8.77319 | − | 3.32710i | −0.560499 | − | 0.212561i | ||||
\(246\) | 6.69615 | − | 1.79423i | 0.426931 | − | 0.114396i | ||||
\(247\) | −1.55291 | − | 0.896575i | −0.0988096 | − | 0.0570477i | ||||
\(248\) | 1.22474 | + | 0.707107i | 0.0777714 | + | 0.0449013i | ||||
\(249\) | 9.75833 | + | 9.75833i | 0.618409 | + | 0.618409i | ||||
\(250\) | −4.89155 | − | 3.09296i | −0.309369 | − | 0.195616i | ||||
\(251\) | −12.5885 | −0.794576 | −0.397288 | − | 0.917694i | \(-0.630049\pi\) | ||||
−0.397288 | + | 0.917694i | \(0.630049\pi\) | |||||||
\(252\) | −8.69333 | − | 15.0573i | −0.547628 | − | 0.948520i | ||||
\(253\) | − | 0.656339i | − | 0.0412637i | ||||||
\(254\) | −4.50000 | − | 7.79423i | −0.282355 | − | 0.489053i | ||||
\(255\) | 8.38961 | + | 18.6403i | 0.525378 | + | 1.16730i | ||||
\(256\) | 0.696152 | − | 1.20577i | 0.0435095 | − | 0.0753607i | ||||
\(257\) | 14.5211 | + | 8.38375i | 0.905800 | + | 0.522964i | 0.879077 | − | 0.476679i | \(-0.158160\pi\) |
0.0267223 | + | 0.999643i | \(0.491493\pi\) | |||||||
\(258\) | −0.568406 | − | 0.152304i | −0.0353874 | − | 0.00948203i | ||||
\(259\) | −7.09808 | − | 12.2942i | −0.441053 | − | 0.763926i | ||||
\(260\) | −6.00000 | − | 7.34847i | −0.372104 | − | 0.455733i | ||||
\(261\) | 1.20577 | + | 0.696152i | 0.0746354 | + | 0.0430908i | ||||
\(262\) | − | 6.69213i | − | 0.413441i | ||||||
\(263\) | 18.8516 | − | 10.8840i | 1.16244 | − | 0.671136i | 0.210554 | − | 0.977582i | \(-0.432473\pi\) |
0.951888 | + | 0.306446i | \(0.0991398\pi\) | |||||||
\(264\) | −3.00000 | − | 3.00000i | −0.184637 | − | 0.184637i | ||||
\(265\) | 2.28497 | − | 0.371374i | 0.140364 | − | 0.0228133i | ||||
\(266\) | −0.633975 | + | 1.09808i | −0.0388715 | + | 0.0673274i | ||||
\(267\) | −6.00361 | − | 22.4058i | −0.367415 | − | 1.37121i | ||||
\(268\) | −11.3831 | + | 6.57201i | −0.695331 | + | 0.401450i | ||||
\(269\) | −6.80385 | −0.414838 | −0.207419 | − | 0.978252i | \(-0.566506\pi\) | ||||
−0.207419 | + | 0.978252i | \(0.566506\pi\) | |||||||
\(270\) | 0.604502 | − | 5.98396i | 0.0367888 | − | 0.364172i | ||||
\(271\) | 21.5167 | 1.30704 | 0.653522 | − | 0.756908i | \(-0.273291\pi\) | ||||
0.653522 | + | 0.756908i | \(0.273291\pi\) | |||||||
\(272\) | 11.2629 | − | 6.50266i | 0.682916 | − | 0.394282i | ||||
\(273\) | −3.67423 | − | 13.7124i | −0.222375 | − | 0.829914i | ||||
\(274\) | −4.07180 | + | 7.05256i | −0.245986 | + | 0.426061i | ||||
\(275\) | 4.74548 | + | 4.20390i | 0.286163 | + | 0.253505i | ||||
\(276\) | −1.09808 | − | 1.09808i | −0.0660964 | − | 0.0660964i | ||||
\(277\) | 10.6066 | − | 6.12372i | 0.637289 | − | 0.367939i | −0.146281 | − | 0.989243i | \(-0.546730\pi\) |
0.783569 | + | 0.621304i | \(0.213397\pi\) | |||||||
\(278\) | − | 4.14110i | − | 0.248367i | ||||||
\(279\) | − | 2.19615i | − | 0.131480i | ||||||
\(280\) | −11.1962 | + | 9.14162i | −0.669098 | + | 0.546316i | ||||
\(281\) | 9.86603 | + | 17.0885i | 0.588558 | + | 1.01941i | 0.994422 | + | 0.105478i | \(0.0336374\pi\) |
−0.405864 | + | 0.913934i | \(0.633029\pi\) | |||||||
\(282\) | 2.56961 | + | 0.688524i | 0.153018 | + | 0.0410010i | ||||
\(283\) | −14.4889 | − | 8.36516i | −0.861275 | − | 0.497257i | 0.00316407 | − | 0.999995i | \(-0.498993\pi\) |
−0.864439 | + | 0.502738i | \(0.832326\pi\) | |||||||
\(284\) | −12.2942 | + | 21.2942i | −0.729528 | + | 1.26358i | ||||
\(285\) | 2.58542 | − | 1.16364i | 0.153147 | − | 0.0689284i | ||||
\(286\) | −0.803848 | − | 1.39230i | −0.0475325 | − | 0.0823287i | ||||
\(287\) | 25.8719i | 1.52717i | ||||||||
\(288\) | −15.4176 | −0.908494 | ||||||||
\(289\) | −10.8564 | −0.638612 | ||||||||
\(290\) | 0.190482 | − | 0.502280i | 0.0111855 | − | 0.0294949i | ||||
\(291\) | −18.5885 | − | 18.5885i | −1.08967 | − | 1.08967i | ||||
\(292\) | 12.7279 | + | 7.34847i | 0.744845 | + | 0.430037i | ||||
\(293\) | −11.9193 | − | 6.88160i | −0.696332 | − | 0.402027i | 0.109648 | − | 0.993970i | \(-0.465028\pi\) |
−0.805980 | + | 0.591943i | \(0.798361\pi\) | |||||||
\(294\) | −3.63397 | + | 0.973721i | −0.211938 | + | 0.0567885i | ||||
\(295\) | −19.7873 | − | 7.50402i | −1.15206 | − | 0.436901i | ||||
\(296\) | −8.19615 | −0.476392 | ||||||||
\(297\) | −1.70522 | + | 6.36396i | −0.0989468 | + | 0.369274i | ||||
\(298\) | 2.20925i | 0.127979i | ||||||||
\(299\) | −0.633975 | − | 1.09808i | −0.0366637 | − | 0.0635034i | ||||
\(300\) | 14.9726 | − | 0.906070i | 0.864444 | − | 0.0523120i | ||||
\(301\) | 1.09808 | − | 1.90192i | 0.0632921 | − | 0.109625i | ||||
\(302\) | 3.85010 | + | 2.22286i | 0.221548 | + | 0.127911i | ||||
\(303\) | 11.5911 | − | 11.5911i | 0.665892 | − | 0.665892i | ||||
\(304\) | −0.901924 | − | 1.56218i | −0.0517289 | − | 0.0895970i | ||||
\(305\) | 11.5359 | − | 9.41902i | 0.660544 | − | 0.539332i | ||||
\(306\) | 7.09808 | + | 4.09808i | 0.405770 | + | 0.234271i | ||||
\(307\) | − | 3.82654i | − | 0.218392i | −0.994020 | − | 0.109196i | \(-0.965172\pi\) | ||
0.994020 | − | 0.109196i | \(-0.0348276\pi\) | |||||||
\(308\) | 6.36396 | − | 3.67423i | 0.362620 | − | 0.209359i | ||||
\(309\) | −0.294229 | + | 1.09808i | −0.0167381 | + | 0.0624674i | ||||
\(310\) | −0.836355 | + | 0.135932i | −0.0475018 | + | 0.00772043i | ||||
\(311\) | 5.02628 | − | 8.70577i | 0.285014 | − | 0.493659i | −0.687598 | − | 0.726091i | \(-0.741335\pi\) |
0.972613 | + | 0.232432i | \(0.0746684\pi\) | |||||||
\(312\) | −7.91688 | − | 2.12132i | −0.448205 | − | 0.120096i | ||||
\(313\) | −12.1595 | + | 7.02030i | −0.687296 | + | 0.396811i | −0.802598 | − | 0.596520i | \(-0.796550\pi\) |
0.115302 | + | 0.993330i | \(0.463216\pi\) | |||||||
\(314\) | 6.67949 | 0.376946 | ||||||||
\(315\) | 20.9876 | + | 7.95922i | 1.18252 | + | 0.448451i | ||||
\(316\) | −12.9282 | −0.727268 | ||||||||
\(317\) | −3.49837 | + | 2.01978i | −0.196488 | + | 0.113442i | −0.595016 | − | 0.803714i | \(-0.702854\pi\) |
0.398528 | + | 0.917156i | \(0.369521\pi\) | |||||||
\(318\) | 0.656339 | − | 0.656339i | 0.0368057 | − | 0.0368057i | ||||
\(319\) | −0.294229 | + | 0.509619i | −0.0164736 | + | 0.0285332i | ||||
\(320\) | −0.813558 | − | 5.00561i | −0.0454792 | − | 0.279822i | ||||
\(321\) | 17.2583 | − | 4.62436i | 0.963266 | − | 0.258106i | ||||
\(322\) | −0.776457 | + | 0.448288i | −0.0432703 | + | 0.0249821i | ||||
\(323\) | 3.86370i | 0.214982i | ||||||||
\(324\) | 7.79423 | + | 13.5000i | 0.433013 | + | 0.750000i | ||||
\(325\) | 12.0000 | + | 2.44949i | 0.665640 | + | 0.135873i | ||||
\(326\) | 2.70577 | + | 4.68653i | 0.149859 | + | 0.259563i | ||||
\(327\) | −5.67544 | − | 21.1810i | −0.313852 | − | 1.17131i | ||||
\(328\) | 12.9360 | + | 7.46859i | 0.714270 | + | 0.412384i | ||||
\(329\) | −4.96410 | + | 8.59808i | −0.273680 | + | 0.474027i | ||||
\(330\) | 2.52912 | + | 0.255493i | 0.139223 | + | 0.0140644i | ||||
\(331\) | 4.19615 | + | 7.26795i | 0.230641 | + | 0.399483i | 0.957997 | − | 0.286778i | \(-0.0925842\pi\) |
−0.727356 | + | 0.686261i | \(0.759251\pi\) | |||||||
\(332\) | 13.8004i | 0.757393i | ||||||||
\(333\) | 6.36396 | + | 11.0227i | 0.348743 | + | 0.604040i | ||||
\(334\) | 5.14359 | 0.281445 | ||||||||
\(335\) | 6.01703 | − | 15.8662i | 0.328746 | − | 0.866865i | ||||
\(336\) | 3.69615 | − | 13.7942i | 0.201642 | − | 0.752537i | ||||
\(337\) | −5.79555 | − | 3.34607i | −0.315704 | − | 0.182272i | 0.333772 | − | 0.942654i | \(-0.391678\pi\) |
−0.649476 | + | 0.760382i | \(0.725012\pi\) | |||||||
\(338\) | 3.13801 | + | 1.81173i | 0.170685 | + | 0.0985453i | ||||
\(339\) | −7.73205 | + | 28.8564i | −0.419947 | + | 1.56726i | ||||
\(340\) | −7.24833 | + | 19.1130i | −0.393096 | + | 1.03655i | ||||
\(341\) | 0.928203 | 0.0502650 | ||||||||
\(342\) | 0.568406 | − | 0.984508i | 0.0307359 | − | 0.0532361i | ||||
\(343\) | 9.38186i | 0.506573i | ||||||||
\(344\) | −0.633975 | − | 1.09808i | −0.0341816 | − | 0.0592043i | ||||
\(345\) | 1.99465 | + | 0.201501i | 0.107388 | + | 0.0108484i | ||||
\(346\) | 2.73205 | − | 4.73205i | 0.146876 | − | 0.254397i | ||||
\(347\) | 8.57321 | + | 4.94975i | 0.460234 | + | 0.265716i | 0.712143 | − | 0.702035i | \(-0.247725\pi\) |
−0.251909 | + | 0.967751i | \(0.581058\pi\) | |||||||
\(348\) | 0.360355 | + | 1.34486i | 0.0193171 | + | 0.0720922i | ||||
\(349\) | 14.2321 | + | 24.6506i | 0.761824 | + | 1.31952i | 0.941909 | + | 0.335867i | \(0.109029\pi\) |
−0.180085 | + | 0.983651i | \(0.557637\pi\) | |||||||
\(350\) | 1.73205 | − | 8.48528i | 0.0925820 | − | 0.453557i | ||||
\(351\) | 3.29423 | + | 12.2942i | 0.175833 | + | 0.656217i | ||||
\(352\) | − | 6.51626i | − | 0.347318i | ||||||
\(353\) | −17.6269 | + | 10.1769i | −0.938185 | + | 0.541662i | −0.889391 | − | 0.457147i | \(-0.848871\pi\) |
−0.0487943 | + | 0.998809i | \(0.515538\pi\) | |||||||
\(354\) | −8.19615 | + | 2.19615i | −0.435621 | + | 0.116724i | ||||
\(355\) | −5.09244 | − | 31.3324i | −0.270278 | − | 1.66295i | ||||
\(356\) | 11.5981 | − | 20.0885i | 0.614697 | − | 1.06469i | ||||
\(357\) | −21.6293 | + | 21.6293i | −1.14474 | + | 1.14474i | ||||
\(358\) | −2.95352 | + | 1.70522i | −0.156099 | + | 0.0901236i | ||||
\(359\) | −20.1962 | −1.06591 | −0.532956 | − | 0.846143i | \(-0.678919\pi\) | ||||
−0.532956 | + | 0.846143i | \(0.678919\pi\) | |||||||
\(360\) | 10.0382 | − | 8.19615i | 0.529059 | − | 0.431975i | ||||
\(361\) | −18.4641 | −0.971795 | ||||||||
\(362\) | −0.688524 | + | 0.397520i | −0.0361880 | + | 0.0208932i | ||||
\(363\) | 15.7136 | + | 4.21046i | 0.824752 | + | 0.220992i | ||||
\(364\) | 7.09808 | − | 12.2942i | 0.372040 | − | 0.644393i | ||||
\(365\) | −18.7279 | + | 3.04384i | −0.980264 | + | 0.159322i | ||||
\(366\) | 1.54552 | − | 5.76795i | 0.0807855 | − | 0.301496i | ||||
\(367\) | 29.9623 | − | 17.2987i | 1.56402 | − | 0.902986i | 0.567175 | − | 0.823597i | \(-0.308036\pi\) |
0.996844 | − | 0.0793890i | \(-0.0252969\pi\) | |||||||
\(368\) | − | 1.27551i | − | 0.0664907i | ||||||
\(369\) | − | 23.1962i | − | 1.20754i | ||||||
\(370\) | 3.80385 | − | 3.10583i | 0.197753 | − | 0.161464i | ||||
\(371\) | 1.73205 | + | 3.00000i | 0.0899236 | + | 0.155752i | ||||
\(372\) | 1.55291 | − | 1.55291i | 0.0805149 | − | 0.0805149i | ||||
\(373\) | 23.5983 | + | 13.6245i | 1.22187 | + | 0.705450i | 0.965317 | − | 0.261079i | \(-0.0840784\pi\) |
0.256557 | + | 0.966529i | \(0.417412\pi\) | |||||||
\(374\) | −1.73205 | + | 3.00000i | −0.0895622 | + | 0.155126i | ||||
\(375\) | −14.2328 | + | 13.1312i | −0.734979 | + | 0.678090i | ||||
\(376\) | 2.86603 | + | 4.96410i | 0.147804 | + | 0.256004i | ||||
\(377\) | 1.13681i | 0.0585488i | ||||||||
\(378\) | 8.69333 | − | 2.32937i | 0.447137 | − | 0.119810i | ||||
\(379\) | −19.4641 | −0.999804 | −0.499902 | − | 0.866082i | \(-0.666631\pi\) | ||||
−0.499902 | + | 0.866082i | \(0.666631\pi\) | |||||||
\(380\) | 2.65099 | + | 1.00535i | 0.135993 | + | 0.0515733i | ||||
\(381\) | −29.0885 | + | 7.79423i | −1.49025 | + | 0.399310i | ||||
\(382\) | 7.91688 | + | 4.57081i | 0.405063 | + | 0.233863i | ||||
\(383\) | −9.22955 | − | 5.32868i | −0.471608 | − | 0.272283i | 0.245305 | − | 0.969446i | \(-0.421112\pi\) |
−0.716913 | + | 0.697163i | \(0.754445\pi\) | |||||||
\(384\) | −14.0263 | − | 14.0263i | −0.715776 | − | 0.715776i | ||||
\(385\) | −3.36396 | + | 8.87039i | −0.171443 | + | 0.452077i | ||||
\(386\) | −1.94744 | −0.0991221 | ||||||||
\(387\) | −0.984508 | + | 1.70522i | −0.0500454 | + | 0.0866811i | ||||
\(388\) | − | 26.2880i | − | 1.33457i | ||||||
\(389\) | 0.0621778 | + | 0.107695i | 0.00315254 | + | 0.00546036i | 0.867597 | − | 0.497267i | \(-0.165663\pi\) |
−0.864445 | + | 0.502728i | \(0.832330\pi\) | |||||||
\(390\) | 4.47808 | − | 2.01549i | 0.226757 | − | 0.102058i | ||||
\(391\) | −1.36603 | + | 2.36603i | −0.0690829 | + | 0.119655i | ||||
\(392\) | −7.02030 | − | 4.05317i | −0.354579 | − | 0.204716i | ||||
\(393\) | −21.6293 | − | 5.79555i | −1.09105 | − | 0.292347i | ||||
\(394\) | 4.12436 | + | 7.14359i | 0.207782 | + | 0.359889i | ||||
\(395\) | 12.9282 | − | 10.5558i | 0.650488 | − | 0.531122i | ||||
\(396\) | −5.70577 | + | 3.29423i | −0.286726 | + | 0.165541i | ||||
\(397\) | − | 29.3939i | − | 1.47524i | −0.675218 | − | 0.737618i | \(-0.735950\pi\) | ||
0.675218 | − | 0.737618i | \(-0.264050\pi\) | |||||||
\(398\) | −11.9193 | + | 6.88160i | −0.597459 | + | 0.344943i | ||||
\(399\) | 3.00000 | + | 3.00000i | 0.150188 | + | 0.150188i | ||||
\(400\) | 9.22225 | + | 8.16977i | 0.461112 | + | 0.408488i | ||||
\(401\) | 8.53590 | − | 14.7846i | 0.426262 | − | 0.738308i | −0.570275 | − | 0.821454i | \(-0.693163\pi\) |
0.996537 | + | 0.0831457i | \(0.0264967\pi\) | |||||||
\(402\) | −1.76097 | − | 6.57201i | −0.0878290 | − | 0.327782i | ||||
\(403\) | 1.55291 | − | 0.896575i | 0.0773562 | − | 0.0446616i | ||||
\(404\) | 16.3923 | 0.815548 | ||||||||
\(405\) | −18.8169 | − | 7.13604i | −0.935021 | − | 0.354593i | ||||
\(406\) | 0.803848 | 0.0398943 | ||||||||
\(407\) | −4.65874 | + | 2.68973i | −0.230925 | + | 0.133325i | ||||
\(408\) | 4.57081 | + | 17.0585i | 0.226289 | + | 0.844521i | ||||
\(409\) | −8.26795 | + | 14.3205i | −0.408824 | + | 0.708104i | −0.994758 | − | 0.102255i | \(-0.967394\pi\) |
0.585934 | + | 0.810358i | \(0.300728\pi\) | |||||||
\(410\) | −8.83373 | + | 1.43574i | −0.436267 | + | 0.0709062i | ||||
\(411\) | 19.2679 | + | 19.2679i | 0.950418 | + | 0.950418i | ||||
\(412\) | −0.984508 | + | 0.568406i | −0.0485032 | + | 0.0280034i | ||||
\(413\) | − | 31.6675i | − | 1.55826i | ||||||
\(414\) | 0.696152 | − | 0.401924i | 0.0342140 | − | 0.0197535i | ||||
\(415\) | −11.2679 | − | 13.8004i | −0.553122 | − | 0.677433i | ||||
\(416\) | −6.29423 | − | 10.9019i | −0.308600 | − | 0.534511i | ||||
\(417\) | −13.3843 | − | 3.58630i | −0.655430 | − | 0.175622i | ||||
\(418\) | 0.416102 | + | 0.240237i | 0.0203522 | + | 0.0117504i | ||||
\(419\) | 11.0263 | − | 19.0981i | 0.538669 | − | 0.933002i | −0.460307 | − | 0.887760i | \(-0.652261\pi\) |
0.998976 | − | 0.0452423i | \(-0.0144060\pi\) | |||||||
\(420\) | 9.21243 | + | 20.4685i | 0.449521 | + | 0.998759i | ||||
\(421\) | 9.73205 | + | 16.8564i | 0.474311 | + | 0.821531i | 0.999567 | − | 0.0294132i | \(-0.00936385\pi\) |
−0.525256 | + | 0.850944i | \(0.676031\pi\) | |||||||
\(422\) | − | 5.75839i | − | 0.280314i | ||||||
\(423\) | 4.45069 | − | 7.70882i | 0.216400 | − | 0.374816i | ||||
\(424\) | 2.00000 | 0.0971286 | ||||||||
\(425\) | −8.35739 | − | 25.0313i | −0.405393 | − | 1.21419i | ||||
\(426\) | −9.00000 | − | 9.00000i | −0.436051 | − | 0.436051i | ||||
\(427\) | 19.2999 | + | 11.1428i | 0.933989 | + | 0.539239i | ||||
\(428\) | 15.4734 | + | 8.93357i | 0.747935 | + | 0.431820i | ||||
\(429\) | −5.19615 | + | 1.39230i | −0.250873 | + | 0.0672211i | ||||
\(430\) | 0.710331 | + | 0.269382i | 0.0342552 | + | 0.0129908i | ||||
\(431\) | −6.00000 | −0.289010 | −0.144505 | − | 0.989504i | \(-0.546159\pi\) | ||||
−0.144505 | + | 0.989504i | \(0.546159\pi\) | |||||||
\(432\) | −3.31388 | + | 12.3676i | −0.159439 | + | 0.595035i | ||||
\(433\) | 13.5601i | 0.651658i | 0.945429 | + | 0.325829i | \(0.105643\pi\) | ||||
−0.945429 | + | 0.325829i | \(0.894357\pi\) | |||||||
\(434\) | −0.633975 | − | 1.09808i | −0.0304318 | − | 0.0527093i | ||||
\(435\) | −1.45843 | − | 1.05063i | −0.0699264 | − | 0.0503741i | ||||
\(436\) | 10.9641 | − | 18.9904i | 0.525085 | − | 0.909474i | ||||
\(437\) | 0.328169 | + | 0.189469i | 0.0156985 | + | 0.00906352i | ||||
\(438\) | −5.37945 | + | 5.37945i | −0.257040 | + | 0.257040i | ||||
\(439\) | −12.6603 | − | 21.9282i | −0.604241 | − | 1.04658i | −0.992171 | − | 0.124887i | \(-0.960143\pi\) |
0.387930 | − | 0.921689i | \(-0.373190\pi\) | |||||||
\(440\) | 3.46410 | + | 4.24264i | 0.165145 | + | 0.202260i | ||||
\(441\) | 12.5885i | 0.599450i | ||||||||
\(442\) | 6.69213i | 0.318312i | ||||||||
\(443\) | −1.43280 | + | 0.827225i | −0.0680742 | + | 0.0393027i | −0.533651 | − | 0.845705i | \(-0.679180\pi\) |
0.465577 | + | 0.885008i | \(0.345847\pi\) | |||||||
\(444\) | −3.29423 | + | 12.2942i | −0.156337 | + | 0.583458i | ||||
\(445\) | 4.80408 | + | 29.5582i | 0.227735 | + | 1.40120i | ||||
\(446\) | −1.16025 | + | 2.00962i | −0.0549396 | + | 0.0951582i | ||||
\(447\) | 7.14042 | + | 1.91327i | 0.337730 | + | 0.0904945i | ||||
\(448\) | 6.57201 | − | 3.79435i | 0.310498 | − | 0.179266i | ||||
\(449\) | 12.0000 | 0.566315 | 0.283158 | − | 0.959073i | \(-0.408618\pi\) | ||||
0.283158 | + | 0.959073i | \(0.408618\pi\) | |||||||
\(450\) | −1.55291 | + | 7.60770i | −0.0732051 | + | 0.358630i | ||||
\(451\) | 9.80385 | 0.461645 | ||||||||
\(452\) | −25.8719 | + | 14.9372i | −1.21691 | + | 0.702586i | ||||
\(453\) | 10.5187 | − | 10.5187i | 0.494210 | − | 0.494210i | ||||
\(454\) | 6.83013 | − | 11.8301i | 0.320554 | − | 0.555215i | ||||
\(455\) | 2.94012 | + | 18.0898i | 0.137835 | + | 0.848062i | ||||
\(456\) | 2.36603 | − | 0.633975i | 0.110799 | − | 0.0296886i | ||||
\(457\) | −21.4770 | + | 12.3998i | −1.00465 | + | 0.580036i | −0.909621 | − | 0.415438i | \(-0.863628\pi\) |
−0.0950304 | + | 0.995474i | \(0.530295\pi\) | |||||||
\(458\) | 3.14299i | 0.146862i | ||||||||
\(459\) | 19.3923 | − | 19.3923i | 0.905155 | − | 0.905155i | ||||
\(460\) | 1.26795 | + | 1.55291i | 0.0591184 | + | 0.0724050i | ||||
\(461\) | 18.3564 | + | 31.7942i | 0.854943 | + | 1.48080i | 0.876698 | + | 0.481042i | \(0.159741\pi\) |
−0.0217547 | + | 0.999763i | \(0.506925\pi\) | |||||||
\(462\) | 0.984508 | + | 3.67423i | 0.0458035 | + | 0.170941i | ||||
\(463\) | −29.5462 | − | 17.0585i | −1.37313 | − | 0.792776i | −0.381807 | − | 0.924242i | \(-0.624698\pi\) |
−0.991321 | + | 0.131467i | \(0.958031\pi\) | |||||||
\(464\) | −0.571797 | + | 0.990381i | −0.0265450 | + | 0.0459773i | ||||
\(465\) | −0.284965 | + | 2.82086i | −0.0132149 | + | 0.130814i | ||||
\(466\) | −1.83013 | − | 3.16987i | −0.0847790 | − | 0.146842i | ||||
\(467\) | 25.3543i | 1.17326i | 0.809856 | + | 0.586629i | \(0.199545\pi\) | ||||
−0.809856 | + | 0.586629i | \(0.800455\pi\) | |||||||
\(468\) | −6.36396 | + | 11.0227i | −0.294174 | + | 0.509525i | ||||
\(469\) | 25.3923 | 1.17251 | ||||||||
\(470\) | −3.21121 | − | 1.21780i | −0.148122 | − | 0.0561731i | ||||
\(471\) | 5.78461 | − | 21.5885i | 0.266541 | − | 0.994744i | ||||
\(472\) | −15.8338 | − | 9.14162i | −0.728807 | − | 0.420777i | ||||
\(473\) | −0.720710 | − | 0.416102i | −0.0331383 | − | 0.0191324i | ||||
\(474\) | 1.73205 | − | 6.46410i | 0.0795557 | − | 0.296906i | ||||
\(475\) | −3.47185 | + | 1.15918i | −0.159300 | + | 0.0531867i | ||||
\(476\) | −30.5885 | −1.40202 | ||||||||
\(477\) | −1.55291 | − | 2.68973i | −0.0711031 | − | 0.123154i | ||||
\(478\) | − | 0.480473i | − | 0.0219763i | ||||||
\(479\) | 2.07180 | + | 3.58846i | 0.0946628 | + | 0.163961i | 0.909468 | − | 0.415774i | \(-0.136489\pi\) |
−0.814805 | + | 0.579735i | \(0.803156\pi\) | |||||||
\(480\) | 19.8033 | + | 2.00054i | 0.903893 | + | 0.0913118i | ||||
\(481\) | −5.19615 | + | 9.00000i | −0.236924 | + | 0.410365i | ||||
\(482\) | 4.36276 | + | 2.51884i | 0.198718 | + | 0.114730i | ||||
\(483\) | 0.776457 | + | 2.89778i | 0.0353300 | + | 0.131853i | ||||
\(484\) | 8.13397 | + | 14.0885i | 0.369726 | + | 0.640384i | ||||
\(485\) | 21.4641 | + | 26.2880i | 0.974635 | + | 1.19368i | ||||
\(486\) | −7.79423 | + | 2.08846i | −0.353553 | + | 0.0947343i | ||||
\(487\) | 15.8338i | 0.717496i | 0.933435 | + | 0.358748i | \(0.116796\pi\) | ||||
−0.933435 | + | 0.358748i | \(0.883204\pi\) | |||||||
\(488\) | 11.1428 | − | 6.43331i | 0.504412 | − | 0.291222i | ||||
\(489\) | 17.4904 | − | 4.68653i | 0.790942 | − | 0.211932i | ||||
\(490\) | 4.79403 | − | 0.779170i | 0.216572 | − | 0.0351993i | ||||
\(491\) | −16.8564 | + | 29.1962i | −0.760719 | + | 1.31760i | 0.181761 | + | 0.983343i | \(0.441820\pi\) |
−0.942480 | + | 0.334261i | \(0.891513\pi\) | |||||||
\(492\) | 16.4022 | − | 16.4022i | 0.739466 | − | 0.739466i | ||||
\(493\) | 2.12132 | − | 1.22474i | 0.0955395 | − | 0.0551597i | ||||
\(494\) | 0.928203 | 0.0417618 | ||||||||
\(495\) | 3.01604 | − | 7.95297i | 0.135561 | − | 0.357459i | ||||
\(496\) | 1.80385 | 0.0809951 | ||||||||
\(497\) | 41.1373 | − | 23.7506i | 1.84526 | − | 1.06536i | ||||
\(498\) | −6.90018 | − | 1.84890i | −0.309205 | − | 0.0828511i | ||||
\(499\) | 11.9282 | − | 20.6603i | 0.533980 | − | 0.924880i | −0.465232 | − | 0.885189i | \(-0.654029\pi\) |
0.999212 | − | 0.0396914i | \(-0.0126375\pi\) | |||||||
\(500\) | −19.3492 | − | 0.778985i | −0.865324 | − | 0.0348373i | ||||
\(501\) | 4.45448 | − | 16.6244i | 0.199012 | − | 0.742721i | ||||
\(502\) | 5.64325 | − | 3.25813i | 0.251871 | − | 0.145418i | ||||
\(503\) | − | 2.48665i | − | 0.110874i | −0.998462 | − | 0.0554372i | \(-0.982345\pi\) | ||
0.998462 | − | 0.0554372i | \(-0.0176553\pi\) | |||||||
\(504\) | 16.7942 | + | 9.69615i | 0.748074 | + | 0.431901i | ||||
\(505\) | −16.3923 | + | 13.3843i | −0.729448 | + | 0.595592i | ||||
\(506\) | 0.169873 | + | 0.294229i | 0.00755178 | + | 0.0130801i | ||||
\(507\) | 8.57321 | − | 8.57321i | 0.380750 | − | 0.380750i | ||||
\(508\) | −26.0800 | − | 15.0573i | −1.15711 | − | 0.668059i | ||||
\(509\) | 8.42820 | − | 14.5981i | 0.373574 | − | 0.647048i | −0.616539 | − | 0.787324i | \(-0.711466\pi\) |
0.990112 | + | 0.140276i | \(0.0447990\pi\) | |||||||
\(510\) | −8.58542 | − | 6.18482i | −0.380169 | − | 0.273869i | ||||
\(511\) | −14.1962 | − | 24.5885i | −0.628001 | − | 1.08773i | ||||
\(512\) | − | 22.1841i | − | 0.980408i | ||||||
\(513\) | −2.68973 | − | 2.68973i | −0.118754 | − | 0.118754i | ||||
\(514\) | −8.67949 | −0.382836 | ||||||||
\(515\) | 0.520407 | − | 1.37225i | 0.0229319 | − | 0.0604687i | ||||
\(516\) | −1.90192 | + | 0.509619i | −0.0837275 | + | 0.0224347i | ||||
\(517\) | 3.25813 | + | 1.88108i | 0.143293 | + | 0.0827300i | ||||
\(518\) | 6.36396 | + | 3.67423i | 0.279616 | + | 0.161437i | ||||
\(519\) | −12.9282 | − | 12.9282i | −0.567485 | − | 0.567485i | ||||
\(520\) | 9.89363 | + | 3.75201i | 0.433864 | + | 0.164537i | ||||
\(521\) | −19.3923 | −0.849592 | −0.424796 | − | 0.905289i | \(-0.639654\pi\) | ||||
−0.424796 | + | 0.905289i | \(0.639654\pi\) | |||||||
\(522\) | −0.720710 | −0.0315446 | ||||||||
\(523\) | 35.1894i | 1.53873i | 0.638812 | + | 0.769363i | \(0.279426\pi\) | ||||
−0.638812 | + | 0.769363i | \(0.720574\pi\) | |||||||
\(524\) | −11.1962 | − | 19.3923i | −0.489106 | − | 0.847157i | ||||
\(525\) | −25.9249 | − | 12.9465i | −1.13145 | − | 0.565034i | ||||
\(526\) | −5.63397 | + | 9.75833i | −0.245653 | + | 0.425483i | ||||
\(527\) | −3.34607 | − | 1.93185i | −0.145757 | − | 0.0841528i | ||||
\(528\) | −5.22715 | − | 1.40061i | −0.227482 | − | 0.0609537i | ||||
\(529\) | −11.3660 | − | 19.6865i | −0.494175 | − | 0.855936i | ||||
\(530\) | −0.928203 | + | 0.757875i | −0.0403186 | + | 0.0329200i | ||||
\(531\) | 28.3923i | 1.23212i | ||||||||
\(532\) | 4.24264i | 0.183942i | ||||||||
\(533\) | 16.4022 | − | 9.46979i | 0.710456 | − | 0.410182i | ||||
\(534\) | 8.49038 | + | 8.49038i | 0.367415 | + | 0.367415i | ||||
\(535\) | −22.7676 | + | 3.70041i | −0.984330 | + | 0.159982i | ||||
\(536\) | 7.33013 | − | 12.6962i | 0.316613 | − | 0.548390i | ||||
\(537\) | 2.95352 | + | 11.0227i | 0.127454 | + | 0.475665i | ||||
\(538\) | 3.05008 | − | 1.76097i | 0.131498 | − | 0.0759206i | ||||
\(539\) | −5.32051 | −0.229171 | ||||||||
\(540\) | −8.25964 | − | 18.3515i | −0.355438 | − | 0.789724i | ||||
\(541\) | 0.607695 | 0.0261269 | 0.0130634 | − | 0.999915i | \(-0.495842\pi\) | ||||
0.0130634 | + | 0.999915i | \(0.495842\pi\) | |||||||
\(542\) | −9.64566 | + | 5.56892i | −0.414316 | + | 0.239206i | ||||
\(543\) | 0.688524 | + | 2.56961i | 0.0295474 | + | 0.110272i | ||||
\(544\) | −13.5622 | + | 23.4904i | −0.581474 | + | 1.00714i | ||||
\(545\) | 4.54148 | + | 27.9425i | 0.194536 | + | 1.19693i | ||||
\(546\) | 5.19615 | + | 5.19615i | 0.222375 | + | 0.222375i | ||||
\(547\) | −22.5581 | + | 13.0239i | −0.964513 | + | 0.556862i | −0.897559 | − | 0.440894i | \(-0.854661\pi\) |
−0.0669541 | + | 0.997756i | \(0.521328\pi\) | |||||||
\(548\) | 27.2490i | 1.16402i | ||||||||
\(549\) | −17.3038 | − | 9.99038i | −0.738510 | − | 0.426379i | ||||
\(550\) | −3.21539 | − | 0.656339i | −0.137105 | − | 0.0279864i | ||||
\(551\) | −0.169873 | − | 0.294229i | −0.00723683 | − | 0.0125346i | ||||
\(552\) | 1.67303 | + | 0.448288i | 0.0712090 | + | 0.0190804i | ||||
\(553\) | 21.6293 | + | 12.4877i | 0.919772 | + | 0.531030i | ||||
\(554\) | −3.16987 | + | 5.49038i | −0.134675 | + | 0.233264i | ||||
\(555\) | −6.74397 | − | 14.9840i | −0.286265 | − | 0.636033i | ||||
\(556\) | −6.92820 | − | 12.0000i | −0.293821 | − | 0.508913i | ||||
\(557\) | − | 31.1127i | − | 1.31829i | −0.752017 | − | 0.659144i | \(-0.770919\pi\) | ||
0.752017 | − | 0.659144i | \(-0.229081\pi\) | |||||||
\(558\) | 0.568406 | + | 0.984508i | 0.0240625 | + | 0.0416776i | ||||
\(559\) | −1.60770 | −0.0679983 | ||||||||
\(560\) | −6.53744 | + | 17.2385i | −0.276257 | + | 0.728459i | ||||
\(561\) | 8.19615 | + | 8.19615i | 0.346042 | + | 0.346042i | ||||
\(562\) | −8.84564 | − | 5.10703i | −0.373131 | − | 0.215427i | ||||
\(563\) | 7.94906 | + | 4.58939i | 0.335013 | + | 0.193420i | 0.658065 | − | 0.752962i | \(-0.271375\pi\) |
−0.323052 | + | 0.946381i | \(0.604709\pi\) | |||||||
\(564\) | 8.59808 | − | 2.30385i | 0.362044 | − | 0.0970095i | ||||
\(565\) | 13.6758 | − | 36.0615i | 0.575345 | − | 1.51712i | ||||
\(566\) | 8.66025 | 0.364018 | ||||||||
\(567\) | − | 30.1146i | − | 1.26469i | ||||||
\(568\) | − | 27.4249i | − | 1.15072i | ||||||
\(569\) | 14.6603 | + | 25.3923i | 0.614590 | + | 1.06450i | 0.990456 | + | 0.137827i | \(0.0440118\pi\) |
−0.375867 | + | 0.926674i | \(0.622655\pi\) | |||||||
\(570\) | −0.857840 | + | 1.19080i | −0.0359309 | + | 0.0498773i | ||||
\(571\) | 0.732051 | − | 1.26795i | 0.0306354 | − | 0.0530620i | −0.850301 | − | 0.526296i | \(-0.823580\pi\) |
0.880937 | + | 0.473234i | \(0.156914\pi\) | |||||||
\(572\) | −4.65874 | − | 2.68973i | −0.194792 | − | 0.112463i | ||||
\(573\) | 21.6293 | − | 21.6293i | 0.903577 | − | 0.903577i | ||||
\(574\) | −6.69615 | − | 11.5981i | −0.279492 | − | 0.484094i | ||||
\(575\) | −2.53590 | − | 0.517638i | −0.105754 | − | 0.0215870i | ||||
\(576\) | −5.89230 | + | 3.40192i | −0.245513 | + | 0.141747i | ||||
\(577\) | 13.8647i | 0.577196i | 0.957450 | + | 0.288598i | \(0.0931892\pi\) | ||||
−0.957450 | + | 0.288598i | \(0.906811\pi\) | |||||||
\(578\) | 4.86679 | − | 2.80984i | 0.202432 | − | 0.116874i | ||||
\(579\) | −1.68653 | + | 6.29423i | −0.0700899 | + | 0.261579i | ||||
\(580\) | −0.288356 | − | 1.77418i | −0.0119733 | − | 0.0736687i | ||||
\(581\) | 13.3301 | − | 23.0885i | 0.553027 | − | 0.957871i | ||||
\(582\) | 13.1440 | + | 3.52193i | 0.544837 | + | 0.145989i | ||||
\(583\) | 1.13681 | − | 0.656339i | 0.0470819 | − | 0.0271828i | ||||
\(584\) | −16.3923 | −0.678318 | ||||||||
\(585\) | −2.63604 | − | 16.2189i | −0.108987 | − | 0.670567i | ||||
\(586\) | 7.12436 | 0.294304 | ||||||||
\(587\) | 4.21046 | − | 2.43091i | 0.173784 | − | 0.100334i | −0.410585 | − | 0.911822i | \(-0.634675\pi\) |
0.584369 | + | 0.811488i | \(0.301342\pi\) | |||||||
\(588\) | −8.90138 | + | 8.90138i | −0.367087 | + | 0.367087i | ||||
\(589\) | −0.267949 | + | 0.464102i | −0.0110407 | + | 0.0191230i | ||||
\(590\) | 10.8126 | − | 1.75736i | 0.445146 | − | 0.0723493i | ||||
\(591\) | 26.6603 | − | 7.14359i | 1.09666 | − | 0.293848i | ||||
\(592\) | −9.05369 | + | 5.22715i | −0.372104 | + | 0.214834i | ||||
\(593\) | 19.1427i | 0.786094i | 0.919518 | + | 0.393047i | \(0.128579\pi\) | ||||
−0.919518 | + | 0.393047i | \(0.871421\pi\) | |||||||
\(594\) | −0.882686 | − | 3.29423i | −0.0362170 | − | 0.135164i | ||||
\(595\) | 30.5885 | − | 24.9754i | 1.25400 | − | 1.02389i | ||||
\(596\) | 3.69615 | + | 6.40192i | 0.151400 | + | 0.262233i | ||||
\(597\) | 11.9193 | + | 44.4834i | 0.487824 | + | 1.82058i | ||||
\(598\) | 0.568406 | + | 0.328169i | 0.0232439 | + | 0.0134198i | ||||
\(599\) | −10.8564 | + | 18.8038i | −0.443581 | + | 0.768304i | −0.997952 | − | 0.0639650i | \(-0.979625\pi\) |
0.554371 | + | 0.832269i | \(0.312959\pi\) | |||||||
\(600\) | −13.9571 | + | 9.22508i | −0.569798 | + | 0.376612i | ||||
\(601\) | 1.53590 | + | 2.66025i | 0.0626506 | + | 0.108514i | 0.895649 | − | 0.444761i | \(-0.146711\pi\) |
−0.832999 | + | 0.553275i | \(0.813378\pi\) | |||||||
\(602\) | 1.13681i | 0.0463330i | ||||||||
\(603\) | −22.7661 | −0.927108 | ||||||||
\(604\) | 14.8756 | 0.605281 | ||||||||
\(605\) | −19.6372 | − | 7.44709i | −0.798364 | − | 0.302767i | ||||
\(606\) | −2.19615 | + | 8.19615i | −0.0892126 | + | 0.332946i | ||||
\(607\) | −18.1631 | − | 10.4865i | −0.737218 | − | 0.425633i | 0.0838387 | − | 0.996479i | \(-0.473282\pi\) |
−0.821057 | + | 0.570846i | \(0.806615\pi\) | |||||||
\(608\) | 3.25813 | + | 1.88108i | 0.132135 | + | 0.0762880i | ||||
\(609\) | 0.696152 | − | 2.59808i | 0.0282095 | − | 0.105279i | ||||
\(610\) | −2.73358 | + | 7.20814i | −0.110679 | + | 0.291849i | ||||
\(611\) | 7.26795 | 0.294030 | ||||||||
\(612\) | 27.4249 | 1.10858 | ||||||||
\(613\) | 9.62209i | 0.388633i | 0.980939 | + | 0.194316i | \(0.0622488\pi\) | ||||
−0.980939 | + | 0.194316i | \(0.937751\pi\) | |||||||
\(614\) | 0.990381 | + | 1.71539i | 0.0399685 | + | 0.0692275i | ||||
\(615\) | −3.00985 | + | 29.7945i | −0.121369 | + | 1.20143i | ||||
\(616\) | −4.09808 | + | 7.09808i | −0.165116 | + | 0.285990i | ||||
\(617\) | −15.5935 | − | 9.00292i | −0.627771 | − | 0.362444i | 0.152117 | − | 0.988362i | \(-0.451391\pi\) |
−0.779888 | + | 0.625919i | \(0.784724\pi\) | |||||||
\(618\) | −0.152304 | − | 0.568406i | −0.00612656 | − | 0.0228646i | ||||
\(619\) | 15.0981 | + | 26.1506i | 0.606843 | + | 1.05108i | 0.991757 | + | 0.128130i | \(0.0408976\pi\) |
−0.384914 | + | 0.922952i | \(0.625769\pi\) | |||||||
\(620\) | −2.19615 | + | 1.79315i | −0.0881996 | + | 0.0720147i | ||||
\(621\) | −0.696152 | − | 2.59808i | −0.0279356 | − | 0.104257i | ||||
\(622\) | 5.20359i | 0.208645i | ||||||||
\(623\) | −38.8079 | + | 22.4058i | −1.55481 | + | 0.897668i | ||||
\(624\) | −10.0981 | + | 2.70577i | −0.404247 | + | 0.108318i | ||||
\(625\) | 19.9853 | − | 15.0196i | 0.799411 | − | 0.600784i | ||||
\(626\) | 3.63397 | − | 6.29423i | 0.145243 | − | 0.251568i | ||||
\(627\) | 1.13681 | − | 1.13681i | 0.0453999 | − | 0.0453999i | ||||
\(628\) | 19.3557 | − | 11.1750i | 0.772376 | − | 0.445931i | ||||
\(629\) | 22.3923 | 0.892840 | ||||||||
\(630\) | −11.4685 | + | 1.86396i | −0.456915 | + | 0.0742620i | ||||
\(631\) | 1.32051 | 0.0525686 | 0.0262843 | − | 0.999655i | \(-0.491632\pi\) | ||||
0.0262843 | + | 0.999655i | \(0.491632\pi\) | |||||||
\(632\) | 12.4877 | − | 7.20977i | 0.496733 | − | 0.286789i | ||||
\(633\) | −18.6114 | − | 4.98691i | −0.739737 | − | 0.198212i | ||||
\(634\) | 1.04552 | − | 1.81089i | 0.0415228 | − | 0.0719196i | ||||
\(635\) | 38.3742 | − | 6.23694i | 1.52283 | − | 0.247505i | ||||
\(636\) | 0.803848 | − | 3.00000i | 0.0318746 | − | 0.118958i | ||||
\(637\) | −8.90138 | + | 5.13922i | −0.352686 | + | 0.203623i | ||||
\(638\) | − | 0.304608i | − | 0.0120595i | ||||||
\(639\) | −36.8827 | + | 21.2942i | −1.45906 | + | 0.842387i | ||||
\(640\) | 16.1962 | + | 19.8362i | 0.640209 | + | 0.784093i | ||||
\(641\) | −6.52628 | − | 11.3038i | −0.257773 | − | 0.446475i | 0.707872 | − | 0.706340i | \(-0.249655\pi\) |
−0.965645 | + | 0.259865i | \(0.916322\pi\) | |||||||
\(642\) | −6.53983 | + | 6.53983i | −0.258106 | + | 0.258106i | ||||
\(643\) | 11.2308 | + | 6.48408i | 0.442898 | + | 0.255707i | 0.704826 | − | 0.709380i | \(-0.251025\pi\) |
−0.261928 | + | 0.965087i | \(0.584358\pi\) | |||||||
\(644\) | −1.50000 | + | 2.59808i | −0.0591083 | + | 0.102379i | ||||
\(645\) | 1.48582 | − | 2.06253i | 0.0585042 | − | 0.0812122i | ||||
\(646\) | −1.00000 | − | 1.73205i | −0.0393445 | − | 0.0681466i | ||||
\(647\) | − | 19.4572i | − | 0.764942i | −0.923967 | − | 0.382471i | \(-0.875073\pi\) | ||
0.923967 | − | 0.382471i | \(-0.124927\pi\) | |||||||
\(648\) | −15.0573 | − | 8.69333i | −0.591506 | − | 0.341506i | ||||
\(649\) | −12.0000 | −0.471041 | ||||||||
\(650\) | −6.01343 | + | 2.00775i | −0.235866 | + | 0.0787505i | ||||
\(651\) | −4.09808 | + | 1.09808i | −0.160616 | + | 0.0430370i | ||||
\(652\) | 15.6814 | + | 9.05369i | 0.614133 | + | 0.354570i | ||||
\(653\) | −42.0339 | − | 24.2683i | −1.64491 | − | 0.949691i | −0.979051 | − | 0.203615i | \(-0.934731\pi\) |
−0.665861 | − | 0.746076i | \(-0.731936\pi\) | |||||||
\(654\) | 8.02628 | + | 8.02628i | 0.313852 | + | 0.313852i | ||||
\(655\) | 27.0299 | + | 10.2507i | 1.05615 | + | 0.400527i | ||||
\(656\) | 19.0526 | 0.743877 | ||||||||
\(657\) | 12.7279 | + | 22.0454i | 0.496564 | + | 0.860073i | ||||
\(658\) | − | 5.13922i | − | 0.200348i | ||||||
\(659\) | −6.12436 | − | 10.6077i | −0.238571 | − | 0.413217i | 0.721733 | − | 0.692171i | \(-0.243346\pi\) |
−0.960304 | + | 0.278954i | \(0.910012\pi\) | |||||||
\(660\) | 7.75627 | − | 3.49093i | 0.301912 | − | 0.135884i | ||||
\(661\) | −5.39230 | + | 9.33975i | −0.209736 | + | 0.363274i | −0.951631 | − | 0.307242i | \(-0.900594\pi\) |
0.741895 | + | 0.670516i | \(0.233927\pi\) | |||||||
\(662\) | −3.76217 | − | 2.17209i | −0.146221 | − | 0.0844206i | ||||
\(663\) | 21.6293 | + | 5.79555i | 0.840013 | + | 0.225081i | ||||
\(664\) | −7.69615 | − | 13.3301i | −0.298669 | − | 0.517309i | ||||
\(665\) | −3.46410 | − | 4.24264i | −0.134332 | − | 0.164523i | ||||
\(666\) | −5.70577 | − | 3.29423i | −0.221094 | − | 0.127649i | ||||
\(667\) | − | 0.240237i | − | 0.00930200i | ||||||
\(668\) | 14.9050 | − | 8.60540i | 0.576691 | − | 0.332953i | ||||
\(669\) | 5.49038 | + | 5.49038i | 0.212270 | + | 0.212270i | ||||
\(670\) | 1.40912 | + | 8.66996i | 0.0544392 | + | 0.334950i | ||||
\(671\) | 4.22243 | − | 7.31347i | 0.163005 | − | 0.282333i | ||||
\(672\) | 7.70882 | + | 28.7697i | 0.297374 | + | 1.10982i | ||||
\(673\) | 35.3417 | − | 20.4046i | 1.36232 | − | 0.786538i | 0.372391 | − | 0.928076i | \(-0.378538\pi\) |
0.989933 | + | 0.141538i | \(0.0452047\pi\) | |||||||
\(674\) | 3.46410 | 0.133432 | ||||||||
\(675\) | 23.2436 | + | 11.6076i | 0.894646 | + | 0.446775i | ||||
\(676\) | 12.1244 | 0.466321 | ||||||||
\(677\) | −3.19376 | + | 1.84392i | −0.122746 | + | 0.0708676i | −0.560116 | − | 0.828414i | \(-0.689243\pi\) |
0.437370 | + | 0.899282i | \(0.355910\pi\) | |||||||
\(678\) | −4.00240 | − | 14.9372i | −0.153711 | − | 0.573659i | ||||
\(679\) | −25.3923 | + | 43.9808i | −0.974467 | + | 1.68783i | ||||
\(680\) | −3.65756 | − | 22.5040i | −0.140261 | − | 0.862989i | ||||
\(681\) | −32.3205 | − | 32.3205i | −1.23852 | − | 1.23852i | ||||
\(682\) | −0.416102 | + | 0.240237i | −0.0159334 | + | 0.00919914i | ||||
\(683\) | − | 0.101536i | − | 0.00388517i | −0.999998 | − | 0.00194258i | \(-0.999382\pi\) | ||
0.999998 | − | 0.00194258i | \(-0.000618344\pi\) | |||||||
\(684\) | − | 3.80385i | − | 0.145444i | ||||||
\(685\) | −22.2487 | − | 27.2490i | −0.850080 | − | 1.04113i | ||||
\(686\) | −2.42820 | − | 4.20577i | −0.0927092 | − | 0.160577i | ||||
\(687\) | 10.1583 | + | 2.72191i | 0.387564 | + | 0.103847i | ||||
\(688\) | −1.40061 | − | 0.808643i | −0.0533978 | − | 0.0308292i | ||||
\(689\) | 1.26795 | − | 2.19615i | 0.0483050 | − | 0.0836667i | ||||
\(690\) | −0.946330 | + | 0.425924i | −0.0360262 | + | 0.0162146i | ||||
\(691\) | 14.1244 | + | 24.4641i | 0.537316 | + | 0.930658i | 0.999047 | + | 0.0436386i | \(0.0138950\pi\) |
−0.461732 | + | 0.887020i | \(0.652772\pi\) | |||||||
\(692\) | − | 18.2832i | − | 0.695025i | ||||||
\(693\) | 12.7279 | 0.483494 | ||||||||
\(694\) | −5.12436 | −0.194518 | ||||||||
\(695\) | 16.7262 | + | 6.34315i | 0.634459 | + | 0.240609i | ||||
\(696\) | −1.09808 | − | 1.09808i | −0.0416225 | − | 0.0416225i | ||||
\(697\) | −35.3417 | − | 20.4046i | −1.33866 | − | 0.772878i | ||||
\(698\) | −12.7601 | − | 7.36705i | −0.482977 | − | 0.278847i | ||||
\(699\) | −11.8301 | + | 3.16987i | −0.447456 | + | 0.119896i | ||||
\(700\) | −9.17705 | − | 27.4862i | −0.346860 | − | 1.03888i | ||||
\(701\) | −12.8038 | −0.483595 | −0.241797 | − | 0.970327i | \(-0.577737\pi\) | ||||
−0.241797 | + | 0.970327i | \(0.577737\pi\) | |||||||
\(702\) | −4.65874 | − | 4.65874i | −0.175833 | − | 0.175833i | ||||
\(703\) | − | 3.10583i | − | 0.117139i | ||||||
\(704\) | −1.43782 | − | 2.49038i | −0.0541900 | − | 0.0938598i | ||||
\(705\) | −6.71699 | + | 9.32415i | −0.252977 | + | 0.351168i | ||||
\(706\) | 5.26795 | − | 9.12436i | 0.198262 | − | 0.343400i | ||||
\(707\) | −27.4249 | − | 15.8338i | −1.03142 | − | 0.595489i | ||||
\(708\) | −20.0764 | + | 20.0764i | −0.754517 | + | 0.754517i | ||||
\(709\) | 4.89230 | + | 8.47372i | 0.183734 | + | 0.318237i | 0.943149 | − | 0.332369i | \(-0.107848\pi\) |
−0.759415 | + | 0.650607i | \(0.774515\pi\) | |||||||
\(710\) | 10.3923 | + | 12.7279i | 0.390016 | + | 0.477670i | ||||
\(711\) | −19.3923 | − | 11.1962i | −0.727268 | − | 0.419889i | ||||
\(712\) | 25.8719i | 0.969592i | ||||||||
\(713\) | −0.328169 | + | 0.189469i | −0.0122900 | + | 0.00709566i | ||||
\(714\) | 4.09808 | − | 15.2942i | 0.153367 | − | 0.572372i | ||||
\(715\) | 6.85490 | − | 1.11412i | 0.256359 | − | 0.0416658i | ||||
\(716\) | −5.70577 | + | 9.88269i | −0.213235 | + | 0.369333i | ||||
\(717\) | −1.55291 | − | 0.416102i | −0.0579946 | − | 0.0155396i | ||||
\(718\) | 9.05369 | − | 5.22715i | 0.337881 | − | 0.195075i | ||||
\(719\) | −40.3923 | −1.50638 | −0.753189 | − | 0.657804i | \(-0.771486\pi\) | ||||
−0.753189 | + | 0.657804i | \(0.771486\pi\) | |||||||
\(720\) | 5.86131 | − | 15.4556i | 0.218438 | − | 0.575997i | ||||
\(721\) | 2.19615 | 0.0817890 | ||||||||
\(722\) | 8.27723 | − | 4.77886i | 0.308047 | − | 0.177851i | ||||
\(723\) | 11.9193 | − | 11.9193i | 0.443283 | − | 0.443283i | ||||
\(724\) | −1.33013 | + | 2.30385i | −0.0494338 | + | 0.0856218i | ||||
\(725\) | 1.73697 | + | 1.53874i | 0.0645093 | + | 0.0571472i | ||||
\(726\) | −8.13397 | + | 2.17949i | −0.301880 | + | 0.0808885i | ||||
\(727\) | 1.19256 | − | 0.688524i | 0.0442296 | − | 0.0255360i | −0.477722 | − | 0.878511i | \(-0.658537\pi\) |
0.521952 | + | 0.852975i | \(0.325204\pi\) | |||||||
\(728\) | 15.8338i | 0.586838i | ||||||||
\(729\) | 27.0000i | 1.00000i | ||||||||
\(730\) | 7.60770 | − | 6.21166i | 0.281573 | − | 0.229904i | ||||
\(731\) | 1.73205 | + | 3.00000i | 0.0640622 | + | 0.110959i | ||||
\(732\) | −5.17140 | − | 19.2999i | −0.191141 | − | 0.713346i | ||||
\(733\) | −6.51626 | − | 3.76217i | −0.240684 | − | 0.138959i | 0.374807 | − | 0.927103i | \(-0.377709\pi\) |
−0.615491 | + | 0.788144i | \(0.711042\pi\) | |||||||
\(734\) | −8.95448 | + | 15.5096i | −0.330516 | + | 0.572470i | ||||
\(735\) | 1.63343 | − | 16.1693i | 0.0602501 | − | 0.596415i | ||||
\(736\) | 1.33013 | + | 2.30385i | 0.0490291 | + | 0.0849209i | ||||
\(737\) | − | 9.62209i | − | 0.354434i | ||||||
\(738\) | 6.00361 | + | 10.3986i | 0.220996 | + | 0.382776i | ||||
\(739\) | 18.1436 | 0.667423 | 0.333711 | − | 0.942675i | \(-0.391699\pi\) | ||||
0.333711 | + | 0.942675i | \(0.391699\pi\) | |||||||
\(740\) | 5.82655 | − | 15.3640i | 0.214188 | − | 0.564790i | ||||
\(741\) | 0.803848 | − | 3.00000i | 0.0295301 | − | 0.110208i | ||||
\(742\) | −1.55291 | − | 0.896575i | −0.0570093 | − | 0.0329143i | ||||
\(743\) | 28.2893 | + | 16.3328i | 1.03783 | + | 0.599193i | 0.919218 | − | 0.393748i | \(-0.128822\pi\) |
0.118613 | + | 0.992941i | \(0.462155\pi\) | |||||||
\(744\) | −0.633975 | + | 2.36603i | −0.0232426 | + | 0.0867427i | ||||
\(745\) | −8.92330 | − | 3.38403i | −0.326924 | − | 0.123981i | ||||
\(746\) | −14.1051 | −0.516425 | ||||||||
\(747\) | −11.9515 | + | 20.7005i | −0.437281 | + | 0.757393i | ||||
\(748\) | 11.5911i | 0.423813i | ||||||||
\(749\) | −17.2583 | − | 29.8923i | −0.630606 | − | 1.09224i | ||||
\(750\) | 2.98180 | − | 9.57026i | 0.108880 | − | 0.349456i | ||||
\(751\) | 12.2224 | − | 21.1699i | 0.446003 | − | 0.772500i | −0.552119 | − | 0.833766i | \(-0.686180\pi\) |
0.998121 | + | 0.0612659i | \(0.0195138\pi\) | |||||||
\(752\) | 6.33178 | + | 3.65565i | 0.230896 | + | 0.133308i | ||||
\(753\) | −5.64325 | − | 21.0609i | −0.205651 | − | 0.767502i | ||||
\(754\) | −0.294229 | − | 0.509619i | −0.0107152 | − | 0.0185592i | ||||
\(755\) | −14.8756 | + | 12.1459i | −0.541380 | + | 0.442035i | ||||
\(756\) | 21.2942 | − | 21.2942i | 0.774464 | − | 0.774464i | ||||
\(757\) | − | 7.34847i | − | 0.267085i | −0.991043 | − | 0.133542i | \(-0.957365\pi\) | ||
0.991043 | − | 0.133542i | \(-0.0426352\pi\) | |||||||
\(758\) | 8.72552 | − | 5.03768i | 0.316925 | − | 0.182977i | ||||
\(759\) | 1.09808 | − | 0.294229i | 0.0398576 | − | 0.0106798i | ||||
\(760\) | −3.12132 | + | 0.507306i | −0.113222 | + | 0.0184019i | ||||
\(761\) | −7.96410 | + | 13.7942i | −0.288698 | + | 0.500040i | −0.973499 | − | 0.228690i | \(-0.926556\pi\) |
0.684801 | + | 0.728730i | \(0.259889\pi\) | |||||||
\(762\) | 11.0227 | − | 11.0227i | 0.399310 | − | 0.399310i | ||||
\(763\) | −36.6866 | + | 21.1810i | −1.32814 | + | 0.766804i | ||||
\(764\) | 30.5885 | 1.10665 | ||||||||
\(765\) | −27.4249 | + | 22.3923i | −0.991548 | + | 0.809595i | ||||
\(766\) | 5.51666 | 0.199325 | ||||||||
\(767\) | −20.0764 | + | 11.5911i | −0.724916 | + | 0.418531i |