Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [625,2,Mod(24,625)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(625, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("625.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 625 = 5^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 625.h (of order \(50\), degree \(20\), not 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: | \(4.99065012633\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | no (minimal twist has level 125) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 274.6 | ||
Character | \(\chi\) | \(=\) | 625.274 |
Dual form | 625.2.h.a.349.6 |
$q$-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 \(\left(\mathbb{Z}/625\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{21}{50}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0406317 | − | 0.158250i | −0.0287310 | − | 0.111900i | 0.952600 | − | 0.304225i | \(-0.0983973\pi\) |
−0.981331 | + | 0.192325i | \(0.938397\pi\) | |||||||
\(3\) | −1.60542 | + | 0.306251i | −0.926891 | + | 0.176814i | −0.628660 | − | 0.777680i | \(-0.716396\pi\) |
−0.298230 | + | 0.954494i | \(0.596396\pi\) | |||||||
\(4\) | 1.72922 | − | 0.950647i | 0.864611 | − | 0.475324i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.113695 | + | 0.241615i | 0.0464159 | + | 0.0986388i | ||||
\(7\) | −0.875585 | + | 1.20514i | −0.330940 | + | 0.455500i | −0.941768 | − | 0.336264i | \(-0.890837\pi\) |
0.610828 | + | 0.791763i | \(0.290837\pi\) | |||||||
\(8\) | −0.444388 | − | 0.473226i | −0.157115 | − | 0.167310i | ||||
\(9\) | −0.305740 | + | 0.121051i | −0.101913 | + | 0.0403504i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.14806 | + | 1.06504i | −1.25069 | + | 0.321122i | −0.815256 | − | 0.579101i | \(-0.803404\pi\) |
−0.435430 | + | 0.900223i | \(0.643404\pi\) | |||||||
\(12\) | −2.48499 | + | 2.05576i | −0.717356 | + | 0.593448i | ||||
\(13\) | −1.43255 | − | 3.61820i | −0.397317 | − | 1.00351i | −0.981427 | − | 0.191834i | \(-0.938556\pi\) |
0.584110 | − | 0.811674i | \(-0.301444\pi\) | |||||||
\(14\) | 0.226290 | + | 0.0895946i | 0.0604786 | + | 0.0239452i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.05787 | − | 3.24268i | 0.514467 | − | 0.810671i | ||||
\(17\) | −1.44547 | + | 2.62930i | −0.350578 | + | 0.637699i | −0.991529 | − | 0.129883i | \(-0.958540\pi\) |
0.640952 | + | 0.767581i | \(0.278540\pi\) | |||||||
\(18\) | 0.0315791 | + | 0.0434649i | 0.00744327 | + | 0.0102448i | ||||
\(19\) | −0.997848 | + | 5.23090i | −0.228922 | + | 1.20005i | 0.663265 | + | 0.748385i | \(0.269170\pi\) |
−0.892187 | + | 0.451667i | \(0.850830\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.03661 | − | 2.20291i | 0.226207 | − | 0.480713i | ||||
\(22\) | 0.337085 | + | 0.613156i | 0.0718668 | + | 0.130725i | ||||
\(23\) | −2.26254 | − | 0.142347i | −0.471773 | − | 0.0296814i | −0.174875 | − | 0.984591i | \(-0.555952\pi\) |
−0.296898 | + | 0.954909i | \(0.595952\pi\) | |||||||
\(24\) | 0.858356 | + | 0.623632i | 0.175211 | + | 0.127298i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.514374 | + | 0.373715i | −0.100877 | + | 0.0732915i | ||||
\(27\) | 4.59360 | − | 2.91519i | 0.884040 | − | 0.561029i | ||||
\(28\) | −0.368418 | + | 2.91633i | −0.0696244 | + | 0.551134i | ||||
\(29\) | −4.03691 | − | 0.509980i | −0.749635 | − | 0.0947009i | −0.258773 | − | 0.965938i | \(-0.583318\pi\) |
−0.490862 | + | 0.871237i | \(0.663318\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.84067 | − | 4.31044i | −1.40823 | − | 0.774178i | −0.417322 | − | 0.908758i | \(-0.637031\pi\) |
−0.990903 | + | 0.134580i | \(0.957031\pi\) | |||||||
\(32\) | −1.83157 | − | 0.595112i | −0.323778 | − | 0.105202i | ||||
\(33\) | 6.33321 | − | 2.98018i | 1.10247 | − | 0.518783i | ||||
\(34\) | 0.474819 | + | 0.121913i | 0.0814308 | + | 0.0209079i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.413616 | + | 0.499975i | −0.0689359 | + | 0.0833292i | ||||
\(37\) | 5.64154 | + | 3.58023i | 0.927463 | + | 0.588586i | 0.911506 | − | 0.411287i | \(-0.134920\pi\) |
0.0159571 | + | 0.999873i | \(0.494920\pi\) | |||||||
\(38\) | 0.868336 | − | 0.0546310i | 0.140863 | − | 0.00886233i | ||||
\(39\) | 3.40792 | + | 5.37002i | 0.545704 | + | 0.859892i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.106594 | − | 1.69427i | −0.0166473 | − | 0.264600i | −0.997543 | − | 0.0700639i | \(-0.977680\pi\) |
0.980895 | − | 0.194537i | \(-0.0623203\pi\) | |||||||
\(42\) | −0.390729 | − | 0.0745356i | −0.0602908 | − | 0.0115011i | ||||
\(43\) | −3.75815 | + | 1.22110i | −0.573113 | + | 0.186216i | −0.581213 | − | 0.813752i | \(-0.697422\pi\) |
0.00810001 | + | 0.999967i | \(0.497422\pi\) | |||||||
\(44\) | −6.16043 | + | 5.78503i | −0.928719 | + | 0.872126i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0694046 | + | 0.363831i | 0.0102331 | + | 0.0536440i | ||||
\(47\) | −8.41038 | + | 8.95615i | −1.22678 | + | 1.30639i | −0.289766 | + | 0.957097i | \(0.593578\pi\) |
−0.937014 | + | 0.349291i | \(0.886422\pi\) | |||||||
\(48\) | −2.31067 | + | 5.83610i | −0.333517 | + | 0.842368i | ||||
\(49\) | 1.47741 | + | 4.54699i | 0.211058 | + | 0.649570i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.51536 | − | 4.66381i | 0.212193 | − | 0.653064i | ||||
\(52\) | −5.91683 | − | 4.89482i | −0.820516 | − | 0.678790i | ||||
\(53\) | −8.78940 | − | 4.13598i | −1.20732 | − | 0.568120i | −0.286486 | − | 0.958084i | \(-0.592487\pi\) |
−0.920830 | + | 0.389964i | \(0.872487\pi\) | |||||||
\(54\) | −0.647976 | − | 0.608490i | −0.0881783 | − | 0.0828049i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.959402 | − | 0.121201i | 0.128206 | − | 0.0161961i | ||||
\(57\) | − | 8.70340i | − | 1.15279i | ||||||
\(58\) | 0.0833222 | + | 0.659563i | 0.0109407 | + | 0.0866048i | ||||
\(59\) | 2.23942 | + | 2.70700i | 0.291548 | + | 0.352421i | 0.895868 | − | 0.444321i | \(-0.146555\pi\) |
−0.604320 | + | 0.796742i | \(0.706555\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0370600 | − | 0.589052i | 0.00474505 | − | 0.0754204i | −0.994942 | − | 0.100456i | \(-0.967970\pi\) |
0.999687 | + | 0.0250355i | \(0.00796988\pi\) | |||||||
\(62\) | −0.363548 | + | 1.41593i | −0.0461707 | + | 0.179823i | ||||
\(63\) | 0.121818 | − | 0.474450i | 0.0153476 | − | 0.0597751i | ||||
\(64\) | 0.462543 | − | 7.35191i | 0.0578179 | − | 0.918989i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.728944 | − | 0.881141i | −0.0897268 | − | 0.108461i | ||||
\(67\) | 0.458471 | + | 3.62917i | 0.0560111 | + | 0.443374i | 0.995035 | + | 0.0995226i | \(0.0317316\pi\) |
−0.939024 | + | 0.343851i | \(0.888268\pi\) | |||||||
\(68\) | 5.92077i | 0.717999i | ||||||||
\(69\) | 3.67593 | − | 0.464378i | 0.442530 | − | 0.0559045i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.992574 | + | 0.932089i | 0.117797 | + | 0.110619i | 0.741207 | − | 0.671276i | \(-0.234253\pi\) |
−0.623411 | + | 0.781895i | \(0.714253\pi\) | |||||||
\(72\) | 0.193152 | + | 0.0908904i | 0.0227632 | + | 0.0107115i | ||||
\(73\) | −3.33869 | − | 2.76201i | −0.390765 | − | 0.323269i | 0.421208 | − | 0.906964i | \(-0.361606\pi\) |
−0.811973 | + | 0.583695i | \(0.801606\pi\) | |||||||
\(74\) | 0.337346 | − | 1.03825i | 0.0392157 | − | 0.120694i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.24724 | + | 9.99399i | 0.372484 | + | 1.14639i | ||||
\(77\) | 2.34845 | − | 5.93152i | 0.267631 | − | 0.675959i | ||||
\(78\) | 0.711337 | − | 0.757497i | 0.0805431 | − | 0.0857697i | ||||
\(79\) | −2.80389 | − | 14.6985i | −0.315463 | − | 1.65371i | −0.688011 | − | 0.725701i | \(-0.741516\pi\) |
0.372548 | − | 0.928013i | \(-0.378484\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.76277 | + | 5.41160i | −0.640308 | + | 0.601289i | ||||
\(82\) | −0.263787 | + | 0.0857097i | −0.0291304 | + | 0.00946505i | ||||
\(83\) | −2.85082 | − | 0.543823i | −0.312918 | − | 0.0596924i | 0.0285299 | − | 0.999593i | \(-0.490917\pi\) |
−0.341448 | + | 0.939901i | \(0.610917\pi\) | |||||||
\(84\) | −0.301661 | − | 4.79476i | −0.0329139 | − | 0.523151i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.345939 | + | 0.545113i | 0.0373036 | + | 0.0587810i | ||||
\(87\) | 6.63712 | − | 0.417572i | 0.711574 | − | 0.0447685i | ||||
\(88\) | 2.34735 | + | 1.48967i | 0.250228 | + | 0.158800i | ||||
\(89\) | 0.276132 | − | 0.333786i | 0.0292699 | − | 0.0353812i | −0.755675 | − | 0.654947i | \(-0.772691\pi\) |
0.784945 | + | 0.619565i | \(0.212691\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.61476 | + | 1.44162i | 0.588586 | + | 0.151123i | ||||
\(92\) | −4.04776 | + | 1.90473i | −0.422008 | + | 0.198582i | ||||
\(93\) | 13.9076 | + | 4.51887i | 1.44216 | + | 0.468585i | ||||
\(94\) | 1.75904 | + | 0.967041i | 0.181431 | + | 0.0997426i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.12269 | + | 0.394488i | 0.318708 | + | 0.0402622i | ||||
\(97\) | 1.52301 | − | 12.0559i | 0.154639 | − | 1.22409i | −0.703509 | − | 0.710687i | \(-0.748384\pi\) |
0.858147 | − | 0.513404i | \(-0.171616\pi\) | |||||||
\(98\) | 0.659533 | − | 0.418552i | 0.0666229 | − | 0.0422802i | ||||
\(99\) | 1.13930 | − | 0.827752i | 0.114504 | − | 0.0831922i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 11.0928 | + | 8.05937i | 1.10377 | + | 0.801937i | 0.981672 | − | 0.190580i | \(-0.0610370\pi\) |
0.122100 | + | 0.992518i | \(0.461037\pi\) | |||||||
\(102\) | −0.799621 | − | 0.0503079i | −0.0791742 | − | 0.00498122i | ||||
\(103\) | 0.304120 | + | 0.553192i | 0.0299658 | + | 0.0545077i | 0.890866 | − | 0.454267i | \(-0.150099\pi\) |
−0.860900 | + | 0.508774i | \(0.830099\pi\) | |||||||
\(104\) | −1.07562 | + | 2.28580i | −0.105473 | + | 0.224142i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.297390 | + | 1.55898i | −0.0288851 | + | 0.151421i | ||||
\(107\) | 6.29302 | + | 8.66160i | 0.608369 | + | 0.837348i | 0.996442 | − | 0.0842806i | \(-0.0268592\pi\) |
−0.388073 | + | 0.921629i | \(0.626859\pi\) | |||||||
\(108\) | 5.17204 | − | 9.40791i | 0.497680 | − | 0.905276i | ||||
\(109\) | 4.27860 | − | 6.74200i | 0.409816 | − | 0.645767i | −0.575243 | − | 0.817982i | \(-0.695093\pi\) |
0.985059 | + | 0.172216i | \(0.0550926\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.1535 | − | 4.02005i | −0.963727 | − | 0.381567i | ||||
\(112\) | 2.10604 | + | 5.31926i | 0.199003 | + | 0.502623i | ||||
\(113\) | 10.3271 | − | 8.54330i | 0.971489 | − | 0.803686i | −0.00905990 | − | 0.999959i | \(-0.502884\pi\) |
0.980549 | + | 0.196273i | \(0.0628839\pi\) | |||||||
\(114\) | −1.37731 | + | 0.353634i | −0.128997 | + | 0.0331209i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −7.46552 | + | 2.95581i | −0.693156 | + | 0.274440i | ||||
\(117\) | 0.875975 | + | 0.932818i | 0.0809839 | + | 0.0862391i | ||||
\(118\) | 0.337391 | − | 0.464379i | 0.0310594 | − | 0.0427496i | ||||
\(119\) | −1.90304 | − | 4.04417i | −0.174451 | − | 0.370728i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.43268 | − | 3.53640i | 0.584789 | − | 0.321490i | ||||
\(122\) | −0.0947234 | + | 0.0180695i | −0.00857585 | + | 0.00163593i | ||||
\(123\) | 0.690000 | + | 2.68737i | 0.0622152 | + | 0.242312i | ||||
\(124\) | −17.6560 | −1.58555 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.0800315 | −0.00712977 | ||||||||
\(127\) | 1.30444 | + | 5.08048i | 0.115751 | + | 0.450819i | 0.999865 | − | 0.0164521i | \(-0.00523709\pi\) |
−0.884114 | + | 0.467271i | \(0.845237\pi\) | |||||||
\(128\) | −4.96566 | + | 0.947250i | −0.438906 | + | 0.0837259i | ||||
\(129\) | 5.65946 | − | 3.11131i | 0.498287 | − | 0.273936i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.02713 | + | 12.8083i | 0.526593 | + | 1.11907i | 0.974376 | + | 0.224925i | \(0.0722137\pi\) |
−0.447783 | + | 0.894142i | \(0.647786\pi\) | |||||||
\(132\) | 8.11842 | − | 11.1740i | 0.706617 | − | 0.972576i | ||||
\(133\) | −5.43027 | − | 5.78265i | −0.470864 | − | 0.501419i | ||||
\(134\) | 0.555688 | − | 0.220013i | 0.0480042 | − | 0.0190062i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.88660 | − | 0.484397i | 0.161775 | − | 0.0415367i | ||||
\(137\) | 9.22019 | − | 7.62761i | 0.787734 | − | 0.651670i | −0.153984 | − | 0.988073i | \(-0.549210\pi\) |
0.941718 | + | 0.336403i | \(0.109210\pi\) | |||||||
\(138\) | −0.222847 | − | 0.562848i | −0.0189700 | − | 0.0479128i | ||||
\(139\) | 21.4738 | + | 8.50210i | 1.82139 | + | 0.721138i | 0.984893 | + | 0.173163i | \(0.0553989\pi\) |
0.836495 | + | 0.547975i | \(0.184601\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.7594 | − | 16.9541i | 0.906104 | − | 1.42779i | ||||
\(142\) | 0.107173 | − | 0.194947i | 0.00899378 | − | 0.0163596i | ||||
\(143\) | 9.79582 | + | 13.4828i | 0.819167 | + | 1.12749i | ||||
\(144\) | −0.236643 | + | 1.24053i | −0.0197202 | + | 0.103377i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.301431 | + | 0.640574i | −0.0249466 | + | 0.0530143i | ||||
\(147\) | −3.76438 | − | 6.84738i | −0.310481 | − | 0.564763i | ||||
\(148\) | 13.1590 | + | 0.827894i | 1.08166 | + | 0.0680525i | ||||
\(149\) | −17.8909 | − | 12.9985i | −1.46568 | − | 1.06488i | −0.981838 | − | 0.189719i | \(-0.939242\pi\) |
−0.483839 | − | 0.875157i | \(-0.660758\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.95732 | + | 2.14862i | −0.240663 | + | 0.174852i | −0.701579 | − | 0.712592i | \(-0.747521\pi\) |
0.460915 | + | 0.887444i | \(0.347521\pi\) | |||||||
\(152\) | 2.91883 | − | 1.85234i | 0.236748 | − | 0.150245i | ||||
\(153\) | 0.123659 | − | 0.978858i | 0.00999720 | − | 0.0791360i | ||||
\(154\) | −1.03409 | − | 0.130635i | −0.0833290 | − | 0.0105269i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 10.9980 | + | 6.04623i | 0.880548 | + | 0.484085i | ||||
\(157\) | 10.9673 | + | 3.56350i | 0.875288 | + | 0.284398i | 0.712000 | − | 0.702180i | \(-0.247790\pi\) |
0.163289 | + | 0.986578i | \(0.447790\pi\) | |||||||
\(158\) | −2.21212 | + | 1.04094i | −0.175987 | + | 0.0828130i | ||||
\(159\) | 15.3773 | + | 3.94823i | 1.21950 | + | 0.313115i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.15260 | − | 2.60204i | 0.169648 | − | 0.205070i | ||||
\(162\) | 1.09054 | + | 0.692077i | 0.0856808 | + | 0.0543747i | ||||
\(163\) | 17.4902 | − | 1.10039i | 1.36994 | − | 0.0861893i | 0.639302 | − | 0.768956i | \(-0.279223\pi\) |
0.730637 | + | 0.682766i | \(0.239223\pi\) | |||||||
\(164\) | −1.79498 | − | 2.82843i | −0.140164 | − | 0.220864i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.0297737 | + | 0.473240i | 0.00231089 | + | 0.0367305i | ||||
\(167\) | −6.43823 | − | 1.22816i | −0.498205 | − | 0.0950377i | −0.0678467 | − | 0.997696i | \(-0.521613\pi\) |
−0.430359 | + | 0.902658i | \(0.641613\pi\) | |||||||
\(168\) | −1.50313 | + | 0.488396i | −0.115969 | + | 0.0376806i | ||||
\(169\) | −1.56260 | + | 1.46738i | −0.120200 | + | 0.112876i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.328124 | − | 1.72009i | −0.0250923 | − | 0.131538i | ||||
\(172\) | −5.33784 | + | 5.68423i | −0.407007 | + | 0.433418i | ||||
\(173\) | −4.50909 | + | 11.3887i | −0.342820 | + | 0.865863i | 0.651423 | + | 0.758714i | \(0.274172\pi\) |
−0.994243 | + | 0.107149i | \(0.965828\pi\) | |||||||
\(174\) | −0.335759 | − | 1.03336i | −0.0254538 | − | 0.0783387i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.08257 | + | 15.6425i | −0.383113 | + | 1.17910i | ||||
\(177\) | −4.42424 | − | 3.66005i | −0.332546 | − | 0.275106i | ||||
\(178\) | −0.0640414 | − | 0.0301356i | −0.00480010 | − | 0.00225876i | ||||
\(179\) | −1.50281 | − | 1.41123i | −0.112325 | − | 0.105481i | 0.626350 | − | 0.779542i | \(-0.284548\pi\) |
−0.738675 | + | 0.674062i | \(0.764548\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.6567 | + | 1.34626i | −0.792108 | + | 0.100067i | −0.510968 | − | 0.859600i | \(-0.670713\pi\) |
−0.281141 | + | 0.959667i | \(0.590713\pi\) | |||||||
\(182\) | − | 0.947112i | − | 0.0702046i | ||||||
\(183\) | 0.120901 | + | 0.957026i | 0.00893723 | + | 0.0707454i | ||||
\(184\) | 0.938085 | + | 1.13395i | 0.0691565 | + | 0.0835959i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.150020 | − | 2.38450i | 0.0110000 | − | 0.174840i | ||||
\(187\) | 3.19558 | − | 12.4460i | 0.233684 | − | 0.910139i | ||||
\(188\) | −6.02927 | + | 23.4825i | −0.439730 | + | 1.71264i | ||||
\(189\) | −0.508881 | + | 8.08843i | −0.0370156 | + | 0.588347i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.80278 | − | 9.43194i | −0.564589 | − | 0.682471i | 0.408538 | − | 0.912742i | \(-0.366039\pi\) |
−0.973127 | + | 0.230271i | \(0.926039\pi\) | |||||||
\(192\) | 1.50895 | + | 11.9446i | 0.108899 | + | 0.862025i | ||||
\(193\) | − | 19.8655i | − | 1.42995i | −0.699149 | − | 0.714976i | \(-0.746438\pi\) | ||
0.699149 | − | 0.714976i | \(-0.253562\pi\) | |||||||
\(194\) | −1.96973 | + | 0.248835i | −0.141418 | + | 0.0178653i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.87735 | + | 6.45826i | 0.491239 | + | 0.461304i | ||||
\(197\) | −23.8669 | − | 11.2309i | −1.70044 | − | 0.800169i | −0.995895 | − | 0.0905141i | \(-0.971149\pi\) |
−0.704550 | − | 0.709655i | \(-0.748851\pi\) | |||||||
\(198\) | −0.177284 | − | 0.146662i | −0.0125990 | − | 0.0104228i | ||||
\(199\) | −1.78603 | + | 5.49684i | −0.126609 | + | 0.389661i | −0.994191 | − | 0.107633i | \(-0.965673\pi\) |
0.867582 | + | 0.497294i | \(0.165673\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.84747 | − | 5.68594i | −0.130311 | − | 0.401055i | ||||
\(202\) | 0.824678 | − | 2.08290i | 0.0580242 | − | 0.146552i | ||||
\(203\) | 4.14925 | − | 4.41851i | 0.291221 | − | 0.310118i | ||||
\(204\) | −1.81324 | − | 9.50533i | −0.126952 | − | 0.665507i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.0751859 | − | 0.0706042i | 0.00523845 | − | 0.00491923i | ||||
\(207\) | 0.708981 | − | 0.230362i | 0.0492776 | − | 0.0160113i | ||||
\(208\) | −14.6807 | − | 2.80049i | −1.01792 | − | 0.194179i | ||||
\(209\) | −1.43199 | − | 22.7608i | −0.0990528 | − | 1.57440i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.13143 | − | 14.3888i | −0.628633 | − | 0.990567i | −0.998118 | − | 0.0613305i | \(-0.980466\pi\) |
0.369484 | − | 0.929237i | \(-0.379534\pi\) | |||||||
\(212\) | −19.1307 | + | 1.20360i | −1.31390 | + | 0.0826635i | ||||
\(213\) | −1.87895 | − | 1.19242i | −0.128744 | − | 0.0817032i | ||||
\(214\) | 1.11500 | − | 1.34781i | 0.0762200 | − | 0.0921342i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.42089 | − | 0.878334i | −0.232762 | − | 0.0597631i | ||||
\(217\) | 12.0599 | − | 5.67494i | 0.818676 | − | 0.385240i | ||||
\(218\) | −1.24077 | − | 0.403151i | −0.0840355 | − | 0.0273048i | ||||
\(219\) | 6.20588 | + | 3.41171i | 0.419354 | + | 0.230542i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.5840 | + | 1.46340i | 0.779227 | + | 0.0984392i | ||||
\(222\) | −0.223620 | + | 1.77013i | −0.0150084 | + | 0.118804i | ||||
\(223\) | −13.2626 | + | 8.41669i | −0.888128 | + | 0.563623i | −0.899797 | − | 0.436309i | \(-0.856286\pi\) |
0.0116690 | + | 0.999932i | \(0.496286\pi\) | |||||||
\(224\) | 2.32089 | − | 1.68622i | 0.155071 | − | 0.112665i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.77159 | − | 1.28713i | −0.117844 | − | 0.0856188i | ||||
\(227\) | −24.4170 | − | 1.53619i | −1.62062 | − | 0.101961i | −0.773652 | − | 0.633611i | \(-0.781572\pi\) |
−0.846964 | + | 0.531650i | \(0.821572\pi\) | |||||||
\(228\) | −8.27386 | − | 15.0501i | −0.547950 | − | 0.996717i | ||||
\(229\) | −11.9652 | + | 25.4274i | −0.790685 | + | 1.68029i | −0.0593840 | + | 0.998235i | \(0.518914\pi\) |
−0.731301 | + | 0.682055i | \(0.761086\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.95373 | + | 10.2418i | −0.128546 | + | 0.673861i | ||||
\(232\) | 1.55262 | + | 2.13700i | 0.101934 | + | 0.140301i | ||||
\(233\) | −3.85827 | + | 7.01816i | −0.252764 | + | 0.459775i | −0.971997 | − | 0.234993i | \(-0.924493\pi\) |
0.719233 | + | 0.694768i | \(0.244493\pi\) | |||||||
\(234\) | 0.112026 | − | 0.176525i | 0.00732339 | − | 0.0115398i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.44586 | + | 2.55210i | 0.419590 | + | 0.166127i | ||||
\(237\) | 9.00286 | + | 22.7386i | 0.584799 | + | 1.47703i | ||||
\(238\) | −0.562666 | + | 0.465478i | −0.0364722 | + | 0.0301725i | ||||
\(239\) | −4.63146 | + | 1.18916i | −0.299584 | + | 0.0769202i | −0.395490 | − | 0.918470i | \(-0.629425\pi\) |
0.0959058 | + | 0.995390i | \(0.469425\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.0650 | + | 4.77686i | −0.777174 | + | 0.307705i | −0.723019 | − | 0.690828i | \(-0.757246\pi\) |
−0.0541544 | + | 0.998533i | \(0.517246\pi\) | |||||||
\(242\) | −0.821006 | − | 0.874283i | −0.0527763 | − | 0.0562010i | ||||
\(243\) | −1.99925 | + | 2.75173i | −0.128252 | + | 0.176524i | ||||
\(244\) | −0.495896 | − | 1.05383i | −0.0317465 | − | 0.0674647i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.397241 | − | 0.218385i | 0.0253272 | − | 0.0139237i | ||||
\(247\) | 20.3559 | − | 3.88310i | 1.29522 | − | 0.247076i | ||||
\(248\) | 1.44449 | + | 5.62591i | 0.0917251 | + | 0.357246i | ||||
\(249\) | 4.74332 | 0.300596 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.42741 | −0.531934 | −0.265967 | − | 0.963982i | \(-0.585691\pi\) | ||||
−0.265967 | + | 0.963982i | \(0.585691\pi\) | |||||||
\(252\) | −0.240384 | − | 0.936235i | −0.0151428 | − | 0.0589773i | ||||
\(253\) | 9.53675 | − | 1.81923i | 0.599571 | − | 0.114374i | ||||
\(254\) | 0.750984 | − | 0.412857i | 0.0471210 | − | 0.0259050i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.92130 | − | 12.5834i | −0.370081 | − | 0.786462i | ||||
\(257\) | 13.4657 | − | 18.5339i | 0.839964 | − | 1.15611i | −0.146021 | − | 0.989281i | \(-0.546647\pi\) |
0.985986 | − | 0.166830i | \(-0.0533532\pi\) | |||||||
\(258\) | −0.722320 | − | 0.769192i | −0.0449696 | − | 0.0478878i | ||||
\(259\) | −9.25432 | + | 3.66404i | −0.575036 | + | 0.227673i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.29598 | − | 0.332751i | 0.0802191 | − | 0.0205968i | ||||
\(262\) | 1.78202 | − | 1.47422i | 0.110094 | − | 0.0910776i | ||||
\(263\) | 2.61528 | + | 6.60545i | 0.161265 | + | 0.407309i | 0.987831 | − | 0.155531i | \(-0.0497087\pi\) |
−0.826566 | + | 0.562840i | \(0.809709\pi\) | |||||||
\(264\) | −4.22470 | − | 1.67268i | −0.260012 | − | 0.102946i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.694464 | + | 1.09430i | −0.0425803 | + | 0.0670958i | ||||
\(267\) | −0.341086 | + | 0.620432i | −0.0208741 | + | 0.0379699i | ||||
\(268\) | 4.24286 | + | 5.83979i | 0.259174 | + | 0.356722i | ||||
\(269\) | −0.533159 | + | 2.79492i | −0.0325073 | + | 0.170409i | −0.994839 | − | 0.101471i | \(-0.967645\pi\) |
0.962331 | + | 0.271880i | \(0.0876452\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.585443 | + | 1.24413i | −0.0355632 | + | 0.0755756i | −0.921819 | − | 0.387620i | \(-0.873297\pi\) |
0.886256 | + | 0.463196i | \(0.153297\pi\) | |||||||
\(272\) | 5.55140 | + | 10.0980i | 0.336603 | + | 0.612278i | ||||
\(273\) | −9.45555 | − | 0.594893i | −0.572276 | − | 0.0360045i | ||||
\(274\) | −1.58170 | − | 1.14917i | −0.0955541 | − | 0.0694241i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 5.91503 | − | 4.29752i | 0.356043 | − | 0.258680i | ||||
\(277\) | 5.21615 | − | 3.31027i | 0.313408 | − | 0.198895i | −0.369813 | − | 0.929106i | \(-0.620578\pi\) |
0.683221 | + | 0.730211i | \(0.260578\pi\) | |||||||
\(278\) | 0.472939 | − | 3.74369i | 0.0283650 | − | 0.224532i | ||||
\(279\) | 2.91899 | + | 0.368754i | 0.174755 | + | 0.0220767i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.60578 | + | 3.08180i | 0.334413 | + | 0.183845i | 0.640109 | − | 0.768284i | \(-0.278889\pi\) |
−0.305696 | + | 0.952129i | \(0.598889\pi\) | |||||||
\(282\) | −3.12016 | − | 1.01380i | −0.185803 | − | 0.0603710i | ||||
\(283\) | 13.4216 | − | 6.31571i | 0.797829 | − | 0.375430i | 0.0167483 | − | 0.999860i | \(-0.494669\pi\) |
0.781081 | + | 0.624430i | \(0.214669\pi\) | |||||||
\(284\) | 2.60247 | + | 0.668200i | 0.154428 | + | 0.0396504i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.73563 | − | 2.09802i | 0.102630 | − | 0.124058i | ||||
\(287\) | 2.13516 | + | 1.35502i | 0.126035 | + | 0.0799841i | ||||
\(288\) | 0.632023 | − | 0.0397635i | 0.0372423 | − | 0.00234309i | ||||
\(289\) | 4.28522 | + | 6.75243i | 0.252072 | + | 0.397202i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.24705 | + | 19.8212i | 0.0731031 | + | 1.16194i | ||||
\(292\) | −8.39904 | − | 1.60220i | −0.491516 | − | 0.0937618i | ||||
\(293\) | −0.717265 | + | 0.233053i | −0.0419031 | + | 0.0136151i | −0.329894 | − | 0.944018i | \(-0.607013\pi\) |
0.287990 | + | 0.957633i | \(0.407013\pi\) | |||||||
\(294\) | −0.930646 | + | 0.873935i | −0.0542764 | + | 0.0509689i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −0.812778 | − | 4.26073i | −0.0472418 | − | 0.247650i | ||||
\(297\) | −15.9497 | + | 16.9847i | −0.925497 | + | 0.985555i | ||||
\(298\) | −1.33007 | + | 3.35938i | −0.0770491 | + | 0.194604i | ||||
\(299\) | 2.72616 | + | 8.39025i | 0.157658 | + | 0.485221i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.81899 | − | 5.59827i | 0.104845 | − | 0.322679i | ||||
\(302\) | 0.460180 | + | 0.380694i | 0.0264804 | + | 0.0219065i | ||||
\(303\) | −20.2768 | − | 9.54152i | −1.16487 | − | 0.548146i | ||||
\(304\) | 14.9087 | + | 14.0002i | 0.855073 | + | 0.802967i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.159929 | + | 0.0202037i | −0.00914253 | + | 0.00115497i | ||||
\(307\) | 24.1926i | 1.38074i | 0.723455 | + | 0.690372i | \(0.242553\pi\) | ||||
−0.723455 | + | 0.690372i | \(0.757447\pi\) | |||||||
\(308\) | −1.57779 | − | 12.4895i | −0.0899027 | − | 0.711653i | ||||
\(309\) | −0.657656 | − | 0.794970i | −0.0374128 | − | 0.0452243i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.656320 | + | 10.4319i | −0.0372165 | + | 0.591540i | 0.934585 | + | 0.355740i | \(0.115771\pi\) |
−0.971802 | + | 0.235800i | \(0.924229\pi\) | |||||||
\(312\) | 1.02679 | − | 3.99909i | 0.0581306 | − | 0.226404i | ||||
\(313\) | 5.89068 | − | 22.9427i | 0.332961 | − | 1.29680i | −0.553055 | − | 0.833145i | \(-0.686538\pi\) |
0.886017 | − | 0.463654i | \(-0.153462\pi\) | |||||||
\(314\) | 0.118303 | − | 1.88037i | 0.00667623 | − | 0.106116i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −18.8217 | − | 22.7515i | −1.05880 | − | 1.27987i | ||||
\(317\) | 3.74056 | + | 29.6096i | 0.210091 | + | 1.66304i | 0.646215 | + | 0.763155i | \(0.276351\pi\) |
−0.436124 | + | 0.899887i | \(0.643649\pi\) | |||||||
\(318\) | − | 2.59389i | − | 0.145458i | ||||||
\(319\) | 17.2885 | − | 2.18404i | 0.967968 | − | 0.122283i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −12.7556 | − | 11.9783i | −0.711946 | − | 0.668562i | ||||
\(322\) | −0.499237 | − | 0.234923i | −0.0278214 | − | 0.0130918i | ||||
\(323\) | −12.3112 | − | 10.1848i | −0.685016 | − | 0.566695i | ||||
\(324\) | −4.82058 | + | 14.8362i | −0.267810 | + | 0.824234i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −0.884795 | − | 2.72312i | −0.0490043 | − | 0.150820i | ||||
\(327\) | −4.80422 | + | 12.1341i | −0.265674 | + | 0.671016i | ||||
\(328\) | −0.754402 | + | 0.803357i | −0.0416549 | + | 0.0443580i | ||||
\(329\) | −3.42940 | − | 17.9776i | −0.189069 | − | 0.991135i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.02161 | − | 8.47186i | 0.495873 | − | 0.465655i | −0.395800 | − | 0.918337i | \(-0.629533\pi\) |
0.891672 | + | 0.452682i | \(0.149533\pi\) | |||||||
\(332\) | −5.44669 | + | 1.76974i | −0.298926 | + | 0.0971269i | ||||
\(333\) | −2.15824 | − | 0.411705i | −0.118271 | − | 0.0225613i | ||||
\(334\) | 0.0672403 | + | 1.06875i | 0.00367922 | + | 0.0584796i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −5.01012 | − | 7.89468i | −0.273324 | − | 0.430690i | ||||
\(337\) | −25.7802 | + | 1.62195i | −1.40434 | + | 0.0883534i | −0.746790 | − | 0.665060i | \(-0.768406\pi\) |
−0.657547 | + | 0.753413i | \(0.728406\pi\) | |||||||
\(338\) | 0.295705 | + | 0.187660i | 0.0160842 | + | 0.0102074i | ||||
\(339\) | −13.9629 | + | 16.8783i | −0.758362 | + | 0.916702i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 37.1143 | + | 9.52933i | 2.00985 | + | 0.516042i | ||||
\(342\) | −0.258872 | + | 0.121816i | −0.0139982 | + | 0.00658705i | ||||
\(343\) | −16.6904 | − | 5.42305i | −0.901199 | − | 0.292817i | ||||
\(344\) | 2.24793 | + | 1.23581i | 0.121200 | + | 0.0666305i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.98547 | + | 0.250823i | 0.106739 | + | 0.0134843i | ||||
\(347\) | 0.155697 | − | 1.23247i | 0.00835824 | − | 0.0661623i | −0.987384 | − | 0.158345i | \(-0.949384\pi\) |
0.995742 | + | 0.0921824i | \(0.0293843\pi\) | |||||||
\(348\) | 11.0801 | − | 7.03164i | 0.593955 | − | 0.376935i | ||||
\(349\) | 4.49001 | − | 3.26218i | 0.240344 | − | 0.174620i | −0.461092 | − | 0.887352i | \(-0.652542\pi\) |
0.701437 | + | 0.712732i | \(0.252542\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −17.1283 | − | 12.4444i | −0.914241 | − | 0.664235i | ||||
\(352\) | 8.23126 | + | 0.517867i | 0.438728 | + | 0.0276024i | ||||
\(353\) | 13.1413 | + | 23.9040i | 0.699443 | + | 1.27228i | 0.952414 | + | 0.304808i | \(0.0985924\pi\) |
−0.252970 | + | 0.967474i | \(0.581408\pi\) | |||||||
\(354\) | −0.399439 | + | 0.848851i | −0.0212299 | + | 0.0451159i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0.160180 | − | 0.839693i | 0.00848953 | − | 0.0445037i | ||||
\(357\) | 4.29371 | + | 5.90979i | 0.227247 | + | 0.312779i | ||||
\(358\) | −0.162266 | + | 0.295161i | −0.00857604 | + | 0.0155998i | ||||
\(359\) | −9.41649 | + | 14.8380i | −0.496983 | + | 0.783120i | −0.996536 | − | 0.0831632i | \(-0.973498\pi\) |
0.499553 | + | 0.866284i | \(0.333498\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.70089 | − | 3.44493i | −0.457942 | − | 0.181312i | ||||
\(362\) | 0.646047 | + | 1.63173i | 0.0339555 | + | 0.0857617i | ||||
\(363\) | −9.24414 | + | 7.64742i | −0.485192 | + | 0.401385i | ||||
\(364\) | 11.0796 | − | 2.84477i | 0.580730 | − | 0.149106i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.146537 | − | 0.0580182i | 0.00765962 | − | 0.00303266i | ||||
\(367\) | 2.29930 | + | 2.44850i | 0.120022 | + | 0.127811i | 0.786173 | − | 0.618006i | \(-0.212059\pi\) |
−0.666151 | + | 0.745817i | \(0.732059\pi\) | |||||||
\(368\) | −5.11760 | + | 7.04377i | −0.266773 | + | 0.367182i | ||||
\(369\) | 0.237683 | + | 0.505103i | 0.0123733 | + | 0.0262946i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 12.6803 | − | 6.97105i | 0.658328 | − | 0.361919i | ||||
\(372\) | 28.3453 | − | 5.40715i | 1.46963 | − | 0.280347i | ||||
\(373\) | −2.27628 | − | 8.86553i | −0.117861 | − | 0.459040i | 0.882066 | − | 0.471127i | \(-0.156152\pi\) |
−0.999927 | + | 0.0120870i | \(0.996152\pi\) | |||||||
\(374\) | −2.09942 | −0.108558 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.97575 | 0.411318 | ||||||||
\(377\) | 3.93785 | + | 15.3369i | 0.202810 | + | 0.789892i | ||||
\(378\) | 1.30067 | − | 0.248117i | 0.0668994 | − | 0.0127617i | ||||
\(379\) | −3.46106 | + | 1.90273i | −0.177783 | + | 0.0977369i | −0.568160 | − | 0.822918i | \(-0.692345\pi\) |
0.390377 | + | 0.920655i | \(0.372345\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.65008 | − | 7.75682i | −0.186999 | − | 0.397394i | ||||
\(382\) | −1.17557 | + | 1.61803i | −0.0601472 | + | 0.0827855i | ||||
\(383\) | 0.312583 | + | 0.332867i | 0.0159722 | + | 0.0170087i | 0.736905 | − | 0.675996i | \(-0.236286\pi\) |
−0.720933 | + | 0.693005i | \(0.756286\pi\) | |||||||
\(384\) | 7.68188 | − | 3.04147i | 0.392014 | − | 0.155209i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.14372 | + | 0.807171i | −0.160011 | + | 0.0410839i | ||||
\(387\) | 1.00120 | − | 0.828267i | 0.0508940 | − | 0.0421032i | ||||
\(388\) | −8.82728 | − | 22.2952i | −0.448137 | − | 1.13186i | ||||
\(389\) | −4.37456 | − | 1.73201i | −0.221799 | − | 0.0878165i | 0.254597 | − | 0.967047i | \(-0.418057\pi\) |
−0.476396 | + | 0.879231i | \(0.658057\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.64471 | − | 5.74314i | 0.184321 | − | 0.290443i | ||||
\(392\) | 1.49521 | − | 2.71978i | 0.0755195 | − | 0.137369i | ||||
\(393\) | −13.5986 | − | 18.7169i | −0.685961 | − | 0.944144i | ||||
\(394\) | −0.807539 | + | 4.23327i | −0.0406832 | + | 0.213269i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.18321 | − | 2.51444i | 0.0594584 | − | 0.126355i | ||||
\(397\) | −12.3968 | − | 22.5497i | −0.622177 | − | 1.13174i | −0.980197 | − | 0.198022i | \(-0.936548\pi\) |
0.358020 | − | 0.933714i | \(-0.383452\pi\) | |||||||
\(398\) | 0.942446 | + | 0.0592937i | 0.0472406 | + | 0.00297212i | ||||
\(399\) | 10.4888 | + | 7.62056i | 0.525097 | + | 0.381505i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.89068 | − | 4.27983i | 0.294167 | − | 0.213725i | −0.430906 | − | 0.902397i | \(-0.641806\pi\) |
0.725073 | + | 0.688672i | \(0.241806\pi\) | |||||||
\(402\) | −0.824735 | + | 0.523393i | −0.0411340 | + | 0.0261045i | ||||
\(403\) | −4.36393 | + | 34.5440i | −0.217383 | + | 1.72076i | ||||
\(404\) | 26.8435 | + | 3.39112i | 1.33551 | + | 0.168715i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.867821 | − | 0.477089i | −0.0430692 | − | 0.0236775i | ||||
\(407\) | −27.2145 | − | 8.84253i | −1.34897 | − | 0.438308i | ||||
\(408\) | −2.88044 | + | 1.35543i | −0.142603 | + | 0.0671040i | ||||
\(409\) | −5.66370 | − | 1.45419i | −0.280052 | − | 0.0719051i | 0.106051 | − | 0.994361i | \(-0.466179\pi\) |
−0.386103 | + | 0.922456i | \(0.626179\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −12.4663 | + | 15.0692i | −0.614919 | + | 0.743309i | ||||
\(412\) | 1.05178 | + | 0.667481i | 0.0518176 | + | 0.0328844i | ||||
\(413\) | −5.22312 | + | 0.328611i | −0.257013 | + | 0.0161699i | ||||
\(414\) | −0.0652620 | − | 0.102836i | −0.00320745 | − | 0.00505413i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.470571 | + | 7.47951i | 0.0230716 | + | 0.366713i | ||||
\(417\) | −37.0783 | − | 7.07307i | −1.81573 | − | 0.346370i | ||||
\(418\) | −3.54372 | + | 1.15142i | −0.173329 | + | 0.0563180i | ||||
\(419\) | −11.2710 | + | 10.5841i | −0.550622 | + | 0.517069i | −0.909160 | − | 0.416446i | \(-0.863275\pi\) |
0.358538 | + | 0.933515i | \(0.383275\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.56790 | + | 13.4614i | 0.125152 | + | 0.656069i | 0.988471 | + | 0.151411i | \(0.0483816\pi\) |
−0.863319 | + | 0.504658i | \(0.831618\pi\) | |||||||
\(422\) | −1.90601 | + | 2.02969i | −0.0927830 | + | 0.0988039i | ||||
\(423\) | 1.48724 | − | 3.75634i | 0.0723121 | − | 0.182640i | ||||
\(424\) | 1.94866 | + | 5.99735i | 0.0946351 | + | 0.291257i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.112355 | + | 0.345795i | −0.00544364 | + | 0.0167538i | ||||
\(427\) | 0.677441 | + | 0.560428i | 0.0327836 | + | 0.0271210i | ||||
\(428\) | 19.1161 | + | 8.99537i | 0.924014 | + | 0.434808i | ||||
\(429\) | −19.8555 | − | 18.6456i | −0.958634 | − | 0.900217i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −29.6109 | + | 3.74072i | −1.42631 | + | 0.180184i | −0.800284 | − | 0.599622i | \(-0.795318\pi\) |
−0.626021 | + | 0.779806i | \(0.715318\pi\) | |||||||
\(432\) | − | 20.8947i | − | 1.00530i | ||||||
\(433\) | 3.05601 | + | 24.1908i | 0.146862 | + | 1.16254i | 0.877433 | + | 0.479698i | \(0.159254\pi\) |
−0.730571 | + | 0.682837i | \(0.760746\pi\) | |||||||
\(434\) | −1.38807 | − | 1.67789i | −0.0666296 | − | 0.0805414i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.989387 | − | 15.7259i | 0.0473830 | − | 0.753132i | ||||
\(437\) | 3.00228 | − | 11.6931i | 0.143618 | − | 0.559357i | ||||
\(438\) | 0.287748 | − | 1.12071i | 0.0137491 | − | 0.0535494i | ||||
\(439\) | 0.964622 | − | 15.3322i | 0.0460389 | − | 0.731767i | −0.905521 | − | 0.424302i | \(-0.860519\pi\) |
0.951559 | − | 0.307465i | \(-0.0994806\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.00212 | − | 1.21136i | −0.0477201 | − | 0.0576836i | ||||
\(442\) | −0.239096 | − | 1.89264i | −0.0113726 | − | 0.0900236i | ||||
\(443\) | 18.9603i | 0.900830i | 0.892819 | + | 0.450415i | \(0.148724\pi\) | ||||
−0.892819 | + | 0.450415i | \(0.851276\pi\) | |||||||
\(444\) | −21.3793 | + | 2.70083i | −1.01462 | + | 0.128176i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.87082 | + | 1.75682i | 0.0885861 | + | 0.0831879i | ||||
\(447\) | 32.7032 | + | 15.3889i | 1.54681 | + | 0.727872i | ||||
\(448\) | 8.45508 | + | 6.99465i | 0.399465 | + | 0.330466i | ||||
\(449\) | 8.44214 | − | 25.9822i | 0.398409 | − | 1.22618i | −0.527866 | − | 0.849328i | \(-0.677008\pi\) |
0.926275 | − | 0.376849i | \(-0.122992\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.24662 | + | 6.91440i | 0.105789 | + | 0.325586i | ||||
\(452\) | 9.73613 | − | 24.5907i | 0.457949 | − | 1.15665i | ||||
\(453\) | 4.08973 | − | 4.35512i | 0.192152 | − | 0.204621i | ||||
\(454\) | 0.749005 | + | 3.92642i | 0.0351525 | + | 0.184276i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.11867 | + | 3.86769i | −0.192874 | + | 0.181121i | ||||
\(457\) | −31.1582 | + | 10.1239i | −1.45752 | + | 0.473576i | −0.927311 | − | 0.374293i | \(-0.877886\pi\) |
−0.530206 | + | 0.847869i | \(0.677886\pi\) | |||||||
\(458\) | 4.51006 | + | 0.860340i | 0.210741 | + | 0.0402010i | ||||
\(459\) | 1.02499 | + | 16.2918i | 0.0478425 | + | 0.760435i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.7088 | + | 34.2076i | 1.01108 | + | 1.59320i | 0.785386 | + | 0.619006i | \(0.212464\pi\) |
0.225692 | + | 0.974199i | \(0.427536\pi\) | |||||||
\(462\) | 1.70015 | − | 0.106964i | 0.0790981 | − | 0.00497643i | ||||
\(463\) | −10.7975 | − | 6.85233i | −0.501805 | − | 0.318455i | 0.260720 | − | 0.965415i | \(-0.416040\pi\) |
−0.762524 | + | 0.646960i | \(0.776040\pi\) | |||||||
\(464\) | −9.96113 | + | 12.0409i | −0.462434 | + | 0.558987i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.26739 | + | 0.325411i | 0.0587109 | + | 0.0150744i | ||||
\(467\) | 17.2207 | − | 8.10344i | 0.796878 | − | 0.374983i | 0.0161631 | − | 0.999869i | \(-0.494855\pi\) |
0.780715 | + | 0.624887i | \(0.214855\pi\) | |||||||
\(468\) | 2.40154 | + | 0.780306i | 0.111011 | + | 0.0360697i | ||||
\(469\) | −4.77509 | − | 2.62513i | −0.220493 | − | 0.121217i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −18.6985 | − | 2.36217i | −0.861582 | − | 0.108843i | ||||
\(472\) | 0.285847 | − | 2.26271i | 0.0131572 | − | 0.104150i | ||||
\(473\) | 14.2885 | − | 9.06776i | 0.656986 | − | 0.416936i | ||||
\(474\) | 3.23259 | − | 2.34862i | 0.148478 | − | 0.107875i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −7.13535 | − | 5.18414i | −0.327048 | − | 0.237615i | ||||
\(477\) | 3.18794 | + | 0.200568i | 0.145966 | + | 0.00918337i | ||||
\(478\) | 0.376369 | + | 0.684612i | 0.0172147 | + | 0.0313134i | ||||
\(479\) | 8.33691 | − | 17.7168i | 0.380923 | − | 0.809503i | −0.618790 | − | 0.785556i | \(-0.712377\pi\) |
0.999713 | − | 0.0239463i | \(-0.00762307\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.87222 | − | 25.5411i | 0.222154 | − | 1.16457i | ||||
\(482\) | 1.24616 | + | 1.71519i | 0.0567611 | + | 0.0781249i | ||||
\(483\) | −2.65895 | + | 4.83661i | −0.120986 | + | 0.220073i | ||||
\(484\) | 7.76166 | − | 12.2304i | 0.352803 | − | 0.555928i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.516695 | + | 0.204574i | 0.0234377 | + | 0.00927966i | ||||
\(487\) | 1.62012 | + | 4.09195i | 0.0734146 | + | 0.185424i | 0.961850 | − | 0.273578i | \(-0.0882071\pi\) |
−0.888435 | + | 0.459002i | \(0.848207\pi\) | |||||||
\(488\) | −0.295223 | + | 0.244230i | −0.0133641 | + | 0.0110558i | ||||
\(489\) | −27.7422 | + | 7.12298i | −1.25454 | + | 0.322112i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −30.1074 | + | 11.9204i | −1.35873 | + | 0.537958i | −0.930692 | − | 0.365803i | \(-0.880794\pi\) |
−0.428036 | + | 0.903762i | \(0.640794\pi\) | |||||||
\(492\) | 3.74791 | + | 3.99112i | 0.168969 | + | 0.179933i | ||||
\(493\) | 7.17612 | − | 9.87708i | 0.323196 | − | 0.444841i | ||||
\(494\) | −1.44160 | − | 3.06355i | −0.0648606 | − | 0.137836i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −30.1125 | + | 16.5545i | −1.35209 | + | 0.743317i | ||||
\(497\) | −1.99238 | + | 0.380067i | −0.0893704 | + | 0.0170483i | ||||
\(498\) | −0.192729 | − | 0.750631i | −0.00863641 | − | 0.0336366i | ||||
\(499\) | 7.95945 | 0.356314 | 0.178157 | − | 0.984002i | \(-0.442987\pi\) | ||||
0.178157 | + | 0.984002i | \(0.442987\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 10.7122 | 0.478586 | ||||||||
\(502\) | 0.342421 | + | 1.33364i | 0.0152830 | + | 0.0595233i | ||||
\(503\) | −18.1247 | + | 3.45746i | −0.808139 | + | 0.154161i | −0.574863 | − | 0.818250i | \(-0.694945\pi\) |
−0.233276 | + | 0.972411i | \(0.574945\pi\) | |||||||
\(504\) | −0.278656 | + | 0.153193i | −0.0124123 | + | 0.00682374i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.675389 | − | 1.43527i | −0.0300247 | − | 0.0638057i | ||||
\(507\) | 2.05925 | − | 2.83431i | 0.0914545 | − | 0.125876i | ||||
\(508\) | 7.08541 | + | 7.54520i | 0.314364 | + | 0.334764i | ||||
\(509\) | −21.8248 | + | 8.64107i | −0.967369 | + | 0.383009i | −0.798076 | − | 0.602557i | \(-0.794149\pi\) |
−0.169294 | + | 0.985566i | \(0.554149\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.25192 | − | 1.60522i | 0.276568 | − | 0.0710107i | ||||
\(512\) | −9.54093 | + | 7.89294i | −0.421654 | + | 0.348822i | ||||
\(513\) | 10.6654 | + | 26.9376i | 0.470887 | + | 1.18932i | ||||
\(514\) | −3.48012 | − | 1.37788i | −0.153502 | − | 0.0607756i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.82869 | − | 10.7603i | 0.300616 | − | 0.473696i | ||||
\(517\) | 25.3481 | − | 46.1080i | 1.11481 | − | 2.02783i | ||||
\(518\) | 0.955855 | + | 1.31562i | 0.0419979 | + | 0.0578051i | ||||
\(519\) | 3.75120 | − | 19.6645i | 0.164660 | − | 0.863176i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.85648 | − | 14.5708i | 0.300388 | − | 0.638356i | −0.696469 | − | 0.717587i | \(-0.745246\pi\) |
0.996856 | + | 0.0792310i | \(0.0252465\pi\) | |||||||
\(522\) | −0.105316 | − | 0.191569i | −0.00460955 | − | 0.00838473i | ||||
\(523\) | −12.7313 | − | 0.800988i | −0.556703 | − | 0.0350248i | −0.218052 | − | 0.975937i | \(-0.569970\pi\) |
−0.338650 | + | 0.940912i | \(0.609970\pi\) | |||||||
\(524\) | 22.5984 | + | 16.4187i | 0.987217 | + | 0.717255i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.939050 | − | 0.682260i | 0.0409445 | − | 0.0297479i | ||||
\(527\) | 22.6669 | − | 14.3848i | 0.987385 | − | 0.626614i | ||||
\(528\) | 3.36913 | − | 26.6694i | 0.146623 | − | 1.16064i | ||||
\(529\) | −17.7198 | − | 2.23853i | −0.770426 | − | 0.0973275i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.01237 | − | 0.556554i | −0.0439330 | − | 0.0241524i | ||||
\(532\) | −14.8874 | − | 4.83721i | −0.645450 | − | 0.209719i | ||||
\(533\) | −5.97751 | + | 2.81280i | −0.258915 | + | 0.121836i | ||||
\(534\) | 0.112042 | + | 0.0287676i | 0.00484855 | + | 0.00124490i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.51368 | − | 1.82972i | 0.0653809 | − | 0.0790319i | ||||
\(537\) | 2.84484 | + | 1.80539i | 0.122764 | + | 0.0779083i | ||||
\(538\) | 0.463959 | − | 0.0291898i | 0.0200027 | − | 0.00125846i | ||||
\(539\) | −10.9711 | − | 17.2877i | −0.472558 | − | 0.744633i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.53120 | + | 40.2323i | 0.108825 | + | 1.72972i | 0.552483 | + | 0.833524i | \(0.313680\pi\) |
−0.443658 | + | 0.896196i | \(0.646320\pi\) | |||||||
\(542\) | 0.220671 | + | 0.0420953i | 0.00947865 | + | 0.00180815i | ||||
\(543\) | 16.6962 | − | 5.42494i | 0.716505 | − | 0.232806i | ||||
\(544\) | 4.21220 | − | 3.95552i | 0.180597 | − | 0.169592i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.290053 | + | 1.52051i | 0.0124131 | + | 0.0650720i | ||||
\(547\) | −19.1239 | + | 20.3649i | −0.817679 | + | 0.870740i | −0.993518 | − | 0.113679i | \(-0.963736\pi\) |
0.175838 | + | 0.984419i | \(0.443736\pi\) | |||||||
\(548\) | 8.69259 | − | 21.9550i | 0.371329 | − | 0.937870i | ||||
\(549\) | 0.0599747 | + | 0.184583i | 0.00255966 | + | 0.00787781i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.69588 | − | 20.6078i | 0.285254 | − | 0.877922i | ||||
\(552\) | −1.85329 | − | 1.53318i | −0.0788815 | − | 0.0652564i | ||||
\(553\) | 20.1688 | + | 9.49073i | 0.857666 | + | 0.403587i | ||||
\(554\) | −0.735792 | − | 0.690955i | −0.0312608 | − | 0.0293558i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 45.2155 | − | 5.71205i | 1.91757 | − | 0.242245i | ||||
\(557\) | − | 7.51870i | − | 0.318578i | −0.987232 | − | 0.159289i | \(-0.949080\pi\) | ||
0.987232 | − | 0.159289i | \(-0.0509201\pi\) | |||||||
\(558\) | −0.0602482 | − | 0.476914i | −0.00255051 | − | 0.0201894i | ||||
\(559\) | 9.80191 | + | 11.8485i | 0.414577 | + | 0.501137i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.31867 | + | 20.9597i | −0.0556743 | + | 0.884918i | ||||
\(562\) | 0.259923 | − | 1.01233i | 0.0109642 | − | 0.0427027i | ||||
\(563\) | 3.00396 | − | 11.6997i | 0.126602 | − | 0.493081i | −0.873380 | − | 0.487039i | \(-0.838077\pi\) |
0.999982 | − | 0.00604197i | \(-0.00192323\pi\) | |||||||
\(564\) | 2.48801 | − | 39.5457i | 0.104764 | − | 1.66518i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.54480 | − | 1.86735i | −0.0649329 | − | 0.0784904i | ||||
\(567\) | −1.47594 | − | 11.6833i | −0.0619836 | − | 0.490651i | ||||
\(568\) | − | 0.883921i | − | 0.0370885i | ||||||
\(569\) | 17.6190 | − | 2.22580i | 0.738628 | − | 0.0933104i | 0.252988 | − | 0.967469i | \(-0.418587\pi\) |
0.485640 | + | 0.874159i | \(0.338587\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.2989 | + | 17.1838i | 0.765783 | + | 0.719118i | 0.965405 | − | 0.260755i | \(-0.0839714\pi\) |
−0.199622 | + | 0.979873i | \(0.563971\pi\) | |||||||
\(572\) | 29.7565 | + | 14.0023i | 1.24418 | + | 0.585468i | ||||
\(573\) | 15.4153 | + | 12.7526i | 0.643983 | + | 0.532749i | ||||
\(574\) | 0.127676 | − | 0.392947i | 0.00532910 | − | 0.0164013i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.748539 | + | 2.30377i | 0.0311891 | + | 0.0959903i | ||||
\(577\) | −10.7087 | + | 27.0470i | −0.445807 | + | 1.12598i | 0.517047 | + | 0.855957i | \(0.327031\pi\) |
−0.962854 | + | 0.270023i | \(0.912969\pi\) | |||||||
\(578\) | 0.894457 | − | 0.952500i | 0.0372045 | − | 0.0396188i | ||||
\(579\) | 6.08383 | + | 31.8925i | 0.252835 | + | 1.32541i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.15152 | − | 2.95947i | 0.130747 | − | 0.122780i | ||||
\(582\) | 3.08604 | − | 1.00272i | 0.127921 | − | 0.0415639i | ||||
\(583\) | 40.8639 | + | 7.79520i | 1.69241 | + | 0.322844i | ||||
\(584\) | 0.176624 | + | 2.80736i | 0.00730876 | + | 0.116169i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.0660245 | + | 0.104038i | 0.00272745 | + | 0.00429777i | ||||
\(587\) | −12.9475 | + | 0.814590i | −0.534402 | + | 0.0336217i | −0.327699 | − | 0.944782i | \(-0.606273\pi\) |
−0.206703 | + | 0.978404i | \(0.566273\pi\) | |||||||
\(588\) | −13.0189 | − | 8.26204i | −0.536890 | − | 0.340721i | ||||
\(589\) | 30.3713 | − | 36.7126i | 1.25143 | − | 1.51272i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 41.7559 | + | 10.7211i | 1.71761 | + | 0.441007i | ||||
\(592\) | 23.2191 | − | 10.9261i | 0.954299 | − | 0.449059i | ||||
\(593\) | −0.398461 | − | 0.129468i | −0.0163628 | − | 0.00531660i | 0.300824 | − | 0.953680i | \(-0.402738\pi\) |
−0.317187 | + | 0.948363i | \(0.602738\pi\) | |||||||
\(594\) | 3.33590 | + | 1.83393i | 0.136874 | + | 0.0752470i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −43.2942 | − | 5.46933i | −1.77340 | − | 0.224033i | ||||
\(597\) | 1.18392 | − | 9.37173i | 0.0484548 | − | 0.383559i | ||||
\(598\) | 1.21699 | − | 0.772326i | 0.0497664 | − | 0.0315827i | ||||
\(599\) | 23.1159 | − | 16.7947i | 0.944491 | − | 0.686213i | −0.00500643 | − | 0.999987i | \(-0.501594\pi\) |
0.949498 | + | 0.313775i | \(0.101594\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.3573 | + | 10.4312i | 0.585646 | + | 0.425496i | 0.840755 | − | 0.541416i | \(-0.182111\pi\) |
−0.255109 | + | 0.966912i | \(0.582111\pi\) | |||||||
\(602\) | −0.959836 | − | 0.0603878i | −0.0391200 | − | 0.00246122i | ||||
\(603\) | −0.579488 | − | 1.05408i | −0.0235986 | − | 0.0429257i | ||||
\(604\) | −3.07128 | + | 6.52681i | −0.124969 | + | 0.265572i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.686067 | + | 3.59649i | −0.0278696 | + | 0.146097i | ||||
\(607\) | 25.0852 | + | 34.5268i | 1.01817 | + | 1.40140i | 0.913476 | + | 0.406894i | \(0.133388\pi\) |
0.104699 | + | 0.994504i | \(0.466612\pi\) | |||||||
\(608\) | 4.94060 | − | 8.98692i | 0.200368 | − | 0.364468i | ||||
\(609\) | −5.30813 | + | 8.36428i | −0.215096 | + | 0.338938i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 44.4534 | + | 17.6004i | 1.79839 | + | 0.712034i | ||||
\(612\) | −0.716716 | − | 1.81022i | −0.0289715 | − | 0.0731737i | ||||
\(613\) | −19.8887 | + | 16.4534i | −0.803299 | + | 0.664546i | −0.945620 | − | 0.325274i | \(-0.894543\pi\) |
0.142321 | + | 0.989821i | \(0.454543\pi\) | |||||||
\(614\) | 3.82848 | − | 0.982986i | 0.154505 | − | 0.0396701i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.85057 | + | 1.52455i | −0.155144 | + | 0.0614258i | ||||
\(617\) | −25.2971 | − | 26.9387i | −1.01842 | − | 1.08451i | −0.996402 | − | 0.0847527i | \(-0.972990\pi\) |
−0.0220209 | − | 0.999758i | \(-0.507010\pi\) | |||||||
\(618\) | −0.0990824 | + | 0.136375i | −0.00398568 | + | 0.00548582i | ||||
\(619\) | −15.7832 | − | 33.5410i | −0.634379 | − | 1.34812i | −0.920805 | − | 0.390022i | \(-0.872467\pi\) |
0.286426 | − | 0.958102i | \(-0.407533\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.8082 | + | 5.94185i | −0.433718 | + | 0.238438i | ||||
\(622\) | 1.67752 | − | 0.320004i | 0.0672624 | − | 0.0128310i | ||||
\(623\) | 0.160482 | + | 0.625035i | 0.00642956 | + | 0.0250415i | ||||
\(624\) | 24.4263 | 0.977836 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −3.87004 | −0.154678 | ||||||||
\(627\) | 9.26946 | + | 36.1022i | 0.370187 | + | 1.44178i | ||||
\(628\) | 22.3526 | − | 4.26398i | 0.891965 | − | 0.170151i | ||||
\(629\) | −17.5682 | + | 9.65818i | −0.700489 | + | 0.385097i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.30633 | − | 9.15142i | −0.171432 | − | 0.364312i | 0.800586 | − | 0.599218i | \(-0.204522\pi\) |
−0.972018 | + | 0.234906i | \(0.924522\pi\) | |||||||
\(632\) | −5.70970 | + | 7.85873i | −0.227120 | + | 0.312603i | ||||
\(633\) | 19.0664 | + | 20.3036i | 0.757820 | + | 0.806997i | ||||
\(634\) | 4.53374 | − | 1.79504i | 0.180058 | − | 0.0712900i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 30.3442 | − | 7.79106i | 1.20322 | − | 0.308936i | ||||
\(637\) | 14.3355 | − | 11.8593i | 0.567992 | − | 0.469884i | ||||
\(638\) | −1.04809 | − | 2.64716i | −0.0414941 | − | 0.104802i | ||||
\(639\) | −0.416300 | − | 0.164825i | −0.0164686 | − | 0.00652037i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 10.9559 | − | 17.2638i | 0.432734 | − | 0.681879i | −0.556064 | − | 0.831139i | \(-0.687689\pi\) |
0.988798 | + | 0.149260i | \(0.0476892\pi\) | |||||||
\(642\) | −1.37728 | + | 2.50527i | −0.0543570 | + | 0.0988751i | ||||
\(643\) | −13.1357 | − | 18.0798i | −0.518022 | − | 0.712997i | 0.467224 | − | 0.884139i | \(-0.345254\pi\) |
−0.985246 | + | 0.171142i | \(0.945254\pi\) | |||||||
\(644\) | 1.24869 | − | 6.54586i | 0.0492053 | − | 0.257943i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.11151 | + | 2.36208i | −0.0437318 | + | 0.0929349i | ||||
\(647\) | 0.328412 | + | 0.597379i | 0.0129112 | + | 0.0234854i | 0.882684 | − | 0.469968i | \(-0.155734\pi\) |
−0.869772 | + | 0.493453i | \(0.835734\pi\) | |||||||
\(648\) | 5.12181 | + | 0.322237i | 0.201204 | + | 0.0126587i | ||||
\(649\) | −12.1723 | − | 8.84371i | −0.477805 | − | 0.347146i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −17.6232 | + | 12.8040i | −0.690708 | + | 0.501828i | ||||
\(652\) | 29.1984 | − | 18.5298i | 1.14350 | − | 0.725685i | ||||
\(653\) | 2.47685 | − | 19.6063i | 0.0969268 | − | 0.767254i | −0.866480 | − | 0.499211i | \(-0.833623\pi\) |
0.963407 | − | 0.268043i | \(-0.0863769\pi\) | |||||||
\(654\) | 2.11542 | + | 0.267240i | 0.0827196 | + | 0.0104499i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −5.71334 | − | 3.14093i | −0.223068 | − | 0.122633i | ||||
\(657\) | 1.35512 | + | 0.440304i | 0.0528682 | + | 0.0171779i | ||||
\(658\) | −2.70561 | + | 1.27316i | −0.105476 | + | 0.0496331i | ||||
\(659\) | −39.1292 | − | 10.0467i | −1.52426 | − | 0.391363i | −0.608651 | − | 0.793438i | \(-0.708289\pi\) |
−0.915607 | + | 0.402075i | \(0.868289\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.47526 | + | 2.99208i | −0.0962765 | + | 0.116378i | −0.816451 | − | 0.577415i | \(-0.804062\pi\) |
0.720175 | + | 0.693793i | \(0.244062\pi\) | |||||||
\(662\) | −1.70724 | − | 1.08345i | −0.0663536 | − | 0.0421093i | ||||
\(663\) | −19.0454 | + | 1.19824i | −0.739663 | + | 0.0465357i | ||||
\(664\) | 1.00952 | + | 1.59075i | 0.0391770 | + | 0.0617331i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0.0225404 | + | 0.358269i | 0.000873423 | + | 0.0138827i | ||||
\(667\) | 9.06108 | + | 1.72849i | 0.350846 | + | 0.0669275i | ||||
\(668\) | −12.3007 | + | 3.99673i | −0.475927 | + | 0.154638i | ||||
\(669\) | 18.7144 | − | 17.5740i | 0.723541 | − | 0.679450i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.473637 | + | 2.48289i | 0.0182845 | + | 0.0958509i | ||||
\(672\) | −3.20959 | + | 3.41787i | −0.123813 | + | 0.131847i | ||||
\(673\) | 10.6297 | − | 26.8475i | 0.409744 | − | 1.03489i | −0.567613 | − | 0.823296i | \(-0.692133\pi\) |
0.977357 | − | 0.211599i | \(-0.0678670\pi\) | |||||||
\(674\) | 1.30417 | + | 4.01382i | 0.0502347 | + | 0.154607i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.30712 | + | 4.02291i | −0.0502740 | + | 0.154727i | ||||
\(677\) | −10.0730 | − | 8.33315i | −0.387139 | − | 0.320269i | 0.423412 | − | 0.905937i | \(-0.360832\pi\) |
−0.810551 | + | 0.585668i | \(0.800832\pi\) | |||||||
\(678\) | 3.23833 | + | 1.52384i | 0.124367 | + | 0.0585228i | ||||
\(679\) | 13.1955 | + | 12.3914i | 0.506397 | + | 0.475538i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 39.6701 | − | 5.01150i | 1.52016 | − | 0.192041i | ||||
\(682\) | − | 6.26054i | − | 0.239728i | ||||||
\(683\) | −1.06316 | − | 8.41581i | −0.0406809 | − | 0.322022i | −0.999303 | − | 0.0373394i | \(-0.988112\pi\) |
0.958622 | − | 0.284683i | \(-0.0918883\pi\) | |||||||
\(684\) | −2.20260 | − | 2.66248i | −0.0842184 | − | 0.101803i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.180037 | + | 2.86161i | −0.00687386 | + | 0.109257i | ||||
\(687\) | 11.4221 | − | 44.4861i | 0.435780 | − | 1.69725i | ||||
\(688\) | −3.77415 | + | 14.6994i | −0.143888 | + | 0.560408i | ||||
\(689\) | −2.37357 | + | 37.7268i | −0.0904258 | + | 1.43728i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.26217 | − | 2.73449i | −0.0860570 | − | 0.104025i | 0.725727 | − | 0.687983i | \(-0.241503\pi\) |
−0.811784 | + | 0.583958i | \(0.801503\pi\) | |||||||
\(692\) | 3.02939 | + | 23.9801i | 0.115160 | + | 0.911585i | ||||
\(693\) | 2.09779i | 0.0796883i | ||||||||
\(694\) | −0.201364 | + | 0.0254382i | −0.00764369 | + | 0.000965622i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −3.14707 | − | 2.95529i | −0.119289 | − | 0.112020i | ||||
\(697\) | 4.60882 | + | 2.16875i | 0.174572 | + | 0.0821471i | ||||
\(698\) | −0.698677 | − | 0.577996i | −0.0264453 | − | 0.0218775i | ||||
\(699\) | 4.04483 | − | 12.4487i | 0.152990 | − | 0.470853i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.48442 | − | 19.9570i | −0.244913 | − | 0.753765i | −0.995651 | − | 0.0931648i | \(-0.970302\pi\) |
0.750737 | − | 0.660601i | \(-0.229698\pi\) | |||||||
\(702\) | −1.27338 | + | 3.21620i | −0.0480607 | + | 0.121388i | ||||
\(703\) | −24.3572 | + | 25.9378i | −0.918650 | + | 0.978263i | ||||
\(704\) | 5.91142 | + | 30.9888i | 0.222795 | + | 1.16793i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.24886 | − | 3.05088i | 0.122272 | − | 0.114821i | ||||
\(707\) | −19.4253 | + | 6.31167i | −0.730565 | + | 0.237375i | ||||
\(708\) | −11.1299 | − | 2.12314i | −0.418288 | − | 0.0797926i | ||||
\(709\) | 1.43737 | + | 22.8463i | 0.0539815 | + | 0.858011i | 0.928108 | + | 0.372312i | \(0.121435\pi\) |
−0.874126 | + | 0.485699i | \(0.838565\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.63654 | + | 4.15452i | 0.0988778 | + | 0.155807i | ||||
\(712\) | −0.280666 | + | 0.0176580i | −0.0105184 | + | 0.000661761i | ||||
\(713\) | 17.1263 | + | 10.8687i | 0.641383 | + | 0.407034i | ||||
\(714\) | 0.760764 | − | 0.919605i | 0.0284709 | − | 0.0344154i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.94028 | − | 1.01169i | −0.147255 | − | 0.0378087i | ||||
\(717\) | 7.07127 | − | 3.32749i | 0.264081 | − | 0.124267i | ||||
\(718\) | 2.73073 | + | 0.887267i | 0.101910 | + | 0.0331125i | ||||
\(719\) | −9.61148 | − | 5.28396i | −0.358448 | − | 0.197058i | 0.292347 | − | 0.956312i | \(-0.405564\pi\) |
−0.650794 | + | 0.759254i | \(0.725564\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.932957 | − | 0.117860i | −0.0347451 | − | 0.00438933i | ||||
\(722\) | −0.191628 | + | 1.51689i | −0.00713165 | + | 0.0564528i | ||||
\(723\) | 17.9065 | − | 11.3638i | 0.665949 | − | 0.422624i | ||||
\(724\) | −17.1480 | + | 12.4588i | −0.637301 | + | 0.463026i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.58581 | + | 1.15216i | 0.0588550 | + | 0.0427606i | ||||
\(727\) | −48.7342 | − | 3.06610i | −1.80745 | − | 0.113715i | −0.877083 | − | 0.480340i | \(-0.840513\pi\) |
−0.930369 | + | 0.366624i | \(0.880513\pi\) | |||||||
\(728\) | −1.81292 | − | 3.29769i | −0.0671912 | − | 0.122220i | ||||
\(729\) | 12.4648 | − | 26.4889i | 0.461657 | − | 0.981072i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.22166 | − | 11.6464i | 0.0821712 | − | 0.430756i | ||||
\(732\) | 1.11886 | + | 1.53998i | 0.0413542 | + | 0.0569192i | ||||
\(733\) | −21.2187 | + | 38.5967i | −0.783730 | + | 1.42560i | 0.117870 | + | 0.993029i | \(0.462393\pi\) |
−0.901600 | + | 0.432571i | \(0.857607\pi\) | |||||||
\(734\) | 0.294051 | − | 0.463351i | 0.0108536 | − | 0.0171026i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.05928 | + | 1.60718i | 0.149627 | + | 0.0592416i | ||||
\(737\) | −5.76697 | − | 14.5657i | −0.212429 | − | 0.536535i | ||||
\(738\) | 0.0702751 | − | 0.0581367i | 0.00258686 | − | 0.00214004i | ||||
\(739\) | 9.86167 | − | 2.53205i | 0.362767 | − | 0.0931428i | −0.0629067 | − | 0.998019i | \(-0.520037\pi\) |
0.425674 | + | 0.904877i | \(0.360037\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −31.4906 | + | 12.4680i | −1.15684 | + | 0.458025i | ||||
\(742\) | −1.61839 | − | 1.72341i | −0.0594130 | − | 0.0632685i | ||||
\(743\) | 5.10593 | − | 7.02771i | 0.187319 | − | 0.257822i | −0.705021 | − | 0.709186i | \(-0.749063\pi\) |
0.892340 | + | 0.451364i | \(0.149063\pi\) | |||||||
\(744\) | −4.04195 | − | 8.58959i | −0.148185 | − | 0.314910i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −1.31048 | + | 0.720443i | −0.0479801 | + | 0.0263773i | ||||
\(747\) | 0.937441 | − | 0.178827i | 0.0342992 | − | 0.00654292i | ||||
\(748\) | −6.30586 | − | 24.5597i | −0.230565 | − | 0.897991i | ||||
\(749\) | −15.9485 | −0.582746 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.8544 | −0.906949 | −0.453474 | − | 0.891269i | \(-0.649816\pi\) | ||||
−0.453474 | + | 0.891269i | \(0.649816\pi\) | |||||||
\(752\) | 11.7345 | + | 45.7028i | 0.427912 | + | 1.66661i | ||||
\(753\) | 13.5296 | − | 2.58090i | 0.493044 | − | 0.0940532i | ||||
\(754\) | 2.26707 | − | 1.24633i | 0.0825618 | − | 0.0453887i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 6.80928 | + | 14.4705i | 0.247651 | + | 0.526285i | ||||
\(757\) | −2.91770 | + | 4.01587i | −0.106046 | + | 0.145959i | −0.858741 | − | 0.512409i | \(-0.828753\pi\) |
0.752696 | + | 0.658368i | \(0.228753\pi\) | |||||||
\(758\) | 0.441737 | + | 0.470402i | 0.0160446 | + | 0.0170858i | ||||
\(759\) | −14.7534 | + | 5.84127i | −0.535513 | + | 0.212025i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −35.1478 | + | 9.02441i | −1.27411 | + | 0.327135i | −0.824382 | − | 0.566033i | \(-0.808477\pi\) |
−0.449723 | + | 0.893168i | \(0.648477\pi\) | |||||||
\(762\) | −1.07921 | + | 0.892799i | −0.0390956 | + | 0.0323427i | ||||
\(763\) | 4.37877 | + | 11.0595i | 0.158522 | + | 0.400381i | ||||
\(764\) | −22.4592 | − | 8.89222i | −0.812544 | − | 0.321709i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.0399754 | − | 0.0629912i | 0.00144437 | − | 0.00227597i | ||||
\(767\) | 6.58639 | − | 11.9806i | 0.237821 | − | 0.432594i | ||||
\(768\) | 13.3599 | + | 18.3883i | 0.482082 | + | 0.663529i | ||||
\(769\) | −0.712846 | + | 3.73687i | −0.0257059 | + | 0.134755i | −0.992827 | − | 0.119562i | \(-0.961851\pi\) |
0.967121 | + | 0.254318i | \(0.0818508\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −15.9420 | + | 33.8786i | −0.574138 | + | 1.22011i | ||||
\(772\) | −18.8851 | − | 34.3519i | −0.679690 | − | 1.23635i | ||||
\(773\) | 40.1881 | + | 2.52842i | 1.44546 | + | 0.0909409i | 0.766034 | − | 0.642799i | \(-0.222227\pi\) |
0.679430 | + | 0.733740i | \(0.262227\pi\) | |||||||
\(774\) | −0.171754 | − | 0.124787i | −0.00617357 | − | 0.00448536i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −6.38197 | + | 4.63677i | −0.229099 | + | 0.166450i | ||||
\(777\) | 13.7350 | − | 8.71648i | 0.492739 | − | 0.312702i | ||||
\(778\) | −0.0963451 | + | 0.762650i | −0.00345414 | + | 0.0273423i | ||||
\(779\) | 8.96893 | + | 1.13304i | 0.321345 | + | 0.0405953i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.10996 | − | 2.80923i | −0.182849 | − | 0.100522i | ||||
\(782\) | −1.05694 | − | 0.343422i | −0.0377962 | − | 0.0122807i | ||||
\(783\) | −20.0307 | + | 9.42571i | −0.715837 | + | 0.336847i | ||||
\(784\) | 17.7848 | + | 4.56635i | 0.635170 | + | 0.163084i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −2.40942 | + | 2.91249i | −0.0859412 | + | 0.103885i | ||||
\(787\) | 15.4253 | + | 9.78921i | 0.549853 | + | 0.348948i | 0.781552 | − | 0.623840i | \(-0.214428\pi\) |
−0.231699 | + | 0.972788i | \(0.574428\pi\) | |||||||
\(788\) | −51.9477 | + | 3.26828i | −1.85056 | + | 0.116427i | ||||
\(789\) | −6.22155 | − | 9.80360i | −0.221493 | − | 0.349017i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.25363 | + | 19.9259i | 0.0445741 | + | 0.708485i | ||||
\(792\) | −0.898006 | − | 0.171304i | −0.0319093 | − | 0.00608702i | ||||
\(793\) | −2.18440 | + | 0.709754i | −0.0775703 | + | 0.0252041i | ||||
\(794\) | −3.06479 | + | 2.87803i | −0.108765 | + | 0.102137i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.13711 | + | 11.2031i | 0.0757480 | + | 0.397085i | ||||
\(797\) | 17.3622 | − | 18.4888i | 0.615000 | − | 0.654908i | −0.343783 | − | 0.939049i | \(-0.611708\pi\) |
0.958783 | + | 0.284141i | \(0.0917084\pi\) | |||||||
\(798\) | 0.779777 | − | 1.96949i | 0.0276038 | − | 0.0697193i | ||||
\(799\) | −11.3914 | − | 35.0593i | −0.403000 | − | 1.24031i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.0440194 | + | 0.135478i | −0.00155535 | + | 0.00478687i | ||||
\(802\) | −0.916633 | − | 0.758305i | −0.0323674 | − | 0.0267767i | ||||
\(803\) | 16.7907 | + | 7.90112i | 0.592532 | + | 0.278825i | ||||
\(804\) | −8.60002 | − | 8.07595i | −0.303299 | − | 0.284817i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.64391 | − | 0.712992i | 0.198798 | − | 0.0251141i | ||||
\(807\) | − | 4.65030i | − | 0.163698i | ||||||
\(808\) | −1.11560 | − | 8.83087i | −0.0392466 | − | 0.310669i | ||||
\(809\) | −0.815014 | − | 0.985183i | −0.0286544 | − | 0.0346372i | 0.755991 | − | 0.654582i | \(-0.227155\pi\) |
−0.784646 | + | 0.619944i | \(0.787155\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.03363 | − | 32.3236i | 0.0714104 | − | 1.13504i | −0.785258 | − | 0.619168i | \(-0.787470\pi\) |
0.856669 | − | 0.515867i | \(-0.172530\pi\) | |||||||
\(812\) | 2.97454 | − | 11.5851i | 0.104386 | − | 0.406556i | ||||
\(813\) | 0.558868 | − | 2.17665i | 0.0196004 | − | 0.0763383i | ||||
\(814\) | −0.293559 | + | 4.66599i | −0.0102892 | + | 0.163543i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −12.0048 | − | 14.5114i | −0.420253 | − | 0.507999i | ||||
\(817\) | −2.63738 | − | 20.8770i | −0.0922702 | − | 0.730394i | ||||
\(818\) | 0.955367i | 0.0334036i | ||||||||
\(819\) | −1.89117 | + | 0.238910i | −0.0660827 | + | 0.00834819i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −29.3527 | − | 27.5640i | −1.02442 | − | 0.961991i | −0.0251272 | − | 0.999684i | \(-0.507999\pi\) |
−0.999289 | + | 0.0376931i | \(0.987999\pi\) | |||||||
\(822\) | 2.89123 | + | 1.36051i | 0.100843 | + | 0.0474533i | ||||
\(823\) | −11.6096 | − | 9.60426i | −0.404684 | − | 0.334783i | 0.412711 | − | 0.910862i | \(-0.364582\pi\) |
−0.817394 | + | 0.576079i | \(0.804582\pi\) | |||||||
\(824\) | 0.126637 | − | 0.389750i | 0.00441162 | − | 0.0135776i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.264227 | + | 0.813207i | 0.00919364 | + | 0.0282951i | ||||
\(827\) | −1.45717 | + | 3.68038i | −0.0506707 | + | 0.127979i | −0.952907 | − | 0.303262i | \(-0.901924\pi\) |
0.902237 | + | 0.431241i | \(0.141924\pi\) | |||||||
\(828\) | 1.00699 | − | 1.07234i | 0.0349954 | − | 0.0372663i | ||||
\(829\) | 8.22262 | + | 43.1045i | 0.285583 | + | 1.49708i | 0.778855 | + | 0.627205i | \(0.215801\pi\) |
−0.493271 | + | 0.869876i | \(0.664199\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7.36035 | + | 6.91183i | −0.255328 | + | 0.239769i | ||||
\(832\) | −27.2633 | + | 8.85839i | −0.945186 | + | 0.307109i | ||||
\(833\) | −14.0909 | − | 2.68799i | −0.488222 | − | 0.0931334i | ||||
\(834\) | 0.387243 | + | 6.15505i | 0.0134091 | + | 0.213132i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −24.1137 | − | 37.9972i | −0.833991 | − | 1.31416i | ||||
\(837\) | −48.5827 | + | 3.05656i | −1.67926 | + | 0.105650i | ||||
\(838\) | 2.13290 | + | 1.35358i | 0.0736798 | + | 0.0467586i | ||||
\(839\) | 4.22470 | − | 5.10678i | 0.145853 | − | 0.176306i | −0.692528 | − | 0.721391i | \(-0.743503\pi\) |
0.838380 | + | 0.545086i | \(0.183503\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.0524 | − | 3.09452i | −0.415599 | − | 0.106708i | ||||
\(842\) | 2.02593 | − | 0.953331i | 0.0698182 | − | 0.0328540i | ||||
\(843\) | −9.94344 | − | 3.23082i | −0.342470 | − | 0.111275i | ||||
\(844\) | −29.4690 | − | 16.2007i | −1.01436 | − | 0.557651i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.654871 | − | 0.0827294i | −0.0225149 | − | 0.00284430i | ||||
\(847\) | −1.37051 | + | 10.8487i | −0.0470912 | + | 0.372765i | ||||
\(848\) | −31.4991 | + | 19.9899i | −1.08168 | + | 0.686457i | ||||
\(849\) | −19.6131 | + | 14.2497i | −0.673119 | + | 0.489050i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.2546 | − | 8.90347i | −0.420082 | − | 0.305207i | ||||
\(852\) | −4.38269 | − | 0.275736i | −0.150149 | − | 0.00944655i | ||||
\(853\) | −7.19883 | − | 13.0946i | −0.246483 | − | 0.448352i | 0.723906 | − | 0.689899i | \(-0.242345\pi\) |
−0.970389 | + | 0.241547i | \(0.922345\pi\) | |||||||
\(854\) | 0.0611622 | − | 0.129976i | 0.00209293 | − | 0.00444770i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.30234 | − | 6.82713i | 0.0445132 | − | 0.233346i | ||||
\(857\) | 24.9954 | + | 34.4032i | 0.853825 | + | 1.17519i | 0.983007 | + | 0.183568i | \(0.0587649\pi\) |
−0.129182 | + | 0.991621i | \(0.541235\pi\) | |||||||
\(858\) | −2.14390 | + | 3.89974i | −0.0731916 | + | 0.133135i | ||||
\(859\) | −14.5992 | + | 23.0047i | −0.498119 | + | 0.784910i | −0.996635 | − | 0.0819707i | \(-0.973879\pi\) |
0.498516 | + | 0.866881i | \(0.333879\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.84281 | − | 1.52148i | −0.130963 | − | 0.0518518i | ||||
\(862\) | 1.79511 | + | 4.53393i | 0.0611417 | + | 0.154426i | ||||
\(863\) | −9.90696 | + | 8.19575i | −0.337237 | + | 0.278987i | −0.790592 | − | 0.612343i | \(-0.790227\pi\) |
0.453355 | + | 0.891330i | \(0.350227\pi\) | |||||||
\(864\) | −10.1484 | + | 2.60566i | −0.345254 | + | 0.0886462i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.70403 | − | 1.46653i | 0.125868 | − | 0.0498346i | ||||
\(867\) | −8.94753 | − | 9.52815i | −0.303874 | − | 0.323593i | ||||
\(868\) | 15.4593 | − | 21.2779i | 0.524722 | − | 0.722219i | ||||
\(869\) | 27.2852 | + | 57.9840i | 0.925588 | + | 1.96697i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.4743 | − | 6.85780i | 0.422675 | − | 0.232368i | ||||
\(872\) | −5.09185 | + | 0.971322i | −0.172432 | + | 0.0328931i | ||||
\(873\) | 0.993733 | + | 3.87033i | 0.0336328 | + | 0.130991i | ||||
\(874\) | −1.97242 | −0.0667182 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 13.9747 | 0.472160 | ||||||||
\(877\) | 8.87329 | + | 34.5592i | 0.299630 | + | 1.16698i | 0.922921 | + | 0.384990i | \(0.125795\pi\) |
−0.623291 | + | 0.781990i | \(0.714205\pi\) | |||||||
\(878\) | −2.46552 | + | 0.470323i | −0.0832073 | + | 0.0158726i | ||||
\(879\) | 1.08014 | − | 0.593812i | 0.0364322 | − | 0.0200288i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 8.21754 | + | 17.4632i | 0.276856 | + | 0.588349i | 0.994099 | − | 0.108474i | \(-0.0345964\pi\) |
−0.717243 | + | 0.696823i | \(0.754596\pi\) | |||||||
\(882\) | −0.150979 | + | 0.207805i | −0.00508374 | + | 0.00699717i | ||||
\(883\) | −1.25668 | − | 1.33823i | −0.0422908 | − | 0.0450351i | 0.707475 | − | 0.706738i | \(-0.249834\pi\) |
−0.749766 | + | 0.661703i | \(0.769834\pi\) | |||||||
\(884\) | 21.4225 | − | 8.48179i | 0.720518 | − | 0.285273i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.00047 | − | 0.770389i | 0.100803 | − | 0.0258817i | ||||
\(887\) | −14.4627 | + | 11.9646i | −0.485611 | + | 0.401732i | −0.847754 | − | 0.530390i | \(-0.822045\pi\) |
0.362142 | + | 0.932123i | \(0.382045\pi\) | |||||||
\(888\) | 2.60970 | + | 6.59136i | 0.0875759 | + | 0.221191i | ||||
\(889\) | −7.26483 | − | 2.87635i | −0.243655 | − | 0.0964697i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 18.1407 | − | 28.5852i | 0.607737 | − | 0.957640i | ||||
\(892\) | −14.9326 | + | 27.1624i | −0.499981 | + | 0.909463i | ||||
\(893\) | −38.4565 | − | 52.9308i | −1.28690 | − | 1.77126i | ||||
\(894\) | 1.10652 | − | 5.80056i | 0.0370075 | − | 0.194000i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 3.20629 | − | 6.81371i | 0.107115 | − | 0.227630i | ||||
\(897\) | −6.94615 | − | 12.6350i | −0.231925 | − | 0.421871i | ||||
\(898\) | −4.45471 | − | 0.280267i | −0.148656 | − | 0.00935262i | ||||
\(899\) | 29.4538 | + | 21.3994i | 0.982340 | + | 0.713711i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 23.5795 | − | 17.1315i | 0.785548 | − | 0.570734i | ||||
\(902\) | 1.00292 | − | 0.636473i | 0.0333936 | − | 0.0211922i | ||||
\(903\) | −1.20577 | + | 9.54465i | −0.0401255 | + | 0.317626i | ||||
\(904\) | −8.63214 | − | 1.09049i | −0.287101 | − | 0.0362692i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.855371 | − | 0.470244i | −0.0284178 | − | 0.0156228i | ||||
\(907\) | 2.98485 | + | 0.969836i | 0.0991103 | + | 0.0322029i | 0.358152 | − | 0.933663i | \(-0.383407\pi\) |
−0.259042 | + | 0.965866i | \(0.583407\pi\) | |||||||
\(908\) | −43.6828 | + | 20.5556i | −1.44967 | + | 0.682161i | ||||
\(909\) | −4.36710 | − | 1.12128i | −0.144848 | − | 0.0371906i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 37.2809 | − | 45.0649i | 1.23517 | − | 1.49307i | 0.426851 | − | 0.904322i | \(-0.359623\pi\) |
0.808320 | − | 0.588743i | \(-0.200377\pi\) | |||||||
\(912\) | −28.2223 | − | 17.9104i | −0.934535 | − | 0.593074i | ||||
\(913\) | 12.4046 | − | 0.780429i | 0.410531 | − | 0.0258284i | ||||
\(914\) | 2.86812 | + | 4.51943i | 0.0948689 | + | 0.149490i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.48197 | + | 55.3443i | 0.115048 | + | 1.82863i | ||||
\(917\) | −20.7131 | − | 3.95123i | −0.684006 | − | 0.130481i | ||||
\(918\) | 2.53653 | − | 0.824169i | 0.0837180 | − | 0.0272016i | ||||
\(919\) | 30.6984 | − | 28.8277i | 1.01265 | − | 0.950939i | 0.0138467 | − | 0.999904i | \(-0.495592\pi\) |
0.998800 | + | 0.0489651i | \(0.0155923\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.40899 | − | 38.8393i | −0.244134 | − | 1.27980i | ||||
\(922\) | 4.53129 | − | 4.82533i | 0.149230 | − | 0.158914i | ||||
\(923\) | 1.95058 | − | 4.92659i | 0.0642040 | − | 0.162161i | ||||
\(924\) | 6.35791 | + | 19.5676i | 0.209160 | + | 0.643728i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −0.645660 | + | 1.98714i | −0.0212177 | + | 0.0653013i | ||||
\(927\) | −0.159946 | − | 0.132319i | −0.00525332 | − | 0.00434593i | ||||
\(928\) | 7.09037 | + | 3.33648i | 0.232753 | + | 0.109525i | ||||
\(929\) | 10.3790 | + | 9.74654i | 0.340524 | + | 0.319774i | 0.835875 | − | 0.548919i | \(-0.184961\pi\) |
−0.495351 | + | 0.868693i | \(0.664961\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −25.2591 | + | 3.19097i | −0.827834 | + | 0.104580i | ||||
\(932\) | 15.8038i | 0.517671i | ||||||||
\(933\) | −2.14111 | − | 16.9486i | −0.0700967 | − | 0.554873i | ||||
\(934\) | −1.98208 | − | 2.39592i | −0.0648556 | − | 0.0783969i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.0521605 | − | 0.829067i | 0.00170492 | − | 0.0270989i | ||||
\(937\) | −5.78396 | + | 22.5271i | −0.188954 | + | 0.735927i | 0.801490 | + | 0.598009i | \(0.204041\pi\) |
−0.990444 | + | 0.137918i | \(0.955959\pi\) | |||||||
\(938\) | −0.221407 | + | 0.862322i | −0.00722918 | + | 0.0281558i | ||||
\(939\) | −2.43082 | + | 38.6367i | −0.0793267 | + | 1.26086i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −17.0057 | − | 20.5564i | −0.554370 | − | 0.670118i | 0.416664 | − | 0.909061i | \(-0.363199\pi\) |
−0.971034 | + | 0.238943i | \(0.923199\pi\) | |||||||
\(942\) | 0.385939 | + | 3.05502i | 0.0125746 | + | 0.0995380i | ||||
\(943\) | 3.84853i | 0.125325i | ||||||||
\(944\) | 13.3864 | − | 1.69109i | 0.435690 | − | 0.0550404i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.01554 | − | 1.89272i | −0.0655309 | − | 0.0615376i | ||||
\(947\) | 39.8945 | + | 18.7729i | 1.29640 | + | 0.610038i | 0.945270 | − | 0.326290i | \(-0.105799\pi\) |
0.351127 | + | 0.936328i | \(0.385799\pi\) | |||||||
\(948\) | 37.1844 | + | 30.7616i | 1.20769 | + | 0.999090i | ||||
\(949\) | −5.21067 | + | 16.0368i | −0.169145 | + | 0.520576i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −15.0731 | − | 46.3904i | −0.488780 | − | 1.50431i | ||||
\(952\) | −1.06811 | + | 2.69775i | −0.0346178 | + | 0.0874345i | ||||
\(953\) | 16.0892 | − | 17.1333i | 0.521180 | − | 0.555001i | −0.413494 | − | 0.910507i | \(-0.635692\pi\) |
0.934674 | + | 0.355506i | \(0.115692\pi\) | |||||||
\(954\) | −0.0977915 | − | 0.512641i | −0.00316612 | − | 0.0165974i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −6.87835 | + | 6.45920i | −0.222462 | + | 0.208905i | ||||
\(957\) | −27.0864 | + | 8.80091i | −0.875580 | + | 0.284493i | ||||
\(958\) | −3.14243 | − | 0.599451i | −0.101527 | − | 0.0193674i | ||||
\(959\) | 1.11927 | + | 17.7902i | 0.0361430 | + | 0.574477i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 26.2855 | + | 41.4193i | 0.847919 | + | 1.33611i | ||||
\(962\) | −4.23985 | + | 0.266749i | −0.136698 | + | 0.00860032i | ||||
\(963\) | −2.97252 | − | 1.88642i | −0.0957882 | − | 0.0607891i | ||||
\(964\) | −16.3219 | + | 19.7298i | −0.525693 | + | 0.635454i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.873432 | + | 0.224259i | 0.0281022 | + | 0.00721542i | ||||
\(967\) | 16.7480 | − | 7.88099i | 0.538578 | − | 0.253436i | −0.137197 | − | 0.990544i | \(-0.543809\pi\) |
0.675775 | + | 0.737108i | \(0.263809\pi\) | |||||||
\(968\) | −4.53212 | − | 1.47258i | −0.145668 | − | 0.0473304i | ||||
\(969\) | 22.8838 | + | 12.5805i | 0.735135 | + | 0.404144i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 45.5963 | + | 5.76015i | 1.46326 | + | 0.184852i | 0.816279 | − | 0.577658i | \(-0.196033\pi\) |
0.646976 | + | 0.762510i | \(0.276033\pi\) | |||||||
\(972\) | −0.841219 | + | 6.65893i | −0.0269821 | + | 0.213585i | ||||
\(973\) | −29.0484 | + | 18.4347i | −0.931249 | + | 0.590988i | ||||
\(974\) | 0.581724 | − | 0.422647i | 0.0186396 | − | 0.0135425i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.83384 | − | 1.33237i | −0.0586999 | − | 0.0426480i | ||||
\(977\) | 5.27063 | + | 0.331600i | 0.168623 | + | 0.0106088i | 0.146877 | − | 0.989155i | \(-0.453078\pi\) |
0.0217452 | + | 0.999764i | \(0.493078\pi\) | |||||||
\(978\) | 2.25443 | + | 4.10078i | 0.0720886 | + | 0.131129i | ||||
\(979\) | −0.789914 | + | 1.67865i | −0.0252458 | + | 0.0536500i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.492014 | + | 2.57923i | −0.0157088 | + | 0.0823485i | ||||
\(982\) | 3.10972 | + | 4.28016i | 0.0992350 | + | 0.136585i | ||||
\(983\) | 6.55866 | − | 11.9302i | 0.209189 | − | 0.380513i | −0.750810 | − | 0.660519i | \(-0.770336\pi\) |
0.959998 | + | 0.280006i | \(0.0903364\pi\) | |||||||
\(984\) | 0.965105 | − | 1.52076i | 0.0307664 | − | 0.0484801i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −1.85463 | − | 0.734299i | −0.0590634 | − | 0.0233848i | ||||
\(987\) | 11.0113 | + | 27.8113i | 0.350493 | + | 0.885243i | ||||
\(988\) | 31.5084 | − | 26.0661i | 1.00242 | − | 0.829272i | ||||
\(989\) | 8.67680 | − | 2.22782i | 0.275906 | − | 0.0708406i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −51.2918 | + | 20.3078i | −1.62934 | + | 0.645100i | −0.992086 | − | 0.125557i | \(-0.959928\pi\) |
−0.637250 | + | 0.770657i | \(0.719928\pi\) | |||||||
\(992\) | 11.7955 | + | 12.5609i | 0.374508 | + | 0.398810i | ||||
\(993\) | −11.8890 | + | 16.3638i | −0.377285 | + | 0.519289i | ||||
\(994\) | 0.141099 | + | 0.299852i | 0.00447540 | + | 0.00951072i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 8.20225 | − | 4.50922i | 0.259898 | − | 0.142880i | ||||
\(997\) | −6.06499 | + | 1.15696i | −0.192080 | + | 0.0366412i | −0.282524 | − | 0.959260i | \(-0.591172\pi\) |
0.0904435 | + | 0.995902i | \(0.471172\pi\) | |||||||
\(998\) | −0.323406 | − | 1.25958i | −0.0102372 | − | 0.0398714i | ||||
\(999\) | 36.3520 | 1.15013 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 625.2.h.a.274.6 | 240 | ||
5.2 | odd | 4 | 625.2.g.b.351.13 | 480 | |||
5.3 | odd | 4 | 625.2.g.b.351.12 | 480 | |||
5.4 | even | 2 | 125.2.h.a.104.7 | ✓ | 240 | ||
125.6 | even | 25 | 125.2.h.a.119.7 | yes | 240 | ||
125.33 | odd | 100 | 625.2.g.b.276.12 | 480 | |||
125.92 | odd | 100 | 625.2.g.b.276.13 | 480 | |||
125.119 | even | 50 | inner | 625.2.h.a.349.6 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.h.a.104.7 | ✓ | 240 | 5.4 | even | 2 | ||
125.2.h.a.119.7 | yes | 240 | 125.6 | even | 25 | ||
625.2.g.b.276.12 | 480 | 125.33 | odd | 100 | |||
625.2.g.b.276.13 | 480 | 125.92 | odd | 100 | |||
625.2.g.b.351.12 | 480 | 5.3 | odd | 4 | |||
625.2.g.b.351.13 | 480 | 5.2 | odd | 4 | |||
625.2.h.a.274.6 | 240 | 1.1 | even | 1 | trivial | ||
625.2.h.a.349.6 | 240 | 125.119 | even | 50 | inner |