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 | 34.3 | ||
Root | \(0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.34 |
Dual form | 45.2.j.a.4.3 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 | \(-0.274748\pi\) |
−0.333062 | + | 0.942905i | \(0.608082\pi\) | |||||||
\(3\) | −0.448288 | + | 1.67303i | −0.258819 | + | 0.965926i | ||||
\(4\) | −0.866025 | − | 1.50000i | −0.433013 | − | 0.750000i | ||||
\(5\) | 2.09077 | + | 0.792893i | 0.935021 | + | 0.354593i | ||||
\(6\) | −0.633975 | + | 0.633975i | −0.258819 | + | 0.258819i | ||||
\(7\) | −2.89778 | − | 1.67303i | −1.09526 | − | 0.632347i | −0.160286 | − | 0.987071i | \(-0.551242\pi\) |
−0.934971 | + | 0.354724i | \(0.884575\pi\) | |||||||
\(8\) | − | 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 | −0.945632 | − | 0.325239i | \(-0.894555\pi\) |
0.754481 | + | 0.656322i | \(0.227889\pi\) | |||||||
\(12\) | 2.89778 | − | 0.776457i | 0.836516 | − | 0.224144i | ||||
\(13\) | 2.12132 | − | 1.22474i | 0.588348 | − | 0.339683i | −0.176096 | − | 0.984373i | \(-0.556347\pi\) |
0.764444 | + | 0.644690i | \(0.223014\pi\) | |||||||
\(14\) | −0.866025 | − | 1.50000i | −0.231455 | − | 0.400892i | ||||
\(15\) | −2.26380 | + | 3.14248i | −0.584511 | + | 0.811386i | ||||
\(16\) | −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 | \(0.473239\pi\) | |||||||
\(20\) | −0.621320 | − | 3.82282i | −0.138931 | − | 0.854809i | ||||
\(21\) | 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 | \(-0.683853\pi\) |
0.452534 | + | 0.891747i | \(0.350520\pi\) | |||||||
\(24\) | 3.23205 | + | 0.866025i | 0.659740 | + | 0.176777i | ||||
\(25\) | 3.74264 | + | 3.31552i | 0.748528 | + | 0.663103i | ||||
\(26\) | 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 | −0.886766 | − | 0.462218i | \(-0.847054\pi\) |
0.843676 | + | 0.536853i | \(0.180387\pi\) | |||||||
\(30\) | −1.82817 | + | 0.822821i | −0.333777 | + | 0.150226i | ||||
\(31\) | −0.366025 | − | 0.633975i | −0.0657401 | − | 0.113865i | 0.831282 | − | 0.555851i | \(-0.187607\pi\) |
−0.897022 | + | 0.441986i | \(0.854274\pi\) | |||||||
\(32\) | −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 | ||||
\(40\) | 1.53175 | − | 4.03906i | 0.242191 | − | 0.638631i | ||||
\(41\) | −3.86603 | − | 6.69615i | −0.603772 | − | 1.04576i | −0.992244 | − | 0.124303i | \(-0.960331\pi\) |
0.388473 | − | 0.921460i | \(-0.373003\pi\) | |||||||
\(42\) | 2.89778 | − | 0.776457i | 0.447137 | − | 0.119810i | ||||
\(43\) | −0.568406 | − | 0.328169i | −0.0866811 | − | 0.0500454i | 0.456033 | − | 0.889963i | \(-0.349270\pi\) |
−0.542714 | + | 0.839918i | \(0.682603\pi\) | |||||||
\(44\) | 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 | \(-0.263902\pi\) |
−0.300744 | + | 0.953705i | \(0.597235\pi\) | |||||||
\(48\) | −3.01790 | − | 3.01790i | −0.435596 | − | 0.435596i | ||||
\(49\) | 2.09808 | + | 3.63397i | 0.299725 | + | 0.519139i | ||||
\(50\) | 0.819661 | + | 2.45497i | 0.115918 | + | 0.347185i | ||||
\(51\) | −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 | 0.990197 | + | 0.139675i | \(0.0446057\pi\) |
−0.374137 | + | 0.927373i | \(0.622061\pi\) | |||||||
\(60\) | 6.67423 | + | 0.674235i | 0.861640 | + | 0.0870433i | ||||
\(61\) | 3.33013 | − | 5.76795i | 0.426379 | − | 0.738510i | −0.570169 | − | 0.821527i | \(-0.693122\pi\) |
0.996548 | + | 0.0830172i | \(0.0264556\pi\) | |||||||
\(62\) | − | 0.378937i | − | 0.0481251i | ||||||
\(63\) | 5.01910 | + | 8.69333i | 0.632347 | + | 1.09526i | ||||
\(64\) | 2.26795 | 0.283494 | ||||||||
\(65\) | 5.40629 | − | 0.878680i | 0.670567 | − | 0.108987i | ||||
\(66\) | −0.294229 | − | 1.09808i | −0.0362170 | − | 0.135164i | ||||
\(67\) | −6.57201 | + | 3.79435i | −0.802899 | + | 0.463554i | −0.844484 | − | 0.535581i | \(-0.820093\pi\) |
0.0415848 | + | 0.999135i | \(0.486759\pi\) | |||||||
\(68\) | 7.91688 | − | 4.57081i | 0.960062 | − | 0.554292i | ||||
\(69\) | −0.232051 | − | 0.866025i | −0.0279356 | − | 0.104257i | ||||
\(70\) | −0.621320 | − | 3.82282i | −0.0742620 | − | 0.456915i | ||||
\(71\) | 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 | ||||
\(75\) | −7.22474 | + | 4.77526i | −0.834242 | + | 0.551399i | ||||
\(76\) | −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 | −0.576039 | − | 0.817422i | \(-0.695403\pi\) |
0.995928 | + | 0.0901537i | \(0.0287358\pi\) | |||||||
\(80\) | −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 | \(-0.477392\pi\) |
−0.828359 | + | 0.560198i | \(0.810725\pi\) | |||||||
\(84\) | −9.69615 | − | 2.59808i | −1.05794 | − | 0.283473i | ||||
\(85\) | −4.18482 | + | 11.0349i | −0.453908 | + | 1.19690i | ||||
\(86\) | −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 | \(0.751211\pi\) | |||||||
\(90\) | −0.557061 | − | 3.42745i | −0.0587193 | − | 0.361285i | ||||
\(91\) | −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 | ||||
\(95\) | 1.53055 | + | 0.580438i | 0.157031 | + | 0.0595517i | ||||
\(96\) | −2.30385 | − | 8.59808i | −0.235135 | − | 0.877537i | ||||
\(97\) | 13.1440 | + | 7.58871i | 1.33457 | + | 0.770516i | 0.985997 | − | 0.166764i | \(-0.0533318\pi\) |
0.348577 | + | 0.937280i | \(0.386665\pi\) | |||||||
\(98\) | 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 | −0.999444 | − | 0.0333310i | \(-0.989388\pi\) |
0.528588 | + | 0.848879i | \(0.322722\pi\) | |||||||
\(102\) | −3.34607 | − | 3.34607i | −0.331310 | − | 0.331310i | ||||
\(103\) | −0.568406 | + | 0.328169i | −0.0560067 | + | 0.0323355i | −0.527742 | − | 0.849405i | \(-0.676961\pi\) |
0.471735 | + | 0.881740i | \(0.343628\pi\) | |||||||
\(104\) | −2.36603 | − | 4.09808i | −0.232008 | − | 0.401849i | ||||
\(105\) | 11.8175 | − | 5.31880i | 1.15327 | − | 0.519062i | ||||
\(106\) | −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 | \(0.707353\pi\) | |||||||
\(110\) | −1.44861 | + | 0.235442i | −0.138120 | + | 0.0224485i | ||||
\(111\) | 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 | \(-0.967893\pi\) |
−0.410254 | + | 0.911971i | \(0.634560\pi\) | |||||||
\(114\) | −0.464102 | + | 0.464102i | −0.0434671 | + | 0.0434671i | ||||
\(115\) | −1.14248 | + | 0.185687i | −0.106537 | + | 0.0173154i | ||||
\(116\) | 0.803848 | 0.0746354 | ||||||||
\(117\) | −7.34847 | −0.679366 | ||||||||
\(118\) | 4.89898i | 0.450988i | ||||||||
\(119\) | 8.83013 | − | 15.2942i | 0.809456 | − | 1.40202i | ||||
\(120\) | 6.07081 | + | 4.37333i | 0.554187 | + | 0.399229i | ||||
\(121\) | 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 | ||||
\(130\) | 2.65099 | + | 1.00535i | 0.232507 | + | 0.0881749i | ||||
\(131\) | −6.46410 | − | 11.1962i | −0.564771 | − | 0.978212i | −0.997071 | − | 0.0764824i | \(-0.975631\pi\) |
0.432300 | − | 0.901730i | \(-0.357702\pi\) | |||||||
\(132\) | −0.984508 | + | 3.67423i | −0.0856904 | + | 0.319801i | ||||
\(133\) | −2.12132 | − | 1.22474i | −0.183942 | − | 0.106199i | ||||
\(134\) | −3.92820 | −0.339345 | ||||||||
\(135\) | 10.5953 | − | 4.76870i | 0.911894 | − | 0.410425i | ||||
\(136\) | 10.1962 | 0.874313 | ||||||||
\(137\) | −13.6245 | − | 7.86611i | −1.16402 | − | 0.672047i | −0.211755 | − | 0.977323i | \(-0.567918\pi\) |
−0.952264 | + | 0.305276i | \(0.901251\pi\) | |||||||
\(138\) | 0.120118 | − | 0.448288i | 0.0102252 | − | 0.0381608i | ||||
\(139\) | −4.00000 | − | 6.92820i | −0.339276 | − | 0.587643i | 0.645021 | − | 0.764165i | \(-0.276849\pi\) |
−0.984297 | + | 0.176522i | \(0.943515\pi\) | |||||||
\(140\) | −4.59526 | + | 12.1172i | −0.388370 | + | 1.02409i | ||||
\(141\) | −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 | 0.940100 | − | 0.340900i | \(-0.110732\pi\) |
−0.765278 | + | 0.643700i | \(0.777398\pi\) | |||||||
\(150\) | −4.47469 | + | 0.270787i | −0.365357 | + | 0.0221096i | ||||
\(151\) | −4.29423 | + | 7.43782i | −0.349459 | + | 0.605281i | −0.986154 | − | 0.165835i | \(-0.946968\pi\) |
0.636694 | + | 0.771116i | \(0.280301\pi\) | |||||||
\(152\) | − | 1.41421i | − | 0.114708i | ||||||
\(153\) | 7.91688 | − | 13.7124i | 0.640041 | − | 1.10858i | ||||
\(154\) | 2.19615 | 0.176971 | ||||||||
\(155\) | −0.262601 | − | 1.61571i | −0.0210926 | − | 0.129777i | ||||
\(156\) | 5.19615 | − | 5.19615i | 0.416025 | − | 0.416025i | ||||
\(157\) | 11.1750 | − | 6.45189i | 0.891863 | − | 0.514917i | 0.0173114 | − | 0.999850i | \(-0.494489\pi\) |
0.874551 | + | 0.484933i | \(0.161156\pi\) | |||||||
\(158\) | 3.34607 | − | 1.93185i | 0.266199 | − | 0.153690i | ||||
\(159\) | −1.73205 | − | 0.464102i | −0.137361 | − | 0.0368057i | ||||
\(160\) | −11.3428 | + | 1.84354i | −0.896727 | + | 0.145744i | ||||
\(161\) | 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 | ||||
\(165\) | −2.01549 | − | 4.47808i | −0.156906 | − | 0.348618i | ||||
\(166\) | −2.06218 | − | 3.57180i | −0.160056 | − | 0.277225i | ||||
\(167\) | 8.60540 | − | 4.96833i | 0.665906 | − | 0.384461i | −0.128618 | − | 0.991694i | \(-0.541054\pi\) |
0.794524 | + | 0.607233i | \(0.207721\pi\) | |||||||
\(168\) | −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 | \(-0.201901\pi\) |
−0.110467 | + | 0.993880i | \(0.535235\pi\) | |||||||
\(174\) | −0.107695 | − | 0.401924i | −0.00816435 | − | 0.0304698i | ||||
\(175\) | −5.29837 | − | 15.8692i | −0.400519 | − | 1.19960i | ||||
\(176\) | −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 | \(0.420811\pi\) | |||||||
\(180\) | −4.11999 | + | 10.8640i | −0.307086 | + | 0.809752i | ||||
\(181\) | 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 | ||||
\(185\) | 3.36396 | − | 8.87039i | 0.247323 | − | 0.652164i | ||||
\(186\) | 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 | 0.346743 | + | 0.937960i | \(0.387287\pi\) |
−0.985669 | + | 0.168691i | \(0.946046\pi\) | |||||||
\(192\) | −1.01669 | + | 3.79435i | −0.0733736 | + | 0.273834i | ||||
\(193\) | −3.25813 | + | 1.88108i | −0.234526 | + | 0.135403i | −0.612658 | − | 0.790348i | \(-0.709900\pi\) |
0.378133 | + | 0.925751i | \(0.376566\pi\) | |||||||
\(194\) | 3.92820 | + | 6.80385i | 0.282029 | + | 0.488488i | ||||
\(195\) | −0.953512 | + | 9.43879i | −0.0682824 | + | 0.675926i | ||||
\(196\) | 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 | \(0.108561\pi\) | |||||||
\(200\) | 6.40508 | − | 7.23023i | 0.452908 | − | 0.511254i | ||||
\(201\) | −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 | ||||
\(205\) | −2.77364 | − | 17.0655i | −0.193719 | − | 1.19190i | ||||
\(206\) | −0.339746 | −0.0236712 | ||||||||
\(207\) | 1.55291 | 0.107935 | ||||||||
\(208\) | 6.03579i | 0.418507i | ||||||||
\(209\) | −0.464102 | + | 0.803848i | −0.0321026 | + | 0.0556033i | ||||
\(210\) | 6.67423 | + | 0.674235i | 0.460566 | + | 0.0465266i | ||||
\(211\) | −5.56218 | − | 9.63397i | −0.382916 | − | 0.663230i | 0.608562 | − | 0.793507i | \(-0.291747\pi\) |
−0.991478 | + | 0.130276i | \(0.958414\pi\) | |||||||
\(212\) | 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 | ||||
\(220\) | 4.59165 | + | 1.74131i | 0.309569 | + | 0.117399i | ||||
\(221\) | 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 | \(-0.381292\pi\) |
−0.624324 | + | 0.781165i | \(0.714626\pi\) | |||||||
\(224\) | 17.1962 | 1.14897 | ||||||||
\(225\) | −4.75039 | − | 14.2279i | −0.316693 | − | 0.948528i | ||||
\(226\) | −8.92820 | −0.593895 | ||||||||
\(227\) | 22.8541 | + | 13.1948i | 1.51688 | + | 0.875769i | 0.999803 | + | 0.0198279i | \(0.00631184\pi\) |
0.517073 | + | 0.855941i | \(0.327021\pi\) | |||||||
\(228\) | 2.12132 | − | 0.568406i | 0.140488 | − | 0.0376436i | ||||
\(229\) | 3.03590 | + | 5.25833i | 0.200618 | + | 0.347480i | 0.948728 | − | 0.316095i | \(-0.102372\pi\) |
−0.748110 | + | 0.663575i | \(0.769038\pi\) | |||||||
\(230\) | −0.560220 | − | 0.212455i | −0.0369398 | − | 0.0140089i | ||||
\(231\) | 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 | 0.850625 | − | 0.525773i | \(-0.176224\pi\) |
−0.880645 | + | 0.473776i | \(0.842891\pi\) | |||||||
\(240\) | −3.91686 | − | 8.70260i | −0.252832 | − | 0.561750i | ||||
\(241\) | −4.86603 | + | 8.42820i | −0.313448 | + | 0.542908i | −0.979106 | − | 0.203348i | \(-0.934818\pi\) |
0.665658 | + | 0.746257i | \(0.268151\pi\) | |||||||
\(242\) | 4.86181i | 0.312529i | ||||||||
\(243\) | −15.0573 | + | 4.03459i | −0.965926 | + | 0.258819i | ||||
\(244\) | −11.5359 | −0.738510 | ||||||||
\(245\) | 1.50524 | + | 9.26136i | 0.0961664 | + | 0.591686i | ||||
\(246\) | 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 | ||||
\(250\) | −0.232806 | + | 5.78269i | −0.0147240 | + | 0.365729i | ||||
\(251\) | −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 | ||||
\(255\) | −16.5858 | − | 11.9482i | −1.03864 | − | 0.748223i | ||||
\(256\) | 0.696152 | + | 1.20577i | 0.0435095 | + | 0.0753607i | ||||
\(257\) | −14.5211 | + | 8.38375i | −0.905800 | + | 0.522964i | −0.879077 | − | 0.476679i | \(-0.841840\pi\) |
−0.0267223 | + | 0.999643i | \(0.508507\pi\) | |||||||
\(258\) | 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 | \(-0.567527\pi\) |
−0.951888 | + | 0.306446i | \(0.900860\pi\) | |||||||
\(264\) | −3.00000 | + | 3.00000i | −0.184637 | + | 0.184637i | ||||
\(265\) | −0.820863 | + | 2.16452i | −0.0504252 | + | 0.132966i | ||||
\(266\) | −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 | \(0.566506\pi\) | |||||||
\(270\) | 5.98396 | + | 0.604502i | 0.364172 | + | 0.0367888i | ||||
\(271\) | 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 | ||||
\(275\) | −6.01343 | + | 2.00775i | −0.362623 | + | 0.121072i | ||||
\(276\) | −1.09808 | + | 1.09808i | −0.0660964 | + | 0.0660964i | ||||
\(277\) | −10.6066 | − | 6.12372i | −0.637289 | − | 0.367939i | 0.146281 | − | 0.989243i | \(-0.453270\pi\) |
−0.783569 | + | 0.621304i | \(0.786603\pi\) | |||||||
\(278\) | − | 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 | −0.405864 | − | 0.913934i | \(-0.633029\pi\) |
0.994422 | − | 0.105478i | \(-0.0336374\pi\) | |||||||
\(282\) | −2.56961 | + | 0.688524i | −0.153018 | + | 0.0410010i | ||||
\(283\) | 14.4889 | − | 8.36516i | 0.861275 | − | 0.497257i | −0.00316407 | − | 0.999995i | \(-0.501007\pi\) |
0.864439 | + | 0.502738i | \(0.167674\pi\) | |||||||
\(284\) | −12.2942 | − | 21.2942i | −0.729528 | − | 1.26358i | ||||
\(285\) | −1.65722 | + | 2.30046i | −0.0981652 | + | 0.136267i | ||||
\(286\) | −0.803848 | + | 1.39230i | −0.0475325 | + | 0.0823287i | ||||
\(287\) | 25.8719i | 1.52717i | ||||||||
\(288\) | 15.4176 | 0.908494 | ||||||||
\(289\) | −10.8564 | −0.638612 | ||||||||
\(290\) | −0.530228 | + | 0.0861776i | −0.0311361 | + | 0.00506052i | ||||
\(291\) | −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 | \(-0.534972\pi\) |
0.805980 | + | 0.591943i | \(0.201639\pi\) | |||||||
\(294\) | −3.63397 | − | 0.973721i | −0.211938 | − | 0.0567885i | ||||
\(295\) | 3.39496 | + | 20.8883i | 0.197662 | + | 1.21616i | ||||
\(296\) | −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 | ||||
\(300\) | 13.4197 | + | 6.70163i | 0.774786 | + | 0.386919i | ||||
\(301\) | 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 | ||||
\(310\) | 0.300457 | − | 0.792271i | 0.0170648 | − | 0.0449980i | ||||
\(311\) | 5.02628 | + | 8.70577i | 0.285014 | + | 0.493659i | 0.972613 | − | 0.232432i | \(-0.0746684\pi\) |
−0.687598 | + | 0.726091i | \(0.741335\pi\) | |||||||
\(312\) | 7.91688 | − | 2.12132i | 0.448205 | − | 0.120096i | ||||
\(313\) | 12.1595 | + | 7.02030i | 0.687296 | + | 0.396811i | 0.802598 | − | 0.596520i | \(-0.203450\pi\) |
−0.115302 | + | 0.993330i | \(0.536784\pi\) | |||||||
\(314\) | 6.67949 | 0.376946 | ||||||||
\(315\) | 3.60090 | + | 22.1554i | 0.202888 | + | 1.24831i | ||||
\(316\) | −12.9282 | −0.727268 | ||||||||
\(317\) | 3.49837 | + | 2.01978i | 0.196488 | + | 0.113442i | 0.595016 | − | 0.803714i | \(-0.297146\pi\) |
−0.398528 | + | 0.917156i | \(0.630479\pi\) | |||||||
\(318\) | −0.656339 | − | 0.656339i | −0.0368057 | − | 0.0368057i | ||||
\(319\) | −0.294229 | − | 0.509619i | −0.0164736 | − | 0.0285332i | ||||
\(320\) | 4.74176 | + | 1.79824i | 0.265072 | + | 0.100525i | ||||
\(321\) | 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 | ||||
\(330\) | 0.255493 | − | 2.52912i | 0.0140644 | − | 0.139223i | ||||
\(331\) | 4.19615 | − | 7.26795i | 0.230641 | − | 0.399483i | −0.727356 | − | 0.686261i | \(-0.759251\pi\) |
0.957997 | + | 0.286778i | \(0.0925842\pi\) | |||||||
\(332\) | 13.8004i | 0.757393i | ||||||||
\(333\) | −6.36396 | + | 11.0227i | −0.348743 | + | 0.604040i | ||||
\(334\) | 5.14359 | 0.281445 | ||||||||
\(335\) | −16.7491 | + | 2.72222i | −0.915100 | + | 0.148731i | ||||
\(336\) | 3.69615 | + | 13.7942i | 0.201642 | + | 0.752537i | ||||
\(337\) | 5.79555 | − | 3.34607i | 0.315704 | − | 0.182272i | −0.333772 | − | 0.942654i | \(-0.608322\pi\) |
0.649476 | + | 0.760382i | \(0.274988\pi\) | |||||||
\(338\) | −3.13801 | + | 1.81173i | −0.170685 | + | 0.0985453i | ||||
\(339\) | −7.73205 | − | 28.8564i | −0.419947 | − | 1.56726i | ||||
\(340\) | 20.1765 | − | 3.27928i | 1.09423 | − | 0.177844i | ||||
\(341\) | 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 | ||||
\(345\) | 0.201501 | − | 1.99465i | 0.0108484 | − | 0.107388i | ||||
\(346\) | 2.73205 | + | 4.73205i | 0.146876 | + | 0.254397i | ||||
\(347\) | −8.57321 | + | 4.94975i | −0.460234 | + | 0.265716i | −0.712143 | − | 0.702035i | \(-0.752275\pi\) |
0.251909 | + | 0.967751i | \(0.418942\pi\) | |||||||
\(348\) | −0.360355 | + | 1.34486i | −0.0193171 | + | 0.0720922i | ||||
\(349\) | 14.2321 | − | 24.6506i | 0.761824 | − | 1.31952i | −0.180085 | − | 0.983651i | \(-0.557637\pi\) |
0.941909 | − | 0.335867i | \(-0.109029\pi\) | |||||||
\(350\) | 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 | \(-0.151129\pi\) |
0.0487943 | + | 0.998809i | \(0.484462\pi\) | |||||||
\(354\) | −8.19615 | − | 2.19615i | −0.435621 | − | 0.116724i | ||||
\(355\) | 29.6809 | + | 11.2560i | 1.57530 | + | 0.597408i | ||||
\(356\) | 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 | ||||
\(365\) | 6.72792 | − | 17.7408i | 0.352156 | − | 0.928595i | ||||
\(366\) | 1.54552 | + | 5.76795i | 0.0807855 | + | 0.301496i | ||||
\(367\) | −29.9623 | − | 17.2987i | −1.56402 | − | 0.902986i | −0.996844 | − | 0.0793890i | \(-0.974703\pi\) |
−0.567175 | − | 0.823597i | \(-0.691964\pi\) | |||||||
\(368\) | − | 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 | \(-0.915922\pi\) |
−0.256557 | + | 0.966529i | \(0.582588\pi\) | |||||||
\(374\) | −1.73205 | − | 3.00000i | −0.0895622 | − | 0.155126i | ||||
\(375\) | −18.8915 | + | 4.25551i | −0.975555 | + | 0.219754i | ||||
\(376\) | 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 | \(0.666631\pi\) | |||||||
\(380\) | −0.454838 | − | 2.79850i | −0.0233327 | − | 0.143560i | ||||
\(381\) | −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 | \(-0.578888\pi\) |
0.716913 | + | 0.697163i | \(0.245555\pi\) | |||||||
\(384\) | −14.0263 | + | 14.0263i | −0.715776 | + | 0.715776i | ||||
\(385\) | 9.36396 | − | 1.52192i | 0.477232 | − | 0.0775641i | ||||
\(386\) | −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 | −0.864445 | − | 0.502728i | \(-0.832330\pi\) |
0.867597 | + | 0.497267i | \(0.165663\pi\) | |||||||
\(390\) | −2.87039 | + | 3.98451i | −0.145348 | + | 0.201763i | ||||
\(391\) | −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 | ||||
\(400\) | −11.6863 | + | 3.90182i | −0.584317 | + | 0.195091i | ||||
\(401\) | 8.53590 | + | 14.7846i | 0.426262 | + | 0.738308i | 0.996537 | − | 0.0831457i | \(-0.0264967\pi\) |
−0.570275 | + | 0.821454i | \(0.693163\pi\) | |||||||
\(402\) | 1.76097 | − | 6.57201i | 0.0878290 | − | 0.327782i | ||||
\(403\) | −1.55291 | − | 0.896575i | −0.0773562 | − | 0.0446616i | ||||
\(404\) | 16.3923 | 0.815548 | ||||||||
\(405\) | 3.22848 | + | 19.8640i | 0.160424 | + | 0.987048i | ||||
\(406\) | 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 | 0.585934 | − | 0.810358i | \(-0.300728\pi\) |
−0.994758 | + | 0.102255i | \(0.967394\pi\) | |||||||
\(410\) | 3.17348 | − | 8.36811i | 0.156727 | − | 0.413271i | ||||
\(411\) | 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 | 0.998976 | + | 0.0452423i | \(0.0144060\pi\) |
−0.460307 | + | 0.887760i | \(0.652261\pi\) | |||||||
\(420\) | −18.2124 | − | 13.1200i | −0.888676 | − | 0.640190i | ||||
\(421\) | 9.73205 | − | 16.8564i | 0.474311 | − | 0.821531i | −0.525256 | − | 0.850944i | \(-0.676031\pi\) |
0.999567 | + | 0.0294132i | \(0.00936385\pi\) | |||||||
\(422\) | − | 5.75839i | − | 0.280314i | ||||||
\(423\) | −4.45069 | − | 7.70882i | −0.216400 | − | 0.374816i | ||||
\(424\) | 2.00000 | 0.0971286 | ||||||||
\(425\) | −17.4990 | + | 19.7533i | −0.848827 | + | 0.958178i | ||||
\(426\) | −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 | ||||
\(430\) | −0.121873 | − | 0.749856i | −0.00587726 | − | 0.0361612i | ||||
\(431\) | −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 | ||||
\(435\) | −0.737721 | − | 1.63909i | −0.0353710 | − | 0.0785884i | ||||
\(436\) | 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 | 0.387930 | + | 0.921689i | \(0.373190\pi\) |
−0.992171 | + | 0.124887i | \(0.960143\pi\) | |||||||
\(440\) | 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 | \(-0.320820\pi\) |
−0.465577 | + | 0.885008i | \(0.654153\pi\) | |||||||
\(444\) | −3.29423 | − | 12.2942i | −0.156337 | − | 0.583458i | ||||
\(445\) | −28.0002 | − | 10.6187i | −1.32734 | − | 0.503373i | ||||
\(446\) | −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 | ||||
\(455\) | −17.1363 | − | 6.49867i | −0.803361 | − | 0.304663i | ||||
\(456\) | 2.36603 | + | 0.633975i | 0.110799 | + | 0.0296886i | ||||
\(457\) | 21.4770 | + | 12.3998i | 1.00465 | + | 0.580036i | 0.909621 | − | 0.415438i | \(-0.136372\pi\) |
0.0950304 | + | 0.995474i | \(0.469705\pi\) | |||||||
\(458\) | 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 | −0.0217547 | − | 0.999763i | \(-0.506925\pi\) |
0.876698 | − | 0.481042i | \(-0.159741\pi\) | |||||||
\(462\) | −0.984508 | + | 3.67423i | −0.0458035 | + | 0.170941i | ||||
\(463\) | 29.5462 | − | 17.0585i | 1.37313 | − | 0.792776i | 0.381807 | − | 0.924242i | \(-0.375302\pi\) |
0.991321 | + | 0.131467i | \(0.0419686\pi\) | |||||||
\(464\) | −0.571797 | − | 0.990381i | −0.0265450 | − | 0.0459773i | ||||
\(465\) | 2.82086 | + | 0.284965i | 0.130814 | + | 0.0132149i | ||||
\(466\) | −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 | ||||||||
\(470\) | 0.550957 | + | 3.38989i | 0.0254137 | + | 0.156364i | ||||
\(471\) | 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 | ||||
\(475\) | 2.73980 | + | 2.42713i | 0.125711 | + | 0.111364i | ||||
\(476\) | −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 | −0.814805 | − | 0.579735i | \(-0.803156\pi\) |
0.909468 | + | 0.415774i | \(0.136489\pi\) | |||||||
\(480\) | 2.00054 | − | 19.8033i | 0.0913118 | − | 0.903893i | ||||
\(481\) | −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 | ||||
\(490\) | −1.72223 | + | 4.54134i | −0.0778026 | + | 0.205157i | ||||
\(491\) | −16.8564 | − | 29.1962i | −0.760719 | − | 1.31760i | −0.942480 | − | 0.334261i | \(-0.891513\pi\) |
0.181761 | − | 0.983343i | \(-0.441820\pi\) | |||||||
\(492\) | −16.4022 | − | 16.4022i | −0.739466 | − | 0.739466i | ||||
\(493\) | −2.12132 | − | 1.22474i | −0.0955395 | − | 0.0551597i | ||||
\(494\) | 0.928203 | 0.0417618 | ||||||||
\(495\) | 8.39550 | − | 1.36451i | 0.377350 | − | 0.0613304i | ||||
\(496\) | 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 | 0.999212 | + | 0.0396914i | \(0.0126375\pi\) |
−0.465232 | + | 0.885189i | \(0.654029\pi\) | |||||||
\(500\) | 10.3492 | − | 16.3674i | 0.462832 | − | 0.731974i | ||||
\(501\) | 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 | 0.990112 | − | 0.140276i | \(-0.0447990\pi\) |
−0.616539 | + | 0.787324i | \(0.711466\pi\) | |||||||
\(510\) | −4.34278 | − | 9.64893i | −0.192302 | − | 0.427262i | ||||
\(511\) | −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 | ||||||||
\(515\) | −1.44861 | + | 0.235442i | −0.0638334 | + | 0.0103748i | ||||
\(516\) | −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 | ||||
\(520\) | −1.69748 | − | 10.4441i | −0.0744394 | − | 0.458006i | ||||
\(521\) | −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 | ||||
\(525\) | 28.9249 | − | 1.75039i | 1.26238 | − | 0.0763934i | ||||
\(526\) | −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 | ||||
\(535\) | 8.17917 | − | 21.5675i | 0.353616 | − | 0.932446i | ||||
\(536\) | 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 | ||||||||
\(540\) | −16.3288 | − | 11.7631i | −0.702680 | − | 0.506202i | ||||
\(541\) | 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 | ||||
\(545\) | −26.4697 | − | 10.0382i | −1.13384 | − | 0.429991i | ||||
\(546\) | 5.19615 | − | 5.19615i | 0.222375 | − | 0.222375i | ||||
\(547\) | 22.5581 | + | 13.0239i | 0.964513 | + | 0.556862i | 0.897559 | − | 0.440894i | \(-0.145339\pi\) |
0.0669541 | + | 0.997756i | \(0.478672\pi\) | |||||||
\(548\) | 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 | ||||
\(555\) | 13.3324 | + | 9.60450i | 0.565930 | + | 0.407688i | ||||
\(556\) | −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 | ||||||||
\(560\) | 18.1977 | − | 2.95766i | 0.768993 | − | 0.124984i | ||||
\(561\) | 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 | \(-0.728625\pi\) |
0.323052 | + | 0.946381i | \(0.395291\pi\) | |||||||
\(564\) | 8.59808 | + | 2.30385i | 0.362044 | + | 0.0970095i | ||||
\(565\) | −38.0681 | + | 6.18718i | −1.60154 | + | 0.260297i | ||||
\(566\) | 8.66025 | 0.364018 | ||||||||
\(567\) | − | 30.1146i | − | 1.26469i | ||||||
\(568\) | − | 27.4249i | − | 1.15072i | ||||||
\(569\) | 14.6603 | − | 25.3923i | 0.614590 | − | 1.06450i | −0.375867 | − | 0.926674i | \(-0.622655\pi\) |
0.990456 | − | 0.137827i | \(-0.0440118\pi\) | |||||||
\(570\) | −1.33831 | + | 0.602347i | −0.0560558 | + | 0.0252295i | ||||
\(571\) | 0.732051 | + | 1.26795i | 0.0306354 | + | 0.0530620i | 0.880937 | − | 0.473234i | \(-0.156914\pi\) |
−0.850301 | + | 0.526296i | \(0.823580\pi\) | |||||||
\(572\) | 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 | ||||
\(580\) | 1.68066 | + | 0.637365i | 0.0697856 | + | 0.0264652i | ||||
\(581\) | 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 | ||||||||
\(585\) | −15.3640 | − | 5.82655i | −0.635222 | − | 0.240898i | ||||
\(586\) | 7.12436 | 0.294304 | ||||||||
\(587\) | −4.21046 | − | 2.43091i | −0.173784 | − | 0.100334i | 0.410585 | − | 0.911822i | \(-0.365325\pi\) |
−0.584369 | + | 0.811488i | \(0.698658\pi\) | |||||||
\(588\) | 8.90138 | + | 8.90138i | 0.367087 | + | 0.367087i | ||||
\(589\) | −0.267949 | − | 0.464102i | −0.0110407 | − | 0.0191230i | ||||
\(590\) | −3.88437 | + | 10.2426i | −0.159917 | + | 0.421683i | ||||
\(591\) | 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 | 0.554371 | − | 0.832269i | \(-0.312959\pi\) |
−0.997952 | + | 0.0639650i | \(0.979625\pi\) | |||||||
\(600\) | 9.22508 | + | 13.9571i | 0.376612 | + | 0.569798i | ||||
\(601\) | 1.53590 | − | 2.66025i | 0.0626506 | − | 0.108514i | −0.832999 | − | 0.553275i | \(-0.813378\pi\) |
0.895649 | + | 0.444761i | \(0.146711\pi\) | |||||||
\(602\) | 1.13681i | 0.0463330i | ||||||||
\(603\) | 22.7661 | 0.927108 | ||||||||
\(604\) | 14.8756 | 0.605281 | ||||||||
\(605\) | 3.36920 | + | 20.7298i | 0.136978 | + | 0.842787i | ||||
\(606\) | −2.19615 | − | 8.19615i | −0.0892126 | − | 0.332946i | ||||
\(607\) | 18.1631 | − | 10.4865i | 0.737218 | − | 0.425633i | −0.0838387 | − | 0.996479i | \(-0.526718\pi\) |
0.821057 | + | 0.570846i | \(0.193385\pi\) | |||||||
\(608\) | −3.25813 | + | 1.88108i | −0.132135 | + | 0.0762880i | ||||
\(609\) | 0.696152 | + | 2.59808i | 0.0282095 | + | 0.105279i | ||||
\(610\) | 7.60922 | − | 1.23672i | 0.308088 | − | 0.0500734i | ||||
\(611\) | 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 | ||||
\(615\) | 29.7945 | + | 3.00985i | 1.20143 | + | 0.121369i | ||||
\(616\) | −4.09808 | − | 7.09808i | −0.165116 | − | 0.285990i | ||||
\(617\) | 15.5935 | − | 9.00292i | 0.627771 | − | 0.362444i | −0.152117 | − | 0.988362i | \(-0.548609\pi\) |
0.779888 | + | 0.625919i | \(0.215276\pi\) | |||||||
\(618\) | 0.152304 | − | 0.568406i | 0.00612656 | − | 0.0228646i | ||||
\(619\) | 15.0981 | − | 26.1506i | 0.606843 | − | 1.05108i | −0.384914 | − | 0.922952i | \(-0.625769\pi\) |
0.991757 | − | 0.128130i | \(-0.0408976\pi\) | |||||||
\(620\) | −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 | ||||
\(625\) | 3.01472 | + | 24.8176i | 0.120589 | + | 0.992703i | ||||
\(626\) | 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 | ||||||||
\(630\) | −4.11999 | + | 10.8640i | −0.164144 | + | 0.432831i | ||||
\(631\) | 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 | ||||
\(635\) | −13.7858 | + | 36.3515i | −0.547072 | + | 1.44257i | ||||
\(636\) | 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 | −0.965645 | − | 0.259865i | \(-0.916322\pi\) |
0.707872 | + | 0.706340i | \(0.249655\pi\) | |||||||
\(642\) | 6.53983 | + | 6.53983i | 0.258106 | + | 0.258106i | ||||
\(643\) | −11.2308 | + | 6.48408i | −0.442898 | + | 0.255707i | −0.704826 | − | 0.709380i | \(-0.748975\pi\) |
0.261928 | + | 0.965087i | \(0.415642\pi\) | |||||||
\(644\) | −1.50000 | − | 2.59808i | −0.0591083 | − | 0.102379i | ||||
\(645\) | 2.31803 | − | 1.04330i | 0.0912722 | − | 0.0410797i | ||||
\(646\) | −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 | ||||||||
\(650\) | 4.74548 | + | 4.20390i | 0.186133 | + | 0.164891i | ||||
\(651\) | −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 | 0.665861 | − | 0.746076i | \(-0.268064\pi\) |
0.979051 | − | 0.203615i | \(-0.0652691\pi\) | |||||||
\(654\) | 8.02628 | − | 8.02628i | 0.313852 | − | 0.313852i | ||||
\(655\) | −4.63760 | − | 28.5339i | −0.181206 | − | 1.11491i | ||||
\(656\) | 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 | −0.960304 | − | 0.278954i | \(-0.910012\pi\) |
0.721733 | + | 0.692171i | \(0.243346\pi\) | |||||||
\(660\) | −4.97166 | + | 6.90137i | −0.193521 | + | 0.268635i | ||||
\(661\) | −5.39230 | − | 9.33975i | −0.209736 | − | 0.363274i | 0.741895 | − | 0.670516i | \(-0.233927\pi\) |
−0.951631 | + | 0.307242i | \(0.900594\pi\) | |||||||
\(662\) | 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 | ||||
\(670\) | −8.21297 | − | 3.11465i | −0.317295 | − | 0.120329i | ||||
\(671\) | 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 | \(-0.621462\pi\) |
−0.989933 | + | 0.141538i | \(0.954795\pi\) | |||||||
\(674\) | 3.46410 | 0.133432 | ||||||||
\(675\) | 25.9333 | − | 1.56936i | 0.998174 | − | 0.0604047i | ||||
\(676\) | 12.1244 | 0.466321 | ||||||||
\(677\) | 3.19376 | + | 1.84392i | 0.122746 | + | 0.0708676i | 0.560116 | − | 0.828414i | \(-0.310757\pi\) |
−0.437370 | + | 0.899282i | \(0.644090\pi\) | |||||||
\(678\) | 4.00240 | − | 14.9372i | 0.153711 | − | 0.573659i | ||||
\(679\) | −25.3923 | − | 43.9808i | −0.974467 | − | 1.68783i | ||||
\(680\) | 21.3178 | + | 8.08446i | 0.817501 | + | 0.310025i | ||||
\(681\) | −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 | ||||
\(690\) | 0.606584 | − | 0.842026i | 0.0230923 | − | 0.0320554i | ||||
\(691\) | 14.1244 | − | 24.4641i | 0.537316 | − | 0.930658i | −0.461732 | − | 0.887020i | \(-0.652772\pi\) |
0.999047 | − | 0.0436386i | \(-0.0138950\pi\) | |||||||
\(692\) | − | 18.2832i | − | 0.695025i | ||||||
\(693\) | −12.7279 | −0.483494 | ||||||||
\(694\) | −5.12436 | −0.194518 | ||||||||
\(695\) | −2.86976 | − | 17.6569i | −0.108856 | − | 0.669763i | ||||
\(696\) | −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 | ||||
\(700\) | −19.2153 | + | 21.6907i | −0.726268 | + | 0.819831i | ||||
\(701\) | −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 | ||||
\(705\) | −10.4792 | + | 4.71645i | −0.394668 | + | 0.177632i | ||||
\(706\) | 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 | −0.759415 | − | 0.650607i | \(-0.774515\pi\) |
0.943149 | + | 0.332369i | \(0.107848\pi\) | |||||||
\(710\) | 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 | ||||
\(715\) | −2.46259 | + | 6.49357i | −0.0920957 | + | 0.242846i | ||||
\(716\) | −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 | \(0.771486\pi\) | |||||||
\(720\) | 16.3156 | − | 2.65176i | 0.608047 | − | 0.0988254i | ||||
\(721\) | 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 | ||||
\(725\) | −2.20107 | + | 0.734888i | −0.0817456 | + | 0.0272931i | ||||
\(726\) | −8.13397 | − | 2.17949i | −0.301880 | − | 0.0808885i | ||||
\(727\) | −1.19256 | − | 0.688524i | −0.0442296 | − | 0.0255360i | 0.477722 | − | 0.878511i | \(-0.341463\pi\) |
−0.521952 | + | 0.852975i | \(0.674796\pi\) | |||||||
\(728\) | 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 | \(-0.622291\pi\) |
0.615491 | + | 0.788144i | \(0.288958\pi\) | |||||||
\(734\) | −8.95448 | − | 15.5096i | −0.330516 | − | 0.572470i | ||||
\(735\) | −16.1693 | − | 1.63343i | −0.596415 | − | 0.0602501i | ||||
\(736\) | 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 | \(0.391699\pi\) | |||||||
\(740\) | −16.2189 | + | 2.63604i | −0.596217 | + | 0.0969027i | ||||
\(741\) | 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 | \(-0.871178\pi\) |
−0.118613 | + | 0.992941i | \(0.537845\pi\) | |||||||
\(744\) | −0.633975 | − | 2.36603i | −0.0232426 | − | 0.0867427i | ||||
\(745\) | 1.53100 | + | 9.41982i | 0.0560914 | + | 0.345115i | ||||
\(746\) | −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 | ||||
\(750\) | −9.57026 | − | 2.98180i | −0.349456 | − | 0.108880i | ||||
\(751\) | 12.2224 | + | 21.1699i | 0.446003 | + | 0.772500i | 0.998121 | − | 0.0612659i | \(-0.0195138\pi\) |
−0.552119 | + | 0.833766i | \(0.686180\pi\) | |||||||
\(752\) | −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 | ||||
\(760\) | 1.12132 | − | 2.95680i | 0.0406746 | − | 0.107254i | ||||
\(761\) | −7.96410 | − | 13.7942i | −0.288698 | − | 0.500040i | 0.684801 | − | 0.728730i | \(-0.259889\pi\) |
−0.973499 | + | 0.228690i | \(0.926556\pi\) | |||||||
\(762\) | −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 | ||||
\(768\) | −2.32937 | + | 0.624153i | −0.0840540 | + | 0.0225222i | ||||
\(769\) | 20.8205 | + | 36.0622i | 0.750807 | + | 1.30044i | 0.947432 | + | 0.319957i | \(0.103668\pi\) |
−0.196625 | + | 0.980479i | \(0.562998\pi\) | |||||||
\(770\) | 4.59165 | + | 1.74131i | 0.165472 | + | 0.0627526i | ||||
\(771\) | −7.51666 | − | 28.0526i | −0.270706 | − | 1.01029i | ||||
\(772\) | 5.64325 | + | 3.25813i | 0.203105 | + | 0.117263i | ||||
\(773\) | − | 2.07055i | − | 0.0744726i | −0.999306 | − | 0.0372363i | \(-0.988145\pi\) | ||
0.999306 | − | 0.0372363i | \(-0.0118554\pi\) | |||||||
\(774\) | 1.01924i | 0.0366357i | ||||||||
\(775\) | 0.732051 | − | 3.58630i | 0.0262960 | − | 0.128824i | ||||
\(776\) | 14.6603 | − | 25.3923i | 0.526272 | − | 0.911531i | ||||
\(777\) | −17.3867 | − | 17.3867i | −0.623743 | − | 0.623743i | ||||
\(778\) | 0.0557471 | − | 0.0321856i | 0.00199863 | − | 0.00115391i | ||||
\(779\) | −2.83013 | − | 4.90192i | −0.101400 | − | 0.175630i | ||||
\(780\) | 14.9840 | − | 6.74397i | 0.536512 | − | 0.241473i | ||||
\(781\) | −9.00000 | + | 15.5885i | −0.322045 | + | 0.557799i | ||||
\(782\) | − | 1.41421i | − | 0.0505722i | ||||||
\(783\) | 0.624153 | + | 2.32937i | 0.0223054 | + | 0.0832449i | ||||
\(784\) | −10.3397 | −0.369277 | ||||||||
\(785\) | 28.4800 | − | 4.62884i | 1.01650 | − | 0.165210i | ||||
\(786\) | 11.1962 | + | 3.00000i | 0.399354 | + | 0.107006i | ||||
\(787\) | −22.6138 | + | 13.0561i | −0.806095 | + | 0.465399i | −0.845598 | − | 0.533820i | \(-0.820756\pi\) |
0.0395027 | + | 0.999219i | \(0.487423\pi\) | |||||||
\(788\) | −23.9029 | + | 13.8004i | −0.851507 | + | 0.491618i | ||||
\(789\) | 26.6603 | − | 26.6603i | 0.949130 | − | 0.949130i | ||||
\(790\) | 8.52761 | − | 1.38599i | 0.303399 | − | 0.0493112i | ||||
\(791\) | 57.7128 | 2.05203 | ||||||||
\(792\) | −3.67423 | − | 6.36396i | −0.130558 | − | 0.226134i | ||||
\(793\) | − | 16.3142i | − | 0.579335i | ||||||
\(794\) | 7.60770 | − | 13.1769i | 0.269987 | − | 0.467631i | ||||
\(795\) | −3.25334 | − | 2.34366i | −0.115384 | − | 0.0831211i | ||||
\(796\) | −23.0263 | − | 39.8827i | −0.816145 | − | 1.41360i | ||||
\(797\) | −45.6202 | + | 26.3388i | −1.61595 | + | 0.932969i | −0.627996 | + | 0.778217i | \(0.716125\pi\) |
−0.987953 | + | 0.154752i | \(0.950542\pi\) | |||||||
\(798\) | 2.12132 | − | 0.568406i | 0.0750939 | − | 0.0201214i | ||||
\(799\) | −7.83013 | + | 13.5622i | −0.277010 | + | 0.479795i | ||||
\(800\) | −25.1769 | − | 5.13922i | −0.890138 | − | 0.181699i | ||||
\(801\) | 34.7942 | + | 20.0885i | 1.22939 | + | 0.709791i | ||||
\(802\) | 8.83701i | 0.312046i | ||||||||
\(803\) | 9.31749 | + | 5.37945i | 0.328807 | + | 0.189837i | ||||
\(804\) | −16.0981 | + | 16.0981i | −0.567735 | + | 0.567735i | ||||
\(805\) | 3.62132 | + | 1.37333i | 0.127635 | + | 0.0484036i | ||||
\(806\) | −0.464102 | − | 0.803848i | −0.0163473 | − | 0.0283143i | ||||
\(807\) | 3.05008 | − | 11.3831i | 0.107368 | − | 0.400703i | ||||
\(808\) | 15.8338 | + | 9.14162i | 0.557029 | + | 0.321601i | ||||
\(809\) | 25.1769 | 0.885173 | 0.442587 | − | 0.896726i | \(-0.354061\pi\) | ||||
0.442587 | + | 0.896726i | \(0.354061\pi\) | |||||||
\(810\) | −3.69389 | + | 9.74036i | −0.129790 | + | 0.342241i | ||||
\(811\) | −39.5692 | −1.38946 | −0.694732 | − | 0.719269i | \(-0.744477\pi\) | ||||
−0.694732 | + | 0.719269i | \(0.744477\pi\) | |||||||
\(812\) | −2.32937 | − | 1.34486i | −0.0817449 | − | 0.0471954i | ||||
\(813\) | −9.64566 | + | 35.9981i | −0.338288 | + | 1.26251i | ||||
\(814\) | 1.39230 | + | 2.41154i | 0.0488003 | + | 0.0845245i | ||||
\(815\) | 8.28914 | − | 21.8575i | 0.290356 | − | 0.765636i | ||||
\(816\) | 15.9282 | − | 15.9282i | 0.557599 | − | 0.557599i | ||||
\(817\) | −0.416102 | − | 0.240237i | −0.0145576 | − | 0.00840482i | ||||
\(818\) | − | 8.55961i | − | 0.299280i | ||||||
\(819\) | 21.2942 | + | 12.2942i | 0.744081 | + | 0.429595i | ||||
\(820\) | −23.1962 | + | 18.9396i | −0.810045 | + | 0.661399i | ||||
\(821\) | −14.7224 | + | 25.5000i | −0.513816 | + | 0.889956i | 0.486055 | + | 0.873928i | \(0.338435\pi\) |
−0.999872 | + | 0.0160280i | \(0.994898\pi\) | |||||||
\(822\) | 13.6245 | − | 3.65067i | 0.475209 | − | 0.127332i | ||||
\(823\) | −16.6102 | + | 9.58991i | −0.578995 | + | 0.334283i | −0.760734 | − | 0.649064i | \(-0.775161\pi\) |
0.181739 | + | 0.983347i | \(0.441828\pi\) | |||||||
\(824\) | 0.633975 | + | 1.09808i | 0.0220856 | + | 0.0382533i | ||||
\(825\) | −0.663289 | − | 10.9607i | −0.0230928 | − | 0.381603i | ||||
\(826\) | 8.19615 | − | 14.1962i | 0.285181 | − | 0.493947i | ||||
\(827\) | 23.8014i | 0.827656i | 0.910355 | + | 0.413828i | \(0.135808\pi\) | ||||
−0.910355 | + | 0.413828i | \(0.864192\pi\) | |||||||
\(828\) | −1.34486 | − | 2.32937i | −0.0467372 | − | 0.0809513i | ||||
\(829\) | −0.411543 | −0.0142935 | −0.00714673 | − | 0.999974i | \(-0.502275\pi\) | ||||
−0.00714673 | + | 0.999974i | \(0.502275\pi\) | |||||||
\(830\) | −1.47949 | − | 9.10289i | −0.0513537 | − | 0.315966i | ||||
\(831\) | 15.0000 | − | 15.0000i | 0.520344 | − | 0.520344i | ||||
\(832\) | 4.81105 | − | 2.77766i | 0.166793 | − | 0.0962980i | ||||
\(833\) | −19.1798 | + | 11.0735i | −0.664541 | + | 0.383673i | ||||
\(834\) | 6.92820 | + | 1.85641i | 0.239904 | + | 0.0642821i | ||||
\(835\) | 21.9313 | − | 3.56447i | 0.758963 | − | 0.123354i | ||||
\(836\) | 1.60770 | 0.0556033 | ||||||||
\(837\) | −3.67423 | − | 0.984508i | −0.127000 | − | 0.0340296i | ||||
\(838\) | 11.4152i | 0.394333i | ||||||||
\(839\) | 2.36603 | − | 4.09808i | 0.0816843 | − | 0.141481i | −0.822289 | − | 0.569070i | \(-0.807303\pi\) |
0.903974 | + | 0.427588i | \(0.140637\pi\) | |||||||
\(840\) | −10.2751 | − | 22.8296i | −0.354526 | − | 0.787696i | ||||
\(841\) | 14.3923 | + | 24.9282i | 0.496286 | + | 0.859593i | ||||
\(842\) | 8.72552 | − | 5.03768i | 0.300701 | − | 0.173610i | ||||
\(843\) | 24.1667 | + | 24.1667i | 0.832346 | + | 0.832346i | ||||
\(844\) | −9.63397 | + | 16.6865i | −0.331615 | + | 0.574374i | ||||
\(845\) | −12.1244 | + | 9.89949i | −0.417091 | + | 0.340553i | ||||
\(846\) | − | 4.60770i | − | 0.158416i | ||||||
\(847\) | − | 31.4273i | − | 1.07985i | ||||||
\(848\) | −2.20925 | − | 1.27551i | −0.0758661 | − | 0.0438013i | ||||
\(849\) | 7.50000 | + | 27.9904i | 0.257399 | + | 0.960627i | ||||
\(850\) | −12.9571 | + | 4.32611i | −0.444426 | + | 0.148384i | ||||
\(851\) | 1.09808 | + | 1.90192i | 0.0376416 | + | 0.0651971i | ||||
\(852\) | 41.1373 | − | 11.0227i | 1.40934 | − | 0.377632i | ||||
\(853\) | 37.6154 | + | 21.7172i | 1.28793 | + | 0.743584i | 0.978284 | − | 0.207269i | \(-0.0664576\pi\) |
0.309641 | + | 0.950853i | \(0.399791\pi\) | |||||||
\(854\) | −11.5359 | −0.394750 | ||||||||
\(855\) | −3.10583 | − | 3.80385i | −0.106217 | − | 0.130089i | ||||
\(856\) | −19.9282 | −0.681132 | ||||||||
\(857\) | −11.9193 | − | 6.88160i | −0.407155 | − | 0.235071i | 0.282412 | − | 0.959293i | \(-0.408866\pi\) |
−0.689567 | + | 0.724222i | \(0.742199\pi\) | |||||||
\(858\) | −1.96902 | − | 1.96902i | −0.0672211 | − | 0.0672211i | ||||
\(859\) | 18.2224 | + | 31.5622i | 0.621741 | + | 1.07689i | 0.989161 | + | 0.146832i | \(0.0469078\pi\) |
−0.367420 | + | 0.930055i | \(0.619759\pi\) | |||||||
\(860\) | −0.901371 | + | 2.37681i | −0.0307365 | + | 0.0810487i | ||||
\(861\) | −43.2846 | − | 11.5981i | −1.47514 | − | 0.395261i | ||||
\(862\) | −2.68973 | − | 1.55291i | −0.0916124 | − | 0.0528925i | ||||
\(863\) | − | 44.9131i | − | 1.52886i | −0.644708 | − | 0.764429i | \(-0.723021\pi\) | ||
0.644708 | − | 0.764429i | \(-0.276979\pi\) | |||||||
\(864\) | −6.91154 | + | 25.7942i | −0.235135 | + | 0.877537i | ||||
\(865\) | 14.9282 | + | 18.2832i | 0.507574 | + | 0.621649i | ||||
\(866\) | −3.50962 | + | 6.07884i | −0.119262 | + | 0.206567i | ||||
\(867\) | 4.86679 | − | 18.1631i | 0.165285 | − | 0.616852i | ||||
\(868\) | 3.67423 | − | 2.12132i | 0.124712 | − | 0.0720023i | ||||
\(869\) | 4.73205 | + | 8.19615i | 0.160524 | + | 0.278035i | ||||
\(870\) | 0.0935168 | − | 0.925721i | 0.00317052 | − | 0.0313849i | ||||
\(871\) | −9.29423 | + | 16.0981i | −0.314923 | + | 0.545463i | ||||
\(872\) | 24.4577i | 0.828243i | ||||||||
\(873\) | −22.7661 | − | 39.4321i | −0.770516 | − | 1.33457i | ||||
\(874\) | −0.196152 | −0.00663495 | ||||||||
\(875\) | 1.50488 | − | 37.3799i | 0.0508744 | − | 1.26367i | ||||
\(876\) | −6.58846 | − | 24.5885i | −0.222603 | − | 0.830767i | ||||
\(877\) | −25.3035 | + | 14.6090i | −0.854440 | + | 0.493311i | −0.862146 | − | 0.506659i | \(-0.830880\pi\) |
0.00770656 | + | 0.999970i | \(0.497547\pi\) | |||||||
\(878\) | −11.3509 | + | 6.55343i | −0.383073 | + | 0.221168i | ||||
\(879\) | 6.16987 | + | 23.0263i | 0.208105 | + | 0.776657i | ||||
\(880\) | −1.12077 | − | 6.89579i | −0.0377811 | − | 0.232457i | ||||
\(881\) | −39.5885 | −1.33377 | −0.666885 | − | 0.745161i | \(-0.732373\pi\) | ||||
−0.666885 | + | 0.745161i | \(0.732373\pi\) | |||||||
\(882\) | 3.25813 | − | 5.64325i | 0.109707 | − | 0.190018i | ||||
\(883\) | − | 54.4336i | − | 1.83184i | −0.401364 | − | 0.915919i | \(-0.631464\pi\) | ||
0.401364 | − | 0.915919i | \(-0.368536\pi\) | |||||||
\(884\) | 11.1962 | − | 19.3923i | 0.376567 | − | 0.652234i | ||||
\(885\) | −36.4687 | − | 3.68409i | −1.22588 | − | 0.123839i | ||||
\(886\) | 0.428203 | + | 0.741670i | 0.0143858 | + | 0.0249169i | ||||
\(887\) | −7.43640 | + | 4.29341i | −0.249690 | + | 0.144159i | −0.619622 | − | 0.784900i | \(-0.712714\pi\) |
0.369932 | + | 0.929059i | \(0.379381\pi\) | |||||||
\(888\) | 3.67423 | − | 13.7124i | 0.123299 | − | 0.460159i | ||||
\(889\) | 29.0885 | − | 50.3827i | 0.975596 | − | 1.68978i | ||||
\(890\) | −9.80385 | − | 12.0072i | −0.328626 | − | 0.402483i | ||||
\(891\) | −11.4115 | −0.382301 | ||||||||
\(892\) | 7.76457i | 0.259977i | ||||||||
\(893\) | 1.88108 | + | 1.08604i | 0.0629481 | + | 0.0363431i | ||||
\(894\) | −3.69615 | − | 0.990381i | −0.123618 | − | 0.0331233i | ||||
\(895\) | 13.7750 | + | 5.22394i | 0.460446 | + | 0.174617i | ||||
\(896\) | −19.1603 | − | 33.1865i | −0.640099 | − | 1.10868i | ||||
\(897\) | −1.55291 | − | 1.55291i | −0.0518503 | − | 0.0518503i | ||||
\(898\) | 5.37945 | + | 3.10583i | 0.179515 | + | 0.103643i | ||||
\(899\) | 0.339746 | 0.0113312 | ||||||||
\(900\) | −17.2279 | + | 19.4473i | −0.574264 | + | 0.648244i | ||||
\(901\) | −5.46410 | −0.182036 | ||||||||
\(902\) | 4.39494 | + | 2.53742i | 0.146336 | + | 0.0844869i | ||||
\(903\) | −3.67423 | + | 0.984508i | −0.122271 | + | 0.0327624i | ||||
\(904\) | 16.6603 | + | 28.8564i | 0.554112 | + | 0.959750i | ||||
\(905\) | 3.21121 | + | 1.21780i | 0.106744 | + | 0.0404812i | ||||
\(906\) | −1.99296 | − | 7.43782i | −0.0662116 | − | 0.247105i | ||||
\(907\) | −9.98245 | − | 5.76337i | −0.331462 | − | 0.191370i | 0.325028 | − | 0.945704i | \(-0.394626\pi\) |
−0.656490 | + | 0.754335i | \(0.727960\pi\) | |||||||
\(908\) | − | 45.7081i | − | 1.51688i | ||||||
\(909\) | 24.5885 | − | 14.1962i | 0.815548 | − | 0.470857i | ||||
\(910\) | −6.00000 | − | 7.34847i | −0.198898 | − | 0.243599i | ||||
\(911\) | −24.9282 | + | 43.1769i | −0.825908 | + | 1.43051i | 0.0753150 | + | 0.997160i | \(0.476004\pi\) |
−0.901223 | + | 0.433355i | \(0.857330\pi\) | |||||||
\(912\) | −2.20925 | − | 2.20925i | −0.0731557 | − | 0.0731557i | ||||
\(913\) | 8.74908 | − | 5.05128i | 0.289552 | − | 0.167173i | ||||
\(914\) | 6.41858 | + | 11.1173i | 0.212308 | + | 0.367728i | ||||
\(915\) | 10.5869 | + | 23.5224i | 0.349993 | + | 0.777625i | ||||
\(916\) | 5.25833 | − | 9.10770i | 0.173740 | − | 0.300927i | ||||
\(917\) | 43.2586i | 1.42853i | ||||||||
\(918\) | 3.67423 | + | 13.7124i | 0.121268 | + | 0.452578i | ||||
\(919\) | −47.1769 | −1.55622 | −0.778111 | − | 0.628126i | \(-0.783822\pi\) | ||||
−0.778111 | + | 0.628126i | \(0.783822\pi\) | |||||||
\(920\) | 0.358719 | + | 2.20711i | 0.0118266 | + | 0.0727662i | ||||
\(921\) | 6.40192 | + | 1.71539i | 0.210951 | + | 0.0565240i | ||||
\(922\) | 16.4579 | − | 9.50198i | 0.542012 | − | 0.312931i | ||||
\(923\) | 30.1146 | − | 17.3867i | 0.991234 | − | 0.572289i | ||||
\(924\) | 9.00000 | − | 9.00000i | 0.296078 | − | 0.296078i | ||||
\(925\) | 14.0665 | − | 15.8787i | 0.462505 | − | 0.522088i | ||||
\(926\) | 17.6603 | 0.580352 | ||||||||
\(927\) | 1.96902 | 0.0646710 | ||||||||
\(928\) | − | 2.38512i | − | 0.0782954i | ||||||
\(929\) | −1.73205 | + | 3.00000i | −0.0568267 | + | 0.0984268i | −0.893039 | − | 0.449979i | \(-0.851432\pi\) |
0.836213 | + | 0.548405i | \(0.184765\pi\) | |||||||
\(930\) | 1.19080 | + | 0.857840i | 0.0390480 | + | 0.0281297i | ||||
\(931\) | 1.53590 | + | 2.66025i | 0.0503370 | + | 0.0871863i | ||||
\(932\) | 10.6066 | − | 6.12372i | 0.347431 | − | 0.200589i | ||||
\(933\) | −16.8183 | + | 4.50644i | −0.550605 | + | 0.147534i | ||||
\(934\) | −6.56218 | + | 11.3660i | −0.214721 | + | 0.371908i | ||||
\(935\) | −9.46410 | − | 11.5911i | −0.309509 | − | 0.379070i | ||||
\(936\) | 14.1962i | 0.464016i | ||||||||
\(937\) | − | 28.5617i | − | 0.933069i | −0.884503 | − | 0.466535i | \(-0.845502\pi\) | ||
0.884503 | − | 0.466535i | \(-0.154498\pi\) | |||||||
\(938\) | 11.3831 | + | 6.57201i | 0.371670 | + | 0.214584i | ||||
\(939\) | −17.1962 | + | 17.1962i | −0.561175 | + | 0.561175i | ||||
\(940\) | 4.07485 | − | 10.7449i | 0.132907 | − | 0.350461i | ||||
\(941\) | −13.1603 | − | 22.7942i | −0.429012 | − | 0.743071i | 0.567774 | − | 0.823185i | \(-0.307805\pi\) |
−0.996786 | + | 0.0801141i | \(0.974472\pi\) | |||||||
\(942\) | −2.99433 | + | 11.1750i | −0.0975607 | + | 0.364101i | ||||
\(943\) | 3.46618 | + | 2.00120i | 0.112874 | + | 0.0651681i | ||||
\(944\) | −23.3205 | −0.759018 | ||||||||
\(945\) | −38.6809 | − | 3.90756i | −1.25829 | − | 0.127113i | ||||
\(946\) | 0.430781 | 0.0140059 | ||||||||
\(947\) | 4.12252 | + | 2.38014i | 0.133964 | + | 0.0773441i | 0.565484 | − | 0.824759i | \(-0.308689\pi\) |
−0.431520 | + | 0.902103i | \(0.642023\pi\) | |||||||
\(948\) | 5.79555 | − | 21.6293i | 0.188231 | − | 0.702487i | ||||
\(949\) | −10.3923 | − | 18.0000i | −0.337348 | − | 0.584305i | ||||
\(950\) | 0.600034 | + | 1.79716i | 0.0194677 | + | 0.0583077i | ||||
\(951\) | −4.94744 | + | 4.94744i | −0.160432 | + | 0.160432i | ||||
\(952\) | −29.5462 | − | 17.0585i | −0.957597 | − | 0.552869i | ||||
\(953\) | 51.1619i | 1.65730i | 0.559770 | + | 0.828648i | \(0.310889\pi\) | ||||
−0.559770 | + | 0.828648i | \(0.689111\pi\) | |||||||
\(954\) | 1.39230 | − | 0.803848i | 0.0450775 | − | 0.0260255i | ||||
\(955\) | −30.5885 | + | 24.9754i | −0.989819 | + | 0.808184i | ||||
\(956\) | −0.803848 | + | 1.39230i | −0.0259983 | + | 0.0450304i | ||||
\(957\) | 0.984508 | − | 0.263798i | 0.0318246 | − | 0.00852738i | ||||
\(958\) | 1.85752 | − | 1.07244i | 0.0600138 | − | 0.0346490i | ||||
\(959\) | 26.3205 | + | 45.5885i | 0.849934 | + | 1.47213i | ||||
\(960\) | −5.13419 | + | 7.12699i | −0.165705 | + | 0.230023i | ||||
\(961\) | 15.2321 | − | 26.3827i | 0.491356 | − | 0.851054i | ||||
\(962\) | − | 5.37945i | − | 0.173441i | ||||||
\(963\) | −15.4734 | + | 26.8007i | −0.498623 | + | 0.863641i | ||||
\(964\) | 16.8564 | 0.542908 | ||||||||
\(965\) | −8.30351 | + | 1.34956i | −0.267299 | + | 0.0434440i | ||||
\(966\) | −1.09808 | + | 1.09808i | −0.0353300 | + | 0.0353300i | ||||
\(967\) | −48.4300 | + | 27.9611i | −1.55740 | + | 0.899168i | −0.559900 | + | 0.828560i | \(0.689160\pi\) |
−0.997504 | + | 0.0706076i | \(0.977506\pi\) | |||||||
\(968\) | 15.7136 | − | 9.07227i | 0.505055 | − | 0.291594i | ||||
\(969\) | −6.46410 | − | 1.73205i | −0.207657 | − | 0.0556415i | ||||
\(970\) | 2.81825 | + | 17.3399i | 0.0904884 | + | 0.556752i | ||||
\(971\) | 38.1962 | 1.22577 | 0.612886 | − | 0.790171i | \(-0.290008\pi\) | ||||
0.612886 | + | 0.790171i | \(0.290008\pi\) | |||||||
\(972\) | 19.0919 | + | 19.0919i | 0.612372 | + | 0.612372i | ||||
\(973\) | 26.7685i | 0.858159i | ||||||||
\(974\) | −4.09808 | + | 7.09808i | −0.131311 | + | 0.227437i | ||||
\(975\) | −9.47753 | + | 18.9783i | −0.303524 | + | 0.607793i | ||||
\(976\) | 8.20577 | + | 14.2128i | 0.262660 | + | 0.454941i | ||||
\(977\) | 13.4722 | − | 7.77817i | 0.431014 | − | 0.248846i | −0.268765 | − | 0.963206i | \(-0.586615\pi\) |
0.699778 | + | 0.714360i | \(0.253282\pi\) | |||||||
\(978\) | 6.62776 | + | 6.62776i | 0.211932 | + | 0.211932i | ||||
\(979\) | 8.49038 | − | 14.7058i | 0.271354 | − | 0.469998i | ||||
\(980\) | 12.5885 | − | 10.2784i | 0.402124 | − | 0.328332i | ||||
\(981\) | 32.8923 | + | 18.9904i | 1.05017 | + | 0.606316i | ||||
\(982\) | − | 17.4510i | − | 0.556885i | ||||||
\(983\) | −28.9456 | − | 16.7117i | −0.923221 | − | 0.533022i | −0.0385597 | − | 0.999256i | \(-0.512277\pi\) |
−0.884661 | + | 0.466234i | \(0.845610\pi\) | |||||||
\(984\) | −6.69615 | − | 24.9904i | −0.213466 | − | 0.796664i | ||||
\(985\) | 12.6350 | − | 33.3170i | 0.402584 | − | 1.06157i | ||||
\(986\) | −0.633975 | − | 1.09808i | −0.0201899 | − | 0.0349699i | ||||
\(987\) | 16.6102 | − | 4.45069i | 0.528709 | − | 0.141667i | ||||
\(988\) | −2.68973 | − | 1.55291i | −0.0855716 | − | 0.0494048i | ||||
\(989\) | 0.339746 | 0.0108033 | ||||||||
\(990\) | 4.11676 | + | 1.56122i | 0.130839 | + | 0.0496188i | ||||
\(991\) | 38.9282 | 1.23660 | 0.618298 | − | 0.785944i | \(-0.287823\pi\) | ||||
0.618298 | + | 0.785944i | \(0.287823\pi\) | |||||||
\(992\) | 3.25813 | + | 1.88108i | 0.103446 | + | 0.0597245i | ||||
\(993\) | 10.2784 | + | 10.2784i | 0.326176 | + | 0.326176i | ||||
\(994\) | −12.2942 | − | 21.2942i | −0.389949 | − | 0.675412i | ||||
\(995\) | 55.5904 | + | 21.0818i | 1.76233 | + | 0.668338i | ||||
\(996\) | −23.0885 | − | 6.18653i | −0.731586 | − | 0.196028i | ||||
\(997\) | −8.90138 | − | 5.13922i | −0.281910 | − | 0.162761i | 0.352378 | − | 0.935858i | \(-0.385373\pi\) |
−0.634288 | + | 0.773097i | \(0.718706\pi\) | |||||||
\(998\) | 12.3490i | 0.390900i | ||||||||
\(999\) | −15.5885 | − | 15.5885i | −0.493197 | − | 0.493197i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))