Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(117,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.117");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 117.16 | ||
Character | \(\chi\) | \(=\) | 280.117 |
Dual form | 280.2.bv.e.213.16 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.464402 | − | 1.33579i | −0.328382 | − | 0.944545i | ||||
\(3\) | −0.0539369 | − | 0.0144524i | −0.0311405 | − | 0.00834407i | 0.243215 | − | 0.969972i | \(-0.421798\pi\) |
−0.274356 | + | 0.961628i | \(0.588465\pi\) | |||||||
\(4\) | −1.56866 | + | 1.24069i | −0.784330 | + | 0.620343i | ||||
\(5\) | 1.91563 | + | 1.15341i | 0.856697 | + | 0.515820i | ||||
\(6\) | 0.00574315 | + | 0.0787600i | 0.00234463 | + | 0.0321536i | ||||
\(7\) | −1.56007 | − | 2.13686i | −0.589650 | − | 0.807659i | ||||
\(8\) | 2.38578 | + | 1.51922i | 0.843502 | + | 0.537126i | ||||
\(9\) | −2.59538 | − | 1.49844i | −0.865125 | − | 0.499480i | ||||
\(10\) | 0.651085 | − | 3.09453i | 0.205891 | − | 0.978575i | ||||
\(11\) | 3.24498 | − | 1.87349i | 0.978399 | − | 0.564879i | 0.0766124 | − | 0.997061i | \(-0.475590\pi\) |
0.901786 | + | 0.432182i | \(0.142256\pi\) | |||||||
\(12\) | 0.102540 | − | 0.0442480i | 0.0296006 | − | 0.0127733i | ||||
\(13\) | 4.30261 | − | 4.30261i | 1.19333 | − | 1.19333i | 0.217204 | − | 0.976126i | \(-0.430306\pi\) |
0.976126 | − | 0.217204i | \(-0.0696935\pi\) | |||||||
\(14\) | −2.12990 | + | 3.07629i | −0.569239 | + | 0.822172i | ||||
\(15\) | −0.0866538 | − | 0.0898967i | −0.0223739 | − | 0.0232112i | ||||
\(16\) | 0.921393 | − | 3.89243i | 0.230348 | − | 0.973108i | ||||
\(17\) | 5.23089 | + | 1.40161i | 1.26868 | + | 0.339941i | 0.829524 | − | 0.558471i | \(-0.188612\pi\) |
0.439153 | + | 0.898412i | \(0.355278\pi\) | |||||||
\(18\) | −0.796301 | + | 4.16275i | −0.187690 | + | 0.981170i | ||||
\(19\) | −1.52477 | − | 0.880325i | −0.349806 | − | 0.201960i | 0.314794 | − | 0.949160i | \(-0.398065\pi\) |
−0.664600 | + | 0.747200i | \(0.731398\pi\) | |||||||
\(20\) | −4.43600 | + | 0.567393i | −0.991919 | + | 0.126873i | ||||
\(21\) | 0.0532626 | + | 0.137802i | 0.0116228 | + | 0.0300710i | ||||
\(22\) | −4.00956 | − | 3.46455i | −0.854842 | − | 0.738645i | ||||
\(23\) | −1.28897 | − | 4.81052i | −0.268770 | − | 1.00306i | −0.959902 | − | 0.280334i | \(-0.909555\pi\) |
0.691133 | − | 0.722728i | \(-0.257112\pi\) | |||||||
\(24\) | −0.106726 | − | 0.116422i | −0.0217853 | − | 0.0237646i | ||||
\(25\) | 2.33930 | + | 4.41901i | 0.467859 | + | 0.883803i | ||||
\(26\) | −7.74552 | − | 3.74924i | −1.51902 | − | 0.735286i | ||||
\(27\) | 0.236784 | + | 0.236784i | 0.0455691 | + | 0.0455691i | ||||
\(28\) | 5.09840 | + | 1.41646i | 0.963506 | + | 0.267685i | ||||
\(29\) | −4.27178 | −0.793249 | −0.396625 | − | 0.917981i | \(-0.629819\pi\) | ||||
−0.396625 | + | 0.917981i | \(0.629819\pi\) | |||||||
\(30\) | −0.0798407 | + | 0.157499i | −0.0145768 | + | 0.0287553i | ||||
\(31\) | −5.03109 | + | 2.90470i | −0.903611 | + | 0.521700i | −0.878370 | − | 0.477982i | \(-0.841369\pi\) |
−0.0252408 | + | 0.999681i | \(0.508035\pi\) | |||||||
\(32\) | −5.62736 | + | 0.576870i | −0.994787 | + | 0.101977i | ||||
\(33\) | −0.202101 | + | 0.0541527i | −0.0351812 | + | 0.00942677i | ||||
\(34\) | −0.556980 | − | 7.63828i | −0.0955213 | − | 1.30995i | ||||
\(35\) | −0.523841 | − | 5.89284i | −0.0885453 | − | 0.996072i | ||||
\(36\) | 5.93036 | − | 0.869503i | 0.988393 | − | 0.144917i | ||||
\(37\) | 1.57355 | + | 5.87258i | 0.258690 | + | 0.965446i | 0.966000 | + | 0.258542i | \(0.0832421\pi\) |
−0.707310 | + | 0.706904i | \(0.750091\pi\) | |||||||
\(38\) | −0.467822 | + | 2.44559i | −0.0758908 | + | 0.396728i | ||||
\(39\) | −0.294252 | + | 0.169887i | −0.0471181 | + | 0.0272036i | ||||
\(40\) | 2.81801 | + | 5.66205i | 0.445566 | + | 0.895249i | ||||
\(41\) | 4.10418i | 0.640966i | 0.947254 | + | 0.320483i | \(0.103845\pi\) | ||||
−0.947254 | + | 0.320483i | \(0.896155\pi\) | |||||||
\(42\) | 0.159340 | − | 0.135143i | 0.0245866 | − | 0.0208531i | ||||
\(43\) | 6.73442 | + | 6.73442i | 1.02699 | + | 1.02699i | 0.999626 | + | 0.0273638i | \(0.00871124\pi\) |
0.0273638 | + | 0.999626i | \(0.491289\pi\) | |||||||
\(44\) | −2.76586 | + | 6.96488i | −0.416969 | + | 1.04999i | ||||
\(45\) | −3.24347 | − | 5.86399i | −0.483508 | − | 0.874152i | ||||
\(46\) | −5.82723 | + | 3.95581i | −0.859178 | + | 0.583253i | ||||
\(47\) | −2.06214 | − | 7.69602i | −0.300794 | − | 1.12258i | −0.936506 | − | 0.350653i | \(-0.885960\pi\) |
0.635711 | − | 0.771927i | \(-0.280707\pi\) | |||||||
\(48\) | −0.105952 | + | 0.196630i | −0.0152928 | + | 0.0283810i | ||||
\(49\) | −2.13237 | + | 6.66731i | −0.304625 | + | 0.952472i | ||||
\(50\) | 4.81649 | − | 5.17701i | 0.681155 | − | 0.732139i | ||||
\(51\) | −0.261881 | − | 0.151197i | −0.0366707 | − | 0.0211719i | ||||
\(52\) | −1.41114 | + | 12.0875i | −0.195691 | + | 1.67624i | ||||
\(53\) | −0.656146 | + | 2.44877i | −0.0901286 | + | 0.336364i | −0.996236 | − | 0.0866834i | \(-0.972373\pi\) |
0.906107 | + | 0.423048i | \(0.139040\pi\) | |||||||
\(54\) | 0.206330 | − | 0.426257i | 0.0280780 | − | 0.0580062i | ||||
\(55\) | 8.37709 | + | 0.153869i | 1.12957 | + | 0.0207477i | ||||
\(56\) | −0.475620 | − | 7.46818i | −0.0635574 | − | 0.997978i | ||||
\(57\) | 0.0695185 | + | 0.0695185i | 0.00920795 | + | 0.00920795i | ||||
\(58\) | 1.98382 | + | 5.70619i | 0.260489 | + | 0.749260i | ||||
\(59\) | 1.62290 | − | 0.936981i | 0.211283 | − | 0.121984i | −0.390624 | − | 0.920550i | \(-0.627741\pi\) |
0.601908 | + | 0.798566i | \(0.294408\pi\) | |||||||
\(60\) | 0.247464 | + | 0.0335071i | 0.0319475 | + | 0.00432575i | ||||
\(61\) | 2.75023 | − | 4.76355i | 0.352131 | − | 0.609909i | −0.634491 | − | 0.772930i | \(-0.718790\pi\) |
0.986623 | + | 0.163021i | \(0.0521237\pi\) | |||||||
\(62\) | 6.21652 | + | 5.37152i | 0.789499 | + | 0.682184i | ||||
\(63\) | 0.847000 | + | 7.88363i | 0.106712 | + | 0.993245i | ||||
\(64\) | 3.38394 | + | 7.24907i | 0.422992 | + | 0.906133i | ||||
\(65\) | 13.2049 | − | 3.27955i | 1.63787 | − | 0.406779i | ||||
\(66\) | 0.166193 | + | 0.244815i | 0.0204569 | + | 0.0301346i | ||||
\(67\) | 7.02830 | + | 1.88323i | 0.858644 | + | 0.230073i | 0.661171 | − | 0.750235i | \(-0.270060\pi\) |
0.197473 | + | 0.980308i | \(0.436727\pi\) | |||||||
\(68\) | −9.94446 | + | 4.29124i | −1.20594 | + | 0.520390i | ||||
\(69\) | 0.278093i | 0.0334785i | ||||||||
\(70\) | −7.62832 | + | 3.43639i | −0.911758 | + | 0.410727i | ||||
\(71\) | −4.52816 | −0.537393 | −0.268697 | − | 0.963225i | \(-0.586593\pi\) | ||||
−0.268697 | + | 0.963225i | \(0.586593\pi\) | |||||||
\(72\) | −3.91555 | − | 7.51791i | −0.461451 | − | 0.885994i | ||||
\(73\) | 1.26600 | − | 4.72479i | 0.148174 | − | 0.552994i | −0.851419 | − | 0.524486i | \(-0.824258\pi\) |
0.999594 | − | 0.0285085i | \(-0.00907576\pi\) | |||||||
\(74\) | 7.11376 | − | 4.82917i | 0.826958 | − | 0.561380i | ||||
\(75\) | −0.0623093 | − | 0.272156i | −0.00719486 | − | 0.0314259i | ||||
\(76\) | 3.48405 | − | 0.510828i | 0.399648 | − | 0.0585960i | ||||
\(77\) | −9.06579 | − | 4.01131i | −1.03314 | − | 0.457131i | ||||
\(78\) | 0.363584 | + | 0.314163i | 0.0411678 | + | 0.0355720i | ||||
\(79\) | −6.17875 | − | 3.56730i | −0.695163 | − | 0.401353i | 0.110380 | − | 0.993889i | \(-0.464793\pi\) |
−0.805544 | + | 0.592537i | \(0.798127\pi\) | |||||||
\(80\) | 6.25462 | − | 6.39373i | 0.699287 | − | 0.714841i | ||||
\(81\) | 4.48597 | + | 7.76993i | 0.498442 | + | 0.863326i | ||||
\(82\) | 5.48232 | − | 1.90599i | 0.605421 | − | 0.210482i | ||||
\(83\) | −3.07998 | + | 3.07998i | −0.338072 | + | 0.338072i | −0.855641 | − | 0.517570i | \(-0.826837\pi\) |
0.517570 | + | 0.855641i | \(0.326837\pi\) | |||||||
\(84\) | −0.254521 | − | 0.150083i | −0.0277705 | − | 0.0163754i | ||||
\(85\) | 8.40383 | + | 8.71833i | 0.911524 | + | 0.945636i | ||||
\(86\) | 5.86828 | − | 12.1232i | 0.632793 | − | 1.30728i | ||||
\(87\) | 0.230407 | + | 0.0617372i | 0.0247022 | + | 0.00661893i | ||||
\(88\) | 10.5881 | + | 0.460097i | 1.12869 | + | 0.0490465i | ||||
\(89\) | −1.41664 | + | 2.45369i | −0.150163 | + | 0.260090i | −0.931287 | − | 0.364286i | \(-0.881313\pi\) |
0.781124 | + | 0.624376i | \(0.214647\pi\) | |||||||
\(90\) | −6.32677 | + | 7.05584i | −0.666901 | + | 0.743751i | ||||
\(91\) | −15.9065 | − | 2.48173i | −1.66745 | − | 0.260156i | ||||
\(92\) | 7.99031 | + | 5.94685i | 0.833047 | + | 0.620002i | ||||
\(93\) | 0.313341 | − | 0.0839595i | 0.0324920 | − | 0.00870620i | ||||
\(94\) | −9.32259 | + | 6.32863i | −0.961551 | + | 0.652749i | ||||
\(95\) | −1.90552 | − | 3.44506i | −0.195502 | − | 0.353456i | ||||
\(96\) | 0.311860 | + | 0.0502141i | 0.0318290 | + | 0.00512495i | ||||
\(97\) | −7.69936 | + | 7.69936i | −0.781751 | + | 0.781751i | −0.980126 | − | 0.198375i | \(-0.936434\pi\) |
0.198375 | + | 0.980126i | \(0.436434\pi\) | |||||||
\(98\) | 9.89639 | − | 0.247915i | 0.999686 | − | 0.0250432i | ||||
\(99\) | −11.2293 | −1.12858 | ||||||||
\(100\) | −9.15218 | − | 4.02960i | −0.915218 | − | 0.402960i | ||||
\(101\) | −2.29636 | − | 3.97742i | −0.228497 | − | 0.395768i | 0.728866 | − | 0.684656i | \(-0.240048\pi\) |
−0.957363 | + | 0.288888i | \(0.906714\pi\) | |||||||
\(102\) | −0.0803492 | + | 0.420035i | −0.00795576 | + | 0.0415896i | ||||
\(103\) | −13.0043 | + | 3.48449i | −1.28135 | + | 0.343337i | −0.834370 | − | 0.551205i | \(-0.814168\pi\) |
−0.446983 | + | 0.894542i | \(0.647502\pi\) | |||||||
\(104\) | 16.8017 | − | 3.72849i | 1.64754 | − | 0.365608i | ||||
\(105\) | −0.0569110 | + | 0.325412i | −0.00555395 | + | 0.0317570i | ||||
\(106\) | 3.57575 | − | 0.260743i | 0.347308 | − | 0.0253256i | ||||
\(107\) | 1.52305 | + | 5.68410i | 0.147239 | + | 0.549502i | 0.999646 | + | 0.0266233i | \(0.00847545\pi\) |
−0.852407 | + | 0.522879i | \(0.824858\pi\) | |||||||
\(108\) | −0.665209 | − | 0.0776591i | −0.0640098 | − | 0.00747275i | ||||
\(109\) | 5.39984 | + | 9.35279i | 0.517211 | + | 0.895835i | 0.999800 | + | 0.0199883i | \(0.00636291\pi\) |
−0.482590 | + | 0.875847i | \(0.660304\pi\) | |||||||
\(110\) | −3.68481 | − | 11.2615i | −0.351332 | − | 1.07374i | ||||
\(111\) | − | 0.339490i | − | 0.0322230i | ||||||
\(112\) | −9.75503 | + | 4.10357i | −0.921764 | + | 0.387751i | ||||
\(113\) | 1.32709 | − | 1.32709i | 0.124842 | − | 0.124842i | −0.641925 | − | 0.766767i | \(-0.721864\pi\) |
0.766767 | + | 0.641925i | \(0.221864\pi\) | |||||||
\(114\) | 0.0605774 | − | 0.125147i | 0.00567360 | − | 0.0117211i | ||||
\(115\) | 3.07929 | − | 10.7019i | 0.287145 | − | 0.997957i | ||||
\(116\) | 6.70097 | − | 5.29994i | 0.622170 | − | 0.492087i | ||||
\(117\) | −17.6141 | + | 4.71969i | −1.62842 | + | 0.436335i | ||||
\(118\) | −2.00529 | − | 1.73271i | −0.184601 | − | 0.159509i | ||||
\(119\) | −5.16549 | − | 13.3643i | −0.473520 | − | 1.22510i | ||||
\(120\) | −0.0701645 | − | 0.346120i | −0.00640511 | − | 0.0315963i | ||||
\(121\) | 1.51994 | − | 2.63261i | 0.138176 | − | 0.239328i | ||||
\(122\) | −7.64030 | − | 1.46153i | −0.691721 | − | 0.132321i | ||||
\(123\) | 0.0593151 | − | 0.221367i | 0.00534826 | − | 0.0199600i | ||||
\(124\) | 4.28825 | − | 10.7985i | 0.385096 | − | 0.969734i | ||||
\(125\) | −0.615695 | + | 11.1634i | −0.0550694 | + | 0.998483i | ||||
\(126\) | 10.1375 | − | 4.79259i | 0.903122 | − | 0.426958i | ||||
\(127\) | 12.5258 | + | 12.5258i | 1.11148 | + | 1.11148i | 0.992950 | + | 0.118534i | \(0.0378195\pi\) |
0.118534 | + | 0.992950i | \(0.462180\pi\) | |||||||
\(128\) | 8.11171 | − | 7.88671i | 0.716981 | − | 0.697093i | ||||
\(129\) | −0.265906 | − | 0.460562i | −0.0234117 | − | 0.0405502i | ||||
\(130\) | −10.5132 | − | 16.1159i | −0.922067 | − | 1.41346i | ||||
\(131\) | −8.12861 | + | 14.0792i | −0.710200 | + | 1.23010i | 0.254582 | + | 0.967051i | \(0.418062\pi\) |
−0.964782 | + | 0.263051i | \(0.915271\pi\) | |||||||
\(132\) | 0.249841 | − | 0.335691i | 0.0217458 | − | 0.0292181i | ||||
\(133\) | 0.497607 | + | 4.63159i | 0.0431480 | + | 0.401610i | ||||
\(134\) | −0.748367 | − | 10.2629i | −0.0646491 | − | 0.886579i | ||||
\(135\) | 0.180483 | + | 0.726701i | 0.0155335 | + | 0.0625444i | ||||
\(136\) | 10.3504 | + | 11.2908i | 0.887541 | + | 0.968180i | ||||
\(137\) | 4.58384 | − | 17.1071i | 0.391624 | − | 1.46156i | −0.435832 | − | 0.900028i | \(-0.643546\pi\) |
0.827456 | − | 0.561531i | \(-0.189788\pi\) | |||||||
\(138\) | 0.371473 | − | 0.129147i | 0.0316219 | − | 0.0109937i | ||||
\(139\) | − | 3.56207i | − | 0.302131i | −0.988524 | − | 0.151065i | \(-0.951730\pi\) | ||
0.988524 | − | 0.151065i | \(-0.0482704\pi\) | |||||||
\(140\) | 8.13290 | + | 8.59395i | 0.687356 | + | 0.726321i | ||||
\(141\) | 0.444902i | 0.0374675i | ||||||||
\(142\) | 2.10289 | + | 6.04866i | 0.176470 | + | 0.507592i | ||||
\(143\) | 5.90099 | − | 22.0228i | 0.493466 | − | 1.84164i | ||||
\(144\) | −8.22394 | + | 8.72167i | −0.685328 | + | 0.726806i | ||||
\(145\) | −8.18316 | − | 4.92711i | −0.679574 | − | 0.409174i | ||||
\(146\) | −6.89925 | + | 0.503091i | −0.570986 | + | 0.0416361i | ||||
\(147\) | 0.211372 | − | 0.328796i | 0.0174337 | − | 0.0271186i | ||||
\(148\) | −9.75440 | − | 7.25980i | −0.801807 | − | 0.596752i | ||||
\(149\) | 4.58723 | − | 7.94532i | 0.375801 | − | 0.650906i | −0.614646 | − | 0.788803i | \(-0.710701\pi\) |
0.990447 | + | 0.137897i | \(0.0440343\pi\) | |||||||
\(150\) | −0.334607 | + | 0.209622i | −0.0273205 | + | 0.0171156i | ||||
\(151\) | 9.34763 | + | 16.1906i | 0.760699 | + | 1.31757i | 0.942491 | + | 0.334232i | \(0.108477\pi\) |
−0.181792 | + | 0.983337i | \(0.558190\pi\) | |||||||
\(152\) | −2.30036 | − | 4.41673i | −0.186584 | − | 0.358244i | ||||
\(153\) | −11.4759 | − | 11.4759i | −0.927771 | − | 0.927771i | ||||
\(154\) | −1.14809 | + | 13.9728i | −0.0925153 | + | 1.12596i | ||||
\(155\) | −12.9880 | − | 0.238562i | −1.04322 | − | 0.0191617i | ||||
\(156\) | 0.250806 | − | 0.631570i | 0.0200806 | − | 0.0505660i | ||||
\(157\) | 4.02855 | − | 15.0347i | 0.321513 | − | 1.19990i | −0.596258 | − | 0.802793i | \(-0.703347\pi\) |
0.917771 | − | 0.397110i | \(-0.129987\pi\) | |||||||
\(158\) | −1.89573 | + | 9.91016i | −0.150817 | + | 0.788410i | ||||
\(159\) | 0.0707810 | − | 0.122596i | 0.00561330 | − | 0.00972251i | ||||
\(160\) | −11.4453 | − | 5.38558i | −0.904833 | − | 0.425767i | ||||
\(161\) | −8.26853 | + | 10.2591i | −0.651651 | + | 0.808530i | ||||
\(162\) | 8.29569 | − | 9.60069i | 0.651771 | − | 0.754301i | ||||
\(163\) | 0.920950 | − | 0.246768i | 0.0721344 | − | 0.0193283i | −0.222571 | − | 0.974916i | \(-0.571445\pi\) |
0.294706 | + | 0.955588i | \(0.404778\pi\) | |||||||
\(164\) | −5.09201 | − | 6.43807i | −0.397619 | − | 0.502729i | ||||
\(165\) | −0.449611 | − | 0.129368i | −0.0350021 | − | 0.0100713i | ||||
\(166\) | 5.54455 | + | 2.68385i | 0.430341 | + | 0.208307i | ||||
\(167\) | 6.11306 | − | 6.11306i | 0.473043 | − | 0.473043i | −0.429855 | − | 0.902898i | \(-0.641435\pi\) |
0.902898 | + | 0.429855i | \(0.141435\pi\) | |||||||
\(168\) | −0.0822794 | + | 0.409685i | −0.00634799 | + | 0.0316079i | ||||
\(169\) | − | 24.0249i | − | 1.84807i | ||||||
\(170\) | 7.74308 | − | 15.2746i | 0.593867 | − | 1.17150i | ||||
\(171\) | 2.63823 | + | 4.56955i | 0.201751 | + | 0.349442i | ||||
\(172\) | −18.9193 | − | 2.20871i | −1.44258 | − | 0.168413i | ||||
\(173\) | −3.21255 | − | 11.9894i | −0.244246 | − | 0.911538i | −0.973761 | − | 0.227574i | \(-0.926921\pi\) |
0.729515 | − | 0.683965i | \(-0.239746\pi\) | |||||||
\(174\) | −0.0245335 | − | 0.336445i | −0.00185988 | − | 0.0255059i | ||||
\(175\) | 5.79337 | − | 11.8927i | 0.437937 | − | 0.899005i | ||||
\(176\) | −4.30254 | − | 14.3571i | −0.324316 | − | 1.08221i | ||||
\(177\) | −0.101076 | + | 0.0270831i | −0.00759731 | + | 0.00203569i | ||||
\(178\) | 3.93549 | + | 0.752828i | 0.294978 | + | 0.0564269i | ||||
\(179\) | 2.68127 | + | 4.64409i | 0.200407 | + | 0.347116i | 0.948660 | − | 0.316299i | \(-0.102440\pi\) |
−0.748252 | + | 0.663414i | \(0.769107\pi\) | |||||||
\(180\) | 12.3633 | + | 5.17448i | 0.921505 | + | 0.385683i | ||||
\(181\) | −6.95811 | −0.517192 | −0.258596 | − | 0.965986i | \(-0.583260\pi\) | ||||
−0.258596 | + | 0.965986i | \(0.583260\pi\) | |||||||
\(182\) | 4.07194 | + | 22.4002i | 0.301832 | + | 1.66041i | ||||
\(183\) | −0.217184 | + | 0.217184i | −0.0160547 | + | 0.0160547i | ||||
\(184\) | 4.23302 | − | 13.4351i | 0.312062 | − | 0.990448i | ||||
\(185\) | −3.75913 | + | 13.0647i | −0.276377 | + | 0.960532i | ||||
\(186\) | −0.257669 | − | 0.379567i | −0.0188932 | − | 0.0278312i | ||||
\(187\) | 19.6001 | − | 5.25182i | 1.43330 | − | 0.384051i | ||||
\(188\) | 12.7831 | + | 9.51397i | 0.932307 | + | 0.693877i | ||||
\(189\) | 0.136576 | − | 0.875375i | 0.00993444 | − | 0.0636742i | ||||
\(190\) | −3.71694 | + | 4.14527i | −0.269655 | + | 0.300729i | ||||
\(191\) | −1.54615 | + | 2.67801i | −0.111876 | + | 0.193774i | −0.916526 | − | 0.399974i | \(-0.869019\pi\) |
0.804651 | + | 0.593748i | \(0.202352\pi\) | |||||||
\(192\) | −0.0777531 | − | 0.439898i | −0.00561134 | − | 0.0317469i | ||||
\(193\) | −8.69632 | − | 2.33017i | −0.625975 | − | 0.167729i | −0.0681324 | − | 0.997676i | \(-0.521704\pi\) |
−0.557843 | + | 0.829947i | \(0.688371\pi\) | |||||||
\(194\) | 13.8603 | + | 6.70911i | 0.995113 | + | 0.481686i | ||||
\(195\) | −0.759628 | − | 0.0139527i | −0.0543981 | − | 0.000999175i | ||||
\(196\) | −4.92707 | − | 13.1043i | −0.351934 | − | 0.936025i | ||||
\(197\) | −10.8714 | + | 10.8714i | −0.774554 | + | 0.774554i | −0.978899 | − | 0.204345i | \(-0.934494\pi\) |
0.204345 | + | 0.978899i | \(0.434494\pi\) | |||||||
\(198\) | 5.21490 | + | 14.9999i | 0.370607 | + | 1.06600i | ||||
\(199\) | 6.35769 | + | 11.0118i | 0.450685 | + | 0.780609i | 0.998429 | − | 0.0560369i | \(-0.0178464\pi\) |
−0.547744 | + | 0.836646i | \(0.684513\pi\) | |||||||
\(200\) | −1.13240 | + | 14.0967i | −0.0800726 | + | 0.996789i | ||||
\(201\) | −0.351868 | − | 0.203151i | −0.0248188 | − | 0.0143292i | ||||
\(202\) | −4.24655 | + | 4.91458i | −0.298786 | + | 0.345789i | ||||
\(203\) | 6.66427 | + | 9.12821i | 0.467740 | + | 0.640675i | ||||
\(204\) | 0.598392 | − | 0.0877355i | 0.0418958 | − | 0.00614272i | ||||
\(205\) | −4.73380 | + | 7.86211i | −0.330623 | + | 0.549114i | ||||
\(206\) | 10.6938 | + | 15.7528i | 0.745071 | + | 1.09755i | ||||
\(207\) | −3.86290 | + | 14.4165i | −0.268490 | + | 1.00202i | ||||
\(208\) | −12.7832 | − | 20.7120i | −0.886358 | − | 1.43612i | ||||
\(209\) | −6.59713 | −0.456333 | ||||||||
\(210\) | 0.461112 | − | 0.0751012i | 0.0318197 | − | 0.00518248i | ||||
\(211\) | 10.9421i | 0.753283i | 0.926359 | + | 0.376641i | \(0.122921\pi\) | ||||
−0.926359 | + | 0.376641i | \(0.877079\pi\) | |||||||
\(212\) | −2.00889 | − | 4.65536i | −0.137971 | − | 0.319732i | ||||
\(213\) | 0.244235 | + | 0.0654425i | 0.0167347 | + | 0.00448405i | ||||
\(214\) | 6.88544 | − | 4.67418i | 0.470679 | − | 0.319520i | ||||
\(215\) | 5.13314 | + | 20.6682i | 0.350077 | + | 1.40956i | ||||
\(216\) | 0.205189 | + | 0.924644i | 0.0139613 | + | 0.0629140i | ||||
\(217\) | 14.0558 | + | 6.21922i | 0.954170 | + | 0.422188i | ||||
\(218\) | 9.98565 | − | 11.5565i | 0.676314 | − | 0.782705i | ||||
\(219\) | −0.136569 | + | 0.236544i | −0.00922844 | + | 0.0159841i | ||||
\(220\) | −13.3317 | + | 10.1520i | −0.898824 | + | 0.684446i | ||||
\(221\) | 28.5371 | − | 16.4759i | 1.91961 | − | 1.10829i | ||||
\(222\) | −0.453487 | + | 0.157660i | −0.0304361 | + | 0.0105815i | ||||
\(223\) | 2.48492 | + | 2.48492i | 0.166402 | + | 0.166402i | 0.785396 | − | 0.618994i | \(-0.212459\pi\) |
−0.618994 | + | 0.785396i | \(0.712459\pi\) | |||||||
\(224\) | 10.0118 | + | 11.1250i | 0.668939 | + | 0.743317i | ||||
\(225\) | 0.550276 | − | 14.9743i | 0.0366851 | − | 0.998287i | ||||
\(226\) | −2.38901 | − | 1.15641i | −0.158915 | − | 0.0769230i | ||||
\(227\) | 4.12260 | − | 15.3858i | 0.273627 | − | 1.02119i | −0.683129 | − | 0.730298i | \(-0.739381\pi\) |
0.956756 | − | 0.290892i | \(-0.0939519\pi\) | |||||||
\(228\) | −0.195302 | − | 0.0228003i | −0.0129342 | − | 0.00150998i | ||||
\(229\) | 18.9874 | + | 10.9624i | 1.25472 | + | 0.724413i | 0.972043 | − | 0.234802i | \(-0.0754443\pi\) |
0.282677 | + | 0.959215i | \(0.408778\pi\) | |||||||
\(230\) | −15.7255 | + | 0.856707i | −1.03691 | + | 0.0564896i | ||||
\(231\) | 0.431008 | + | 0.347380i | 0.0283582 | + | 0.0228559i | ||||
\(232\) | −10.1915 | − | 6.48977i | −0.669108 | − | 0.426075i | ||||
\(233\) | 5.36897 | + | 20.0373i | 0.351733 | + | 1.31268i | 0.884546 | + | 0.466452i | \(0.154468\pi\) |
−0.532814 | + | 0.846233i | \(0.678865\pi\) | |||||||
\(234\) | 14.4845 | + | 21.3369i | 0.946884 | + | 1.39484i | ||||
\(235\) | 4.92635 | − | 17.1212i | 0.321359 | − | 1.11687i | ||||
\(236\) | −1.38328 | + | 3.48331i | −0.0900437 | + | 0.226744i | ||||
\(237\) | 0.281707 | + | 0.281707i | 0.0182988 | + | 0.0182988i | ||||
\(238\) | −15.4530 | + | 13.1064i | −1.00167 | + | 0.849563i | ||||
\(239\) | 20.3337i | 1.31528i | 0.753334 | + | 0.657638i | \(0.228444\pi\) | ||||
−0.753334 | + | 0.657638i | \(0.771556\pi\) | |||||||
\(240\) | −0.429759 | + | 0.254464i | −0.0277408 | + | 0.0164256i | ||||
\(241\) | −0.944202 | + | 0.545135i | −0.0608214 | + | 0.0351152i | −0.530102 | − | 0.847934i | \(-0.677846\pi\) |
0.469281 | + | 0.883049i | \(0.344513\pi\) | |||||||
\(242\) | −4.22247 | − | 0.807724i | −0.271430 | − | 0.0519224i | ||||
\(243\) | −0.389673 | − | 1.45428i | −0.0249975 | − | 0.0932920i | ||||
\(244\) | 1.59588 | + | 10.8846i | 0.102166 | + | 0.696813i | ||||
\(245\) | −11.7750 | + | 10.3126i | −0.752275 | + | 0.658849i | ||||
\(246\) | −0.323246 | + | 0.0235710i | −0.0206094 | + | 0.00150283i | ||||
\(247\) | −10.3482 | + | 2.77279i | −0.658439 | + | 0.176428i | ||||
\(248\) | −16.4160 | − | 0.713344i | −1.04242 | − | 0.0452974i | ||||
\(249\) | 0.210638 | − | 0.121612i | 0.0133486 | − | 0.00770682i | ||||
\(250\) | 15.1978 | − | 4.36186i | 0.961195 | − | 0.275868i | ||||
\(251\) | −1.48689 | −0.0938514 | −0.0469257 | − | 0.998898i | \(-0.514942\pi\) | ||||
−0.0469257 | + | 0.998898i | \(0.514942\pi\) | |||||||
\(252\) | −11.1098 | − | 11.3159i | −0.699850 | − | 0.712834i | ||||
\(253\) | −13.1952 | − | 13.1952i | −0.829572 | − | 0.829572i | ||||
\(254\) | 10.9148 | − | 22.5488i | 0.684855 | − | 1.41484i | ||||
\(255\) | −0.327276 | − | 0.591695i | −0.0204948 | − | 0.0370534i | ||||
\(256\) | −14.3021 | − | 7.17292i | −0.893879 | − | 0.448307i | ||||
\(257\) | −5.18728 | − | 19.3592i | −0.323574 | − | 1.20759i | −0.915738 | − | 0.401776i | \(-0.868393\pi\) |
0.592164 | − | 0.805818i | \(-0.298274\pi\) | |||||||
\(258\) | −0.491726 | + | 0.569080i | −0.0306135 | + | 0.0354294i | ||||
\(259\) | 10.0941 | − | 12.5241i | 0.627214 | − | 0.778209i | ||||
\(260\) | −16.6451 | + | 21.5276i | −1.03229 | + | 1.33509i | ||||
\(261\) | 11.0869 | + | 6.40101i | 0.686260 | + | 0.396212i | ||||
\(262\) | 22.5817 | + | 4.31970i | 1.39510 | + | 0.266872i | ||||
\(263\) | −8.91641 | − | 2.38914i | −0.549809 | − | 0.147321i | −0.0267888 | − | 0.999641i | \(-0.508528\pi\) |
−0.523020 | + | 0.852320i | \(0.675195\pi\) | |||||||
\(264\) | −0.564438 | − | 0.177839i | −0.0347388 | − | 0.0109452i | ||||
\(265\) | −4.08137 | + | 3.93414i | −0.250716 | + | 0.241672i | ||||
\(266\) | 5.95573 | − | 2.81562i | 0.365169 | − | 0.172637i | ||||
\(267\) | 0.111871 | − | 0.111871i | 0.00684636 | − | 0.00684636i | ||||
\(268\) | −13.3615 | + | 5.76578i | −0.816185 | + | 0.352201i | ||||
\(269\) | −5.95369 | + | 3.43736i | −0.363003 | + | 0.209580i | −0.670397 | − | 0.742003i | \(-0.733876\pi\) |
0.307394 | + | 0.951582i | \(0.400543\pi\) | |||||||
\(270\) | 0.886902 | − | 0.578568i | 0.0539751 | − | 0.0352105i | ||||
\(271\) | 10.5876 | + | 6.11278i | 0.643154 | + | 0.371325i | 0.785828 | − | 0.618445i | \(-0.212237\pi\) |
−0.142675 | + | 0.989770i | \(0.545570\pi\) | |||||||
\(272\) | 10.2754 | − | 19.0695i | 0.623037 | − | 1.15626i | ||||
\(273\) | 0.822079 | + | 0.363742i | 0.0497545 | + | 0.0220147i | ||||
\(274\) | −24.9802 | + | 1.82155i | −1.50911 | + | 0.110044i | ||||
\(275\) | 15.8700 | + | 9.95697i | 0.956995 | + | 0.600428i | ||||
\(276\) | −0.345026 | − | 0.436234i | −0.0207681 | − | 0.0262582i | ||||
\(277\) | −6.14171 | − | 1.64567i | −0.369020 | − | 0.0988785i | 0.0695434 | − | 0.997579i | \(-0.477846\pi\) |
−0.438563 | + | 0.898700i | \(0.644512\pi\) | |||||||
\(278\) | −4.75817 | + | 1.65423i | −0.285376 | + | 0.0992143i | ||||
\(279\) | 17.4101 | 1.04232 | ||||||||
\(280\) | 7.70276 | − | 14.8549i | 0.460328 | − | 0.887749i | ||||
\(281\) | −23.9984 | −1.43163 | −0.715813 | − | 0.698292i | \(-0.753944\pi\) | ||||
−0.715813 | + | 0.698292i | \(0.753944\pi\) | |||||||
\(282\) | 0.594295 | − | 0.206614i | 0.0353898 | − | 0.0123037i | ||||
\(283\) | −20.3837 | − | 5.46181i | −1.21169 | − | 0.324671i | −0.404264 | − | 0.914642i | \(-0.632472\pi\) |
−0.807424 | + | 0.589972i | \(0.799139\pi\) | |||||||
\(284\) | 7.10314 | − | 5.61802i | 0.421494 | − | 0.333368i | ||||
\(285\) | 0.0529887 | + | 0.213355i | 0.00313878 | + | 0.0126381i | ||||
\(286\) | −32.1582 | + | 2.34497i | −1.90156 | + | 0.138661i | ||||
\(287\) | 8.77008 | − | 6.40281i | 0.517682 | − | 0.377946i | ||||
\(288\) | 15.4695 | + | 6.93508i | 0.911551 | + | 0.408653i | ||||
\(289\) | 10.6753 | + | 6.16337i | 0.627957 | + | 0.362551i | ||||
\(290\) | −2.78129 | + | 13.2191i | −0.163323 | + | 0.776254i | ||||
\(291\) | 0.526553 | − | 0.304006i | 0.0308671 | − | 0.0178211i | ||||
\(292\) | 3.87605 | + | 8.98230i | 0.226829 | + | 0.525649i | ||||
\(293\) | 10.1545 | − | 10.1545i | 0.593233 | − | 0.593233i | −0.345271 | − | 0.938503i | \(-0.612213\pi\) |
0.938503 | + | 0.345271i | \(0.112213\pi\) | |||||||
\(294\) | −0.537364 | − | 0.129654i | −0.0313397 | − | 0.00756159i | ||||
\(295\) | 4.18960 | + | 0.0769538i | 0.243928 | + | 0.00448042i | ||||
\(296\) | −5.16758 | + | 16.4013i | −0.300360 | + | 0.953305i | ||||
\(297\) | 1.21197 | + | 0.324747i | 0.0703258 | + | 0.0188437i | ||||
\(298\) | −12.7436 | − | 2.43775i | −0.738216 | − | 0.141215i | ||||
\(299\) | −26.2437 | − | 15.1518i | −1.51771 | − | 0.876253i | ||||
\(300\) | 0.435403 | + | 0.349615i | 0.0251380 | + | 0.0201850i | ||||
\(301\) | 3.88438 | − | 24.8967i | 0.223892 | − | 1.43502i | ||||
\(302\) | 17.2861 | − | 20.0054i | 0.994703 | − | 1.15118i | ||||
\(303\) | 0.0663757 | + | 0.247718i | 0.00381319 | + | 0.0142310i | ||||
\(304\) | −4.83152 | + | 5.12393i | −0.277107 | + | 0.293878i | ||||
\(305\) | 10.7628 | − | 5.95306i | 0.616273 | − | 0.340871i | ||||
\(306\) | −9.99993 | + | 20.6588i | −0.571658 | + | 1.18098i | ||||
\(307\) | 23.4389 | + | 23.4389i | 1.33773 | + | 1.33773i | 0.898257 | + | 0.439470i | \(0.144834\pi\) |
0.439470 | + | 0.898257i | \(0.355166\pi\) | |||||||
\(308\) | 19.1979 | − | 4.95542i | 1.09390 | − | 0.282361i | ||||
\(309\) | 0.751771 | 0.0427668 | ||||||||
\(310\) | 5.71301 | + | 17.4600i | 0.324477 | + | 0.991664i | ||||
\(311\) | 2.44989 | − | 1.41445i | 0.138921 | − | 0.0802059i | −0.428929 | − | 0.903338i | \(-0.641109\pi\) |
0.567850 | + | 0.823132i | \(0.307776\pi\) | |||||||
\(312\) | −0.960118 | − | 0.0417212i | −0.0543560 | − | 0.00236200i | ||||
\(313\) | 13.2135 | − | 3.54055i | 0.746871 | − | 0.200124i | 0.134741 | − | 0.990881i | \(-0.456980\pi\) |
0.612130 | + | 0.790757i | \(0.290313\pi\) | |||||||
\(314\) | −21.9541 | + | 1.60088i | −1.23894 | + | 0.0903431i | ||||
\(315\) | −7.47051 | + | 16.0791i | −0.420916 | + | 0.905954i | ||||
\(316\) | 14.1183 | − | 2.07000i | 0.794214 | − | 0.116447i | ||||
\(317\) | −0.583621 | − | 2.17810i | −0.0327794 | − | 0.122334i | 0.947597 | − | 0.319467i | \(-0.103504\pi\) |
−0.980377 | + | 0.197132i | \(0.936837\pi\) | |||||||
\(318\) | −0.196633 | − | 0.0376144i | −0.0110267 | − | 0.00210931i | ||||
\(319\) | −13.8618 | + | 8.00314i | −0.776114 | + | 0.448090i | ||||
\(320\) | −1.87875 | + | 17.7896i | −0.105026 | + | 0.994470i | ||||
\(321\) | − | 0.328594i | − | 0.0183403i | ||||||
\(322\) | 17.5439 | + | 6.28066i | 0.977684 | + | 0.350007i | ||||
\(323\) | −6.74202 | − | 6.74202i | −0.375136 | − | 0.375136i | ||||
\(324\) | −16.6770 | − | 6.62270i | −0.926501 | − | 0.367928i | ||||
\(325\) | 29.0784 | + | 8.94822i | 1.61298 | + | 0.496358i | ||||
\(326\) | −0.757321 | − | 1.11559i | −0.0419441 | − | 0.0617871i | ||||
\(327\) | −0.156081 | − | 0.582501i | −0.00863128 | − | 0.0322124i | ||||
\(328\) | −6.23516 | + | 9.79170i | −0.344279 | + | 0.540656i | ||||
\(329\) | −13.2283 | + | 16.4128i | −0.729297 | + | 0.904869i | ||||
\(330\) | 0.0359922 | + | 0.660663i | 0.00198131 | + | 0.0363683i | ||||
\(331\) | −1.73851 | − | 1.00373i | −0.0955571 | − | 0.0551699i | 0.451460 | − | 0.892291i | \(-0.350903\pi\) |
−0.547017 | + | 0.837121i | \(0.684237\pi\) | |||||||
\(332\) | 1.01015 | − | 8.65273i | 0.0554394 | − | 0.474880i | ||||
\(333\) | 4.71575 | − | 17.5994i | 0.258422 | − | 0.964443i | ||||
\(334\) | −11.0047 | − | 5.32684i | −0.602149 | − | 0.291472i | ||||
\(335\) | 11.2915 | + | 11.7141i | 0.616921 | + | 0.640008i | ||||
\(336\) | 0.585463 | − | 0.0803508i | 0.0319396 | − | 0.00438349i | ||||
\(337\) | −10.6500 | − | 10.6500i | −0.580145 | − | 0.580145i | 0.354798 | − | 0.934943i | \(-0.384550\pi\) |
−0.934943 | + | 0.354798i | \(0.884550\pi\) | |||||||
\(338\) | −32.0922 | + | 11.1572i | −1.74559 | + | 0.606874i | ||||
\(339\) | −0.0907587 | + | 0.0523995i | −0.00492933 | + | 0.00284595i | ||||
\(340\) | −23.9995 | − | 3.24958i | −1.30155 | − | 0.176233i | ||||
\(341\) | −10.8839 | + | 18.8514i | −0.589394 | + | 1.02086i | ||||
\(342\) | 4.87875 | − | 5.64623i | 0.263813 | − | 0.305313i | ||||
\(343\) | 17.5738 | − | 5.84487i | 0.948895 | − | 0.315593i | ||||
\(344\) | 5.83581 | + | 26.2979i | 0.314646 | + | 1.41789i | ||||
\(345\) | −0.320755 | + | 0.532724i | −0.0172689 | + | 0.0286809i | ||||
\(346\) | −14.5234 | + | 9.85921i | −0.780783 | + | 0.530034i | ||||
\(347\) | 10.7100 | + | 2.86974i | 0.574944 | + | 0.154056i | 0.534563 | − | 0.845129i | \(-0.320476\pi\) |
0.0403807 | + | 0.999184i | \(0.487143\pi\) | |||||||
\(348\) | −0.438026 | + | 0.189018i | −0.0234807 | + | 0.0101324i | ||||
\(349\) | − | 11.5660i | − | 0.619115i | −0.950881 | − | 0.309557i | \(-0.899819\pi\) | ||
0.950881 | − | 0.309557i | \(-0.100181\pi\) | |||||||
\(350\) | −18.5766 | − | 2.21570i | −0.992962 | − | 0.118434i | ||||
\(351\) | 2.03758 | 0.108758 | ||||||||
\(352\) | −17.1799 | + | 12.4147i | −0.915693 | + | 0.661708i | ||||
\(353\) | 0.234563 | − | 0.875400i | 0.0124845 | − | 0.0465928i | −0.959403 | − | 0.282040i | \(-0.908989\pi\) |
0.971887 | + | 0.235447i | \(0.0756555\pi\) | |||||||
\(354\) | 0.0831171 | + | 0.122438i | 0.00441763 | + | 0.00650752i | ||||
\(355\) | −8.67428 | − | 5.22281i | −0.460383 | − | 0.277198i | ||||
\(356\) | −0.822034 | − | 5.60660i | −0.0435677 | − | 0.297149i | ||||
\(357\) | 0.0854649 | + | 0.795483i | 0.00452328 | + | 0.0421014i | ||||
\(358\) | 4.95833 | − | 5.73833i | 0.262056 | − | 0.303280i | ||||
\(359\) | −17.7035 | − | 10.2211i | −0.934358 | − | 0.539452i | −0.0461705 | − | 0.998934i | \(-0.514702\pi\) |
−0.888187 | + | 0.459482i | \(0.848035\pi\) | |||||||
\(360\) | 1.17047 | − | 18.9178i | 0.0616892 | − | 0.997054i | ||||
\(361\) | −7.95005 | − | 13.7699i | −0.418424 | − | 0.724732i | ||||
\(362\) | 3.23136 | + | 9.29456i | 0.169837 | + | 0.488511i | ||||
\(363\) | −0.120028 | + | 0.120028i | −0.00629983 | + | 0.00629983i | ||||
\(364\) | 28.0309 | − | 15.8420i | 1.46922 | − | 0.830344i | ||||
\(365\) | 7.87480 | − | 7.59074i | 0.412186 | − | 0.397317i | ||||
\(366\) | 0.390972 | + | 0.189251i | 0.0204364 | + | 0.00989229i | ||||
\(367\) | −8.58050 | − | 2.29914i | −0.447899 | − | 0.120014i | 0.0278174 | − | 0.999613i | \(-0.491144\pi\) |
−0.475716 | + | 0.879599i | \(0.657811\pi\) | |||||||
\(368\) | −19.9123 | + | 0.584870i | −1.03800 | + | 0.0304884i | ||||
\(369\) | 6.14988 | − | 10.6519i | 0.320150 | − | 0.554516i | ||||
\(370\) | 19.1974 | − | 1.04585i | 0.998023 | − | 0.0543712i | ||||
\(371\) | 6.25632 | − | 2.41815i | 0.324812 | − | 0.125544i | ||||
\(372\) | −0.387359 | + | 0.520462i | −0.0200836 | + | 0.0269847i | ||||
\(373\) | −5.19406 | + | 1.39174i | −0.268938 | + | 0.0720617i | −0.390768 | − | 0.920489i | \(-0.627790\pi\) |
0.121830 | + | 0.992551i | \(0.461124\pi\) | |||||||
\(374\) | −16.1176 | − | 23.7426i | −0.833423 | − | 1.22770i | ||||
\(375\) | 0.194546 | − | 0.593220i | 0.0100463 | − | 0.0306337i | ||||
\(376\) | 6.77212 | − | 21.4939i | 0.349246 | − | 1.10846i | ||||
\(377\) | −18.3798 | + | 18.3798i | −0.946608 | + | 0.946608i | ||||
\(378\) | −1.23274 | + | 0.224090i | −0.0634054 | + | 0.0115259i | ||||
\(379\) | 30.9658 | 1.59061 | 0.795304 | − | 0.606211i | \(-0.207311\pi\) | ||||
0.795304 | + | 0.606211i | \(0.207311\pi\) | |||||||
\(380\) | 7.26336 | + | 3.03998i | 0.372602 | + | 0.155948i | ||||
\(381\) | −0.494575 | − | 0.856630i | −0.0253379 | − | 0.0438865i | ||||
\(382\) | 4.29529 | + | 0.821655i | 0.219766 | + | 0.0420395i | ||||
\(383\) | 27.0985 | − | 7.26102i | 1.38467 | − | 0.371021i | 0.511854 | − | 0.859073i | \(-0.328959\pi\) |
0.872815 | + | 0.488052i | \(0.162292\pi\) | |||||||
\(384\) | −0.551502 | + | 0.308151i | −0.0281437 | + | 0.0157253i | ||||
\(385\) | −12.7400 | − | 18.1408i | −0.649293 | − | 0.924538i | ||||
\(386\) | 0.925976 | + | 12.6986i | 0.0471309 | + | 0.646341i | ||||
\(387\) | −7.38722 | − | 27.5695i | −0.375513 | − | 1.40144i | ||||
\(388\) | 2.52519 | − | 21.6302i | 0.128197 | − | 1.09811i | ||||
\(389\) | 8.63042 | + | 14.9483i | 0.437579 | + | 0.757910i | 0.997502 | − | 0.0706349i | \(-0.0225025\pi\) |
−0.559923 | + | 0.828545i | \(0.689169\pi\) | |||||||
\(390\) | 0.334135 | + | 1.02118i | 0.0169196 | + | 0.0517096i | ||||
\(391\) | − | 26.9699i | − | 1.36393i | ||||||
\(392\) | −15.2165 | + | 12.6672i | −0.768549 | + | 0.639791i | ||||
\(393\) | 0.641909 | − | 0.641909i | 0.0323800 | − | 0.0323800i | ||||
\(394\) | 19.5706 | + | 9.47317i | 0.985951 | + | 0.477251i | ||||
\(395\) | −7.72166 | − | 13.9603i | −0.388519 | − | 0.702417i | ||||
\(396\) | 17.6149 | − | 13.9320i | 0.885182 | − | 0.700109i | ||||
\(397\) | 8.56227 | − | 2.29425i | 0.429728 | − | 0.115145i | −0.0374705 | − | 0.999298i | \(-0.511930\pi\) |
0.467198 | + | 0.884152i | \(0.345263\pi\) | |||||||
\(398\) | 11.7570 | − | 13.6065i | 0.589324 | − | 0.682030i | ||||
\(399\) | 0.0400979 | − | 0.257005i | 0.00200741 | − | 0.0128664i | ||||
\(400\) | 19.3561 | − | 5.03391i | 0.967806 | − | 0.251696i | ||||
\(401\) | 3.68412 | − | 6.38109i | 0.183976 | − | 0.318656i | −0.759255 | − | 0.650793i | \(-0.774436\pi\) |
0.943231 | + | 0.332137i | \(0.107770\pi\) | |||||||
\(402\) | −0.107958 | + | 0.564365i | −0.00538448 | + | 0.0281480i | ||||
\(403\) | −9.14903 | + | 34.1446i | −0.455746 | + | 1.70087i | ||||
\(404\) | 8.53695 | + | 3.39015i | 0.424729 | + | 0.168666i | ||||
\(405\) | −0.368431 | + | 20.0585i | −0.0183075 | + | 0.996715i | ||||
\(406\) | 9.09845 | − | 13.1412i | 0.451549 | − | 0.652187i | ||||
\(407\) | 16.1084 | + | 16.1084i | 0.798462 | + | 0.798462i | ||||
\(408\) | −0.395091 | − | 0.758580i | −0.0195599 | − | 0.0375553i | ||||
\(409\) | 5.50433 | + | 9.53377i | 0.272171 | + | 0.471415i | 0.969418 | − | 0.245417i | \(-0.0789249\pi\) |
−0.697246 | + | 0.716832i | \(0.745592\pi\) | |||||||
\(410\) | 12.7005 | + | 2.67217i | 0.627233 | + | 0.131969i | ||||
\(411\) | −0.494476 | + | 0.856458i | −0.0243907 | + | 0.0422459i | ||||
\(412\) | 16.0762 | − | 21.6003i | 0.792017 | − | 1.06417i | ||||
\(413\) | −4.53403 | − | 2.00616i | −0.223105 | − | 0.0987166i | ||||
\(414\) | 21.0514 | − | 1.53506i | 1.03462 | − | 0.0754441i | ||||
\(415\) | −9.45258 | + | 2.34763i | −0.464009 | + | 0.115241i | ||||
\(416\) | −21.7303 | + | 26.6944i | −1.06542 | + | 1.30880i | ||||
\(417\) | −0.0514803 | + | 0.192127i | −0.00252100 | + | 0.00940850i | ||||
\(418\) | 3.06372 | + | 8.81236i | 0.149852 | + | 0.431027i | ||||
\(419\) | − | 13.4016i | − | 0.654713i | −0.944901 | − | 0.327357i | \(-0.893842\pi\) | ||
0.944901 | − | 0.327357i | \(-0.106158\pi\) | |||||||
\(420\) | −0.314461 | − | 0.581070i | −0.0153441 | − | 0.0283533i | ||||
\(421\) | 17.7711i | 0.866112i | 0.901367 | + | 0.433056i | \(0.142565\pi\) | ||||
−0.901367 | + | 0.433056i | \(0.857435\pi\) | |||||||
\(422\) | 14.6163 | − | 5.08152i | 0.711509 | − | 0.247365i | ||||
\(423\) | −6.17999 | + | 23.0641i | −0.300482 | + | 1.12141i | ||||
\(424\) | −5.28565 | + | 4.84541i | −0.256694 | + | 0.235314i | ||||
\(425\) | 6.04286 | + | 26.3942i | 0.293122 | + | 1.28031i | ||||
\(426\) | −0.0260059 | − | 0.356638i | −0.00125999 | − | 0.0172791i | ||||
\(427\) | −14.4696 | + | 1.55458i | −0.700233 | + | 0.0752315i | ||||
\(428\) | −9.44133 | − | 7.02679i | −0.456364 | − | 0.339653i | ||||
\(429\) | −0.636562 | + | 1.10256i | −0.0307335 | + | 0.0532320i | ||||
\(430\) | 25.2245 | − | 16.4552i | 1.21643 | − | 0.793538i | ||||
\(431\) | −15.1590 | − | 26.2561i | −0.730182 | − | 1.26471i | −0.956805 | − | 0.290730i | \(-0.906102\pi\) |
0.226623 | − | 0.973983i | \(-0.427231\pi\) | |||||||
\(432\) | 1.13984 | − | 0.703495i | 0.0548405 | − | 0.0338469i | ||||
\(433\) | −14.0280 | − | 14.0280i | −0.674144 | − | 0.674144i | 0.284525 | − | 0.958669i | \(-0.408164\pi\) |
−0.958669 | + | 0.284525i | \(0.908164\pi\) | |||||||
\(434\) | 1.78002 | − | 21.6638i | 0.0854436 | − | 1.03990i | ||||
\(435\) | 0.370166 | + | 0.384019i | 0.0177481 | + | 0.0184123i | ||||
\(436\) | −20.0744 | − | 7.97185i | −0.961389 | − | 0.381782i | ||||
\(437\) | −2.26943 | + | 8.46964i | −0.108562 | + | 0.405158i | ||||
\(438\) | 0.379395 | + | 0.0725752i | 0.0181282 | + | 0.00346778i | ||||
\(439\) | 1.65155 | − | 2.86056i | 0.0788240 | − | 0.136527i | −0.823919 | − | 0.566708i | \(-0.808217\pi\) |
0.902743 | + | 0.430181i | \(0.141550\pi\) | |||||||
\(440\) | 19.7522 | + | 13.0937i | 0.941648 | + | 0.624220i | ||||
\(441\) | 15.5249 | − | 14.1089i | 0.739280 | − | 0.671854i | ||||
\(442\) | −35.2610 | − | 30.4681i | −1.67720 | − | 1.44922i | ||||
\(443\) | 12.0471 | − | 3.22800i | 0.572373 | − | 0.153367i | 0.0389885 | − | 0.999240i | \(-0.487586\pi\) |
0.533385 | + | 0.845873i | \(0.320920\pi\) | |||||||
\(444\) | 0.421201 | + | 0.532545i | 0.0199893 | + | 0.0252735i | ||||
\(445\) | −5.54386 | + | 3.06640i | −0.262804 | + | 0.145361i | ||||
\(446\) | 2.16532 | − | 4.47333i | 0.102531 | − | 0.211818i | ||||
\(447\) | −0.362250 | + | 0.362250i | −0.0171338 | + | 0.0171338i | ||||
\(448\) | 10.2111 | − | 18.5401i | 0.482429 | − | 0.875935i | ||||
\(449\) | 3.40379i | 0.160635i | 0.996769 | + | 0.0803175i | \(0.0255934\pi\) | ||||
−0.996769 | + | 0.0803175i | \(0.974407\pi\) | |||||||
\(450\) | −20.2580 | + | 6.21905i | −0.954974 | + | 0.293169i | ||||
\(451\) | 7.68915 | + | 13.3180i | 0.362068 | + | 0.627120i | ||||
\(452\) | −0.435251 | + | 3.72826i | −0.0204725 | + | 0.175362i | ||||
\(453\) | −0.270190 | − | 1.00836i | −0.0126946 | − | 0.0473771i | ||||
\(454\) | −22.4667 | + | 1.63826i | −1.05441 | + | 0.0768874i | ||||
\(455\) | −27.6085 | − | 23.1007i | −1.29431 | − | 1.08298i | ||||
\(456\) | 0.0602422 | + | 0.271470i | 0.00282110 | + | 0.0127128i | ||||
\(457\) | 0.351206 | − | 0.0941053i | 0.0164287 | − | 0.00440206i | −0.250595 | − | 0.968092i | \(-0.580626\pi\) |
0.267024 | + | 0.963690i | \(0.413960\pi\) | |||||||
\(458\) | 5.82561 | − | 30.4540i | 0.272213 | − | 1.42302i | ||||
\(459\) | 0.906713 | + | 1.57047i | 0.0423217 | + | 0.0733034i | ||||
\(460\) | 8.44734 | + | 20.6081i | 0.393859 | + | 0.960857i | ||||
\(461\) | −10.4726 | −0.487757 | −0.243878 | − | 0.969806i | \(-0.578420\pi\) | ||||
−0.243878 | + | 0.969806i | \(0.578420\pi\) | |||||||
\(462\) | 0.263864 | − | 0.737059i | 0.0122761 | − | 0.0342911i | ||||
\(463\) | −28.3258 | + | 28.3258i | −1.31641 | + | 1.31641i | −0.399816 | + | 0.916595i | \(0.630926\pi\) |
−0.916595 | + | 0.399816i | \(0.869074\pi\) | |||||||
\(464\) | −3.93599 | + | 16.6276i | −0.182724 | + | 0.771918i | ||||
\(465\) | 0.697086 | + | 0.200575i | 0.0323266 | + | 0.00930144i | ||||
\(466\) | 24.2722 | − | 16.4772i | 1.12439 | − | 0.763290i | ||||
\(467\) | 16.2432 | − | 4.35235i | 0.751645 | − | 0.201403i | 0.137398 | − | 0.990516i | \(-0.456126\pi\) |
0.614248 | + | 0.789113i | \(0.289460\pi\) | |||||||
\(468\) | 21.7749 | − | 29.2572i | 1.00655 | − | 1.35241i | ||||
\(469\) | −6.94043 | − | 17.9565i | −0.320479 | − | 0.829154i | ||||
\(470\) | −25.1582 | + | 1.37059i | −1.16046 | + | 0.0632205i | ||||
\(471\) | −0.434575 | + | 0.752705i | −0.0200241 | + | 0.0346828i | ||||
\(472\) | 5.29537 | + | 0.230106i | 0.243739 | + | 0.0105915i | ||||
\(473\) | 34.4699 | + | 9.23619i | 1.58493 | + | 0.424681i | ||||
\(474\) | 0.245475 | − | 0.507126i | 0.0112750 | − | 0.0232931i | ||||
\(475\) | 0.323284 | − | 8.79731i | 0.0148333 | − | 0.403648i | ||||
\(476\) | 24.6838 | + | 14.5553i | 1.13138 | + | 0.667142i | ||||
\(477\) | 5.37228 | − | 5.37228i | 0.245980 | − | 0.245980i | ||||
\(478\) | 27.1615 | − | 9.44300i | 1.24234 | − | 0.431913i | ||||
\(479\) | −14.0936 | − | 24.4108i | −0.643951 | − | 1.11536i | −0.984543 | − | 0.175145i | \(-0.943961\pi\) |
0.340591 | − | 0.940211i | \(-0.389373\pi\) | |||||||
\(480\) | 0.539491 | + | 0.455893i | 0.0246243 | + | 0.0208086i | ||||
\(481\) | 32.0378 | + | 18.4970i | 1.46080 | + | 0.843393i | ||||
\(482\) | 1.16667 | + | 1.00809i | 0.0531406 | + | 0.0459173i | ||||
\(483\) | 0.594247 | − | 0.433844i | 0.0270392 | − | 0.0197406i | ||||
\(484\) | 0.881976 | + | 6.01543i | 0.0400898 | + | 0.273429i | ||||
\(485\) | −23.6296 | + | 5.86864i | −1.07297 | + | 0.266481i | ||||
\(486\) | −1.76164 | + | 1.19589i | −0.0799098 | + | 0.0542467i | ||||
\(487\) | 5.91583 | − | 22.0782i | 0.268072 | − | 1.00046i | −0.692271 | − | 0.721637i | \(-0.743390\pi\) |
0.960343 | − | 0.278821i | \(-0.0899436\pi\) | |||||||
\(488\) | 13.7983 | − | 7.18658i | 0.624622 | − | 0.325321i | ||||
\(489\) | −0.0532396 | −0.00240758 | ||||||||
\(490\) | 19.2438 | + | 10.9397i | 0.869346 | + | 0.494204i | ||||
\(491\) | − | 1.47474i | − | 0.0665541i | −0.999446 | − | 0.0332770i | \(-0.989406\pi\) | ||
0.999446 | − | 0.0332770i | \(-0.0105944\pi\) | |||||||
\(492\) | 0.181602 | + | 0.420841i | 0.00818724 | + | 0.0189730i | ||||
\(493\) | −22.3452 | − | 5.98738i | −1.00638 | − | 0.269658i | ||||
\(494\) | 8.50958 | + | 12.5353i | 0.382864 | + | 0.563990i | ||||
\(495\) | −21.5111 | − | 12.9519i | −0.966854 | − | 0.582146i | ||||
\(496\) | 6.67075 | + | 22.2596i | 0.299525 | + | 0.999484i | ||||
\(497\) | 7.06423 | + | 9.67605i | 0.316874 | + | 0.434030i | ||||
\(498\) | −0.260268 | − | 0.224890i | −0.0116629 | − | 0.0100776i | ||||
\(499\) | −15.5177 | + | 26.8775i | −0.694670 | + | 1.20320i | 0.275622 | + | 0.961266i | \(0.411116\pi\) |
−0.970292 | + | 0.241937i | \(0.922217\pi\) | |||||||
\(500\) | −12.8844 | − | 18.2754i | −0.576209 | − | 0.817302i | ||||
\(501\) | −0.418068 | + | 0.241372i | −0.0186779 | + | 0.0107837i | ||||
\(502\) | 0.690513 | + | 1.98616i | 0.0308191 | + | 0.0886469i | ||||
\(503\) | −7.25876 | − | 7.25876i | −0.323652 | − | 0.323652i | 0.526514 | − | 0.850166i | \(-0.323499\pi\) |
−0.850166 | + | 0.526514i | \(0.823499\pi\) | |||||||
\(504\) | −9.95622 | + | 20.0954i | −0.443485 | + | 0.895122i | ||||
\(505\) | 0.188599 | − | 10.2679i | 0.00839256 | − | 0.456916i | ||||
\(506\) | −11.4981 | + | 23.7538i | −0.511152 | + | 1.05598i | ||||
\(507\) | −0.347217 | + | 1.29583i | −0.0154204 | + | 0.0575499i | ||||
\(508\) | −35.1893 | − | 4.10813i | −1.56127 | − | 0.182269i | ||||
\(509\) | −6.96639 | − | 4.02204i | −0.308780 | − | 0.178274i | 0.337601 | − | 0.941289i | \(-0.390385\pi\) |
−0.646380 | + | 0.763015i | \(0.723718\pi\) | |||||||
\(510\) | −0.638391 | + | 0.711957i | −0.0282684 | + | 0.0315260i | ||||
\(511\) | −12.0713 | + | 4.66571i | −0.534002 | + | 0.206399i | ||||
\(512\) | −2.93959 | + | 22.4357i | −0.129913 | + | 0.991525i | ||||
\(513\) | −0.152594 | − | 0.569488i | −0.00673719 | − | 0.0251435i | ||||
\(514\) | −23.4508 | + | 15.9196i | −1.03437 | + | 0.702182i | ||||
\(515\) | −28.9305 | − | 8.32427i | −1.27483 | − | 0.366811i | ||||
\(516\) | 0.988529 | + | 0.392560i | 0.0435175 | + | 0.0172815i | ||||
\(517\) | −21.1100 | − | 21.1100i | −0.928418 | − | 0.928418i | ||||
\(518\) | −21.4172 | − | 7.66729i | −0.941019 | − | 0.336882i | ||||
\(519\) | 0.693101i | 0.0304238i | ||||||||
\(520\) | 36.4864 | + | 12.2368i | 1.60003 | + | 0.536621i | ||||
\(521\) | 13.1440 | − | 7.58870i | 0.575849 | − | 0.332467i | −0.183633 | − | 0.982995i | \(-0.558786\pi\) |
0.759482 | + | 0.650528i | \(0.225452\pi\) | |||||||
\(522\) | 3.40162 | − | 17.7824i | 0.148885 | − | 0.778313i | ||||
\(523\) | 7.71537 | + | 28.7942i | 0.337370 | + | 1.25908i | 0.901277 | + | 0.433243i | \(0.142631\pi\) |
−0.563908 | + | 0.825838i | \(0.690703\pi\) | |||||||
\(524\) | −4.71680 | − | 32.1705i | −0.206055 | − | 1.40537i | ||||
\(525\) | −0.484354 | + | 0.557729i | −0.0211389 | + | 0.0243413i | ||||
\(526\) | 0.949411 | + | 13.0200i | 0.0413963 | + | 0.567697i | ||||
\(527\) | −30.3884 | + | 8.14254i | −1.32374 | + | 0.354694i | ||||
\(528\) | 0.0245717 | + | 0.836559i | 0.00106935 | + | 0.0364066i | ||||
\(529\) | −1.56103 | + | 0.901260i | −0.0678708 | + | 0.0391852i | ||||
\(530\) | 7.15058 | + | 3.62482i | 0.310601 | + | 0.157452i | ||||
\(531\) | −5.61604 | −0.243715 | ||||||||
\(532\) | −6.52693 | − | 6.64802i | −0.282978 | − | 0.288228i | ||||
\(533\) | 17.6587 | + | 17.6587i | 0.764884 | + | 0.764884i | ||||
\(534\) | −0.201388 | − | 0.0974824i | −0.00871492 | − | 0.00421848i | ||||
\(535\) | −3.63848 | + | 12.6453i | −0.157305 | + | 0.546706i | ||||
\(536\) | 13.9070 | + | 15.1705i | 0.600690 | + | 0.655267i | ||||
\(537\) | −0.0775012 | − | 0.289238i | −0.00334442 | − | 0.0124816i | ||||
\(538\) | 7.35649 | + | 6.35654i | 0.317161 | + | 0.274050i | ||||
\(539\) | 5.57163 | + | 25.6303i | 0.239987 | + | 1.10397i | ||||
\(540\) | −1.18472 | − | 0.916024i | −0.0509824 | − | 0.0394194i | ||||
\(541\) | −8.36126 | − | 4.82737i | −0.359479 | − | 0.207545i | 0.309373 | − | 0.950941i | \(-0.399881\pi\) |
−0.668852 | + | 0.743396i | \(0.733214\pi\) | |||||||
\(542\) | 3.24845 | − | 16.9816i | 0.139533 | − | 0.729424i | ||||
\(543\) | 0.375299 | + | 0.100561i | 0.0161056 | + | 0.00431549i | ||||
\(544\) | −30.2447 | − | 4.86984i | −1.29673 | − | 0.208793i | ||||
\(545\) | −0.443486 | + | 24.1447i | −0.0189969 | + | 1.03425i | ||||
\(546\) | 0.104108 | − | 1.26705i | 0.00445539 | − | 0.0542246i | ||||
\(547\) | −14.8032 | + | 14.8032i | −0.632938 | + | 0.632938i | −0.948804 | − | 0.315866i | \(-0.897705\pi\) |
0.315866 | + | 0.948804i | \(0.397705\pi\) | |||||||
\(548\) | 14.0341 | + | 32.5224i | 0.599506 | + | 1.38929i | ||||
\(549\) | −14.2758 | + | 8.24213i | −0.609276 | + | 0.351765i | ||||
\(550\) | 5.93035 | − | 25.8229i | 0.252871 | − | 1.10109i | ||||
\(551\) | 6.51347 | + | 3.76055i | 0.277483 | + | 0.160205i | ||||
\(552\) | −0.422485 | + | 0.663470i | −0.0179821 | + | 0.0282392i | ||||
\(553\) | 2.01643 | + | 18.7684i | 0.0857474 | + | 0.798113i | ||||
\(554\) | 0.653964 | + | 8.96828i | 0.0277843 | + | 0.381026i | ||||
\(555\) | 0.391571 | − | 0.650339i | 0.0166213 | − | 0.0276053i | ||||
\(556\) | 4.41941 | + | 5.58768i | 0.187425 | + | 0.236970i | ||||
\(557\) | −29.1024 | − | 7.79797i | −1.23311 | − | 0.330411i | −0.417320 | − | 0.908760i | \(-0.637031\pi\) |
−0.815790 | + | 0.578349i | \(0.803697\pi\) | |||||||
\(558\) | −8.08529 | − | 23.2562i | −0.342278 | − | 0.984514i | ||||
\(559\) | 57.9512 | 2.45107 | ||||||||
\(560\) | −23.4202 | − | 3.39061i | −0.989682 | − | 0.143279i | ||||
\(561\) | −1.13307 | −0.0478381 | ||||||||
\(562\) | 11.1449 | + | 32.0568i | 0.470121 | + | 1.35224i | ||||
\(563\) | 9.75655 | + | 2.61426i | 0.411189 | + | 0.110178i | 0.458483 | − | 0.888703i | \(-0.348393\pi\) |
−0.0472936 | + | 0.998881i | \(0.515060\pi\) | |||||||
\(564\) | −0.551984 | − | 0.697901i | −0.0232427 | − | 0.0293869i | ||||
\(565\) | 4.07289 | − | 1.01154i | 0.171348 | − | 0.0425558i | ||||
\(566\) | 2.17044 | + | 29.7648i | 0.0912305 | + | 1.25111i | ||||
\(567\) | 9.60486 | − | 21.7075i | 0.403366 | − | 0.911631i | ||||
\(568\) | −10.8032 | − | 6.87927i | −0.453292 | − | 0.288648i | ||||
\(569\) | 27.0460 | + | 15.6150i | 1.13383 | + | 0.654616i | 0.944895 | − | 0.327374i | \(-0.106164\pi\) |
0.188933 | + | 0.981990i | \(0.439497\pi\) | |||||||
\(570\) | 0.260389 | − | 0.169864i | 0.0109065 | − | 0.00711483i | ||||
\(571\) | 0.941648 | − | 0.543661i | 0.0394068 | − | 0.0227515i | −0.480167 | − | 0.877177i | \(-0.659424\pi\) |
0.519574 | + | 0.854425i | \(0.326091\pi\) | |||||||
\(572\) | 18.0667 | + | 41.8676i | 0.755408 | + | 1.75057i | ||||
\(573\) | 0.122098 | − | 0.122098i | 0.00510073 | − | 0.00510073i | ||||
\(574\) | −12.6256 | − | 8.74149i | −0.526984 | − | 0.364863i | ||||
\(575\) | 18.2424 | − | 16.9492i | 0.760763 | − | 0.706831i | ||||
\(576\) | 2.07971 | − | 23.8847i | 0.0866545 | − | 0.995195i | ||||
\(577\) | 0.903504 | + | 0.242093i | 0.0376133 | + | 0.0100785i | 0.277577 | − | 0.960703i | \(-0.410469\pi\) |
−0.239963 | + | 0.970782i | \(0.577135\pi\) | |||||||
\(578\) | 3.27534 | − | 17.1222i | 0.136236 | − | 0.712189i | ||||
\(579\) | 0.435376 | + | 0.251365i | 0.0180936 | + | 0.0104464i | ||||
\(580\) | 18.9496 | − | 2.42378i | 0.786839 | − | 0.100642i | ||||
\(581\) | 11.3865 | + | 1.77652i | 0.472391 | + | 0.0737024i | ||||
\(582\) | −0.650620 | − | 0.562183i | −0.0269691 | − | 0.0233032i | ||||
\(583\) | 2.45857 | + | 9.17550i | 0.101823 | + | 0.380010i | ||||
\(584\) | 10.1984 | − | 9.34898i | 0.422013 | − | 0.386864i | ||||
\(585\) | −39.1859 | − | 11.2751i | −1.62014 | − | 0.466167i | ||||
\(586\) | −18.2801 | − | 8.84849i | −0.755142 | − | 0.365528i | ||||
\(587\) | −17.2886 | − | 17.2886i | −0.713579 | − | 0.713579i | 0.253703 | − | 0.967282i | \(-0.418351\pi\) |
−0.967282 | + | 0.253703i | \(0.918351\pi\) | |||||||
\(588\) | 0.0763623 | + | 0.778016i | 0.00314913 | + | 0.0320848i | ||||
\(589\) | 10.2283 | 0.421451 | ||||||||
\(590\) | −1.84287 | − | 5.63215i | −0.0758696 | − | 0.231872i | ||||
\(591\) | 0.743486 | − | 0.429252i | 0.0305829 | − | 0.0176571i | ||||
\(592\) | 24.3085 | − | 0.713997i | 0.999072 | − | 0.0293451i | ||||
\(593\) | −18.0866 | + | 4.84630i | −0.742729 | + | 0.199014i | −0.610291 | − | 0.792178i | \(-0.708947\pi\) |
−0.132438 | + | 0.991191i | \(0.542281\pi\) | |||||||
\(594\) | −0.129050 | − | 1.76975i | −0.00529498 | − | 0.0726139i | ||||
\(595\) | 5.51933 | − | 31.5590i | 0.226270 | − | 1.29379i | ||||
\(596\) | 2.66184 | + | 18.1548i | 0.109033 | + | 0.743651i | ||||
\(597\) | −0.183767 | − | 0.685829i | −0.00752109 | − | 0.0280691i | ||||
\(598\) | −8.05198 | + | 42.0926i | −0.329270 | + | 1.72130i | ||||
\(599\) | 5.32677 | − | 3.07541i | 0.217646 | − | 0.125658i | −0.387214 | − | 0.921990i | \(-0.626563\pi\) |
0.604860 | + | 0.796332i | \(0.293229\pi\) | |||||||
\(600\) | 0.264809 | − | 0.743968i | 0.0108108 | − | 0.0303724i | ||||
\(601\) | − | 36.1250i | − | 1.47357i | −0.676128 | − | 0.736785i | \(-0.736343\pi\) | ||
0.676128 | − | 0.736785i | \(-0.263657\pi\) | |||||||
\(602\) | −35.0606 | + | 6.37337i | −1.42896 | + | 0.259759i | ||||
\(603\) | −15.4192 | − | 15.4192i | −0.627918 | − | 0.627918i | ||||
\(604\) | −34.7507 | − | 13.8000i | −1.41398 | − | 0.561515i | ||||
\(605\) | 5.94811 | − | 3.29000i | 0.241825 | − | 0.133757i | ||||
\(606\) | 0.300073 | − | 0.203705i | 0.0121896 | − | 0.00827493i | ||||
\(607\) | −0.139055 | − | 0.518960i | −0.00564407 | − | 0.0210639i | 0.963046 | − | 0.269336i | \(-0.0868041\pi\) |
−0.968690 | + | 0.248272i | \(0.920137\pi\) | |||||||
\(608\) | 9.08826 | + | 4.07432i | 0.368578 | + | 0.165235i | ||||
\(609\) | −0.227526 | − | 0.588662i | −0.00921981 | − | 0.0238538i | ||||
\(610\) | −12.9503 | − | 11.6121i | −0.524341 | − | 0.470162i | ||||
\(611\) | −41.9856 | − | 24.2404i | −1.69855 | − | 0.980661i | ||||
\(612\) | 32.2398 | + | 3.76379i | 1.30322 | + | 0.152142i | ||||
\(613\) | −8.67594 | + | 32.3791i | −0.350418 | + | 1.30778i | 0.535736 | + | 0.844386i | \(0.320034\pi\) |
−0.886154 | + | 0.463392i | \(0.846632\pi\) | |||||||
\(614\) | 20.4243 | − | 42.1945i | 0.824258 | − | 1.70283i | ||||
\(615\) | 0.368953 | − | 0.355643i | 0.0148776 | − | 0.0143409i | ||||
\(616\) | −15.5350 | − | 23.3431i | −0.625921 | − | 0.940518i | ||||
\(617\) | 28.3112 | + | 28.3112i | 1.13977 | + | 1.13977i | 0.988492 | + | 0.151274i | \(0.0483376\pi\) |
0.151274 | + | 0.988492i | \(0.451662\pi\) | |||||||
\(618\) | −0.349125 | − | 1.00421i | −0.0140438 | − | 0.0403951i | ||||
\(619\) | −8.65792 | + | 4.99865i | −0.347991 | + | 0.200913i | −0.663800 | − | 0.747910i | \(-0.731057\pi\) |
0.315809 | + | 0.948823i | \(0.397724\pi\) | |||||||
\(620\) | 20.6698 | − | 15.7399i | 0.830119 | − | 0.632128i | ||||
\(621\) | 0.833846 | − | 1.44426i | 0.0334611 | − | 0.0579563i | ||||
\(622\) | −3.02714 | − | 2.61567i | −0.121377 | − | 0.104879i | ||||
\(623\) | 7.45324 | − | 0.800760i | 0.298608 | − | 0.0320818i | ||||
\(624\) | 0.390151 | + | 1.30189i | 0.0156185 | + | 0.0521173i | ||||
\(625\) | −14.0554 | + | 20.6748i | −0.562215 | + | 0.826991i | ||||
\(626\) | −10.8658 | − | 16.0062i | −0.434285 | − | 0.639736i | ||||
\(627\) | 0.355829 | + | 0.0953440i | 0.0142104 | + | 0.00380767i | ||||
\(628\) | 12.3340 | + | 28.5826i | 0.492179 | + | 1.14057i | ||||
\(629\) | 32.9243i | 1.31278i | ||||||||
\(630\) | 24.9476 | + | 2.51185i | 0.993935 | + | 0.100075i | ||||
\(631\) | −30.4069 | −1.21048 | −0.605239 | − | 0.796043i | \(-0.706923\pi\) | ||||
−0.605239 | + | 0.796043i | \(0.706923\pi\) | |||||||
\(632\) | −9.32164 | − | 17.8977i | −0.370795 | − | 0.711932i | ||||
\(633\) | 0.158139 | − | 0.590181i | 0.00628544 | − | 0.0234576i | ||||
\(634\) | −2.63845 | + | 1.79111i | −0.104786 | + | 0.0711341i | ||||
\(635\) | 9.54746 | + | 38.4422i | 0.378879 | + | 1.52553i | ||||
\(636\) | 0.0410722 | + | 0.280129i | 0.00162862 | + | 0.0111078i | ||||
\(637\) | 19.5121 | + | 37.8616i | 0.773096 | + | 1.50013i | ||||
\(638\) | 17.1280 | + | 14.7998i | 0.678103 | + | 0.585930i | ||||
\(639\) | 11.7523 | + | 6.78517i | 0.464912 | + | 0.268417i | ||||
\(640\) | 24.6357 | − | 5.75192i | 0.973810 | − | 0.227365i | ||||
\(641\) | 5.10801 | + | 8.84733i | 0.201754 | + | 0.349449i | 0.949094 | − | 0.314994i | \(-0.102002\pi\) |
−0.747339 | + | 0.664442i | \(0.768669\pi\) | |||||||
\(642\) | −0.438932 | + | 0.152600i | −0.0173233 | + | 0.00602264i | ||||
\(643\) | 20.1145 | − | 20.1145i | 0.793240 | − | 0.793240i | −0.188780 | − | 0.982019i | \(-0.560453\pi\) |
0.982019 | + | 0.188780i | \(0.0604533\pi\) | |||||||
\(644\) | 0.242193 | − | 26.3517i | 0.00954376 | − | 1.03840i | ||||
\(645\) | 0.0218387 | − | 1.18897i | 0.000859898 | − | 0.0468155i | ||||
\(646\) | −5.87490 | + | 12.1369i | −0.231145 | + | 0.477521i | ||||
\(647\) | −32.9538 | − | 8.82994i | −1.29555 | − | 0.347141i | −0.455782 | − | 0.890091i | \(-0.650640\pi\) |
−0.839765 | + | 0.542951i | \(0.817307\pi\) | |||||||
\(648\) | −1.10168 | + | 25.3526i | −0.0432780 | + | 0.995943i | ||||
\(649\) | 3.51085 | − | 6.08097i | 0.137813 | − | 0.238699i | ||||
\(650\) | −1.55116 | − | 42.9982i | −0.0608413 | − | 1.68653i | ||||
\(651\) | −0.668244 | − | 0.538585i | −0.0261905 | − | 0.0211088i | ||||
\(652\) | −1.13850 | + | 1.52971i | −0.0445870 | + | 0.0599079i | ||||
\(653\) | 1.97476 | − | 0.529135i | 0.0772783 | − | 0.0207067i | −0.219973 | − | 0.975506i | \(-0.570597\pi\) |
0.297251 | + | 0.954799i | \(0.403930\pi\) | |||||||
\(654\) | −0.705614 | + | 0.479006i | −0.0275917 | + | 0.0187306i | ||||
\(655\) | −31.8105 | + | 17.5949i | −1.24294 | + | 0.687490i | ||||
\(656\) | 15.9753 | + | 3.78157i | 0.623729 | + | 0.147645i | ||||
\(657\) | −10.3656 | + | 10.3656i | −0.404399 | + | 0.404399i | ||||
\(658\) | 28.0673 | + | 10.0480i | 1.09418 | + | 0.391712i | ||||
\(659\) | −15.3342 | −0.597337 | −0.298668 | − | 0.954357i | \(-0.596542\pi\) | ||||
−0.298668 | + | 0.954357i | \(0.596542\pi\) | |||||||
\(660\) | 0.865792 | − | 0.354892i | 0.0337009 | − | 0.0138141i | ||||
\(661\) | 7.65234 | + | 13.2542i | 0.297641 | + | 0.515530i | 0.975596 | − | 0.219574i | \(-0.0704667\pi\) |
−0.677954 | + | 0.735104i | \(0.737133\pi\) | |||||||
\(662\) | −0.533401 | + | 2.78841i | −0.0207312 | + | 0.108375i | ||||
\(663\) | −1.77732 | + | 0.476231i | −0.0690253 | + | 0.0184953i | ||||
\(664\) | −12.0273 | + | 2.66900i | −0.466751 | + | 0.103577i | ||||
\(665\) | −4.38888 | + | 9.44637i | −0.170194 | + | 0.366314i | ||||
\(666\) | −25.6991 | + | 1.87397i | −0.995820 | + | 0.0726149i | ||||
\(667\) | 5.50621 | + | 20.5495i | 0.213201 | + | 0.795678i | ||||
\(668\) | −2.00493 | + | 17.1737i | −0.0775729 | + | 0.664471i | ||||
\(669\) | −0.0981159 | − | 0.169942i | −0.00379338 | − | 0.00657033i | ||||
\(670\) | 10.4037 | − | 20.5231i | 0.401931 | − | 0.792877i | ||||
\(671\) | − | 20.6102i | − | 0.795646i | ||||||
\(672\) | −0.379222 | − | 0.744739i | −0.0146288 | − | 0.0287289i | ||||
\(673\) | −5.40219 | + | 5.40219i | −0.208239 | + | 0.208239i | −0.803519 | − | 0.595280i | \(-0.797041\pi\) |
0.595280 | + | 0.803519i | \(0.297041\pi\) | |||||||
\(674\) | −9.28030 | + | 19.1721i | −0.357464 | + | 0.738482i | ||||
\(675\) | −0.492444 | + | 1.60026i | −0.0189542 | + | 0.0615941i | ||||
\(676\) | 29.8074 | + | 37.6870i | 1.14644 | + | 1.44950i | ||||
\(677\) | −7.50113 | + | 2.00992i | −0.288292 | + | 0.0772476i | −0.400067 | − | 0.916486i | \(-0.631013\pi\) |
0.111775 | + | 0.993734i | \(0.464346\pi\) | |||||||
\(678\) | 0.112143 | + | 0.0968999i | 0.00430683 | + | 0.00372142i | ||||
\(679\) | 28.4640 | + | 4.44095i | 1.09235 | + | 0.170428i | ||||
\(680\) | 6.80467 | + | 33.5673i | 0.260947 | + | 1.28725i | ||||
\(681\) | −0.444721 | + | 0.770279i | −0.0170417 | + | 0.0295172i | ||||
\(682\) | 30.2360 | + | 5.78390i | 1.15780 | + | 0.221477i | ||||
\(683\) | 1.48758 | − | 5.55174i | 0.0569208 | − | 0.212431i | −0.931608 | − | 0.363465i | \(-0.881594\pi\) |
0.988529 | + | 0.151034i | \(0.0482603\pi\) | |||||||
\(684\) | −9.80787 | − | 3.89486i | −0.375013 | − | 0.148924i | ||||
\(685\) | 28.5124 | − | 27.4839i | 1.08940 | − | 1.05011i | ||||
\(686\) | −15.9688 | − | 20.7605i | −0.609692 | − | 0.792639i | ||||
\(687\) | −0.865688 | − | 0.865688i | −0.0330280 | − | 0.0330280i | ||||
\(688\) | 32.4183 | − | 20.0082i | 1.23594 | − | 0.762807i | ||||
\(689\) | 7.71297 | + | 13.3593i | 0.293841 | + | 0.508947i | ||||
\(690\) | 0.860566 | + | 0.181062i | 0.0327612 | + | 0.00689292i | ||||
\(691\) | 14.5306 | − | 25.1677i | 0.552769 | − | 0.957425i | −0.445304 | − | 0.895379i | \(-0.646904\pi\) |
0.998073 | − | 0.0620452i | \(-0.0197623\pi\) | |||||||
\(692\) | 19.9145 | + | 14.8216i | 0.757036 | + | 0.563431i | ||||
\(693\) | 17.5184 | + | 23.9954i | 0.665470 | + | 0.911510i | ||||
\(694\) | −1.14039 | − | 15.6390i | −0.0432887 | − | 0.593649i | ||||
\(695\) | 4.10852 | − | 6.82361i | 0.155845 | − | 0.258834i | ||||
\(696\) | 0.455908 | + | 0.497330i | 0.0172811 | + | 0.0188513i | ||||
\(697\) | −5.75248 | + | 21.4685i | −0.217891 | + | 0.813179i | ||||
\(698\) | −15.4498 | + | 5.37129i | −0.584782 | + | 0.203306i | ||||
\(699\) | − | 1.15834i | − | 0.0438125i | ||||||
\(700\) | 5.66732 | + | 25.8434i | 0.214204 | + | 0.976789i | ||||
\(701\) | − | 48.3092i | − | 1.82461i | −0.409506 | − | 0.912307i | \(-0.634299\pi\) | ||
0.409506 | − | 0.912307i | \(-0.365701\pi\) | |||||||
\(702\) | −0.946258 | − | 2.72178i | −0.0357142 | − | 0.102727i | ||||
\(703\) | 2.77048 | − | 10.3396i | 0.104491 | − | 0.389964i | ||||
\(704\) | 24.5619 | + | 17.1833i | 0.925710 | + | 0.647620i | ||||
\(705\) | −0.513154 | + | 0.852269i | −0.0193265 | + | 0.0320983i | ||||
\(706\) | −1.27828 | + | 0.0932117i | −0.0481087 | + | 0.00350807i | ||||
\(707\) | −4.91672 | + | 11.1121i | −0.184912 | + | 0.417912i | ||||
\(708\) | 0.124952 | − | 0.167888i | 0.00469597 | − | 0.00630960i | ||||
\(709\) | 13.6833 | − | 23.7002i | 0.513887 | − | 0.890078i | −0.485983 | − | 0.873968i | \(-0.661538\pi\) |
0.999870 | − | 0.0161103i | \(-0.00512830\pi\) | |||||||
\(710\) | −2.94821 | + | 14.0125i | −0.110645 | + | 0.525880i | ||||
\(711\) | 10.6908 | + | 18.5170i | 0.400936 | + | 0.694441i | ||||
\(712\) | −7.10748 | + | 3.70178i | −0.266364 | + | 0.138730i | ||||
\(713\) | 20.4581 | + | 20.4581i | 0.766160 | + | 0.766160i | ||||
\(714\) | 1.02291 | − | 0.483587i | 0.0382813 | − | 0.0180978i | ||||
\(715\) | 36.7054 | − | 35.3813i | 1.37270 | − | 1.32319i | ||||
\(716\) | −9.96786 | − | 3.95839i | −0.372516 | − | 0.147932i | ||||
\(717\) | 0.293869 | − | 1.09673i | 0.0109747 | − | 0.0409583i | ||||
\(718\) | −5.43172 | + | 28.3949i | −0.202710 | + | 1.05969i | ||||
\(719\) | −14.0998 | + | 24.4216i | −0.525835 | + | 0.910773i | 0.473712 | + | 0.880680i | \(0.342914\pi\) |
−0.999547 | + | 0.0300935i | \(0.990420\pi\) | |||||||
\(720\) | −25.8137 | + | 7.22196i | −0.962020 | + | 0.269147i | ||||
\(721\) | 27.7335 | + | 22.3524i | 1.03285 | + | 0.832446i | ||||
\(722\) | −14.7016 | + | 17.0144i | −0.547139 | + | 0.633209i | ||||
\(723\) | 0.0588058 | − | 0.0157570i | 0.00218701 | − | 0.000586008i | ||||
\(724\) | 10.9149 | − | 8.63283i | 0.405649 | − | 0.320837i | ||||
\(725\) | −9.99296 | − | 18.8771i | −0.371129 | − | 0.701076i | ||||
\(726\) | 0.216073 | + | 0.104591i | 0.00801923 | + | 0.00388172i | ||||
\(727\) | −30.4917 | + | 30.4917i | −1.13088 | + | 1.13088i | −0.140844 | + | 0.990032i | \(0.544982\pi\) |
−0.990032 | + | 0.140844i | \(0.955018\pi\) | |||||||
\(728\) | −34.1791 | − | 30.0863i | −1.26676 | − | 1.11507i | ||||
\(729\) | − | 26.8318i | − | 0.993769i | ||||||
\(730\) | −13.7967 | − | 6.99391i | −0.510639 | − | 0.258856i | ||||
\(731\) | 25.7880 | + | 44.6661i | 0.953802 | + | 1.65203i | ||||
\(732\) | 0.0712306 | − | 0.610144i | 0.00263276 | − | 0.0225516i | ||||
\(733\) | −1.97903 | − | 7.38583i | −0.0730970 | − | 0.272802i | 0.919698 | − | 0.392626i | \(-0.128433\pi\) |
−0.992795 | + | 0.119825i | \(0.961767\pi\) | |||||||
\(734\) | 0.913644 | + | 12.5295i | 0.0337232 | + | 0.462471i | ||||
\(735\) | 0.784147 | − | 0.386055i | 0.0289237 | − | 0.0142398i | ||||
\(736\) | 10.0286 | + | 26.3270i | 0.369658 | + | 0.970424i | ||||
\(737\) | 26.3349 | − | 7.05642i | 0.970059 | − | 0.259927i | ||||
\(738\) | −17.0847 | − | 3.26817i | −0.628897 | − | 0.120303i | ||||
\(739\) | −21.3026 | − | 36.8973i | −0.783630 | − | 1.35729i | −0.929814 | − | 0.368030i | \(-0.880032\pi\) |
0.146184 | − | 0.989257i | \(-0.453301\pi\) | |||||||
\(740\) | −10.3123 | − | 25.1579i | −0.379089 | − | 0.924823i | ||||
\(741\) | 0.598222 | 0.0219762 | ||||||||
\(742\) | −6.13559 | − | 7.23412i | −0.225245 | − | 0.265573i | ||||
\(743\) | −3.01521 | + | 3.01521i | −0.110617 | + | 0.110617i | −0.760249 | − | 0.649632i | \(-0.774923\pi\) |
0.649632 | + | 0.760249i | \(0.274923\pi\) | |||||||
\(744\) | 0.875118 | + | 0.275725i | 0.0320834 | + | 0.0101086i | ||||
\(745\) | 17.9517 | − | 9.92936i | 0.657698 | − | 0.363784i | ||||
\(746\) | 4.27121 | + | 6.29183i | 0.156380 | + | 0.230360i | ||||
\(747\) | 12.6089 | − | 3.37854i | 0.461334 | − | 0.123614i | ||||
\(748\) | −24.2300 | + | 32.5558i | −0.885935 | + | 1.19036i | ||||
\(749\) | 9.77008 | − | 12.1221i | 0.356991 | − | 0.442933i | ||||
\(750\) | −0.882763 | + | 0.0156208i | −0.0322340 | + | 0.000570393i | ||||
\(751\) | 15.5317 | − | 26.9016i | 0.566758 | − | 0.981654i | −0.430126 | − | 0.902769i | \(-0.641531\pi\) |
0.996884 | − | 0.0788849i | \(-0.0251360\pi\) | |||||||
\(752\) | −31.8563 | + | 0.935693i | −1.16168 | + | 0.0341212i | ||||
\(753\) | 0.0801980 | + | 0.0214890i | 0.00292258 | + | 0.000783103i | ||||
\(754\) | 33.0872 | + | 16.0159i | 1.20496 | + | 0.583265i | ||||
\(755\) | −0.767716 | + | 41.7968i | −0.0279401 | + | 1.52114i | ||||
\(756\) | 0.871825 | + | 1.54261i | 0.0317080 | + | 0.0561044i | ||||
\(757\) | 15.6958 | − | 15.6958i | 0.570474 | − | 0.570474i | −0.361787 | − | 0.932261i | \(-0.617833\pi\) |
0.932261 | + | 0.361787i | \(0.117833\pi\) | |||||||
\(758\) | −14.3806 | − | 41.3638i | −0.522327 | − | 1.50240i | ||||
\(759\) | 0.521005 | + | 0.902407i | 0.0189113 | + | 0.0327553i | ||||
\(760\) | 0.687644 | − | 11.1141i | 0.0249435 | − | 0.403150i | ||||
\(761\) | −25.0148 | − | 14.4423i | −0.906787 | − | 0.523534i | −0.0273912 | − | 0.999625i | \(-0.508720\pi\) |
−0.879396 | + | 0.476091i | \(0.842053\pi\) | |||||||
\(762\) | −0.914594 | + | 1.05847i | −0.0331322 | + | 0.0383443i | ||||
\(763\) | 11.5615 | − | 26.1297i | 0.418555 | − | 0.945959i | ||||
\(764\) | −0.897188 | − | 6.11918i | −0.0324591 | − | 0.221384i | ||||
\(765\) | −8.74720 | − | 35.2200i | −0.316256 | − | 1.27338i | ||||
\(766\) | −22.2838 | − | 32.8258i | −0.805146 | − | 1.18605i | ||||
\(767\) | 2.95124 | − | 11.0142i | 0.106563 | − | 0.397698i | ||||
\(768\) | 0.667744 | + | 0.593584i | 0.0240951 | + | 0.0214191i | ||||
\(769\) | −20.9392 | −0.755086 | −0.377543 | − | 0.925992i | \(-0.623231\pi\) | ||||
−0.377543 | + | 0.925992i | \(0.623231\pi\) | |||||||
\(770\) | −18.3157 | + | 25.4426i | −0.660052 | + | 0.916888i | ||||
\(771\) | 1.11914i | 0.0403050i | ||||||||
\(772\) | 16.5326 | − | 7.13416i | 0.595021 | − | 0.256764i | ||||
\(773\) | 17.3465 | + | 4.64799i | 0.623911 | + | 0.167176i | 0.556905 | − | 0.830576i | \(-0.311989\pi\) |
0.0670058 | + | 0.997753i | \(0.478655\pi\) | |||||||
\(774\) | −33.3963 | + | 22.6711i | −1.20041 | + | 0.814896i | ||||
\(775\) | −24.6051 | − | 15.4375i | −0.883843 | − | 0.554532i | ||||
\(776\) | −30.0660 | + | 6.67199i | −1.07931 | + | 0.239510i | ||||
\(777\) | −0.725444 | + | 0.529628i | −0.0260252 | + | 0.0190003i | ||||
\(778\) | 15.9598 | − | 18.4704i | 0.572187 | − | 0.662198i | ||||
\(779\) | 3.61302 | − | 6.25793i | 0.129450 | − | 0.224214i | ||||
\(780\) | 1.20891 | − | 0.920574i | 0.0432859 | − | 0.0329618i | ||||
\(781\) | −14.6938 | + | 8.48346i | −0.525785 | + | 0.303562i | ||||
\(782\) | −36.0261 | + | 12.5249i | −1.28829 | + | 0.447890i | ||||
\(783\) | −1.01149 | − | 1.01149i | −0.0361477 | − | 0.0361477i | ||||
\(784\) | 23.9873 | + | 14.4433i | 0.856689 | + | 0.515833i | ||||
\(785\) | 25.0584 | − | 24.1545i | 0.894373 | − | 0.862110i | ||||
\(786\) | −1.15556 | − | 0.559351i | −0.0412174 | − | 0.0199514i | ||||
\(787\) | −10.5598 | + | 39.4099i | −0.376418 | + | 1.40481i | 0.474844 | + | 0.880070i | \(0.342504\pi\) |
−0.851262 | + | 0.524741i | \(0.824162\pi\) | |||||||
\(788\) | 3.56553 | − | 30.5415i | 0.127017 | − | 1.08800i | ||||
\(789\) | 0.446395 | + | 0.257726i | 0.0158921 | + | 0.00917529i | ||||
\(790\) | −15.0620 | + | 16.7977i | −0.535882 | + | 0.597635i | ||||
\(791\) | −4.90616 | − | 0.765459i | −0.174443 | − | 0.0272166i | ||||
\(792\) | −26.7906 | − | 17.0597i | −0.951963 | − | 0.606191i | ||||
\(793\) | −8.66250 | − | 32.3289i | −0.307614 | − | 1.14803i | ||||
\(794\) | −7.04098 | − | 10.3719i | −0.249875 | − | 0.368086i | ||||
\(795\) | 0.276994 | − | 0.153210i | 0.00982396 | − | 0.00543380i | ||||
\(796\) | −23.6353 | − | 9.38595i | −0.837732 | − | 0.332676i | ||||
\(797\) | 9.36069 | + | 9.36069i | 0.331573 | + | 0.331573i | 0.853184 | − | 0.521611i | \(-0.174669\pi\) |
−0.521611 | + | 0.853184i | \(0.674669\pi\) | |||||||
\(798\) | −0.361926 | + | 0.0657915i | −0.0128120 | + | 0.00232899i | ||||
\(799\) | − | 43.1473i | − | 1.52644i | ||||||
\(800\) | −15.7133 | − | 23.5179i | −0.555548 | − | 0.831484i | ||||
\(801\) | 7.35341 | − | 4.24549i | 0.259820 | − | 0.150007i | ||||
\(802\) | −10.2347 | − | 1.95781i | −0.361400 | − | 0.0691328i | ||||
\(803\) | −4.74369 | − | 17.7037i | −0.167401 | − | 0.624749i | ||||
\(804\) | 0.804008 | − | 0.117883i | 0.0283552 | − | 0.00415740i | ||||
\(805\) | −27.6724 | + | 10.1157i | −0.975324 | + | 0.356530i | ||||
\(806\) | 49.8588 | − | 3.63569i | 1.75620 | − | 0.128062i | ||||
\(807\) | 0.370801 | − | 0.0993559i | 0.0130528 | − | 0.00349749i | ||||
\(808\) | 0.563947 | − | 12.9779i | 0.0198396 | − | 0.456563i | ||||
\(809\) | 14.0077 | − | 8.08736i | 0.492485 | − | 0.284337i | −0.233120 | − | 0.972448i | \(-0.574893\pi\) |
0.725605 | + | 0.688112i | \(0.241560\pi\) | |||||||
\(810\) | 26.9650 | − | 8.82307i | 0.947454 | − | 0.310011i | ||||
\(811\) | −34.0262 | −1.19482 | −0.597410 | − | 0.801936i | \(-0.703804\pi\) | ||||
−0.597410 | + | 0.801936i | \(0.703804\pi\) | |||||||
\(812\) | −21.7792 | − | 6.05079i | −0.764301 | − | 0.212341i | ||||
\(813\) | −0.482721 | − | 0.482721i | −0.0169298 | − | 0.0169298i | ||||
\(814\) | 14.0366 | − | 28.9981i | 0.491983 | − | 1.01638i | ||||
\(815\) | 2.04883 | + | 0.589515i | 0.0717672 | + | 0.0206498i | ||||
\(816\) | −0.829821 | + | 0.880044i | −0.0290496 | + | 0.0308077i | ||||
\(817\) | −4.33995 | − | 16.1969i | −0.151836 | − | 0.566658i | ||||
\(818\) | 10.1789 | − | 11.7801i | 0.355896 | − | 0.411882i | ||||
\(819\) | 37.5645 | + | 30.2759i | 1.31261 | + | 1.05793i | ||||
\(820\) | −2.32869 | − | 18.2061i | −0.0813213 | − | 0.635786i | ||||
\(821\) | 23.4637 | + | 13.5468i | 0.818888 | + | 0.472785i | 0.850033 | − | 0.526730i | \(-0.176582\pi\) |
−0.0311451 | + | 0.999515i | \(0.509915\pi\) | |||||||
\(822\) | 1.37368 | + | 0.262774i | 0.0479127 | + | 0.00916530i | ||||
\(823\) | 15.4798 | + | 4.14781i | 0.539593 | + | 0.144584i | 0.518315 | − | 0.855190i | \(-0.326560\pi\) |
0.0212785 | + | 0.999774i | \(0.493226\pi\) | |||||||
\(824\) | −36.3192 | − | 11.4432i | −1.26524 | − | 0.398641i | ||||
\(825\) | −0.712075 | − | 0.766406i | −0.0247913 | − | 0.0266828i | ||||
\(826\) | −0.574187 | + | 6.98817i | −0.0199785 | + | 0.243150i | ||||
\(827\) | 16.7745 | − | 16.7745i | 0.583307 | − | 0.583307i | −0.352503 | − | 0.935811i | \(-0.614670\pi\) |
0.935811 | + | 0.352503i | \(0.114670\pi\) | |||||||
\(828\) | −11.8268 | − | 27.4073i | −0.411011 | − | 0.952470i | ||||
\(829\) | −43.0035 | + | 24.8281i | −1.49357 | + | 0.862315i | −0.999973 | − | 0.00737354i | \(-0.997653\pi\) |
−0.493601 | + | 0.869689i | \(0.664320\pi\) | |||||||
\(830\) | 7.52575 | + | 11.5364i | 0.261222 | + | 0.400434i | ||||
\(831\) | 0.307481 | + | 0.177524i | 0.0106664 | + | 0.00615825i | ||||
\(832\) | 45.7497 | + | 16.6302i | 1.58609 | + | 0.576547i | ||||
\(833\) | −20.4992 | + | 31.8872i | −0.710255 | + | 1.10483i | ||||
\(834\) | 0.280548 | − | 0.0204575i | 0.00971460 | − | 0.000708385i | ||||
\(835\) | 18.7612 | − | 4.65953i | 0.649260 | − | 0.161250i | ||||
\(836\) | 10.3487 | − | 8.18497i | 0.357916 | − | 0.283083i | ||||
\(837\) | −1.87907 | − | 0.503495i | −0.0649502 | − | 0.0174033i | ||||
\(838\) | −17.9018 | + | 6.22376i | −0.618406 | + | 0.214996i | ||||
\(839\) | −29.4322 | −1.01611 | −0.508056 | − | 0.861324i | \(-0.669636\pi\) | ||||
−0.508056 | + | 0.861324i | \(0.669636\pi\) | |||||||
\(840\) | −0.630151 | + | 0.689904i | −0.0217423 | + | 0.0238039i | ||||
\(841\) | −10.7519 | −0.370755 | ||||||||
\(842\) | 23.7385 | − | 8.25295i | 0.818081 | − | 0.284416i | ||||
\(843\) | 1.29440 | + | 0.346834i | 0.0445816 | + | 0.0119456i | ||||
\(844\) | −13.5757 | − | 17.1644i | −0.467294 | − | 0.590823i | ||||
\(845\) | 27.7106 | − | 46.0230i | 0.953273 | − | 1.58324i | ||||
\(846\) | 33.6787 | − | 2.45584i | 1.15790 | − | 0.0844335i | ||||
\(847\) | −7.99672 | + | 0.859150i | −0.274771 | + | 0.0295207i | ||||
\(848\) | 8.92711 | + | 4.81028i | 0.306558 | + | 0.165186i | ||||
\(849\) | 1.02050 | + | 0.589186i | 0.0350235 | + | 0.0202208i | ||||
\(850\) | 32.4507 | − | 20.3295i | 1.11305 | − | 0.697296i | ||||
\(851\) | 26.2219 | − | 15.1392i | 0.898874 | − | 0.518965i | ||||
\(852\) | −0.464315 | + | 0.200362i | −0.0159072 | + | 0.00686428i | ||||
\(853\) | 20.5357 | − | 20.5357i | 0.703129 | − | 0.703129i | −0.261952 | − | 0.965081i | \(-0.584366\pi\) |
0.965081 | + | 0.261952i | \(0.0843663\pi\) | |||||||
\(854\) | 8.79631 | + | 18.6064i | 0.301004 | + | 0.636697i | ||||
\(855\) | −0.216677 | + | 11.7965i | −0.00741019 | + | 0.403433i | ||||
\(856\) | −5.00173 | + | 15.8749i | −0.170956 | + | 0.542592i | ||||
\(857\) | −51.9914 | − | 13.9310i | −1.77599 | − | 0.475875i | −0.786148 | − | 0.618038i | \(-0.787928\pi\) |
−0.989843 | + | 0.142163i | \(0.954594\pi\) | |||||||
\(858\) | 1.76841 | + | 0.338282i | 0.0603724 | + | 0.0115487i | ||||
\(859\) | −35.2576 | − | 20.3560i | −1.20297 | − | 0.694537i | −0.241759 | − | 0.970336i | \(-0.577724\pi\) |
−0.961215 | + | 0.275799i | \(0.911058\pi\) | |||||||
\(860\) | −33.6949 | − | 26.0528i | −1.14899 | − | 0.888393i | ||||
\(861\) | −0.565567 | + | 0.218599i | −0.0192745 | + | 0.00744985i | ||||
\(862\) | −28.0327 | + | 32.4426i | −0.954799 | + | 1.10500i | ||||
\(863\) | 4.36934 | + | 16.3066i | 0.148734 | + | 0.555083i | 0.999561 | + | 0.0296367i | \(0.00943505\pi\) |
−0.850827 | + | 0.525447i | \(0.823898\pi\) | |||||||
\(864\) | −1.46906 | − | 1.19588i | −0.0499786 | − | 0.0406846i | ||||
\(865\) | 7.67462 | − | 26.6727i | 0.260945 | − | 0.906899i | ||||
\(866\) | −12.2238 | + | 25.2531i | −0.415382 | + | 0.858136i | ||||
\(867\) | −0.486716 | − | 0.486716i | −0.0165297 | − | 0.0165297i | ||||
\(868\) | −29.7649 | + | 7.68299i | −1.01029 | + | 0.260778i | ||||
\(869\) | −26.7332 | −0.906863 | ||||||||
\(870\) | 0.341062 | − | 0.672803i | 0.0115631 | − | 0.0228101i | ||||
\(871\) | 38.3429 | − | 22.1373i | 1.29920 | − | 0.750092i | ||||
\(872\) | −1.32611 | + | 30.5173i | −0.0449076 | + | 1.03345i | ||||
\(873\) | 31.5198 | − | 8.44569i | 1.06678 | − | 0.285843i | ||||
\(874\) | 12.3676 | − | 0.901839i | 0.418339 | − | 0.0305052i | ||||
\(875\) | 24.8151 | − | 16.1000i | 0.838905 | − | 0.544278i | ||||
\(876\) | −0.0792469 | − | 0.540495i | −0.00267750 | − | 0.0182616i | ||||
\(877\) | 12.8664 | + | 48.0179i | 0.434466 | + | 1.62145i | 0.742341 | + | 0.670023i | \(0.233716\pi\) |
−0.307874 | + | 0.951427i | \(0.599618\pi\) | |||||||
\(878\) | −4.58809 | − | 0.877664i | −0.154840 | − | 0.0296197i | ||||
\(879\) | −0.694459 | + | 0.400946i | −0.0234235 | + | 0.0135236i | ||||
\(880\) | 8.31752 | − | 32.4655i | 0.280383 | − | 1.09441i | ||||
\(881\) | − | 33.1692i | − | 1.11750i | −0.829337 | − | 0.558749i | \(-0.811281\pi\) | ||
0.829337 | − | 0.558749i | \(-0.188719\pi\) | |||||||
\(882\) | −26.0563 | − | 14.1857i | −0.877363 | − | 0.477658i | ||||
\(883\) | 18.3349 | + | 18.3349i | 0.617017 | + | 0.617017i | 0.944765 | − | 0.327748i | \(-0.106290\pi\) |
−0.327748 | + | 0.944765i | \(0.606290\pi\) | |||||||
\(884\) | −24.3236 | + | 61.2507i | −0.818091 | + | 2.06008i | ||||
\(885\) | −0.224862 | − | 0.0647002i | −0.00755865 | − | 0.00217487i | ||||
\(886\) | −9.90661 | − | 14.5932i | −0.332819 | − | 0.490269i | ||||
\(887\) | −1.61966 | − | 6.04466i | −0.0543829 | − | 0.202960i | 0.933389 | − | 0.358867i | \(-0.116837\pi\) |
−0.987772 | + | 0.155907i | \(0.950170\pi\) | |||||||
\(888\) | 0.515761 | − | 0.809951i | 0.0173078 | − | 0.0271802i | ||||
\(889\) | 7.22482 | − | 46.3070i | 0.242313 | − | 1.55309i | ||||
\(890\) | 6.67064 | + | 5.98138i | 0.223600 | + | 0.200496i | ||||
\(891\) | 29.1138 | + | 16.8089i | 0.975349 | + | 0.563118i | ||||
\(892\) | −6.98100 | − | 0.814989i | −0.233741 | − | 0.0272878i | ||||
\(893\) | −3.63071 | + | 13.5500i | −0.121497 | + | 0.453433i | ||||
\(894\) | 0.652119 | + | 0.315659i | 0.0218101 | + | 0.0105572i | ||||
\(895\) | −0.220211 | + | 11.9890i | −0.00736085 | + | 0.400747i | ||||
\(896\) | −29.5076 | − | 5.02981i | −0.985781 | − | 0.168034i | ||||
\(897\) | 1.19653 | + | 1.19653i | 0.0399509 | + | 0.0399509i | ||||
\(898\) | 4.54675 | − | 1.58073i | 0.151727 | − | 0.0527496i | ||||
\(899\) | 21.4917 | − | 12.4082i | 0.716789 | − | 0.413838i | ||||
\(900\) | 17.7152 | + | 24.1723i | 0.590507 | + | 0.805744i | ||||
\(901\) | −6.86446 | + | 11.8896i | −0.228688 | + | 0.396100i | ||||
\(902\) | 14.2192 | − | 16.4560i | 0.473447 | − | 0.547925i | ||||
\(903\) | −0.569327 | + | 1.28671i | −0.0189460 | + | 0.0428191i | ||||
\(904\) | 5.18229 | − | 1.15001i | 0.172360 | − | 0.0382487i | ||||
\(905\) | −13.3292 | − | 8.02554i | −0.443077 | − | 0.266778i | ||||
\(906\) | −1.22148 | + | 0.829204i | −0.0405811 | + | 0.0275485i | ||||
\(907\) | −41.6743 | − | 11.1666i | −1.38377 | − | 0.370781i | −0.511282 | − | 0.859413i | \(-0.670829\pi\) |
−0.872490 | + | 0.488632i | \(0.837496\pi\) | |||||||
\(908\) | 12.6219 | + | 29.2499i | 0.418874 | + | 0.970692i | ||||
\(909\) | 13.7639i | 0.456519i | ||||||||
\(910\) | −18.0362 | + | 47.6071i | −0.597895 | + | 1.57816i | ||||
\(911\) | 19.3429 | 0.640861 | 0.320430 | − | 0.947272i | \(-0.396173\pi\) | ||||
0.320430 | + | 0.947272i | \(0.396173\pi\) | |||||||
\(912\) | 0.334650 | − | 0.206542i | 0.0110814 | − | 0.00683930i | ||||
\(913\) | −4.22416 | + | 15.7648i | −0.139799 | + | 0.521738i | ||||
\(914\) | −0.288806 | − | 0.425434i | −0.00955284 | − | 0.0140721i | ||||
\(915\) | −0.666545 | + | 0.165543i | −0.0220353 | + | 0.00547267i | ||||
\(916\) | −43.3856 | + | 6.36115i | −1.43350 | + | 0.210178i | ||||
\(917\) | 42.7665 | − | 4.59473i | 1.41227 | − | 0.151731i | ||||
\(918\) | 1.67674 | − | 1.94051i | 0.0553406 | − | 0.0640463i | ||||
\(919\) | 0.611259 | + | 0.352911i | 0.0201636 | + | 0.0116414i | 0.510048 | − | 0.860146i | \(-0.329628\pi\) |
−0.489884 | + | 0.871787i | \(0.662961\pi\) | |||||||
\(920\) | 23.6051 | − | 20.8543i | 0.778236 | − | 0.687546i | ||||
\(921\) | −0.925474 | − | 1.60297i | −0.0304954 | − | 0.0528196i | ||||
\(922\) | 4.86349 | + | 13.9892i | 0.160171 | + | 0.460708i | ||||
\(923\) | −19.4829 | + | 19.4829i | −0.641287 | + | 0.641287i | ||||
\(924\) | −1.10709 | − | 0.0101751i | −0.0364207 | − | 0.000334736i | ||||
\(925\) | −22.2700 | + | 20.6913i | −0.732233 | + | 0.680324i | ||||
\(926\) | 50.9918 | + | 24.6827i | 1.67570 | + | 0.811124i | ||||
\(927\) | 38.9724 | + | 10.4426i | 1.28002 | + | 0.342981i | ||||
\(928\) | 24.0389 | − | 2.46426i | 0.789114 | − | 0.0808933i | ||||
\(929\) | −26.5494 | + | 45.9849i | −0.871058 | + | 1.50872i | −0.0101547 | + | 0.999948i | \(0.503232\pi\) |
−0.860903 | + | 0.508768i | \(0.830101\pi\) | |||||||
\(930\) | −0.0558031 | − | 1.02431i | −0.00182986 | − | 0.0335884i | ||||
\(931\) | 9.12077 | − | 8.28892i | 0.298921 | − | 0.271658i | ||||
\(932\) | −33.2821 | − | 24.7705i | −1.09019 | − | 0.811383i | ||||
\(933\) | −0.152582 | + | 0.0408842i | −0.00499530 | + | 0.00133849i | ||||
\(934\) | −13.3572 | − | 19.6762i | −0.437061 | − | 0.643826i | ||||
\(935\) | 43.6040 | + | 12.5463i | 1.42600 | + | 0.410308i | ||||
\(936\) | −49.1937 | − | 15.4996i | −1.60795 | − | 0.506619i | ||||
\(937\) | −23.7175 | + | 23.7175i | −0.774816 | + | 0.774816i | −0.978944 | − | 0.204128i | \(-0.934564\pi\) |
0.204128 | + | 0.978944i | \(0.434564\pi\) | |||||||
\(938\) | −20.7629 | + | 17.6100i | −0.677933 | + | 0.574986i | ||||
\(939\) | −0.763865 | −0.0249278 | ||||||||
\(940\) | 13.5143 | + | 32.9695i | 0.440789 | + | 1.07535i | ||||
\(941\) | 4.80702 | + | 8.32600i | 0.156704 | + | 0.271420i | 0.933678 | − | 0.358113i | \(-0.116580\pi\) |
−0.776974 | + | 0.629533i | \(0.783246\pi\) | |||||||
\(942\) | 1.20727 | + | 0.230941i | 0.0393351 | + | 0.00752448i | ||||
\(943\) | 19.7432 | − | 5.29019i | 0.642928 | − | 0.172272i | ||||
\(944\) | −2.15181 | − | 7.18035i | −0.0700354 | − | 0.233700i | ||||
\(945\) | 1.27129 | − | 1.51937i | 0.0413552 | − | 0.0494251i | ||||
\(946\) | −3.67033 | − | 50.3338i | −0.119333 | − | 1.63649i | ||||
\(947\) | −13.1658 | − | 49.1353i | −0.427830 | − | 1.59668i | −0.757664 | − | 0.652645i | \(-0.773659\pi\) |
0.329834 | − | 0.944039i | \(-0.393007\pi\) | |||||||
\(948\) | −0.791412 | − | 0.0923925i | −0.0257039 | − | 0.00300077i | ||||
\(949\) | −14.8818 | − | 25.7760i | −0.483084 | − | 0.836726i | ||||
\(950\) | −11.9015 | + | 3.65366i | −0.386135 | + | 0.118540i | ||||
\(951\) | 0.125915i | 0.00408307i | ||||||||
\(952\) | 7.97959 | − | 39.7319i | 0.258620 | − | 1.28772i | ||||
\(953\) | −2.04651 | + | 2.04651i | −0.0662929 | + | 0.0662929i | −0.739476 | − | 0.673183i | \(-0.764927\pi\) |
0.673183 | + | 0.739476i | \(0.264927\pi\) | |||||||
\(954\) | −9.67113 | − | 4.68133i | −0.313115 | − | 0.151564i | ||||
\(955\) | −6.05070 | + | 3.34674i | −0.195796 | + | 0.108298i | ||||
\(956\) | −25.2277 | − | 31.8966i | −0.815922 | − | 1.03161i | ||||
\(957\) | 0.863329 | − | 0.231328i | 0.0279075 | − | 0.00747778i | ||||
\(958\) | −26.0625 | + | 30.1624i | −0.842042 | + | 0.974504i | ||||
\(959\) | −43.7067 | + | 16.8932i | −1.41136 | + | 0.545511i | ||||
\(960\) | 0.358436 | − | 0.932364i | 0.0115685 | − | 0.0300919i | ||||
\(961\) | 1.37459 | − | 2.38086i | 0.0443415 | − | 0.0768018i | ||||
\(962\) | 9.82969 | − | 51.3858i | 0.316922 | − | 1.65675i | ||||
\(963\) | 4.56440 | − | 17.0346i | 0.147086 | − | 0.548931i | ||||
\(964\) | 0.804790 | − | 2.02659i | 0.0259205 | − | 0.0652721i | ||||
\(965\) | −13.9713 | − | 14.4942i | −0.449753 | − | 0.466584i | ||||
\(966\) | −0.855494 | − | 0.592310i | −0.0275251 | − | 0.0190573i | ||||
\(967\) | 36.6774 | + | 36.6774i | 1.17947 | + | 1.17947i | 0.979880 | + | 0.199586i | \(0.0639598\pi\) |
0.199586 | + | 0.979880i | \(0.436040\pi\) | |||||||
\(968\) | 7.62575 | − | 3.97171i | 0.245101 | − | 0.127656i | ||||
\(969\) | 0.266206 | + | 0.461082i | 0.00855176 | + | 0.0148121i | ||||
\(970\) | 18.8129 | + | 28.8388i | 0.604047 | + | 0.925958i | ||||
\(971\) | 25.3147 | − | 43.8464i | 0.812388 | − | 1.40710i | −0.0988004 | − | 0.995107i | \(-0.531501\pi\) |
0.911188 | − | 0.411990i | \(-0.135166\pi\) | |||||||
\(972\) | 2.41557 | + | 1.79781i | 0.0774794 | + | 0.0576647i | ||||
\(973\) | −7.61165 | + | 5.55707i | −0.244018 | + | 0.178151i | ||||
\(974\) | −32.2391 | + | 2.35087i | −1.03301 | + | 0.0753266i | ||||
\(975\) | −1.43908 | − | 0.902890i | −0.0460873 | − | 0.0289156i | ||||
\(976\) | −16.0077 | − | 15.0942i | −0.512395 | − | 0.483154i | ||||
\(977\) | 5.68087 | − | 21.2013i | 0.181747 | − | 0.678289i | −0.813556 | − | 0.581486i | \(-0.802472\pi\) |
0.995304 | − | 0.0968034i | \(-0.0308618\pi\) | |||||||
\(978\) | 0.0247246 | + | 0.0711168i | 0.000790605 | + | 0.00227406i | ||||
\(979\) | 10.6162i | 0.339296i | ||||||||
\(980\) | 5.67621 | − | 30.7860i | 0.181320 | − | 0.983424i | ||||
\(981\) | − | 32.3653i | − | 1.03335i | ||||||
\(982\) | −1.96994 | + | 0.684873i | −0.0628633 | + | 0.0218552i | ||||
\(983\) | −2.25599 | + | 8.41946i | −0.0719548 | + | 0.268539i | −0.992526 | − | 0.122037i | \(-0.961057\pi\) |
0.920571 | + | 0.390576i | \(0.127724\pi\) | |||||||
\(984\) | 0.477818 | − | 0.438021i | 0.0152323 | − | 0.0139636i | ||||
\(985\) | −33.3647 | + | 8.28643i | −1.06309 | + | 0.264028i | ||||
\(986\) | 2.37930 | + | 32.6290i | 0.0757723 | + | 1.03912i | ||||
\(987\) | 0.950695 | − | 0.694078i | 0.0302610 | − | 0.0220927i | ||||
\(988\) | 12.7926 | − | 17.1884i | 0.406988 | − | 0.546836i | ||||
\(989\) | 23.7155 | − | 41.0765i | 0.754110 | − | 1.30616i | ||||
\(990\) | −7.31121 | + | 34.7492i | −0.232365 | + | 1.10440i | ||||
\(991\) | 11.7143 | + | 20.2898i | 0.372117 | + | 0.644526i | 0.989891 | − | 0.141830i | \(-0.0452985\pi\) |
−0.617774 | + | 0.786356i | \(0.711965\pi\) | |||||||
\(992\) | 26.6361 | − | 19.2481i | 0.845698 | − | 0.611128i | ||||
\(993\) | 0.0792636 | + | 0.0792636i | 0.00251535 | + | 0.00251535i | ||||
\(994\) | 9.64451 | − | 13.9299i | 0.305905 | − | 0.441830i | ||||
\(995\) | −0.522154 | + | 28.4277i | −0.0165534 | + | 0.901218i | ||||
\(996\) | −0.179537 | + | 0.452103i | −0.00568884 | + | 0.0143254i | ||||
\(997\) | 7.36370 | − | 27.4817i | 0.233211 | − | 0.870354i | −0.745737 | − | 0.666241i | \(-0.767902\pi\) |
0.978947 | − | 0.204113i | \(-0.0654310\pi\) | |||||||
\(998\) | 43.1092 | + | 8.24644i | 1.36460 | + | 0.261036i | ||||
\(999\) | −1.01794 | + | 1.76313i | −0.0322062 | + | 0.0557829i |
(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 | 280.2.bv.e.117.16 | ✓ | 160 | |
5.3 | odd | 4 | inner | 280.2.bv.e.173.4 | yes | 160 | |
7.3 | odd | 6 | inner | 280.2.bv.e.157.37 | yes | 160 | |
8.5 | even | 2 | inner | 280.2.bv.e.117.23 | yes | 160 | |
35.3 | even | 12 | inner | 280.2.bv.e.213.23 | yes | 160 | |
40.13 | odd | 4 | inner | 280.2.bv.e.173.37 | yes | 160 | |
56.45 | odd | 6 | inner | 280.2.bv.e.157.4 | yes | 160 | |
280.213 | even | 12 | inner | 280.2.bv.e.213.16 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.e.117.16 | ✓ | 160 | 1.1 | even | 1 | trivial | |
280.2.bv.e.117.23 | yes | 160 | 8.5 | even | 2 | inner | |
280.2.bv.e.157.4 | yes | 160 | 56.45 | odd | 6 | inner | |
280.2.bv.e.157.37 | yes | 160 | 7.3 | odd | 6 | inner | |
280.2.bv.e.173.4 | yes | 160 | 5.3 | odd | 4 | inner | |
280.2.bv.e.173.37 | yes | 160 | 40.13 | odd | 4 | inner | |
280.2.bv.e.213.16 | yes | 160 | 280.213 | even | 12 | inner | |
280.2.bv.e.213.23 | yes | 160 | 35.3 | even | 12 | inner |