Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.12 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.12 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29543 | + | 1.62442i | −0.916011 | + | 1.14864i | 0.0724814 | + | 0.997370i | \(0.476908\pi\) |
−0.988492 | + | 0.151271i | \(0.951663\pi\) | |||||||
\(3\) | 0.00546009 | + | 0.0362253i | 0.00315239 | + | 0.0209147i | 0.990352 | − | 0.138577i | \(-0.0442527\pi\) |
−0.987199 | + | 0.159491i | \(0.949015\pi\) | |||||||
\(4\) | −0.515560 | − | 2.25882i | −0.257780 | − | 1.12941i | ||||
\(5\) | 2.06352 | + | 3.02662i | 0.922832 | + | 1.35355i | 0.935387 | + | 0.353625i | \(0.115051\pi\) |
−0.0125551 | + | 0.999921i | \(0.503997\pi\) | |||||||
\(6\) | −0.0659185 | − | 0.0380581i | −0.0269111 | − | 0.0155371i | ||||
\(7\) | −0.0270939 | + | 0.0156427i | −0.0102405 | + | 0.00591237i | −0.505112 | − | 0.863054i | \(-0.668549\pi\) |
0.494871 | + | 0.868966i | \(0.335215\pi\) | |||||||
\(8\) | 0.593233 | + | 0.285686i | 0.209740 | + | 0.101005i | ||||
\(9\) | 2.86544 | − | 0.883870i | 0.955145 | − | 0.294623i | ||||
\(10\) | −7.58967 | − | 0.568767i | −2.40006 | − | 0.179860i | ||||
\(11\) | 4.28552 | + | 0.978143i | 1.29213 | + | 0.294921i | 0.812713 | − | 0.582664i | \(-0.197990\pi\) |
0.479421 | + | 0.877585i | \(0.340847\pi\) | |||||||
\(12\) | 0.0790114 | − | 0.0310097i | 0.0228086 | − | 0.00895172i | ||||
\(13\) | 0.221445 | + | 2.95498i | 0.0614178 | + | 0.819563i | 0.939826 | + | 0.341653i | \(0.110987\pi\) |
−0.878409 | + | 0.477910i | \(0.841394\pi\) | |||||||
\(14\) | 0.00968804 | − | 0.0642760i | 0.00258924 | − | 0.0171785i | ||||
\(15\) | −0.0983734 | + | 0.0912772i | −0.0253999 | + | 0.0235677i | ||||
\(16\) | 2.94235 | − | 1.41696i | 0.735587 | − | 0.354240i | ||||
\(17\) | −2.21398 | − | 3.47826i | −0.536969 | − | 0.843602i | ||||
\(18\) | −2.27621 | + | 5.79968i | −0.536507 | + | 1.36700i | ||||
\(19\) | 5.97788 | + | 1.84393i | 1.37142 | + | 0.423027i | 0.890996 | − | 0.454010i | \(-0.150007\pi\) |
0.480423 | + | 0.877037i | \(0.340483\pi\) | |||||||
\(20\) | 5.77271 | − | 6.22151i | 1.29082 | − | 1.39117i | ||||
\(21\) | −0.000714595 | 0 | 0.000896074i | −0.000155937 | 0 | 0.000195539i | ||||
\(22\) | −7.14054 | + | 5.69439i | −1.52237 | + | 1.21405i | ||||
\(23\) | 0.363581 | − | 0.391848i | 0.0758120 | − | 0.0817059i | −0.694007 | − | 0.719969i | \(-0.744156\pi\) |
0.769819 | + | 0.638263i | \(0.220347\pi\) | |||||||
\(24\) | −0.00710996 | + | 0.0230499i | −0.00145132 | + | 0.00470505i | ||||
\(25\) | −3.07564 | + | 7.83659i | −0.615127 | + | 1.56732i | ||||
\(26\) | −5.08700 | − | 3.46826i | −0.997643 | − | 0.680182i | ||||
\(27\) | 0.0953494 | + | 0.197995i | 0.0183500 | + | 0.0381042i | ||||
\(28\) | 0.0493024 | + | 0.0531353i | 0.00931727 | + | 0.0100416i | ||||
\(29\) | 1.13199 | − | 7.51026i | 0.210205 | − | 1.39462i | −0.596000 | − | 0.802984i | \(-0.703244\pi\) |
0.806205 | − | 0.591636i | \(-0.201518\pi\) | |||||||
\(30\) | −0.0208365 | − | 0.278044i | −0.00380421 | − | 0.0507636i | ||||
\(31\) | 5.67094 | − | 2.22568i | 1.01853 | − | 0.399744i | 0.203447 | − | 0.979086i | \(-0.434786\pi\) |
0.815085 | + | 0.579342i | \(0.196690\pi\) | |||||||
\(32\) | −1.80291 | + | 7.89906i | −0.318712 | + | 1.39637i | ||||
\(33\) | −0.0120342 | + | 0.160585i | −0.00209489 | + | 0.0279543i | ||||
\(34\) | 8.51824 | + | 0.909418i | 1.46087 | + | 0.155964i | ||||
\(35\) | −0.103253 | − | 0.0497240i | −0.0174529 | − | 0.00840489i | ||||
\(36\) | −3.47380 | − | 6.01680i | −0.578967 | − | 1.00280i | ||||
\(37\) | 7.89017 | + | 4.55539i | 1.29714 | + | 0.748902i | 0.979908 | − | 0.199448i | \(-0.0639149\pi\) |
0.317227 | + | 0.948350i | \(0.397248\pi\) | |||||||
\(38\) | −10.7393 | + | 7.32192i | −1.74214 | + | 1.18777i | ||||
\(39\) | −0.105836 | + | 0.0241564i | −0.0169473 | + | 0.00386811i | ||||
\(40\) | 0.359482 | + | 2.38501i | 0.0568391 | + | 0.377103i | ||||
\(41\) | −7.05382 | − | 5.62523i | −1.10162 | − | 0.878514i | −0.108326 | − | 0.994115i | \(-0.534549\pi\) |
−0.993296 | + | 0.115601i | \(0.963120\pi\) | |||||||
\(42\) | 0.00238132 | 0.000367445 | ||||||||
\(43\) | −5.80735 | + | 3.04543i | −0.885613 | + | 0.464423i | ||||
\(44\) | − | 10.1845i | − | 1.53537i | ||||||
\(45\) | 8.58801 | + | 6.84871i | 1.28023 | + | 1.02095i | ||||
\(46\) | 0.165531 | + | 1.09822i | 0.0244061 | + | 0.161924i | ||||
\(47\) | −0.136544 | − | 0.598237i | −0.0199169 | − | 0.0872618i | 0.963993 | − | 0.265929i | \(-0.0856786\pi\) |
−0.983910 | + | 0.178667i | \(0.942822\pi\) | |||||||
\(48\) | 0.0673954 | + | 0.0988509i | 0.00972768 | + | 0.0142679i | ||||
\(49\) | −3.49951 | + | 6.06133i | −0.499930 | + | 0.865904i | ||||
\(50\) | −8.74566 | − | 15.1479i | −1.23682 | − | 2.14224i | ||||
\(51\) | 0.113913 | − | 0.0991938i | 0.0159510 | − | 0.0138899i | ||||
\(52\) | 6.56058 | − | 2.02367i | 0.909789 | − | 0.280633i | ||||
\(53\) | 0.356757 | − | 4.76060i | 0.0490044 | − | 0.653918i | −0.917577 | − | 0.397558i | \(-0.869858\pi\) |
0.966581 | − | 0.256360i | \(-0.0825232\pi\) | |||||||
\(54\) | −0.445147 | − | 0.101602i | −0.0605768 | − | 0.0138263i | ||||
\(55\) | 5.88278 | + | 14.9891i | 0.793233 | + | 2.02113i | ||||
\(56\) | −0.0205419 | + | 0.00153940i | −0.00274502 | + | 0.000205711i | ||||
\(57\) | −0.0341573 | + | 0.226619i | −0.00452424 | + | 0.0300164i | ||||
\(58\) | 10.7334 | + | 11.5679i | 1.40937 | + | 1.51894i | ||||
\(59\) | −7.81273 | + | 3.76241i | −1.01713 | + | 0.489825i | −0.866718 | − | 0.498799i | \(-0.833775\pi\) |
−0.150413 | + | 0.988623i | \(0.548060\pi\) | |||||||
\(60\) | 0.256896 | + | 0.175149i | 0.0331651 | + | 0.0226116i | ||||
\(61\) | −11.0875 | − | 4.35154i | −1.41961 | − | 0.557158i | −0.473443 | − | 0.880824i | \(-0.656989\pi\) |
−0.946171 | + | 0.323667i | \(0.895084\pi\) | |||||||
\(62\) | −3.73089 | + | 12.0952i | −0.473823 | + | 1.53610i | ||||
\(63\) | −0.0638097 | + | 0.0687705i | −0.00803926 | + | 0.00866426i | ||||
\(64\) | −6.42354 | − | 8.05486i | −0.802942 | − | 1.00686i | ||||
\(65\) | −8.48664 | + | 6.76787i | −1.05264 | + | 0.839451i | ||||
\(66\) | −0.245269 | − | 0.227576i | −0.0301905 | − | 0.0280127i | ||||
\(67\) | −4.34015 | − | 1.33876i | −0.530234 | − | 0.163556i | 0.0180666 | − | 0.999837i | \(-0.494249\pi\) |
−0.548301 | + | 0.836281i | \(0.684725\pi\) | |||||||
\(68\) | −6.71531 | + | 6.79422i | −0.814351 | + | 0.823921i | ||||
\(69\) | 0.0161800 | + | 0.0110313i | 0.00194784 | + | 0.00132802i | ||||
\(70\) | 0.214530 | − | 0.103312i | 0.0256413 | − | 0.0123482i | ||||
\(71\) | −1.36017 | − | 1.46592i | −0.161423 | − | 0.173973i | 0.647161 | − | 0.762353i | \(-0.275956\pi\) |
−0.808584 | + | 0.588381i | \(0.799766\pi\) | |||||||
\(72\) | 1.95238 | + | 0.294274i | 0.230090 | + | 0.0346805i | ||||
\(73\) | −3.94643 | + | 0.295744i | −0.461895 | + | 0.0346142i | −0.303646 | − | 0.952785i | \(-0.598204\pi\) |
−0.158249 | + | 0.987399i | \(0.550585\pi\) | |||||||
\(74\) | −17.6211 | + | 6.91577i | −2.04841 | + | 0.803942i | ||||
\(75\) | −0.300676 | − | 0.0686274i | −0.0347191 | − | 0.00792441i | ||||
\(76\) | 1.08315 | − | 14.4536i | 0.124245 | − | 1.65794i | ||||
\(77\) | −0.131412 | + | 0.0405353i | −0.0149758 | + | 0.00461942i | ||||
\(78\) | 0.0978634 | − | 0.203215i | 0.0110808 | − | 0.0230096i | ||||
\(79\) | −5.16949 | + | 2.98461i | −0.581614 | + | 0.335795i | −0.761774 | − | 0.647842i | \(-0.775672\pi\) |
0.180161 | + | 0.983637i | \(0.442338\pi\) | |||||||
\(80\) | 10.3602 | + | 5.98146i | 1.15830 | + | 0.668747i | ||||
\(81\) | 7.42617 | − | 5.06308i | 0.825130 | − | 0.562564i | ||||
\(82\) | 18.2755 | − | 4.17127i | 2.01819 | − | 0.460640i | ||||
\(83\) | 1.88004 | − | 0.283370i | 0.206361 | − | 0.0311039i | −0.0450481 | − | 0.998985i | \(-0.514344\pi\) |
0.251409 | + | 0.967881i | \(0.419106\pi\) | |||||||
\(84\) | −0.00165565 | + | 0.00207612i | −0.000180646 | + | 0.000226523i | ||||
\(85\) | 5.95880 | − | 13.8783i | 0.646322 | − | 1.50532i | ||||
\(86\) | 2.57598 | − | 13.3788i | 0.277776 | − | 1.44267i | ||||
\(87\) | 0.278243 | 0.0298307 | ||||||||
\(88\) | 2.26287 | + | 1.80458i | 0.241223 | + | 0.192369i | ||||
\(89\) | −4.37783 | + | 0.659851i | −0.464049 | + | 0.0699441i | −0.376906 | − | 0.926252i | \(-0.623012\pi\) |
−0.0871433 | + | 0.996196i | \(0.527774\pi\) | |||||||
\(90\) | −22.2504 | + | 5.07851i | −2.34540 | + | 0.535322i | ||||
\(91\) | −0.0522235 | − | 0.0765977i | −0.00547451 | − | 0.00802963i | ||||
\(92\) | −1.07256 | − | 0.619242i | −0.111822 | − | 0.0645605i | ||||
\(93\) | 0.111590 | + | 0.193279i | 0.0115713 | + | 0.0200421i | ||||
\(94\) | 1.14867 | + | 0.553172i | 0.118477 | + | 0.0570554i | ||||
\(95\) | 6.75456 | + | 21.8978i | 0.693003 | + | 2.24666i | ||||
\(96\) | −0.295990 | − | 0.0221814i | −0.0302094 | − | 0.00226388i | ||||
\(97\) | −1.78880 | − | 0.408283i | −0.181625 | − | 0.0414548i | 0.130741 | − | 0.991417i | \(-0.458264\pi\) |
−0.312366 | + | 0.949962i | \(0.601122\pi\) | |||||||
\(98\) | −5.31278 | − | 13.5367i | −0.536672 | − | 1.36742i | ||||
\(99\) | 13.1444 | − | 0.985040i | 1.32107 | − | 0.0990002i | ||||
\(100\) | 19.2871 | + | 2.90706i | 1.92871 | + | 0.290706i | ||||
\(101\) | −5.21693 | + | 4.84061i | −0.519104 | + | 0.481658i | −0.895662 | − | 0.444735i | \(-0.853298\pi\) |
0.376558 | + | 0.926393i | \(0.377108\pi\) | |||||||
\(102\) | 0.0135664 | + | 0.313541i | 0.00134327 | + | 0.0310452i | ||||
\(103\) | −15.6477 | − | 10.6684i | −1.54181 | − | 1.05119i | −0.973587 | − | 0.228317i | \(-0.926678\pi\) |
−0.568226 | − | 0.822873i | \(-0.692370\pi\) | |||||||
\(104\) | −0.712827 | + | 1.81625i | −0.0698984 | + | 0.178098i | ||||
\(105\) | 0.00123750 | − | 0.00401187i | 0.000120768 | − | 0.000391519i | ||||
\(106\) | 7.27107 | + | 6.74657i | 0.706229 | + | 0.655284i | ||||
\(107\) | −4.62489 | + | 3.68823i | −0.447105 | + | 0.356554i | −0.821011 | − | 0.570912i | \(-0.806590\pi\) |
0.373906 | + | 0.927467i | \(0.378018\pi\) | |||||||
\(108\) | 0.398076 | − | 0.317455i | 0.0383049 | − | 0.0305471i | ||||
\(109\) | 11.2157 | − | 12.0876i | 1.07427 | − | 1.15779i | 0.0874137 | − | 0.996172i | \(-0.472140\pi\) |
0.986854 | − | 0.161613i | \(-0.0516697\pi\) | |||||||
\(110\) | −31.9694 | − | 9.86124i | −3.04816 | − | 0.940232i | ||||
\(111\) | −0.121940 | + | 0.310697i | −0.0115740 | + | 0.0294900i | ||||
\(112\) | −0.0575546 | + | 0.0844171i | −0.00543840 | + | 0.00797666i | ||||
\(113\) | −4.76641 | − | 9.89755i | −0.448386 | − | 0.931083i | −0.995566 | − | 0.0940680i | \(-0.970013\pi\) |
0.547180 | − | 0.837015i | \(-0.315701\pi\) | |||||||
\(114\) | −0.323876 | − | 0.349056i | −0.0303338 | − | 0.0326921i | ||||
\(115\) | 1.93623 | + | 0.291840i | 0.180554 | + | 0.0272142i | ||||
\(116\) | −17.5479 | + | 1.31503i | −1.62928 | + | 0.122098i | ||||
\(117\) | 3.24635 | + | 8.27157i | 0.300125 | + | 0.764707i | ||||
\(118\) | 4.00913 | − | 17.5652i | 0.369071 | − | 1.61700i | ||||
\(119\) | 0.114394 | + | 0.0596070i | 0.0104865 | + | 0.00546416i | ||||
\(120\) | −0.0844350 | + | 0.0260447i | −0.00770782 | + | 0.00237755i | ||||
\(121\) | 7.49829 | + | 3.61099i | 0.681663 | + | 0.328271i | ||||
\(122\) | 21.4319 | − | 12.3737i | 1.94036 | − | 1.12027i | ||||
\(123\) | 0.165262 | − | 0.286241i | 0.0149011 | − | 0.0258095i | ||||
\(124\) | −7.95111 | − | 11.6621i | −0.714031 | − | 1.04729i | ||||
\(125\) | −12.2086 | + | 2.78653i | −1.09197 | + | 0.249235i | ||||
\(126\) | −0.0290511 | − | 0.192742i | −0.00258808 | − | 0.0171708i | ||||
\(127\) | −11.9819 | + | 15.0248i | −1.06322 | + | 1.33324i | −0.123101 | + | 0.992394i | \(0.539284\pi\) |
−0.940120 | + | 0.340843i | \(0.889287\pi\) | |||||||
\(128\) | 5.20139 | 0.459742 | ||||||||
\(129\) | −0.142030 | − | 0.193745i | −0.0125051 | − | 0.0170583i | ||||
\(130\) | − | 22.5532i | − | 1.97805i | ||||||
\(131\) | 1.36507 | + | 1.08860i | 0.119266 | + | 0.0951118i | 0.681307 | − | 0.731998i | \(-0.261412\pi\) |
−0.562040 | + | 0.827110i | \(0.689983\pi\) | |||||||
\(132\) | 0.368937 | − | 0.0556083i | 0.0321118 | − | 0.00484008i | ||||
\(133\) | −0.190808 | + | 0.0435506i | −0.0165451 | + | 0.00377632i | ||||
\(134\) | 7.79710 | − | 5.31597i | 0.673567 | − | 0.459230i | ||||
\(135\) | −0.402501 | + | 0.697152i | −0.0346418 | + | 0.0600013i | ||||
\(136\) | −0.319716 | − | 2.69592i | −0.0274154 | − | 0.231173i | ||||
\(137\) | 7.32827 | + | 3.52911i | 0.626096 | + | 0.301512i | 0.719899 | − | 0.694079i | \(-0.244188\pi\) |
−0.0938028 | + | 0.995591i | \(0.529902\pi\) | |||||||
\(138\) | −0.0388797 | + | 0.0119928i | −0.00330966 | + | 0.00102089i | ||||
\(139\) | 14.4775 | + | 1.08494i | 1.22797 | + | 0.0920233i | 0.672868 | − | 0.739762i | \(-0.265062\pi\) |
0.555097 | + | 0.831786i | \(0.312681\pi\) | |||||||
\(140\) | −0.0590843 | + | 0.258865i | −0.00499353 | + | 0.0218781i | ||||
\(141\) | 0.0209258 | − | 0.00821277i | 0.00176227 | − | 0.000691640i | ||||
\(142\) | 4.14329 | − | 0.310497i | 0.347697 | − | 0.0260563i | ||||
\(143\) | −1.94138 | + | 12.8802i | −0.162346 | + | 1.07710i | ||||
\(144\) | 7.17870 | − | 6.66086i | 0.598225 | − | 0.555072i | ||||
\(145\) | 25.0666 | − | 12.0714i | 2.08167 | − | 1.00248i | ||||
\(146\) | 4.63193 | − | 6.79379i | 0.383341 | − | 0.562258i | ||||
\(147\) | −0.238681 | − | 0.0936755i | −0.0196861 | − | 0.00772623i | ||||
\(148\) | 6.22193 | − | 20.1710i | 0.511440 | − | 1.65805i | ||||
\(149\) | −10.1538 | − | 9.42136i | −0.831833 | − | 0.771828i | 0.144178 | − | 0.989552i | \(-0.453946\pi\) |
−0.976010 | + | 0.217724i | \(0.930137\pi\) | |||||||
\(150\) | 0.500987 | − | 0.399524i | 0.0409054 | − | 0.0326210i | ||||
\(151\) | 9.78191 | + | 12.2661i | 0.796041 | + | 0.998203i | 0.999816 | + | 0.0191857i | \(0.00610736\pi\) |
−0.203775 | + | 0.979018i | \(0.565321\pi\) | |||||||
\(152\) | 3.01949 | + | 2.80168i | 0.244913 | + | 0.227246i | ||||
\(153\) | −9.41835 | − | 8.00986i | −0.761428 | − | 0.647559i | ||||
\(154\) | 0.104389 | − | 0.265980i | 0.00841194 | − | 0.0214333i | ||||
\(155\) | 18.4384 | + | 12.5711i | 1.48101 | + | 1.00973i | ||||
\(156\) | 0.109130 | + | 0.226610i | 0.00873735 | + | 0.0181433i | ||||
\(157\) | 12.8925 | − | 11.9625i | 1.02894 | − | 0.954714i | 0.0299430 | − | 0.999552i | \(-0.490467\pi\) |
0.998994 | + | 0.0448373i | \(0.0142769\pi\) | |||||||
\(158\) | 1.84847 | − | 12.2638i | 0.147057 | − | 0.975657i | ||||
\(159\) | 0.174402 | − | 0.0130696i | 0.0138310 | − | 0.00103649i | ||||
\(160\) | −27.6278 | + | 10.8431i | −2.18417 | + | 0.857224i | ||||
\(161\) | −0.00372129 | + | 0.0163040i | −0.000293279 | + | 0.00128494i | ||||
\(162\) | −1.39554 | + | 18.6221i | −0.109644 | + | 1.46309i | ||||
\(163\) | 3.98588 | + | 12.9219i | 0.312198 | + | 1.01212i | 0.966668 | + | 0.256033i | \(0.0824156\pi\) |
−0.654470 | + | 0.756088i | \(0.727108\pi\) | |||||||
\(164\) | −9.06970 | + | 18.8334i | −0.708224 | + | 1.47064i | ||||
\(165\) | −0.510864 | + | 0.294947i | −0.0397707 | + | 0.0229616i | ||||
\(166\) | −1.97516 | + | 3.42107i | −0.153302 | + | 0.265526i | ||||
\(167\) | −5.83502 | − | 8.55840i | −0.451527 | − | 0.662269i | 0.531218 | − | 0.847235i | \(-0.321735\pi\) |
−0.982745 | + | 0.184967i | \(0.940782\pi\) | |||||||
\(168\) | −0.000167926 | 0 | 0.000735731i | −1.29557e−5 | 0 | 5.67628e-5i | ||||
\(169\) | 4.17195 | − | 0.628821i | 0.320919 | − | 0.0483708i | ||||
\(170\) | 14.8250 | + | 27.6581i | 1.13703 | + | 2.12128i | ||||
\(171\) | 18.7590 | 1.43454 | ||||||||
\(172\) | 9.87310 | + | 11.5476i | 0.752817 | + | 0.880499i | ||||
\(173\) | − | 14.1223i | − | 1.07370i | −0.843678 | − | 0.536849i | \(-0.819614\pi\) | ||
0.843678 | − | 0.536849i | \(-0.180386\pi\) | |||||||
\(174\) | −0.360445 | + | 0.451984i | −0.0273253 | + | 0.0342648i | ||||
\(175\) | −0.0392542 | − | 0.260435i | −0.00296734 | − | 0.0196870i | ||||
\(176\) | 13.9955 | − | 3.19438i | 1.05495 | − | 0.240785i | ||||
\(177\) | −0.178953 | − | 0.262476i | −0.0134509 | − | 0.0197289i | ||||
\(178\) | 4.59931 | − | 7.96624i | 0.344733 | − | 0.597095i | ||||
\(179\) | 12.4318 | + | 21.5325i | 0.929195 | + | 1.60941i | 0.784671 | + | 0.619912i | \(0.212832\pi\) |
0.144524 | + | 0.989501i | \(0.453835\pi\) | |||||||
\(180\) | 11.0423 | − | 22.9297i | 0.823047 | − | 1.70908i | ||||
\(181\) | −2.63928 | − | 8.55634i | −0.196176 | − | 0.635988i | −0.999198 | − | 0.0400383i | \(-0.987252\pi\) |
0.803022 | − | 0.595950i | \(-0.203224\pi\) | |||||||
\(182\) | 0.192079 | + | 0.0143944i | 0.0142379 | + | 0.00106698i | ||||
\(183\) | 0.0970970 | − | 0.425410i | 0.00717762 | − | 0.0314472i | ||||
\(184\) | 0.327634 | − | 0.128587i | 0.0241535 | − | 0.00947954i | ||||
\(185\) | 2.49404 | + | 33.2807i | 0.183366 | + | 2.44684i | ||||
\(186\) | −0.458525 | − | 0.0691115i | −0.0336207 | − | 0.00506750i | ||||
\(187\) | −6.08583 | − | 17.0718i | −0.445040 | − | 1.24841i | ||||
\(188\) | −1.28091 | + | 0.616854i | −0.0934200 | + | 0.0449887i | ||||
\(189\) | −0.00568055 | − | 0.00387293i | −0.000413199 | − | 0.000281714i | ||||
\(190\) | −44.3213 | − | 17.3948i | −3.21541 | − | 1.26195i | ||||
\(191\) | 7.87504 | + | 2.42913i | 0.569818 | + | 0.175766i | 0.566258 | − | 0.824228i | \(-0.308391\pi\) |
0.00355995 | + | 0.999994i | \(0.498867\pi\) | |||||||
\(192\) | 0.256717 | − | 0.276675i | 0.0185270 | − | 0.0199673i | ||||
\(193\) | 3.12932 | − | 2.49555i | 0.225254 | − | 0.179634i | −0.504360 | − | 0.863494i | \(-0.668271\pi\) |
0.729613 | + | 0.683860i | \(0.239700\pi\) | |||||||
\(194\) | 2.98050 | − | 2.37687i | 0.213988 | − | 0.170649i | ||||
\(195\) | −0.291506 | − | 0.270478i | −0.0208752 | − | 0.0193693i | ||||
\(196\) | 15.4956 | + | 4.77977i | 1.10683 | + | 0.341412i | ||||
\(197\) | 13.0261 | + | 5.11238i | 0.928074 | + | 0.364242i | 0.780748 | − | 0.624846i | \(-0.214838\pi\) |
0.147326 | + | 0.989088i | \(0.452933\pi\) | |||||||
\(198\) | −15.4276 | + | 22.6282i | −1.09640 | + | 1.60812i | ||||
\(199\) | 6.04482 | + | 12.5522i | 0.428506 | + | 0.889802i | 0.997712 | + | 0.0676072i | \(0.0215365\pi\) |
−0.569206 | + | 0.822195i | \(0.692749\pi\) | |||||||
\(200\) | −4.06337 | + | 3.77026i | −0.287324 | + | 0.266598i | ||||
\(201\) | 0.0247994 | − | 0.164533i | 0.00174921 | − | 0.0116053i | ||||
\(202\) | −1.10500 | − | 14.7452i | −0.0777475 | − | 1.03747i | ||||
\(203\) | 0.0868104 | + | 0.221189i | 0.00609290 | + | 0.0155244i | ||||
\(204\) | −0.282789 | − | 0.206167i | −0.0197992 | − | 0.0144346i | ||||
\(205\) | 2.46979 | − | 32.9570i | 0.172497 | − | 2.30182i | ||||
\(206\) | 37.6006 | − | 11.5982i | 2.61976 | − | 0.808088i | ||||
\(207\) | 0.695477 | − | 1.44417i | 0.0483390 | − | 0.100377i | ||||
\(208\) | 4.83865 | + | 8.38079i | 0.335500 | + | 0.581103i | ||||
\(209\) | 23.8147 | + | 13.7494i | 1.64730 | + | 0.951068i | ||||
\(210\) | 0.00491388 | + | 0.00720734i | 0.000339090 | + | 0.000497354i | ||||
\(211\) | 2.59983 | − | 0.593395i | 0.178980 | − | 0.0408510i | −0.132092 | − | 0.991238i | \(-0.542169\pi\) |
0.311071 | + | 0.950387i | \(0.399312\pi\) | |||||||
\(212\) | −10.9372 | + | 1.64852i | −0.751172 | + | 0.113221i | ||||
\(213\) | 0.0456768 | − | 0.0572769i | 0.00312972 | − | 0.00392455i | ||||
\(214\) | − | 12.2906i | − | 0.840171i | ||||||
\(215\) | −21.2009 | − | 11.2924i | −1.44589 | − | 0.770134i | ||||
\(216\) | 0.144697i | 0.00984540i | ||||||||
\(217\) | −0.118832 | + | 0.149011i | −0.00806685 | + | 0.0101155i | ||||
\(218\) | 5.10625 | + | 33.8778i | 0.345839 | + | 2.29449i | ||||
\(219\) | −0.0322613 | − | 0.141346i | −0.00218002 | − | 0.00955127i | ||||
\(220\) | 30.8246 | − | 21.0159i | 2.07820 | − | 1.41689i | ||||
\(221\) | 9.78790 | − | 7.31250i | 0.658406 | − | 0.491892i | ||||
\(222\) | −0.346739 | − | 0.600569i | −0.0232716 | − | 0.0403076i | ||||
\(223\) | −6.22412 | − | 2.99738i | −0.416798 | − | 0.200719i | 0.213718 | − | 0.976895i | \(-0.431442\pi\) |
−0.630516 | + | 0.776176i | \(0.717157\pi\) | |||||||
\(224\) | −0.0747145 | − | 0.242218i | −0.00499207 | − | 0.0161839i | ||||
\(225\) | −1.88651 | + | 25.1737i | −0.125767 | + | 1.67825i | ||||
\(226\) | 22.2524 | + | 5.07896i | 1.48021 | + | 0.337848i | ||||
\(227\) | 23.1253 | − | 9.07600i | 1.53488 | − | 0.602395i | 0.560668 | − | 0.828041i | \(-0.310544\pi\) |
0.974209 | + | 0.225646i | \(0.0724492\pi\) | |||||||
\(228\) | 0.529500 | − | 0.0396805i | 0.0350670 | − | 0.00262791i | ||||
\(229\) | −12.8840 | − | 1.94195i | −0.851398 | − | 0.128328i | −0.291175 | − | 0.956670i | \(-0.594046\pi\) |
−0.560222 | + | 0.828342i | \(0.689284\pi\) | |||||||
\(230\) | −2.98233 | + | 2.76720i | −0.196649 | + | 0.182464i | ||||
\(231\) | −0.00218593 | − | 0.00453912i | −0.000143823 | − | 0.000298652i | ||||
\(232\) | 2.81711 | − | 4.13194i | 0.184952 | − | 0.271275i | ||||
\(233\) | −7.73647 | − | 3.03634i | −0.506833 | − | 0.198917i | 0.0981261 | − | 0.995174i | \(-0.468715\pi\) |
−0.604959 | + | 0.796257i | \(0.706810\pi\) | |||||||
\(234\) | −17.6420 | − | 5.44183i | −1.15329 | − | 0.355743i | ||||
\(235\) | 1.52888 | − | 1.64774i | 0.0997329 | − | 0.107487i | ||||
\(236\) | 12.5265 | + | 15.7078i | 0.815408 | + | 1.02249i | ||||
\(237\) | −0.136344 | − | 0.170970i | −0.00885652 | − | 0.0111057i | ||||
\(238\) | −0.245018 | + | 0.108608i | −0.0158821 | + | 0.00704002i | ||||
\(239\) | −23.8948 | − | 7.37058i | −1.54563 | − | 0.476763i | −0.599451 | − | 0.800411i | \(-0.704615\pi\) |
−0.946178 | + | 0.323648i | \(0.895091\pi\) | |||||||
\(240\) | −0.160113 | + | 0.407961i | −0.0103352 | + | 0.0263337i | ||||
\(241\) | −3.93109 | + | 5.76585i | −0.253224 | + | 0.371411i | −0.931711 | − | 0.363202i | \(-0.881684\pi\) |
0.678487 | + | 0.734613i | \(0.262636\pi\) | |||||||
\(242\) | −15.5793 | + | 7.50260i | −1.00148 | + | 0.482286i | ||||
\(243\) | 0.672379 | + | 0.724653i | 0.0431332 | + | 0.0464865i | ||||
\(244\) | −4.11303 | + | 27.2882i | −0.263310 | + | 1.74695i | ||||
\(245\) | −25.5666 | + | 1.91596i | −1.63339 | + | 0.122406i | ||||
\(246\) | 0.250892 | + | 0.639262i | 0.0159963 | + | 0.0407578i | ||||
\(247\) | −4.12500 | + | 18.0728i | −0.262468 | + | 1.14995i | ||||
\(248\) | 4.00003 | + | 0.299761i | 0.254002 | + | 0.0190349i | ||||
\(249\) | 0.0205304 | + | 0.0665578i | 0.00130106 | + | 0.00421793i | ||||
\(250\) | 11.2889 | − | 23.4417i | 0.713973 | − | 1.48258i | ||||
\(251\) | −11.7662 | − | 20.3797i | −0.742678 | − | 1.28636i | −0.951272 | − | 0.308354i | \(-0.900222\pi\) |
0.208594 | − | 0.978002i | \(-0.433111\pi\) | |||||||
\(252\) | 0.188237 | + | 0.108679i | 0.0118578 | + | 0.00684613i | ||||
\(253\) | 1.94142 | − | 1.32364i | 0.122056 | − | 0.0832164i | ||||
\(254\) | −8.88492 | − | 38.9274i | −0.557489 | − | 2.44252i | ||||
\(255\) | 0.535282 | + | 0.140082i | 0.0335207 | + | 0.00877230i | ||||
\(256\) | 6.10902 | − | 7.66047i | 0.381814 | − | 0.478779i | ||||
\(257\) | −0.737714 | −0.0460173 | −0.0230087 | − | 0.999735i | \(-0.507325\pi\) | ||||
−0.0230087 | + | 0.999735i | \(0.507325\pi\) | |||||||
\(258\) | 0.498715 | + | 0.0202666i | 0.0310487 | + | 0.00126175i | ||||
\(259\) | −0.285034 | −0.0177111 | ||||||||
\(260\) | 19.6627 | + | 15.6805i | 1.21943 | + | 0.972464i | ||||
\(261\) | −3.39445 | − | 22.5207i | −0.210111 | − | 1.39400i | ||||
\(262\) | −3.53671 | + | 0.807231i | −0.218499 | + | 0.0498709i | ||||
\(263\) | 9.45819 | − | 6.44849i | 0.583217 | − | 0.397631i | −0.235461 | − | 0.971884i | \(-0.575660\pi\) |
0.818678 | + | 0.574253i | \(0.194708\pi\) | |||||||
\(264\) | −0.0530160 | + | 0.0918265i | −0.00326291 | + | 0.00565153i | ||||
\(265\) | 15.1447 | − | 8.74379i | 0.930331 | − | 0.537127i | ||||
\(266\) | 0.176434 | − | 0.366370i | 0.0108179 | − | 0.0224636i | ||||
\(267\) | −0.0478067 | − | 0.154985i | −0.00292572 | − | 0.00948496i | ||||
\(268\) | −0.786403 | + | 10.4938i | −0.0480372 | + | 0.641012i | ||||
\(269\) | −28.1832 | − | 6.43263i | −1.71836 | − | 0.392204i | −0.754016 | − | 0.656856i | \(-0.771886\pi\) |
−0.964344 | + | 0.264652i | \(0.914743\pi\) | |||||||
\(270\) | −0.611057 | − | 1.55695i | −0.0371877 | − | 0.0947528i | ||||
\(271\) | −0.621711 | − | 8.29616i | −0.0377663 | − | 0.503956i | −0.983726 | − | 0.179673i | \(-0.942496\pi\) |
0.945960 | − | 0.324283i | \(-0.105123\pi\) | |||||||
\(272\) | −11.4429 | − | 7.09713i | −0.693825 | − | 0.430327i | ||||
\(273\) | 0.00248963 | − | 0.00231004i | 0.000150680 | − | 0.000139810i | ||||
\(274\) | −15.2261 | + | 7.33249i | −0.919840 | + | 0.442972i | ||||
\(275\) | −20.8460 | + | 30.5755i | −1.25706 | + | 1.84377i | ||||
\(276\) | 0.0165760 | − | 0.0422349i | 0.000997758 | − | 0.00254224i | ||||
\(277\) | −2.85286 | + | 9.24873i | −0.171411 | + | 0.555702i | −0.999991 | − | 0.00416861i | \(-0.998673\pi\) |
0.828580 | + | 0.559871i | \(0.189149\pi\) | |||||||
\(278\) | −20.5171 | + | 22.1121i | −1.23053 | + | 1.32620i | ||||
\(279\) | 14.2825 | − | 11.3899i | 0.855071 | − | 0.681897i | ||||
\(280\) | −0.0470476 | − | 0.0589959i | −0.00281163 | − | 0.00352568i | ||||
\(281\) | −4.97305 | − | 4.61431i | −0.296667 | − | 0.275267i | 0.517768 | − | 0.855521i | \(-0.326763\pi\) |
−0.814436 | + | 0.580254i | \(0.802953\pi\) | |||||||
\(282\) | −0.0137670 | + | 0.0446315i | −0.000819812 | + | 0.00265777i | ||||
\(283\) | −2.40580 | − | 0.944207i | −0.143010 | − | 0.0561273i | 0.292757 | − | 0.956187i | \(-0.405427\pi\) |
−0.435767 | + | 0.900060i | \(0.643523\pi\) | |||||||
\(284\) | −2.60999 | + | 3.82815i | −0.154874 | + | 0.227159i | ||||
\(285\) | −0.756373 | + | 0.364250i | −0.0448037 | + | 0.0215763i | ||||
\(286\) | −18.4080 | − | 19.8391i | −1.08849 | − | 1.17311i | ||||
\(287\) | 0.279109 | + | 0.0420689i | 0.0164753 | + | 0.00248325i | ||||
\(288\) | 1.81562 | + | 24.2278i | 0.106987 | + | 1.42764i | ||||
\(289\) | −7.19659 | + | 15.4016i | −0.423329 | + | 0.905976i | ||||
\(290\) | −12.8630 | + | 56.3565i | −0.755342 | + | 3.30937i | ||||
\(291\) | 0.00502315 | − | 0.0670293i | 0.000294462 | − | 0.00392933i | ||||
\(292\) | 2.70265 | + | 8.76178i | 0.158161 | + | 0.512744i | ||||
\(293\) | −14.8216 | − | 7.13770i | −0.865886 | − | 0.416989i | −0.0524366 | − | 0.998624i | \(-0.516699\pi\) |
−0.813450 | + | 0.581635i | \(0.802413\pi\) | |||||||
\(294\) | 0.461365 | − | 0.266369i | 0.0269074 | − | 0.0155350i | ||||
\(295\) | −27.5091 | − | 15.8824i | −1.60164 | − | 0.924708i | ||||
\(296\) | 3.37930 | + | 4.95652i | 0.196418 | + | 0.288092i | ||||
\(297\) | 0.214955 | + | 0.941778i | 0.0124729 | + | 0.0546475i | ||||
\(298\) | 28.4579 | − | 4.28934i | 1.64852 | − | 0.248475i | ||||
\(299\) | 1.23841 | + | 0.987602i | 0.0716193 | + | 0.0571145i | ||||
\(300\) | 0.714554i | 0.0412548i | ||||||||
\(301\) | 0.109705 | − | 0.173355i | 0.00632330 | − | 0.00999201i | ||||
\(302\) | −32.5972 | −1.87576 | ||||||||
\(303\) | −0.203838 | − | 0.162555i | −0.0117102 | − | 0.00933854i | ||||
\(304\) | 20.2018 | − | 3.04493i | 1.15865 | − | 0.174639i | ||||
\(305\) | −9.70885 | − | 42.5373i | −0.555927 | − | 2.43568i | ||||
\(306\) | 25.2123 | − | 4.92313i | 1.44129 | − | 0.281437i | ||||
\(307\) | 0.260830 | − | 0.451771i | 0.0148864 | − | 0.0257839i | −0.858486 | − | 0.512837i | \(-0.828595\pi\) |
0.873373 | + | 0.487053i | \(0.161928\pi\) | |||||||
\(308\) | 0.159313 | + | 0.275937i | 0.00907767 | + | 0.0157230i | ||||
\(309\) | 0.301029 | − | 0.625093i | 0.0171249 | − | 0.0355603i | ||||
\(310\) | −44.3064 | + | 13.6667i | −2.51644 | + | 0.776218i | ||||
\(311\) | 0.289825 | + | 0.0217194i | 0.0164345 | + | 0.00123159i | 0.0829448 | − | 0.996554i | \(-0.473567\pi\) |
−0.0665103 | + | 0.997786i | \(0.521187\pi\) | |||||||
\(312\) | −0.0696865 | − | 0.0159055i | −0.00394522 | − | 0.000900471i | ||||
\(313\) | 31.8943 | − | 12.5176i | 1.80277 | − | 0.707536i | 0.810160 | − | 0.586208i | \(-0.199380\pi\) |
0.992612 | − | 0.121328i | \(-0.0387153\pi\) | |||||||
\(314\) | 2.73077 | + | 36.4397i | 0.154107 | + | 2.05641i | ||||
\(315\) | −0.339814 | − | 0.0512188i | −0.0191464 | − | 0.00288585i | ||||
\(316\) | 9.40687 | + | 10.1382i | 0.529178 | + | 0.570318i | ||||
\(317\) | 10.0431 | + | 20.8548i | 0.564079 | + | 1.17132i | 0.966690 | + | 0.255951i | \(0.0823884\pi\) |
−0.402611 | + | 0.915371i | \(0.631897\pi\) | |||||||
\(318\) | −0.204696 | + | 0.300234i | −0.0114788 | + | 0.0168363i | ||||
\(319\) | 12.1973 | − | 31.0782i | 0.682916 | − | 1.74004i | ||||
\(320\) | 11.1239 | − | 36.0630i | 0.621848 | − | 2.01598i | ||||
\(321\) | −0.158860 | − | 0.147400i | −0.00886668 | − | 0.00822708i | ||||
\(322\) | −0.0216640 | − | 0.0271658i | −0.00120729 | − | 0.00151389i | ||||
\(323\) | −6.82123 | − | 24.8750i | −0.379543 | − | 1.38408i | ||||
\(324\) | −15.2652 | − | 14.1640i | −0.848066 | − | 0.786891i | ||||
\(325\) | −23.8380 | − | 7.35306i | −1.32230 | − | 0.407874i | ||||
\(326\) | −26.1541 | − | 10.2647i | −1.44854 | − | 0.568510i | ||||
\(327\) | 0.499117 | + | 0.340292i | 0.0276013 | + | 0.0188182i | ||||
\(328\) | −2.57751 | − | 5.35225i | −0.142319 | − | 0.295529i | ||||
\(329\) | 0.0130575 | + | 0.0140726i | 0.000719884 | + | 0.000775850i | ||||
\(330\) | 0.182671 | − | 1.21194i | 0.0100557 | − | 0.0667153i | ||||
\(331\) | −1.09414 | − | 14.6002i | −0.0601392 | − | 0.802502i | −0.942984 | − | 0.332837i | \(-0.891994\pi\) |
0.882845 | − | 0.469664i | \(-0.155625\pi\) | |||||||
\(332\) | −1.60935 | − | 4.10057i | −0.0883248 | − | 0.225048i | ||||
\(333\) | 26.6351 | + | 6.07930i | 1.45960 | + | 0.333143i | ||||
\(334\) | 21.4614 | + | 1.60831i | 1.17431 | + | 0.0880026i | ||||
\(335\) | −4.90405 | − | 15.8986i | −0.267937 | − | 0.868631i | ||||
\(336\) | −0.00337229 | − | 0.00162401i | −0.000183974 | − | 8.85970e-5i | ||||
\(337\) | −28.1333 | + | 16.2428i | −1.53252 | + | 0.884799i | −0.533273 | + | 0.845943i | \(0.679038\pi\) |
−0.999245 | + | 0.0388559i | \(0.987629\pi\) | |||||||
\(338\) | −4.38302 | + | 7.59162i | −0.238405 | + | 0.412929i | ||||
\(339\) | 0.332517 | − | 0.226706i | 0.0180598 | − | 0.0123130i | ||||
\(340\) | −34.4207 | − | 6.30471i | −1.86672 | − | 0.341921i | ||||
\(341\) | 26.4800 | − | 3.99122i | 1.43397 | − | 0.216136i | ||||
\(342\) | −24.3011 | + | 30.4726i | −1.31405 | + | 1.64777i | ||||
\(343\) | − | 0.437964i | − | 0.0236478i | ||||||
\(344\) | −4.31515 | + | 0.147569i | −0.232657 | + | 0.00795636i | ||||
\(345\) | 0.0717341i | 0.00386203i | ||||||||
\(346\) | 22.9406 | + | 18.2945i | 1.23329 | + | 0.983519i | ||||
\(347\) | −2.07020 | − | 13.7349i | −0.111134 | − | 0.737327i | −0.973104 | − | 0.230367i | \(-0.926007\pi\) |
0.861970 | − | 0.506960i | \(-0.169231\pi\) | |||||||
\(348\) | −0.143451 | − | 0.628499i | −0.00768976 | − | 0.0336911i | ||||
\(349\) | 4.79823 | − | 3.27138i | 0.256843 | − | 0.175113i | −0.428052 | − | 0.903754i | \(-0.640800\pi\) |
0.684896 | + | 0.728641i | \(0.259848\pi\) | |||||||
\(350\) | 0.473908 | + | 0.273611i | 0.0253314 | + | 0.0146251i | ||||
\(351\) | −0.563956 | + | 0.325600i | −0.0301017 | + | 0.0173793i | ||||
\(352\) | −15.4528 | + | 32.0881i | −0.823638 | + | 1.71030i | ||||
\(353\) | 9.74815 | − | 3.00691i | 0.518842 | − | 0.160041i | −0.0242643 | − | 0.999706i | \(-0.507724\pi\) |
0.543106 | + | 0.839664i | \(0.317248\pi\) | |||||||
\(354\) | 0.658194 | + | 0.0493248i | 0.0349826 | + | 0.00262158i | ||||
\(355\) | 1.63004 | − | 7.14168i | 0.0865137 | − | 0.379041i | ||||
\(356\) | 3.74752 | + | 9.54851i | 0.198618 | + | 0.506070i | ||||
\(357\) | −0.00153468 | + | 0.00446944i | −8.12239e−5 | + | 0.000236548i | ||||
\(358\) | −51.0825 | − | 7.69944i | −2.69979 | − | 0.406928i | ||||
\(359\) | −18.9040 | + | 17.5404i | −0.997717 | + | 0.925746i | −0.997239 | − | 0.0742541i | \(-0.976342\pi\) |
−0.000477306 | 1.00000i | \(0.500152\pi\) | ||||||||
\(360\) | 3.13811 | + | 6.51635i | 0.165393 | + | 0.343442i | ||||
\(361\) | 16.6364 | + | 11.3425i | 0.875600 | + | 0.596974i | ||||
\(362\) | 17.3181 | + | 6.79687i | 0.910222 | + | 0.357236i | ||||
\(363\) | −0.0898678 | + | 0.291344i | −0.00471684 | + | 0.0152916i | ||||
\(364\) | −0.146096 | + | 0.157454i | −0.00765750 | + | 0.00825283i | ||||
\(365\) | −9.03862 | − | 11.3341i | −0.473103 | − | 0.593252i | ||||
\(366\) | 0.565263 | + | 0.708817i | 0.0295468 | + | 0.0370505i | ||||
\(367\) | 0.465921 | − | 0.502143i | 0.0243209 | − | 0.0262117i | −0.720774 | − | 0.693170i | \(-0.756214\pi\) |
0.745095 | + | 0.666958i | \(0.232404\pi\) | |||||||
\(368\) | 0.514551 | − | 1.66813i | 0.0268228 | − | 0.0869574i | ||||
\(369\) | −25.1842 | − | 9.88409i | −1.31104 | − | 0.514545i | ||||
\(370\) | −57.2928 | − | 39.0616i | −2.97851 | − | 2.03071i | ||||
\(371\) | 0.0648024 | + | 0.134564i | 0.00336437 | + | 0.00698619i | ||||
\(372\) | 0.379051 | − | 0.351708i | 0.0196529 | − | 0.0182352i | ||||
\(373\) | −24.2929 | − | 3.66156i | −1.25784 | − | 0.189588i | −0.513907 | − | 0.857846i | \(-0.671802\pi\) |
−0.743930 | + | 0.668257i | \(0.767041\pi\) | |||||||
\(374\) | 35.6156 | + | 12.2294i | 1.84164 | + | 0.632366i | ||||
\(375\) | −0.167603 | − | 0.427045i | −0.00865497 | − | 0.0220525i | ||||
\(376\) | 0.0899057 | − | 0.393903i | 0.00463653 | − | 0.0203140i | ||||
\(377\) | 22.4433 | + | 1.68189i | 1.15589 | + | 0.0866220i | ||||
\(378\) | 0.0136501 | − | 0.00421049i | 0.000702084 | − | 0.000216564i | ||||
\(379\) | −10.7507 | + | 22.3241i | −0.552227 | + | 1.14671i | 0.418875 | + | 0.908044i | \(0.362425\pi\) |
−0.971102 | + | 0.238667i | \(0.923290\pi\) | |||||||
\(380\) | 45.9806 | − | 26.5469i | 2.35876 | − | 1.36183i | ||||
\(381\) | −0.609701 | − | 0.352011i | −0.0312360 | − | 0.0180341i | ||||
\(382\) | −14.1475 | + | 9.64563i | −0.723851 | + | 0.493513i | ||||
\(383\) | −3.67918 | − | 16.1195i | −0.187997 | − | 0.823670i | −0.977671 | − | 0.210143i | \(-0.932607\pi\) |
0.789673 | − | 0.613528i | \(-0.210250\pi\) | |||||||
\(384\) | 0.0284000 | + | 0.188422i | 0.00144928 | + | 0.00961537i | ||||
\(385\) | −0.393856 | − | 0.314090i | −0.0200728 | − | 0.0160075i | ||||
\(386\) | 8.31617i | 0.423282i | ||||||||
\(387\) | −13.9488 | + | 13.8594i | −0.709059 | + | 0.704514i | ||||
\(388\) | 4.25107i | 0.215815i | ||||||||
\(389\) | −3.87385 | + | 4.85765i | −0.196412 | + | 0.246293i | −0.870278 | − | 0.492561i | \(-0.836061\pi\) |
0.673866 | + | 0.738853i | \(0.264632\pi\) | |||||||
\(390\) | 0.816999 | − | 0.123143i | 0.0413703 | − | 0.00623557i | ||||
\(391\) | −2.16791 | − | 0.397088i | −0.109636 | − | 0.0200816i | ||||
\(392\) | −3.80766 | + | 2.59602i | −0.192316 | + | 0.131119i | ||||
\(393\) | −0.0319817 | + | 0.0553939i | −0.00161326 | + | 0.00279425i | ||||
\(394\) | −25.1792 | + | 14.5372i | −1.26851 | + | 0.732374i | ||||
\(395\) | −19.7006 | − | 9.48732i | −0.991246 | − | 0.477359i | ||||
\(396\) | −9.00177 | − | 29.1830i | −0.452356 | − | 1.46650i | ||||
\(397\) | 13.9223 | + | 1.04334i | 0.698743 | + | 0.0523635i | 0.419365 | − | 0.907818i | \(-0.362253\pi\) |
0.279378 | + | 0.960181i | \(0.409872\pi\) | |||||||
\(398\) | −28.2208 | − | 6.44121i | −1.41458 | − | 0.322869i | ||||
\(399\) | −0.00261946 | − | 0.00667429i | −0.000131137 | − | 0.000334132i | ||||
\(400\) | 2.05455 | + | 27.4160i | 0.102727 | + | 1.37080i | ||||
\(401\) | 0.318616 | − | 2.11388i | 0.0159109 | − | 0.105562i | −0.979466 | − | 0.201611i | \(-0.935382\pi\) |
0.995377 | + | 0.0960487i | \(0.0306205\pi\) | |||||||
\(402\) | 0.235146 | + | 0.253427i | 0.0117280 | + | 0.0126398i | ||||
\(403\) | 7.83263 | + | 16.2646i | 0.390171 | + | 0.810199i | ||||
\(404\) | 13.6237 | + | 9.28847i | 0.677803 | + | 0.462118i | ||||
\(405\) | 30.6480 | + | 12.0285i | 1.52291 | + | 0.597699i | ||||
\(406\) | −0.471763 | − | 0.145519i | −0.0234132 | − | 0.00722201i | ||||
\(407\) | 29.3577 | + | 27.2399i | 1.45521 | + | 1.35023i | ||||
\(408\) | 0.0959150 | − | 0.0263018i | 0.00474850 | − | 0.00130213i | ||||
\(409\) | 11.9640 | + | 15.0024i | 0.591581 | + | 0.741819i | 0.984039 | − | 0.177951i | \(-0.0569468\pi\) |
−0.392459 | + | 0.919770i | \(0.628375\pi\) | |||||||
\(410\) | 50.3367 | + | 46.7056i | 2.48595 | + | 2.30663i | ||||
\(411\) | −0.0878301 | + | 0.284738i | −0.00433234 | + | 0.0140451i | ||||
\(412\) | −16.0307 | + | 40.8454i | −0.789774 | + | 2.01231i | ||||
\(413\) | 0.152823 | − | 0.224150i | 0.00751993 | − | 0.0110297i | ||||
\(414\) | 1.44500 | + | 3.00058i | 0.0710181 | + | 0.147471i | ||||
\(415\) | 4.73715 | + | 5.10543i | 0.232537 | + | 0.250616i | ||||
\(416\) | −23.7408 | − | 3.57835i | −1.16399 | − | 0.175443i | ||||
\(417\) | 0.0397462 | + | 0.530376i | 0.00194638 | + | 0.0259726i | ||||
\(418\) | −53.1853 | + | 20.8737i | −2.60138 | + | 1.02097i | ||||
\(419\) | 21.1255 | + | 4.82175i | 1.03205 | + | 0.235558i | 0.704818 | − | 0.709388i | \(-0.251028\pi\) |
0.327228 | + | 0.944946i | \(0.393886\pi\) | |||||||
\(420\) | −0.00970008 | 0.000726921i | −0.000473316 | 3.54701e-5i | ||||||
\(421\) | 14.9574 | − | 4.61374i | 0.728978 | − | 0.224860i | 0.0920189 | − | 0.995757i | \(-0.470668\pi\) |
0.636960 | + | 0.770897i | \(0.280192\pi\) | |||||||
\(422\) | −2.40399 | + | 4.99193i | −0.117024 | + | 0.243004i | ||||
\(423\) | −0.920021 | − | 1.59352i | −0.0447330 | − | 0.0774797i | ||||
\(424\) | 1.57168 | − | 2.72222i | 0.0763273 | − | 0.132203i | ||||
\(425\) | 34.0671 | − | 6.65219i | 1.65250 | − | 0.322679i | ||||
\(426\) | 0.0338706 | + | 0.148397i | 0.00164104 | + | 0.00718985i | ||||
\(427\) | 0.368474 | − | 0.0555385i | 0.0178317 | − | 0.00268770i | ||||
\(428\) | 10.7154 | + | 8.54527i | 0.517950 | + | 0.413051i | ||||
\(429\) | −0.477191 | −0.0230390 | ||||||||
\(430\) | 45.8080 | − | 19.8108i | 2.20906 | − | 0.955359i | ||||
\(431\) | 26.4092i | 1.27208i | 0.771654 | + | 0.636042i | \(0.219430\pi\) | ||||
−0.771654 | + | 0.636042i | \(0.780570\pi\) | |||||||
\(432\) | 0.561102 | + | 0.447464i | 0.0269961 | + | 0.0215286i | ||||
\(433\) | 8.22428 | − | 1.23961i | 0.395234 | − | 0.0595719i | 0.0515812 | − | 0.998669i | \(-0.483574\pi\) |
0.343652 | + | 0.939097i | \(0.388336\pi\) | |||||||
\(434\) | −0.0881174 | − | 0.386068i | −0.00422977 | − | 0.0185318i | ||||
\(435\) | 0.574158 | + | 0.842135i | 0.0275288 | + | 0.0403773i | ||||
\(436\) | −33.0861 | − | 19.1023i | −1.58454 | − | 0.914833i | ||||
\(437\) | 2.89599 | − | 1.67200i | 0.138534 | − | 0.0799825i | ||||
\(438\) | 0.271398 | + | 0.130698i | 0.0129679 | + | 0.00624501i | ||||
\(439\) | −2.08641 | − | 6.76397i | −0.0995788 | − | 0.322827i | 0.892052 | − | 0.451933i | \(-0.149265\pi\) |
−0.991631 | + | 0.129106i | \(0.958789\pi\) | |||||||
\(440\) | −0.792310 | + | 10.5726i | −0.0377719 | + | 0.504031i | ||||
\(441\) | −4.67020 | + | 20.4615i | −0.222390 | + | 0.974356i | ||||
\(442\) | −0.800989 | + | 25.3726i | −0.0380991 | + | 1.20685i | ||||
\(443\) | 1.96067 | + | 26.1633i | 0.0931541 | + | 1.24305i | 0.826397 | + | 0.563088i | \(0.190387\pi\) |
−0.733243 | + | 0.679967i | \(0.761994\pi\) | |||||||
\(444\) | 0.764674 | + | 0.115256i | 0.0362898 | + | 0.00546981i | ||||
\(445\) | −11.0308 | − | 11.8884i | −0.522912 | − | 0.563565i | ||||
\(446\) | 12.9319 | − | 6.22770i | 0.612346 | − | 0.294890i | ||||
\(447\) | 0.285851 | − | 0.419267i | 0.0135203 | − | 0.0198306i | ||||
\(448\) | 0.300038 | + | 0.117756i | 0.0141755 | + | 0.00556346i | ||||
\(449\) | −9.52537 | + | 30.8805i | −0.449530 | + | 1.45734i | 0.393425 | + | 0.919357i | \(0.371290\pi\) |
−0.842955 | + | 0.537984i | \(0.819186\pi\) | |||||||
\(450\) | −38.4489 | − | 35.6754i | −1.81250 | − | 1.68175i | ||||
\(451\) | −24.7270 | − | 31.0067i | −1.16435 | − | 1.46005i | ||||
\(452\) | −19.8994 | + | 15.8692i | −0.935988 | + | 0.746425i | ||||
\(453\) | −0.390935 | + | 0.421327i | −0.0183677 | + | 0.0197957i | ||||
\(454\) | −15.2140 | + | 49.3226i | −0.714029 | + | 2.31482i | ||||
\(455\) | 0.124068 | − | 0.316121i | 0.00581642 | − | 0.0148200i | ||||
\(456\) | −0.0850050 | + | 0.124679i | −0.00398072 | + | 0.00583865i | ||||
\(457\) | 19.2758 | − | 9.28275i | 0.901685 | − | 0.434229i | 0.0751879 | − | 0.997169i | \(-0.476044\pi\) |
0.826497 | + | 0.562941i | \(0.190330\pi\) | |||||||
\(458\) | 19.8449 | − | 18.4134i | 0.927292 | − | 0.860401i | ||||
\(459\) | 0.477577 | − | 0.770007i | 0.0222914 | − | 0.0359409i | ||||
\(460\) | −0.339030 | − | 4.52405i | −0.0158074 | − | 0.210935i | ||||
\(461\) | −11.6325 | − | 29.6390i | −0.541778 | − | 1.38043i | −0.895493 | − | 0.445075i | \(-0.853177\pi\) |
0.353715 | − | 0.935353i | \(-0.384918\pi\) | |||||||
\(462\) | 0.0102052 | + | 0.00232927i | 0.000474788 | + | 0.000108367i | ||||
\(463\) | −1.45708 | + | 19.4433i | −0.0677160 | + | 0.903608i | 0.855124 | + | 0.518424i | \(0.173481\pi\) |
−0.922840 | + | 0.385184i | \(0.874138\pi\) | |||||||
\(464\) | −7.31104 | − | 23.7018i | −0.339406 | − | 1.10033i | ||||
\(465\) | −0.354716 | + | 0.736575i | −0.0164496 | + | 0.0341579i | ||||
\(466\) | 14.9544 | − | 8.63392i | 0.692749 | − | 0.399959i | ||||
\(467\) | −8.61963 | + | 14.9296i | −0.398869 | + | 0.690862i | −0.993587 | − | 0.113073i | \(-0.963931\pi\) |
0.594718 | + | 0.803935i | \(0.297264\pi\) | |||||||
\(468\) | 17.0103 | − | 11.5974i | 0.786299 | − | 0.536090i | ||||
\(469\) | 0.138533 | − | 0.0316193i | 0.00639687 | − | 0.00146004i | ||||
\(470\) | 0.696064 | + | 4.61808i | 0.0321070 | + | 0.213016i | ||||
\(471\) | 0.503741 | + | 0.401720i | 0.0232112 | + | 0.0185103i | ||||
\(472\) | −5.70964 | −0.262807 | ||||||||
\(473\) | −27.8664 | + | 7.37083i | −1.28130 | + | 0.338911i | ||||
\(474\) | 0.454354 | 0.0208692 | ||||||||
\(475\) | −32.8359 | + | 41.1749i | −1.50661 | + | 1.88924i | ||||
\(476\) | 0.0756640 | − | 0.289127i | 0.00346805 | − | 0.0132521i | ||||
\(477\) | −3.18548 | − | 13.9565i | −0.145853 | − | 0.639025i | ||||
\(478\) | 42.9272 | − | 29.2673i | 1.96344 | − | 1.33865i | ||||
\(479\) | 27.5257 | + | 15.8920i | 1.25768 | + | 0.726122i | 0.972623 | − | 0.232388i | \(-0.0746541\pi\) |
0.285057 | + | 0.958510i | \(0.407987\pi\) | |||||||
\(480\) | −0.543646 | − | 0.941622i | −0.0248139 | − | 0.0429790i | ||||
\(481\) | −11.7138 | + | 24.3240i | −0.534105 | + | 1.10908i | ||||
\(482\) | −4.27371 | − | 13.8550i | −0.194662 | − | 0.631080i | ||||
\(483\) | −0.000610938 | 0 | 4.57835e-5i | −2.77986e−5 | 0 | 2.08322e-6i | ||||
\(484\) | 4.29073 | − | 18.7989i | 0.195033 | − | 0.854497i | ||||
\(485\) | −2.45551 | − | 6.25653i | −0.111499 | − | 0.284094i | ||||
\(486\) | −2.04817 | + | 0.153489i | −0.0929067 | + | 0.00696240i | ||||
\(487\) | 3.69730 | − | 24.5300i | 0.167541 | − | 1.11156i | −0.734090 | − | 0.679052i | \(-0.762391\pi\) |
0.901630 | − | 0.432507i | \(-0.142371\pi\) | |||||||
\(488\) | −5.33432 | − | 5.74903i | −0.241473 | − | 0.260246i | ||||
\(489\) | −0.446337 | + | 0.214945i | −0.0201841 | + | 0.00972013i | ||||
\(490\) | 30.0076 | − | 44.0131i | 1.35561 | − | 1.98831i | ||||
\(491\) | 1.97070 | − | 5.02126i | 0.0889363 | − | 0.226606i | −0.879484 | − | 0.475928i | \(-0.842112\pi\) |
0.968421 | + | 0.249322i | \(0.0802076\pi\) | |||||||
\(492\) | −0.731769 | − | 0.225721i | −0.0329907 | − | 0.0101763i | ||||
\(493\) | −28.6288 | + | 12.6902i | −1.28938 | + | 0.571538i | ||||
\(494\) | −24.0142 | − | 30.1129i | −1.08045 | − | 1.35484i | ||||
\(495\) | 30.1051 | + | 37.7506i | 1.35312 | + | 1.69676i | ||||
\(496\) | 13.5322 | − | 14.5842i | 0.607613 | − | 0.654851i | ||||
\(497\) | 0.0597833 | + | 0.0184407i | 0.00268165 | + | 0.000827178i | ||||
\(498\) | −0.134714 | − | 0.0528713i | −0.00603667 | − | 0.00236922i | ||||
\(499\) | −6.59641 | + | 9.67516i | −0.295296 | + | 0.433120i | −0.945001 | − | 0.327066i | \(-0.893940\pi\) |
0.649705 | + | 0.760186i | \(0.274892\pi\) | |||||||
\(500\) | 12.5885 | + | 26.1403i | 0.562975 | + | 1.16903i | ||||
\(501\) | 0.278171 | − | 0.258105i | 0.0124278 | − | 0.0115313i | ||||
\(502\) | 48.3477 | + | 7.28724i | 2.15786 | + | 0.325245i | ||||
\(503\) | −15.2761 | + | 1.14478i | −0.681127 | + | 0.0510434i | −0.410800 | − | 0.911725i | \(-0.634751\pi\) |
−0.270326 | + | 0.962769i | \(0.587132\pi\) | |||||||
\(504\) | −0.0575008 | + | 0.0225674i | −0.00256129 | + | 0.00100523i | ||||
\(505\) | −25.4159 | − | 5.80101i | −1.13099 | − | 0.258142i | ||||
\(506\) | −0.364834 | + | 4.86837i | −0.0162189 | + | 0.216426i | ||||
\(507\) | 0.0455585 | + | 0.147697i | 0.00202332 | + | 0.00655945i | ||||
\(508\) | 40.1157 | + | 19.3187i | 1.77985 | + | 0.857128i | ||||
\(509\) | −5.74802 | − | 9.95587i | −0.254777 | − | 0.441286i | 0.710058 | − | 0.704143i | \(-0.248669\pi\) |
−0.964835 | + | 0.262857i | \(0.915335\pi\) | |||||||
\(510\) | −0.920977 | + | 0.688058i | −0.0407815 | + | 0.0304677i | ||||
\(511\) | 0.102298 | − | 0.0697454i | 0.00452539 | − | 0.00308536i | ||||
\(512\) | 6.84485 | + | 29.9892i | 0.302502 | + | 1.32535i | ||||
\(513\) | 0.204898 | + | 1.35941i | 0.00904646 | + | 0.0600193i | ||||
\(514\) | 0.955660 | − | 1.19836i | 0.0421524 | − | 0.0528574i | ||||
\(515\) | − | 69.3741i | − | 3.05699i | ||||||
\(516\) | −0.364409 | + | 0.420708i | −0.0160422 | + | 0.0185206i | ||||
\(517\) | − | 2.69732i | − | 0.118628i | ||||||
\(518\) | 0.369242 | − | 0.463015i | 0.0162236 | − | 0.0203437i | ||||
\(519\) | 0.511585 | − | 0.0771090i | 0.0224561 | − | 0.00338471i | ||||
\(520\) | −6.96804 | + | 1.59041i | −0.305569 | + | 0.0697441i | ||||
\(521\) | −16.7490 | − | 24.5663i | −0.733789 | − | 1.07627i | −0.993856 | − | 0.110680i | \(-0.964697\pi\) |
0.260067 | − | 0.965591i | \(-0.416255\pi\) | |||||||
\(522\) | 40.9805 | + | 23.6601i | 1.79367 | + | 1.03557i | ||||
\(523\) | −10.4512 | − | 18.1019i | −0.456997 | − | 0.791543i | 0.541803 | − | 0.840505i | \(-0.317742\pi\) |
−0.998801 | + | 0.0489627i | \(0.984408\pi\) | |||||||
\(524\) | 1.75518 | − | 3.64467i | 0.0766755 | − | 0.159218i | ||||
\(525\) | 0.00922000 | − | 0.00284399i | 0.000402394 | − | 0.000124122i | ||||
\(526\) | −1.77740 | + | 23.7177i | −0.0774982 | + | 1.03414i | ||||
\(527\) | −20.2968 | − | 14.7974i | −0.884144 | − | 0.644585i | ||||
\(528\) | 0.192134 | + | 0.489550i | 0.00836157 | + | 0.0213049i | ||||
\(529\) | 1.69744 | + | 22.6508i | 0.0738017 | + | 0.984815i | ||||
\(530\) | −5.41534 | + | 35.9284i | −0.235227 | + | 1.56063i | ||||
\(531\) | −19.0614 | + | 17.6864i | −0.827194 | + | 0.767524i | ||||
\(532\) | 0.196746 | + | 0.408547i | 0.00853001 | + | 0.0177127i | ||||
\(533\) | 15.0604 | − | 22.0896i | 0.652338 | − | 0.956805i | ||||
\(534\) | 0.313693 | + | 0.123115i | 0.0135748 | + | 0.00532772i | ||||
\(535\) | −20.7064 | − | 6.38708i | −0.895216 | − | 0.276138i | ||||
\(536\) | −2.19226 | − | 2.03412i | −0.0946911 | − | 0.0878605i | ||||
\(537\) | −0.712143 | + | 0.567915i | −0.0307312 | + | 0.0245073i | ||||
\(538\) | 46.9588 | − | 37.4484i | 2.02454 | − | 1.61452i | ||||
\(539\) | −20.9261 | + | 22.5530i | −0.901350 | + | 0.971424i | ||||
\(540\) | 1.78225 | + | 0.549752i | 0.0766959 | + | 0.0236576i | ||||
\(541\) | 19.4586 | + | 7.63693i | 0.836590 | + | 0.328337i | 0.744673 | − | 0.667429i | \(-0.232605\pi\) |
0.0919167 | + | 0.995767i | \(0.470701\pi\) | |||||||
\(542\) | 14.2819 | + | 9.73721i | 0.613459 | + | 0.418249i | ||||
\(543\) | 0.295546 | − | 0.142327i | 0.0126831 | − | 0.00610785i | ||||
\(544\) | 31.4666 | − | 11.2174i | 1.34912 | − | 0.480941i | ||||
\(545\) | 59.7284 | + | 9.00261i | 2.55849 | + | 0.385630i | ||||
\(546\) | 0.000527330 | 0.00703673i | 2.25677e−5 | 0.000301144i | ||||||
\(547\) | 33.6989 | − | 13.2259i | 1.44086 | − | 0.565497i | 0.489072 | − | 0.872244i | \(-0.337336\pi\) |
0.951791 | + | 0.306747i | \(0.0992404\pi\) | |||||||
\(548\) | 4.19344 | − | 18.3727i | 0.179135 | − | 0.784842i | ||||
\(549\) | −35.6168 | − | 2.66911i | −1.52009 | − | 0.113915i | ||||
\(550\) | −22.6629 | − | 73.4713i | −0.966349 | − | 3.13283i | ||||
\(551\) | 20.6153 | − | 42.8081i | 0.878241 | − | 1.82369i | ||||
\(552\) | 0.00644701 | + | 0.0111666i | 0.000274403 | + | 0.000475280i | ||||
\(553\) | 0.0933744 | − | 0.161729i | 0.00397068 | − | 0.00687743i | ||||
\(554\) | −11.3282 | − | 16.6154i | −0.481288 | − | 0.705920i | ||||
\(555\) | −1.19199 | + | 0.272063i | −0.0505970 | + | 0.0115484i | ||||
\(556\) | −5.01334 | − | 33.2614i | −0.212613 | − | 1.41060i | ||||
\(557\) | −11.4666 | + | 14.3787i | −0.485856 | + | 0.609244i | −0.962974 | − | 0.269595i | \(-0.913110\pi\) |
0.477118 | + | 0.878839i | \(0.341681\pi\) | |||||||
\(558\) | 37.9557i | 1.60679i | ||||||||
\(559\) | −10.2852 | − | 16.4862i | −0.435017 | − | 0.697292i | ||||
\(560\) | −0.374263 | −0.0158155 | ||||||||
\(561\) | 0.585201 | − | 0.313674i | 0.0247072 | − | 0.0132433i | ||||
\(562\) | 13.9379 | − | 2.10079i | 0.587933 | − | 0.0886167i | ||||
\(563\) | 1.55000 | + | 6.79098i | 0.0653246 | + | 0.286206i | 0.997030 | − | 0.0770079i | \(-0.0245367\pi\) |
−0.931706 | + | 0.363214i | \(0.881680\pi\) | |||||||
\(564\) | −0.0293396 | − | 0.0430333i | −0.00123542 | − | 0.00181203i | ||||
\(565\) | 20.1206 | − | 34.8499i | 0.846479 | − | 1.46614i | ||||
\(566\) | 4.65035 | − | 2.68488i | 0.195469 | − | 0.112854i | ||||
\(567\) | −0.122004 | + | 0.253343i | −0.00512367 | + | 0.0106394i | ||||
\(568\) | −0.388108 | − | 1.25821i | −0.0162846 | − | 0.0527935i | ||||
\(569\) | 1.60871 | − | 21.4668i | 0.0674408 | − | 0.899935i | −0.856192 | − | 0.516657i | \(-0.827176\pi\) |
0.923633 | − | 0.383278i | \(-0.125205\pi\) | |||||||
\(570\) | 0.388135 | − | 1.70053i | 0.0162572 | − | 0.0712275i | ||||
\(571\) | −5.21860 | + | 2.04815i | −0.218391 | + | 0.0857123i | −0.472014 | − | 0.881591i | \(-0.656473\pi\) |
0.253623 | + | 0.967303i | \(0.418378\pi\) | |||||||
\(572\) | 30.0950 | − | 2.25530i | 1.25833 | − | 0.0942990i | ||||
\(573\) | −0.0449975 | + | 0.298539i | −0.00187980 | + | 0.0124717i | ||||
\(574\) | −0.429905 | + | 0.398894i | −0.0179439 | + | 0.0166495i | ||||
\(575\) | 1.95251 | + | 4.05442i | 0.0814251 | + | 0.169081i | ||||
\(576\) | −25.5257 | − | 17.4031i | −1.06357 | − | 0.725130i | ||||
\(577\) | 0.978444 | − | 2.49304i | 0.0407332 | − | 0.103786i | −0.909060 | − | 0.416666i | \(-0.863198\pi\) |
0.949793 | + | 0.312880i | \(0.101294\pi\) | |||||||
\(578\) | −15.6960 | − | 31.6421i | −0.652868 | − | 1.31614i | ||||
\(579\) | 0.107489 | + | 0.0997348i | 0.00446707 | + | 0.00414484i | ||||
\(580\) | −40.1905 | − | 50.3973i | −1.66882 | − | 2.09263i | ||||
\(581\) | −0.0465049 | + | 0.0370864i | −0.00192935 | + | 0.00153860i | ||||
\(582\) | 0.102377 | + | 0.0949918i | 0.00424366 | + | 0.00393754i | ||||
\(583\) | 6.18543 | − | 20.0527i | 0.256174 | − | 0.830497i | ||||
\(584\) | −2.42564 | − | 0.951994i | −0.100374 | − | 0.0393938i | ||||
\(585\) | −18.3360 | + | 26.8940i | −0.758101 | + | 1.11193i | ||||
\(586\) | 30.7950 | − | 14.8301i | 1.27213 | − | 0.612626i | ||||
\(587\) | −23.7209 | + | 22.0098i | −0.979068 | + | 0.908443i | −0.995813 | − | 0.0914172i | \(-0.970860\pi\) |
0.0167444 | + | 0.999860i | \(0.494670\pi\) | |||||||
\(588\) | −0.0885412 | + | 0.587433i | −0.00365138 | + | 0.0242253i | ||||
\(589\) | 38.0042 | − | 2.84802i | 1.56594 | − | 0.117351i | ||||
\(590\) | 61.4360 | − | 24.1118i | 2.52928 | − | 0.992669i | ||||
\(591\) | −0.114074 | + | 0.499790i | −0.00469237 | + | 0.0205586i | ||||
\(592\) | 29.6704 | + | 2.22349i | 1.21945 | + | 0.0913850i | ||||
\(593\) | 44.2430 | − | 13.6472i | 1.81684 | − | 0.560422i | 0.816976 | − | 0.576672i | \(-0.195649\pi\) |
0.999868 | + | 0.0162498i | \(0.00517270\pi\) | |||||||
\(594\) | −1.80831 | − | 0.870834i | −0.0741957 | − | 0.0357308i | ||||
\(595\) | 0.0556470 | + | 0.469229i | 0.00228130 | + | 0.0192365i | ||||
\(596\) | −16.0462 | + | 27.7929i | −0.657279 | + | 1.13844i | ||||
\(597\) | −0.421703 | + | 0.287512i | −0.0172591 | + | 0.0117671i | ||||
\(598\) | −3.20857 | + | 0.732335i | −0.131208 | + | 0.0299474i | ||||
\(599\) | 4.96041 | − | 0.747662i | 0.202677 | − | 0.0305486i | −0.0469190 | − | 0.998899i | \(-0.514940\pi\) |
0.249596 | + | 0.968350i | \(0.419702\pi\) | |||||||
\(600\) | −0.158765 | − | 0.126611i | −0.00648157 | − | 0.00516888i | ||||
\(601\) | 10.2073i | 0.416366i | 0.978090 | + | 0.208183i | \(0.0667550\pi\) | ||||
−0.978090 | + | 0.208183i | \(0.933245\pi\) | |||||||
\(602\) | 0.139486 | + | 0.402778i | 0.00568502 | + | 0.0164160i | ||||
\(603\) | −13.6197 | −0.554638 | ||||||||
\(604\) | 22.6638 | − | 28.4195i | 0.922175 | − | 1.15637i | ||||
\(605\) | 4.54375 | + | 30.1458i | 0.184730 | + | 1.22560i | ||||
\(606\) | 0.528117 | − | 0.120539i | 0.0214533 | − | 0.00489657i | ||||
\(607\) | −6.57598 | − | 9.64518i | −0.266911 | − | 0.391486i | 0.669262 | − | 0.743026i | \(-0.266610\pi\) |
−0.936173 | + | 0.351540i | \(0.885658\pi\) | |||||||
\(608\) | −25.3429 | + | 43.8952i | −1.02779 | + | 1.78019i | ||||
\(609\) | −0.00753867 | + | 0.00435245i | −0.000305482 | + | 0.000176370i | ||||
\(610\) | 81.6757 | + | 39.3330i | 3.30695 | + | 1.59255i | ||||
\(611\) | 1.73754 | − | 0.535960i | 0.0702933 | − | 0.0216826i | ||||
\(612\) | −13.2371 | + | 25.4039i | −0.535077 | + | 1.02689i | ||||
\(613\) | 1.62387 | − | 7.11462i | 0.0655873 | − | 0.287357i | −0.931489 | − | 0.363770i | \(-0.881490\pi\) |
0.997076 | + | 0.0764128i | \(0.0243467\pi\) | |||||||
\(614\) | 0.395979 | + | 1.00894i | 0.0159804 | + | 0.0407175i | ||||
\(615\) | 1.20736 | − | 0.0904794i | 0.0486856 | − | 0.00364848i | ||||
\(616\) | −0.0895384 | − | 0.0134957i | −0.00360760 | − | 0.000543759i | ||||
\(617\) | −18.6072 | − | 20.0538i | −0.749099 | − | 0.807337i | 0.237346 | − | 0.971425i | \(-0.423722\pi\) |
−0.986446 | + | 0.164088i | \(0.947532\pi\) | |||||||
\(618\) | 0.625453 | + | 1.29877i | 0.0251594 | + | 0.0522440i | ||||
\(619\) | 23.3980 | − | 34.3186i | 0.940445 | − | 1.37938i | 0.0152513 | − | 0.999884i | \(-0.495145\pi\) |
0.925194 | − | 0.379496i | \(-0.123902\pi\) | |||||||
\(620\) | 18.8896 | − | 48.1300i | 0.758626 | − | 1.93295i | ||||
\(621\) | 0.112251 | + | 0.0346249i | 0.00450448 | + | 0.00138945i | ||||
\(622\) | −0.410731 | + | 0.442662i | −0.0164688 | + | 0.0177491i | ||||
\(623\) | 0.108290 | − | 0.0863588i | 0.00433857 | − | 0.00345989i | ||||
\(624\) | −0.277178 | + | 0.221042i | −0.0110960 | + | 0.00884875i | ||||
\(625\) | −2.77023 | − | 2.57040i | −0.110809 | − | 0.102816i | ||||
\(626\) | −20.9831 | + | 68.0256i | −0.838654 | + | 2.71885i | ||||
\(627\) | −0.368047 | + | 0.937769i | −0.0146984 | + | 0.0374509i | ||||
\(628\) | −33.6680 | − | 22.9545i | −1.34350 | − | 0.915984i | ||||
\(629\) | −1.62384 | − | 37.5296i | −0.0647467 | − | 1.49640i | ||||
\(630\) | 0.523408 | − | 0.485652i | 0.0208531 | − | 0.0193488i | ||||
\(631\) | −9.90232 | − | 1.49253i | −0.394205 | − | 0.0594168i | −0.0510511 | − | 0.998696i | \(-0.516257\pi\) |
−0.343154 | + | 0.939279i | \(0.611495\pi\) | |||||||
\(632\) | −3.91938 | + | 0.293717i | −0.155904 | + | 0.0116834i | ||||
\(633\) | 0.0356913 | + | 0.0909398i | 0.00141860 | + | 0.00361453i | ||||
\(634\) | −46.8873 | − | 10.7017i | −1.86213 | − | 0.425019i | ||||
\(635\) | −70.1993 | − | 5.26071i | −2.78577 | − | 0.208765i | ||||
\(636\) | −0.119437 | − | 0.387204i | −0.00473597 | − | 0.0153536i | ||||
\(637\) | −18.6860 | − | 8.99872i | −0.740368 | − | 0.356542i | ||||
\(638\) | 34.6833 | + | 60.0733i | 1.37313 | + | 2.37832i | ||||
\(639\) | −5.19318 | − | 2.99828i | −0.205439 | − | 0.118610i | ||||
\(640\) | 10.7331 | + | 15.7426i | 0.424265 | + | 0.622282i | ||||
\(641\) | −27.5309 | + | 6.28375i | −1.08741 | + | 0.248193i | −0.728407 | − | 0.685145i | \(-0.759739\pi\) |
−0.358998 | + | 0.933338i | \(0.616882\pi\) | |||||||
\(642\) | 0.445233 | − | 0.0671080i | 0.0175719 | − | 0.00264854i | ||||
\(643\) | 0.995529 | + | 0.793908i | 0.0392598 | + | 0.0313087i | 0.642923 | − | 0.765931i | \(-0.277721\pi\) |
−0.603663 | + | 0.797239i | \(0.706293\pi\) | |||||||
\(644\) | 0.0387464 | 0.00152682 | ||||||||
\(645\) | 0.293311 | − | 0.829668i | 0.0115491 | − | 0.0326681i | ||||
\(646\) | 49.2441 | + | 21.1434i | 1.93748 | + | 0.831877i | ||||
\(647\) | −30.3909 | + | 38.1090i | −1.19479 | + | 1.49822i | −0.373574 | + | 0.927600i | \(0.621868\pi\) |
−0.821215 | + | 0.570618i | \(0.806704\pi\) | |||||||
\(648\) | 5.85190 | − | 0.882032i | 0.229884 | − | 0.0346495i | ||||
\(649\) | −37.1618 | + | 8.48195i | −1.45873 | + | 0.332945i | ||||
\(650\) | 42.8251 | − | 29.1977i | 1.67974 | − | 1.14523i | ||||
\(651\) | −0.00604680 | − | 0.00349112i | −0.000236993 | − | 0.000136828i | ||||
\(652\) | 27.1332 | − | 15.6654i | 1.06262 | − | 0.613503i | ||||
\(653\) | −9.01313 | + | 18.7160i | −0.352711 | + | 0.732412i | −0.999543 | − | 0.0302202i | \(-0.990379\pi\) |
0.646832 | + | 0.762632i | \(0.276093\pi\) | |||||||
\(654\) | −1.19935 | + | 0.369951i | −0.0468984 | + | 0.0144662i | ||||
\(655\) | −0.477957 | + | 6.37789i | −0.0186753 | + | 0.249205i | ||||
\(656\) | −28.7255 | − | 6.55642i | −1.12154 | − | 0.255985i | ||||
\(657\) | −11.0468 | + | 4.33556i | −0.430978 | + | 0.169146i | ||||
\(658\) | −0.0397751 | + | 0.00298073i | −0.00155060 | + | 0.000116201i | ||||
\(659\) | 32.1394 | + | 4.84424i | 1.25197 | + | 0.188705i | 0.741361 | − | 0.671106i | \(-0.234181\pi\) |
0.510613 | + | 0.859811i | \(0.329419\pi\) | |||||||
\(660\) | 0.929612 | + | 1.00188i | 0.0361851 | + | 0.0389983i | ||||
\(661\) | −12.8958 | + | 6.21028i | −0.501588 | + | 0.241552i | −0.667529 | − | 0.744584i | \(-0.732648\pi\) |
0.165941 | + | 0.986136i | \(0.446934\pi\) | |||||||
\(662\) | 25.1344 | + | 17.1363i | 0.976875 | + | 0.666022i | ||||
\(663\) | 0.318341 | + | 0.314643i | 0.0123633 | + | 0.0122197i | ||||
\(664\) | 1.19626 | + | 0.368996i | 0.0464237 | + | 0.0143198i | ||||
\(665\) | −0.525546 | − | 0.487635i | −0.0203798 | − | 0.0189097i | ||||
\(666\) | −44.3795 | + | 35.3914i | −1.71967 | + | 1.37139i | ||||
\(667\) | −2.53131 | − | 3.17416i | −0.0980126 | − | 0.122904i | ||||
\(668\) | −16.3235 | + | 17.5926i | −0.631577 | + | 0.680678i | ||||
\(669\) | 0.0745967 | − | 0.241837i | 0.00288408 | − | 0.00934995i | ||||
\(670\) | 32.1789 | + | 12.6293i | 1.24318 | + | 0.487912i | ||||
\(671\) | −43.2595 | − | 29.4938i | −1.67001 | − | 1.13860i | ||||
\(672\) | 0.00836650 | − | 0.00402909i | 0.000322745 | − | 0.000155426i | ||||
\(673\) | −30.4888 | − | 32.8592i | −1.17526 | − | 1.26663i | −0.956789 | − | 0.290784i | \(-0.906084\pi\) |
−0.218470 | − | 0.975844i | \(-0.570106\pi\) | |||||||
\(674\) | 10.0597 | − | 66.7418i | 0.387486 | − | 2.57080i | ||||
\(675\) | −1.84487 | + | 0.138254i | −0.0710089 | + | 0.00532138i | ||||
\(676\) | −3.57128 | − | 9.09948i | −0.137357 | − | 0.349980i | ||||
\(677\) | 44.7277 | + | 10.2088i | 1.71903 | + | 0.392356i | 0.964535 | − | 0.263955i | \(-0.0850271\pi\) |
0.754490 | + | 0.656311i | \(0.227884\pi\) | |||||||
\(678\) | −0.0624871 | + | 0.833832i | −0.00239980 | + | 0.0320231i | ||||
\(679\) | 0.0548522 | − | 0.0169197i | 0.00210504 | − | 0.000649317i | ||||
\(680\) | 7.49980 | − | 6.53073i | 0.287604 | − | 0.250442i | ||||
\(681\) | 0.455047 | + | 0.788165i | 0.0174374 | + | 0.0302025i | ||||
\(682\) | −27.8197 | + | 48.1851i | −1.06527 | + | 1.84510i | ||||
\(683\) | −12.8935 | − | 18.9113i | −0.493355 | − | 0.723619i | 0.496131 | − | 0.868248i | \(-0.334754\pi\) |
−0.989486 | + | 0.144629i | \(0.953801\pi\) | |||||||
\(684\) | −9.67140 | − | 42.3732i | −0.369795 | − | 1.62018i | ||||
\(685\) | 4.44072 | + | 29.4623i | 0.169671 | + | 1.12570i | ||||
\(686\) | 0.711439 | + | 0.567353i | 0.0271629 | + | 0.0216617i | ||||
\(687\) | − | 0.477330i | − | 0.0182113i | ||||||
\(688\) | −12.7720 | + | 17.1895i | −0.486928 | + | 0.655344i | ||||
\(689\) | 14.1464 | 0.538937 | ||||||||
\(690\) | −0.116527 | − | 0.0929268i | −0.00443609 | − | 0.00353766i | ||||
\(691\) | 6.09660 | + | 40.4483i | 0.231926 | + | 1.53873i | 0.737145 | + | 0.675734i | \(0.236173\pi\) |
−0.505220 | + | 0.862991i | \(0.668588\pi\) | |||||||
\(692\) | −31.8997 | + | 7.28089i | −1.21264 | + | 0.276778i | ||||
\(693\) | −0.340725 | + | 0.232302i | −0.0129431 | + | 0.00882444i | ||||
\(694\) | 24.9931 | + | 14.4298i | 0.948724 | + | 0.547746i | ||||
\(695\) | 26.5908 | + | 46.0567i | 1.00865 | + | 1.74703i | ||||
\(696\) | 0.165063 | + | 0.0794900i | 0.00625668 | + | 0.00301306i | ||||
\(697\) | −3.94901 | + | 36.9892i | −0.149579 | + | 1.40106i | ||||
\(698\) | −0.901690 | + | 12.0322i | −0.0341295 | + | 0.455426i | ||||
\(699\) | 0.0677506 | − | 0.296835i | 0.00256256 | − | 0.0112273i | ||||
\(700\) | −0.568036 | + | 0.222938i | −0.0214697 | + | 0.00842625i | ||||
\(701\) | −0.464547 | − | 6.19895i | −0.0175457 | − | 0.234131i | −0.999081 | − | 0.0428523i | \(-0.986356\pi\) |
0.981536 | − | 0.191279i | \(-0.0612635\pi\) | |||||||
\(702\) | 0.201656 | − | 1.33790i | 0.00761100 | − | 0.0504957i | ||||
\(703\) | 38.7666 | + | 41.7805i | 1.46211 | + | 1.57578i | ||||
\(704\) | −19.6494 | − | 40.8024i | −0.740565 | − | 1.53780i | ||||
\(705\) | 0.0680377 | + | 0.0463873i | 0.00256245 | + | 0.00174705i | ||||
\(706\) | −7.74360 | + | 19.7304i | −0.291434 | + | 0.742563i | ||||
\(707\) | 0.0656270 | − | 0.212757i | 0.00246816 | − | 0.00800157i | ||||
\(708\) | −0.500623 | + | 0.539544i | −0.0188146 | + | 0.0202773i | ||||
\(709\) | 8.51527 | − | 6.79070i | 0.319798 | − | 0.255030i | −0.450412 | − | 0.892821i | \(-0.648723\pi\) |
0.770210 | + | 0.637791i | \(0.220151\pi\) | |||||||
\(710\) | 9.48951 | + | 11.8995i | 0.356135 | + | 0.446579i | ||||
\(711\) | −12.1749 | + | 13.1214i | −0.456593 | + | 0.492090i | ||||
\(712\) | −2.78558 | − | 0.859238i | −0.104394 | − | 0.0322013i | ||||
\(713\) | 1.18972 | − | 3.03136i | 0.0445554 | − | 0.113525i | ||||
\(714\) | −0.00527219 | − | 0.00828284i | −0.000197307 | − | 0.000309977i | ||||
\(715\) | −42.9896 | + | 20.7027i | −1.60772 | + | 0.774238i | ||||
\(716\) | 42.2286 | − | 39.1824i | 1.57816 | − | 1.46431i | ||||
\(717\) | 0.136534 | − | 0.905843i | 0.00509895 | − | 0.0338293i | ||||
\(718\) | −4.00407 | − | 53.4306i | −0.149431 | − | 1.99401i | ||||
\(719\) | 33.9688 | − | 13.3318i | 1.26682 | − | 0.497191i | 0.365690 | − | 0.930737i | \(-0.380833\pi\) |
0.901131 | + | 0.433546i | \(0.142738\pi\) | |||||||
\(720\) | 34.9733 | + | 7.98242i | 1.30338 | + | 0.297487i | ||||
\(721\) | 0.590839 | + | 0.0442772i | 0.0220040 | + | 0.00164897i | ||||
\(722\) | −39.9764 | + | 12.3311i | −1.48777 | + | 0.458916i | ||||
\(723\) | −0.230334 | − | 0.110923i | −0.00856621 | − | 0.00412527i | ||||
\(724\) | −17.9665 | + | 10.3730i | −0.667719 | + | 0.385508i | ||||
\(725\) | 55.3733 | + | 31.9698i | 2.05651 | + | 1.18733i | ||||
\(726\) | −0.356849 | − | 0.523401i | −0.0132439 | − | 0.0194252i | ||||
\(727\) | −1.62746 | − | 7.13036i | −0.0603591 | − | 0.264450i | 0.935740 | − | 0.352690i | \(-0.114733\pi\) |
−0.996099 | + | 0.0882397i | \(0.971876\pi\) | |||||||
\(728\) | −0.00909778 | − | 0.0603598i | −0.000337186 | − | 0.00223708i | ||||
\(729\) | 16.7891 | − | 21.0528i | 0.621817 | − | 0.779734i | ||||
\(730\) | 30.1203 | 1.11480 | ||||||||
\(731\) | 23.4502 | + | 13.4570i | 0.867335 | + | 0.497724i | ||||
\(732\) | −1.01098 | −0.0373670 | ||||||||
\(733\) | −16.5580 | + | 20.7631i | −0.611585 | + | 0.766903i | −0.987133 | − | 0.159900i | \(-0.948883\pi\) |
0.375548 | + | 0.926803i | \(0.377454\pi\) | |||||||
\(734\) | 0.212123 | + | 1.40735i | 0.00782962 | + | 0.0519461i | ||||
\(735\) | −0.209002 | − | 0.915699i | −0.00770917 | − | 0.0337761i | ||||
\(736\) | 2.43972 | + | 3.57842i | 0.0899294 | + | 0.131902i | ||||
\(737\) | −17.2903 | − | 9.98258i | −0.636897 | − | 0.367713i | ||||
\(738\) | 48.6805 | − | 28.1057i | 1.79195 | − | 1.03459i | ||||
\(739\) | 31.4334 | + | 15.1375i | 1.15630 | + | 0.556843i | 0.910919 | − | 0.412584i | \(-0.135374\pi\) |
0.245378 | + | 0.969428i | \(0.421088\pi\) | |||||||
\(740\) | 73.8891 | − | 22.7918i | 2.71622 | − | 0.837842i | ||||
\(741\) | −0.677217 | − | 0.0507504i | −0.0248782 | − | 0.00186436i | ||||
\(742\) | −0.302536 | − | 0.0690518i | −0.0111064 | − | 0.00253497i | ||||
\(743\) | 21.5362 | − | 8.45233i | 0.790086 | − | 0.310086i | 0.0642324 | − | 0.997935i | \(-0.479540\pi\) |
0.725854 | + | 0.687849i | \(0.241445\pi\) | |||||||
\(744\) | 0.0109816 | + | 0.146539i | 0.000402605 | + | 0.00537239i | ||||
\(745\) | 7.56234 | − | 50.1729i | 0.277063 | − | 1.83819i | ||||
\(746\) | 37.4178 | − | 34.7186i | 1.36996 | − | 1.27114i | ||||
\(747\) | 5.13667 | − | 2.47369i | 0.187941 | − | 0.0905076i | ||||
\(748\) | −35.4243 | + | 22.5483i | −1.29524 | + | 0.824446i | ||||
\(749\) | 0.0676125 | − | 0.172274i | 0.00247051 | − | 0.00629475i | ||||
\(750\) | 0.910821 | + | 0.280951i | 0.0332585 | + | 0.0102589i | ||||
\(751\) | 8.08525 | − | 8.71383i | 0.295035 | − | 0.317972i | −0.568086 | − | 0.822969i | \(-0.692316\pi\) |
0.863121 | + | 0.504997i | \(0.168506\pi\) | |||||||
\(752\) | −1.24944 | − | 1.56675i | −0.0455623 | − | 0.0571333i | ||||
\(753\) | 0.674017 | − | 0.537511i | 0.0245626 | − | 0.0195880i | ||||
\(754\) | −31.8060 | + | 34.2787i | −1.15831 | + | 1.24836i | ||||
\(755\) | −16.9398 | + | 54.9175i | −0.616502 | + | 1.99865i | ||||
\(756\) | −0.00581958 | + | 0.0148280i | −0.000211656 | + | 0.000539291i | ||||
\(757\) | −0.0935746 | − | 0.0637981i | −0.00340103 | − | 0.00231878i | 0.561618 | − | 0.827396i | \(-0.310179\pi\) |
−0.565019 | + | 0.825078i | \(0.691131\pi\) | |||||||
\(758\) | −22.3369 | − | 46.3831i | −0.811313 | − | 1.68471i | ||||
\(759\) | 0.0585495 | + | 0.0631014i | 0.00212521 | + | 0.00229044i | ||||
\(760\) | −2.24885 | + | 14.9202i | −0.0815744 | + | 0.541211i | ||||
\(761\) | −1.64865 | − | 21.9997i | −0.0597636 | − | 0.797490i | −0.943894 | − | 0.330249i | \(-0.892867\pi\) |
0.884130 | − | 0.467241i | \(-0.154752\pi\) | |||||||
\(762\) | 1.36164 | − | 0.534406i | 0.0493272 | − | 0.0193595i | ||||
\(763\) | −0.114794 | + | 0.502944i | −0.00415581 | + | 0.0182078i | ||||
\(764\) | 1.42690 | − | 19.0406i | 0.0516233 | − | 0.688865i | ||||
\(765\) | 4.80791 | − | 45.0342i | 0.173830 | − | 1.62822i | ||||
\(766\) | 30.9511 | + | 14.9053i | 1.11831 | + | 0.538549i | ||||
\(767\) | −12.8479 | − | 22.2533i | −0.463912 | − | 0.803519i | ||||
\(768\) | 0.310859 | + | 0.179475i | 0.0112172 | + | 0.00647623i | ||||
\(769\) | −33.9219 | + | 23.1276i | −1.22326 | + | 0.834001i | −0.990362 | − | 0.138501i | \(-0.955772\pi\) |
−0.232893 | + | 0.972502i | \(0.574819\pi\) | |||||||
\(770\) | 1.02043 | − | 0.232906i | 0.0367737 | − | 0.00839336i | ||||
\(771\) | −0.00402798 | − | 0.0267239i | −0.000145064 | − | 0.000962439i | ||||
\(772\) | −7.25034 | − | 5.78195i | −0.260946 | − | 0.208097i | ||||
\(773\) | 1.96690 | 0.0707443 | 0.0353722 | − | 0.999374i | \(-0.488738\pi\) | ||||
0.0353722 | + | 0.999374i | \(0.488738\pi\) | |||||||
\(774\) | −4.44377 | − | 40.6128i | −0.159728 | − | 1.45980i | ||||
\(775\) | 51.2862i | 1.84226i | ||||||||
\(776\) | −0.944537 | − | 0.753243i | −0.0339069 | − | 0.0270398i | ||||
\(777\) | −0.00155631 | − | 0.0103254i | −5.58323e−5 | − | 0.000370423i | ||||
\(778\) | −2.87257 | − | 12.5855i | −0.102986 | − | 0.451213i | ||||
\(779\) | −31.7943 | − | 46.6337i | −1.13915 | − | 1.67083i | ||||
\(780\) | −0.460671 | + | 0.797906i | −0.0164947 | + | 0.0285696i | ||||
\(781\) | −4.39518 | − | 7.61268i | −0.157272 | − | 0.272403i | ||||
\(782\) | 3.45343 | − | 3.00720i | 0.123494 | − | 0.107537i | ||||
\(783\) | 1.59493 | − | 0.491970i | 0.0569981 | − | 0.0175816i | ||||
\(784\) | −1.70812 | + | 22.7932i | −0.0610041 | + | 0.814043i | ||||
\(785\) | 62.8100 | + | 14.3360i | 2.24179 | + | 0.511673i | ||||
\(786\) | −0.0485530 | − | 0.123711i | −0.00173183 | − | 0.00441262i | ||||
\(787\) | 39.6031 | − | 2.96784i | 1.41170 | − | 0.105792i | 0.653060 | − | 0.757306i | \(-0.273485\pi\) |
0.758637 | + | 0.651514i | \(0.225866\pi\) | |||||||
\(788\) | 4.83217 | − | 32.0594i | 0.172139 | − | 1.14207i | ||||
\(789\) | 0.285241 | + | 0.307417i | 0.0101549 | + | 0.0109443i | ||||
\(790\) | 40.9323 | − | 19.7120i | 1.45631 | − | 0.701320i | ||||
\(791\) | 0.283964 | + | 0.193604i | 0.0100966 | + | 0.00688375i | ||||
\(792\) | 8.07913 | + | 3.17082i | 0.287079 | + | 0.112670i | ||||
\(793\) | 10.4034 | − | 33.7271i | 0.369436 | − | 1.19768i | ||||
\(794\) | −19.7303 | + | 21.2642i | −0.700203 | + | 0.754639i | ||||
\(795\) | 0.399438 | + | 0.500880i | 0.0141666 | + | 0.0177644i | ||||
\(796\) | 25.2366 | − | 20.1256i | 0.894489 | − | 0.713331i | ||||
\(797\) | 5.48812 | + | 5.09223i | 0.194399 | + | 0.180376i | 0.771367 | − | 0.636391i | \(-0.219574\pi\) |
−0.576967 | + | 0.816767i | \(0.695764\pi\) | |||||||
\(798\) | 0.0142352 | + | 0.00439098i | 0.000503921 | + | 0.000155439i | ||||
\(799\) | −1.77852 | + | 1.79942i | −0.0629195 | + | 0.0636589i | ||||
\(800\) | −56.3566 | − | 38.4233i | −1.99251 | − | 1.35847i | ||||
\(801\) | −11.9612 | + | 5.76019i | −0.422627 | + | 0.203526i | ||||
\(802\) | 3.02109 | + | 3.25596i | 0.106678 | + | 0.114972i | ||||
\(803\) | −17.2018 | − | 2.59275i | −0.607038 | − | 0.0914963i | ||||
\(804\) | −0.384436 | + | 0.0288095i | −0.0135580 | + | 0.00101603i | ||||
\(805\) | −0.0570251 | + | 0.0223807i | −0.00200987 | + | 0.000788816i | ||||
\(806\) | −36.5673 | − | 8.34625i | −1.28803 | − | 0.293984i | ||||
\(807\) | 0.0791414 | − | 1.05607i | 0.00278591 | − | 0.0371754i | ||||
\(808\) | −4.47775 | + | 1.38120i | −0.157527 | + | 0.0485906i | ||||
\(809\) | 13.5795 | − | 28.1981i | 0.477429 | − | 0.991392i | −0.513635 | − | 0.858009i | \(-0.671702\pi\) |
0.991065 | − | 0.133383i | \(-0.0425842\pi\) | |||||||
\(810\) | −59.2419 | + | 34.2033i | −2.08155 | + | 1.20178i | ||||
\(811\) | −7.50781 | − | 4.33464i | −0.263635 | − | 0.152210i | 0.362357 | − | 0.932040i | \(-0.381972\pi\) |
−0.625992 | + | 0.779830i | \(0.715306\pi\) | |||||||
\(812\) | 0.454870 | − | 0.310125i | 0.0159628 | − | 0.0108833i | ||||
\(813\) | 0.297137 | − | 0.0678195i | 0.0104210 | − | 0.00237853i | ||||
\(814\) | −82.2802 | + | 12.4017i | −2.88392 | + | 0.434681i | ||||
\(815\) | −30.8848 | + | 38.7283i | −1.08185 | + | 1.35659i | ||||
\(816\) | 0.194617 | − | 0.453272i | 0.00681296 | − | 0.0158677i | ||||
\(817\) | −40.3312 | + | 7.49683i | −1.41101 | + | 0.262281i | ||||
\(818\) | −39.8687 | −1.39398 | ||||||||
\(819\) | −0.217345 | − | 0.173327i | −0.00759466 | − | 0.00605654i | ||||
\(820\) | −75.7171 | + | 11.4125i | −2.64416 | + | 0.398542i | ||||
\(821\) | −24.1035 | + | 5.50146i | −0.841217 | + | 0.192002i | −0.621355 | − | 0.783529i | \(-0.713418\pi\) |
−0.219861 | + | 0.975531i | \(0.570560\pi\) | |||||||
\(822\) | −0.348758 | − | 0.511533i | −0.0121643 | − | 0.0178418i | ||||
\(823\) | 24.4569 | + | 14.1202i | 0.852515 | + | 0.492200i | 0.861499 | − | 0.507760i | \(-0.169526\pi\) |
−0.00898373 | + | 0.999960i | \(0.502860\pi\) | |||||||
\(824\) | −6.23491 | − | 10.7992i | −0.217203 | − | 0.376207i | ||||
\(825\) | −1.22143 | − | 0.588209i | −0.0425247 | − | 0.0204788i | ||||
\(826\) | 0.166143 | + | 0.538621i | 0.00578084 | + | 0.0187410i | ||||
\(827\) | −14.2047 | − | 1.06450i | −0.493946 | − | 0.0370161i | −0.174571 | − | 0.984645i | \(-0.555854\pi\) |
−0.319375 | + | 0.947628i | \(0.603473\pi\) | |||||||
\(828\) | −3.62068 | − | 0.826397i | −0.125827 | − | 0.0287193i | ||||
\(829\) | −8.60708 | − | 21.9305i | −0.298936 | − | 0.761677i | −0.998873 | − | 0.0474719i | \(-0.984884\pi\) |
0.699936 | − | 0.714205i | \(-0.253212\pi\) | |||||||
\(830\) | −14.4300 | + | 1.08138i | −0.500874 | + | 0.0375353i | ||||
\(831\) | −0.350615 | − | 0.0528467i | −0.0121627 | − | 0.00183323i | ||||
\(832\) | 22.3795 | − | 20.7651i | 0.775869 | − | 0.719901i | ||||
\(833\) | 28.8307 | − | 1.24745i | 0.998926 | − | 0.0432217i | ||||
\(834\) | −0.913044 | − | 0.622503i | −0.0316161 | − | 0.0215555i | ||||
\(835\) | 13.8624 | − | 35.3208i | 0.479728 | − | 1.22233i | ||||
\(836\) | 18.7795 | − | 60.8817i | 0.649503 | − | 2.10564i | ||||
\(837\) | 0.981395 | + | 0.910601i | 0.0339220 | + | 0.0314750i | ||||
\(838\) | −35.1992 | + | 28.0704i | −1.21594 | + | 0.969677i | ||||
\(839\) | 2.30335 | − | 1.83686i | 0.0795205 | − | 0.0634155i | −0.582923 | − | 0.812528i | \(-0.698091\pi\) |
0.662443 | + | 0.749112i | \(0.269520\pi\) | |||||||
\(840\) | 0.00188026 | − | 0.00202644i | 6.48752e−5 | − | 6.99188e-5i | ||||
\(841\) | −27.4110 | − | 8.45518i | −0.945207 | − | 0.291558i | ||||
\(842\) | −11.8816 | + | 30.2739i | −0.409469 | + | 1.04331i | ||||
\(843\) | 0.140002 | − | 0.205345i | 0.00482192 | − | 0.00707246i | ||||
\(844\) | −2.68074 | − | 5.56661i | −0.0922748 | − | 0.191611i | ||||
\(845\) | 10.5121 | + | 11.3293i | 0.361627 | + | 0.389741i | ||||
\(846\) | 3.78038 | + | 0.569801i | 0.129972 | + | 0.0195902i | ||||
\(847\) | −0.259643 | + | 0.0194576i | −0.00892144 | + | 0.000668569i | ||||
\(848\) | −5.69587 | − | 14.5128i | −0.195597 | − | 0.498373i | ||||
\(849\) | 0.0210683 | − | 0.0923064i | 0.000723063 | − | 0.00316795i | ||||
\(850\) | −33.3257 | + | 63.9569i | −1.14306 | + | 2.19370i | ||||
\(851\) | 4.65374 | − | 1.43549i | 0.159528 | − | 0.0492079i | ||||
\(852\) | −0.152927 | − | 0.0736457i | −0.00523919 | − | 0.00252306i | ||||
\(853\) | −16.7121 | + | 9.64871i | −0.572210 | + | 0.330366i | −0.758031 | − | 0.652218i | \(-0.773839\pi\) |
0.185822 | + | 0.982584i | \(0.440505\pi\) | |||||||
\(854\) | −0.387116 | + | 0.670505i | −0.0132468 | + | 0.0229442i | ||||
\(855\) | 38.7095 | + | 56.7765i | 1.32384 | + | 1.94171i | ||||
\(856\) | −3.79731 | + | 0.866712i | −0.129789 | + | 0.0296236i | ||||
\(857\) | 2.41106 | + | 15.9964i | 0.0823603 | + | 0.546425i | 0.991518 | + | 0.129972i | \(0.0414888\pi\) |
−0.909157 | + | 0.416453i | \(0.863273\pi\) | |||||||
\(858\) | 0.618169 | − | 0.775160i | 0.0211040 | − | 0.0264635i | ||||
\(859\) | −24.3012 | −0.829147 | −0.414573 | − | 0.910016i | \(-0.636069\pi\) | ||||
−0.414573 | + | 0.910016i | \(0.636069\pi\) | |||||||
\(860\) | −14.5770 | + | 53.7109i | −0.497073 | + | 1.83153i | ||||
\(861\) | 0.0103405i | 0.000352404i | ||||||||
\(862\) | −42.8997 | − | 34.2114i | −1.46117 | − | 1.16524i | ||||
\(863\) | 0.391729 | − | 0.0590437i | 0.0133346 | − | 0.00200987i | −0.142372 | − | 0.989813i | \(-0.545473\pi\) |
0.155706 | + | 0.987803i | \(0.450235\pi\) | |||||||
\(864\) | −1.73588 | + | 0.396204i | −0.0590559 | + | 0.0134791i | ||||
\(865\) | 42.7428 | − | 29.1416i | 1.45330 | − | 0.990843i | ||||
\(866\) | −8.64037 | + | 14.9656i | −0.293612 | + | 0.508550i | ||||
\(867\) | −0.597222 | − | 0.176605i | −0.0202827 | − | 0.00599781i | ||||
\(868\) | 0.397853 | + | 0.191596i | 0.0135040 | + | 0.00650319i | ||||
\(869\) | −25.0734 | + | 7.73411i | −0.850556 | + | 0.262362i | ||||
\(870\) | −2.11177 | − | 0.158255i | −0.0715956 | − | 0.00536535i | ||||
\(871\) | 2.99490 | − | 13.1215i | 0.101478 | − | 0.444605i | ||||
\(872\) | 10.1068 | − | 3.96662i | 0.342259 | − | 0.134327i | ||||
\(873\) | −5.48657 | + | 0.411162i | −0.185692 | + | 0.0139157i | ||||
\(874\) | −1.03553 | + | 6.87027i | −0.0350272 | + | 0.232390i | ||||
\(875\) | 0.287189 | − | 0.266472i | 0.00970875 | − | 0.00900840i | ||||
\(876\) | −0.302642 | + | 0.145745i | −0.0102253 | + | 0.00492425i | ||||
\(877\) | −6.81870 | + | 10.0012i | −0.230251 | + | 0.337717i | −0.923926 | − | 0.382572i | \(-0.875038\pi\) |
0.693674 | + | 0.720289i | \(0.255991\pi\) | |||||||
\(878\) | 13.6904 | + | 5.37307i | 0.462027 | + | 0.181332i | ||||
\(879\) | 0.177638 | − | 0.575889i | 0.00599159 | − | 0.0194243i | ||||
\(880\) | 38.5481 | + | 35.7674i | 1.29946 | + | 1.20572i | ||||
\(881\) | 3.76330 | − | 3.00113i | 0.126789 | − | 0.101111i | −0.558042 | − | 0.829812i | \(-0.688447\pi\) |
0.684831 | + | 0.728702i | \(0.259876\pi\) | |||||||
\(882\) | −27.1882 | − | 34.0929i | −0.915473 | − | 1.14797i | ||||
\(883\) | 16.8006 | + | 15.5887i | 0.565387 | + | 0.524602i | 0.910255 | − | 0.414049i | \(-0.135886\pi\) |
−0.344868 | + | 0.938651i | \(0.612076\pi\) | |||||||
\(884\) | −21.5638 | − | 18.3390i | −0.725270 | − | 0.616808i | ||||
\(885\) | 0.425143 | − | 1.08325i | 0.0142910 | − | 0.0364129i | ||||
\(886\) | −45.0402 | − | 30.7079i | −1.51315 | − | 1.03165i | ||||
\(887\) | −3.94217 | − | 8.18599i | −0.132365 | − | 0.274859i | 0.824243 | − | 0.566236i | \(-0.191601\pi\) |
−0.956608 | + | 0.291377i | \(0.905887\pi\) | |||||||
\(888\) | −0.161100 | + | 0.149479i | −0.00540617 | + | 0.00501619i | ||||
\(889\) | 0.0896078 | − | 0.594509i | 0.00300535 | − | 0.0199392i | ||||
\(890\) | 33.6016 | − | 2.51809i | 1.12633 | − | 0.0844065i | ||||
\(891\) | 36.7774 | − | 14.4341i | 1.23209 | − | 0.483560i | ||||
\(892\) | −3.56162 | + | 15.6045i | −0.119252 | + | 0.522476i | ||||
\(893\) | 0.286866 | − | 3.82797i | 0.00959962 | − | 0.128098i | ||||
\(894\) | 0.310765 | + | 1.00748i | 0.0103935 | + | 0.0336951i | ||||
\(895\) | −39.5175 | + | 82.0589i | −1.32092 | + | 2.74293i | ||||
\(896\) | −0.140926 | + | 0.0813634i | −0.00470799 | + | 0.00271816i | ||||
\(897\) | −0.0290144 | + | 0.0502543i | −0.000968761 | + | 0.00167794i | ||||
\(898\) | −37.8235 | − | 55.4769i | −1.26219 | − | 1.85129i | ||||
\(899\) | −10.2960 | − | 45.1097i | −0.343391 | − | 1.50449i | ||||
\(900\) | 57.8354 | − | 8.71728i | 1.92785 | − | 0.290576i | ||||
\(901\) | −17.3484 | + | 9.29897i | −0.577960 | + | 0.309793i | ||||
\(902\) | 82.4003 | 2.74363 | ||||||||
\(903\) | 0.00687884 | + | 0.00302757i | 0.000228913 | + | 0.000100751i | ||||
\(904\) | − | 7.23325i | − | 0.240574i | ||||||
\(905\) | 20.4506 | − | 25.6443i | 0.679801 | − | 0.852444i | ||||
\(906\) | −0.177984 | − | 1.18085i | −0.00591312 | − | 0.0392310i | ||||
\(907\) | 9.54949 | − | 2.17961i | 0.317086 | − | 0.0723727i | −0.0610161 | − | 0.998137i | \(-0.519434\pi\) |
0.378102 | + | 0.925764i | \(0.376577\pi\) | |||||||
\(908\) | −32.4235 | − | 47.5565i | −1.07601 | − | 1.57822i | ||||
\(909\) | −10.6703 | + | 18.4815i | −0.353912 | + | 0.612994i | ||||
\(910\) | 0.352792 | + | 0.611054i | 0.0116950 | + | 0.0202563i | ||||
\(911\) | 22.9447 | − | 47.6452i | 0.760192 | − | 1.57856i | −0.0543987 | − | 0.998519i | \(-0.517324\pi\) |
0.814591 | − | 0.580036i | \(-0.196962\pi\) | |||||||
\(912\) | 0.220607 | + | 0.715191i | 0.00730503 | + | 0.0236823i | ||||
\(913\) | 8.33413 | + | 0.624557i | 0.275819 | + | 0.0206698i | ||||
\(914\) | −9.89146 | + | 43.3373i | −0.327180 | + | 1.43347i | ||||
\(915\) | 1.48792 | − | 0.583964i | 0.0491890 | − | 0.0193052i | ||||
\(916\) | 2.25596 | + | 30.1037i | 0.0745391 | + | 0.994655i | ||||
\(917\) | −0.0540136 | − | 0.00814124i | −0.00178369 | − | 0.000268847i | ||||
\(918\) | 0.632148 | + | 1.77328i | 0.0208640 | + | 0.0585270i | ||||
\(919\) | 30.4340 | − | 14.6562i | 1.00392 | − | 0.483464i | 0.141656 | − | 0.989916i | \(-0.454757\pi\) |
0.862268 | + | 0.506452i | \(0.169043\pi\) | |||||||
\(920\) | 1.06526 | + | 0.726283i | 0.0351206 | + | 0.0239448i | ||||
\(921\) | 0.0177897 | + | 0.00698195i | 0.000586191 | + | 0.000230063i | ||||
\(922\) | 63.2155 | + | 19.4994i | 2.08189 | + | 0.642178i | ||||
\(923\) | 4.03056 | − | 4.34391i | 0.132667 | − | 0.142981i | ||||
\(924\) | −0.00912606 | + | 0.00727779i | −0.000300225 | + | 0.000239422i | ||||
\(925\) | −59.9660 | + | 47.8213i | −1.97167 | + | 1.57235i | ||||
\(926\) | −29.6966 | − | 27.5545i | −0.975892 | − | 0.905496i | ||||
\(927\) | −54.2669 | − | 16.7391i | −1.78236 | − | 0.549785i | ||||
\(928\) | 57.2832 | + | 22.4820i | 1.88041 | + | 0.738007i | ||||
\(929\) | 17.0355 | − | 24.9865i | 0.558917 | − | 0.819780i | −0.437940 | − | 0.899004i | \(-0.644292\pi\) |
0.996857 | + | 0.0792238i | \(0.0252442\pi\) | |||||||
\(930\) | −0.736999 | − | 1.53039i | −0.0241672 | − | 0.0501836i | ||||
\(931\) | −32.0963 | + | 29.7810i | −1.05191 | + | 0.976034i | ||||
\(932\) | −2.86992 | + | 19.0407i | −0.0940073 | + | 0.623698i | ||||
\(933\) | 0.000795678 | 0.0106176i | 2.60493e−5 | 0.000347604i | ||||||
\(934\) | −13.0859 | − | 33.3423i | −0.428184 | − | 1.09099i | ||||
\(935\) | 39.1115 | − | 53.6473i | 1.27908 | − | 1.75445i | ||||
\(936\) | −0.437228 | + | 5.83440i | −0.0142912 | + | 0.190703i | ||||
\(937\) | −17.7860 | + | 5.48625i | −0.581042 | + | 0.179228i | −0.571324 | − | 0.820725i | \(-0.693570\pi\) |
−0.00971889 | + | 0.999953i | \(0.503094\pi\) | |||||||
\(938\) | −0.128098 | + | 0.265998i | −0.00418254 | + | 0.00868513i | ||||
\(939\) | 0.627600 | + | 1.08703i | 0.0204809 | + | 0.0354740i | ||||
\(940\) | −4.51016 | − | 2.60394i | −0.147105 | − | 0.0849313i | ||||
\(941\) | 1.17278 | + | 1.72015i | 0.0382314 | + | 0.0560751i | 0.844879 | − | 0.534958i | \(-0.179673\pi\) |
−0.806647 | + | 0.591033i | \(0.798720\pi\) | |||||||
\(942\) | −1.30513 | + | 0.297887i | −0.0425234 | + | 0.00970568i | ||||
\(943\) | −4.76887 | + | 0.718792i | −0.155296 | + | 0.0234071i | ||||
\(944\) | −17.6566 | + | 22.1407i | −0.574673 | + | 0.720617i | ||||
\(945\) | − | 0.0251847i | − | 0.000819260i | ||||||
\(946\) | 24.1258 | − | 54.8153i | 0.784397 | − | 1.78220i | ||||
\(947\) | 17.9863i | 0.584477i | 0.956345 | + | 0.292238i | \(0.0944001\pi\) | ||||
−0.956345 | + | 0.292238i | \(0.905600\pi\) | |||||||
\(948\) | −0.315897 | + | 0.396122i | −0.0102599 | + | 0.0128655i | ||||
\(949\) | −1.74783 | − | 11.5961i | −0.0567371 | − | 0.376426i | ||||
\(950\) | −24.3488 | − | 106.679i | −0.789978 | − | 3.46112i | ||||
\(951\) | −0.700635 | + | 0.477685i | −0.0227197 | + | 0.0154900i | ||||
\(952\) | 0.0508337 | + | 0.0680417i | 0.00164753 | + | 0.00220525i | ||||
\(953\) | −0.309577 | − | 0.536204i | −0.0100282 | − | 0.0173693i | 0.860968 | − | 0.508660i | \(-0.169859\pi\) |
−0.870996 | + | 0.491290i | \(0.836525\pi\) | |||||||
\(954\) | 26.7979 | + | 12.9052i | 0.867613 | + | 0.417820i | ||||
\(955\) | 8.89821 | + | 28.8473i | 0.287939 | + | 0.933477i | ||||
\(956\) | −4.32956 | + | 57.7740i | −0.140028 | + | 1.86855i | ||||
\(957\) | 1.19241 | + | 0.272161i | 0.0385453 | + | 0.00879771i | ||||
\(958\) | −61.4730 | + | 24.1264i | −1.98610 | + | 0.779488i | ||||
\(959\) | −0.253756 | + | 0.0190164i | −0.00819420 | + | 0.000614071i | ||||
\(960\) | 1.36713 | + | 0.206062i | 0.0441239 | + | 0.00665062i | ||||
\(961\) | 4.48131 | − | 4.15805i | 0.144558 | − | 0.134131i | ||||
\(962\) | −24.3380 | − | 50.5384i | −0.784689 | − | 1.62942i | ||||
\(963\) | −9.99242 | + | 14.6562i | −0.322001 | + | 0.472289i | ||||
\(964\) | 15.0507 | + | 5.90696i | 0.484750 | + | 0.190251i | ||||
\(965\) | 14.0105 | + | 4.32166i | 0.451014 | + | 0.139119i | ||||
\(966\) | 0.000865802 | 0 | 0.000933113i | 2.78567e−5 | 0 | 3.00224e-5i | ||||
\(967\) | 3.48283 | + | 4.36733i | 0.112000 | + | 0.140444i | 0.834672 | − | 0.550748i | \(-0.185657\pi\) |
−0.722671 | + | 0.691192i | \(0.757086\pi\) | |||||||
\(968\) | 3.41662 | + | 4.28431i | 0.109814 | + | 0.137703i | ||||
\(969\) | 0.863862 | − | 0.382921i | 0.0277513 | − | 0.0123012i | ||||
\(970\) | 13.3442 | + | 4.11614i | 0.428457 | + | 0.132161i | ||||
\(971\) | 13.5685 | − | 34.5721i | 0.435435 | − | 1.10947i | −0.529808 | − | 0.848118i | \(-0.677736\pi\) |
0.965243 | − | 0.261353i | \(-0.0841688\pi\) | |||||||
\(972\) | 1.29020 | − | 1.89238i | 0.0413833 | − | 0.0606982i | ||||
\(973\) | −0.409223 | + | 0.197071i | −0.0131191 | + | 0.00631782i | ||||
\(974\) | 35.0575 | + | 37.7830i | 1.12331 | + | 1.21064i | ||||
\(975\) | 0.136209 | − | 0.903689i | 0.00436219 | − | 0.0289412i | ||||
\(976\) | −38.7894 | + | 2.90686i | −1.24162 | + | 0.0930464i | ||||
\(977\) | 7.58831 | + | 19.3347i | 0.242771 | + | 0.618571i | 0.999377 | − | 0.0353004i | \(-0.0112388\pi\) |
−0.756605 | + | 0.653872i | \(0.773144\pi\) | |||||||
\(978\) | 0.229039 | − | 1.00349i | 0.00732387 | − | 0.0320880i | ||||
\(979\) | −19.4067 | − | 1.45433i | −0.620241 | − | 0.0464807i | ||||
\(980\) | 17.5089 | + | 56.7625i | 0.559302 | + | 1.81321i | ||||
\(981\) | 21.4539 | − | 44.5495i | 0.684971 | − | 1.42236i | ||||
\(982\) | 5.60374 | + | 9.70596i | 0.178822 | + | 0.309730i | ||||
\(983\) | −38.7984 | − | 22.4003i | −1.23748 | − | 0.714457i | −0.268899 | − | 0.963168i | \(-0.586660\pi\) |
−0.968578 | + | 0.248711i | \(0.919993\pi\) | |||||||
\(984\) | 0.179814 | − | 0.122595i | 0.00573225 | − | 0.00390818i | ||||
\(985\) | 11.4064 | + | 49.9747i | 0.363438 | + | 1.59233i | ||||
\(986\) | 16.4725 | − | 62.9447i | 0.524592 | − | 2.00457i | ||||
\(987\) | −0.000438491 | 0 | 0.000549851i | −1.39573e−5 | 0 | 1.75019e-5i | ||||
\(988\) | 42.9498 | 1.36642 | ||||||||
\(989\) | −0.918103 | + | 3.38286i | −0.0291940 | + | 0.107569i | ||||
\(990\) | −100.322 | −3.18845 | ||||||||
\(991\) | −33.3465 | − | 26.5930i | −1.05929 | − | 0.844754i | −0.0710183 | − | 0.997475i | \(-0.522625\pi\) |
−0.988269 | + | 0.152721i | \(0.951196\pi\) | |||||||
\(992\) | 7.35660 | + | 48.8078i | 0.233572 | + | 1.54965i | ||||
\(993\) | 0.522925 | − | 0.119354i | 0.0165945 | − | 0.00378759i | ||||
\(994\) | −0.107401 | + | 0.0732247i | −0.00340655 | + | 0.00232254i | ||||
\(995\) | −25.5172 | + | 44.1971i | −0.808949 | + | 1.40114i | ||||
\(996\) | 0.139757 | − | 0.0806889i | 0.00442838 | − | 0.00255672i | ||||
\(997\) | 2.43019 | − | 5.04634i | 0.0769649 | − | 0.159819i | −0.858936 | − | 0.512083i | \(-0.828874\pi\) |
0.935901 | + | 0.352264i | \(0.114588\pi\) | |||||||
\(998\) | −7.17134 | − | 23.2489i | −0.227005 | − | 0.735931i | ||||
\(999\) | −0.149622 | + | 1.99657i | −0.00473383 | + | 0.0631686i |
(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 | 731.2.z.a.67.12 | yes | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.11 | ✓ | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.11 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.12 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.11 | ✓ | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.67.12 | yes | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.611.11 | yes | 768 | 43.9 | even | 21 | inner | |
731.2.z.a.611.12 | yes | 768 | 731.611 | even | 42 | inner |