Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(40,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.40");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.m (of order \(13\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(180\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Character | \(\chi\) | \(=\) | 507.79 |
Dual form | 507.2.m.a.430.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{13}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.26213 | − | 1.18726i | −1.59957 | − | 0.839517i | −0.999208 | − | 0.0397860i | \(-0.987332\pi\) |
−0.600358 | − | 0.799731i | \(-0.704975\pi\) | |||||||
\(3\) | 0.970942 | + | 0.239316i | 0.560574 | + | 0.138169i | ||||
\(4\) | 2.57152 | + | 3.72549i | 1.28576 | + | 1.86274i | ||||
\(5\) | −1.11131 | − | 2.93028i | −0.496992 | − | 1.31046i | −0.915526 | − | 0.402259i | \(-0.868225\pi\) |
0.418534 | − | 0.908201i | \(-0.362544\pi\) | |||||||
\(6\) | −1.91227 | − | 1.69412i | −0.780679 | − | 0.691622i | ||||
\(7\) | 0.198155 | + | 1.63195i | 0.0748954 | + | 0.616819i | 0.981034 | + | 0.193837i | \(0.0620934\pi\) |
−0.906138 | + | 0.422982i | \(0.860983\pi\) | |||||||
\(8\) | −0.778110 | − | 6.40831i | −0.275103 | − | 2.26568i | ||||
\(9\) | 0.885456 | + | 0.464723i | 0.295152 | + | 0.154908i | ||||
\(10\) | −0.965071 | + | 7.94807i | −0.305182 | + | 2.51340i | ||||
\(11\) | −3.86299 | + | 2.02745i | −1.16473 | + | 0.611299i | −0.932432 | − | 0.361344i | \(-0.882318\pi\) |
−0.232301 | + | 0.972644i | \(0.574626\pi\) | |||||||
\(12\) | 1.60523 | + | 4.23264i | 0.463389 | + | 1.22186i | ||||
\(13\) | −3.29370 | − | 1.46681i | −0.913508 | − | 0.406821i | ||||
\(14\) | 1.48929 | − | 3.92694i | 0.398030 | − | 1.04952i | ||||
\(15\) | −0.377754 | − | 3.11108i | −0.0975356 | − | 0.803278i | ||||
\(16\) | −2.63767 | + | 6.95497i | −0.659418 | + | 1.73874i | ||||
\(17\) | 0.321061 | + | 2.64417i | 0.0778687 | + | 0.641306i | 0.978430 | + | 0.206578i | \(0.0662326\pi\) |
−0.900561 | + | 0.434729i | \(0.856844\pi\) | |||||||
\(18\) | −1.45127 | − | 2.10253i | −0.342068 | − | 0.495570i | ||||
\(19\) | 1.03053 | 0.236420 | 0.118210 | − | 0.992989i | \(-0.462284\pi\) | ||||
0.118210 | + | 0.992989i | \(0.462284\pi\) | |||||||
\(20\) | 8.05896 | − | 11.6754i | 1.80204 | − | 2.61070i | ||||
\(21\) | −0.198155 | + | 1.63195i | −0.0432409 | + | 0.356121i | ||||
\(22\) | 11.1457 | 2.37627 | ||||||||
\(23\) | −5.35152 | −1.11587 | −0.557934 | − | 0.829885i | \(-0.688406\pi\) | ||||
−0.557934 | + | 0.829885i | \(0.688406\pi\) | |||||||
\(24\) | 0.778110 | − | 6.40831i | 0.158831 | − | 1.30809i | ||||
\(25\) | −3.60897 | + | 3.19727i | −0.721794 | + | 0.639454i | ||||
\(26\) | 5.70929 | + | 7.22859i | 1.11968 | + | 1.41764i | ||||
\(27\) | 0.748511 | + | 0.663123i | 0.144051 | + | 0.127618i | ||||
\(28\) | −5.57025 | + | 4.93481i | −1.05268 | + | 0.932591i | ||||
\(29\) | −1.58367 | − | 0.831175i | −0.294080 | − | 0.154345i | 0.311231 | − | 0.950334i | \(-0.399259\pi\) |
−0.605311 | + | 0.795989i | \(0.706951\pi\) | |||||||
\(30\) | −2.83913 | + | 7.48616i | −0.518351 | + | 1.36678i | ||||
\(31\) | −5.33342 | − | 4.72500i | −0.957911 | − | 0.848635i | 0.0306384 | − | 0.999531i | \(-0.490246\pi\) |
−0.988550 | + | 0.150895i | \(0.951784\pi\) | |||||||
\(32\) | 4.56025 | − | 4.04003i | 0.806146 | − | 0.714183i | ||||
\(33\) | −4.23593 | + | 1.04406i | −0.737382 | + | 0.181748i | ||||
\(34\) | 2.41303 | − | 6.36264i | 0.413832 | − | 1.09118i | ||||
\(35\) | 4.56186 | − | 2.39425i | 0.771094 | − | 0.404702i | ||||
\(36\) | 0.545646 | + | 4.49380i | 0.0909410 | + | 0.748966i | ||||
\(37\) | −5.21613 | − | 4.62109i | −0.857526 | − | 0.759702i | 0.114785 | − | 0.993390i | \(-0.463382\pi\) |
−0.972312 | + | 0.233688i | \(0.924920\pi\) | |||||||
\(38\) | −2.33120 | − | 1.22351i | −0.378170 | − | 0.198479i | ||||
\(39\) | −2.84696 | − | 2.21242i | −0.455878 | − | 0.354271i | ||||
\(40\) | −17.9134 | + | 9.40169i | −2.83236 | + | 1.48654i | ||||
\(41\) | 7.60788 | + | 1.87517i | 1.18815 | + | 0.292853i | 0.783367 | − | 0.621559i | \(-0.213500\pi\) |
0.404784 | + | 0.914412i | \(0.367347\pi\) | |||||||
\(42\) | 2.38579 | − | 3.45642i | 0.368136 | − | 0.533337i | ||||
\(43\) | −9.61409 | + | 8.51734i | −1.46614 | + | 1.29888i | −0.599062 | + | 0.800703i | \(0.704460\pi\) |
−0.867074 | + | 0.498180i | \(0.834002\pi\) | |||||||
\(44\) | −17.4870 | − | 9.17787i | −2.63626 | − | 1.38362i | ||||
\(45\) | 0.377754 | − | 3.11108i | 0.0563122 | − | 0.463773i | ||||
\(46\) | 12.1058 | + | 6.35363i | 1.78491 | + | 0.936791i | ||||
\(47\) | −4.84256 | + | 7.01566i | −0.706360 | + | 1.02334i | 0.291410 | + | 0.956598i | \(0.405876\pi\) |
−0.997770 | + | 0.0667415i | \(0.978740\pi\) | |||||||
\(48\) | −4.22546 | + | 6.12164i | −0.609893 | + | 0.883582i | ||||
\(49\) | 4.17260 | − | 1.02845i | 0.596085 | − | 0.146922i | ||||
\(50\) | 11.9599 | − | 2.94786i | 1.69139 | − | 0.416890i | ||||
\(51\) | −0.321061 | + | 2.64417i | −0.0449575 | + | 0.370258i | ||||
\(52\) | −3.00522 | − | 16.0426i | −0.416749 | − | 2.22470i | ||||
\(53\) | 0.328714 | + | 2.70721i | 0.0451524 | + | 0.371864i | 0.997717 | + | 0.0675282i | \(0.0215113\pi\) |
−0.952565 | + | 0.304335i | \(0.901566\pi\) | |||||||
\(54\) | −0.905931 | − | 2.38874i | −0.123282 | − | 0.325067i | ||||
\(55\) | 10.2340 | + | 9.06650i | 1.37995 | + | 1.22253i | ||||
\(56\) | 10.3039 | − | 2.53967i | 1.37691 | − | 0.339378i | ||||
\(57\) | 1.00059 | + | 0.246623i | 0.132531 | + | 0.0326660i | ||||
\(58\) | 2.59565 | + | 3.76045i | 0.340825 | + | 0.493771i | ||||
\(59\) | 2.10568 | + | 5.55222i | 0.274136 | + | 0.722838i | 0.999409 | + | 0.0343763i | \(0.0109445\pi\) |
−0.725273 | + | 0.688462i | \(0.758286\pi\) | |||||||
\(60\) | 10.6189 | − | 9.40752i | 1.37089 | − | 1.21451i | ||||
\(61\) | −0.0349177 | + | 0.287573i | −0.00447075 | + | 0.0368199i | −0.994774 | − | 0.102106i | \(-0.967442\pi\) |
0.990303 | + | 0.138926i | \(0.0443650\pi\) | |||||||
\(62\) | 6.45510 | + | 17.0207i | 0.819799 | + | 2.16163i | ||||
\(63\) | −0.582948 | + | 1.53711i | −0.0734445 | + | 0.193657i | ||||
\(64\) | −0.668032 | + | 0.164655i | −0.0835040 | + | 0.0205819i | ||||
\(65\) | −0.637853 | + | 11.2815i | −0.0791159 | + | 1.39930i | ||||
\(66\) | 10.8218 | + | 2.66733i | 1.33207 | + | 0.328326i | ||||
\(67\) | −5.30951 | + | 7.69215i | −0.648659 | + | 0.939745i | 0.351334 | + | 0.936250i | \(0.385728\pi\) |
−0.999994 | + | 0.00349542i | \(0.998887\pi\) | |||||||
\(68\) | −9.02522 | + | 7.99565i | −1.09447 | + | 0.969615i | ||||
\(69\) | −5.19601 | − | 1.28070i | −0.625526 | − | 0.154178i | ||||
\(70\) | −13.1621 | −1.57317 | ||||||||
\(71\) | −7.25924 | − | 1.78924i | −0.861514 | − | 0.212344i | −0.216282 | − | 0.976331i | \(-0.569393\pi\) |
−0.645232 | + | 0.763987i | \(0.723239\pi\) | |||||||
\(72\) | 2.28911 | − | 6.03589i | 0.269774 | − | 0.711336i | ||||
\(73\) | 13.9626 | − | 7.32812i | 1.63420 | − | 0.857692i | 0.638048 | − | 0.769996i | \(-0.279742\pi\) |
0.996147 | − | 0.0876956i | \(-0.0279503\pi\) | |||||||
\(74\) | 6.31314 | + | 16.6464i | 0.733887 | + | 1.93510i | ||||
\(75\) | −4.26926 | + | 2.24068i | −0.492971 | + | 0.258731i | ||||
\(76\) | 2.65003 | + | 3.83923i | 0.303980 | + | 0.440390i | ||||
\(77\) | −4.07417 | − | 5.90245i | −0.464294 | − | 0.672647i | ||||
\(78\) | 3.81348 | + | 8.38486i | 0.431791 | + | 0.949398i | ||||
\(79\) | −7.18741 | + | 10.4128i | −0.808646 | + | 1.17153i | 0.173763 | + | 0.984787i | \(0.444407\pi\) |
−0.982410 | + | 0.186739i | \(0.940208\pi\) | |||||||
\(80\) | 23.3113 | 2.60628 | ||||||||
\(81\) | 0.568065 | + | 0.822984i | 0.0631183 | + | 0.0914427i | ||||
\(82\) | −14.9837 | − | 13.2744i | −1.65467 | − | 1.46591i | ||||
\(83\) | 1.68855 | − | 0.416190i | 0.185342 | − | 0.0456828i | −0.145552 | − | 0.989351i | \(-0.546496\pi\) |
0.330894 | + | 0.943668i | \(0.392650\pi\) | |||||||
\(84\) | −6.58937 | + | 3.45837i | −0.718959 | + | 0.377339i | ||||
\(85\) | 7.39137 | − | 3.87929i | 0.801706 | − | 0.420768i | ||||
\(86\) | 31.8606 | − | 7.85293i | 3.43562 | − | 0.846803i | ||||
\(87\) | −1.33874 | − | 1.18602i | −0.143528 | − | 0.127155i | ||||
\(88\) | 15.9984 | + | 23.1776i | 1.70543 | + | 2.47074i | ||||
\(89\) | −10.3491 | −1.09700 | −0.548502 | − | 0.836149i | \(-0.684802\pi\) | ||||
−0.548502 | + | 0.836149i | \(0.684802\pi\) | |||||||
\(90\) | −4.54818 | + | 6.58918i | −0.479420 | + | 0.694560i | ||||
\(91\) | 1.74110 | − | 5.66581i | 0.182517 | − | 0.593938i | ||||
\(92\) | −13.7615 | − | 19.9370i | −1.43474 | − | 2.07858i | ||||
\(93\) | −4.04768 | − | 5.86407i | −0.419725 | − | 0.608076i | ||||
\(94\) | 19.2839 | − | 10.1210i | 1.98898 | − | 1.04390i | ||||
\(95\) | −1.14524 | − | 3.01975i | −0.117499 | − | 0.309819i | ||||
\(96\) | 5.39458 | − | 2.83130i | 0.550582 | − | 0.288968i | ||||
\(97\) | 1.59287 | − | 4.20006i | 0.161732 | − | 0.426451i | −0.829513 | − | 0.558487i | \(-0.811382\pi\) |
0.991245 | + | 0.132036i | \(0.0421513\pi\) | |||||||
\(98\) | −10.6600 | − | 2.62745i | −1.07682 | − | 0.265413i | ||||
\(99\) | −4.36271 | −0.438469 | ||||||||
\(100\) | −21.1919 | − | 5.22334i | −2.11919 | − | 0.522334i | ||||
\(101\) | 8.76763 | − | 7.76744i | 0.872412 | − | 0.772890i | −0.102674 | − | 0.994715i | \(-0.532740\pi\) |
0.975086 | + | 0.221825i | \(0.0712015\pi\) | |||||||
\(102\) | 3.86559 | − | 5.60028i | 0.382751 | − | 0.554510i | ||||
\(103\) | −8.77792 | − | 2.16356i | −0.864914 | − | 0.213182i | −0.218190 | − | 0.975906i | \(-0.570015\pi\) |
−0.646724 | + | 0.762724i | \(0.723861\pi\) | |||||||
\(104\) | −6.83693 | + | 22.2484i | −0.670416 | + | 2.18164i | ||||
\(105\) | 5.00228 | − | 1.23295i | 0.488172 | − | 0.120324i | ||||
\(106\) | 2.47056 | − | 6.51432i | 0.239962 | − | 0.632727i | ||||
\(107\) | −6.30249 | − | 16.6183i | −0.609284 | − | 1.60655i | −0.783186 | − | 0.621788i | \(-0.786407\pi\) |
0.173901 | − | 0.984763i | \(-0.444363\pi\) | |||||||
\(108\) | −0.545646 | + | 4.49380i | −0.0525048 | + | 0.432416i | ||||
\(109\) | −8.28085 | + | 7.33619i | −0.793161 | + | 0.702680i | −0.958979 | − | 0.283477i | \(-0.908512\pi\) |
0.165818 | + | 0.986156i | \(0.446974\pi\) | |||||||
\(110\) | −12.3863 | − | 32.6599i | −1.18099 | − | 3.11400i | ||||
\(111\) | −3.95866 | − | 5.73511i | −0.375739 | − | 0.544352i | ||||
\(112\) | −11.8728 | − | 2.92639i | −1.12188 | − | 0.276518i | ||||
\(113\) | −0.762429 | + | 0.187922i | −0.0717233 | + | 0.0176782i | −0.275014 | − | 0.961440i | \(-0.588683\pi\) |
0.203291 | + | 0.979118i | \(0.434836\pi\) | |||||||
\(114\) | −1.97065 | − | 1.74585i | −0.184568 | − | 0.163513i | ||||
\(115\) | 5.94718 | + | 15.6814i | 0.554578 | + | 1.46230i | ||||
\(116\) | −0.975908 | − | 8.03732i | −0.0906108 | − | 0.746247i | ||||
\(117\) | −2.23477 | − | 2.82946i | −0.206604 | − | 0.261583i | ||||
\(118\) | 1.82859 | − | 15.0598i | 0.168336 | − | 1.38637i | ||||
\(119\) | −4.25154 | + | 1.04791i | −0.389738 | + | 0.0960618i | ||||
\(120\) | −19.6429 | + | 4.84153i | −1.79314 | + | 0.441969i | ||||
\(121\) | 4.56338 | − | 6.61120i | 0.414853 | − | 0.601019i | ||||
\(122\) | 0.420411 | − | 0.609071i | 0.0380622 | − | 0.0551427i | ||||
\(123\) | 6.93805 | + | 3.64137i | 0.625583 | + | 0.328331i | ||||
\(124\) | 3.88794 | − | 32.0200i | 0.349147 | − | 2.87548i | ||||
\(125\) | −0.495234 | − | 0.259919i | −0.0442951 | − | 0.0232478i | ||||
\(126\) | 3.14364 | − | 2.78502i | 0.280058 | − | 0.248110i | ||||
\(127\) | 4.11981 | − | 5.96858i | 0.365574 | − | 0.529626i | −0.596428 | − | 0.802666i | \(-0.703414\pi\) |
0.962002 | + | 0.273041i | \(0.0880294\pi\) | |||||||
\(128\) | −10.1241 | − | 2.49538i | −0.894856 | − | 0.220562i | ||||
\(129\) | −11.3731 | + | 5.96904i | −1.00134 | + | 0.525545i | ||||
\(130\) | 14.8370 | − | 24.7630i | 1.30129 | − | 2.17186i | ||||
\(131\) | 7.25197 | + | 3.80613i | 0.633608 | + | 0.332543i | 0.750764 | − | 0.660571i | \(-0.229686\pi\) |
−0.117156 | + | 0.993113i | \(0.537378\pi\) | |||||||
\(132\) | −14.7824 | − | 13.0961i | −1.28665 | − | 1.13987i | ||||
\(133\) | 0.204205 | + | 1.68178i | 0.0177068 | + | 0.145829i | ||||
\(134\) | 21.1433 | − | 11.0969i | 1.82651 | − | 0.958624i | ||||
\(135\) | 1.11131 | − | 2.93028i | 0.0956462 | − | 0.252198i | ||||
\(136\) | 16.6949 | − | 4.11492i | 1.43157 | − | 0.352851i | ||||
\(137\) | 6.42428 | − | 5.69142i | 0.548863 | − | 0.486250i | −0.342514 | − | 0.939513i | \(-0.611278\pi\) |
0.891377 | + | 0.453262i | \(0.149740\pi\) | |||||||
\(138\) | 10.2335 | + | 9.06611i | 0.871136 | + | 0.771759i | ||||
\(139\) | 6.52602 | − | 17.2077i | 0.553529 | − | 1.45954i | −0.307781 | − | 0.951457i | \(-0.599586\pi\) |
0.861310 | − | 0.508080i | \(-0.169644\pi\) | |||||||
\(140\) | 20.6506 | + | 10.8383i | 1.74530 | + | 0.916002i | ||||
\(141\) | −6.38081 | + | 5.65290i | −0.537361 | + | 0.476060i | ||||
\(142\) | 14.2970 | + | 12.6661i | 1.19978 | + | 1.06291i | ||||
\(143\) | 15.6974 | − | 1.01154i | 1.31268 | − | 0.0845894i | ||||
\(144\) | −5.56768 | + | 4.93254i | −0.463973 | + | 0.411045i | ||||
\(145\) | −0.675627 | + | 5.56429i | −0.0561077 | + | 0.462089i | ||||
\(146\) | −40.2855 | −3.33405 | ||||||||
\(147\) | 4.29747 | 0.354450 | ||||||||
\(148\) | 3.80243 | − | 31.3158i | 0.312558 | − | 2.57415i | ||||
\(149\) | 1.23506 | − | 1.78929i | 0.101180 | − | 0.146585i | −0.769124 | − | 0.639100i | \(-0.779307\pi\) |
0.870304 | + | 0.492515i | \(0.163922\pi\) | |||||||
\(150\) | 12.3179 | 1.00575 | ||||||||
\(151\) | 8.14322 | + | 11.7975i | 0.662686 | + | 0.960066i | 0.999827 | + | 0.0186122i | \(0.00592478\pi\) |
−0.337141 | + | 0.941454i | \(0.609460\pi\) | |||||||
\(152\) | −0.801868 | − | 6.60397i | −0.0650401 | − | 0.535653i | ||||
\(153\) | −0.944524 | + | 2.49050i | −0.0763602 | + | 0.201345i | ||||
\(154\) | 2.20857 | + | 18.1892i | 0.177971 | + | 1.46573i | ||||
\(155\) | −7.91849 | + | 20.8793i | −0.636029 | + | 1.67707i | ||||
\(156\) | 0.921346 | − | 16.2956i | 0.0737667 | − | 1.30469i | ||||
\(157\) | −4.09191 | − | 10.7895i | −0.326570 | − | 0.861095i | −0.993276 | − | 0.115774i | \(-0.963065\pi\) |
0.666705 | − | 0.745321i | \(-0.267704\pi\) | |||||||
\(158\) | 28.6214 | − | 15.0217i | 2.27700 | − | 1.19506i | ||||
\(159\) | −0.328714 | + | 2.70721i | −0.0260688 | + | 0.214696i | ||||
\(160\) | −16.9063 | − | 8.87309i | −1.33656 | − | 0.701479i | ||||
\(161\) | −1.06043 | − | 8.73341i | −0.0835734 | − | 0.688289i | ||||
\(162\) | −0.307942 | − | 2.53613i | −0.0241942 | − | 0.199258i | ||||
\(163\) | −14.9064 | − | 13.2059i | −1.16756 | − | 1.03437i | −0.998813 | − | 0.0487076i | \(-0.984490\pi\) |
−0.168746 | − | 0.985660i | \(-0.553972\pi\) | |||||||
\(164\) | 12.5779 | + | 33.1651i | 0.982166 | + | 2.58976i | ||||
\(165\) | 7.76683 | + | 11.2522i | 0.604647 | + | 0.875982i | ||||
\(166\) | −4.31384 | − | 1.06327i | −0.334819 | − | 0.0825254i | ||||
\(167\) | −3.79848 | − | 1.99360i | −0.293935 | − | 0.154269i | 0.311309 | − | 0.950309i | \(-0.399232\pi\) |
−0.605245 | + | 0.796039i | \(0.706925\pi\) | |||||||
\(168\) | 10.6122 | 0.818751 | ||||||||
\(169\) | 8.69692 | + | 9.66248i | 0.668994 | + | 0.743268i | ||||
\(170\) | −21.3259 | −1.63562 | ||||||||
\(171\) | 0.912491 | + | 0.478912i | 0.0697799 | + | 0.0366233i | ||||
\(172\) | −56.4541 | − | 13.9147i | −4.30458 | − | 1.06098i | ||||
\(173\) | −3.57328 | − | 5.17679i | −0.271672 | − | 0.393584i | 0.663273 | − | 0.748377i | \(-0.269167\pi\) |
−0.934945 | + | 0.354793i | \(0.884551\pi\) | |||||||
\(174\) | 1.62029 | + | 4.27236i | 0.122834 | + | 0.323886i | ||||
\(175\) | −5.93292 | − | 5.25611i | −0.448486 | − | 0.397324i | ||||
\(176\) | −3.91157 | − | 32.2147i | −0.294846 | − | 2.42828i | ||||
\(177\) | 0.715759 | + | 5.89481i | 0.0537998 | + | 0.443081i | ||||
\(178\) | 23.4110 | + | 12.2871i | 1.75473 | + | 0.920954i | ||||
\(179\) | 0.130800 | − | 1.07723i | 0.00977642 | − | 0.0805161i | −0.987004 | − | 0.160696i | \(-0.948626\pi\) |
0.996780 | + | 0.0801795i | \(0.0255493\pi\) | |||||||
\(180\) | 12.5617 | − | 6.59289i | 0.936294 | − | 0.491405i | ||||
\(181\) | 3.49365 | + | 9.21198i | 0.259681 | + | 0.684721i | 0.999923 | + | 0.0123817i | \(0.00394133\pi\) |
−0.740243 | + | 0.672340i | \(0.765289\pi\) | |||||||
\(182\) | −10.6654 | + | 10.7497i | −0.790570 | + | 0.796817i | ||||
\(183\) | −0.102724 | + | 0.270860i | −0.00759356 | + | 0.0200226i | ||||
\(184\) | 4.16407 | + | 34.2942i | 0.306979 | + | 2.52820i | ||||
\(185\) | −7.74435 | + | 20.4202i | −0.569376 | + | 1.50132i | ||||
\(186\) | 2.19421 | + | 18.0709i | 0.160887 | + | 1.32502i | ||||
\(187\) | −6.60119 | − | 9.56347i | −0.482727 | − | 0.699350i | ||||
\(188\) | −38.5895 | −2.81443 | ||||||||
\(189\) | −0.933862 | + | 1.35293i | −0.0679285 | + | 0.0984114i | ||||
\(190\) | −0.994537 | + | 8.19075i | −0.0721513 | + | 0.594219i | ||||
\(191\) | −6.00704 | −0.434654 | −0.217327 | − | 0.976099i | \(-0.569734\pi\) | ||||
−0.217327 | + | 0.976099i | \(0.569734\pi\) | |||||||
\(192\) | −0.688025 | −0.0496539 | ||||||||
\(193\) | −0.776638 | + | 6.39619i | −0.0559036 | + | 0.460408i | 0.937697 | + | 0.347455i | \(0.112954\pi\) |
−0.993600 | + | 0.112953i | \(0.963969\pi\) | |||||||
\(194\) | −8.58983 | + | 7.60992i | −0.616714 | + | 0.546361i | ||||
\(195\) | −3.31917 | + | 10.8011i | −0.237690 | + | 0.773481i | ||||
\(196\) | 14.5614 | + | 12.9003i | 1.04010 | + | 0.921448i | ||||
\(197\) | −3.48439 | + | 3.08690i | −0.248253 | + | 0.219933i | −0.778067 | − | 0.628181i | \(-0.783800\pi\) |
0.529815 | + | 0.848113i | \(0.322261\pi\) | |||||||
\(198\) | 9.86900 | + | 5.17965i | 0.701360 | + | 0.368102i | ||||
\(199\) | 9.51379 | − | 25.0858i | 0.674415 | − | 1.77828i | 0.0479305 | − | 0.998851i | \(-0.484737\pi\) |
0.626484 | − | 0.779434i | \(-0.284493\pi\) | |||||||
\(200\) | 23.2973 | + | 20.6396i | 1.64737 | + | 1.45944i | ||||
\(201\) | −6.99607 | + | 6.19798i | −0.493465 | + | 0.437172i | ||||
\(202\) | −29.0555 | + | 7.16153i | −2.04434 | + | 0.503883i | ||||
\(203\) | 1.04262 | − | 2.74917i | 0.0731778 | − | 0.192954i | ||||
\(204\) | −10.6764 | + | 5.60343i | −0.747501 | + | 0.392319i | ||||
\(205\) | −2.95992 | − | 24.3771i | −0.206730 | − | 1.70257i | ||||
\(206\) | 17.2881 | + | 15.3159i | 1.20452 | + | 1.06711i | ||||
\(207\) | −4.73853 | − | 2.48697i | −0.329351 | − | 0.172857i | ||||
\(208\) | 18.8893 | − | 19.0386i | 1.30974 | − | 1.32009i | ||||
\(209\) | −3.98093 | + | 2.08935i | −0.275367 | + | 0.144524i | ||||
\(210\) | −12.7796 | − | 3.14989i | −0.881878 | − | 0.217363i | ||||
\(211\) | 9.88702 | − | 14.3238i | 0.680651 | − | 0.986093i | −0.318619 | − | 0.947883i | \(-0.603219\pi\) |
0.999270 | − | 0.0382101i | \(-0.0121656\pi\) | |||||||
\(212\) | −9.24037 | + | 8.18625i | −0.634631 | + | 0.562234i | ||||
\(213\) | −6.62011 | − | 3.47450i | −0.453602 | − | 0.238069i | ||||
\(214\) | −5.47314 | + | 45.0754i | −0.374136 | + | 3.08129i | ||||
\(215\) | 35.6424 | + | 18.7066i | 2.43079 | + | 1.27578i | ||||
\(216\) | 3.66707 | − | 5.31267i | 0.249513 | − | 0.361482i | ||||
\(217\) | 6.65412 | − | 9.64016i | 0.451711 | − | 0.654417i | ||||
\(218\) | 27.4423 | − | 6.76392i | 1.85863 | − | 0.458110i | ||||
\(219\) | 15.3106 | − | 3.77372i | 1.03459 | − | 0.255004i | ||||
\(220\) | −7.46031 | + | 61.4411i | −0.502974 | + | 4.14236i | ||||
\(221\) | 2.82103 | − | 9.18005i | 0.189763 | − | 0.617517i | ||||
\(222\) | 2.14595 | + | 17.6735i | 0.144027 | + | 1.18617i | ||||
\(223\) | 7.39301 | + | 19.4938i | 0.495072 | + | 1.30540i | 0.917043 | + | 0.398789i | \(0.130569\pi\) |
−0.421970 | + | 0.906610i | \(0.638661\pi\) | |||||||
\(224\) | 7.49676 | + | 6.64155i | 0.500899 | + | 0.443757i | ||||
\(225\) | −4.68143 | + | 1.15387i | −0.312095 | + | 0.0769246i | ||||
\(226\) | 1.94782 | + | 0.480096i | 0.129567 | + | 0.0319355i | ||||
\(227\) | −6.41581 | − | 9.29490i | −0.425832 | − | 0.616924i | 0.550074 | − | 0.835116i | \(-0.314600\pi\) |
−0.975906 | + | 0.218192i | \(0.929984\pi\) | |||||||
\(228\) | 1.65424 | + | 4.36187i | 0.109555 | + | 0.288872i | ||||
\(229\) | 6.97025 | − | 6.17510i | 0.460607 | − | 0.408062i | −0.400650 | − | 0.916231i | \(-0.631216\pi\) |
0.861258 | + | 0.508169i | \(0.169677\pi\) | |||||||
\(230\) | 5.16459 | − | 42.5343i | 0.340543 | − | 2.80463i | ||||
\(231\) | −2.54323 | − | 6.70595i | −0.167332 | − | 0.441219i | ||||
\(232\) | −4.09416 | + | 10.7954i | −0.268795 | + | 0.708753i | ||||
\(233\) | 25.4116 | − | 6.26339i | 1.66477 | − | 0.410329i | 0.709179 | − | 0.705029i | \(-0.249066\pi\) |
0.955590 | + | 0.294700i | \(0.0952197\pi\) | |||||||
\(234\) | 1.69603 | + | 9.05383i | 0.110873 | + | 0.591868i | ||||
\(235\) | 25.9394 | + | 6.39349i | 1.69210 | + | 0.417066i | ||||
\(236\) | −15.2699 | + | 22.1223i | −0.993988 | + | 1.44004i | ||||
\(237\) | −9.47049 | + | 8.39012i | −0.615174 | + | 0.544997i | ||||
\(238\) | 10.8617 | + | 2.67716i | 0.704057 | + | 0.173535i | ||||
\(239\) | 25.3600 | 1.64040 | 0.820201 | − | 0.572075i | \(-0.193861\pi\) | ||||
0.820201 | + | 0.572075i | \(0.193861\pi\) | |||||||
\(240\) | 22.6339 | + | 5.57875i | 1.46101 | + | 0.360107i | ||||
\(241\) | −3.15084 | + | 8.30807i | −0.202963 | + | 0.535170i | −0.997391 | − | 0.0721886i | \(-0.977002\pi\) |
0.794428 | + | 0.607359i | \(0.207771\pi\) | |||||||
\(242\) | −18.1722 | + | 9.53748i | −1.16815 | + | 0.613093i | ||||
\(243\) | 0.354605 | + | 0.935016i | 0.0227479 | + | 0.0599813i | ||||
\(244\) | −1.16114 | + | 0.609414i | −0.0743344 | + | 0.0390137i | ||||
\(245\) | −7.65069 | − | 11.0839i | −0.488785 | − | 0.708127i | ||||
\(246\) | −11.3715 | − | 16.4745i | −0.725022 | − | 1.05038i | ||||
\(247\) | −3.39427 | − | 1.51160i | −0.215972 | − | 0.0961807i | ||||
\(248\) | −26.1293 | + | 37.8548i | −1.65921 | + | 2.40378i | ||||
\(249\) | 1.73908 | 0.110210 | ||||||||
\(250\) | 0.811693 | + | 1.17594i | 0.0513359 | + | 0.0743730i | ||||
\(251\) | 7.65921 | + | 6.78547i | 0.483445 | + | 0.428295i | 0.869315 | − | 0.494258i | \(-0.164560\pi\) |
−0.385870 | + | 0.922553i | \(0.626099\pi\) | |||||||
\(252\) | −7.22553 | + | 1.78093i | −0.455166 | + | 0.112188i | ||||
\(253\) | 20.6728 | − | 10.8499i | 1.29969 | − | 0.682130i | ||||
\(254\) | −16.4058 | + | 8.61042i | −1.02939 | + | 0.540266i | ||||
\(255\) | 8.10496 | − | 1.99769i | 0.507552 | − | 0.125100i | ||||
\(256\) | 20.9694 | + | 18.5773i | 1.31059 | + | 1.16108i | ||||
\(257\) | −5.76226 | − | 8.34807i | −0.359440 | − | 0.520738i | 0.600992 | − | 0.799255i | \(-0.294773\pi\) |
−0.960431 | + | 0.278517i | \(0.910157\pi\) | |||||||
\(258\) | 32.8141 | 2.04292 | ||||||||
\(259\) | 6.50778 | − | 9.42815i | 0.404374 | − | 0.585837i | ||||
\(260\) | −43.6695 | + | 26.6344i | −2.70827 | + | 1.65179i | ||||
\(261\) | −1.01600 | − | 1.47194i | −0.0628891 | − | 0.0911106i | ||||
\(262\) | −11.8860 | − | 17.2199i | −0.734322 | − | 1.06385i | ||||
\(263\) | −21.3249 | + | 11.1922i | −1.31495 | + | 0.690139i | −0.968754 | − | 0.248023i | \(-0.920219\pi\) |
−0.346196 | + | 0.938162i | \(0.612527\pi\) | |||||||
\(264\) | 9.98671 | + | 26.3328i | 0.614640 | + | 1.62067i | ||||
\(265\) | 7.56757 | − | 3.97177i | 0.464872 | − | 0.243984i | ||||
\(266\) | 1.53476 | − | 4.04684i | 0.0941024 | − | 0.248128i | ||||
\(267\) | −10.0484 | − | 2.47671i | −0.614952 | − | 0.151572i | ||||
\(268\) | −42.3105 | −2.58452 | ||||||||
\(269\) | −27.8821 | − | 6.87232i | −1.70000 | − | 0.419013i | −0.734334 | − | 0.678789i | \(-0.762505\pi\) |
−0.965669 | + | 0.259776i | \(0.916351\pi\) | |||||||
\(270\) | −5.99291 | + | 5.30926i | −0.364717 | + | 0.323111i | ||||
\(271\) | −12.0349 | + | 17.4356i | −0.731071 | + | 1.05914i | 0.264432 | + | 0.964404i | \(0.414816\pi\) |
−0.995503 | + | 0.0947347i | \(0.969800\pi\) | |||||||
\(272\) | −19.2370 | − | 4.74150i | −1.16642 | − | 0.287496i | ||||
\(273\) | 3.04643 | − | 5.08450i | 0.184378 | − | 0.307728i | ||||
\(274\) | −21.2897 | + | 5.24744i | −1.28616 | + | 0.317010i | ||||
\(275\) | 7.45909 | − | 19.6680i | 0.449800 | − | 1.18603i | ||||
\(276\) | −8.59040 | − | 22.6510i | −0.517081 | − | 1.36343i | ||||
\(277\) | 1.35168 | − | 11.1321i | 0.0812148 | − | 0.668864i | −0.894072 | − | 0.447923i | \(-0.852164\pi\) |
0.975287 | − | 0.220941i | \(-0.0709129\pi\) | |||||||
\(278\) | −35.1926 | + | 31.1779i | −2.11071 | + | 1.86993i | ||||
\(279\) | −2.52670 | − | 6.66235i | −0.151269 | − | 0.398864i | ||||
\(280\) | −18.8927 | − | 27.3708i | −1.12906 | − | 1.63572i | ||||
\(281\) | 11.3171 | + | 2.78942i | 0.675123 | + | 0.166403i | 0.561948 | − | 0.827172i | \(-0.310052\pi\) |
0.113174 | + | 0.993575i | \(0.463898\pi\) | |||||||
\(282\) | 21.1456 | − | 5.21193i | 1.25920 | − | 0.310366i | ||||
\(283\) | −12.2852 | − | 10.8837i | −0.730280 | − | 0.646971i | 0.213729 | − | 0.976893i | \(-0.431439\pi\) |
−0.944008 | + | 0.329922i | \(0.892978\pi\) | |||||||
\(284\) | −12.0015 | − | 31.6453i | −0.712156 | − | 1.87780i | ||||
\(285\) | −0.389288 | − | 3.20607i | −0.0230594 | − | 0.189911i | ||||
\(286\) | −36.7105 | − | 16.3486i | −2.17074 | − | 0.966714i | ||||
\(287\) | −1.55265 | + | 12.7873i | −0.0916503 | + | 0.754808i | ||||
\(288\) | 5.91540 | − | 1.45802i | 0.348568 | − | 0.0859144i | ||||
\(289\) | 9.61744 | − | 2.37048i | 0.565731 | − | 0.139440i | ||||
\(290\) | 8.13459 | − | 11.7850i | 0.477680 | − | 0.692038i | ||||
\(291\) | 2.55173 | − | 3.69681i | 0.149585 | − | 0.216711i | ||||
\(292\) | 63.2058 | + | 33.1730i | 3.69884 | + | 1.94130i | ||||
\(293\) | −1.21813 | + | 10.0322i | −0.0711636 | + | 0.586085i | 0.912889 | + | 0.408208i | \(0.133846\pi\) |
−0.984053 | + | 0.177877i | \(0.943077\pi\) | |||||||
\(294\) | −9.72144 | − | 5.10221i | −0.566966 | − | 0.297567i | ||||
\(295\) | 13.9295 | − | 12.3405i | 0.811007 | − | 0.718489i | ||||
\(296\) | −25.5547 | + | 37.0223i | −1.48533 | + | 2.15188i | ||||
\(297\) | −4.23593 | − | 1.04406i | −0.245794 | − | 0.0605827i | ||||
\(298\) | −4.91821 | + | 2.58128i | −0.284904 | + | 0.149529i | ||||
\(299\) | 17.6263 | + | 7.84967i | 1.01936 | + | 0.453958i | ||||
\(300\) | −19.3261 | − | 10.1431i | −1.11579 | − | 0.585613i | ||||
\(301\) | −15.8050 | − | 14.0020i | −0.910982 | − | 0.807060i | ||||
\(302\) | −4.41436 | − | 36.3555i | −0.254018 | − | 2.09203i | ||||
\(303\) | 10.3717 | − | 5.44350i | 0.595840 | − | 0.312721i | ||||
\(304\) | −2.71821 | + | 7.16733i | −0.155900 | + | 0.411074i | ||||
\(305\) | 0.881473 | − | 0.217264i | 0.0504730 | − | 0.0124405i | ||||
\(306\) | 5.09350 | − | 4.51245i | 0.291176 | − | 0.257960i | ||||
\(307\) | −9.63082 | − | 8.53217i | −0.549660 | − | 0.486956i | 0.341976 | − | 0.939709i | \(-0.388904\pi\) |
−0.891636 | + | 0.452752i | \(0.850442\pi\) | |||||||
\(308\) | 11.5127 | − | 30.3565i | 0.655997 | − | 1.72972i | ||||
\(309\) | −8.00508 | − | 4.20139i | −0.455393 | − | 0.239009i | ||||
\(310\) | 42.7018 | − | 37.8305i | 2.42530 | − | 2.14863i | ||||
\(311\) | 7.89511 | + | 6.99446i | 0.447691 | + | 0.396619i | 0.856621 | − | 0.515946i | \(-0.172560\pi\) |
−0.408930 | + | 0.912566i | \(0.634098\pi\) | |||||||
\(312\) | −11.9627 | + | 19.9657i | −0.677252 | + | 1.13034i | ||||
\(313\) | −26.0244 | + | 23.0556i | −1.47098 | + | 1.30318i | −0.612355 | + | 0.790583i | \(0.709778\pi\) |
−0.858630 | + | 0.512596i | \(0.828684\pi\) | |||||||
\(314\) | −3.55346 | + | 29.2654i | −0.200533 | + | 1.65154i | ||||
\(315\) | 5.15198 | 0.290281 | ||||||||
\(316\) | −57.2751 | −3.22198 | ||||||||
\(317\) | 1.11899 | − | 9.21575i | 0.0628490 | − | 0.517608i | −0.926955 | − | 0.375172i | \(-0.877584\pi\) |
0.989804 | − | 0.142436i | \(-0.0454934\pi\) | |||||||
\(318\) | 3.95774 | − | 5.73378i | 0.221939 | − | 0.321535i | ||||
\(319\) | 7.80286 | 0.436876 | ||||||||
\(320\) | 1.22487 | + | 1.77454i | 0.0684726 | + | 0.0991996i | ||||
\(321\) | −2.14233 | − | 17.6437i | −0.119573 | − | 0.984774i | ||||
\(322\) | −7.96997 | + | 21.0151i | −0.444149 | + | 1.17113i | ||||
\(323\) | 0.330864 | + | 2.72491i | 0.0184097 | + | 0.151618i | ||||
\(324\) | −1.60523 | + | 4.23264i | −0.0891793 | + | 0.235146i | ||||
\(325\) | 16.5767 | − | 5.23716i | 0.919508 | − | 0.290506i | ||||
\(326\) | 18.0414 | + | 47.5712i | 0.999219 | + | 2.63473i | ||||
\(327\) | −9.79589 | + | 5.14128i | −0.541714 | + | 0.284313i | ||||
\(328\) | 6.09694 | − | 50.2128i | 0.336647 | − | 2.77254i | ||||
\(329\) | −12.4088 | − | 6.51263i | −0.684119 | − | 0.359053i | ||||
\(330\) | −4.21032 | − | 34.6751i | −0.231771 | − | 1.90880i | ||||
\(331\) | −0.875720 | − | 7.21220i | −0.0481339 | − | 0.396419i | −0.996787 | − | 0.0800997i | \(-0.974476\pi\) |
0.948653 | − | 0.316319i | \(-0.102447\pi\) | |||||||
\(332\) | 5.89264 | + | 5.22043i | 0.323401 | + | 0.286508i | ||||
\(333\) | −2.47113 | − | 6.51583i | −0.135417 | − | 0.357065i | ||||
\(334\) | 6.22574 | + | 9.01955i | 0.340657 | + | 0.493528i | ||||
\(335\) | 28.4406 | + | 7.00999i | 1.55388 | + | 0.382996i | ||||
\(336\) | −10.8275 | − | 5.68271i | −0.590689 | − | 0.310017i | ||||
\(337\) | −30.5460 | −1.66395 | −0.831973 | − | 0.554816i | \(-0.812789\pi\) | ||||
−0.831973 | + | 0.554816i | \(0.812789\pi\) | |||||||
\(338\) | −8.20171 | − | 32.1833i | −0.446114 | − | 1.75054i | ||||
\(339\) | −0.785247 | −0.0426488 | ||||||||
\(340\) | 33.4593 | + | 17.5608i | 1.81458 | + | 0.952367i | ||||
\(341\) | 30.1827 | + | 7.43936i | 1.63448 | + | 0.402864i | ||||
\(342\) | −1.49558 | − | 2.16672i | −0.0808717 | − | 0.117163i | ||||
\(343\) | 6.58584 | + | 17.3654i | 0.355602 | + | 0.937645i | ||||
\(344\) | 62.0626 | + | 54.9827i | 3.34619 | + | 2.96447i | ||||
\(345\) | 2.02156 | + | 16.6490i | 0.108837 | + | 0.896353i | ||||
\(346\) | 1.93704 | + | 15.9530i | 0.104136 | + | 0.857637i | ||||
\(347\) | 8.07858 | + | 4.23997i | 0.433681 | + | 0.227613i | 0.667413 | − | 0.744688i | \(-0.267402\pi\) |
−0.233732 | + | 0.972301i | \(0.575094\pi\) | |||||||
\(348\) | 0.975908 | − | 8.03732i | 0.0523142 | − | 0.430846i | ||||
\(349\) | −7.24106 | + | 3.80040i | −0.387605 | + | 0.203431i | −0.647258 | − | 0.762271i | \(-0.724084\pi\) |
0.259653 | + | 0.965702i | \(0.416392\pi\) | |||||||
\(350\) | 7.18067 | + | 18.9339i | 0.383823 | + | 1.01206i | ||||
\(351\) | −1.49269 | − | 3.28205i | −0.0796741 | − | 0.175183i | ||||
\(352\) | −9.42522 | + | 24.8523i | −0.502366 | + | 1.32463i | ||||
\(353\) | 1.28263 | + | 10.5634i | 0.0682676 | + | 0.562234i | 0.986207 | + | 0.165515i | \(0.0529285\pi\) |
−0.917940 | + | 0.396720i | \(0.870148\pi\) | |||||||
\(354\) | 5.37951 | − | 14.1846i | 0.285918 | − | 0.753903i | ||||
\(355\) | 2.82428 | + | 23.2600i | 0.149897 | + | 1.23451i | ||||
\(356\) | −26.6130 | − | 38.5555i | −1.41048 | − | 2.04344i | ||||
\(357\) | −4.37878 | −0.231750 | ||||||||
\(358\) | −1.57484 | + | 2.28154i | −0.0832327 | + | 0.120583i | ||||
\(359\) | −0.501516 | + | 4.13036i | −0.0264690 | + | 0.217992i | −0.999942 | − | 0.0108119i | \(-0.996558\pi\) |
0.973473 | + | 0.228804i | \(0.0734815\pi\) | |||||||
\(360\) | −20.2307 | −1.06625 | ||||||||
\(361\) | −17.9380 | −0.944105 | ||||||||
\(362\) | 3.03392 | − | 24.9865i | 0.159459 | − | 1.31326i | ||||
\(363\) | 6.01295 | − | 5.32701i | 0.315598 | − | 0.279595i | ||||
\(364\) | 25.5852 | − | 8.08327i | 1.34103 | − | 0.423679i | ||||
\(365\) | −36.9902 | − | 32.7704i | −1.93615 | − | 1.71528i | ||||
\(366\) | 0.553955 | − | 0.490761i | 0.0289557 | − | 0.0256525i | ||||
\(367\) | −21.3202 | − | 11.1897i | −1.11291 | − | 0.584098i | −0.194962 | − | 0.980811i | \(-0.562458\pi\) |
−0.917943 | + | 0.396713i | \(0.870151\pi\) | |||||||
\(368\) | 14.1156 | − | 37.2197i | 0.735824 | − | 1.94021i | ||||
\(369\) | 5.86501 | + | 5.19594i | 0.305320 | + | 0.270490i | ||||
\(370\) | 41.7627 | − | 36.9985i | 2.17114 | − | 1.92346i | ||||
\(371\) | −4.35289 | + | 1.07289i | −0.225991 | + | 0.0557017i | ||||
\(372\) | 11.4379 | − | 30.1591i | 0.593025 | − | 1.56368i | ||||
\(373\) | 0.783601 | − | 0.411266i | 0.0405733 | − | 0.0212945i | −0.444315 | − | 0.895871i | \(-0.646553\pi\) |
0.484888 | + | 0.874576i | \(0.338860\pi\) | |||||||
\(374\) | 3.57844 | + | 29.4711i | 0.185037 | + | 1.52391i | ||||
\(375\) | −0.418641 | − | 0.370883i | −0.0216185 | − | 0.0191523i | ||||
\(376\) | 48.7266 | + | 25.5737i | 2.51288 | + | 1.31886i | ||||
\(377\) | 3.99696 | + | 5.06059i | 0.205854 | + | 0.260634i | ||||
\(378\) | 3.71879 | − | 1.95177i | 0.191274 | − | 0.100388i | ||||
\(379\) | −32.8010 | − | 8.08471i | −1.68487 | − | 0.415284i | −0.723454 | − | 0.690373i | \(-0.757447\pi\) |
−0.961419 | + | 0.275089i | \(0.911293\pi\) | |||||||
\(380\) | 8.30502 | − | 12.0319i | 0.426039 | − | 0.617224i | ||||
\(381\) | 5.42847 | − | 4.80921i | 0.278109 | − | 0.246383i | ||||
\(382\) | 13.5887 | + | 7.13190i | 0.695258 | + | 0.364900i | ||||
\(383\) | 0.152440 | − | 1.25545i | 0.00778931 | − | 0.0641507i | −0.988296 | − | 0.152549i | \(-0.951252\pi\) |
0.996085 | + | 0.0883984i | \(0.0281749\pi\) | |||||||
\(384\) | −9.23277 | − | 4.84573i | −0.471158 | − | 0.247283i | ||||
\(385\) | −12.7682 | + | 18.4979i | −0.650726 | + | 0.942739i | ||||
\(386\) | 9.35077 | − | 13.5469i | 0.475942 | − | 0.689521i | ||||
\(387\) | −12.4711 | + | 3.07384i | −0.633940 | + | 0.156252i | ||||
\(388\) | 19.7434 | − | 4.86630i | 1.00232 | − | 0.247049i | ||||
\(389\) | −1.74166 | + | 14.3439i | −0.0883056 | + | 0.727262i | 0.879559 | + | 0.475790i | \(0.157838\pi\) |
−0.967864 | + | 0.251472i | \(0.919085\pi\) | |||||||
\(390\) | 20.3320 | − | 20.4927i | 1.02955 | − | 1.03769i | ||||
\(391\) | −1.71816 | − | 14.1503i | −0.0868912 | − | 0.715614i | ||||
\(392\) | −9.83739 | − | 25.9391i | −0.496863 | − | 1.31012i | ||||
\(393\) | 6.13038 | + | 5.43104i | 0.309237 | + | 0.273960i | ||||
\(394\) | 11.5471 | − | 2.84610i | 0.581734 | − | 0.143385i | ||||
\(395\) | 38.4997 | + | 9.48932i | 1.93713 | + | 0.477460i | ||||
\(396\) | −11.2188 | − | 16.2532i | −0.563765 | − | 0.816754i | ||||
\(397\) | 1.93466 | + | 5.10128i | 0.0970978 | + | 0.256026i | 0.974761 | − | 0.223253i | \(-0.0716676\pi\) |
−0.877663 | + | 0.479279i | \(0.840898\pi\) | |||||||
\(398\) | −51.3047 | + | 45.4520i | −2.57167 | + | 2.27830i | ||||
\(399\) | −0.204205 | + | 1.68178i | −0.0102230 | + | 0.0841942i | ||||
\(400\) | −12.7176 | − | 33.5336i | −0.635882 | − | 1.67668i | ||||
\(401\) | −5.68429 | + | 14.9882i | −0.283860 | + | 0.748476i | 0.714926 | + | 0.699201i | \(0.246461\pi\) |
−0.998785 | + | 0.0492759i | \(0.984309\pi\) | |||||||
\(402\) | 23.1846 | − | 5.71449i | 1.15634 | − | 0.285013i | ||||
\(403\) | 10.6360 | + | 23.3859i | 0.529817 | + | 1.16493i | ||||
\(404\) | 51.4836 | + | 12.6896i | 2.56141 | + | 0.631330i | ||||
\(405\) | 1.78028 | − | 2.57918i | 0.0884627 | − | 0.128160i | ||||
\(406\) | −5.62252 | + | 4.98112i | −0.279041 | + | 0.247209i | ||||
\(407\) | 29.5189 | + | 7.27575i | 1.46320 | + | 0.360645i | ||||
\(408\) | 17.1945 | 0.851255 | ||||||||
\(409\) | 21.3769 | + | 5.26893i | 1.05702 | + | 0.260532i | 0.729265 | − | 0.684231i | \(-0.239862\pi\) |
0.327754 | + | 0.944763i | \(0.393708\pi\) | |||||||
\(410\) | −22.2462 | + | 58.6583i | −1.09866 | + | 2.89693i | ||||
\(411\) | 7.59965 | − | 3.98860i | 0.374863 | − | 0.196743i | ||||
\(412\) | −14.5123 | − | 38.2657i | −0.714967 | − | 1.88521i | ||||
\(413\) | −8.64370 | + | 4.53656i | −0.425329 | + | 0.223230i | ||||
\(414\) | 7.76650 | + | 11.2517i | 0.381702 | + | 0.552992i | ||||
\(415\) | −3.09605 | − | 4.48540i | −0.151979 | − | 0.220180i | ||||
\(416\) | −20.9461 | + | 6.61762i | −1.02697 | + | 0.324455i | ||||
\(417\) | 10.4545 | − | 15.1459i | 0.511957 | − | 0.741697i | ||||
\(418\) | 11.4860 | 0.561798 | ||||||||
\(419\) | 17.5866 | + | 25.4786i | 0.859162 | + | 1.24471i | 0.968075 | + | 0.250660i | \(0.0806478\pi\) |
−0.108913 | + | 0.994051i | \(0.534737\pi\) | |||||||
\(420\) | 17.4568 | + | 15.4654i | 0.851804 | + | 0.754632i | ||||
\(421\) | 9.00727 | − | 2.22009i | 0.438987 | − | 0.108201i | −0.0136268 | − | 0.999907i | \(-0.504338\pi\) |
0.452614 | + | 0.891707i | \(0.350492\pi\) | |||||||
\(422\) | −39.3718 | + | 20.6639i | −1.91659 | + | 1.00590i | ||||
\(423\) | −7.54822 | + | 3.96161i | −0.367007 | + | 0.192620i | ||||
\(424\) | 17.0929 | − | 4.21301i | 0.830103 | − | 0.204602i | ||||
\(425\) | −9.61283 | − | 8.51623i | −0.466291 | − | 0.413098i | ||||
\(426\) | 10.8504 | + | 15.7195i | 0.525704 | + | 0.761614i | ||||
\(427\) | −0.476224 | −0.0230461 | ||||||||
\(428\) | 45.7043 | − | 66.2141i | 2.20920 | − | 3.20058i | ||||
\(429\) | 15.4833 | + | 2.77449i | 0.747543 | + | 0.133953i | ||||
\(430\) | −58.4182 | − | 84.6334i | −2.81718 | − | 4.08138i | ||||
\(431\) | −2.19156 | − | 3.17502i | −0.105564 | − | 0.152935i | 0.766642 | − | 0.642075i | \(-0.221926\pi\) |
−0.872206 | + | 0.489140i | \(0.837311\pi\) | |||||||
\(432\) | −6.58633 | + | 3.45677i | −0.316885 | + | 0.166314i | ||||
\(433\) | 12.3319 | + | 32.5165i | 0.592633 | + | 1.56264i | 0.809922 | + | 0.586537i | \(0.199509\pi\) |
−0.217289 | + | 0.976107i | \(0.569721\pi\) | |||||||
\(434\) | −26.4978 | + | 13.9071i | −1.27194 | + | 0.667564i | ||||
\(435\) | −1.98762 | + | 5.24091i | −0.0952989 | + | 0.251282i | ||||
\(436\) | −48.6252 | − | 11.9850i | −2.32873 | − | 0.573979i | ||||
\(437\) | −5.51491 | −0.263814 | ||||||||
\(438\) | −39.1149 | − | 9.64095i | −1.86898 | − | 0.460662i | ||||
\(439\) | 24.0022 | − | 21.2641i | 1.14556 | − | 1.01488i | 0.145892 | − | 0.989301i | \(-0.453395\pi\) |
0.999673 | − | 0.0255810i | \(-0.00814356\pi\) | |||||||
\(440\) | 50.1378 | − | 72.6372i | 2.39023 | − | 3.46284i | ||||
\(441\) | 4.17260 | + | 1.02845i | 0.198695 | + | 0.0489740i | ||||
\(442\) | −17.2806 | + | 17.4172i | −0.821955 | + | 0.828450i | ||||
\(443\) | −14.1354 | + | 3.48407i | −0.671594 | + | 0.165533i | −0.560345 | − | 0.828260i | \(-0.689331\pi\) |
−0.111249 | + | 0.993793i | \(0.535485\pi\) | |||||||
\(444\) | 11.1863 | − | 29.4959i | 0.530879 | − | 1.39981i | ||||
\(445\) | 11.5011 | + | 30.3258i | 0.545203 | + | 1.43758i | ||||
\(446\) | 6.42016 | − | 52.8748i | 0.304003 | − | 2.50369i | ||||
\(447\) | 1.62738 | − | 1.44173i | 0.0769723 | − | 0.0681915i | ||||
\(448\) | −0.401082 | − | 1.05757i | −0.0189494 | − | 0.0499654i | ||||
\(449\) | −10.6519 | − | 15.4319i | −0.502693 | − | 0.728277i | 0.486695 | − | 0.873572i | \(-0.338202\pi\) |
−0.989388 | + | 0.145295i | \(0.953587\pi\) | |||||||
\(450\) | 11.9599 | + | 2.94786i | 0.563797 | + | 0.138963i | ||||
\(451\) | −33.1910 | + | 8.18084i | −1.56290 | + | 0.385221i | ||||
\(452\) | −2.66070 | − | 2.35718i | −0.125149 | − | 0.110872i | ||||
\(453\) | 5.08327 | + | 13.4035i | 0.238833 | + | 0.629750i | ||||
\(454\) | 3.47795 | + | 28.6435i | 0.163228 | + | 1.34431i | ||||
\(455\) | −18.5373 | + | 1.19454i | −0.869042 | + | 0.0560011i | ||||
\(456\) | 0.801868 | − | 6.60397i | 0.0375509 | − | 0.309259i | ||||
\(457\) | 4.64877 | − | 1.14582i | 0.217460 | − | 0.0535991i | −0.129080 | − | 0.991634i | \(-0.541202\pi\) |
0.346540 | + | 0.938035i | \(0.387356\pi\) | |||||||
\(458\) | −23.0990 | + | 5.69340i | −1.07935 | + | 0.266035i | ||||
\(459\) | −1.51309 | + | 2.19210i | −0.0706252 | + | 0.102318i | ||||
\(460\) | −43.1277 | + | 62.4813i | −2.01084 | + | 2.91320i | ||||
\(461\) | −32.2511 | − | 16.9267i | −1.50208 | − | 0.788354i | −0.504888 | − | 0.863185i | \(-0.668466\pi\) |
−0.997196 | + | 0.0748307i | \(0.976158\pi\) | |||||||
\(462\) | −2.20857 | + | 18.1892i | −0.102752 | + | 0.846237i | ||||
\(463\) | 15.2537 | + | 8.00573i | 0.708897 | + | 0.372058i | 0.780313 | − | 0.625389i | \(-0.215060\pi\) |
−0.0714161 | + | 0.997447i | \(0.522752\pi\) | |||||||
\(464\) | 9.95800 | − | 8.82202i | 0.462289 | − | 0.409552i | ||||
\(465\) | −12.6852 | + | 18.3776i | −0.588260 | + | 0.852241i | ||||
\(466\) | −64.9205 | − | 16.0015i | −3.00739 | − | 0.741254i | ||||
\(467\) | 32.6573 | − | 17.1399i | 1.51120 | − | 0.793139i | 0.513319 | − | 0.858198i | \(-0.328416\pi\) |
0.997881 | + | 0.0650583i | \(0.0207234\pi\) | |||||||
\(468\) | 4.79436 | − | 15.6016i | 0.221620 | − | 0.721184i | ||||
\(469\) | −13.6053 | − | 7.14061i | −0.628234 | − | 0.329723i | ||||
\(470\) | −51.0876 | − | 45.2597i | −2.35650 | − | 2.08767i | ||||
\(471\) | −1.39092 | − | 11.4552i | −0.0640900 | − | 0.527829i | ||||
\(472\) | 33.9419 | − | 17.8141i | 1.56230 | − | 0.819961i | ||||
\(473\) | 19.8706 | − | 52.3945i | 0.913651 | − | 2.40910i | ||||
\(474\) | 31.3847 | − | 7.73563i | 1.44155 | − | 0.355309i | ||||
\(475\) | −3.71916 | + | 3.29489i | −0.170647 | + | 0.151180i | ||||
\(476\) | −14.8369 | − | 13.1443i | −0.680047 | − | 0.602470i | ||||
\(477\) | −0.967040 | + | 2.54987i | −0.0442777 | + | 0.116751i | ||||
\(478\) | −57.3676 | − | 30.1088i | −2.62393 | − | 1.37715i | ||||
\(479\) | −1.93400 | + | 1.71338i | −0.0883668 | + | 0.0782861i | −0.706150 | − | 0.708063i | \(-0.749569\pi\) |
0.617783 | + | 0.786349i | \(0.288031\pi\) | |||||||
\(480\) | −14.2915 | − | 12.6612i | −0.652316 | − | 0.577902i | ||||
\(481\) | 10.4021 | + | 22.8716i | 0.474295 | + | 1.04285i | ||||
\(482\) | 16.9914 | − | 15.0531i | 0.773938 | − | 0.685649i | ||||
\(483\) | 1.06043 | − | 8.73341i | 0.0482511 | − | 0.397384i | ||||
\(484\) | 36.3648 | 1.65294 | ||||||||
\(485\) | −14.0775 | −0.639227 | ||||||||
\(486\) | 0.307942 | − | 2.53613i | 0.0139686 | − | 0.115041i | ||||
\(487\) | −1.28645 | + | 1.86374i | −0.0582944 | + | 0.0844541i | −0.851047 | − | 0.525089i | \(-0.824032\pi\) |
0.792753 | + | 0.609544i | \(0.208647\pi\) | |||||||
\(488\) | 1.87003 | 0.0846521 | ||||||||
\(489\) | −11.3129 | − | 16.3895i | −0.511585 | − | 0.741159i | ||||
\(490\) | 4.14737 | + | 34.1566i | 0.187359 | + | 1.54304i | ||||
\(491\) | −9.94849 | + | 26.2320i | −0.448969 | + | 1.18383i | 0.499318 | + | 0.866419i | \(0.333584\pi\) |
−0.948287 | + | 0.317415i | \(0.897185\pi\) | |||||||
\(492\) | 4.27545 | + | 35.2115i | 0.192752 | + | 1.58746i | ||||
\(493\) | 1.68932 | − | 4.45436i | 0.0760829 | − | 0.200614i | ||||
\(494\) | 5.88361 | + | 7.44929i | 0.264716 | + | 0.335160i | ||||
\(495\) | 4.84831 | + | 12.7839i | 0.217915 | + | 0.574596i | ||||
\(496\) | 46.9301 | − | 24.6308i | 2.10722 | − | 1.10596i | ||||
\(497\) | 1.48150 | − | 12.2013i | 0.0664544 | − | 0.547302i | ||||
\(498\) | −3.93403 | − | 2.06474i | −0.176288 | − | 0.0925231i | ||||
\(499\) | 1.59850 | + | 13.1648i | 0.0715587 | + | 0.589339i | 0.983746 | + | 0.179565i | \(0.0574692\pi\) |
−0.912187 | + | 0.409773i | \(0.865608\pi\) | |||||||
\(500\) | −0.305179 | − | 2.51337i | −0.0136480 | − | 0.112401i | ||||
\(501\) | −3.21101 | − | 2.84470i | −0.143457 | − | 0.127092i | ||||
\(502\) | −9.27002 | − | 24.4430i | −0.413741 | − | 1.09095i | ||||
\(503\) | 2.64687 | + | 3.83466i | 0.118018 | + | 0.170979i | 0.877541 | − | 0.479502i | \(-0.159183\pi\) |
−0.759523 | + | 0.650481i | \(0.774567\pi\) | |||||||
\(504\) | 10.3039 | + | 2.53967i | 0.458970 | + | 0.113126i | ||||
\(505\) | −32.5043 | − | 17.0596i | −1.44642 | − | 0.759141i | ||||
\(506\) | −59.6463 | −2.65160 | ||||||||
\(507\) | 6.13182 | + | 11.4630i | 0.272324 | + | 0.509090i | ||||
\(508\) | 32.8300 | 1.45660 | ||||||||
\(509\) | −2.08586 | − | 1.09475i | −0.0924543 | − | 0.0485238i | 0.417862 | − | 0.908510i | \(-0.362779\pi\) |
−0.510317 | + | 0.859987i | \(0.670472\pi\) | |||||||
\(510\) | −20.7062 | − | 5.10363i | −0.916888 | − | 0.225993i | ||||
\(511\) | 14.7259 | + | 21.3341i | 0.651434 | + | 0.943766i | ||||
\(512\) | −17.9845 | − | 47.4213i | −0.794811 | − | 2.09574i | ||||
\(513\) | 0.771365 | + | 0.683369i | 0.0340566 | + | 0.0301715i | ||||
\(514\) | 3.12366 | + | 25.7257i | 0.137779 | + | 1.13471i | ||||
\(515\) | 3.41513 | + | 28.1261i | 0.150489 | + | 1.23939i | ||||
\(516\) | −51.4836 | − | 27.0207i | −2.26644 | − | 1.18952i | ||||
\(517\) | 4.48283 | − | 36.9195i | 0.197155 | − | 1.62372i | ||||
\(518\) | −25.9151 | + | 13.6013i | −1.13864 | + | 0.597606i | ||||
\(519\) | −2.23056 | − | 5.88151i | −0.0979108 | − | 0.258170i | ||||
\(520\) | 72.7919 | − | 4.69072i | 3.19214 | − | 0.205702i | ||||
\(521\) | 3.83720 | − | 10.1179i | 0.168111 | − | 0.443271i | −0.824313 | − | 0.566134i | \(-0.808438\pi\) |
0.992424 | + | 0.122863i | \(0.0392076\pi\) | |||||||
\(522\) | 0.550766 | + | 4.53597i | 0.0241064 | + | 0.198534i | ||||
\(523\) | −14.9306 | + | 39.3689i | −0.652871 | + | 1.72148i | 0.0387799 | + | 0.999248i | \(0.487653\pi\) |
−0.691651 | + | 0.722232i | \(0.743116\pi\) | |||||||
\(524\) | 4.46889 | + | 36.8046i | 0.195224 | + | 1.60782i | ||||
\(525\) | −4.50265 | − | 6.52321i | −0.196512 | − | 0.284696i | ||||
\(526\) | 61.5277 | 2.68273 | ||||||||
\(527\) | 10.7814 | − | 15.6195i | 0.469644 | − | 0.680397i | ||||
\(528\) | 3.91157 | − | 32.2147i | 0.170229 | − | 1.40197i | ||||
\(529\) | 5.63875 | 0.245163 | ||||||||
\(530\) | −21.8343 | −0.948422 | ||||||||
\(531\) | −0.715759 | + | 5.89481i | −0.0310613 | + | 0.255813i | ||||
\(532\) | −5.74032 | + | 5.08548i | −0.248875 | + | 0.220484i | ||||
\(533\) | −22.3076 | − | 17.3356i | −0.966248 | − | 0.750888i | ||||
\(534\) | 19.7903 | + | 17.5327i | 0.856409 | + | 0.758712i | ||||
\(535\) | −41.6922 | + | 36.9361i | −1.80251 | + | 1.59689i | ||||
\(536\) | 53.4251 | + | 28.0396i | 2.30761 | + | 1.21113i | ||||
\(537\) | 0.384797 | − | 1.01463i | 0.0166052 | − | 0.0437844i | ||||
\(538\) | 54.9137 | + | 48.6493i | 2.36750 | + | 2.09742i | ||||
\(539\) | −14.0335 | + | 12.4326i | −0.604468 | + | 0.535512i | ||||
\(540\) | 13.7745 | − | 3.39510i | 0.592758 | − | 0.146102i | ||||
\(541\) | −7.51086 | + | 19.8045i | −0.322917 | + | 0.851462i | 0.671013 | + | 0.741446i | \(0.265860\pi\) |
−0.993930 | + | 0.110016i | \(0.964910\pi\) | |||||||
\(542\) | 47.9252 | − | 25.1531i | 2.05856 | − | 1.08042i | ||||
\(543\) | 1.18755 | + | 9.78039i | 0.0509628 | + | 0.419717i | ||||
\(544\) | 12.1467 | + | 10.7610i | 0.520784 | + | 0.461374i | ||||
\(545\) | 30.6997 | + | 16.1124i | 1.31503 | + | 0.690180i | ||||
\(546\) | −12.9280 | + | 7.88490i | −0.553268 | + | 0.337442i | ||||
\(547\) | −15.8766 | + | 8.33267i | −0.678833 | + | 0.356279i | −0.768641 | − | 0.639680i | \(-0.779067\pi\) |
0.0898082 | + | 0.995959i | \(0.471375\pi\) | |||||||
\(548\) | 37.7234 | + | 9.29799i | 1.61147 | + | 0.397191i | ||||
\(549\) | −0.164560 | + | 0.238406i | −0.00702324 | + | 0.0101749i | ||||
\(550\) | −40.2244 | + | 35.6357i | −1.71517 | + | 1.51951i | ||||
\(551\) | −1.63202 | − | 0.856552i | −0.0695266 | − | 0.0364904i | ||||
\(552\) | −4.16407 | + | 34.2942i | −0.177235 | + | 1.45966i | ||||
\(553\) | −18.4173 | − | 9.66615i | −0.783184 | − | 0.411047i | ||||
\(554\) | −16.2744 | + | 23.5775i | −0.691431 | + | 1.00171i | ||||
\(555\) | −12.4062 | + | 17.9734i | −0.526613 | + | 0.762930i | ||||
\(556\) | 80.8888 | − | 19.9373i | 3.43045 | − | 0.845530i | ||||
\(557\) | 7.09232 | − | 1.74810i | 0.300511 | − | 0.0740694i | −0.0861770 | − | 0.996280i | \(-0.527465\pi\) |
0.386688 | + | 0.922210i | \(0.373619\pi\) | |||||||
\(558\) | −2.19421 | + | 18.0709i | −0.0928882 | + | 0.765003i | ||||
\(559\) | 44.1593 | − | 13.9515i | 1.86774 | − | 0.590086i | ||||
\(560\) | 4.61924 | + | 38.0428i | 0.195198 | + | 1.60760i | ||||
\(561\) | −4.12068 | − | 10.8653i | −0.173975 | − | 0.458735i | ||||
\(562\) | −22.2890 | − | 19.7464i | −0.940206 | − | 0.832950i | ||||
\(563\) | 28.2462 | − | 6.96206i | 1.19044 | − | 0.293416i | 0.406144 | − | 0.913809i | \(-0.366873\pi\) |
0.784291 | + | 0.620393i | \(0.213027\pi\) | |||||||
\(564\) | −37.4682 | − | 9.23507i | −1.57769 | − | 0.388867i | ||||
\(565\) | 1.39796 | + | 2.02529i | 0.0588125 | + | 0.0852046i | ||||
\(566\) | 14.8689 | + | 39.2061i | 0.624987 | + | 1.64796i | ||||
\(567\) | −1.23050 | + | 1.09013i | −0.0516763 | + | 0.0457812i | ||||
\(568\) | −5.81754 | + | 47.9117i | −0.244098 | + | 2.01033i | ||||
\(569\) | −13.4822 | − | 35.5497i | −0.565205 | − | 1.49032i | −0.847394 | − | 0.530964i | \(-0.821830\pi\) |
0.282189 | − | 0.959359i | \(-0.408939\pi\) | |||||||
\(570\) | −2.92581 | + | 7.71473i | −0.122549 | + | 0.323135i | ||||
\(571\) | 36.9893 | − | 9.11704i | 1.54795 | − | 0.381536i | 0.629479 | − | 0.777017i | \(-0.283268\pi\) |
0.918474 | + | 0.395481i | \(0.129422\pi\) | |||||||
\(572\) | 44.1346 | + | 55.8793i | 1.84536 | + | 2.33643i | ||||
\(573\) | −5.83248 | − | 1.43758i | −0.243656 | − | 0.0600557i | ||||
\(574\) | 18.6941 | − | 27.0830i | 0.780275 | − | 1.13042i | ||||
\(575\) | 19.3135 | − | 17.1102i | 0.805427 | − | 0.713546i | ||||
\(576\) | −0.668032 | − | 0.164655i | −0.0278347 | − | 0.00686063i | ||||
\(577\) | −4.92242 | −0.204923 | −0.102462 | − | 0.994737i | \(-0.532672\pi\) | ||||
−0.102462 | + | 0.994737i | \(0.532672\pi\) | |||||||
\(578\) | −24.5702 | − | 6.05602i | −1.02199 | − | 0.251897i | ||||
\(579\) | −2.28478 | + | 6.02446i | −0.0949521 | + | 0.250368i | ||||
\(580\) | −22.4671 | + | 11.7916i | −0.932894 | + | 0.489620i | ||||
\(581\) | 1.01379 | + | 2.67316i | 0.0420593 | + | 0.110901i | ||||
\(582\) | −10.1614 | + | 5.33311i | −0.421204 | + | 0.221065i | ||||
\(583\) | −6.75855 | − | 9.79145i | −0.279911 | − | 0.405520i | ||||
\(584\) | −57.8253 | − | 83.7745i | −2.39283 | − | 3.46661i | ||||
\(585\) | −5.80758 | + | 9.69288i | −0.240114 | + | 0.400751i | ||||
\(586\) | 14.6663 | − | 21.2478i | 0.605860 | − | 0.877739i | ||||
\(587\) | 8.64516 | 0.356824 | 0.178412 | − | 0.983956i | \(-0.442904\pi\) | ||||
0.178412 | + | 0.983956i | \(0.442904\pi\) | |||||||
\(588\) | 11.0510 | + | 16.0102i | 0.455737 | + | 0.660249i | ||||
\(589\) | −5.49627 | − | 4.86927i | −0.226470 | − | 0.200635i | ||||
\(590\) | −46.1616 | + | 11.3778i | −1.90044 | + | 0.468417i | ||||
\(591\) | −4.12189 | + | 2.16333i | −0.169552 | + | 0.0889876i | ||||
\(592\) | 45.8980 | − | 24.0891i | 1.88640 | − | 0.990057i | ||||
\(593\) | 9.96406 | − | 2.45592i | 0.409175 | − | 0.100853i | −0.0293552 | − | 0.999569i | \(-0.509345\pi\) |
0.438530 | + | 0.898716i | \(0.355499\pi\) | |||||||
\(594\) | 8.34266 | + | 7.39095i | 0.342303 | + | 0.303254i | ||||
\(595\) | 7.79544 | + | 11.2936i | 0.319582 | + | 0.462994i | ||||
\(596\) | 9.84196 | 0.403142 | ||||||||
\(597\) | 15.2408 | − | 22.0800i | 0.623763 | − | 0.903676i | ||||
\(598\) | −30.5534 | − | 38.6839i | −1.24942 | − | 1.58190i | ||||
\(599\) | −4.97527 | − | 7.20792i | −0.203284 | − | 0.294508i | 0.708061 | − | 0.706151i | \(-0.249570\pi\) |
−0.911345 | + | 0.411644i | \(0.864955\pi\) | |||||||
\(600\) | 17.6809 | + | 25.6152i | 0.721821 | + | 1.04574i | ||||
\(601\) | −29.2659 | + | 15.3599i | −1.19378 | + | 0.626545i | −0.940152 | − | 0.340757i | \(-0.889317\pi\) |
−0.253630 | + | 0.967301i | \(0.581624\pi\) | |||||||
\(602\) | 19.1289 | + | 50.4388i | 0.779636 | + | 2.05573i | ||||
\(603\) | −8.27605 | + | 4.34361i | −0.337027 | + | 0.176885i | ||||
\(604\) | −23.0110 | + | 60.6749i | −0.936303 | + | 2.46883i | ||||
\(605\) | −24.4440 | − | 6.02490i | −0.993790 | − | 0.244947i | ||||
\(606\) | −29.9250 | −1.21562 | ||||||||
\(607\) | 33.9947 | + | 8.37895i | 1.37980 | + | 0.340091i | 0.858296 | − | 0.513155i | \(-0.171523\pi\) |
0.521508 | + | 0.853246i | \(0.325370\pi\) | |||||||
\(608\) | 4.69949 | − | 4.16338i | 0.190589 | − | 0.168848i | ||||
\(609\) | 1.67025 | − | 2.41977i | 0.0676818 | − | 0.0980540i | ||||
\(610\) | −2.25195 | − | 0.555056i | −0.0911789 | − | 0.0224736i | ||||
\(611\) | 26.2406 | − | 16.0044i | 1.06158 | − | 0.647467i | ||||
\(612\) | −11.7072 | + | 2.88557i | −0.473235 | + | 0.116642i | ||||
\(613\) | −5.31568 | + | 14.0163i | −0.214698 | + | 0.566113i | −0.998491 | − | 0.0549091i | \(-0.982513\pi\) |
0.783793 | + | 0.621022i | \(0.213282\pi\) | |||||||
\(614\) | 11.6563 | + | 30.7351i | 0.470410 | + | 1.24037i | ||||
\(615\) | 2.95992 | − | 24.3771i | 0.119355 | − | 0.982980i | ||||
\(616\) | −34.6546 | + | 30.7013i | −1.39627 | + | 1.23699i | ||||
\(617\) | 10.1121 | + | 26.6635i | 0.407099 | + | 1.07343i | 0.969181 | + | 0.246351i | \(0.0792316\pi\) |
−0.562081 | + | 0.827082i | \(0.689999\pi\) | |||||||
\(618\) | 13.1204 | + | 19.0082i | 0.527779 | + | 0.764620i | ||||
\(619\) | −22.7922 | − | 5.61778i | −0.916097 | − | 0.225798i | −0.247037 | − | 0.969006i | \(-0.579457\pi\) |
−0.669060 | + | 0.743208i | \(0.733303\pi\) | |||||||
\(620\) | −98.1483 | + | 24.1914i | −3.94173 | + | 0.971549i | ||||
\(621\) | −4.00567 | − | 3.54871i | −0.160742 | − | 0.142405i | ||||
\(622\) | −9.55554 | − | 25.1959i | −0.383142 | − | 1.01026i | ||||
\(623\) | −2.05073 | − | 16.8892i | −0.0821606 | − | 0.676653i | ||||
\(624\) | 22.8967 | − | 13.9649i | 0.916602 | − | 0.559043i | ||||
\(625\) | −3.11714 | + | 25.6719i | −0.124685 | + | 1.02688i | ||||
\(626\) | 86.2434 | − | 21.2571i | 3.44698 | − | 0.849604i | ||||
\(627\) | −4.36527 | + | 1.07594i | −0.174332 | + | 0.0429690i | ||||
\(628\) | 29.6737 | − | 42.9897i | 1.18411 | − | 1.71548i | ||||
\(629\) | 10.5443 | − | 15.2760i | 0.420427 | − | 0.609094i | ||||
\(630\) | −11.6545 | − | 6.11673i | −0.464324 | − | 0.243696i | ||||
\(631\) | 3.96028 | − | 32.6158i | 0.157656 | − | 1.29842i | −0.672171 | − | 0.740396i | \(-0.734638\pi\) |
0.829827 | − | 0.558020i | \(-0.188439\pi\) | |||||||
\(632\) | 72.3208 | + | 37.9569i | 2.87677 | + | 1.50984i | ||||
\(633\) | 13.0276 | − | 11.5415i | 0.517802 | − | 0.458733i | ||||
\(634\) | −13.4728 | + | 19.5187i | −0.535072 | + | 0.775185i | ||||
\(635\) | −22.0680 | − | 5.43927i | −0.875741 | − | 0.215851i | ||||
\(636\) | −10.9310 | + | 5.73701i | −0.433441 | + | 0.227487i | ||||
\(637\) | −15.2518 | − | 2.73300i | −0.604300 | − | 0.108285i | ||||
\(638\) | −17.6511 | − | 9.26400i | −0.698813 | − | 0.366765i | ||||
\(639\) | −5.59624 | − | 4.95783i | −0.221384 | − | 0.196129i | ||||
\(640\) | 3.93889 | + | 32.4397i | 0.155698 | + | 1.28229i | ||||
\(641\) | −16.2675 | + | 8.53786i | −0.642529 | + | 0.337225i | −0.754320 | − | 0.656506i | \(-0.772033\pi\) |
0.111791 | + | 0.993732i | \(0.464341\pi\) | |||||||
\(642\) | −16.1013 | + | 42.4558i | −0.635470 | + | 1.67560i | ||||
\(643\) | −47.5681 | + | 11.7245i | −1.87590 | + | 0.462369i | −0.999805 | − | 0.0197613i | \(-0.993709\pi\) |
−0.876100 | + | 0.482130i | \(0.839863\pi\) | |||||||
\(644\) | 29.8093 | − | 26.4087i | 1.17465 | − | 1.04065i | ||||
\(645\) | 30.1299 | + | 26.6928i | 1.18636 | + | 1.05103i | ||||
\(646\) | 2.48671 | − | 6.55691i | 0.0978382 | − | 0.257978i | ||||
\(647\) | −2.83840 | − | 1.48971i | −0.111589 | − | 0.0585665i | 0.408005 | − | 0.912980i | \(-0.366225\pi\) |
−0.519594 | + | 0.854413i | \(0.673917\pi\) | |||||||
\(648\) | 4.83192 | − | 4.28071i | 0.189816 | − | 0.168162i | ||||
\(649\) | −19.3911 | − | 17.1790i | −0.761166 | − | 0.674335i | ||||
\(650\) | −43.7164 | − | 7.83362i | −1.71470 | − | 0.307260i | ||||
\(651\) | 8.76781 | − | 7.76760i | 0.343637 | − | 0.304436i | ||||
\(652\) | 10.8664 | − | 89.4928i | 0.425561 | − | 3.50481i | ||||
\(653\) | 3.13581 | 0.122714 | 0.0613568 | − | 0.998116i | \(-0.480457\pi\) | ||||
0.0613568 | + | 0.998116i | \(0.480457\pi\) | |||||||
\(654\) | 28.2636 | 1.10519 | ||||||||
\(655\) | 3.09384 | − | 25.4801i | 0.120886 | − | 0.995589i | ||||
\(656\) | −33.1089 | + | 47.9665i | −1.29269 | + | 1.87278i | ||||
\(657\) | 15.7688 | 0.615199 | ||||||||
\(658\) | 20.3381 | + | 29.4648i | 0.792862 | + | 1.14866i | ||||
\(659\) | 3.78951 | + | 31.2094i | 0.147618 | + | 1.21575i | 0.858641 | + | 0.512578i | \(0.171309\pi\) |
−0.711022 | + | 0.703169i | \(0.751768\pi\) | |||||||
\(660\) | −21.9474 | + | 57.8704i | −0.854300 | + | 2.25260i | ||||
\(661\) | −1.68403 | − | 13.8692i | −0.0655010 | − | 0.539449i | −0.988114 | − | 0.153722i | \(-0.950874\pi\) |
0.922613 | − | 0.385727i | \(-0.126049\pi\) | |||||||
\(662\) | −6.58175 | + | 17.3546i | −0.255807 | + | 0.674507i | ||||
\(663\) | 4.93599 | − | 8.23818i | 0.191698 | − | 0.319944i | ||||
\(664\) | −3.98095 | − | 10.4969i | −0.154491 | − | 0.407359i | ||||
\(665\) | 4.70114 | − | 2.46735i | 0.182302 | − | 0.0956797i | ||||
\(666\) | −2.14595 | + | 17.6735i | −0.0831539 | + | 0.684834i | ||||
\(667\) | 8.47504 | + | 4.44805i | 0.328155 | + | 0.172229i | ||||
\(668\) | −2.34074 | − | 19.2778i | −0.0905661 | − | 0.745879i | ||||
\(669\) | 2.51302 | + | 20.6966i | 0.0971589 | + | 0.800176i | ||||
\(670\) | −56.0137 | − | 49.6238i | −2.16400 | − | 1.91714i | ||||
\(671\) | −0.448154 | − | 1.18168i | −0.0173008 | − | 0.0456184i | ||||
\(672\) | 5.68949 | + | 8.24265i | 0.219477 | + | 0.317967i | ||||
\(673\) | 20.1597 | + | 4.96891i | 0.777098 | + | 0.191538i | 0.607867 | − | 0.794039i | \(-0.292025\pi\) |
0.169231 | + | 0.985576i | \(0.445872\pi\) | |||||||
\(674\) | 69.0990 | + | 36.2659i | 2.66159 | + | 1.39691i | ||||
\(675\) | −4.82153 | −0.185581 | ||||||||
\(676\) | −13.6332 | + | 57.2475i | −0.524352 | + | 2.20183i | ||||
\(677\) | 31.5689 | 1.21329 | 0.606645 | − | 0.794973i | \(-0.292515\pi\) | ||||
0.606645 | + | 0.794973i | \(0.292515\pi\) | |||||||
\(678\) | 1.77633 | + | 0.932290i | 0.0682195 | + | 0.0358044i | ||||
\(679\) | 7.16992 | + | 1.76723i | 0.275156 | + | 0.0678199i | ||||
\(680\) | −30.6110 | − | 44.3477i | −1.17388 | − | 1.70066i | ||||
\(681\) | −4.00496 | − | 10.5602i | −0.153470 | − | 0.404668i | ||||
\(682\) | −59.4446 | − | 52.6633i | −2.27625 | − | 2.01658i | ||||
\(683\) | −3.11721 | − | 25.6725i | −0.119277 | − | 0.982332i | −0.922324 | − | 0.386417i | \(-0.873713\pi\) |
0.803048 | − | 0.595915i | \(-0.203210\pi\) | |||||||
\(684\) | 0.562306 | + | 4.63101i | 0.0215003 | + | 0.177071i | ||||
\(685\) | −23.8168 | − | 12.5000i | −0.909993 | − | 0.477601i | ||||
\(686\) | 5.71921 | − | 47.1019i | 0.218360 | − | 1.79836i | ||||
\(687\) | 8.24551 | − | 4.32758i | 0.314586 | − | 0.165107i | ||||
\(688\) | −33.8791 | − | 89.3317i | −1.29163 | − | 3.40574i | ||||
\(689\) | 2.88828 | − | 9.39889i | 0.110035 | − | 0.358069i | ||||
\(690\) | 15.1936 | − | 40.0623i | 0.578412 | − | 1.52515i | ||||
\(691\) | 0.105516 | + | 0.869006i | 0.00401404 | + | 0.0330586i | 0.994578 | − | 0.103991i | \(-0.0331612\pi\) |
−0.990564 | + | 0.137049i | \(0.956238\pi\) | |||||||
\(692\) | 10.0973 | − | 26.6244i | 0.383842 | − | 1.01211i | ||||
\(693\) | −0.864490 | − | 7.11972i | −0.0328393 | − | 0.270456i | ||||
\(694\) | −13.2409 | − | 19.1827i | −0.502616 | − | 0.728165i | ||||
\(695\) | −57.6757 | −2.18776 | ||||||||
\(696\) | −6.55870 | + | 9.50191i | −0.248607 | + | 0.360169i | ||||
\(697\) | −2.51569 | + | 20.7186i | −0.0952887 | + | 0.784773i | ||||
\(698\) | 20.8923 | 0.790784 | ||||||||
\(699\) | 26.1721 | 0.989920 | ||||||||
\(700\) | 4.32495 | − | 35.6192i | 0.163468 | − | 1.34628i | ||||
\(701\) | −23.6742 | + | 20.9735i | −0.894163 | + | 0.792159i | −0.978920 | − | 0.204242i | \(-0.934527\pi\) |
0.0847573 | + | 0.996402i | \(0.472989\pi\) | |||||||
\(702\) | −0.519974 | + | 9.19663i | −0.0196251 | + | 0.347105i | ||||
\(703\) | −5.37539 | − | 4.76218i | −0.202737 | − | 0.179609i | ||||
\(704\) | 2.24677 | − | 1.99046i | 0.0846782 | − | 0.0750184i | ||||
\(705\) | 23.6556 | + | 12.4154i | 0.890922 | + | 0.467592i | ||||
\(706\) | 9.64002 | − | 25.4186i | 0.362807 | − | 0.956643i | ||||
\(707\) | 14.4134 | + | 12.7692i | 0.542073 | + | 0.480234i | ||||
\(708\) | −20.1204 | + | 17.8252i | −0.756173 | + | 0.669910i | ||||
\(709\) | 26.9231 | − | 6.63596i | 1.01112 | − | 0.249219i | 0.301245 | − | 0.953547i | \(-0.402598\pi\) |
0.709875 | + | 0.704328i | \(0.248752\pi\) | |||||||
\(710\) | 21.2267 | − | 55.9702i | 0.796624 | − | 2.10053i | ||||
\(711\) | −11.2032 | + | 5.87988i | −0.420152 | + | 0.220513i | ||||
\(712\) | 8.05276 | + | 66.3204i | 0.301790 | + | 2.48546i | ||||
\(713\) | 28.5419 | + | 25.2859i | 1.06890 | + | 0.946966i | ||||
\(714\) | 9.90536 | + | 5.19873i | 0.370699 | + | 0.194558i | ||||
\(715\) | −20.4087 | − | 44.8736i | −0.763244 | − | 1.67818i | ||||
\(716\) | 4.34957 | − | 2.28283i | 0.162551 | − | 0.0853133i | ||||
\(717\) | 24.6231 | + | 6.06905i | 0.919566 | + | 0.226653i | ||||
\(718\) | 6.03829 | − | 8.74797i | 0.225347 | − | 0.326472i | ||||
\(719\) | −4.23512 | + | 3.75199i | −0.157943 | + | 0.139926i | −0.738393 | − | 0.674370i | \(-0.764415\pi\) |
0.580450 | + | 0.814296i | \(0.302877\pi\) | |||||||
\(720\) | 20.6411 | + | 10.8333i | 0.769249 | + | 0.403733i | ||||
\(721\) | 1.79144 | − | 14.7538i | 0.0667168 | − | 0.549462i | ||||
\(722\) | 40.5781 | + | 21.2970i | 1.51016 | + | 0.792593i | ||||
\(723\) | −5.04753 | + | 7.31261i | −0.187720 | + | 0.271959i | ||||
\(724\) | −25.3352 | + | 36.7043i | −0.941574 | + | 1.36410i | ||||
\(725\) | 8.37291 | − | 2.06374i | 0.310962 | − | 0.0766453i | ||||
\(726\) | −19.9266 | + | 4.91146i | −0.739545 | + | 0.182281i | ||||
\(727\) | 1.14056 | − | 9.39338i | 0.0423011 | − | 0.348381i | −0.956156 | − | 0.292857i | \(-0.905394\pi\) |
0.998457 | − | 0.0555240i | \(-0.0176829\pi\) | |||||||
\(728\) | −37.6630 | − | 6.74891i | −1.39589 | − | 0.250131i | ||||
\(729\) | 0.120537 | + | 0.992709i | 0.00446432 | + | 0.0367670i | ||||
\(730\) | 44.7696 | + | 118.048i | 1.65700 | + | 4.36914i | ||||
\(731\) | −25.6080 | − | 22.6868i | −0.947148 | − | 0.839100i | ||||
\(732\) | −1.27324 | + | 0.313826i | −0.0470604 | + | 0.0115993i | ||||
\(733\) | 25.0071 | + | 6.16370i | 0.923658 | + | 0.227661i | 0.672339 | − | 0.740243i | \(-0.265290\pi\) |
0.251319 | + | 0.967904i | \(0.419136\pi\) | |||||||
\(734\) | 34.9440 | + | 50.6251i | 1.28981 | + | 1.86861i | ||||
\(735\) | −4.77582 | − | 12.5928i | −0.176159 | − | 0.464492i | ||||
\(736\) | −24.4043 | + | 21.6203i | −0.899554 | + | 0.796935i | ||||
\(737\) | 4.91509 | − | 40.4794i | 0.181050 | − | 1.49108i | ||||
\(738\) | −7.09848 | − | 18.7172i | −0.261299 | − | 0.688988i | ||||
\(739\) | −8.94239 | + | 23.5792i | −0.328951 | + | 0.867373i | 0.663879 | + | 0.747840i | \(0.268909\pi\) |
−0.992830 | + | 0.119533i | \(0.961860\pi\) | |||||||
\(740\) | −95.9898 | + | 23.6593i | −3.52865 | + | 0.869735i | ||||
\(741\) | −2.93388 | − | 2.27997i | −0.107779 | − | 0.0837569i | ||||
\(742\) | 11.1206 | + | 2.74098i | 0.408250 | + | 0.100625i | ||||
\(743\) | 3.15243 | − | 4.56709i | 0.115652 | − | 0.167550i | −0.760883 | − | 0.648889i | \(-0.775234\pi\) |
0.876535 | + | 0.481339i | \(0.159849\pi\) | |||||||
\(744\) | −34.4293 | + | 30.5017i | −1.26224 | + | 1.11825i | ||||
\(745\) | −6.61566 | − | 1.63061i | −0.242379 | − | 0.0597410i | ||||
\(746\) | −2.26088 | −0.0827768 | ||||||||
\(747\) | 1.68855 | + | 0.416190i | 0.0617808 | + | 0.0152276i | ||||
\(748\) | 18.6535 | − | 49.1853i | 0.682040 | − | 1.79839i | ||||
\(749\) | 25.8714 | − | 13.5783i | 0.945319 | − | 0.496142i | ||||
\(750\) | 0.506685 | + | 1.33602i | 0.0185015 | + | 0.0487845i | ||||
\(751\) | −16.1488 | + | 8.47556i | −0.589279 | + | 0.309278i | −0.732880 | − | 0.680358i | \(-0.761824\pi\) |
0.143601 | + | 0.989636i | \(0.454132\pi\) | |||||||
\(752\) | −36.0207 | − | 52.1849i | −1.31354 | − | 1.90299i | ||||
\(753\) | 5.81278 | + | 8.42126i | 0.211829 | + | 0.306888i | ||||
\(754\) | −3.03342 | − | 16.1931i | −0.110471 | − | 0.589719i | ||||
\(755\) | 25.5203 | − | 36.9726i | 0.928779 | − | 1.34557i | ||||
\(756\) | −7.44178 | −0.270655 | ||||||||
\(757\) | 4.42361 | + | 6.40871i | 0.160779 | + | 0.232929i | 0.895091 | − | 0.445884i | \(-0.147110\pi\) |
−0.734312 | + | 0.678812i | \(0.762495\pi\) | |||||||
\(758\) | 64.6014 | + | 57.2318i | 2.34643 | + | 2.07875i | ||||
\(759\) | 22.6687 | − | 5.58733i | 0.822821 | − | 0.202807i | ||||
\(760\) | −18.4604 | + | 9.68874i | −0.669628 | + | 0.351448i | ||||
\(761\) | −15.0816 | + | 7.91542i | −0.546707 | + | 0.286934i | −0.715377 | − | 0.698739i | \(-0.753745\pi\) |
0.168670 | + | 0.985673i | \(0.446053\pi\) | |||||||
\(762\) | −17.9897 | + | 4.43405i | −0.651697 | + | 0.160629i | ||||
\(763\) | −13.6132 | − | 12.0602i | −0.492830 | − | 0.436610i | ||||
\(764\) | −15.4472 | − | 22.3791i | −0.558860 | − | 0.809649i | ||||
\(765\) | 8.34753 | 0.301805 | ||||||||
\(766\) | −1.83539 | + | 2.65901i | −0.0663152 | + | 0.0960741i | ||||
\(767\) | 1.20859 | − | 21.3760i | 0.0436396 | − | 0.771843i | ||||
\(768\) | 15.9143 | + | 23.0558i | 0.574257 | + | 0.831954i | ||||
\(769\) | −24.2251 | − | 35.0961i | −0.873578 | − | 1.26560i | −0.962972 | − | 0.269600i | \(-0.913108\pi\) |
0.0893941 | − | 0.995996i | \(-0.471507\pi\) | |||||||
\(770\) | 50.8450 | − | 26.6855i | 1.83233 | − | 0.961678i | ||||
\(771\) | −3.59699 | − | 9.48449i | −0.129543 | − | 0.341576i | ||||
\(772\) | −25.8260 | + | 13.5546i | −0.929500 | + | 0.487839i | ||||
\(773\) | −2.83621 | + | 7.47847i | −0.102011 | + | 0.268982i | −0.976299 | − | 0.216427i | \(-0.930560\pi\) |
0.874288 | + | 0.485408i | \(0.161329\pi\) | |||||||
\(774\) | 31.8606 | + | 7.85293i | 1.14521 | + | 0.282268i | ||||
\(775\) | 34.3553 | 1.23408 | ||||||||
\(776\) | −28.1547 | − | 6.93952i | −1.01070 | − | 0.249114i | ||||
\(777\) | 8.57498 | − | 7.59677i | 0.307626 | − | 0.272533i | ||||
\(778\) | 20.9697 | − | 30.3799i | 0.751800 | − | 1.08917i | ||||
\(779\) | 7.84017 | + | 1.93243i | 0.280903 | + | 0.0692364i | ||||
\(780\) | −48.7745 | + | 15.4096i | −1.74641 | + | 0.551753i | ||||
\(781\) | 31.6699 | − | 7.80594i | 1.13324 | − | 0.279319i | ||||
\(782\) | −12.9134 | + | 34.0498i | −0.461782 | + | 1.21762i | ||||
\(783\) | −0.634224 | − | 1.67231i | −0.0226653 | − | 0.0597635i | ||||
\(784\) | −3.85309 | + | 31.7330i | −0.137610 | + | 1.13332i | ||||
\(785\) | −27.0688 | + | 23.9809i | −0.966128 | + | 0.855914i | ||||
\(786\) | −7.41966 | − | 19.5640i | −0.264651 | − | 0.697826i | ||||
\(787\) | 16.1698 | + | 23.4260i | 0.576391 | + | 0.835047i | 0.997404 | − | 0.0720081i | \(-0.0229407\pi\) |
−0.421013 | + | 0.907055i | \(0.638325\pi\) | |||||||
\(788\) | −20.4604 | − | 5.04303i | −0.728871 | − | 0.179651i | ||||
\(789\) | −23.3837 | + | 5.76357i | −0.832482 | + | 0.205188i | ||||
\(790\) | −75.8250 | − | 67.1751i | −2.69773 | − | 2.38998i | ||||
\(791\) | −0.457758 | − | 1.20701i | −0.0162760 | − | 0.0429163i | ||||
\(792\) | 3.39467 | + | 27.9576i | 0.120624 | + | 0.993430i | ||||
\(793\) | 0.536824 | − | 0.895961i | 0.0190632 | − | 0.0318165i | ||||
\(794\) | 1.68008 | − | 13.8367i | 0.0596237 | − | 0.491046i | ||||
\(795\) | 8.29817 | − | 2.04532i | 0.294306 | − | 0.0725399i | ||||
\(796\) | 117.922 | − | 29.0651i | 4.17962 | − | 1.03018i | ||||
\(797\) | −22.1598 | + | 32.1040i | −0.784940 | + | 1.13718i | 0.202515 | + | 0.979279i | \(0.435089\pi\) |
−0.987455 | + | 0.157903i | \(0.949527\pi\) | |||||||
\(798\) | 2.45864 | − | 3.56195i | 0.0870349 | − | 0.126092i | ||||
\(799\) | −20.1054 | − | 10.5521i | −0.711278 | − | 0.373307i | ||||
\(800\) | −3.54075 | + | 29.1607i | −0.125184 | + | 1.03099i | ||||
\(801\) | −9.16369 | − | 4.80948i | −0.323783 | − | 0.169935i | ||||
\(802\) | 30.6535 | − | 27.1566i | 1.08241 | − | 0.958933i | ||||
\(803\) | −39.0798 | + | 56.6169i | −1.37910 | + | 1.99797i | ||||
\(804\) | −41.0810 | − | 10.1256i | −1.44882 | − | 0.357101i | ||||
\(805\) | −24.4129 | + | 12.8129i | −0.860440 | + | 0.451594i | ||||
\(806\) | 3.70501 | − | 65.5295i | 0.130503 | − | 2.30818i | ||||
\(807\) | −25.4273 | − | 13.3453i | −0.895082 | − | 0.469775i | ||||
\(808\) | −56.5984 | − | 50.1418i | −1.99112 | − | 1.76398i | ||||
\(809\) | 5.96684 | + | 49.1414i | 0.209783 | + | 1.72772i | 0.593991 | + | 0.804472i | \(0.297552\pi\) |
−0.384208 | + | 0.923247i | \(0.625525\pi\) | |||||||
\(810\) | −7.08936 | + | 3.72078i | −0.249095 | + | 0.130735i | ||||
\(811\) | −1.48653 | + | 3.91966i | −0.0521991 | + | 0.137638i | −0.958580 | − | 0.284824i | \(-0.908065\pi\) |
0.906381 | + | 0.422462i | \(0.138834\pi\) | |||||||
\(812\) | 12.9231 | − | 3.18527i | 0.453513 | − | 0.111781i | ||||
\(813\) | −15.8579 | + | 14.0488i | −0.556159 | + | 0.492714i | ||||
\(814\) | −58.1373 | − | 51.5051i | −2.03771 | − | 1.80525i | ||||
\(815\) | −22.1314 | + | 58.3557i | −0.775229 | + | 2.04411i | ||||
\(816\) | −17.5433 | − | 9.20744i | −0.614139 | − | 0.322325i | ||||
\(817\) | −9.90764 | + | 8.77740i | −0.346624 | + | 0.307082i | ||||
\(818\) | −42.1017 | − | 37.2989i | −1.47205 | − | 1.30412i | ||||
\(819\) | 4.17470 | − | 4.20769i | 0.145876 | − | 0.147029i | ||||
\(820\) | 83.2051 | − | 73.7133i | 2.90565 | − | 2.57418i | ||||
\(821\) | 6.65713 | − | 54.8264i | 0.232335 | − | 1.91345i | −0.148680 | − | 0.988885i | \(-0.547502\pi\) |
0.381015 | − | 0.924569i | \(-0.375575\pi\) | |||||||
\(822\) | −21.9269 | −0.764788 | ||||||||
\(823\) | −15.0043 | −0.523017 | −0.261508 | − | 0.965201i | \(-0.584220\pi\) | ||||
−0.261508 | + | 0.965201i | \(0.584220\pi\) | |||||||
\(824\) | −7.03460 | + | 57.9352i | −0.245062 | + | 2.01827i | ||||
\(825\) | 11.9492 | − | 17.3114i | 0.416018 | − | 0.602706i | ||||
\(826\) | 24.9392 | 0.867747 | ||||||||
\(827\) | 15.8504 | + | 22.9633i | 0.551173 | + | 0.798512i | 0.995237 | − | 0.0974833i | \(-0.0310793\pi\) |
−0.444064 | + | 0.895995i | \(0.646464\pi\) | |||||||
\(828\) | −2.92003 | − | 24.0486i | −0.101478 | − | 0.835748i | ||||
\(829\) | −0.239660 | + | 0.631932i | −0.00832374 | + | 0.0219479i | −0.939114 | − | 0.343607i | \(-0.888351\pi\) |
0.930790 | + | 0.365554i | \(0.119121\pi\) | |||||||
\(830\) | 1.67834 | + | 13.8224i | 0.0582560 | + | 0.479781i | ||||
\(831\) | 3.97650 | − | 10.4852i | 0.137943 | − | 0.363726i | ||||
\(832\) | 2.44182 | + | 0.437553i | 0.0846547 | + | 0.0151694i | ||||
\(833\) | 4.05907 | + | 10.7029i | 0.140638 | + | 0.370833i | ||||
\(834\) | −41.6314 | + | 21.8498i | −1.44158 | + | 0.756598i | ||||
\(835\) | −1.62051 | + | 13.3461i | −0.0560801 | + | 0.461861i | ||||
\(836\) | −18.0209 | − | 9.45810i | −0.623266 | − | 0.327115i | ||||
\(837\) | −0.858870 | − | 7.07343i | −0.0296869 | − | 0.244493i | ||||
\(838\) | −9.53354 | − | 78.5157i | −0.329331 | − | 2.71228i | ||||
\(839\) | 0.572163 | + | 0.506892i | 0.0197533 | + | 0.0174999i | 0.672942 | − | 0.739696i | \(-0.265031\pi\) |
−0.653188 | + | 0.757196i | \(0.726569\pi\) | |||||||
\(840\) | −11.7935 | − | 31.0968i | −0.406913 | − | 1.07294i | ||||
\(841\) | −14.6567 | − | 21.2339i | −0.505404 | − | 0.732204i | ||||
\(842\) | −23.0114 | − | 5.67180i | −0.793026 | − | 0.195463i | ||||
\(843\) | 10.3207 | + | 5.41673i | 0.355464 | + | 0.186562i | ||||
\(844\) | 78.7879 | 2.71199 | ||||||||
\(845\) | 18.6488 | − | 36.2224i | 0.641538 | − | 1.24609i | ||||
\(846\) | 21.7785 | 0.748760 | ||||||||
\(847\) | 11.6934 | + | 6.13717i | 0.401790 | + | 0.210876i | ||||
\(848\) | −19.6956 | − | 4.85453i | −0.676350 | − | 0.166705i | ||||
\(849\) | −9.32357 | − | 13.5075i | −0.319984 | − | 0.463577i | ||||
\(850\) | 11.6345 | + | 30.6777i | 0.399061 | + | 1.05224i | ||||
\(851\) | 27.9142 | + | 24.7298i | 0.956887 | + | 0.847728i | ||||
\(852\) | −4.07952 | − | 33.5979i | −0.139762 | − | 1.15104i | ||||
\(853\) | 4.85563 | + | 39.9897i | 0.166253 | + | 1.36922i | 0.802001 | + | 0.597323i | \(0.203769\pi\) |
−0.635747 | + | 0.771897i | \(0.719308\pi\) | |||||||
\(854\) | 1.07728 | + | 0.565400i | 0.0368637 | + | 0.0193476i | ||||
\(855\) | 0.389288 | − | 3.20607i | 0.0133134 | − | 0.109645i | ||||
\(856\) | −101.591 | + | 53.3192i | −3.47232 | + | 1.82241i | ||||
\(857\) | 11.9695 | + | 31.5610i | 0.408870 | + | 1.07810i | 0.968424 | + | 0.249308i | \(0.0802031\pi\) |
−0.559554 | + | 0.828794i | \(0.689028\pi\) | |||||||
\(858\) | −31.7313 | − | 24.6590i | −1.08329 | − | 0.841843i | ||||
\(859\) | 4.38775 | − | 11.5695i | 0.149708 | − | 0.394748i | −0.839093 | − | 0.543988i | \(-0.816914\pi\) |
0.988801 | + | 0.149240i | \(0.0476828\pi\) | |||||||
\(860\) | 21.9640 | + | 180.890i | 0.748965 | + | 6.16828i | ||||
\(861\) | −4.56773 | + | 12.0441i | −0.155668 | + | 0.410462i | ||||
\(862\) | 1.18802 | + | 9.78425i | 0.0404642 | + | 0.333253i | ||||
\(863\) | −0.874505 | − | 1.26694i | −0.0297685 | − | 0.0431271i | 0.807817 | − | 0.589433i | \(-0.200649\pi\) |
−0.837586 | + | 0.546306i | \(0.816034\pi\) | |||||||
\(864\) | 6.09244 | 0.207269 | ||||||||
\(865\) | −11.1984 | + | 16.2237i | −0.380758 | + | 0.551623i | ||||
\(866\) | 10.7091 | − | 88.1977i | 0.363911 | − | 2.99708i | ||||
\(867\) | 9.90526 | 0.336400 | ||||||||
\(868\) | 53.0255 | 1.79980 | ||||||||
\(869\) | 6.65349 | − | 54.7964i | 0.225704 | − | 1.85884i | ||||
\(870\) | 10.7185 | − | 9.49580i | 0.363393 | − | 0.321938i | ||||
\(871\) | 28.7709 | − | 17.5476i | 0.974863 | − | 0.594577i | ||||
\(872\) | 53.4560 | + | 47.3579i | 1.81025 | + | 1.60374i | ||||
\(873\) | 3.36228 | − | 2.97872i | 0.113796 | − | 0.100814i | ||||
\(874\) | 12.4754 | + | 6.54762i | 0.421988 | + | 0.221476i | ||||
\(875\) | 0.326042 | − | 0.859701i | 0.0110222 | − | 0.0290632i | ||||
\(876\) | 53.4304 | + | 47.3352i | 1.80524 | + | 1.59931i | ||||
\(877\) | 33.8246 | − | 29.9660i | 1.14218 | − | 1.01188i | 0.142419 | − | 0.989806i | \(-0.454512\pi\) |
0.999756 | − | 0.0220728i | \(-0.00702658\pi\) | |||||||
\(878\) | −79.5421 | + | 19.6054i | −2.68442 | + | 0.661649i | ||||
\(879\) | −3.58358 | + | 9.44913i | −0.120871 | + | 0.318711i | ||||
\(880\) | −90.0511 | + | 47.2625i | −3.03562 | + | 1.59322i | ||||
\(881\) | 2.05299 | + | 16.9079i | 0.0691670 | + | 0.569641i | 0.985556 | + | 0.169352i | \(0.0541674\pi\) |
−0.916389 | + | 0.400290i | \(0.868910\pi\) | |||||||
\(882\) | −8.21791 | − | 7.28044i | −0.276712 | − | 0.245145i | ||||
\(883\) | −21.7519 | − | 11.4163i | −0.732010 | − | 0.384188i | 0.0571587 | − | 0.998365i | \(-0.481796\pi\) |
−0.789169 | + | 0.614177i | \(0.789488\pi\) | |||||||
\(884\) | 41.4545 | − | 13.0970i | 1.39427 | − | 0.440499i | ||||
\(885\) | 16.4780 | − | 8.64832i | 0.553902 | − | 0.290710i | ||||
\(886\) | 36.1126 | + | 8.90096i | 1.21323 | + | 0.299034i | ||||
\(887\) | −14.2527 | + | 20.6487i | −0.478560 | + | 0.693314i | −0.985692 | − | 0.168554i | \(-0.946090\pi\) |
0.507132 | + | 0.861868i | \(0.330706\pi\) | |||||||
\(888\) | −33.6721 | + | 29.8309i | −1.12996 | + | 1.00106i | ||||
\(889\) | 10.5568 | + | 5.54062i | 0.354063 | + | 0.185827i | ||||
\(890\) | 9.98764 | − | 82.2556i | 0.334786 | − | 2.75721i | ||||
\(891\) | −3.86299 | − | 2.02745i | −0.129415 | − | 0.0679222i | ||||
\(892\) | −53.6125 | + | 77.6711i | −1.79508 | + | 2.60062i | ||||
\(893\) | −4.99042 | + | 7.22987i | −0.166998 | + | 0.241938i | ||||
\(894\) | −5.39304 | + | 1.32926i | −0.180370 | + | 0.0444573i | ||||
\(895\) | −3.30195 | + | 0.813857i | −0.110372 | + | 0.0272042i | ||||
\(896\) | 2.06618 | − | 17.0166i | 0.0690264 | − | 0.568483i | ||||
\(897\) | 15.2356 | + | 11.8398i | 0.508701 | + | 0.395320i | ||||
\(898\) | 5.77428 | + | 47.5555i | 0.192690 | + | 1.58695i | ||||
\(899\) | 4.51909 | + | 11.9159i | 0.150720 | + | 0.397416i | ||||
\(900\) | −16.3371 | − | 14.4734i | −0.544570 | − | 0.482447i | ||||
\(901\) | −7.05279 | + | 1.73836i | −0.234963 | + | 0.0579131i | ||||
\(902\) | 84.7950 | + | 20.9001i | 2.82336 | + | 0.695897i | ||||
\(903\) | −11.9948 | − | 17.3775i | −0.399162 | − | 0.578286i | ||||
\(904\) | 1.79752 | + | 4.73966i | 0.0597845 | + | 0.157639i | ||||
\(905\) | 23.1112 | − | 20.4747i | 0.768241 | − | 0.680602i | ||||
\(906\) | 4.41436 | − | 36.3555i | 0.146657 | − | 1.20783i | ||||
\(907\) | −13.3822 | − | 35.2859i | −0.444348 | − | 1.17165i | −0.950916 | − | 0.309449i | \(-0.899855\pi\) |
0.506568 | − | 0.862200i | \(-0.330914\pi\) | |||||||
\(908\) | 18.1297 | − | 47.8040i | 0.601654 | − | 1.58643i | ||||
\(909\) | 11.3731 | − | 2.80321i | 0.377221 | − | 0.0929766i | ||||
\(910\) | 43.3520 | + | 19.3063i | 1.43710 | + | 0.639998i | ||||
\(911\) | −4.47485 | − | 1.10295i | −0.148258 | − | 0.0365424i | 0.164488 | − | 0.986379i | \(-0.447403\pi\) |
−0.312746 | + | 0.949837i | \(0.601249\pi\) | |||||||
\(912\) | −4.35448 | + | 6.30855i | −0.144191 | + | 0.208897i | ||||
\(913\) | −5.67903 | + | 5.03119i | −0.187949 | + | 0.166508i | ||||
\(914\) | −11.8765 | − | 2.92729i | −0.392839 | − | 0.0968262i | ||||
\(915\) | 0.907853 | 0.0300127 | ||||||||
\(916\) | 40.9294 | + | 10.0882i | 1.35235 | + | 0.333323i | ||||
\(917\) | −4.77440 | + | 12.5891i | −0.157665 | + | 0.415727i | ||||
\(918\) | 6.02539 | − | 3.16237i | 0.198868 | − | 0.104374i | ||||
\(919\) | 12.6432 | + | 33.3374i | 0.417061 | + | 1.09970i | 0.964785 | + | 0.263041i | \(0.0847254\pi\) |
−0.547723 | + | 0.836659i | \(0.684505\pi\) | |||||||
\(920\) | 95.8640 | − | 50.3133i | 3.16054 | − | 1.65878i | ||||
\(921\) | −7.30909 | − | 10.5890i | −0.240843 | − | 0.348921i | ||||
\(922\) | 52.8598 | + | 76.5807i | 1.74085 | + | 2.52205i | ||||
\(923\) | 21.2853 | + | 16.5412i | 0.700614 | + | 0.544459i | ||||
\(924\) | 18.4430 | − | 26.7192i | 0.606729 | − | 0.878998i | ||||
\(925\) | 33.5997 | 1.10475 | ||||||||
\(926\) | −25.0009 | − | 36.2200i | −0.821579 | − | 1.19026i | ||||
\(927\) | −6.76700 | − | 5.99504i | −0.222258 | − | 0.196903i | ||||
\(928\) | −10.5799 | + | 2.60771i | −0.347303 | + | 0.0856024i | ||||
\(929\) | −2.95876 | + | 1.55288i | −0.0970739 | + | 0.0509483i | −0.512561 | − | 0.858651i | \(-0.671303\pi\) |
0.415487 | + | 0.909599i | \(0.363611\pi\) | |||||||
\(930\) | 50.5144 | − | 26.5120i | 1.65643 | − | 0.869363i | ||||
\(931\) | 4.30000 | − | 1.05985i | 0.140927 | − | 0.0347353i | ||||
\(932\) | 88.6806 | + | 78.5641i | 2.90483 | + | 2.57345i | ||||
\(933\) | 5.99181 | + | 8.68063i | 0.196163 | + | 0.284191i | ||||
\(934\) | −94.2245 | −3.08312 | ||||||||
\(935\) | −20.6877 | + | 29.9713i | −0.676559 | + | 0.980165i | ||||
\(936\) | −16.3932 | + | 16.5227i | −0.535827 | + | 0.540061i | ||||
\(937\) | −26.2192 | − | 37.9851i | −0.856545 | − | 1.24092i | −0.968950 | − | 0.247257i | \(-0.920471\pi\) |
0.112405 | − | 0.993663i | \(-0.464145\pi\) | |||||||
\(938\) | 22.2992 | + | 32.3060i | 0.728095 | + | 1.05483i | ||||
\(939\) | −30.7857 | + | 16.1576i | −1.00465 | + | 0.527283i | ||||
\(940\) | 42.8848 | + | 113.078i | 1.39875 | + | 3.68820i | ||||
\(941\) | −21.1945 | + | 11.1237i | −0.690921 | + | 0.362623i | −0.773355 | − | 0.633973i | \(-0.781423\pi\) |
0.0824342 | + | 0.996597i | \(0.473731\pi\) | |||||||
\(942\) | −10.4539 | + | 27.5646i | −0.340605 | + | 0.898102i | ||||
\(943\) | −40.7137 | − | 10.0350i | −1.32582 | − | 0.326786i | ||||
\(944\) | −44.1697 | −1.43760 | ||||||||
\(945\) | 5.00228 | + | 1.23295i | 0.162724 | + | 0.0401079i | ||||
\(946\) | −107.156 | + | 94.9315i | −3.48393 | + | 3.08649i | ||||
\(947\) | −11.2376 | + | 16.2805i | −0.365173 | + | 0.529044i | −0.961900 | − | 0.273400i | \(-0.911852\pi\) |
0.596728 | + | 0.802444i | \(0.296467\pi\) | |||||||
\(948\) | −55.6108 | − | 13.7068i | −1.80616 | − | 0.445177i | ||||
\(949\) | −56.7375 | + | 3.65617i | −1.84178 | + | 0.118684i | ||||
\(950\) | 12.3251 | − | 3.03786i | 0.399879 | − | 0.0985613i | ||||
\(951\) | 3.29195 | − | 8.68016i | 0.106749 | − | 0.281474i | ||||
\(952\) | 10.0235 | + | 26.4298i | 0.324864 | + | 0.856595i | ||||
\(953\) | −0.805672 | + | 6.63531i | −0.0260983 | + | 0.214939i | −0.999924 | − | 0.0123589i | \(-0.996066\pi\) |
0.973825 | + | 0.227298i | \(0.0729890\pi\) | |||||||
\(954\) | 5.21492 | − | 4.62002i | 0.168839 | − | 0.149579i | ||||
\(955\) | 6.67567 | + | 17.6023i | 0.216020 | + | 0.569597i | ||||
\(956\) | 65.2137 | + | 94.4784i | 2.10916 | + | 3.05565i | ||||
\(957\) | 7.57613 | + | 1.86735i | 0.244901 | + | 0.0603628i | ||||
\(958\) | 6.40918 | − | 1.57972i | 0.207071 | − | 0.0510384i | ||||
\(959\) | 10.5611 | + | 9.35632i | 0.341036 | + | 0.302131i | ||||
\(960\) | 0.764607 | + | 2.01610i | 0.0246776 | + | 0.0650695i | ||||
\(961\) | 2.38314 | + | 19.6269i | 0.0768754 | + | 0.633126i | ||||
\(962\) | 3.62353 | − | 64.0884i | 0.116827 | − | 2.06629i | ||||
\(963\) | 2.14233 | − | 17.6437i | 0.0690356 | − | 0.568560i | ||||
\(964\) | −39.0540 | + | 9.62596i | −1.25785 | + | 0.310031i | ||||
\(965\) | 19.6057 | − | 4.83237i | 0.631129 | − | 0.155559i | ||||
\(966\) | −12.7676 | + | 18.4971i | −0.410792 | + | 0.595134i | ||||
\(967\) | 4.63267 | − | 6.71158i | 0.148977 | − | 0.215830i | −0.741390 | − | 0.671075i | \(-0.765833\pi\) |
0.890366 | + | 0.455245i | \(0.150448\pi\) | |||||||
\(968\) | −45.9175 | − | 24.0994i | −1.47584 | − | 0.774583i | ||||
\(969\) | −0.330864 | + | 2.72491i | −0.0106289 | + | 0.0875366i | ||||
\(970\) | 31.8451 | + | 16.7136i | 1.02249 | + | 0.536642i | ||||
\(971\) | 13.7567 | − | 12.1874i | 0.441473 | − | 0.391111i | −0.412896 | − | 0.910778i | \(-0.635483\pi\) |
0.854369 | + | 0.519667i | \(0.173944\pi\) | |||||||
\(972\) | −2.57152 | + | 3.72549i | −0.0824815 | + | 0.119495i | ||||
\(973\) | 29.3752 | + | 7.24035i | 0.941727 | + | 0.232115i | ||||
\(974\) | 5.12284 | − | 2.68868i | 0.164146 | − | 0.0861507i | ||||
\(975\) | 17.3483 | − | 1.11793i | 0.555591 | − | 0.0358023i | ||||
\(976\) | −1.90796 | − | 1.00138i | −0.0610723 | − | 0.0320532i | ||||
\(977\) | −31.7492 | − | 28.1273i | −1.01575 | − | 0.899872i | −0.0207492 | − | 0.999785i | \(-0.506605\pi\) |
−0.994996 | + | 0.0999128i | \(0.968144\pi\) | |||||||
\(978\) | 6.13259 | + | 50.5064i | 0.196099 | + | 1.61502i | ||||
\(979\) | 39.9785 | − | 20.9823i | 1.27772 | − | 0.670599i | ||||
\(980\) | 21.6192 | − | 57.0051i | 0.690600 | − | 1.82096i | ||||
\(981\) | −10.7416 | + | 2.64757i | −0.342954 | + | 0.0845305i | ||||
\(982\) | 53.6489 | − | 47.5288i | 1.71201 | − | 1.51670i | ||||
\(983\) | 22.2896 | + | 19.7469i | 0.710929 | + | 0.629828i | 0.939040 | − | 0.343807i | \(-0.111717\pi\) |
−0.228112 | + | 0.973635i | \(0.573255\pi\) | |||||||
\(984\) | 17.9365 | − | 47.2946i | 0.571794 | − | 1.50770i | ||||
\(985\) | 12.9177 | + | 6.77974i | 0.411593 | + | 0.216020i | ||||
\(986\) | −9.10992 | + | 8.07068i | −0.290119 | + | 0.257023i | ||||
\(987\) | −10.4896 | − | 9.29301i | −0.333889 | − | 0.295800i | ||||
\(988\) | −3.09698 | − | 16.5324i | −0.0985279 | − | 0.525965i | ||||
\(989\) | 51.4500 | − | 45.5807i | 1.63601 | − | 1.44938i | ||||
\(990\) | 4.21032 | − | 34.6751i | 0.133813 | − | 1.10205i | ||||
\(991\) | −7.87832 | −0.250263 | −0.125132 | − | 0.992140i | \(-0.539935\pi\) | ||||
−0.125132 | + | 0.992140i | \(0.539935\pi\) | |||||||
\(992\) | −43.4109 | −1.37830 | ||||||||
\(993\) | 0.875720 | − | 7.21220i | 0.0277901 | − | 0.228872i | ||||
\(994\) | −17.8374 | + | 25.8419i | −0.565767 | + | 0.819656i | ||||
\(995\) | −84.0811 | −2.66555 | ||||||||
\(996\) | 4.47208 | + | 6.47893i | 0.141703 | + | 0.205293i | ||||
\(997\) | 2.05387 | + | 16.9152i | 0.0650468 | + | 0.535708i | 0.988413 | + | 0.151788i | \(0.0485032\pi\) |
−0.923366 | + | 0.383920i | \(0.874574\pi\) | |||||||
\(998\) | 12.0140 | − | 31.6784i | 0.380297 | − | 1.00276i | ||||
\(999\) | −0.839981 | − | 6.91787i | −0.0265758 | − | 0.218872i |
(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 | 507.2.m.a.79.1 | ✓ | 180 | |
169.92 | even | 13 | inner | 507.2.m.a.430.1 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.m.a.79.1 | ✓ | 180 | 1.1 | even | 1 | trivial | |
507.2.m.a.430.1 | yes | 180 | 169.92 | even | 13 | inner |