Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 191.47 | ||
Character | \(\chi\) | \(=\) | 300.191 |
Dual form | 300.2.n.a.11.47 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24461 | + | 0.671529i | 0.880071 | + | 0.474842i | ||||
\(3\) | −0.339606 | + | 1.69843i | −0.196071 | + | 0.980590i | ||||
\(4\) | 1.09810 | + | 1.67158i | 0.549049 | + | 0.835790i | ||||
\(5\) | 2.10329 | − | 0.759058i | 0.940620 | − | 0.339461i | ||||
\(6\) | −1.56322 | + | 1.88583i | −0.638182 | + | 0.769885i | ||||
\(7\) | 0.738888i | 0.279273i | 0.990203 | + | 0.139637i | \(0.0445935\pi\) | ||||
−0.990203 | + | 0.139637i | \(0.955407\pi\) | |||||||
\(8\) | 0.244189 | + | 2.81787i | 0.0863340 | + | 0.996266i | ||||
\(9\) | −2.76934 | − | 1.15359i | −0.923112 | − | 0.384531i | ||||
\(10\) | 3.12750 | + | 0.467689i | 0.989003 | + | 0.147896i | ||||
\(11\) | −1.63157 | − | 1.18541i | −0.491938 | − | 0.357414i | 0.313991 | − | 0.949426i | \(-0.398334\pi\) |
−0.805929 | + | 0.592012i | \(0.798334\pi\) | |||||||
\(12\) | −3.21198 | + | 1.29737i | −0.927220 | + | 0.374518i | ||||
\(13\) | 3.83758 | − | 2.78817i | 1.06435 | − | 0.773299i | 0.0894654 | − | 0.995990i | \(-0.471484\pi\) |
0.974889 | + | 0.222691i | \(0.0714842\pi\) | |||||||
\(14\) | −0.496184 | + | 0.919626i | −0.132611 | + | 0.245780i | ||||
\(15\) | 0.574919 | + | 3.83007i | 0.148443 | + | 0.988921i | ||||
\(16\) | −1.58836 | + | 3.67112i | −0.397089 | + | 0.917780i | ||||
\(17\) | −3.35436 | − | 1.08990i | −0.813551 | − | 0.264339i | −0.127450 | − | 0.991845i | \(-0.540679\pi\) |
−0.686101 | + | 0.727506i | \(0.740679\pi\) | |||||||
\(18\) | −2.67207 | − | 3.29546i | −0.629812 | − | 0.776747i | ||||
\(19\) | −2.82939 | − | 0.919326i | −0.649108 | − | 0.210908i | −0.0340869 | − | 0.999419i | \(-0.510852\pi\) |
−0.615021 | + | 0.788511i | \(0.710852\pi\) | |||||||
\(20\) | 3.57845 | + | 2.68230i | 0.800165 | + | 0.599780i | ||||
\(21\) | −1.25495 | − | 0.250931i | −0.273853 | − | 0.0547576i | ||||
\(22\) | −1.23464 | − | 2.57102i | −0.263225 | − | 0.548143i | ||||
\(23\) | 1.01379 | + | 0.736564i | 0.211391 | + | 0.153584i | 0.688443 | − | 0.725291i | \(-0.258295\pi\) |
−0.477052 | + | 0.878875i | \(0.658295\pi\) | |||||||
\(24\) | −4.86888 | − | 0.542225i | −0.993856 | − | 0.110681i | ||||
\(25\) | 3.84766 | − | 3.19304i | 0.769532 | − | 0.638608i | ||||
\(26\) | 6.64862 | − | 0.893130i | 1.30390 | − | 0.175157i | ||||
\(27\) | 2.89978 | − | 4.31176i | 0.558063 | − | 0.829798i | ||||
\(28\) | −1.23511 | + | 0.811372i | −0.233414 | + | 0.153335i | ||||
\(29\) | −7.24833 | + | 2.35512i | −1.34598 | + | 0.437336i | −0.891339 | − | 0.453338i | \(-0.850233\pi\) |
−0.454642 | + | 0.890674i | \(0.650233\pi\) | |||||||
\(30\) | −1.85646 | + | 5.15302i | −0.338941 | + | 0.940808i | ||||
\(31\) | 6.78818 | + | 2.20561i | 1.21919 | + | 0.396140i | 0.846788 | − | 0.531930i | \(-0.178533\pi\) |
0.372405 | + | 0.928070i | \(0.378533\pi\) | |||||||
\(32\) | −4.44214 | + | 3.50248i | −0.785268 | + | 0.619156i | ||||
\(33\) | 2.56743 | − | 2.36854i | 0.446931 | − | 0.412311i | ||||
\(34\) | −3.44296 | − | 3.60904i | −0.590463 | − | 0.618945i | ||||
\(35\) | 0.560859 | + | 1.55410i | 0.0948025 | + | 0.262690i | ||||
\(36\) | −1.11268 | − | 5.89593i | −0.185447 | − | 0.982654i | ||||
\(37\) | −0.994956 | + | 0.722878i | −0.163570 | + | 0.118840i | −0.666559 | − | 0.745452i | \(-0.732234\pi\) |
0.502989 | + | 0.864293i | \(0.332234\pi\) | |||||||
\(38\) | −2.90413 | − | 3.04422i | −0.471113 | − | 0.493838i | ||||
\(39\) | 3.43225 | + | 7.46475i | 0.549599 | + | 1.19532i | ||||
\(40\) | 2.65253 | + | 5.74144i | 0.419401 | + | 0.907801i | ||||
\(41\) | −1.02181 | − | 1.40641i | −0.159581 | − | 0.219644i | 0.721738 | − | 0.692166i | \(-0.243344\pi\) |
−0.881319 | + | 0.472522i | \(0.843344\pi\) | |||||||
\(42\) | −1.39341 | − | 1.15505i | −0.215009 | − | 0.178227i | ||||
\(43\) | − | 2.44596i | − | 0.373005i | −0.982455 | − | 0.186502i | \(-0.940285\pi\) | ||
0.982455 | − | 0.186502i | \(-0.0597152\pi\) | |||||||
\(44\) | 0.189874 | − | 4.02900i | 0.0286246 | − | 0.607395i | ||||
\(45\) | −6.70036 | − | 0.324255i | −0.998831 | − | 0.0483371i | ||||
\(46\) | 0.767152 | + | 1.59753i | 0.113110 | + | 0.235542i | ||||
\(47\) | −3.13833 | − | 9.65878i | −0.457772 | − | 1.40888i | −0.867849 | − | 0.496827i | \(-0.834498\pi\) |
0.410077 | − | 0.912051i | \(-0.365502\pi\) | |||||||
\(48\) | −5.69573 | − | 3.94445i | −0.822108 | − | 0.569332i | ||||
\(49\) | 6.45404 | 0.922006 | ||||||||
\(50\) | 6.93305 | − | 1.39027i | 0.980481 | − | 0.196614i | ||||
\(51\) | 2.99027 | − | 5.32701i | 0.418722 | − | 0.745930i | ||||
\(52\) | 8.87469 | + | 3.35314i | 1.23070 | + | 0.464997i | ||||
\(53\) | 11.6976 | − | 3.80078i | 1.60679 | − | 0.522077i | 0.638014 | − | 0.770025i | \(-0.279756\pi\) |
0.968773 | + | 0.247948i | \(0.0797562\pi\) | |||||||
\(54\) | 6.50456 | − | 3.41916i | 0.885159 | − | 0.465289i | ||||
\(55\) | −4.33147 | − | 1.25480i | −0.584055 | − | 0.169197i | ||||
\(56\) | −2.08209 | + | 0.180429i | −0.278231 | + | 0.0241108i | ||||
\(57\) | 2.52229 | − | 4.49332i | 0.334086 | − | 0.595155i | ||||
\(58\) | −10.6029 | − | 1.93625i | −1.39222 | − | 0.254242i | ||||
\(59\) | −3.97523 | + | 2.88818i | −0.517531 | + | 0.376009i | −0.815673 | − | 0.578513i | \(-0.803633\pi\) |
0.298142 | + | 0.954522i | \(0.403633\pi\) | |||||||
\(60\) | −5.77096 | + | 5.16682i | −0.745027 | + | 0.667034i | ||||
\(61\) | 5.09556 | + | 3.70214i | 0.652419 | + | 0.474010i | 0.864094 | − | 0.503330i | \(-0.167892\pi\) |
−0.211675 | + | 0.977340i | \(0.567892\pi\) | |||||||
\(62\) | 6.96749 | + | 7.30358i | 0.884873 | + | 0.927556i | ||||
\(63\) | 0.852377 | − | 2.04623i | 0.107389 | − | 0.257801i | ||||
\(64\) | −7.88074 | + | 1.37619i | −0.985093 | + | 0.172023i | ||||
\(65\) | 5.95517 | − | 8.77728i | 0.738648 | − | 1.08869i | ||||
\(66\) | 4.78598 | − | 1.22381i | 0.589114 | − | 0.150641i | ||||
\(67\) | 8.81266 | + | 2.86341i | 1.07664 | + | 0.349821i | 0.793070 | − | 0.609131i | \(-0.208482\pi\) |
0.283569 | + | 0.958952i | \(0.408482\pi\) | |||||||
\(68\) | −1.86157 | − | 6.80389i | −0.225748 | − | 0.825092i | ||||
\(69\) | −1.59529 | + | 1.47172i | −0.192051 | + | 0.177174i | ||||
\(70\) | −0.345570 | + | 2.31087i | −0.0413035 | + | 0.276202i | ||||
\(71\) | −4.32943 | − | 13.3246i | −0.513808 | − | 1.58134i | −0.785440 | − | 0.618938i | \(-0.787563\pi\) |
0.271631 | − | 0.962401i | \(-0.412437\pi\) | |||||||
\(72\) | 2.57443 | − | 8.08531i | 0.303400 | − | 0.952863i | ||||
\(73\) | −4.33209 | − | 3.14745i | −0.507033 | − | 0.368381i | 0.304664 | − | 0.952460i | \(-0.401456\pi\) |
−0.811697 | + | 0.584079i | \(0.801456\pi\) | |||||||
\(74\) | −1.72376 | + | 0.231558i | −0.200383 | + | 0.0269181i | ||||
\(75\) | 4.11647 | + | 7.61936i | 0.475329 | + | 0.879808i | ||||
\(76\) | −1.57023 | − | 5.73907i | −0.180118 | − | 0.658316i | ||||
\(77\) | 0.875884 | − | 1.20555i | 0.0998162 | − | 0.137385i | ||||
\(78\) | −0.740992 | + | 11.5955i | −0.0839008 | + | 1.31294i | ||||
\(79\) | −14.7649 | + | 4.79739i | −1.66118 | + | 0.539749i | −0.981118 | − | 0.193410i | \(-0.938045\pi\) |
−0.680058 | + | 0.733158i | \(0.738045\pi\) | |||||||
\(80\) | −0.554183 | + | 8.92709i | −0.0619595 | + | 0.998079i | ||||
\(81\) | 6.33844 | + | 6.38938i | 0.704271 | + | 0.709931i | ||||
\(82\) | −0.327316 | − | 2.43660i | −0.0361460 | − | 0.269078i | ||||
\(83\) | −0.885035 | + | 2.72386i | −0.0971453 | + | 0.298982i | −0.987807 | − | 0.155684i | \(-0.950242\pi\) |
0.890662 | + | 0.454667i | \(0.150242\pi\) | |||||||
\(84\) | −0.958609 | − | 2.37330i | −0.104593 | − | 0.258948i | ||||
\(85\) | −7.88248 | + | 0.253784i | −0.854975 | + | 0.0275267i | ||||
\(86\) | 1.64253 | − | 3.04426i | 0.177118 | − | 0.328271i | ||||
\(87\) | −1.53844 | − | 13.1106i | −0.164938 | − | 1.40560i | ||||
\(88\) | 2.94191 | − | 4.88702i | 0.313608 | − | 0.520958i | ||||
\(89\) | −7.36821 | + | 10.1415i | −0.781029 | + | 1.07499i | 0.214139 | + | 0.976803i | \(0.431306\pi\) |
−0.995168 | + | 0.0981907i | \(0.968694\pi\) | |||||||
\(90\) | −8.12158 | − | 4.90306i | −0.856090 | − | 0.516827i | ||||
\(91\) | 2.06014 | + | 2.83555i | 0.215962 | + | 0.297246i | ||||
\(92\) | −0.117980 | + | 2.50346i | −0.0123003 | + | 0.261004i | ||||
\(93\) | −6.05139 | + | 10.7802i | −0.627500 | + | 1.11786i | ||||
\(94\) | 2.58016 | − | 14.1289i | 0.266123 | − | 1.45728i | ||||
\(95\) | −6.64886 | + | 0.214066i | −0.682159 | + | 0.0219627i | ||||
\(96\) | −4.44014 | − | 8.73414i | −0.453170 | − | 0.891424i | ||||
\(97\) | 2.66343 | + | 8.19720i | 0.270430 | + | 0.832299i | 0.990392 | + | 0.138286i | \(0.0441592\pi\) |
−0.719962 | + | 0.694013i | \(0.755841\pi\) | |||||||
\(98\) | 8.03276 | + | 4.33407i | 0.811431 | + | 0.437808i | ||||
\(99\) | 3.15090 | + | 5.16497i | 0.316677 | + | 0.519099i | ||||
\(100\) | 9.56253 | + | 2.92540i | 0.956253 | + | 0.292540i | ||||
\(101\) | 17.6364i | 1.75489i | 0.479681 | + | 0.877443i | \(0.340753\pi\) | ||||
−0.479681 | + | 0.877443i | \(0.659247\pi\) | |||||||
\(102\) | 7.29895 | − | 4.62198i | 0.722704 | − | 0.457644i | ||||
\(103\) | −5.21717 | + | 1.69516i | −0.514063 | + | 0.167029i | −0.554549 | − | 0.832151i | \(-0.687109\pi\) |
0.0404864 | + | 0.999180i | \(0.487109\pi\) | |||||||
\(104\) | 8.79378 | + | 10.1330i | 0.862301 | + | 0.993618i | ||||
\(105\) | −2.83000 | + | 0.424801i | −0.276179 | + | 0.0414563i | ||||
\(106\) | 17.1112 | + | 3.12479i | 1.66199 | + | 0.303506i | ||||
\(107\) | −6.48954 | −0.627367 | −0.313684 | − | 0.949528i | \(-0.601563\pi\) | ||||
−0.313684 | + | 0.949528i | \(0.601563\pi\) | |||||||
\(108\) | 10.3917 | + | 0.112480i | 0.999941 | + | 0.0108234i | ||||
\(109\) | −6.74713 | + | 4.90208i | −0.646258 | + | 0.469534i | −0.861994 | − | 0.506918i | \(-0.830785\pi\) |
0.215736 | + | 0.976452i | \(0.430785\pi\) | |||||||
\(110\) | −4.54835 | − | 4.47043i | −0.433668 | − | 0.426239i | ||||
\(111\) | −0.889865 | − | 1.93536i | −0.0844623 | − | 0.183696i | ||||
\(112\) | −2.71255 | − | 1.17362i | −0.256312 | − | 0.110897i | ||||
\(113\) | −2.26858 | − | 3.12244i | −0.213410 | − | 0.293734i | 0.688869 | − | 0.724886i | \(-0.258107\pi\) |
−0.902280 | + | 0.431152i | \(0.858107\pi\) | |||||||
\(114\) | 6.15666 | − | 3.89864i | 0.576624 | − | 0.365141i | ||||
\(115\) | 2.69140 | + | 0.779680i | 0.250974 | + | 0.0727055i | ||||
\(116\) | −11.8962 | − | 9.53000i | −1.10453 | − | 0.884838i | ||||
\(117\) | −13.8440 | + | 3.29436i | −1.27988 | + | 0.304564i | ||||
\(118\) | −6.88710 | + | 0.925165i | −0.634009 | + | 0.0851684i | ||||
\(119\) | 0.805311 | − | 2.47849i | 0.0738228 | − | 0.227203i | ||||
\(120\) | −10.6522 | + | 2.55531i | −0.972413 | + | 0.233267i | ||||
\(121\) | −2.14234 | − | 6.59346i | −0.194759 | − | 0.599405i | ||||
\(122\) | 3.85588 | + | 8.02952i | 0.349095 | + | 0.726959i | ||||
\(123\) | 2.73570 | − | 1.25786i | 0.246670 | − | 0.113417i | ||||
\(124\) | 3.76724 | + | 13.7690i | 0.338308 | + | 1.23649i | ||||
\(125\) | 5.66904 | − | 9.63649i | 0.507055 | − | 0.861914i | ||||
\(126\) | 2.43498 | − | 1.97436i | 0.216925 | − | 0.175890i | ||||
\(127\) | 1.06653 | − | 1.46796i | 0.0946396 | − | 0.130260i | −0.759071 | − | 0.651008i | \(-0.774347\pi\) |
0.853711 | + | 0.520747i | \(0.174347\pi\) | |||||||
\(128\) | −10.7326 | − | 3.57933i | −0.948635 | − | 0.316371i | ||||
\(129\) | 4.15429 | + | 0.830661i | 0.365765 | + | 0.0731356i | ||||
\(130\) | 13.3060 | − | 6.92520i | 1.16702 | − | 0.607381i | ||||
\(131\) | −5.48334 | + | 16.8760i | −0.479082 | + | 1.47446i | 0.361291 | + | 0.932453i | \(0.382336\pi\) |
−0.840373 | + | 0.542009i | \(0.817664\pi\) | |||||||
\(132\) | 6.77850 | + | 1.69076i | 0.589993 | + | 0.147162i | ||||
\(133\) | 0.679279 | − | 2.09061i | 0.0589010 | − | 0.181278i | ||||
\(134\) | 9.04545 | + | 9.48178i | 0.781408 | + | 0.819101i | ||||
\(135\) | 2.82621 | − | 11.2700i | 0.243241 | − | 0.969966i | ||||
\(136\) | 2.25208 | − | 9.71827i | 0.193115 | − | 0.833334i | ||||
\(137\) | −2.75560 | − | 3.79276i | −0.235427 | − | 0.324037i | 0.674914 | − | 0.737896i | \(-0.264181\pi\) |
−0.910341 | + | 0.413859i | \(0.864181\pi\) | |||||||
\(138\) | −2.97382 | + | 0.760426i | −0.253148 | + | 0.0647318i | ||||
\(139\) | 12.4665 | − | 17.1586i | 1.05739 | − | 1.45538i | 0.175175 | − | 0.984537i | \(-0.443951\pi\) |
0.882219 | − | 0.470840i | \(-0.156049\pi\) | |||||||
\(140\) | −1.98192 | + | 2.64407i | −0.167503 | + | 0.223465i | ||||
\(141\) | 17.4706 | − | 2.05006i | 1.47129 | − | 0.172646i | ||||
\(142\) | 3.55941 | − | 19.4912i | 0.298699 | − | 1.63567i | ||||
\(143\) | −9.56642 | −0.799984 | ||||||||
\(144\) | 8.63368 | − | 8.33424i | 0.719473 | − | 0.694520i | ||||
\(145\) | −13.4577 | + | 10.4554i | −1.11760 | + | 0.868275i | ||||
\(146\) | −3.27815 | − | 6.82646i | −0.271302 | − | 0.564962i | ||||
\(147\) | −2.19183 | + | 10.9617i | −0.180779 | + | 0.904110i | ||||
\(148\) | −2.30091 | − | 0.869357i | −0.189133 | − | 0.0714607i | ||||
\(149\) | 4.19467i | 0.343641i | 0.985128 | + | 0.171820i | \(0.0549649\pi\) | ||||
−0.985128 | + | 0.171820i | \(0.945035\pi\) | |||||||
\(150\) | 0.00677600 | + | 12.2474i | 0.000553258 | + | 1.00000i | ||||
\(151\) | 1.91066i | 0.155487i | 0.996973 | + | 0.0777437i | \(0.0247716\pi\) | ||||
−0.996973 | + | 0.0777437i | \(0.975228\pi\) | |||||||
\(152\) | 1.89963 | − | 8.19734i | 0.154080 | − | 0.664892i | ||||
\(153\) | 8.03204 | + | 6.88785i | 0.649352 | + | 0.556850i | ||||
\(154\) | 1.89969 | − | 0.912257i | 0.153082 | − | 0.0735118i | ||||
\(155\) | 15.9517 | − | 0.513581i | 1.28127 | − | 0.0412518i | ||||
\(156\) | −8.70898 | + | 13.9343i | −0.697277 | + | 1.11564i | ||||
\(157\) | −20.1739 | −1.61006 | −0.805028 | − | 0.593237i | \(-0.797850\pi\) | ||||
−0.805028 | + | 0.593237i | \(0.797850\pi\) | |||||||
\(158\) | −21.5980 | − | 3.94415i | −1.71825 | − | 0.313780i | ||||
\(159\) | 2.48279 | + | 21.1583i | 0.196898 | + | 1.67796i | ||||
\(160\) | −6.68453 | + | 10.7386i | −0.528459 | + | 0.848959i | ||||
\(161\) | −0.544239 | + | 0.749080i | −0.0428920 | + | 0.0590358i | ||||
\(162\) | 3.59823 | + | 12.2087i | 0.282703 | + | 0.959207i | ||||
\(163\) | −0.834692 | − | 1.14885i | −0.0653781 | − | 0.0899853i | 0.775076 | − | 0.631868i | \(-0.217712\pi\) |
−0.840454 | + | 0.541883i | \(0.817712\pi\) | |||||||
\(164\) | 1.22887 | − | 3.25242i | 0.0959585 | − | 0.253971i | ||||
\(165\) | 3.60218 | − | 6.93056i | 0.280429 | − | 0.539544i | ||||
\(166\) | −2.93067 | + | 2.79581i | −0.227464 | + | 0.216997i | ||||
\(167\) | −3.66202 | + | 11.2705i | −0.283376 | + | 0.872140i | 0.703505 | + | 0.710690i | \(0.251617\pi\) |
−0.986881 | + | 0.161450i | \(0.948383\pi\) | |||||||
\(168\) | 0.400644 | − | 3.59756i | 0.0309103 | − | 0.277558i | ||||
\(169\) | 2.93595 | − | 9.03593i | 0.225842 | − | 0.695071i | ||||
\(170\) | −9.98102 | − | 4.97745i | −0.765509 | − | 0.381753i | ||||
\(171\) | 6.77501 | + | 5.80989i | 0.518098 | + | 0.444294i | ||||
\(172\) | 4.08861 | − | 2.68590i | 0.311754 | − | 0.204798i | ||||
\(173\) | 0.315397 | − | 0.434107i | 0.0239792 | − | 0.0330046i | −0.796859 | − | 0.604165i | \(-0.793507\pi\) |
0.820838 | + | 0.571161i | \(0.193507\pi\) | |||||||
\(174\) | 6.88938 | − | 17.3507i | 0.522283 | − | 1.31535i | ||||
\(175\) | 2.35930 | + | 2.84299i | 0.178346 | + | 0.214910i | ||||
\(176\) | 6.94330 | − | 4.10685i | 0.523371 | − | 0.309566i | ||||
\(177\) | −3.55536 | − | 7.73250i | −0.267237 | − | 0.581211i | ||||
\(178\) | −15.9808 | + | 7.67420i | −1.19781 | + | 0.575205i | ||||
\(179\) | −2.22699 | − | 6.85397i | −0.166453 | − | 0.512290i | 0.832687 | − | 0.553743i | \(-0.186801\pi\) |
−0.999140 | + | 0.0414537i | \(0.986801\pi\) | |||||||
\(180\) | −6.81564 | − | 11.5563i | −0.508008 | − | 0.861352i | ||||
\(181\) | −3.38179 | + | 10.4081i | −0.251366 | + | 0.773626i | 0.743158 | + | 0.669116i | \(0.233327\pi\) |
−0.994524 | + | 0.104509i | \(0.966673\pi\) | |||||||
\(182\) | 0.659923 | + | 4.91259i | 0.0489167 | + | 0.364145i | ||||
\(183\) | −8.01831 | + | 7.39718i | −0.592730 | + | 0.546815i | ||||
\(184\) | −1.82798 | + | 3.03660i | −0.134761 | + | 0.223861i | ||||
\(185\) | −1.54397 | + | 2.27565i | −0.113515 | + | 0.167309i | ||||
\(186\) | −14.7708 | + | 9.35347i | −1.08305 | + | 0.685830i | ||||
\(187\) | 4.18091 | + | 5.75453i | 0.305738 | + | 0.420813i | ||||
\(188\) | 12.6992 | − | 15.8523i | 0.926187 | − | 1.15615i | ||||
\(189\) | 3.18591 | + | 2.14261i | 0.231741 | + | 0.155852i | ||||
\(190\) | −8.41898 | − | 4.19847i | −0.610777 | − | 0.304589i | ||||
\(191\) | 6.33074 | − | 4.59955i | 0.458076 | − | 0.332812i | −0.334700 | − | 0.942325i | \(-0.608635\pi\) |
0.792776 | + | 0.609513i | \(0.208635\pi\) | |||||||
\(192\) | 0.338989 | − | 13.8523i | 0.0244644 | − | 0.999701i | ||||
\(193\) | 1.83318 | 0.131955 | 0.0659777 | − | 0.997821i | \(-0.478983\pi\) | ||||
0.0659777 | + | 0.997821i | \(0.478983\pi\) | |||||||
\(194\) | −2.18972 | + | 11.9909i | −0.157213 | + | 0.860894i | ||||
\(195\) | 12.8852 | + | 13.0953i | 0.922728 | + | 0.937771i | ||||
\(196\) | 7.08718 | + | 10.7884i | 0.506227 | + | 0.770604i | ||||
\(197\) | 10.0262 | − | 3.25772i | 0.714340 | − | 0.232103i | 0.0707724 | − | 0.997492i | \(-0.477454\pi\) |
0.643567 | + | 0.765389i | \(0.277454\pi\) | |||||||
\(198\) | 0.453210 | + | 8.54428i | 0.0322082 | + | 0.607215i | ||||
\(199\) | − | 19.8686i | − | 1.40845i | −0.709978 | − | 0.704223i | \(-0.751295\pi\) | ||
0.709978 | − | 0.704223i | \(-0.248705\pi\) | |||||||
\(200\) | 9.93712 | + | 10.0625i | 0.702661 | + | 0.711525i | ||||
\(201\) | −7.85613 | + | 13.9953i | −0.554129 | + | 0.987150i | ||||
\(202\) | −11.8433 | + | 21.9504i | −0.833294 | + | 1.54442i | ||||
\(203\) | −1.74017 | − | 5.35570i | −0.122136 | − | 0.375897i | ||||
\(204\) | 12.1881 | − | 0.851102i | 0.853340 | − | 0.0595890i | ||||
\(205\) | −3.21672 | − | 2.18247i | −0.224665 | − | 0.152430i | ||||
\(206\) | −7.63168 | − | 1.39367i | −0.531724 | − | 0.0971013i | ||||
\(207\) | −1.95784 | − | 3.20930i | −0.136079 | − | 0.223062i | ||||
\(208\) | 4.14024 | + | 18.5168i | 0.287074 | + | 1.28391i | ||||
\(209\) | 3.52659 | + | 4.85393i | 0.243939 | + | 0.335754i | ||||
\(210\) | −3.80750 | − | 1.37171i | −0.262743 | − | 0.0946572i | ||||
\(211\) | −13.5197 | + | 18.6083i | −0.930737 | + | 1.28105i | 0.0288343 | + | 0.999584i | \(0.490820\pi\) |
−0.959571 | + | 0.281465i | \(0.909180\pi\) | |||||||
\(212\) | 19.1984 | + | 15.3798i | 1.31855 | + | 1.05629i | ||||
\(213\) | 24.1012 | − | 2.82812i | 1.65139 | − | 0.193780i | ||||
\(214\) | −8.07693 | − | 4.35791i | −0.552128 | − | 0.297901i | ||||
\(215\) | −1.85662 | − | 5.14456i | −0.126621 | − | 0.350856i | ||||
\(216\) | 12.8581 | + | 7.11831i | 0.874880 | + | 0.484340i | ||||
\(217\) | −1.62970 | + | 5.01571i | −0.110631 | + | 0.340488i | ||||
\(218\) | −11.6894 | + | 1.57028i | −0.791708 | + | 0.106352i | ||||
\(219\) | 6.81692 | − | 6.28886i | 0.460645 | − | 0.424962i | ||||
\(220\) | −2.65889 | − | 8.61829i | −0.179262 | − | 0.581045i | ||||
\(221\) | −15.9114 | + | 5.16994i | −1.07032 | + | 0.347768i | ||||
\(222\) | 0.192114 | − | 3.00633i | 0.0128939 | − | 0.201772i | ||||
\(223\) | 11.1078 | − | 15.2886i | 0.743833 | − | 1.02380i | −0.254556 | − | 0.967058i | \(-0.581929\pi\) |
0.998389 | − | 0.0567398i | \(-0.0180705\pi\) | |||||||
\(224\) | −2.58794 | − | 3.28225i | −0.172914 | − | 0.219304i | ||||
\(225\) | −14.3389 | + | 4.40396i | −0.955929 | + | 0.293598i | ||||
\(226\) | −0.726691 | − | 5.40963i | −0.0483388 | − | 0.359843i | ||||
\(227\) | 18.1376 | + | 13.1778i | 1.20384 | + | 0.874639i | 0.994657 | − | 0.103238i | \(-0.0329204\pi\) |
0.209181 | + | 0.977877i | \(0.432920\pi\) | |||||||
\(228\) | 10.2807 | − | 0.717903i | 0.680854 | − | 0.0475443i | ||||
\(229\) | 6.33083 | + | 19.4843i | 0.418353 | + | 1.28756i | 0.909217 | + | 0.416322i | \(0.136681\pi\) |
−0.490864 | + | 0.871236i | \(0.663319\pi\) | |||||||
\(230\) | 2.82616 | + | 2.77775i | 0.186351 | + | 0.183159i | ||||
\(231\) | 1.75009 | + | 1.89704i | 0.115147 | + | 0.124816i | ||||
\(232\) | −8.40639 | − | 19.8497i | −0.551907 | − | 1.30320i | ||||
\(233\) | 5.52727 | + | 1.79592i | 0.362104 | + | 0.117655i | 0.484418 | − | 0.874837i | \(-0.339032\pi\) |
−0.122314 | + | 0.992491i | \(0.539032\pi\) | |||||||
\(234\) | −19.4426 | − | 5.19644i | −1.27100 | − | 0.339702i | ||||
\(235\) | −13.9324 | − | 17.9330i | −0.908849 | − | 1.16982i | ||||
\(236\) | −9.19302 | − | 3.47342i | −0.598415 | − | 0.226100i | ||||
\(237\) | −3.13381 | − | 26.7063i | −0.203563 | − | 1.73476i | ||||
\(238\) | 2.66668 | − | 2.54396i | 0.172855 | − | 0.164901i | ||||
\(239\) | −9.85377 | − | 7.15919i | −0.637388 | − | 0.463089i | 0.221564 | − | 0.975146i | \(-0.428884\pi\) |
−0.858952 | + | 0.512057i | \(0.828884\pi\) | |||||||
\(240\) | −14.9738 | − | 3.97293i | −0.966557 | − | 0.256452i | ||||
\(241\) | 9.23220 | − | 6.70758i | 0.594698 | − | 0.432074i | −0.249295 | − | 0.968428i | \(-0.580199\pi\) |
0.843993 | + | 0.536354i | \(0.180199\pi\) | |||||||
\(242\) | 1.76132 | − | 9.64492i | 0.113222 | − | 0.619999i | ||||
\(243\) | −13.0045 | + | 8.59554i | −0.834238 | + | 0.551404i | ||||
\(244\) | −0.592995 | + | 12.5829i | −0.0379626 | + | 0.805540i | ||||
\(245\) | 13.5747 | − | 4.89900i | 0.867258 | − | 0.312985i | ||||
\(246\) | 4.24956 | + | 0.271561i | 0.270942 | + | 0.0173141i | ||||
\(247\) | −13.4213 | + | 4.36084i | −0.853975 | + | 0.277473i | ||||
\(248\) | −4.55752 | + | 19.6668i | −0.289403 | + | 1.24884i | ||||
\(249\) | −4.32572 | − | 2.42821i | −0.274132 | − | 0.153882i | ||||
\(250\) | 13.5269 | − | 8.18673i | 0.855517 | − | 0.517774i | ||||
\(251\) | 24.5997 | 1.55272 | 0.776358 | − | 0.630292i | \(-0.217065\pi\) | ||||
0.776358 | + | 0.630292i | \(0.217065\pi\) | |||||||
\(252\) | 4.35643 | − | 0.822146i | 0.274429 | − | 0.0517903i | ||||
\(253\) | −0.780951 | − | 2.40352i | −0.0490979 | − | 0.151108i | ||||
\(254\) | 2.31319 | − | 1.11083i | 0.145143 | − | 0.0696994i | ||||
\(255\) | 2.24590 | − | 13.4740i | 0.140644 | − | 0.843777i | ||||
\(256\) | −10.9542 | − | 11.6621i | −0.684640 | − | 0.728881i | ||||
\(257\) | 2.38653i | 0.148868i | 0.997226 | + | 0.0744339i | \(0.0237150\pi\) | ||||
−0.997226 | + | 0.0744339i | \(0.976285\pi\) | |||||||
\(258\) | 4.61265 | + | 3.82357i | 0.287171 | + | 0.238045i | ||||
\(259\) | −0.534126 | − | 0.735161i | −0.0331890 | − | 0.0456807i | ||||
\(260\) | 21.2113 | + | 0.316224i | 1.31547 | + | 0.0196114i | ||||
\(261\) | 22.7899 | + | 1.83950i | 1.41066 | + | 0.113862i | ||||
\(262\) | −18.1573 | + | 17.3218i | −1.12176 | + | 1.07014i | ||||
\(263\) | 12.4762 | − | 9.06451i | 0.769318 | − | 0.558942i | −0.132436 | − | 0.991191i | \(-0.542280\pi\) |
0.901754 | + | 0.432250i | \(0.142280\pi\) | |||||||
\(264\) | 7.30118 | + | 6.65629i | 0.449357 | + | 0.409666i | ||||
\(265\) | 21.7184 | − | 16.8733i | 1.33415 | − | 1.03652i | ||||
\(266\) | 2.24934 | − | 2.14583i | 0.137916 | − | 0.131569i | ||||
\(267\) | −14.7223 | − | 15.9585i | −0.900990 | − | 0.976644i | ||||
\(268\) | 4.89076 | + | 17.8754i | 0.298751 | + | 1.09191i | ||||
\(269\) | −21.7376 | − | 7.06297i | −1.32536 | − | 0.430637i | −0.441031 | − | 0.897492i | \(-0.645387\pi\) |
−0.884334 | + | 0.466855i | \(0.845387\pi\) | |||||||
\(270\) | 11.0856 | − | 12.1288i | 0.674650 | − | 0.738137i | ||||
\(271\) | −16.1471 | + | 5.24650i | −0.980865 | + | 0.318702i | −0.755194 | − | 0.655501i | \(-0.772457\pi\) |
−0.225671 | + | 0.974204i | \(0.572457\pi\) | |||||||
\(272\) | 9.32905 | − | 10.5831i | 0.565657 | − | 0.641694i | ||||
\(273\) | −5.51562 | + | 2.53605i | −0.333820 | + | 0.153488i | ||||
\(274\) | −0.882696 | − | 6.57096i | −0.0533256 | − | 0.396966i | ||||
\(275\) | −10.0628 | + | 0.648635i | −0.606810 | + | 0.0391142i | ||||
\(276\) | −4.21188 | − | 1.05057i | −0.253526 | − | 0.0632369i | ||||
\(277\) | −12.5971 | − | 9.15236i | −0.756889 | − | 0.549912i | 0.141065 | − | 0.990000i | \(-0.454947\pi\) |
−0.897955 | + | 0.440088i | \(0.854947\pi\) | |||||||
\(278\) | 27.0384 | − | 12.9842i | 1.62166 | − | 0.778740i | ||||
\(279\) | −16.2544 | − | 13.9389i | −0.973124 | − | 0.834500i | ||||
\(280\) | −4.24228 | + | 1.95992i | −0.253525 | + | 0.117128i | ||||
\(281\) | −5.62578 | − | 1.82793i | −0.335606 | − | 0.109045i | 0.136366 | − | 0.990659i | \(-0.456458\pi\) |
−0.471972 | + | 0.881614i | \(0.656458\pi\) | |||||||
\(282\) | 23.1207 | + | 9.18047i | 1.37682 | + | 0.546689i | ||||
\(283\) | 29.2694 | + | 9.51022i | 1.73989 | + | 0.565324i | 0.994819 | − | 0.101664i | \(-0.0324166\pi\) |
0.745069 | + | 0.666988i | \(0.232417\pi\) | |||||||
\(284\) | 17.5190 | − | 21.8687i | 1.03956 | − | 1.29767i | ||||
\(285\) | 1.89441 | − | 11.3653i | 0.112215 | − | 0.673224i | ||||
\(286\) | −11.9064 | − | 6.42412i | −0.704043 | − | 0.379866i | ||||
\(287\) | 1.03918 | − | 0.755007i | 0.0613407 | − | 0.0445666i | ||||
\(288\) | 16.3422 | − | 4.57511i | 0.962975 | − | 0.269591i | ||||
\(289\) | −3.68946 | − | 2.68055i | −0.217027 | − | 0.157680i | ||||
\(290\) | −23.7706 | + | 3.97569i | −1.39586 | + | 0.233461i | ||||
\(291\) | −14.8269 | + | 1.73984i | −0.869168 | + | 0.101991i | ||||
\(292\) | 0.504146 | − | 10.6976i | 0.0295029 | − | 0.626032i | ||||
\(293\) | − | 12.0125i | − | 0.701776i | −0.936417 | − | 0.350888i | \(-0.885880\pi\) | ||
0.936417 | − | 0.350888i | \(-0.114120\pi\) | |||||||
\(294\) | −10.0891 | + | 12.1712i | −0.588408 | + | 0.709839i | ||||
\(295\) | −6.16878 | + | 9.09211i | −0.359160 | + | 0.529363i | ||||
\(296\) | −2.27993 | − | 2.62713i | −0.132518 | − | 0.152699i | ||||
\(297\) | −9.84240 | + | 3.59753i | −0.571114 | + | 0.208750i | ||||
\(298\) | −2.81684 | + | 5.22072i | −0.163175 | + | 0.302428i | ||||
\(299\) | 5.94419 | 0.343761 | ||||||||
\(300\) | −8.21608 | + | 15.2478i | −0.474355 | + | 0.880333i | ||||
\(301\) | 1.80729 | 0.104170 | ||||||||
\(302\) | −1.28306 | + | 2.37802i | −0.0738320 | + | 0.136840i | ||||
\(303\) | −29.9542 | − | 5.98942i | −1.72082 | − | 0.344083i | ||||
\(304\) | 7.86905 | − | 8.92683i | 0.451321 | − | 0.511989i | ||||
\(305\) | 13.5276 | + | 3.91885i | 0.774587 | + | 0.224392i | ||||
\(306\) | 5.37135 | + | 13.9664i | 0.307060 | + | 0.798407i | ||||
\(307\) | 24.1269i | 1.37700i | 0.725239 | + | 0.688498i | \(0.241729\pi\) | ||||
−0.725239 | + | 0.688498i | \(0.758271\pi\) | |||||||
\(308\) | 2.97698 | + | 0.140296i | 0.169629 | + | 0.00799410i | ||||
\(309\) | −1.10733 | − | 9.43668i | −0.0629939 | − | 0.536834i | ||||
\(310\) | 20.1985 | + | 10.0728i | 1.14720 | + | 0.572098i | ||||
\(311\) | −15.0379 | − | 10.9257i | −0.852720 | − | 0.619537i | 0.0731745 | − | 0.997319i | \(-0.476687\pi\) |
−0.925895 | + | 0.377782i | \(0.876687\pi\) | |||||||
\(312\) | −20.1966 | + | 11.4944i | −1.14340 | + | 0.650744i | ||||
\(313\) | −1.95261 | + | 1.41866i | −0.110368 | + | 0.0801872i | −0.641600 | − | 0.767039i | \(-0.721729\pi\) |
0.531232 | + | 0.847226i | \(0.321729\pi\) | |||||||
\(314\) | −25.1087 | − | 13.5474i | −1.41696 | − | 0.764523i | ||||
\(315\) | 0.239588 | − | 4.95082i | 0.0134993 | − | 0.278947i | ||||
\(316\) | −24.2325 | − | 19.4126i | −1.36318 | − | 1.09205i | ||||
\(317\) | 11.1398 | + | 3.61953i | 0.625671 | + | 0.203293i | 0.604657 | − | 0.796486i | \(-0.293310\pi\) |
0.0210145 | + | 0.999779i | \(0.493310\pi\) | |||||||
\(318\) | −11.1183 | + | 28.0011i | −0.623484 | + | 1.57022i | ||||
\(319\) | 14.6180 | + | 4.74967i | 0.818449 | + | 0.265930i | ||||
\(320\) | −15.5309 | + | 8.87646i | −0.868203 | + | 0.496209i | ||||
\(321\) | 2.20388 | − | 11.0220i | 0.123009 | − | 0.615190i | ||||
\(322\) | −1.18039 | + | 0.566840i | −0.0657807 | + | 0.0315887i | ||||
\(323\) | 8.48882 | + | 6.16749i | 0.472331 | + | 0.343168i | ||||
\(324\) | −3.72012 | + | 17.6114i | −0.206673 | + | 0.978410i | ||||
\(325\) | 5.86299 | − | 22.9815i | 0.325220 | − | 1.27478i | ||||
\(326\) | −0.267376 | − | 1.99039i | −0.0148086 | − | 0.110238i | ||||
\(327\) | −6.03448 | − | 13.1243i | −0.333707 | − | 0.725776i | ||||
\(328\) | 3.71355 | − | 3.22277i | 0.205047 | − | 0.177948i | ||||
\(329\) | 7.13676 | − | 2.31887i | 0.393462 | − | 0.127844i | ||||
\(330\) | 9.13737 | − | 6.20687i | 0.502996 | − | 0.341677i | ||||
\(331\) | −10.7215 | − | 3.48361i | −0.589305 | − | 0.191477i | −0.000840117 | − | 1.00000i | \(-0.500267\pi\) |
−0.588465 | + | 0.808523i | \(0.700267\pi\) | |||||||
\(332\) | −5.52500 | + | 1.51166i | −0.303224 | + | 0.0829631i | ||||
\(333\) | 3.58927 | − | 0.854116i | 0.196691 | − | 0.0468053i | ||||
\(334\) | −12.1263 | + | 11.5683i | −0.663520 | + | 0.632987i | ||||
\(335\) | 20.7091 | − | 0.666749i | 1.13146 | − | 0.0364284i | ||||
\(336\) | 2.91451 | − | 4.20851i | 0.158999 | − | 0.229593i | ||||
\(337\) | 27.8332 | − | 20.2220i | 1.51617 | − | 1.10156i | 0.552829 | − | 0.833295i | \(-0.313548\pi\) |
0.963344 | − | 0.268269i | \(-0.0864517\pi\) | |||||||
\(338\) | 9.72199 | − | 9.27462i | 0.528807 | − | 0.504473i | ||||
\(339\) | 6.07367 | − | 2.79263i | 0.329876 | − | 0.151675i | ||||
\(340\) | −9.07996 | − | 12.8975i | −0.492430 | − | 0.699466i | ||||
\(341\) | −8.46087 | − | 11.6454i | −0.458182 | − | 0.630633i | ||||
\(342\) | 4.53073 | + | 11.7807i | 0.244994 | + | 0.637025i | ||||
\(343\) | 9.94103i | 0.536765i | ||||||||
\(344\) | 6.89238 | − | 0.597276i | 0.371612 | − | 0.0322030i | ||||
\(345\) | −2.23825 | + | 4.30637i | −0.120503 | + | 0.231847i | ||||
\(346\) | 0.684062 | − | 0.328495i | 0.0367754 | − | 0.0176600i | ||||
\(347\) | 1.05592 | + | 3.24978i | 0.0566846 | + | 0.174457i | 0.975390 | − | 0.220486i | \(-0.0707643\pi\) |
−0.918706 | + | 0.394943i | \(0.870764\pi\) | |||||||
\(348\) | 20.2261 | − | 16.9684i | 1.08423 | − | 0.909600i | ||||
\(349\) | 8.80176 | 0.471147 | 0.235574 | − | 0.971857i | \(-0.424303\pi\) | ||||
0.235574 | + | 0.971857i | \(0.424303\pi\) | |||||||
\(350\) | 1.02725 | + | 5.12275i | 0.0549091 | + | 0.273822i | ||||
\(351\) | −0.893749 | − | 24.6318i | −0.0477048 | − | 1.31475i | ||||
\(352\) | 11.3996 | − | 0.448799i | 0.607598 | − | 0.0239211i | ||||
\(353\) | −6.16148 | + | 2.00199i | −0.327943 | + | 0.106555i | −0.468361 | − | 0.883537i | \(-0.655155\pi\) |
0.140418 | + | 0.990092i | \(0.455155\pi\) | |||||||
\(354\) | 0.767571 | − | 12.0115i | 0.0407959 | − | 0.638402i | ||||
\(355\) | −19.2202 | − | 24.7392i | −1.02010 | − | 1.31302i | ||||
\(356\) | −25.0433 | − | 1.18021i | −1.32729 | − | 0.0625511i | ||||
\(357\) | 3.93606 | + | 2.20948i | 0.208318 | + | 0.116938i | ||||
\(358\) | 1.83091 | − | 10.0260i | 0.0967664 | − | 0.529890i | ||||
\(359\) | 16.1179 | − | 11.7103i | 0.850668 | − | 0.618046i | −0.0746622 | − | 0.997209i | \(-0.523788\pi\) |
0.925330 | + | 0.379162i | \(0.123788\pi\) | |||||||
\(360\) | −0.722449 | − | 18.9599i | −0.0380764 | − | 0.999275i | ||||
\(361\) | −8.21101 | − | 5.96565i | −0.432159 | − | 0.313982i | ||||
\(362\) | −11.1983 | + | 10.6830i | −0.588570 | + | 0.561486i | ||||
\(363\) | 11.9261 | − | 1.39945i | 0.625957 | − | 0.0734520i | ||||
\(364\) | −2.47760 | + | 6.55740i | −0.129861 | + | 0.343701i | ||||
\(365\) | −11.5007 | − | 3.33169i | −0.601976 | − | 0.174388i | ||||
\(366\) | −14.9471 | + | 3.82207i | −0.781296 | + | 0.199783i | ||||
\(367\) | 18.0898 | + | 5.87772i | 0.944278 | + | 0.306814i | 0.740388 | − | 0.672179i | \(-0.234642\pi\) |
0.203890 | + | 0.978994i | \(0.434642\pi\) | |||||||
\(368\) | −4.31428 | + | 2.55183i | −0.224898 | + | 0.133023i | ||||
\(369\) | 1.20733 | + | 5.07357i | 0.0628508 | + | 0.264120i | ||||
\(370\) | −3.44981 | + | 1.79547i | −0.179347 | + | 0.0933421i | ||||
\(371\) | 2.80835 | + | 8.64321i | 0.145802 | + | 0.448733i | ||||
\(372\) | −24.6650 | + | 1.72237i | −1.27882 | + | 0.0893006i | ||||
\(373\) | 0.455607 | + | 0.331018i | 0.0235904 | + | 0.0171395i | 0.599518 | − | 0.800361i | \(-0.295359\pi\) |
−0.575928 | + | 0.817501i | \(0.695359\pi\) | |||||||
\(374\) | 1.33926 | + | 9.96973i | 0.0692517 | + | 0.515522i | ||||
\(375\) | 14.4417 | + | 12.9011i | 0.745765 | + | 0.666209i | ||||
\(376\) | 26.4508 | − | 11.2020i | 1.36410 | − | 0.577697i | ||||
\(377\) | −21.2496 | + | 29.2476i | −1.09441 | + | 1.50633i | ||||
\(378\) | 2.52638 | + | 4.80614i | 0.129943 | + | 0.247201i | ||||
\(379\) | 14.3712 | − | 4.66948i | 0.738199 | − | 0.239855i | 0.0843032 | − | 0.996440i | \(-0.473134\pi\) |
0.653896 | + | 0.756585i | \(0.273134\pi\) | |||||||
\(380\) | −7.65893 | − | 10.8790i | −0.392895 | − | 0.558083i | ||||
\(381\) | 2.13103 | + | 2.30996i | 0.109176 | + | 0.118343i | ||||
\(382\) | 10.9680 | − | 1.47337i | 0.561173 | − | 0.0753840i | ||||
\(383\) | −2.52352 | + | 7.76661i | −0.128946 | + | 0.396855i | −0.994599 | − | 0.103789i | \(-0.966903\pi\) |
0.865653 | + | 0.500644i | \(0.166903\pi\) | |||||||
\(384\) | 9.72410 | − | 17.0130i | 0.496231 | − | 0.868191i | ||||
\(385\) | 0.927154 | − | 3.20047i | 0.0472522 | − | 0.163111i | ||||
\(386\) | 2.28159 | + | 1.23103i | 0.116130 | + | 0.0626580i | ||||
\(387\) | −2.82164 | + | 6.77367i | −0.143432 | + | 0.344325i | ||||
\(388\) | −10.7776 | + | 13.4535i | −0.547148 | + | 0.682996i | ||||
\(389\) | 2.11053 | − | 2.90489i | 0.107008 | − | 0.147284i | −0.752154 | − | 0.658987i | \(-0.770985\pi\) |
0.859162 | + | 0.511703i | \(0.170985\pi\) | |||||||
\(390\) | 7.24317 | + | 24.9512i | 0.366772 | + | 1.26346i | ||||
\(391\) | −2.59785 | − | 3.57563i | −0.131379 | − | 0.180827i | ||||
\(392\) | 1.57601 | + | 18.1866i | 0.0796005 | + | 0.918564i | ||||
\(393\) | −26.8005 | − | 15.0443i | −1.35191 | − | 0.758883i | ||||
\(394\) | 14.6664 | + | 2.67832i | 0.738882 | + | 0.134932i | ||||
\(395\) | −27.4133 | + | 21.2977i | −1.37931 | + | 1.07160i | ||||
\(396\) | −5.17366 | + | 10.9386i | −0.259986 | + | 0.549686i | ||||
\(397\) | 7.18092 | + | 22.1006i | 0.360400 | + | 1.10920i | 0.952812 | + | 0.303561i | \(0.0981758\pi\) |
−0.592412 | + | 0.805635i | \(0.701824\pi\) | |||||||
\(398\) | 13.3423 | − | 24.7286i | 0.668790 | − | 1.23953i | ||||
\(399\) | 3.32006 | + | 1.86369i | 0.166211 | + | 0.0933012i | ||||
\(400\) | 5.61057 | + | 19.1969i | 0.280529 | + | 0.959846i | ||||
\(401\) | − | 19.9923i | − | 0.998366i | −0.866497 | − | 0.499183i | \(-0.833634\pi\) | ||
0.866497 | − | 0.499183i | \(-0.166366\pi\) | |||||||
\(402\) | −19.1760 | + | 12.1430i | −0.956413 | + | 0.605638i | ||||
\(403\) | 32.1998 | − | 10.4624i | 1.60399 | − | 0.521168i | ||||
\(404\) | −29.4806 | + | 19.3665i | −1.46672 | + | 0.963519i | ||||
\(405\) | 18.1815 | + | 8.62747i | 0.903446 | + | 0.428702i | ||||
\(406\) | 1.43067 | − | 7.83433i | 0.0710031 | − | 0.388811i | ||||
\(407\) | 2.48025 | 0.122941 | ||||||||
\(408\) | 15.7410 | + | 7.12539i | 0.779295 | + | 0.352759i | ||||
\(409\) | 0.968333 | − | 0.703535i | 0.0478810 | − | 0.0347876i | −0.563587 | − | 0.826056i | \(-0.690579\pi\) |
0.611468 | + | 0.791269i | \(0.290579\pi\) | |||||||
\(410\) | −2.53797 | − | 4.87643i | −0.125341 | − | 0.240830i | ||||
\(411\) | 7.37755 | − | 3.39215i | 0.363908 | − | 0.167322i | ||||
\(412\) | −8.56256 | − | 6.85946i | −0.421847 | − | 0.337941i | ||||
\(413\) | −2.13404 | − | 2.93725i | −0.105009 | − | 0.144533i | ||||
\(414\) | −0.281606 | − | 5.30907i | −0.0138402 | − | 0.260926i | ||||
\(415\) | 0.206082 | + | 6.40086i | 0.0101162 | + | 0.314206i | ||||
\(416\) | −7.28161 | + | 25.8265i | −0.357010 | + | 1.26625i | ||||
\(417\) | 24.9091 | + | 27.0006i | 1.21980 | + | 1.32223i | ||||
\(418\) | 1.12967 | + | 8.40945i | 0.0552538 | + | 0.411320i | ||||
\(419\) | −7.01031 | + | 21.5755i | −0.342476 | + | 1.05403i | 0.620445 | + | 0.784250i | \(0.286952\pi\) |
−0.962921 | + | 0.269783i | \(0.913048\pi\) | |||||||
\(420\) | −3.81770 | − | 4.26409i | −0.186285 | − | 0.208066i | ||||
\(421\) | −5.11841 | − | 15.7529i | −0.249456 | − | 0.767747i | −0.994871 | − | 0.101147i | \(-0.967749\pi\) |
0.745415 | − | 0.666600i | \(-0.232251\pi\) | |||||||
\(422\) | −29.3228 | + | 14.0812i | −1.42741 | + | 0.685461i | ||||
\(423\) | −2.45123 | + | 30.3688i | −0.119183 | + | 1.47658i | ||||
\(424\) | 13.5665 | + | 32.0341i | 0.658848 | + | 1.55572i | ||||
\(425\) | −16.3865 | + | 6.51704i | −0.794862 | + | 0.316123i | ||||
\(426\) | 31.8957 | + | 12.6648i | 1.54535 | + | 0.613610i | ||||
\(427\) | −2.73547 | + | 3.76505i | −0.132378 | + | 0.182203i | ||||
\(428\) | −7.12615 | − | 10.8478i | −0.344456 | − | 0.524347i | ||||
\(429\) | 3.24881 | − | 16.2479i | 0.156854 | − | 0.784456i | ||||
\(430\) | 1.14395 | − | 7.64973i | 0.0551660 | − | 0.368903i | ||||
\(431\) | −11.0015 | + | 33.8590i | −0.529921 | + | 1.63093i | 0.224453 | + | 0.974485i | \(0.427941\pi\) |
−0.754374 | + | 0.656445i | \(0.772059\pi\) | |||||||
\(432\) | 11.2231 | + | 17.4941i | 0.539971 | + | 0.841683i | ||||
\(433\) | −6.69518 | + | 20.6056i | −0.321750 | + | 0.990244i | 0.651137 | + | 0.758961i | \(0.274293\pi\) |
−0.972886 | + | 0.231284i | \(0.925707\pi\) | |||||||
\(434\) | −5.39653 | + | 5.14820i | −0.259042 | + | 0.247121i | ||||
\(435\) | −13.1875 | − | 26.4076i | −0.632292 | − | 1.26615i | ||||
\(436\) | −15.6032 | − | 5.89540i | −0.747259 | − | 0.282339i | ||||
\(437\) | −2.19128 | − | 3.01604i | −0.104823 | − | 0.144277i | ||||
\(438\) | 12.7075 | − | 3.24941i | 0.607190 | − | 0.155263i | ||||
\(439\) | −7.99755 | + | 11.0077i | −0.381702 | + | 0.525368i | −0.956035 | − | 0.293254i | \(-0.905262\pi\) |
0.574332 | + | 0.818622i | \(0.305262\pi\) | |||||||
\(440\) | 2.47815 | − | 12.5119i | 0.118141 | − | 0.596482i | ||||
\(441\) | −17.8734 | − | 7.44535i | −0.851115 | − | 0.354540i | ||||
\(442\) | −23.2753 | − | 4.25043i | −1.10709 | − | 0.202173i | ||||
\(443\) | 22.1217 | 1.05104 | 0.525518 | − | 0.850782i | \(-0.323872\pi\) | ||||
0.525518 | + | 0.850782i | \(0.323872\pi\) | |||||||
\(444\) | 2.25794 | − | 3.61269i | 0.107157 | − | 0.171451i | ||||
\(445\) | −7.79952 | + | 26.9234i | −0.369733 | + | 1.27629i | ||||
\(446\) | 24.0915 | − | 11.5691i | 1.14077 | − | 0.547811i | ||||
\(447\) | −7.12436 | − | 1.42453i | −0.336971 | − | 0.0673782i | ||||
\(448\) | −1.01685 | − | 5.82299i | −0.0480415 | − | 0.275110i | ||||
\(449\) | − | 1.26422i | − | 0.0596623i | −0.999555 | − | 0.0298312i | \(-0.990503\pi\) | ||
0.999555 | − | 0.0298312i | \(-0.00949696\pi\) | |||||||
\(450\) | −20.8037 | − | 4.14780i | −0.980698 | − | 0.195529i | ||||
\(451\) | 3.50593i | 0.165088i | ||||||||
\(452\) | 2.72827 | − | 7.22086i | 0.128327 | − | 0.339641i | ||||
\(453\) | −3.24512 | − | 0.648871i | −0.152469 | − | 0.0304866i | ||||
\(454\) | 13.7250 | + | 28.5811i | 0.644146 | + | 1.34138i | ||||
\(455\) | 6.48543 | + | 4.40021i | 0.304041 | + | 0.206285i | ||||
\(456\) | 13.2775 | + | 6.01026i | 0.621776 | + | 0.281456i | ||||
\(457\) | 24.3254 | 1.13789 | 0.568946 | − | 0.822375i | \(-0.307351\pi\) | ||||
0.568946 | + | 0.822375i | \(0.307351\pi\) | |||||||
\(458\) | −5.20486 | + | 28.5016i | −0.243207 | + | 1.33179i | ||||
\(459\) | −14.4263 | + | 11.3027i | −0.673361 | + | 0.527565i | ||||
\(460\) | 1.65212 | + | 5.35505i | 0.0770307 | + | 0.249681i | ||||
\(461\) | 8.55950 | − | 11.7811i | 0.398656 | − | 0.548702i | −0.561750 | − | 0.827307i | \(-0.689872\pi\) |
0.960406 | + | 0.278604i | \(0.0898718\pi\) | |||||||
\(462\) | 0.904259 | + | 3.53631i | 0.0420699 | + | 0.164524i | ||||
\(463\) | 0.519225 | + | 0.714652i | 0.0241304 | + | 0.0332127i | 0.820912 | − | 0.571055i | \(-0.193466\pi\) |
−0.796781 | + | 0.604268i | \(0.793466\pi\) | |||||||
\(464\) | 2.86699 | − | 30.3503i | 0.133097 | − | 1.40898i | ||||
\(465\) | −4.54501 | + | 27.2673i | −0.210770 | + | 1.26449i | ||||
\(466\) | 5.67328 | + | 5.94694i | 0.262809 | + | 0.275486i | ||||
\(467\) | 0.698061 | − | 2.14841i | 0.0323024 | − | 0.0994167i | −0.933605 | − | 0.358303i | \(-0.883355\pi\) |
0.965908 | + | 0.258886i | \(0.0833555\pi\) | |||||||
\(468\) | −20.7088 | − | 19.5238i | −0.957266 | − | 0.902487i | ||||
\(469\) | −2.11574 | + | 6.51157i | −0.0976957 | + | 0.300676i | ||||
\(470\) | −5.29782 | − | 31.6756i | −0.244370 | − | 1.46109i | ||||
\(471\) | 6.85119 | − | 34.2641i | 0.315686 | − | 1.57880i | ||||
\(472\) | −9.10921 | − | 10.4964i | −0.419285 | − | 0.483137i | ||||
\(473\) | −2.89946 | + | 3.99076i | −0.133317 | + | 0.183495i | ||||
\(474\) | 14.0337 | − | 35.3433i | 0.644588 | − | 1.62337i | ||||
\(475\) | −13.8220 | + | 5.49712i | −0.634197 | + | 0.252225i | ||||
\(476\) | 5.02731 | − | 1.37549i | 0.230426 | − | 0.0630454i | ||||
\(477\) | −36.7791 | − | 2.96864i | −1.68400 | − | 0.135925i | ||||
\(478\) | −7.45649 | − | 15.5275i | −0.341052 | − | 0.710210i | ||||
\(479\) | 6.91709 | + | 21.2886i | 0.316050 | + | 0.972702i | 0.975320 | + | 0.220796i | \(0.0708653\pi\) |
−0.659270 | + | 0.751906i | \(0.729135\pi\) | |||||||
\(480\) | −15.9686 | − | 15.0001i | −0.728865 | − | 0.684658i | ||||
\(481\) | −1.80272 | + | 5.54821i | −0.0821971 | + | 0.252977i | ||||
\(482\) | 15.9948 | − | 2.14863i | 0.728543 | − | 0.0978674i | ||||
\(483\) | −1.08743 | − | 1.17874i | −0.0494800 | − | 0.0536347i | ||||
\(484\) | 8.66899 | − | 10.8214i | 0.394045 | − | 0.491881i | ||||
\(485\) | 11.8241 | + | 15.2194i | 0.536906 | + | 0.691077i | ||||
\(486\) | −21.9576 | + | 1.96519i | −0.996019 | + | 0.0891427i | ||||
\(487\) | 0.946906 | + | 1.30330i | 0.0429084 | + | 0.0590584i | 0.829932 | − | 0.557864i | \(-0.188379\pi\) |
−0.787024 | + | 0.616923i | \(0.788379\pi\) | |||||||
\(488\) | −9.18785 | + | 15.2626i | −0.415914 | + | 0.690906i | ||||
\(489\) | 2.23472 | − | 1.02751i | 0.101057 | − | 0.0464656i | ||||
\(490\) | 20.1850 | + | 3.01849i | 0.911867 | + | 0.136361i | ||||
\(491\) | 13.8437 | − | 10.0580i | 0.624757 | − | 0.453912i | −0.229823 | − | 0.973232i | \(-0.573815\pi\) |
0.854580 | + | 0.519320i | \(0.173815\pi\) | |||||||
\(492\) | 5.10668 | + | 3.19169i | 0.230227 | + | 0.143892i | ||||
\(493\) | 26.8803 | 1.21063 | ||||||||
\(494\) | −19.6327 | − | 3.58524i | −0.883315 | − | 0.161307i | ||||
\(495\) | 10.5478 | + | 8.47171i | 0.474087 | + | 0.380775i | ||||
\(496\) | −18.8791 | + | 21.4169i | −0.847698 | + | 0.961648i | ||||
\(497\) | 9.84539 | − | 3.19896i | 0.441626 | − | 0.143493i | ||||
\(498\) | −3.75322 | − | 5.92702i | −0.168186 | − | 0.265596i | ||||
\(499\) | − | 10.7652i | − | 0.481918i | −0.970535 | − | 0.240959i | \(-0.922538\pi\) | ||
0.970535 | − | 0.240959i | \(-0.0774620\pi\) | |||||||
\(500\) | 22.3333 | − | 1.10556i | 0.998777 | − | 0.0494423i | ||||
\(501\) | −17.8986 | − | 10.0472i | −0.799650 | − | 0.448877i | ||||
\(502\) | 30.6169 | + | 16.5194i | 1.36650 | + | 0.737296i | ||||
\(503\) | 2.71748 | + | 8.36356i | 0.121167 | + | 0.372912i | 0.993183 | − | 0.116564i | \(-0.0371880\pi\) |
−0.872017 | + | 0.489476i | \(0.837188\pi\) | |||||||
\(504\) | 5.97414 | + | 1.90222i | 0.266109 | + | 0.0847315i | ||||
\(505\) | 13.3871 | + | 37.0944i | 0.595716 | + | 1.65068i | ||||
\(506\) | 0.642054 | − | 3.51587i | 0.0285428 | − | 0.156299i | ||||
\(507\) | 14.3498 | + | 8.05516i | 0.637299 | + | 0.357742i | ||||
\(508\) | 3.62497 | + | 0.170834i | 0.160832 | + | 0.00757951i | ||||
\(509\) | 15.2010 | + | 20.9223i | 0.673771 | + | 0.927366i | 0.999838 | − | 0.0179806i | \(-0.00572371\pi\) |
−0.326068 | + | 0.945346i | \(0.605724\pi\) | |||||||
\(510\) | 11.8435 | − | 15.2617i | 0.524437 | − | 0.675800i | ||||
\(511\) | 2.32561 | − | 3.20093i | 0.102879 | − | 0.141601i | ||||
\(512\) | −5.80230 | − | 21.8708i | −0.256428 | − | 0.966563i | ||||
\(513\) | −12.1685 | + | 9.53382i | −0.537254 | + | 0.420928i | ||||
\(514\) | −1.60262 | + | 2.97030i | −0.0706887 | + | 0.131014i | ||||
\(515\) | −9.68649 | + | 7.52555i | −0.426838 | + | 0.331615i | ||||
\(516\) | 3.17330 | + | 7.85637i | 0.139697 | + | 0.345857i | ||||
\(517\) | −6.32918 | + | 19.4792i | −0.278357 | + | 0.856695i | ||||
\(518\) | −0.171096 | − | 1.27367i | −0.00751751 | − | 0.0559618i | ||||
\(519\) | 0.630191 | + | 0.683106i | 0.0276623 | + | 0.0299850i | ||||
\(520\) | 26.1874 | + | 14.6376i | 1.14839 | + | 0.641899i | ||||
\(521\) | 15.8802 | − | 5.15978i | 0.695723 | − | 0.226054i | 0.0602569 | − | 0.998183i | \(-0.480808\pi\) |
0.635466 | + | 0.772129i | \(0.280808\pi\) | |||||||
\(522\) | 27.1292 | + | 17.5935i | 1.18741 | + | 0.770048i | ||||
\(523\) | 5.98318 | − | 8.23514i | 0.261626 | − | 0.360097i | −0.657914 | − | 0.753093i | \(-0.728561\pi\) |
0.919540 | + | 0.392995i | \(0.128561\pi\) | |||||||
\(524\) | −34.2308 | + | 9.36567i | −1.49538 | + | 0.409141i | ||||
\(525\) | −5.62985 | + | 3.04161i | −0.245707 | + | 0.132747i | ||||
\(526\) | 21.6151 | − | 2.90362i | 0.942463 | − | 0.126604i | ||||
\(527\) | −20.3661 | − | 14.7968i | −0.887161 | − | 0.644560i | ||||
\(528\) | 4.61722 | + | 13.1874i | 0.200939 | + | 0.573909i | ||||
\(529\) | −6.62214 | − | 20.3809i | −0.287919 | − | 0.886124i | ||||
\(530\) | 38.3618 | − | 6.41610i | 1.66633 | − | 0.278698i | ||||
\(531\) | 14.3405 | − | 3.41253i | 0.622327 | − | 0.148091i | ||||
\(532\) | 4.24053 | − | 1.16022i | 0.183850 | − | 0.0503020i | ||||
\(533\) | −7.84260 | − | 2.54822i | −0.339701 | − | 0.110375i | ||||
\(534\) | −7.60691 | − | 29.7485i | −0.329183 | − | 1.28734i | ||||
\(535\) | −13.6494 | + | 4.92594i | −0.590114 | + | 0.212967i | ||||
\(536\) | −5.91674 | + | 25.5321i | −0.255564 | + | 1.10282i | ||||
\(537\) | 12.3973 | − | 1.45474i | 0.534983 | − | 0.0627767i | ||||
\(538\) | −22.3118 | − | 23.3880i | −0.961930 | − | 1.00833i | ||||
\(539\) | −10.5303 | − | 7.65068i | −0.453570 | − | 0.329538i | ||||
\(540\) | 21.9421 | − | 7.65133i | 0.944239 | − | 0.329261i | ||||
\(541\) | −2.35065 | + | 1.70785i | −0.101062 | + | 0.0734260i | −0.637169 | − | 0.770724i | \(-0.719895\pi\) |
0.536106 | + | 0.844150i | \(0.319895\pi\) | |||||||
\(542\) | −23.6200 | − | 4.31338i | −1.01456 | − | 0.185276i | ||||
\(543\) | −16.5289 | − | 9.27837i | −0.709324 | − | 0.398173i | ||||
\(544\) | 18.7179 | − | 6.90708i | 0.802522 | − | 0.296139i | ||||
\(545\) | −10.4702 | + | 15.4320i | −0.448495 | + | 0.661033i | ||||
\(546\) | −8.56781 | − | 0.547510i | −0.366668 | − | 0.0234313i | ||||
\(547\) | 19.2639 | − | 6.25923i | 0.823666 | − | 0.267625i | 0.133291 | − | 0.991077i | \(-0.457446\pi\) |
0.690375 | + | 0.723452i | \(0.257446\pi\) | |||||||
\(548\) | 3.31397 | − | 8.77102i | 0.141566 | − | 0.374680i | ||||
\(549\) | −9.84054 | − | 16.1307i | −0.419984 | − | 0.688440i | ||||
\(550\) | −12.9598 | − | 5.95016i | −0.552609 | − | 0.253716i | ||||
\(551\) | 22.6735 | 0.965924 | ||||||||
\(552\) | −4.53666 | − | 4.13595i | −0.193093 | − | 0.176038i | ||||
\(553\) | −3.54474 | − | 10.9096i | −0.150737 | − | 0.463922i | ||||
\(554\) | −9.53244 | − | 19.8505i | −0.404995 | − | 0.843365i | ||||
\(555\) | −3.34069 | − | 3.39516i | −0.141805 | − | 0.144116i | ||||
\(556\) | 42.3715 | + | 1.99684i | 1.79695 | + | 0.0846847i | ||||
\(557\) | 0.501584i | 0.0212528i | 0.999944 | + | 0.0106264i | \(0.00338255\pi\) | ||||
−0.999944 | + | 0.0106264i | \(0.996617\pi\) | |||||||
\(558\) | −10.8700 | − | 28.2637i | −0.460162 | − | 1.19650i | ||||
\(559\) | −6.81974 | − | 9.38656i | −0.288444 | − | 0.397009i | ||||
\(560\) | −6.59612 | − | 0.409479i | −0.278737 | − | 0.0173036i | ||||
\(561\) | −11.1935 | + | 5.14671i | −0.472591 | + | 0.217294i | ||||
\(562\) | −5.77438 | − | 6.05292i | −0.243578 | − | 0.255327i | ||||
\(563\) | −4.55684 | + | 3.31074i | −0.192048 | + | 0.139531i | −0.679654 | − | 0.733533i | \(-0.737870\pi\) |
0.487606 | + | 0.873064i | \(0.337870\pi\) | |||||||
\(564\) | 22.6112 | + | 26.9523i | 0.952105 | + | 1.13490i | ||||
\(565\) | −7.14160 | − | 4.84540i | −0.300449 | − | 0.203848i | ||||
\(566\) | 30.0426 | + | 31.4918i | 1.26278 | + | 1.32370i | ||||
\(567\) | −4.72104 | + | 4.68340i | −0.198265 | + | 0.196684i | ||||
\(568\) | 36.4898 | − | 15.4535i | 1.53108 | − | 0.648413i | ||||
\(569\) | 19.3311 | + | 6.28105i | 0.810401 | + | 0.263315i | 0.684768 | − | 0.728762i | \(-0.259904\pi\) |
0.125633 | + | 0.992077i | \(0.459904\pi\) | |||||||
\(570\) | 9.98994 | − | 12.8732i | 0.418433 | − | 0.539200i | ||||
\(571\) | −30.1588 | + | 9.79917i | −1.26210 | + | 0.410083i | −0.862244 | − | 0.506493i | \(-0.830942\pi\) |
−0.399861 | + | 0.916576i | \(0.630942\pi\) | |||||||
\(572\) | −10.5049 | − | 15.9910i | −0.439231 | − | 0.668619i | ||||
\(573\) | 5.66206 | + | 12.3144i | 0.236536 | + | 0.514440i | ||||
\(574\) | 1.80038 | − | 0.241850i | 0.0751463 | − | 0.0100946i | ||||
\(575\) | 6.25262 | − | 0.403036i | 0.260752 | − | 0.0168077i | ||||
\(576\) | 23.4120 | + | 5.28006i | 0.975499 | + | 0.220002i | ||||
\(577\) | −32.6795 | − | 23.7431i | −1.36047 | − | 0.988437i | −0.998415 | − | 0.0562794i | \(-0.982076\pi\) |
−0.362052 | − | 0.932158i | \(-0.617924\pi\) | |||||||
\(578\) | −2.79187 | − | 5.81382i | −0.116126 | − | 0.241823i | ||||
\(579\) | −0.622560 | + | 3.11354i | −0.0258727 | + | 0.129394i | ||||
\(580\) | −32.2549 | − | 11.0145i | −1.33931 | − | 0.457351i | ||||
\(581\) | −2.01263 | − | 0.653942i | −0.0834978 | − | 0.0271301i | ||||
\(582\) | −19.6220 | − | 7.79126i | −0.813359 | − | 0.322958i | ||||
\(583\) | −23.5910 | − | 7.66517i | −0.977038 | − | 0.317459i | ||||
\(584\) | 7.81123 | − | 12.9758i | 0.323231 | − | 0.536943i | ||||
\(585\) | −26.6173 | + | 17.4374i | −1.10049 | + | 0.720947i | ||||
\(586\) | 8.06672 | − | 14.9508i | 0.333233 | − | 0.617613i | ||||
\(587\) | 29.8263 | − | 21.6701i | 1.23106 | − | 0.894421i | 0.234095 | − | 0.972214i | \(-0.424787\pi\) |
0.996970 | + | 0.0777929i | \(0.0247873\pi\) | |||||||
\(588\) | −20.7303 | + | 8.37326i | −0.854903 | + | 0.345308i | ||||
\(589\) | −17.1788 | − | 12.4811i | −0.707839 | − | 0.514275i | ||||
\(590\) | −13.7833 | + | 7.17360i | −0.567450 | + | 0.295333i | ||||
\(591\) | 2.12805 | + | 18.1352i | 0.0875362 | + | 0.745983i | ||||
\(592\) | −1.07342 | − | 4.80079i | −0.0441175 | − | 0.197311i | ||||
\(593\) | − | 3.60378i | − | 0.147989i | −0.997259 | − | 0.0739947i | \(-0.976425\pi\) | ||
0.997259 | − | 0.0739947i | \(-0.0235748\pi\) | |||||||
\(594\) | −14.6658 | − | 2.13194i | −0.601744 | − | 0.0874746i | ||||
\(595\) | −0.187518 | − | 5.82427i | −0.00768748 | − | 0.238772i | ||||
\(596\) | −7.01172 | + | 4.60616i | −0.287211 | + | 0.188676i | ||||
\(597\) | 33.7454 | + | 6.74749i | 1.38111 | + | 0.276156i | ||||
\(598\) | 7.39818 | + | 3.99169i | 0.302534 | + | 0.163232i | ||||
\(599\) | 11.2701 | 0.460484 | 0.230242 | − | 0.973133i | \(-0.426048\pi\) | ||||
0.230242 | + | 0.973133i | \(0.426048\pi\) | |||||||
\(600\) | −20.4651 | + | 13.4602i | −0.835486 | + | 0.549512i | ||||
\(601\) | −26.8415 | −1.09489 | −0.547443 | − | 0.836843i | \(-0.684399\pi\) | ||||
−0.547443 | + | 0.836843i | \(0.684399\pi\) | |||||||
\(602\) | 2.24936 | + | 1.21365i | 0.0916773 | + | 0.0494645i | ||||
\(603\) | −21.1020 | − | 18.0960i | −0.859340 | − | 0.736925i | ||||
\(604\) | −3.19382 | + | 2.09809i | −0.129955 | + | 0.0853702i | ||||
\(605\) | −9.51079 | − | 12.2418i | −0.386669 | − | 0.497700i | ||||
\(606\) | −33.2592 | − | 27.5696i | −1.35106 | − | 1.11994i | ||||
\(607\) | − | 18.6629i | − | 0.757503i | −0.925498 | − | 0.378751i | \(-0.876354\pi\) | ||
0.925498 | − | 0.378751i | \(-0.123646\pi\) | |||||||
\(608\) | 15.7885 | − | 5.82611i | 0.640308 | − | 0.236280i | ||||
\(609\) | 9.68727 | − | 1.13674i | 0.392548 | − | 0.0460629i | ||||
\(610\) | 14.2049 | + | 13.9616i | 0.575140 | + | 0.565288i | ||||
\(611\) | −38.9739 | − | 28.3162i | −1.57672 | − | 1.14555i | ||||
\(612\) | −2.69362 | + | 20.9897i | −0.108883 | + | 0.848460i | ||||
\(613\) | −35.3535 | + | 25.6858i | −1.42791 | + | 1.03744i | −0.437514 | + | 0.899212i | \(0.644141\pi\) |
−0.990400 | + | 0.138229i | \(0.955859\pi\) | |||||||
\(614\) | −16.2019 | + | 30.0285i | −0.653856 | + | 1.21185i | ||||
\(615\) | 4.79918 | − | 4.72220i | 0.193522 | − | 0.190417i | ||||
\(616\) | 3.61096 | + | 2.17374i | 0.145490 | + | 0.0875825i | ||||
\(617\) | 31.8623 | + | 10.3527i | 1.28273 | + | 0.416784i | 0.869540 | − | 0.493862i | \(-0.164415\pi\) |
0.413188 | + | 0.910646i | \(0.364415\pi\) | |||||||
\(618\) | 4.95881 | − | 12.4886i | 0.199472 | − | 0.502364i | ||||
\(619\) | −21.6969 | − | 7.04976i | −0.872074 | − | 0.283354i | −0.161411 | − | 0.986887i | \(-0.551605\pi\) |
−0.710662 | + | 0.703533i | \(0.751605\pi\) | |||||||
\(620\) | 18.3750 | + | 26.1006i | 0.737960 | + | 1.04823i | ||||
\(621\) | 6.11567 | − | 2.23536i | 0.245413 | − | 0.0897018i | ||||
\(622\) | −11.3794 | − | 23.6965i | −0.456272 | − | 0.950145i | ||||
\(623\) | −7.49341 | − | 5.44428i | −0.300217 | − | 0.218121i | ||||
\(624\) | −32.8556 | + | 0.743491i | −1.31528 | + | 0.0297634i | ||||
\(625\) | 4.60898 | − | 24.5715i | 0.184359 | − | 0.982859i | ||||
\(626\) | −3.38291 | + | 0.454436i | −0.135208 | + | 0.0181629i | ||||
\(627\) | −9.44172 | + | 4.34125i | −0.377066 | + | 0.173373i | ||||
\(628\) | −22.1530 | − | 33.7224i | −0.884000 | − | 1.34567i | ||||
\(629\) | 4.12530 | − | 1.34039i | 0.164486 | − | 0.0534449i | ||||
\(630\) | 3.62281 | − | 6.00094i | 0.144336 | − | 0.239083i | ||||
\(631\) | 24.0978 | + | 7.82984i | 0.959317 | + | 0.311701i | 0.746496 | − | 0.665390i | \(-0.231735\pi\) |
0.212821 | + | 0.977091i | \(0.431735\pi\) | |||||||
\(632\) | −17.1238 | − | 40.4339i | −0.681149 | − | 1.60837i | ||||
\(633\) | −27.0136 | − | 29.2818i | −1.07369 | − | 1.16385i | ||||
\(634\) | 11.4340 | + | 11.9856i | 0.454103 | + | 0.476007i | ||||
\(635\) | 1.12897 | − | 3.89711i | 0.0448016 | − | 0.154652i | ||||
\(636\) | −32.6415 | + | 27.3841i | −1.29432 | + | 1.08585i | ||||
\(637\) | 24.7679 | − | 17.9950i | 0.981342 | − | 0.712986i | ||||
\(638\) | 15.0041 | + | 15.7279i | 0.594018 | + | 0.622672i | ||||
\(639\) | −3.38155 | + | 41.8947i | −0.133772 | + | 1.65733i | ||||
\(640\) | −25.2907 | + | 0.618286i | −0.999701 | + | 0.0244399i | ||||
\(641\) | 8.54730 | + | 11.7644i | 0.337598 | + | 0.464664i | 0.943738 | − | 0.330694i | \(-0.107283\pi\) |
−0.606140 | + | 0.795358i | \(0.707283\pi\) | |||||||
\(642\) | 10.1446 | − | 12.2381i | 0.400375 | − | 0.483001i | ||||
\(643\) | 5.27318i | 0.207954i | 0.994580 | + | 0.103977i | \(0.0331568\pi\) | ||||
−0.994580 | + | 0.103977i | \(0.966843\pi\) | |||||||
\(644\) | −1.84978 | − | 0.0871741i | −0.0728914 | − | 0.00343514i | ||||
\(645\) | 9.36819 | − | 1.40623i | 0.368872 | − | 0.0553701i | ||||
\(646\) | 6.42361 | + | 13.3766i | 0.252734 | + | 0.526295i | ||||
\(647\) | 0.604880 | + | 1.86163i | 0.0237803 | + | 0.0731882i | 0.962242 | − | 0.272194i | \(-0.0877493\pi\) |
−0.938462 | + | 0.345382i | \(0.887749\pi\) | |||||||
\(648\) | −16.4566 | + | 19.4211i | −0.646478 | + | 0.762933i | ||||
\(649\) | 9.90956 | 0.388984 | ||||||||
\(650\) | 22.7298 | − | 24.6658i | 0.891538 | − | 0.967472i | ||||
\(651\) | −7.96538 | − | 4.47130i | −0.312188 | − | 0.175244i | ||||
\(652\) | 1.00383 | − | 2.65681i | 0.0393129 | − | 0.104049i | ||||
\(653\) | −34.1296 | + | 11.0894i | −1.33559 | + | 0.433961i | −0.887822 | − | 0.460186i | \(-0.847783\pi\) |
−0.447773 | + | 0.894147i | \(0.647783\pi\) | |||||||
\(654\) | 1.30279 | − | 20.3870i | 0.0509432 | − | 0.797193i | ||||
\(655\) | 1.27680 | + | 39.6573i | 0.0498889 | + | 1.54954i | ||||
\(656\) | 6.78610 | − | 1.51733i | 0.264953 | − | 0.0592416i | ||||
\(657\) | 8.36613 | + | 13.7138i | 0.326394 | + | 0.535027i | ||||
\(658\) | 10.4397 | + | 1.90645i | 0.406980 | + | 0.0743211i | ||||
\(659\) | 9.38919 | − | 6.82165i | 0.365751 | − | 0.265734i | −0.389696 | − | 0.920944i | \(-0.627420\pi\) |
0.755447 | + | 0.655210i | \(0.227420\pi\) | |||||||
\(660\) | 15.5405 | − | 1.58912i | 0.604915 | − | 0.0618563i | ||||
\(661\) | 16.9242 | + | 12.2962i | 0.658276 | + | 0.478266i | 0.866080 | − | 0.499905i | \(-0.166632\pi\) |
−0.207804 | + | 0.978170i | \(0.566632\pi\) | |||||||
\(662\) | −11.0047 | − | 11.5355i | −0.427709 | − | 0.448340i | ||||
\(663\) | −3.37717 | − | 28.7802i | −0.131158 | − | 1.11773i | ||||
\(664\) | −7.89159 | − | 1.82877i | −0.306253 | − | 0.0709702i | ||||
\(665\) | −0.158171 | − | 4.91276i | −0.00613361 | − | 0.190509i | ||||
\(666\) | 5.04080 | + | 1.34726i | 0.195327 | + | 0.0522053i | ||||
\(667\) | −9.08301 | − | 2.95125i | −0.351696 | − | 0.114273i | ||||
\(668\) | −22.8609 | + | 6.25481i | −0.884513 | + | 0.242006i | ||||
\(669\) | 22.1943 | + | 24.0579i | 0.858081 | + | 0.930132i | ||||
\(670\) | 26.2224 | + | 13.0769i | 1.01306 | + | 0.505205i | ||||
\(671\) | −3.92523 | − | 12.0806i | −0.151532 | − | 0.466367i | ||||
\(672\) | 6.45355 | − | 3.28077i | 0.248951 | − | 0.126558i | ||||
\(673\) | 17.4290 | + | 12.6629i | 0.671839 | + | 0.488120i | 0.870640 | − | 0.491920i | \(-0.163705\pi\) |
−0.198801 | + | 0.980040i | \(0.563705\pi\) | |||||||
\(674\) | 48.2211 | − | 6.47769i | 1.85741 | − | 0.249511i | ||||
\(675\) | −2.61024 | − | 25.8493i | −0.100468 | − | 0.994940i | ||||
\(676\) | 18.3282 | − | 5.01467i | 0.704932 | − | 0.192872i | ||||
\(677\) | −10.8376 | + | 14.9166i | −0.416522 | + | 0.573293i | −0.964794 | − | 0.263007i | \(-0.915286\pi\) |
0.548272 | + | 0.836300i | \(0.315286\pi\) | |||||||
\(678\) | 9.43467 | + | 0.602905i | 0.362336 | + | 0.0231544i | ||||
\(679\) | −6.05681 | + | 1.96798i | −0.232439 | + | 0.0755240i | ||||
\(680\) | −2.63995 | − | 22.1498i | −0.101237 | − | 0.849406i | ||||
\(681\) | −28.5412 | + | 26.3303i | −1.09370 | + | 1.00898i | ||||
\(682\) | −2.71026 | − | 20.1757i | −0.103781 | − | 0.772566i | ||||
\(683\) | 7.98951 | − | 24.5892i | 0.305710 | − | 0.940879i | −0.673701 | − | 0.739004i | \(-0.735296\pi\) |
0.979411 | − | 0.201875i | \(-0.0647036\pi\) | |||||||
\(684\) | −2.27207 | + | 17.7048i | −0.0868746 | + | 0.676960i | ||||
\(685\) | −8.67475 | − | 5.88561i | −0.331445 | − | 0.224877i | ||||
\(686\) | −6.67569 | + | 12.3727i | −0.254879 | + | 0.472392i | ||||
\(687\) | −35.2427 | + | 4.13550i | −1.34459 | + | 0.157779i | ||||
\(688\) | 8.97940 | + | 3.88505i | 0.342336 | + | 0.148116i | ||||
\(689\) | 34.2933 | − | 47.2007i | 1.30647 | − | 1.79820i | ||||
\(690\) | −5.67759 | + | 3.85670i | −0.216142 | + | 0.146822i | ||||
\(691\) | 4.33841 | + | 5.97131i | 0.165041 | + | 0.227159i | 0.883525 | − | 0.468384i | \(-0.155164\pi\) |
−0.718484 | + | 0.695544i | \(0.755164\pi\) | |||||||
\(692\) | 1.07198 | + | 0.0505192i | 0.0407507 | + | 0.00192045i | ||||
\(693\) | −3.81633 | + | 2.32816i | −0.144970 | + | 0.0884395i | ||||
\(694\) | −0.868116 | + | 4.75378i | −0.0329532 | + | 0.180451i | ||||
\(695\) | 13.1962 | − | 45.5524i | 0.500561 | − | 1.72790i | ||||
\(696\) | 36.5683 | − | 7.53660i | 1.38612 | − | 0.285674i | ||||
\(697\) | 1.89469 | + | 5.83126i | 0.0717666 | + | 0.220875i | ||||
\(698\) | 10.9547 | + | 5.91063i | 0.414643 | + | 0.223721i | ||||
\(699\) | −4.92734 | + | 8.77778i | −0.186369 | + | 0.332006i | ||||
\(700\) | −2.16154 | + | 7.06564i | −0.0816986 | + | 0.267056i | ||||
\(701\) | 28.4071i | 1.07292i | 0.843925 | + | 0.536462i | \(0.180239\pi\) | ||||
−0.843925 | + | 0.536462i | \(0.819761\pi\) | |||||||
\(702\) | 15.4286 | − | 31.2571i | 0.582315 | − | 1.17972i | ||||
\(703\) | 3.47968 | − | 1.13062i | 0.131239 | − | 0.0426420i | ||||
\(704\) | 14.4894 | + | 7.09655i | 0.546088 | + | 0.267461i | ||||
\(705\) | 35.1896 | − | 17.5730i | 1.32532 | − | 0.661839i | ||||
\(706\) | −9.01302 | − | 1.64592i | −0.339210 | − | 0.0619451i | ||||
\(707\) | −13.0313 | −0.490093 | ||||||||
\(708\) | 9.02136 | − | 14.4341i | 0.339044 | − | 0.542467i | ||||
\(709\) | −15.0277 | + | 10.9183i | −0.564378 | + | 0.410044i | −0.833058 | − | 0.553185i | \(-0.813412\pi\) |
0.268681 | + | 0.963229i | \(0.413412\pi\) | |||||||
\(710\) | −7.30852 | − | 43.6976i | −0.274284 | − | 1.63994i | ||||
\(711\) | 46.4231 | + | 3.74706i | 1.74100 | + | 0.140526i | ||||
\(712\) | −30.3766 | − | 18.2862i | −1.13841 | − | 0.685304i | ||||
\(713\) | 5.25724 | + | 7.23597i | 0.196885 | + | 0.270989i | ||||
\(714\) | 3.41513 | + | 5.39311i | 0.127808 | + | 0.201832i | ||||
\(715\) | −20.1210 | + | 7.26147i | −0.752481 | + | 0.271564i | ||||
\(716\) | 9.01150 | − | 11.2489i | 0.336776 | − | 0.420392i | ||||
\(717\) | 15.5058 | − | 14.3047i | 0.579074 | − | 0.534217i | ||||
\(718\) | 27.9242 | − | 3.75114i | 1.04212 | − | 0.139991i | ||||
\(719\) | −3.98890 | + | 12.2766i | −0.148761 | + | 0.457839i | −0.997475 | − | 0.0710123i | \(-0.977377\pi\) |
0.848715 | + | 0.528851i | \(0.177377\pi\) | |||||||
\(720\) | 11.8330 | − | 24.0828i | 0.440988 | − | 0.897513i | ||||
\(721\) | −1.25253 | − | 3.85490i | −0.0466468 | − | 0.143564i | ||||
\(722\) | −6.21339 | − | 12.9388i | −0.231238 | − | 0.481533i | ||||
\(723\) | 8.25706 | + | 17.9582i | 0.307083 | + | 0.667872i | ||||
\(724\) | −21.1115 | + | 5.77616i | −0.784601 | + | 0.214669i | ||||
\(725\) | −20.3691 | + | 32.2059i | −0.756489 | + | 1.19610i | ||||
\(726\) | 15.7831 | + | 6.26694i | 0.585765 | + | 0.232588i | ||||
\(727\) | 24.2110 | − | 33.3236i | 0.897936 | − | 1.23590i | −0.0731863 | − | 0.997318i | \(-0.523317\pi\) |
0.971122 | − | 0.238584i | \(-0.0766832\pi\) | |||||||
\(728\) | −7.48712 | + | 6.49762i | −0.277491 | + | 0.240818i | ||||
\(729\) | −10.1825 | − | 25.0063i | −0.377131 | − | 0.926160i | ||||
\(730\) | −12.0766 | − | 11.8697i | −0.446975 | − | 0.439318i | ||||
\(731\) | −2.66584 | + | 8.20460i | −0.0985996 | + | 0.303458i | ||||
\(732\) | −21.1699 | − | 5.28040i | −0.782461 | − | 0.195169i | ||||
\(733\) | −9.15431 | + | 28.1741i | −0.338122 | + | 1.04063i | 0.627041 | + | 0.778986i | \(0.284266\pi\) |
−0.965164 | + | 0.261647i | \(0.915734\pi\) | |||||||
\(734\) | 18.5676 | + | 19.4632i | 0.685343 | + | 0.718402i | ||||
\(735\) | 3.71055 | + | 24.7195i | 0.136866 | + | 0.911791i | ||||
\(736\) | −7.08322 | + | 0.278865i | −0.261091 | + | 0.0102791i | ||||
\(737\) | −10.9842 | − | 15.1185i | −0.404608 | − | 0.556896i | ||||
\(738\) | −1.90440 | + | 7.12536i | −0.0701020 | + | 0.262288i | ||||
\(739\) | 16.9992 | − | 23.3974i | 0.625326 | − | 0.860688i | −0.372401 | − | 0.928072i | \(-0.621465\pi\) |
0.997727 | + | 0.0673842i | \(0.0214653\pi\) | |||||||
\(740\) | −5.49937 | − | 0.0819862i | −0.202161 | − | 0.00301387i | ||||
\(741\) | −2.84864 | − | 24.2761i | −0.104647 | − | 0.891804i | ||||
\(742\) | −2.30887 | + | 12.6433i | −0.0847612 | + | 0.464150i | ||||
\(743\) | −5.79856 | −0.212729 | −0.106364 | − | 0.994327i | \(-0.533921\pi\) | ||||
−0.106364 | + | 0.994327i | \(0.533921\pi\) | |||||||
\(744\) | −31.8549 | − | 14.4196i | −1.16786 | − | 0.528648i | ||||
\(745\) | 3.18400 | + | 8.82261i | 0.116653 | + | 0.323235i | ||||
\(746\) | 0.344764 | + | 0.717941i | 0.0126227 | + | 0.0262857i | ||||
\(747\) | 5.59319 | − | 6.52231i | 0.204644 | − | 0.238639i | ||||
\(748\) | −5.02810 | + | 13.3078i | −0.183845 | + | 0.486580i | ||||
\(749\) | − | 4.79504i | − | 0.175207i | ||||||
\(750\) | 9.31078 | + | 25.7548i | 0.339982 | + | 0.940432i | ||||
\(751\) | − | 16.7726i | − | 0.612040i | −0.952025 | − | 0.306020i | \(-0.901003\pi\) | ||
0.952025 | − | 0.306020i | \(-0.0989974\pi\) | |||||||
\(752\) | 40.4433 | + | 3.82042i | 1.47482 | + | 0.139316i | ||||
\(753\) | −8.35418 | + | 41.7808i | −0.304443 | + | 1.52258i | ||||
\(754\) | −46.0880 | + | 22.1320i | −1.67843 | + | 0.806001i | ||||
\(755\) | 1.45030 | + | 4.01867i | 0.0527819 | + | 0.146254i | ||||
\(756\) | −0.0831102 | + | 7.67830i | −0.00302269 | + | 0.279257i | ||||
\(757\) | −2.93848 | −0.106801 | −0.0534005 | − | 0.998573i | \(-0.517006\pi\) | ||||
−0.0534005 | + | 0.998573i | \(0.517006\pi\) | |||||||
\(758\) | 21.0222 | + | 3.83899i | 0.763561 | + | 0.139438i | ||||
\(759\) | 4.34743 | − | 0.510142i | 0.157802 | − | 0.0185170i | ||||
\(760\) | −2.22679 | − | 18.6833i | −0.0807742 | − | 0.677715i | ||||
\(761\) | 25.3962 | − | 34.9549i | 0.920611 | − | 1.26711i | −0.0427993 | − | 0.999084i | \(-0.513628\pi\) |
0.963411 | − | 0.268029i | \(-0.0863724\pi\) | |||||||
\(762\) | 1.10109 | + | 4.30604i | 0.0398881 | + | 0.155991i | ||||
\(763\) | −3.62209 | − | 4.98538i | −0.131128 | − | 0.180483i | ||||
\(764\) | 14.6403 | + | 5.53157i | 0.529667 | + | 0.200125i | ||||
\(765\) | 22.1220 | + | 8.39037i | 0.799822 | + | 0.303354i | ||||
\(766\) | −8.35630 | + | 7.97177i | −0.301925 | + | 0.288032i | ||||
\(767\) | −7.20258 | + | 22.1672i | −0.260070 | + | 0.800413i | ||||
\(768\) | 23.5274 | − | 14.6445i | 0.848972 | − | 0.528438i | ||||
\(769\) | 9.36897 | − | 28.8347i | 0.337854 | − | 1.03981i | −0.627445 | − | 0.778661i | \(-0.715899\pi\) |
0.965299 | − | 0.261147i | \(-0.0841006\pi\) | |||||||
\(770\) | 3.30315 | − | 3.36072i | 0.119037 | − | 0.121112i | ||||
\(771\) | −4.05336 | − | 0.810480i | −0.145978 | − | 0.0291887i | ||||
\(772\) | 2.01302 | + | 3.06431i | 0.0724500 | + | 0.110287i | ||||
\(773\) | −2.56875 | + | 3.53558i | −0.0923916 | + | 0.127166i | −0.852710 | − | 0.522384i | \(-0.825043\pi\) |
0.760319 | + | 0.649550i | \(0.225043\pi\) | |||||||
\(774\) | −8.06055 | + | 6.53576i | −0.289731 | + | 0.234923i | ||||
\(775\) | 33.1612 | − | 13.1885i | 1.19119 | − | 0.473745i | ||||
\(776\) | −22.4482 | + | 9.50686i | −0.805844 | + | 0.341276i | ||||
\(777\) | 1.43001 | − | 0.657511i | 0.0513014 | − | 0.0235881i | ||||
\(778\) | 4.57750 | − | 2.19817i | 0.164111 | − | 0.0788084i | ||||
\(779\) | 1.59817 | + | 4.91866i | 0.0572604 | + | 0.176229i | ||||
\(780\) | −7.74056 | + | 35.9185i | −0.277157 | + | 1.28609i | ||||
\(781\) | −8.73131 | + | 26.8722i | −0.312431 | + | 0.961564i | ||||
\(782\) | −0.832164 | − | 6.19478i | −0.0297581 | − | 0.221525i | ||||
\(783\) | −10.8638 | + | 38.0824i | −0.388242 | + | 1.36095i | ||||
\(784\) | −10.2513 | + | 23.6936i | −0.366119 | + | 0.846199i | ||||
\(785\) | −42.4317 | + | 15.3132i | −1.51445 | + | 0.546552i | ||||
\(786\) | −23.2535 | − | 36.7215i | −0.829425 | − | 1.30981i | ||||
\(787\) | 31.3923 | + | 43.2077i | 1.11901 | + | 1.54019i | 0.807423 | + | 0.589972i | \(0.200861\pi\) |
0.311590 | + | 0.950217i | \(0.399139\pi\) | |||||||
\(788\) | 16.4553 | + | 13.1824i | 0.586197 | + | 0.469602i | ||||
\(789\) | 11.1585 | + | 24.2684i | 0.397251 | + | 0.863977i | ||||
\(790\) | −48.4208 | + | 8.09849i | −1.72273 | + | 0.288131i | ||||
\(791\) | 2.30713 | − | 1.67623i | 0.0820321 | − | 0.0595998i | ||||
\(792\) | −13.7848 | + | 10.1400i | −0.489821 | + | 0.360311i | ||||
\(793\) | 29.8768 | 1.06096 | ||||||||
\(794\) | −5.90375 | + | 32.3288i | −0.209516 | + | 1.14730i | ||||
\(795\) | 21.2824 | + | 42.6175i | 0.754810 | + | 1.51149i | ||||
\(796\) | 33.2119 | − | 21.8177i | 1.17717 | − | 0.773307i | ||||
\(797\) | 32.3917 | − | 10.5247i | 1.14737 | − | 0.372804i | 0.327219 | − | 0.944949i | \(-0.393889\pi\) |
0.820153 | + | 0.572145i | \(0.193889\pi\) | |||||||
\(798\) | 2.88066 | + | 4.54908i | 0.101974 | + | 0.161036i | ||||
\(799\) | 35.8194i | 1.26720i | ||||||||
\(800\) | −5.90831 | + | 27.6603i | −0.208890 | + | 0.977939i | ||||
\(801\) | 32.1042 | − | 19.5852i | 1.13435 | − | 0.692010i | ||||
\(802\) | 13.4254 | − | 24.8825i | 0.474066 | − | 0.878633i | ||||
\(803\) | 3.33712 | + | 10.2706i | 0.117764 | + | 0.362441i | ||||
\(804\) | −32.0210 | + | 2.23604i | −1.12929 | + | 0.0788590i | ||||
\(805\) | −0.576096 | + | 1.98864i | −0.0203047 | + | 0.0700904i | ||||
\(806\) | 47.1020 | + | 8.60157i | 1.65910 | + | 0.302977i | ||||
\(807\) | 19.3782 | − | 34.5212i | 0.682144 | − | 1.21520i | ||||
\(808\) | −49.6970 | + | 4.30662i | −1.74833 | + | 0.151506i | ||||
\(809\) | −20.9478 | − | 28.8322i | −0.736486 | − | 1.01369i | −0.998813 | − | 0.0487074i | \(-0.984490\pi\) |
0.262327 | − | 0.964979i | \(-0.415510\pi\) | |||||||
\(810\) | 16.8352 | + | 22.9472i | 0.591530 | + | 0.806283i | ||||
\(811\) | −19.5132 | + | 26.8576i | −0.685202 | + | 0.943099i | −0.999982 | − | 0.00606532i | \(-0.998069\pi\) |
0.314780 | + | 0.949165i | \(0.398069\pi\) | |||||||
\(812\) | 7.04160 | − | 8.78993i | 0.247112 | − | 0.308466i | ||||
\(813\) | −3.42718 | − | 29.2064i | −0.120197 | − | 1.02431i | ||||
\(814\) | 3.08694 | + | 1.66556i | 0.108197 | + | 0.0583778i | ||||
\(815\) | −2.62765 | − | 1.78280i | −0.0920425 | − | 0.0624486i | ||||
\(816\) | 14.8065 | + | 19.4388i | 0.518330 | + | 0.680495i | ||||
\(817\) | −2.24863 | + | 6.92057i | −0.0786696 | + | 0.242120i | ||||
\(818\) | 1.67764 | − | 0.225362i | 0.0586573 | − | 0.00787961i | ||||
\(819\) | −2.43416 | − | 10.2291i | −0.0850565 | − | 0.357435i | ||||
\(820\) | 0.115891 | − | 7.77357i | 0.00404708 | − | 0.271465i | ||||
\(821\) | −13.3123 | + | 4.32543i | −0.464603 | + | 0.150959i | −0.531959 | − | 0.846770i | \(-0.678544\pi\) |
0.0673557 | + | 0.997729i | \(0.478544\pi\) | |||||||
\(822\) | 11.4601 | + | 0.732336i | 0.399716 | + | 0.0255432i | ||||
\(823\) | 6.65631 | − | 9.16163i | 0.232025 | − | 0.319354i | −0.677090 | − | 0.735900i | \(-0.736759\pi\) |
0.909115 | + | 0.416546i | \(0.136759\pi\) | |||||||
\(824\) | −6.05071 | − | 14.2873i | −0.210787 | − | 0.497723i | ||||
\(825\) | 2.31572 | − | 17.3113i | 0.0806231 | − | 0.602700i | ||||
\(826\) | −0.683594 | − | 5.08880i | −0.0237853 | − | 0.177062i | ||||
\(827\) | −6.50741 | − | 4.72791i | −0.226285 | − | 0.164405i | 0.468866 | − | 0.883269i | \(-0.344663\pi\) |
−0.695151 | + | 0.718864i | \(0.744663\pi\) | |||||||
\(828\) | 3.21470 | − | 6.79682i | 0.111719 | − | 0.236206i | ||||
\(829\) | −2.10626 | − | 6.48242i | −0.0731536 | − | 0.225144i | 0.907794 | − | 0.419416i | \(-0.137765\pi\) |
−0.980948 | + | 0.194273i | \(0.937765\pi\) | |||||||
\(830\) | −4.04187 | + | 8.10495i | −0.140295 | + | 0.281327i | ||||
\(831\) | 19.8227 | − | 18.2872i | 0.687643 | − | 0.634376i | ||||
\(832\) | −26.4060 | + | 27.2541i | −0.915463 | + | 0.944865i | ||||
\(833\) | −21.6492 | − | 7.03424i | −0.750099 | − | 0.243722i | ||||
\(834\) | 12.8703 | + | 50.3324i | 0.445664 | + | 1.74287i | ||||
\(835\) | 0.852707 | + | 26.4849i | 0.0295091 | + | 0.916548i | ||||
\(836\) | −4.24119 | + | 11.2251i | −0.146685 | + | 0.388227i | ||||
\(837\) | 29.1943 | − | 22.8732i | 1.00910 | − | 0.790614i | ||||
\(838\) | −23.2137 | + | 22.1454i | −0.801902 | + | 0.765001i | ||||
\(839\) | 15.0054 | + | 10.9021i | 0.518044 | + | 0.376381i | 0.815866 | − | 0.578240i | \(-0.196260\pi\) |
−0.297823 | + | 0.954621i | \(0.596260\pi\) | |||||||
\(840\) | −1.88809 | − | 7.87082i | −0.0651452 | − | 0.271569i | ||||
\(841\) | 23.5302 | − | 17.0957i | 0.811385 | − | 0.589506i | ||||
\(842\) | 4.20807 | − | 23.0433i | 0.145020 | − | 0.794125i | ||||
\(843\) | 5.01515 | − | 8.93422i | 0.172731 | − | 0.307711i | ||||
\(844\) | −45.9513 | − | 2.16554i | −1.58171 | − | 0.0745410i | ||||
\(845\) | −0.683641 | − | 21.2337i | −0.0235180 | − | 0.730463i | ||||
\(846\) | −23.4443 | + | 36.1511i | −0.806032 | + | 1.24290i | ||||
\(847\) | 4.87183 | − | 1.58295i | 0.167398 | − | 0.0543909i | ||||
\(848\) | −4.62685 | + | 48.9802i | −0.158887 | + | 1.68199i | ||||
\(849\) | −26.0925 | + | 46.4824i | −0.895493 | + | 1.59527i | ||||
\(850\) | −24.7712 | − | 2.89284i | −0.849644 | − | 0.0992236i | ||||
\(851\) | −1.54113 | −0.0528291 | ||||||||
\(852\) | 31.1930 | + | 37.1816i | 1.06865 | + | 1.27382i | ||||
\(853\) | −16.4758 | − | 50.7073i | −0.564121 | − | 1.73619i | −0.670548 | − | 0.741866i | \(-0.733941\pi\) |
0.106427 | − | 0.994320i | \(-0.466059\pi\) | |||||||
\(854\) | −5.93292 | + | 2.84906i | −0.203020 | + | 0.0974929i | ||||
\(855\) | 18.6599 | + | 7.07726i | 0.638154 | + | 0.242037i | ||||
\(856\) | −1.58468 | − | 18.2867i | −0.0541631 | − | 0.625025i | ||||
\(857\) | − | 30.1725i | − | 1.03067i | −0.856987 | − | 0.515337i | \(-0.827667\pi\) | ||
0.856987 | − | 0.515337i | \(-0.172333\pi\) | |||||||
\(858\) | 14.9544 | − | 18.0406i | 0.510536 | − | 0.615896i | ||||
\(859\) | −5.25931 | − | 7.23882i | −0.179445 | − | 0.246985i | 0.709813 | − | 0.704390i | \(-0.248779\pi\) |
−0.889259 | + | 0.457404i | \(0.848779\pi\) | |||||||
\(860\) | 6.56078 | − | 8.75272i | 0.223721 | − | 0.298465i | ||||
\(861\) | 0.929416 | + | 2.02138i | 0.0316744 | + | 0.0688883i | ||||
\(862\) | −36.4298 | + | 34.7534i | −1.24080 | + | 1.18370i | ||||
\(863\) | −44.8698 | + | 32.5998i | −1.52738 | + | 1.10971i | −0.569714 | + | 0.821843i | \(0.692946\pi\) |
−0.957670 | + | 0.287867i | \(0.907054\pi\) | |||||||
\(864\) | 2.22059 | + | 29.3099i | 0.0755459 | + | 0.997142i | ||||
\(865\) | 0.333860 | − | 1.15246i | 0.0113516 | − | 0.0391848i | ||||
\(866\) | −22.1702 | + | 21.1499i | −0.753373 | + | 0.718705i | ||||
\(867\) | 5.80570 | − | 5.35597i | 0.197172 | − | 0.181898i | ||||
\(868\) | −10.1737 | + | 2.78357i | −0.345319 | + | 0.0944804i | ||||
\(869\) | 29.7768 | + | 9.67508i | 1.01011 | + | 0.328204i | ||||
\(870\) | 1.32020 | − | 41.7229i | 0.0447591 | − | 1.41454i | ||||
\(871\) | 41.8030 | − | 13.5826i | 1.41644 | − | 0.460229i | ||||
\(872\) | −15.4610 | − | 17.8155i | −0.523575 | − | 0.603308i | ||||
\(873\) | 2.08030 | − | 25.7733i | 0.0704076 | − | 0.872294i | ||||
\(874\) | −0.701929 | − | 5.22529i | −0.0237431 | − | 0.176748i | ||||
\(875\) | 7.12029 | + | 4.18879i | 0.240710 | + | 0.141607i | ||||
\(876\) | 17.9980 | + | 4.48924i | 0.608096 | + | 0.151677i | ||||
\(877\) | −23.9884 | − | 17.4286i | −0.810029 | − | 0.588521i | 0.103810 | − | 0.994597i | \(-0.466897\pi\) |
−0.913839 | + | 0.406077i | \(0.866897\pi\) | |||||||
\(878\) | −17.3458 | + | 8.32967i | −0.585392 | + | 0.281113i | ||||
\(879\) | 20.4024 | + | 4.07951i | 0.688154 | + | 0.137598i | ||||
\(880\) | 11.4864 | − | 13.9083i | 0.387207 | − | 0.468848i | ||||
\(881\) | 9.84672 | + | 3.19939i | 0.331745 | + | 0.107790i | 0.470153 | − | 0.882585i | \(-0.344199\pi\) |
−0.138409 | + | 0.990375i | \(0.544199\pi\) | |||||||
\(882\) | −17.2456 | − | 21.2690i | −0.580691 | − | 0.716166i | ||||
\(883\) | −16.8715 | − | 5.48190i | −0.567773 | − | 0.184481i | 0.0110429 | − | 0.999939i | \(-0.496485\pi\) |
−0.578816 | + | 0.815458i | \(0.696485\pi\) | |||||||
\(884\) | −26.1143 | − | 20.9201i | −0.878319 | − | 0.703620i | ||||
\(885\) | −13.3474 | − | 13.5650i | −0.448667 | − | 0.455982i | ||||
\(886\) | 27.5329 | + | 14.8554i | 0.924986 | + | 0.499076i | ||||
\(887\) | −11.1016 | + | 8.06579i | −0.372755 | + | 0.270823i | −0.758353 | − | 0.651845i | \(-0.773995\pi\) |
0.385597 | + | 0.922667i | \(0.373995\pi\) | |||||||
\(888\) | 5.23628 | − | 2.98011i | 0.175718 | − | 0.100006i | ||||
\(889\) | 1.08466 | + | 0.788050i | 0.0363782 | + | 0.0264303i | ||||
\(890\) | −27.7871 | + | 28.2714i | −0.931427 | + | 0.947661i | ||||
\(891\) | −2.76762 | − | 17.9384i | −0.0927187 | − | 0.600958i | ||||
\(892\) | 37.7535 | + | 1.77920i | 1.26408 | + | 0.0595722i | ||||
\(893\) | 30.2137i | 1.01106i | ||||||||
\(894\) | −7.91042 | − | 6.55720i | −0.264564 | − | 0.219305i | ||||
\(895\) | −9.88657 | − | 12.7255i | −0.330471 | − | 0.425366i | ||||
\(896\) | 2.64473 | − | 7.93018i | 0.0883541 | − | 0.264929i | ||||
\(897\) | −2.01868 | + | 10.0958i | −0.0674018 | + | 0.337089i | ||||
\(898\) | 0.848961 | − | 1.57346i | 0.0283302 | − | 0.0525071i | ||||
\(899\) | −54.3975 | −1.81426 | ||||||||
\(900\) | −23.1071 | − | 19.1327i | −0.770238 | − | 0.637756i | ||||
\(901\) | −43.3803 | −1.44521 | ||||||||
\(902\) | −2.35433 | + | 4.36350i | −0.0783906 | + | 0.145289i | ||||
\(903\) | −0.613765 | + | 3.06955i | −0.0204248 | + | 0.102148i | ||||
\(904\) | 8.24464 | − | 7.15503i | 0.274213 | − | 0.237973i | ||||
\(905\) | 0.787454 | + | 24.4582i | 0.0261759 | + | 0.813017i | ||||
\(906\) | −3.60317 | − | 2.98678i | −0.119707 | − | 0.0992292i | ||||
\(907\) | − | 23.3088i | − | 0.773956i | −0.922089 | − | 0.386978i | \(-0.873519\pi\) | ||
0.922089 | − | 0.386978i | \(-0.126481\pi\) | |||||||
\(908\) | −2.11077 | + | 44.7890i | −0.0700482 | + | 1.48637i | ||||
\(909\) | 20.3452 | − | 48.8411i | 0.674809 | − | 1.61996i | ||||
\(910\) | 5.11695 | + | 9.83168i | 0.169625 | + | 0.325917i | ||||
\(911\) | 0.799588 | + | 0.580935i | 0.0264915 | + | 0.0192472i | 0.600952 | − | 0.799285i | \(-0.294788\pi\) |
−0.574461 | + | 0.818532i | \(0.694788\pi\) | |||||||
\(912\) | 12.4892 | + | 16.3966i | 0.413560 | + | 0.542947i | ||||
\(913\) | 4.67289 | − | 3.39505i | 0.154650 | − | 0.112360i | ||||
\(914\) | 30.2755 | + | 16.3352i | 1.00143 | + | 0.540319i | ||||
\(915\) | −11.2499 | + | 21.6448i | −0.371911 | + | 0.715555i | ||||
\(916\) | −25.6177 | + | 31.9782i | −0.846432 | + | 1.05659i | ||||
\(917\) | −12.4695 | − | 4.05158i | −0.411778 | − | 0.133795i | ||||
\(918\) | −25.5451 | + | 4.37979i | −0.843115 | + | 0.144555i | ||||
\(919\) | −16.5427 | − | 5.37504i | −0.545692 | − | 0.177306i | 0.0231812 | − | 0.999731i | \(-0.492621\pi\) |
−0.568873 | + | 0.822425i | \(0.692621\pi\) | |||||||
\(920\) | −1.53982 | + | 7.77439i | −0.0507665 | + | 0.256314i | ||||
\(921\) | −40.9779 | − | 8.19364i | −1.35027 | − | 0.269990i | ||||
\(922\) | 18.5646 | − | 8.91496i | 0.611392 | − | 0.293598i | ||||
\(923\) | −53.7658 | − | 39.0631i | −1.76972 | − | 1.28578i | ||||
\(924\) | −1.24928 | + | 5.00855i | −0.0410984 | + | 0.164769i | ||||
\(925\) | −1.52007 | + | 5.95832i | −0.0499797 | + | 0.195908i | ||||
\(926\) | 0.166322 | + | 1.23814i | 0.00546570 | + | 0.0406877i | ||||
\(927\) | 16.4036 | + | 1.32402i | 0.538765 | + | 0.0434867i | ||||
\(928\) | 23.9494 | − | 35.8489i | 0.786176 | − | 1.17680i | ||||
\(929\) | −7.16511 | + | 2.32809i | −0.235080 | + | 0.0763820i | −0.424188 | − | 0.905574i | \(-0.639440\pi\) |
0.189108 | + | 0.981956i | \(0.439440\pi\) | |||||||
\(930\) | −23.9675 | + | 30.8850i | −0.785926 | + | 1.01276i | ||||
\(931\) | −18.2610 | − | 5.93337i | −0.598481 | − | 0.194458i | ||||
\(932\) | 3.06747 | + | 11.2114i | 0.100478 | + | 0.367241i | ||||
\(933\) | 23.6634 | − | 21.8304i | 0.774706 | − | 0.714695i | ||||
\(934\) | 2.31153 | − | 2.20516i | 0.0756357 | − | 0.0721551i | ||||
\(935\) | 13.1617 | + | 8.92988i | 0.430433 | + | 0.292038i | ||||
\(936\) | −12.6636 | − | 38.2060i | −0.413923 | − | 1.24880i | ||||
\(937\) | 23.9839 | − | 17.4253i | 0.783520 | − | 0.569261i | −0.122513 | − | 0.992467i | \(-0.539095\pi\) |
0.906034 | + | 0.423206i | \(0.139095\pi\) | |||||||
\(938\) | −7.00597 | + | 6.68358i | −0.228753 | + | 0.218227i | ||||
\(939\) | −1.74637 | − | 3.79816i | −0.0569907 | − | 0.123948i | ||||
\(940\) | 14.6774 | − | 42.9814i | 0.478723 | − | 1.40190i | ||||
\(941\) | −17.3787 | − | 23.9197i | −0.566528 | − | 0.779759i | 0.425610 | − | 0.904907i | \(-0.360060\pi\) |
−0.992138 | + | 0.125148i | \(0.960060\pi\) | |||||||
\(942\) | 31.5363 | − | 38.0445i | 1.02751 | − | 1.23956i | ||||
\(943\) | − | 2.17844i | − | 0.0709398i | ||||||
\(944\) | −4.28875 | − | 19.1810i | −0.139587 | − | 0.624289i | ||||
\(945\) | 8.32726 | + | 2.08825i | 0.270886 | + | 0.0679308i | ||||
\(946\) | −6.28859 | + | 3.01986i | −0.204460 | + | 0.0981842i | ||||
\(947\) | 0.728909 | + | 2.24335i | 0.0236864 | + | 0.0728991i | 0.962201 | − | 0.272340i | \(-0.0877977\pi\) |
−0.938515 | + | 0.345240i | \(0.887798\pi\) | |||||||
\(948\) | 41.2005 | − | 34.5646i | 1.33813 | − | 1.12261i | ||||
\(949\) | −25.4004 | −0.824531 | ||||||||
\(950\) | −20.8944 | − | 2.44011i | −0.677905 | − | 0.0791675i | ||||
\(951\) | −9.93064 | + | 17.6909i | −0.322023 | + | 0.573667i | ||||
\(952\) | 7.18071 | + | 1.66404i | 0.232728 | + | 0.0539318i | ||||
\(953\) | 16.4109 | − | 5.33221i | 0.531600 | − | 0.172727i | −0.0309032 | − | 0.999522i | \(-0.509838\pi\) |
0.562503 | + | 0.826795i | \(0.309838\pi\) | |||||||
\(954\) | −43.7820 | − | 28.3930i | −1.41750 | − | 0.919258i | ||||
\(955\) | 9.82405 | − | 14.4796i | 0.317899 | − | 0.468548i | ||||
\(956\) | 1.14673 | − | 24.3329i | 0.0370880 | − | 0.786981i | ||||
\(957\) | −13.0313 | + | 23.2146i | −0.421243 | + | 0.750421i | ||||
\(958\) | −5.68685 | + | 31.1410i | −0.183734 | + | 1.00612i | ||||
\(959\) | 2.80242 | − | 2.03608i | 0.0904949 | − | 0.0657484i | ||||
\(960\) | −9.80168 | − | 29.3926i | −0.316348 | − | 0.948643i | ||||
\(961\) | 16.1352 | + | 11.7229i | 0.520489 | + | 0.378158i | ||||
\(962\) | −5.96946 | + | 5.69477i | −0.192463 | + | 0.183607i | ||||
\(963\) | 17.9717 | + | 7.48629i | 0.579130 | + | 0.241242i | ||||
\(964\) | 21.3501 | + | 8.06676i | 0.687641 | + | 0.259813i | ||||
\(965\) | 3.85572 | − | 1.39149i | 0.124120 | − | 0.0447938i | ||||
\(966\) | −0.561870 | − | 2.19732i | −0.0180779 | − | 0.0706975i | ||||
\(967\) | −25.1367 | − | 8.16741i | −0.808341 | − | 0.262646i | −0.124446 | − | 0.992226i | \(-0.539715\pi\) |
−0.683895 | + | 0.729580i | \(0.739715\pi\) | |||||||
\(968\) | 18.0564 | − | 7.64689i | 0.580353 | − | 0.245781i | ||||
\(969\) | −13.3579 | + | 12.3232i | −0.429118 | + | 0.395877i | ||||
\(970\) | 4.49614 | + | 26.8824i | 0.144362 | + | 0.863142i | ||||
\(971\) | 10.7114 | + | 32.9664i | 0.343746 | + | 1.05794i | 0.962252 | + | 0.272161i | \(0.0877382\pi\) |
−0.618506 | + | 0.785780i | \(0.712262\pi\) | |||||||
\(972\) | −28.6483 | − | 12.2993i | −0.918896 | − | 0.394500i | ||||
\(973\) | 12.6783 | + | 9.21134i | 0.406448 | + | 0.295302i | ||||
\(974\) | 0.303321 | + | 2.25798i | 0.00971903 | + | 0.0723503i | ||||
\(975\) | 37.0414 | + | 17.7625i | 1.18627 | + | 0.568856i | ||||
\(976\) | −21.6846 | + | 12.8261i | −0.694106 | + | 0.410553i | ||||
\(977\) | −5.28930 | + | 7.28009i | −0.169220 | + | 0.232911i | −0.885201 | − | 0.465208i | \(-0.845979\pi\) |
0.715982 | + | 0.698119i | \(0.245979\pi\) | |||||||
\(978\) | 3.47135 | + | 0.221830i | 0.111001 | + | 0.00709335i | ||||
\(979\) | 24.0436 | − | 7.81223i | 0.768436 | − | 0.249680i | ||||
\(980\) | 23.0955 | + | 17.3117i | 0.737757 | + | 0.553001i | ||||
\(981\) | 24.3401 | − | 5.79205i | 0.777119 | − | 0.184926i | ||||
\(982\) | 23.9842 | − | 3.22187i | 0.765367 | − | 0.102814i | ||||
\(983\) | 2.21968 | − | 6.83147i | 0.0707968 | − | 0.217890i | −0.909398 | − | 0.415928i | \(-0.863457\pi\) |
0.980194 | + | 0.198038i | \(0.0634569\pi\) | |||||||
\(984\) | 4.21250 | + | 7.40168i | 0.134290 | + | 0.235957i | ||||
\(985\) | 18.6153 | − | 14.4624i | 0.593132 | − | 0.460812i | ||||
\(986\) | 33.4555 | + | 18.0509i | 1.06544 | + | 0.574858i | ||||
\(987\) | 1.51476 | + | 12.9088i | 0.0482154 | + | 0.410891i | ||||
\(988\) | −22.0274 | − | 17.6461i | −0.700784 | − | 0.561397i | ||||
\(989\) | 1.80160 | − | 2.47970i | 0.0572877 | − | 0.0788497i | ||||
\(990\) | 7.43884 | + | 17.6271i | 0.236422 | + | 0.560225i | ||||
\(991\) | 24.4206 | + | 33.6121i | 0.775745 | + | 1.06772i | 0.995739 | + | 0.0922206i | \(0.0293965\pi\) |
−0.219993 | + | 0.975501i | \(0.570603\pi\) | |||||||
\(992\) | −37.8792 | + | 13.9778i | −1.20267 | + | 0.443796i | ||||
\(993\) | 9.55775 | − | 17.0266i | 0.303306 | − | 0.540323i | ||||
\(994\) | 14.4018 | + | 2.63001i | 0.456799 | + | 0.0834188i | ||||
\(995\) | −15.0814 | − | 41.7894i | −0.478113 | − | 1.32481i | ||||
\(996\) | −0.691126 | − | 9.89721i | −0.0218992 | − | 0.313605i | ||||
\(997\) | 8.76401 | + | 26.9728i | 0.277559 | + | 0.854239i | 0.988531 | + | 0.151018i | \(0.0482552\pi\) |
−0.710972 | + | 0.703220i | \(0.751745\pi\) | |||||||
\(998\) | 7.22917 | − | 13.3985i | 0.228835 | − | 0.424122i | ||||
\(999\) | 0.231719 | + | 6.38620i | 0.00733126 | + | 0.202050i |
(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 | 300.2.n.a.191.47 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.191.10 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.191.13 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.191.44 | yes | 224 | |
25.11 | even | 5 | inner | 300.2.n.a.11.44 | yes | 224 | |
75.11 | odd | 10 | inner | 300.2.n.a.11.13 | yes | 224 | |
100.11 | odd | 10 | inner | 300.2.n.a.11.10 | ✓ | 224 | |
300.11 | even | 10 | inner | 300.2.n.a.11.47 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.10 | ✓ | 224 | 100.11 | odd | 10 | inner | |
300.2.n.a.11.13 | yes | 224 | 75.11 | odd | 10 | inner | |
300.2.n.a.11.44 | yes | 224 | 25.11 | even | 5 | inner | |
300.2.n.a.11.47 | yes | 224 | 300.11 | even | 10 | inner | |
300.2.n.a.191.10 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.13 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.44 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.191.47 | yes | 224 | 1.1 | even | 1 | trivial |